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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1405.1804 | Zhijin Li | Tianjun Li, Zhijin Li, Dimitri V. Nanopoulos | Natural Inflation with Natural Trans-Planckian Axion Decay Constant from
Anomalous $U(1)_X$ | 14 pages, no figure, references added, version published in JHEP | JHEP 1407 (2014) 052 | 10.1007/JHEP07(2014)052 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a natural inflation model driven by an imaginary or axionic
component of a K\"ahler modulus in string-inspired supergravity. The shift
symmetry of the axion is gauged under an anomalous $U(1)_X$ symmetry, which
leads to a modulus-dependent Fayet-Iliopoulos (FI) term. The matter fields are
stabilized by F-terms, and the real component of the modulus is stabilized by
the $U(1)_X$ D-term, while its axion remains light. Therefore, the masses of
real and imaginary components of the modulus are separated at different scales.
The scalar potential for natural inflation is realized by the superpotential
from the non-perturbative effects. The trans-Planckian axion decay constant,
which is needed to fit with BICEP2 observations, can be obtained naturally in
this model.
| [
{
"created": "Thu, 8 May 2014 05:33:31 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jul 2014 05:54:16 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Li",
"Tianjun",
""
],
[
"Li",
"Zhijin",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
]
] | We propose a natural inflation model driven by an imaginary or axionic component of a K\"ahler modulus in string-inspired supergravity. The shift symmetry of the axion is gauged under an anomalous $U(1)_X$ symmetry, which leads to a modulus-dependent Fayet-Iliopoulos (FI) term. The matter fields are stabilized by F-terms, and the real component of the modulus is stabilized by the $U(1)_X$ D-term, while its axion remains light. Therefore, the masses of real and imaginary components of the modulus are separated at different scales. The scalar potential for natural inflation is realized by the superpotential from the non-perturbative effects. The trans-Planckian axion decay constant, which is needed to fit with BICEP2 observations, can be obtained naturally in this model. |
hep-th/9808040 | Malik Rudra Prakash | R. P. Malik (Bose Centre, Calcutta, India) | BRST cohomology and Hodge decomposition theorem in Abelian gauge theory | 20 pages, LaTeX, no figures, Title and text have been changed,
Journal reference is given, some references have been added | Int. J. Mod. Phys. A15 (2000) 1685-1705 | 10.1142/S0217751X00000756 | null | hep-th | null | We discuss the Becchi-Rouet-Stora-Tyutin (BRST) cohomology and Hodge
decomposition theorem for the two dimensional free U(1) gauge theory. In
addition to the usual BRST charge, we derive a local, conserved and nilpotent
co(dual)-BRST charge under which the gauge-fixing term remains invariant. We
express the Hodge decomposition theorem in terms of these charges and the
Laplacian operator. We take a single photon state in the quantum Hilbert space
and demonstrate the notion of gauge invariance, no-(anti)ghost theorem,
transversality of photon and establish the topological nature of this theory by
exploiting the concepts of BRST cohomology and Hodge decomposition theorem. In
fact, the topological nature of this theory is encoded in the vanishing of the
Laplacian operator when equations of motion are exploited. On the two
dimensional compact manifold, we derive two sets of topological invariants with
respect to the conserved and nilpotent BRST- and co-BRST charges and express
the Lagrangian density of the theory as the sum of terms that are BRST- and
co-BRST invariants. Mathematically, this theory captures together some of the
key features of both Witten- and Schwarz type of topological field theories.
| [
{
"created": "Fri, 7 Aug 1998 09:09:18 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2000 07:33:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Malik",
"R. P.",
"",
"Bose Centre, Calcutta, India"
]
] | We discuss the Becchi-Rouet-Stora-Tyutin (BRST) cohomology and Hodge decomposition theorem for the two dimensional free U(1) gauge theory. In addition to the usual BRST charge, we derive a local, conserved and nilpotent co(dual)-BRST charge under which the gauge-fixing term remains invariant. We express the Hodge decomposition theorem in terms of these charges and the Laplacian operator. We take a single photon state in the quantum Hilbert space and demonstrate the notion of gauge invariance, no-(anti)ghost theorem, transversality of photon and establish the topological nature of this theory by exploiting the concepts of BRST cohomology and Hodge decomposition theorem. In fact, the topological nature of this theory is encoded in the vanishing of the Laplacian operator when equations of motion are exploited. On the two dimensional compact manifold, we derive two sets of topological invariants with respect to the conserved and nilpotent BRST- and co-BRST charges and express the Lagrangian density of the theory as the sum of terms that are BRST- and co-BRST invariants. Mathematically, this theory captures together some of the key features of both Witten- and Schwarz type of topological field theories. |
hep-th/9510189 | Harutada Sato | Haru-Tada Sato | $q$-Virasoro Operators from $q$-Noether Currents | revised and extended version of HUPD-9201, a wrong statement of
HUPD-9204 is corrected, to be published in Z. Phys. C | Z.Phys. C70 (1996) 349-356 | null | HUPD-9201 | hep-th | null | We discuss the $q$-Virasoro algebra based on the arguments of the Noether
currents in a two-dimensional massless fermion theory as well as in a
three-dimensional nonrelativistic one. Some notes on the $q$-differential
operator realization and the central extension are also included.
| [
{
"created": "Wed, 25 Oct 1995 18:07:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sato",
"Haru-Tada",
""
]
] | We discuss the $q$-Virasoro algebra based on the arguments of the Noether currents in a two-dimensional massless fermion theory as well as in a three-dimensional nonrelativistic one. Some notes on the $q$-differential operator realization and the central extension are also included. |
hep-th/0605132 | Andrei Barvinsky | A.O.Barvinsky and A.Yu.Kamenshchik | Cosmological Landscape From Nothing: Some Like It Hot | Final version, to appear in JCAP | JCAP 0609 (2006) 014 | 10.1088/1475-7516/2006/09/014 | null | hep-th | null | We suggest a novel picture of the quantum Universe -- its creation is
described by the {\em density matrix} defined by the Euclidean path integral.
This yields an ensemble of universes -- a cosmological landscape -- in a mixed
state which is shown to be dynamically more preferable than the pure quantum
state of the Hartle-Hawking type. The latter is dynamically suppressed by the
infinitely large positive action of its instanton, generated by the conformal
anomaly of quantum fields within the cosmological bootstrap (the
self-consistent back reaction of hot matter). This bootstrap suggests a
solution to the problem of boundedness of the on-shell cosmological action and
eliminates the infrared catastrophe of small cosmological constant in Euclidean
quantum gravity. The cosmological landscape turns out to be limited to a
bounded range of the cosmological constant $\Lambda_{\rm min}\leq \Lambda \leq
\Lambda_{\rm max}$. The domain $\Lambda<\Lambda_{\rm min}$ is ruled out by the
back reaction effect which we analyze by solving effective Euclidean equations
of motion. The upper cutoff is enforced by the quantum effects of vacuum energy
and the conformal anomaly mediated by a special ghost-avoidance renormalization
of the effective action. They establish a new quantum scale $\Lambda_{\rm max}$
which is determined by the coefficient of the topological Gauss-Bonnet term in
the conformal anomaly. This scale is realized as the upper bound -- the
limiting point of an infinite sequence of garland-type instantons which
constitute the full cosmological landscape. The dependence of the cosmological
constant range on particle phenomenology suggests a possible dynamical
selection mechanism for the landscape of string vacua.
| [
{
"created": "Fri, 12 May 2006 20:38:13 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2006 17:57:40 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Sep 2006 17:19:13 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Barvinsky",
"A. O.",
""
],
[
"Kamenshchik",
"A. Yu.",
""
]
] | We suggest a novel picture of the quantum Universe -- its creation is described by the {\em density matrix} defined by the Euclidean path integral. This yields an ensemble of universes -- a cosmological landscape -- in a mixed state which is shown to be dynamically more preferable than the pure quantum state of the Hartle-Hawking type. The latter is dynamically suppressed by the infinitely large positive action of its instanton, generated by the conformal anomaly of quantum fields within the cosmological bootstrap (the self-consistent back reaction of hot matter). This bootstrap suggests a solution to the problem of boundedness of the on-shell cosmological action and eliminates the infrared catastrophe of small cosmological constant in Euclidean quantum gravity. The cosmological landscape turns out to be limited to a bounded range of the cosmological constant $\Lambda_{\rm min}\leq \Lambda \leq \Lambda_{\rm max}$. The domain $\Lambda<\Lambda_{\rm min}$ is ruled out by the back reaction effect which we analyze by solving effective Euclidean equations of motion. The upper cutoff is enforced by the quantum effects of vacuum energy and the conformal anomaly mediated by a special ghost-avoidance renormalization of the effective action. They establish a new quantum scale $\Lambda_{\rm max}$ which is determined by the coefficient of the topological Gauss-Bonnet term in the conformal anomaly. This scale is realized as the upper bound -- the limiting point of an infinite sequence of garland-type instantons which constitute the full cosmological landscape. The dependence of the cosmological constant range on particle phenomenology suggests a possible dynamical selection mechanism for the landscape of string vacua. |
hep-th/0412027 | Paul de Medeiros | Paul de Medeiros, Sanjaye Ramgoolam | Non-associative gauge theory and higher spin interactions | 1+49 pages, LaTeX; references and clarifying remarks added | JHEP 0503 (2005) 072 | 10.1088/1126-6708/2005/03/072 | MCTP-04-64, QMUL-PH-04-08 | hep-th | null | We give a framework to describe gauge theory on a certain class of
commutative but non-associative fuzzy spaces. Our description is in terms of an
Abelian gauge connection valued in the algebra of functions on the cotangent
bundle of the fuzzy space. The structure of such a gauge theory has many formal
similarities with that of Yang-Mills theory. The components of the gauge
connection are functions on the fuzzy space which transform in higher spin
representations of the Lorentz group. In component form, the gauge theory
describes an interacting theory of higher spin fields, which remains
non-trivial in the limit where the fuzzy space becomes associative. In this
limit, the theory can be viewed as a projection of an ordinary non-commutative
Yang-Mills theory. We describe the embedding of Maxwell theory in this extended
framework which follows the standard unfolding procedure for higher spin gauge
theories.
| [
{
"created": "Thu, 2 Dec 2004 17:20:00 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2005 18:14:46 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"de Medeiros",
"Paul",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We give a framework to describe gauge theory on a certain class of commutative but non-associative fuzzy spaces. Our description is in terms of an Abelian gauge connection valued in the algebra of functions on the cotangent bundle of the fuzzy space. The structure of such a gauge theory has many formal similarities with that of Yang-Mills theory. The components of the gauge connection are functions on the fuzzy space which transform in higher spin representations of the Lorentz group. In component form, the gauge theory describes an interacting theory of higher spin fields, which remains non-trivial in the limit where the fuzzy space becomes associative. In this limit, the theory can be viewed as a projection of an ordinary non-commutative Yang-Mills theory. We describe the embedding of Maxwell theory in this extended framework which follows the standard unfolding procedure for higher spin gauge theories. |
hep-th/0111078 | Christopher Herzog | Christopher P. Herzog and Igor R. Klebanov | On String Tensions in Supersymmetric SU(M) Gauge Theory | 9 pages, 1 figure, v4: Published in PLB, typos in eqs. 10 and 12
fixed, figure compressed | Phys.Lett. B526 (2002) 388-392 | 10.1016/S0370-2693(02)01155-3 | null | hep-th | null | In some models of N=1 supersymmetric SU(M) gauge dynamics (hep-th/9503163 and
hep-th/9707244), the tension of a string ending on q external quarks is
proportional to sin(pi q/M), q=1,..., M-1. In this paper we calculate the
ratios of the q-string tensions using the recently derived type IIB gravity
duals of N=1 SUSY gauge theories. Far in the IR these gravity duals contain a
three-sphere with M units of R-R 3-form flux which, upon S-duality, turns into
NS-NS 3-form flux. The confining q-string is described by a D3-brane wrapping a
two-sphere inside the three-sphere with q units of world volume flux. For one
of the gravity dual backgrounds (Maldacena-Nunez) a D3-brane probe calculation
exactly reproduces the sin(pi q/M) dependence, while for another
(Klebanov-Strassler) we find approximate agreement. We speculate on the
connection of the q-string tensions with D-brane tensions in the SU(2) WZW
model.
| [
{
"created": "Thu, 8 Nov 2001 19:56:03 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2001 16:12:42 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Nov 2001 13:45:59 GMT",
"version": "v3"
},
{
"created": "Wed, 14 Aug 2002 06:34:32 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Klebanov",
"Igor R.",
""
]
] | In some models of N=1 supersymmetric SU(M) gauge dynamics (hep-th/9503163 and hep-th/9707244), the tension of a string ending on q external quarks is proportional to sin(pi q/M), q=1,..., M-1. In this paper we calculate the ratios of the q-string tensions using the recently derived type IIB gravity duals of N=1 SUSY gauge theories. Far in the IR these gravity duals contain a three-sphere with M units of R-R 3-form flux which, upon S-duality, turns into NS-NS 3-form flux. The confining q-string is described by a D3-brane wrapping a two-sphere inside the three-sphere with q units of world volume flux. For one of the gravity dual backgrounds (Maldacena-Nunez) a D3-brane probe calculation exactly reproduces the sin(pi q/M) dependence, while for another (Klebanov-Strassler) we find approximate agreement. We speculate on the connection of the q-string tensions with D-brane tensions in the SU(2) WZW model. |
hep-th/0008034 | Burkhard Kleihaus | B. Kleihaus (University College, Dublin) and J. Kunz (University
Oldenburg) | Non-Abelian Black Holes with Magnetic Dipole Hair | 10 pages, including 3 eps figures, LaTex format | Phys.Lett. B494 (2000) 130-134 | 10.1016/S0370-2693(00)01162-X | null | hep-th gr-qc | null | We construct static axially symmetric black holes in SU(2)
Einstein-Yang-Mills-Higgs theory. Located in between a monopole-antimonopole
pair, these black holes possess magnetic dipole hair. The difference of their
mass and their horizon mass equals the mass of the regular
monopole-antimonopole solution, as expected from the isolated horizon
framework.
| [
{
"created": "Thu, 3 Aug 2000 11:05:51 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kleihaus",
"B.",
"",
"University College, Dublin"
],
[
"Kunz",
"J.",
"",
"University\n Oldenburg"
]
] | We construct static axially symmetric black holes in SU(2) Einstein-Yang-Mills-Higgs theory. Located in between a monopole-antimonopole pair, these black holes possess magnetic dipole hair. The difference of their mass and their horizon mass equals the mass of the regular monopole-antimonopole solution, as expected from the isolated horizon framework. |
hep-th/9506073 | Shin'ichi Nojiri | Miyuki KATSUKI, Shin'ichi NOJIRI and Akio SUGAMOTO | Two-Form Gravity and the Generation of Space-Time | Latex file, 18pp | Int.J.Mod.Phys. A11 (1996) 3033-3048 | 10.1142/S0217751X96001474 | OCHA-PP-61, NDA-FP-20 | hep-th | null | In the framework of the two-form gravity, which is classically equivalent to
the Einstein gravity, the one-loop effective potential for the conformal factor
of metric is calculated in the finite volume and in the finite temperature by
choosing a temporal gauge condition. There appears a quartically divergent term
which cannot be removed by the renormalization of the cosmological term and we
find there is only one non-trivial minimum in the effective potential. If the
cut-off scale has a physical meaning, \eg the Planck scale coming from string
theory, this minimum might explain why the space-time is generated, \ie why the
classical metric has a non-trivial value.
| [
{
"created": "Sat, 10 Jun 1995 22:03:11 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"KATSUKI",
"Miyuki",
""
],
[
"NOJIRI",
"Shin'ichi",
""
],
[
"SUGAMOTO",
"Akio",
""
]
] | In the framework of the two-form gravity, which is classically equivalent to the Einstein gravity, the one-loop effective potential for the conformal factor of metric is calculated in the finite volume and in the finite temperature by choosing a temporal gauge condition. There appears a quartically divergent term which cannot be removed by the renormalization of the cosmological term and we find there is only one non-trivial minimum in the effective potential. If the cut-off scale has a physical meaning, \eg the Planck scale coming from string theory, this minimum might explain why the space-time is generated, \ie why the classical metric has a non-trivial value. |
2011.02716 | Chen-Pin Yeh | Po-Chun Sun, Da-Shin Lee and Chen-Pin Yeh | Holographic approach to thermalization in general anisotropic theories | The published version | null | 10.1007/JHEP03(2021)164 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We employ the holographic approach to study the thermalization in the
quenched strongly-coupled field theories with very general anisotropic scalings
including Lifshitz and hyperscaling violating fixed points. The holographic
dual is a Vaidya-like time-dependent geometry where the asymptotic metric has
general anisotropic scaling isometries. We find the Ryu-Takanayagi extremal
surface and use it to calculate the time-dependent entanglement entropy between
a strip region with width $2R$ and its outside region. In the special case with
an isotropic metric, we also explore the entanglement entropy for a spherical
region of radius $R$. The growth of the entanglement entropy characterizes the
thermalization rate after a quench. We study the thermalization process in the
early times and late times in both large $R$ and small $R$ limits. The allowed
scaling parameter regions are constrained by the null energy conditions as well
as the condition for the existence of the Ryu-Takanayagi extremal surfaces.
This generalizes the previous works on this subject. All obtained results can
be compared with experiments and other methods of probing thermalization.
| [
{
"created": "Thu, 5 Nov 2020 09:15:32 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2021 02:52:09 GMT",
"version": "v2"
}
] | 2021-04-02 | [
[
"Sun",
"Po-Chun",
""
],
[
"Lee",
"Da-Shin",
""
],
[
"Yeh",
"Chen-Pin",
""
]
] | We employ the holographic approach to study the thermalization in the quenched strongly-coupled field theories with very general anisotropic scalings including Lifshitz and hyperscaling violating fixed points. The holographic dual is a Vaidya-like time-dependent geometry where the asymptotic metric has general anisotropic scaling isometries. We find the Ryu-Takanayagi extremal surface and use it to calculate the time-dependent entanglement entropy between a strip region with width $2R$ and its outside region. In the special case with an isotropic metric, we also explore the entanglement entropy for a spherical region of radius $R$. The growth of the entanglement entropy characterizes the thermalization rate after a quench. We study the thermalization process in the early times and late times in both large $R$ and small $R$ limits. The allowed scaling parameter regions are constrained by the null energy conditions as well as the condition for the existence of the Ryu-Takanayagi extremal surfaces. This generalizes the previous works on this subject. All obtained results can be compared with experiments and other methods of probing thermalization. |
hep-th/0601138 | Gianguido Dall'Agata | Gianguido Dall'Agata and Sergio Ferrara | Updates in local supersymmmetry and its spontaneous breaking | Contribution to the Proceedings of the 43rd Erice International
School of Subnuclear Physics 2005 | null | 10.1142/9789812779120_0004 | CERN-PH-TH/2006-008 | hep-th | null | We give a basic review of some recent developments in local supersymmetry
breaking in 4-dimensional effective theories coming from compactifications of
string and M-theory in the presence of non-trivial form and geometrical fluxes.
| [
{
"created": "Thu, 19 Jan 2006 17:30:03 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Dall'Agata",
"Gianguido",
""
],
[
"Ferrara",
"Sergio",
""
]
] | We give a basic review of some recent developments in local supersymmetry breaking in 4-dimensional effective theories coming from compactifications of string and M-theory in the presence of non-trivial form and geometrical fluxes. |
0712.3095 | Sunandan Gangopadhyay | Sunandan Gangopadhyay | Hawking radiation in GHS blackhole, Effective action and Covariant
Boundary condition | 5 pages Latex file, minor modifications, some additional material
added | Phys.Rev.D77:064027,2008 | 10.1103/PhysRevD.77.064027 | null | hep-th | null | We exploit the expression for the anomalous (chiral) effective action to
obtain the Hawking radiation from the GHS (stringy) blackhole falling in the
class of the most general spherically symmetric blackholes $(\sqrt{-g}\neq1)$,
using only covariant boundary condition at the event horizon. The connection
between the anomalous and the normal energy-momentum tensors is also
established from the effective action approach.
| [
{
"created": "Wed, 19 Dec 2007 04:34:23 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2008 04:35:15 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gangopadhyay",
"Sunandan",
""
]
] | We exploit the expression for the anomalous (chiral) effective action to obtain the Hawking radiation from the GHS (stringy) blackhole falling in the class of the most general spherically symmetric blackholes $(\sqrt{-g}\neq1)$, using only covariant boundary condition at the event horizon. The connection between the anomalous and the normal energy-momentum tensors is also established from the effective action approach. |
1907.12764 | Henning Samtleben | Nihat Sadik Deger, Camille Eloy, Henning Samtleben | ${\mathcal{N}=(8,0)}$ AdS vacua of three-dimensional supergravity | 47 pages, v2: version published in JHEP | JHEP 1910 (2019) 145 | 10.1007/JHEP10(2019)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a classification of fully supersymmetric chiral ${\cal N}=(8,0)$
AdS$_3$ vacua in general three-dimensional half-maximal gauged supergravities
coupled to matter. These theories exhibit a wealth of supersymmetric vacua with
background isometries given by the supergroups OSp$(8|2,\mathbb{R})$, F(4),
SU$(4|1,1)$, and OSp$(4^*|4)$, respectively. We identify the associated
embedding tensors and the structure of the associated gauge groups. We
furthermore compute the mass spectra around these vacua. As an off-spin we
include results for a number of ${\cal N}=(7,0)$ vacua with supergroups
OSp$(7|2,\mathbb{R})$ and G$(3)$, respectively. We also comment on their
possible higher-dimensional uplifts.
| [
{
"created": "Tue, 30 Jul 2019 07:31:10 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Oct 2019 21:18:30 GMT",
"version": "v2"
}
] | 2019-10-24 | [
[
"Deger",
"Nihat Sadik",
""
],
[
"Eloy",
"Camille",
""
],
[
"Samtleben",
"Henning",
""
]
] | We give a classification of fully supersymmetric chiral ${\cal N}=(8,0)$ AdS$_3$ vacua in general three-dimensional half-maximal gauged supergravities coupled to matter. These theories exhibit a wealth of supersymmetric vacua with background isometries given by the supergroups OSp$(8|2,\mathbb{R})$, F(4), SU$(4|1,1)$, and OSp$(4^*|4)$, respectively. We identify the associated embedding tensors and the structure of the associated gauge groups. We furthermore compute the mass spectra around these vacua. As an off-spin we include results for a number of ${\cal N}=(7,0)$ vacua with supergroups OSp$(7|2,\mathbb{R})$ and G$(3)$, respectively. We also comment on their possible higher-dimensional uplifts. |
1202.3637 | Valentin Bonzom | Valentin Bonzom, Razvan Gurau, Vincent Rivasseau | Random tensor models in the large N limit: Uncoloring the colored tensor
models | 15 pages | Phys. Rev. D 85, 084037 (2012) | 10.1103/PhysRevD.85.084037 | pi-qg-259 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tensor models generalize random matrix models in yielding a theory of
dynamical triangulations in arbitrary dimensions. Colored tensor models have
been shown to admit a 1/N expansion and a continuum limit accessible
analytically. In this paper we prove that these results extend to the most
general tensor model for a single generic, i.e. non-symmetric, complex tensor.
