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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2405.07972
|
Leonardo Pipolo De Gioia
|
Leonardo Pipolo de Gioia and Ana-Maria Raclariu
|
Celestial amplitudes from conformal correlators with bulk-point
kinematics
|
48 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that two- and three-point celestial (C)CFT$_{d-1}$ amplitudes can be
directly obtained from correlation functions in a unitary Lorentzian CFT$_d$ on
$\mathbb{R}\times S^{d-1}$. The recipe involves a rescaling of the operators,
followed by an expansion around a bulk point configuration and a transformation
to an $S^{d-1}$ conformal primary basis. The first two steps project the
CFT$_d$ correlators onto distributions on $S^{d-1}$. The final step implements
a dimensional reduction yielding CCFT$_{d-1}$ amplitudes that are manifestly
vanishing for all in/out configurations and Poincar\'e invariant. The
dimensional reduction may be implemented either by evaluating certain time
integral transforms around the bulk-point limit, or by analytically continuing
the CFT$_d$ operator dimensions and restricting the operators to $S^{d-1}$ time
slices separated by $\pi$ in global time. The latter prescription generates the
correct normalization for both two- and three-point functions. On the other
hand, the celestial three-point amplitudes obtained via the former prescription
are found to only agree after evaluating a residue at an integer linear
combination of the CFT$_d$ conformal dimensions. The correct normalization may
also be obtained by considering a different integration path in the uplift of
the complexified time plane to its universal cover.
|
[
{
"created": "Mon, 13 May 2024 17:48:20 GMT",
"version": "v1"
}
] |
2024-05-14
|
[
[
"de Gioia",
"Leonardo Pipolo",
""
],
[
"Raclariu",
"Ana-Maria",
""
]
] |
We show that two- and three-point celestial (C)CFT$_{d-1}$ amplitudes can be directly obtained from correlation functions in a unitary Lorentzian CFT$_d$ on $\mathbb{R}\times S^{d-1}$. The recipe involves a rescaling of the operators, followed by an expansion around a bulk point configuration and a transformation to an $S^{d-1}$ conformal primary basis. The first two steps project the CFT$_d$ correlators onto distributions on $S^{d-1}$. The final step implements a dimensional reduction yielding CCFT$_{d-1}$ amplitudes that are manifestly vanishing for all in/out configurations and Poincar\'e invariant. The dimensional reduction may be implemented either by evaluating certain time integral transforms around the bulk-point limit, or by analytically continuing the CFT$_d$ operator dimensions and restricting the operators to $S^{d-1}$ time slices separated by $\pi$ in global time. The latter prescription generates the correct normalization for both two- and three-point functions. On the other hand, the celestial three-point amplitudes obtained via the former prescription are found to only agree after evaluating a residue at an integer linear combination of the CFT$_d$ conformal dimensions. The correct normalization may also be obtained by considering a different integration path in the uplift of the complexified time plane to its universal cover.
|
1307.1749
|
Eric D'Hoker
|
Eric D'Hoker and Duong H. Phong
|
Two-loop vacuum energy for Calabi-Yau orbifold models
|
70 pages, 2 figures
| null |
10.1016/j.nuclphysb.2013.10.014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A precise evaluation of the two-loop vacuum energy is provided for certain
Z_2 x Z_2 Calabi-Yau orbifold models in the Heterotic string. The evaluation is
based on the recent general prescription for superstring perturbation theory in
terms of integration over cycles in supermoduli space, implemented at two-loops
with the gauge-fixing methods based on the natural projection of supermoduli
space onto moduli space using the super-period matrix. It is shown that the
contribution from the interior of supermoduli space (computed with the
procedure that has been used in previous two-loop computations) vanishes
identically for both the E_8 x E_8 and Spin (32)/Z_2 Heterotic strings. The
contribution from the boundary of supermoduli space is also evaluated, and
shown to vanish for the E_8 x E_8 string but not for the Spin (32)/Z_2 string,
thus breaking supersymmetry in this last model. As a byproduct, the vacuum
energy in Type II superstrings is shown to vanish as well for these orbifolds.
|
[
{
"created": "Sat, 6 Jul 2013 05:08:02 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"Duong H.",
""
]
] |
A precise evaluation of the two-loop vacuum energy is provided for certain Z_2 x Z_2 Calabi-Yau orbifold models in the Heterotic string. The evaluation is based on the recent general prescription for superstring perturbation theory in terms of integration over cycles in supermoduli space, implemented at two-loops with the gauge-fixing methods based on the natural projection of supermoduli space onto moduli space using the super-period matrix. It is shown that the contribution from the interior of supermoduli space (computed with the procedure that has been used in previous two-loop computations) vanishes identically for both the E_8 x E_8 and Spin (32)/Z_2 Heterotic strings. The contribution from the boundary of supermoduli space is also evaluated, and shown to vanish for the E_8 x E_8 string but not for the Spin (32)/Z_2 string, thus breaking supersymmetry in this last model. As a byproduct, the vacuum energy in Type II superstrings is shown to vanish as well for these orbifolds.
|
0705.2632
|
Piljin Yi
|
Deog Ki Hong, Mannque Rho, Ho-Ung Yee, and Piljin Yi
|
Dynamics of Baryons from String Theory and Vector Dominance
|
65pages, 3 figures, vector mesons and axial-vector mesons are now
canonically normalized (comparisons with data and conclusions unaffected)
|
JHEP0709:063,2007
|
10.1088/1126-6708/2007/09/063
|
KIAS-P07017, PNUTP-07/A03
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a holographic model of QCD from string theory, a la Sakai and
Sugimoto, and study baryons. In this model, mesons are collectively realized as
a five-dimensional \$U(N_F)=U(1)\times SU(N_F)$ Yang-Mills field and baryons
are classically identified as $SU(N_F)$ solitons with a unit Pontryagin number
and $N_c$ electric charges. The soliton is shown to be very small in the large
't Hooft coupling limit, allowing us to introduce an effective field ${\cal
B}$. Its coupling to the mesons are dictated by the soliton structure, and
consists of a direct magnetic coupling to the $SU(N_F)$ field strength as well
as a minimal coupling to the $U(N_F)$ gauge field. Upon the dimensional
reduction, this effective action reproduces all interaction terms between
nucleons and an infinite tower of mesons in a manner consistent with the large
$N_c$ expansion. We further find that all electromagnetic interactions, as
inferred from the same effective action via a holographic prescription, are
mediated by an infinite tower of vector mesons, rendering the baryon
electromagnetic form factors completely vector-dominated as well. We estimate
nucleon-meson couplings and also the anomalous magnetic moments, which compare
well with nature.
|
[
{
"created": "Fri, 18 May 2007 06:03:02 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Sep 2007 01:47:56 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Mar 2009 02:03:54 GMT",
"version": "v3"
}
] |
2009-03-10
|
[
[
"Hong",
"Deog Ki",
""
],
[
"Rho",
"Mannque",
""
],
[
"Yee",
"Ho-Ung",
""
],
[
"Yi",
"Piljin",
""
]
] |
We consider a holographic model of QCD from string theory, a la Sakai and Sugimoto, and study baryons. In this model, mesons are collectively realized as a five-dimensional \$U(N_F)=U(1)\times SU(N_F)$ Yang-Mills field and baryons are classically identified as $SU(N_F)$ solitons with a unit Pontryagin number and $N_c$ electric charges. The soliton is shown to be very small in the large 't Hooft coupling limit, allowing us to introduce an effective field ${\cal B}$. Its coupling to the mesons are dictated by the soliton structure, and consists of a direct magnetic coupling to the $SU(N_F)$ field strength as well as a minimal coupling to the $U(N_F)$ gauge field. Upon the dimensional reduction, this effective action reproduces all interaction terms between nucleons and an infinite tower of mesons in a manner consistent with the large $N_c$ expansion. We further find that all electromagnetic interactions, as inferred from the same effective action via a holographic prescription, are mediated by an infinite tower of vector mesons, rendering the baryon electromagnetic form factors completely vector-dominated as well. We estimate nucleon-meson couplings and also the anomalous magnetic moments, which compare well with nature.
|
hep-th/0212113
|
Tom Banks
|
T. Banks, W. Fischler
|
Black Crunch
|
13 pages, JHEP3 Latex
| null | null |
RUNHETC-2002-36, SCIPP-02/26, UTTG-13-02
|
hep-th astro-ph gr-qc hep-ph
| null |
We study the growth of fluctuations in collapsing cosmologies, extending old
work of Lifshitz and Khalatnikov. As examples of systems where the fluctuations
have a different composition than the background we study scalar fields with
general improvement terms. Fluctuations always grow, and often dominate the
homogeneous background. We argue that even for very dilute fluctuations,
scattering processes inevitably lead to a dense gas of black holes. This leads
us to hypothesize that the generic final state of a Big Crunch is described by
a collapsing $p=\rho$ FRW cosmology. We conjecture that the black hole fluid is
invariant under the conformal Killing symmetry of this metric, so that the
final state is in fact stationary.
|
[
{
"created": "Tue, 10 Dec 2002 17:31:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Banks",
"T.",
""
],
[
"Fischler",
"W.",
""
]
] |
We study the growth of fluctuations in collapsing cosmologies, extending old work of Lifshitz and Khalatnikov. As examples of systems where the fluctuations have a different composition than the background we study scalar fields with general improvement terms. Fluctuations always grow, and often dominate the homogeneous background. We argue that even for very dilute fluctuations, scattering processes inevitably lead to a dense gas of black holes. This leads us to hypothesize that the generic final state of a Big Crunch is described by a collapsing $p=\rho$ FRW cosmology. We conjecture that the black hole fluid is invariant under the conformal Killing symmetry of this metric, so that the final state is in fact stationary.
|
hep-th/0306290
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
|
14 pages, no figures, minor changes with two couples of references
added and deleted
|
Phys.Lett. B572 (2003) 91-100
|
10.1016/j.physletb.2003.07.086
|
CSULB-PA-03-3
|
hep-th
| null |
We formulate noncommutative self-dual N=4 supersymmetric Yang-Mills theory in
D=2+2 dimensions. As in the corresponding commutative case, this theory can
serve as the possible master theory of all the noncommutative supersymmetric
integrable models in lower dimensions. As a by-product, noncommutative
self-dual N=2 supersymmetric Yang-Mills theory is obtained in D=2+2. We also
perform a dimensional reduction of the N=2 theory further into N=(2,2) in
D=1+1, as a basis for more general future applications. As a typical example,
we show how noncommutative integrable matrix N=(1,0) supersymmetric KdV
equations in D=1+1 arise from this theory, via the Yang-Mills gauge groups
GL(n, R) or SL(2n, R).
|
[
{
"created": "Mon, 30 Jun 2003 04:09:47 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2003 03:26:26 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
We formulate noncommutative self-dual N=4 supersymmetric Yang-Mills theory in D=2+2 dimensions. As in the corresponding commutative case, this theory can serve as the possible master theory of all the noncommutative supersymmetric integrable models in lower dimensions. As a by-product, noncommutative self-dual N=2 supersymmetric Yang-Mills theory is obtained in D=2+2. We also perform a dimensional reduction of the N=2 theory further into N=(2,2) in D=1+1, as a basis for more general future applications. As a typical example, we show how noncommutative integrable matrix N=(1,0) supersymmetric KdV equations in D=1+1 arise from this theory, via the Yang-Mills gauge groups GL(n, R) or SL(2n, R).
|
1210.3020
|
Spyros Sypsas
|
Rhiannon Gwyn, Gonzalo A. Palma, Mairi Sakellariadou and Spyros Sypsas
|
Effective field theory of weakly coupled inflationary models
|
36 pages, v2: references added, minor changes to match published
version
|
JCAP04(2013)004
|
10.1088/1475-7516/2013/04/004
|
KCL-PH-TH/2012-43
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The application of Effective Field Theory (EFT) methods to inflation has
taken a central role in our current understanding of the very early universe.
The EFT perspective has been particularly useful in analyzing the
self-interactions determining the evolution of co-moving curvature
perturbations (Goldstone boson modes) and their influence on low-energy
observables. However, the standard EFT formalism, to lowest order in spacetime
differential operators, does not provide the most general parametrization of a
theory that remains weakly coupled throughout the entire low-energy regime.
Here we study the EFT formulation by including spacetime differential operators
implying a scale dependence of the Goldstone boson self-interactions and its
dispersion relation. These operators are shown to arise naturally from the
low-energy interaction of the Goldstone boson with heavy fields that have been
integrated out. We find that the EFT then stays weakly coupled all the way up
to the cutoff scale at which ultraviolet degrees of freedom become operative.
This opens up a regime of new physics where the dispersion relation is
dominated by a quadratic dependence on the momentum \omega ~ p^2. In addition,
provided that modes crossed the horizon within this energy range, the
prediction of inflationary observables - including non-Gaussian signatures -
are significantly affected by the new scales characterizing it.
|
[
{
"created": "Wed, 10 Oct 2012 19:59:59 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Apr 2013 13:52:54 GMT",
"version": "v2"
}
] |
2013-04-05
|
[
[
"Gwyn",
"Rhiannon",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Sypsas",
"Spyros",
""
]
] |
The application of Effective Field Theory (EFT) methods to inflation has taken a central role in our current understanding of the very early universe. The EFT perspective has been particularly useful in analyzing the self-interactions determining the evolution of co-moving curvature perturbations (Goldstone boson modes) and their influence on low-energy observables. However, the standard EFT formalism, to lowest order in spacetime differential operators, does not provide the most general parametrization of a theory that remains weakly coupled throughout the entire low-energy regime. Here we study the EFT formulation by including spacetime differential operators implying a scale dependence of the Goldstone boson self-interactions and its dispersion relation. These operators are shown to arise naturally from the low-energy interaction of the Goldstone boson with heavy fields that have been integrated out. We find that the EFT then stays weakly coupled all the way up to the cutoff scale at which ultraviolet degrees of freedom become operative. This opens up a regime of new physics where the dispersion relation is dominated by a quadratic dependence on the momentum \omega ~ p^2. In addition, provided that modes crossed the horizon within this energy range, the prediction of inflationary observables - including non-Gaussian signatures - are significantly affected by the new scales characterizing it.
|
hep-th/9304094
| null |
G. Grignani and G. Nardelli
|
Canonical Analysis of Poincare' Gauge Theories for Two Dimansional
Gravity
|
13 pages, plain \TeX
|
Class.Quant.Grav.10:2569-2580,1993
|
10.1088/0264-9381/10/12/016
|
DFUPG-76-1993/UTF-292-1993
|
hep-th
| null |
Following the general method discussed in Refs.[1,2], Liouville gravity and
the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 +
torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the
first order formalism the models present, besides the Poincar\'e gauge
symmetry, additional local symmetries. We show that in both models one can fix
these additional symmetries preserving the ISO(1,1) gauge symmetry and the
diffeomorphism invariance, so that, after a preliminary Dirac procedure, the
remaining constraints uniquely satisfy the ISO(1,1) algebra. After the
additional symmetry is fixed, the equations of motion are unaltered. One thus
remarkably simplifies the canonical structure, especially of the second model.
Moreover, one shows that the Poincar\'e group can always be used consistently
as a gauge group for gravitational theories in two dimensions.
|
[
{
"created": "Wed, 21 Apr 1993 12:50:04 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Grignani",
"G.",
""
],
[
"Nardelli",
"G.",
""
]
] |
Following the general method discussed in Refs.[1,2], Liouville gravity and the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 + torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the first order formalism the models present, besides the Poincar\'e gauge symmetry, additional local symmetries. We show that in both models one can fix these additional symmetries preserving the ISO(1,1) gauge symmetry and the diffeomorphism invariance, so that, after a preliminary Dirac procedure, the remaining constraints uniquely satisfy the ISO(1,1) algebra. After the additional symmetry is fixed, the equations of motion are unaltered. One thus remarkably simplifies the canonical structure, especially of the second model. Moreover, one shows that the Poincar\'e group can always be used consistently as a gauge group for gravitational theories in two dimensions.
|
2206.13878
|
Ali Imaanpur
|
Ali Imaanpur
|
Correction to baryon spectrum in holographic QCD
|
10 pages
|
Phys.Lett.B 832 (2022) 137233
|
10.1016/j.physletb.2022.137233
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study solitons in the context of Sakai-Sugimoto-Witten holographic model
of QCD. In the large 't Hooft coupling limit, flat space instantons give an
approximate description of baryons. We provide an ansatz through deforming the
BPST instanton by zero modes and obtain a subleading correction to the
effective action. We also consider the quantum mechanical description of the
collective coordinates. The correction term appears as a perturbation to the
potential of the Hamiltonian and hence we can derive a first order correction
to the mass spectrum of baryons.
|
[
{
"created": "Tue, 28 Jun 2022 10:44:19 GMT",
"version": "v1"
}
] |
2022-06-29
|
[
[
"Imaanpur",
"Ali",
""
]
] |
We study solitons in the context of Sakai-Sugimoto-Witten holographic model of QCD. In the large 't Hooft coupling limit, flat space instantons give an approximate description of baryons. We provide an ansatz through deforming the BPST instanton by zero modes and obtain a subleading correction to the effective action. We also consider the quantum mechanical description of the collective coordinates. The correction term appears as a perturbation to the potential of the Hamiltonian and hence we can derive a first order correction to the mass spectrum of baryons.
|
1807.05431
|
Matheus Araujo Marques
|
M.A. Marques
|
Vortices in vacuumless systems
|
11 pages, 12 figures; to appear in AHEP
|
Adv.High Energy Phys. 2019 (2019) 9406585
|
10.1155/2019/9406585
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the presence of vortex solutions in potentials without vacuum
state. The study is conducted considering Maxwell and Chern-Simons dynamics.
Also, we use a first order formalism that helps us to find the solutions and
their respective electromagnetic fields and energy densities. As a bonus, we
get to calculate the energy without knowing the explicit solutions. Even though
the solutions present a large "tail" which goes far away from the origin, the
magnetic flux remains a well defined topological invariant.
|
[
{
"created": "Sat, 14 Jul 2018 19:00:11 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2018 22:16:17 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Mar 2019 14:44:50 GMT",
"version": "v3"
}
] |
2019-06-14
|
[
[
"Marques",
"M. A.",
""
]
] |
We investigate the presence of vortex solutions in potentials without vacuum state. The study is conducted considering Maxwell and Chern-Simons dynamics. Also, we use a first order formalism that helps us to find the solutions and their respective electromagnetic fields and energy densities. As a bonus, we get to calculate the energy without knowing the explicit solutions. Even though the solutions present a large "tail" which goes far away from the origin, the magnetic flux remains a well defined topological invariant.
|
hep-th/0408067
|
Nicolas Moeller
|
Nicolas Moeller
|
Closed Bosonic String Field Theory At Quartic Order
|
23 pages, 6 figures. Section 6 clarified by better notations and the
addition of a figure; added footnote and references about integrability;
improved the accuracy of the comparison in the last line of Section 7
|
JHEP 0411:018,2004
|
10.1088/1126-6708/2004/11/018
|
KCL-MTH-04-11
|
hep-th
| null |
We give a complete numerical description of the geometry of the four-point
contact interaction of closed bosonic string field theory. Namely, we compute
the boundary of the relevant region of the moduli space of the four-punctured
spheres, and everywhere in this region we give the local coordinates around
each punctures in terms of a Strebel quadratic differential and mapping radii.
The numerical methods are explained in details. And the results are translated
into fits, which can in principle be used to compute the contact interaction of
any four off-shell string states.
|
[
{
"created": "Mon, 9 Aug 2004 14:59:58 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 2004 13:59:17 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Dec 2004 14:41:46 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Moeller",
"Nicolas",
""
]
] |
We give a complete numerical description of the geometry of the four-point contact interaction of closed bosonic string field theory. Namely, we compute the boundary of the relevant region of the moduli space of the four-punctured spheres, and everywhere in this region we give the local coordinates around each punctures in terms of a Strebel quadratic differential and mapping radii. The numerical methods are explained in details. And the results are translated into fits, which can in principle be used to compute the contact interaction of any four off-shell string states.
|
2206.08875
|
Akshay Yelleshpur Srikant
|
Shounak De, Yangrui Hu, Akshay Yelleshpur Srikant, Anastasia Volovich
|
Correlators of Four Light-Ray Operators in CCFT
| null | null |
10.1007/JHEP10(2022)170
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Building on results in arXiv:2203.04255, we compute the correlator of four
gluon light-ray operators in celestial CFT. We find that it is described by Fox
H-functions and generalized I-functions of multiple variables. We also analyze
light-ray correlators for a scalar amplitude involving the exchange of a
massive scalar.
|
[
{
"created": "Fri, 17 Jun 2022 16:24:25 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2022 20:03:56 GMT",
"version": "v2"
}
] |
2022-11-23
|
[
[
"De",
"Shounak",
""
],
[
"Hu",
"Yangrui",
""
],
[
"Srikant",
"Akshay Yelleshpur",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
Building on results in arXiv:2203.04255, we compute the correlator of four gluon light-ray operators in celestial CFT. We find that it is described by Fox H-functions and generalized I-functions of multiple variables. We also analyze light-ray correlators for a scalar amplitude involving the exchange of a massive scalar.
|
hep-th/0204066
|
Kazuo Ghoroku
|
Iver Brevik, Kazuo Ghoroku, Sergei D. Odintsov and Masanobu Yahiro
|
Localization of Gravity on Brane Embedded in $AdS_5$ and $dS_5$
|
18 pages, 3 figures, Latex file
|
Phys.Rev.D66:064016,2002
|
10.1103/PhysRevD.66.064016
|
FIT HE - 02-01
|
hep-th
| null |
We address the localization of gravity on the Friedmann-Robertson-Walker type
brane embedded in either $AdS_{5}$ or $dS_{5}$ bulk space,and derive two
definite limits between which the value of the bulk cosmological constant has
to lie in order to localize the graviton on the brane.The lower limit implies
that the brane should be either $dS_{4}$ or 4d Minkowski in the $AdS_{5}$
bulk.The positive upper limit indicates that the gravity can be trapped also on
curved brane in the $dS_{5}$ bulk space.Some implications to recent
cosmological scenarios are also discussed.
|
[
{
"created": "Mon, 8 Apr 2002 06:31:10 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2002 01:50:42 GMT",
"version": "v2"
},
{
"created": "Thu, 16 May 2002 04:12:12 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Jul 2002 09:20:38 GMT",
"version": "v4"
}
] |
2009-01-14
|
[
[
"Brevik",
"Iver",
""
],
[
"Ghoroku",
"Kazuo",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Yahiro",
"Masanobu",
""
]
] |
We address the localization of gravity on the Friedmann-Robertson-Walker type brane embedded in either $AdS_{5}$ or $dS_{5}$ bulk space,and derive two definite limits between which the value of the bulk cosmological constant has to lie in order to localize the graviton on the brane.The lower limit implies that the brane should be either $dS_{4}$ or 4d Minkowski in the $AdS_{5}$ bulk.The positive upper limit indicates that the gravity can be trapped also on curved brane in the $dS_{5}$ bulk space.Some implications to recent cosmological scenarios are also discussed.
