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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9801058
|
Klaus Behrndt
|
Klaus Behrndt
|
Branes in N=2,D=4 sugra and the conformal field theory limit
|
Latex, 8 pages; added comments on corrections for the black hole
entropy coming from the near-horizon CFT; (talk given at ``31st Internat.
Symp. Ahrenshoop on the Theory of Elementary Particles'' Buckow, Sept. 2-6,
97)
| null | null |
HUB-EP-98/03
|
hep-th
| null |
In this article we summarise the brane solutions (instantons, black holes and
strings) in 4 dimensions when embedded in N=2 supergravity. Like in 10
dimensions these solutions are related by duality transformations (T-duality,
c-map). For the case that the graviphoton has no magnetic charge, we discuss
the conformal field theory description of the near-horizon geometry. The
decoupling of the massless modes in the matrix limit of the M-theory
compactified on a Calabi-Yau threefold is discussed.
|
[
{
"created": "Sat, 10 Jan 1998 23:02:12 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jan 1998 09:56:02 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Behrndt",
"Klaus",
""
]
] |
In this article we summarise the brane solutions (instantons, black holes and strings) in 4 dimensions when embedded in N=2 supergravity. Like in 10 dimensions these solutions are related by duality transformations (T-duality, c-map). For the case that the graviphoton has no magnetic charge, we discuss the conformal field theory description of the near-horizon geometry. The decoupling of the massless modes in the matrix limit of the M-theory compactified on a Calabi-Yau threefold is discussed.
|
hep-th/9609037
|
Poul H. Damgaard, Nbi
|
I.A. Batalin, K. Bering and P.H. Damgaard
|
Gauge Independence of the Lagrangian Path Integral in a Higher-Order
Formalism
|
6 pages, LaTeX
|
Phys.Lett. B389 (1996) 673-676
|
10.1016/S0370-2693(96)01334-2
|
NBI-HE-96-47, UUITP-20/96
|
hep-th
| null |
We propose a Lagrangian path integral based on gauge symmetries generated by
a symmetric higher-order $\Delta$-operator, and demonstrate that this path
integral is independent of the chosen gauge-fixing function. No explicit change
of variables in the functional integral is required to show this.
|
[
{
"created": "Tue, 3 Sep 1996 13:54:47 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 1996 11:31:21 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Batalin",
"I. A.",
""
],
[
"Bering",
"K.",
""
],
[
"Damgaard",
"P. H.",
""
]
] |
We propose a Lagrangian path integral based on gauge symmetries generated by a symmetric higher-order $\Delta$-operator, and demonstrate that this path integral is independent of the chosen gauge-fixing function. No explicit change of variables in the functional integral is required to show this.
|
hep-th/0602105
|
Michael Wohlgenannt
|
Michael Wohlgenannt
|
Non-Commutative Geometry & Physics
|
22 pages, 1 figure, seminar talks given at the Universities
Ivano-Frankivsk and Kamenets-Podolsk (Ukraine)
|
Ukr.J.Phys.55:5-14,2010
| null |
UWThPh-2006-2
|
hep-th
| null |
This talk is an introduction to ideas of non-commutative geometry and star
products. We will discuss consequences for physics in two different settings:
quantum field theories and astrophysics. In case of quantum field theory, we
will discuss two recently introduced models in some detail. Astrophysical
aspects will be discussed considering modified dispersion relations.
|
[
{
"created": "Fri, 10 Feb 2006 16:57:35 GMT",
"version": "v1"
}
] |
2010-02-23
|
[
[
"Wohlgenannt",
"Michael",
""
]
] |
This talk is an introduction to ideas of non-commutative geometry and star products. We will discuss consequences for physics in two different settings: quantum field theories and astrophysics. In case of quantum field theory, we will discuss two recently introduced models in some detail. Astrophysical aspects will be discussed considering modified dispersion relations.
|
1708.03588
|
Stephen Adler
|
Stephen L. Adler, Marc Henneaux, Pablo Pais
|
Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger
Theory
|
Latex, 17 pages
|
Phys. Rev. D 96, 085005 (2017)
|
10.1103/PhysRevD.96.085005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reexamine canonical quantization of the gauged Rarita-Schwinger theory
using the extended theory, incorporating a dimension $\frac{1}{2}$ auxiliary
spin-$\frac{1}{2}$ field $\Lambda$, in which there is an exact off-shell gauge
invariance. In $\Lambda=0$ gauge, which reduces to the original unextended
theory, our results agree with those found by Johnson and Sudarshan, and later
verified by Velo and Zwanziger, which give a canonical Rarita-Schwinger field
Dirac bracket that is singular for small gauge fields. In gauge covariant
radiation gauge, the Dirac bracket of the Rarita-Schwinger fields is
nonsingular, but does not correspond to a positive semi-definite
anticommutator, and the Dirac bracket of the auxiliary fields has a singularity
of the same form as found in the unextended theory. These results indicate that
gauged Rarita-Schwinger theory is somewhat pathological, and cannot be
canonically quantized within a conventional positive semi-definite metric
Hilbert space. We leave open the questions of whether consistent quantizations
can be achieved by using an indefinite metric Hilbert space, by path integral
methods, or by appropriate couplings to conventional dimension $\frac{3}{2}$
spin-$\frac{1}{2}$ fields.
|
[
{
"created": "Fri, 11 Aug 2017 16:03:10 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Aug 2017 14:50:42 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Sep 2017 14:25:58 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Sep 2017 15:53:24 GMT",
"version": "v4"
}
] |
2017-12-19
|
[
[
"Adler",
"Stephen L.",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Pais",
"Pablo",
""
]
] |
We reexamine canonical quantization of the gauged Rarita-Schwinger theory using the extended theory, incorporating a dimension $\frac{1}{2}$ auxiliary spin-$\frac{1}{2}$ field $\Lambda$, in which there is an exact off-shell gauge invariance. In $\Lambda=0$ gauge, which reduces to the original unextended theory, our results agree with those found by Johnson and Sudarshan, and later verified by Velo and Zwanziger, which give a canonical Rarita-Schwinger field Dirac bracket that is singular for small gauge fields. In gauge covariant radiation gauge, the Dirac bracket of the Rarita-Schwinger fields is nonsingular, but does not correspond to a positive semi-definite anticommutator, and the Dirac bracket of the auxiliary fields has a singularity of the same form as found in the unextended theory. These results indicate that gauged Rarita-Schwinger theory is somewhat pathological, and cannot be canonically quantized within a conventional positive semi-definite metric Hilbert space. We leave open the questions of whether consistent quantizations can be achieved by using an indefinite metric Hilbert space, by path integral methods, or by appropriate couplings to conventional dimension $\frac{3}{2}$ spin-$\frac{1}{2}$ fields.
|
2002.01794
|
Madhusudhan Raman
|
Madhusudhan Raman, P. N. Bala Subramanian
|
On Chebyshev Wells: Periods, Deformations, and Resurgence
|
v2: 36 pages, 2 figures, typos corrected, references added and
discussion improved, matches version to appear in PRD
|
Phys. Rev. D 101, 126014 (2020)
|
10.1103/PhysRevD.101.126014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the geometry and mechanics (both classical and quantum) of potential
wells described by squares of Chebyshev polynomials. We show that in a small
neighbourhood of the locus cut out by them in the space of hyperelliptic
curves, these systems exhibit low-orders/low-orders resurgence, where
perturbative fluctuations about the vacuum determine perturbative fluctuations
about non-perturbative saddles.
|
[
{
"created": "Wed, 5 Feb 2020 13:59:11 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 14:29:42 GMT",
"version": "v2"
}
] |
2020-07-01
|
[
[
"Raman",
"Madhusudhan",
""
],
[
"Subramanian",
"P. N. Bala",
""
]
] |
We study the geometry and mechanics (both classical and quantum) of potential wells described by squares of Chebyshev polynomials. We show that in a small neighbourhood of the locus cut out by them in the space of hyperelliptic curves, these systems exhibit low-orders/low-orders resurgence, where perturbative fluctuations about the vacuum determine perturbative fluctuations about non-perturbative saddles.
|
hep-th/9312096
|
Alexander Givental
|
Alexander Givental, Bumsig Kim
|
Quantum cohomology of flag manifolds and Toda lattices
|
35 pages
|
Commun.Math.Phys. 168 (1995) 609-642
|
10.1007/BF02101846
| null |
hep-th math.AG
| null |
We discuss relations of Vafa's quantum cohomology with Floer's homology
theory, introduce equivariant quantum cohomology, formulate some conjectures
about its general properties and, on the basis of these conjectures, compute
quantum cohomology algebras of the flag manifolds. The answer turns out to
coincide with the algebra of regular functions on an invariant lagrangian
variety of a Toda lattice.
|
[
{
"created": "Mon, 13 Dec 1993 07:58:59 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Givental",
"Alexander",
""
],
[
"Kim",
"Bumsig",
""
]
] |
We discuss relations of Vafa's quantum cohomology with Floer's homology theory, introduce equivariant quantum cohomology, formulate some conjectures about its general properties and, on the basis of these conjectures, compute quantum cohomology algebras of the flag manifolds. The answer turns out to coincide with the algebra of regular functions on an invariant lagrangian variety of a Toda lattice.
|
hep-th/0610093
|
Antonio Padilla
|
Antonio Padilla
|
A short review of "DGP Specteroscopy"
|
Minor typos corrected
|
J.Phys.A40:6827-6834,2007
|
10.1088/1751-8113/40/25/S26
| null |
hep-th
| null |
In this paper we provide a short review of the main results developed in
hep-th/0604086. We focus on linearised vacuum perturbations about the
self-accelerating branch of solutions in the DGP model. These are shown to
contain a ghost in the spectrum for any value of the brane tension. We also
comment on hep-th/0607099, where some counter arguments have been presented.
|
[
{
"created": "Mon, 9 Oct 2006 10:29:35 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2007 16:34:06 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Padilla",
"Antonio",
""
]
] |
In this paper we provide a short review of the main results developed in hep-th/0604086. We focus on linearised vacuum perturbations about the self-accelerating branch of solutions in the DGP model. These are shown to contain a ghost in the spectrum for any value of the brane tension. We also comment on hep-th/0607099, where some counter arguments have been presented.
|
1902.01415
|
Gerben Venken
|
F. F. Gautason, V. Van Hemelryck, T. Van Riet and G. Venken
|
A 10d view on the KKLT AdS vacuum and uplifting
|
14 pages; v3: major modifications v2: sharpened the abstract, added a
subsection on comparison with papers that appeared simultaneously with v1,
few references added
| null |
10.1007/JHEP06(2020)074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the ten-dimensional Einstein equations in the KKLT setting. We
verify that the quartic gaugino term is needed to remove singularities in the
on-shell action as suggested by Hamada et. al. We contrast two approaches that
have been taken in the literature when employing the effect of gaugino
condensation in the ten-dimensional equations of motion. Here we follow the
proposal to insert explicit non-zero fermion bilinar vev into the localised
energy-momentum tensor of the 7-branes obtained from varying the 10d on-shell
action with respect to the 10d metric. Our procedure is common in
semi-classical physics and is manifestly local in 10d. However, it does not
lead to the KKLT effective field theory. The alternative procedure of deriving
the energy momentum tensor after replacing fermion bilinears by the gaugino
vev, might be less well motivated in 10d, but reproduces the results of the
KKLT effective field theory.
|
[
{
"created": "Mon, 4 Feb 2019 19:00:11 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Feb 2019 10:11:30 GMT",
"version": "v2"
},
{
"created": "Tue, 12 May 2020 10:04:59 GMT",
"version": "v3"
}
] |
2020-07-15
|
[
[
"Gautason",
"F. F.",
""
],
[
"Van Hemelryck",
"V.",
""
],
[
"Van Riet",
"T.",
""
],
[
"Venken",
"G.",
""
]
] |
We analyse the ten-dimensional Einstein equations in the KKLT setting. We verify that the quartic gaugino term is needed to remove singularities in the on-shell action as suggested by Hamada et. al. We contrast two approaches that have been taken in the literature when employing the effect of gaugino condensation in the ten-dimensional equations of motion. Here we follow the proposal to insert explicit non-zero fermion bilinar vev into the localised energy-momentum tensor of the 7-branes obtained from varying the 10d on-shell action with respect to the 10d metric. Our procedure is common in semi-classical physics and is manifestly local in 10d. However, it does not lead to the KKLT effective field theory. The alternative procedure of deriving the energy momentum tensor after replacing fermion bilinears by the gaugino vev, might be less well motivated in 10d, but reproduces the results of the KKLT effective field theory.
|
1605.09677
|
Miguel Campiglia
|
Miguel Campiglia, Alok Laddha
|
Subleading soft photons and large gauge transformations
|
17 pages
| null |
10.1007/JHEP11(2016)012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lysov, Pasterski and Strominger have shown how Low's subleading soft photon
theorem can be understood as Ward identities of new symmetries of massless QED.
In this paper we offer a different perspective and show that there exists a
class of large $U(1)$ gauge transformations such that (i) the associated
(electric and magnetic) charges can be computed from first principles (ii)
their Ward identities are equivalent to Low's theorem. Our framework paves the
way to analyze the sub-subleading theorem in gravity in terms of Ward
identities associated to large diffeomorphisms.
|
[
{
"created": "Tue, 31 May 2016 15:38:49 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Campiglia",
"Miguel",
""
],
[
"Laddha",
"Alok",
""
]
] |
Lysov, Pasterski and Strominger have shown how Low's subleading soft photon theorem can be understood as Ward identities of new symmetries of massless QED. In this paper we offer a different perspective and show that there exists a class of large $U(1)$ gauge transformations such that (i) the associated (electric and magnetic) charges can be computed from first principles (ii) their Ward identities are equivalent to Low's theorem. Our framework paves the way to analyze the sub-subleading theorem in gravity in terms of Ward identities associated to large diffeomorphisms.
|
hep-th/0209038
|
Spencer Chang
|
Spencer Chang, Howard Georgi
|
Quantum Modified Mooses
|
25 pages, Latex; changed analysis on power-law running section now
with weaker results, added references and acknowledgements
|
Nucl.Phys.B672:101-122,2003
|
10.1016/j.nuclphysb.2003.09.006
|
HUTP-02/A044
|
hep-th
| null |
We summarize our findings on the quantum moduli constraints and
superpotentials of an infinite family of moose extensions of $n_f = n_c$ SUSY
QCD. For $n_c=2$, we perform concrete calculations using traditional
integrating out techniques as well as Intriligator's ``integrating in''
technique. Checking the constraints and superpotentials in the limits of
setting $\Lambda$'s to zero or integrating out mass terms, we find that the
quantum moduli constraints are local in theory space and are equivalent to a
consistent structure of ``splitting relations'' amongst the different theories.
Extending the results to arbitrary $n_c$, we show that the splitting relations,
along with a set of rules for flowing from a high energy theory to a low energy
theory, incorporate much of the physics of the moose chain. The relations can
be used both to simplify perturbative calculations of symmetry breaking and to
incorporate nonperturbative effects.
|
[
{
"created": "Wed, 4 Sep 2002 20:25:42 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2003 14:04:14 GMT",
"version": "v2"
}
] |
2009-09-11
|
[
[
"Chang",
"Spencer",
""
],
[
"Georgi",
"Howard",
""
]
] |
We summarize our findings on the quantum moduli constraints and superpotentials of an infinite family of moose extensions of $n_f = n_c$ SUSY QCD. For $n_c=2$, we perform concrete calculations using traditional integrating out techniques as well as Intriligator's ``integrating in'' technique. Checking the constraints and superpotentials in the limits of setting $\Lambda$'s to zero or integrating out mass terms, we find that the quantum moduli constraints are local in theory space and are equivalent to a consistent structure of ``splitting relations'' amongst the different theories. Extending the results to arbitrary $n_c$, we show that the splitting relations, along with a set of rules for flowing from a high energy theory to a low energy theory, incorporate much of the physics of the moose chain. The relations can be used both to simplify perturbative calculations of symmetry breaking and to incorporate nonperturbative effects.
|
hep-th/0610240
|
Sushil Srivastava
|
S. K. Srivastava and K. P. Sinha
|
Riccion as a Cosmic Cold Dark Matter Candidate and late cosmic
acceleration
|
12 pages. To appear in Mod. Phys. Lett. A
| null | null | null |
hep-th
| null |
In the past few years, a possibility is investigated, where curvature itself
behaves as a source of dark energy. So, it is natural to think whether
curvature can produce dark matter too. It is found that, at classical level,
higher-derivative gravity yields curvature inspired particles namely riccions
[11]. Here, it is probed whether riccion can be a possible source of dark
matter. Further, it is found that the late universe accelerates. Here, it is
interesting to see that acceleration is obtained from curvature without using
any dark energy source of exotic matter.
|
[
{
"created": "Mon, 23 Oct 2006 07:53:05 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Dec 2006 09:30:40 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Jan 2008 09:10:58 GMT",
"version": "v3"
},
{
"created": "Mon, 14 Jan 2008 13:53:54 GMT",
"version": "v4"
}
] |
2008-01-14
|
[
[
"Srivastava",
"S. K.",
""
],
[
"Sinha",
"K. P.",
""
]
] |
In the past few years, a possibility is investigated, where curvature itself behaves as a source of dark energy. So, it is natural to think whether curvature can produce dark matter too. It is found that, at classical level, higher-derivative gravity yields curvature inspired particles namely riccions [11]. Here, it is probed whether riccion can be a possible source of dark matter. Further, it is found that the late universe accelerates. Here, it is interesting to see that acceleration is obtained from curvature without using any dark energy source of exotic matter.
|
hep-th/0507246
|
Sebastien Reuillon
|
Peter Forgacs, Sebastien Reuillon and Mikhail Volkov
|
Superconducting vortices in Semilocal Models
|
7 pages, 5 figures. Final version to appear in Phys. Rev. Lett
|
Phys.Rev.Lett. 96 (2006) 041601
|
10.1103/PhysRevLett.96.041601
| null |
hep-th hep-ph
| null |
It is shown that the SU(2) semilocal model -- the Abelian Higgs model with
two complex scalars -- admits a new class of stationary, straight string
solutions carrying a persistent current and having finite energy per unit
length. In the plane orthogonal to their direction they correspond to a
nontrivial deformation of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices
by the current flowing through them. The new solutions bifurcate with the ANO
vortices in the limit of vanishing current. They can be either static or
stationary. In the stationary case the relative phase of the two scalars
rotates at a constant velocity, giving rise to an electric field and angular
momentum, while the energy remains finite. The current has a strong localizing
effect on the magnetic field, thus evading the known spreading instability of
the ANO-semilocal vortex solutions. The new static vortex solutions have lower
energy than the ANO vortices and could be of considerable importance in various
physical systems (from condensed matter to cosmic strings).
|
[
{
"created": "Tue, 26 Jul 2005 06:32:08 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 08:08:31 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Forgacs",
"Peter",
""
],
[
"Reuillon",
"Sebastien",
""
],
[
"Volkov",
"Mikhail",
""
]
] |
It is shown that the SU(2) semilocal model -- the Abelian Higgs model with two complex scalars -- admits a new class of stationary, straight string solutions carrying a persistent current and having finite energy per unit length. In the plane orthogonal to their direction they correspond to a nontrivial deformation of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by the current flowing through them. The new solutions bifurcate with the ANO vortices in the limit of vanishing current. They can be either static or stationary. In the stationary case the relative phase of the two scalars rotates at a constant velocity, giving rise to an electric field and angular momentum, while the energy remains finite. The current has a strong localizing effect on the magnetic field, thus evading the known spreading instability of the ANO-semilocal vortex solutions. The new static vortex solutions have lower energy than the ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).
|
2011.01764
|
Renato Fonseca
|
Renato M. Fonseca
|
GroupMath: A Mathematica package for group theory calculations
|
Describes version 1.1 of the program. Code available on
http://renatofonseca.net/groupmath
| null |
10.1016/j.cpc.2021.108085
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
GroupMath is a Mathematica package which performs several calculations
related to semi-simple Lie algebras and the permutation groups, both of which
are important in particle physics as well as in other areas of research.
|
[
{
"created": "Wed, 28 Oct 2020 18:50:08 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Fonseca",
"Renato M.",
""
]
] |
GroupMath is a Mathematica package which performs several calculations related to semi-simple Lie algebras and the permutation groups, both of which are important in particle physics as well as in other areas of research.
|
hep-th/0409291
|
Yang-Hui Evariste He
|
Ron Donagi, Yang-Hui He, Burt Ovrut, Rene Reinbacher
|
Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x
U(1)_Y Spectra
|
11+1 pp
|
Phys.Lett. B618 (2005) 259-264
|
10.1016/j.physletb.2005.05.004
|
UPR-1087-T
|
hep-th math.AG
| null |
A methodology for computing the massless spectrum of heterotic vacua with
Wilson lines is presented. This is applied to a specific class of vacua with
holomorphic SU(5)-bundles over torus-fibered Calabi-Yau threefolds with
fundamental group Z_2. These vacua lead to low energy theories with the
standard model gauge group SU(3)_C x SU(2)_L x U(1)_Yand three families of
quark/leptons. The massless spectrum is computed, including the multiplicity of
Higgs doublets.
