id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2212.05020 | Maxime Tr\'epanier | Carlo Meneghelli, Maxime Tr\'epanier | Bootstrapping string dynamics in the 6d $\mathcal{N} = (2, 0)$ theories | 32 pages, 3 figures; v2: fixed typo in eqn (4.20), minor edits,
published version | JHEP 07 (2023) 165 | 10.1007/JHEP07(2023)165 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present two complementary approaches to calculating the 2-point function
of stress tensors in the presence of a 1/2 BPS surface defect of the 6d
$\mathcal{N} = (2,0)$ theories. First, we use analytical bootstrap techniques
at large $N$ to obtain the first nontrivial correction to this correlator, from
which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the
1/2 BPS plane. Along the way we derive a supersymmetric inversion formula,
obtain the relevant superconformal blocks and check that crossing symmetry is
satisfied. Notably our result features a holomorphic function whose appearance
is related to the chiral algebra construction of Beem, Rastelli and van Rees.
Second, we use that chiral algebra description to obtain exact results for the
BPS sector of the dCFT, valid at any $N$ and for any choice of surface
operator. These results provide a window into the dynamics of strings of the
mysterious 6d theories.
| [
{
"created": "Fri, 9 Dec 2022 18:10:29 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2023 14:03:23 GMT",
"version": "v2"
}
] | 2023-09-12 | [
[
"Meneghelli",
"Carlo",
""
],
[
"Trépanier",
"Maxime",
""
]
] | We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d $\mathcal{N} = (2,0)$ theories. First, we use analytical bootstrap techniques at large $N$ to obtain the first nontrivial correction to this correlator, from which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the 1/2 BPS plane. Along the way we derive a supersymmetric inversion formula, obtain the relevant superconformal blocks and check that crossing symmetry is satisfied. Notably our result features a holomorphic function whose appearance is related to the chiral algebra construction of Beem, Rastelli and van Rees. Second, we use that chiral algebra description to obtain exact results for the BPS sector of the dCFT, valid at any $N$ and for any choice of surface operator. These results provide a window into the dynamics of strings of the mysterious 6d theories. |
2203.04349 | Kai Yan | Kai Yan, Xiaoyuan Zhang | Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory | 9 pages, 4 figures; typo in eq(4) corrected | null | 10.1103/PhysRevLett.129.021602 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An analytic formula is given for the three-point energy correlator (EEEC) at
leading order (LO) in maximally supersymmetric Yang-Mills theory
($\mathcal{N}=4$ sYM). This is the first analytic calculation of a
three-parameter event shape observable, which provides valuable data for
various studies ranging from conformal field theories to jet substructure. The
associated class of functions define a new type of single-valued polylogarithms
characterized by 16 alphabet letters, which manifest a $D_6 \times Z_2$
dihedral symmetry of the event shape. With the unexplored simplicity in the
perturbative structure of EEEC, all kinematic regions including collinear,
squeezed and coplanar limits are now available.
| [
{
"created": "Tue, 8 Mar 2022 19:15:44 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2024 16:05:56 GMT",
"version": "v2"
}
] | 2024-01-18 | [
[
"Yan",
"Kai",
""
],
[
"Zhang",
"Xiaoyuan",
""
]
] | An analytic formula is given for the three-point energy correlator (EEEC) at leading order (LO) in maximally supersymmetric Yang-Mills theory ($\mathcal{N}=4$ sYM). This is the first analytic calculation of a three-parameter event shape observable, which provides valuable data for various studies ranging from conformal field theories to jet substructure. The associated class of functions define a new type of single-valued polylogarithms characterized by 16 alphabet letters, which manifest a $D_6 \times Z_2$ dihedral symmetry of the event shape. With the unexplored simplicity in the perturbative structure of EEEC, all kinematic regions including collinear, squeezed and coplanar limits are now available. |
hep-th/9409023 | Bala | B. Sathiapalan | Proper Time Formalism, Gauge Invariance and the Effects of a Finite
World Sheet Cutoff in String Theory | 24 pages, Latex file. (This is a revised version, to appear in Int.
J. of Mod. Phys. Section 2 has been extensively revised. Minor revisions in
the other sections) | Int.J.Mod.Phys.A10:4501-4520,1995 | 10.1142/S0217751X95002084 | null | hep-th | null | We discuss the issue of going off-shell in the proper time formalism. This is
done by keeping a finite world sheet cutoff. We construct one example of an
off-shell covariant Klein Gordon type interaction. For a suitable choice of the
gauge transformation of the scalar field, gauge invariance is maintained off
mass shell. However at second order in the gauge field interaction, one finds
that (U(1)) gauge invariance is violated due to the finite cutoff.
Interestingly, we find, to lowest order, that by adding a massive mode with
appropriate gauge transformation laws to the sigma model background, one can
restore gauge invariance. The gauge transformation law is found to be
consistent, to the order calculated, with what one expects from the interacting
equation of motion of the massive field. We also extend some previous
discussion on applying the proper time formalism for propagating gauge
particles, to the interacting (i.e. Yang Mills) case.
| [
{
"created": "Sun, 4 Sep 1994 17:53:00 GMT",
"version": "v1"
},
{
"created": "Sun, 14 May 1995 23:21:00 GMT",
"version": "v2"
}
] | 2011-08-17 | [
[
"Sathiapalan",
"B.",
""
]
] | We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein Gordon type interaction. For a suitable choice of the gauge transformation of the scalar field, gauge invariance is maintained off mass shell. However at second order in the gauge field interaction, one finds that (U(1)) gauge invariance is violated due to the finite cutoff. Interestingly, we find, to lowest order, that by adding a massive mode with appropriate gauge transformation laws to the sigma model background, one can restore gauge invariance. The gauge transformation law is found to be consistent, to the order calculated, with what one expects from the interacting equation of motion of the massive field. We also extend some previous discussion on applying the proper time formalism for propagating gauge particles, to the interacting (i.e. Yang Mills) case. |
hep-th/0112247 | Masafumi Shimojo | H. Kataoka and M. Shimojo | SU(3)X SU(2)XU(1) Chiral Models from Intersecting D4-/D5-branes | 6 pages, submitted to Progress Letters | null | 10.1143/PTP.107.1291 | null | hep-th | null | We clarify RR tadpole cancellation conditions for intersecting D4-/D5-branes.
We find all of the D4-brane models which have D=4 three-generation chiral
fermions with the SU(3)XSU(2)XU(1)^n symmetries. For the D5-brane case, we
present a solution to the conditions which gives exactly the matter contents of
standard model with U(1) anomalies.
| [
{
"created": "Fri, 28 Dec 2001 14:06:48 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2002 12:05:38 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2002 03:10:56 GMT",
"version": "v3"
},
{
"created": "Tue, 14 May 2002 06:19:14 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Kataoka",
"H.",
""
],
[
"Shimojo",
"M.",
""
]
] | We clarify RR tadpole cancellation conditions for intersecting D4-/D5-branes. We find all of the D4-brane models which have D=4 three-generation chiral fermions with the SU(3)XSU(2)XU(1)^n symmetries. For the D5-brane case, we present a solution to the conditions which gives exactly the matter contents of standard model with U(1) anomalies. |
1108.5094 | Paul Mansfield | Paul Mansfield | Faraday's Lines of Force as Strings: from Gauss' Law to the Arrow of
Time | 18 pages, some typos corrected and explanations expanded | null | 10.1007/JHEP10(2012)149 | DCPT-11/29 | hep-th physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate classical electromagnetism as the statistical mechanics of
lines of electric flux with dynamics described by the string action in four
dimensions. The retarded solution to Maxwell's equations emerges naturally as
an average over a microcanonical ensemble of these lines of force at high
temperature.
| [
{
"created": "Thu, 25 Aug 2011 14:01:48 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2012 17:37:16 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Mansfield",
"Paul",
""
]
] | We reformulate classical electromagnetism as the statistical mechanics of lines of electric flux with dynamics described by the string action in four dimensions. The retarded solution to Maxwell's equations emerges naturally as an average over a microcanonical ensemble of these lines of force at high temperature. |
1306.2958 | Tatsuma Nishioka | Tatsuma Nishioka and Itamar Yaakov | Supersymmetric Renyi Entropy | 39 pages, 4 figures | null | 10.1007/JHEP10(2013)155 | PUPT-2448 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 3d N>= 2 superconformal field theories on a branched covering of
a three-sphere. The Renyi entropy of a CFT is given by the partition function
on this space, but conical singularities break the supersymmetry preserved in
the bulk. We turn on a compensating R-symmetry gauge field and compute the
partition function using localization. We define a supersymmetric observable,
called the super Renyi entropy, parametrized by a real number q. We show that
the super Renyi entropy is duality invariant and reduces to entanglement
entropy in the q -> 1 limit. We provide some examples.
| [
{
"created": "Wed, 12 Jun 2013 20:00:41 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Nishioka",
"Tatsuma",
""
],
[
"Yaakov",
"Itamar",
""
]
] | We consider 3d N>= 2 superconformal field theories on a branched covering of a three-sphere. The Renyi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the bulk. We turn on a compensating R-symmetry gauge field and compute the partition function using localization. We define a supersymmetric observable, called the super Renyi entropy, parametrized by a real number q. We show that the super Renyi entropy is duality invariant and reduces to entanglement entropy in the q -> 1 limit. We provide some examples. |
hep-th/0601203 | David Mulryne | James E. Lidsey and David J. Mulryne | A graceful entrance to braneworld inflation | null | Phys.Rev. D73 (2006) 083508 | 10.1103/PhysRevD.73.083508 | null | hep-th astro-ph gr-qc | null | Positively-curved, oscillatory universes have recently been shown to have
important consequences for the pre-inflationary dynamics of the early universe.
In particular, they may allow a self-interacting scalar field to climb up its
potential during a very large number of these cycles. The cycles are naturally
broken when the potential reaches a critical value and the universe begins to
inflate, thereby providing a `graceful entrance' to early universe inflation.
We study the dynamics of this behaviour within the context of braneworld
scenarios which exhibit a bounce from a collapsing phase to an expanding one.
The dynamics can be understood by studying a general class of braneworld models
that are sourced by a scalar field with a constant potential. Within this
context, we determine the conditions a given model must satisfy for a graceful
entrance to be possible in principle. We consider the bouncing braneworld model
proposed by Shtanov and Sahni and show that it exhibits the features needed to
realise a graceful entrance to inflation for a wide region of parameter space.
| [
{
"created": "Fri, 27 Jan 2006 17:34:13 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Lidsey",
"James E.",
""
],
[
"Mulryne",
"David J.",
""
]
] | Positively-curved, oscillatory universes have recently been shown to have important consequences for the pre-inflationary dynamics of the early universe. In particular, they may allow a self-interacting scalar field to climb up its potential during a very large number of these cycles. The cycles are naturally broken when the potential reaches a critical value and the universe begins to inflate, thereby providing a `graceful entrance' to early universe inflation. We study the dynamics of this behaviour within the context of braneworld scenarios which exhibit a bounce from a collapsing phase to an expanding one. The dynamics can be understood by studying a general class of braneworld models that are sourced by a scalar field with a constant potential. Within this context, we determine the conditions a given model must satisfy for a graceful entrance to be possible in principle. We consider the bouncing braneworld model proposed by Shtanov and Sahni and show that it exhibits the features needed to realise a graceful entrance to inflation for a wide region of parameter space. |
hep-th/9605166 | Mikhail Volkov | O. Brodbeck, M. Heusler, G. Lavrelashvili N. Straumann and M.S. Volkov | Stability Analysis of New Solutions of the EYM system with Cosmological
Constant | 28 pages, LaTeX, 1 Postscript figure, uses epsf.sty | Phys.Rev. D54 (1996) 7338-7352 | 10.1103/PhysRevD.54.7338 | ZU-TH-14/96 | hep-th | null | We analyze the stability properties of the purely magnetic, static solutions
to the Einstein--Yang--Mills equations with cosmological constant. It is shown
that all three classes of solutions found in a recent study are unstable under
spherical perturbations. Specifically, we argue that the configurations have
$n$ unstable modes in each parity sector, where $n$ is the number of nodes of
the magnetic Yang--Mills amplitude of the background solution. The
``sphaleron--like'' instabilities (odd parity modes) decouple from the
gravitational perturbations. They are obtained from a regular Schr\"odinger
equation after a supersymmetric transformation. The body of the work is devoted
to the fluctuations with even parity. The main difficulty arises because the
Schwarzschild gauge -- which is usually imposed to eliminate the gravitational
perturbations from the Yang--Mills equation -- is not regular for solutions
with compact spatial topology. In order to overcome this problem, we derive a
gauge invariant formalism by virtue of which the unphysical (gauge) modes can
be isolated.
| [
{
"created": "Wed, 22 May 1996 15:30:10 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Brodbeck",
"O.",
""
],
[
"Heusler",
"M.",
""
],
[
"Straumann",
"G. Lavrelashvili N.",
""
],
[
"Volkov",
"M. S.",
""
]
] | We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under spherical perturbations. Specifically, we argue that the configurations have $n$ unstable modes in each parity sector, where $n$ is the number of nodes of the magnetic Yang--Mills amplitude of the background solution. The ``sphaleron--like'' instabilities (odd parity modes) decouple from the gravitational perturbations. They are obtained from a regular Schr\"odinger equation after a supersymmetric transformation. The body of the work is devoted to the fluctuations with even parity. The main difficulty arises because the Schwarzschild gauge -- which is usually imposed to eliminate the gravitational perturbations from the Yang--Mills equation -- is not regular for solutions with compact spatial topology. In order to overcome this problem, we derive a gauge invariant formalism by virtue of which the unphysical (gauge) modes can be isolated. |
1708.00305 | Diego Rodriguez-Gomez | Diego Rodriguez-Gomez, Jorge G. Russo | Free energy and boundary anomalies on $\mathbb{S}^a\times \mathbb{H}^b$
spaces | 36 pages, no figures. V2: refs. added | null | 10.1007/JHEP10(2017)084 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute free energies as well as conformal anomalies associated with
boundaries for a conformal free scalar field. To that matter, we introduce the
family of spaces of the form $\mathbb{S}^a\times \mathbb{H}^b$, which are
conformally related to $\mathbb{S}^{a+b}$. For the case of $a=1$, related to
the entanglement entropy across $\mathbb{S}^{b-1}$, we provide some new
explicit computations of entanglement entropies at weak coupling. We then
compute the free energy for spaces $\mathbb{S}^a\times \mathbb{H}^b$ for
different values of $a$ and $b$. For spaces $\mathbb{S}^{2n+1}\times
\mathbb{H}^{2k}$ we find an exact match with the free energy on
$\mathbb{S}^{2n+2k+1}$. For $\mathbb{H}^{2k+1}$ and $\mathbb{S}^{3}\times
\mathbb{H}^{3}$ we find conformal anomalies originating from boundary terms.
We also compute the free energy for strongly coupled theories through
holography, obtaining similar results.
| [
{
"created": "Tue, 1 Aug 2017 13:27:45 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Aug 2017 09:35:29 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Oct 2019 07:42:20 GMT",
"version": "v3"
}
] | 2019-10-21 | [
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form $\mathbb{S}^a\times \mathbb{H}^b$, which are conformally related to $\mathbb{S}^{a+b}$. For the case of $a=1$, related to the entanglement entropy across $\mathbb{S}^{b-1}$, we provide some new explicit computations of entanglement entropies at weak coupling. We then compute the free energy for spaces $\mathbb{S}^a\times \mathbb{H}^b$ for different values of $a$ and $b$. For spaces $\mathbb{S}^{2n+1}\times \mathbb{H}^{2k}$ we find an exact match with the free energy on $\mathbb{S}^{2n+2k+1}$. For $\mathbb{H}^{2k+1}$ and $\mathbb{S}^{3}\times \mathbb{H}^{3}$ we find conformal anomalies originating from boundary terms. We also compute the free energy for strongly coupled theories through holography, obtaining similar results. |
1802.08860 | Martin Bies | Martin Bies | Cohomologies of coherent sheaves and massless spectra in F-theory | PhD thesis | null | 10.11588/heidok.00024045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this PhD thesis we investigate the significance of Chow groups for zero
mode counting and anomaly cancellation in F-theory vacua.
The major part of this thesis focuses on zero mode counting. We explain that
elements of Chow group describe a subset of gauge backgrounds and give rise to
a line bundle on each matter curve. The sheaf cohomologies of these line
bundles are found to encode the chiral and anti-chiral localised zero modes in
this compactification. Therefore, it is of prime interest to compute these
sheaf cohomologies. Unfortunately, the line bundles in question are in general
non-pullback line bundles. In particular, this is the case for the hypercharge
flux employed in F-theory models of grand unified theories (GUTs).
Consequently, existing methods, such as the cohomCalg-algorithm, cannot be
applied. In collaboration with the mathematician Mohamed Barakat, we have
therefore implemented algorithms which determine the sheaf cohomologies of all
coherent sheaves on toric varieties. These algorithms are provided by the
gap-package SheafCohomologiesOnToricVarieties which extends the homalg-project
of Mohamed Barakat. We exemplify these algorithms in explicit (toy-)models of
F-theory GUTs.
As a spin-off of this analysis, we proved that in an entire class of F-theory
vacua, the matter surface fluxes satisfy a number of relations in the Chow
ring, which we related to anomaly cancellation. Based on this evidence we
conjecture that the well-known anomaly cancellation conditions in F-theory -
typically phrased as intersections in the cohomology ring - can be extended
even to relations in the Chow ring.
| [
{
"created": "Sat, 24 Feb 2018 15:11:33 GMT",
"version": "v1"
}
] | 2021-11-02 | [
[
"Bies",
"Martin",
""
]
] | In this PhD thesis we investigate the significance of Chow groups for zero mode counting and anomaly cancellation in F-theory vacua. The major part of this thesis focuses on zero mode counting. We explain that elements of Chow group describe a subset of gauge backgrounds and give rise to a line bundle on each matter curve. The sheaf cohomologies of these line bundles are found to encode the chiral and anti-chiral localised zero modes in this compactification. Therefore, it is of prime interest to compute these sheaf cohomologies. Unfortunately, the line bundles in question are in general non-pullback line bundles. In particular, this is the case for the hypercharge flux employed in F-theory models of grand unified theories (GUTs). Consequently, existing methods, such as the cohomCalg-algorithm, cannot be applied. In collaboration with the mathematician Mohamed Barakat, we have therefore implemented algorithms which determine the sheaf cohomologies of all coherent sheaves on toric varieties. These algorithms are provided by the gap-package SheafCohomologiesOnToricVarieties which extends the homalg-project of Mohamed Barakat. We exemplify these algorithms in explicit (toy-)models of F-theory GUTs. As a spin-off of this analysis, we proved that in an entire class of F-theory vacua, the matter surface fluxes satisfy a number of relations in the Chow ring, which we related to anomaly cancellation. Based on this evidence we conjecture that the well-known anomaly cancellation conditions in F-theory - typically phrased as intersections in the cohomology ring - can be extended even to relations in the Chow ring. |
hep-th/9403145 | V. P. Nair | V.P.Nair | Hard Thermal Loops, Chern-Simons Theory and the Quark-Gluon Plasma | 8 pages, October, 1993. (Plain TeX) | null | null | null | hep-th hep-ph | null | The generating functional for hard thermal loops in QCD is important in
setting up a resummed perturbation theory. I review how this functional is
related to the eikonal for a Chern-Simons theory, and using an auxiliary field,
to the gauged WZNW-action. The induced current due to hard thermal loops,
properly incorporating damping effects, is also briefly discussed. (Invited
talk at the Third Worshop on Thermal Field Theories, Banff, Canada, August,
1993.)
| [
{
"created": "Wed, 23 Mar 1994 15:41:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nair",
"V. P.",
""
]
] | The generating functional for hard thermal loops in QCD is important in setting up a resummed perturbation theory. I review how this functional is related to the eikonal for a Chern-Simons theory, and using an auxiliary field, to the gauged WZNW-action. The induced current due to hard thermal loops, properly incorporating damping effects, is also briefly discussed. (Invited talk at the Third Worshop on Thermal Field Theories, Banff, Canada, August, 1993.) |
1205.6176 | Liuba Mazzanti | A. Maga\~na, J. Mas, L. Mazzanti and J. Tarrio | Probes on D3-D7 Quark-Gluon Plasmas | 31 pages, 17 figures | null | 10.1007/JHEP07(2012)058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic dual model of quenched flavors immersed in a
quark-gluon plasma with massless dynamical quarks in the Veneziano limit. This
is modeled by embedding a probe D7 brane in a background where the backreaction
of massless D7 branes has been taken into account. The background, and hence
the effects, are perturbative in the Veneziano parameter N_f/N_c, therefore
giving small shifts of all magnitudes like the constituent mass, the quark
condensate, and several transport coefficients. We provide qualitative results
for the effect of flavor degrees of freedom on the probes. For example, the
meson melting temperature is enhanced, while the screening length is
diminished. The drag force is also enhanced.
| [
{
"created": "Mon, 28 May 2012 18:25:44 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Magaña",
"A.",
""
],
[
"Mas",
"J.",
""
],
[
"Mazzanti",
"L.",
""
],
[
"Tarrio",
"J.",
""
]
] | We study the holographic dual model of quenched flavors immersed in a quark-gluon plasma with massless dynamical quarks in the Veneziano limit. This is modeled by embedding a probe D7 brane in a background where the backreaction of massless D7 branes has been taken into account. The background, and hence the effects, are perturbative in the Veneziano parameter N_f/N_c, therefore giving small shifts of all magnitudes like the constituent mass, the quark condensate, and several transport coefficients. We provide qualitative results for the effect of flavor degrees of freedom on the probes. For example, the meson melting temperature is enhanced, while the screening length is diminished. The drag force is also enhanced. |
2406.07610 | Javier Huenupi | Javier Huenupi, Ellie Hughes, Gonzalo A. Palma, Spyros Sypsas | Regularizing infrared divergences in de Sitter spacetime | 11 pages + references. Comments welcome | null | null | null | hep-th astro-ph.CO hep-ph | http://creativecommons.org/licenses/by/4.0/ | Correlation functions of light scalars in de Sitter space, computed in
standard perturbation theory, are hindered by time-dependent infrared
divergences in the form of powers of $\ln a(t)$, where $a(t)$ is the scale
factor describing the expansion of space. It has often been pointed out that
loop corrections to these correlation functions make their divergence even
stronger. In this note, we argue that this is not the case: Loop corrections
can be treated systematically with standard perturbative techniques (such as
dimensional regularization) without necessarily introducing new $\ln a(t)$
dependencies. To be concrete, we focus on correlation functions represented by
diagrams with a single vertex and an arbitrary number of loops. In this case,
divergences from loops can be removed systematically with counterterms order by
order, and one finds that observable loop-corrected correlation functions are
indistinguishable from their tree-level form. By adopting a Wilsonian
perspective, we further point out that our results favor the use of physical
cutoffs (as opposed to comoving cutoffs) to regularize infrared divergences in
general diagrams with an arbitrary number of loops and vertices.