|
1102.2386
|
Alberto Mariotti
|
Riccardo Argurio, Zohar Komargodski, Alberto Mariotti
|
Pseudo-Goldstini in Field Theory
|
21 pages, harvmac, 4 figures. v2: references added, minor corrections
| null |
10.1103/PhysRevLett.107.061601
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider two SUSY-breaking hidden sectors which decouple when their
respective couplings to the visible particles are switched off. In such a
scenario one expects to find two light fermions: the Goldstino and the
pseudo-Goldstino. While the former remains massless in the rigid limit, the
latter becomes massive due to radiative effects which we analyze from several
different points of view. This analysis is greatly facilitated by a version of
the Goldberger-Treiman relation, which allows us to write a universal
non-perturbative formula for the mass. We carry out the analysis in detail in
the context of gauge mediation, where we find that the pseudo-Goldstino mass is
at least around the GeV scale and can be easily at the electroweak range, even
in low scale models. This leads to interesting and unconventional possibilities
in collider physics and it also has potential applications in cosmology.
|
[
{
"created": "Fri, 11 Feb 2011 16:32:03 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2011 10:17:06 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Argurio",
"Riccardo",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Mariotti",
"Alberto",
""
]
] |
We consider two SUSY-breaking hidden sectors which decouple when their respective couplings to the visible particles are switched off. In such a scenario one expects to find two light fermions: the Goldstino and the pseudo-Goldstino. While the former remains massless in the rigid limit, the latter becomes massive due to radiative effects which we analyze from several different points of view. This analysis is greatly facilitated by a version of the Goldberger-Treiman relation, which allows us to write a universal non-perturbative formula for the mass. We carry out the analysis in detail in the context of gauge mediation, where we find that the pseudo-Goldstino mass is at least around the GeV scale and can be easily at the electroweak range, even in low scale models. This leads to interesting and unconventional possibilities in collider physics and it also has potential applications in cosmology.
|
1405.4519
|
Mir Faizal
|
Mir Faizal, Ahmed Farag Ali and Ali Nassar
|
AdS/CFT Correspondence Beyond its Supergravity Approximation
|
10 pages, 0 figures, Accepted for publication in Int. J. Mod. Phys. A
|
Int. J. Mod. Phys. A 30, 1550183 (2015)
|
10.1142/S0217751X15501833
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We will study the AdS/CFT correspondence in an intermediate region between
the strong form of this correspondence (string theory on AdS being dual to a
boundary CFT), and the weak form of this correspondence (supergravity on AdS
being dual to a boundary CFT). We will go beyond the supergravity approximation
in the AdS by using the fact that strings have an extended structure. We will
also calculate the CFT dual to such string corrections in the bulk, and
demonstrate that they are consistent with the strong form of the AdS/CFT
correspondence. So, even though the conformal dimensions of both the relevant
and the irrelevant operators will receive string corrections, the conformal
dimension of marginal operators will not receive any such corrections.
|
[
{
"created": "Sun, 18 May 2014 15:52:41 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2015 12:16:14 GMT",
"version": "v2"
}
] |
2015-11-10
|
[
[
"Faizal",
"Mir",
""
],
[
"Ali",
"Ahmed Farag",
""
],
[
"Nassar",
"Ali",
""
]
] |
We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual to a boundary CFT). We will go beyond the supergravity approximation in the AdS by using the fact that strings have an extended structure. We will also calculate the CFT dual to such string corrections in the bulk, and demonstrate that they are consistent with the strong form of the AdS/CFT correspondence. So, even though the conformal dimensions of both the relevant and the irrelevant operators will receive string corrections, the conformal dimension of marginal operators will not receive any such corrections.
|
hep-th/0101026
|
J. de Boer
|
Jan de Boer
|
The Holographic Renormalization Group
|
LaTeX, 21 pages, contribution to the proceedings of the workshop "The
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions", Berlin, October 2000
|
Fortsch.Phys. 49 (2001) 339-358
|
10.1002/1521-3978(200105)49:4/6<339::AID-PROP339>3.0.CO;2-A
| null |
hep-th
| null |
In this lecture, we review the derivation of the holographic renormalization
group given in hep-th/9912012. Some extra background material is included, and
various applications are discussed.
|
[
{
"created": "Wed, 3 Jan 2001 23:36:40 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"de Boer",
"Jan",
""
]
] |
In this lecture, we review the derivation of the holographic renormalization group given in hep-th/9912012. Some extra background material is included, and various applications are discussed.
|
1612.06223
|
Nicolai Christiansen
|
Nicolai Christiansen
|
Four-Derivative Quantum Gravity Beyond Perturbation Theory
|
14 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we investigate the ultraviolet behavior of Euclidean
four-derivative quantum gravity beyond perturbation theory. In addition to a
perturbative fixed point, we find an ultraviolet fixed point that is
non-trivial in all couplings and is described by only two free parameters. This
result is in line with the asymptotic safety scenario in quantum gravity. In
particular, it supports the conjecture that the full theory is described by a
finite number of free parameters.
|
[
{
"created": "Mon, 19 Dec 2016 15:22:46 GMT",
"version": "v1"
}
] |
2016-12-20
|
[
[
"Christiansen",
"Nicolai",
""
]
] |
In this work we investigate the ultraviolet behavior of Euclidean four-derivative quantum gravity beyond perturbation theory. In addition to a perturbative fixed point, we find an ultraviolet fixed point that is non-trivial in all couplings and is described by only two free parameters. This result is in line with the asymptotic safety scenario in quantum gravity. In particular, it supports the conjecture that the full theory is described by a finite number of free parameters.
|
2207.13719
|
Riccardo Gonzo
|
Riccardo Gonzo, Tristan McLoughlin, Andrea Puhm
|
Celestial holography on Kerr-Schild backgrounds
|
45 pages + references, 3 figures
|
JHEP10(2022)073
|
10.1007/JHEP10(2022)073
|
CPHT-RR046.062022, HU-EP-22/26, SAGEX-22-24-E, TCD 22-04
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the celestial holography proposal for non-trivial asymptotically
flat backgrounds including the Coulomb field of a static and spinning point
charge, their gravitational counterparts described by the Schwarzschild and
Kerr metrics, as well as the Aichelburg-Sexl shockwave and spinning shockwave
geometries and their electromagnetic cousins. We compute celestial two-point
amplitudes on these Kerr-Schild type backgrounds which have the desirable
feature, due to the presence of an external source, that they are non-vanishing
for general operator positions and are not constrained by the kinematic delta
functions of flat space celestial CFT correlators. Of particular interest is
the case of shockwave backgrounds where the two-point scattering amplitude of
massless scalars can be interpreted as a standard CFT three-point correlator
between two massless asymptotic states and a conformal primary shockwave
operator. We furthermore show that the boundary on-shell action for general
backgrounds becomes the generating functional for tree-level correlation
functions in celestial CFT. Finally, we derive (conformal) Faddeev-Kulish
dressings for particle-like backgrounds which remove all infrared divergent
terms in the two-point functions to all orders in perturbation theory.
|
[
{
"created": "Wed, 27 Jul 2022 18:00:06 GMT",
"version": "v1"
}
] |
2022-10-27
|
[
[
"Gonzo",
"Riccardo",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Puhm",
"Andrea",
""
]
] |
We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning point charge, their gravitational counterparts described by the Schwarzschild and Kerr metrics, as well as the Aichelburg-Sexl shockwave and spinning shockwave geometries and their electromagnetic cousins. We compute celestial two-point amplitudes on these Kerr-Schild type backgrounds which have the desirable feature, due to the presence of an external source, that they are non-vanishing for general operator positions and are not constrained by the kinematic delta functions of flat space celestial CFT correlators. Of particular interest is the case of shockwave backgrounds where the two-point scattering amplitude of massless scalars can be interpreted as a standard CFT three-point correlator between two massless asymptotic states and a conformal primary shockwave operator. We furthermore show that the boundary on-shell action for general backgrounds becomes the generating functional for tree-level correlation functions in celestial CFT. Finally, we derive (conformal) Faddeev-Kulish dressings for particle-like backgrounds which remove all infrared divergent terms in the two-point functions to all orders in perturbation theory.
|
2007.07144
|
Mahdi Godazgar
|
Hadi Godazgar, Mahdi Godazgar, Malcolm J. Perry
|
Hamiltonian derivation of dual gravitational charges
|
39 pages
|
J. High Energ. Phys. 2020, 84 (2020)
|
10.1007/JHEP09(2020)084
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a Hamiltonian derivation of recently discovered dual BMS charges.
In order to do so, we work in the first order formalism and add to the usual
Palatini action, the Holst term, which does not contribute to the equations of
motion. We give a method for finding the leading order integrable dual charges
\`a la Wald-Zoupas and construct the corresponding charge algebra. We argue
that in the presence of fermions, the relevant term that leads to dual charges
is the topological Nieh-Yan term.
|
[
{
"created": "Tue, 14 Jul 2020 16:02:58 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2020 17:00:36 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Sep 2020 16:04:55 GMT",
"version": "v3"
}
] |
2020-09-21
|
[
[
"Godazgar",
"Hadi",
""
],
[
"Godazgar",
"Mahdi",
""
],
[
"Perry",
"Malcolm J.",
""
]
] |
We provide a Hamiltonian derivation of recently discovered dual BMS charges. In order to do so, we work in the first order formalism and add to the usual Palatini action, the Holst term, which does not contribute to the equations of motion. We give a method for finding the leading order integrable dual charges \`a la Wald-Zoupas and construct the corresponding charge algebra. We argue that in the presence of fermions, the relevant term that leads to dual charges is the topological Nieh-Yan term.
|
0807.0163
|
Jonathan Bagger
|
Jonathan Bagger and Neil Lambert
|
Three-Algebras and N=6 Chern-Simons Gauge Theories
|
19 pages. Typos corrected
|
Phys.Rev.D79:025002,2009
|
10.1103/PhysRevD.79.025002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the general form for a three-dimensional scale-invariant field
theory with N=6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry. The
results can be written in terms of a 3-algebra in which the triple product is
not antisymmetric. For a specific choice of 3-algebra we obtain the N=6
theories that have been recently proposed as models for M2-branes in an R^8/Z_k
orbifold background.
|
[
{
"created": "Tue, 1 Jul 2008 18:20:07 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Aug 2008 01:41:00 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Oct 2008 20:53:42 GMT",
"version": "v3"
},
{
"created": "Fri, 19 Dec 2008 15:29:11 GMT",
"version": "v4"
}
] |
2010-04-06
|
[
[
"Bagger",
"Jonathan",
""
],
[
"Lambert",
"Neil",
""
]
] |
We derive the general form for a three-dimensional scale-invariant field theory with N=6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry. The results can be written in terms of a 3-algebra in which the triple product is not antisymmetric. For a specific choice of 3-algebra we obtain the N=6 theories that have been recently proposed as models for M2-branes in an R^8/Z_k orbifold background.
|
2105.00829
|
E. R. Bezerra de Mello
|
S. Bellucci, W. Oliveira dos Santos, E. R. Bezerra de Mello and A. A.
Saharian
|
Topological effects in fermion condensate induced by cosmic string and
compactification on AdS bulk
|
28 pages, 6 figures. Version accepted for publication in Symmetry
|
Symmetry 2022, 14(3), 584
|
10.3390/sym14030584
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the fermion condensate (FC) for a massive spinor field on
background of the 5-dimensional locally anti-de Sitter (AdS) spacetime with a
compact dimension and in the presence of a cosmic string carrying a magnetic
flux. The FC is decomposed into two contributions. The first one corresponds to
the geometry without compactification and the second one is induced by the
compactification. Depending on the values of the parameters, the total FC can
be either positive or negative. As a limiting case, the expression for the FC
on locally Minkowski spacetime is derived. It vanishes for a massless fermion
field and the nonzero FC on the AdS bulk in the massless case is an effect
induced by gravitation. This shows that the gravitational field may essentially
influence the parameters space for phase transitions. For a massive field the
FC diverges on the string as the inverse cube of the proper distance from the
string. In the case of a massless field, depending on the magnetic flux along
the string and planar angle deficit, the limiting value of the FC on the string
can be either finite or infinite. At large distances, the decay of the FC as a
function of the distance from the string is power law for both cases of massive
and massless fields. For a cosmic string on the Minkowski bulk and for a
massive field the decay is exponential. The topological part in the FC vanishes
on the AdS boundary. We show that the FCs coincide for the fields realizing two
inequivalent irreducible representations of the Clifford algebra. In the
special case of the zero planar angle deficit, the results presented in this
paper describe Aharonov-Bohm-type effects induced by magnetic fluxes in curved
spacetime.
|
[
{
"created": "Mon, 3 May 2021 13:18:00 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 18:26:30 GMT",
"version": "v2"
}
] |
2022-04-14
|
[
[
"Bellucci",
"S.",
""
],
[
"Santos",
"W. Oliveira dos",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] |
We investigate the fermion condensate (FC) for a massive spinor field on background of the 5-dimensional locally anti-de Sitter (AdS) spacetime with a compact dimension and in the presence of a cosmic string carrying a magnetic flux. The FC is decomposed into two contributions. The first one corresponds to the geometry without compactification and the second one is induced by the compactification. Depending on the values of the parameters, the total FC can be either positive or negative. As a limiting case, the expression for the FC on locally Minkowski spacetime is derived. It vanishes for a massless fermion field and the nonzero FC on the AdS bulk in the massless case is an effect induced by gravitation. This shows that the gravitational field may essentially influence the parameters space for phase transitions. For a massive field the FC diverges on the string as the inverse cube of the proper distance from the string. In the case of a massless field, depending on the magnetic flux along the string and planar angle deficit, the limiting value of the FC on the string can be either finite or infinite. At large distances, the decay of the FC as a function of the distance from the string is power law for both cases of massive and massless fields. For a cosmic string on the Minkowski bulk and for a massive field the decay is exponential. The topological part in the FC vanishes on the AdS boundary. We show that the FCs coincide for the fields realizing two inequivalent irreducible representations of the Clifford algebra. In the special case of the zero planar angle deficit, the results presented in this paper describe Aharonov-Bohm-type effects induced by magnetic fluxes in curved spacetime.
|
2407.04625
|
Don Marolf
|
Donald Marolf
|
On the nature of ensembles from gravitational path integrals
|
21 pages + 5 page appendix
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Spacetime wormholes in gravitational path integrals have long been
interpreted in terms of ensembles of theories. Here we probe what sort of
theories such ensembles might contain. Careful consideration of a simple $d=2$
topological model indicates that the Hilbert space structure of a general
ensemble element fails to factorize over disconnected Cauchy-surface
boundaries, and in particular that its Hilbert space ${\cal
H}_{N_{CS\partial}}$ for $N_{CS\partial}$ Cauchy-surface boundaries fails to be
positive definite when the number $N_{CS\partial}$ of disconnected such
boundaries is large. This suggests a generalization of the AdS/CFT
correspondence in which a bulk theory is dual to an ensemble of theories that
deviate from standard CFTs by violating both locality and positivity (at least
under certain circumstances). Since violations of positivity are undesirable,
we propose that positivity-violating elements of the ensemble be removed when
studying physics in asymptotically AdS spacetimes (or in other contexts in
which Cauchy surfaces have asymptotic boundaries), perhaps reducing the
ensemble to a single standard CFT. Nevertheless, properties of any remaining
CFTs that are uncorrelated with positivity of ${\cal H}_{N_{CS\partial}}$ at
large $N_{CS\partial}$will agree with those of typical elements of the full
ensemble and may be computed using the ensemble average.
On the other hand, elements that violate positivity at large $N_{CS\partial}$
can still have a positive-definite cosmological sector with $N_{CS\partial}=0$.
Such elements then define a basis for a Hilbert space describing such
cosmologies. In contrast to the cases in which Cauchy-surfaces are allowed to
have boundaries, we argue that the resulting Hilbert space need not decohere
into single-state theories. As a result, familiar physics might be more easily
recovered from this new scenario.
|
[
{
"created": "Fri, 5 Jul 2024 16:33:59 GMT",
"version": "v1"
}
] |
2024-07-08
|
[
[
"Marolf",
"Donald",
""
]
] |
Spacetime wormholes in gravitational path integrals have long been interpreted in terms of ensembles of theories. Here we probe what sort of theories such ensembles might contain. Careful consideration of a simple $d=2$ topological model indicates that the Hilbert space structure of a general ensemble element fails to factorize over disconnected Cauchy-surface boundaries, and in particular that its Hilbert space ${\cal H}_{N_{CS\partial}}$ for $N_{CS\partial}$ Cauchy-surface boundaries fails to be positive definite when the number $N_{CS\partial}$ of disconnected such boundaries is large. This suggests a generalization of the AdS/CFT correspondence in which a bulk theory is dual to an ensemble of theories that deviate from standard CFTs by violating both locality and positivity (at least under certain circumstances). Since violations of positivity are undesirable, we propose that positivity-violating elements of the ensemble be removed when studying physics in asymptotically AdS spacetimes (or in other contexts in which Cauchy surfaces have asymptotic boundaries), perhaps reducing the ensemble to a single standard CFT. Nevertheless, properties of any remaining CFTs that are uncorrelated with positivity of ${\cal H}_{N_{CS\partial}}$ at large $N_{CS\partial}$will agree with those of typical elements of the full ensemble and may be computed using the ensemble average. On the other hand, elements that violate positivity at large $N_{CS\partial}$ can still have a positive-definite cosmological sector with $N_{CS\partial}=0$. Such elements then define a basis for a Hilbert space describing such cosmologies. In contrast to the cases in which Cauchy-surfaces are allowed to have boundaries, we argue that the resulting Hilbert space need not decohere into single-state theories. As a result, familiar physics might be more easily recovered from this new scenario.
|
2209.13984
|
Benjamin Assel
|
Benjamin Assel, Yuji Tachikawa and Alessandro Tomasiello
|
On ${\mathcal N}=4$ supersymmetry enhancements in three dimensions
|
28 pages + appendices. v2: An argument is provided showing that the
condition for enhanced supersymmetry can be met for graph manifolds with
generic holonomy
| null |
10.1007/JHEP03(2023)170
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a class of 3d theories consisting of strongly-coupled ${\mathcal
N}=4$ systems coupled to ${\mathcal N}=3$ Chern-Simons gauge multiplets, which
exhibit ${\mathcal N}=4$ enhancements when a peculiar condition on the
Chern-Simons levels is met. An example is the $SU(N)^3$ Chern-Simons theory
coupled to the 3d $T_N$ theory, which enhances to ${\mathcal N}=4$ when
$1/k_1+1/k_2+1/k_3=0$. We also show that some but not all of these ${\mathcal
N}=4$ enhancements can be understood by considering M5-branes on a special
class of Seifert manifolds. Our construction provides a large class of
${\mathcal N}=4$ theories which have not been studied previously.
|
[
{
"created": "Wed, 28 Sep 2022 10:27:53 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2022 20:04:28 GMT",
"version": "v2"
}
] |
2023-04-12
|
[
[
"Assel",
"Benjamin",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] |
We introduce a class of 3d theories consisting of strongly-coupled ${\mathcal N}=4$ systems coupled to ${\mathcal N}=3$ Chern-Simons gauge multiplets, which exhibit ${\mathcal N}=4$ enhancements when a peculiar condition on the Chern-Simons levels is met. An example is the $SU(N)^3$ Chern-Simons theory coupled to the 3d $T_N$ theory, which enhances to ${\mathcal N}=4$ when $1/k_1+1/k_2+1/k_3=0$. We also show that some but not all of these ${\mathcal N}=4$ enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of ${\mathcal N}=4$ theories which have not been studied previously.
|
1707.06803
|
Ashoke Sen
|
Subhroneel Chakrabarti, Sitender Pratap Kashyap, Biswajit Sahoo,
Ashoke Sen, Mritunjay Verma
|
Subleading Soft Theorem for Multiple Soft Gravitons
|
LaTeX, 47 pages, 13 figures; v2: expanded the section on infrared
issues, updated the section on comparison with known results
| null |
10.1007/JHEP12(2017)150
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the subleading soft graviton theorem in a generic quantum theory of
gravity for arbitrary number of soft external gravitons and arbitrary number of
finite energy external states carrying arbitrary mass and spin. Our results are
valid to all orders in perturbation theory when the number of non-compact
space-time dimensions is six or more, but only for tree amplitudes for five or
less non-compact space-time dimensions due to enhanced contribution to loop
amplitudes from the infrared region.
|
[
{
"created": "Fri, 21 Jul 2017 08:52:51 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2017 09:02:11 GMT",
"version": "v2"
}
] |
2018-01-17
|
[
[
"Chakrabarti",
"Subhroneel",
""
],
[
"Kashyap",
"Sitender Pratap",
""
],
[
"Sahoo",
"Biswajit",
""
],
[
"Sen",
"Ashoke",
""
],
[
"Verma",
"Mritunjay",
""
]
] |
We derive the subleading soft graviton theorem in a generic quantum theory of gravity for arbitrary number of soft external gravitons and arbitrary number of finite energy external states carrying arbitrary mass and spin. Our results are valid to all orders in perturbation theory when the number of non-compact space-time dimensions is six or more, but only for tree amplitudes for five or less non-compact space-time dimensions due to enhanced contribution to loop amplitudes from the infrared region.
|
1710.10665
|
SIbasish Banerjee
|
Sergei Alexandrov, Sibasish Banerjee, Pietro Longhi
|
Rigid limit for hypermultiplets and five-dimensional gauge theories
|
38+18+5 pages, 2 figures, fixed misprints in v2
| null |
10.1007/JHEP01(2018)156
|
L2C:17-128, CERN-TH-2017-224, UUITP-39/17
|
hep-th math.DG math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the rigid limit of a class of hypermultiplet moduli spaces appearing
in Calabi-Yau compactifications of type IIB string theory, which is induced by
a local limit of the Calabi-Yau. We show that the resulting hyperkahler
manifold is obtained by performing a hyperkahler quotient of the Swann bundle
over the moduli space, along the isometries arising in the limit. Physically,
this manifold appears as the target space of the non-linear sigma model
obtained by compactification of a five-dimensional gauge theory on a torus.