Colors appear in this setting as a canonical book-keeping device and not as a
fundamental feature. In the large N limit, we exhibit a set of Virasoro
constraints satisfied by the free energy and an infinite family of
multicritical behaviors with entropy exponents \gamma_m=1-1/m.
| [
{
"created": "Thu, 16 Feb 2012 16:33:37 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Bonzom",
"Valentin",
""
],
[
"Gurau",
"Razvan",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansion and a continuum limit accessible analytically. In this paper we prove that these results extend to the most general tensor model for a single generic, i.e. non-symmetric, complex tensor. Colors appear in this setting as a canonical book-keeping device and not as a fundamental feature. In the large N limit, we exhibit a set of Virasoro constraints satisfied by the free energy and an infinite family of multicritical behaviors with entropy exponents \gamma_m=1-1/m. |
hep-th/9908194 | Tsippy R. Mendelson | Tsippy R. Mendelson | Cosmic String Helicity: Constraints on Loop Configurations, and the
Quantization of Baryon Number | 27 pages, 10 figures | null | null | null | hep-th hep-ph | null | We apply the concept of helicity from classical hydrodynamics to elucidate
two problematical issues in cosmic string physics. Helicity, the space integral
of the scalar product of a velocity-like field with its vorticity field (curl),
can be defined for a complex scalar field in analogy with fluids. We dwell on
the topological interpretation of helicity as related to the linking of field
lines of the vorticity field. Earlier works failed to fully implement this
interpretation for cosmic strings by missing a term connected with the linking
of these lines inside the strings. As a result paradoxical conclusions were
drawn: global cosmic string loops may not take on certain simple shapes, and
baryon number is not quantized in integers in the presence of local cosmic
strings in gauge theory. We show that both paradoxes are removed when internal
contributions to helicity are properly taken into account. In particular,
quantization of baryon number can be understood within a special case of the
Glashow-Weinberg-Salam model if cosmic strings are the unique mechanism for
baryosynthesis. In addition, we find a new constraint on the permitted linkages
of cosmic strings in a string tangle.
| [
{
"created": "Mon, 30 Aug 1999 08:22:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mendelson",
"Tsippy R.",
""
]
] | We apply the concept of helicity from classical hydrodynamics to elucidate two problematical issues in cosmic string physics. Helicity, the space integral of the scalar product of a velocity-like field with its vorticity field (curl), can be defined for a complex scalar field in analogy with fluids. We dwell on the topological interpretation of helicity as related to the linking of field lines of the vorticity field. Earlier works failed to fully implement this interpretation for cosmic strings by missing a term connected with the linking of these lines inside the strings. As a result paradoxical conclusions were drawn: global cosmic string loops may not take on certain simple shapes, and baryon number is not quantized in integers in the presence of local cosmic strings in gauge theory. We show that both paradoxes are removed when internal contributions to helicity are properly taken into account. In particular, quantization of baryon number can be understood within a special case of the Glashow-Weinberg-Salam model if cosmic strings are the unique mechanism for baryosynthesis. In addition, we find a new constraint on the permitted linkages of cosmic strings in a string tangle. |
hep-th/0001046 | Luca Lusanna | Horace Crater (Univ. of Tennessee, Tullahoma) and Luca Lusanna (INFN,
Firenze) | The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in
the Radiation Gauge | 119 pages, revtex file | Annals Phys.289:87-177,2001 | 10.1006/aphy.2000.6129 | null | hep-th hep-ph math-ph math.MP nucl-th physics.class-ph | null | In the semiclassical approximation in which the electric charges of scalar
particles are described by Grassmann variables ($Q_i^2=0, Q_iQ_j\ne 0$), it is
possible to re-express the Lienard-Wiechert potentials and electric fields in
the radiation gauge as phase space functions, because the difference among
retarded, advanced, and symmetric Green functions is of order Q_i^2. By working
in the rest-frame instant form of dynamics, the elimination of the
electromagnetic degrees of freedom by means of suitable second classs
contraints leads to the identification of the Lienard-Wiechert reduced phase
space containing only N charged particles with mutual action-at-a-distance
vector and scalar potentials. A Darboux canonical basis of the reduced phase
space is found. This allows one to re-express the potentials for arbitrary N as
a unique effective scalar potential containing the Coulomb potential and the
complete Darwin one, whose 1/c^2 component agrees for with the known
expression. The effective potential gives the classical analogue of all static
and non-static effects of the one-photon exchange Feynman diagram of scalar
electrodynamics.
| [
{
"created": "Mon, 10 Jan 2000 09:29:13 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Crater",
"Horace",
"",
"Univ. of Tennessee, Tullahoma"
],
[
"Lusanna",
"Luca",
"",
"INFN,\n Firenze"
]
] | In the semiclassical approximation in which the electric charges of scalar particles are described by Grassmann variables ($Q_i^2=0, Q_iQ_j\ne 0$), it is possible to re-express the Lienard-Wiechert potentials and electric fields in the radiation gauge as phase space functions, because the difference among retarded, advanced, and symmetric Green functions is of order Q_i^2. By working in the rest-frame instant form of dynamics, the elimination of the electromagnetic degrees of freedom by means of suitable second classs contraints leads to the identification of the Lienard-Wiechert reduced phase space containing only N charged particles with mutual action-at-a-distance vector and scalar potentials. A Darboux canonical basis of the reduced phase space is found. This allows one to re-express the potentials for arbitrary N as a unique effective scalar potential containing the Coulomb potential and the complete Darwin one, whose 1/c^2 component agrees for with the known expression. The effective potential gives the classical analogue of all static and non-static effects of the one-photon exchange Feynman diagram of scalar electrodynamics. |
2407.00785 | Saad Eddine Baddis | Saad Eddine Baddis, Adil Belhaj | Swampland Program for Hypergeometric Inflation Scenarios in Rescaled
Gravity | 12 pages, one figure and one table. Authors in alphabetical order.
Accepted for publication in Modern Physics Letters A, 2024 | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/publicdomain/zero/1.0/ | In this paper, we investigate hypergeometric stringy corrections in the
swampland program for rescaled gravity. Precisely, we study inflationary models
from Gauss-Bonnet hypergeometric scalar couplings via the falsification
scenario. We first derive generalized exponential potentials from such
hypergeometric behaviors. Then, we examine certain selected scalar potentials
by computing the relevant cosmological quantities using the slow-roll
mechanism. Choosing specific points in the corresponding moduli space, we
provide viable findings corroborated by Planck observational data and checked
by the swampland criteria.
| [
{
"created": "Sun, 30 Jun 2024 18:02:14 GMT",
"version": "v1"
}
] | 2024-07-02 | [
[
"Baddis",
"Saad Eddine",
""
],
[
"Belhaj",
"Adil",
""
]
] | In this paper, we investigate hypergeometric stringy corrections in the swampland program for rescaled gravity. Precisely, we study inflationary models from Gauss-Bonnet hypergeometric scalar couplings via the falsification scenario. We first derive generalized exponential potentials from such hypergeometric behaviors. Then, we examine certain selected scalar potentials by computing the relevant cosmological quantities using the slow-roll mechanism. Choosing specific points in the corresponding moduli space, we provide viable findings corroborated by Planck observational data and checked by the swampland criteria. |
hep-th/9412080 | null | G.M.Cicuta, L.Molinari, E.Montaldi, S.Stramaglia | A Matrix Model for Random Surfaces with Dynamical Holes | 20 pages in Plain Tex, 4 figures not enclosed | J.Phys.A29:3769-3785,1996 | 10.1088/0305-4470/29/14/006 | null | hep-th | null | A matrix model to describe dynamical loops on random planar graphs is
analyzed. It has similarities with a model studied by Kazakov, few years ago,
and the O(n) model by Kostov and collaborators. The main difference is that all
loops are coherently oriented and empty. The free energy is analytically
evaluated and the two critical phases are analyzed, where the free energy
exhibits the same critical behaviour of Kazakov's model, thus confirming the
universality of the description in the continuum limit (surface with small
holes, and the tearing phase). A third phase occurs on the boundary separating
the above phase regions, and is characterized by a different singular
behaviour, presumably due to the orientation of loops.
| [
{
"created": "Fri, 9 Dec 1994 10:13:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cicuta",
"G. M.",
""
],
[
"Molinari",
"L.",
""
],
[
"Montaldi",
"E.",
""
],
[
"Stramaglia",
"S.",
""
]
] | A matrix model to describe dynamical loops on random planar graphs is analyzed. It has similarities with a model studied by Kazakov, few years ago, and the O(n) model by Kostov and collaborators. The main difference is that all loops are coherently oriented and empty. The free energy is analytically evaluated and the two critical phases are analyzed, where the free energy exhibits the same critical behaviour of Kazakov's model, thus confirming the universality of the description in the continuum limit (surface with small holes, and the tearing phase). A third phase occurs on the boundary separating the above phase regions, and is characterized by a different singular behaviour, presumably due to the orientation of loops. |
hep-th/9206052 | Patrick Dorey | Patrick Dorey and Francesco Ravanini | Staircase Models from Affine Toda Field Theory | 22 pages, Saclay-Bologna preprint SPhT/92-065, DFUB-92-09 | Int.J.Mod.Phys. A8 (1993) 873-894 | 10.1142/S0217751X93000333 | null | hep-th | null | We propose a class of purely elastic scattering theories generalising the
staircase model of Al. B. Zamolodchikov, based on the affine Toda field
theories for simply-laced Lie algebras g=A,D,E at suitable complex values of
their coupling constants. Considering their Thermodynamic Bethe Ansatz
equations, we give analytic arguments in support of a conjectured
renormalisation group flow visiting the neighbourhood of each W_g minimal model
in turn.
| [
{
"created": "Thu, 11 Jun 1992 15:03:43 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Dorey",
"Patrick",
""
],
[
"Ravanini",
"Francesco",
""
]
] | We propose a class of purely elastic scattering theories generalising the staircase model of Al. B. Zamolodchikov, based on the affine Toda field theories for simply-laced Lie algebras g=A,D,E at suitable complex values of their coupling constants. Considering their Thermodynamic Bethe Ansatz equations, we give analytic arguments in support of a conjectured renormalisation group flow visiting the neighbourhood of each W_g minimal model in turn. |
1912.12661 | Anirban Basu | Anirban Basu | Transcendentality violation in type IIB string amplitudes | 26 pages, LaTeX | null | 10.1007/JHEP02(2020)034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze transcendentality for certain terms that arise in multiloop
amplitudes in the low momentum expansion of the four graviton amplitude in type
IIB string theory in ten dimensions, based on the constraints of supersymmetry
and S--duality. This leads to several contributions that violate
transcendentality beyond one loop at all orders in the low momentum expansion.
We also perform a similar analysis for the five graviton amplitude, obtaining
contributions that involve single--valued multiple zeta values beyond tree
level.
| [
{
"created": "Sun, 29 Dec 2019 14:35:13 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Basu",
"Anirban",
""
]
] | We analyze transcendentality for certain terms that arise in multiloop amplitudes in the low momentum expansion of the four graviton amplitude in type IIB string theory in ten dimensions, based on the constraints of supersymmetry and S--duality. This leads to several contributions that violate transcendentality beyond one loop at all orders in the low momentum expansion. We also perform a similar analysis for the five graviton amplitude, obtaining contributions that involve single--valued multiple zeta values beyond tree level. |
hep-th/9712156 | Michael Gutperle | Michael Gutperle (Princeton University) | Aspects of D-Instantons | 14 pages, Latex, 1 figure, uses crckapb.sty, Talk given at the
NATO-ASI on Strings, Branes and Dualities, Cargese, France, 1997 | null | null | PUPT-1752 | hep-th | null | An overview over effects of D-instantons in ten dimensional IIB superstring
theory is given, including the supergravity instanton solution, instanton
induced effective interaction vertices, the conjectured $SL(2,Z)$ invariant
completion of such terms and the connection of such terms to a one loop
calculation in eleven dimensional supergravity.
| [
{
"created": "Tue, 16 Dec 1997 15:20:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gutperle",
"Michael",
"",
"Princeton University"
]
] | An overview over effects of D-instantons in ten dimensional IIB superstring theory is given, including the supergravity instanton solution, instanton induced effective interaction vertices, the conjectured $SL(2,Z)$ invariant completion of such terms and the connection of such terms to a one loop calculation in eleven dimensional supergravity. |
hep-th/9212151 | Shahn Majid | Shahn Majid | Beyond Supersymmetry and Quantum Symmetry (an introduction to braided
groups and braided matrices) | 52 pages, DAMTP/92-71 (to appear in Proc. 5th Nankai Workshop, China,
June 92, Wld Sci.) Some typos corrected in this replacement re. eqns (77),
(101), (121). Also, the figures are now submitted as Figures file to the
database | null | null | null | hep-th | null | This is a systematic introduction for physicists to the theory of algebras
and groups with braid statistics, as developed over the last three years by the
author. There are braided lines, braided planes, braided matrices and braided
groups all in analogy with superlines, superplanes etc. The main idea is that
the bose-fermi $\pm1$ statistics between Grassmannn coordinates is now replaced
by a general braid statistics $\Psi$, typically given by a Yang-Baxter matrix
$R$. Most of the algebraic proofs are best done by drawing knot and tangle
diagrams, yet most constructions in supersymmetry appear to generalise well.
Particles of braid statistics exist and can be expected to be described in this
way. At the same time, we find many applications to ordinary quantum group
theory: how to make quantum-group covariant (braided) tensor products and spin
chains, action-angle variables for quantum groups, vector addition on
$q$-Minkowski space and a semidirect product q-Poincar\'e group are among the
main applications so far. Every quantum group can be viewed as a braided group,
so the theory contains quantum group theory as well as supersymmetry. There
also appears to be a rich theory of braided geometry, more general than
super-geometry and including aspects of quantum geometry. Braided-derivations
obey a braided-Leibniz rule and recover the usual Jackson $q$-derivative as the
1-dimensional case.
| [
{
"created": "Wed, 23 Dec 1992 16:45:25 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 1993 12:35:32 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Jan 1993 15:19:14 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Majid",
"Shahn",
""
]
] | This is a systematic introduction for physicists to the theory of algebras and groups with braid statistics, as developed over the last three years by the author. There are braided lines, braided planes, braided matrices and braided groups all in analogy with superlines, superplanes etc. The main idea is that the bose-fermi $\pm1$ statistics between Grassmannn coordinates is now replaced by a general braid statistics $\Psi$, typically given by a Yang-Baxter matrix $R$. Most of the algebraic proofs are best done by drawing knot and tangle diagrams, yet most constructions in supersymmetry appear to generalise well. Particles of braid statistics exist and can be expected to be described in this way. At the same time, we find many applications to ordinary quantum group theory: how to make quantum-group covariant (braided) tensor products and spin chains, action-angle variables for quantum groups, vector addition on $q$-Minkowski space and a semidirect product q-Poincar\'e group are among the main applications so far. Every quantum group can be viewed as a braided group, so the theory contains quantum group theory as well as supersymmetry. There also appears to be a rich theory of braided geometry, more general than super-geometry and including aspects of quantum geometry. Braided-derivations obey a braided-Leibniz rule and recover the usual Jackson $q$-derivative as the 1-dimensional case. |
0712.2316 | Hiroshi Itoyama | H.Itoyama and A.Morozov | Boundary Ring or a Way to Construct Approximate NG Solutions with
Polygon Boundary Conditions. II. Polygons which admit an inscribed circle | 45 pages | Prog.Theor.Phys.120:231-287,2008 | 10.1143/PTP.120.231 | OCU-PHYS 284, ITEP/TH-58/07 | hep-th | null | We further develop the formalism of arXiv:0712.0159 for approximate solution
of Nambu-Goto (NG) equations with polygon conditions in AdS backgrounds, needed
in modern studies of the string/gauge duality. Inscribed circle condition is
preserved, which leaves only one unknown function y_0(y_1,y_2) to solve for,
what considerably simplifies our presentation. The problem is to find a
delicate balance -- if not exact match -- between two different structures: NG
equation -- a non-linear deformation of Laplace equation with solutions
non-linearly deviating from holomorphic functions, -- and the boundary ring,
associated with polygons made from null segments in Minkovski space. We provide
more details about the theory of these structures and suggest an extended class
of functions to be used at the next stage of Alday-Maldacena program:
evaluation of regularized NG actions.
| [
{
"created": "Fri, 14 Dec 2007 10:15:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Itoyama",
"H.",
""
],
[
"Morozov",
"A.",
""
]
] | We further develop the formalism of arXiv:0712.0159 for approximate solution of Nambu-Goto (NG) equations with polygon conditions in AdS backgrounds, needed in modern studies of the string/gauge duality. Inscribed circle condition is preserved, which leaves only one unknown function y_0(y_1,y_2) to solve for, what considerably simplifies our presentation. The problem is to find a delicate balance -- if not exact match -- between two different structures: NG equation -- a non-linear deformation of Laplace equation with solutions non-linearly deviating from holomorphic functions, -- and the boundary ring, associated with polygons made from null segments in Minkovski space. We provide more details about the theory of these structures and suggest an extended class of functions to be used at the next stage of Alday-Maldacena program: evaluation of regularized NG actions. |
1410.5080 | Runqiu Yang | Rong-Gen Cai and Run-Qiu Yang | Coexistence and competition of ferromagnetism and p-wave
superconductivity in holographic model | improved version, added some references and background knowledges | Phys. Rev. D 91, 026001 (2015) | 10.1103/PhysRevD.91.026001 | null | hep-th cond-mat.str-el cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By combining a holographic p-wave superconductor model and a holographic
ferromagnetism model, we study the coexistence and competition of
ferromagnetism and p-wave superconductivity. It is found that the results
depend on the self-interaction of magnetic moment of the complex vector field
and which phase appears first. In the case that the ferromagnetic phase appears
first, if the interaction is attractive, the system shows the ferromagnetism
and superconductivity can coexist in low temperatures. If the interaction is
repulsive, the system will only be in a pure ferromagnetic state. In the case
that the superconducting phase appears first, the attractive interaction will
leads to a magnetic p-wave superconducting phase in low temperatures. If the
interaction is repulsive, the system will be in a pure p-wave superconducting
phase or ferromagnetic phase when the temperature is lowered.
| [
{
"created": "Sun, 19 Oct 2014 15:06:10 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Nov 2014 14:13:01 GMT",
"version": "v2"
}
] | 2015-01-14 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Yang",
"Run-Qiu",
""
]
] | By combining a holographic p-wave superconductor model and a holographic ferromagnetism model, we study the coexistence and competition of ferromagnetism and p-wave superconductivity. It is found that the results depend on the self-interaction of magnetic moment of the complex vector field and which phase appears first. In the case that the ferromagnetic phase appears first, if the interaction is attractive, the system shows the ferromagnetism and superconductivity can coexist in low temperatures. If the interaction is repulsive, the system will only be in a pure ferromagnetic state. In the case that the superconducting phase appears first, the attractive interaction will leads to a magnetic p-wave superconducting phase in low temperatures. If the interaction is repulsive, the system will be in a pure p-wave superconducting phase or ferromagnetic phase when the temperature is lowered. |
1907.00514 | David Tong | Nakarin Lohitsiri and David Tong | Hypercharge Quantisation and Fermat's Last Theorem | 2.25 pages. v2: References added. v3: More references, and comment on
the right handed neutrino | SciPost Phys. 8, 009 (2020) | 10.21468/SciPostPhys.8.1.009 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | What values of the Standard Model hypercharges result in a mathematically
consistent quantum field theory? We show that the constraints imposed by the
lack of gauge anomalies can be recast as the equation x^3 + y^3 = z^3. If
hypercharge is quantised, then x, y and z must be integers. The trivial (and
only) solutions, with x=0 or y=0, reproduce the hypercharge assignments seen in
Nature. This argument does not rely on the mixed gauge-gravitational anomaly,
which is automatically vanishing if hypercharge is quantised and the gauge
anomalies vanish.
| [
{
"created": "Mon, 1 Jul 2019 02:07:25 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jul 2019 00:15:27 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jan 2020 09:20:35 GMT",
"version": "v3"
}
] | 2020-01-29 | [
[
"Lohitsiri",
"Nakarin",
""
],
[
"Tong",
"David",
""
]
] | What values of the Standard Model hypercharges result in a mathematically consistent quantum field theory? We show that the constraints imposed by the lack of gauge anomalies can be recast as the equation x^3 + y^3 = z^3. If hypercharge is quantised, then x, y and z must be integers. The trivial (and only) solutions, with x=0 or y=0, reproduce the hypercharge assignments seen in Nature. This argument does not rely on the mixed gauge-gravitational anomaly, which is automatically vanishing if hypercharge is quantised and the gauge anomalies vanish. |
hep-th/9604195 | Konstadinos Sfetsos | I. Bakas and K. Sfetsos | Universal aspects of string propagation on curved backgrounds | 15 pages, latex. Typo in Eq. (2.12) is corrected. Version to be
published in Phys. Rev. D | Phys. Rev. D 54, 3995 (1996) | 10.1103/PhysRevD.54.3995 | CERN-TH/96-89, THU-96/19 | hep-th | null | String propagation on D-dimensional curved backgrounds with Lorentzian
signature is formulated as a geometrical problem of embedding surfaces. When
the spatial part of the background corresponds to a general WZW model for a
compact group, the classical dynamics of the physical degrees of freedom is
governed by the coset conformal field theory SO(D-1)/SO(D-2), which is
universal irrespective of the particular WZW model. The same holds for string
propagation on D-dimensional flat space. The integration of the corresponding
Gauss-Codazzi equations requires the introduction of (non-Abelian) parafermions
in differential geometry.
| [
{
"created": "Tue, 30 Apr 1996 11:04:51 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 1996 15:20:40 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Bakas",
"I.",
""
],
[
"Sfetsos",
"K.",
""
]
] | String propagation on D-dimensional curved backgrounds with Lorentzian signature is formulated as a geometrical problem of embedding surfaces. When the spatial part of the background corresponds to a general WZW model for a compact group, the classical dynamics of the physical degrees of freedom is governed by the coset conformal field theory SO(D-1)/SO(D-2), which is universal irrespective of the particular WZW model. The same holds for string propagation on D-dimensional flat space. The integration of the corresponding Gauss-Codazzi equations requires the introduction of (non-Abelian) parafermions in differential geometry. |
1701.06997 | Vladimir Kirilin | S. Giombi, V. Kirilin, E. Skvortsov | Notes on Spinning Operators in Fermionic CFT | 37 pages, 1 figure. v2: minor corrections | null | 10.1007/JHEP05(2017)041 | PUPT-2517, LMU-ASC 05/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Gross-Neveu model defines a unitary CFT of interacting fermions in
$2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the
epsilon-expansion near two and four dimensions. In each of these descriptions,
the CFT has an infinite tower of nearly conserved currents of all spins. We
determine the structure of the non-conservation equations both at large $N$ and
in the epsilon-expansion, and use it to find the leading order anomalous
dimensions of the broken currents. Similarly, we use the fact that the CFT
spectrum includes a nearly free fermion to fix the leading anomalous dimensions
of a few scalar composite operators. We also compute the scaling dimensions of
double-trace spinning operators in the large $N$ expansion, which correspond to
interaction energies of two-particle states in the AdS dual higher-spin theory.