| [
{
"created": "Tue, 11 Jun 2024 18:00:01 GMT",
"version": "v1"
}
] | 2024-06-13 | [
[
"Huenupi",
"Javier",
""
],
[
"Hughes",
"Ellie",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Sypsas",
"Spyros",
""
]
] | Correlation functions of light scalars in de Sitter space, computed in standard perturbation theory, are hindered by time-dependent infrared divergences in the form of powers of $\ln a(t)$, where $a(t)$ is the scale factor describing the expansion of space. It has often been pointed out that loop corrections to these correlation functions make their divergence even stronger. In this note, we argue that this is not the case: Loop corrections can be treated systematically with standard perturbative techniques (such as dimensional regularization) without necessarily introducing new $\ln a(t)$ dependencies. To be concrete, we focus on correlation functions represented by diagrams with a single vertex and an arbitrary number of loops. In this case, divergences from loops can be removed systematically with counterterms order by order, and one finds that observable loop-corrected correlation functions are indistinguishable from their tree-level form. By adopting a Wilsonian perspective, we further point out that our results favor the use of physical cutoffs (as opposed to comoving cutoffs) to regularize infrared divergences in general diagrams with an arbitrary number of loops and vertices. |
2211.16425 | Marcus Spradlin | Luke Lippstreu, Marcus Spradlin, Anastasia Volovich | Landau Singularities of the 7-Point Ziggurat I | 18 pages, 3 figures, 2 tables; v2: no changes in the calculations,
but significant changes to the text in order to align with arXiv:2305.17069 | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We compute the leading (first-type Landau) singularities of a certain
four-loop 7-point graph that is related to the 7-point ``ziggurat'' graph by
the graphical moves familiar from equivalent circuit theory. We find perfect
agreement with a subset of the ``heptagon symbol alphabet'' that has appeared
in the context of planar $\mathcal{N}=4$ super-Yang-Mills theory. The remaining
heptagon symbol letters are found in its subleading Landau singularities, which
we address in a companion paper.
| [
{
"created": "Tue, 29 Nov 2022 17:54:56 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jun 2024 15:15:48 GMT",
"version": "v2"
}
] | 2024-07-02 | [
[
"Lippstreu",
"Luke",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] | We compute the leading (first-type Landau) singularities of a certain four-loop 7-point graph that is related to the 7-point ``ziggurat'' graph by the graphical moves familiar from equivalent circuit theory. We find perfect agreement with a subset of the ``heptagon symbol alphabet'' that has appeared in the context of planar $\mathcal{N}=4$ super-Yang-Mills theory. The remaining heptagon symbol letters are found in its subleading Landau singularities, which we address in a companion paper. |
hep-th/9304112 | Rodolfo | R.Cuerno and A. Gonz\'alez--Ruiz | Free Fermionic Elliptic Reflection Matrices and Quantum Group Invariance | 9 pages, Latex | J.Phys. A26 (1993) L605-L610 | 10.1088/0305-4470/26/14/003 | IMAFF 93/11 and LPTHE-PAR 93/21 | hep-th cond-mat nlin.SI solv-int | null | Elliptic diagonal solutions for the reflection matrices associated to the
elliptic $R$ matrix of the eight vertex free fermion model are presented. They
lead through the second derivative of the open chain transfer matrix to an XY
hamiltonian in a magnetic field which is invariant under a quantum deformed
Clifford--Hopf algebra.
| [
{
"created": "Fri, 23 Apr 1993 14:46:32 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cuerno",
"R.",
""
],
[
"González--Ruiz",
"A.",
""
]
] | Elliptic diagonal solutions for the reflection matrices associated to the elliptic $R$ matrix of the eight vertex free fermion model are presented. They lead through the second derivative of the open chain transfer matrix to an XY hamiltonian in a magnetic field which is invariant under a quantum deformed Clifford--Hopf algebra. |
hep-th/0307223 | Edi Halyo | Edi Halyo | Models of Inflation on D-Branes | 24 pages in phyzzx.tex, typos corrected; v3 more typos corrected; v4
more minor corrections | null | null | null | hep-th | null | We obtain models of chaotic, slow--roll, hybrid and D--term inflation from
the Hanany--Witten brane configuration and its deformations. The deformations
are given by the different orientations of the branes and control the
parameters of the scalar potential such as the inflaton mass, Yukawa couplings
and the anomalous D--term. The different inflationary models are continuously
connected and arise in different limits of the parameter space. We describe a
compactified version of the brane construction that also leads to models of
inflation.
| [
{
"created": "Tue, 22 Jul 2003 21:27:22 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2003 19:27:35 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Sep 2003 19:15:05 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Jan 2004 18:25:23 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Halyo",
"Edi",
""
]
] | We obtain models of chaotic, slow--roll, hybrid and D--term inflation from the Hanany--Witten brane configuration and its deformations. The deformations are given by the different orientations of the branes and control the parameters of the scalar potential such as the inflaton mass, Yukawa couplings and the anomalous D--term. The different inflationary models are continuously connected and arise in different limits of the parameter space. We describe a compactified version of the brane construction that also leads to models of inflation. |
1107.5795 | Michal Michalcik | Michal Michalcik, Radoslav C. Rashkov and Maria Schimpf | On semiclassical calculation of three-point functions in AdS_5 \times
T^(1,1) | 18 pages, added reference | null | 10.1142/S0217732312500915 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently there has been progress on the computation of two- and three-point
correlation functions with two "heavy" states via semiclassical methods. We
extend this analysis to the case of AdS_5 \times T^(1,1), and examine the
suggested procedure for the case of several simple string solutions. By making
use of AdS/CFT duality, we derive the relevant correlation functions of
operators belonging to the dual gauge theory.
| [
{
"created": "Thu, 28 Jul 2011 19:05:24 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2011 11:08:49 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Michalcik",
"Michal",
""
],
[
"Rashkov",
"Radoslav C.",
""
],
[
"Schimpf",
"Maria",
""
]
] | Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_5 \times T^(1,1), and examine the suggested procedure for the case of several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual gauge theory. |
2209.05295 | Ilya Shirokov | Ilya Shirokov | Computer algebra calculations in supersymmetric electrodynamics | 14 pages, 1 figure, accepted for publication in "Programming and
Computer Software" | Program. Comput. Software 49 (2023), 122-130 | 10.1134/S0361768823020147 | null | hep-th cs.SC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new symbolic algorithm and a C++ program for generating and
calculating supersymmetric Feynman diagrams for ${\cal N}=1$ supersymmetric
electrodynamics regularized by higher derivatives in four dimensions. According
to standard rules, the program generates all diagrams that are necessary to
calculate a specific contribution to the two-point Green function of matter
superfields in the needed order, and then reduces the answer to the sum of
Euclidean momentum integrals. At the moment, the program was used to calculate
the anomalous dimension in ${\cal N}=1$ supersymmetric quantum electrodynamics,
regularized by higher derivatives, in the three-loop approximation.
| [
{
"created": "Mon, 12 Sep 2022 14:57:26 GMT",
"version": "v1"
}
] | 2023-04-27 | [
[
"Shirokov",
"Ilya",
""
]
] | We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for ${\cal N}=1$ supersymmetric electrodynamics regularized by higher derivatives in four dimensions. According to standard rules, the program generates all diagrams that are necessary to calculate a specific contribution to the two-point Green function of matter superfields in the needed order, and then reduces the answer to the sum of Euclidean momentum integrals. At the moment, the program was used to calculate the anomalous dimension in ${\cal N}=1$ supersymmetric quantum electrodynamics, regularized by higher derivatives, in the three-loop approximation. |
2302.13788 | Oscar Fuentealba | Oscar Fuentealba | Asymptotic $\mathcal O(r)$ gauge symmetries and gauge-invariant
Poincar\'e generators in higher spacetime dimensions | 25 pages, no figures. References added. Matches with published
version | null | 10.1007/JHEP04(2023)047 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The asymptotic symmetries of electromagnetism in all higher spacetime
dimensions $d>4$ are extended, by incorporating consistently angle-dependent
$u(1)$ gauge transformations with a linear growth in the radial coordinate at
spatial infinity. Finiteness of the symplectic structure and preservation of
the asymptotic conditions require to impose a set of strict parity conditions,
under the antipodal map of the $(d-2)$-sphere, on the leading order fields at
infinity. Canonical generators of the asymptotic symmetries are obtained
through standard Hamiltonian methods. Remarkably, the theory endowed with this
set of asymptotic conditions turns out to be invariant under a six-fold set of
angle-dependent $u(1)$ transformations, whose generators form a centrally
extended abelian algebra. The new charges generated by the $\mathcal O(r)$
gauge parameter are found to be conjugate to those associated to the now
improper subleading $O(r^{-d+3})$ transformations, while the standard $\mathcal
O(1)$ gauge transformations are canonically conjugate to the subleading
$\mathcal{O}(r^{-d+4})$ transformations. This algebraic structure,
characterized by the presence of central charges, allows us to perform a
nonlinear redefinition of the Poincar\'e generators, that results in the
decoupling of all of the $u(1)$ charges from the Poincar\'e algebra. Thus, the
mechanism previously used in $d=4$ to find gauge-invariant Poincar\'e
generators is shown to be a robust property of electromagnetism in all
spacetime dimensions $d\geq 4$.
| [
{
"created": "Mon, 27 Feb 2023 14:08:33 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2023 14:38:02 GMT",
"version": "v2"
}
] | 2023-05-03 | [
[
"Fuentealba",
"Oscar",
""
]
] | The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth in the radial coordinate at spatial infinity. Finiteness of the symplectic structure and preservation of the asymptotic conditions require to impose a set of strict parity conditions, under the antipodal map of the $(d-2)$-sphere, on the leading order fields at infinity. Canonical generators of the asymptotic symmetries are obtained through standard Hamiltonian methods. Remarkably, the theory endowed with this set of asymptotic conditions turns out to be invariant under a six-fold set of angle-dependent $u(1)$ transformations, whose generators form a centrally extended abelian algebra. The new charges generated by the $\mathcal O(r)$ gauge parameter are found to be conjugate to those associated to the now improper subleading $O(r^{-d+3})$ transformations, while the standard $\mathcal O(1)$ gauge transformations are canonically conjugate to the subleading $\mathcal{O}(r^{-d+4})$ transformations. This algebraic structure, characterized by the presence of central charges, allows us to perform a nonlinear redefinition of the Poincar\'e generators, that results in the decoupling of all of the $u(1)$ charges from the Poincar\'e algebra. Thus, the mechanism previously used in $d=4$ to find gauge-invariant Poincar\'e generators is shown to be a robust property of electromagnetism in all spacetime dimensions $d\geq 4$. |
hep-th/0203145 | Youm Donam | Donam Youm | Variable-Speed-of-Light Cosmology and Second Law of Thermodynamics | 15 pages, LaTeX, Revised version with minor corrections to appear in
Phys. Rev. D | Phys.Rev.D66:043506,2002 | 10.1103/PhysRevD.66.043506 | IC/2002/14 | hep-th gr-qc | null | We examine whether the cosmologies with varying speed of light (VSL) are
compatible with the second law of thermodynamics. We find that the VSL
cosmology with varying fundamental constant is severely constrained by the
second law of thermodynamics, whereas the bimetric cosmological models are less
constrained.
| [
{
"created": "Fri, 15 Mar 2002 16:28:24 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2002 17:41:37 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2002 13:24:37 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Youm",
"Donam",
""
]
] | We examine whether the cosmologies with varying speed of light (VSL) are compatible with the second law of thermodynamics. We find that the VSL cosmology with varying fundamental constant is severely constrained by the second law of thermodynamics, whereas the bimetric cosmological models are less constrained. |
1108.0424 | Leron Borsten | L. Borsten, M. J. Duff, S. Ferrara, A. Marrani and W. Rubens | Small Orbits | 40 pages, 9 tables. References added. Expanded comments added to
sections III. C. 1. and III. F. 3 | Phys. Rev. D 85, 086002 (2012) | 10.1103/PhysRevD.85.086002 | Imperial/TP/2011/mjd/2; CERN-PH-TH/2011-162 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study both the "large" and "small" U-duality charge orbits of extremal
black holes appearing in D = 5 and D = 4 Maxwell-Einstein supergravity theories
with symmetric scalar manifolds. We exploit a formalism based on cubic Jordan
algebras and their associated Freudenthal triple systems, in order to derive
the minimal charge representatives, their stabilizers and the associated
"moduli spaces". After recalling N = 8 maximal supergravity, we consider N = 2
and N = 4 theories coupled to an arbitrary number of vector multiplets, as well
as N = 2 magic, STU, ST^2 and T^3 models. While the STU model may be considered
as part of the general N = 2 sequence, albeit with an additional triality
symmetry, the ST^2 and T^3 models demand a separate treatment, since their
representative Jordan algebras are Euclidean or only admit non-zero elements of
rank 3, respectively. Finally, we also consider minimally coupled N = 2, matter
coupled N = 3, and "pure" N = 5 theories.
| [
{
"created": "Mon, 1 Aug 2011 20:04:41 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jul 2012 09:28:58 GMT",
"version": "v2"
}
] | 2012-07-11 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Marrani",
"A.",
""
],
[
"Rubens",
"W.",
""
]
] | We study both the "large" and "small" U-duality charge orbits of extremal black holes appearing in D = 5 and D = 4 Maxwell-Einstein supergravity theories with symmetric scalar manifolds. We exploit a formalism based on cubic Jordan algebras and their associated Freudenthal triple systems, in order to derive the minimal charge representatives, their stabilizers and the associated "moduli spaces". After recalling N = 8 maximal supergravity, we consider N = 2 and N = 4 theories coupled to an arbitrary number of vector multiplets, as well as N = 2 magic, STU, ST^2 and T^3 models. While the STU model may be considered as part of the general N = 2 sequence, albeit with an additional triality symmetry, the ST^2 and T^3 models demand a separate treatment, since their representative Jordan algebras are Euclidean or only admit non-zero elements of rank 3, respectively. Finally, we also consider minimally coupled N = 2, matter coupled N = 3, and "pure" N = 5 theories. |
hep-th/0010148 | Patrick E. Dorey | Patrick Dorey, Clare Dunning and Roberto Tateo | Ordinary Differential Equations and Integrable Models | 12 pages, 5 figures, JHEP proceedings style. Uses epsfig, amssymb.
Talk given at the conference `Nonperturbative Quantum Effects 2000', Paris | POS tmr2000:034,2000 | null | SPhT-T00/136, DTP/00187, ITFA 00-18 | hep-th | null | We review a recently-discovered link between the functional relations
approach to integrable quantum field theories and the properties of certain
ordinary differential equations in the complex domain.
| [
{
"created": "Wed, 18 Oct 2000 06:45:54 GMT",
"version": "v1"
}
] | 2009-10-16 | [
[
"Dorey",
"Patrick",
""
],
[
"Dunning",
"Clare",
""
],
[
"Tateo",
"Roberto",
""
]
] | We review a recently-discovered link between the functional relations approach to integrable quantum field theories and the properties of certain ordinary differential equations in the complex domain. |
0705.1529 | Leopoldo A. Pando Zayas | C. A. Ballon Bayona, Henrique Boschi-Filho, Nelson R. F. Braga and
Leopoldo A. Pando Zayas | On a Holographic Model for Confinement/Deconfinement | 14 pages. V2: We included a new section discussing the soft wall
model and new references. V3: We clarified some points and updated the
references. Results unchanged. Version published in PRD | Phys.Rev.D77:046002,2008 | 10.1103/PhysRevD.77.046002 | MCTP-07-17 | hep-th | null | We study the thermodynamics of the hard wall model, which consists in the
introduction of an infrared cut-off in asymptotically AdS spaces. This is a toy
model for confining backgrounds in the context of the gauge/gravity
correspondence. We use holographic renormalization and reproduce the existence
of a Hawking Page phase transition recently discussed by Herzog. We also show
that the entropy jumps from $N^0$ to $N^2$, which reinforces the interpretation
of this transition as the gravity dual of confinement/deconfinement. We also
show that similar results hold for the phenomenologically motivated soft wall
model, underlining the potential universality of our analysis.
| [
{
"created": "Thu, 10 May 2007 19:01:52 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2007 18:00:48 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Mar 2008 20:47:22 GMT",
"version": "v3"
}
] | 2008-03-06 | [
[
"Bayona",
"C. A. Ballon",
""
],
[
"Boschi-Filho",
"Henrique",
""
],
[
"Braga",
"Nelson R. F.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | We study the thermodynamics of the hard wall model, which consists in the introduction of an infrared cut-off in asymptotically AdS spaces. This is a toy model for confining backgrounds in the context of the gauge/gravity correspondence. We use holographic renormalization and reproduce the existence of a Hawking Page phase transition recently discussed by Herzog. We also show that the entropy jumps from $N^0$ to $N^2$, which reinforces the interpretation of this transition as the gravity dual of confinement/deconfinement. We also show that similar results hold for the phenomenologically motivated soft wall model, underlining the potential universality of our analysis. |
1902.08894 | Kei-Ichi Kondo | Kei-Ichi Kondo, Masaki Watanabe, Yui Hayashi, Ryutaro Matsudo, and
Yutaro Suda | Reflection positivity and complex analysis of the Yang-Mills theory from
a viewpoint of gluon confinement | 33 pages, 25 figures, a version with the same contents as that
published in Eur. Phys. J. C 80, 84 (2020)[33 pages] (although the style is
different) | null | 10.1140/epjc/s10052-020-7632-4 | CHIBA-EP-238 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to understand the confining decoupling solution of the Yang-Mills
theory in the Landau gauge, we consider the massive Yang-Mills model which is
defined by just adding a gluon mass term to the Yang-Mills theory with the
Lorentz-covariant gauge fixing term and the associated Faddeev-Popov ghost
term. First of all, we show that massive Yang-Mills model is obtained as a
gauge-fixed version of the gauge-invariantly extended theory which is
identified with the gauge-scalar model with a single fixed-modulus scalar field
in the fundamental representation of the gauge group. This equivalence is
obtained through the gauge-independent description of the Brout-Englert-Higgs
mechanism proposed recently by one of the authors. Then, we reconfirm that the
Euclidean gluon and ghost propagators in the Landau gauge obtained by numerical
simulations on the lattice are reproduced with good accuracy from the massive
Yang-Mills model by taking into account one-loop quantum corrections. Moreover,
we demonstrate in a numerical way that the Schwinger function calculated from
the gluon propagator in the Euclidean region exhibits violation of the
reflection positivity at the physical point of the parameters. In addition, we
perform the analytic continuation of the gluon propagator from the Euclidean
region to the complex momentum plane towards the Minkowski region. We give an
analytical proof that the reflection positivity is violated for any choice of
the parameters in the massive Yang-Mills model, due to the existence of a pair
of complex conjugate poles and the negativity of the spectral function for the
gluon propagator to one-loop order. The complex structure of the propagator
enables us to explain why the gluon propagator in the Euclidean region is well
described by the Gribov-Stingl form.
| [
{
"created": "Sun, 24 Feb 2019 04:58:13 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2019 15:18:49 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Feb 2020 01:45:50 GMT",
"version": "v3"
}
] | 2020-02-26 | [
[
"Kondo",
"Kei-Ichi",
""
],
[
"Watanabe",
"Masaki",
""
],
[
"Hayashi",
"Yui",
""
],
[
"Matsudo",
"Ryutaro",
""
],
[
"Suda",
"Yutaro",
""
]
] | In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gluon mass term to the Yang-Mills theory with the Lorentz-covariant gauge fixing term and the associated Faddeev-Popov ghost term. First of all, we show that massive Yang-Mills model is obtained as a gauge-fixed version of the gauge-invariantly extended theory which is identified with the gauge-scalar model with a single fixed-modulus scalar field in the fundamental representation of the gauge group. This equivalence is obtained through the gauge-independent description of the Brout-Englert-Higgs mechanism proposed recently by one of the authors. Then, we reconfirm that the Euclidean gluon and ghost propagators in the Landau gauge obtained by numerical simulations on the lattice are reproduced with good accuracy from the massive Yang-Mills model by taking into account one-loop quantum corrections. Moreover, we demonstrate in a numerical way that the Schwinger function calculated from the gluon propagator in the Euclidean region exhibits violation of the reflection positivity at the physical point of the parameters. In addition, we perform the analytic continuation of the gluon propagator from the Euclidean region to the complex momentum plane towards the Minkowski region. We give an analytical proof that the reflection positivity is violated for any choice of the parameters in the massive Yang-Mills model, due to the existence of a pair of complex conjugate poles and the negativity of the spectral function for the gluon propagator to one-loop order. The complex structure of the propagator enables us to explain why the gluon propagator in the Euclidean region is well described by the Gribov-Stingl form. |
1508.01484 | David Kraljic | Sa\v{s}o Grozdanov, David Kraljic, Eirik Eik Svanes | Inflationary Potentials from the Exact Renormalisation Group | V3: 11 pages, 4 figures. Text matches the published version | Nucl.Phys. B 909 (2016) 657-676 | 10.1016/j.nuclphysb.2016.06.001 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that an inflationary slow-roll potential can be derived as an IR
limit of the non-perturbative exact renormalisation group equation for a scalar
field within the mean-field approximation. The result follows without having to
specify a Lagrangian for the UV theory at the Planck scale. We assume that the
theory contains a scalar mode with suppressed coupling to other UV fields, and
that higher derivative couplings are suppressed. The resulting effective
potential gives rise to slow-roll inflation, which is fully consistent with the
recent observations. As an example of how the proposed renormalisation group
procedure works, we perform an explicit calculation in the $\phi^4$ theory.