This allows to compute dyonic and stringy instantons of the gauge theory from
the known results on D-instantons in string theory. Besides, we formulate a
simple condition on the existence of a non-trivial local limit in terms of
intersection numbers of the Calabi-Yau, and find an explicit form for the
hypermultiplet metric including corrections from all mutually non-local
D-instantons, which can be of independent interest.
|
[
{
"created": "Sun, 29 Oct 2017 18:46:12 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 2017 13:10:11 GMT",
"version": "v2"
}
] |
2018-03-14
|
[
[
"Alexandrov",
"Sergei",
""
],
[
"Banerjee",
"Sibasish",
""
],
[
"Longhi",
"Pietro",
""
]
] |
We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkahler manifold is obtained by performing a hyperkahler quotient of the Swann bundle over the moduli space, along the isometries arising in the limit. Physically, this manifold appears as the target space of the non-linear sigma model obtained by compactification of a five-dimensional gauge theory on a torus. This allows to compute dyonic and stringy instantons of the gauge theory from the known results on D-instantons in string theory. Besides, we formulate a simple condition on the existence of a non-trivial local limit in terms of intersection numbers of the Calabi-Yau, and find an explicit form for the hypermultiplet metric including corrections from all mutually non-local D-instantons, which can be of independent interest.
|
2012.13506
|
Miok Park
|
Robert B. Mann, Leopoldo A. Pando Zayas, and Miok Park
|
Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
|
28 pages, 18 figures
| null |
10.1007/JHEP03(2021)039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the thermodynamics of Euclidean dyonic Taub-NUT/Bolt-AdS4 black
holes for a variety of horizon geometries to understand how gauge field
regularity conditions influence the thermodynamic relations. We find several
distinct features that distinguish the NUT-charged case from its dyonic
Reissner-Nordstrom counterpart. For the NUT solution, the gauge field vanishes
at the horizon and so regularity is ensured. For the Bolt solution we find that
the norm of the gauge field is required to vanish at the horizon in order to
satisfy both regularity and the first law of thermodynamics. This regularity
condition yields a constraint on the electric and magnetic charges and so
reduces cohomogeneity of the system; for spherical horizons, the regularity
condition removing the Misner string singularity further reduces cohomogeneity,
We observe that bolt solutions with increasing electric charge have positive
heat capacity, but upon turning on the magnetic charge to make the solution
dyonic, we find that the properties of the uncharged one are retained, having
both positive and negative heat capacity. We also study the extremal Bolt
solution, finding that Misner string disappears at the horizon in the zero
temperature limit. We find that the extremal solution has
finite-temperature-like behaviour, with the electric potential playing a role
similar to temperature.
|
[
{
"created": "Fri, 25 Dec 2020 03:59:46 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Mann",
"Robert B.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Park",
"Miok",
""
]
] |
We examine the thermodynamics of Euclidean dyonic Taub-NUT/Bolt-AdS4 black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dyonic Reissner-Nordstrom counterpart. For the NUT solution, the gauge field vanishes at the horizon and so regularity is ensured. For the Bolt solution we find that the norm of the gauge field is required to vanish at the horizon in order to satisfy both regularity and the first law of thermodynamics. This regularity condition yields a constraint on the electric and magnetic charges and so reduces cohomogeneity of the system; for spherical horizons, the regularity condition removing the Misner string singularity further reduces cohomogeneity, We observe that bolt solutions with increasing electric charge have positive heat capacity, but upon turning on the magnetic charge to make the solution dyonic, we find that the properties of the uncharged one are retained, having both positive and negative heat capacity. We also study the extremal Bolt solution, finding that Misner string disappears at the horizon in the zero temperature limit. We find that the extremal solution has finite-temperature-like behaviour, with the electric potential playing a role similar to temperature.
|
2407.04339
|
Mehdi Sadeghi
|
Mehdi Sadeghi, Faramarz Rahmani
|
Exponential Modification of AdS Black Hole and Thermodynamic Behavior
|
18 Pages, 9 figures, title changed, ref added
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we present an exponential modification for the action of an
AdS black hole in the absence of a matter field. An approximated black hole
solution is obtained up to the third order of perturbation coefficient. A
thermodynamic investigation in canonical ensemble shows that the behavior of a
Van der Waals fluid is not seen in this model. Nevertheless, the study of
thermodynamic potentials and other related quantities suggests that the
thermodynamic phase transitions of the first and second types can occur in this
model. The forms of the phase transitions are more similar to the Hawking-Page
phase transitions.
|
[
{
"created": "Fri, 5 Jul 2024 08:26:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2024 13:14:21 GMT",
"version": "v2"
}
] |
2024-07-12
|
[
[
"Sadeghi",
"Mehdi",
""
],
[
"Rahmani",
"Faramarz",
""
]
] |
In this paper, we present an exponential modification for the action of an AdS black hole in the absence of a matter field. An approximated black hole solution is obtained up to the third order of perturbation coefficient. A thermodynamic investigation in canonical ensemble shows that the behavior of a Van der Waals fluid is not seen in this model. Nevertheless, the study of thermodynamic potentials and other related quantities suggests that the thermodynamic phase transitions of the first and second types can occur in this model. The forms of the phase transitions are more similar to the Hawking-Page phase transitions.
|
hep-th/9809047
|
Adriano Di Giacomo
|
A. Di Giacomo
|
Evidence for dual superconductivity of QCD ground state
|
9 pages,4 figures.Presented at the Fourth Workshop on QCD, The
American University of Paris,1-6June 1998.To appear in the Proceedings
| null | null |
IFUP-TH 44/98
|
hep-th
| null |
A discussion is made of the strategy to check dual superconductivity of the
vacuum as a mechanism of colour confinement. Recent evidence from Lattice is
reviewed.
|
[
{
"created": "Tue, 8 Sep 1998 07:41:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Di Giacomo",
"A.",
""
]
] |
A discussion is made of the strategy to check dual superconductivity of the vacuum as a mechanism of colour confinement. Recent evidence from Lattice is reviewed.
|
0706.3992
|
Gandalf Lechner
|
Harald Grosse, Gandalf Lechner
|
Wedge-Local Quantum Fields and Noncommutative Minkowski Space
|
Version to appear in JHEP, 27 pages
|
JHEP 0711:012,2007
|
10.1088/1126-6708/2007/11/012
| null |
hep-th math-ph math.MP
| null |
Within the setting of a recently proposed model of quantum fields on
noncommutative Minkowski spacetime, the consequences of the consistent
application of the proper, untwisted Poincare group as the symmetry group are
investigated. The emergent model contains an infinite family of fields which
are labelled by different noncommutativity parameters, and related to each
other by Lorentz transformations. The relative localization properties of these
fields are investigated, and it is shown that to each field one can assign a
wedge-shaped localization region of Minkowski space. This assignment is
consistent with the principles of covariance and locality, i.e. fields
localized in spacelike separated wedges commute.
Regarding the model as a non-local, but wedge-local, quantum field theory on
ordinary (commutative) Minkowski spacetime, it is possible to determine
two-particle S-matrix elements, which turn out to be non-trivial. Some partial
negative results concerning the existence of observables with sharper
localization properties are also obtained.
|
[
{
"created": "Wed, 27 Jun 2007 10:17:59 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2007 16:24:02 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Grosse",
"Harald",
""
],
[
"Lechner",
"Gandalf",
""
]
] |
Within the setting of a recently proposed model of quantum fields on noncommutative Minkowski spacetime, the consequences of the consistent application of the proper, untwisted Poincare group as the symmetry group are investigated. The emergent model contains an infinite family of fields which are labelled by different noncommutativity parameters, and related to each other by Lorentz transformations. The relative localization properties of these fields are investigated, and it is shown that to each field one can assign a wedge-shaped localization region of Minkowski space. This assignment is consistent with the principles of covariance and locality, i.e. fields localized in spacelike separated wedges commute. Regarding the model as a non-local, but wedge-local, quantum field theory on ordinary (commutative) Minkowski spacetime, it is possible to determine two-particle S-matrix elements, which turn out to be non-trivial. Some partial negative results concerning the existence of observables with sharper localization properties are also obtained.
|
hep-th/9905011
|
Ryu Sasaki
|
A.J. Bordner, E. Corrigan and R. Sasaki
|
Generalised Calogero-Moser models and universal Lax pair operators
|
37 pages, LaTeX2e, no macro, no figure
|
Prog.Theor.Phys. 102 (1999) 499-529
|
10.1143/PTP.102.499
|
YITP-99-19, DTP/99/31
|
hep-th cond-mat math-ph math.MP nlin.SI solv-int
| null |
Calogero-Moser models can be generalised for all of the finite reflection
groups. These include models based on non-crystallographic root systems, that
is the root systems of the finite reflection groups, H_3, H_4, and the dihedral
group I_2(m), besides the well-known ones based on crystallographic root
systems, namely those associated with Lie algebras. Universal Lax pair
operators for all of the generalised Calogero-Moser models and for any choices
of the potentials are constructed as linear combinations of the reflection
operators. The consistency conditions are reduced to functional equations for
the coefficient functions of the reflection operators in the Lax pair. There
are only four types of such functional equations corresponding to the
two-dimensional sub-root systems, A_2, B_2, G_2, and I_2(m). The root type and
the minimal type Lax pairs, derived in our previous papers, are given as the
simplest representations. The spectral parameter dependence plays an important
role in the Lax pair operators, which bear a strong resemblance to the Dunkl
operators, a powerful tool for solving quantum Calogero-Moser models.
|
[
{
"created": "Mon, 3 May 1999 12:30:01 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bordner",
"A. J.",
""
],
[
"Corrigan",
"E.",
""
],
[
"Sasaki",
"R.",
""
]
] |
Calogero-Moser models can be generalised for all of the finite reflection groups. These include models based on non-crystallographic root systems, that is the root systems of the finite reflection groups, H_3, H_4, and the dihedral group I_2(m), besides the well-known ones based on crystallographic root systems, namely those associated with Lie algebras. Universal Lax pair operators for all of the generalised Calogero-Moser models and for any choices of the potentials are constructed as linear combinations of the reflection operators. The consistency conditions are reduced to functional equations for the coefficient functions of the reflection operators in the Lax pair. There are only four types of such functional equations corresponding to the two-dimensional sub-root systems, A_2, B_2, G_2, and I_2(m). The root type and the minimal type Lax pairs, derived in our previous papers, are given as the simplest representations. The spectral parameter dependence plays an important role in the Lax pair operators, which bear a strong resemblance to the Dunkl operators, a powerful tool for solving quantum Calogero-Moser models.
|
hep-th/0208222
|
Konishi
|
K. Konishi (U. of Pisa)
|
Non-Abelian Monopoles, Vortices and Confinement
|
Latex 19 pages, 3 figures, Talk at Continuous Advance in QCD (Arkady
Fest), Minneapolis, May 2002
| null |
10.1142/9789812776310_0024
|
IFUP-TH/2002-35
|
hep-th
| null |
Three closely related issues will be discussed. Magnetic quarks having
non-Abelian charges have been found recently to appear as the dominant infrared
degrees of freedom in some vacua of softly broken N=2 supersymmetric QCD with
SU(n_c) gauge group. Their condensation upon N=1 perturbation causes
confinement and dynamical symmetry breaking. We argue that these magnetic
quarks can be naturally related to the semiclassical non-Abelian monopoles of
the type first discussed by Goddard, Nuyts, Olive and E. Weinberg. We discuss
also general properties of non-Abelian vortices and discuss their relevance to
the confinement in QCD. Finally, calculation by Douglas and Shenker of the
tension ratios for vortices of different N-alities in the softly broken N=2
supersymmetric SU(N) Yang-Mills theory, is carried to the second order in the
adjoint multiplet mass. A correction to the ratios violating the sine formula
is found, showing that the latter is not a universal quantity.
|
[
{
"created": "Fri, 30 Aug 2002 09:26:16 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Konishi",
"K.",
"",
"U. of Pisa"
]
] |
Three closely related issues will be discussed. Magnetic quarks having non-Abelian charges have been found recently to appear as the dominant infrared degrees of freedom in some vacua of softly broken N=2 supersymmetric QCD with SU(n_c) gauge group. Their condensation upon N=1 perturbation causes confinement and dynamical symmetry breaking. We argue that these magnetic quarks can be naturally related to the semiclassical non-Abelian monopoles of the type first discussed by Goddard, Nuyts, Olive and E. Weinberg. We discuss also general properties of non-Abelian vortices and discuss their relevance to the confinement in QCD. Finally, calculation by Douglas and Shenker of the tension ratios for vortices of different N-alities in the softly broken N=2 supersymmetric SU(N) Yang-Mills theory, is carried to the second order in the adjoint multiplet mass. A correction to the ratios violating the sine formula is found, showing that the latter is not a universal quantity.
|
1109.0407
|
Anindya Dey
|
Anindya Dey
|
On Three-Dimensional Mirror Symmetry
|
50 pages, 12 figures; comments on the number of FI parameters added
| null |
10.1007/JHEP04(2012)051
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Mirror Symmetry for a large class of three dimensional $\mathcal{N}=4$
supersymmetric gauge theories has a natural explanation in terms of M-theory
compactified on a product of $\text{ALE}$ spaces. A pair of such mirror duals
can be described as two different deformations of the eleven-dimensional
supergravity background $\mathcal{M}=\mathbb{R}^{2,1} \times \text{ALE}_{1}
\times \text{ALE}_{2}$, to which they flow in the deep IR. Using the $A-D-E$
classification of $\text{ALE}$ spaces, we present a neat way to catalogue dual
quiver gauge theories that arise in this fashion. In addition to the well-known
examples studied in \cite{Intriligator:1996ex}, \cite{deBoer:1996mp}, this
procedure leads to new sets of dual theories. For a certain subset of dual
theories which arise from the aforementioned M-theory background with an
$A$-type $\text{ALE}_{1}$ and a $D$-type $\text{ALE}_2$, we verify the duality
explicitly by a computation of partition functions of the theories on $S^3$,
using localization techniques . We derive the relevant mirror map and discuss
its agreement with predictions from the Type IIB brane construction for these
theories.
|
[
{
"created": "Fri, 2 Sep 2011 10:53:22 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2012 06:57:56 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Dey",
"Anindya",
""
]
] |
Mirror Symmetry for a large class of three dimensional $\mathcal{N}=4$ supersymmetric gauge theories has a natural explanation in terms of M-theory compactified on a product of $\text{ALE}$ spaces. A pair of such mirror duals can be described as two different deformations of the eleven-dimensional supergravity background $\mathcal{M}=\mathbb{R}^{2,1} \times \text{ALE}_{1} \times \text{ALE}_{2}$, to which they flow in the deep IR. Using the $A-D-E$ classification of $\text{ALE}$ spaces, we present a neat way to catalogue dual quiver gauge theories that arise in this fashion. In addition to the well-known examples studied in \cite{Intriligator:1996ex}, \cite{deBoer:1996mp}, this procedure leads to new sets of dual theories. For a certain subset of dual theories which arise from the aforementioned M-theory background with an $A$-type $\text{ALE}_{1}$ and a $D$-type $\text{ALE}_2$, we verify the duality explicitly by a computation of partition functions of the theories on $S^3$, using localization techniques . We derive the relevant mirror map and discuss its agreement with predictions from the Type IIB brane construction for these theories.
|
hep-th/0412160
|
Bhabani Prasad Mandal Dr.
|
Bhabani Prasad Mandal (Banaras Hindu University)
|
Pseudo-hermitian interaction between an oscillator and a spin half
particle in the external magnetic field
|
Latex, no figs, 8 pages. (To appear in Mod. Phys. Lett. A)
|
Mod.Phys.Lett. A20 (2005) 655-662
|
10.1142/S0217732305016488
| null |
hep-th quant-ph
| null |
We consider a spin half particle in the external magnetic field which couples
to a harmonic oscillator through some pseudo-hermitian interaction. We find
that the energy eigenvalues for this system are real even though the
interaction is not PT invariant.
|
[
{
"created": "Wed, 15 Dec 2004 08:53:52 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Mandal",
"Bhabani Prasad",
"",
"Banaras Hindu University"
]
] |
We consider a spin half particle in the external magnetic field which couples to a harmonic oscillator through some pseudo-hermitian interaction. We find that the energy eigenvalues for this system are real even though the interaction is not PT invariant.
|
2112.10532
|
Pieter Bomans
|
Nikolay Bobev and Pieter Bomans
|
Spin Structures and AdS$_4$ Holography
|
$2^5$ pages, $2^4$ tables, $2^1$ spin structures
| null |
10.1007/JHEP02(2022)052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the importance of spin structures as defining data for 11d
supergravity backgrounds of the form AdS$_4\times S^7/\mathbf{Z}_k$ with a free
orbifold action. For a generic choice of the orbifold action, there is only one
spin structure that preserves invariant Killing spinors. There are, however,
orbifold actions that allow for more than one spin structure with preserved
Killing spinors. In these cases the two different spin structures should lead
to distinct holographically dual 3d SCFTs with different amounts of
supersymmetry. We illustrate this phenomenon by studying the KK spectrum of 11d
supergravity on AdS$_4\times S^7/\mathbf{Z}_4$. For one choice of spin
structure this background is dual to the 3d $\mathcal{N}=6$ ABJM theory at
level $k=4$. For the alternative choice of spin structure our results suggest
that the holographic dual is a different 3d $\mathcal{N}=2$ SCFT and we discuss
some of its properties.
|
[
{
"created": "Mon, 20 Dec 2021 13:51:38 GMT",
"version": "v1"
}
] |
2022-03-02
|
[
[
"Bobev",
"Nikolay",
""
],
[
"Bomans",
"Pieter",
""
]
] |
We study the importance of spin structures as defining data for 11d supergravity backgrounds of the form AdS$_4\times S^7/\mathbf{Z}_k$ with a free orbifold action. For a generic choice of the orbifold action, there is only one spin structure that preserves invariant Killing spinors. There are, however, orbifold actions that allow for more than one spin structure with preserved Killing spinors. In these cases the two different spin structures should lead to distinct holographically dual 3d SCFTs with different amounts of supersymmetry. We illustrate this phenomenon by studying the KK spectrum of 11d supergravity on AdS$_4\times S^7/\mathbf{Z}_4$. For one choice of spin structure this background is dual to the 3d $\mathcal{N}=6$ ABJM theory at level $k=4$. For the alternative choice of spin structure our results suggest that the holographic dual is a different 3d $\mathcal{N}=2$ SCFT and we discuss some of its properties.
|
0912.3519
|
Nicholas Halmagyi
|
Iosif Bena, Mariana Grana and Nick Halmagyi
|
On the Existence of Meta-stable Vacua in Klebanov-Strassler
|
35 pages, LaTeX. v2: further details provided regarding the IR
singularity and the discussion modified accordingly. typos corrected, refs
added
|
JHEP 1009:087,2010
|
10.1007/JHEP09(2010)087
|
IPhT-T09/237
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve for the complete space of linearized deformations of the
Klebanov-Strassler background consistent with the symmetries preserved by a
stack of anti-D3 branes smeared on the $S^3$ of the deformed conifold. We find
that the only solution whose UV physics is consistent with that of a
perturbation produced by anti-D3 branes must have a singularity in the
infrared, coming from NS and RR three-form field strengths whose energy density
diverges. If this singularity is admissible, our solution describes the
backreaction of the anti-D3 branes, and is thus likely to be dual to the
conjectured metastable vacuum in the Klebanov-Strassler field theory. If this
singularity is not admissible, then our analysis strongly suggests that anti-D3
branes do not give rise to metastable Klebanov-Strassler vacua, which would
have dramatic consequences for some string theory constructions of de Sitter
space. Key to this result is a simple, universal form for the force on a probe
D3-brane in our ansatz.
|
[
{
"created": "Thu, 17 Dec 2009 20:54:32 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2010 14:52:50 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Bena",
"Iosif",
""
],
[
"Grana",
"Mariana",
""
],
[
"Halmagyi",
"Nick",
""
]
] |
We solve for the complete space of linearized deformations of the Klebanov-Strassler background consistent with the symmetries preserved by a stack of anti-D3 branes smeared on the $S^3$ of the deformed conifold. We find that the only solution whose UV physics is consistent with that of a perturbation produced by anti-D3 branes must have a singularity in the infrared, coming from NS and RR three-form field strengths whose energy density diverges. If this singularity is admissible, our solution describes the backreaction of the anti-D3 branes, and is thus likely to be dual to the conjectured metastable vacuum in the Klebanov-Strassler field theory. If this singularity is not admissible, then our analysis strongly suggests that anti-D3 branes do not give rise to metastable Klebanov-Strassler vacua, which would have dramatic consequences for some string theory constructions of de Sitter space. Key to this result is a simple, universal form for the force on a probe D3-brane in our ansatz.
|
hep-th/0001149
|
I. Bandos
|
Igor Bandos and Wolfgang Kummer
|
On Action Functionals for Interacting Brane Systems
|
12 pages, LATEX, Contribution to the Proceedings of the the XIV Max
Born Simposium, Karpach, Poland, Preprint TUW-00-03
| null |
10.1142/9789812793263_0009
| null |
hep-th
| null |
We present an action functional and derive equations of motion for a coupled
system of a bosonic Dp--brane and an open string ending on the Dp-brane. With
this example we address the key issues of the recently proposed method
(hep-th/9905144, hep-th/9906041) for the construction of manifestly
supersymmetric action functionals for interacting superbrane systems. We
clarify, in particular, how the arbitrariness in sources localized on the
intersection is related to the standard description of the flat D-branes as
rigid planes where the string for endpoints 'live'.
|
[
{
"created": "Sat, 22 Jan 2000 10:50:36 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Bandos",
"Igor",
""
],
[
"Kummer",
"Wolfgang",
""
]
] |
We present an action functional and derive equations of motion for a coupled system of a bosonic Dp--brane and an open string ending on the Dp-brane. With this example we address the key issues of the recently proposed method (hep-th/9905144, hep-th/9906041) for the construction of manifestly supersymmetric action functionals for interacting superbrane systems. We clarify, in particular, how the arbitrariness in sources localized on the intersection is related to the standard description of the flat D-branes as rigid planes where the string for endpoints 'live'.
|
2101.04241
|
Steven Weinberg
|
Steven Weinberg
|
On the Development of Effective Field Theory
|
12 pages
| null |
10.1140/epjh/s13129-021-00004-x
|
UTTG-25-2020
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
This is a lightly edited version of the talk given on September 30, 2020 to
inaugurate the international seminar series {\it All Things EFT}. It reviews
some of the early history of effective field theories, and concludes with a
discussion of the implications of effective field theory for future discovery.
|
[
{
"created": "Tue, 12 Jan 2021 00:12:28 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Weinberg",
"Steven",
""
]
] |
This is a lightly edited version of the talk given on September 30, 2020 to inaugurate the international seminar series {\it All Things EFT}. It reviews some of the early history of effective field theories, and concludes with a discussion of the implications of effective field theory for future discovery.
|
hep-th/0204127
|
Philip C. Argyres
|
Philip C. Argyres, R. Maimon, and Sophie Pelland
|
The M theory lift of two O6 planes and four D6 branes
|
45 pages, 3 figures. Reference added
|
JHEP 0205 (2002) 008
|
10.1088/1126-6708/2002/05/008
|
UCTP-102-02, CLNS-02/1783
|
hep-th
| null |
We solve for the effective actions on the Coulomb branches of a class of N=2
supersymmetric theories by finding the complex structure of an M5 brane in an
appropriate background hyperkahler geometry corresponding to the lift of two
O6^- orientifolds and four D6 branes to M theory. The resulting Seiberg-Witten
curves are of finite genus, unlike other solutions proposed in the literature.