We first derive these anomalous dimensions by a direct Feynman diagram
calculation, and then show that the result can be exactly reproduced by
analytic bootstrap methods, provided the sum over the tower of weakly broken
higher-spin currents is suitably regularized. Finally, we apply the analytic
bootstrap approach to derive the anomalous dimensions of the double-trace
spinning operators in the 3d bosonic and fermion vector models coupled to
Chern-Simons theory, to leading order in $1/N$ but exactly in the `t Hooft
coupling.
| [
{
"created": "Tue, 24 Jan 2017 17:48:10 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Sep 2017 17:25:54 GMT",
"version": "v2"
}
] | 2017-09-18 | [
[
"Giombi",
"S.",
""
],
[
"Kirilin",
"V.",
""
],
[
"Skvortsov",
"E.",
""
]
] | The Gross-Neveu model defines a unitary CFT of interacting fermions in $2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the epsilon-expansion near two and four dimensions. In each of these descriptions, the CFT has an infinite tower of nearly conserved currents of all spins. We determine the structure of the non-conservation equations both at large $N$ and in the epsilon-expansion, and use it to find the leading order anomalous dimensions of the broken currents. Similarly, we use the fact that the CFT spectrum includes a nearly free fermion to fix the leading anomalous dimensions of a few scalar composite operators. We also compute the scaling dimensions of double-trace spinning operators in the large $N$ expansion, which correspond to interaction energies of two-particle states in the AdS dual higher-spin theory. We first derive these anomalous dimensions by a direct Feynman diagram calculation, and then show that the result can be exactly reproduced by analytic bootstrap methods, provided the sum over the tower of weakly broken higher-spin currents is suitably regularized. Finally, we apply the analytic bootstrap approach to derive the anomalous dimensions of the double-trace spinning operators in the 3d bosonic and fermion vector models coupled to Chern-Simons theory, to leading order in $1/N$ but exactly in the `t Hooft coupling. |
hep-th/9205031 | Marios Petropoulos | Costas Bachas and Marios Petropoulos | Topological Models on the Lattice and a Remark on String Theory Cloning | 14 pages | Commun.Math.Phys. 152 (1993) 191-202 | 10.1007/BF02097063 | CPTH-A158.0392 SPhT/92-038 | hep-th | null | The addition of a topological model to the matter content of a conventional
closed-string theory leads to the appearance of many perturbatively-decoupled
space-time worlds. We illustrate this by classifying topological vertex models
on a triangulated surface. We comment on how such worlds could have been
coupled in the Planck era.
| [
{
"created": "Wed, 13 May 1992 09:49:01 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bachas",
"Costas",
""
],
[
"Petropoulos",
"Marios",
""
]
] | The addition of a topological model to the matter content of a conventional closed-string theory leads to the appearance of many perturbatively-decoupled space-time worlds. We illustrate this by classifying topological vertex models on a triangulated surface. We comment on how such worlds could have been coupled in the Planck era. |
hep-th/9209074 | Misha Dobroliubov | A. Morozov | Pair Correlator in the Itzykson-Zuber Integral | ITEP-M10/92, LATEX file, 5p (minor misprints removed and an updated
reference added) | Mod. Phys. Lett. A7 (1992) 3503-3508 | 10.1142/S0217732392002913 | null | hep-th | null | An explicit expression is suggested for the average
$<U_{ij}U_{kl}^{\dagger}>$ over the unitary group $SU(N)$ with the
Itzykson-Zuber measure $[dU] \exp {\rm tr} \Phi U\Psi U^{\dagger}$
| [
{
"created": "Mon, 21 Sep 1992 18:39:00 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Sep 1992 02:20:00 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Morozov",
"A.",
""
]
] | An explicit expression is suggested for the average $<U_{ij}U_{kl}^{\dagger}>$ over the unitary group $SU(N)$ with the Itzykson-Zuber measure $[dU] \exp {\rm tr} \Phi U\Psi U^{\dagger}$ |
1408.2912 | Yu. M. Zinoviev | Yu. M. Zinoviev | Hypergravity in AdS_3 | 8 pages, no figures. One reference and some comments added. Version
to appear in Phys. Lett. B | Phys. Lett. B739 (2014) 106 | 10.1016/j.physletb.2014.10.041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Thirty years ago Aragone and Deser showed that in three dimensions there
exists a consistent model describing interaction for massless spin-2 and
spin-5/2 fields. It was crucial that these fields lived in a flat Minkowski
space and as a result it was not possible to deform such model into anti-de
Sitter space. In this short note we show that such deformation becomes possible
provided one compliment to the model with massless spin-4 field. Resulting
theory can be considered as a Chern-Simons one with a well-known supergroup
OSp(1,4). Moreover there exists straightforward generalization to the OSp(1,2n)
case containing a number of bosonic fields with even spins 2,4,...,2n and one
fermionic field with spin n+1/2.
| [
{
"created": "Wed, 13 Aug 2014 05:23:55 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Oct 2014 07:21:16 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | Thirty years ago Aragone and Deser showed that in three dimensions there exists a consistent model describing interaction for massless spin-2 and spin-5/2 fields. It was crucial that these fields lived in a flat Minkowski space and as a result it was not possible to deform such model into anti-de Sitter space. In this short note we show that such deformation becomes possible provided one compliment to the model with massless spin-4 field. Resulting theory can be considered as a Chern-Simons one with a well-known supergroup OSp(1,4). Moreover there exists straightforward generalization to the OSp(1,2n) case containing a number of bosonic fields with even spins 2,4,...,2n and one fermionic field with spin n+1/2. |
hep-th/9702017 | Ivan V. Gorbunov | I. V. Gorbunov, S. M. Kuzenko and S. L. Lyakhovich | N=1, D=3 Superanyons, osp(2|2) and the Deformed Heisenberg Algebra | 23 pages, Latex | Phys.Rev.D56:3744-3755,1997 | 10.1103/PhysRevD.56.3744 | QFT-TSU-17/96 | hep-th | null | We introduce N=1 supersymmetric generalization of the mechanical system
describing a particle with fractional spin in D=1+2 dimensions and being
classically equivalent to the formulation based on the Dirac monopole two-form.
The model introduced possesses hidden invariance under N=2 Poincar\'e
supergroup with a central charge saturating the BPS bound. At the classical
level the model admits a Hamiltonian formulation with two first class
constraints on the phase space $T^*(R^{1,2})\times {\cal L}^{1|1}$, where the
K\"ahler supermanifold ${\cal L}^{1|1}\cong OSp(2|2)/U(1|1)$ is a minimal
superextension of the Lobachevsky plane. The model is quantized by combining
the geometric quantization on ${\cal L}^{1|1}$ and the Dirac quantization with
respect to the first class constraints. The constructed quantum theory
describes a supersymmetric doublet of fractional spin particles. The space of
quantum superparticle states with a fixed momentum is embedded into the Fock
space of a deformed harmonic oscillator.
| [
{
"created": "Mon, 3 Feb 1997 08:26:06 GMT",
"version": "v1"
}
] | 2011-08-12 | [
[
"Gorbunov",
"I. V.",
""
],
[
"Kuzenko",
"S. M.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] | We introduce N=1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D=1+2 dimensions and being classically equivalent to the formulation based on the Dirac monopole two-form. The model introduced possesses hidden invariance under N=2 Poincar\'e supergroup with a central charge saturating the BPS bound. At the classical level the model admits a Hamiltonian formulation with two first class constraints on the phase space $T^*(R^{1,2})\times {\cal L}^{1|1}$, where the K\"ahler supermanifold ${\cal L}^{1|1}\cong OSp(2|2)/U(1|1)$ is a minimal superextension of the Lobachevsky plane. The model is quantized by combining the geometric quantization on ${\cal L}^{1|1}$ and the Dirac quantization with respect to the first class constraints. The constructed quantum theory describes a supersymmetric doublet of fractional spin particles. The space of quantum superparticle states with a fixed momentum is embedded into the Fock space of a deformed harmonic oscillator. |
1706.08925 | Timothy Adamo | Tim Adamo, Eduardo Casali, Lionel Mason, Stefan Nekovar | Scattering on plane waves and the double copy | 39 pages, 1 figure. v2: typos corrected, published version | Class.Quant.Grav. 35: 015004, 2018 | 10.1088/1361-6382/aa9961 | IMPERIAL-TP-TA-2017-02, KITP-NSF-ITP-17-083 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Perturbatively around flat space, the scattering amplitudes of gravity are
related to those of Yang-Mills by colour-kinematic duality, under which
gravitational amplitudes are obtained as the 'double copy' of the corresponding
gauge theory amplitudes. We consider the question of how to extend this
relationship to curved scattering backgrounds, focusing on certain 'sandwich'
plane waves. We calculate the 3-point amplitudes on these backgrounds and find
that a notion of double copy remains in the presence of background curvature:
graviton amplitudes on a gravitational plane wave are the double copy of gluon
amplitudes on a gauge field plane wave. This is non-trivial in that it requires
a non-local replacement rule for the background fields and the momenta and
polarization vectors of the fields scattering on the backgrounds. It must also
account for new 'tail' terms arising from scattering off the background. These
encode a memory effect in the scattering amplitudes, which naturally double
copies as well.
| [
{
"created": "Tue, 27 Jun 2017 16:14:40 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2017 11:56:02 GMT",
"version": "v2"
}
] | 2017-12-20 | [
[
"Adamo",
"Tim",
""
],
[
"Casali",
"Eduardo",
""
],
[
"Mason",
"Lionel",
""
],
[
"Nekovar",
"Stefan",
""
]
] | Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang-Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory amplitudes. We consider the question of how to extend this relationship to curved scattering backgrounds, focusing on certain 'sandwich' plane waves. We calculate the 3-point amplitudes on these backgrounds and find that a notion of double copy remains in the presence of background curvature: graviton amplitudes on a gravitational plane wave are the double copy of gluon amplitudes on a gauge field plane wave. This is non-trivial in that it requires a non-local replacement rule for the background fields and the momenta and polarization vectors of the fields scattering on the backgrounds. It must also account for new 'tail' terms arising from scattering off the background. These encode a memory effect in the scattering amplitudes, which naturally double copies as well. |
1212.2572 | Tomas Andrade | Tomas Andrade, Simon F. Ross | Boundary conditions for scalars in Lifshitz | 19 pages, 6 figures, minor typos corrected, references added | null | 10.1088/0264-9381/30/6/065009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the quantisation of scalar fields on a Lifshitz background,
exploring the possibility of alternative boundary conditions, allowing the slow
falloff mode to fluctuate. We show that the scalar field with alternative
boundary conditions is normalizable for a larger range of masses than in the
AdS case. However, we then find a new instability for alternative boundary
conditions, implying that the range of masses where alternative boundary
conditions define a well-behaved dual theory is $m_{BF}^2 < m^2 < m^2_{BF} +1$,
analogously to the AdS case. The instability is of a novel type, with modes of
arbitrarily large momentum which grow exponentially in time; it is therefore
essentially a UV effect, and implies that the dual field theory is simply not
defined where it appears. We discuss the interpretation in the dual field
theory, and give a proposed lower bound on the dimension of scalar operators.
| [
{
"created": "Tue, 11 Dec 2012 18:22:21 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2013 00:23:11 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Andrade",
"Tomas",
""
],
[
"Ross",
"Simon F.",
""
]
] | We consider the quantisation of scalar fields on a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow falloff mode to fluctuate. We show that the scalar field with alternative boundary conditions is normalizable for a larger range of masses than in the AdS case. However, we then find a new instability for alternative boundary conditions, implying that the range of masses where alternative boundary conditions define a well-behaved dual theory is $m_{BF}^2 < m^2 < m^2_{BF} +1$, analogously to the AdS case. The instability is of a novel type, with modes of arbitrarily large momentum which grow exponentially in time; it is therefore essentially a UV effect, and implies that the dual field theory is simply not defined where it appears. We discuss the interpretation in the dual field theory, and give a proposed lower bound on the dimension of scalar operators. |
1801.02822 | Robert de Mello Koch | Shaun de Carvalho, Robert de Mello Koch and Augustine Larweh Mahu | Anomalous dimensions from boson lattice models | 26+1 pages | Phys. Rev. D 97, 126004 (2018) | 10.1103/PhysRevD.97.126004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Operators dual to strings attached to giant graviton branes in
AdS$_5\times$S$^5$ can be described rather explicitly in the dual ${\cal N} =
4$ super Yang-Mills theory. They have a bare dimension of order $N$ so that for
these operators the large $N$ limit and the planar limit are distinct: summing
only the planar diagrams will not capture the large $N$ dynamics. Focusing on
the one-loop $SU(3)$ sector of the theory, we consider operators that are a
small deformation of a ${1\over 2}-$BPS multi-giant graviton state. The
diagonalization of the dilatation operator at one loop has been carried out,
but explicit formulas for the operators of a good scaling dimension are only
known when certain terms which were argued to be small, are neglected. In this
article we include the terms which were neglected. The diagonalization is
achieved by a novel mapping which replaces the problem of diagonalizing the
dilatation operator with a system of bosons hopping on a lattice. The giant
gravitons define the sites of this lattice and the open strings stretching
between distinct giant gravitons define the hopping terms of the Hamiltonian.
Using the lattice boson model, we argue that the lowest energy giant graviton
states are obtained by distributing the momenta carried by the $X$ and $Y$
fields evenly between the giants with the condition that any particular giant
carries only $X$ or $Y$ momenta, but not both.
| [
{
"created": "Tue, 9 Jan 2018 07:03:26 GMT",
"version": "v1"
}
] | 2018-06-20 | [
[
"de Carvalho",
"Shaun",
""
],
[
"Koch",
"Robert de Mello",
""
],
[
"Mahu",
"Augustine Larweh",
""
]
] | Operators dual to strings attached to giant graviton branes in AdS$_5\times$S$^5$ can be described rather explicitly in the dual ${\cal N} = 4$ super Yang-Mills theory. They have a bare dimension of order $N$ so that for these operators the large $N$ limit and the planar limit are distinct: summing only the planar diagrams will not capture the large $N$ dynamics. Focusing on the one-loop $SU(3)$ sector of the theory, we consider operators that are a small deformation of a ${1\over 2}-$BPS multi-giant graviton state. The diagonalization of the dilatation operator at one loop has been carried out, but explicit formulas for the operators of a good scaling dimension are only known when certain terms which were argued to be small, are neglected. In this article we include the terms which were neglected. The diagonalization is achieved by a novel mapping which replaces the problem of diagonalizing the dilatation operator with a system of bosons hopping on a lattice. The giant gravitons define the sites of this lattice and the open strings stretching between distinct giant gravitons define the hopping terms of the Hamiltonian. Using the lattice boson model, we argue that the lowest energy giant graviton states are obtained by distributing the momenta carried by the $X$ and $Y$ fields evenly between the giants with the condition that any particular giant carries only $X$ or $Y$ momenta, but not both. |
hep-th/0611166 | Ashoke Sen | Atish Dabholkar, Norihiro Iizuka, Ashik Iqubal, Ashoke Sen, Masaki
Shigemori | Spinning Strings as Small Black Rings | LaTeX file, 31 pages; v2: references to earlier work added | JHEP 0704:017,2007 | 10.1088/1126-6708/2007/04/017 | TIFR/TH/06-36, NSF-KITP-06-104, CALT-68-2617, HRI-P-06-11-001 | hep-th | null | Certain supersymmetric elementary string states with spin can be viewed as
small black rings whose horizon has the topology of S^1 \times S^{d-3} in a
d-dimensional string theory. By analyzing the singular black ring solution in
the supergravity approximation, and using various symmetries of the \alpha'
corrected effective action we argue that the Bekenstein-Hawking-Wald entropy of
the black string solution in the full string theory agrees with the statistical
entropy of the same system up to an overall normalization constant. While the
normalization constant cannot be determined by the symmetry principles alone,
it can be related to a similar normalization constant that appears in the
expression for small black holes without angular momentum in one less
dimension. Thus agreement between statistical and macroscopic entropy of
(d-1)-dimensional non-rotating elementary string states would imply a similar
agreement for a d-dimensional elementary string state with spin. Our analysis
also determines the structure of the near horizon geometry and provides us with
a geometric derivation of the Regge bound. These studies give further evidence
that a ring-like horizon is formed when large angular momentum is added to a
small black hole.
| [
{
"created": "Wed, 15 Nov 2006 06:23:09 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2006 02:17:53 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Dabholkar",
"Atish",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Iqubal",
"Ashik",
""
],
[
"Sen",
"Ashoke",
""
],
[
"Shigemori",
"Masaki",
""
]
] | Certain supersymmetric elementary string states with spin can be viewed as small black rings whose horizon has the topology of S^1 \times S^{d-3} in a d-dimensional string theory. By analyzing the singular black ring solution in the supergravity approximation, and using various symmetries of the \alpha' corrected effective action we argue that the Bekenstein-Hawking-Wald entropy of the black string solution in the full string theory agrees with the statistical entropy of the same system up to an overall normalization constant. While the normalization constant cannot be determined by the symmetry principles alone, it can be related to a similar normalization constant that appears in the expression for small black holes without angular momentum in one less dimension. Thus agreement between statistical and macroscopic entropy of (d-1)-dimensional non-rotating elementary string states would imply a similar agreement for a d-dimensional elementary string state with spin. Our analysis also determines the structure of the near horizon geometry and provides us with a geometric derivation of the Regge bound. These studies give further evidence that a ring-like horizon is formed when large angular momentum is added to a small black hole. |
hep-th/9112035 | null | Fiorenzo Bastianelli | The Path Integral for a Particle in Curved Spaces and Weyl Anomalies | 15 pages | Nucl.Phys. B376 (1992) 113-128 | 10.1016/0550-3213(92)90070-R | null | hep-th | null | The computation of anomalies in quantum field theory may be carried out by
evaluating path integral Jacobians, as first shown by Fujikawa. The evaluation
of these Jacobians can be cast in the form of a quantum mechanical problem,
whose solution has a path integral representation. For the case of Weyl
anomalies, also called trace anomalies, one is immediately led to study the
path integral for a particle moving in curved spaces. We analyze the latter in
a manifestly covariant way and by making use of ghost fields. The introduction
of the ghost fields allows us to represent the path integral measure in a form
suitable for performing the perturbative expansion. We employ our method to
compute the Hamiltonian associated with the evolution kernel given by the path
integral with fixed boundary conditions, and use this result to evaluate the
trace needed in field theoretic computation of Weyl anomalies in two
dimensions.
| [
{
"created": "Mon, 16 Dec 1991 09:35:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bastianelli",
"Fiorenzo",
""
]
] | The computation of anomalies in quantum field theory may be carried out by evaluating path integral Jacobians, as first shown by Fujikawa. The evaluation of these Jacobians can be cast in the form of a quantum mechanical problem, whose solution has a path integral representation. For the case of Weyl anomalies, also called trace anomalies, one is immediately led to study the path integral for a particle moving in curved spaces. We analyze the latter in a manifestly covariant way and by making use of ghost fields. The introduction of the ghost fields allows us to represent the path integral measure in a form suitable for performing the perturbative expansion. We employ our method to compute the Hamiltonian associated with the evolution kernel given by the path integral with fixed boundary conditions, and use this result to evaluate the trace needed in field theoretic computation of Weyl anomalies in two dimensions. |
hep-th/0007158 | Ashoke Sen | Jaydeep Majumder and Ashoke Sen | Non-BPS D-branes on a Calabi-Yau Orbifold | LaTeX file, 27 pages, epsf | JHEP 0009:047,2000 | 10.1088/1126-6708/2000/09/047 | MRI-P-000704 | hep-th | null | A system containing a pair of non-BPS D-strings of type IIA string theory on
an orbifold, representing a single D2-brane wrapped on a nonsupersymmetric
2-cycle of a Calabi-Yau 3-fold with $(h^{(1,1)},h^{(1,2)})$ = (11,11), is
analyzed. In certain region of the moduli space the configuration is stable. We
show that beyond the region of stability the system can decay into a pair of
non-BPS D3-branes. At one point on the boundary of the region of stability,
there exists a marginal deformation which connects the system of non-BPS
D-strings to the system of non-BPS D3-branes. Across any other point on the
boundary of the region of stability, the transition from the system of non-BPS
D-strings to the system of non-BPS D3-branes is first order. We discuss the
phase diagram in the moduli space for these configurations.
| [
{
"created": "Thu, 20 Jul 2000 16:28:45 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Majumder",
"Jaydeep",
""
],
[
"Sen",
"Ashoke",
""
]
] | A system containing a pair of non-BPS D-strings of type IIA string theory on an orbifold, representing a single D2-brane wrapped on a nonsupersymmetric 2-cycle of a Calabi-Yau 3-fold with $(h^{(1,1)},h^{(1,2)})$ = (11,11), is analyzed. In certain region of the moduli space the configuration is stable. We show that beyond the region of stability the system can decay into a pair of non-BPS D3-branes. At one point on the boundary of the region of stability, there exists a marginal deformation which connects the system of non-BPS D-strings to the system of non-BPS D3-branes. Across any other point on the boundary of the region of stability, the transition from the system of non-BPS D-strings to the system of non-BPS D3-branes is first order. We discuss the phase diagram in the moduli space for these configurations. |
hep-th/0103209 | Itzhak Bars | I. Bars, M.M. Sheikh-Jabbari, M. Vasiliev | Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge
field theories | Latex, 27 pages, 1 figure | Phys.Rev.D64:086004,2001 | 10.1103/PhysRevD.64.086004 | CITUSC/01-008, IC/2001/19, FIAN/TD/08-01 | hep-th | null | The extension of the noncommutative u*(N) Lie algebra to noncommutative
orthogonal and symplectic Lie algebras is studied. Using an anti-automorphism
of the star-matrix algebra, we show that the u*(N) can consistently be
restricted to o*(N) and usp*(N) algebras that have new mathematical structures.