|
[
{
"created": "Tue, 28 Sep 2004 19:07:05 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2004 01:16:24 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Donagi",
"Ron",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ovrut",
"Burt",
""
],
[
"Reinbacher",
"Rene",
""
]
] |
A methodology for computing the massless spectrum of heterotic vacua with Wilson lines is presented. This is applied to a specific class of vacua with holomorphic SU(5)-bundles over torus-fibered Calabi-Yau threefolds with fundamental group Z_2. These vacua lead to low energy theories with the standard model gauge group SU(3)_C x SU(2)_L x U(1)_Yand three families of quark/leptons. The massless spectrum is computed, including the multiplicity of Higgs doublets.
|
hep-th/0410253
|
Niklas Beisert
|
N. Beisert, V. A. Kazakov, K. Sakai
|
Algebraic Curve for the SO(6) sector of AdS/CFT
|
58 pages, v2: minor changes, references added, v3: "length"
identified in sigma model, comparison of curves improved, minor changes, v4:
references added, to appear in Commun. Math. Phys
|
Commun.Math.Phys.263:611-657,2006
|
10.1007/s00220-005-1528-x
|
AEI 2004-087, LPTENS-04/44, NSF-KITP-04-115, PUTP-2138
|
hep-th nlin.SI
| null |
We construct the general algebraic curve of degree four solving the classical
sigma model on RxS5. Up to two loops it coincides with the algebraic curve for
the dual sector of scalar operators in N=4 SYM, also constructed here. We
explicitly reproduce some particular solutions.
|
[
{
"created": "Tue, 26 Oct 2004 19:27:26 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 2004 19:39:18 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Feb 2005 18:22:30 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Oct 2005 19:21:48 GMT",
"version": "v4"
}
] |
2011-03-23
|
[
[
"Beisert",
"N.",
""
],
[
"Kazakov",
"V. A.",
""
],
[
"Sakai",
"K.",
""
]
] |
We construct the general algebraic curve of degree four solving the classical sigma model on RxS5. Up to two loops it coincides with the algebraic curve for the dual sector of scalar operators in N=4 SYM, also constructed here. We explicitly reproduce some particular solutions.
|
hep-th/9511174
|
U. Grimm
|
Uwe Grimm and Bernard Nienhuis
|
Scaling Properties of the Ising Model in a Field
|
10 pages, uuencoded gz-compressed PostScript
|
Symmetry, Statistical Mechanical Models and Applications,
Proceedings of the Seventh Nankai Workshop, Tianjin 1995, edited by M.L. Ge
and F.Y. Wu (World Scientific, Singapore, 1996) pp. 384-393
| null |
ITFA-95-26, to appear in the proceedings of the seventh NANKAI
workshop, `Symmetry, Statistical Mechanical Models, and Applications', August
12-13, 1995, Tianjin, China
|
hep-th
| null |
The dilute A_3 model is a solvable IRF (interaction-round-a-face) model with
three local states and adjacency conditions encoded by the Dynkin diagram of
the Lie algebra A_3. It can be regarded as a solvable version of a critical
Ising model in a magnetic field. One therefore expects the scaling limit to be
governed by Zamolodchikov's integrable perturbation of the c=1/2 conformal
field theory. We perform a detailed numerical investigation of the solutions of
the Bethe ansatz equation for the off-critical model. Our results agree
perfectly with the predicted values for the lowest masses of the stable
particles and support the assumptions on the nature of the Bethe ansatz
solutions which enter crucially in a recent thermodynamic Bethe ansatz
calculation of the factorized scattering matrix.
|
[
{
"created": "Fri, 24 Nov 1995 09:54:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grimm",
"Uwe",
""
],
[
"Nienhuis",
"Bernard",
""
]
] |
The dilute A_3 model is a solvable IRF (interaction-round-a-face) model with three local states and adjacency conditions encoded by the Dynkin diagram of the Lie algebra A_3. It can be regarded as a solvable version of a critical Ising model in a magnetic field. One therefore expects the scaling limit to be governed by Zamolodchikov's integrable perturbation of the c=1/2 conformal field theory. We perform a detailed numerical investigation of the solutions of the Bethe ansatz equation for the off-critical model. Our results agree perfectly with the predicted values for the lowest masses of the stable particles and support the assumptions on the nature of the Bethe ansatz solutions which enter crucially in a recent thermodynamic Bethe ansatz calculation of the factorized scattering matrix.
|
1703.00909
|
Mariana Carrillo-Gonzalez
|
Mariana Carrillo Gonzalez, Ali Masoumi, Adam R. Solomon, and Mark
Trodden
|
The WKB approximation and tunneling in theories with non-canonical
kinetic terms
|
21 pages, 3 figures
|
Phys. Rev. D 96, 056021 (2017)
|
10.1103/PhysRevD.96.056021
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Tunneling is a fascinating aspect of quantum mechanics that renders the local
minima of a potential meta-stable, with important consequences for particle
physics, for the early hot stage of the universe, and more speculatively, for
the behavior of the putative multiverse. While this phenomenon has been studied
extensively for systems which have canonical kinetic terms, many theories of
fundamental physics contain fields with non-canonical kinetic structures. It is
therefore desirable to have a detailed framework for calculating tunneling
rates and initial states after tunneling for these theories. In this work, we
present such a rigorous formulation and illustrate its use by applying it to a
number of examples.
|
[
{
"created": "Thu, 2 Mar 2017 17:50:43 GMT",
"version": "v1"
}
] |
2017-10-04
|
[
[
"Gonzalez",
"Mariana Carrillo",
""
],
[
"Masoumi",
"Ali",
""
],
[
"Solomon",
"Adam R.",
""
],
[
"Trodden",
"Mark",
""
]
] |
Tunneling is a fascinating aspect of quantum mechanics that renders the local minima of a potential meta-stable, with important consequences for particle physics, for the early hot stage of the universe, and more speculatively, for the behavior of the putative multiverse. While this phenomenon has been studied extensively for systems which have canonical kinetic terms, many theories of fundamental physics contain fields with non-canonical kinetic structures. It is therefore desirable to have a detailed framework for calculating tunneling rates and initial states after tunneling for these theories. In this work, we present such a rigorous formulation and illustrate its use by applying it to a number of examples.
|
1710.04518
|
Rafael Augusto Couceiro Correa
|
M. Chinaglia, W. T. Cruz, R. A. C. Correa, W. de Paula, P. H. R. S.
Moraes
|
Configurational Entropy as a tool to select a physical Thick Brane Model
| null | null |
10.1016/j.physletb.2018.01.070
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analise braneworld scenarios via a configurational entropy (CE) formalism.
Braneworld scenarios have drawn attention mainly due to the fact that they can
explain the hierarchy problem and unify the fundamental forces through a
symmetry breaking procedure. Those scenarios localize matter in a $(3+1)$
hypersurface, the brane, which is inserted in a higher dimensional space, the
bulk. Novel analytical braneworld models, {in which the warp factor depends} on
a free parameter $n$, were recently released in the literature. In this article
we will provide a way to constrain this parameter through the relation between
information and dynamics of a system described by the CE. We demonstrate that
in some cases the CE is an important tool in order to provide the most probable
physical system among all the possibilities. In addition, we show that the
highest CE is correlated to a tachyonic sector of the configuration, where the
solutions for the corresponding model are dynamically unstable.
|
[
{
"created": "Thu, 12 Oct 2017 13:48:16 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Nov 2017 21:25:58 GMT",
"version": "v2"
}
] |
2018-03-14
|
[
[
"Chinaglia",
"M.",
""
],
[
"Cruz",
"W. T.",
""
],
[
"Correa",
"R. A. C.",
""
],
[
"de Paula",
"W.",
""
],
[
"Moraes",
"P. H. R. S.",
""
]
] |
We analise braneworld scenarios via a configurational entropy (CE) formalism. Braneworld scenarios have drawn attention mainly due to the fact that they can explain the hierarchy problem and unify the fundamental forces through a symmetry breaking procedure. Those scenarios localize matter in a $(3+1)$ hypersurface, the brane, which is inserted in a higher dimensional space, the bulk. Novel analytical braneworld models, {in which the warp factor depends} on a free parameter $n$, were recently released in the literature. In this article we will provide a way to constrain this parameter through the relation between information and dynamics of a system described by the CE. We demonstrate that in some cases the CE is an important tool in order to provide the most probable physical system among all the possibilities. In addition, we show that the highest CE is correlated to a tachyonic sector of the configuration, where the solutions for the corresponding model are dynamically unstable.
|
hep-th/9508045
|
Ramzi Khuri
|
Ramzi R. Khuri and Robert C. Myers
|
Dynamics of Extreme Black Holes and Massive String States
|
18 pages, harvmac
|
Phys.Rev. D52 (1995) 6988-6996
|
10.1103/PhysRevD.52.6988
|
McGill/95-38, CERN-TH/95-213
|
hep-th gr-qc
| null |
In a recent paper, Duff and Rahmfeld argued that certain massive $N_R=1/2$
states of the four-dimensional heterotic string correspond to extreme black
hole solutions. We provide further, dynamical, evidence for this identification
by comparing the scattering of these elementary string states with that of the
corresponding extreme black holes, in the limit of low velocities.
|
[
{
"created": "Thu, 10 Aug 1995 03:00:09 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Khuri",
"Ramzi R.",
""
],
[
"Myers",
"Robert C.",
""
]
] |
In a recent paper, Duff and Rahmfeld argued that certain massive $N_R=1/2$ states of the four-dimensional heterotic string correspond to extreme black hole solutions. We provide further, dynamical, evidence for this identification by comparing the scattering of these elementary string states with that of the corresponding extreme black holes, in the limit of low velocities.
|
0801.1148
|
A. Lewis Licht
|
A. Lewis Licht
|
Operator Coupling of Gauge Fields and Unparticles
|
4 pages
| null | null | null |
hep-th
| null |
We show that it is possible to couple gauge fields to unparticles without the
use of path integrals in the unparticle effective action. This is done by
treating the unparticle field as a vector in an abstract Hilbert space and the
gauge field as an operator on that space.
|
[
{
"created": "Tue, 8 Jan 2008 02:13:22 GMT",
"version": "v1"
}
] |
2008-01-09
|
[
[
"Licht",
"A. Lewis",
""
]
] |
We show that it is possible to couple gauge fields to unparticles without the use of path integrals in the unparticle effective action. This is done by treating the unparticle field as a vector in an abstract Hilbert space and the gauge field as an operator on that space.
|
1601.06841
|
Hee-Cheol Kim
|
Hee-Cheol Kim
|
Line defects and 5d instanton partition functions
|
17 pages, 1 figure; typos fixed, references corrected; version to be
published in JHEP
| null |
10.1007/JHEP03(2016)199
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider certain line defect operators in five-dimensional SUSY gauge
theories, whose interaction with the self-dual instantons is described by 1d
ADHM-like gauged quantum mechanics constructed by Tong and Wong. The partition
function in the presence of these operators is known to be a generating
function of BPS Wilson loops in skew symmetric tensor representations of the
gauge group. We calculate the partition function and explicitly prove that it
is a finite polynomial of the defect mass parameter $x$, which is an essential
property of the defect operator and the Wilson loop generating function. The
relation between the line defect partition function and the qq-character
defined by N. Nekrasov is briefly discussed.
|
[
{
"created": "Mon, 25 Jan 2016 22:49:50 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2016 21:33:47 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Kim",
"Hee-Cheol",
""
]
] |
We consider certain line defect operators in five-dimensional SUSY gauge theories, whose interaction with the self-dual instantons is described by 1d ADHM-like gauged quantum mechanics constructed by Tong and Wong. The partition function in the presence of these operators is known to be a generating function of BPS Wilson loops in skew symmetric tensor representations of the gauge group. We calculate the partition function and explicitly prove that it is a finite polynomial of the defect mass parameter $x$, which is an essential property of the defect operator and the Wilson loop generating function. The relation between the line defect partition function and the qq-character defined by N. Nekrasov is briefly discussed.
|
0803.2513
|
Timo Weigand
|
Mirjam Cvetic, Robert Richter, Timo Weigand
|
(Non-)BPS bound states and D-brane instantons
|
39 pages, 4 tables, 2 figures; v2: Equ. (20) corrected, related
discussion adjusted, 1 reference added; v3: JHEP version with more refs added
|
JHEP 0807:012,2008
|
10.1088/1126-6708/2008/07/012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study non-perturbative effects in four-dimensional N=1 supersymmetric
orientifold compactifications due to D-brane instantons which are generically
not invariant under the orientifold projection. We show that they can yield
superpotential contributions via a multi-instanton process at threshold. Some
constituents of this configuration form bound states away from the wall of
marginal stability which can decay in other regions of moduli space. A
microscopic analysis reveals how contributions to the superpotential are
possible when new BPS states compensate for their decay. We study this
concretely for D2-brane instantons along decaying special Lagrangians in Type
IIA and for D5-branes instantons carrying holomorphic bundles in Type I theory.
|
[
{
"created": "Mon, 17 Mar 2008 20:00:18 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Apr 2008 15:02:36 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jun 2008 16:51:24 GMT",
"version": "v3"
}
] |
2009-06-23
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Richter",
"Robert",
""
],
[
"Weigand",
"Timo",
""
]
] |
We study non-perturbative effects in four-dimensional N=1 supersymmetric orientifold compactifications due to D-brane instantons which are generically not invariant under the orientifold projection. We show that they can yield superpotential contributions via a multi-instanton process at threshold. Some constituents of this configuration form bound states away from the wall of marginal stability which can decay in other regions of moduli space. A microscopic analysis reveals how contributions to the superpotential are possible when new BPS states compensate for their decay. We study this concretely for D2-brane instantons along decaying special Lagrangians in Type IIA and for D5-branes instantons carrying holomorphic bundles in Type I theory.
|
1710.01005
|
Andrew Lucas
|
Andrew Lucas
|
Constraints on hydrodynamics from many-body quantum chaos
|
7 + 19 pages, 1+0 figures. v2: revised presentation of key results,
added small calculations on SYK chains
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Is the hydrodynamics of an interacting many-body system fundamentally limited
by basic principles of quantum mechanics? Starting with the conjecture that
viscosity is at least as large as entropy density (as measured in fundamental
units), there has been a long search for a precise answer to this question. In
this work, we identify a simple relationship between hydrodynamics and
many-body quantum chaos in a broad class of experimentally realizable systems.
Consistency with the quantum butterfly effect leads to upper bounds on the
speed of sound and diffusion constants of hydrodynamics. These bounds link two
very different theories of quantum many-body dynamics, clarify the relationship
between classical hydrodynamics and quantum information loss, and provide a
simple way to constrain theories of thermalization and quantum chaos in
experiments.
|
[
{
"created": "Tue, 3 Oct 2017 06:32:46 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2017 20:06:53 GMT",
"version": "v2"
}
] |
2017-10-27
|
[
[
"Lucas",
"Andrew",
""
]
] |
Is the hydrodynamics of an interacting many-body system fundamentally limited by basic principles of quantum mechanics? Starting with the conjecture that viscosity is at least as large as entropy density (as measured in fundamental units), there has been a long search for a precise answer to this question. In this work, we identify a simple relationship between hydrodynamics and many-body quantum chaos in a broad class of experimentally realizable systems. Consistency with the quantum butterfly effect leads to upper bounds on the speed of sound and diffusion constants of hydrodynamics. These bounds link two very different theories of quantum many-body dynamics, clarify the relationship between classical hydrodynamics and quantum information loss, and provide a simple way to constrain theories of thermalization and quantum chaos in experiments.
|
hep-th/9402146
| null |
N. R. F. Braga and H. Montani
|
Chiral Bosons as solutions of the BV master equation 2D chiral gauge
theories
|
11 pages, TEX dialet, IF/UFRJ-94-6
|
Mod.Phys.Lett.A10:1365-1374,1995
|
10.1142/S0217732395001484
| null |
hep-th
| null |
We construct the chiral Wess-Zumino term as a solution for the
Batalin-Vilkovisky master equation for anomalous two-dimensional gauge
theories, working in an extended field-antifield space, where the gauge group
elements are introduced as additional degrees of freedom.
We analyze the Abelian and the non-Abelian cases, calculating in both cases
the BRST generator in order to show the physical equivalence between this
chiral solution for the master equation and the usual (non-chiral) one.
|
[
{
"created": "Fri, 25 Feb 1994 17:56:33 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Braga",
"N. R. F.",
""
],
[
"Montani",
"H.",
""
]
] |
We construct the chiral Wess-Zumino term as a solution for the Batalin-Vilkovisky master equation for anomalous two-dimensional gauge theories, working in an extended field-antifield space, where the gauge group elements are introduced as additional degrees of freedom. We analyze the Abelian and the non-Abelian cases, calculating in both cases the BRST generator in order to show the physical equivalence between this chiral solution for the master equation and the usual (non-chiral) one.
|
1006.1719
|
Da-Wei Pang
|
Bum-Hoon Lee, Da-Wei Pang and Chanyong Park
|
Strange Metallic Behavior in Anisotropic Background
|
24 pages, 2 figures, minor modifications
|
JHEP 1007:057,2010
|
10.1007/JHEP07(2010)057
|
CQUeST-2010-0369
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our analysis on conductivity in the anisotropic background by
employing the D-brane probe technique, where the D-branes play the role of
charge carriers. The DC and AC conductivity for massless charge carriers are
obtained analytically, while interesting curves for the AC conductivity are
also plotted. For massive charge carriers, we calculate the DC and AC
conductivities in the dilute limit and we fix the parameters in the
Einstein-Maxwell-dilaton theory so that the background exhibits the same
scaling behaviors as those for real-world strange metals. The DC conductivity
at finite density is also computed.
|
[
{
"created": "Wed, 9 Jun 2010 07:17:01 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2010 23:30:51 GMT",
"version": "v2"
}
] |
2010-08-12
|
[
[
"Lee",
"Bum-Hoon",
""
],
[
"Pang",
"Da-Wei",
""
],
[
"Park",
"Chanyong",
""
]
] |
We continue our analysis on conductivity in the anisotropic background by employing the D-brane probe technique, where the D-branes play the role of charge carriers. The DC and AC conductivity for massless charge carriers are obtained analytically, while interesting curves for the AC conductivity are also plotted. For massive charge carriers, we calculate the DC and AC conductivities in the dilute limit and we fix the parameters in the Einstein-Maxwell-dilaton theory so that the background exhibits the same scaling behaviors as those for real-world strange metals. The DC conductivity at finite density is also computed.
|
hep-th/0511223
|
Olivera Miskovic
|
Olivera Miskovic and Josep M. Pons
|
Fluctuations around classical solutions for gauge theories in Lagrangian
and Hamiltonian approach
|
27 pages; non-essential but clarifying changes in Introduction, Sec.
3 and Conclusions; the version to appear in J.Phys.A
|
J.Phys. A39 (2006) 9611-9633
|
10.1088/0305-4470/39/30/014
| null |
hep-th math-ph math.MP physics.class-ph
| null |
We analyze the dynamics of gauge theories and constrained systems in general
under small perturbations around a classical solution (background) in both
Lagrangian and Hamiltonian formalisms. We prove that a fluctuations theory,
described by a quadratic Lagrangian, has the same constraint structure and
number of physical degrees of freedom as the original non-perturbed theory,
assuming the non-degenerate solution has been chosen. We show that the number
of Noether gauge symmetries is the same in both theories, but that the gauge
algebra in the fluctuations theory becomes Abelianized. We also show that the
fluctuations theory inherits all functionally independent rigid symmetries from
the original theory, and that these symmetries are generated by linear or
quadratic generators according to whether the original symmetry is preserved by
the background, or is broken by it. We illustrate these results with the
examples.
|
[
{
"created": "Tue, 22 Nov 2005 19:07:51 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2006 15:30:09 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Miskovic",
"Olivera",
""
],
[
"Pons",
"Josep M.",
""
]
] |
We analyze the dynamics of gauge theories and constrained systems in general under small perturbations around a classical solution (background) in both Lagrangian and Hamiltonian formalisms. We prove that a fluctuations theory, described by a quadratic Lagrangian, has the same constraint structure and number of physical degrees of freedom as the original non-perturbed theory, assuming the non-degenerate solution has been chosen. We show that the number of Noether gauge symmetries is the same in both theories, but that the gauge algebra in the fluctuations theory becomes Abelianized. We also show that the fluctuations theory inherits all functionally independent rigid symmetries from the original theory, and that these symmetries are generated by linear or quadratic generators according to whether the original symmetry is preserved by the background, or is broken by it. We illustrate these results with the examples.
|
hep-th/9501063
|
Annette Holtkamp
|
Detlev Buchholz and Rainer Verch
|
Scaling Algebras and Renormalization Group in Algebraic Quantum Field
Theory
|
47 pages, no figures, ams-latex
|
Rev.Math.Phys. 7 (1995) 1195-1240
|
10.1142/S0129055X9500044X
|
DESY 95-004
|
hep-th
| null |
For any given algebra of local observables in Minkowski space an associated
scaling algebra is constructed on which renormalization group (scaling)
transformations act in a canonical manner. The method can be carried over to
arbitrary spacetime manifolds and provides a framework for the systematic
analysis of the short distance properties of local quantum field theories. It
is shown that every theory has a (possibly non-unique) scaling limit which can
be classified according to its classical or quantum nature. Dilation invariant
theories are stable under the action of the renormalization group. Within this
framework the problem of wedge (Bisognano-Wichmann) duality in the scaling
limit is discussed and some of its physical implications are outlined.
|
[
{
"created": "Mon, 16 Jan 1995 11:45:42 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Buchholz",
"Detlev",
""
],
[
"Verch",
"Rainer",
""
]
] |
For any given algebra of local observables in Minkowski space an associated scaling algebra is constructed on which renormalization group (scaling) transformations act in a canonical manner. The method can be carried over to arbitrary spacetime manifolds and provides a framework for the systematic analysis of the short distance properties of local quantum field theories. It is shown that every theory has a (possibly non-unique) scaling limit which can be classified according to its classical or quantum nature. Dilation invariant theories are stable under the action of the renormalization group. Within this framework the problem of wedge (Bisognano-Wichmann) duality in the scaling limit is discussed and some of its physical implications are outlined.
|
1507.01678
|
Sanefumi Moriyama
|
Yasuyuki Hatsuda, Sanefumi Moriyama, Kazumi Okuyama
|
Exact Instanton Expansion of ABJM Partition Function
|
47 pages, no figures, a review article submitted to PTEP
| null |
10.1093/ptep/ptv145
|
DESY 15-101, OCU-PHYS 428
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review recent progress in determining the partition function of the ABJM
theory in the large N expansion, including all of the perturbative and
non-perturbative corrections. Especially, we will focus on how these exact
expansions are obtained from various beautiful relations to Fermi gas system,
topological string theory, integrable model and supergroup.
|
[
{
"created": "Tue, 7 Jul 2015 05:37:09 GMT",
"version": "v1"
}
] |
2015-11-25
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Moriyama",
"Sanefumi",
""
],
[
"Okuyama",
"Kazumi",
""
]
] |
We review recent progress in determining the partition function of the ABJM theory in the large N expansion, including all of the perturbative and non-perturbative corrections. Especially, we will focus on how these exact expansions are obtained from various beautiful relations to Fermi gas system, topological string theory, integrable model and supergroup.
|
1105.1112
|
Herbert Weigel
|
N. Graham, M. Quandt, H. Weigel
|
Fermion Energies in the Background of a Cosmic String
|
38 pages, 6 figures, version accepted for publication in Phys Rev D
|
Phys.Rev.D84:025017,2011
|
10.1103/PhysRevD.84.025017
|
Phys. Rev. D 84, (2011) 025017
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a thorough exposition, including technical and numerical details,
of previously published results on the quantum stabilization of cosmic strings.