The simplest theories in this class are the scale invariant Sp(k) theory with
one antisymmetric and four fundamental hypermultiplets and the SU(k) theory
with two antisymmetric and four fundamental hypermultiplets. Infinite classes
of related theories are obtained by adding extra SU(k) factors with
bifundamental matter and by turning on masses to flow down to various
asymptotically free theories. The N=4 supersymmetric SU(k) theory can be
embedded in these asymptotically free theories, allowing a derivation of a
subgroup of its S duality group as an exact equivalence of quantum field
theories.
|
[
{
"created": "Tue, 16 Apr 2002 16:59:40 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2002 18:58:59 GMT",
"version": "v2"
},
{
"created": "Fri, 3 May 2002 12:45:10 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Maimon",
"R.",
""
],
[
"Pelland",
"Sophie",
""
]
] |
We solve for the effective actions on the Coulomb branches of a class of N=2 supersymmetric theories by finding the complex structure of an M5 brane in an appropriate background hyperkahler geometry corresponding to the lift of two O6^- orientifolds and four D6 branes to M theory. The resulting Seiberg-Witten curves are of finite genus, unlike other solutions proposed in the literature. The simplest theories in this class are the scale invariant Sp(k) theory with one antisymmetric and four fundamental hypermultiplets and the SU(k) theory with two antisymmetric and four fundamental hypermultiplets. Infinite classes of related theories are obtained by adding extra SU(k) factors with bifundamental matter and by turning on masses to flow down to various asymptotically free theories. The N=4 supersymmetric SU(k) theory can be embedded in these asymptotically free theories, allowing a derivation of a subgroup of its S duality group as an exact equivalence of quantum field theories.
|
1307.5933
|
Norihiro Iizuka
|
Norihiro Iizuka, Seiji Terashima
|
Brick Walls for Black Holes in AdS/CFT
|
19 pages. v2: minor corrections
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the 't Hooft's brick wall model for black holes in a holographic
context. The brick wall model suggests that without an appropriate near horizon
IR cut-off, the free energy of the probe fields show the divergence due to the
large degenerate states near the horizons. After studying the universal nature
of the divergence in various holographic setting in various dimensions, we
interpret the nature of the divergence in a holographic context. The free
energy divergence is due to the large degeneracy and continuity of the low
energy spectrum in the boundary theory at the deconfinement phase. These
divergence and continuity should be removed by finite N effects, which make the
spectrum discrete even at the deconfinement phase. On the other hand, in the
bulk, these degenerate states are localized near the horizon, and the universal
divergence of these degenerate states implies that the naive counting of the
degrees of freedom in bulk should be modified once we take into account the
non-perturbative quantum gravity effects near the horizon. Depending on the
microscopic degrees of freedom, the position, where the effective field theory
description to count the states breaks down, has different Planck scale
dependence. It also implies the difficulty to have an electron like
gauge-singlet elementary field in the boundary theory Lagrangian. These singlet
fields are at most composite fields, because they show divergent free energy,
suggesting a positive power of N at the deconfinement phase.
|
[
{
"created": "Tue, 23 Jul 2013 03:14:17 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jan 2015 01:00:44 GMT",
"version": "v2"
}
] |
2015-01-05
|
[
[
"Iizuka",
"Norihiro",
""
],
[
"Terashima",
"Seiji",
""
]
] |
We study the 't Hooft's brick wall model for black holes in a holographic context. The brick wall model suggests that without an appropriate near horizon IR cut-off, the free energy of the probe fields show the divergence due to the large degenerate states near the horizons. After studying the universal nature of the divergence in various holographic setting in various dimensions, we interpret the nature of the divergence in a holographic context. The free energy divergence is due to the large degeneracy and continuity of the low energy spectrum in the boundary theory at the deconfinement phase. These divergence and continuity should be removed by finite N effects, which make the spectrum discrete even at the deconfinement phase. On the other hand, in the bulk, these degenerate states are localized near the horizon, and the universal divergence of these degenerate states implies that the naive counting of the degrees of freedom in bulk should be modified once we take into account the non-perturbative quantum gravity effects near the horizon. Depending on the microscopic degrees of freedom, the position, where the effective field theory description to count the states breaks down, has different Planck scale dependence. It also implies the difficulty to have an electron like gauge-singlet elementary field in the boundary theory Lagrangian. These singlet fields are at most composite fields, because they show divergent free energy, suggesting a positive power of N at the deconfinement phase.
|
1202.4295
|
Gabi Zafrir
|
Gabi Zafrir
|
Embedding massive flavor in ABJM
|
26 pages, 6 figures; version published in JHEP
|
JHEP 10 (2012) 056
|
10.1007/JHEP10(2012)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We add massive fundamental matter to the ABJM model by adding D6-branes
wrapped asymptotically over RP3. We find two types of solutions at finite
temperature, one that enters the black hole and one that ends before the black
hole. We analyze the behavior of the free energy as a function of temperature,
and find that the system exhibits a phase transition between the two types of
solutions, similar to what happens in the D3-D7 system. We also analyze the
meson spectrum in the model and find several massive scalar modes, again, quite
like the D3-D7 system. We end with a calculation of the conductivities in the
two phases.
|
[
{
"created": "Mon, 20 Feb 2012 12:00:56 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Oct 2012 15:52:17 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Zafrir",
"Gabi",
""
]
] |
We add massive fundamental matter to the ABJM model by adding D6-branes wrapped asymptotically over RP3. We find two types of solutions at finite temperature, one that enters the black hole and one that ends before the black hole. We analyze the behavior of the free energy as a function of temperature, and find that the system exhibits a phase transition between the two types of solutions, similar to what happens in the D3-D7 system. We also analyze the meson spectrum in the model and find several massive scalar modes, again, quite like the D3-D7 system. We end with a calculation of the conductivities in the two phases.
|
2312.03135
|
Elia Mazzucchelli
|
Matthias R. Gaberdiel and Elia Mazzucchelli
|
The $\mathfrak{u}(2|2)_1$ WZW model
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
WZW models based on super Lie algebras play an important role for the
description of string theory on AdS spaces. In particular, for the case of
${\rm AdS}_3 \times {\rm S}^3$ with pure NS-NS flux the super Lie algebra of
$\mathfrak{psu}(1,1|2)_k$ appears in the hybrid formalism, and higher
dimensional AdS spaces can be described in terms of related supergroup cosets.
In this paper we study the WZW models based on $\mathfrak{u}(2|2)_1$ and
$\mathfrak{psu}(2|2)_1$ that may play a role for the worldsheet theory that is
dual to free super Yang-Mills in 4D.
|
[
{
"created": "Tue, 5 Dec 2023 21:03:20 GMT",
"version": "v1"
}
] |
2023-12-07
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Mazzucchelli",
"Elia",
""
]
] |
WZW models based on super Lie algebras play an important role for the description of string theory on AdS spaces. In particular, for the case of ${\rm AdS}_3 \times {\rm S}^3$ with pure NS-NS flux the super Lie algebra of $\mathfrak{psu}(1,1|2)_k$ appears in the hybrid formalism, and higher dimensional AdS spaces can be described in terms of related supergroup cosets. In this paper we study the WZW models based on $\mathfrak{u}(2|2)_1$ and $\mathfrak{psu}(2|2)_1$ that may play a role for the worldsheet theory that is dual to free super Yang-Mills in 4D.
|
2401.09672
|
Ken-Ji Hamada
|
Ken-ji Hamada
|
Quantum Gravity Effective Action Provides Entropy of The Universe
|
23 pages, 2 figures, Add a number of descriptions, footnotes,
appendices,and references. Matches the published version on Particles (open
access, open review)
|
Particles 7 (2024) 465
|
10.3390/particles7020026
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The effective action in renormalizable quantum theory of gravity provides
entropy because the total Hamiltonian vanishes. Since it is a renormalization
group invariant that is constant in the process of cosmic evolution, we can
show conservation of entropy, which is an ansatz in the standard cosmology.
Here, we study renormalizable quantum gravity that exhibits conformal dominance
at high energy beyond the Planck scale. The current entropy of the universe is
derived by calculating the effective action under the scenario of quantum
gravity inflation caused by its dynamics. We then argue that ghost modes must
be unphysical but are necessary for the Hamiltonian to vanish and for entropy
to exist in gravitational systems.
|
[
{
"created": "Thu, 18 Jan 2024 01:14:30 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 01:48:41 GMT",
"version": "v2"
},
{
"created": "Tue, 14 May 2024 06:50:25 GMT",
"version": "v3"
}
] |
2024-05-15
|
[
[
"Hamada",
"Ken-ji",
""
]
] |
The effective action in renormalizable quantum theory of gravity provides entropy because the total Hamiltonian vanishes. Since it is a renormalization group invariant that is constant in the process of cosmic evolution, we can show conservation of entropy, which is an ansatz in the standard cosmology. Here, we study renormalizable quantum gravity that exhibits conformal dominance at high energy beyond the Planck scale. The current entropy of the universe is derived by calculating the effective action under the scenario of quantum gravity inflation caused by its dynamics. We then argue that ghost modes must be unphysical but are necessary for the Hamiltonian to vanish and for entropy to exist in gravitational systems.
|
1309.6004
|
Yuta Tamaki
|
Nobuyuki Sawado and Yuta Tamaki
|
Exact, molecular-shaped vortices with fractional and integer charges in
the extended Skyrme-Faddeev model
|
14 pages,25 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analytically construct vortex solutions in the integrable sector of the
extended Skyrme-Faddeev model. The solutions are holomorphic type which satisfy
the zero curvature condition. For the model parameter $\beta e^2=1$ there is a
lump solution, and for $\beta e^2 \neq 1$ new potentials are introduced for the
several molecular-shaped solutions with half-integer or integer charges. They
necessarily have infinite number of conserved currents and some of the examples
are shown. By performing an annealing simulation with our potentials, we verify
the existence of the solutions of the integrable sector.
|
[
{
"created": "Mon, 23 Sep 2013 23:17:25 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 2014 09:10:30 GMT",
"version": "v2"
}
] |
2014-12-22
|
[
[
"Sawado",
"Nobuyuki",
""
],
[
"Tamaki",
"Yuta",
""
]
] |
We analytically construct vortex solutions in the integrable sector of the extended Skyrme-Faddeev model. The solutions are holomorphic type which satisfy the zero curvature condition. For the model parameter $\beta e^2=1$ there is a lump solution, and for $\beta e^2 \neq 1$ new potentials are introduced for the several molecular-shaped solutions with half-integer or integer charges. They necessarily have infinite number of conserved currents and some of the examples are shown. By performing an annealing simulation with our potentials, we verify the existence of the solutions of the integrable sector.
|
0807.4122
|
Vincent Rivasseau
|
R. Gurau, J. Magnen and V. Rivasseau
|
Tree Quantum Field Theory
|
20 pages, 6 figures
|
Journal of Noncommutative Geometry, Volume 3, Issue 1, 2009 page
99
|
10.1007/s00023-009-0002-2
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new formalism for quantum field theory which is neither based on
functional integrals, nor on Feynman graphs, but on marked trees. This
formalism is constructive, i.e. it computes correlation functions through
convergent rather than divergent expansions. It applies both to Fermionic and
Bosonic theories. It is compatible with the renormalization group, and it
allows to define non-perturbatively {\it differential} renormalization group
equations. It accommodates any general stable polynomial Lagrangian. It can
equally well treat noncommutative models or matrix models such as the
Grosse-Wulkenhaar model. Perhaps most importantly it removes the space-time
background from its central place in QFT, paving the way for a nonperturbative
definition of field theory in noninteger dimension.
|
[
{
"created": "Fri, 25 Jul 2008 15:41:38 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Gurau",
"R.",
""
],
[
"Magnen",
"J.",
""
],
[
"Rivasseau",
"V.",
""
]
] |
We propose a new formalism for quantum field theory which is neither based on functional integrals, nor on Feynman graphs, but on marked trees. This formalism is constructive, i.e. it computes correlation functions through convergent rather than divergent expansions. It applies both to Fermionic and Bosonic theories. It is compatible with the renormalization group, and it allows to define non-perturbatively {\it differential} renormalization group equations. It accommodates any general stable polynomial Lagrangian. It can equally well treat noncommutative models or matrix models such as the Grosse-Wulkenhaar model. Perhaps most importantly it removes the space-time background from its central place in QFT, paving the way for a nonperturbative definition of field theory in noninteger dimension.
|
0712.2165
|
Giuliano Niccoli G.
|
G. Delfino and G. Niccoli
|
Isomorphism of critical and off-critical operator spaces in
two-dimensional quantum field theory
|
16 pages, typo corrected in (2.17)
|
Nucl.Phys.B799:364-378,2008
|
10.1016/j.nuclphysb.2008.01.019
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the simplest quantum field theory originating from a non-trivial fixed
point of the renormalization group, the Lee-Yang model, we show that the
operator space determined by the particle dynamics in the massive phase and
that prescribed by conformal symmetry at criticality coincide.
|
[
{
"created": "Thu, 13 Dec 2007 15:07:31 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Oct 2008 10:59:22 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Delfino",
"G.",
""
],
[
"Niccoli",
"G.",
""
]
] |
For the simplest quantum field theory originating from a non-trivial fixed point of the renormalization group, the Lee-Yang model, we show that the operator space determined by the particle dynamics in the massive phase and that prescribed by conformal symmetry at criticality coincide.
|
hep-th/0110032
|
Wolfgang Kummer
|
W. Kummer, M. Ertl and T. Strobl
|
All minimal supergravity extensions of 2d dilaton theories
|
Talk by W. Kummer at Int. Europhysics Conference for High Energy
Physics, Budapest, 12-18 July 2001
| null | null |
TUW-01-24
|
hep-th
| null |
The formulation of 2d-dilaton theories, like spherically reduced Einstein
gravity, is greatly facilitated in a formulation as a first order theory with
nonvanishing bosonic torsion. This is especially also true at the quantum
level. The interpretation of superextensions as graded Poisson sigma models is
found to cover generically all possible 2d supergravities. Superfields and thus
superfluous auxiliary fields are avoided altogether. The procedure shows that
generalizations of bosonic 2d models are highly ambiguous.
|
[
{
"created": "Wed, 3 Oct 2001 14:05:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kummer",
"W.",
""
],
[
"Ertl",
"M.",
""
],
[
"Strobl",
"T.",
""
]
] |
The formulation of 2d-dilaton theories, like spherically reduced Einstein gravity, is greatly facilitated in a formulation as a first order theory with nonvanishing bosonic torsion. This is especially also true at the quantum level. The interpretation of superextensions as graded Poisson sigma models is found to cover generically all possible 2d supergravities. Superfields and thus superfluous auxiliary fields are avoided altogether. The procedure shows that generalizations of bosonic 2d models are highly ambiguous.
|
0707.3832
|
Daniel Green
|
Daniel Green
|
Reheating Closed String Inflation
|
17 pages, v2: fixed typos and added refs, v3: fixed typos, added refs
and title change
|
Phys.Rev.D76:103504,2007
|
10.1103/PhysRevD.76.103504
|
SU-ITP-07/10, SLAC-PUB-12693
|
hep-th astro-ph hep-ph
| null |
Protecting the inflationary potential from quantum corrections typically
requires symmetries that constrain the form of couplings of the inflaton to
other sectors. We will explore how these restrictions affect reheating in
models with UV completions. In particular, we look at how reheating occurs when
inflation is governed by closed strings, using N-flation as an example. We find
that coupling the inflaton preferentially to the Standard Model is difficult,
and hidden sectors are typically reheated. Observational constraints are only
met by a fraction of the models. In some working models, relativistic relics in
the hidden sector provide dark matter candidates with masses that range from
keV to PeV, with lighter masses being preferred.
|
[
{
"created": "Thu, 26 Jul 2007 18:59:28 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2007 20:39:39 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Oct 2007 18:10:01 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Green",
"Daniel",
""
]
] |
Protecting the inflationary potential from quantum corrections typically requires symmetries that constrain the form of couplings of the inflaton to other sectors. We will explore how these restrictions affect reheating in models with UV completions. In particular, we look at how reheating occurs when inflation is governed by closed strings, using N-flation as an example. We find that coupling the inflaton preferentially to the Standard Model is difficult, and hidden sectors are typically reheated. Observational constraints are only met by a fraction of the models. In some working models, relativistic relics in the hidden sector provide dark matter candidates with masses that range from keV to PeV, with lighter masses being preferred.
|
hep-th/9403076
|
R. Shankar
|
R.Shankar, H.Mathur
|
Thomas Precession, Berry potential and the Meron
|
14pages
|
Phys.Rev.Lett. 73 (1994) 1565-1569
|
10.1103/PhysRevLett.73.1565
| null |
hep-th cond-mat
| null |
We begin with a prior observation by one of us that Thomas precession in the
nonrelativistic limit of the Dirac equation may be attributed to a nonabelian
Berry vector potential. We ask what object produces the nonabelian potential in
parameter space, in the same sense that the abelian vector potential arising in
the adiabatic transport of a nondegenerate level is produced by a monopole,
(centered at the point where the level becomes degenerate with another), as
shown by Berry. We find that it is a {\em meron}, an object in four euclidean
dimensions with instanton number ${1 \over 2}$, centered at the point where the
doubly degenerate positive and negative energy levels of the Dirac equation
become fourfold degenerate.
|
[
{
"created": "Mon, 14 Mar 1994 21:33:20 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Shankar",
"R.",
""
],
[
"Mathur",
"H.",
""
]
] |
We begin with a prior observation by one of us that Thomas precession in the nonrelativistic limit of the Dirac equation may be attributed to a nonabelian Berry vector potential. We ask what object produces the nonabelian potential in parameter space, in the same sense that the abelian vector potential arising in the adiabatic transport of a nondegenerate level is produced by a monopole, (centered at the point where the level becomes degenerate with another), as shown by Berry. We find that it is a {\em meron}, an object in four euclidean dimensions with instanton number ${1 \over 2}$, centered at the point where the doubly degenerate positive and negative energy levels of the Dirac equation become fourfold degenerate.
|
1010.5556
|
Hyung Won Lee
|
Hyung Won Lee and Kyoung Yee Kim and Yun Soo Myung
|
Equations of State in the Brans-Dicke cosmology
|
23 pages, 7 figures
|
Eur.Phys.J.C71:1585,2011
|
10.1140/epjc/s10052-011-1585-6
|
ij1012
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Brans-Dicke (BD) theory with the potential as cosmological
model to explain the present accelerating universe. In this work, we consider
the BD field as a perfect fluid with the energy density and pressure in the
Jordan frame. Introducing the power-law potential and the interaction with the
cold dark matter, we obtain the phantom divide which is confirmed by the native
and effective equation of state. Also we can describe the metric $f(R)$ gravity
with an appropriate potential, which shows a future crossing of phantom divide
in viable $f(R)$ gravity models when employing the native and effective
equations of state.
|
[
{
"created": "Wed, 27 Oct 2010 02:54:14 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2011 04:00:33 GMT",
"version": "v2"
}
] |
2011-03-14
|
[
[
"Lee",
"Hyung Won",
""
],
[
"Kim",
"Kyoung Yee",
""
],
[
"Myung",
"Yun Soo",
""
]
] |
We investigate the Brans-Dicke (BD) theory with the potential as cosmological model to explain the present accelerating universe. In this work, we consider the BD field as a perfect fluid with the energy density and pressure in the Jordan frame. Introducing the power-law potential and the interaction with the cold dark matter, we obtain the phantom divide which is confirmed by the native and effective equation of state. Also we can describe the metric $f(R)$ gravity with an appropriate potential, which shows a future crossing of phantom divide in viable $f(R)$ gravity models when employing the native and effective equations of state.
|
2009.12654
|
Mikhail Shifman
|
Mikhail Shifman
|
Supersymmetric Proximity
|
17 pages, 7 figures
| null | null |
FTPI-MINN-20-30, UMN-TH-3928/20
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I argue that a certain perturbative proximity exists between some
supersymmetric and non-supersymmetric theories (namely, pure Yang-Mills and
adjoint QCD with two flavors, adjQCD$_{N_f=2}$). I start with ${\mathcal N}=2$
super-Yang-Mills theory built of two ${\mathcal N}=1$ superfields: vector and
chiral. In ${\mathcal N}=1$ language the latter presents matter in the adjoint
representation of SU$(N). $ Then I convert the matter superfield into a "{\em
phantom}" one (in analogy with ghosts), breaking ${\mathcal N}=2$ down to
${\mathcal N}=1$. The global SU(2) acting between two gluinos in the original
theory becomes graded. Exact results in thus deformed theory allows one to
obtain insights in certain aspects of non-supersymmetric gluodynamics. In
particular, it becomes clear how the splitting of the $\beta$ function
coefficients in pure gluodynamics, $\beta_1 =(4 -\frac 13 )N$ and $\beta_2=
(6-\frac 13)N^2$, occurs. Here the first terms in the braces (4 and 6, always
integers) are geometry-related while the second terms ($-\frac 13$ in both
cases) are {\it bona fide} quantum effects. In the same sense adjQCD$_{N_f=2}$
is close to ${\mathcal N}=2$ SYM.
Thus, I establish a certain proximity between pure gluodynamics and
adjQCD$_{N_f=2}$ with supersymmetric theories. (Of course, in both cases we
loose all features related to flat directions and Higgs/Coulomb branches in
${\mathcal N}=2$.) As a warmup exercise I use this idea in 2D CP(1) sigma model
with ${\mathcal N}=(2,2)$ supersymmetry, through the minimal heterotic
${\mathcal N}=(0,2) \to$ bosonic CP(1).
|
[
{
"created": "Sat, 26 Sep 2020 17:44:18 GMT",
"version": "v1"
}
] |
2020-09-29
|
[
[
"Shifman",
"Mikhail",
""
]
] |
I argue that a certain perturbative proximity exists between some supersymmetric and non-supersymmetric theories (namely, pure Yang-Mills and adjoint QCD with two flavors, adjQCD$_{N_f=2}$). I start with ${\mathcal N}=2$ super-Yang-Mills theory built of two ${\mathcal N}=1$ superfields: vector and chiral. In ${\mathcal N}=1$ language the latter presents matter in the adjoint representation of SU$(N). $ Then I convert the matter superfield into a "{\em phantom}" one (in analogy with ghosts), breaking ${\mathcal N}=2$ down to ${\mathcal N}=1$. The global SU(2) acting between two gluinos in the original theory becomes graded. Exact results in thus deformed theory allows one to obtain insights in certain aspects of non-supersymmetric gluodynamics. In particular, it becomes clear how the splitting of the $\beta$ function coefficients in pure gluodynamics, $\beta_1 =(4 -\frac 13 )N$ and $\beta_2= (6-\frac 13)N^2$, occurs. Here the first terms in the braces (4 and 6, always integers) are geometry-related while the second terms ($-\frac 13$ in both cases) are {\it bona fide} quantum effects. In the same sense adjQCD$_{N_f=2}$ is close to ${\mathcal N}=2$ SYM. Thus, I establish a certain proximity between pure gluodynamics and adjQCD$_{N_f=2}$ with supersymmetric theories. (Of course, in both cases we loose all features related to flat directions and Higgs/Coulomb branches in ${\mathcal N}=2$.) As a warmup exercise I use this idea in 2D CP(1) sigma model with ${\mathcal N}=(2,2)$ supersymmetry, through the minimal heterotic ${\mathcal N}=(0,2) \to$ bosonic CP(1).
|
1410.2408
|
Sergey Sibiryakov
|
Diego Blas, Sergey Sibiryakov
|
Completing Lorentz violating massive gravity at high energies
|
33 pages, 3 figures; to appear in a special issue of JETP dedicated
to the 60th birthday of Valery Rubakov; minor changes with respect to v1,
references updated
|
JETP Vol. 147 (3) (2015)
|
10.1134/S1063776115030164
|
CERN-PH-TH-2014-191, INR-TH/2014-021
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theories with massive gravitons are interesting for a variety of physical
applications, ranging from cosmological phenomena to holographic modeling of
condensed matter systems. To date, they have been formulated as effective field
theories with a cutoff proportional to a positive power of the graviton mass
m_g and much smaller than that of the massless theory (M_P ~ 10^19 GeV in the
case of general relativity). In this paper we present an ultraviolet completion
for massive gravity valid up to a high energy scale independent of the graviton
mass. The construction is based on the existence of a preferred time foliation
combined with spontaneous condensation of vector fields. The perturbations of
these fields are massive and below their mass the theory reduces to a model of
Lorentz violating massive gravity. The latter theory possesses instantaneous
modes whose consistent quantization we discuss in detail. We briefly study some
modifications to gravitational phenomenology at low-energies. The homogeneous
cosmological solutions are the same as in the standard cosmology. The
gravitational potential of point sources agrees with the Newtonian one at
distances small with respect to m_g^(-1). Interestingly, it becomes repulsive
at larger distances.
|
[
{
"created": "Thu, 9 Oct 2014 10:04:55 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2015 11:25:17 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Blas",
"Diego",
""
],
[
"Sibiryakov",
"Sergey",
""
]
] |
Theories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have been formulated as effective field theories with a cutoff proportional to a positive power of the graviton mass m_g and much smaller than that of the massless theory (M_P ~ 10^19 GeV in the case of general relativity). In this paper we present an ultraviolet completion for massive gravity valid up to a high energy scale independent of the graviton mass. The construction is based on the existence of a preferred time foliation combined with spontaneous condensation of vector fields. The perturbations of these fields are massive and below their mass the theory reduces to a model of Lorentz violating massive gravity. The latter theory possesses instantaneous modes whose consistent quantization we discuss in detail. We briefly study some modifications to gravitational phenomenology at low-energies. The homogeneous cosmological solutions are the same as in the standard cosmology. The gravitational potential of point sources agrees with the Newtonian one at distances small with respect to m_g^(-1). Interestingly, it becomes repulsive at larger distances.
|
0805.0336
|
Masato Taki
|
Masato Taki
|
Flop Invariance of Refined Topological Vertex and Link Homologies
|
15 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been proposed recently that the topological A-model string theory on
local toric Calabi-Yau manifolds has a two parameter extension. Amplitudes of
the two parameter topological strings can be computed using a diagrammatic
method called the refined topological vertex. In this paper we study properties
of the refined amplitudes under the flop transition of toric Calabi-Yau
three-folds. We also discuss that the slicing invariance and the flop
transition imply a simple formula for the homological sl(N) invariants of the
Hopf link. The new expression for the invariants gives a simple refinement of
the Hopf link invariant of Chern-Simons theory.
|
[
{
"created": "Sat, 3 May 2008 04:46:18 GMT",
"version": "v1"
}
] |
2008-05-06
|
[
[
"Taki",
"Masato",
""
]
] |
It has been proposed recently that the topological A-model string theory on local toric Calabi-Yau manifolds has a two parameter extension. Amplitudes of the two parameter topological strings can be computed using a diagrammatic method called the refined topological vertex. In this paper we study properties of the refined amplitudes under the flop transition of toric Calabi-Yau three-folds. We also discuss that the slicing invariance and the flop transition imply a simple formula for the homological sl(N) invariants of the Hopf link. The new expression for the invariants gives a simple refinement of the Hopf link invariant of Chern-Simons theory.
|
1301.0192
|
Tudor Dan Dimofte
|
Tudor Dimofte, Maxime Gabella, Alexander B. Goncharov
|
K-Decompositions and 3d Gauge Theories
|
121 pages + 2 appendices, 80 figures; Version 2: reorganized
mathematical perspective, swapped Sections 3 and 4
| null | null | null |
hep-th math.AG math.GT math.QA math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper combines several new constructions in mathematics and physics.