| [
{
"created": "Thu, 6 Aug 2015 18:31:46 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 23:10:50 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Aug 2016 20:48:13 GMT",
"version": "v3"
}
] | 2016-08-15 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Kraljic",
"David",
""
],
[
"Svanes",
"Eirik Eik",
""
]
] | We show that an inflationary slow-roll potential can be derived as an IR limit of the non-perturbative exact renormalisation group equation for a scalar field within the mean-field approximation. The result follows without having to specify a Lagrangian for the UV theory at the Planck scale. We assume that the theory contains a scalar mode with suppressed coupling to other UV fields, and that higher derivative couplings are suppressed. The resulting effective potential gives rise to slow-roll inflation, which is fully consistent with the recent observations. As an example of how the proposed renormalisation group procedure works, we perform an explicit calculation in the $\phi^4$ theory. |
1102.2391 | Stefano Bellucci | Stefano Bellucci and Bhupendra Nath Tiwari | State-space geometry, non-extremal black holes and Kaluza-Klein
monopoles | 10 pages, 4 figures. Keywords: Intrinsic Geometry; String Theory;
Physics of black holes; Classical black holes; Quantum aspects of black
holes, evaporation, thermodynamics; Higher-dimensional black holes, black
strings, and related objects; Statistical Fluctuation; Flow Instability. PACS
numbers: 2.40.-Ky; 11.25.-w; 04.70.-s; 04.70.Bw; 04.70.Dy; 04.50.Gh; 5.40.-a;
47.29.Ky | null | 10.1142/S0217732312500952 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the statistical nature of the charged anticharged non-extremal
black holes in string theory. From the perspective of the intrinsic Riemannian
Geometry, the first principle of the statistical mechanics shows that the
stability properties of general nonextremal nonlarge charged black brane
solutions are divulged from the positivity of the corresponding principle
minors of the space-state metric tensor. Under the addition of the Kaluza-Klein
monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the
canonical fluctuations can be ascertained without any approximation. We offer
the state-space geometric implication for the most general non-extremal black
brane configurations in string theory.
| [
{
"created": "Fri, 11 Feb 2011 16:51:02 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Bellucci",
"Stefano",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We examine the statistical nature of the charged anticharged non-extremal black holes in string theory. From the perspective of the intrinsic Riemannian Geometry, the first principle of the statistical mechanics shows that the stability properties of general nonextremal nonlarge charged black brane solutions are divulged from the positivity of the corresponding principle minors of the space-state metric tensor. Under the addition of the Kaluza-Klein monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. We offer the state-space geometric implication for the most general non-extremal black brane configurations in string theory. |
1312.5328 | Johan Bl{\aa}b\"ack | Johan Bl{\aa}b\"ack, Diederik Roest, Ivonne Zavala | De Sitter Vacua from Non-perturbative Flux Compactifications | 8 pages, 2 figures, 2 tables. v2: 5 pages, 1 figure, 2 tables.
Careful rephrasing of motivation and approach, added flux-quantisation
example, corrected error in Table 1.. Version accepted for publication in PRD | Phys. Rev. D 90, 024065 (2014) | 10.1103/PhysRevD.90.024065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present stable de Sitter solutions of $\mathcal{N} = 1$ supergravity in a
geometric type IIB duality frame with the addition of non-perturbative
contributions. Contrary to the standard approach, we retain the moduli
dependence of both the tree level superpotential and its non-perturbative
contribution. This provides the possibility for a single-step stabilisation of
all moduli simultaneously in a de Sitter vacuum. Using a genetic algorithm we
find explicit solutions with different features.
| [
{
"created": "Wed, 18 Dec 2013 21:00:12 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2014 13:02:33 GMT",
"version": "v2"
}
] | 2014-07-30 | [
[
"Blåbäck",
"Johan",
""
],
[
"Roest",
"Diederik",
""
],
[
"Zavala",
"Ivonne",
""
]
] | We present stable de Sitter solutions of $\mathcal{N} = 1$ supergravity in a geometric type IIB duality frame with the addition of non-perturbative contributions. Contrary to the standard approach, we retain the moduli dependence of both the tree level superpotential and its non-perturbative contribution. This provides the possibility for a single-step stabilisation of all moduli simultaneously in a de Sitter vacuum. Using a genetic algorithm we find explicit solutions with different features. |
hep-th/0212048 | Satoshi Yamada | Shozo Uehara and Satoshi Yamada | Comments on the global constraints in light-cone string and membrane
theories | 12 pages, typos corrected, to appear in JHEP | JHEP 0212 (2002) 041 | 10.1088/1126-6708/2002/12/041 | DPNU-02-41 | hep-th | null | In the light-cone closed string and toroidal membrane theories, we associate
the global constraints with gauge symmetries. In the closed string case, we
show that the physical states defined by the BRS charge satisfy the
level-matching condition. In the toroidal membrane case, we show that the
Faddeev-Popov ghost and anti-ghost corresponding to the global constraints are
essentially free even if we adopt any gauge fixing condition for the local
constraint. We discuss the quantum double-dimensional reduction of the wrapped
supermembrane with the global constraints.
| [
{
"created": "Wed, 4 Dec 2002 13:11:03 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Dec 2002 10:57:55 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Uehara",
"Shozo",
""
],
[
"Yamada",
"Satoshi",
""
]
] | In the light-cone closed string and toroidal membrane theories, we associate the global constraints with gauge symmetries. In the closed string case, we show that the physical states defined by the BRS charge satisfy the level-matching condition. In the toroidal membrane case, we show that the Faddeev-Popov ghost and anti-ghost corresponding to the global constraints are essentially free even if we adopt any gauge fixing condition for the local constraint. We discuss the quantum double-dimensional reduction of the wrapped supermembrane with the global constraints. |
0709.3501 | Alysson Fabio Ferrari | A. F. Ferrari, M. Gomes, A. C. Lehum, A. Yu. Petrov, A. J. da Silva | Perturbative finiteness of the three-dimensional Susy QED to all orders | 8 pages, 3 figures, revtex4 | Phys.Rev.D77:065005,2008 | 10.1103/PhysRevD.77.065005 | null | hep-th | null | Within the superfield formalism, we study the ultraviolet properties of the
three-dimensional supersymmetric quantum electrodynamics. The theory is shown
to be finite at all loops orders in a particular gauge.
| [
{
"created": "Fri, 21 Sep 2007 18:44:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ferrari",
"A. F.",
""
],
[
"Gomes",
"M.",
""
],
[
"Lehum",
"A. C.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"da Silva",
"A. J.",
""
]
] | Within the superfield formalism, we study the ultraviolet properties of the three-dimensional supersymmetric quantum electrodynamics. The theory is shown to be finite at all loops orders in a particular gauge. |
hep-th/9707022 | Hisao Suzuki | Hisao Suzuki | Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in
Type-II String | 16 pages, Latex, no figures, a reference corrected | Mod.Phys.Lett.A12:2847-2858,1997 | 10.1142/S0217732397002971 | EPHOU 97-007 | hep-th | null | We show how to evaluate the periods in Seiberg-Witten theories and in
K3-fibered Calabi-Yau manifolds by using fibrations of the theories. In the
Seiberg-Witten theories, it is shown that the dual pair of fields can be
constructed from the classical fields in a simple form. As for Calabi-Yau
manifolds which are fibrations of K3 surface, we obtain the solutions of the
Picard-Fuchs equations from the periods of K3 surface. By utilizing the
expression of periods for two-parameter models of type-II string, we derive the
solutions of the Picard-Fuchs equations around the points of enhanced gauge
symmetry and show a simple connection to the SU(2) Seiberg-Witten theory.
| [
{
"created": "Wed, 2 Jul 1997 02:10:11 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 1997 01:57:41 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Suzuki",
"Hisao",
""
]
] | We show how to evaluate the periods in Seiberg-Witten theories and in K3-fibered Calabi-Yau manifolds by using fibrations of the theories. In the Seiberg-Witten theories, it is shown that the dual pair of fields can be constructed from the classical fields in a simple form. As for Calabi-Yau manifolds which are fibrations of K3 surface, we obtain the solutions of the Picard-Fuchs equations from the periods of K3 surface. By utilizing the expression of periods for two-parameter models of type-II string, we derive the solutions of the Picard-Fuchs equations around the points of enhanced gauge symmetry and show a simple connection to the SU(2) Seiberg-Witten theory. |
1701.05462 | Alexandros Kehagias | Alex Kehagias and Antonio Riotto | Inflation and Conformal Invariance: The Perspective from Radial
Quantization | 41 pages, 4 figures | null | 10.1002/prop.201700023 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the dS/CFT correspondence, correlators of fields generated
during a primordial de Sitter phase are constrained by three-dimensional
conformal invariance. Using the properties of radially quantized conformal
field theories and the operator-state correspondence, we glean information on
some points. The Higuchi bound on the masses of spin-s states in de Sitter is a
direct consequence of reflection positivity in radially quantized CFT$_3$ and
the fact that scaling dimensions of operators are energies of states. The
partial massless states appearing in de Sitter correspond from the boundary
CFT$_3$ perspective to boundary states with highest weight for the conformal
group. We discuss inflationary consistency relations and the role of asymptotic
symmetries which transform asymptotic vacua to new physically inequivalent
vacua by generating long perturbation modes. We show that on the CFT$_3$ side,
asymptotic symmetries have a nice quantum mechanics interpretation. For
instance, acting with the asymptotic dilation symmetry corresponds to evolving
states forward (or backward) in "time" and the charge generating the asymptotic
symmetry transformation is the Hamiltonian itself. Finally, we investigate the
symmetries of anisotropic inflation and show that correlators of
four-dimensional free scalar fields can be reproduced in the dual picture by
considering an isotropic three-dimensional boundary enjoying dilation symmetry,
but with a nonvanishing vacuum expectation value of the boundary stress-energy
momentum tensor.
| [
{
"created": "Thu, 19 Jan 2017 15:12:22 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Kehagias",
"Alex",
""
],
[
"Riotto",
"Antonio",
""
]
] | According to the dS/CFT correspondence, correlators of fields generated during a primordial de Sitter phase are constrained by three-dimensional conformal invariance. Using the properties of radially quantized conformal field theories and the operator-state correspondence, we glean information on some points. The Higuchi bound on the masses of spin-s states in de Sitter is a direct consequence of reflection positivity in radially quantized CFT$_3$ and the fact that scaling dimensions of operators are energies of states. The partial massless states appearing in de Sitter correspond from the boundary CFT$_3$ perspective to boundary states with highest weight for the conformal group. We discuss inflationary consistency relations and the role of asymptotic symmetries which transform asymptotic vacua to new physically inequivalent vacua by generating long perturbation modes. We show that on the CFT$_3$ side, asymptotic symmetries have a nice quantum mechanics interpretation. For instance, acting with the asymptotic dilation symmetry corresponds to evolving states forward (or backward) in "time" and the charge generating the asymptotic symmetry transformation is the Hamiltonian itself. Finally, we investigate the symmetries of anisotropic inflation and show that correlators of four-dimensional free scalar fields can be reproduced in the dual picture by considering an isotropic three-dimensional boundary enjoying dilation symmetry, but with a nonvanishing vacuum expectation value of the boundary stress-energy momentum tensor. |
2310.06048 | Gokhan Alkac | Gokhan Alkac, Mehmet Kemal Gumus, Oguzhan Kasikci, Mehmet Ali Olpak,
Mustafa Tek | Regularized Weyl double copy | Version to appear in PRD | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We propose a regularization procedure in the sourced Weyl double copy, a
spinorial version of the classical double copy, such that it matches much more
general results in the Kerr-Schild version. In the regularized Weyl double
copy, the anti-de Sitter (AdS) and the Lifshitz black holes, which form the
basis of the study of strongly coupled gauge theories at finite temperature
through the AdS/CFT correspondence and its non-relativistic generalization,
become treatable. We believe that this might pave the way for finding out a
relation between the classical double copy and holography.
| [
{
"created": "Mon, 9 Oct 2023 18:02:44 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2023 17:45:25 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Apr 2024 20:52:26 GMT",
"version": "v3"
}
] | 2024-04-12 | [
[
"Alkac",
"Gokhan",
""
],
[
"Gumus",
"Mehmet Kemal",
""
],
[
"Kasikci",
"Oguzhan",
""
],
[
"Olpak",
"Mehmet Ali",
""
],
[
"Tek",
"Mustafa",
""
]
] | We propose a regularization procedure in the sourced Weyl double copy, a spinorial version of the classical double copy, such that it matches much more general results in the Kerr-Schild version. In the regularized Weyl double copy, the anti-de Sitter (AdS) and the Lifshitz black holes, which form the basis of the study of strongly coupled gauge theories at finite temperature through the AdS/CFT correspondence and its non-relativistic generalization, become treatable. We believe that this might pave the way for finding out a relation between the classical double copy and holography. |
hep-th/0507266 | Piero Nicolini | Piero Nicolini | A model of radiating black hole in noncommutative geometry | 10 pages, 4 figures | J.Phys.A38:L631-L638,2005 | 10.1088/0305-4470/38/39/L02 | null | hep-th | null | The phenomenology of a radiating Schwarzschild black hole is analyzed in a
noncommutative spacetime. It is shown that noncommutativity does not depend on
the intensity of the curvature. Thus we legitimately introduce noncommutativity
in the weak field limit by a coordinate coherent state approach. The new
interesting results are the following: i) the existence of a minimal non-zero
mass to which black hole can shrink; ii) a finite maximum temperature that the
black hole can reach before cooling down to absolute zero; iii) the absence of
any curvature singularity. The proposed scenario offers a possible solution to
conventional difficulties when describing terminal phase of black hole
evaporation.
| [
{
"created": "Wed, 27 Jul 2005 14:46:52 GMT",
"version": "v1"
}
] | 2011-02-22 | [
[
"Nicolini",
"Piero",
""
]
] | The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the weak field limit by a coordinate coherent state approach. The new interesting results are the following: i) the existence of a minimal non-zero mass to which black hole can shrink; ii) a finite maximum temperature that the black hole can reach before cooling down to absolute zero; iii) the absence of any curvature singularity. The proposed scenario offers a possible solution to conventional difficulties when describing terminal phase of black hole evaporation. |
0910.5338 | Dimitri Polyakov Dr | Dimitri Polyakov | Interactions of Massless Higher Spin Fields From String Theory | 33 pages, derivation of gauge transformations for higher spin fields
from BRST conditions revised, typos corrected, acknowledgement and references
added | Phys.Rev.D82:066005,2010 | 10.1103/PhysRevD.82.066005 | WITS-CTP-043 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct vertex operators for massless higher spin fields in RNS
superstring theory and compute some of their three-point correlators,
describing gauge-invariant cubic interactions of the massless higher spins. The
Fierz-Pauli on-shell conditions for the higher spins (including tracelessness
and vanishing divergence) follow from the BRST-invariance conditions for the
vertex operators constructed in this paper. The gauge symmetries of the
massless higher spins emerge as a result of the BRST nontriviality conditions
for these operators, being equivalent to transformations with the traceless
gauge parameter in the Fronsdal's approach. The gauge invariance of the
interaction terms of the higher spins is therefore ensured automatically by
that of the vertex operators in string theory. We develop general algorithm to
compute the cubic interactions of the massless higher spins and use it to
explicitly describe the gauge-invariant interaction of two $s=3$ and one $s=4$
massless particles.
| [
{
"created": "Wed, 28 Oct 2009 10:54:39 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Nov 2009 13:36:01 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2009 14:13:59 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Polyakov",
"Dimitri",
""
]
] | We construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell conditions for the higher spins (including tracelessness and vanishing divergence) follow from the BRST-invariance conditions for the vertex operators constructed in this paper. The gauge symmetries of the massless higher spins emerge as a result of the BRST nontriviality conditions for these operators, being equivalent to transformations with the traceless gauge parameter in the Fronsdal's approach. The gauge invariance of the interaction terms of the higher spins is therefore ensured automatically by that of the vertex operators in string theory. We develop general algorithm to compute the cubic interactions of the massless higher spins and use it to explicitly describe the gauge-invariant interaction of two $s=3$ and one $s=4$ massless particles. |
hep-th/9801002 | David A. Lowe | Karl Landsteiner, Esperanza Lopez and David A. Lowe | Duality of Chiral N=1 Supersymmetric Gauge Theories via Branes | 16 pages, 2 figures, TeX, harvmac, tables | JHEP 9802 (1998) 007 | 10.1088/1126-6708/1998/02/007 | BROWN-HET-1107, TUW-97-19 | hep-th | null | Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1
supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and
matter in the symmetric, antisymmetric and (anti)fundamental representations.
Anomaly cancellation is fulfilled by the requirement of a smooth RR 7-form
charge distribution and leads us to the introduction of 8 half D-sixbranes
ending on the NS-fivebrane. We obtain the dual model from branes by a linking
number argument. We check explicitly the 't Hooft anomaly matching conditions
and the map between deformations in the original and the dual model.
| [
{
"created": "Thu, 1 Jan 1998 20:34:21 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Landsteiner",
"Karl",
""
],
[
"Lopez",
"Esperanza",
""
],
[
"Lowe",
"David A.",
""
]
] | Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1 supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and matter in the symmetric, antisymmetric and (anti)fundamental representations. Anomaly cancellation is fulfilled by the requirement of a smooth RR 7-form charge distribution and leads us to the introduction of 8 half D-sixbranes ending on the NS-fivebrane. We obtain the dual model from branes by a linking number argument. We check explicitly the 't Hooft anomaly matching conditions and the map between deformations in the original and the dual model. |
1902.02613 | Iva Lovrekovic | I. Lovrekovic | On two-vierbein gravity action from gauge theory of conformal group | 12 pages | Phys. Rev. D 100, 084012 (2019) | 10.1103/PhysRevD.100.084012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gravity action built from two gauge fields corresponding to the
generators of the conformal group. Starting with the action from which one can
obtain Einstein gravity and conformal gravity upon imposing suitable
constraints, we keep two independent gauge fields and integrate out the field
corresponding to the generator of Lorentz transformations. We identify the two
gauge fields with two vierbeins and perturb them around an Anti--de Sitter
space. This gives the linearized equations that differ from both, Einstein
gravity and conformal gravity linearized equations. We also study the
linearized equations for one gauge field perturbed around the flat space and
one around zero, and the case when the gauge fields are proportional to each
other.
| [
{
"created": "Thu, 7 Feb 2019 13:31:11 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2019 16:45:35 GMT",
"version": "v2"
}
] | 2019-11-15 | [
[
"Lovrekovic",
"I.",
""
]
] | We study the gravity action built from two gauge fields corresponding to the generators of the conformal group. Starting with the action from which one can obtain Einstein gravity and conformal gravity upon imposing suitable constraints, we keep two independent gauge fields and integrate out the field corresponding to the generator of Lorentz transformations. We identify the two gauge fields with two vierbeins and perturb them around an Anti--de Sitter space. This gives the linearized equations that differ from both, Einstein gravity and conformal gravity linearized equations. We also study the linearized equations for one gauge field perturbed around the flat space and one around zero, and the case when the gauge fields are proportional to each other. |
1909.05291 | Diego Garc\'ia Sep\'ulveda | Diego Garc\'ia Sep\'ulveda, Alfredo Guevara | A Soft Theorem for the Tropical Grassmannian | 28 + 9 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the soft limit of a recently proposed generalization of the
biadjoint scalar amplitudes $m^{(k)}_{n}$, which have been conjectured to have
a relation to the tropical Grassmannian $\text{Tr G}(k,n)$. Using the CHY
formulation along with the Global Residue Theorem, we prove the soft
factorization for $m^{(k)}_{n}$ amplitudes for arbitrary $k$ and $n$. We find
that the soft factors are in direct correspondence to vertices of the
associahedron $\mathcal{A}_{k-1}$, and hence take the form of $m^{(2)}_{n}$
amplitudes. This entails that all scattering amplitudes of the ordinary
biadjoint scalar theory can be interpreted as an infinite family of soft
factors. Additionally, Grassmannian duality reveals that generalized amplitudes
$m^{(k)}_{n}$ with $k>2$ satisfy not only a soft theorem, but also a
non-trivial "hard" theorem. We perform numerical checks of our theorems against
previous results for $\text{Tr G}(4,7)$ and $\text{Tr G}(5,8)$, thereby
providing strong evidence of their relation with the CHY formulation.
| [
{
"created": "Wed, 11 Sep 2019 18:34:16 GMT",
"version": "v1"
}
] | 2019-09-13 | [
[
"Sepúlveda",
"Diego García",
""
],
[
"Guevara",
"Alfredo",
""
]
] | We study the soft limit of a recently proposed generalization of the biadjoint scalar amplitudes $m^{(k)}_{n}$, which have been conjectured to have a relation to the tropical Grassmannian $\text{Tr G}(k,n)$. Using the CHY formulation along with the Global Residue Theorem, we prove the soft factorization for $m^{(k)}_{n}$ amplitudes for arbitrary $k$ and $n$. We find that the soft factors are in direct correspondence to vertices of the associahedron $\mathcal{A}_{k-1}$, and hence take the form of $m^{(2)}_{n}$ amplitudes. This entails that all scattering amplitudes of the ordinary biadjoint scalar theory can be interpreted as an infinite family of soft factors. Additionally, Grassmannian duality reveals that generalized amplitudes $m^{(k)}_{n}$ with $k>2$ satisfy not only a soft theorem, but also a non-trivial "hard" theorem. We perform numerical checks of our theorems against previous results for $\text{Tr G}(4,7)$ and $\text{Tr G}(5,8)$, thereby providing strong evidence of their relation with the CHY formulation. |
2303.00310 | Xavier Calmet | Xavier Calmet, Stephen D. H. Hsu and Marco Sebastianutti | Quantum Gravitational Corrections to Particle Creation by Black Holes | null | null | 10.1016/j.physletb.2023.137820 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We calculate quantum gravitational corrections to the amplitude for the
emission of a Hawking particle by a black hole. We show explicitly how the
amplitudes depend on quantum corrections to the exterior metric (quantum hair).