Stabilization occurs through the coupling to a heavy fermion doublet in a
reduced version of the standard model. We combine the vacuum polarization
energy of fermion zero-point fluctuations and the binding energy of occupied
energy levels, which are of the same order in a semi-classical expansion.
Populating these bound states assigns a charge to the string. We show that
strings carrying fermion charge become stable if the electro-weak bosons are
coupled to a fermion that is less than twice as heavy as the top quark. The
vacuum remains stable in our model, because neutral strings are not
energetically favored. These findings suggests that extraordinarily large
fermion masses or unrealistic couplings are not required to bind a cosmic
string in the standard model.
|
[
{
"created": "Thu, 5 May 2011 16:08:07 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2011 16:25:50 GMT",
"version": "v2"
}
] |
2011-08-09
|
[
[
"Graham",
"N.",
""
],
[
"Quandt",
"M.",
""
],
[
"Weigel",
"H.",
""
]
] |
We provide a thorough exposition, including technical and numerical details, of previously published results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced version of the standard model. We combine the vacuum polarization energy of fermion zero-point fluctuations and the binding energy of occupied energy levels, which are of the same order in a semi-classical expansion. Populating these bound states assigns a charge to the string. We show that strings carrying fermion charge become stable if the electro-weak bosons are coupled to a fermion that is less than twice as heavy as the top quark. The vacuum remains stable in our model, because neutral strings are not energetically favored. These findings suggests that extraordinarily large fermion masses or unrealistic couplings are not required to bind a cosmic string in the standard model.
|
hep-th/0310207
|
Andelka Andrasi
|
A. Andra\v{s}i
|
$D_{00}$ Propagator in the Coulomb Gauge
|
5 pages, 4 figures, revised version, accepted for publication in
Europhysics Letters
|
Europhys.Lett.66:338-343,2004; Erratum-ibid.66:915,2004
|
10.1209/epl/i2003-10213-1 10.1209/epl/i2004-10063-3
| null |
hep-th
| null |
The time-time component of the gluon propagator in the Coulomb gauge is
believed to provide a long-range confining force. We give the result, including
finite parts, for the $ D_{00} $ propagator to order $ g^2 $ in the Coulomb
gauge.
|
[
{
"created": "Wed, 22 Oct 2003 13:04:43 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Mar 2004 10:22:37 GMT",
"version": "v2"
}
] |
2010-12-17
|
[
[
"Andraši",
"A.",
""
]
] |
The time-time component of the gluon propagator in the Coulomb gauge is believed to provide a long-range confining force. We give the result, including finite parts, for the $ D_{00} $ propagator to order $ g^2 $ in the Coulomb gauge.
|
hep-th/9210062
|
Netah
|
Rolf Schimmrigk
|
Critical String Vacua from Noncritical Manifolds: A Novel Framework for
String Compactification
|
11 pages, HD-THEP-92-29
|
Phys.Rev.Lett.70:3688-3691,1993
|
10.1103/PhysRevLett.70.3688
| null |
hep-th
| null |
A new framework is found for the compactification of supersymmetric string
theory. It is shown that the massless spectra of Calabi--Yau manifolds of
complex dimension $D_{crit}$ can be derived from noncritical manifolds of
complex dimension $2k + D_{crit}$, $k\geq 1$. These higher dimensional
manifolds are spaces whose nonzero Ricci curvature is quantized in a particular
way. This class is more general than that of Calabi--Yau manifolds because it
contains spaces which correspond to critical string vacua with no K\"ahler
deformations, i.e. no antigenerations, thus providing mirrors of rigid
Calabi--Yau manifolds. The constructions introduced here lead to new insights
into the relation between exactly solvable models and their mean field theories
on the one hand and Calabi--Yau manifolds on the other. They also raise
fundamental questions about the Kaluza--Klein concept of string
compactification, in particular regarding the r\^{o}le played by the dimension
of the internal theories.
|
[
{
"created": "Mon, 12 Oct 1992 09:20:11 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Schimmrigk",
"Rolf",
""
]
] |
A new framework is found for the compactification of supersymmetric string theory. It is shown that the massless spectra of Calabi--Yau manifolds of complex dimension $D_{crit}$ can be derived from noncritical manifolds of complex dimension $2k + D_{crit}$, $k\geq 1$. These higher dimensional manifolds are spaces whose nonzero Ricci curvature is quantized in a particular way. This class is more general than that of Calabi--Yau manifolds because it contains spaces which correspond to critical string vacua with no K\"ahler deformations, i.e. no antigenerations, thus providing mirrors of rigid Calabi--Yau manifolds. The constructions introduced here lead to new insights into the relation between exactly solvable models and their mean field theories on the one hand and Calabi--Yau manifolds on the other. They also raise fundamental questions about the Kaluza--Klein concept of string compactification, in particular regarding the r\^{o}le played by the dimension of the internal theories.
|
1211.5587
|
Michael Abbott
|
Michael C. Abbott
|
Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
|
16+12 pages. v2 improves comparison to S-matrices, and adds
references. v3 has small textual changes to match published version
|
JHEP 02 (2013) 102
|
10.1007/JHEP02(2013)102
|
TIFR/TH/12-35
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies semiclassical strings in AdS3 x S3 x S3 x S1 using the
algebraic curve. Calculating one-loop corrections to the energy of the giant
magnon fixes the constant term c in the expansion of the coupling h(\lambda).
Comparing these to similar corrections for long spinning strings gives a
prediction for the one-loop term f_1 in the expansion of the cusp anomalous
dimension f(h), for all \alpha (where \alpha --> 1 is the AdS3 x S3 x T4
limit). For these semiclassical mode sums there is a similar choice of
regularisation prescriptions to that encountered in AdS4 x CP3. However at
\alpha \neq 1/2 they lead to different values of f_1 and are therefore not
related by a simple change of the coupling. The algebraic curve is also used to
calculate various finite-size corrections for giant magnons, which are
well-behaved as \alpha --> 1, and can be compared to the recently published
S-matrices.
|
[
{
"created": "Fri, 23 Nov 2012 20:06:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2012 15:02:55 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Feb 2013 22:38:00 GMT",
"version": "v3"
}
] |
2013-02-21
|
[
[
"Abbott",
"Michael C.",
""
]
] |
This paper studies semiclassical strings in AdS3 x S3 x S3 x S1 using the algebraic curve. Calculating one-loop corrections to the energy of the giant magnon fixes the constant term c in the expansion of the coupling h(\lambda). Comparing these to similar corrections for long spinning strings gives a prediction for the one-loop term f_1 in the expansion of the cusp anomalous dimension f(h), for all \alpha (where \alpha --> 1 is the AdS3 x S3 x T4 limit). For these semiclassical mode sums there is a similar choice of regularisation prescriptions to that encountered in AdS4 x CP3. However at \alpha \neq 1/2 they lead to different values of f_1 and are therefore not related by a simple change of the coupling. The algebraic curve is also used to calculate various finite-size corrections for giant magnons, which are well-behaved as \alpha --> 1, and can be compared to the recently published S-matrices.
|
hep-th/9502083
|
Yusuke Taniguchi
|
Hiroyuki Hata and Yusuke Taniguchi
|
Color Confinement in Perturbation Theory from a Topological Model,
|
12 pages + 1 uuencoded eps figure, LaTeX
|
Prog.Theor.Phys. 94 (1995) 435-444
|
10.1143/PTP.94.435
|
KUNS-1325
|
hep-th
| null |
Color confinement by the mechanism of Kugo and Ojima can treat confinement of
any quantized color carrying fields including dynamical quarks. However, the
non-perturbative condition for this confinement has been known to be satisfied
only in the pure-gauge model (PGM), which is a topological model without
physical degrees of freedom. Here we analyze the Yang-Mills theory by adding
physical degrees of freedom as perturbation to PGM. We find that quarks and
gluons are indeed confined in this perturbation theory.
|
[
{
"created": "Tue, 14 Feb 1995 07:56:12 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Hata",
"Hiroyuki",
""
],
[
"Taniguchi",
"Yusuke",
""
]
] |
Color confinement by the mechanism of Kugo and Ojima can treat confinement of any quantized color carrying fields including dynamical quarks. However, the non-perturbative condition for this confinement has been known to be satisfied only in the pure-gauge model (PGM), which is a topological model without physical degrees of freedom. Here we analyze the Yang-Mills theory by adding physical degrees of freedom as perturbation to PGM. We find that quarks and gluons are indeed confined in this perturbation theory.
|
1106.1890
|
Christian Saemann
|
Christian Saemann and Richard J. Szabo
|
Quantization of 2-Plectic Manifolds
|
14 pages, based on talk given by CS at the fourth annual meeting of
the European Noncommutative Geometry Research Training Network in Bucharest
on 29 April 2011. To appear in the proceedings
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe an extension of the axioms of quantization to the case of
2-plectic manifolds. We show how such quantum spaces can be obtained as stable
classical solutions in a zero-dimensional 3-algebra reduced model obtained by
dimensional reduction of the Bagger-Lambert-Gustavsson theory. We demonstrate
that the groupoid approach to geometric quantization proposed by Hawkins and
others can be useful for quantizing 2-plectic manifolds. We discuss our results
in the context of recent developments in the quantum geometry of M-branes, and
in the nonassociative deformation of spacetime induced by closed strings in the
presence of a 2-plectic form.
|
[
{
"created": "Thu, 9 Jun 2011 19:47:40 GMT",
"version": "v1"
}
] |
2011-06-10
|
[
[
"Saemann",
"Christian",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We describe an extension of the axioms of quantization to the case of 2-plectic manifolds. We show how such quantum spaces can be obtained as stable classical solutions in a zero-dimensional 3-algebra reduced model obtained by dimensional reduction of the Bagger-Lambert-Gustavsson theory. We demonstrate that the groupoid approach to geometric quantization proposed by Hawkins and others can be useful for quantizing 2-plectic manifolds. We discuss our results in the context of recent developments in the quantum geometry of M-branes, and in the nonassociative deformation of spacetime induced by closed strings in the presence of a 2-plectic form.
|
2306.05773
|
Jun-Bao Wu
|
Yunfeng Jiang, Jun-Bao Wu, Peihe Yang
|
Wilson-loop One-point Functions in ABJM Theory
|
v5, 33 pages, 3 figures, minor revision
|
JHEP 09(2023)047
|
10.1007/JHEP09(2023)047
|
USTC-ICTS/PCFT-23-11
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we initiate the study of correlation functions of a single
trace operator and a circular supersymmetric Wilson loop in ABJM theory. The
single trace operator is in the scalar sector and is an eigenstate of the
planar two-loop dilatation operator. The Wilson loop is in the fundamental
representation of the gauge group or a suitable (super-)group. Such correlation
functions at tree level can be written as an overlap of the Bethe state
corresponding to the single trace operator and a boundary state which
corresponds to the Wilson loop. There are various type of supersymmetric Wilson
loops in ABJM theory. We show that some of them correspond to tree-level
integrable boundary states while some are not. For the tree-level integrable
ones, we prove their integrability and obtain analytic formula for the
overlaps. For the non-integrable ones, we give examples of non-vanishing
overlaps for Bethe states which violate selection rules.
|
[
{
"created": "Fri, 9 Jun 2023 09:26:27 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2023 03:15:34 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Aug 2023 00:10:24 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Oct 2023 01:34:48 GMT",
"version": "v4"
},
{
"created": "Thu, 9 Nov 2023 06:54:18 GMT",
"version": "v5"
}
] |
2023-11-10
|
[
[
"Jiang",
"Yunfeng",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Yang",
"Peihe",
""
]
] |
In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fundamental representation of the gauge group or a suitable (super-)group. Such correlation functions at tree level can be written as an overlap of the Bethe state corresponding to the single trace operator and a boundary state which corresponds to the Wilson loop. There are various type of supersymmetric Wilson loops in ABJM theory. We show that some of them correspond to tree-level integrable boundary states while some are not. For the tree-level integrable ones, we prove their integrability and obtain analytic formula for the overlaps. For the non-integrable ones, we give examples of non-vanishing overlaps for Bethe states which violate selection rules.
|
0810.4459
|
Hristu Culetu
|
Hristu Culetu
|
The Milne spacetime and the hadronic Rindler horizon
|
7 pages, references added, no figures, version published in Int. J.
Mod. Phys. D19, (8 - 10), 1379 - 1384 (2010)
|
Int. J. Mod. Phys. D19, (8 - 10), 1379 - 1384 (2010)
|
10.1142/S0218271810017482
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A direct relation between the time dependent Milne geometry and the Rindler
spacetime is shown. Milne's metric corresponds to that one beyond Rindler's
event horizon (in the region $t \succ |x|)$). It was found that the shear
tensor from the dissipative term of the RHIC expanding fireball has the same
structure as that corresponding to the anisotropic fluid from the black hole
interior, even though the latter geometry is curved.
|
[
{
"created": "Fri, 24 Oct 2008 13:36:53 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2009 11:10:58 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jan 2012 12:15:11 GMT",
"version": "v3"
}
] |
2015-05-13
|
[
[
"Culetu",
"Hristu",
""
]
] |
A direct relation between the time dependent Milne geometry and the Rindler spacetime is shown. Milne's metric corresponds to that one beyond Rindler's event horizon (in the region $t \succ |x|)$). It was found that the shear tensor from the dissipative term of the RHIC expanding fireball has the same structure as that corresponding to the anisotropic fluid from the black hole interior, even though the latter geometry is curved.
|
2312.11640
|
Andrea Boido
|
Andrea Boido, Alice L\"uscher, James Sparks
|
Matrix models from black hole geometries
|
101 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Supersymmetric, magnetically charged (and possibly accelerating) black holes
in AdS$_4$ that uplift on Sasaki-Einstein manifolds $Y_7$ to M-theory have a
dual matrix model description. The matrix model in turn arises by localization
of the 3d $\mathcal{N}=2$ SCFTs, dual to the AdS$_4$ vacuum, on the black hole
horizon geometry, which is a Riemann surface $\Sigma_g$ (or a spindle
$\Sigma$). We identify the imaginary part $t$ of the continuously distributed
eigenvalues in the matrix model, and their density function $\rho(t)$, with
natural geometric quantities associated with the M-theory circle action
$U(1)_M$ on the near-horizon geometry AdS$_2\times Y_9$, the internal space
$Y_9$ being a $Y_7$ fibration over $\Sigma_g$ (or $\Sigma$). Moreover, we argue
that the points where $\rho'(t)$ is discontinuous match with the classical
action of BPS probe M2-branes wrapping AdS$_2$ and the M-theory circle. We
illustrate our findings with the ABJM and ADHM theories, whose duals have $Y_7
= S^7/\mathbb{Z}_k$, and some of their flavoured variants corresponding to
other toric $Y_7$.
|
[
{
"created": "Mon, 18 Dec 2023 19:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jan 2024 18:21:49 GMT",
"version": "v2"
}
] |
2024-01-17
|
[
[
"Boido",
"Andrea",
""
],
[
"Lüscher",
"Alice",
""
],
[
"Sparks",
"James",
""
]
] |
Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS$_4$ that uplift on Sasaki-Einstein manifolds $Y_7$ to M-theory have a dual matrix model description. The matrix model in turn arises by localization of the 3d $\mathcal{N}=2$ SCFTs, dual to the AdS$_4$ vacuum, on the black hole horizon geometry, which is a Riemann surface $\Sigma_g$ (or a spindle $\Sigma$). We identify the imaginary part $t$ of the continuously distributed eigenvalues in the matrix model, and their density function $\rho(t)$, with natural geometric quantities associated with the M-theory circle action $U(1)_M$ on the near-horizon geometry AdS$_2\times Y_9$, the internal space $Y_9$ being a $Y_7$ fibration over $\Sigma_g$ (or $\Sigma$). Moreover, we argue that the points where $\rho'(t)$ is discontinuous match with the classical action of BPS probe M2-branes wrapping AdS$_2$ and the M-theory circle. We illustrate our findings with the ABJM and ADHM theories, whose duals have $Y_7 = S^7/\mathbb{Z}_k$, and some of their flavoured variants corresponding to other toric $Y_7$.
|
1311.4081
|
Tiago Adorno
|
T. C. Adorno, D. M. Gitman and A. E. Shabad
|
Magnetic response to applied electrostatic field in external magnetic
field
| null |
Eur. Phys. J. C 74, 2837 (2014)
|
10.1140/epjc/s10052-014-2838-y
| null |
hep-th astro-ph.HE hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show, within QED and other possible nonlinear theories, that a static
charge localized in a finite domain of space becomes a magnetic dipole, if it
is placed in an external (constant and homogeneous) magnetic field in the
vacuum. The magnetic moment is quadratic in the charge, depends on its size and
is parallel to the external field, provided the charge distribution is at least
cylindrically symmetric. This magneto-electric effect is a nonlinear response
of the magnetized vacuum to an applied electrostatic field. Referring to a
simple example of a spherically-symmetric applied field, the nonlinearly
induced current and its magnetic field are found explicitly throughout the
space, the pattern of lines of force is depicted, both inside and outside the
charge, which resembles that of a standard solenoid of classical
magnetostatics.
|
[
{
"created": "Sat, 16 Nov 2013 17:28:04 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 2014 15:42:44 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Mar 2014 01:52:20 GMT",
"version": "v3"
}
] |
2014-04-25
|
[
[
"Adorno",
"T. C.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shabad",
"A. E.",
""
]
] |
We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The magnetic moment is quadratic in the charge, depends on its size and is parallel to the external field, provided the charge distribution is at least cylindrically symmetric. This magneto-electric effect is a nonlinear response of the magnetized vacuum to an applied electrostatic field. Referring to a simple example of a spherically-symmetric applied field, the nonlinearly induced current and its magnetic field are found explicitly throughout the space, the pattern of lines of force is depicted, both inside and outside the charge, which resembles that of a standard solenoid of classical magnetostatics.
|
1705.02744
|
Yu Nakayama
|
Yu Nakayama
|
Bootstrap experiments on higher dimensional CFTs
|
22 pages, 20 figures
| null |
10.1142/S0217751X18500367
|
RUP-17-8
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent programs on conformal bootstrap suggest an empirical relationship
between the existence of non-trivial conformal field theories and non-trivial
features such as a kink in the unitarity bound of conformal dimensions in the
conformal bootstrap equations. We report the existene of non-trivial kinks in
the unitarity bound of scalar operators in the adjoint representation of the
$SU(N)$ symmetric conformal field theories. They have interesting properties
(1) the kinks exist in $d<6$ dimensions (2) the location of kinks are when the
unitarity bound hits the space-time dimension $d$ (3) there exists a "conformal
window" of $N<N_*$, where $N_* \sim 15 $ in $d=4$ and $N_* \sim 20$ in $d=5$.
|
[
{
"created": "Mon, 8 May 2017 05:25:53 GMT",
"version": "v1"
}
] |
2018-04-04
|
[
[
"Nakayama",
"Yu",
""
]
] |
Recent programs on conformal bootstrap suggest an empirical relationship between the existence of non-trivial conformal field theories and non-trivial features such as a kink in the unitarity bound of conformal dimensions in the conformal bootstrap equations. We report the existene of non-trivial kinks in the unitarity bound of scalar operators in the adjoint representation of the $SU(N)$ symmetric conformal field theories. They have interesting properties (1) the kinks exist in $d<6$ dimensions (2) the location of kinks are when the unitarity bound hits the space-time dimension $d$ (3) there exists a "conformal window" of $N<N_*$, where $N_* \sim 15 $ in $d=4$ and $N_* \sim 20$ in $d=5$.
|
hep-th/0010008
|
Michael P. Fry
|
M.P.Fry
|
Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1
dimensions
|
Section IV has been amended
|
Phys.Rev.D62:125007,2000; Erratum-ibid.D72:109903,2005
|
10.1103/PhysRevD.62.125007 10.1103/PhysRevD.72.109903
| null |
hep-th
| null |
It is known that the one-loop effective action of ${QED}_2$ is a quadratic in
the field strength when the fermion mass is zero: all potential higher order
contributions beyond second order vanish. For nonzero fermion mass it is shown
that this behavior persists for a general class of fields for at least one
value of the fermion mass when the external field's flux $\Phi$ satisfies
$0<|e\Phi|<2\pi$. For ${QED}_4$ the mass-shell renormalized one-loop effective
action vanishes for at least one value of the fermion mass for a class of
smooth, square integrable background gauge fields provided a plausible
zero-mass limit exists.
|
[
{
"created": "Mon, 2 Oct 2000 10:41:04 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 2004 15:49:33 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 2005 15:23:20 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Fry",
"M. P.",
""
]
] |
It is known that the one-loop effective action of ${QED}_2$ is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that this behavior persists for a general class of fields for at least one value of the fermion mass when the external field's flux $\Phi$ satisfies $0<|e\Phi|<2\pi$. For ${QED}_4$ the mass-shell renormalized one-loop effective action vanishes for at least one value of the fermion mass for a class of smooth, square integrable background gauge fields provided a plausible zero-mass limit exists.
|
hep-th/9611006
|
Arnd Zapletal
|
H. Babujian, M. Karowski and A. Zapletal
|
U(N) Matrix Difference Equations and a Nested Bethe Ansatz
|
17 pages, LaTeX
| null |
10.1088/0305-4470/30/18/019
| null |
hep-th
| null |
A system of U(N)-matrix difference equations is solved by means of a nested
version of a generalized Bethe Ansatz. The highest weight property of the
solutions is proved and some examples of solutions are calculated explicitly.