Mathematically, we study framed flat PGL(K,C)-connections on a large class of
3-manifolds M with boundary. We define a space L_K(M) of framed flat
connections on the boundary of M that extend to M. Our goal is to understand an
open part of L_K(M) as a Lagrangian in the symplectic space of framed flat
connections on the boundary, and as a K_2-Lagrangian, meaning that the
K_2-avatar of the symplectic form restricts to zero. We construct an open part
of L_K(M) from data assigned to a hypersimplicial K-decomposition of an ideal
triangulation of M, generalizing Thurston's gluing equations in 3d hyperbolic
geometry, and combining them with the cluster coordinates for framed flat
PGL(K)-connections on surfaces. Using a canonical map from the complex of
configurations of decorated flags to the Bloch complex, we prove that any
generic component of L_K(M) is K_2-isotropic if the boundary satisfies some
topological constraints (Theorem 4.2). In some cases this implies that L_K(M)
is K_2-Lagrangian. For general M, we extend a classic result of Neumann-Zagier
on symplectic properties of PGL(2) gluing equations to reduce the
K_2-Lagrangian property to a combinatorial claim.
Physically, we use the symplectic properties of K-decompositions to construct
3d N=2 superconformal field theories T_K[M] corresponding (conjecturally) to
the compactification of K M5-branes on M. This extends known constructions for
K=2. Just as for K=2, the theories T_K[M] are described as IR fixed points of
abelian Chern-Simons-matter theories. Changes of triangulation (2-3 moves) lead
to abelian mirror symmetries that are all generated by the elementary duality
between N_f=1 SQED and the XYZ model. In the large K limit, we find evidence
that the degrees of freedom of T_K[M] grow cubically in K.
|
[
{
"created": "Wed, 2 Jan 2013 08:54:42 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 2016 23:29:29 GMT",
"version": "v2"
}
] |
2016-02-03
|
[
[
"Dimofte",
"Tudor",
""
],
[
"Gabella",
"Maxime",
""
],
[
"Goncharov",
"Alexander B.",
""
]
] |
This paper combines several new constructions in mathematics and physics. Mathematically, we study framed flat PGL(K,C)-connections on a large class of 3-manifolds M with boundary. We define a space L_K(M) of framed flat connections on the boundary of M that extend to M. Our goal is to understand an open part of L_K(M) as a Lagrangian in the symplectic space of framed flat connections on the boundary, and as a K_2-Lagrangian, meaning that the K_2-avatar of the symplectic form restricts to zero. We construct an open part of L_K(M) from data assigned to a hypersimplicial K-decomposition of an ideal triangulation of M, generalizing Thurston's gluing equations in 3d hyperbolic geometry, and combining them with the cluster coordinates for framed flat PGL(K)-connections on surfaces. Using a canonical map from the complex of configurations of decorated flags to the Bloch complex, we prove that any generic component of L_K(M) is K_2-isotropic if the boundary satisfies some topological constraints (Theorem 4.2). In some cases this implies that L_K(M) is K_2-Lagrangian. For general M, we extend a classic result of Neumann-Zagier on symplectic properties of PGL(2) gluing equations to reduce the K_2-Lagrangian property to a combinatorial claim. Physically, we use the symplectic properties of K-decompositions to construct 3d N=2 superconformal field theories T_K[M] corresponding (conjecturally) to the compactification of K M5-branes on M. This extends known constructions for K=2. Just as for K=2, the theories T_K[M] are described as IR fixed points of abelian Chern-Simons-matter theories. Changes of triangulation (2-3 moves) lead to abelian mirror symmetries that are all generated by the elementary duality between N_f=1 SQED and the XYZ model. In the large K limit, we find evidence that the degrees of freedom of T_K[M] grow cubically in K.
|
1405.5687
|
Akash Jain
|
Nabamita Banerjee, Suvankar Dutta, Akash Jain, Dibakar Roychowdhury
|
Entropy current for non-relativistic fluid
|
18 pages
|
JHEP 1408 (2014) 037
|
10.1007/JHEP08(2014)037
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study transport properties of a parity-odd, non-relativistic charged fluid
in presence of background electric and magnetic fields. To obtain stress tensor
and charged current for the non-relativistic system we start with the most
generic relativistic fluid, living in one higher dimension and reduce the
constituent equations along the light-cone direction. We also reduce the
equation satisfied by the entropy current of the relativistic theory and obtain
a consistent entropy current for the non-relativistic system (we call it
"canonical form" of the entropy current). Demanding that the non-relativistic
fluid satisfies the second law of thermodynamics we impose constraints on
various first order transport coefficients. For parity even fluid, this is
straight forward; it tells us positive definiteness of different transport
coefficients like viscosity, thermal conductivity, electric conductivity etc.
However for parity-odd fluid, canonical form of the entropy current fails to
confirm the second law of thermodynamics. Therefore, we need to add two
parity-odd vectors to the entropy current with arbitrary coefficients. Upon
demanding the validity of second law, we see that one can fix these two
coefficients exactly.
|
[
{
"created": "Thu, 22 May 2014 09:39:02 GMT",
"version": "v1"
}
] |
2015-02-03
|
[
[
"Banerjee",
"Nabamita",
""
],
[
"Dutta",
"Suvankar",
""
],
[
"Jain",
"Akash",
""
],
[
"Roychowdhury",
"Dibakar",
""
]
] |
We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic relativistic fluid, living in one higher dimension and reduce the constituent equations along the light-cone direction. We also reduce the equation satisfied by the entropy current of the relativistic theory and obtain a consistent entropy current for the non-relativistic system (we call it "canonical form" of the entropy current). Demanding that the non-relativistic fluid satisfies the second law of thermodynamics we impose constraints on various first order transport coefficients. For parity even fluid, this is straight forward; it tells us positive definiteness of different transport coefficients like viscosity, thermal conductivity, electric conductivity etc. However for parity-odd fluid, canonical form of the entropy current fails to confirm the second law of thermodynamics. Therefore, we need to add two parity-odd vectors to the entropy current with arbitrary coefficients. Upon demanding the validity of second law, we see that one can fix these two coefficients exactly.
|
1811.04278
|
Nikita Nekrasov
|
Nikita Nekrasov
|
Superspin chains and supersymmetric gauge theories
|
19 pages
| null |
10.1007/JHEP03(2019)102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the possible extensions of Bethe/gauge correspondence to quantum
integrable systems based on the super-Lie algebras of A type. Along the way we
propose the analogues of Nakajima quiver varieties whose cohomology and
K-theory should carry the representations of the corresponding Yangian and the
quantum affine algebras, respectively. We end up with comments on the N=4
planar super-Yang-Mills theory in four dimensions.
|
[
{
"created": "Sat, 10 Nov 2018 16:28:41 GMT",
"version": "v1"
}
] |
2019-05-01
|
[
[
"Nekrasov",
"Nikita",
""
]
] |
We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type. Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the representations of the corresponding Yangian and the quantum affine algebras, respectively. We end up with comments on the N=4 planar super-Yang-Mills theory in four dimensions.
|
1711.10727
|
Francesco Giacosa
|
Francesco Giacosa
|
Toward a QFT treatment of nonexponential decay
|
10 pages. Prepared for the proceedings of the 6th International
Conference on New Frontiers in Physics (ICNFP 2017), 17-29/8/2017, Kolymbari,
Crete (Greece)
| null |
10.1051/epjconf/201818202045
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the properties of the survival probability of an unstable quantum
state described by a Lee Hamiltonian. This theoretical approach resembles
closely Quantum Field Theory (QFT): one can introduce in a rather simple
framework the concept of propagator and Feynman rules, Within this context, we
re-derive (in a detailed and didactical way) the well-known result according to
which the amplitude of the survival probability is the Fourier transform of the
energy distribution (or spectral function) of the unstable state (in turn, the
energy distribution is proportional to the imaginary part of the propagator of
the unstable state). Typically, the survival probability amplitude is the
starting point of many studies of non-exponential decays. This work represents
a further step toward the evaluation of the survival probability amplitude in
genuine relativistic QFT. However, although many similarities exist, QFT
presents some differences w.r.t. the Lee Hamiltonian which should be studied in
the future.
|
[
{
"created": "Wed, 29 Nov 2017 08:47:51 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Giacosa",
"Francesco",
""
]
] |
We study the properties of the survival probability of an unstable quantum state described by a Lee Hamiltonian. This theoretical approach resembles closely Quantum Field Theory (QFT): one can introduce in a rather simple framework the concept of propagator and Feynman rules, Within this context, we re-derive (in a detailed and didactical way) the well-known result according to which the amplitude of the survival probability is the Fourier transform of the energy distribution (or spectral function) of the unstable state (in turn, the energy distribution is proportional to the imaginary part of the propagator of the unstable state). Typically, the survival probability amplitude is the starting point of many studies of non-exponential decays. This work represents a further step toward the evaluation of the survival probability amplitude in genuine relativistic QFT. However, although many similarities exist, QFT presents some differences w.r.t. the Lee Hamiltonian which should be studied in the future.
|
hep-th/0006062
|
Shiraz Minwalla
|
Rajesh Gopakumar, Shiraz Minwalla, Nathan Seiberg and Andrew
Strominger
|
OM Theory in Diverse Dimensions
|
v1: 18 pages, harvmac, devnag, 3 figs; v2: Major Additions. Section
added on new near critical NS5-brane theories. Subsection 5.1 deleted.
References added. 26 pages
|
JHEP 0008:008,2000
|
10.1088/1126-6708/2000/08/008
| null |
hep-th
| null |
Open string theories can be decoupled from closed strings and gravity by
scaling to the critical electric field. We propose dual descriptions for the
strong coupling limit of these NCOS (Non-Commutative Open String) theories in
six or fewer spacetime dimensions. In particular, we conjecture that the
five-dimensionsal NCOS theory at strong coupling, is a theory of light Open
Membranes (OM), decoupled from gravity, on an M5-brane with a near-critical
three-form field strength. The relation of OM theory to NCOS theories resembles
that of M theory to Type II closed string theories. In two dimensions we
conjecture that supersymmetric U($n$) gauge theory with a unit of electric flux
is dual to the NCOS theory with string coupling $1 \over n$. A construction
based on NS5-branes leads to new theories in six dimensions generalising the
little string theory. A web of dualities relates all the above theories when
they are compactified on tori.
|
[
{
"created": "Thu, 8 Jun 2000 21:46:53 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 2000 03:28:20 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Gopakumar",
"Rajesh",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Seiberg",
"Nathan",
""
],
[
"Strominger",
"Andrew",
""
]
] |
Open string theories can be decoupled from closed strings and gravity by scaling to the critical electric field. We propose dual descriptions for the strong coupling limit of these NCOS (Non-Commutative Open String) theories in six or fewer spacetime dimensions. In particular, we conjecture that the five-dimensionsal NCOS theory at strong coupling, is a theory of light Open Membranes (OM), decoupled from gravity, on an M5-brane with a near-critical three-form field strength. The relation of OM theory to NCOS theories resembles that of M theory to Type II closed string theories. In two dimensions we conjecture that supersymmetric U($n$) gauge theory with a unit of electric flux is dual to the NCOS theory with string coupling $1 \over n$. A construction based on NS5-branes leads to new theories in six dimensions generalising the little string theory. A web of dualities relates all the above theories when they are compactified on tori.
|
2101.08759
|
Andrei Mironov
|
A. Mironov, A. Morozov
|
Generalized Q-functions for GKM
|
13 pages
|
Physics Letters B819 (2021) 136474
|
10.1016/j.physletb.2021.136474
|
FIAN/TD-01/21; IITP/TH-01/21; ITEP/TH-01/21; MIPT/TH-01/21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently we explained that the classical $Q$ Schur functions stand behind
various well-known properties of the cubic Kontsevich model, and the next step
is to ask what happens in this approach to the generalized Kontsevich model
(GKM) with monomial potential $X^{n+1}$. We propose to use the Hall-Littlewood
polynomials at the parameter equal to the $n$-th root of unity as a
generalization of the $Q$ Schur functions from $n=2$ to arbitrary $n>2$. They
are associated with $n$-strict Young diagrams and are independent of
time-variables $p_{kn}$ with numbers divisible by $n$. These are exactly the
properties possessed by the generalized Kontsevich model (GKM), thus its
partition function can be expanded in such functions $Q^{(n)}$. However, the
coefficients of this expansion remain to be properly identified. At this
moment, we have not found any "superintegrability" property $<character>\,\sim
character$, which expressed these coefficients through the values of $Q$ at
delta-loci in the $n=2$ case. This is not a big surprise, because for $n>2$ our
suggested $Q$ functions are not looking associated with characters.
|
[
{
"created": "Thu, 21 Jan 2021 18:16:02 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jan 2021 08:31:24 GMT",
"version": "v2"
}
] |
2021-07-01
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
Recently we explained that the classical $Q$ Schur functions stand behind various well-known properties of the cubic Kontsevich model, and the next step is to ask what happens in this approach to the generalized Kontsevich model (GKM) with monomial potential $X^{n+1}$. We propose to use the Hall-Littlewood polynomials at the parameter equal to the $n$-th root of unity as a generalization of the $Q$ Schur functions from $n=2$ to arbitrary $n>2$. They are associated with $n$-strict Young diagrams and are independent of time-variables $p_{kn}$ with numbers divisible by $n$. These are exactly the properties possessed by the generalized Kontsevich model (GKM), thus its partition function can be expanded in such functions $Q^{(n)}$. However, the coefficients of this expansion remain to be properly identified. At this moment, we have not found any "superintegrability" property $<character>\,\sim character$, which expressed these coefficients through the values of $Q$ at delta-loci in the $n=2$ case. This is not a big surprise, because for $n>2$ our suggested $Q$ functions are not looking associated with characters.
|
hep-th/0109195
|
D. R. T. Jones
|
I. Jack and D.R.T. Jones
|
Ultra-violet Finiteness in Noncommutative Supersymmetric Theories
|
11 pages, Tex, one figure. Uses harvmac (big) and epsf
|
NewJ.Phys.3:19,2001
|
10.1088/1367-2630/3/1/319
|
LTH 519
|
hep-th
| null |
We consider the ultra-violet divergence structure of general noncommutative
supersymmetric $U(N_c)$ gauge theories, and seek theories which are all-orders
finite.
|
[
{
"created": "Tue, 25 Sep 2001 13:48:53 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
]
] |
We consider the ultra-violet divergence structure of general noncommutative supersymmetric $U(N_c)$ gauge theories, and seek theories which are all-orders finite.
|
2008.00379
|
Naohisa Sueishi
|
Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi, Mithat \"Unsal
|
On exact-WKB analysis, resurgent structure, and quantization conditions
|
51 pages, 12 figures, typo corrected, added comments into Sec.IV
|
JHEP 12 (2020) 114
|
10.1007/JHEP12(2020)114
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are two well-known approaches to studying nonperturbative aspects of
quantum mechanical systems: Saddle point analysis of the partition functions in
Euclidean path integral formulation and the exact-WKB analysis based on the
wave functions in the Schr\"{o}dinger equation. In this work, based on the
quantization conditions obtained from the exact-WKB method, we determine the
relations between the two formalism and in particular show how the two Stokes
phenomena are connected to each other: the Stokes phenomenon leading to the
ambiguous contribution of different sectors of the path integral formulation
corresponds to the change of the "topology" of the Stoke curves in the
exact-WKB analysis.
We also clarify the equivalence of different quantization conditions
including Bohr-Sommerfeld, path integral and Gutzwiller's ones. In particular,
by reorganizing the exact quantization condition, we improve Gutzwiller
analysis in a crucial way by bion contributions (incorporating complex periodic
paths) and turn it into an exact result. Furthermore, we argue the novel
meaning of quasi-moduli integral and provide a relation between the Maslov
index and the intersection number of Lefschetz thimbles.
|
[
{
"created": "Sun, 2 Aug 2020 02:06:24 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 2020 15:52:52 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Sep 2020 14:21:25 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Oct 2020 15:03:26 GMT",
"version": "v4"
}
] |
2021-01-01
|
[
[
"Sueishi",
"Naohisa",
""
],
[
"Kamata",
"Syo",
""
],
[
"Misumi",
"Tatsuhiro",
""
],
[
"Ünsal",
"Mithat",
""
]
] |
There are two well-known approaches to studying nonperturbative aspects of quantum mechanical systems: Saddle point analysis of the partition functions in Euclidean path integral formulation and the exact-WKB analysis based on the wave functions in the Schr\"{o}dinger equation. In this work, based on the quantization conditions obtained from the exact-WKB method, we determine the relations between the two formalism and in particular show how the two Stokes phenomena are connected to each other: the Stokes phenomenon leading to the ambiguous contribution of different sectors of the path integral formulation corresponds to the change of the "topology" of the Stoke curves in the exact-WKB analysis. We also clarify the equivalence of different quantization conditions including Bohr-Sommerfeld, path integral and Gutzwiller's ones. In particular, by reorganizing the exact quantization condition, we improve Gutzwiller analysis in a crucial way by bion contributions (incorporating complex periodic paths) and turn it into an exact result. Furthermore, we argue the novel meaning of quasi-moduli integral and provide a relation between the Maslov index and the intersection number of Lefschetz thimbles.
|
1507.08342
|
Masahide Manabe
|
Yoshinori Honma, Masahide Manabe
|
Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
|
46 pages, 6 figures. v2: minor corrections
| null |
10.1007/JHEP03(2016)160
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifications with fluxes and branes motivate us to study various
enumerative invariants of Calabi-Yau manifolds. In this paper, we study
non-perturbative corrections depending on both open and closed string moduli
for a class of compact Calabi-Yau manifolds in general dimensions. Our analysis
is based on the methods using relative cohomology and generalized
hypergeometric system. For the simplest example of compact Calabi-Yau fivefold,
we explicitly derive the associated Picard-Fuchs differential equations and
compute the quantum corrections in terms of the open and closed flat
coordinates. Implications for a kind of open-closed duality are also discussed.
|
[
{
"created": "Wed, 29 Jul 2015 23:19:36 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2015 13:44:17 GMT",
"version": "v2"
}
] |
2016-04-20
|
[
[
"Honma",
"Yoshinori",
""
],
[
"Manabe",
"Masahide",
""
]
] |
Compactifications with fluxes and branes motivate us to study various enumerative invariants of Calabi-Yau manifolds. In this paper, we study non-perturbative corrections depending on both open and closed string moduli for a class of compact Calabi-Yau manifolds in general dimensions. Our analysis is based on the methods using relative cohomology and generalized hypergeometric system. For the simplest example of compact Calabi-Yau fivefold, we explicitly derive the associated Picard-Fuchs differential equations and compute the quantum corrections in terms of the open and closed flat coordinates. Implications for a kind of open-closed duality are also discussed.
|
hep-th/9811043
|
Ian D. Lawrie
|
Ian D. Lawrie
|
Perturbative nonequilibrium dynamics of phase transitions in an
expanding universe
|
22 pages, using RevTeX. 6 figures. Submitted to Physical Review D
|
Phys.Rev. D60 (1999) 063510
|
10.1103/PhysRevD.60.063510
| null |
hep-th gr-qc hep-ph
| null |
A complete set of Feynman rules is derived, which permits a perturbative
description of the nonequilibrium dynamics of a symmetry-breaking phase
transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a
naive expansion in powers of the coupling constant, this approximation scheme
provides for (a) a description of the nonequilibrium state in terms of its own
finite-width quasiparticle excitations, thus correctly incorporating
dissipative effects in low-order calculations, and (b) the emergence from a
symmetric initial state of a final state exhibiting the properties of
spontaneous symmetry breaking, while maintaining the constraint $<\phi>\equiv
0$. Earlier work on dissipative perturbation theory and spontaneous symmetry
breaking in Minkowski spacetime is reviewed. The central problem addressed is
the construction of a perturbative approximation scheme which treats the
initial symmetric state in terms of the field $\phi$, while the state that
emerges at later times is treated in terms of a field $\zeta$, linearly related
to $\phi^2$. The connection between early and late times involves an infinite
sequence of composite propagators. Explicit one-loop calculations are given of
the gap equations that determine quasiparticle masses and of the equation of
motion for $<\phi^2(t)>$ and the renormalization of these equations is
described. The perturbation series needed to describe the symmetric and
broken-symmetry states are not equivalent, and this leads to ambiguities
intrinsic to any perturbative approach. These ambiguities are discussed in
detail and a systematic procedure for matching the two approximations is
described.