This reveals the mechanism by which information escapes the black hole. The
quantum state of the black hole is reflected in the quantum state of the
exterior metric, which in turn influences the emission of Hawking quanta.
| [
{
"created": "Wed, 1 Mar 2023 08:15:27 GMT",
"version": "v1"
}
] | 2023-06-14 | [
[
"Calmet",
"Xavier",
""
],
[
"Hsu",
"Stephen D. H.",
""
],
[
"Sebastianutti",
"Marco",
""
]
] | We calculate quantum gravitational corrections to the amplitude for the emission of a Hawking particle by a black hole. We show explicitly how the amplitudes depend on quantum corrections to the exterior metric (quantum hair). This reveals the mechanism by which information escapes the black hole. The quantum state of the black hole is reflected in the quantum state of the exterior metric, which in turn influences the emission of Hawking quanta. |
1805.09070 | Yuji Tachikawa | Lakshya Bhardwaj, David R. Morrison, Yuji Tachikawa, and Alessandro
Tomasiello | The frozen phase of F-theory | 58 pages; v3: minor changes; journal version | null | 10.1007/JHEP08(2018)138 | IPMU-18-0001, USCB Math 2018-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interpretation of O7+ planes in F-theory, mainly in the context
of the six-dimensional models. In particular, we study how to assign gauge
algebras and matter content to seven-branes and their intersections, and the
implication of anomaly cancellation in our construction, generalizing earlier
analyses without any O7+ planes. By including O7+ planes we can realize 6d
superconformal field theories hitherto unobtainable in F-theory, such as those
with hypermultiplets in the symmetric representation of su. We also examine a
couple of compact models. These reproduce some famous perturbative models, and
in some cases enhance their gauge symmetries non-perturbatively.
| [
{
"created": "Wed, 23 May 2018 11:58:30 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2018 06:10:52 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Aug 2018 07:03:10 GMT",
"version": "v3"
}
] | 2018-09-26 | [
[
"Bhardwaj",
"Lakshya",
""
],
[
"Morrison",
"David R.",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | We study the interpretation of O7+ planes in F-theory, mainly in the context of the six-dimensional models. In particular, we study how to assign gauge algebras and matter content to seven-branes and their intersections, and the implication of anomaly cancellation in our construction, generalizing earlier analyses without any O7+ planes. By including O7+ planes we can realize 6d superconformal field theories hitherto unobtainable in F-theory, such as those with hypermultiplets in the symmetric representation of su. We also examine a couple of compact models. These reproduce some famous perturbative models, and in some cases enhance their gauge symmetries non-perturbatively. |
2105.08724 | Lakshya Bhardwaj | Fabio Apruzzi, Lakshya Bhardwaj, Jihwan Oh, Sakura Schafer-Nameki | The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs | 97 pages; v2: Added an additional argument for the presence of
2-group symmetry in SU(2)_0 theory in section 3.4, and clarified that the
arguments of the paper take into account the charges of non-BPS states; v3:
Revised Higgs branch interpretation | SciPost Phys. 13, 024 (2022) | 10.21468/SciPostPhys.13.2.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | 2-group symmetries arise when 1-form symmetries and 0-form symmetries of a
theory mix with each other under group multiplication. We discover the
existence of 2-group symmetries in 5d N=1 abelian gauge theories arising on the
(non-extended) Coulomb branch of 5d superconformal field theories (SCFTs),
leading us to argue that the UV 5d SCFT itself admits a 2-group symmetry.
Furthermore, our analysis determines the global forms of the 0-form flavor
symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits
a 1-form symmetry. As a concrete application of our method, we analyze 2-group
symmetries of all 5d SCFTs, which reduce in the IR, after performing mass
deformations, to 5d N=1 non-abelian gauge theories with simple, simply
connected gauge groups. For rank-1 Seiberg theories, we check that our
predictions for the flavor symmetry groups match with the superconformal and
ray indices available in the literature. We also comment on the mixed 't Hooft
anomaly between 1-form and 0-form symmetries arising in 5d N=1 non-abelian
gauge theories and its relation to the 2-groups.
| [
{
"created": "Tue, 18 May 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jun 2021 14:22:13 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2022 18:34:15 GMT",
"version": "v3"
}
] | 2022-08-17 | [
[
"Apruzzi",
"Fabio",
""
],
[
"Bhardwaj",
"Lakshya",
""
],
[
"Oh",
"Jihwan",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | 2-group symmetries arise when 1-form symmetries and 0-form symmetries of a theory mix with each other under group multiplication. We discover the existence of 2-group symmetries in 5d N=1 abelian gauge theories arising on the (non-extended) Coulomb branch of 5d superconformal field theories (SCFTs), leading us to argue that the UV 5d SCFT itself admits a 2-group symmetry. Furthermore, our analysis determines the global forms of the 0-form flavor symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits a 1-form symmetry. As a concrete application of our method, we analyze 2-group symmetries of all 5d SCFTs, which reduce in the IR, after performing mass deformations, to 5d N=1 non-abelian gauge theories with simple, simply connected gauge groups. For rank-1 Seiberg theories, we check that our predictions for the flavor symmetry groups match with the superconformal and ray indices available in the literature. We also comment on the mixed 't Hooft anomaly between 1-form and 0-form symmetries arising in 5d N=1 non-abelian gauge theories and its relation to the 2-groups. |
2404.03215 | Uri Peleg | N. Itzhaki and U. Peleg | When Strings Surprise | 11 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We argue that on-shell excitations with large negative energies are created
rapidly when the string coupling increases with time. This does not indicate an
inconsistency in string theory since the negative energy on-shell excitation is
always entangled with an on-shell excitation with a positive energy. The total
energy of this energy-EPR state vanishes. We discuss the reason the energy-EPR
states appear in string theory and the role they might play in black hole
physics.
| [
{
"created": "Thu, 4 Apr 2024 05:39:48 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2024 19:23:48 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Aug 2024 20:31:33 GMT",
"version": "v3"
}
] | 2024-08-15 | [
[
"Itzhaki",
"N.",
""
],
[
"Peleg",
"U.",
""
]
] | We argue that on-shell excitations with large negative energies are created rapidly when the string coupling increases with time. This does not indicate an inconsistency in string theory since the negative energy on-shell excitation is always entangled with an on-shell excitation with a positive energy. The total energy of this energy-EPR state vanishes. We discuss the reason the energy-EPR states appear in string theory and the role they might play in black hole physics. |
hep-th/9303121 | Sun Chang Pu | Chang-Pu Sun | Quantum Dynamical Model for Wave Function Reduction in Classical and
Macroscopic Limits | ITP.SB-93-14,19 pages | null | 10.1103/PhysRevA.48.898 | null | hep-th | null | In this papper, a quantum dynamical model describing the quantum measurement
process is presented as an extensive generalization of the Coleman-Hepp model.
In both the classical limit with very large quantum number and macroscopic
limit with very large particle number in measuring instrument, this model
generally realizes the wave packet collapse in quantum measurement as a
consequence of the Schrodinger time evolution in either the exactly-solvable
case or the non-(exactly-)solvable case.
For the latter, its quasi-adiabatic case is explicitly analysed by making use
of the high-order adiabatic approximation method and then manifests the wave
packet collapse as well as the exactly-solvable case. By highlighting these
analysis, it is finally found that an essence of the dynamical model of wave
packet collapse is the factorization of the Schrodinger evolution other than
the exact solvability. So many dynamical models including the well-known ones
before, which are exactly-solvable or not, can be shown only to be the concrete
realizations of this factorizability
| [
{
"created": "Mon, 22 Mar 1993 15:29:14 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Sun",
"Chang-Pu",
""
]
] | In this papper, a quantum dynamical model describing the quantum measurement process is presented as an extensive generalization of the Coleman-Hepp model. In both the classical limit with very large quantum number and macroscopic limit with very large particle number in measuring instrument, this model generally realizes the wave packet collapse in quantum measurement as a consequence of the Schrodinger time evolution in either the exactly-solvable case or the non-(exactly-)solvable case. For the latter, its quasi-adiabatic case is explicitly analysed by making use of the high-order adiabatic approximation method and then manifests the wave packet collapse as well as the exactly-solvable case. By highlighting these analysis, it is finally found that an essence of the dynamical model of wave packet collapse is the factorization of the Schrodinger evolution other than the exact solvability. So many dynamical models including the well-known ones before, which are exactly-solvable or not, can be shown only to be the concrete realizations of this factorizability |
1507.08630 | David Kubiznak | David Kubiznak, Fil Simovic | Thermodynamics of horizons: de Sitter black holes and reentrant phase
transitions | 27 pages, 12 figures v3: extended version | null | 10.1088/0264-9381/33/24/245001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we propose a straightforward method for understanding the
thermodynamics of black holes in de Sitter space, one that will allow us to
study these black holes in a way that is analogous to the anti-de Sitter case.
As per usual, we formulate separate thermodynamic first laws for each horizon
present in the spacetime, and study their thermodynamics as if they were
independent systems characterized by their own temperature. That these systems
are not entirely independent and various thermodynamic quantities in them are
in fact "correlated" is reflected by the fact that their thermodynamics can be
captured by a single Gibbs free energy-like thermodynamic potential. This
quantity contains information about possible phase transitions in the system
and allows us to uncover a rich phase structure for de Sitter black holes. In
particular, we discover reentrant phase transitions for Kerr-dS black holes in
six dimensions, a phenomenon recently observed for their six dimensional AdS
cousins.
| [
{
"created": "Thu, 30 Jul 2015 19:08:12 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Aug 2015 17:37:42 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Sep 2016 17:42:30 GMT",
"version": "v3"
}
] | 2016-12-07 | [
[
"Kubiznak",
"David",
""
],
[
"Simovic",
"Fil",
""
]
] | In this paper we propose a straightforward method for understanding the thermodynamics of black holes in de Sitter space, one that will allow us to study these black holes in a way that is analogous to the anti-de Sitter case. As per usual, we formulate separate thermodynamic first laws for each horizon present in the spacetime, and study their thermodynamics as if they were independent systems characterized by their own temperature. That these systems are not entirely independent and various thermodynamic quantities in them are in fact "correlated" is reflected by the fact that their thermodynamics can be captured by a single Gibbs free energy-like thermodynamic potential. This quantity contains information about possible phase transitions in the system and allows us to uncover a rich phase structure for de Sitter black holes. In particular, we discover reentrant phase transitions for Kerr-dS black holes in six dimensions, a phenomenon recently observed for their six dimensional AdS cousins. |
2309.03096 | Hossein Ghaffarnejad | Hossein Ghaffarnejad and Hamid Reza Faghani | Particles creation from JNW quantum perturbed black holes by minimally
coupled Klein Gordon scalar free fields | 29 pages and 2 figures | Journal of cosmology and astroparticle physics 2023 | 10.1088/1475-7516/2023/11/102 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we choose a minimal coupling interaction between massive Klein
Gordon (KG) quantum scalar free fields and Janis-Newman-Winicour (JNW)
spherically symmetric static black hole, to produce its Hawking temperature and
luminosity. This is done by calculating asymptotic wave solutions at near and
far from the black hole horizon. They are orthogonal mode solutions of local
Hilbert spaces. By using these mode solutions, we calculated Bogolubov
coefficients and then, we investigated number density matrix of created
particles. Mathematical calculations show that this is not exactly similar to
the Planck`s black body radiation energy density distribution but, it is "gray"
body radiation distribution depended to the emitted Hawking particles
frequency. Their difference is a non-vanishing absorptivity factor of
backscattered particles after to form horizon of a collapsing body. Our
motivation is determination of position of Hawking created pairs in which, two
different proposals are proposed, so called as "fairwall" and "quantum
atmosphere".
| [
{
"created": "Fri, 1 Sep 2023 22:38:42 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Nov 2023 18:31:49 GMT",
"version": "v2"
}
] | 2023-12-04 | [
[
"Ghaffarnejad",
"Hossein",
""
],
[
"Faghani",
"Hamid Reza",
""
]
] | In this work, we choose a minimal coupling interaction between massive Klein Gordon (KG) quantum scalar free fields and Janis-Newman-Winicour (JNW) spherically symmetric static black hole, to produce its Hawking temperature and luminosity. This is done by calculating asymptotic wave solutions at near and far from the black hole horizon. They are orthogonal mode solutions of local Hilbert spaces. By using these mode solutions, we calculated Bogolubov coefficients and then, we investigated number density matrix of created particles. Mathematical calculations show that this is not exactly similar to the Planck`s black body radiation energy density distribution but, it is "gray" body radiation distribution depended to the emitted Hawking particles frequency. Their difference is a non-vanishing absorptivity factor of backscattered particles after to form horizon of a collapsing body. Our motivation is determination of position of Hawking created pairs in which, two different proposals are proposed, so called as "fairwall" and "quantum atmosphere". |
0805.3438 | Dan Radu Grigore | Dan Radu Grigore | Perturbative Gravity in the Causal Approach | 50 pages, no figures, some changes in the last section | Class.Quant.Grav.27:015013,2010 | 10.1088/0264-9381/27/1/015013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum theory of the gravitation in the causal approach is studied up to the
second order of perturbation theory. We prove gauge invariance and
renormalizability in the second order of perturbation theory for the pure
gravity system (massless and massive). Then we investigate the interaction of
massless gravity with matter (described by scalars and spinors) and massless
Yang-Mills fields. We obtain a difference with respect to the classical field
theory due to the fact that in quantum field theory one cannot enforce the
divergenceless property on the vector potential and this spoils the
divergenceless property of the usual energy-momentum tensor. To correct this
one needs a supplementary ghost term in the interaction Lagrangian.
| [
{
"created": "Thu, 22 May 2008 11:33:08 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Aug 2008 07:13:16 GMT",
"version": "v2"
}
] | 2010-01-06 | [
[
"Grigore",
"Dan Radu",
""
]
] | Quantum theory of the gravitation in the causal approach is studied up to the second order of perturbation theory. We prove gauge invariance and renormalizability in the second order of perturbation theory for the pure gravity system (massless and massive). Then we investigate the interaction of massless gravity with matter (described by scalars and spinors) and massless Yang-Mills fields. We obtain a difference with respect to the classical field theory due to the fact that in quantum field theory one cannot enforce the divergenceless property on the vector potential and this spoils the divergenceless property of the usual energy-momentum tensor. To correct this one needs a supplementary ghost term in the interaction Lagrangian. |
hep-th/0510062 | Michael Karowski | H. Babujian, A. Foerster, and M. Karowski | Exact form factors in integrable quantum field theories: the scaling
Z(N)-Ising model | 36 pages | Nucl.Phys.B736:169-198,2006 | 10.1016/j.nuclphysb.2005.12.001 | null | hep-th | null | A general form factor formula for the scaling Z(N)-Ising model is
constructed. Exact expressions for matrix elements are obtained for several
local operators. In addition, the commutation rules for order, disorder
parameters and para-Fermi fields are derived. Because of the unusual statistics
of the fields, the quantum field theory seems to be not related to any
classical Lagrangian or field equation.
| [
{
"created": "Fri, 7 Oct 2005 09:33:25 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Nov 2005 16:40:46 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Babujian",
"H.",
""
],
[
"Foerster",
"A.",
""
],
[
"Karowski",
"M.",
""
]
] | A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions for matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi fields are derived. Because of the unusual statistics of the fields, the quantum field theory seems to be not related to any classical Lagrangian or field equation. |
1508.00171 | V. Parameswaran Nair | V.P. Nair | Thermofield dynamics and Gravity | LaTeX, 26 pages, one figure | Phys. Rev. D 92, 104009 (2015) | 10.1103/PhysRevD.92.104009 | CCNY-HEP-15/5 | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Thermofield dynamics is presented in terms of a path-integral using coherent
states, equivalently, using a coadjoint orbit action. A field theoretic
formulation in terms of fields on a manifold ${\mathcal M} \times
{\tilde{\mathcal M}}$ where the two components have opposite orientation is
also presented. We propose formulating gravitational dynamics for
noncommutative geometry using thermofield dynamics, doubling the Hilbert space
modeling the noncommutative space. We consider 2+1 dimensions in some detail
and since ${\mathcal M}$ and ${\tilde{\mathcal M}}$ have opposite orientation,
the commutative limit leads to the Einstein-Hilbert action as the difference of
two Chern-Simons actions.
| [
{
"created": "Sat, 1 Aug 2015 22:40:37 GMT",
"version": "v1"
}
] | 2015-11-11 | [
[
"Nair",
"V. P.",
""
]
] | Thermofield dynamics is presented in terms of a path-integral using coherent states, equivalently, using a coadjoint orbit action. A field theoretic formulation in terms of fields on a manifold ${\mathcal M} \times {\tilde{\mathcal M}}$ where the two components have opposite orientation is also presented. We propose formulating gravitational dynamics for noncommutative geometry using thermofield dynamics, doubling the Hilbert space modeling the noncommutative space. We consider 2+1 dimensions in some detail and since ${\mathcal M}$ and ${\tilde{\mathcal M}}$ have opposite orientation, the commutative limit leads to the Einstein-Hilbert action as the difference of two Chern-Simons actions. |
2012.09910 | Pablo Pais | Alfredo Iorio, Pablo Pais | Time-loops in Dirac materials, torsion and unconventional Supersymmetry | 6 pages, 2 Figures; contribution to the Proceedings of the 40th
International Conference on High Energy physics - ICHEP2020, July 28 - August
6, 2020, Prague, Czech Republic (virtual meeting) | null | 10.22323/1.390.0669 | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We propose a scenario where the effects of dislocations, in bidimensional
Dirac materials at low energies, can be described within a Dirac field theory
by a vertex proportional to the totally antisymmetric component of the torsion
generated by such dislocations. The well-known geometrical obstruction to have
a nonzero torsion term of that kind in this two-dimensional settings is
overcome through exotic time-loops, obtained from ingeniously manipulated
particle-hole dynamics. If such torsion/dislocation is indeed present, a net
flow of particles-antiparticles (holes) can be inferred and possibly measured.
Finally, we comment on how these discoveries pave the way to a laboratory
realization on Dirac materials of Unconventional Supersymmetry, as a top-down
description of the $\pi$-electrons in backgrounds with a nonzero torsion.
| [
{
"created": "Thu, 17 Dec 2020 20:11:17 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jan 2021 21:31:22 GMT",
"version": "v2"
}
] | 2022-09-21 | [
[
"Iorio",
"Alfredo",
""
],
[
"Pais",
"Pablo",
""
]
] | We propose a scenario where the effects of dislocations, in bidimensional Dirac materials at low energies, can be described within a Dirac field theory by a vertex proportional to the totally antisymmetric component of the torsion generated by such dislocations. The well-known geometrical obstruction to have a nonzero torsion term of that kind in this two-dimensional settings is overcome through exotic time-loops, obtained from ingeniously manipulated particle-hole dynamics. If such torsion/dislocation is indeed present, a net flow of particles-antiparticles (holes) can be inferred and possibly measured. Finally, we comment on how these discoveries pave the way to a laboratory realization on Dirac materials of Unconventional Supersymmetry, as a top-down description of the $\pi$-electrons in backgrounds with a nonzero torsion. |
hep-th/9610095 | Andrzej Bialas | A. Bialas (Jagellonian University Krakow, Poland) | HBT Interference, Wigner functions and MC Simulations | 9 pages Latex file | null | null | null | hep-th | null | A method of MC simulations including quantum interference, proposed recently
by A.Krzywicki and the present author, is explained.
| [
{
"created": "Mon, 14 Oct 1996 11:59:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bialas",
"A.",
"",
"Jagellonian University Krakow, Poland"
]
] | A method of MC simulations including quantum interference, proposed recently by A.Krzywicki and the present author, is explained. |
2211.01321 | Giacomo Brunello | Giacomo Brunello | Effective Field Theory Approach to General Relativity and Feynman
Diagrams for Coalescing Binary Systems | Master Thesis. arXiv admin note: text overlap with arXiv:1410.1892,
arXiv:hep-ph/0701129, arXiv:1412.3082, arXiv:2103.03190, arXiv:1907.02869,
arXiv:1202.4750 by other authors | null | null | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | In this thesis we elaborate on two different aspects of the Effective Field
Theory (EFT) approach to a Binary Coalescing system in General Relativity (GR).