(Part II of a series of articles on the generalized nested Bethe Ansatz and
difference equations.)
|
[
{
"created": "Fri, 1 Nov 1996 15:09:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Babujian",
"H.",
""
],
[
"Karowski",
"M.",
""
],
[
"Zapletal",
"A.",
""
]
] |
A system of U(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz. The highest weight property of the solutions is proved and some examples of solutions are calculated explicitly. (Part II of a series of articles on the generalized nested Bethe Ansatz and difference equations.)
|
hep-th/0302045
|
R. S. Ward
|
R. S. Ward
|
Topological Q-Solitons
|
12 pages, 2 figures
|
J.Math.Phys. 44 (2003) 3555-3561
|
10.1063/1.1584527
|
DCPT - 03/03
|
hep-th
| null |
Static topologically-nontrivial configurations in sigma-models, for spatial
dimension D \geq 2, are unstable. The question addressed here is whether such
sigma-model solitons can be stabilized by steady rotation in internal space;
that is, rotation in a global SO(2) symmetry. This is the mechanism which
stabilizes Q-balls (non-topological solitons). The conclusion is that the
Q-mechanism can stabilize topological solitons in D=2 spatial dimensions, but
not for D=3.
|
[
{
"created": "Fri, 7 Feb 2003 12:50:26 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ward",
"R. S.",
""
]
] |
Static topologically-nontrivial configurations in sigma-models, for spatial dimension D \geq 2, are unstable. The question addressed here is whether such sigma-model solitons can be stabilized by steady rotation in internal space; that is, rotation in a global SO(2) symmetry. This is the mechanism which stabilizes Q-balls (non-topological solitons). The conclusion is that the Q-mechanism can stabilize topological solitons in D=2 spatial dimensions, but not for D=3.
|
1204.4978
|
Mohammad R. Garousi
|
Komeil Babaei Velni, Mohammad R. Garousi
|
S-matrix elements from T-duality
|
33 pages, Latex file, the version appears in NPB
| null |
10.1016/j.nuclphysb.2013.01.001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it has been speculated that the S-matrix elements satisfy the Ward
identity associated with the T-duality. This indicates that a group of S-matrix
elements is invariant under the linear T-duality transformations on the
external states. If one evaluates one component of such T-dual multiplet, then
all other components may be found by the simple use of the linear T-duality.
The assumption that fields must be independent of the Killing coordinate,
however, may cause, in some cases, the T-dual multiplet not to be gauge
invariant. In those cases, the S-matrix elements contain more than one T-dual
multiplet which are intertwined by the gauge symmetry.
In this paper, we apply the T-dual Ward identity on the S-matrix element of
one RR $(p-3)$-form and two NSNS states on the world volume of a D$_p$-brane to
find its corresponding T-dual multiplet. In the case that the RR potential has
two transverse indices, the T-dual multiplet is gauge invariant, however, in
the case that it has one transverse index the multiplet is not gauge invariant.
We find a new T-dual multiplet in this case by imposing the gauge symmetry.
We show that the multiplets are reproduced by explicit calculation, and their
low energy contact terms at order $\alpha'^2$ are consistent with the existing
couplings in the literature.
|
[
{
"created": "Mon, 23 Apr 2012 06:48:31 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Sep 2012 06:01:45 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Jan 2013 06:10:27 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Velni",
"Komeil Babaei",
""
],
[
"Garousi",
"Mohammad R.",
""
]
] |
Recently it has been speculated that the S-matrix elements satisfy the Ward identity associated with the T-duality. This indicates that a group of S-matrix elements is invariant under the linear T-duality transformations on the external states. If one evaluates one component of such T-dual multiplet, then all other components may be found by the simple use of the linear T-duality. The assumption that fields must be independent of the Killing coordinate, however, may cause, in some cases, the T-dual multiplet not to be gauge invariant. In those cases, the S-matrix elements contain more than one T-dual multiplet which are intertwined by the gauge symmetry. In this paper, we apply the T-dual Ward identity on the S-matrix element of one RR $(p-3)$-form and two NSNS states on the world volume of a D$_p$-brane to find its corresponding T-dual multiplet. In the case that the RR potential has two transverse indices, the T-dual multiplet is gauge invariant, however, in the case that it has one transverse index the multiplet is not gauge invariant. We find a new T-dual multiplet in this case by imposing the gauge symmetry. We show that the multiplets are reproduced by explicit calculation, and their low energy contact terms at order $\alpha'^2$ are consistent with the existing couplings in the literature.
|
2210.04855
|
Qiaoyin Pan
|
Etera R. Livine, Qiaoyin Pan
|
3D Quantum Gravity from Holomorphic Blocks
|
42 pages + appendices, 18 figures
| null |
10.1103/PhysRevD.107.066001
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Three-dimensional gravity is a topological field theory, which can be
quantized as the Ponzano-Regge state-sum model built from the $\{3nj\}$-symbols
of the recoupling of the $\SU(2)$ representations, in which spins are
interpreted as quantized edge lengths in Planck units. It describes the flat
spacetime as gluing of three-dimensional cells with a fixed boundary metric
encoding length scale. In this paper, we revisit the Ponzano-Regge model
formulated in terms of spinors and rewrite the quantum geometry of 3D cells
with holomorphic recoupling symbols. These symbols, known as Schwinger's
generating function for the $\{6j\}$-symbols, are simply the squared inverse of
the partition function of the 2D Ising model living on the boundary of the 3D
cells. They can furthermore be interpreted, in their critical regime, as
scale-invariant basic elements of geometry. We show how to glue them together
into a discrete topological quantum field theory. This reformulation of the
path integral for 3D quantum gravity, with a rich pole structure of the
elementary building blocks, opens a new door toward the study of phase
transitions and continuum limits in 3D quantum gravity, and offers a new twist
on the construction of a duality between 3D quantum gravity and a 2d conformal
theory.
|
[
{
"created": "Mon, 10 Oct 2022 17:14:58 GMT",
"version": "v1"
}
] |
2023-03-15
|
[
[
"Livine",
"Etera R.",
""
],
[
"Pan",
"Qiaoyin",
""
]
] |
Three-dimensional gravity is a topological field theory, which can be quantized as the Ponzano-Regge state-sum model built from the $\{3nj\}$-symbols of the recoupling of the $\SU(2)$ representations, in which spins are interpreted as quantized edge lengths in Planck units. It describes the flat spacetime as gluing of three-dimensional cells with a fixed boundary metric encoding length scale. In this paper, we revisit the Ponzano-Regge model formulated in terms of spinors and rewrite the quantum geometry of 3D cells with holomorphic recoupling symbols. These symbols, known as Schwinger's generating function for the $\{6j\}$-symbols, are simply the squared inverse of the partition function of the 2D Ising model living on the boundary of the 3D cells. They can furthermore be interpreted, in their critical regime, as scale-invariant basic elements of geometry. We show how to glue them together into a discrete topological quantum field theory. This reformulation of the path integral for 3D quantum gravity, with a rich pole structure of the elementary building blocks, opens a new door toward the study of phase transitions and continuum limits in 3D quantum gravity, and offers a new twist on the construction of a duality between 3D quantum gravity and a 2d conformal theory.
|
0904.1951
|
Moataz Emam
|
Moataz H. Emam
|
Symplectic covariance of the N=2 hypermultiplets
|
To appear in Phys. Rev. D
|
Phys. Rev. D 79, 085017 (2009)
|
10.1103/PhysRevD.79.085017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main objective of this article is to recast the hypermultiplets sector of
five dimensional ungauged N=2 supergravity into a manifestly
symplectic-covariant form. We propose that this facilitates the construction
and analysis of hypermultiplet fields coupled to p-brane sources and discuss
examples.
|
[
{
"created": "Mon, 13 Apr 2009 14:13:10 GMT",
"version": "v1"
}
] |
2009-04-21
|
[
[
"Emam",
"Moataz H.",
""
]
] |
The main objective of this article is to recast the hypermultiplets sector of five dimensional ungauged N=2 supergravity into a manifestly symplectic-covariant form. We propose that this facilitates the construction and analysis of hypermultiplet fields coupled to p-brane sources and discuss examples.
|
hep-th/0505148
|
Kazuyuki Furuuchi
|
Kazuyuki Furuuchi (Harish-Chandra Res. Inst.)
|
From Free Fields to AdS -- Thermal Case
|
LaTeX, 1+31 pages, 8 figures v2: refs corrected v3: minor corrections
v4: to match with published version
|
Phys.Rev. D72 (2005) 066009
|
10.1103/PhysRevD.72.066009
| null |
hep-th
| null |
We analyze the reorganization of free field theory correlators to closed
string amplitudes investigated in hep-th/0308184 hep-th/0402063 hep-th/0409233
hep-th/0504229 in the case of Euclidean thermal field theory and study how the
dual bulk geometry is encoded on them. The expectation value of Polyakov loop,
which is an order parameter for confinement-deconfinement transition, is
directly reflected on the dual bulk geometry. The dual geometry of confined
phase is found to be AdS space periodically identified in Euclidean time
direction. The gluing of Schwinger parameters, which is a key step for the
reorganization of field theory correlators, works in the same way as in the
non-thermal case. In deconfined phase the gluing is made possible only by
taking the dual geometry correctly. The dual geometry for deconfined phase does
not have a non-contractible circle in the Euclidean time direction.
|
[
{
"created": "Tue, 17 May 2005 14:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2005 17:14:40 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jun 2005 03:37:43 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Oct 2005 03:29:01 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Furuuchi",
"Kazuyuki",
"",
"Harish-Chandra Res. Inst."
]
] |
We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in hep-th/0308184 hep-th/0402063 hep-th/0409233 hep-th/0504229 in the case of Euclidean thermal field theory and study how the dual bulk geometry is encoded on them. The expectation value of Polyakov loop, which is an order parameter for confinement-deconfinement transition, is directly reflected on the dual bulk geometry. The dual geometry of confined phase is found to be AdS space periodically identified in Euclidean time direction. The gluing of Schwinger parameters, which is a key step for the reorganization of field theory correlators, works in the same way as in the non-thermal case. In deconfined phase the gluing is made possible only by taking the dual geometry correctly. The dual geometry for deconfined phase does not have a non-contractible circle in the Euclidean time direction.
|
hep-th/0507032
|
Vladimir Dzhunushaliev
|
Vladimir Dzhunushaliev
|
Colorless operators in a non-associative quantum theory
|
final version, title and text are changed
| null |
10.1016/j.physleta.2006.02.058
|
IC/IR/2005/006
|
hep-th hep-ph math.RA quant-ph
| null |
The associators/antiassociators for the product of four non-associative
operators are deduced. By analogy with SU(3) gauge theory the notion of
colorless (white) operators is introduced. Some properties of white operators
are considered. It is hypothesized that white operators do not give any
contribution to corresponding associators/antiassociators. It is suggested that
the observables in a non-associative quantum theory correspond to the white
operators only.
|
[
{
"created": "Mon, 4 Jul 2005 12:33:20 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2005 07:34:16 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Dec 2005 09:42:29 GMT",
"version": "v3"
},
{
"created": "Sun, 11 Dec 2005 06:20:09 GMT",
"version": "v4"
},
{
"created": "Fri, 16 Dec 2005 03:53:18 GMT",
"version": "v5"
},
{
"created": "Sun, 26 Feb 2006 03:25:37 GMT",
"version": "v6"
}
] |
2009-11-11
|
[
[
"Dzhunushaliev",
"Vladimir",
""
]
] |
The associators/antiassociators for the product of four non-associative operators are deduced. By analogy with SU(3) gauge theory the notion of colorless (white) operators is introduced. Some properties of white operators are considered. It is hypothesized that white operators do not give any contribution to corresponding associators/antiassociators. It is suggested that the observables in a non-associative quantum theory correspond to the white operators only.
|
0807.4376
|
Joao P Rodrigues
|
Jo\~ao P. Rodrigues and Alia Zaidi
|
Non supersymmetric strong coupling background from the large N quantum
mechanics of two matrices coupled via a Yang-Mills interaction
|
Latex, 13 pages
|
Phys.Rev.D82:085030,2010
|
10.1103/PhysRevD.82.085030
|
WITS-CTP-039
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the planar large N non-supersymmetric background of the quantum
mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills
interaction, in terms of the density of eigenvalues of one of the matrices.
This background satisfies an implicit non linear integral equation, with a
perturbative small coupling expansion and a solvable large coupling solution,
which is obtained. The energy of system and the expectation value of several
correlators are obtained in this strong coupling limit. They are free of
infrared divergences.
|
[
{
"created": "Mon, 28 Jul 2008 08:39:23 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Rodrigues",
"João P.",
""
],
[
"Zaidi",
"Alia",
""
]
] |
We derive the planar large N non-supersymmetric background of the quantum mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills interaction, in terms of the density of eigenvalues of one of the matrices. This background satisfies an implicit non linear integral equation, with a perturbative small coupling expansion and a solvable large coupling solution, which is obtained. The energy of system and the expectation value of several correlators are obtained in this strong coupling limit. They are free of infrared divergences.
|
hep-th/9205038
| null |
Abhay Ashtekar
|
Recent Developments in Classical and Quantum Theories of Connections,
Including General Relativity
|
13 pages
| null | null | null |
hep-th
| null |
General relativity can be recast as a theory of connections by performing a
canonical transformation on its phase space. In this form, its (kinematical)
structure is closely related to that of Yang-Mills theory and topological field
theories. Over the past few years, a variety of techniques have been developed
to quantize all these theories non-perturbatively. These developments are
summarized with special emphasis on loop space methods and their applications
to quantum gravity.
|
[
{
"created": "Thu, 14 May 1992 04:40:00 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 1992 05:09:00 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Ashtekar",
"Abhay",
""
]
] |
General relativity can be recast as a theory of connections by performing a canonical transformation on its phase space. In this form, its (kinematical) structure is closely related to that of Yang-Mills theory and topological field theories. Over the past few years, a variety of techniques have been developed to quantize all these theories non-perturbatively. These developments are summarized with special emphasis on loop space methods and their applications to quantum gravity.
|
hep-th/0207195
|
Andrea Gregori
|
Andrea Gregori
|
Entropy, String Theory, and our World
|
36 pages, 1 figure, latex, misprints corrected, references added
| null | null |
HU-EP-02/31
|
hep-th hep-ph
| null |
We investigate the consequences of two assumptions for String (or M) Theory,
namely that: 1) all coordinates are compact and bound by the horizon of
observation, 2) the ``dynamics'' of compactification is determined by the
``second law of thermodynamics'', i.e. the principle of entropy. We discuss how
this leads to a phenomenologically consistent scenario for our world, both at
the elementary particle's and at the cosmological level, without any fine
tuning or further ``ad hoc'' constraint.
|
[
{
"created": "Mon, 22 Jul 2002 09:20:25 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jul 2002 12:21:14 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Sep 2002 14:01:25 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Gregori",
"Andrea",
""
]
] |
We investigate the consequences of two assumptions for String (or M) Theory, namely that: 1) all coordinates are compact and bound by the horizon of observation, 2) the ``dynamics'' of compactification is determined by the ``second law of thermodynamics'', i.e. the principle of entropy. We discuss how this leads to a phenomenologically consistent scenario for our world, both at the elementary particle's and at the cosmological level, without any fine tuning or further ``ad hoc'' constraint.
|
1611.04562
|
Jun Nian
|
Jun Nian
|
Note on Nonlinear Schr\"odinger Equation, KdV Equation and 2D
Topological Yang-Mills-Higgs Theory
|
20 pages, 1 figure; V2: typos corrected
|
Int. J. Mod. Phys. A34 (2019) 15, 1950074
|
10.1142/S0217751X1950074X
| null |
hep-th cond-mat.quant-gas math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss the relation between the (1+1)D nonlinear
Schr\"odinger equation and the KdV equation. By applying the boson/vortex
duality, we can map the classical nonlinear Schr\"odinger equation into the
classical KdV equation in the small coupling limit, which corresponds to the UV
regime of the theory. At quantum level, the two theories satisfy the Bethe
Ansatz equations of the spin-$\frac{1}{2}$ XXX chain and the XXZ chain in the
continuum limit respectively. Combining these relations with the dualities
discussed previously in the literature, we propose a duality web in the UV
regime among the nonlinear Schr\"odinger equation, the KdV equation and the 2D
$\mathcal{N}=(2,2)^*$ topological Yang-Mills-Higgs theory.
|
[
{
"created": "Mon, 14 Nov 2016 20:39:27 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 03:30:09 GMT",
"version": "v2"
}
] |
2021-07-02
|
[
[
"Nian",
"Jun",
""
]
] |
In this paper we discuss the relation between the (1+1)D nonlinear Schr\"odinger equation and the KdV equation. By applying the boson/vortex duality, we can map the classical nonlinear Schr\"odinger equation into the classical KdV equation in the small coupling limit, which corresponds to the UV regime of the theory. At quantum level, the two theories satisfy the Bethe Ansatz equations of the spin-$\frac{1}{2}$ XXX chain and the XXZ chain in the continuum limit respectively. Combining these relations with the dualities discussed previously in the literature, we propose a duality web in the UV regime among the nonlinear Schr\"odinger equation, the KdV equation and the 2D $\mathcal{N}=(2,2)^*$ topological Yang-Mills-Higgs theory.
|
hep-th/9608133
|
Dr I. Kondo
|
Kei-Ichi Kondo (Chiba/Oxford University)
|
An Exact Solution of Gauged Thirring Model in Two Dimensions
|
12 pages, latex, no figures
| null | null |
CHIBA-EP-95/OUTP-96-31P
|
hep-th
| null |
In two space-time dimensions, we write down the exact and closed
Schwinger-Dyson equation for the gauged Thirring model which has been proposed
recently by the author. The gauged Thirring model is a natural gauge-invariant
extension of the Thirring model and reduces to the Schwinger model (in the
Abelian case) in the strong four-fermion coupling limit. The exact SD equation
is derived by making use of the transverse Ward-Takahashi identity as well as
the usual (longitudinal) Ward-Takahashi identity. Moreover the exact solution
of the SD equation for the fermion propagator is obtained together with the
vertex function in the Abelian gauged case. Finally we discuss the dynamical
fermion mass generation based on the solution of the SD equation.
|
[
{
"created": "Tue, 20 Aug 1996 10:02:31 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 1996 00:37:34 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Kondo",
"Kei-Ichi",
"",
"Chiba/Oxford University"
]
] |
In two space-time dimensions, we write down the exact and closed Schwinger-Dyson equation for the gauged Thirring model which has been proposed recently by the author. The gauged Thirring model is a natural gauge-invariant extension of the Thirring model and reduces to the Schwinger model (in the Abelian case) in the strong four-fermion coupling limit. The exact SD equation is derived by making use of the transverse Ward-Takahashi identity as well as the usual (longitudinal) Ward-Takahashi identity. Moreover the exact solution of the SD equation for the fermion propagator is obtained together with the vertex function in the Abelian gauged case. Finally we discuss the dynamical fermion mass generation based on the solution of the SD equation.
|
1407.5688
|
Dudas Emilian A
|
Emilian Dudas
|
Three-form multiplet and Inflation
|
15 pages, references added
| null |
10.1007/JHEP12(2014)014
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Most successful models of inflation in supergravity have a shift symmetry for
the inflaton and contain a stabilizer field coupled to the inflaton in a
particular way. We argue that the natural interpretation of the stabilizer,
from the viewpoint of the shift symmetry, is a three-form multiplet. Its
coupling to the inflaton is uniquely determined by the shift symmetry and the
invariance under three-form gauge transformations and has a natural string
theory interpretation.
|
[
{
"created": "Mon, 21 Jul 2014 23:09:01 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Aug 2014 08:47:05 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Dudas",
"Emilian",
""
]
] |
Most successful models of inflation in supergravity have a shift symmetry for the inflaton and contain a stabilizer field coupled to the inflaton in a particular way. We argue that the natural interpretation of the stabilizer, from the viewpoint of the shift symmetry, is a three-form multiplet. Its coupling to the inflaton is uniquely determined by the shift symmetry and the invariance under three-form gauge transformations and has a natural string theory interpretation.
|
hep-th/9904057
|
Mitsuo Abe
|
Mitsuo Abe and Noboru Nakanishi
|
Perturbative or Path-Integral Approach versus Operator-Formalism
Approach
|
16 pages, PTPTeX
|
Prog.Theor.Phys. 102 (1999) 1187-1200
|
10.1143/PTP.102.1187
|
RIMS-1228
|
hep-th
| null |
In the conformal-gauge two-dimensional quantum gravity, the solution obtained
by the perturbative or path-integral approach is compared with the one obtained
by the operator-formalism approach. Treatments of the anomaly problem in both
approaches are different. This difference is found to be essentially caused by
the fact that the perturbative or path-integral approach is based on the
T*-product (covariantized T-product), which generally violates field equations.