|
[
{
"created": "Wed, 4 Nov 1998 15:45:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Lawrie",
"Ian D.",
""
]
] |
A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion in powers of the coupling constant, this approximation scheme provides for (a) a description of the nonequilibrium state in terms of its own finite-width quasiparticle excitations, thus correctly incorporating dissipative effects in low-order calculations, and (b) the emergence from a symmetric initial state of a final state exhibiting the properties of spontaneous symmetry breaking, while maintaining the constraint $<\phi>\equiv 0$. Earlier work on dissipative perturbation theory and spontaneous symmetry breaking in Minkowski spacetime is reviewed. The central problem addressed is the construction of a perturbative approximation scheme which treats the initial symmetric state in terms of the field $\phi$, while the state that emerges at later times is treated in terms of a field $\zeta$, linearly related to $\phi^2$. The connection between early and late times involves an infinite sequence of composite propagators. Explicit one-loop calculations are given of the gap equations that determine quasiparticle masses and of the equation of motion for $<\phi^2(t)>$ and the renormalization of these equations is described. The perturbation series needed to describe the symmetric and broken-symmetry states are not equivalent, and this leads to ambiguities intrinsic to any perturbative approach. These ambiguities are discussed in detail and a systematic procedure for matching the two approximations is described.
|
1005.2180
|
Joel Saavedra
|
Samuel Lepe and Francisco Pena
|
Crossing the phantom divide with Ricci-like holographic dark energy
|
Match with accepted version by EPJC
|
Eur.Phys.J.C69:575-579,2010
|
10.1140/epjc/s10052-010-1427-y
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a holographic model for the dark energy considered recently in the
literature which postulates an energy density $\rho \sim R$, where $R$ is the
Ricci scalar curvature. We obtain a cosmological scenario that comes from
considering two non-interacting fluids along a reasonable Ansatz for the cosmic
coincidence parameter. We adjust the involved parameters in the model according
to the observational data and we show that the equation of state for the dark
energy experience a cross through the -1 barrier. In addition, we find a
disagreement in these parameters with respect to an approach from a scalar
field theory.
|
[
{
"created": "Wed, 12 May 2010 19:54:45 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Aug 2010 17:33:00 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Aug 2010 17:50:02 GMT",
"version": "v3"
}
] |
2014-11-21
|
[
[
"Lepe",
"Samuel",
""
],
[
"Pena",
"Francisco",
""
]
] |
We study a holographic model for the dark energy considered recently in the literature which postulates an energy density $\rho \sim R$, where $R$ is the Ricci scalar curvature. We obtain a cosmological scenario that comes from considering two non-interacting fluids along a reasonable Ansatz for the cosmic coincidence parameter. We adjust the involved parameters in the model according to the observational data and we show that the equation of state for the dark energy experience a cross through the -1 barrier. In addition, we find a disagreement in these parameters with respect to an approach from a scalar field theory.
|
1811.03013
|
Ashok Kapoor
|
A. K. Kapoor
|
Stochastic Quantization of Axial Vector Gauge Theories
|
8pages, arXive:1811.03013 was inadvertently replaced by a new file
submitted to the arXive in Mar 2021. Now attempting to restore the original
version of arXiv:1811.03013
|
Modern Physics Letters {\bf A 34}, No. 22, 1950176 (2019)
|
10.1142/S0217732319501761
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The stochastic quantization scheme proposed by Parisi and Wu in 1981 is known
to have differences from conventional quantum field theory in higher orders. It
has been suggested that some of these new features might give rise to a
mechanism to explain tiny fermion masses as arising due to radiative
corrections. In view of importance for need of going beyond the standard model,
in this article some features of U(1) axial vector gauge theory in Parisi Wu
stochastic quantization scheme are reported. Renormalizability of a massive
axial vector gague theory coupled to a massless fermion appears as one of the
important conclusions.
|
[
{
"created": "Wed, 31 Oct 2018 11:15:30 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2021 17:54:14 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Apr 2021 15:43:10 GMT",
"version": "v3"
}
] |
2021-04-07
|
[
[
"Kapoor",
"A. K.",
""
]
] |
The stochastic quantization scheme proposed by Parisi and Wu in 1981 is known to have differences from conventional quantum field theory in higher orders. It has been suggested that some of these new features might give rise to a mechanism to explain tiny fermion masses as arising due to radiative corrections. In view of importance for need of going beyond the standard model, in this article some features of U(1) axial vector gauge theory in Parisi Wu stochastic quantization scheme are reported. Renormalizability of a massive axial vector gague theory coupled to a massless fermion appears as one of the important conclusions.
|
2111.01051
|
Ishmael Takyi
|
I. Takyi, B. Barnes, H. M. Tornyeviadzi, and J. Ackora-Prah
|
Scattering of Kinks in Noncanonical sine-Gordon Model
|
11 pages, 22 figures
|
Turk. J. Phys. (2022) 46:37-50
|
10.3906/fiz-2201-1
| null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we numerically study the scattering of kinks in the
noncanonical sine-Gordon model using Fourier spectral methods. The model
depends on two free parameters, which control the localized inner structure in
the energy density and the characteristics of the scattering potential. It has
been conjectured that the kink solutions in the noncanonical model possess
inner structures in their energy density, and the presence of these yields
bound states and resonance structures for some relative velocities between the
kink and the antikink. In the numerical study, we observed that the classical
kink mass decreases monotonically as the free parameters vary, and yields
bion-formations and long-lived oscillations in the scattering of the
kink-antikink system.
|
[
{
"created": "Mon, 1 Nov 2021 15:57:33 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jan 2022 16:16:46 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Feb 2022 18:01:07 GMT",
"version": "v3"
},
{
"created": "Sun, 6 Mar 2022 11:35:19 GMT",
"version": "v4"
}
] |
2022-03-08
|
[
[
"Takyi",
"I.",
""
],
[
"Barnes",
"B.",
""
],
[
"Tornyeviadzi",
"H. M.",
""
],
[
"Ackora-Prah",
"J.",
""
]
] |
In this paper, we numerically study the scattering of kinks in the noncanonical sine-Gordon model using Fourier spectral methods. The model depends on two free parameters, which control the localized inner structure in the energy density and the characteristics of the scattering potential. It has been conjectured that the kink solutions in the noncanonical model possess inner structures in their energy density, and the presence of these yields bound states and resonance structures for some relative velocities between the kink and the antikink. In the numerical study, we observed that the classical kink mass decreases monotonically as the free parameters vary, and yields bion-formations and long-lived oscillations in the scattering of the kink-antikink system.
|
hep-th/0003030
|
Martin Schaden
|
Martin Schaden
|
SU(2) Gauge Theory in Covariant (Maximal) Abelian Gauges
|
13 pages, 2 figures included, talk presented at Vth Workshop on QCD,
Villefranche, 3-7th January 2000
| null | null |
NYU-TH/00/03/04
|
hep-th
| null |
The local covariant continuum action of an SU(2) gauge theory in covariant
Abelian gauges is investigated. It describes the critical limit of an Abelian
Lattice Gauge Theory (LGT) with an equivariant BRST-symmetry. This Abelian LGT
has previously been proven to be physically equivalent to the SU(2)-LGT.
Renormalizability requires a quartic ghost interaction in these nonlinear
gauges (also in maximal Abelian gauge). Arguments that a certain global SL(2,R)
symmetry is dynamically broken by ghost-antighost condensation in a BCS-like
mechanism are presented. The scenario can be viewed as a dynamical Higgs
mechanism in the adjoint that gives massive off-diagonal gluons and a BRST
quartet of Goldstone bosonsthat decouples from physical observables. The gap
parameter is related to the expectation value of the trace anomaly and the
consistency of this scenario with the Operator Product Expansion is discussed.
|
[
{
"created": "Fri, 3 Mar 2000 23:41:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schaden",
"Martin",
""
]
] |
The local covariant continuum action of an SU(2) gauge theory in covariant Abelian gauges is investigated. It describes the critical limit of an Abelian Lattice Gauge Theory (LGT) with an equivariant BRST-symmetry. This Abelian LGT has previously been proven to be physically equivalent to the SU(2)-LGT. Renormalizability requires a quartic ghost interaction in these nonlinear gauges (also in maximal Abelian gauge). Arguments that a certain global SL(2,R) symmetry is dynamically broken by ghost-antighost condensation in a BCS-like mechanism are presented. The scenario can be viewed as a dynamical Higgs mechanism in the adjoint that gives massive off-diagonal gluons and a BRST quartet of Goldstone bosonsthat decouples from physical observables. The gap parameter is related to the expectation value of the trace anomaly and the consistency of this scenario with the Operator Product Expansion is discussed.
|
1009.3428
|
Matteo Beccaria
|
Matteo Beccaria, Guido Macorini
|
A numerical test of the Y-system in the small size limit of the SU(2)x
SU(2) Principal Chiral Model
|
28 pages, 24 figures
|
Int.J.Mod.Phys.A26:1229-1252,2011
|
10.1142/S0217751X11052864
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, Kazakov, Gromov and Vieira applied the discrete Hirota dynamics to
study the finite size spectra of integrable two dimensional quantum field
theories. The method has been tested from large values of the size L down to
moderate values using the SU(2) x SU(2) principal chiral model as a theoretical
laboratory. We continue the numerical analysis of the proposed non-linear
integral equations showing that the deep ultraviolet region L -> 0 is
numerically accessible. To this aim, we introduce a relaxed iterative algorithm
for the numerical computation of the low-lying part of the spectrum in the U(1)
sector. We discuss in details the systematic errors involved in the
computation. When a comparison is possible, full agreement is found with
previous TBA computations.
|
[
{
"created": "Fri, 17 Sep 2010 14:07:54 GMT",
"version": "v1"
}
] |
2011-04-08
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
]
] |
Recently, Kazakov, Gromov and Vieira applied the discrete Hirota dynamics to study the finite size spectra of integrable two dimensional quantum field theories. The method has been tested from large values of the size L down to moderate values using the SU(2) x SU(2) principal chiral model as a theoretical laboratory. We continue the numerical analysis of the proposed non-linear integral equations showing that the deep ultraviolet region L -> 0 is numerically accessible. To this aim, we introduce a relaxed iterative algorithm for the numerical computation of the low-lying part of the spectrum in the U(1) sector. We discuss in details the systematic errors involved in the computation. When a comparison is possible, full agreement is found with previous TBA computations.
|
hep-th/0305170
|
Marek Olechowski
|
Krzysztof A. Meissner and Marek Olechowski
|
General warped solutions in 5D dilaton gravity
|
latex, 11 pages, version published in Class. Quantum Grav., see
http://www.iop.org
|
Class.Quant.Grav. 20 (2003) 5391-5397
|
10.1088/0264-9381/20/24/011
| null |
hep-th gr-qc
| null |
We present explicit analytic form of general warped solutions of the string
inspired dilaton gravity system with bulk cosmological constant in 5
dimensions. The general solution allows for either nonvanishing effective
4-dimensional cosmological constant or the nontrivial 4-dimensional dilaton but
not both.
|
[
{
"created": "Tue, 20 May 2003 15:02:01 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Nov 2003 10:47:15 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Meissner",
"Krzysztof A.",
""
],
[
"Olechowski",
"Marek",
""
]
] |
We present explicit analytic form of general warped solutions of the string inspired dilaton gravity system with bulk cosmological constant in 5 dimensions. The general solution allows for either nonvanishing effective 4-dimensional cosmological constant or the nontrivial 4-dimensional dilaton but not both.
|
1609.06571
|
Mohammad Ghanaatian
|
M. Ghanaatian, A. Bazrafshan, S. Taghipoor and R. Tawoosi
|
Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of
Maxwell and Born-Infeld Electromagnetic Field
|
15 pages and 8 figures
|
Canadian Journal of Physics, Vol. 96, 1209 (2018)
|
10.1139/cjp-2017-0852
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main purpose of the present paper is analyzing magnetic brane solutions
of cubic quasi-topological gravity in the presence of a linear electromagnetic
Maxwell field and a nonlinear electromagnetic Born-Infeld field. We show that
the mentioned magnetic solutions have no curvature singularity and also no
horizons, but we observe that there is a conic geometry with a related deficit
angle. We obtain the metric function and deficit angle and consider their
behavior. We show that the attributes of our solution are dependent on cubic
quasi-topological coefficient and the Gauss-Bonnet parameter.
|
[
{
"created": "Mon, 5 Sep 2016 21:20:50 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2017 10:05:26 GMT",
"version": "v2"
}
] |
2019-01-23
|
[
[
"Ghanaatian",
"M.",
""
],
[
"Bazrafshan",
"A.",
""
],
[
"Taghipoor",
"S.",
""
],
[
"Tawoosi",
"R.",
""
]
] |
The main purpose of the present paper is analyzing magnetic brane solutions of cubic quasi-topological gravity in the presence of a linear electromagnetic Maxwell field and a nonlinear electromagnetic Born-Infeld field. We show that the mentioned magnetic solutions have no curvature singularity and also no horizons, but we observe that there is a conic geometry with a related deficit angle. We obtain the metric function and deficit angle and consider their behavior. We show that the attributes of our solution are dependent on cubic quasi-topological coefficient and the Gauss-Bonnet parameter.
|
hep-th/9512070
|
Luca Lusanna. Sez. Di Firenze.
|
Luca Lusanna (Sezione INFN di Firenze)
|
N- and 1-time Classical Description of N-body Relativistic Kinematics
and the Electromagnetic Interaction
| null |
Int.J.Mod.Phys.A12:645-722,1997
|
10.1142/S0217751X9700058X
| null |
hep-th
| null |
The intrinsic covariant 1-time description (rest-frame instant form) for N
relativistic scalar particles is defined. The system of N charged scalar
particles plus the electromagnetic field is described in this way: the study of
its Dirac observables allows the extraction of the Coulomb potential from field
theory and the regularization of the classical self-energy by using
Grassmann-valued electric charges. The 1-time covariant relativistic
statistical mechanics is defined.
|
[
{
"created": "Mon, 11 Dec 1995 16:08:37 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Lusanna",
"Luca",
"",
"Sezione INFN di Firenze"
]
] |
The intrinsic covariant 1-time description (rest-frame instant form) for N relativistic scalar particles is defined. The system of N charged scalar particles plus the electromagnetic field is described in this way: the study of its Dirac observables allows the extraction of the Coulomb potential from field theory and the regularization of the classical self-energy by using Grassmann-valued electric charges. The 1-time covariant relativistic statistical mechanics is defined.
|
1909.13347
|
Jesse Cresswell
|
Jesse C. Cresswell
|
Quantum Information Approaches to Quantum Gravity
|
PhD Thesis, contains previously published papers and additional work,
135 pages
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis we apply techniques from quantum information theory to study
quantum gravity within the framework of the anti-de Sitter / conformal field
theory correspondence (AdS/CFT). Through AdS/CFT, progress has been made in
understanding the structure of entanglement in quantum field theories, and in
how gravitational physics can emerge from these structures. However, this
understanding is far from complete and will require the development of new
tools to quantify correlations in CFT.
This thesis presents refinements of a duality between operator product
expansion (OPE) blocks in the CFT, giving the contribution of a conformal
family to the OPE, and geodesic integrated fields in AdS which are
diffeomorphism invariant quantities. This duality was originally discovered in
the maximally symmetric setting of pure AdS dual to the CFT ground state. In
less symmetric states the duality must be modified. Working with excited states
within AdS$_3$/CFT$_2$, this thesis shows how the OPE block decomposes into
more fine-grained CFT observables that are dual to AdS fields integrated over
non-minimal geodesics.
Additionally, this thesis contains results on the dynamics of entanglement
measures for general quantum systems. Results are presented for the family of
quantum R\'enyi entropies and entanglement negativity. R\'enyi entropies are
studied for general dynamics by imposing special initial conditions. Around
pure, separable initial states, all R\'enyi entropies grow with the same
timescale at leading, and next-to-leading order. Mathematical tools are
developed for the differentiation of non-analytic matrix functions with respect
to constrained arguments and are used to construct analytic expressions for
derivatives of negativity. We establish bounds on the rate of change of state
distinguishability and the rate of entanglement growth for closed systems.
Note: Abstract shortened.
|
[
{
"created": "Sun, 29 Sep 2019 19:24:59 GMT",
"version": "v1"
}
] |
2019-10-01
|
[
[
"Cresswell",
"Jesse C.",
""
]
] |
In this thesis we apply techniques from quantum information theory to study quantum gravity within the framework of the anti-de Sitter / conformal field theory correspondence (AdS/CFT). Through AdS/CFT, progress has been made in understanding the structure of entanglement in quantum field theories, and in how gravitational physics can emerge from these structures. However, this understanding is far from complete and will require the development of new tools to quantify correlations in CFT. This thesis presents refinements of a duality between operator product expansion (OPE) blocks in the CFT, giving the contribution of a conformal family to the OPE, and geodesic integrated fields in AdS which are diffeomorphism invariant quantities. This duality was originally discovered in the maximally symmetric setting of pure AdS dual to the CFT ground state. In less symmetric states the duality must be modified. Working with excited states within AdS$_3$/CFT$_2$, this thesis shows how the OPE block decomposes into more fine-grained CFT observables that are dual to AdS fields integrated over non-minimal geodesics. Additionally, this thesis contains results on the dynamics of entanglement measures for general quantum systems. Results are presented for the family of quantum R\'enyi entropies and entanglement negativity. R\'enyi entropies are studied for general dynamics by imposing special initial conditions. Around pure, separable initial states, all R\'enyi entropies grow with the same timescale at leading, and next-to-leading order. Mathematical tools are developed for the differentiation of non-analytic matrix functions with respect to constrained arguments and are used to construct analytic expressions for derivatives of negativity. We establish bounds on the rate of change of state distinguishability and the rate of entanglement growth for closed systems. Note: Abstract shortened.
|
2312.16131
|
Aldo Vera
|
Gonzalo Barriga, Mat\'ias Torres, Aldo Vera
|
Exact modulated hadronic tubes and layers at finite volume in a cloud of
$\pi$ and $\omega$ mesons
|
12 pages, 3 figures
| null | null | null |
hep-th nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct topological soliton solutions describing baryonic tubes and
layers with modulation in the $SU(2)$ non-linear sigma model coupled with
$\omega$-mesons in $3+1$ dimensions. Using appropriate As\"antze for the pionic
matter field and the $\omega$-mesons vector potential, the complete set of
seven coupled partial differential equations can be solved analytically. These
solutions represent modulated tubes and layers at finite volume with arbitrary
baryon number, where the modulation of the solitons in one direction is
determined by one of the three degrees of freedom of the pionic field,
satisfying the equation of a two-dimensional free massless chiral scalar field.
As expected, the inclusion of the $\omega$-mesons to the Non-linear sigma model
allows to reduce the repulsion energy between baryons, which leads to a
flattening of the tubes and layers in one direction, forming a kind of
``nuclear linguine phase''. Also, we show that this construction can be carried
out even when higher order terms in the large $N_c$ expansion are included --
in particular the Skyrme term -- without spoiling the integrability of the
field equations.
|
[
{
"created": "Tue, 26 Dec 2023 17:34:02 GMT",
"version": "v1"
}
] |
2023-12-27
|
[
[
"Barriga",
"Gonzalo",
""
],
[
"Torres",
"Matías",
""
],
[
"Vera",
"Aldo",
""
]
] |
We construct topological soliton solutions describing baryonic tubes and layers with modulation in the $SU(2)$ non-linear sigma model coupled with $\omega$-mesons in $3+1$ dimensions. Using appropriate As\"antze for the pionic matter field and the $\omega$-mesons vector potential, the complete set of seven coupled partial differential equations can be solved analytically. These solutions represent modulated tubes and layers at finite volume with arbitrary baryon number, where the modulation of the solitons in one direction is determined by one of the three degrees of freedom of the pionic field, satisfying the equation of a two-dimensional free massless chiral scalar field. As expected, the inclusion of the $\omega$-mesons to the Non-linear sigma model allows to reduce the repulsion energy between baryons, which leads to a flattening of the tubes and layers in one direction, forming a kind of ``nuclear linguine phase''. Also, we show that this construction can be carried out even when higher order terms in the large $N_c$ expansion are included -- in particular the Skyrme term -- without spoiling the integrability of the field equations.
|
hep-th/9403039
| null |
A. Liguori and M. Mintchev
|
Fock Representations of Quantum Fields with Generalized Statistic
|
26 pages, TeX
|
Commun.Math.Phys.169:635-652,1995
|
10.1007/BF02099316
| null |
hep-th
| null |
We develop a rigorous framework for constructing Fock representations of
quantum fields obeying generalized statistics associated with certain solutions
of the spectral quantum Yang-Baxter equation. The main features of these
representations are investigated. Various aspects of the underlying
mathematical structure are illustrated by means of explicit examples.
|
[
{
"created": "Mon, 7 Mar 1994 12:55:38 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Liguori",
"A.",
""
],
[
"Mintchev",
"M.",
""
]
] |
We develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these representations are investigated. Various aspects of the underlying mathematical structure are illustrated by means of explicit examples.
|
1807.00656
|
Alan McKane
|
Alan J McKane
|
Perturbation expansions at large order: Results for scalar field
theories revisited
|
14 pages
|
J. Phys. A 52, 055401 (2019)
|
10.1088/1751-8121/aaf768
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The question of the asymptotic form of the perturbation expansion in scalar
field theories is reconsidered. Renewed interest in the computation of terms in
the epsilon-expansion, used to calculate critical exponents, has been
frustrated by the differing and incompatible results for the high-order
behaviour of the perturbation expansion reported in the literature. We identify
the sources of the errors made in earlier papers, correct them, and obtain a
consistent set of results. We focus on phi^4 theory, since this has been the
most studied and is the most widely used, but we also briefly discuss analogous
results for phi^N theory, with N>4. This reexamination of the structure of
perturbation expansions raises issues concerning the renormalisation of
non-perturbative effects and the nature of the Feynman diagrams at large order,
which we discuss.
|
[
{
"created": "Mon, 2 Jul 2018 13:33:22 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2019 20:51:44 GMT",
"version": "v2"
}
] |
2019-01-30
|
[
[
"McKane",
"Alan J",
""
]
] |
The question of the asymptotic form of the perturbation expansion in scalar field theories is reconsidered. Renewed interest in the computation of terms in the epsilon-expansion, used to calculate critical exponents, has been frustrated by the differing and incompatible results for the high-order behaviour of the perturbation expansion reported in the literature. We identify the sources of the errors made in earlier papers, correct them, and obtain a consistent set of results. We focus on phi^4 theory, since this has been the most studied and is the most widely used, but we also briefly discuss analogous results for phi^N theory, with N>4. This reexamination of the structure of perturbation expansions raises issues concerning the renormalisation of non-perturbative effects and the nature of the Feynman diagrams at large order, which we discuss.
|
2008.08655
|
Patrick Concha
|
Patrick Concha, Lucrezia Ravera, Evelyn Rodr\'iguez
|
Three-dimensional non-relativistic extended supergravity with
cosmological constant
|
34 pages
|
Eur. Phys. J C 80 (2020) 1105
|
10.1140/epjc/s10052-020-08685-2
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we present novel non-relativistic superalgebras which
correspond to supersymmetric extensions of the enlarged extended Bargmann
algebra. The three-dimensional non-relativistic Chern-Simons supergravity
actions invariant under the aforementioned superalgebras are constructed. The
new non-relativistic superalgebras allow to accommodate a cosmological constant
in a non-relativistic supergravity theory. Interestingly, we show that one of
the non-relativistic supergravity theories presented here leads to the recently
introduced Maxwellian exotic Bargmann supergravity when the flat limit $\ell
\rightarrow\infty$ is considered. Besides, we show that both descriptions can
be written in terms of a supersymmetric extension of the Nappi-Witten algebra
or the extended Newton-Hooke superalgebra.