We give explicit fundamental matrix representations of these algebras, through
which the formulation for the corresponding noncommutative gauge field theories
are obtained. In addition, we present a D-brane configuration with an
orientifold which realizes geometrically our algebraic construction, thus
embedding the new noncommutative gauge theories in superstring theory in the
presence of a constant background magnetic field. Some algebraic
generalizations that may have applications in other areas of physics are also
discussed.
| [
{
"created": "Mon, 26 Mar 2001 01:02:51 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Apr 2001 19:42:40 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Bars",
"I.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Vasiliev",
"M.",
""
]
] | The extension of the noncommutative u*(N) Lie algebra to noncommutative orthogonal and symplectic Lie algebras is studied. Using an anti-automorphism of the star-matrix algebra, we show that the u*(N) can consistently be restricted to o*(N) and usp*(N) algebras that have new mathematical structures. We give explicit fundamental matrix representations of these algebras, through which the formulation for the corresponding noncommutative gauge field theories are obtained. In addition, we present a D-brane configuration with an orientifold which realizes geometrically our algebraic construction, thus embedding the new noncommutative gauge theories in superstring theory in the presence of a constant background magnetic field. Some algebraic generalizations that may have applications in other areas of physics are also discussed. |
hep-th/0407179 | Stephen G. Naculich | Stephen G. Naculich and Howard J. Schnitzer | Many roads lead to N=2 Seiberg-Witten theory | 14 pages; based on the talk by H. J. Schnitzer at the Deserfest, Ann
Arbor, Michigan, 3-5 April, 2004; v3: references added | null | null | BRX-TH-545, BOW-PH-132 | hep-th | null | The Seiberg-Witten solution plays a central role in the study of N=2
supersymmetric gauge theories. As such, it provides a proving ground for a wide
variety of techniques to treat such problems. In this review we concentrate on
the role of IIA string theory/M theory and the Dijkgraaf-Vafa matrix model,
though integrable models and microscopic instanton calculations are also of
considerable importance in this subject.
| [
{
"created": "Wed, 21 Jul 2004 19:55:44 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jul 2004 20:15:36 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jul 2004 15:12:34 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Naculich",
"Stephen G.",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] | The Seiberg-Witten solution plays a central role in the study of N=2 supersymmetric gauge theories. As such, it provides a proving ground for a wide variety of techniques to treat such problems. In this review we concentrate on the role of IIA string theory/M theory and the Dijkgraaf-Vafa matrix model, though integrable models and microscopic instanton calculations are also of considerable importance in this subject. |
1106.0126 | Orfeu Bertolami | Orfeu Bertolami, Carlos A. D. Zarro | Ho\v{r}ava-Lifshitz Quantum Cosmology | 27 pages, 7 figures | null | 10.1103/PhysRevD.84.044042 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, a minisuperspace model for the projectable Ho\v{r}ava-Lifshitz
(HL) gravity without the detailed balance condition is investigated. The
Wheeler-deWitt equation is derived and its solutions are studied and discussed
for some particular cases where, due to HL gravity, there is a "potential
barrier" nearby $a=0$. For a vanishing cosmological constant, it is found a
normalizable wave function of the universe. When the cosmological constant is
non-vanishing, the WKB method is used to obtain solutions for the wave function
of the universe. Using the Hamilton-Jacobi equation, one discusses how the
transition from quantum to classical regime occurs and, for the case of a
positive cosmological constant, the scale factor is shown to grow
exponentially, hence recovering the GR behaviour for the late universe.
| [
{
"created": "Wed, 1 Jun 2011 09:23:04 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Bertolami",
"Orfeu",
""
],
[
"Zarro",
"Carlos A. D.",
""
]
] | In this work, a minisuperspace model for the projectable Ho\v{r}ava-Lifshitz (HL) gravity without the detailed balance condition is investigated. The Wheeler-deWitt equation is derived and its solutions are studied and discussed for some particular cases where, due to HL gravity, there is a "potential barrier" nearby $a=0$. For a vanishing cosmological constant, it is found a normalizable wave function of the universe. When the cosmological constant is non-vanishing, the WKB method is used to obtain solutions for the wave function of the universe. Using the Hamilton-Jacobi equation, one discusses how the transition from quantum to classical regime occurs and, for the case of a positive cosmological constant, the scale factor is shown to grow exponentially, hence recovering the GR behaviour for the late universe. |
hep-th/9110043 | N. David Mermin | N. David Mermin (Laboratory of Atomic and Solid State Physics Cornell
University, Ithaca, NY 14853-2501) | Copernican Crystallography | 12 pages [The author apologizes for intruding on this archive, but
suspects that this way of relaxing the definition of a group of
transformations may be familiar to some of you in other contexts. He would
welcome comments.] | Phys.Rev.Lett.68:1172-1175,1992 | 10.1103/PhysRevLett.68.1172 | null | hep-th | null | Redundancies are pointed out in the widely used extension of the
crystallographic concept of Bravais class to quasiperiodic materials. Such
pitfalls can be avoided by abandoning the obsolete paradigm that bases ordinary
crystallography on microscopic periodicity. The broadening of crystallography
to include quasiperiodic materials is accomplished by defining the point group
in terms of indistinguishable (as opposed to identical) densities.
| [
{
"created": "Tue, 15 Oct 1991 17:49:42 GMT",
"version": "v1"
}
] | 2009-01-23 | [
[
"Mermin",
"N. David",
"",
"Laboratory of Atomic and Solid State Physics Cornell\n University, Ithaca, NY 14853-2501"
]
] | Redundancies are pointed out in the widely used extension of the crystallographic concept of Bravais class to quasiperiodic materials. Such pitfalls can be avoided by abandoning the obsolete paradigm that bases ordinary crystallography on microscopic periodicity. The broadening of crystallography to include quasiperiodic materials is accomplished by defining the point group in terms of indistinguishable (as opposed to identical) densities. |
2009.02794 | Md Riajul Haque | Md Riajul Haque, Debaprasad Maity, Pankaj Saha | Two phase reheating: CMB constraints on inflaton and dark matter
phenomenology | 63 pages, 29 figures, An expanded version of this paper arxiv number:
1709.00251 | Phys. Rev. D 102, 083534 (2020) | 10.1103/PhysRevD.102.083534 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a two-phase reheating scenario where the initial preheating
dynamics is described by an effective dynamics followed by the standard
perturbative reheating. Some of the important universal results of lattice
simulation during preheating have been considered as crucial inputs in our
two-phase dynamics. In this framework, detailed phenomenological constraints
have been obtained on the inflaton couplings with reheating fields, and dark
matter parameters in terms of CMB constrained inflationary scalar spectral
index. It is observed that the conventional reheating scenario generically
predicts the maximum reheating temperature $T_{re}^{max} \simeq 10^{15}$ GeV,
corresponding to an almost instantaneous transition from the end of inflation
to radiation domination. This fact will naturally lead to the problem of
non-perturbative inflaton decay, which is in direct conflict with the
perturbative reheating itself. Taking into account this by incorporating
effective non-perturbative dynamics as the initial phase, our model of
two-phase reheating scenarios also predicts model-independent maximum reheating
temperature, which does not correspond to the instantaneous process. Further,
$T_{re}^{max}$ is predicted to lie within $(10^{13}, 10^{10})$ GeV if CMB
constraints on inflaton couplings with different reheating field are taken into
account. We have further studied in detail the dark matter phenomenology in a
model-independent manner and show how dark matter parameter space can be
constrained through CMB parameters via the inflaton spectral index. Considering
dark matter production during reheating via the Freeze-in mechanism, its
parameter space has been observed to be highly constrained by our two-phase
reheating than the constraints predicted by the conventional reheating
scenarios, which are believed to theoretically incomplete.
| [
{
"created": "Sun, 6 Sep 2020 18:22:38 GMT",
"version": "v1"
}
] | 2020-11-05 | [
[
"Haque",
"Md Riajul",
""
],
[
"Maity",
"Debaprasad",
""
],
[
"Saha",
"Pankaj",
""
]
] | We propose a two-phase reheating scenario where the initial preheating dynamics is described by an effective dynamics followed by the standard perturbative reheating. Some of the important universal results of lattice simulation during preheating have been considered as crucial inputs in our two-phase dynamics. In this framework, detailed phenomenological constraints have been obtained on the inflaton couplings with reheating fields, and dark matter parameters in terms of CMB constrained inflationary scalar spectral index. It is observed that the conventional reheating scenario generically predicts the maximum reheating temperature $T_{re}^{max} \simeq 10^{15}$ GeV, corresponding to an almost instantaneous transition from the end of inflation to radiation domination. This fact will naturally lead to the problem of non-perturbative inflaton decay, which is in direct conflict with the perturbative reheating itself. Taking into account this by incorporating effective non-perturbative dynamics as the initial phase, our model of two-phase reheating scenarios also predicts model-independent maximum reheating temperature, which does not correspond to the instantaneous process. Further, $T_{re}^{max}$ is predicted to lie within $(10^{13}, 10^{10})$ GeV if CMB constraints on inflaton couplings with different reheating field are taken into account. We have further studied in detail the dark matter phenomenology in a model-independent manner and show how dark matter parameter space can be constrained through CMB parameters via the inflaton spectral index. Considering dark matter production during reheating via the Freeze-in mechanism, its parameter space has been observed to be highly constrained by our two-phase reheating than the constraints predicted by the conventional reheating scenarios, which are believed to theoretically incomplete. |
hep-th/0007034 | George Tsitsishvili | M. Eliashvili and G. Tsitsishvili | Magnetic Instability in a Parity Invariant 2D Fermion System | 7 pages, RevTex | Int.J.Mod.Phys. B14 (2000) 1441 | 10.1142/S0217979200001345 | null | hep-th cond-mat | null | We consider the parity invariant (2+1)-dimensional QED where the matter is
represented as a mixture of fermions with opposite spins. It is argued that the
perturbative ground state of the system is unstable with respect to the
formation of magnetized ground state. Carrying out the finite temperature
analysis we show that the magnetic instability disappears in the high
temperature regime.
| [
{
"created": "Wed, 5 Jul 2000 11:12:27 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Eliashvili",
"M.",
""
],
[
"Tsitsishvili",
"G.",
""
]
] | We consider the parity invariant (2+1)-dimensional QED where the matter is represented as a mixture of fermions with opposite spins. It is argued that the perturbative ground state of the system is unstable with respect to the formation of magnetized ground state. Carrying out the finite temperature analysis we show that the magnetic instability disappears in the high temperature regime. |
2203.09649 | Carlos Rodriguez | Andr\'e Kaderli, Carlos Rodriguez | Open-string integrals with multiple unintegrated punctures at genus one | 44+39 pages and ancillary file | null | 10.1007/JHEP10(2022)159 | UUITP-14/22 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study integrals appearing in intermediate steps of one-loop open-string
amplitudes, with multiple unintegrated punctures on the $A$-cycle of a torus.
We construct a vector of such integrals which closes after taking a total
differential with respect to the $N$ unintegrated punctures and the modular
parameter $\tau$. These integrals are found to satisfy the elliptic
Knizhnik-Zamolodchikov-Bernard (KZB) equations, and can be written as a power
series in $\alpha$' -- the string length squared -- in terms of elliptic
multiple polylogarithms (eMPLs). In the $N$-puncture case, the KZB equation
reveals a representation of $B_{1,N}$, the braid group of $N$ strands on a
torus, acting on its solutions. We write the simplest of these braid group
elements -- the braiding one puncture around another -- and obtain generating
functions of analytic continuations of eMPLs. The KZB equations in the
so-called universal case is written in terms of the genus-one Drinfeld-Kohno
algebra $\mathfrak{t}_{1,N} \rtimes \mathfrak{d}$, a graded algebra. Our
construction determines matrix representations of various dimensions for
several generators of this algebra which respect its grading up to commuting
terms.
| [
{
"created": "Thu, 17 Mar 2022 23:05:32 GMT",
"version": "v1"
}
] | 2022-11-09 | [
[
"Kaderli",
"André",
""
],
[
"Rodriguez",
"Carlos",
""
]
] | We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the $A$-cycle of a torus. We construct a vector of such integrals which closes after taking a total differential with respect to the $N$ unintegrated punctures and the modular parameter $\tau$. These integrals are found to satisfy the elliptic Knizhnik-Zamolodchikov-Bernard (KZB) equations, and can be written as a power series in $\alpha$' -- the string length squared -- in terms of elliptic multiple polylogarithms (eMPLs). In the $N$-puncture case, the KZB equation reveals a representation of $B_{1,N}$, the braid group of $N$ strands on a torus, acting on its solutions. We write the simplest of these braid group elements -- the braiding one puncture around another -- and obtain generating functions of analytic continuations of eMPLs. The KZB equations in the so-called universal case is written in terms of the genus-one Drinfeld-Kohno algebra $\mathfrak{t}_{1,N} \rtimes \mathfrak{d}$, a graded algebra. Our construction determines matrix representations of various dimensions for several generators of this algebra which respect its grading up to commuting terms. |
hep-th/9906023 | Katsushi Ito | Katsushi Ito | A-D-E Singularity and the Seiberg-Witten Theory | 20 pages, latex2e, Talk at the workshop ``Gauge Theory and Integrable
Models'', YITP, Kyoto, January 26-29,1999 | Prog.Theor.Phys.Suppl.135:94-108,1999 | 10.1143/PTPS.135.94 | YITP-99-31 | hep-th | null | We study the low-energy effective theory of N=2 supersymmetric Yang-Mills
theory with ADE gauge groups in view of the spectral curves of the periodic
Toda lattice and the A-D-E singularity theory. We examine the exact solutions
by using the Picard-Fuchs equations for the period integrals of the
Seiberg-Witten differential. In particular, we find that the superconformal
fixed point in the strong coupling region of the Coulomb branch is
characterized by the ADE superpotential. We compute the scaling exponents,
which agree with the previous results.
| [
{
"created": "Thu, 3 Jun 1999 07:34:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ito",
"Katsushi",
""
]
] | We study the low-energy effective theory of N=2 supersymmetric Yang-Mills theory with ADE gauge groups in view of the spectral curves of the periodic Toda lattice and the A-D-E singularity theory. We examine the exact solutions by using the Picard-Fuchs equations for the period integrals of the Seiberg-Witten differential. In particular, we find that the superconformal fixed point in the strong coupling region of the Coulomb branch is characterized by the ADE superpotential. We compute the scaling exponents, which agree with the previous results. |
hep-th/9702050 | Atish Dabholkar | Atish Dabholkar | Microstates of Non-supersymmetric Black Holes | 11 pages, harvmac, a paragraph about classical non-renormalization in
asymptotically flat co-ordinates and references added | Phys.Lett. B402 (1997) 53-58 | 10.1016/S0370-2693(97)00439-5 | null | hep-th | null | A five-dimensional dyonic black hole in Type-I theory is considered that is
extremal but non-supersymmetric. It is shown that the Bekenstein-Hawking
entropy of this black hole counts precisely the microstates of a D-brane
configuration with the same charges and mass, even though there is no apparent
supersymmetric nonrenormalization theorem for the mass. A similar result is
known for the entropy at the stretched horizon of electrically charged,
extremal, but non-supersymmetric black holes in heterotic string theory. It is
argued that classical nonrenormalization of the mass may partially explain this
result.
| [
{
"created": "Thu, 6 Feb 1997 17:58:59 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 1997 15:01:48 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dabholkar",
"Atish",
""
]
] | A five-dimensional dyonic black hole in Type-I theory is considered that is extremal but non-supersymmetric. It is shown that the Bekenstein-Hawking entropy of this black hole counts precisely the microstates of a D-brane configuration with the same charges and mass, even though there is no apparent supersymmetric nonrenormalization theorem for the mass. A similar result is known for the entropy at the stretched horizon of electrically charged, extremal, but non-supersymmetric black holes in heterotic string theory. It is argued that classical nonrenormalization of the mass may partially explain this result. |
1701.03113 | Vasilis Niarchos | Vasilis Niarchos | Holographic entanglement entropy in open-closed string duality | 6 pages, 2 figures | null | null | DCPT-2017/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study minimal co-dimension-2 surfaces in the asymptotically flat
background of extremal 3-brane solutions in ten-dimensional type IIB
supergravity. A conjectured open-closed string duality combined with the
Ryu-Takayanagi prescription implies that the area of the surfaces we consider
could be interpreted as the entanglement entropy of a dual (3+1)-dimensional
large-N, strongly-coupled open string field theory on D3-branes. As the size of
the surface is varied we observe a transition from a volume law to an area law
in agreement with expectations from non-locality in an open string field
theory. Some of the specifics of this transition bear a qualitative resemblance
with the behaviour of holographic entanglement entropy in non-commutative
super-Yang-Mills theory.
| [
{
"created": "Wed, 11 Jan 2017 19:00:05 GMT",
"version": "v1"
}
] | 2017-01-13 | [
[
"Niarchos",
"Vasilis",
""
]
] | We study minimal co-dimension-2 surfaces in the asymptotically flat background of extremal 3-brane solutions in ten-dimensional type IIB supergravity. A conjectured open-closed string duality combined with the Ryu-Takayanagi prescription implies that the area of the surfaces we consider could be interpreted as the entanglement entropy of a dual (3+1)-dimensional large-N, strongly-coupled open string field theory on D3-branes. As the size of the surface is varied we observe a transition from a volume law to an area law in agreement with expectations from non-locality in an open string field theory. Some of the specifics of this transition bear a qualitative resemblance with the behaviour of holographic entanglement entropy in non-commutative super-Yang-Mills theory. |
1902.00519 | Leonardo Senatore | Paolo Creminelli, Leonardo Senatore, Andr\'as Vasy | Asymptotic Behavior of Cosmologies with $\Lambda >0$ in 2+1 Dimensions | 18 pages, 3 figures; v2: minor corrections, CMP published version | null | 10.1007/s00220-020-03706-3 | null | hep-th astro-ph.CO gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study, using Mean Curvature Flow methods, 2+1 dimensional cosmologies with
a positive cosmological constant and matter satisfying the dominant and the
strong energy conditions. If the spatial slices are compact with non-positive
Euler characteristic and are initially expanding everywhere, then we prove that
the spatial slices reach infinite volume, asymptotically converge on average to
de Sitter and they become, almost everywhere, physically indistinguishable from
de Sitter. This holds true notwithstanding the presence of initial
arbitrarily-large density fluctuations and the formation of black holes.
| [
{
"created": "Fri, 1 Feb 2019 19:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 22:26:47 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"Creminelli",
"Paolo",
""
],
[
"Senatore",
"Leonardo",
""
],
[
"Vasy",
"András",
""
]
] | We study, using Mean Curvature Flow methods, 2+1 dimensional cosmologies with a positive cosmological constant and matter satisfying the dominant and the strong energy conditions. If the spatial slices are compact with non-positive Euler characteristic and are initially expanding everywhere, then we prove that the spatial slices reach infinite volume, asymptotically converge on average to de Sitter and they become, almost everywhere, physically indistinguishable from de Sitter. This holds true notwithstanding the presence of initial arbitrarily-large density fluctuations and the formation of black holes. |
hep-th/0611159 | Joshua Feinberg | V. Bardek, J. Feinberg and S.Meljanac | Collective Field Formulation of the Multispecies Calogero Model and its
Duality Symmetries | latex, 53 pages, no figures;v2-minor changes (a paragraph added
following eq. (61)) | Nucl.Phys.B767:295-326,2007 | 10.1016/j.nuclphysb.2007.01.006 | null | hep-th cond-mat.str-el math-ph math.MP | null | We study the collective field formulation of a restricted form of the
multispecies Calogero model, in which the three-body interactions are set to
zero. We show that the resulting collective field theory is invariant under
certain duality transformations, which interchange, among other things,
particles and antiparticles, and thus generalize the well-known strong-weak
coupling duality symmetry of the ordinary Calogero model. We identify all these
dualities, which form an Abelian group, and study their consequences. We also
study the ground state and small fluctuations around it in detail, starting
with the two-species model, and then generalizing to an arbitrary number of
species.
| [
{
"created": "Tue, 14 Nov 2006 21:45:25 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Dec 2006 06:37:28 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bardek",
"V.",
""
],
[
"Feinberg",
"J.",
""
],
[
"Meljanac",
"S.",
""
]
] | We study the collective field formulation of a restricted form of the multispecies Calogero model, in which the three-body interactions are set to zero. We show that the resulting collective field theory is invariant under certain duality transformations, which interchange, among other things, particles and antiparticles, and thus generalize the well-known strong-weak coupling duality symmetry of the ordinary Calogero model. We identify all these dualities, which form an Abelian group, and study their consequences. We also study the ground state and small fluctuations around it in detail, starting with the two-species model, and then generalizing to an arbitrary number of species. |
1009.1192 | Kazuki Hasebe | Kazuki Hasebe | Hopf Maps, Lowest Landau Level, and Fuzzy Spheres | v2: note and references added; v3: references added | SIGMA 6 (2010), 071, 42 pages | 10.3842/SIGMA.2010.071 | null | hep-th cond-mat.mes-hall math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and
their mutual relations. The Hopf maps of division algebras provide a prototype
relation between monopoles and fuzzy spheres. Generalization of complex numbers
to Clifford algebra is exactly analogous to generalization of fuzzy two-spheres
to higher dimensional fuzzy spheres. Higher dimensional fuzzy spheres have an
interesting hierarchical structure made of "compounds" of lower dimensional
spheres. We give a physical interpretation for such particular structure of
fuzzy spheres by utilizing Landau models in generic even dimensions. With
Grassmann algebra, we also introduce a graded version of the Hopf map, and
discuss its relation to fuzzy supersphere in context of supersymmetric Landau
model.
| [
{
"created": "Tue, 7 Sep 2010 04:49:56 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 2010 10:04:57 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Oct 2010 17:04:38 GMT",
"version": "v3"
}
] | 2010-10-13 | [
[
"Hasebe",
"Kazuki",
""
]
] | This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres. Generalization of complex numbers to Clifford algebra is exactly analogous to generalization of fuzzy two-spheres to higher dimensional fuzzy spheres. Higher dimensional fuzzy spheres have an interesting hierarchical structure made of "compounds" of lower dimensional spheres. We give a physical interpretation for such particular structure of fuzzy spheres by utilizing Landau models in generic even dimensions. With Grassmann algebra, we also introduce a graded version of the Hopf map, and discuss its relation to fuzzy supersphere in context of supersymmetric Landau model. |
hep-th/0102055 | Max Chaves | M. Chaves | An introduction to generalized Yang-Mills theories | 37 p., AMSLaTeX, Lectures, Summer School in Theoretical Physics,
Zacatecas, August 2000. A few typos have been corrected | Hadronic J.Suppl. 17 (2002) 3-51 | null | null | hep-th | null | In generalized Yang-Mills theories scalar fields can be gauged just as vector
fields in a usual Yang-Mills theory, albeit it is done in the spinorial
representation. The presentation of these theories is aesthetic in the
following sense: A physical theory using Yang-Mills theories requires several
terms and irreducible representations, but with generalized Yang-Mills
theories, only two terms and two irreducible representations are required.