Indeed, this fact induces some extra one-loop Feynman diagrams, which would not
exist unless a nonzero contribution arose from a zero field. Some demerits of
the path-integral approach are explicitly demonstrated.
|
[
{
"created": "Thu, 8 Apr 1999 08:26:35 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Abe",
"Mitsuo",
""
],
[
"Nakanishi",
"Noboru",
""
]
] |
In the conformal-gauge two-dimensional quantum gravity, the solution obtained by the perturbative or path-integral approach is compared with the one obtained by the operator-formalism approach. Treatments of the anomaly problem in both approaches are different. This difference is found to be essentially caused by the fact that the perturbative or path-integral approach is based on the T*-product (covariantized T-product), which generally violates field equations. Indeed, this fact induces some extra one-loop Feynman diagrams, which would not exist unless a nonzero contribution arose from a zero field. Some demerits of the path-integral approach are explicitly demonstrated.
|
hep-th/0403055
|
Gherardo Piacitelli
|
Gherardo Piacitelli
|
Non Local Theories: New Rules for Old Diagrams
|
LaTeX, 14 pages, 1 figure. Uses hyperref. Symmetry factors added;
minor changes in the exposition
|
JHEP 0408 (2004) 031
|
10.1088/1126-6708/2004/08/031
| null |
hep-th
| null |
We show that a general variant of the Wick theorems can be used to reduce the
time ordered products in the Gell-Mann & Low formula for a certain class on non
local quantum field theories, including the case where the interaction
Lagrangian is defined in terms of twisted products.
The only necessary modification is the replacement of the
Stueckelberg-Feynman propagator by the general propagator (the ``contractor''
of Denk and Schweda)
D(y-y';tau-tau')= - i
(Delta_+(y-y')theta(tau-tau')+Delta_+(y'-y)theta(tau'-tau)), where the
violations of locality and causality are represented by the dependence of
tau,tau' on other points, besides those involved in the contraction. This leads
naturally to a diagrammatic expansion of the Gell-Mann & Low formula, in terms
of the same diagrams as in the local case, the only necessary modification
concerning the Feynman rules. The ordinary local theory is easily recovered as
a special case, and there is a one-to-one correspondence between the local and
non local contributions corresponding to the same diagrams, which is preserved
while performing the large scale limit of the theory.
|
[
{
"created": "Thu, 4 Mar 2004 20:32:56 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Mar 2004 13:33:16 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Mar 2004 18:57:32 GMT",
"version": "v3"
},
{
"created": "Sat, 28 Aug 2004 14:41:23 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Piacitelli",
"Gherardo",
""
]
] |
We show that a general variant of the Wick theorems can be used to reduce the time ordered products in the Gell-Mann & Low formula for a certain class on non local quantum field theories, including the case where the interaction Lagrangian is defined in terms of twisted products. The only necessary modification is the replacement of the Stueckelberg-Feynman propagator by the general propagator (the ``contractor'' of Denk and Schweda) D(y-y';tau-tau')= - i (Delta_+(y-y')theta(tau-tau')+Delta_+(y'-y)theta(tau'-tau)), where the violations of locality and causality are represented by the dependence of tau,tau' on other points, besides those involved in the contraction. This leads naturally to a diagrammatic expansion of the Gell-Mann & Low formula, in terms of the same diagrams as in the local case, the only necessary modification concerning the Feynman rules. The ordinary local theory is easily recovered as a special case, and there is a one-to-one correspondence between the local and non local contributions corresponding to the same diagrams, which is preserved while performing the large scale limit of the theory.
|
hep-th/0112211
|
Rainald Flume
|
R. Flume, R. Poghossian and H. Storch
|
The Seiberg-Witten prepotential and the Euler class of the reduced
moduli space of instantons
|
LaTex, 15 pages
|
Mod.Phys.Lett. A17 (2002) 327-340
|
10.1142/S0217732302006588
| null |
hep-th
| null |
The n-instanton contribution to the Seiberg-Witten prepotential of N=2
supersymmetric d=4 Yang Mills theory is represented as the integral of the
exponential of an equivariantly exact form. Integrating out an overall scale
and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed
two form. This two form is, formally, a representative of the Euler class of
the Instanton moduli space viewed as a principal U(1) bundle, because its
pullback under bundel projection is the exterior derivative of an angular
one-form.
|
[
{
"created": "Fri, 21 Dec 2001 14:03:37 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Flume",
"R.",
""
],
[
"Poghossian",
"R.",
""
],
[
"Storch",
"H.",
""
]
] |
The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.
|
hep-th/0206151
|
Hong Lu
|
M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope
|
Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
|
Latex, 41 pages, 2 figures
|
Class.Quant.Grav.20:4239-4268,2003
|
10.1088/0264-9381/20/19/308
| null |
hep-th
| null |
We construct explicit cohomogeneity two metrics of G_2 holonomy, which are
foliated by twistor spaces. The twistor spaces are S^2 bundles over
four-dimensional Bianchi IX Einstein metrics with self-dual (or anti-self-dual)
Weyl tensor. Generically the 4-metric is of triaxial Bianchi IX type, with
SU(2) isometry. We derive the first-order differential equations for the metric
coefficients, and obtain the corresponding superpotential governing the
equations of motion, in the general triaxial Bianchi IX case. In general our
metrics have singularities, which are of orbifold or cosmic-string type. For
the special case of biaxial Bianchi IX metrics, we give a complete analysis
their local and global properties, and the singularities. In the triaxial case
we find that a system of equations written down by Tod and Hitchin satisfies
our first-order equations. The converse is not always true. A discussion is
given of the possible implications of the singularity structure of these spaces
for M-theory dynamics.
|
[
{
"created": "Mon, 17 Jun 2002 18:06:54 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We construct explicit cohomogeneity two metrics of G_2 holonomy, which are foliated by twistor spaces. The twistor spaces are S^2 bundles over four-dimensional Bianchi IX Einstein metrics with self-dual (or anti-self-dual) Weyl tensor. Generically the 4-metric is of triaxial Bianchi IX type, with SU(2) isometry. We derive the first-order differential equations for the metric coefficients, and obtain the corresponding superpotential governing the equations of motion, in the general triaxial Bianchi IX case. In general our metrics have singularities, which are of orbifold or cosmic-string type. For the special case of biaxial Bianchi IX metrics, we give a complete analysis their local and global properties, and the singularities. In the triaxial case we find that a system of equations written down by Tod and Hitchin satisfies our first-order equations. The converse is not always true. A discussion is given of the possible implications of the singularity structure of these spaces for M-theory dynamics.
|
1602.04673
|
M Movshev V.
|
M.V. Movshev
|
A formula for the partition function of the beta-gamma system on the
cone pure spinors
|
11 pages
| null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we propose a closed formula for the partition function $Z(t,q)$
of the $\beta\gamma$ system on the cone of pure spinors. We give the answer in
terms of theta functions, $q$-Pochhammer symbols and Eisenstein series.
|
[
{
"created": "Mon, 15 Feb 2016 13:50:38 GMT",
"version": "v1"
}
] |
2016-02-16
|
[
[
"Movshev",
"M. V.",
""
]
] |
In this note, we propose a closed formula for the partition function $Z(t,q)$ of the $\beta\gamma$ system on the cone of pure spinors. We give the answer in terms of theta functions, $q$-Pochhammer symbols and Eisenstein series.
|
0705.2469
|
Rong-Gen Cai
|
Rong-Gen Cai, Sang Pyo Kim, Bin Wang
|
Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet
Gravity and Dilaton Gravity
|
Latex, 17 pages without figures
|
Phys.Rev.D76:024011,2007
|
10.1103/PhysRevD.76.024011
| null |
hep-th gr-qc
| null |
It is well-known that there exists a Hawking-Page phase transition between a
spherical AdS black hole and a thermal AdS space. The phase transition does not
happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space
and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page
phase transition occurs between a Ricci flat AdS black hole and an AdS soliton
if at least one of horizon coordinates for the Ricci flat black hole is
compact. We show a similar phase transition betwen the Ricci flat black holes
and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity
with a Liouville-type potential including the gauged supergravity coming from
the spherical reduction of Dp-branes in type II supergravity. In contrast to
Einstein gravity, we find that the high temperature phase can be dominated
either by black holes or deformed AdS solitons depending on parameters.
|
[
{
"created": "Thu, 17 May 2007 02:51:33 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cai",
"Rong-Gen",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Wang",
"Bin",
""
]
] |
It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page phase transition occurs between a Ricci flat AdS black hole and an AdS soliton if at least one of horizon coordinates for the Ricci flat black hole is compact. We show a similar phase transition betwen the Ricci flat black holes and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity with a Liouville-type potential including the gauged supergravity coming from the spherical reduction of Dp-branes in type II supergravity. In contrast to Einstein gravity, we find that the high temperature phase can be dominated either by black holes or deformed AdS solitons depending on parameters.
|
1002.4408
|
Benjamin Shlaer
|
Jose J. Blanco-Pillado and Benjamin Shlaer
|
Bubbles of Nothing in Flux Compactifications
|
16 pages, 5 figures References added
|
Phys.Rev.D82:086015,2010
|
10.1103/PhysRevD.82.086015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a simple AdS_4 x S^1 flux compactification stabilized by a
complex scalar field winding the extra dimension and demonstrate an instability
via nucleation of a bubble of nothing. This occurs when the Kaluza -- Klein
dimension degenerates to a point, defining the bubble surface. Because the
extra dimension is stabilized by a flux, the bubble surface must be charged, in
this case under the axionic part of the complex scalar. This smooth geometry
can be seen as a de Sitter topological defect with asymptotic behavior
identical to the pure compactification. We discuss how a similar construction
can be implemented in more general Freund -- Rubin compactifications.
|
[
{
"created": "Tue, 23 Feb 2010 21:29:13 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 2010 15:53:17 GMT",
"version": "v2"
}
] |
2010-11-11
|
[
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Shlaer",
"Benjamin",
""
]
] |
We construct a simple AdS_4 x S^1 flux compactification stabilized by a complex scalar field winding the extra dimension and demonstrate an instability via nucleation of a bubble of nothing. This occurs when the Kaluza -- Klein dimension degenerates to a point, defining the bubble surface. Because the extra dimension is stabilized by a flux, the bubble surface must be charged, in this case under the axionic part of the complex scalar. This smooth geometry can be seen as a de Sitter topological defect with asymptotic behavior identical to the pure compactification. We discuss how a similar construction can be implemented in more general Freund -- Rubin compactifications.
|
hep-th/0105208
|
Gabriele Honecker
|
Stefan Forste, Gabriele Honecker and Ralph Schreyer
|
Orientifolds with branes at angles
|
24 pages, 5 figures, references added
|
JHEP 0106:004,2001
|
10.1088/1126-6708/2001/06/004
| null |
hep-th
| null |
We present supersymmetry breaking four dimensional orientifolds of type IIA
strings. The compact space is a torus times a four dimensional orbifold. The
orientifold group reflects one direction in each torus. RR tadpoles are
cancelled by D6-branes intersecting at angles in the torus and in the orbifold.
The angles are chosen such that supersymmetry is broken. The resulting four
dimensional theories contain chiral fermions. The tadpole cancellation
conditions imply that there are no non-abelian gauge anomalies. The models also
contain anomaly-free U(1) factors.
|
[
{
"created": "Mon, 21 May 2001 19:33:48 GMT",
"version": "v1"
},
{
"created": "Wed, 30 May 2001 11:54:40 GMT",
"version": "v2"
}
] |
2010-05-28
|
[
[
"Forste",
"Stefan",
""
],
[
"Honecker",
"Gabriele",
""
],
[
"Schreyer",
"Ralph",
""
]
] |
We present supersymmetry breaking four dimensional orientifolds of type IIA strings. The compact space is a torus times a four dimensional orbifold. The orientifold group reflects one direction in each torus. RR tadpoles are cancelled by D6-branes intersecting at angles in the torus and in the orbifold. The angles are chosen such that supersymmetry is broken. The resulting four dimensional theories contain chiral fermions. The tadpole cancellation conditions imply that there are no non-abelian gauge anomalies. The models also contain anomaly-free U(1) factors.
|
hep-th/9306128
|
Gleb Arutyunov
|
G. E. Arutyunov
|
Representations of the compact quantum group $SU_q(N)$ and geometrical
quantization
|
13 pages
|
Theor.Math.Phys. 100 (1995) 921-927; Teor.Mat.Fiz. 100N2 (1994)
163-172
|
10.1007/BF01016754
|
SMI-6-93
|
hep-th math.QA
| null |
The method of geometrical quantization of symplectic manifolds is applied to
constructing infinite dimensional irreducible unitary representations of the
algebra of functions on the compact quantum group $SU_q(2)$. A formulation of
the method for the general case $SU_q(n)$ is suggested. (This work is the
English version of the article submitted for publication in Algebra Analiz.)
|
[
{
"created": "Thu, 17 Jun 1993 09:42:16 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Arutyunov",
"G. E.",
""
]
] |
The method of geometrical quantization of symplectic manifolds is applied to constructing infinite dimensional irreducible unitary representations of the algebra of functions on the compact quantum group $SU_q(2)$. A formulation of the method for the general case $SU_q(n)$ is suggested. (This work is the English version of the article submitted for publication in Algebra Analiz.)
|
hep-th/0611027
|
Stijn Nevens
|
Stijn Nevens
|
Higher Derivative Corrections to the Abelian Born-Infeld Action using
Superspace Methods
|
Ph.D. Thesis, Vrije Universiteit Brussel, September 2006 (125 pages,
numerous figures)
| null | null | null |
hep-th
| null |
In this thesis we study two-dimensional supersymmetric non-linear
sigma-models with boundaries. We derive the most general family of boundary
conditions in the non-supersymmetric case. Next we show that no further
conditions arise when passing to the N = 1 model and we present a manifest N =
1 off-shell formulation. Subsequently, we determine under which conditions a
second supersymmetry exists. Finally we recast some of our results in N = 2
superspace. Leaning on these results we then calculate the beta-functions
through three loops for an open string sigma-model in the presence of U(1)
background. Requiring them to vanish is then reinterpreted as the string
equations of motion for the background. Upon integration this yields the low
energy effective action. Doing the calculation in N = 2 boundary superspace
significantly simplifies the calculation. The one loop contribution gives the
effective action to all orders in alpha' in the limit of a constant
fieldstrength. The result is the well known Born-Infeld action. The absence of
a two loop contribution to the beta-function shows the absence of two
derivative terms in the action. Finally the three loop contribution gives the
four derivative terms in the effective action to all orders in alpha'. Modulo a
field redefinition we find complete agreement with the proposal made in the
literature. By doing the calculation in N = 2 superspace, we get a nice
geometric characterization of UV finiteness of the non-linear sigma-model: UV
finiteness is guaranteed provided that the background is a deformed stable
holomorphic bundle.
|
[
{
"created": "Thu, 2 Nov 2006 12:49:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nevens",
"Stijn",
""
]
] |
In this thesis we study two-dimensional supersymmetric non-linear sigma-models with boundaries. We derive the most general family of boundary conditions in the non-supersymmetric case. Next we show that no further conditions arise when passing to the N = 1 model and we present a manifest N = 1 off-shell formulation. Subsequently, we determine under which conditions a second supersymmetry exists. Finally we recast some of our results in N = 2 superspace. Leaning on these results we then calculate the beta-functions through three loops for an open string sigma-model in the presence of U(1) background. Requiring them to vanish is then reinterpreted as the string equations of motion for the background. Upon integration this yields the low energy effective action. Doing the calculation in N = 2 boundary superspace significantly simplifies the calculation. The one loop contribution gives the effective action to all orders in alpha' in the limit of a constant fieldstrength. The result is the well known Born-Infeld action. The absence of a two loop contribution to the beta-function shows the absence of two derivative terms in the action. Finally the three loop contribution gives the four derivative terms in the effective action to all orders in alpha'. Modulo a field redefinition we find complete agreement with the proposal made in the literature. By doing the calculation in N = 2 superspace, we get a nice geometric characterization of UV finiteness of the non-linear sigma-model: UV finiteness is guaranteed provided that the background is a deformed stable holomorphic bundle.
|
0712.2845
|
Timo Weigand
|
Mirjam Cvetic, Robert Richter and Timo Weigand
|
D-brane instanton effects in Type II orientifolds: local and global
issues
|
14 pages, 7 tables, 2 figures; Contribution to the proceedings of the
BW2007 Workshop "Challenges Beyond the Standard Model", September 2-9, 2007,
Kladovo, Serbia
| null | null | null |
hep-th
| null |
We review how D-brane instantons can generate open string couplings of
stringy hierarchy in the superpotential which violate global abelian symmetries
and are therefore perturbatively forbidden. We discuss the main ingredients of
this mechanism, focussing for concreteness on Euclidean $D2$-branes in Type IIA
orientifold compactifications. Special emphasis is put on a careful analysis of
instanton zero modes and a classification of situations leading to
superpotential or higher fermionic F-terms. This includes the discussion of
chiral and non-chiral instanton recombination, viewed as a multi-instanton
effect. As phenomenological applications we discuss the generation of
perturbatively forbidden Yukawa couplings in SU(5) GUT models and Majorana
masses for right-handed neutrinos. Finally we analyse the mirror dual
description of $D1$-instantons in Type I compactifications with $D9$-branes and
stable holomorphic bundles. We present globally defined semi-realistic string
vacua on an elliptically fibered Calabi-Yau realising the non-perturbative
generation of Majorana masses.
|
[
{
"created": "Tue, 18 Dec 2007 17:38:56 GMT",
"version": "v1"
}
] |
2007-12-19
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Richter",
"Robert",
""
],
[
"Weigand",
"Timo",
""
]
] |
We review how D-brane instantons can generate open string couplings of stringy hierarchy in the superpotential which violate global abelian symmetries and are therefore perturbatively forbidden. We discuss the main ingredients of this mechanism, focussing for concreteness on Euclidean $D2$-branes in Type IIA orientifold compactifications. Special emphasis is put on a careful analysis of instanton zero modes and a classification of situations leading to superpotential or higher fermionic F-terms. This includes the discussion of chiral and non-chiral instanton recombination, viewed as a multi-instanton effect. As phenomenological applications we discuss the generation of perturbatively forbidden Yukawa couplings in SU(5) GUT models and Majorana masses for right-handed neutrinos. Finally we analyse the mirror dual description of $D1$-instantons in Type I compactifications with $D9$-branes and stable holomorphic bundles. We present globally defined semi-realistic string vacua on an elliptically fibered Calabi-Yau realising the non-perturbative generation of Majorana masses.
|
1607.04998
|
Alfonso V. Ramallo
|
Eduardo Conde, Hai Lin, Jose Manuel Penin, Alfonso V. Ramallo and
Dimitrios Zoakos
|
D3-D5 theories with unquenched flavors
|
29 pages, 1 figure; v2: references added
| null |
10.1016/j.nuclphysb.2016.11.016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the string duals of the defect theories generated when N_f
flavor D5-branes intersect N_c color D3-branes along a 2+1 dimensional
subspace. We work in the Veneziano limit in which N_c and N_f are large and
N_f/N_c is fixed. By smearing the D5-branes, we find supergravity solutions
that take into account the backreaction of the flavor branes and preserve two
supercharges. When the flavors are massless the resulting metric displays an
anisotropic Lifshitz-like scale invariance. The case of massive quarks is also
considered.
|
[
{
"created": "Mon, 18 Jul 2016 10:06:41 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2016 14:30:12 GMT",
"version": "v2"
}
] |
2017-01-04
|
[
[
"Conde",
"Eduardo",
""
],
[
"Lin",
"Hai",
""
],
[
"Penin",
"Jose Manuel",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
We construct the string duals of the defect theories generated when N_f flavor D5-branes intersect N_c color D3-branes along a 2+1 dimensional subspace. We work in the Veneziano limit in which N_c and N_f are large and N_f/N_c is fixed. By smearing the D5-branes, we find supergravity solutions that take into account the backreaction of the flavor branes and preserve two supercharges. When the flavors are massless the resulting metric displays an anisotropic Lifshitz-like scale invariance. The case of massive quarks is also considered.