|
[
{
"created": "Wed, 19 Aug 2020 20:05:50 GMT",
"version": "v1"
}
] |
2021-02-23
|
[
[
"Concha",
"Patrick",
""
],
[
"Ravera",
"Lucrezia",
""
],
[
"Rodríguez",
"Evelyn",
""
]
] |
In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under the aforementioned superalgebras are constructed. The new non-relativistic superalgebras allow to accommodate a cosmological constant in a non-relativistic supergravity theory. Interestingly, we show that one of the non-relativistic supergravity theories presented here leads to the recently introduced Maxwellian exotic Bargmann supergravity when the flat limit $\ell \rightarrow\infty$ is considered. Besides, we show that both descriptions can be written in terms of a supersymmetric extension of the Nappi-Witten algebra or the extended Newton-Hooke superalgebra.
|
hep-th/0512161
|
Partha Mukhopadhyay
|
Partha Mukhopadhyay
|
DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
|
37 pages, typos corrected, some organisational changes made
|
JHEP 0605:055,2006
|
10.1088/1126-6708/2006/05/055
|
DAMTP-2005-128
|
hep-th
| null |
Open string boundary conditions for non-BPS D-branes in type II string
theories discussed in hep-th/0505157 give rise to two sectors with integer (R
sector) and half-integer (NS sector) modes for the combined fermionic matter
and bosonic ghost variables in pure spinor formalism. Exploiting the manifest
supersymmetry of the formalism we explicitly construct the DDF (Del Giudice, Di
Vecchia, Fubini) states in both the sectors which are in one-to-one
correspondence with the states in light-cone Green-Schwarz formalism. We also
give a proof of validity of this construction. A similar construction in the
closed string sector enables us to define a physical Hilbert space in pure
spinor formalism which is used to project the covariant boundary states of both
the BPS and non-BPS instantonic D-branes. These projected boundary states take
exactly the same form as those found in light-cone Green-Schwarz formalism and
are suitable for computing the cylinder diagram with manifest open-closed
duality.
|
[
{
"created": "Wed, 14 Dec 2005 13:36:52 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2006 13:07:06 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Mukhopadhyay",
"Partha",
""
]
] |
Open string boundary conditions for non-BPS D-branes in type II string theories discussed in hep-th/0505157 give rise to two sectors with integer (R sector) and half-integer (NS sector) modes for the combined fermionic matter and bosonic ghost variables in pure spinor formalism. Exploiting the manifest supersymmetry of the formalism we explicitly construct the DDF (Del Giudice, Di Vecchia, Fubini) states in both the sectors which are in one-to-one correspondence with the states in light-cone Green-Schwarz formalism. We also give a proof of validity of this construction. A similar construction in the closed string sector enables us to define a physical Hilbert space in pure spinor formalism which is used to project the covariant boundary states of both the BPS and non-BPS instantonic D-branes. These projected boundary states take exactly the same form as those found in light-cone Green-Schwarz formalism and are suitable for computing the cylinder diagram with manifest open-closed duality.
|
1612.08015
|
Filip Petrasek
|
Filip Petrasek, Ladislav Hlavaty, Ivo Petr
|
Plane-parallel waves as duals of the flat background II: T-duality with
spectators
|
34 pages
|
Class. Quantum Grav. 34 (2017) 155003
|
10.1088/1361-6382/aa7908
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give the classification of T-duals of the flat background in four
dimensions with respect to one-, two-, and three-dimensional subgroups of the
Poincar\'e group using non-Abelian T-duality with spectators. As duals we find
backgrounds for sigma models in the form of plane-parallel waves or
diagonalizable curved metrics often with torsion. Among others, we find exactly
solvable time-dependent isotropic pp-wave, singular pp-waves, or generalized
plane wave (K-model).
|
[
{
"created": "Fri, 23 Dec 2016 15:53:12 GMT",
"version": "v1"
},
{
"created": "Wed, 31 May 2017 15:17:49 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Mar 2018 23:26:31 GMT",
"version": "v3"
}
] |
2018-04-03
|
[
[
"Petrasek",
"Filip",
""
],
[
"Hlavaty",
"Ladislav",
""
],
[
"Petr",
"Ivo",
""
]
] |
We give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincar\'e group using non-Abelian T-duality with spectators. As duals we find backgrounds for sigma models in the form of plane-parallel waves or diagonalizable curved metrics often with torsion. Among others, we find exactly solvable time-dependent isotropic pp-wave, singular pp-waves, or generalized plane wave (K-model).
|
2312.01997
|
Byron Droguett
|
Claudio B\'orquez and Byron Droguett
|
Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
|
Minor correction in introduction
|
Eur.Phys.J.C 84, 62 (2024)
|
10.1140/epjc/s10052-024-12420-6
| null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the Casimir effect of a rough membrane within the framework of
the Horava-Lifshitz theory in 2+1 dimensions. Quantum fluctuations are induced
by an anisotropic scalar field subject to Dirichlet boundary conditions. We
implement a coordinate transformation to render the membrane completely flat,
treating the remaining terms associated with roughness as a potential. The
spectrum is obtained through perturbation theory and regularized using the
$\zeta$--function method. We present an explicit example of a membrane with
periodic border. Additionally, we consider the effect of temperature. Our
findings reveal that the Casimir energy and force depend on roughness, the
anisotropic scaling factor and temperature.
|
[
{
"created": "Mon, 4 Dec 2023 16:20:23 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2024 15:02:18 GMT",
"version": "v2"
}
] |
2024-01-26
|
[
[
"Bórquez",
"Claudio",
""
],
[
"Droguett",
"Byron",
""
]
] |
We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory in 2+1 dimensions. Quantum fluctuations are induced by an anisotropic scalar field subject to Dirichlet boundary conditions. We implement a coordinate transformation to render the membrane completely flat, treating the remaining terms associated with roughness as a potential. The spectrum is obtained through perturbation theory and regularized using the $\zeta$--function method. We present an explicit example of a membrane with periodic border. Additionally, we consider the effect of temperature. Our findings reveal that the Casimir energy and force depend on roughness, the anisotropic scaling factor and temperature.
|
1508.04496
|
Andreas Gustavsson
|
Dongsu Bak, Andreas Gustavsson
|
Partially twisted superconformal M5 brane in R-symmetry gauge field
backgrounds
|
31 pages, a discussion on unitarity is added
| null |
10.1007/JHEP12(2015)093
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the action for a curved superconformal abelian M5 brane with the
background R-symmetry gauge field turned on. We then restrict ourselves to
superconformal M5 brane on a sphere times flat Minkowski space. We choose
R-symmetry SO(1,4) instead of SO(5), which enables us to partially twist on
Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5
brane actions on $M_{1,1} \times S^4$ and $M_{1,2} \times S^3$ where actions
and all fields, including the background gauge field, are real. Dimensional
reduction along time gives real 5d SYM actions with nonabelian generalizations.
|
[
{
"created": "Wed, 19 Aug 2015 01:19:43 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 2015 23:55:39 GMT",
"version": "v2"
}
] |
2016-01-27
|
[
[
"Bak",
"Dongsu",
""
],
[
"Gustavsson",
"Andreas",
""
]
] |
We obtain the action for a curved superconformal abelian M5 brane with the background R-symmetry gauge field turned on. We then restrict ourselves to superconformal M5 brane on a sphere times flat Minkowski space. We choose R-symmetry SO(1,4) instead of SO(5), which enables us to partially twist on Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5 brane actions on $M_{1,1} \times S^4$ and $M_{1,2} \times S^3$ where actions and all fields, including the background gauge field, are real. Dimensional reduction along time gives real 5d SYM actions with nonabelian generalizations.
|
2204.01783
|
Christian Saemann
|
Hyungrok Kim and Christian Saemann
|
Non-Geometric T-Duality as Higher Groupoid Bundles with Connections
|
61 pages
| null | null |
EMPG-22-05
|
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We describe T-duality between general geometric and non-geometric backgrounds
as higher groupoid bundles with connections. Our description extends the
previous observation by Nikolaus and Waldorf that the topological aspects of
geometric and half-geometric T-dualities can be described in terms of higher
geometry. We extend their construction in two ways. First, we endow the higher
geometries with adjusted connections, which allow us to discuss explicit
formulas for the metric and the Kalb-Ramond field of a T-background. Second, we
extend the principal 2-bundles to augmented 2-groupoid bundles, which
accommodate the scalar fields arising in T-duality along several directions as
well as $Q$- and $R$-fluxes. Our description is manifestly covariant under the
full T-duality group $\mathsf{GO}(n,n;\mathbb{Z})$, and it has interesting
physical and mathematical implications.
|
[
{
"created": "Mon, 4 Apr 2022 18:27:05 GMT",
"version": "v1"
}
] |
2022-04-06
|
[
[
"Kim",
"Hyungrok",
""
],
[
"Saemann",
"Christian",
""
]
] |
We describe T-duality between general geometric and non-geometric backgrounds as higher groupoid bundles with connections. Our description extends the previous observation by Nikolaus and Waldorf that the topological aspects of geometric and half-geometric T-dualities can be described in terms of higher geometry. We extend their construction in two ways. First, we endow the higher geometries with adjusted connections, which allow us to discuss explicit formulas for the metric and the Kalb-Ramond field of a T-background. Second, we extend the principal 2-bundles to augmented 2-groupoid bundles, which accommodate the scalar fields arising in T-duality along several directions as well as $Q$- and $R$-fluxes. Our description is manifestly covariant under the full T-duality group $\mathsf{GO}(n,n;\mathbb{Z})$, and it has interesting physical and mathematical implications.
|
2206.08348
|
Juan Miguel Nieto Garc\'ia
|
Juan Miguel Nieto Garc\'ia
|
Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond
$K=1$
|
26 pages; v2, typos corrected
| null | null |
DMUS-MP-22/07
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the classification of the Jordan chains of the eclectic three
state spin chain that we started in our previous article. Following the same
steps, we construct the generalised eigenvectors of this spin chain by
computing the strongly twisted limit of linear combinations of eigenvectors of
a twisted XXX $SU(3)$ spin chain. We show that this classification problem can
be mapped to the computation of the number of positive integer solutions of a
system of linear equations.
|
[
{
"created": "Thu, 16 Jun 2022 17:51:21 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2022 10:14:17 GMT",
"version": "v2"
}
] |
2022-06-23
|
[
[
"García",
"Juan Miguel Nieto",
""
]
] |
We continue the classification of the Jordan chains of the eclectic three state spin chain that we started in our previous article. Following the same steps, we construct the generalised eigenvectors of this spin chain by computing the strongly twisted limit of linear combinations of eigenvectors of a twisted XXX $SU(3)$ spin chain. We show that this classification problem can be mapped to the computation of the number of positive integer solutions of a system of linear equations.
|
1910.06055
|
Wen-Yu Wen
|
Wen-Yu Wen
|
Hawking Radiation As Stimulated Emission
|
15 pages, 3 figures, revtex4
| null |
10.1016/j.physletb.2020.135348
|
CYCU-HEP-19-07
|
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We regard the Parikh-Wilczek's tunnelling model of Hawking radiation as a
quantum mechanical process of stimulated emission. The hypothesized microstates
are found at the horizon with double degeneracy. A Jaynes-Cummings toy model
for a black hole in the cavity is proposed to demonstrate how to write a qubit
via the angular-dependent transition coupling, which might be related to the
soft Goldstone hairs at analytic continuation. At last, we show how information
is retained in the black hole by computing the time evolution of mutual
entanglement entropy in the cavity-black holes system.
|
[
{
"created": "Mon, 14 Oct 2019 11:50:52 GMT",
"version": "v1"
}
] |
2020-03-11
|
[
[
"Wen",
"Wen-Yu",
""
]
] |
We regard the Parikh-Wilczek's tunnelling model of Hawking radiation as a quantum mechanical process of stimulated emission. The hypothesized microstates are found at the horizon with double degeneracy. A Jaynes-Cummings toy model for a black hole in the cavity is proposed to demonstrate how to write a qubit via the angular-dependent transition coupling, which might be related to the soft Goldstone hairs at analytic continuation. At last, we show how information is retained in the black hole by computing the time evolution of mutual entanglement entropy in the cavity-black holes system.
|
hep-th/9709144
|
Alexandre Grezzi de Miranda Schmidt
|
Alfredo T. Suzuki and Alexandre G.M. Schmidt
|
Two-loop self-energy diagrams worked out with NDIM
|
LaTeX, 10 pages, 2 figures, styles included
|
Eur.Phys.J.C5:175-179,1998
|
10.1007/s100520050259
| null |
hep-th
| null |
In this work we calculate two two-loop massless Feynman integrals pertaining
to self-energy diagrams using NDIM (Negative Dimensional Integration Method).
We show that the answer we get is 36-fold degenerate. We then consider special
cases of exponents for propagators and the outcoming results compared with
known ones obtained via traditional methods.
|
[
{
"created": "Fri, 19 Sep 1997 13:15:17 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Suzuki",
"Alfredo T.",
""
],
[
"Schmidt",
"Alexandre G. M.",
""
]
] |
In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams using NDIM (Negative Dimensional Integration Method). We show that the answer we get is 36-fold degenerate. We then consider special cases of exponents for propagators and the outcoming results compared with known ones obtained via traditional methods.
|
hep-th/0312086
|
Kluson Josef
|
J. Kluson
|
D-Brane Effective Actions and Particle Production near the Beginning of
the Tachyon Condensation
|
21 pages
|
JHEP 0401 (2004) 019
|
10.1088/1126-6708/2004/01/019
| null |
hep-th
| null |
In this paper we will study the quantum field theory of fluctuation modes
around the classical solution that describes tachyon condensation on unstable
D-brane.We will calculate the number of particle produced near the beginning of
the rolling tachyon process. We will perform this calculation for different
tachyon effective actions and we will find that the rate of the particle
production strongly depends on the form of the effective action used for the
description of the early stage of the tachyon condensation.
|
[
{
"created": "Tue, 9 Dec 2003 13:51:34 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we will study the quantum field theory of fluctuation modes around the classical solution that describes tachyon condensation on unstable D-brane.We will calculate the number of particle produced near the beginning of the rolling tachyon process. We will perform this calculation for different tachyon effective actions and we will find that the rate of the particle production strongly depends on the form of the effective action used for the description of the early stage of the tachyon condensation.
|
hep-th/0209177
|
John Klauder
|
John R. Klauder
|
Overcoming Nonrenormalizability
|
15 pages, Version to appear in Letters in Mathematical Physics
|
Lett.Math.Phys. 63 (2003) 229-239
| null | null |
hep-th gr-qc math-ph math.MP quant-ph
| null |
A suitable counterterm for a Euclidean space lattice version of \phi^4_n
theories, n\ge 4, is combined with several additional procedures so that in the
continuum limit the resultant quantum field theory is nontrivial. Arguments to
support this unconventional choice are presented.
|
[
{
"created": "Fri, 20 Sep 2002 20:25:39 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2002 13:34:50 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Dec 2002 16:27:49 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Mar 2003 15:41:44 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Klauder",
"John R.",
""
]
] |
A suitable counterterm for a Euclidean space lattice version of \phi^4_n theories, n\ge 4, is combined with several additional procedures so that in the continuum limit the resultant quantum field theory is nontrivial. Arguments to support this unconventional choice are presented.
|
2304.05786
|
Alexander S\"oderberg Rousu
|
Alexander S\"oderberg Rousu
|
The CW mechanism in a semi-definite system
|
26 pages, 4 figures
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the $\phi^6 - \hat{\phi}^4$ model with $O(N)$-symmetry near three
dimensions. This model has a sextic bulk-interaction and a quartic
boundary-interaction. The bulk two-point correlator is found upto two-loops by
solving the equation of motion and applying the boundary conditions. Finally we
apply the Coleman-Weinberg mechanism to this model, which allows us to flow
along the renormalization group to a first-ordered phase transition. At
one-loop order only the boundary receives a non-trivial effective potential,
giving the scalar on the boundary a vacuum expecation value. However, due to
the boundary operator product expansion, the bulk one-point function is
non-zero as well. This leads to a spontaneous symmetry breaking of the original
$O(N)$-symmetry.
|
[
{
"created": "Wed, 12 Apr 2023 11:56:40 GMT",
"version": "v1"
}
] |
2023-04-13
|
[
[
"Rousu",
"Alexander Söderberg",
""
]
] |
We study the $\phi^6 - \hat{\phi}^4$ model with $O(N)$-symmetry near three dimensions. This model has a sextic bulk-interaction and a quartic boundary-interaction. The bulk two-point correlator is found upto two-loops by solving the equation of motion and applying the boundary conditions. Finally we apply the Coleman-Weinberg mechanism to this model, which allows us to flow along the renormalization group to a first-ordered phase transition. At one-loop order only the boundary receives a non-trivial effective potential, giving the scalar on the boundary a vacuum expecation value. However, due to the boundary operator product expansion, the bulk one-point function is non-zero as well. This leads to a spontaneous symmetry breaking of the original $O(N)$-symmetry.
|
1701.02222
|
Sergey Leble
|
Sergey Leble
|
1+1-dimensional Yang-Mills equations and mass via quasiclassical
correction to action
|
20 pages, NEEDS 2015 Workshop, 24-31 May 2015, Santa Margherita di
Pula (Cagliari) - Sardinia, Italy
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-dimensional Yang-Mills models in a pseudo-euclidean space are considered
from a point of view of a class of nonlinear Klein-Gordon-Fock equations. It is
shown that the Nahm reduction does not work, another choice is proposed and
investigated. A quasiclassical quantization of the models is based on
Feynmann-Maslov path integral construction and its zeta function representation
in terms of a Green function diagonal for an auxiliary heat equation with an
elliptic potential. The natural renormalization use a freedom in vacuum state
choice as well as the choice of the norm of an evolution operator eigenvectors.
A nonzero mass appears via the quasiclassical correction.
|
[
{
"created": "Wed, 7 Dec 2016 22:06:34 GMT",
"version": "v1"
}
] |
2017-01-10
|
[
[
"Leble",
"Sergey",
""
]
] |
Two-dimensional Yang-Mills models in a pseudo-euclidean space are considered from a point of view of a class of nonlinear Klein-Gordon-Fock equations. It is shown that the Nahm reduction does not work, another choice is proposed and investigated. A quasiclassical quantization of the models is based on Feynmann-Maslov path integral construction and its zeta function representation in terms of a Green function diagonal for an auxiliary heat equation with an elliptic potential. The natural renormalization use a freedom in vacuum state choice as well as the choice of the norm of an evolution operator eigenvectors. A nonzero mass appears via the quasiclassical correction.
|
1902.08209
|
Daniel Junghans
|
Niccol\`o Cribiori and Daniel Junghans
|
No classical (anti-)de Sitter solutions with O8-planes
|
6 pages, 2 figures. v2: minor changes. v3: corrected mistake in
section IV.a
| null |
10.1016/j.physletb.2019.04.030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was recently proposed that type IIA string theory may allow classical de
Sitter solutions with O8-planes as the only localized sources. We show that
such solutions are incompatible with the integrated supergravity equations of
motion, analogously to the no-go theorem due to Maldacena and Nu\~{n}ez. We
also discuss in detail divergences and discontinuities at the O8-plane
positions and argue that they do not invalidate such an argument. We
furthermore show that a recently proposed class of non-supersymmetric AdS
solutions with O8-planes is in contrast with our results as well.
|
[
{
"created": "Thu, 21 Feb 2019 19:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Apr 2019 15:09:05 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2020 10:41:02 GMT",
"version": "v3"
}
] |
2020-04-22
|
[
[
"Cribiori",
"Niccolò",
""
],
[
"Junghans",
"Daniel",
""
]
] |
It was recently proposed that type IIA string theory may allow classical de Sitter solutions with O8-planes as the only localized sources. We show that such solutions are incompatible with the integrated supergravity equations of motion, analogously to the no-go theorem due to Maldacena and Nu\~{n}ez. We also discuss in detail divergences and discontinuities at the O8-plane positions and argue that they do not invalidate such an argument. We furthermore show that a recently proposed class of non-supersymmetric AdS solutions with O8-planes is in contrast with our results as well.
|
hep-th/0111232
|
Vikram Vyas
|
Vikram Vyas
|
Chiral Symmetry and Meson Vertex Operators in QCD Strings
|
12 Pages, LaTex. v2: Title changed, an additional result and expanded
discussion, an error corrected and a reference added
| null | null | null |
hep-th
| null |
The worldline representation of the one loop fermionic effective action is
used to obtain the vertex operator for the pion and the sigma in QCD strings.
The vertex operator of the scalar sigma is distinguished from that of the
pseudo-scalar pion by the presence of an additional operator m V_{0} where m is
the current quark mass and V_{0} is a vertex operator that would describe a
tachyon in the open bosonic string theory. This leads to a relation between the
sigma propagator and the pion propagator, when chiral symmetry is spontaneously
broken this relation implies that the propagator constructed from V_{0} must
behave like a massless ghost state. The presence of this state ensures that the
sigma is massive and no longer degenerate with the pion. The expectation value
of V_{0} in a string description is related to the vacuum expectation value of
the chiral condensate in QCD. Our analysis emphasizes the need for boundary
fermions in any string representation of mesons and is suggestive of world
sheet supersymmetry.
|
[
{
"created": "Mon, 26 Nov 2001 11:44:00 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2002 21:14:58 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Vyas",
"Vikram",
""
]
] |
The worldline representation of the one loop fermionic effective action is used to obtain the vertex operator for the pion and the sigma in QCD strings. The vertex operator of the scalar sigma is distinguished from that of the pseudo-scalar pion by the presence of an additional operator m V_{0} where m is the current quark mass and V_{0} is a vertex operator that would describe a tachyon in the open bosonic string theory. This leads to a relation between the sigma propagator and the pion propagator, when chiral symmetry is spontaneously broken this relation implies that the propagator constructed from V_{0} must behave like a massless ghost state. The presence of this state ensures that the sigma is massive and no longer degenerate with the pion. The expectation value of V_{0} in a string description is related to the vacuum expectation value of the chiral condensate in QCD. Our analysis emphasizes the need for boundary fermions in any string representation of mesons and is suggestive of world sheet supersymmetry.
|
hep-th/9212065
|
Marco Tarlini
|
Anatol Nowicki, Emanuele Sorace and Marco Tarlini
|
The Quantum Deformed Dirac Equation from the k-Poincare` Algebra
|
6 pages, Latex
|
Phys.Lett. B302 (1993) 419-422
|
10.1016/0370-2693(93)90419-I
| null |
hep-th
| null |
In this letter we derive a deformed Dirac equation invariant under the
k-Poincare` quantum algebra. A peculiar feature is that the square of the
k-Dirac operator is related to the second Casimir (the k-deformed squared
Pauli-Lubanski vector). The ``spinorial'' realization of the k-Poincare` is
obtained by a contraction of the coproduct of the real form of SO_q(3,2) using
the 4-dimensional representation which results to be, up some scalar factors,
the same of the undeformed algebra in terms of the usual gamma matrices.
|
[
{
"created": "Thu, 10 Dec 1992 14:01:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Nowicki",
"Anatol",
""
],
[
"Sorace",
"Emanuele",
""
],
[
"Tarlini",
"Marco",
""
]
] |
In this letter we derive a deformed Dirac equation invariant under the k-Poincare` quantum algebra. A peculiar feature is that the square of the k-Dirac operator is related to the second Casimir (the k-deformed squared Pauli-Lubanski vector). The ``spinorial'' realization of the k-Poincare` is obtained by a contraction of the coproduct of the real form of SO_q(3,2) using the 4-dimensional representation which results to be, up some scalar factors, the same of the undeformed algebra in terms of the usual gamma matrices.
|
1303.0291
|
Arjun Bagchi
|
Arjun Bagchi
|
Tensionless Strings and Galilean Conformal Algebra
|
17 pages; v2: minor corrections and improvements. References updated
|
JHEP 05 (2013) 141
|
10.1007/JHEP05(2013)141
|
MIT-CTP-4445, EMPG-13-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find an intriguing link between the symmetries of the tensionless limit of
closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA).