First, we consider the issue of hereditary effects in the Post-Newtonian (PN)
perturbative scheme, and we compute hereditary diagrams in the far zone region
up to 5PN order, using both Feynman and Schwinger-Keldysh formalism, comparing
our results with those appearing in literature. Then, we focus on the
Post-Minkowskian (PM) perturbative scheme, and we compute the bending angle of
a massless scalar field under the influence of a massive scalar in the EFT of
GR, up to one loop order in dimensional regularisation. Our analysis points to
the existence of relevant terms that were not accounted for in previous study,
which may modify the predictions for physical observables.
| [
{
"created": "Sun, 16 Oct 2022 12:33:33 GMT",
"version": "v1"
}
] | 2022-11-03 | [
[
"Brunello",
"Giacomo",
""
]
] | In this thesis we elaborate on two different aspects of the Effective Field Theory (EFT) approach to a Binary Coalescing system in General Relativity (GR). First, we consider the issue of hereditary effects in the Post-Newtonian (PN) perturbative scheme, and we compute hereditary diagrams in the far zone region up to 5PN order, using both Feynman and Schwinger-Keldysh formalism, comparing our results with those appearing in literature. Then, we focus on the Post-Minkowskian (PM) perturbative scheme, and we compute the bending angle of a massless scalar field under the influence of a massive scalar in the EFT of GR, up to one loop order in dimensional regularisation. Our analysis points to the existence of relevant terms that were not accounted for in previous study, which may modify the predictions for physical observables. |
1908.04878 | Oswaldo Monteiro Del Cima | W.B. De Lima, O.M. Del Cima, E.S. Miranda | On the ultraviolet finiteness of parity-preserving $U(1) \times U(1)$
massive QED$_3$ | 10 pages | Annals of Physics 430 (2021) 168504 | 10.1016/j.aop.2021.168504 | null | hep-th cond-mat.other cond-mat.supr-con math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The parity-preserving $U_A(1)\times U_a(1)$ massive QED$_3$ is ultraviolet
finiteness -- exhibits vanishing $\beta$-functions, associated to the gauge
coupling constants (electric and pseudochiral charges) and the Chern-Simons
mass parameter, and all the anomalous dimensions of the fields -- as well as is
parity and gauge anomaly free at all orders in perturbation theory. The proof
is independent of any regularization scheme and it is based on the quantum
action principle in combination with general theorems of perturbative quantum
field theory by adopting the Becchi-Rouet-Stora (BRS) algebraic renormalization
method in the framework of Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ)
subtraction scheme.
| [
{
"created": "Tue, 13 Aug 2019 22:23:37 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2019 14:43:30 GMT",
"version": "v2"
},
{
"created": "Wed, 19 May 2021 17:13:29 GMT",
"version": "v3"
}
] | 2021-05-20 | [
[
"De Lima",
"W. B.",
""
],
[
"Del Cima",
"O. M.",
""
],
[
"Miranda",
"E. S.",
""
]
] | The parity-preserving $U_A(1)\times U_a(1)$ massive QED$_3$ is ultraviolet finiteness -- exhibits vanishing $\beta$-functions, associated to the gauge coupling constants (electric and pseudochiral charges) and the Chern-Simons mass parameter, and all the anomalous dimensions of the fields -- as well as is parity and gauge anomaly free at all orders in perturbation theory. The proof is independent of any regularization scheme and it is based on the quantum action principle in combination with general theorems of perturbative quantum field theory by adopting the Becchi-Rouet-Stora (BRS) algebraic renormalization method in the framework of Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) subtraction scheme. |
1503.05982 | Henrique Boschi-Filho | Edward Quijada and Henrique Boschi-Filho | Wilson Loops for M2- and M5-brane spaces | Cover + 14 pages. The manuscript was completely rewritten due to
fundamental errors in the previous version | Phys. Rev. D 92, 066010 (2015) | 10.1103/PhysRevD.92.066010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate configuration energies of string-like membranes in M2- and
M5-brane spaces. In the near horizon approximation these backgrounds reduce to
$AdS_4\times S^7$ and $AdS_7\times S^4$ spaces and the dual theories are
supersymmetric $SU(N)$ gauge theories, in accordance with the AdS/CFT
correspondence. In this case the string-like configuration energy is identified
with the quark and anti-quark energy interaction in the dual theories. Far from
the horizon the dual theory is more involved but any how we were able to
calculate the string-like configuration energy. For limiting regimes we find
simpler solutions for which some potentials exhibit a confinement behavior
while others are non-confining.
| [
{
"created": "Fri, 20 Mar 2015 02:57:14 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2015 20:00:28 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"Quijada",
"Edward",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | We calculate configuration energies of string-like membranes in M2- and M5-brane spaces. In the near horizon approximation these backgrounds reduce to $AdS_4\times S^7$ and $AdS_7\times S^4$ spaces and the dual theories are supersymmetric $SU(N)$ gauge theories, in accordance with the AdS/CFT correspondence. In this case the string-like configuration energy is identified with the quark and anti-quark energy interaction in the dual theories. Far from the horizon the dual theory is more involved but any how we were able to calculate the string-like configuration energy. For limiting regimes we find simpler solutions for which some potentials exhibit a confinement behavior while others are non-confining. |
hep-th/9406091 | Jacques Distler | Jacques Distler and Shamit Kachru | Quantum Symmetries and Stringy Instantons | 14pp, harvmac, PUPT--1464 | Phys.Lett.B336:368-375,1994 | 10.1016/0370-2693(94)90547-9 | null | hep-th | null | The quantum symmetry of many \LG\ orbifolds appears to be broken by
Yang-Mills instantons. However, isolated Yang-Mills instantons are not
solutions of string theory: They must be accompanied by gauge anti-instantons,
gravitational instantons, or topologically non-trivial configurations of the
$H$ field. We check that the configurations permitted in string theory do in
fact preserve the quantum symmetry, as a result of non-trivial cancellations
between symmetry breaking effects due to the various types of instantons. These
cancellations indicate new constraints on \LG\ orbifold spectra and require
that the dilaton modulus mix with the twisted moduli in some \LG\
compactifications. We point out that one can find similar constraints at all
fixed points of the modular group of the moduli space of vacua.
| [
{
"created": "Tue, 14 Jun 1994 18:23:11 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Distler",
"Jacques",
""
],
[
"Kachru",
"Shamit",
""
]
] | The quantum symmetry of many \LG\ orbifolds appears to be broken by Yang-Mills instantons. However, isolated Yang-Mills instantons are not solutions of string theory: They must be accompanied by gauge anti-instantons, gravitational instantons, or topologically non-trivial configurations of the $H$ field. We check that the configurations permitted in string theory do in fact preserve the quantum symmetry, as a result of non-trivial cancellations between symmetry breaking effects due to the various types of instantons. These cancellations indicate new constraints on \LG\ orbifold spectra and require that the dilaton modulus mix with the twisted moduli in some \LG\ compactifications. We point out that one can find similar constraints at all fixed points of the modular group of the moduli space of vacua. |
hep-th/9407036 | Fernando Tadeu C. Brandt | Fernando T. Brandt, Josif Frenkel and John C. Taylor | Nonlinear interaction between electromagnetic fields at high temperature | 13 pages, DAMTP 94/34 | Phys.Rev.D50:4110-4116,1994 | 10.1103/PhysRevD.50.4110 | null | hep-th hep-ph | null | The electron-positron `box' diagram produces an effective action which is
fourth order in the electromagnetic field. We examine the behaviour of this
effective action at high-temperature (in analytically continued imaginary-time
thermal perturbation theory). We argue that there is a finite, nonzero limit as
$T\rightarrow \infty$ (where $T$ is the temperature). We calculate this limit
in the nonrelativistic static case, and in the long-wavelength limit. We also
briefly discuss the self-energy in 2-dimensional QED, which is similar in some
respects.
| [
{
"created": "Wed, 6 Jul 1994 12:20:27 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Brandt",
"Fernando T.",
""
],
[
"Frenkel",
"Josif",
""
],
[
"Taylor",
"John C.",
""
]
] | The electron-positron `box' diagram produces an effective action which is fourth order in the electromagnetic field. We examine the behaviour of this effective action at high-temperature (in analytically continued imaginary-time thermal perturbation theory). We argue that there is a finite, nonzero limit as $T\rightarrow \infty$ (where $T$ is the temperature). We calculate this limit in the nonrelativistic static case, and in the long-wavelength limit. We also briefly discuss the self-energy in 2-dimensional QED, which is similar in some respects. |
hep-th/0405048 | Vijay Balasubramanian | Vijay Balasubramanian, Thomas S. Levi | Beyond the veil: Inner horizon instability and holography | 40 pages, LaTeX, 3 eps figures, v2: references added | Phys.Rev. D70 (2004) 106005 | 10.1103/PhysRevD.70.106005 | UPR-T-1079 | hep-th gr-qc | null | We show that scalar perturbations of the eternal, rotating BTZ black hole
should lead to an instability of the inner (Cauchy) horizon, preserving strong
cosmic censorship. Because of backscattering from the geometry, plane wave
modes have a divergent stress tensor at the event horizon, but suitable
wavepackets avoid this difficulty, and are dominated at late times by
quasinormal behavior. The wavepackets have cuts in the complexified coordinate
plane that are controlled by requirements of continuity, single-valuedness and
positive energy. Due to a focusing effect, regular wavepackets nevertheless
have a divergent stress-energy at the inner horizon, signaling an instability.
This instability, which is localized behind the event horizon, is detected
holographically as a breakdown in the semiclassical computation of dual CFT
expectation values in which the analytic behavior of wavepackets in the
complexified coordinate plane plays an integral role. In the dual field theory,
this is interpreted as an encoding of physics behind the horizon in the
entanglement between otherwise independent CFTs.
| [
{
"created": "Thu, 6 May 2004 18:09:29 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2004 17:58:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Levi",
"Thomas S.",
""
]
] | We show that scalar perturbations of the eternal, rotating BTZ black hole should lead to an instability of the inner (Cauchy) horizon, preserving strong cosmic censorship. Because of backscattering from the geometry, plane wave modes have a divergent stress tensor at the event horizon, but suitable wavepackets avoid this difficulty, and are dominated at late times by quasinormal behavior. The wavepackets have cuts in the complexified coordinate plane that are controlled by requirements of continuity, single-valuedness and positive energy. Due to a focusing effect, regular wavepackets nevertheless have a divergent stress-energy at the inner horizon, signaling an instability. This instability, which is localized behind the event horizon, is detected holographically as a breakdown in the semiclassical computation of dual CFT expectation values in which the analytic behavior of wavepackets in the complexified coordinate plane plays an integral role. In the dual field theory, this is interpreted as an encoding of physics behind the horizon in the entanglement between otherwise independent CFTs. |
1103.3920 | Ahmed Jellal | Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi | Electromagnetic Excitations of Hall Systems on Four Dimensional Space | 20 pages. Version to appear in IJGMMP (2011) | null | 10.1142/S0219887811005749 | null | hep-th cond-mat.mes-hall math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The noncommutativity of a four-dimensional phase space is introduced from a
purely symplectic point of view. We show that there is always a coordinate map
to locally eliminate the gauge fluctuations inducing the deformation of the
symplectic structure. This uses the Moser's lemma; a refined version of the
celebrated Darboux theorem. We discuss the relation between the coordinates
change arising from Moser's lemma and the Seiberg--Witten map. As illustration,
we consider the quantum Hall systems on CP^2. We derive the action describing
the electromagnetic interaction of Hall droplets. In particular, we show that
the velocities of the edge field, along the droplet boundary, are
noncommutativity parameters-dependents.
| [
{
"created": "Mon, 21 Mar 2011 05:01:58 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Daoud",
"Mohammed",
""
],
[
"Jellal",
"Ahmed",
""
],
[
"Guejdi",
"Abdellah Oueld",
""
]
] | The noncommutativity of a four-dimensional phase space is introduced from a purely symplectic point of view. We show that there is always a coordinate map to locally eliminate the gauge fluctuations inducing the deformation of the symplectic structure. This uses the Moser's lemma; a refined version of the celebrated Darboux theorem. We discuss the relation between the coordinates change arising from Moser's lemma and the Seiberg--Witten map. As illustration, we consider the quantum Hall systems on CP^2. We derive the action describing the electromagnetic interaction of Hall droplets. In particular, we show that the velocities of the edge field, along the droplet boundary, are noncommutativity parameters-dependents. |
hep-th/9811092 | Dmitri Vassilevich | W. Kummer, D.V. Vassilevich | Effective action and Hawking radiation for dilaton coupled scalars in
two dimensions | latex, no figures, no macros, clarifying remarks on the effective
action approach are added | Phys. Rev. D 60, 084021 (1999) | 10.1103/PhysRevD.60.084021 | TUW--98--22 | hep-th | null | The effective one-loop action for general dilaton theories with arbitrary
dilaton-dependent measure and nonminimal coupling to scalar matter is computed.
As an application we determine the Hawking flux to infinity from black holes in
d-dimensions. We resolve the recently resurrected problem of an apparent
negative flux for nonminimally coupled scalars: For any $D \geq 4$ Black Hole
the complete flux turns out to be precisely the one of minimal coupling. This
result is obtained from a Christensen-Fulling type argument involving the
(non-)conservation of energy-momentum. It is compared with approaches using the
effective action.
| [
{
"created": "Tue, 10 Nov 1998 18:22:29 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 1998 15:53:15 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Nov 1998 16:09:34 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Kummer",
"W.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | The effective one-loop action for general dilaton theories with arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking flux to infinity from black holes in d-dimensions. We resolve the recently resurrected problem of an apparent negative flux for nonminimally coupled scalars: For any $D \geq 4$ Black Hole the complete flux turns out to be precisely the one of minimal coupling. This result is obtained from a Christensen-Fulling type argument involving the (non-)conservation of energy-momentum. It is compared with approaches using the effective action. |
hep-th/0307206 | Norisuke Sakai | Minoru Eto, Nobuhito Maru and Norisuke Sakai | Stability and Fluctuations on Walls in N=1 Supergravity | 30 pages, 7 figures | Nucl.Phys. B673 (2003) 98-130 | 10.1016/j.nuclphysb.2003.09.025 | TIT/HEP-499 | hep-th | null | The recently found non-BPS multi-wall configurations in the N=1 supergravity
in four dimensions is shown to have no tachyonic scalar fluctuations without
additional stabilization mechanisms. Mass of radion (lightest massive
fluctuation) is found to be proportional to $Lambda {\rm e}^{-\pi\Lambda R/2}$,
where $\Lambda $ is the inverse width of the wall and $ R$ is the radius of
compactified dimension. We obtain localized massless graviton and gravitino
forming a supermultiplet with respect to the Killing spinor. The relation
between the bulk energy density and the boundary energy density (cosmological
constants) is an automatic consequence of the field equation and Einstein
equation. In the limit of vanishing gravitational coupling, the Nambu-Goldstone
modes are reproduced.
| [
{
"created": "Tue, 22 Jul 2003 05:05:12 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Eto",
"Minoru",
""
],
[
"Maru",
"Nobuhito",
""
],
[
"Sakai",
"Norisuke",
""
]
] | The recently found non-BPS multi-wall configurations in the N=1 supergravity in four dimensions is shown to have no tachyonic scalar fluctuations without additional stabilization mechanisms. Mass of radion (lightest massive fluctuation) is found to be proportional to $Lambda {\rm e}^{-\pi\Lambda R/2}$, where $\Lambda $ is the inverse width of the wall and $ R$ is the radius of compactified dimension. We obtain localized massless graviton and gravitino forming a supermultiplet with respect to the Killing spinor. The relation between the bulk energy density and the boundary energy density (cosmological constants) is an automatic consequence of the field equation and Einstein equation. In the limit of vanishing gravitational coupling, the Nambu-Goldstone modes are reproduced. |
2006.10959 | Clifford V. Johnson | Clifford V. Johnson | Explorations of Non-Perturbative JT Gravity and Supergravity | 23 pages, 35 figures (!), one trumpet and some saxophones; v2: Extra
subsections added with more results and techniques for understanding spectral
densities, remarkable confirmation (and extension) of a formula of Stanford
and Witten, and identification of instanton corrections. New detailed results
at smaller hbar included. Improvements to figures; v3: Improved discussion | Phys. Rev. D 103, 046013 (2021) | 10.1103/PhysRevD.103.046013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some recently proposed definitions of Jackiw-Teitelboim gravity and
supergravities in terms of combinations of minimal string models are explored,
with a focus on physics beyond the perturbative expansion in spacetime
topology. While this formally involves solving infinite order non-linear
differential equations, it is shown that the physics can be extracted to
arbitrarily high accuracy in a simple controlled truncation scheme, using a
combination of analytical and numerical methods. The non-perturbative spectral
densities are explicitly computed and exhibited. The full spectral form
factors, involving crucial non-perturbative contributions from wormhole
geometries, are also computed and displayed, showing the non-perturbative
details of the characteristic `slope', `dip', `ramp' and `plateau' features. It
is emphasized that results of this kind can most likely be readily extracted
for other types of JT gravity using the same methods.
| [
{
"created": "Fri, 19 Jun 2020 04:59:59 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jul 2020 23:52:09 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Dec 2020 17:41:00 GMT",
"version": "v3"
}
] | 2021-02-24 | [
[
"Johnson",
"Clifford V.",
""
]
] | Some recently proposed definitions of Jackiw-Teitelboim gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this formally involves solving infinite order non-linear differential equations, it is shown that the physics can be extracted to arbitrarily high accuracy in a simple controlled truncation scheme, using a combination of analytical and numerical methods. The non-perturbative spectral densities are explicitly computed and exhibited. The full spectral form factors, involving crucial non-perturbative contributions from wormhole geometries, are also computed and displayed, showing the non-perturbative details of the characteristic `slope', `dip', `ramp' and `plateau' features. It is emphasized that results of this kind can most likely be readily extracted for other types of JT gravity using the same methods. |
1011.5218 | Matthias Wapler | Bum-Hoon Lee and Matthias C. Wapler | Three Roads to Probe-Brane Superconductivity | 35 pages, 27 figures; fixed typos, added reference, minor structural
changes and re-phrasings, final version to be published in JHEP | JHEP 1102:085,2011 | 10.1007/JHEP02(2011)085 | null | hep-th cond-mat.str-el cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a defect system of two parallel D5 probe branes in a large-N_c D3
background. Using the non-abelian DBI action, we study three different fields
that can give rise to a superconducting phase transition: A vector (p-wave), a
scalar corresponding to a non-trivial "separation"' of the branes in the (3+1)
field theory directions and a scalar corresponding to a separation in the
"internal" S^5 (both s-wave).
Comparing these phases first in the \alpha'^2 expansion, we find that the
internal scalar has the largest critical temperature and is always
thermodynamically preferred. Further, there is an interesting attractor
behavior.
Taking a simplified version of the full DBI action that preserves its
regularity and geometry, we find that the divergences of the \alpha'^2
expansion are resolved and some second order transitions turn into first order
ones. In addition to some other changes of the phase diagram due to the
structure of the DBI action, we observe that the ground state degeneracy of the
unbroken theory is lifted. We also isolate the unphysical artifacts of our
simplification.
| [
{
"created": "Tue, 23 Nov 2010 20:56:29 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2011 08:50:10 GMT",
"version": "v2"
}
] | 2011-03-18 | [
[
"Lee",
"Bum-Hoon",
""
],
[
"Wapler",
"Matthias C.",
""
]
] | We study a defect system of two parallel D5 probe branes in a large-N_c D3 background. Using the non-abelian DBI action, we study three different fields that can give rise to a superconducting phase transition: A vector (p-wave), a scalar corresponding to a non-trivial "separation"' of the branes in the (3+1) field theory directions and a scalar corresponding to a separation in the "internal" S^5 (both s-wave). Comparing these phases first in the \alpha'^2 expansion, we find that the internal scalar has the largest critical temperature and is always thermodynamically preferred. Further, there is an interesting attractor behavior. Taking a simplified version of the full DBI action that preserves its regularity and geometry, we find that the divergences of the \alpha'^2 expansion are resolved and some second order transitions turn into first order ones. In addition to some other changes of the phase diagram due to the structure of the DBI action, we observe that the ground state degeneracy of the unbroken theory is lifted. We also isolate the unphysical artifacts of our simplification. |
hep-th/0404144 | E. Ragoucy | V. Caudrelier, M. Mintchev and E. Ragoucy | The quantum non-linear Schrodinger model with point-like defect | Comments on the integrability and the impurity free limit added | J.Phys. A37 (2004) L367-L376 | 10.1088/0305-4470/37/30/L02 | IFUP-TH15/2004 and LAPTH-1037/04 | hep-th math-ph math.MP | null | We establish a family of point-like impurities which preserve the quantum
integrability of the non-linear Schrodinger model in 1+1 space-time dimensions.
We briefly describe the construction of the exact second quantized solution of
this model in terms of an appropriate reflection-transmission algebra. The
basic physical properties of the solution, including the space-time symmetry of
the bulk scattering matrix, are also discussed.
| [
{
"created": "Tue, 20 Apr 2004 13:10:53 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2004 11:37:06 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Caudrelier",
"V.",
""
],
[
"Mintchev",
"M.",
""
],
[
"Ragoucy",
"E.",
""
]
] | We establish a family of point-like impurities which preserve the quantum integrability of the non-linear Schrodinger model in 1+1 space-time dimensions. We briefly describe the construction of the exact second quantized solution of this model in terms of an appropriate reflection-transmission algebra. The basic physical properties of the solution, including the space-time symmetry of the bulk scattering matrix, are also discussed. |
1604.06704 | Katsuki Aoki | Katsuki Aoki and Shinji Mukohyama | Massive gravitons as dark matter and gravitational waves | 14 pages, 2 figures; v2: minor improvements, references added,
published version | Phys. Rev. D 94, 024001 (2016) | 10.1103/PhysRevD.94.024001 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the possibility that the massive graviton is a viable candidate
of dark matter in the context of bimetric gravity. We first derive the
energy-momentum tensor of the massive graviton and show that it indeed behaves
as that of dark matter fluid. We then discuss a production mechanism and the
present abundance of massive gravitons as dark matter. Since the metric to
which ordinary matter fields couple is a linear combination of the two mass
eigenstates of bigravity, production of massive gravitons, i.e. the dark matter
particles, is inevitably accompanied by generation of massless gravitons, i.e.
the gravitational waves. Therefore, in this scenario some information about
dark matter in our universe is encoded in gravitational waves. For instance, if
LIGO detects gravitational waves generated by the preheating after inflation
then the massive graviton with the mass of $\sim 0.01$ GeV is a candidate of
the dark matter.
| [
{
"created": "Fri, 22 Apr 2016 15:17:07 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 02:44:53 GMT",
"version": "v2"
}
] | 2016-07-19 | [
[
"Aoki",
"Katsuki",
""
],
[
"Mukohyama",
"Shinji",
""
]
] | We consider the possibility that the massive graviton is a viable candidate of dark matter in the context of bimetric gravity. We first derive the energy-momentum tensor of the massive graviton and show that it indeed behaves as that of dark matter fluid. We then discuss a production mechanism and the present abundance of massive gravitons as dark matter. Since the metric to which ordinary matter fields couple is a linear combination of the two mass eigenstates of bigravity, production of massive gravitons, i.e. the dark matter particles, is inevitably accompanied by generation of massless gravitons, i.e. the gravitational waves. Therefore, in this scenario some information about dark matter in our universe is encoded in gravitational waves. For instance, if LIGO detects gravitational waves generated by the preheating after inflation then the massive graviton with the mass of $\sim 0.01$ GeV is a candidate of the dark matter. |
hep-th/9404104 | null | Alexander MOROZ | Single-Particle Density of States for the Aharonov-Bohm Potential and
Instability of Matter with Anomalous Magnetic Moment in 2+1 Dimensions | (sign change in Eq.'s (30-31), 2 references added) 11pp. plain latex,
IPNO/TH 94-20 | null | null | null | hep-th cond-mat | null | In the nonrelativistic case we find that whenever the relation $mc^2/e^2
<X(\al,g_m)$ is satisfied, where $\al$ is a flux in the units of the flux
quantum, $g_m$ is magnetic moment, and $X(\al,g_m)$ is some function that is
nonzero only for $g_m>2$ (note that $g_m=2.00232$ for the electron), then the
matter is unstable against formation of the flux $\al$. The result persists
down to $g_m=2$ provided the Aharonov-Bohm potential is supplemented with a
short range attractive potential. We also show that whenever a bound state is
present in the spectrum it is always accompanied by a resonance with the energy
proportional to the absolute value of the binding energy. is considered.