|
1803.09753
|
Monica Guica
|
Adam Bzowski and Monica Guica
|
The holographic interpretation of $J \bar T$-deformed CFTs
|
v2: added discussion of the chiral anomaly and one appendix,
affiliation and grant information updated
| null |
10.1007/JHEP01(2019)198
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a non-local yet possibly UV-complete quantum field theory has been
constructed by deforming a two-dimensional CFT by the composite operator $J
\bar T$, where $J$ is a chiral $U(1)$ current and $\bar T$ is a component of
the stress tensor. Assuming the original CFT was a holographic CFT, we work out
the holographic dual of its $J \bar T$ deformation. We find that the dual
spacetime is still AdS$_3$, but with modified boundary conditions that mix the
metric and the Chern-Simons gauge field dual to the $U(1)$ current. We show
that when the coefficient of the chiral anomaly for $J$ vanishes, the energy
and thermodynamics of black holes obeying these modified boundary conditions
precisely reproduce the previously derived field theory spectrum and
thermodynamics. Our proposed holographic dictionary can also reproduce the
field-theoretical spectrum in presence of the chiral anomaly, upon a certain
assumption that we justify. The asymptotic symmetry group associated to these
boundary conditions consists of two copies of the Virasoro and one copy of the
$U(1)$ Ka\v{c}-Moody algebra, just as before the deformation; the only effect
of the latter is to modify the spacetime dependence of the right-moving
Virasoro generators, whose action becomes state-dependent and effectively
non-local.
|
[
{
"created": "Mon, 26 Mar 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2019 15:45:50 GMT",
"version": "v2"
}
] |
2019-02-20
|
[
[
"Bzowski",
"Adam",
""
],
[
"Guica",
"Monica",
""
]
] |
Recently, a non-local yet possibly UV-complete quantum field theory has been constructed by deforming a two-dimensional CFT by the composite operator $J \bar T$, where $J$ is a chiral $U(1)$ current and $\bar T$ is a component of the stress tensor. Assuming the original CFT was a holographic CFT, we work out the holographic dual of its $J \bar T$ deformation. We find that the dual spacetime is still AdS$_3$, but with modified boundary conditions that mix the metric and the Chern-Simons gauge field dual to the $U(1)$ current. We show that when the coefficient of the chiral anomaly for $J$ vanishes, the energy and thermodynamics of black holes obeying these modified boundary conditions precisely reproduce the previously derived field theory spectrum and thermodynamics. Our proposed holographic dictionary can also reproduce the field-theoretical spectrum in presence of the chiral anomaly, upon a certain assumption that we justify. The asymptotic symmetry group associated to these boundary conditions consists of two copies of the Virasoro and one copy of the $U(1)$ Ka\v{c}-Moody algebra, just as before the deformation; the only effect of the latter is to modify the spacetime dependence of the right-moving Virasoro generators, whose action becomes state-dependent and effectively non-local.
|
2109.03271
|
Boris Murygin
|
A. A. Kirillov, B. S. Murygin, V. V. Nikulin
|
Cosmological Formation of (2+1)-Dimensional Soliton Structures in Models
Possessing Potentials with Local Peaks
| null |
Physics 3(2021) 563-568
|
10.3390/physics3030035
| null |
hep-th astro-ph.CO nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Production of domain walls and string-like solitons in the model with two
real scalar fields and potential with at least one saddle point and a local
maximum is considered. The model is regarded as 2-dimensional spatial slices of
3-dimensional entire structures. It is shown that, in the early Universe, both
types of solitons may appear. In addition, the qualitative estimate of the
domain walls and strings formation probabilities is presented. It is found that
the probability of the formation of string-like solitons is suppressed compared
to that of domain walls.
|
[
{
"created": "Tue, 7 Sep 2021 18:17:46 GMT",
"version": "v1"
}
] |
2021-09-09
|
[
[
"Kirillov",
"A. A.",
""
],
[
"Murygin",
"B. S.",
""
],
[
"Nikulin",
"V. V.",
""
]
] |
Production of domain walls and string-like solitons in the model with two real scalar fields and potential with at least one saddle point and a local maximum is considered. The model is regarded as 2-dimensional spatial slices of 3-dimensional entire structures. It is shown that, in the early Universe, both types of solitons may appear. In addition, the qualitative estimate of the domain walls and strings formation probabilities is presented. It is found that the probability of the formation of string-like solitons is suppressed compared to that of domain walls.
|
1011.1456
|
Jens Braun
|
Jens Braun, Holger Gies, Daniel D. Scherer
|
Asymptotic safety: a simple example
|
15 pages, 9 figures, 4 tables
|
Phys.Rev.D83:085012,2011
|
10.1103/PhysRevD.83.085012
| null |
hep-th cond-mat.str-el gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the Gross-Neveu model in 2<d<4 as a simple fermionic example for
Weinberg's asymptotic safety scenario: despite being perturbatively
nonrenormalizable, the model defines an interacting quantum field theory being
valid to arbitrarily high momentum scales owing to the existence of a
non-Gaussian fixed point. Using the functional renormalization group, we study
the UV behavior of the model in both the purely fermionic as well as a
partially bosonized language. We show that asymptotic safety is realized at
non-Gaussian fixed points in both formulations, the universal critical
exponents of which we determine quantitatively. The partially bosonized
formulation allows to make contact to the large-Nf expansion where the model is
known to be renormalizable to all-orders. In this limit, the fixed-point action
as well as all universal critical exponents can be computed analytically. As
asymptotic safety has become an important scenario for quantizing gravity, our
description of a well-understood model is meant to provide for an easily
accessible and controllable example of modern nonperturbative quantum field
theory.
|
[
{
"created": "Fri, 5 Nov 2010 16:47:04 GMT",
"version": "v1"
}
] |
2011-04-22
|
[
[
"Braun",
"Jens",
""
],
[
"Gies",
"Holger",
""
],
[
"Scherer",
"Daniel D.",
""
]
] |
We use the Gross-Neveu model in 2<d<4 as a simple fermionic example for Weinberg's asymptotic safety scenario: despite being perturbatively nonrenormalizable, the model defines an interacting quantum field theory being valid to arbitrarily high momentum scales owing to the existence of a non-Gaussian fixed point. Using the functional renormalization group, we study the UV behavior of the model in both the purely fermionic as well as a partially bosonized language. We show that asymptotic safety is realized at non-Gaussian fixed points in both formulations, the universal critical exponents of which we determine quantitatively. The partially bosonized formulation allows to make contact to the large-Nf expansion where the model is known to be renormalizable to all-orders. In this limit, the fixed-point action as well as all universal critical exponents can be computed analytically. As asymptotic safety has become an important scenario for quantizing gravity, our description of a well-understood model is meant to provide for an easily accessible and controllable example of modern nonperturbative quantum field theory.
|
1903.02760
|
Yan-Gang Miao
|
Zhang-Cheng Liu, Yan-Gang Miao
|
Noncommutative corrections to the minimal surface areas of the pure AdS
spacetime and Schwarzschild-AdS black hole
|
v1: 10 pages, no figures; v2: 11 pages, minor clarifications and
references added; v3: minor revisons and references added; v4: major
revisions made and references added, final version to appear in Universe
|
Universe 8 (2022) 524
|
10.3390/universe8100524
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the perturbation expansion, we compute the noncommutative
corrections to the minimal surface areas of the pure AdS spacetime and
Schwarzschild-AdS black hole, where the noncommutative background is suitably
constructed in terms of the Poincar\'e coordinate system. In particular, we
find a reasonable tetrad with subtlety, which not only matches the metrics of
the pure AdS spacetime and Schwarzschild-AdS black hole in the commutative
case, but also makes the corrections real rather than complex in the
noncommutative case. For the pure AdS spacetime, the nocommutative effect is
only a logarithmic term, while for the Schwarzschild-AdS black hole, it
contains a logarithmic contribution plus both a mass term and a noncommutative
parameter related term. Furthermore, we show that the holographic entanglement
entropy with noncommutativity obeys a relation which is similar to the first
law of thermodynamics in the pure AdS spacetime.
|
[
{
"created": "Thu, 7 Mar 2019 07:44:36 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 2019 09:13:10 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jun 2019 09:40:58 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Oct 2022 07:26:11 GMT",
"version": "v4"
}
] |
2022-10-11
|
[
[
"Liu",
"Zhang-Cheng",
""
],
[
"Miao",
"Yan-Gang",
""
]
] |
Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of the Poincar\'e coordinate system. In particular, we find a reasonable tetrad with subtlety, which not only matches the metrics of the pure AdS spacetime and Schwarzschild-AdS black hole in the commutative case, but also makes the corrections real rather than complex in the noncommutative case. For the pure AdS spacetime, the nocommutative effect is only a logarithmic term, while for the Schwarzschild-AdS black hole, it contains a logarithmic contribution plus both a mass term and a noncommutative parameter related term. Furthermore, we show that the holographic entanglement entropy with noncommutativity obeys a relation which is similar to the first law of thermodynamics in the pure AdS spacetime.
|
0805.1711
|
Enrique Moreno
|
P. Fernandez, E. F. Moreno, F. A. Schaposnik
|
Structure of the Vacuum in Deformed Supersymmetric Chiral Models
|
15 pages, minor corrections. Version to appear in JHEP
|
JHEP 0807:084,2008
|
10.1088/1126-6708/2008/07/084
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the vacuum structure of N=1/2 chiral supersymmetric theories in
deformed superspace. In particular we study O'Raifeartaigh models with
C-deformed superpotentials and canonical and non-canonical deformed Kahler
potentials. We find conditions under which the vacuum configurations are
affected by the deformations.
|
[
{
"created": "Mon, 12 May 2008 18:55:32 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2008 16:51:26 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"Fernandez",
"P.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We analyze the vacuum structure of N=1/2 chiral supersymmetric theories in deformed superspace. In particular we study O'Raifeartaigh models with C-deformed superpotentials and canonical and non-canonical deformed Kahler potentials. We find conditions under which the vacuum configurations are affected by the deformations.
|
hep-th/9904212
|
Paul H. Frampton
|
Paul H. Frampton and Thomas W. Kephart
|
Mersenne Primes, Polygonal Anomalies and String Theory Classification
|
10 pages LaTeX
|
Phys.Rev. D60 (1999) 087901
|
10.1103/PhysRevD.60.087901
|
IFP-772-UNC
|
hep-th
| null |
It is pointed out that the Mersenne primes $M_p=(2^p-1)$ and associated
perfect numbers ${\cal M}_p=2^{p-1}M_p$ play a significant role in string
theory; this observation may suggest a classification of consistent string
theories.
|
[
{
"created": "Thu, 29 Apr 1999 21:20:48 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Frampton",
"Paul H.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] |
It is pointed out that the Mersenne primes $M_p=(2^p-1)$ and associated perfect numbers ${\cal M}_p=2^{p-1}M_p$ play a significant role in string theory; this observation may suggest a classification of consistent string theories.
|
hep-th/0511120
|
Norihiro Iizuka
|
Atish Dabholkar, Norihiro Iizuka, Ashik Iqubal, and Masaki Shigemori
|
Precision Microstate Counting of Small Black Rings
|
4 pages, LaTeX, references added
|
Phys.Rev.Lett. 96 (2006) 071601
|
10.1103/PhysRevLett.96.071601
|
TIFR/TH/05-44, CALT-68-2583
|
hep-th
| null |
We examine certain two-charge supersymmetric states with spin in
five-dimensional string theories which can be viewed as small black rings when
the gravitational coupling is large. Using the 4D-5D connection, these small
black rings correspond to four-dimensional non-spinning small black holes.
Using this correspondence, we compute the degeneracy of the microstates of the
small black rings exactly and show that it is in precise agreement with the
macroscopic degeneracy to all orders in an asymptotic expansion. Furthermore,
we analyze the five-dimensional small black ring geometry and show
qualitatively that the Regge bound arises from the requirement that closed
time-like curves be absent.
|
[
{
"created": "Thu, 10 Nov 2005 17:09:25 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Dec 2005 09:13:40 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Dabholkar",
"Atish",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Iqubal",
"Ashik",
""
],
[
"Shigemori",
"Masaki",
""
]
] |
We examine certain two-charge supersymmetric states with spin in five-dimensional string theories which can be viewed as small black rings when the gravitational coupling is large. Using the 4D-5D connection, these small black rings correspond to four-dimensional non-spinning small black holes. Using this correspondence, we compute the degeneracy of the microstates of the small black rings exactly and show that it is in precise agreement with the macroscopic degeneracy to all orders in an asymptotic expansion. Furthermore, we analyze the five-dimensional small black ring geometry and show qualitatively that the Regge bound arises from the requirement that closed time-like curves be absent.
|
1503.00786
|
Munir Al-Hashimi
|
M. H. Al-Hashimi, and A. M. Shalaby
|
The Solution of the Relativistic Schrodinger Equation for the
$\delta'$-Function Potential in 1-dimension Using Cutoff Regularization
|
32 pages, 5 figures
|
Phys. Rev. D 92, 025043 (2015)
|
10.1103/PhysRevD.92.025043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relativistic version of Schr\"odinger equation for a point
particle in 1-d with potential of the first derivative of the delta function.
The momentum cutoff regularization is used to study the bound state and
scattering states. The initial calculations show that the reciprocal of the
bare coupling constant is ultra-violet divergent, and the resultant expression
cannot be renormalized in the usual sense. Therefore a general procedure has
been developed to derive different physical properties of the system. The
procedure is used first on the non-relativistic case for the purpose of
clarification and comparisons. The results from the relativistic case show that
this system behaves exactly like the delta function potential, which means it
also shares the same features with quantum field theories, like being
asymptotically free, and in the massless limit, it undergoes dimensional
transmutation and it possesses an infrared conformal fixed point.
|
[
{
"created": "Tue, 3 Mar 2015 00:17:44 GMT",
"version": "v1"
}
] |
2015-08-05
|
[
[
"Al-Hashimi",
"M. H.",
""
],
[
"Shalaby",
"A. M.",
""
]
] |
We study the relativistic version of Schr\"odinger equation for a point particle in 1-d with potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultra-violet divergent, and the resultant expression cannot be renormalized in the usual sense. Therefore a general procedure has been developed to derive different physical properties of the system. The procedure is used first on the non-relativistic case for the purpose of clarification and comparisons. The results from the relativistic case show that this system behaves exactly like the delta function potential, which means it also shares the same features with quantum field theories, like being asymptotically free, and in the massless limit, it undergoes dimensional transmutation and it possesses an infrared conformal fixed point.
|
hep-th/9401013
| null |
Makoto Natsuume
|
Zero Mode Divergence Problem in String Theory
|
14 pages + 2 figures (included as a uufile), LaTeX file,
NSF-ITP-93-157 and UTTG-33-93
|
Mod.Phys.Lett. A9 (1994) 2113-2122
|
10.1142/S0217732394001970
| null |
hep-th
| null |
For $2D$ string theory, the perturbative $S$-matrices are not well-defined
due to a zero mode divergence. Although there exist formal procedures to make
the integral convergent, their physical meanings are unclear. We describe a
method to obtain finite $S$-matrices physically to justify the formal schemes.
The scheme uses asymptotic states by wave packets which fall faster than
exponentials. It is shown that the scheme gives well-defined $S$-matrices and
justifies the formal shifted Virasoro-Shapiro amplitude for simple processes.
The tree-level unitarity for these processes is also shown. We point out a
problem in this scheme.
|
[
{
"created": "Thu, 6 Jan 1994 06:31:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Natsuume",
"Makoto",
""
]
] |
For $2D$ string theory, the perturbative $S$-matrices are not well-defined due to a zero mode divergence. Although there exist formal procedures to make the integral convergent, their physical meanings are unclear. We describe a method to obtain finite $S$-matrices physically to justify the formal schemes. The scheme uses asymptotic states by wave packets which fall faster than exponentials. It is shown that the scheme gives well-defined $S$-matrices and justifies the formal shifted Virasoro-Shapiro amplitude for simple processes. The tree-level unitarity for these processes is also shown. We point out a problem in this scheme.
|
1107.4048
|
Takeshi Morita
|
Gautam Mandal and Takeshi Morita
|
Gregory-Laflamme as the confinement/deconfinement transition in
holographic QCD
|
45 pages, 10 figures; v2: details of the analysis and new phase
diagram in Sakai-Sugimoto model are added. version appeared in JHEP; v3:
minor corrections. references are added; v4: minor corrections
|
JHEP 09 (2011) 073
|
10.1007/JHEP09(2011)073
|
TIFR/TH/11-24; CCTP-2011-14
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the phase structure of N D4 branes wrapped on a temporal
(Euclidean) and a spatial circle, in terms of the near-horizon AdS geometries.
This system has been studied previously to understand four dimensional pure
SU(N) Yang-Mills theory (YM4) through holography. In the usual treatment of the
subject, the phase transition between the AdS soliton and the black D4 brane is
interpreted as the strong coupling continuation of the
confinement/deconfinement transition in YM4. We show that this interpretation
is not valid, since the black D4 brane and the deconfinement phase of YM4 have
different realizations of the Z_N centre symmetry and cannot be identified. We
propose an alternative gravity dual of the confinement/deconfinement transition
in terms of a Gregory-Laflamme transition of the AdS soliton in the IIB frame,
where the strong coupling continuation of the deconfinement phase of YM4 is a
localized D3 soliton. Our proposal offers a new explanation of several aspects
of the thermodynamics of holographic QCD. As an example, we show a new
mechanism of chiral symmetry restoration in the Sakai-Sugimoto model. The
issues discussed in this paper pertain to gravity duals of non-supersymmetric
gauge theories in general.
|
[
{
"created": "Wed, 20 Jul 2011 17:49:47 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2011 15:16:37 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2011 23:14:01 GMT",
"version": "v3"
},
{
"created": "Tue, 13 Mar 2012 11:06:53 GMT",
"version": "v4"
}
] |
2015-05-28
|
[
[
"Mandal",
"Gautam",
""
],
[
"Morita",
"Takeshi",
""
]
] |
We discuss the phase structure of N D4 branes wrapped on a temporal (Euclidean) and a spatial circle, in terms of the near-horizon AdS geometries. This system has been studied previously to understand four dimensional pure SU(N) Yang-Mills theory (YM4) through holography. In the usual treatment of the subject, the phase transition between the AdS soliton and the black D4 brane is interpreted as the strong coupling continuation of the confinement/deconfinement transition in YM4. We show that this interpretation is not valid, since the black D4 brane and the deconfinement phase of YM4 have different realizations of the Z_N centre symmetry and cannot be identified. We propose an alternative gravity dual of the confinement/deconfinement transition in terms of a Gregory-Laflamme transition of the AdS soliton in the IIB frame, where the strong coupling continuation of the deconfinement phase of YM4 is a localized D3 soliton. Our proposal offers a new explanation of several aspects of the thermodynamics of holographic QCD. As an example, we show a new mechanism of chiral symmetry restoration in the Sakai-Sugimoto model. The issues discussed in this paper pertain to gravity duals of non-supersymmetric gauge theories in general.
|
1207.0858
|
Orfeu Bertolami
|
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, Jo\~ao Nuno Prata
|
Violation of the Robertson-Schr\"odinger uncertainty principle and
non-commutative quantum mechanics
|
5 pages, revtex4, To match version published in Physical Review D 86,
105030 (2012)
| null |
10.1103/PhysRevD.86.105030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a possible violation of the Robertson-Schr\"odinger uncertainty
principle may signal the existence of a deformation of the Heisenberg-Weyl
algebra. More precisely, we prove that any Gaussian in phase-space (even if it
violates the Robertson-Schr\"odinger uncertainty principle) is always a quantum
state of an appropriate non-commutative extension of quantum mechanics.