2d GCA has been discussed in the context of the non-relativistic limit of
AdS/CFT and more recently in flat-space holography as the proposed symmetry
algebra of the field theory dual to 3d Minkowski spacetimes. It is best
understood as a contraction of two copies of the Virasoro algebra. In this
note, we link this to the tensionless limit of bosonic closed string theory. We
show how it emerges naturally as a contraction of the residual gauge symmetries
of the tensile string in the conformal gauge. We also discuss a possible "dual"
interpretation in terms of a point-particle like limit.
|
[
{
"created": "Fri, 1 Mar 2013 21:00:09 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2013 16:29:21 GMT",
"version": "v2"
}
] |
2013-06-11
|
[
[
"Bagchi",
"Arjun",
""
]
] |
We find an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been discussed in the context of the non-relativistic limit of AdS/CFT and more recently in flat-space holography as the proposed symmetry algebra of the field theory dual to 3d Minkowski spacetimes. It is best understood as a contraction of two copies of the Virasoro algebra. In this note, we link this to the tensionless limit of bosonic closed string theory. We show how it emerges naturally as a contraction of the residual gauge symmetries of the tensile string in the conformal gauge. We also discuss a possible "dual" interpretation in terms of a point-particle like limit.
|
1604.06396
|
John Dixon
|
John Dixon
|
The SSM with Suppressed SUSY Charge
|
19 pages. This version contains a better explanation of why and how
this theory can exist
|
Phys Lett.B 761 (2016) 253
|
10.1016/j.physletb.2016.07.059
|
JD43
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An earlier paper showed that it is possible to write down new SUSY Actions in
which it is not possible to define a Supersymmetry Charge. SUSY is defined in
these new Actions by the fact that they satisfy Master Equations. The new SUSY
Actions are very easy to write down. One simply takes a Chiral SUSY Action,
coupled to Gauge and other Chiral Multiplets, and even SuperGravity, if
desired. Then one creates a new Action from this by exchanging all or part of
the Scalar Field $S$ for a new Zinn Source $J$, and the corresponding part of
the Zinn Source $\Gamma$ for a new Antighost Field $\eta$. Since the original
Action satisfies a Master Equation, this exchange guarantees that the new
Action will satisfy the new Master Equation. As was shown in the earlier paper,
the new multiplets have fewer bosonic degrees of freedom than fermionic degrees
of freedom. This is possible because they do not have a Supercharge.
The resulting new SSM has no need for Squarks or Sleptons. It does not need
spontaneous breaking of SUSY, so that the cosmological constant problem does
not arise (at least at tree level). It mimics the usual non-supersymmetric
Standard Model very well, and the absence of large flavour changing neutral
currents is natural. There is no need for a hidden sector, or a messenger
sector, or explicit `soft' breaking of SUSY. Spontaneous Gauge Symmetry
Breaking implies the existence of two new very heavy Higgs Bosons with mass
13.4 TeV, slightly smaller than the energy of the LHC at 14 TeV. There is also
a curious set of Gauginos and Higgsinos which have exactly the same masses as
the Higgs and Gauge Bosons. These do not couple to the Quarks and Leptons,
except through the Higgs and Gauge Bosons.
|
[
{
"created": "Thu, 21 Apr 2016 17:45:13 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2016 19:12:05 GMT",
"version": "v2"
},
{
"created": "Mon, 2 May 2016 16:18:41 GMT",
"version": "v3"
},
{
"created": "Wed, 4 May 2016 17:33:05 GMT",
"version": "v4"
},
{
"created": "Thu, 12 May 2016 12:56:20 GMT",
"version": "v5"
},
{
"created": "Wed, 18 May 2016 18:42:54 GMT",
"version": "v6"
}
] |
2024-07-25
|
[
[
"Dixon",
"John",
""
]
] |
An earlier paper showed that it is possible to write down new SUSY Actions in which it is not possible to define a Supersymmetry Charge. SUSY is defined in these new Actions by the fact that they satisfy Master Equations. The new SUSY Actions are very easy to write down. One simply takes a Chiral SUSY Action, coupled to Gauge and other Chiral Multiplets, and even SuperGravity, if desired. Then one creates a new Action from this by exchanging all or part of the Scalar Field $S$ for a new Zinn Source $J$, and the corresponding part of the Zinn Source $\Gamma$ for a new Antighost Field $\eta$. Since the original Action satisfies a Master Equation, this exchange guarantees that the new Action will satisfy the new Master Equation. As was shown in the earlier paper, the new multiplets have fewer bosonic degrees of freedom than fermionic degrees of freedom. This is possible because they do not have a Supercharge. The resulting new SSM has no need for Squarks or Sleptons. It does not need spontaneous breaking of SUSY, so that the cosmological constant problem does not arise (at least at tree level). It mimics the usual non-supersymmetric Standard Model very well, and the absence of large flavour changing neutral currents is natural. There is no need for a hidden sector, or a messenger sector, or explicit `soft' breaking of SUSY. Spontaneous Gauge Symmetry Breaking implies the existence of two new very heavy Higgs Bosons with mass 13.4 TeV, slightly smaller than the energy of the LHC at 14 TeV. There is also a curious set of Gauginos and Higgsinos which have exactly the same masses as the Higgs and Gauge Bosons. These do not couple to the Quarks and Leptons, except through the Higgs and Gauge Bosons.
|
1611.01528
|
Davide Gaiotto
|
Davide Gaiotto
|
Twisted compactifications of 3d N = 4 theories and conformal blocks
|
50 pages. v2: corrected minor typos, updated references
| null | null | null |
hep-th math-ph math.MP math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Three-dimensional N = 4 supersymmetric quantum field theories admit two
topological twists, the Rozansky-Witten twist and its mirror. Either twist can
be used to define a supersymmetric compactification on a Riemann surface and a
corre- sponding space of supersymmetric ground states. These spaces of ground
states can play an interesting role in the Geometric Langlands program. We
propose a description of these spaces as conformal blocks for certain
non-unitary Vertex Operator Algebras and test our conjecture in some important
examples. The two VOAs can be constructed respectively from a UV Lagrangian
description of the N = 4 theory or of its mirror. We further conjecture that
the VOAs associated to an N = 4 SQFT inherit properties of the theory which
only emerge in the IR, such as enhanced global symmetries. Thus knowledge of
the VOAs should allow one to compute the spaces of supersymmetric ground states
for a theory coupled to supersymmetric background connections for the full
symmetry group of the IR SCFT. In particular, we propose a conformal field
theory description of the spaces of ground states for the T[SU(N)] theories.
These theories play a role of S-duality kernel in maximally supersymmetric
SU(N) gauge theory and thus the corresponding spaces of supersymmetric ground
states should provide a kernel for the Geometric Langlands duality for special
unitary groups.
|
[
{
"created": "Fri, 4 Nov 2016 20:39:23 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2018 15:14:37 GMT",
"version": "v2"
}
] |
2018-09-20
|
[
[
"Gaiotto",
"Davide",
""
]
] |
Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre- sponding space of supersymmetric ground states. These spaces of ground states can play an interesting role in the Geometric Langlands program. We propose a description of these spaces as conformal blocks for certain non-unitary Vertex Operator Algebras and test our conjecture in some important examples. The two VOAs can be constructed respectively from a UV Lagrangian description of the N = 4 theory or of its mirror. We further conjecture that the VOAs associated to an N = 4 SQFT inherit properties of the theory which only emerge in the IR, such as enhanced global symmetries. Thus knowledge of the VOAs should allow one to compute the spaces of supersymmetric ground states for a theory coupled to supersymmetric background connections for the full symmetry group of the IR SCFT. In particular, we propose a conformal field theory description of the spaces of ground states for the T[SU(N)] theories. These theories play a role of S-duality kernel in maximally supersymmetric SU(N) gauge theory and thus the corresponding spaces of supersymmetric ground states should provide a kernel for the Geometric Langlands duality for special unitary groups.
|
hep-th/9401081
|
Kareljan Schoutens
|
K. Schoutens, E. Verlinde and H. Verlinde
|
Black Hole Evaporation and Quantum Gravity
|
28 pages, LaTex, uses epsf.tex, CERN-TH.7142/94, PUPT-1441
| null | null | null |
hep-th
| null |
In this note we consider some consequences of quantum gravity on the process
of black hole evaporation. In particular, we will explain the suggestion by 't
Hooft that quantum gravitational interactions effectively exclude simultaneous
measurements of the Hawking radiation and of the matter falling into the black
hole. The complementarity of these measurements is supported by the fact that
the commutators between the corresponding observables can be shown to grow
uncontrollably large. The only assumption that is needed to obtain this result
is that the creation and annihilation modes of the in-falling and out-going
matter act in the same Hilbert space. We further illustrate this phenomenon in
the context of two-dimensional dilaton gravity.
|
[
{
"created": "Tue, 18 Jan 1994 02:37:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schoutens",
"K.",
""
],
[
"Verlinde",
"E.",
""
],
[
"Verlinde",
"H.",
""
]
] |
In this note we consider some consequences of quantum gravity on the process of black hole evaporation. In particular, we will explain the suggestion by 't Hooft that quantum gravitational interactions effectively exclude simultaneous measurements of the Hawking radiation and of the matter falling into the black hole. The complementarity of these measurements is supported by the fact that the commutators between the corresponding observables can be shown to grow uncontrollably large. The only assumption that is needed to obtain this result is that the creation and annihilation modes of the in-falling and out-going matter act in the same Hilbert space. We further illustrate this phenomenon in the context of two-dimensional dilaton gravity.
|
2112.05333
|
Enrico Rinaldi
|
Xizhi Han, Enrico Rinaldi
|
Neural quantum states for supersymmetric quantum gauge theories
|
Presented at the 4th workshop on Machine Learning and the Physical
Sciences (ML4PS) at NeurIPS2021 on December 13th
| null | null |
RIKEN-iTHEMS-Report-21
|
hep-th hep-lat quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Supersymmetric quantum gauge theories are important mathematical tools in
high energy physics. As an example, supersymmetric matrix models can be used as
a holographic description of quantum black holes. The wave function of such
supersymmetric gauge theories is not known and it is challenging to obtain with
traditional techniques. We employ a neural quantum state ansatz for the wave
function of a supersymmetric matrix model and use a variational quantum Monte
Carlo approach to discover the ground state of the system. We discuss the
difficulty of including bosonic particles and fermionic particles, as well as
gauge degrees of freedom.
|
[
{
"created": "Fri, 10 Dec 2021 04:42:51 GMT",
"version": "v1"
}
] |
2021-12-13
|
[
[
"Han",
"Xizhi",
""
],
[
"Rinaldi",
"Enrico",
""
]
] |
Supersymmetric quantum gauge theories are important mathematical tools in high energy physics. As an example, supersymmetric matrix models can be used as a holographic description of quantum black holes. The wave function of such supersymmetric gauge theories is not known and it is challenging to obtain with traditional techniques. We employ a neural quantum state ansatz for the wave function of a supersymmetric matrix model and use a variational quantum Monte Carlo approach to discover the ground state of the system. We discuss the difficulty of including bosonic particles and fermionic particles, as well as gauge degrees of freedom.
|
2204.02378
|
Carlo Heissenberg
|
Paolo Di Vecchia, Carlo Heissenberg, Rodolfo Russo, Gabriele Veneziano
|
The eikonal operator at arbitrary velocities I: the soft-radiation limit
|
28 pages+references
| null | null |
CERN-TH-2022-058, NORDITA 2022-022, QMUL-PH-22-14, UUITP-20/22
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Observables related to the real part of the gravitational eikonal, such as
the deflection angle and time delay, have been found so far to have a smooth
post-Minkowskian (PM) expansion whose validity extends from the
non-relativistic to the most extreme ultra-relativistic (UR) regime, which
smoothly connects with massless particle collisions. To describe gravitational
radiation, the eikonal phase has to be promoted to a unitary operator for which
we motivate a proposal and start discussing properties in the soft-radiation
limit. A convergent PM expansion is found to only hold below an UR bound
(discussed in the GR literature in the seventies) above which a different
expansion is instead needed implying, in general, some non-analyticity in
Newton's constant. In this extreme UR regime soft radiative observables receive
contributions only from gravitons and are therefore universal. This generalises
the pattern discussed in \cite{DiVecchia:2020ymx} beyond the elastic case.
|
[
{
"created": "Tue, 5 Apr 2022 17:36:36 GMT",
"version": "v1"
}
] |
2022-04-06
|
[
[
"Di Vecchia",
"Paolo",
""
],
[
"Heissenberg",
"Carlo",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Veneziano",
"Gabriele",
""
]
] |
Observables related to the real part of the gravitational eikonal, such as the deflection angle and time delay, have been found so far to have a smooth post-Minkowskian (PM) expansion whose validity extends from the non-relativistic to the most extreme ultra-relativistic (UR) regime, which smoothly connects with massless particle collisions. To describe gravitational radiation, the eikonal phase has to be promoted to a unitary operator for which we motivate a proposal and start discussing properties in the soft-radiation limit. A convergent PM expansion is found to only hold below an UR bound (discussed in the GR literature in the seventies) above which a different expansion is instead needed implying, in general, some non-analyticity in Newton's constant. In this extreme UR regime soft radiative observables receive contributions only from gravitons and are therefore universal. This generalises the pattern discussed in \cite{DiVecchia:2020ymx} beyond the elastic case.
|
1410.3478
|
Kevin Goldstein
|
Kevin Goldstein, Vishnu Jejjala, Suresh Nampuri
|
Hot Attractors
|
28 pages, 4 figures, LaTeX; v.2: references added, coffee stains
removed; v.3: footnote added, minor typos corrected
| null |
10.1007/JHEP01(2015)075
|
WITS-CTP-142
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The product of the areas of the event horizon and the Cauchy horizon of a
non-extremal black hole equals the square of the area of the horizon of the
black hole obtained from taking the smooth extremal limit. We establish this
result for a large class of black holes using the second order equations of
motion, black hole thermodynamics, and the attractor mechanism for extremal
black holes. This happens even though the area of each horizon generically
depends on the moduli, which are asymptotic values of scalar fields. The
conformal field theory dual to the BTZ black hole facilitates a microscopic
interpretation of the result. In addition, we demonstrate that certain
quantities which vanish in the extremal case are zero when integrated over the
region between the two horizons. We corroborate these conclusions through an
analysis of known solutions.
|
[
{
"created": "Mon, 13 Oct 2014 20:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 2014 09:26:53 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jan 2015 18:46:54 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Goldstein",
"Kevin",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Nampuri",
"Suresh",
""
]
] |
The product of the areas of the event horizon and the Cauchy horizon of a non-extremal black hole equals the square of the area of the horizon of the black hole obtained from taking the smooth extremal limit. We establish this result for a large class of black holes using the second order equations of motion, black hole thermodynamics, and the attractor mechanism for extremal black holes. This happens even though the area of each horizon generically depends on the moduli, which are asymptotic values of scalar fields. The conformal field theory dual to the BTZ black hole facilitates a microscopic interpretation of the result. In addition, we demonstrate that certain quantities which vanish in the extremal case are zero when integrated over the region between the two horizons. We corroborate these conclusions through an analysis of known solutions.
|
1507.03061
|
Machiko Hatsuda
|
Machiko Hatsuda, Kiyoshi Kamimura and Warren Siegel
|
Type II chiral affine Lie algebras and string actions in doubled space
|
32 pages. References added
| null |
10.1007/JHEP09(2015)113
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present affine Lie algebras generated by the supercovariant derivatives
and the supersymmetry generators for the left and right moving modes in the
doubled space. Chirality is manifest in our doubled space as well as the
T-duality symmetry. We present gauge invariant bosonic and superstring actions
preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry
where doubled spacetime coordinates are chiral fields. The doubled space
becomes the usual space by dimensional reduction constraints.
|
[
{
"created": "Sat, 11 Jul 2015 03:17:28 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2015 00:07:53 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Hatsuda",
"Machiko",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Siegel",
"Warren",
""
]
] |
We present affine Lie algebras generated by the supercovariant derivatives and the supersymmetry generators for the left and right moving modes in the doubled space. Chirality is manifest in our doubled space as well as the T-duality symmetry. We present gauge invariant bosonic and superstring actions preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry where doubled spacetime coordinates are chiral fields. The doubled space becomes the usual space by dimensional reduction constraints.
|
2003.14083
|
Michele Arzano
|
Michele Arzano
|
Horizon temperature without space-time
|
11 pages, no figures. Talk presented at the Corfu Summer Institute
2019 "School and Workshops on Elementary Particle Physics and Gravity", 31
August - 25 September 2019, Corfu, Greece
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown how the characteristic thermal effects that observers experience
in space-times possessing an event horizon can manifest already in a simple
quantum system with affine symmetry living on the real line. The derivation
presented is essentially group theoretic in nature: a thermal state emerges
naturally when comparing different representations of the group of affine
transformations of the real line. The freedom in the choice of different
notions of translation generators is the key to the Unruh effect "on a line" we
describe.
|
[
{
"created": "Tue, 31 Mar 2020 10:45:02 GMT",
"version": "v1"
}
] |
2020-04-01
|
[
[
"Arzano",
"Michele",
""
]
] |
It is shown how the characteristic thermal effects that observers experience in space-times possessing an event horizon can manifest already in a simple quantum system with affine symmetry living on the real line. The derivation presented is essentially group theoretic in nature: a thermal state emerges naturally when comparing different representations of the group of affine transformations of the real line. The freedom in the choice of different notions of translation generators is the key to the Unruh effect "on a line" we describe.
|
hep-th/9806224
|
Elena Caceres
|
Elena Caceres and Pirjo Pasanen
|
M-Theory Five-brane Wrapped on Curves for Exceptional Groups
|
LaTeX2e, 20 pages, 10 figures;minor modifications, references added,
typos corrected
|
Nucl.Phys. B543 (1999) 572-591
|
10.1016/S0550-3213(98)00873-6
|
UTTG-10-98, UCLA-98-TEP-18
|
hep-th
| null |
We study the M-theory five-brane wrapped around the Seiberg-Witten curves for
pure classical and exceptional groups given by an integrable system.
Generically, the D4-branes arise as cuts that collapse to points after
compactifying the eleventh dimension and going to the semiclassical limit,
producing brane configurations of NS5- and D4-branes with N=2 gauge theories on
the world volume of the four-branes. We study the symmetries of the different
curves to see how orientifold planes are related to the involutions needed to
obtain the distinguished Prym variety of the curve. This explains the
subtleties encountered for the Sp(2n) and SO(2n +1). Using this approach we
investigate the curves for exceptional groups, especially G_2 and E_6, and show
that unlike for classical groups taking the semiclassical ten dimensional limit
does not reduce the cuts to D4-branes. For G_2 we find a genus two quotient
curve that contains the Prym and has the right properties to describe the G_2
field theory, but the involutions are far more complicated than the ones for
classical groups. To realize them in M-theory instead of an orientifold plane
we would need another object, a kind of curved orientifold surface.
|
[
{
"created": "Mon, 29 Jun 1998 02:49:13 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 1998 20:40:26 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Caceres",
"Elena",
""
],
[
"Pasanen",
"Pirjo",
""
]
] |
We study the M-theory five-brane wrapped around the Seiberg-Witten curves for pure classical and exceptional groups given by an integrable system. Generically, the D4-branes arise as cuts that collapse to points after compactifying the eleventh dimension and going to the semiclassical limit, producing brane configurations of NS5- and D4-branes with N=2 gauge theories on the world volume of the four-branes. We study the symmetries of the different curves to see how orientifold planes are related to the involutions needed to obtain the distinguished Prym variety of the curve. This explains the subtleties encountered for the Sp(2n) and SO(2n +1). Using this approach we investigate the curves for exceptional groups, especially G_2 and E_6, and show that unlike for classical groups taking the semiclassical ten dimensional limit does not reduce the cuts to D4-branes. For G_2 we find a genus two quotient curve that contains the Prym and has the right properties to describe the G_2 field theory, but the involutions are far more complicated than the ones for classical groups. To realize them in M-theory instead of an orientifold plane we would need another object, a kind of curved orientifold surface.
|
0812.0367
|
Thorsten Battefeld
|
Diana Battefeld, Thorsten Battefeld
|
Multi-Field Inflation on the Landscape
|
29 pages, 2 figures; v2: slightly extended to match JCAP version
|
JCAP 0903:027,2009
|
10.1088/1475-7516/2009/03/027
| null |
hep-th astro-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine a wide class of multi-field inflationary models based on fields
that decay or stabilize during inflation in a staggered fashion. The fields
driving assisted inflation are on flat, short stretches, before they encounter
a sharp drop; whenever a field encounters such a drop due to its slow roll
evolution, its energy is transferred to other degrees of freedom, i.e.
radiation. The rate at which fields decay is determined dynamically and it is
not a free parameter in this class of models. To compute observables, we
generalize the analytic framework of staggered inflation, allowing for more
general initial conditions and varying potentials. By searching for generic
situations arising on the landscape, we arrive at a setup involving linear or
hilltop potentials and evenly spread out initial field values. This scenario is
not more fine tuned than large-field models, despite the fact that many more
degrees of freedom are involved. Further, the $\eta$-problem can be alleviated.
The additional decrease of the potential energy caused by the decay of fields
provides leading order contribution to observables, such as the scalar and
tensor spectral index or the tensor to scalar ratio, for which we derive
general expressions. We compare the predictions with WMAP5 constraints and find
that hilltop potentials are borderline ruled out at the $2\sigma$-level, while
linear potentials are in excellent agreement with observations. We further
comment on additional sources of gravitational waves and non-Gaussianities that
could serve as a smoking gun for staggered inflation.
|
[
{
"created": "Mon, 1 Dec 2008 21:02:46 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2009 14:48:24 GMT",
"version": "v2"
}
] |
2009-03-27
|
[
[
"Battefeld",
"Diana",
""
],
[
"Battefeld",
"Thorsten",
""
]
] |
We examine a wide class of multi-field inflationary models based on fields that decay or stabilize during inflation in a staggered fashion. The fields driving assisted inflation are on flat, short stretches, before they encounter a sharp drop; whenever a field encounters such a drop due to its slow roll evolution, its energy is transferred to other degrees of freedom, i.e. radiation. The rate at which fields decay is determined dynamically and it is not a free parameter in this class of models. To compute observables, we generalize the analytic framework of staggered inflation, allowing for more general initial conditions and varying potentials. By searching for generic situations arising on the landscape, we arrive at a setup involving linear or hilltop potentials and evenly spread out initial field values. This scenario is not more fine tuned than large-field models, despite the fact that many more degrees of freedom are involved. Further, the $\eta$-problem can be alleviated. The additional decrease of the potential energy caused by the decay of fields provides leading order contribution to observables, such as the scalar and tensor spectral index or the tensor to scalar ratio, for which we derive general expressions. We compare the predictions with WMAP5 constraints and find that hilltop potentials are borderline ruled out at the $2\sigma$-level, while linear potentials are in excellent agreement with observations. We further comment on additional sources of gravitational waves and non-Gaussianities that could serve as a smoking gun for staggered inflation.
|
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