For the Klein-Gordon equation with the Pauli coupling which exists in (2+1)
dimensions without any reference to a spin the matter is again unstable for
$g_m>2$. The results are obtained by calculating the change of the density of
states induced by the Aharonov-Bohm potential. The Krein-Friedel formula for
this long-ranged potential is shown to be valid when supplemented with zeta
function regularization. PACS : 03.65.Bz, 03-70.+k, 03-80.+r, 05.30.Fk
| [
{
"created": "Mon, 18 Apr 1994 09:13:25 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 1994 18:53:54 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"MOROZ",
"Alexander",
""
]
] | In the nonrelativistic case we find that whenever the relation $mc^2/e^2 <X(\al,g_m)$ is satisfied, where $\al$ is a flux in the units of the flux quantum, $g_m$ is magnetic moment, and $X(\al,g_m)$ is some function that is nonzero only for $g_m>2$ (note that $g_m=2.00232$ for the electron), then the matter is unstable against formation of the flux $\al$. The result persists down to $g_m=2$ provided the Aharonov-Bohm potential is supplemented with a short range attractive potential. We also show that whenever a bound state is present in the spectrum it is always accompanied by a resonance with the energy proportional to the absolute value of the binding energy. is considered. For the Klein-Gordon equation with the Pauli coupling which exists in (2+1) dimensions without any reference to a spin the matter is again unstable for $g_m>2$. The results are obtained by calculating the change of the density of states induced by the Aharonov-Bohm potential. The Krein-Friedel formula for this long-ranged potential is shown to be valid when supplemented with zeta function regularization. PACS : 03.65.Bz, 03-70.+k, 03-80.+r, 05.30.Fk |
hep-th/9512203 | Ashoke Sen | Ashoke Sen | T-Duality of p-Branes | LaTeX file, 8 pages, a reference corrected | Mod.Phys.Lett.A11:827-834,1996 | 10.1142/S0217732396000837 | MRI-PHY/28/95 | hep-th | null | We investigate possible existence of duality symmetries which exchange the
Kaluza-Klein modes with the wrapping modes of a BPS saturated $p$-brane on a
torus. Assuming the validity of the conjectured $U$-duality symmetries of type
II and heterotic string theories and $M$-theory, we show that for a BPS
saturated $p$-brane there is an SL(2,Z) symmetry that mixes the Kaluza-Klein
modes on a $(p+1)$ dimensional torus $T^{(p+1)}$ with the wrapping modes of the
$p$-brane on $T^{(p+1)}$. The field that transforms as a modular parameter
under this SL(2,Z) transformation has as its real part the component of the
$(p+1)$-form gauge field on $T^{(p+1)}$, and as its imaginary part the volume
of $T^{(p+1)}$, measured in the metric that couples naturally to the $p$-brane.
| [
{
"created": "Thu, 28 Dec 1995 00:04:16 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Feb 1996 00:57:27 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We investigate possible existence of duality symmetries which exchange the Kaluza-Klein modes with the wrapping modes of a BPS saturated $p$-brane on a torus. Assuming the validity of the conjectured $U$-duality symmetries of type II and heterotic string theories and $M$-theory, we show that for a BPS saturated $p$-brane there is an SL(2,Z) symmetry that mixes the Kaluza-Klein modes on a $(p+1)$ dimensional torus $T^{(p+1)}$ with the wrapping modes of the $p$-brane on $T^{(p+1)}$. The field that transforms as a modular parameter under this SL(2,Z) transformation has as its real part the component of the $(p+1)$-form gauge field on $T^{(p+1)}$, and as its imaginary part the volume of $T^{(p+1)}$, measured in the metric that couples naturally to the $p$-brane. |
0704.2538 | Pawel Maslanka | K. Bolonek, P. Kosinski | Note on charge interaction in NQED | 4 pages, 1 figure | null | null | null | hep-th | null | The interaction of charges in NQED is discussed. It is shown that the
relativistic correction have the same form as in the commutative case provided
the Weyl ordering rule is used.
| [
{
"created": "Thu, 19 Apr 2007 14:08:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bolonek",
"K.",
""
],
[
"Kosinski",
"P.",
""
]
] | The interaction of charges in NQED is discussed. It is shown that the relativistic correction have the same form as in the commutative case provided the Weyl ordering rule is used. |
1703.08460 | Sara Pasquetti | Francesco Benini, Sergio Benvenuti, Sara Pasquetti | SUSY monopole potentials in 2+1 dimensions | 40 pages, 4 figures | JHEP 1708, 086 (2017) | 10.1007/JHEP08(2017)086 | SISSA 11/2017/MATE-FISI, 19/2017/FISI | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge theories in 2+1 dimensions can admit monopole operators in the
potential. Starting with the theory without monopole potential, if the monopole
potential is relevant there is an RG flow to the monopole-deformed theory.
Here, focusing on U(Nc) SQCD with Nf flavors and N=2 supersymmetry, we show
that even when the monopole potential is irrelevant, the monopole-modified
theory Tm can exist and enjoy Seiberg-like dualities. We provide a
renormalizable UV completion of Tm and an electric-magnetic dual description
Tm'. We subject our proposal to various consistency checks such as mass
deformations and three-sphere partition functions checks. We observe that Tm is
the S-duality wall of 4D N=2 SQCD. We also consider monopole-deformed theories
with Chern-Simons couplings and their duals.
| [
{
"created": "Fri, 24 Mar 2017 15:28:17 GMT",
"version": "v1"
}
] | 2019-07-17 | [
[
"Benini",
"Francesco",
""
],
[
"Benvenuti",
"Sergio",
""
],
[
"Pasquetti",
"Sara",
""
]
] | Gauge theories in 2+1 dimensions can admit monopole operators in the potential. Starting with the theory without monopole potential, if the monopole potential is relevant there is an RG flow to the monopole-deformed theory. Here, focusing on U(Nc) SQCD with Nf flavors and N=2 supersymmetry, we show that even when the monopole potential is irrelevant, the monopole-modified theory Tm can exist and enjoy Seiberg-like dualities. We provide a renormalizable UV completion of Tm and an electric-magnetic dual description Tm'. We subject our proposal to various consistency checks such as mass deformations and three-sphere partition functions checks. We observe that Tm is the S-duality wall of 4D N=2 SQCD. We also consider monopole-deformed theories with Chern-Simons couplings and their duals. |
0909.0959 | Abhishek Agarwal | Abhishek Agarwal | A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in
D=2+1 | Minor stylistic changes made, typos corrected and relation to
arXiv:0806.4292 [hep-th]] clarified in the `introduction' of the latest
version | null | 10.1103/PhysRevD.80.105020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved
by using a non-local gauge and Poincare invariant mass term for gluons due to
Nair. The underlying supersymmetry algebra is shown to be a non-central
extension of the Poincare algebra by the spacetime rotation group so(3). The
incorporation of Chern-Simons couplings in the formalism is also presented. The
dimensional reduction of the gauge theory and the SUSY algebra is related to a
massive N=2 massive matrix quantum mechanics based on euclidean
$Clifford_2(R)$.
| [
{
"created": "Fri, 4 Sep 2009 20:57:37 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2009 20:41:26 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Agarwal",
"Abhishek",
""
]
] | We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional reduction of the gauge theory and the SUSY algebra is related to a massive N=2 massive matrix quantum mechanics based on euclidean $Clifford_2(R)$. |
hep-th/9109016 | Mazzitelli Diego F. | F.D. Mazzitelli and N. Mohammedi | Classical Gravity Coupled to Liouville Theory | 24 pages (important changes) | Nucl.Phys. B401 (1993) 239-256 | 10.1016/0550-3213(93)90304-8 | IC/91/238 Revised Version | hep-th | null | We consider the two dimensional Jackiw-Teitelboim model of gravity. We first
couple the model to the Liouville action and $c$ scalar fields and show,
treating the combined system as a non linear sigma model, that the resulting
theory can be interpreted as a critical string moving in a target space of
dimension $D=c+2$. We then analyse perturbatively a generalised model
containing a kinetic term and an arbitrary potential for the auxiliary field.
We use the background field method and work with covariant gauges. We show that
the renormalisability of the theory depends on the form of the potential. For a
general potential, the theory can be renormalised as a non linear sigma model.
In the particular case of a Liouville-like potential, the theory is
renormalisable in the usual sense.
| [
{
"created": "Wed, 11 Sep 1991 13:42:09 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 1992 11:23:35 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Mazzitelli",
"F. D.",
""
],
[
"Mohammedi",
"N.",
""
]
] | We consider the two dimensional Jackiw-Teitelboim model of gravity. We first couple the model to the Liouville action and $c$ scalar fields and show, treating the combined system as a non linear sigma model, that the resulting theory can be interpreted as a critical string moving in a target space of dimension $D=c+2$. We then analyse perturbatively a generalised model containing a kinetic term and an arbitrary potential for the auxiliary field. We use the background field method and work with covariant gauges. We show that the renormalisability of the theory depends on the form of the potential. For a general potential, the theory can be renormalised as a non linear sigma model. In the particular case of a Liouville-like potential, the theory is renormalisable in the usual sense. |
0911.3382 | John Klauder | John R. Klauder | New Affine Coherent States based on Elements of Nonrenormalizable Scalar
Field Models | 19 pages, version accepted by journal (clarified a derivation and
corrected several additional typos) | Adv.Math.Phys.2010:191529 | 10.1155/2010/191529 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent proposals for a nontrivial quantization of covariant,
nonrenormalizable, self-interacting, scalar quantum fields have emphasized the
importance of quantum fields that obey affine commutation relations rather than
canonical commutation relations. When formulated on a spacetime lattice, such
models have a lattice version of the associated ground state, and this vector
is used as the fiducial vector for the definition of the associated affine
coherent states, thus ensuring that in the continuum limit, the affine field
operators are compatible with the system Hamiltonian. In this article, we
define and analyze the associated affine coherent states as well as briefly
review the author's approach to nontrivial formulations of such
nonrenormalizable models.
| [
{
"created": "Tue, 17 Nov 2009 19:23:37 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2010 20:57:53 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jul 2010 01:29:39 GMT",
"version": "v3"
}
] | 2011-03-28 | [
[
"Klauder",
"John R.",
""
]
] | Recent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical commutation relations. When formulated on a spacetime lattice, such models have a lattice version of the associated ground state, and this vector is used as the fiducial vector for the definition of the associated affine coherent states, thus ensuring that in the continuum limit, the affine field operators are compatible with the system Hamiltonian. In this article, we define and analyze the associated affine coherent states as well as briefly review the author's approach to nontrivial formulations of such nonrenormalizable models. |
1407.3960 | Carlo Maria Becchi | C. Becchi | Slavnov-Taylor and Ward Identities in the Electroweak Theory | null | null | 10.1007/s11232-015-0244-8 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of the Electroweak Theory we discuss a class of gauge fixing
choices suitable for the calculation of electromagnetic processes. We show in
particular that, with our choices, beyond the basic Slavnov-Taylor identities
guaranteeing the independence of the physical results of the particular gauge
fixing, one also has the standard QED Ward identities which play a well known
crucial role in the calculation of electromagnetic processes and, in
particular, in the analysis of the electromagnetic radiative corrections.
| [
{
"created": "Tue, 15 Jul 2014 12:32:49 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2014 13:02:32 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Aug 2014 09:41:58 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Becchi",
"C.",
""
]
] | In the framework of the Electroweak Theory we discuss a class of gauge fixing choices suitable for the calculation of electromagnetic processes. We show in particular that, with our choices, beyond the basic Slavnov-Taylor identities guaranteeing the independence of the physical results of the particular gauge fixing, one also has the standard QED Ward identities which play a well known crucial role in the calculation of electromagnetic processes and, in particular, in the analysis of the electromagnetic radiative corrections. |
hep-th/0701215 | Alexander Westphal | Susha L. Parameswaran, Alexander Westphal | Consistent de Sitter String Vacua from Kahler Stabilization and D-term
uplifting | 8 pages, 1 figure, LaTeX, Contribution to the proceedings of the RTN
project "Constituents, Fundamental Forces and Symmetries of the Universe"
conference in Napoli, October 9-13, 2006 | Fortsch.Phys.55:804-810,2007 | 10.1002/prop.200610374 | SISSA-08/2007/EP | hep-th | null | In this note, we review our construction of de Sitter vacua in type IIB flux
compactifications, in which moduli stabilization and D-term uplifting can be
combined consistently with the supergravity constraints. Here, the closed
string fluxes fix the dilaton and the complex structure moduli while
perturbative quantum corrections to the K\"ahler potential stabilize the volume
Kahler modulus in an AdS_4-vacuum. Then, magnetized D7-branes provide
consistent supersymmetric D-term uplifting towards dS_4. Based on
hep-th/0602253.
| [
{
"created": "Tue, 23 Jan 2007 14:40:36 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Parameswaran",
"Susha L.",
""
],
[
"Westphal",
"Alexander",
""
]
] | In this note, we review our construction of de Sitter vacua in type IIB flux compactifications, in which moduli stabilization and D-term uplifting can be combined consistently with the supergravity constraints. Here, the closed string fluxes fix the dilaton and the complex structure moduli while perturbative quantum corrections to the K\"ahler potential stabilize the volume Kahler modulus in an AdS_4-vacuum. Then, magnetized D7-branes provide consistent supersymmetric D-term uplifting towards dS_4. Based on hep-th/0602253. |
1708.06288 | Leopoldo A. Pando Zayas | James T. Liu, Leopoldo A. Pando Zayas and Shan Zhou | Comments on Higher Rank Wilson Loops in ${\cal N}=2^*$ | 28 pages, 4 figures. v2: References added. v3: More references, JHEP
version | null | 10.1007/JHEP01(2018)047 | MCTP-17-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For ${\cal N}=2^*$ theory with $U(N)$ gauge group we evaluate expectation
values of Wilson loops in representations described by a rectangular Young
tableau with $n$ rows and $k$ columns. The evaluation reduces to a two-matrix
model and we explain, using a combination of numerical and analytical
techniques, the general properties of the eigenvalue distributions in various
regimes of parameters $(N,\lambda,n,k)$ where $\lambda$ is the 't Hooft
coupling. In the large $N$ limit we present analytic results for the leading
and sub-leading contributions. In the particular cases of only one row or one
column we reproduce previously known results for the totally symmetry and
totally antisymmetric representations. We also extensively discusss the ${\cal
N}=4$ limit of the ${\cal N}=2^*$ theory. While establishing these connections
we clarify aspects of various orders of limits and how to relax them; we also
find it useful to explicitly address details of the genus expansion. As a
result, for the totally symmetric Wilson loop we find new contributions that
improve the comparison with the dual holographic computation at one loop order
in the appropriate regime.
| [
{
"created": "Mon, 21 Aug 2017 15:36:42 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Oct 2017 20:56:23 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Dec 2017 18:51:44 GMT",
"version": "v3"
}
] | 2018-02-14 | [
[
"Liu",
"James T.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Zhou",
"Shan",
""
]
] | For ${\cal N}=2^*$ theory with $U(N)$ gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with $n$ rows and $k$ columns. The evaluation reduces to a two-matrix model and we explain, using a combination of numerical and analytical techniques, the general properties of the eigenvalue distributions in various regimes of parameters $(N,\lambda,n,k)$ where $\lambda$ is the 't Hooft coupling. In the large $N$ limit we present analytic results for the leading and sub-leading contributions. In the particular cases of only one row or one column we reproduce previously known results for the totally symmetry and totally antisymmetric representations. We also extensively discusss the ${\cal N}=4$ limit of the ${\cal N}=2^*$ theory. While establishing these connections we clarify aspects of various orders of limits and how to relax them; we also find it useful to explicitly address details of the genus expansion. As a result, for the totally symmetric Wilson loop we find new contributions that improve the comparison with the dual holographic computation at one loop order in the appropriate regime. |
hep-th/0505231 | M. V. Libanov | M.V. Libanov and V.A. Rubakov | More about spontaneous Lorentz-violation and infrared modification of
gravity | 15 pages, 1 figure, JHEP3.cls; Added references | JHEP0508:001,2005 | 10.1088/1126-6708/2005/08/001 | null | hep-th astro-ph hep-ph | null | We consider a model with Lorentz-violating vector field condensates, in which
dispersion laws of all perturbations, including tensor modes, undergo
non-trivial modification in the infrared. The model is free of ghosts and
tachyons at high 3-momenta. At low 3-momenta there are ghosts, and at even
lower 3-momenta there exist tachyons. Still, with appropriate choice of
parameters, the model is phenomenologically acceptable. Beyond a certain large
distance scale and even larger time scale, the gravity of a static source
changes from that of General Relativity to that of van Dam--Veltman--Zakharov
limit of the Fierz--Pauli theory. Yet the late time cosmological evolution is
always determined by the standard Friedmann equation, modulo small correction
to the ``cosmological Planck mass'', so the modification of gravity cannot by
itself explain the accelerated expansion of the Universe. We argue that the
latter property is generic in a wide class of models with condensates.
| [
{
"created": "Wed, 25 May 2005 16:54:06 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jun 2005 17:24:27 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2005 17:22:02 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Libanov",
"M. V.",
""
],
[
"Rubakov",
"V. A.",
""
]
] | We consider a model with Lorentz-violating vector field condensates, in which dispersion laws of all perturbations, including tensor modes, undergo non-trivial modification in the infrared. The model is free of ghosts and tachyons at high 3-momenta. At low 3-momenta there are ghosts, and at even lower 3-momenta there exist tachyons. Still, with appropriate choice of parameters, the model is phenomenologically acceptable. Beyond a certain large distance scale and even larger time scale, the gravity of a static source changes from that of General Relativity to that of van Dam--Veltman--Zakharov limit of the Fierz--Pauli theory. Yet the late time cosmological evolution is always determined by the standard Friedmann equation, modulo small correction to the ``cosmological Planck mass'', so the modification of gravity cannot by itself explain the accelerated expansion of the Universe. We argue that the latter property is generic in a wide class of models with condensates. |
hep-th/9612120 | Harald Dorn | H. Dorn (Humboldt University Berlin) | Nonabelian gauge field dynamics on matrix D-branes | 14 pages, Latex, 2 figures, including epsfig.sty, a wrong reference
number corrected | Nucl.Phys. B494 (1997) 105-118 | 10.1016/S0550-3213(97)00171-5 | HUB-EP-96/62 | hep-th | null | We construct a calculational scheme for handling the matrix ordering problems
connected with the appearance of D-brane positions taking values in the same
Lie algebra as the nonabelian gauge field living on the D-brane. The formalism
is based on the use of an one-dimensional auxiliary field living on the
boundary of the string world sheet and taking care of the order of the matrix
valued fields. The resulting system of equations of motion for both the gauge
field and the D-brane position is derived in lowest order of the $\alpha'$
-expansion.
| [
{
"created": "Wed, 11 Dec 1996 15:11:32 GMT",
"version": "v1"
},
{
"created": "Wed, 14 May 1997 13:48:51 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dorn",
"H.",
"",
"Humboldt University Berlin"
]
] | We construct a calculational scheme for handling the matrix ordering problems connected with the appearance of D-brane positions taking values in the same Lie algebra as the nonabelian gauge field living on the D-brane. The formalism is based on the use of an one-dimensional auxiliary field living on the boundary of the string world sheet and taking care of the order of the matrix valued fields. The resulting system of equations of motion for both the gauge field and the D-brane position is derived in lowest order of the $\alpha'$ -expansion. |
1004.0880 | Sergei Kuzenko | Sergei M. Kuzenko | Lectures on nonlinear sigma-models in projective superspace | 56 pages. Lectures given at the 30th Winter School Geometry and
Physics, Srni, Czech Republic, 16--23 January, 2010. V2: typos corrected,
comments added; V3: almost published version (quotation from Osip Mandelstam
was removed by J. Phys. A from published article) | J.Phys.A43:443001,2010 | 10.1088/1751-8113/43/44/443001 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N = 2 supersymmetry in four space-time dimensions is intimately related to
hyperkahler and quaternionic Kahler geometries. On one hand, the target spaces
for rigid supersymmetric sigma-models are necessarily hyperkahler manifolds. On
the other hand, when coupled to N = 2 supergravity, the sigma-model target
spaces must be quaternionic Kahler. It is known that such manifolds of
restricted holonomy are difficult to generate explicitly. Projective superspace
is a field-theoretic approach to constructing general N = 2 supersymmetric
nonlinear sigma-models, and hence to generate new hyperkahler and quaternionic
Kahler metrics. Intended for a mixed audience consisting of both physicists and
mathematicians, these lectures provide a pedagogical introduction to the
projective-superspace approach.
| [
{
"created": "Tue, 6 Apr 2010 15:53:34 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 2010 07:07:17 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Apr 2012 09:40:23 GMT",
"version": "v3"
}
] | 2012-04-06 | [
[
"Kuzenko",
"Sergei M.",
""
]
] | N = 2 supersymmetry in four space-time dimensions is intimately related to hyperkahler and quaternionic Kahler geometries. On one hand, the target spaces for rigid supersymmetric sigma-models are necessarily hyperkahler manifolds. On the other hand, when coupled to N = 2 supergravity, the sigma-model target spaces must be quaternionic Kahler. It is known that such manifolds of restricted holonomy are difficult to generate explicitly. Projective superspace is a field-theoretic approach to constructing general N = 2 supersymmetric nonlinear sigma-models, and hence to generate new hyperkahler and quaternionic Kahler metrics. Intended for a mixed audience consisting of both physicists and mathematicians, these lectures provide a pedagogical introduction to the projective-superspace approach. |
2407.15921 | Oscar J. C. Dias | Oscar J.C. Dias and Jorge E. Santos | The Low Energy Limit of BFSS Quantum Mechanics | 13 pages, 6 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We investigate the low-energy regime of BFSS quantum mechanics using its
holographic dual. We identify three distinct thermodynamic phases (black holes)
and analyze their thermodynamic properties extensively, including phase
transitions amongst the several phases. While the properties of the canonical
ensemble aligns with existing conjectures on BFSS thermodynamics, we uncover
intriguing and unexpected behavior in the microcanonical ensemble.