These theories are constructed based upon the maximal subgroups of the gauge
Lie group. The two terms of the lagrangian are the kinetic energy of fermions
and of bosons. A brief review of Yang-Mills theories and covariant derivatives
is given, then generalized Yang-Mills theories are defined through a
generalization of the covariant derivative. Two examples are given, one
pertaining the Glashow-Weinberg-Salam model and another SU(5) grand
unification. The first is based upon a $U(3)\supset U(1)\times U(1)\times
SU(2)$ generalized Yang-Mills theory, and the second upon a $SU(6)\supset
U(1)\times SU(5)$ theory. The possibility of expressing generalized Yang-Mills
theories using a five-dimensional formalism is also studied. The situation is
unclear in this case. At the end a list of comments and criticisms is given.
| [
{
"created": "Fri, 9 Feb 2001 15:30:04 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jan 2003 01:19:32 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chaves",
"M.",
""
]
] | In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A physical theory using Yang-Mills theories requires several terms and irreducible representations, but with generalized Yang-Mills theories, only two terms and two irreducible representations are required. These theories are constructed based upon the maximal subgroups of the gauge Lie group. The two terms of the lagrangian are the kinetic energy of fermions and of bosons. A brief review of Yang-Mills theories and covariant derivatives is given, then generalized Yang-Mills theories are defined through a generalization of the covariant derivative. Two examples are given, one pertaining the Glashow-Weinberg-Salam model and another SU(5) grand unification. The first is based upon a $U(3)\supset U(1)\times U(1)\times SU(2)$ generalized Yang-Mills theory, and the second upon a $SU(6)\supset U(1)\times SU(5)$ theory. The possibility of expressing generalized Yang-Mills theories using a five-dimensional formalism is also studied. The situation is unclear in this case. At the end a list of comments and criticisms is given. |
1908.01303 | Mohammad Ali-Akbari | Mahsa Lezgi, Mohammad Ali-Akbari | A note on holographic subregion complexity and QCD phase transition | 8 pages, 4 figures | Phys. Rev. D 101, 026022 (2020) | 10.1103/PhysRevD.101.026022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using holographic subregion complexity, we study the
confinement-deconfinement phase transition of quantum chromodynamics. In the
model we consider here, we observe a connection between the potential energy of
probe meson and the behavior of its complexity. Moreover, near the critical
point, at which the phase transition takes place, our numerical calculations
indicate that we need less information to specify a meson in the non-conformal
vacuum than in the conformal one, despite the fact that the non-conformal
vacuum has larger energy!
| [
{
"created": "Sun, 4 Aug 2019 09:39:43 GMT",
"version": "v1"
}
] | 2020-02-05 | [
[
"Lezgi",
"Mahsa",
""
],
[
"Ali-Akbari",
"Mohammad",
""
]
] | Using holographic subregion complexity, we study the confinement-deconfinement phase transition of quantum chromodynamics. In the model we consider here, we observe a connection between the potential energy of probe meson and the behavior of its complexity. Moreover, near the critical point, at which the phase transition takes place, our numerical calculations indicate that we need less information to specify a meson in the non-conformal vacuum than in the conformal one, despite the fact that the non-conformal vacuum has larger energy! |
hep-th/0003270 | A. Demichev | M. Chaichian, A. Demichev and P. Presnajder | Field Theory on Noncommutative Space-Time and the Deformed Virasoro
Algebra | 19 pages, plain LaTeX; the abstract has been revised and a few
clarifying comments have been added | null | null | HIP-2000-08/TH | hep-th | null | We consider a field theoretical model on the noncommutative cylinder which
leads to a discrete-time evolution. Its Euclidean version is shown to be
equivalent to a model on the complex $q$-plane. We reveal a direct link between
the model on a noncommutative cylinder and the deformed Virasoro algebra
constructed earlier on an abstract mathematical background. As it was shown,
the deformed Virasoro generators necessarily carry a second index (in addition
to the usual one), whose meaning, however, remained unknown. The present field
theoretical approach allows one to ascribe a clear meaning to this second
index: its origin is related to the noncommutativity of the underlying
space-time. The problems with the supersymmetric extension of the model on a
noncommutative super-space are briefly discussed.
| [
{
"created": "Wed, 29 Mar 2000 11:50:13 GMT",
"version": "v1"
},
{
"created": "Sat, 20 May 2000 18:25:15 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chaichian",
"M.",
""
],
[
"Demichev",
"A.",
""
],
[
"Presnajder",
"P.",
""
]
] | We consider a field theoretical model on the noncommutative cylinder which leads to a discrete-time evolution. Its Euclidean version is shown to be equivalent to a model on the complex $q$-plane. We reveal a direct link between the model on a noncommutative cylinder and the deformed Virasoro algebra constructed earlier on an abstract mathematical background. As it was shown, the deformed Virasoro generators necessarily carry a second index (in addition to the usual one), whose meaning, however, remained unknown. The present field theoretical approach allows one to ascribe a clear meaning to this second index: its origin is related to the noncommutativity of the underlying space-time. The problems with the supersymmetric extension of the model on a noncommutative super-space are briefly discussed. |
hep-th/9708032 | Sadhan Kumar Adhikari | C. F. de Araujo, Jr., L. Tomio, S. K. Adhikari and T. Frederico | Application of Renormalization to Potential Scattering | 15 pages plus 5 figures | J.Phys.A30:4687-4700,1997 | 10.1088/0305-4470/30/13/020 | null | hep-th | null | A recently proposed renormalization scheme can be used to deal with
nonrelativistic potential scattering exhibiting ultraviolet divergence in
momentum space. A numerical application of this scheme is made in the case of
potential scattering with $r^{-2}$ divergence for small r, common in molecular
and nuclear physics, by the use of cut-offs in momentum and configuration
spaces. The cut-off is finally removed in terms of a physical observable and
model-independent result is obtained at low energies. The expected variation of
the off-shell behavior of the t matrix arising from the renormalization scheme
is also discussed.
| [
{
"created": "Wed, 6 Aug 1997 15:45:27 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Araujo,",
"C. F. de",
"Jr."
],
[
"Tomio",
"L.",
""
],
[
"Adhikari",
"S. K.",
""
],
[
"Frederico",
"T.",
""
]
] | A recently proposed renormalization scheme can be used to deal with nonrelativistic potential scattering exhibiting ultraviolet divergence in momentum space. A numerical application of this scheme is made in the case of potential scattering with $r^{-2}$ divergence for small r, common in molecular and nuclear physics, by the use of cut-offs in momentum and configuration spaces. The cut-off is finally removed in terms of a physical observable and model-independent result is obtained at low energies. The expected variation of the off-shell behavior of the t matrix arising from the renormalization scheme is also discussed. |
2007.04969 | Luigi Alfonsi | Luigi Alfonsi | The puzzle of global Double Field Theory: open problems and the case for
a Higher Kaluza-Klein perspective | 62 pages, 1 figure, 2 tables; improved review of doubled-yet-gauged
space, added references | Fortschr. Phys. 2021, 2000102 | 10.1002/prop.202000102 | QMUL-PH-20-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The history of the geometry of Double Field Theory is the history of string
theorists' effort to tame higher geometric structures. In this spirit, the
first part of this paper will contain a brief overview on the literature of
geometry of DFT, focusing on the attempts of a global description. In
arXiv:1912.07089 [hep-th] we proposed that the global doubled space is not a
manifold, but the total space of a bundle gerbe. This would mean that DFT is a
field theory on a bundle gerbe, in analogy with ordinary Kaluza-Klein Theory
being a field theory on a principal bundle. In this paper we make the original
construction by arXiv:1912.07089 [hep-th] significantly more immediate. This is
achieved by introducing an atlas for the bundle gerbe. This atlas is naturally
equipped with $2d$-dimensional local charts, where $d$ is the dimension of
physical spacetime. We argue that the local charts of this atlas should be
identified with the usual coordinate description of DFT. In the last part we
will discuss aspects of the global geometry of tensor hierarchies in this
bundle gerbe picture. This allows to identify their global non-geometric
properties and explain how the picture of non-abelian String-bundles emerges.
We interpret the abelian T-fold and the Poisson-Lie T-fold as global tensor
hierarchies.
| [
{
"created": "Thu, 9 Jul 2020 17:57:15 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 16:43:52 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Sep 2020 14:31:29 GMT",
"version": "v3"
}
] | 2021-05-24 | [
[
"Alfonsi",
"Luigi",
""
]
] | The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of DFT, focusing on the attempts of a global description. In arXiv:1912.07089 [hep-th] we proposed that the global doubled space is not a manifold, but the total space of a bundle gerbe. This would mean that DFT is a field theory on a bundle gerbe, in analogy with ordinary Kaluza-Klein Theory being a field theory on a principal bundle. In this paper we make the original construction by arXiv:1912.07089 [hep-th] significantly more immediate. This is achieved by introducing an atlas for the bundle gerbe. This atlas is naturally equipped with $2d$-dimensional local charts, where $d$ is the dimension of physical spacetime. We argue that the local charts of this atlas should be identified with the usual coordinate description of DFT. In the last part we will discuss aspects of the global geometry of tensor hierarchies in this bundle gerbe picture. This allows to identify their global non-geometric properties and explain how the picture of non-abelian String-bundles emerges. We interpret the abelian T-fold and the Poisson-Lie T-fold as global tensor hierarchies. |
hep-th/0011215 | C. M. Hull | C.M. Hull | Symmetries and Compactifications of (4,0) Conformal Gravity | 37 pages | JHEP 0012:007,2000 | 10.1088/1126-6708/2000/12/007 | QMW-00-12, IHP-2000/05 | hep-th | null | The free (4,0) superconformal theory in 6 dimensions and its toroidal
dimensional reductions are studied. The reduction to four dimensions on a
2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the
linearised gravity sector, interchanging the linearised Einstein equations and
Bianchi identities and giving a self-duality between strong and weak coupling
regimes. The possibility of this extending to an interacting form of the theory
is discussed and implications for the non-geometric picture of gravity that
could emerge are considered.
| [
{
"created": "Thu, 23 Nov 2000 18:41:13 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Hull",
"C. M.",
""
]
] | The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the linearised gravity sector, interchanging the linearised Einstein equations and Bianchi identities and giving a self-duality between strong and weak coupling regimes. The possibility of this extending to an interacting form of the theory is discussed and implications for the non-geometric picture of gravity that could emerge are considered. |
hep-th/0405257 | Jorgen Rasmussen | Jorgen Rasmussen | Logarithmic limits of minimal models | 15 pages, LaTeX, v2: version to be published | Nucl.Phys.B701:516-528,2004 | 10.1016/j.nuclphysb.2004.08.047 | null | hep-th | null | It is discussed how a limiting procedure of (super)conformal field theories
may result in logarithmic (super)conformal field theories. The construction is
illustrated by logarithmic limits of (unitary) minimal models in conformal
field theory and in N=1 superconformal field theory.
| [
{
"created": "Thu, 27 May 2004 17:36:15 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2004 14:55:47 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Rasmussen",
"Jorgen",
""
]
] | It is discussed how a limiting procedure of (super)conformal field theories may result in logarithmic (super)conformal field theories. The construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory and in N=1 superconformal field theory. |
1406.6977 | Zaq Carson | Zaq Carson, Samir D. Mathur, David Turton | Bogoliubov coefficients for the twist operator in the D1D5 CFT | 51 pages, 2 figures | Nucl.Phys. B889 (2014) 443 | 10.1016/j.nuclphysb.2014.10.018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The D1D5 CFT is a holographic dual of a near-extremal black hole in string
theory. The interaction in this theory involves a twist operator which joins
together different copies of a free CFT. Given a large number of D1 and D5
branes, the effective length of the circle on which the CFT lives is very
large. We develop a technique to study the effect of the twist operator in the
limit where the wavelengths of excitations are short compared to this effective
length, which we call the 'continuum limit'. The method uses Bogoliubov
coefficients to compute the effect of the twist operator in this limit. For
bosonic fields, we use the method to reproduce recent results describing the
effect of the twist operator when it links together CFT copies with windings M
and N, producing a copy of winding M+N. We also comment on possible
generalizations of our results. The methods developed here may help in
understanding the twist interaction at higher orders. This in turn should
provide insight into the thermalization process in the D1D5 CFT, which gives a
holographic description of black hole formation.
| [
{
"created": "Thu, 26 Jun 2014 18:49:47 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Carson",
"Zaq",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Turton",
"David",
""
]
] | The D1D5 CFT is a holographic dual of a near-extremal black hole in string theory. The interaction in this theory involves a twist operator which joins together different copies of a free CFT. Given a large number of D1 and D5 branes, the effective length of the circle on which the CFT lives is very large. We develop a technique to study the effect of the twist operator in the limit where the wavelengths of excitations are short compared to this effective length, which we call the 'continuum limit'. The method uses Bogoliubov coefficients to compute the effect of the twist operator in this limit. For bosonic fields, we use the method to reproduce recent results describing the effect of the twist operator when it links together CFT copies with windings M and N, producing a copy of winding M+N. We also comment on possible generalizations of our results. The methods developed here may help in understanding the twist interaction at higher orders. This in turn should provide insight into the thermalization process in the D1D5 CFT, which gives a holographic description of black hole formation. |
1905.06861 | James T. Liu | James T. Liu, and Brian McPeak | Gauged Supergravity from the Lunin-Maldacena background | 13 pages, references added | null | 10.1007/JHEP01(2020)177 | LCTP-19-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to expand the Lunin-Maldacena solution to the full bosonic sector
of gauged $\mathcal N=2$ supergravity. In particular, we construct a consistent
truncation of IIB supergravity on a $\beta$-deformed $\mathrm{AdS}_5\times S^5$
background retaining a dynamical metric and graviphoton in five dimensions. We
comment on the relation between this solution and similar constructions on
Sasaki-Einstein manifolds, as well as the possibility of further consistent
truncations which generalize the Lunin-Maldacena solution.
| [
{
"created": "Thu, 16 May 2019 15:42:50 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2019 18:02:55 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Liu",
"James T.",
""
],
[
"McPeak",
"Brian",
""
]
] | We show how to expand the Lunin-Maldacena solution to the full bosonic sector of gauged $\mathcal N=2$ supergravity. In particular, we construct a consistent truncation of IIB supergravity on a $\beta$-deformed $\mathrm{AdS}_5\times S^5$ background retaining a dynamical metric and graviphoton in five dimensions. We comment on the relation between this solution and similar constructions on Sasaki-Einstein manifolds, as well as the possibility of further consistent truncations which generalize the Lunin-Maldacena solution. |
2010.12966 | Richard MacKenzie | Jorge Gamboa, Richard MacKenzie, Fernando M\'endez | Gravitons in the Strong-Coupling Regime | 7 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of gravity in the strong-coupling regime, the propagation
amplitude of gravity coupled to relativistic particles undergoing geodesic
separation is calculated exactly. Geodesic separation gives rise to boundary
terms associated with the h_\times and h_+ graviton components. At low
temperatures the propagation amplitude vanishes, implying no graviton
propagation in this regime.
| [
{
"created": "Sat, 24 Oct 2020 19:44:24 GMT",
"version": "v1"
}
] | 2020-10-27 | [
[
"Gamboa",
"Jorge",
""
],
[
"MacKenzie",
"Richard",
""
],
[
"Méndez",
"Fernando",
""
]
] | In the context of gravity in the strong-coupling regime, the propagation amplitude of gravity coupled to relativistic particles undergoing geodesic separation is calculated exactly. Geodesic separation gives rise to boundary terms associated with the h_\times and h_+ graviton components. At low temperatures the propagation amplitude vanishes, implying no graviton propagation in this regime. |
hep-th/0109017 | Massimo Porrati | Massimo Porrati | Mass and Gauge Invariance IV (Holography for the Karch-Randall Model) | 26 pages, uses package latexsym. Note added in proof | Phys.Rev. D65 (2002) 044015 | 10.1103/PhysRevD.65.044015 | NYU-TH/01/08/02 | hep-th | null | We argue that the Karch-Randall compactification is holographically dual to a
4-d conformal field theory coupled to gravity on Anti de Sitter space. Using
this interpretation we recover the mass spectrum of the model. In particular,
we find no massless spin-2 states. By giving a purely 4-d interpretation to the
compactification we make clear that it represents the first example of a local
4-d field theory in which general covariance does not imply the existence of a
massless graviton. We also discuss some variations of the Karch-Randall model
discussed in the literature, and we examine whether its properties are generic
to all conformal field theory.
| [
{
"created": "Tue, 4 Sep 2001 22:00:30 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2001 18:07:20 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Dec 2001 01:04:36 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Porrati",
"Massimo",
""
]
] | We argue that the Karch-Randall compactification is holographically dual to a 4-d conformal field theory coupled to gravity on Anti de Sitter space. Using this interpretation we recover the mass spectrum of the model. In particular, we find no massless spin-2 states. By giving a purely 4-d interpretation to the compactification we make clear that it represents the first example of a local 4-d field theory in which general covariance does not imply the existence of a massless graviton. We also discuss some variations of the Karch-Randall model discussed in the literature, and we examine whether its properties are generic to all conformal field theory. |
hep-th/9402131 | Herbert Hamber | Marco Vekic, Shao Liu (UC Irvine) and Herbert W. Hamber (CERN) | Dynamically Triangulated Ising Spins in Flat Space | (10 pages + 4 figures), CERN-Th-7577/94 | Phys.Lett. B329 (1994) 444-449 | 10.1016/0370-2693(94)91088-X | null | hep-th | null | A model describing Ising spins with short range interactions moving randomly
in a plane is considered. In the presence of a hard core repulsion, which
prevents the Ising spins from overlapping, the model is analogous to a
dynamically triangulated Ising model with spins constrained to move on a flat
surface. It is found that as a function of coupling strength and hard core
repulsion the model exhibits multicritical behavior, with first and second
order transition lines terminating at a tricritical point. The thermal and
magnetic exponents computed at the tricritical point are consistent with the
exact two-matrix model solution of the random Ising model, introduced
previously to describe the effects of fluctuating geometries.
| [
{
"created": "Wed, 23 Feb 1994 16:50:30 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Vekic",
"Marco",
"",
"UC Irvine"
],
[
"Liu",
"Shao",
"",
"UC Irvine"
],
[
"Hamber",
"Herbert W.",
"",
"CERN"
]
] | A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically triangulated Ising model with spins constrained to move on a flat surface. It is found that as a function of coupling strength and hard core repulsion the model exhibits multicritical behavior, with first and second order transition lines terminating at a tricritical point. The thermal and magnetic exponents computed at the tricritical point are consistent with the exact two-matrix model solution of the random Ising model, introduced previously to describe the effects of fluctuating geometries. |
hep-th/9305043 | Jean-Loup Gervais | Jean-Loup Gervais, Jens Schnittger | The Braiding of Chiral Vertex Operators with Continuous Spins in 2D
Gravity | (14 pages, Latex file) preprint LPTENS-93/19 | Phys.Lett. B315 (1993) 258-266 | 10.1016/0370-2693(93)91610-Y | null | hep-th | null | Chiral vertex-operators are defined for continuous quantum-group spins $J$
from free-field realizations of the Coulomb-gas type. It is shown that these
generalized chiral vertex operators satisfy closed braiding relations on the
unit circle, which are given by an extension in terms of orthogonal polynomials
of the braiding matrix recently derived by Cremmer, Gervais and Roussel. This
leads to a natural extension of the Liouville exponentials to continuous powers
that remain local.