Conversely, all canonical non-commutative extensions of quantum mechanics
display states that violate the Robertson-Schr\"odinger uncertainty principle.
|
[
{
"created": "Tue, 3 Jul 2012 23:36:54 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2012 15:39:03 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Bastos",
"Catarina",
""
],
[
"Bertolami",
"Orfeu",
""
],
[
"Dias",
"Nuno Costa",
""
],
[
"Prata",
"João Nuno",
""
]
] |
We show that a possible violation of the Robertson-Schr\"odinger uncertainty principle may signal the existence of a deformation of the Heisenberg-Weyl algebra. More precisely, we prove that any Gaussian in phase-space (even if it violates the Robertson-Schr\"odinger uncertainty principle) is always a quantum state of an appropriate non-commutative extension of quantum mechanics. Conversely, all canonical non-commutative extensions of quantum mechanics display states that violate the Robertson-Schr\"odinger uncertainty principle.
|
1512.02087
|
Adrian Tanasa
|
Adrian Tanasa
|
The Multi-Orientable Random Tensor Model, a Review
| null |
SIGMA 12 (2016), 056, 23 pages
|
10.3842/SIGMA.2016.056
| null |
hep-th math.CO
|
http://creativecommons.org/licenses/by-sa/4.0/
|
After its introduction (initially within a group field theory framework) in
[Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages,
arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last
years into a solid alternative of the celebrated colored (and colored-like)
random tensor model. In this paper we review the most important results of the
study of this MO model: the implementation of the $1/N$ expansion and of the
large $N$ limit ($N$ being the size of the tensor), the combinatorial analysis
of the various terms of this expansion and finally, the recent implementation
of a double scaling limit.
|
[
{
"created": "Mon, 7 Dec 2015 15:22:33 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2016 03:47:51 GMT",
"version": "v2"
}
] |
2016-06-16
|
[
[
"Tanasa",
"Adrian",
""
]
] |
After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years into a solid alternative of the celebrated colored (and colored-like) random tensor model. In this paper we review the most important results of the study of this MO model: the implementation of the $1/N$ expansion and of the large $N$ limit ($N$ being the size of the tensor), the combinatorial analysis of the various terms of this expansion and finally, the recent implementation of a double scaling limit.
|
hep-th/9603190
| null |
Jonathan M. Evans and Timothy J. Hollowood
|
Exact Scattering in the SU(n) Supersymmetric Principal Chiral Model
|
24 pages, plain tex with macro included
|
Nucl.Phys. B493 (1997) 517-540
|
10.1016/S0550-3213(97)00077-1
|
CERN-TH/95-271, DAMTP/96-33, SWAT/103
|
hep-th
| null |
The complete spectrum of states in the supersymmetric principal chiral model
based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed
to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of
the lagrangian is manifest in the S-matrix construction. The supersymmetries,
on the other hand, are incorporated in the guise of spin-1/2 charges acting on
a set of RSOS kinks associated with su(n) at level n. To test the proposed
S-matrix, calculations of the change in the ground-state energy in the presence
of a coupling to a background charge are carried out. The results derived from
the lagrangian using perturbation theory and from the S-matrix using the TBA
are found to be in complete agreement for a variety of background charges which
pick out, in turn, the highest weight states in each of the fundamental
representations of SU(n). In particular, these methods rule out the possibility
of additional CDD factors in the S-matrix. Comparison of the expressions found
for the free-energy also yields an exact result for the mass-gap in these
models: m/Lambda_{MS-bar}=(n/pi)sin(pi/n).
|
[
{
"created": "Thu, 28 Mar 1996 17:44:58 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Evans",
"Jonathan M.",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] |
The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the lagrangian is manifest in the S-matrix construction. The supersymmetries, on the other hand, are incorporated in the guise of spin-1/2 charges acting on a set of RSOS kinks associated with su(n) at level n. To test the proposed S-matrix, calculations of the change in the ground-state energy in the presence of a coupling to a background charge are carried out. The results derived from the lagrangian using perturbation theory and from the S-matrix using the TBA are found to be in complete agreement for a variety of background charges which pick out, in turn, the highest weight states in each of the fundamental representations of SU(n). In particular, these methods rule out the possibility of additional CDD factors in the S-matrix. Comparison of the expressions found for the free-energy also yields an exact result for the mass-gap in these models: m/Lambda_{MS-bar}=(n/pi)sin(pi/n).
|
1706.05743
|
Simeon Hellerman
|
Simeon Hellerman, Shunsuke Maeda, Masataka Watanabe
|
Operator Dimensions from Moduli
|
48 pages, 8 figures, LaTeX, typos corrected
| null |
10.1007/JHEP10(2017)089
|
IPMU-17-0015, CALT-TH-2017-032
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the operator spectrum of a three-dimensional ${\cal N} = 2$
superconformal field theory with moduli spaces of one complex dimension, such
as the fixed point theory with three chiral superfields $X,Y,Z$ and a
superpotential $W = XYZ$. By using the existence of an effective theory on each
branch of moduli space, we calculate the anomalous dimensions of certain
low-lying operators carrying large $R$-charge $J$. While the lowest primary
operator is a BPS scalar primary, the second-lowest scalar primary is in a
semi-short representation, with dimension exactly $J+1$, a fact that cannot be
seen directly from the $XYZ$ Lagrangian. The third-lowest scalar primary lies
in a long multiplet with dimension $J+2 - c_{-3} \, J^{-3} + O(J^{-4})$, where
$c_{-3}$ is an unknown positive coefficient. The coefficient $c_{-3}$ is
proportional to the leading superconformal interaction term in the effective
theory on moduli space. The positivity of $c_{-3}$ does not follow from
supersymmetry, but rather from unitarity of moduli scattering and the absence
of superluminal signal propagation in the effective dynamics of the complex
modulus. We also prove a general lemma, that scalar semi-short representations
form a module over the chiral ring in a natural way, by ordinary multiplication
of local operators. Combined with the existence of scalar semi-short states at
large $J$, this proves the existence of scalar semi-short states at all values
of $J$. Thus the combination of ${\cal N}=2$ superconformal symmetry with the
large-$J$ expansion is more powerful than the sum of its parts.
|
[
{
"created": "Sun, 18 Jun 2017 23:14:41 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jun 2017 17:54:44 GMT",
"version": "v2"
}
] |
2017-10-17
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Maeda",
"Shunsuke",
""
],
[
"Watanabe",
"Masataka",
""
]
] |
We consider the operator spectrum of a three-dimensional ${\cal N} = 2$ superconformal field theory with moduli spaces of one complex dimension, such as the fixed point theory with three chiral superfields $X,Y,Z$ and a superpotential $W = XYZ$. By using the existence of an effective theory on each branch of moduli space, we calculate the anomalous dimensions of certain low-lying operators carrying large $R$-charge $J$. While the lowest primary operator is a BPS scalar primary, the second-lowest scalar primary is in a semi-short representation, with dimension exactly $J+1$, a fact that cannot be seen directly from the $XYZ$ Lagrangian. The third-lowest scalar primary lies in a long multiplet with dimension $J+2 - c_{-3} \, J^{-3} + O(J^{-4})$, where $c_{-3}$ is an unknown positive coefficient. The coefficient $c_{-3}$ is proportional to the leading superconformal interaction term in the effective theory on moduli space. The positivity of $c_{-3}$ does not follow from supersymmetry, but rather from unitarity of moduli scattering and the absence of superluminal signal propagation in the effective dynamics of the complex modulus. We also prove a general lemma, that scalar semi-short representations form a module over the chiral ring in a natural way, by ordinary multiplication of local operators. Combined with the existence of scalar semi-short states at large $J$, this proves the existence of scalar semi-short states at all values of $J$. Thus the combination of ${\cal N}=2$ superconformal symmetry with the large-$J$ expansion is more powerful than the sum of its parts.
|
hep-th/9304046
| null |
A. Galperin and E. Sokatchev
|
A Twistor Formulation of the Non-Heterotic Superstring with Manifest
Worldsheet Supersymmetry
|
21p., LaTeX
|
Phys.Rev. D48 (1993) 4810-4820
|
10.1103/PhysRevD.48.4810
| null |
hep-th
| null |
We propose a new formulation of the $D=3$ type II superstring which is
manifestly invariant under both target-space $N=2$ supersymmetry and worldsheet
$N=(1,1)$ super reparametrizations. This gives rise to a set of twistor
(commuting spinor) variables, which provide a solution to the two Virasoro
constraints. The worldsheet supergravity fields are shown to play the r\^ole of
auxiliary fields.
|
[
{
"created": "Mon, 12 Apr 1993 16:18:43 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Galperin",
"A.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
We propose a new formulation of the $D=3$ type II superstring which is manifestly invariant under both target-space $N=2$ supersymmetry and worldsheet $N=(1,1)$ super reparametrizations. This gives rise to a set of twistor (commuting spinor) variables, which provide a solution to the two Virasoro constraints. The worldsheet supergravity fields are shown to play the r\^ole of auxiliary fields.
|
1805.00217
|
Kotaro Tamaoka
|
Mitsuhiro Nishida, Kotaro Tamaoka
|
Fermions in Geodesic Witten Diagrams
|
12 pages + appendices; v2: some comments and appendices added,
published version
| null |
10.1007/JHEP07(2018)149
|
OU-HET-969
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the embedding formalism for odd dimensional Dirac spinors in AdS
and apply it to the (geodesic) Witten diagrams including fermionic degrees of
freedom. We first show that the geodesic Witten diagram (GWD) with fermion
exchange is equivalent to the conformal partial waves associated with the spin
one-half primary field. Then, we explicitly demonstrate the GWD decomposition
of the Witten diagram including the fermion exchange with the aid of the split
representation. The geodesic representation of CPW indeed gives the useful
basis for computing the Witten diagrams.
|
[
{
"created": "Tue, 1 May 2018 07:21:54 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jul 2018 13:55:12 GMT",
"version": "v2"
}
] |
2018-08-15
|
[
[
"Nishida",
"Mitsuhiro",
""
],
[
"Tamaoka",
"Kotaro",
""
]
] |
We develop the embedding formalism for odd dimensional Dirac spinors in AdS and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We first show that the geodesic Witten diagram (GWD) with fermion exchange is equivalent to the conformal partial waves associated with the spin one-half primary field. Then, we explicitly demonstrate the GWD decomposition of the Witten diagram including the fermion exchange with the aid of the split representation. The geodesic representation of CPW indeed gives the useful basis for computing the Witten diagrams.
|
hep-th/0107001
|
Robert Coquereaux
|
Robert Coquereaux (1), Gil Schieber (1 and 2) ((1) Centre de Physique
Theorique, CNRS, Luminy, France, (2) Instituto de Fisica, Universidade
Federal do Rio de Janeiro Ilha do Fundao, Brasil)
|
Twisted partition functions for ADE boundary conformal field theories
and Ocneanu algebras of quantum symmetries
|
47 pages, 25 figures and 17 tables. Several typos are corrected.
References added
|
J.Geom.Phys. 42 (2002) 216-258
|
10.1016/S0393-0440(01)00090-0
| null |
hep-th math-ph math.MP math.QA
| null |
For every ADE Dynkin diagram, we give a realization, in terms of usual fusion
algebras (graph algebras), of the algebra of quantum symmetries described by
the associated Ocneanu graph. We give explicitly, in each case, the list of the
corresponding twisted partition functions
|
[
{
"created": "Sat, 30 Jun 2001 00:22:47 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2001 12:11:33 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Oct 2001 12:36:35 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Coquereaux",
"Robert",
"",
"1 and 2"
],
[
"Schieber",
"Gil",
"",
"1 and 2"
]
] |
For every ADE Dynkin diagram, we give a realization, in terms of usual fusion algebras (graph algebras), of the algebra of quantum symmetries described by the associated Ocneanu graph. We give explicitly, in each case, the list of the corresponding twisted partition functions
|
1704.05785
|
Davood Momeni Dr
|
Davood Momeni, Mir Faizal, Salwa Alsaleh, Lina Alasfar, Aizhan
Myrzakul, Ratbay Myrzakulov
|
Thermodynamic and Holographic Information Dual to Volume
|
Accepted in the "European Physical Journal C", minor changes, two
figures deleted,
|
Eur. Phys. J. C (2018) 78:765
|
10.1140/epjc/s10052-018-6226-x
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we will analyze the connection between the fidelity
susceptibility, the holographic complexity and the thermodynamic volume. We
will regularize the fidelity susceptibility and the holographic complexity by
subtracting the contribution of the background AdS spacetime from the
deformation of the AdS spacetime. It will be demonstrated that this regularized
fidelity susceptibility has the same behavior as the thermodynamic volume and
that the regularized complexity has a very different behavior. As the
information dual to different volumes in the bulk would be measured by the
fidelity susceptibility and the holographic complexity, this paper will
establish a connection between thermodynamics and information dual to a volume.
|
[
{
"created": "Sat, 15 Apr 2017 15:21:43 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2017 05:42:55 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Dec 2017 14:00:45 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Sep 2018 10:09:26 GMT",
"version": "v4"
}
] |
2018-09-25
|
[
[
"Momeni",
"Davood",
""
],
[
"Faizal",
"Mir",
""
],
[
"Alsaleh",
"Salwa",
""
],
[
"Alasfar",
"Lina",
""
],
[
"Myrzakul",
"Aizhan",
""
],
[
"Myrzakulov",
"Ratbay",
""
]
] |
In this paper, we will analyze the connection between the fidelity susceptibility, the holographic complexity and the thermodynamic volume. We will regularize the fidelity susceptibility and the holographic complexity by subtracting the contribution of the background AdS spacetime from the deformation of the AdS spacetime. It will be demonstrated that this regularized fidelity susceptibility has the same behavior as the thermodynamic volume and that the regularized complexity has a very different behavior. As the information dual to different volumes in the bulk would be measured by the fidelity susceptibility and the holographic complexity, this paper will establish a connection between thermodynamics and information dual to a volume.
|
1409.7399
|
Laurence Perreault Levasseur
|
Laurence Perreault Levasseur (DAMTP and KIPAC) and Evan McDonough
(McGill U.)
|
Backreaction and Stochastic Effects in Single Field Inflation
|
24 pages, 5 figures
|
Phys. Rev. D 91, 063513 (2015)
|
10.1103/PhysRevD.91.063513
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The formalism of stochastic inflation is a powerful tool for analyzing the
backreaction of cosmological perturbations, and making precise predictions for
inflationary observables. We demonstrate this with the simple $m^2\phi^2$ model
of inflation, wherein we obtain an effective field theory for IR modes of the
inflaton, which remains coupled to UV modes through a classical noise. We
compute slow-roll corrections to the evolution of UV modes (i.e. quantum
fluctuations), and track this effect from the UV theory to the IR theory, where
it manifests as a correction to the classical noise. We compute the stochastic
correction to the spectral index of primordial perturbations, finding a small
effect, and discuss models in which this effect can become large. We extend our
analysis to tensor modes, and demonstrate that the stochastic approach allows
us to recover the standard tensor tilt $n_T$, plus corrections.
|
[
{
"created": "Thu, 25 Sep 2014 20:00:13 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2015 21:03:07 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Aug 2015 23:38:05 GMT",
"version": "v3"
}
] |
2015-09-02
|
[
[
"Levasseur",
"Laurence Perreault",
"",
"DAMTP and KIPAC"
],
[
"McDonough",
"Evan",
"",
"McGill U."
]
] |
The formalism of stochastic inflation is a powerful tool for analyzing the backreaction of cosmological perturbations, and making precise predictions for inflationary observables. We demonstrate this with the simple $m^2\phi^2$ model of inflation, wherein we obtain an effective field theory for IR modes of the inflaton, which remains coupled to UV modes through a classical noise. We compute slow-roll corrections to the evolution of UV modes (i.e. quantum fluctuations), and track this effect from the UV theory to the IR theory, where it manifests as a correction to the classical noise. We compute the stochastic correction to the spectral index of primordial perturbations, finding a small effect, and discuss models in which this effect can become large. We extend our analysis to tensor modes, and demonstrate that the stochastic approach allows us to recover the standard tensor tilt $n_T$, plus corrections.
|
2112.00498
|
Adrian Padellaro
|
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam
|
Hidden symmetries and Large N factorisation for permutation invariant
matrix observables
|
35 pages, 1 figure, V2: typos corrected and refs added, V3: sage code
added
| null |
10.1007/JHEP08(2022)090
|
QMUL-PH-21-46
|
hep-th math.CO math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Permutation invariant polynomial functions of matrices have previously been
studied as the observables in matrix models invariant under $S_N$, the
symmetric group of all permutations of $N$ objects. In this paper, the
permutation invariant matrix observables (PIMOs) of degree $k$ are shown to be
in one-to-one correspondence with equivalence classes of elements in the
diagrammatic partition algebra $P_k(N)$. On a 4-dimensional subspace of the
13-parameter space of $S_N$ invariant Gaussian models, there is an enhanced
$O(N)$ symmetry. At a special point in this subspace, is the simplest $O(N)$
invariant action. This is used to define an inner product on the PIMOs which is
expressible as a trace of a product of elements in the partition algebra. The
diagram algebra $P_k(N)$ is used to prove the large $N$ factorisation property
of this inner product, which generalizes a familiar large $N$ factorisation for
inner products of matrix traces invariant under continuous symmetries.
|
[
{
"created": "Wed, 1 Dec 2021 13:48:34 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2022 11:45:17 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Apr 2022 14:12:28 GMT",
"version": "v3"
}
] |
2022-08-24
|
[
[
"Barnes",
"George",
""
],
[
"Padellaro",
"Adrian",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
Permutation invariant polynomial functions of matrices have previously been studied as the observables in matrix models invariant under $S_N$, the symmetric group of all permutations of $N$ objects. In this paper, the permutation invariant matrix observables (PIMOs) of degree $k$ are shown to be in one-to-one correspondence with equivalence classes of elements in the diagrammatic partition algebra $P_k(N)$. On a 4-dimensional subspace of the 13-parameter space of $S_N$ invariant Gaussian models, there is an enhanced $O(N)$ symmetry. At a special point in this subspace, is the simplest $O(N)$ invariant action. This is used to define an inner product on the PIMOs which is expressible as a trace of a product of elements in the partition algebra. The diagram algebra $P_k(N)$ is used to prove the large $N$ factorisation property of this inner product, which generalizes a familiar large $N$ factorisation for inner products of matrix traces invariant under continuous symmetries.
|
hep-th/0306011
|
Ricardo Moritz Cavalcanti
|
F. A. Barone, R. M. Cavalcanti and C. Farina
|
Radiative corrections to the Casimir effect for the massive scalar field
|
5 pages, 1 figure. Talk given at International Conference on
Renormalization Group and Anomalies in Gravity and Cosmology (IRGA 2003),
Ouro Preto, MG, Brazil, 17-23 March 2003. Version 2: reference added
|
Nucl. Phys. Proc. Suppl. 127 (2004) 118-122
|
10.1016/S0920-5632(03)02411-3
|
IF-UFRJ-xx/2003
|
hep-th
| null |
We compute the first radiative correction to the Casimir energy of a massive
scalar field with a quartic self-interaction in the presence of two parallel
plates. Three kinds of boundary conditions are considered: Dirichlet-Dirichlet,
Neumann-Neumann and Dirichlet-Neumann. We use dimensional and analytical
regularizations to obtain our physical results.
|
[
{
"created": "Mon, 2 Jun 2003 19:14:55 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2003 19:51:56 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Barone",
"F. A.",
""
],
[
"Cavalcanti",
"R. M.",
""
],
[
"Farina",
"C.",
""
]
] |
We compute the first radiative correction to the Casimir energy of a massive scalar field with a quartic self-interaction in the presence of two parallel plates. Three kinds of boundary conditions are considered: Dirichlet-Dirichlet, Neumann-Neumann and Dirichlet-Neumann. We use dimensional and analytical regularizations to obtain our physical results.
|
hep-th/9910058
|
Tim Morris
|
Tim R. Morris
|
A gauge invariant exact renormalization group I
|
TeX, harvmac, epsf; 35 pages, 15 figs; a few typos corrected
|
Nucl.Phys. B573 (2000) 97-126
|
10.1016/S0550-3213(99)00821-4
|
SHEP 99-06
|
hep-th cond-mat hep-lat hep-ph
| null |
A manifestly gauge invariant continuous renormalization group flow equation
is constructed for pure SU(N) gauge theory. The formulation makes sense without
gauge fixing and manifestly gauge invariant calculations may thus be carried
out. The flow equation is naturally expressed in terms of fluctuating Wilson
loops, with the effective action appearing as an integral over a `gas' of
Wilson loops. At infinite N, the effective action collapses to a path integral
over the trajectory of a single particle describing one Wilson loop. We show
that further regularization of these flow equations is needed. (This is
introduced in part II.)
|
[
{
"created": "Wed, 6 Oct 1999 22:02:22 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 2000 11:56:29 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Morris",
"Tim R.",
""
]
] |
A manifestly gauge invariant continuous renormalization group flow equation is constructed for pure SU(N) gauge theory. The formulation makes sense without gauge fixing and manifestly gauge invariant calculations may thus be carried out. The flow equation is naturally expressed in terms of fluctuating Wilson loops, with the effective action appearing as an integral over a `gas' of Wilson loops. At infinite N, the effective action collapses to a path integral over the trajectory of a single particle describing one Wilson loop. We show that further regularization of these flow equations is needed. (This is introduced in part II.)
|
hep-th/9712124
|
Bert Schroer
|
Bert Schroer (FU-Berlin)
|
Modular Wedge Localization and the d=1+1 Formfactor Program
|
the fourth section has been rewritten in order to remove an error and
to gain additional clarity. 32 pages, tcilatex
|
Annals Phys. 275 (1999) 190-223
|
10.1006/aphy.1999.5921
| null |
hep-th
| null |
In this paper I continue the study of the new framework of modular
localization and its constructive use in the nonperturbative d=1+1
Karowski-Weisz-Smirnov formfactor program. Particular attention is focussed on
the existence of semilocal generators of the wedge-localized algebra without
vauum polarization (FWG-operators) which are closely related to objects
fulfilling the Zamolodchikov-Faddeev algebraic structure. They generate a
``thermal Hilbert space'' and allow to understand the equivalence of the KMS
conditions with the so-called cyclicity equation for formfactors which was
known to be closely related to crossing symmetry properties. The modular
setting gives rise to interesting new ideas on ``free'' d=2+1 anyons and
plektons.
|
[
{
"created": "Fri, 12 Dec 1997 17:36:20 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Dec 1997 10:46:06 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Feb 1998 12:07:46 GMT",
"version": "v3"
},
{
"created": "Thu, 19 Mar 1998 21:05:02 GMT",
"version": "v4"
},
{
"created": "Tue, 27 Oct 1998 18:16:15 GMT",
"version": "v5"
}
] |
2009-10-30
|
[
[
"Schroer",
"Bert",
"",
"FU-Berlin"
]
] |
In this paper I continue the study of the new framework of modular localization and its constructive use in the nonperturbative d=1+1 Karowski-Weisz-Smirnov formfactor program. Particular attention is focussed on the existence of semilocal generators of the wedge-localized algebra without vauum polarization (FWG-operators) which are closely related to objects fulfilling the Zamolodchikov-Faddeev algebraic structure. They generate a ``thermal Hilbert space'' and allow to understand the equivalence of the KMS conditions with the so-called cyclicity equation for formfactors which was known to be closely related to crossing symmetry properties. The modular setting gives rise to interesting new ideas on ``free'' d=2+1 anyons and plektons.