Specifically, for sufficiently low energies, we observe the dominance of the
localized phase. Surprisingly, we also identify an energy range where the
non-uniform phase becomes dominant. The transition between these phases is
mediated by a Kol-type topology-changing phenomenon.
| [
{
"created": "Mon, 22 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] | 2024-07-24 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | We investigate the low-energy regime of BFSS quantum mechanics using its holographic dual. We identify three distinct thermodynamic phases (black holes) and analyze their thermodynamic properties extensively, including phase transitions amongst the several phases. While the properties of the canonical ensemble aligns with existing conjectures on BFSS thermodynamics, we uncover intriguing and unexpected behavior in the microcanonical ensemble. Specifically, for sufficiently low energies, we observe the dominance of the localized phase. Surprisingly, we also identify an energy range where the non-uniform phase becomes dominant. The transition between these phases is mediated by a Kol-type topology-changing phenomenon. |
hep-th/9712026 | Miguel S. Costa | Miguel S. Costa and Malcolm J. Perry (D.A.M.T.P./ University of
Cambridge) | Landau degeneracy and black hole entropy | 30 pages, 1 figure, latex. Minor corrections, version to appear in
Nuclear Physics B | Nucl.Phys. B520 (1998) 205-228 | 10.1016/S0550-3213(98)00051-0 | DAMTP-R/97/59 | hep-th | null | We consider the supergravity solution describing a configuration of
intersecting D-4-branes with non-vanishing worldvolume gauge fields. The
entropy of such a black hole is calculated in terms of the D-branes quantised
charges. The non-extreme solution is also considered and the corresponding
thermodynamical quantities are calculated in terms of a D-brane/anti-D-brane
system. To perform the quantum mechanical D-brane analysis we study
open-strings with their ends on branes with a magnetic condensate. Applying the
results to our D-brane system we managed to have a perfect agreement between
the D-brane entropy counting and the corresponding semi-classical result. The
Landau degeneracy of the open string states describing the excitations of the
D-brane system enters in a crucial way. We also derive the near-extreme results
which agree with the semi-classical calculations.
| [
{
"created": "Tue, 2 Dec 1997 18:19:02 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 1998 19:03:05 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Costa",
"Miguel S.",
"",
"D.A.M.T.P./ University of\n Cambridge"
],
[
"Perry",
"Malcolm J.",
"",
"D.A.M.T.P./ University of\n Cambridge"
]
] | We consider the supergravity solution describing a configuration of intersecting D-4-branes with non-vanishing worldvolume gauge fields. The entropy of such a black hole is calculated in terms of the D-branes quantised charges. The non-extreme solution is also considered and the corresponding thermodynamical quantities are calculated in terms of a D-brane/anti-D-brane system. To perform the quantum mechanical D-brane analysis we study open-strings with their ends on branes with a magnetic condensate. Applying the results to our D-brane system we managed to have a perfect agreement between the D-brane entropy counting and the corresponding semi-classical result. The Landau degeneracy of the open string states describing the excitations of the D-brane system enters in a crucial way. We also derive the near-extreme results which agree with the semi-classical calculations. |
2306.08867 | Emily Nardoni | Kazunobu Maruyoshi, Emily Nardoni, Jaewon Song | Dualities of Adjoint SQCD and Supersymmetry Enhancement | 29 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new dual description of four-dimensional $\mathcal{N}=1$ $SU(N)$
gauge theory with one adjoint ($X$) and $N_f$ fundamental matters with a
superpotential $W = \text{Tr}\, X^{p+1}$. The dual theory consists of the
$\mathcal{D}_p[SU(N)]$ Argyres-Douglas theory coupled to $SU(N)$ gauge theory
and $N_f$ fundamentals with a superpotential deformation. We study
renormalization group fixed points of the Argyres-Douglas dual theories with
and without superpotential deformations, and identify the conditions for them
to be dual to the fixed points of adjoint SQCD. We check our proposal via
matching central charges, chiral operators and superconformal indices. We find
that when $N_f = 2N$ and $p=2$, the dual theory flows to $\mathcal{N}=2$
$SU(N)$ superconformal QCD with $2N$ flavors upon suitable superpotential
deformation, exhibiting supersymmetry enhancement.
| [
{
"created": "Thu, 15 Jun 2023 05:45:50 GMT",
"version": "v1"
}
] | 2023-06-16 | [
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Nardoni",
"Emily",
""
],
[
"Song",
"Jaewon",
""
]
] | We propose a new dual description of four-dimensional $\mathcal{N}=1$ $SU(N)$ gauge theory with one adjoint ($X$) and $N_f$ fundamental matters with a superpotential $W = \text{Tr}\, X^{p+1}$. The dual theory consists of the $\mathcal{D}_p[SU(N)]$ Argyres-Douglas theory coupled to $SU(N)$ gauge theory and $N_f$ fundamentals with a superpotential deformation. We study renormalization group fixed points of the Argyres-Douglas dual theories with and without superpotential deformations, and identify the conditions for them to be dual to the fixed points of adjoint SQCD. We check our proposal via matching central charges, chiral operators and superconformal indices. We find that when $N_f = 2N$ and $p=2$, the dual theory flows to $\mathcal{N}=2$ $SU(N)$ superconformal QCD with $2N$ flavors upon suitable superpotential deformation, exhibiting supersymmetry enhancement. |
2208.07884 | Robert Moscrop | Shani Meynet, Robert Moscrop | McKay quivers and decomposition | 26 pages, 6 figures; v2, references added | Lett. Math. Phys. 113, 63 (2023) | 10.1007/s11005-023-01685-9 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When a quantum field theory in $d$-spacetime dimensions possesses a global
$(d-1)$-form symmetry, it can decompose into disjoint unions of other theories.
This is reflected in the physical quantities of the theory and can be used to
study properties of the constituent theories. In this note we highlight the
equivalence between the decomposition of orbifold $\sigma$-models and
disconnected McKay quivers. Specifically, we show in numerous examples that
each component of a McKay quiver can be given definitive geometric meaning
through the decomposition formulae. In addition, we give a purely group and
representation theoretic derivation of the quivers for the cases where the
trivially acting part of the orbifold group is central. As expected, the
resulting quivers are compatible with the case of $\sigma$-models on `banded'
gerbes.
| [
{
"created": "Tue, 16 Aug 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2022 13:51:04 GMT",
"version": "v2"
}
] | 2023-06-06 | [
[
"Meynet",
"Shani",
""
],
[
"Moscrop",
"Robert",
""
]
] | When a quantum field theory in $d$-spacetime dimensions possesses a global $(d-1)$-form symmetry, it can decompose into disjoint unions of other theories. This is reflected in the physical quantities of the theory and can be used to study properties of the constituent theories. In this note we highlight the equivalence between the decomposition of orbifold $\sigma$-models and disconnected McKay quivers. Specifically, we show in numerous examples that each component of a McKay quiver can be given definitive geometric meaning through the decomposition formulae. In addition, we give a purely group and representation theoretic derivation of the quivers for the cases where the trivially acting part of the orbifold group is central. As expected, the resulting quivers are compatible with the case of $\sigma$-models on `banded' gerbes. |
2212.10645 | Johannes Aspman | Johannes Aspman and Jan Manschot | Decay channels for double extremal black holes in four dimensions | 3 figures | SciPost Phys. 16, 021 (2024) | 10.21468/SciPostPhys.16.1.021 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We explore decay channels for charged black holes with vanishing temperature
in $\mathcal{N}=2$ supersymmetric compactifications of string theory. If not
protected by supersymmetry, such extremal black holes are expected to decay as
a consequence of the weak gravity conjecture. We concentrate on double
extremal, non-supersymmetric black holes for which the values of the scalar
fields are constant throughout space-time, and explore decay channels for which
decay into BPS and anti-BPS constituents is energetically favorable. We
demonstrate the existence of decay channels at tree level for large families of
double extremal black holes. For specific charges, we also find stable
non-supersymmetric black holes, suggesting recombination of
(anti)-supersymmetric constituents to a non-supersymmetric object.
| [
{
"created": "Tue, 20 Dec 2022 20:48:00 GMT",
"version": "v1"
}
] | 2024-01-24 | [
[
"Aspman",
"Johannes",
""
],
[
"Manschot",
"Jan",
""
]
] | We explore decay channels for charged black holes with vanishing temperature in $\mathcal{N}=2$ supersymmetric compactifications of string theory. If not protected by supersymmetry, such extremal black holes are expected to decay as a consequence of the weak gravity conjecture. We concentrate on double extremal, non-supersymmetric black holes for which the values of the scalar fields are constant throughout space-time, and explore decay channels for which decay into BPS and anti-BPS constituents is energetically favorable. We demonstrate the existence of decay channels at tree level for large families of double extremal black holes. For specific charges, we also find stable non-supersymmetric black holes, suggesting recombination of (anti)-supersymmetric constituents to a non-supersymmetric object. |
hep-th/0507231 | Mohamed Chabab | Mohamed Chabab, Latifa Sanhaji | Confining interquark potentials from nonabelian gauge theories coupled
to dilaton | 7 pages, based on hep-th/0311096. Presented at 10th International
Symposium on Meson-Nucleon Physics and the Structure of the Nucleon (MENU
2004), Beijing, China, 29 Aug - 4 Sep 2004 | Int.J.Mod.Phys. A20 (2005) 1863-1866 | 10.1142/S0217751X05023505 | null | hep-th | null | Following a recently proposed confinement generating mechanism, we provide a
new string inspired model with a massive dilaton and a new dilaton coupling
function [5]. By solving analytically the equations of motion, a new class of
confining interquark potentials is derived which includes several popular
potential forms given in the literature.
| [
{
"created": "Sat, 23 Jul 2005 15:12:45 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Chabab",
"Mohamed",
""
],
[
"Sanhaji",
"Latifa",
""
]
] | Following a recently proposed confinement generating mechanism, we provide a new string inspired model with a massive dilaton and a new dilaton coupling function [5]. By solving analytically the equations of motion, a new class of confining interquark potentials is derived which includes several popular potential forms given in the literature. |
hep-th/0607250 | Dmitry Talalaev | A. Chervov, D. Talalaev | KZ equation, G-opers, quantum Drinfeld-Sokolov reduction and quantum
Cayley-Hamilton identity | 12 pp, the hypothesis proved, the Cayley-Hamilton identity added | null | null | ITEP-TH-10/06 | hep-th math-ph math.MP math.QA | null | The Lax operator of the Gaudin type models is a 1-form on the classical
level. In virtue of the quantization scheme proposed in [Talalaev04]
(hep-th/0404153) it is natural to treat the quantum Lax operator as a
connection; this connection is a particular case of the Knizhnik-Zamolodchikov
connection [ChervovTalalaev06] (hep-th/0604128). In this paper we find a gauge
transformation which produces the "second normal form" or the
"Drinfeld-Sokolov" form. Moreover the differential operator naturally
corresponding to this form is given precisely by the quantum characteristic
polynomial [Talalaev04] of the Lax operator (this operator is called the G-oper
or Baxter equation). This observation allows to relate solutions of the KZ and
Baxter equations in an obvious way, and to prove that the immanent KZ-equations
has only meromorphic solutions. As a corollary we obtain the quantum
Cayley-Hamilton identity for the Gaudin-type Lax operators (including the
general gl(n)[t] case). The presented construction sheds a new light on a
geometric Langlands correspondence. We also discuss the relation with the
Harish-Chandra homomorphism.
| [
{
"created": "Mon, 31 Jul 2006 10:42:33 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2006 20:44:09 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chervov",
"A.",
""
],
[
"Talalaev",
"D.",
""
]
] | The Lax operator of the Gaudin type models is a 1-form on the classical level. In virtue of the quantization scheme proposed in [Talalaev04] (hep-th/0404153) it is natural to treat the quantum Lax operator as a connection; this connection is a particular case of the Knizhnik-Zamolodchikov connection [ChervovTalalaev06] (hep-th/0604128). In this paper we find a gauge transformation which produces the "second normal form" or the "Drinfeld-Sokolov" form. Moreover the differential operator naturally corresponding to this form is given precisely by the quantum characteristic polynomial [Talalaev04] of the Lax operator (this operator is called the G-oper or Baxter equation). This observation allows to relate solutions of the KZ and Baxter equations in an obvious way, and to prove that the immanent KZ-equations has only meromorphic solutions. As a corollary we obtain the quantum Cayley-Hamilton identity for the Gaudin-type Lax operators (including the general gl(n)[t] case). The presented construction sheds a new light on a geometric Langlands correspondence. We also discuss the relation with the Harish-Chandra homomorphism. |
0812.3531 | Eugen Radu | Ruben Manvelyan, Eugen Radu and D. H. Tchrakian | New AdS non Abelian black holes with superconducting horizons | 11 pages, 4 figures | Phys.Lett.B677:79-87,2009 | 10.1016/j.physletb.2009.05.018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present arguments for the existence of higher dimensional asymptotically
AdS non Abelian black holes with a Ricci flat event horizon and analyze their
basic properties. Unlike higher dimensional black holes with a curved horizon,
of the usual Einstein-Yang-Mills system, these solutions have finite
mass-energy. Below some non-zero critical temperature, they are
thermodynamically preferred over the Abelian configurations.
| [
{
"created": "Thu, 18 Dec 2008 13:23:02 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Manvelyan",
"Ruben",
""
],
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | We present arguments for the existence of higher dimensional asymptotically AdS non Abelian black holes with a Ricci flat event horizon and analyze their basic properties. Unlike higher dimensional black holes with a curved horizon, of the usual Einstein-Yang-Mills system, these solutions have finite mass-energy. Below some non-zero critical temperature, they are thermodynamically preferred over the Abelian configurations. |
1611.04868 | Maxim Zabzine | Guido Festuccia, Jian Qiu, Jacob Winding and Maxim Zabzine | N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$ | 49 pages, refs added, the final version to appear in JHEP | null | 10.1007/JHEP03(2017)026 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct 4D $\mathcal{N}=2$ theories on an infinite family of 4D toric
manifolds with the topology of connected sums of $S^2 \times S^2$. These
theories are constructed through the dimensional reduction along a non-trivial
$U(1)$-fiber of 5D theories on toric Sasaki-Einstein manifolds. We discuss the
conditions under which such reductions can be carried out and give a partial
classification result of the resulting 4D manifolds. We calculate the partition
functions of these 4D theories and they involve both instanton and
anti-instanton contributions, thus generalizing Pestun's famous result on
$S^4$.
| [
{
"created": "Tue, 15 Nov 2016 14:49:15 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2016 15:47:29 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Mar 2017 12:07:20 GMT",
"version": "v3"
}
] | 2017-04-05 | [
[
"Festuccia",
"Guido",
""
],
[
"Qiu",
"Jian",
""
],
[
"Winding",
"Jacob",
""
],
[
"Zabzine",
"Maxim",
""
]
] | We construct 4D $\mathcal{N}=2$ theories on an infinite family of 4D toric manifolds with the topology of connected sums of $S^2 \times S^2$. These theories are constructed through the dimensional reduction along a non-trivial $U(1)$-fiber of 5D theories on toric Sasaki-Einstein manifolds. We discuss the conditions under which such reductions can be carried out and give a partial classification result of the resulting 4D manifolds. We calculate the partition functions of these 4D theories and they involve both instanton and anti-instanton contributions, thus generalizing Pestun's famous result on $S^4$. |
hep-th/0111076 | Tomy Scaria | Rabin Banerjee, Biswajit Chakraborty, Tomy Scaria | On the Associativity of Star Product in Systems with Nonlinear
Constraints | latex, 21 pages, no figures, Revised version with modified abstract
and text, New references added. Typos corrected | null | null | null | hep-th | null | The noncommutative star product of phase space functions is, by construction,
associative for both non-degenerate and degenerate case (involving only second
class constraints) as has been shown by Berezin, Batalin and Tyutin. However,
for the latter case, the manifest associativity is lost if an arbitrary
coordinate system is used but can be restored by using an unconstrained
canonical set.
The existence of such a canonical transformation is guaranteed by a theorem
due to Maskawa and Nakajima. In terms of these new variables, the Kontsevich
series for the star product reduces to an exponential series which is
manifestly associative. We also show, using the star product formalism, that
the angular momentum of a particle moving on a circle is quantized.
| [
{
"created": "Thu, 8 Nov 2001 17:09:03 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2002 04:18:13 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Banerjee",
"Rabin",
""
],
[
"Chakraborty",
"Biswajit",
""
],
[
"Scaria",
"Tomy",
""
]
] | The noncommutative star product of phase space functions is, by construction, associative for both non-degenerate and degenerate case (involving only second class constraints) as has been shown by Berezin, Batalin and Tyutin. However, for the latter case, the manifest associativity is lost if an arbitrary coordinate system is used but can be restored by using an unconstrained canonical set. The existence of such a canonical transformation is guaranteed by a theorem due to Maskawa and Nakajima. In terms of these new variables, the Kontsevich series for the star product reduces to an exponential series which is manifestly associative. We also show, using the star product formalism, that the angular momentum of a particle moving on a circle is quantized. |
1602.00679 | Steven Gubser | Steven S. Gubser, Sarthak Parikh, and Przemek Witaszczyk | Segmented strings and the McMillan map | 18 pages | null | 10.1007/JHEP07(2016)122 | PUPT-2498 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new exact solutions describing motions of closed segmented strings
in $AdS_3$ in terms of elliptic functions. The existence of analytic
expressions is due to the integrability of the classical equations of motion,
which in our examples reduce to instances of the McMillan map. We also obtain a
discrete evolution rule for the motion in $AdS_3$ of arbitrary bound states of
fundamental strings and D1-branes in the test approximation.
| [
{
"created": "Mon, 1 Feb 2016 20:57:38 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Gubser",
"Steven S.",
""
],
[
"Parikh",
"Sarthak",
""
],
[
"Witaszczyk",
"Przemek",
""
]
] | We present new exact solutions describing motions of closed segmented strings in $AdS_3$ in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in $AdS_3$ of arbitrary bound states of fundamental strings and D1-branes in the test approximation. |
hep-th/9709122 | Esko Keski-Vakkuri | Esko Keski-Vakkuri and Per Kraus (Caltech) | Born-Infeld Actions from Matrix Theory | 27 pages, LaTeX file | Nucl.Phys. B518 (1998) 212-236 | 10.1016/S0550-3213(98)00145-X | CALT-68-2136 | hep-th | null | We propose a formula for the effective action of Matrix Theory which
succesfully reproduces a large class of Born-Infeld type D-brane probe actions.
The formula is motivated by demanding consistency with known results, and is
tested by comparing with a wide range of source-probe calculations in
supergravity. In the case of D0-brane sources and Dp-brane probes, we study the
effect of boosts, rotations, and worldvolume electric fields on the probe, and
find agreement with supergravity to all orders in the gravitational coupling.
We also consider D4-brane sources at the one loop level and recover the correct
probe actions for a D0-brane, and for a D4-brane rotated at an angle with
respect to the source.
| [
{
"created": "Tue, 16 Sep 1997 22:19:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Keski-Vakkuri",
"Esko",
"",
"Caltech"
],
[
"Kraus",
"Per",
"",
"Caltech"
]
] | We propose a formula for the effective action of Matrix Theory which succesfully reproduces a large class of Born-Infeld type D-brane probe actions. The formula is motivated by demanding consistency with known results, and is tested by comparing with a wide range of source-probe calculations in supergravity. In the case of D0-brane sources and Dp-brane probes, we study the effect of boosts, rotations, and worldvolume electric fields on the probe, and find agreement with supergravity to all orders in the gravitational coupling. We also consider D4-brane sources at the one loop level and recover the correct probe actions for a D0-brane, and for a D4-brane rotated at an angle with respect to the source. |
2112.04695 | El Hassan Saidi | E.H Saidi and L.B Drissi | 5D N=1 super QFT: symplectic quivers | 49 pages, 14 figures | null | 10.1016/j.nuclphysb.2021.115632 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a method to build new 5D $\mathcal{N}=1$ gauge models based on
Sasaki-Einstein manifolds $Y^{p,q}.$ These models extend the standard 5D ones
having a unitary SU$\left( p\right) _{q}$ gauge symmetry based on $% Y^{p,q}$.