| [
{
"created": "Tue, 11 May 1993 13:37:06 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gervais",
"Jean-Loup",
""
],
[
"Schnittger",
"Jens",
""
]
] | Chiral vertex-operators are defined for continuous quantum-group spins $J$ from free-field realizations of the Coulomb-gas type. It is shown that these generalized chiral vertex operators satisfy closed braiding relations on the unit circle, which are given by an extension in terms of orthogonal polynomials of the braiding matrix recently derived by Cremmer, Gervais and Roussel. This leads to a natural extension of the Liouville exponentials to continuous powers that remain local. |
1011.4655 | Masato Minamitsuji | Seoktae Koh and Masato Minamitsuji | Non-minimally coupled hybrid inflation | 34 pages and 9 figures, references and comments added, the journal
version (PRD) | Phys.Rev.D83:046009,2011 | 10.1103/PhysRevD.83.046009 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the hybrid inflation model where the inflaton field is
nonminimally coupled to gravity. In the Jordan frame, the potential contains
$\phi^4$ term as well as terms in the original hybrid inflation model. In our
model, inflation can be classified into the type (I) and the type (II). In the
type (I), inflation is terminated by the tachyonic instability of the waterfall
field, while in the type (II) by the violation of slow-roll conditions. In our
model, the reheating takes place only at the true minimum and even in the case
(II) finally the tachyonic instability occurs after the termination of
inflation. For a negative nonminimal coupling, inflation takes place in the
vacuum-dominated region, in the large field region, or near the local
minimum/maximum. Inflation in the vacuum dominated region becomes either the
type (I) or (II), resulting in blue or red spectrum of the curvature
perturbations, respectively. Inflation around the local maximum can be either
the type (I) or the type (II), which results in the red spectrum of the
curvature perturbations, while it around the local minimum must be the type
(I), which results in the blue spectrum. In the large field region, to
terminate inflation, potential in the Einstein frame must be positively tilted,
always resulting in the red spectrum. We then numerically solve the equations
of motion to investigate the whole dynamics of inflaton and confirm that the
spectrum of curvature perturbations changes from red to blue ones as scales
become smaller.
| [
{
"created": "Sun, 21 Nov 2010 12:00:47 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Nov 2010 07:50:11 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Feb 2011 08:10:49 GMT",
"version": "v3"
}
] | 2011-02-22 | [
[
"Koh",
"Seoktae",
""
],
[
"Minamitsuji",
"Masato",
""
]
] | We discuss the hybrid inflation model where the inflaton field is nonminimally coupled to gravity. In the Jordan frame, the potential contains $\phi^4$ term as well as terms in the original hybrid inflation model. In our model, inflation can be classified into the type (I) and the type (II). In the type (I), inflation is terminated by the tachyonic instability of the waterfall field, while in the type (II) by the violation of slow-roll conditions. In our model, the reheating takes place only at the true minimum and even in the case (II) finally the tachyonic instability occurs after the termination of inflation. For a negative nonminimal coupling, inflation takes place in the vacuum-dominated region, in the large field region, or near the local minimum/maximum. Inflation in the vacuum dominated region becomes either the type (I) or (II), resulting in blue or red spectrum of the curvature perturbations, respectively. Inflation around the local maximum can be either the type (I) or the type (II), which results in the red spectrum of the curvature perturbations, while it around the local minimum must be the type (I), which results in the blue spectrum. In the large field region, to terminate inflation, potential in the Einstein frame must be positively tilted, always resulting in the red spectrum. We then numerically solve the equations of motion to investigate the whole dynamics of inflaton and confirm that the spectrum of curvature perturbations changes from red to blue ones as scales become smaller. |
2106.13768 | Ariel Edery | Ariel Edery | Wave packets in QFT: leading order width corrections to decay rates and
clock behaviour under Lorentz boosts | 15 pages | null | 10.1103/PhysRevD.104.125015 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Decay rates in quantum field theory (QFT) are typically calculated assuming
the particles are represented by momentum eigenstates (i.e. plane waves).
However, strictly speaking, localized free particles should be represented by
wave packets. This yields width corrections to the decay rate and to the clock
behaviour under Lorentz boosts. We calculate the decay rate of a particle of
mass $M$ modeled as a Gaussian wavepacket of width $a$ and centered at zero
momentum. We find the decay rate to be $\Gamma_0 \big[1- \frac{3 a^2}{4 M^2}
+\mathcal{O}\big(\tfrac{a^4}{M^4}\big)\big]$ where $\Gamma_0$ is the decay rate
of the particle at rest treated as a plane wave. The leading correction is then
of order $\tfrac{a^2}{M^2}$. We then perform a Lorentz boost of velocity $v$ on
the above Gaussian and find that its decay rate does not decrease
\textit{exactly} by the Lorentz factor $\sqrt{1-v^2}$. There is a correction of
order $\tfrac{a^2v^2}{M^2}$. Therefore, the decaying wave packet does not act
exactly like a typical clock under Lorentz boosts and we refer to it is a "WP
clock" (wave packet clock). A WP clock does not move with a single velocity
relative to an observer but has a spread in velocities (more specifically, a
spread in momenta). Nonetheless, it is best viewed as a single clock as the
wave packet represents a one-particle state in QFT. WP clocks do not violate
Lorentz symmetry and are not based on new physics: they are a consequence of
the combined requirements of special relativity, quantum mechanics and
\textit{localized} free particles.
| [
{
"created": "Fri, 25 Jun 2021 17:08:49 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Edery",
"Ariel",
""
]
] | Decay rates in quantum field theory (QFT) are typically calculated assuming the particles are represented by momentum eigenstates (i.e. plane waves). However, strictly speaking, localized free particles should be represented by wave packets. This yields width corrections to the decay rate and to the clock behaviour under Lorentz boosts. We calculate the decay rate of a particle of mass $M$ modeled as a Gaussian wavepacket of width $a$ and centered at zero momentum. We find the decay rate to be $\Gamma_0 \big[1- \frac{3 a^2}{4 M^2} +\mathcal{O}\big(\tfrac{a^4}{M^4}\big)\big]$ where $\Gamma_0$ is the decay rate of the particle at rest treated as a plane wave. The leading correction is then of order $\tfrac{a^2}{M^2}$. We then perform a Lorentz boost of velocity $v$ on the above Gaussian and find that its decay rate does not decrease \textit{exactly} by the Lorentz factor $\sqrt{1-v^2}$. There is a correction of order $\tfrac{a^2v^2}{M^2}$. Therefore, the decaying wave packet does not act exactly like a typical clock under Lorentz boosts and we refer to it is a "WP clock" (wave packet clock). A WP clock does not move with a single velocity relative to an observer but has a spread in velocities (more specifically, a spread in momenta). Nonetheless, it is best viewed as a single clock as the wave packet represents a one-particle state in QFT. WP clocks do not violate Lorentz symmetry and are not based on new physics: they are a consequence of the combined requirements of special relativity, quantum mechanics and \textit{localized} free particles. |
2301.07059 | Michael Stone | Michael Stone, JiYoung Kim, Porter Howland | Understanding the chiral and parity anomalies without Feynman diagrams | 50 pages, Latex | null | null | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the construction of the adiabatic expansion for Bose and Fermi
systems and show how it may be used to explore the chiral and parity anomalies
for Dirac fermions without the need to compute Feynman diagrams.
| [
{
"created": "Tue, 17 Jan 2023 18:19:56 GMT",
"version": "v1"
}
] | 2023-01-19 | [
[
"Stone",
"Michael",
""
],
[
"Kim",
"JiYoung",
""
],
[
"Howland",
"Porter",
""
]
] | We review the construction of the adiabatic expansion for Bose and Fermi systems and show how it may be used to explore the chiral and parity anomalies for Dirac fermions without the need to compute Feynman diagrams. |
1908.11371 | Renann Jusinskas | Thales Azevedo, Renann Lipinski Jusinskas, Matheus Lize | Bosonic sectorized strings and the $(DF)^{2}$ theory | 24 pages + appendix; v2: improved notation; v3: minor modifications,
published version | JHEP01(2020)082 | 10.1007/JHEP01(2020)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate the bosonic chiral string in the sectorized
interpretation, computing its spectrum, kinetic action and $3$-point
amplitudes. As expected, the bosonic ambitwistor string is recovered in the
tensionless limit.
We also consider an extension of the bosonic model with current algebras. In
that case, we compute the effective action and show that it is essentially the
same as the action of the mass-deformed $(DF)^{2}$ theory found by Johansson
and Nohle. Aspects which might seem somewhat contrived in the original
construction --- such as the inclusion of a scalar transforming in some real
representation of the gauge group --- are shown to follow very naturally from
the worldsheet formulation of the theory.
| [
{
"created": "Thu, 29 Aug 2019 17:58:02 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 2019 16:27:07 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jan 2020 20:46:29 GMT",
"version": "v3"
}
] | 2020-01-17 | [
[
"Azevedo",
"Thales",
""
],
[
"Jusinskas",
"Renann Lipinski",
""
],
[
"Lize",
"Matheus",
""
]
] | In this work, we investigate the bosonic chiral string in the sectorized interpretation, computing its spectrum, kinetic action and $3$-point amplitudes. As expected, the bosonic ambitwistor string is recovered in the tensionless limit. We also consider an extension of the bosonic model with current algebras. In that case, we compute the effective action and show that it is essentially the same as the action of the mass-deformed $(DF)^{2}$ theory found by Johansson and Nohle. Aspects which might seem somewhat contrived in the original construction --- such as the inclusion of a scalar transforming in some real representation of the gauge group --- are shown to follow very naturally from the worldsheet formulation of the theory. |
hep-th/9705243 | Roya Mohayaee | Roya Mohayaee | The phases of two-dimensional QED and QCD | Latex file, 11 pages. Talk presented at the 1st Caribean workshop on
quantum mechanics, particles and fields, Havana, Cuba 24-28 March 1997 | null | null | null | hep-th | null | The semi-classical phase structure of two-dimensional QED and QCD are briefly
reviewed. The non-abelian theory is reformulated to closely resemble the
Schwinger model. It is shown that, contrary to the abelian theory, the phase
structure of two-dimensional QCD is unaffected by the structure of the theta
vacuum. We make parallel calculations in the two theories and conclude that
massless Schwinger model is in the screening and the massive theory is in the
confining phase, whereas both massless and massive QCD are in the screening
phase.
| [
{
"created": "Fri, 30 May 1997 22:21:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mohayaee",
"Roya",
""
]
] | The semi-classical phase structure of two-dimensional QED and QCD are briefly reviewed. The non-abelian theory is reformulated to closely resemble the Schwinger model. It is shown that, contrary to the abelian theory, the phase structure of two-dimensional QCD is unaffected by the structure of the theta vacuum. We make parallel calculations in the two theories and conclude that massless Schwinger model is in the screening and the massive theory is in the confining phase, whereas both massless and massive QCD are in the screening phase. |
1110.5054 | Ding-Fang Zeng | Ding-fang Zeng | A Semi-analytical Solution to Classic Yang-Mills Equations with Both
Asymptotical Freedom and Confining Features | version to appear in Commun. Their. Phys | Commun. Theor. Phys. 60 (2013) 465-470 | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that confinings and asymptotic freedom are properties of
quantum chromo-dynamics (QCD). But hints of these features can also be observed
at purely classic levels. For this purpose we need to find solutions to the
colorly-sourceful Yang-Mills equations with both confining and asymptotic
freedom features. We provide such a solution in this paper which at the
near-source region is of serial form, while at the far-away region is
approximately expressed through simple elementary functions. From the solution,
we derive out a classically non-perturbative beta function describing the
running of effective coupling constant, which is linear in the couplings both
in the infrared and ultraviolet region.
| [
{
"created": "Sun, 23 Oct 2011 15:19:58 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2011 15:57:51 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Sep 2013 13:21:29 GMT",
"version": "v3"
}
] | 2013-10-01 | [
[
"Zeng",
"Ding-fang",
""
]
] | It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But hints of these features can also be observed at purely classic levels. For this purpose we need to find solutions to the colorly-sourceful Yang-Mills equations with both confining and asymptotic freedom features. We provide such a solution in this paper which at the near-source region is of serial form, while at the far-away region is approximately expressed through simple elementary functions. From the solution, we derive out a classically non-perturbative beta function describing the running of effective coupling constant, which is linear in the couplings both in the infrared and ultraviolet region. |
1304.2030 | Michael Smolkin | Robert C. Myers, Razieh Pourhasan and Michael Smolkin | On Spacetime Entanglement | 45 pages, 9 figures | null | 10.1007/JHEP06(2013)013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the idea that in quantum gravity, the entanglement entropy of a
general region should be finite and the leading contribution is given by the
Bekenstein-Hawking area law. Using holographic entanglement entropy
calculations, we show that this idea is realized in the Randall-Sundrum II
braneworld for sufficiently large regions in smoothly curved backgrounds.
Extending the induced gravity action on the brane to include the
curvature-squared interactions, we show that the Wald entropy closely matches
the expression describing the entanglement entropy. The difference is that for
a general region, the latter includes terms involving the extrinsic curvature
of the entangling surface, which do not appear in the Wald entropy. We also
consider various limitations on the validity of these results.
| [
{
"created": "Sun, 7 Apr 2013 17:40:42 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Myers",
"Robert C.",
""
],
[
"Pourhasan",
"Razieh",
""
],
[
"Smolkin",
"Michael",
""
]
] | We examine the idea that in quantum gravity, the entanglement entropy of a general region should be finite and the leading contribution is given by the Bekenstein-Hawking area law. Using holographic entanglement entropy calculations, we show that this idea is realized in the Randall-Sundrum II braneworld for sufficiently large regions in smoothly curved backgrounds. Extending the induced gravity action on the brane to include the curvature-squared interactions, we show that the Wald entropy closely matches the expression describing the entanglement entropy. The difference is that for a general region, the latter includes terms involving the extrinsic curvature of the entangling surface, which do not appear in the Wald entropy. We also consider various limitations on the validity of these results. |
hep-th/0507270 | Anindya Biswas | Anindya Biswas, Sudipta Mukherji | Bouncing Cosmology in Three Dimensions | 7 pages, LaTex, 3 figures, Journal version | JCAP 0602 (2006) 002 | 10.1088/1475-7516/2006/02/002 | null | hep-th | null | We consider a dynamical two-brane in a four dimensional black hole background
with scalar hair. At high temperature this black hole goes through a phase
transition by radiating away the scalar. The end phase is a topological
adS-Schwarzschild black hole. We argue here that for a sufficiently low
temperature, the brane motion in this geometry is non-singular. This results in
a universe which passes over from a contracting phase to an expanding one
without reaching a singularity.
| [
{
"created": "Wed, 27 Jul 2005 18:14:49 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2006 04:50:15 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Biswas",
"Anindya",
""
],
[
"Mukherji",
"Sudipta",
""
]
] | We consider a dynamical two-brane in a four dimensional black hole background with scalar hair. At high temperature this black hole goes through a phase transition by radiating away the scalar. The end phase is a topological adS-Schwarzschild black hole. We argue here that for a sufficiently low temperature, the brane motion in this geometry is non-singular. This results in a universe which passes over from a contracting phase to an expanding one without reaching a singularity. |
2312.13360 | Mario De Marco | Guillermo Arias-Tamargo, Mario De Marco | Disconnected gauge groups in the infrared | 43 pages + Appendices; v2, additional references - published version | J. High Energ. Phys. 2024, 50 (2024) | 10.1007/JHEP06(2024)050 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Gauging a discrete 0-form symmetry of a QFT is a procedure that changes the
global form of the gauge group but not its perturbative dynamics. In this work,
we study the Seiberg-Witten solution of theories resulting from the gauging of
charge conjugation in 4d $\mathcal{N} = 2$ theories with $SU(N)$ gauge group
and fundamental hypermultiplets. The basic idea of our procedure is to identify
the $\mathbb{Z}_2$ action at the level of the SW curve and perform the
quotient, and it should also be applicable to non-lagrangian theories. We study
dynamical aspects of these theories such as their moduli space singularities
and the corresponding physics; in particular, we explore the complex structure
singularity arising from the quotient procedure. We also discuss some
implications of our work in regard to three problems: the geometric
classification of 4d SCFTs, the study of non-invertible symmetries from the SW
geometry, and the String Theory engineering of theories with disconnected gauge
groups.
| [
{
"created": "Wed, 20 Dec 2023 19:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2024 14:35:08 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Arias-Tamargo",
"Guillermo",
""
],
[
"De Marco",
"Mario",
""
]
] | Gauging a discrete 0-form symmetry of a QFT is a procedure that changes the global form of the gauge group but not its perturbative dynamics. In this work, we study the Seiberg-Witten solution of theories resulting from the gauging of charge conjugation in 4d $\mathcal{N} = 2$ theories with $SU(N)$ gauge group and fundamental hypermultiplets. The basic idea of our procedure is to identify the $\mathbb{Z}_2$ action at the level of the SW curve and perform the quotient, and it should also be applicable to non-lagrangian theories. We study dynamical aspects of these theories such as their moduli space singularities and the corresponding physics; in particular, we explore the complex structure singularity arising from the quotient procedure. We also discuss some implications of our work in regard to three problems: the geometric classification of 4d SCFTs, the study of non-invertible symmetries from the SW geometry, and the String Theory engineering of theories with disconnected gauge groups. |
1207.5806 | Siavash Golkar | Siavash Golkar and Dam T. Son | (Non)-Renormalization of the Chiral Vortical Effect Coefficient | 11 pages, 3 figures. Version 2 corrects an error and calculates
leading radiative correction | JHEP 02 (2015) 169 | 10.1007/JHEP02(2015)169 | INT-PUB-12-034 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show using diagramtic arguments that in some (but not all) cases, the
temperature dependent part of the chiral vortical effect coefficient is
independent of the coupling constant. An interpretation of this result in terms
of quantization in the effective 3 dimensional Chern-Simons theory is also
given. In the language of 3D dimensionally reduced theory, the value of the
chiral vortical coefficient is related to the formula $\sum_{n=1}^\infty
n=-1/12$. We also show that in the presence of dynamical gauge fields, the CVE
coefficient is not protected from renormalization, even in the large $N$ limit.
| [
{
"created": "Tue, 24 Jul 2012 20:00:51 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2012 20:05:51 GMT",
"version": "v2"
}
] | 2015-04-27 | [
[
"Golkar",
"Siavash",
""
],
[
"Son",
"Dam T.",
""
]
] | We show using diagramtic arguments that in some (but not all) cases, the temperature dependent part of the chiral vortical effect coefficient is independent of the coupling constant. An interpretation of this result in terms of quantization in the effective 3 dimensional Chern-Simons theory is also given. In the language of 3D dimensionally reduced theory, the value of the chiral vortical coefficient is related to the formula $\sum_{n=1}^\infty n=-1/12$. We also show that in the presence of dynamical gauge fields, the CVE coefficient is not protected from renormalization, even in the large $N$ limit. |
1106.3303 | Maxim Dvornikov | Maxim Dvornikov (IZMIRAN, University of S\~ao Paulo) | Canonical quantization of a massive Weyl field | 6 pages in Revtex 4.1, two columns, no figures; paper is
significantly revised, the discussion of the extended Lagrange formalism is
included, several new references are added; accepted for publication in
Foundation of Physics | Foundations of Physics, vol. 42, pp. 1469-1479, 2012 | 10.1007/s10701-012-9679-z | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a consistent theory of a quantum massive Weyl field. We start
with the formulation of the classical field theory approach for the description
of massive Weyl fields. It is demonstrated that the standard Lagrange formalism
cannot be applied for the studies of massive first-quantized Weyl spinors.