|
hep-th/9410241
|
Shahn Majid
|
Shahn Majid
|
Introduction to Braided Geometry and $q$-Minkowski Space
|
60 pages
| null | null |
DAMTP/94-68
|
hep-th math.QA
| null |
We present a systematic introduction to the geometry of linear braided
spaces. These are versions of $\R^n$ in which the coordinates $x_i$ have
braid-statistics described by an R-matrix. From this starting point we survey
the author's braided-approach to $q$-deformation: braided differentiation,
exponentials, Gaussians, integration and forms, i.e. the basic ingredients for
$q$-deformed physics are covered. The braided approach includes natural
$q$-Euclidean and $q$-Minkowski spaces in R-matrix form.
|
[
{
"created": "Tue, 1 Nov 1994 00:00:32 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 1994 17:17:13 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Nov 1994 23:06:10 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Majid",
"Shahn",
""
]
] |
We present a systematic introduction to the geometry of linear braided spaces. These are versions of $\R^n$ in which the coordinates $x_i$ have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to $q$-deformation: braided differentiation, exponentials, Gaussians, integration and forms, i.e. the basic ingredients for $q$-deformed physics are covered. The braided approach includes natural $q$-Euclidean and $q$-Minkowski spaces in R-matrix form.
|
1705.03440
|
V. Didenko
|
V.E. Didenko, M.A. Vasiliev
|
Test of the local form of higher-spin equations via AdS/CFT
|
18 pages, Typos and acknowledgement corrected. Misleading notation in
Section 4.2 changed. References corrected
| null |
10.1016/j.physletb.2017.09.091
|
FIAN/TD/10-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The local form of higher-spin equations found recently to the second order
[1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for
appropriate boundary conditions. It is argued that consistent $AdS/CFT$
holography for the parity-broken boundary models needs a nontrivial
modification of the bosonic truncation of the original higher-spin theory with
the doubled number of fields, as well as a nonlinear deformation of the
boundary conditions in the higher orders.
|
[
{
"created": "Tue, 9 May 2017 17:32:21 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2017 17:17:53 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Didenko",
"V. E.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
The local form of higher-spin equations found recently to the second order [1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for appropriate boundary conditions. It is argued that consistent $AdS/CFT$ holography for the parity-broken boundary models needs a nontrivial modification of the bosonic truncation of the original higher-spin theory with the doubled number of fields, as well as a nonlinear deformation of the boundary conditions in the higher orders.
|
1203.0525
|
Niklas Beisert
|
Niklas Beisert, Cristian Vergu
|
On the Geometry of Null Polygons in Full N=4 Superspace
|
25 pages, v2: comment on correlation functions added
|
Phys. Rev. D 86, 026006 (2012)
|
10.1103/PhysRevD.86.026006
|
AEI-2012-006; NSF-KITP-12-010
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss various formulations of null polygons in full, non-chiral N=4
superspace in terms of spacetime, spinor and twistor variables. We also note
that null polygons are necessarily fat along fermionic directions, a curious
fact which is compensated by suitable equivalence relations in physical
theories on this superspace.
|
[
{
"created": "Fri, 2 Mar 2012 17:22:31 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2012 09:50:18 GMT",
"version": "v2"
}
] |
2012-07-31
|
[
[
"Beisert",
"Niklas",
""
],
[
"Vergu",
"Cristian",
""
]
] |
We discuss various formulations of null polygons in full, non-chiral N=4 superspace in terms of spacetime, spinor and twistor variables. We also note that null polygons are necessarily fat along fermionic directions, a curious fact which is compensated by suitable equivalence relations in physical theories on this superspace.
|
2109.11608
|
Gabriel Larios
|
Mattia Ces\`aro and Gabriel Larios and Oscar Varela
|
The spectrum of marginally-deformed ${\cal N} = 2$ CFTs with AdS$_4$
S-fold duals of type IIB
|
v3: minor typos corrected. Version to be published in JHEP
| null |
10.1007/JHEP12(2021)214
|
IFT-UAM/CSIC-21-101
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A holographic duality was recently established between an ${\cal N} =4$
non-geometric AdS$_4$ solution of type IIB supergravity in the so-called S-fold
class, and a three-dimensional conformal field theory (CFT) defined as a limit
of ${\cal N} =4$ super-Yang-Mills at an interface. Using gauged supergravity,
the ${\cal N} =2$ conformal manifold (CM) of this CFT has been assessed to be
two-dimensional. Here, we holographically characterise the large-$N$ operator
spectrum of the marginally-deformed CFT. We do this by, firstly, providing the
algebraic structure of the complete Kaluza-Klein (KK) spectrum on the
associated two-parameter family of AdS$_4$ solutions. And, secondly, by
computing the ${\cal N} =2$ supermultiplet dimensions at the first few KK
levels on a lattice in the CM, using new exceptional field theory techniques.
Our KK analysis also allows us to establish that, at least at large $N$, this
${\cal N} =2$ CM is topologically a non-compact cylindrical Riemann surface
bounded on only one side.
|
[
{
"created": "Thu, 23 Sep 2021 19:31:41 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 2021 14:49:45 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Dec 2021 12:18:23 GMT",
"version": "v3"
}
] |
2022-01-19
|
[
[
"Cesàro",
"Mattia",
""
],
[
"Larios",
"Gabriel",
""
],
[
"Varela",
"Oscar",
""
]
] |
A holographic duality was recently established between an ${\cal N} =4$ non-geometric AdS$_4$ solution of type IIB supergravity in the so-called S-fold class, and a three-dimensional conformal field theory (CFT) defined as a limit of ${\cal N} =4$ super-Yang-Mills at an interface. Using gauged supergravity, the ${\cal N} =2$ conformal manifold (CM) of this CFT has been assessed to be two-dimensional. Here, we holographically characterise the large-$N$ operator spectrum of the marginally-deformed CFT. We do this by, firstly, providing the algebraic structure of the complete Kaluza-Klein (KK) spectrum on the associated two-parameter family of AdS$_4$ solutions. And, secondly, by computing the ${\cal N} =2$ supermultiplet dimensions at the first few KK levels on a lattice in the CM, using new exceptional field theory techniques. Our KK analysis also allows us to establish that, at least at large $N$, this ${\cal N} =2$ CM is topologically a non-compact cylindrical Riemann surface bounded on only one side.
|
1101.0590
|
Aristide Baratin
|
Aristide Baratin, Florian Girelli, Daniele Oriti
|
Diffeomorphisms in group field theories
|
31 pages, revtex4; many figures
|
Phys.Rev.D83:104051,2011
|
10.1103/PhysRevD.83.104051
|
LPT Orsay 11-08
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the issue of diffeomorphism symmetry in group field theories (GFT),
using the recently introduced noncommutative metric representation. In the
colored Boulatov model for 3d gravity, we identify a field (quantum) symmetry
which ties together the vertex translation invariance of discrete gravity, the
flatness constraint of canonical quantum gravity, and the topological
(coarse-graining) identities for the 6j-symbols. We also show how, for the GFT
graphs dual to manifolds, the invariance of the Feynman amplitudes encodes the
discrete residual action of diffeomorphisms in simplicial gravity path
integrals. We extend the results to GFT models for higher dimensional BF
theories and discuss various insights that they provide on the GFT formalism
itself.
|
[
{
"created": "Mon, 3 Jan 2011 20:28:24 GMT",
"version": "v1"
}
] |
2011-12-14
|
[
[
"Baratin",
"Aristide",
""
],
[
"Girelli",
"Florian",
""
],
[
"Oriti",
"Daniele",
""
]
] |
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently introduced noncommutative metric representation. In the colored Boulatov model for 3d gravity, we identify a field (quantum) symmetry which ties together the vertex translation invariance of discrete gravity, the flatness constraint of canonical quantum gravity, and the topological (coarse-graining) identities for the 6j-symbols. We also show how, for the GFT graphs dual to manifolds, the invariance of the Feynman amplitudes encodes the discrete residual action of diffeomorphisms in simplicial gravity path integrals. We extend the results to GFT models for higher dimensional BF theories and discuss various insights that they provide on the GFT formalism itself.
|
2310.06716
|
Robert Oeckl
|
Daniele Colosi (ENES-Morelia-UNAM), Robert Oeckl (CCM-UNAM), Adamantia
Zampeli (ICTQT)
|
Interaction of evanescent particles with an Unruh-DeWitt detector
|
42 pages, 11 figures; v2: typos corrected, changed numbering style to
match published version
|
Phys. Rev. D 109 (2024) 025009, 27 pages
|
10.1103/PhysRevD.109.025009
|
UNAM-CCM-2023-1
|
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We demonstrate that the recently introduced evanescent particles of a massive
scalar field can be emitted and absorbed by an Unruh-DeWitt detector. In doing
so the particles carry away from or deposit on the detector a quantized amount
of energy, in a manner quite analogous to ordinary propagating particles. In
contradistinction to propagating particles the amount of energy is less than
the mass of the field, but still positive. We develop relevant methods and
provide a study of the detector emission spectrum, emission probability and
absorption probability involving both propagating and evanescent particles.
|
[
{
"created": "Tue, 10 Oct 2023 15:43:11 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 2024 18:24:28 GMT",
"version": "v2"
}
] |
2024-02-01
|
[
[
"Colosi",
"Daniele",
"",
"ENES-Morelia-UNAM"
],
[
"Oeckl",
"Robert",
"",
"CCM-UNAM"
],
[
"Zampeli",
"Adamantia",
"",
"ICTQT"
]
] |
We demonstrate that the recently introduced evanescent particles of a massive scalar field can be emitted and absorbed by an Unruh-DeWitt detector. In doing so the particles carry away from or deposit on the detector a quantized amount of energy, in a manner quite analogous to ordinary propagating particles. In contradistinction to propagating particles the amount of energy is less than the mass of the field, but still positive. We develop relevant methods and provide a study of the detector emission spectrum, emission probability and absorption probability involving both propagating and evanescent particles.
|
hep-th/0110038
|
Roy B. Tumlos
|
Jose A. Magpantay (National Institute of Physics, U.P. Diliman)
|
The Geometrical Basis of the Nonlinear Gauge
|
3 figures, 19 pages
| null | null | null |
hep-th
| null |
We consider Yang-Mills theory in Euclidean space-time $(R^4)$ and construct
its configuration space. The orbits are first shown to form a congruence set.
Then we discuss the orthogonal gauge condition in Abelian theory and show that
Coulomb-like surfaces foliate the entire configuration space. In the
non-Abelian case, where these exists no global orthogonal gauge, we derive the
non-linear gauge proposed previously by the author by modifying the
orthogonality condition. However, unlike the Abelian case, the entire
configuration space cannot be foliated by submanifolds defined by the
non-linear gauge. The foliation is only limited to the non-perturbative regime
of Yang-Mills theory.
|
[
{
"created": "Thu, 4 Oct 2001 04:32:00 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jul 2003 06:02:33 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Magpantay",
"Jose A.",
"",
"National Institute of Physics, U.P. Diliman"
]
] |
We consider Yang-Mills theory in Euclidean space-time $(R^4)$ and construct its configuration space. The orbits are first shown to form a congruence set. Then we discuss the orthogonal gauge condition in Abelian theory and show that Coulomb-like surfaces foliate the entire configuration space. In the non-Abelian case, where these exists no global orthogonal gauge, we derive the non-linear gauge proposed previously by the author by modifying the orthogonality condition. However, unlike the Abelian case, the entire configuration space cannot be foliated by submanifolds defined by the non-linear gauge. The foliation is only limited to the non-perturbative regime of Yang-Mills theory.
|
1905.10745
|
Sota Nakajima
|
H. Itoyama, Sota Nakajima
|
Exponentially suppressed cosmological constant with enhanced gauge
symmetry in heterotic interpolating models
|
Final version to appear in PTEP
|
Prog Theor Exp Phys (2019)
|
10.1093/ptep/ptz123
|
NITEP 21, OCU-PHYS 503
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A few nine-dimensional interpolating models with two parameters are
constructed and the massless spectra are studied by considering
compactification of heterotic strings on a twisted circle with Wilson line. It
is found that there are some conditions between radius R and Wilson line A
under which the gauge symmetry is enhanced. In particular, when the gauge
symmetry is enhanced to SO(18) \times SO(14), the cosmological constant is
exponentially suppressed. We also construct a non-supersymmetric string model
which is tachyon-free in all regions of moduli space and whose gauge symmetry
involves E_8.
|
[
{
"created": "Sun, 26 May 2019 06:35:21 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 01:22:43 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Jun 2019 09:54:20 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Oct 2019 05:48:14 GMT",
"version": "v4"
}
] |
2019-12-11
|
[
[
"Itoyama",
"H.",
""
],
[
"Nakajima",
"Sota",
""
]
] |
A few nine-dimensional interpolating models with two parameters are constructed and the massless spectra are studied by considering compactification of heterotic strings on a twisted circle with Wilson line. It is found that there are some conditions between radius R and Wilson line A under which the gauge symmetry is enhanced. In particular, when the gauge symmetry is enhanced to SO(18) \times SO(14), the cosmological constant is exponentially suppressed. We also construct a non-supersymmetric string model which is tachyon-free in all regions of moduli space and whose gauge symmetry involves E_8.
|
2407.10692
|
Andre LeClair
|
Andr\'e LeClair
|
Vacuum energy density from the form factor bootstrap
|
16 pages, no figures. Version 2: corrected some potentially confusing
typos
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The form-factor bootstrap is incomplete until one normalizes the
zero-particle form factor. For the stress energy tensor we describe how to
obtain the vacuum energy density $\rho_{\rm vac}$, defined as $\langle 0|
T_{\mu\nu} | 0 \rangle = \rho_{\rm vac} \, g_{\mu\nu}$, from the form-factor
bootstrap. Even for integrable QFT's in D=2 spacetime dimensions, this
prescription is new, although it reproduces previously known results obtained
in a different and more difficult thermodynamic Bethe ansatz computation. We
propose a version of this prescription in D=4 dimensions. For these even
dimensions, the vacuum energy density has the universal form $\rho_{\rm vac}
\propto m^D/\mathfrak{g}$ where $\mathfrak{g}$ is a dimensionless interaction
coupling constant which can be determined from the high energy behavior of the
S-matrix. In the limit $\mathfrak{g} \to 0$, $\rho_{\rm vac} $ diverges due to
well understood UV divergences in free quantum field theories. If we assume the
the observed Cosmological Constant originates from the vacuum energy density
$\rho_{\rm vac}$ computed as proposed here, then this suggests there must exist
a particle which does not obtain its mass from spontaneous symmetry breaking in
the electro-weak sector, which we designate as the "zeron". A strong candidate
for the zeron is a massive Majorana neutrino.
|
[
{
"created": "Mon, 15 Jul 2024 13:04:42 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jul 2024 12:36:58 GMT",
"version": "v2"
}
] |
2024-07-19
|
[
[
"LeClair",
"André",
""
]
] |
The form-factor bootstrap is incomplete until one normalizes the zero-particle form factor. For the stress energy tensor we describe how to obtain the vacuum energy density $\rho_{\rm vac}$, defined as $\langle 0| T_{\mu\nu} | 0 \rangle = \rho_{\rm vac} \, g_{\mu\nu}$, from the form-factor bootstrap. Even for integrable QFT's in D=2 spacetime dimensions, this prescription is new, although it reproduces previously known results obtained in a different and more difficult thermodynamic Bethe ansatz computation. We propose a version of this prescription in D=4 dimensions. For these even dimensions, the vacuum energy density has the universal form $\rho_{\rm vac} \propto m^D/\mathfrak{g}$ where $\mathfrak{g}$ is a dimensionless interaction coupling constant which can be determined from the high energy behavior of the S-matrix. In the limit $\mathfrak{g} \to 0$, $\rho_{\rm vac} $ diverges due to well understood UV divergences in free quantum field theories. If we assume the the observed Cosmological Constant originates from the vacuum energy density $\rho_{\rm vac}$ computed as proposed here, then this suggests there must exist a particle which does not obtain its mass from spontaneous symmetry breaking in the electro-weak sector, which we designate as the "zeron". A strong candidate for the zeron is a massive Majorana neutrino.
|
hep-th/0409002
|
Wen-Li Yang
|
W. -L. Yang, R. Sasaki and Y. -Z. Zhang
|
$Z_n$ elliptic Gaudin model with open boundaries
|
21 pages, Latex file
|
JHEP0409:046,2004
|
10.1088/1126-6708/2004/09/046
|
YITP-04-46
|
hep-th
| null |
The $Z_n$ elliptic Gaudin model with integrable boundaries specified by
generic non-diagonal K-matrices with $n+1$ free boundary parameters is studied.
The commuting families of Gaudin operators are diagonalized by the algebraic
Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz
equations are obtained.
|
[
{
"created": "Wed, 1 Sep 2004 07:40:24 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Oct 2004 01:52:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Yang",
"W. -L.",
""
],
[
"Sasaki",
"R.",
""
],
[
"Zhang",
"Y. -Z.",
""
]
] |
The $Z_n$ elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matrices with $n+1$ free boundary parameters is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained.
|
1608.05331
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Alexander D. Popov
|
Superstring limit of Yang-Mills theories
|
1+11 pages, v2: minor corrections
| null |
10.1016/j.physletb.2016.09.032
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was pointed out by Shifman and Yung that the critical superstring on
$X^{10}={\mathbb R}^4\times Y^6$, where $Y^6$ is the resolved conifold, appears
as an effective theory for a U(2) Yang-Mills-Higgs system with four fundamental
Higgs scalars defined on $\Sigma_2\times{\mathbb R}^2$, where $\Sigma_2$ is a
two-dimensional Lorentzian manifold. Their Yang-Mills model supports semilocal
vortices on ${\mathbb R}^2\subset\Sigma_2\times{\mathbb R}^2$ with a moduli
space $X^{10}$. When the moduli of slowly moving thin vortices depend on the
coordinates of $\Sigma_2$, the vortex strings can be identified with critical
fundamental strings. We show that similar results can be obtained for the
low-energy limit of pure Yang-Mills theory on $\Sigma_2\times T^2_p$, where
$T^2_p$ is a two-dimensional torus with a puncture $p$. The solitonic vortices
of Shifman and Yung then get replaced by flat connections. Various
ten-dimensional superstring target spaces can be obtained as moduli spaces of
flat connections on $T^2_p$, depending on the choice of the gauge group. The
full Green-Schwarz sigma model requires extending the gauge group to a
supergroup and augmenting the action with a topological term.
|
[
{
"created": "Thu, 18 Aug 2016 16:57:26 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2016 16:29:18 GMT",
"version": "v2"
}
] |
2016-09-28
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] |
It was pointed out by Shifman and Yung that the critical superstring on $X^{10}={\mathbb R}^4\times Y^6$, where $Y^6$ is the resolved conifold, appears as an effective theory for a U(2) Yang-Mills-Higgs system with four fundamental Higgs scalars defined on $\Sigma_2\times{\mathbb R}^2$, where $\Sigma_2$ is a two-dimensional Lorentzian manifold. Their Yang-Mills model supports semilocal vortices on ${\mathbb R}^2\subset\Sigma_2\times{\mathbb R}^2$ with a moduli space $X^{10}$. When the moduli of slowly moving thin vortices depend on the coordinates of $\Sigma_2$, the vortex strings can be identified with critical fundamental strings. We show that similar results can be obtained for the low-energy limit of pure Yang-Mills theory on $\Sigma_2\times T^2_p$, where $T^2_p$ is a two-dimensional torus with a puncture $p$. The solitonic vortices of Shifman and Yung then get replaced by flat connections. Various ten-dimensional superstring target spaces can be obtained as moduli spaces of flat connections on $T^2_p$, depending on the choice of the gauge group. The full Green-Schwarz sigma model requires extending the gauge group to a supergroup and augmenting the action with a topological term.
|
hep-th/9609176
|
Ashoke Sen
|
Ashoke Sen
|
Unification of String Dualities
|
LaTeX file, 27 pages
|
Nucl.Phys.Proc.Suppl.58:5-19,1997
|
10.1016/S0920-5632(97)00409-X
|
MRI-PHY/96-28
|
hep-th
| null |
We argue that all conjectured dualities involving various string, M- and F-
theory compactifications can be `derived' from the conjectured duality between
type I and SO(32) heterotic string theory, T-dualities, and the definition of
M- and F- theories. (Based on a talk given at the conference on `Advanced
Quantum Field Theory', Le Londe-les-Maures, France, Aug.31-Sept.5, 1996, in
memory of Claude Itzykson)
|
[
{
"created": "Mon, 23 Sep 1996 09:39:05 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
We argue that all conjectured dualities involving various string, M- and F- theory compactifications can be `derived' from the conjectured duality between type I and SO(32) heterotic string theory, T-dualities, and the definition of M- and F- theories. (Based on a talk given at the conference on `Advanced Quantum Field Theory', Le Londe-les-Maures, France, Aug.31-Sept.5, 1996, in memory of Claude Itzykson)
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.