Particular focus is put on the building of a gauge family with symplectic
SP$\left( 2r,\mathbb{R}\right) $ symmetry. These super QFTs are embedded in
M-theory compactified on folded toric Calabi-Yau threefolds $%
\hat{X}(Y^{2r,0})$ constructed from conical $Y^{2r,0}$. By using
outer-automorphism symmetries of 5D $\mathcal{N}=1$\textbf{\ }BPS quivers with
unitary SU$\left( 2r\right) $ gauge invariance, we also construct BPS quivers
with symplectic SP$\left( 2r,\mathbb{R}\right) $ gauge symmetry. Other related
aspects are discussed. Keywords: SCFT$_{5}$, 5D $\mathcal{N}=1$ super QFT on a
finite circle, Sasaki-Einstein manifolds, BPS quivers, outer-automorphisms.
| [
{
"created": "Thu, 9 Dec 2021 04:27:09 GMT",
"version": "v1"
}
] | 2021-12-10 | [
[
"Saidi",
"E. H",
""
],
[
"Drissi",
"L. B",
""
]
] | We develop a method to build new 5D $\mathcal{N}=1$ gauge models based on Sasaki-Einstein manifolds $Y^{p,q}.$ These models extend the standard 5D ones having a unitary SU$\left( p\right) _{q}$ gauge symmetry based on $% Y^{p,q}$. Particular focus is put on the building of a gauge family with symplectic SP$\left( 2r,\mathbb{R}\right) $ symmetry. These super QFTs are embedded in M-theory compactified on folded toric Calabi-Yau threefolds $% \hat{X}(Y^{2r,0})$ constructed from conical $Y^{2r,0}$. By using outer-automorphism symmetries of 5D $\mathcal{N}=1$\textbf{\ }BPS quivers with unitary SU$\left( 2r\right) $ gauge invariance, we also construct BPS quivers with symplectic SP$\left( 2r,\mathbb{R}\right) $ gauge symmetry. Other related aspects are discussed. Keywords: SCFT$_{5}$, 5D $\mathcal{N}=1$ super QFT on a finite circle, Sasaki-Einstein manifolds, BPS quivers, outer-automorphisms. |
1509.04254 | Alexey Koshelev | I. Dimitrijevic, B. Dragovich, A.S. Koshelev, Z. Rakic, J. Stankovic | Cosmology of non-local f(R) gravity | 16 pages; new version matches the published one and contains
substantial improvements in the discussion of the physics of the new model | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a modification of GR with a special type of a non-local f(R). The
structure of the non-local operators is motivated by the string field theory
and p-adic string theory. The spectrum is derived explicitly and the ghost-free
condition for the model is formulated. We pay special attention to the
classical stability of the de Sitter solution in our model and formulate the
conditions on the model parameters to have a stable configuration. Relevance of
unstable configurations for the description of the de Sitter phase during
inflation is specifically discussed.
| [
{
"created": "Mon, 14 Sep 2015 19:41:43 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2019 07:14:54 GMT",
"version": "v2"
}
] | 2019-08-05 | [
[
"Dimitrijevic",
"I.",
""
],
[
"Dragovich",
"B.",
""
],
[
"Koshelev",
"A. S.",
""
],
[
"Rakic",
"Z.",
""
],
[
"Stankovic",
"J.",
""
]
] | We consider a modification of GR with a special type of a non-local f(R). The structure of the non-local operators is motivated by the string field theory and p-adic string theory. The spectrum is derived explicitly and the ghost-free condition for the model is formulated. We pay special attention to the classical stability of the de Sitter solution in our model and formulate the conditions on the model parameters to have a stable configuration. Relevance of unstable configurations for the description of the de Sitter phase during inflation is specifically discussed. |
2103.02799 | Hirotaka Hayashi | Hirotaka Hayashi, Hee-Cheol Kim, Kantaro Ohmori | 6d/5d exceptional gauge theories from web diagrams | 110 pages, many figures | null | 10.1007/JHEP07(2021)128 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct novel web diagrams with a trivalent or quadrivalent gluing for
various 6d/5d theories from certain Higgsings of 6d conformal matter theories
on a circle. The theories realized on the web diagrams include 5d Kaluza-Klein
theories from circle compactifications of the 6d $G_2$ gauge theory with 4
flavors, the 6d $F_4$ gauge theory with 3 flavors, the 6d $E_6$ gauge theory
with 4 flavors and the 6d $E_7$ gauge theory with 3 flavors. The Higgsings also
give rise to 5d Kaluza-Klein theories from twisted compactifications of 6d
theories including the 5d pure SU(3) gauge theory with the Chern-Simons level 9
and the 5d pure SU(4) gauge theory with the Chern-Simons level 8. We also
compute the Nekrasov partition functions of the theories by applying the
topological vertex formalism to the newly obtained web diagrams.
| [
{
"created": "Thu, 4 Mar 2021 02:48:31 GMT",
"version": "v1"
}
] | 2021-08-04 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Ohmori",
"Kantaro",
""
]
] | We construct novel web diagrams with a trivalent or quadrivalent gluing for various 6d/5d theories from certain Higgsings of 6d conformal matter theories on a circle. The theories realized on the web diagrams include 5d Kaluza-Klein theories from circle compactifications of the 6d $G_2$ gauge theory with 4 flavors, the 6d $F_4$ gauge theory with 3 flavors, the 6d $E_6$ gauge theory with 4 flavors and the 6d $E_7$ gauge theory with 3 flavors. The Higgsings also give rise to 5d Kaluza-Klein theories from twisted compactifications of 6d theories including the 5d pure SU(3) gauge theory with the Chern-Simons level 9 and the 5d pure SU(4) gauge theory with the Chern-Simons level 8. We also compute the Nekrasov partition functions of the theories by applying the topological vertex formalism to the newly obtained web diagrams. |
2012.10859 | Md Riajul Haque | Md Riajul Haque, Debaprasad Maity, Sourav Pal | Probing the reheating phase through primordial magnetic field and CMB | 37pages, 4 figures | Phys. Rev. D 103, 103540 (2021) | 10.1103/PhysRevD.103.103540 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inflationary magnetogenesis has long been assumed to be the most promising
mechanism for producing large-scale magnetic fields in our universe. However,
generically, such models are plagued with either backreaction or strong
coupling problems within the standard framework. This paper has shown that the
reheating phase can play a crucial role in alleviating those problems along
with CMB. Assuming the electrical conductivity to be negligible during the
entire period of reheating, the classic Faraday electromagnetic induction
changes the magnetic field's dynamics drastically. Our detailed analysis
reveals that this physical phenomenon not only converts a large class of
magnetogenesis model observationally viable without any theoretical problem but
also can uniquely fix the perturbative average inflaton equation of state,
$\omega_{\phi} = (p+2)/(p+2)$ during reheating given a specific value of the
large scale magnetic field. This observation hints the inflaton to assume the
potential of form $V(\phi) \sim \phi^p$ near its minimum with $p \gtrsim 3.5$
if one considers the limit of the present-day strength of the large scale
magnetic field to be $\mathcal{P}_{B0}^{\frac{1}{2}} \gtrsim 10^{-18}$ G. Our
analysis opens up a new avenue towards constraining the inflationary and
magnetogenesis model together via reheating.
| [
{
"created": "Sun, 20 Dec 2020 07:24:34 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 2021 11:08:26 GMT",
"version": "v2"
}
] | 2021-06-02 | [
[
"Haque",
"Md Riajul",
""
],
[
"Maity",
"Debaprasad",
""
],
[
"Pal",
"Sourav",
""
]
] | Inflationary magnetogenesis has long been assumed to be the most promising mechanism for producing large-scale magnetic fields in our universe. However, generically, such models are plagued with either backreaction or strong coupling problems within the standard framework. This paper has shown that the reheating phase can play a crucial role in alleviating those problems along with CMB. Assuming the electrical conductivity to be negligible during the entire period of reheating, the classic Faraday electromagnetic induction changes the magnetic field's dynamics drastically. Our detailed analysis reveals that this physical phenomenon not only converts a large class of magnetogenesis model observationally viable without any theoretical problem but also can uniquely fix the perturbative average inflaton equation of state, $\omega_{\phi} = (p+2)/(p+2)$ during reheating given a specific value of the large scale magnetic field. This observation hints the inflaton to assume the potential of form $V(\phi) \sim \phi^p$ near its minimum with $p \gtrsim 3.5$ if one considers the limit of the present-day strength of the large scale magnetic field to be $\mathcal{P}_{B0}^{\frac{1}{2}} \gtrsim 10^{-18}$ G. Our analysis opens up a new avenue towards constraining the inflationary and magnetogenesis model together via reheating. |
hep-th/9307052 | Adel Bilal | Adel Bilal | Aspects of Exactly Solvable Quantum-Corrected 2D Dilaton Gravity
Theories | 30 pages. Based on Talks given at Strings 93, Berkeley, May 1993, and
at the Santa Barbara conference "Quantum Aspects of Black Holes". PUPT-1411 | Int.J.Mod.Phys.A9:475-498,1994 | 10.1142/S0217751X94000224 | null | hep-th gr-qc | null | After reviewing the basic aspects of the exactly solvable quantum-corrected
dilaton-gravity theories in two dimensions, we discuss a (subjective) selection
of other aspects: a) supersymmetric extensions, b) canonical formalism,
ADM-mass, and the functional integral measure, and c) a positive energy theorem
and its application to the ADM- and Bondi-masses.
| [
{
"created": "Wed, 7 Jul 1993 21:08:44 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Bilal",
"Adel",
""
]
] | After reviewing the basic aspects of the exactly solvable quantum-corrected dilaton-gravity theories in two dimensions, we discuss a (subjective) selection of other aspects: a) supersymmetric extensions, b) canonical formalism, ADM-mass, and the functional integral measure, and c) a positive energy theorem and its application to the ADM- and Bondi-masses. |
1609.08402 | Behnam Pourhassan | B. Pourhassan, and M.M. Bagheri-Mohagheghi | Holographic superconductor in a deformed four-dimensional STU model | 19 pages, 8 Figures. Accepted for publication in EPJC | Eur. Phys. J. C 77 (2017) 759 | 10.1140/epjc/s10052-017-5338-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider deformed STU model in four dimensions including
both electric and magnetic charges. Using AdS/CFT correspondence, we study
holographic superconductor and obtain transport properties like electrical and
thermal conductivities. We obtain transport properties in terms of the black
hole magnetic charge and interpret it as magnetic monopole of dual field
theory. We find that presence of magnetic charge is necessary to have maximum
conductivities, and existence of magnetic monopole with a critical charge (137
e) to reach the maximum superconductivity is important. Also, we show that
thermal conductivity increases with increasing of magnetic charge. It may be
concluded that the origin of superconductivity is magnetic monopole.
| [
{
"created": "Mon, 19 Sep 2016 09:53:28 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2016 17:21:20 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Nov 2017 08:58:28 GMT",
"version": "v3"
}
] | 2017-11-17 | [
[
"Pourhassan",
"B.",
""
],
[
"Bagheri-Mohagheghi",
"M. M.",
""
]
] | In this paper, we consider deformed STU model in four dimensions including both electric and magnetic charges. Using AdS/CFT correspondence, we study holographic superconductor and obtain transport properties like electrical and thermal conductivities. We obtain transport properties in terms of the black hole magnetic charge and interpret it as magnetic monopole of dual field theory. We find that presence of magnetic charge is necessary to have maximum conductivities, and existence of magnetic monopole with a critical charge (137 e) to reach the maximum superconductivity is important. Also, we show that thermal conductivity increases with increasing of magnetic charge. It may be concluded that the origin of superconductivity is magnetic monopole. |
2105.08726 | Lorenz Eberhardt | Lorenz Eberhardt and Sridip Pal | The Disk Partition Function in String Theory | 32 pages | null | 10.1007/JHEP08(2021)026 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We investigate the disk partition function for the open string. This is a
subtle problem because of the presence of a residual gauge group
$\mathrm{PSL}(2,\mathbb{R})$ on the worldsheet even after fixing the conformal
gauge. It naively has infinite volume and leads to a vanishing answer. We use
different methods that all demonstrate that $\mathrm{PSL}(2,\mathbb{R})$
effectively behaves like a group with finite negative volume in the path
integral, which leads to a simple prescription for the computation of the disk
partition function. We apply our findings to give a simple rederivation of the
D-brane tensions.
| [
{
"created": "Tue, 18 May 2021 18:00:01 GMT",
"version": "v1"
}
] | 2021-09-01 | [
[
"Eberhardt",
"Lorenz",
""
],
[
"Pal",
"Sridip",
""
]
] | We investigate the disk partition function for the open string. This is a subtle problem because of the presence of a residual gauge group $\mathrm{PSL}(2,\mathbb{R})$ on the worldsheet even after fixing the conformal gauge. It naively has infinite volume and leads to a vanishing answer. We use different methods that all demonstrate that $\mathrm{PSL}(2,\mathbb{R})$ effectively behaves like a group with finite negative volume in the path integral, which leads to a simple prescription for the computation of the disk partition function. We apply our findings to give a simple rederivation of the D-brane tensions. |
hep-th/0506228 | Boris Pioline | Boris Pioline (LPTHE and LPTENS) | BPS Black Hole Degeneracies and Minimal Automorphic Representations | 36 pages, uses JHEP3.cls; v5: the "extra charge", which was,
mistakenly identified as angular momentum, is now correctly identified as NUT
charge (see historical note on p29), a few other cosmetic changes too | JHEP 0508 (2005) 071 | 10.1088/1126-6708/2005/08/071 | LPTHE-05-15, LPTENS-05-20 | hep-th | null | We discuss the degeneracies of 4D and 5D BPS black holes in toroidal
compactifications of M-theory or type II string theory, using U-duality as a
tool. We generalize the 4D/5D lift to include all charges in N=8 supergravity,
and compute the exact indexed degeneracies of certain 4D 1/8-BPS black holes.
Using the attractor formalism, we obtain the leading micro-canonical entropy
for arbitrary Legendre invariant prepotentials and non-vanishing D6-brane
charge. In particular, we find that the N=8 prepotential is given to leading
order by the cubic invariant of $E_6$. This suggests that the minimal unitary
representation of $E_8$, based on the same cubic prepotential, underlies the
microscopic degeneracies of N=8 black holes. We propose that the exact
degeneracies are given by the Wigner function of the $E_8(Z)$ invariant vector
in this automorphic representation. A similar conjecture relates the
degeneracies of N=4 black holes to the minimal unipotent representation of
$SO(8,24,Z)$.
| [
{
"created": "Mon, 27 Jun 2005 17:15:33 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jun 2005 16:49:12 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jul 2005 10:40:06 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Aug 2005 10:04:46 GMT",
"version": "v4"
},
{
"c... | 2009-11-11 | [
[
"Pioline",
"Boris",
"",
"LPTHE and LPTENS"
]
] | We discuss the degeneracies of 4D and 5D BPS black holes in toroidal compactifications of M-theory or type II string theory, using U-duality as a tool. We generalize the 4D/5D lift to include all charges in N=8 supergravity, and compute the exact indexed degeneracies of certain 4D 1/8-BPS black holes. Using the attractor formalism, we obtain the leading micro-canonical entropy for arbitrary Legendre invariant prepotentials and non-vanishing D6-brane charge. In particular, we find that the N=8 prepotential is given to leading order by the cubic invariant of $E_6$. This suggests that the minimal unitary representation of $E_8$, based on the same cubic prepotential, underlies the microscopic degeneracies of N=8 black holes. We propose that the exact degeneracies are given by the Wigner function of the $E_8(Z)$ invariant vector in this automorphic representation. A similar conjecture relates the degeneracies of N=4 black holes to the minimal unipotent representation of $SO(8,24,Z)$. |
1212.4487 | Prasant Samantray | Maulik Parikh and Prasant Samantray | All the Stationary Vacuum States of De Sitter Space | 12 pages | null | 10.1103/PhysRevD.87.125037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain all the stationary vacua of de Sitter space by classifying the
inequivalent timelike isometries of the de Sitter group. Besides the static
vacuum, de Sitter space also admits a family of rotating vacua, which we use to
obtain Kerr-de Sitter solutions in various dimensions. By writing the metric in
a coordinate system adapted to the rotating Hamiltonian, we show that empty de
Sitter space admits not only an observer-dependent horizon but also an
observer-dependent ergosphere.
| [
{
"created": "Tue, 18 Dec 2012 20:58:30 GMT",
"version": "v1"
}
] | 2013-08-09 | [
[
"Parikh",
"Maulik",
""
],
[
"Samantray",
"Prasant",
""
]
] | We obtain all the stationary vacua of de Sitter space by classifying the inequivalent timelike isometries of the de Sitter group. Besides the static vacuum, de Sitter space also admits a family of rotating vacua, which we use to obtain Kerr-de Sitter solutions in various dimensions. By writing the metric in a coordinate system adapted to the rotating Hamiltonian, we show that empty de Sitter space admits not only an observer-dependent horizon but also an observer-dependent ergosphere. |
1703.04402 | Jan Ambjorn | J. Ambjorn and Y. Watabiki | Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry | null | null | 10.1016/j.physletb.2017.04.051 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a model where breaking of W3 symmetry will lead to the emergence
of time and subsequently of space. Surprisingly the simplest such models which
lead to higher dimensional spacetimes are based on the four "magical" Jordan
algebras of 3x3 Hermitian matrices with real, complex, quaternion and octonion
entries, respectively. The simplest symmetry breaking leads to universes with
spacetime dimensions 3, 4, 6, and 10.
| [
{
"created": "Mon, 13 Mar 2017 14:03:22 GMT",
"version": "v1"
}
] | 2017-05-03 | [
[
"Ambjorn",
"J.",
""
],
[
"Watabiki",
"Y.",
""
]
] | We describe a model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four "magical" Jordan algebras of 3x3 Hermitian matrices with real, complex, quaternion and octonion entries, respectively. The simplest symmetry breaking leads to universes with spacetime dimensions 3, 4, 6, and 10. |
hep-th/0310129 | Wolfgang Mueck | Massimo Bianchi, Wolfgang M\"uck and Maurizio Prisco | New Results on Holographic Three-Point Functions | v2: reference added, typos corrected v3: sign convention for
background changed, agrees with version published in JHEP | JHEP0311:052,2003 | 10.1088/1126-6708/2003/11/052 | ROM2F/03/27, NA-DSF-35-2003 | hep-th | null | We exploit a gauge invariant approach for the analysis of the equations
governing the dynamics of active scalar fluctuations coupled to the
fluctuations of the metric along holographic RG flows. In the present approach,
a second order ODE for the active scalar emerges rather simply and makes it
possible to use the Green's function method to deal with (quadratic)
interaction terms. We thus fill a gap for active scalar operators, whose
three-point functions have been inaccessible so far, and derive a general,
explicitly Bose symmetric formula thereof. As an application we compute the
relevant three-point function along the GPPZ flow and extract the irreducible
trilinear couplings of the corresponding superglueballs by amputating the
external legs on-shell.
| [
{
"created": "Tue, 14 Oct 2003 11:50:14 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Oct 2003 12:10:24 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Dec 2003 12:05:31 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Bianchi",
"Massimo",
""
],
[
"Mück",
"Wolfgang",
""
],
[
"Prisco",
"Maurizio",
""
]
] | We exploit a gauge invariant approach for the analysis of the equations governing the dynamics of active scalar fluctuations coupled to the fluctuations of the metric along holographic RG flows. In the present approach, a second order ODE for the active scalar emerges rather simply and makes it possible to use the Green's function method to deal with (quadratic) interaction terms. We thus fill a gap for active scalar operators, whose three-point functions have been inaccessible so far, and derive a general, explicitly Bose symmetric formula thereof. As an application we compute the relevant three-point function along the GPPZ flow and extract the irreducible trilinear couplings of the corresponding superglueballs by amputating the external legs on-shell. |
2010.09684 | Zimo Sun | Zimo Sun | Higher spin de Sitter quasinormal modes | 38 pages, 1 figure | null | 10.1007/JHEP11(2021)025 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct higher spin quasinormal modes algebraically in $D$-dimensional
de Sitter spacetime using the ambient space formalism. The quasinormal modes
fall into two nonunitary lowest-weight representations of $\mathfrak{so}(1,
D)$. From a local QFT point of view, the lowest-weight quasinormal modes of
massless higher spin fields are produced by gauge-invariant boundary conserved
currents and boundary higher-spin Weyl tensors inserted at the southern pole of
the past boundary. We also show that the quasinormal spectrum of a
massless/massive spin-$s$ field is precisely encoded in the Harish-Chandra
character corresponding to the unitary massless/massive spin-$s$ $\text{SO}(1,
D)$ representation.
| [
{
"created": "Mon, 19 Oct 2020 17:21:02 GMT",
"version": "v1"
}
] | 2021-11-24 | [
[
"Sun",
"Zimo",
""
]
] | We construct higher spin quasinormal modes algebraically in $D$-dimensional de Sitter spacetime using the ambient space formalism. The quasinormal modes fall into two nonunitary lowest-weight representations of $\mathfrak{so}(1, D)$. From a local QFT point of view, the lowest-weight quasinormal modes of massless higher spin fields are produced by gauge-invariant boundary conserved currents and boundary higher-spin Weyl tensors inserted at the southern pole of the past boundary. We also show that the quasinormal spectrum of a massless/massive spin-$s$ field is precisely encoded in the Harish-Chandra character corresponding to the unitary massless/massive spin-$s$ $\text{SO}(1, D)$ representation. |
0801.4215 | Alexander Krikun | A. Krikun | On two-point correlation functions in AdS/QCD | 13 pages, v2 - major changes: normalization of the fields fixed | Phys.Rev.D77:126014,2008 | 10.1103/PhysRevD.77.126014 | null | hep-th | null | In this paper we study the chiral symmetry breaking in the hard wall AdS/QCD
model. We solve the equations of motion up to the second order at large
momentum and obtain the first few terms in the expansion of the "left-right"
correlator, which is the measure of symmetry breaking. We study the dependence
on AdS radius to get the result as the series in t'Hooft constant.
| [
{
"created": "Mon, 28 Jan 2008 09:32:44 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Mar 2008 08:39:18 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Krikun",
"A.",
""
]
] | In this paper we study the chiral symmetry breaking in the hard wall AdS/QCD model. We solve the equations of motion up to the second order at large momentum and obtain the first few terms in the expansion of the "left-right" correlator, which is the measure of symmetry breaking. We study the dependence on AdS radius to get the result as the series in t'Hooft constant. |
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