Nevertheless we show that the classical field theory description of massive
Weyl fields can be implemented in frames of the Hamilton formalism or using the
extended Lagrange formalism. Then we carry out a canonical quantization of the
system. The independent ways for the quantization of a massive Weyl field are
discussed. We also compare our results with the previous approaches for the
treatment of massive Weyl spinors. Finally the new interpretation of the
Majorana condition is proposed.
| [
{
"created": "Thu, 16 Jun 2011 18:35:42 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2011 08:39:42 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Aug 2012 20:28:07 GMT",
"version": "v3"
}
] | 2012-10-02 | [
[
"Dvornikov",
"Maxim",
"",
"IZMIRAN, University of São Paulo"
]
] | We construct a consistent theory of a quantum massive Weyl field. We start with the formulation of the classical field theory approach for the description of massive Weyl fields. It is demonstrated that the standard Lagrange formalism cannot be applied for the studies of massive first-quantized Weyl spinors. Nevertheless we show that the classical field theory description of massive Weyl fields can be implemented in frames of the Hamilton formalism or using the extended Lagrange formalism. Then we carry out a canonical quantization of the system. The independent ways for the quantization of a massive Weyl field are discussed. We also compare our results with the previous approaches for the treatment of massive Weyl spinors. Finally the new interpretation of the Majorana condition is proposed. |
hep-th/0503003 | Wen-Li Yang | Wen-Li Yang, Yao-Zhong Zhang and Shao-You Zhao | Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model
associated with $U_q(gl(m|n))$ | Latex file, 33 pages; V2: minor typos corrected;V3: Reference update,
the new version will appear in Commun. Maths. Phys;V4: misprints corrected | Commun.Math.Phys. 264 (2006) 87-114 | 10.1007/s00220-005-1513-4 | null | hep-th cond-mat.str-el math-ph math.MP nlin.SI | null | We construct the Drinfeld twists (or factorizing $F$-matrices) of the
supersymmetric model associated with quantum superalgebra $U_q(gl(m|n))$, and
obtain the completely symmetric representations of the creation operators of
the model in the $F$-basis provided by the $F$-matrix. As an application of our
general results, we present the explicit expressions of the Bethe vectors in
the $F$-basis for the $U_q(gl(2|1))$-model (the quantum t-J model).
| [
{
"created": "Tue, 1 Mar 2005 04:34:42 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2005 02:02:27 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Nov 2005 23:49:53 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Apr 2006 06:53:04 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Yang",
"Wen-Li",
""
],
[
"Zhang",
"Yao-Zhong",
""
],
[
"Zhao",
"Shao-You",
""
]
] | We construct the Drinfeld twists (or factorizing $F$-matrices) of the supersymmetric model associated with quantum superalgebra $U_q(gl(m|n))$, and obtain the completely symmetric representations of the creation operators of the model in the $F$-basis provided by the $F$-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the $F$-basis for the $U_q(gl(2|1))$-model (the quantum t-J model). |
hep-th/0001198 | Bert Schellekens | A.N. Schellekens | Open strings, simple currents and fixed points | 21 pages, Latex. Invited talk at the Wigner Symposium, 16-22 August
1999, Istanbul, Turkey | null | null | NIKHEF/2000-001 | hep-th | null | Some applications of simple current techniques and fixed point resolution to
theories of open strings are discussed. In addition to a brief review of work
presented in two recent papers with L. Huiszoon and N. Sousa, some new results
concerning uniqueness of crosscap coefficients are presented, as well as a
strange sum rule for the modular matrix implied by the existence of crosscaps.
| [
{
"created": "Fri, 28 Jan 2000 15:13:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schellekens",
"A. N.",
""
]
] | Some applications of simple current techniques and fixed point resolution to theories of open strings are discussed. In addition to a brief review of work presented in two recent papers with L. Huiszoon and N. Sousa, some new results concerning uniqueness of crosscap coefficients are presented, as well as a strange sum rule for the modular matrix implied by the existence of crosscaps. |
1211.6023 | Jaemo Park | Chiung Hwang, Hee-Cheol Kim, Jaemo Park | Factorization of the 3d superconformal index | 43 pages, 2 figures ; minor revisions, some technical details
clarified, add references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that 3d superconformal index for general $\mathcal N=2$ U(N) gauge
group with fundamentals and anti-fundmentals with/without Chern-Simons terms is
factorized into vortex and anti-vortex partition function. We show that for
simple cases, 3d vortex partition function coincides with a suitable
topological open string partition function. We provide much more elegant
derivation at the index level for $\mathcal N=2$ Seiberg-like dualities of
unitary gauge groups with fundamantal matters and $\mathcal N=4$ mirror
symmetry
| [
{
"created": "Mon, 26 Nov 2012 16:55:34 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2013 18:26:52 GMT",
"version": "v2"
}
] | 2013-08-19 | [
[
"Hwang",
"Chiung",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Park",
"Jaemo",
""
]
] | We prove that 3d superconformal index for general $\mathcal N=2$ U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function. We show that for simple cases, 3d vortex partition function coincides with a suitable topological open string partition function. We provide much more elegant derivation at the index level for $\mathcal N=2$ Seiberg-like dualities of unitary gauge groups with fundamantal matters and $\mathcal N=4$ mirror symmetry |
hep-th/9604172 | Hagen Kleinert | P. Fiziev and H. Kleinert
(http://www.physik.fu-berlin.de/~kleinert/institution.html) | Comment on Path Integral Derivation of Schr\"odinger Equation in Spaces
with Curvature and Torsion | LaTeX file in src | J.Phys.A29:7619-7624,1996 | 10.1088/0305-4470/29/23/022 | null | hep-th | null | We present a derivation of the Schr\"odinger equation for a path integral of
a point particle in a space with curvature and torsion which is considerably
shorter and more elegant than what is commonly found in the literature.
| [
{
"created": "Sat, 27 Apr 1996 08:34:39 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fiziev",
"P.",
"",
"http://www.physik.fu-berlin.de/~kleinert/institution.html"
],
[
"Kleinert",
"H.",
"",
"http://www.physik.fu-berlin.de/~kleinert/institution.html"
]
] | We present a derivation of the Schr\"odinger equation for a path integral of a point particle in a space with curvature and torsion which is considerably shorter and more elegant than what is commonly found in the literature. |
2102.06878 | Srinivas Namani | N. Srinivas | Thermodynamics of Massless Free Bosonic Higher Spin Fields | 9 pages, Abstract modified, overall arguments and analysis revamped,
added one reference | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We calculated the thermal partition function for the massless free bosonic
Higher spin fields (Fronsdal theory) of thermodynamical system by using Feynman
path integral formalism and also we calculated the free energy, average energy,
energy fluctuations, specific heat and entropy by applying the dimensional
regularization method. Moreover, we isolated the UV divergences of the above
physical quantities by dimensional regularization method. Nevertheless, we
observed the duality between the thermodynamical system of massless free
bosonic HS fields on $d \geq 4$-dimensional Minkowski spacetime and
thermodynamical system of Klein-Gordon scalar fields on 4-dimensional Minkowski
spacetime at the thermal equilibrium condition. We also calculated the
fluctuations in the energy value $E$ is quite negligible at the thermodynamic
limit $V \to \infty$ (IR divergence) and if $T \to \infty$ also negligible in
fluctuations in the energy value. This energy fluctuations is depends on the
dimensionality of the system i.e $d \geq 4$ and also depends on the temperature
of HS fields. The entropy of thermodynamical system of massless free bosonic HS
fields diverges logarithmically at temperature is infinity and also diverges at
thermodynamic limit i.e $ V \to \infty$ and also depends on the spin ($s$) of
the massless free bosonic HS fileds. The entropy of massless free Bosonic HS
fields depends not only temperature of the system but also depends on the
dimensionality of the system i.e $d \geq 4$. However, the entropy value is
finite for finite value of temperature and finite value of volume of massless
free bosonic HS fields.
| [
{
"created": "Sat, 13 Feb 2021 07:22:28 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Mar 2021 05:04:11 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Nov 2023 06:23:55 GMT",
"version": "v3"
}
] | 2023-11-14 | [
[
"Srinivas",
"N.",
""
]
] | We calculated the thermal partition function for the massless free bosonic Higher spin fields (Fronsdal theory) of thermodynamical system by using Feynman path integral formalism and also we calculated the free energy, average energy, energy fluctuations, specific heat and entropy by applying the dimensional regularization method. Moreover, we isolated the UV divergences of the above physical quantities by dimensional regularization method. Nevertheless, we observed the duality between the thermodynamical system of massless free bosonic HS fields on $d \geq 4$-dimensional Minkowski spacetime and thermodynamical system of Klein-Gordon scalar fields on 4-dimensional Minkowski spacetime at the thermal equilibrium condition. We also calculated the fluctuations in the energy value $E$ is quite negligible at the thermodynamic limit $V \to \infty$ (IR divergence) and if $T \to \infty$ also negligible in fluctuations in the energy value. This energy fluctuations is depends on the dimensionality of the system i.e $d \geq 4$ and also depends on the temperature of HS fields. The entropy of thermodynamical system of massless free bosonic HS fields diverges logarithmically at temperature is infinity and also diverges at thermodynamic limit i.e $ V \to \infty$ and also depends on the spin ($s$) of the massless free bosonic HS fileds. The entropy of massless free Bosonic HS fields depends not only temperature of the system but also depends on the dimensionality of the system i.e $d \geq 4$. However, the entropy value is finite for finite value of temperature and finite value of volume of massless free bosonic HS fields. |
1308.2342 | Lauren McGough | Lauren McGough and Herman Verlinde | Bekenstein-Hawking Entropy as Topological Entanglement Entropy | 15 pages, 3 figures; typos corrected, references added | null | 10.1007/JHEP11(2013)208 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black holes in 2+1 dimensions enjoy long range topological interactions
similar to those of non-abelian anyon excitations in a topologically ordered
medium. Using this observation, we compute the topological entanglement entropy
of BTZ black holes, via the established formula S_top = log(S^a_0), with S_b^a
the modular S-matrix of the Virasoro characters chi_a(tau). We find a precise
match with the Bekenstein-Hawking entropy. This result adds a new twist to the
relationship between quantum entanglement and the interior geometry of black
holes. We generalize our result to higher spin black holes, and again find a
detailed match. We comment on a possible alternative interpretation of our
result in terms of boundary entropy.
| [
{
"created": "Sat, 10 Aug 2013 21:24:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Sep 2013 20:25:02 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"McGough",
"Lauren",
""
],
[
"Verlinde",
"Herman",
""
]
] | Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ black holes, via the established formula S_top = log(S^a_0), with S_b^a the modular S-matrix of the Virasoro characters chi_a(tau). We find a precise match with the Bekenstein-Hawking entropy. This result adds a new twist to the relationship between quantum entanglement and the interior geometry of black holes. We generalize our result to higher spin black holes, and again find a detailed match. We comment on a possible alternative interpretation of our result in terms of boundary entropy. |
2206.12017 | Naoki Sasakura | Naoki Sasakura | Splitting-merging transitions in tensor-vectors systems in exact
large-$N$ limits | 27 pages, 13 figures. Some improvements in Section 4 and the last
section. A minor change in the title | null | 10.1103/PhysRevD.106.126016 | YITP-22-66 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Matrix models have phase transitions in which distributions of variables
change topologically like the Gross-Witten-Wadia transition. In a recent study,
similar splitting-merging behavior of distributions of dynamical variables was
observed in a tensor-vectors system by numerical simulations. In this paper, we
study the system exactly in some large-$N$ limits, in which the distributions
are discrete sets of configurations rather than continuous. We find cascades of
first-order phase transitions for fixed tensors, and first- and second-order
phase transitions for random tensors, being characterized by breaking patterns
of replica symmetries. The system is of interest across three different
subjects at least: The splitting dynamics plays essential roles in emergence of
classical spacetimes in a tensor model of quantum gravity; The splitting
dynamics automatically detects the rank of a tensor in the tensor rank
decomposition in data analysis; The system provides a variant of the spherical
$p$-spin model for spin glasses with a new non-trivial parameter. We discuss
some implications of the results from these perspectives. The results are
compared with some numerical simulations to check the large-$N$ convergence and
the assumptions made in the analysis.
| [
{
"created": "Thu, 23 Jun 2022 23:59:14 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2022 07:05:20 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Dec 2022 01:01:26 GMT",
"version": "v3"
}
] | 2023-01-04 | [
[
"Sasakura",
"Naoki",
""
]
] | Matrix models have phase transitions in which distributions of variables change topologically like the Gross-Witten-Wadia transition. In a recent study, similar splitting-merging behavior of distributions of dynamical variables was observed in a tensor-vectors system by numerical simulations. In this paper, we study the system exactly in some large-$N$ limits, in which the distributions are discrete sets of configurations rather than continuous. We find cascades of first-order phase transitions for fixed tensors, and first- and second-order phase transitions for random tensors, being characterized by breaking patterns of replica symmetries. The system is of interest across three different subjects at least: The splitting dynamics plays essential roles in emergence of classical spacetimes in a tensor model of quantum gravity; The splitting dynamics automatically detects the rank of a tensor in the tensor rank decomposition in data analysis; The system provides a variant of the spherical $p$-spin model for spin glasses with a new non-trivial parameter. We discuss some implications of the results from these perspectives. The results are compared with some numerical simulations to check the large-$N$ convergence and the assumptions made in the analysis. |
1203.4783 | Aleksandr Zheltukhin | A. A. Zheltukhin | On nonlinearity of p-brane dynamics | 9 pages, LaTeX. Contribution to the Proceedings of the XXIX Max Born
Symposium: "Super, Quantum & Twistors II", Wroclaw, Poland, 28-30 June 2011,
to appear in the International Journal of Geometric Methods Modern Physics
Vol. 9, No. 6 (2012) | null | null | NORDITA-2012-17 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear equations of $p$-branes in $D=(2p+1)$-dimensional Minkowski space
are discussed. Presented are new exact solutions for a set of spinning
$p$-branes with $p=2,3,...,(D-1)/2$ and the Abelian symmetries $U(1)\times
U(1)\times... \times U(1)$ of their shapes.
| [
{
"created": "Wed, 21 Mar 2012 17:03:56 GMT",
"version": "v1"
}
] | 2012-03-22 | [
[
"Zheltukhin",
"A. A.",
""
]
] | Nonlinear equations of $p$-branes in $D=(2p+1)$-dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning $p$-branes with $p=2,3,...,(D-1)/2$ and the Abelian symmetries $U(1)\times U(1)\times... \times U(1)$ of their shapes. |
hep-th/0011015 | Buchholz | Detlev Buchholz, Sergio Doplicher, Giovanni Morchio, John E. Roberts,
Franco Strocchi | Quantum delocalization of the electric charge | 17 pages | Annals Phys. 290 (2001) 53-66 | 10.1006/aphy.2001.6136 | null | hep-th | null | The classical Maxwell-Dirac and Maxwell-Klein-Gordon theories admit solutions
of the field equations where the corresponding electric current vanishes in the
causal complement of some bounded region of Minkowski space. This poses the
interesting question of whether states with a similarly well localized charge
density also exist in quantum electrodynamics. For a large family of charged
states, the dominant quantum corrections at spacelike infinity to the
expectation values of local observables are computed. It turns out that certain
moments of the charge density decrease no faster than the Coulomb field in
spacelike directions. In contrast to the classical theory, it is therefore
impossible to define the electric charge support of these states in a
meaningful way.
| [
{
"created": "Thu, 2 Nov 2000 15:00:43 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Buchholz",
"Detlev",
""
],
[
"Doplicher",
"Sergio",
""
],
[
"Morchio",
"Giovanni",
""
],
[
"Roberts",
"John E.",
""
],
[
"Strocchi",
"Franco",
""
]
] | The classical Maxwell-Dirac and Maxwell-Klein-Gordon theories admit solutions of the field equations where the corresponding electric current vanishes in the causal complement of some bounded region of Minkowski space. This poses the interesting question of whether states with a similarly well localized charge density also exist in quantum electrodynamics. For a large family of charged states, the dominant quantum corrections at spacelike infinity to the expectation values of local observables are computed. It turns out that certain moments of the charge density decrease no faster than the Coulomb field in spacelike directions. In contrast to the classical theory, it is therefore impossible to define the electric charge support of these states in a meaningful way. |
hep-th/0512292 | Sophie de Buyl | S. de Buyl, M. Henneaux and L. Paulot | Extended E8 Invariance of 11-Dimensional Supergravity | 9 pages | JHEP0602:056,2006 | 10.1088/1126-6708/2006/02/056 | null | hep-th | null | The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a
crucial role in the symmetry structure of M-theory. Recently, following the
analysis of the asymptotic behaviour of the supergravity fields near a
cosmological singularity, this question has received a new impulse. It has been
argued that one way to exhibit the symmetry was to rewrite the supergravity
equations as the equations of motion of the non-linear sigma model E10/K(E10).
This attempt, in line with the established result that the scalar fields which
appear in the toroidal compactification down to three spacetime dimensions form
the coset E8/SO(16), was verified for the first bosonic levels in a level
expansion of the theory. We show that the same features remain valid when one
includes the gravitino field
| [
{
"created": "Thu, 22 Dec 2005 18:29:18 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"de Buyl",
"S.",
""
],
[
"Henneaux",
"M.",
""
],
[
"Paulot",
"L.",
""
]
] | The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M-theory. Recently, following the analysis of the asymptotic behaviour of the supergravity fields near a cosmological singularity, this question has received a new impulse. It has been argued that one way to exhibit the symmetry was to rewrite the supergravity equations as the equations of motion of the non-linear sigma model E10/K(E10). This attempt, in line with the established result that the scalar fields which appear in the toroidal compactification down to three spacetime dimensions form the coset E8/SO(16), was verified for the first bosonic levels in a level expansion of the theory. We show that the same features remain valid when one includes the gravitino field |
1403.1599 | Jun Zhang | Alexander Vilenkin and Jun Zhang | Past incompleteness of a bouncing multiverse | 26 pages,5 figures | null | 10.1088/1475-7516/2014/06/034 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to classical GR, Anti-de Sitter (AdS) bubbles in the multiverse
terminate in big crunch singularities. It has been conjectured, however, that
the fundamental theory may resolve these singularities and replace them by
nonsingular bounces. This may have important implications for the beginning of
the multiverse. Geodesics in cosmological spacetimes are known to be
past-incomplete, as long as the average expansion rate along the geodesic is
positive, but it is not clear that the latter condition is satisfied if the
geodesic repeatedly passes through crunching AdS bubbles. We investigate this
issue in a simple multiverse model, where the spacetime consists of a patchwork
of FRW regions. The conclusion is that the spacetime is still past-incomplete,
even in the presence of AdS bounces.
| [
{
"created": "Thu, 6 Mar 2014 21:46:20 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Vilenkin",
"Alexander",
""
],
[
"Zhang",
"Jun",
""
]
] | According to classical GR, Anti-de Sitter (AdS) bubbles in the multiverse terminate in big crunch singularities. It has been conjectured, however, that the fundamental theory may resolve these singularities and replace them by nonsingular bounces. This may have important implications for the beginning of the multiverse. Geodesics in cosmological spacetimes are known to be past-incomplete, as long as the average expansion rate along the geodesic is positive, but it is not clear that the latter condition is satisfied if the geodesic repeatedly passes through crunching AdS bubbles. We investigate this issue in a simple multiverse model, where the spacetime consists of a patchwork of FRW regions. The conclusion is that the spacetime is still past-incomplete, even in the presence of AdS bounces. |
hep-th/0609136 | Massimo Giovannini | Massimo Giovannini | Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity | 8 pages, 2 figures | Phys.Rev.D74:087505,2006 | 10.1103/PhysRevD.74.087505 | CERN-PH-TH/2006-180 | hep-th | null | Five-dimensional Gauss-Bonnet gravity, with one warped extra-dimension,
allows classes of solutions where two scalar fields combine either in a
kink-antikink system or in a trapping bag configuration. While the
kink-antikink system can be interpreted as a pair of gravitating domain walls
with opposite topological charges, the trapping bag solution consists of a
domain wall supplemented by a non-topological defect. In both classes of
solutions, for large absolute values of the bulk coordinate (i.e. far from the
core of the defects), the geometry is given by five-dimensional anti-de Sitter
space.
| [
{
"created": "Tue, 19 Sep 2006 20:13:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Giovannini",
"Massimo",
""
]
] | Five-dimensional Gauss-Bonnet gravity, with one warped extra-dimension, allows classes of solutions where two scalar fields combine either in a kink-antikink system or in a trapping bag configuration. While the kink-antikink system can be interpreted as a pair of gravitating domain walls with opposite topological charges, the trapping bag solution consists of a domain wall supplemented by a non-topological defect. In both classes of solutions, for large absolute values of the bulk coordinate (i.e. far from the core of the defects), the geometry is given by five-dimensional anti-de Sitter space. |
2006.01142 | Christoph Uhlemann | Christoph F. Uhlemann | Wilson loops in 5d long quiver gauge theories | 43 pages, 7 figures | null | 10.1007/JHEP09(2020)145 | LCTP-20-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quiver gauge theories with a large number of nodes host a wealth of Wilson
loop operators. Expectation values are obtained, using supersymmetric
localization, for Wilson loops in the antisymmetric representations associated
with each individual gauge node, for a sample of 5d long quiver gauge theories
whose UV fixed points have holographic duals in Type IIB. The sample includes
the $T_N$ theories and the results are uniformly given in terms of Bloch-Wigner
functions. The holographic representation of the Wilson loops is identified. It
comprises, for each supergravity solution, a two-parameter family of D3-branes
which exactly reproduce the field theory results and identify points in the
internal space with the faces of the associated 5-brane web. The expectation
values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many
operators, which matches between field theory and supergravity.
| [
{
"created": "Mon, 1 Jun 2020 18:00:01 GMT",
"version": "v1"
}
] | 2020-10-26 | [
[
"Uhlemann",
"Christoph F.",
""
]
] | Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the $T_N$ theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity. |
hep-th/0406239 | Xiao-Hui Wang | Bo-Yu Hou, Dan-Tao Peng, Chuan-Hua Xiong, Rui-Hong Yue | The Affine Hidden Symmetry and Integrability of Type IIB Superstring in
$AdS_{5} \times S^{5}$ | 16 pages, no figures,typo crrected and references added | null | null | null | hep-th | null | In this paper, we motivate how the Hodge dual related with S-duality gives
the hidden symmetry in the moduli space of IIB string. Utilizing the static $%
\kappa $-symmetric Killing gauge, if we take the Hodge dual of the vierbeins
keeping the connection invariant, the duality of Maure-Cartan equations and the
equations of motion becomes manifest. Thus by twistly transforming the
vierbein, we can express the BPR currents as the Lax connections by a unique
spectral parameter. Then we construct the generators of the infinitesimal
dressing symmetry, the related symmetric algebra becomes the affine $%
gl(2,2|4)^{(1)}$, which can be used to find the classical $r$ matrix.
| [
{
"created": "Fri, 25 Jun 2004 12:47:23 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 2004 08:01:31 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hou",
"Bo-Yu",
""
],
[
"Peng",
"Dan-Tao",
""
],
[
"Xiong",
"Chuan-Hua",
""
],
[
"Yue",
"Rui-Hong",
""
]
] | In this paper, we motivate how the Hodge dual related with S-duality gives the hidden symmetry in the moduli space of IIB string. Utilizing the static $% \kappa $-symmetric Killing gauge, if we take the Hodge dual of the vierbeins keeping the connection invariant, the duality of Maure-Cartan equations and the equations of motion becomes manifest. Thus by twistly transforming the vierbein, we can express the BPR currents as the Lax connections by a unique spectral parameter. Then we construct the generators of the infinitesimal dressing symmetry, the related symmetric algebra becomes the affine $% gl(2,2|4)^{(1)}$, which can be used to find the classical $r$ matrix. |
1910.10978 | Qiang Wen | Qiang Wen | Formulas for Partial Entanglement Entropy | v3:21pages,version improved a lot; v4:typos corrected, matching with
the published version on PRResearch | Phys. Rev. Research 2, 023170 (2020) | 10.1103/PhysRevResearch.2.023170 | null | hep-th cond-mat.stat-mech gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partial entanglement entropy (PEE) $s_{\mathcal{A}}(\mathcal{A}_i)$
characterizes how much the subset $\mathcal{A}_i$ of $\mathcal{A}$ contribute
to the entanglement entropy $S_{\mathcal{A}}$. We find one additional physical
requirement for $s_{\mathcal{A}}(\mathcal{A}_i)$, which is the invariance under
a permutation. The partial entanglement entropy proposal satisfies all the
physical requirements. We show that for Poincar\'e invariant theories the
physical requirements are enough to uniquely determine the PEE (or the
entanglement contour) to satisfy a general formula. This is the first time we
find the PEE can be uniquely determined. Since the solution of the requirements
is unique and the \textit{PEE proposal} is a solution, the \textit{PEE
proposal} is justified for Poincar\'e invariant theories.
| [
{
"created": "Thu, 24 Oct 2019 08:36:26 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jan 2020 08:35:29 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Mar 2020 15:02:05 GMT",
"version": "v3"
},
{
"created": "Fri, 8 May 2020 14:05:44 GMT",
"version": "v4"
}
] | 2020-05-20 | [
[
"Wen",
"Qiang",
""
]
] | The partial entanglement entropy (PEE) $s_{\mathcal{A}}(\mathcal{A}_i)$ characterizes how much the subset $\mathcal{A}_i$ of $\mathcal{A}$ contribute to the entanglement entropy $S_{\mathcal{A}}$. We find one additional physical requirement for $s_{\mathcal{A}}(\mathcal{A}_i)$, which is the invariance under a permutation. The partial entanglement entropy proposal satisfies all the physical requirements. We show that for Poincar\'e invariant theories the physical requirements are enough to uniquely determine the PEE (or the entanglement contour) to satisfy a general formula. This is the first time we find the PEE can be uniquely determined. Since the solution of the requirements is unique and the \textit{PEE proposal} is a solution, the \textit{PEE proposal} is justified for Poincar\'e invariant theories. |
0706.3176 | Patricio Gaete | Patricio Gaete and Iv\'an Schmidt | Properties of noncommutative axionic electrodynamics | 4 pages. To appear in PRD | Phys.Rev.D76:027702,2007 | 10.1103/PhysRevD.76.027702 | USM-TH-212 | hep-th | null | Using the gauge-invariant but path-dependent variables formalism, we compute
the static quantum potential for noncommutative axionic electrodynamics, and
find a radically different result than the corresponding commutative case. We
explicitly show that the static potential profile is analogous to that
encountered in both non-Abelian axionic electrodynamics and in Yang-Mills
theory with spontaneous symmetry breaking of scale symmetry.
| [
{
"created": "Thu, 21 Jun 2007 15:32:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gaete",
"Patricio",
""
],
[
"Schmidt",
"Iván",
""
]
] | Using the gauge-invariant but path-dependent variables formalism, we compute the static quantum potential for noncommutative axionic electrodynamics, and find a radically different result than the corresponding commutative case. We explicitly show that the static potential profile is analogous to that encountered in both non-Abelian axionic electrodynamics and in Yang-Mills theory with spontaneous symmetry breaking of scale symmetry. |
2007.05148 | Sanefumi Moriyama | Sanefumi Moriyama | Spectral Theories and Topological Strings on del Pezzo Geometries | 63 pages, 22 eps figures; clarifications added and references added | null | 10.1007/JHEP10(2020)154 | OCU-PHYS 520, NITEP 73 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by understanding M2-branes, we propose to reformulate partition
functions of M2-branes by quantum curves. Especially, we focus on the
backgrounds of del Pezzo geometries, which enjoy Weyl group symmetries of
exceptional algebras. We construct quantum curves explicitly and turn to the
analysis of classical phase space areas and quantum mirror maps. We find that
the group structure helps in clarifying previous subtleties, such as the shift
of the chemical potential in the area and the identification of the overall
factor of the spectral operator in the mirror map. We list the multiplicities
characterizing the quantum mirror maps and find that the decoupling relation
known for the BPS indices works for the mirror maps. As a result, with the
group structure we can present explicitly the statement for the correspondence
between spectral theories and topological strings on del Pezzo geometries.
| [
{
"created": "Fri, 10 Jul 2020 03:24:46 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2020 01:06:55 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Moriyama",
"Sanefumi",
""
]
] | Motivated by understanding M2-branes, we propose to reformulate partition functions of M2-branes by quantum curves. Especially, we focus on the backgrounds of del Pezzo geometries, which enjoy Weyl group symmetries of exceptional algebras. We construct quantum curves explicitly and turn to the analysis of classical phase space areas and quantum mirror maps. We find that the group structure helps in clarifying previous subtleties, such as the shift of the chemical potential in the area and the identification of the overall factor of the spectral operator in the mirror map. We list the multiplicities characterizing the quantum mirror maps and find that the decoupling relation known for the BPS indices works for the mirror maps. As a result, with the group structure we can present explicitly the statement for the correspondence between spectral theories and topological strings on del Pezzo geometries. |
hep-th/9902117 | Robert Edwards | Robert G. Edwards, Urs M. Heller, Joe Kiskis and Rajamani Narayanan | Quark spectra, topology and random matrix theory | 4 pages, revtex, 2 postscript figures. Added a reference | Phys.Rev.Lett. 82 (1999) 4188-4191 | 10.1103/PhysRevLett.82.4188 | FSU-SCRI-99-08, UCD 1999-3 | hep-th hep-lat | null | Quark spectra in QCD are linked to fundamental properties of the theory
including the identification of pions as the Goldstone bosons of spontaneously
broken chiral symmetry. The lattice Overlap-Dirac operator provides a
nonperturbative, ultraviolet-regularized description of quarks with the correct
chiral symmetry. Properties of the spectrum of this operator and their relation
to random matrix theory are studied here. In particular, the predictions from
chiral random matrix theory in topologically non-trivial gauge field sectors
are tested for the first time.
| [
{
"created": "Tue, 16 Feb 1999 22:47:19 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Feb 1999 17:59:45 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Edwards",
"Robert G.",
""
],
[
"Heller",
"Urs M.",
""
],
[
"Kiskis",
"Joe",
""
],
[
"Narayanan",
"Rajamani",
""
]
] | Quark spectra in QCD are linked to fundamental properties of the theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice Overlap-Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random matrix theory are studied here. In particular, the predictions from chiral random matrix theory in topologically non-trivial gauge field sectors are tested for the first time. |
hep-th/0208168 | Artur B. Adib | Artur B. Adib | (Non)existence of static scalar field configurations in finite systems | 4 pages, math typos corrected | null | null | null | hep-th | null | Derrick's theorem on the nonexistence of stable time-independent scalar field
configurations [G. H. Derrick, J. Math. Phys. 5, 1252 (1964)] is generalized to
finite systems of arbitrary dimension. It is shown that the "dilation" argument
underlying the theorem hinges upon the fulfillment of specific Neumann boundary
conditions, providing thus new means of evading it without resorting to
time-dependence or additional fields of higher spin. The theorem in its
original form is only recovered when the boundary conditions are such that both
the gradient and potential energies vanish at the boundaries, in which case it
establishes the nonexistence of stable time-independent solutions in finite
systems of more than two spatial dimensions.
| [
{
"created": "Thu, 22 Aug 2002 21:11:08 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2002 15:41:45 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Adib",
"Artur B.",
""
]
] | Derrick's theorem on the nonexistence of stable time-independent scalar field configurations [G. H. Derrick, J. Math. Phys. 5, 1252 (1964)] is generalized to finite systems of arbitrary dimension. It is shown that the "dilation" argument underlying the theorem hinges upon the fulfillment of specific Neumann boundary conditions, providing thus new means of evading it without resorting to time-dependence or additional fields of higher spin. The theorem in its original form is only recovered when the boundary conditions are such that both the gradient and potential energies vanish at the boundaries, in which case it establishes the nonexistence of stable time-independent solutions in finite systems of more than two spatial dimensions. |
hep-th/9111060 | null | M. Caselle and F. Gliozzi | Self-avoiding effective strings in lattice gauge theories | 7 pages | Phys. Lett. B277 (1992) 481-484 | 10.1016/0370-2693(92)91814-P | null | hep-th | null | It is shown that the effective string recently introduced to describe the
long distance dynamics of 3D gauge systems in the confining phase has an
intriguing description in terms of models of 2D self-avoiding walks in the
dense phase. The deconfinement point, where the effective string becomes N=2
supersymmetric, may then be interpreted as the tricritical Theta point where
the polymer chain undergoes a collapse transition. As a consequence, a
universal value of the deconfinement temperature is predicted.
| [
{
"created": "Thu, 28 Nov 1991 14:18:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Caselle",
"M.",
""
],
[
"Gliozzi",
"F.",
""
]
] | It is shown that the effective string recently introduced to describe the long distance dynamics of 3D gauge systems in the confining phase has an intriguing description in terms of models of 2D self-avoiding walks in the dense phase. The deconfinement point, where the effective string becomes N=2 supersymmetric, may then be interpreted as the tricritical Theta point where the polymer chain undergoes a collapse transition. As a consequence, a universal value of the deconfinement temperature is predicted. |
1912.11461 | Yuan Sun | Song He, Jia-Rui Sun, Yuan Sun | The correlation function of (1,1) and (2,2) supersymmetric theories with
$T\bar{T}$ deformation | 43 pages, published version | null | 10.1007/JHEP04(2020)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the paper, based on recent studies on $T\bar{T}$ deformation of 2D field
theory with supersymmetry, we investigate the deformed correlation functions in
$\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ 2D superconformal field theories.
Up to the leading order in perturbation theory, we compute the correlation
functions under $T\bar{T}$ deformation. The correlation functions in these
undeformed theories are almost known, and together with the help of
superconformal Ward identity in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$
theories respectively we can obtain the correlation functions with operator
$T\bar{T}$ inserted. Finally, by employing dimensional regularization, we can
work out the integrals in the first order perturbation. The study in this paper
extends previous works on the correlation functions of $T\bar{T}$ deformed
bosonic CFT to the supersymmetric case.
| [
{
"created": "Tue, 24 Dec 2019 18:33:29 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2020 16:42:42 GMT",
"version": "v2"
}
] | 2020-04-28 | [
[
"He",
"Song",
""
],
[
"Sun",
"Jia-Rui",
""
],
[
"Sun",
"Yuan",
""
]
] | In the paper, based on recent studies on $T\bar{T}$ deformation of 2D field theory with supersymmetry, we investigate the deformed correlation functions in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ 2D superconformal field theories. Up to the leading order in perturbation theory, we compute the correlation functions under $T\bar{T}$ deformation. The correlation functions in these undeformed theories are almost known, and together with the help of superconformal Ward identity in $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,2)$ theories respectively we can obtain the correlation functions with operator $T\bar{T}$ inserted. Finally, by employing dimensional regularization, we can work out the integrals in the first order perturbation. The study in this paper extends previous works on the correlation functions of $T\bar{T}$ deformed bosonic CFT to the supersymmetric case. |
1207.3759 | Herbert Hamber | Herbert W. Hamber, Reiko Toriumi and Ruth M. Williams | Wheeler-DeWitt Equation in 2 + 1 Dimensions | 56 pages, 7 figures, typos fixed, references added | Physical Review D86, 084010 (2012) | 10.1103/PhysRevD.86.084010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The infrared structure of quantum gravity is explored by solving a lattice
version of the Wheeler-DeWitt equations. In the present paper only the case of
2+1 dimensions is considered. The nature of the wavefunction solutions is such
that a finite correlation length emerges and naturally cuts off any infrared
divergences. Properties of the lattice vacuum are consistent with the existence
of an ultraviolet fixed point in $G$ located at the origin, thus precluding the
existence of a weak coupling perturbative phase. The correlation length
exponent is determined exactly and found to be $\nu=6/11$. The results obtained
so far lend support to the claim that the Lorentzian and Euclidean formulations
belong to the same field-theoretic universality class.
| [
{
"created": "Mon, 16 Jul 2012 18:39:28 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2012 16:22:16 GMT",
"version": "v2"
}
] | 2013-05-13 | [
[
"Hamber",
"Herbert W.",
""
],
[
"Toriumi",
"Reiko",
""
],
[
"Williams",
"Ruth M.",
""
]
] | The infrared structure of quantum gravity is explored by solving a lattice version of the Wheeler-DeWitt equations. In the present paper only the case of 2+1 dimensions is considered. The nature of the wavefunction solutions is such that a finite correlation length emerges and naturally cuts off any infrared divergences. Properties of the lattice vacuum are consistent with the existence of an ultraviolet fixed point in $G$ located at the origin, thus precluding the existence of a weak coupling perturbative phase. The correlation length exponent is determined exactly and found to be $\nu=6/11$. The results obtained so far lend support to the claim that the Lorentzian and Euclidean formulations belong to the same field-theoretic universality class. |
hep-th/9404041 | Hidetoshi Awata | H. Awata, M. Fukuma, Y. Matsuo and S. Odake | Quasifinite Highest Weight Modules over Super $W_{1+\infty}$ Algebra | 38 pages, Plain Tex, YITP/K-1055, UT-670, SULDP-1994-2 | Commun.Math.Phys. 170 (1995) 151-180 | 10.1007/BF02099443 | null | hep-th | null | We study quasifinite highest weight modules over the supersymmetric extension
of the $W_{1+\infty}$ algebra on the basis of the analysis by Kac and Radul. We
find that the quasifiniteness of the modules is again characterized by
polynomials, and obtain the differential equations for highest weights. The
spectral flow, free field realization over the $(B,C)$--system, and the
embedding into $\Glinf$ are also presented.
| [
{
"created": "Thu, 7 Apr 1994 16:20:45 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Awata",
"H.",
""
],
[
"Fukuma",
"M.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Odake",
"S.",
""
]
] | We study quasifinite highest weight modules over the supersymmetric extension of the $W_{1+\infty}$ algebra on the basis of the analysis by Kac and Radul. We find that the quasifiniteness of the modules is again characterized by polynomials, and obtain the differential equations for highest weights. The spectral flow, free field realization over the $(B,C)$--system, and the embedding into $\Glinf$ are also presented. |
1308.4972 | Jakob Palmkvist | Jesper Greitz, Paul Howe, Jakob Palmkvist | The tensor hierarchy simplified | 1+10 pages. v2: clarification of text on page 3 and minor corrections | Class. Quantum Grav. 31 (2014) 087001 | 10.1088/0264-9381/31/8/087001 | NORDITA-2013-062, KCL-MTH-13-08, IHES/P/13/27 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A compact formulation of the field-strengths, Bianchi identities and gauge
transformations for tensor hierarchies in gauged maximal supergravity theories
is given. A key role in the construction is played by the recently-introduced
tensor hierarchy algebra.
| [
{
"created": "Thu, 22 Aug 2013 20:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2014 09:40:20 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Greitz",
"Jesper",
""
],
[
"Howe",
"Paul",
""
],
[
"Palmkvist",
"Jakob",
""
]
] | A compact formulation of the field-strengths, Bianchi identities and gauge transformations for tensor hierarchies in gauged maximal supergravity theories is given. A key role in the construction is played by the recently-introduced tensor hierarchy algebra. |
hep-th/0504045 | Don Marolf | Donald Marolf | On the fate of black string instabilities: An Observation | 4 pages, RevTex, 1 figure, references added | Phys.Rev. D71 (2005) 127504 | 10.1103/PhysRevD.71.127504 | null | hep-th gr-qc | null | Gregory and Laflamme (hep-th/9301052) have argued that an instability causes
the Schwarzschild black string to break up into disjoint black holes. On the
other hand, Horowitz and Maeda (arXiv:hep-th/0105111) derived bounds on the
rate at which the smallest sphere can pinch off, showing that, if it happens at
all, such a pinch-off can occur only at infinite affine parameter along the
horizon. An interesting point is that, if a singularity forms, such an infinite
affine parameter may correspond to a finite advanced time -- which is in fact a
more appropriate notion of time at infinity. We argue below that pinch-off at a
finite advanced time is in fact a natural expectation under the bounds derived
by Horowitz and Maeda.
| [
{
"created": "Tue, 5 Apr 2005 22:34:53 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2005 20:50:02 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Marolf",
"Donald",
""
]
] | Gregory and Laflamme (hep-th/9301052) have argued that an instability causes the Schwarzschild black string to break up into disjoint black holes. On the other hand, Horowitz and Maeda (arXiv:hep-th/0105111) derived bounds on the rate at which the smallest sphere can pinch off, showing that, if it happens at all, such a pinch-off can occur only at infinite affine parameter along the horizon. An interesting point is that, if a singularity forms, such an infinite affine parameter may correspond to a finite advanced time -- which is in fact a more appropriate notion of time at infinity. We argue below that pinch-off at a finite advanced time is in fact a natural expectation under the bounds derived by Horowitz and Maeda. |
1904.00994 | Juven C. Wang | Zheyan Wan, Juven Wang, Yunqin Zheng | Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge
Topological Field Theory | 87 pages. Sec 8 discusses both symmetry-extended TQFTs and
symmetry-breaking TQFTs, agreeing with Cordova-Ohmori arXiv:1910.04962. See
Primers: arXiv:1812.11968, arXiv:1812.11967, arXiv:1711.11587,
arXiv:1705.06728 and Refs therein, also
https://video.ias.edu/highenergy/2019/0419-JuvenWang. v4: More technical
misprints/typos fixed | Phys. Rev. D 100, 085012 (2019) | 10.1103/PhysRevD.100.085012 | null | hep-th cond-mat.str-el hep-ph math.AT math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore 4d Yang-Mills gauge theories (YM) living as boundary conditions of
5d gapped short/long-range entangled (SRE/LRE) topological states.
Specifically, we explore 4d time-reversal symmetric pure YM of an SU(2) gauge
group with a second-Chern-class topological term at $\theta=\pi$
(SU(2)$_{\theta=\pi}$ YM), by turning on background fields for both the
time-reversal (i.e., on unorientable manifolds) and 1-form center global
symmetry. We find four classes of time-reversal and Lorentz symmetry-enriched
SU(2)$_{\theta=\pi}$ YM, labeled by $(K_1, K_2)$: $K_1=0,1$ specifies Kramers
singlet/doublet Wilson line and new mixed higher 't Hooft anomalies; $K_2=0,1$
specifies boson/fermionic Wilson line and a new Wess-Zumino-Witten-like
counterterm. Higher anomalies indicate that to realize all higher $n$-global
symmetries locally on $n$-simplices, the 4d theory becomes a boundary of a 5d
higher-symmetry-protected topological state (SPTs, as an invertible topological
quantum field theory (TQFT) or a cobordism invariant in math, or as a 5d
higher-symmetric interacting topological superconductor in condensed matter).
By dynamically gauging the 1-form symmetry, we transform a 5d bulk SRE SPTs
into an LRE symmetry-enriched topologically ordered state (SETs); thus we
obtain the 4d SO(3)$_{\theta=\pi}$ YM-5d LRE-higher-SETs coupled system with
higher-form gauge fields. We further derive new exotic anyonic statistics of
extended objects such as 2-worldsheet of strings and 3-worldvolume of branes,
physically characterizing the 5d SETs. We discover triple and quadruple link
invariants associated with the 5d higher-gauge TQFTs, hinting at a relation
between non-supersymmetric 4d pure YM and topological links in 5d. We provide
4d-5d lattice simplicial complex regularizations and bridge to 4d quantum spin
liquids. We constrain gauge dynamics by higher anomalies and a higher
symmetry-extension method.
| [
{
"created": "Mon, 1 Apr 2019 17:59:52 GMT",
"version": "v1"
},
{
"created": "Tue, 14 May 2019 17:58:00 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Aug 2019 17:59:00 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Aug 2022 15:15:15 GMT",
"version": "v4"
}
] | 2022-09-01 | [
[
"Wan",
"Zheyan",
""
],
[
"Wang",
"Juven",
""
],
[
"Zheng",
"Yunqin",
""
]
] | We explore 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d gapped short/long-range entangled (SRE/LRE) topological states. Specifically, we explore 4d time-reversal symmetric pure YM of an SU(2) gauge group with a second-Chern-class topological term at $\theta=\pi$ (SU(2)$_{\theta=\pi}$ YM), by turning on background fields for both the time-reversal (i.e., on unorientable manifolds) and 1-form center global symmetry. We find four classes of time-reversal and Lorentz symmetry-enriched SU(2)$_{\theta=\pi}$ YM, labeled by $(K_1, K_2)$: $K_1=0,1$ specifies Kramers singlet/doublet Wilson line and new mixed higher 't Hooft anomalies; $K_2=0,1$ specifies boson/fermionic Wilson line and a new Wess-Zumino-Witten-like counterterm. Higher anomalies indicate that to realize all higher $n$-global symmetries locally on $n$-simplices, the 4d theory becomes a boundary of a 5d higher-symmetry-protected topological state (SPTs, as an invertible topological quantum field theory (TQFT) or a cobordism invariant in math, or as a 5d higher-symmetric interacting topological superconductor in condensed matter). By dynamically gauging the 1-form symmetry, we transform a 5d bulk SRE SPTs into an LRE symmetry-enriched topologically ordered state (SETs); thus we obtain the 4d SO(3)$_{\theta=\pi}$ YM-5d LRE-higher-SETs coupled system with higher-form gauge fields. We further derive new exotic anyonic statistics of extended objects such as 2-worldsheet of strings and 3-worldvolume of branes, physically characterizing the 5d SETs. We discover triple and quadruple link invariants associated with the 5d higher-gauge TQFTs, hinting at a relation between non-supersymmetric 4d pure YM and topological links in 5d. We provide 4d-5d lattice simplicial complex regularizations and bridge to 4d quantum spin liquids. We constrain gauge dynamics by higher anomalies and a higher symmetry-extension method. |
hep-th/9603152 | Dmitri Gitman | S.P. Gavrilov and D.M. Gitman | Vacuum instability in external fields | 36 pages, LaTeX | Phys.Rev.D53:7162-7175,1996 | 10.1103/PhysRevD.53.7162 | IFUSP/P-1185, Dezembro/1995 | hep-th | null | We study particles creation in arbitrary space-time dimensions by external
electric fields, in particular, by fields, which are acting for a finite time.
The time and dimensional analysis of the vacuum instability is presented. It is
shown that the distributions of particles created by quasiconstant electric
fields can be written in a form which has a thermal character and seems to be
universal. Its application, for example, to the particles creation in external
constant gravitational field reproduces the Hawking temperature exactly.
| [
{
"created": "Fri, 22 Mar 1996 16:45:23 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] | We study particles creation in arbitrary space-time dimensions by external electric fields, in particular, by fields, which are acting for a finite time. The time and dimensional analysis of the vacuum instability is presented. It is shown that the distributions of particles created by quasiconstant electric fields can be written in a form which has a thermal character and seems to be universal. Its application, for example, to the particles creation in external constant gravitational field reproduces the Hawking temperature exactly. |
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