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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2404.14477 | Dimitrios Toulikas | Iosif Bena, Rapha\"el Dulac, Anthony Houppe, Dimitrios Toulikas,
Nicholas P. Warner | Waves on Mazes | 24 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One way to describe the entropy of black holes comes from partitioning
momentum charge across fractionated intersecting brane systems. Here we
construct $\frac{1}{8}$-BPS solutions by adding momentum to a maze of M2-brane
strips stretched between M5 branes. Before the addition of momentum, the
$\frac{1}{4}$-BPS supergravity solution describing the maze is governed by a
master function obeying a complicated Monge-Amp\`ere equation. Given such a
solution, we show that one can add momentum waves without modifying the
$\frac{1}{4}$-BPS M2-M5 background. Remarkably, these excitations are fully
determined by a layered set of $\textit{linear}$ equations. The fields
responsible for carrying the momentum are parameterized by arbitrary functions
of a null direction, and have exactly the same structure as in brane
world-volume constructions. The fact that the momentum and flux excitations of
the M2-M5-P system are governed by a linear structure brings us one step closer
to using supergravity solutions to capture the entropy of supersymmetric
black-holes.
| [
{
"created": "Mon, 22 Apr 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-04-24 | [
[
"Bena",
"Iosif",
""
],
[
"Dulac",
"Raphaël",
""
],
[
"Houppe",
"Anthony",
""
],
[
"Toulikas",
"Dimitrios",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | One way to describe the entropy of black holes comes from partitioning momentum charge across fractionated intersecting brane systems. Here we construct $\frac{1}{8}$-BPS solutions by adding momentum to a maze of M2-brane strips stretched between M5 branes. Before the addition of momentum, the $\frac{1}{4}$-BPS supergravity solution describing the maze is governed by a master function obeying a complicated Monge-Amp\`ere equation. Given such a solution, we show that one can add momentum waves without modifying the $\frac{1}{4}$-BPS M2-M5 background. Remarkably, these excitations are fully determined by a layered set of $\textit{linear}$ equations. The fields responsible for carrying the momentum are parameterized by arbitrary functions of a null direction, and have exactly the same structure as in brane world-volume constructions. The fact that the momentum and flux excitations of the M2-M5-P system are governed by a linear structure brings us one step closer to using supergravity solutions to capture the entropy of supersymmetric black-holes. |
2105.08085 | Adriano Lana Cherchiglia | Dafne Carolina Arias-Perdomo, Adriano Cherchiglia, Brigitte Hiller and
Marcos Sampaio | A brief review of Implicit Regularization and its connection with the
BPHZ theorem | Contribution to the special issue of Symmetry on "Higher Order
Radiative Corrections in QCD" | null | 10.3390/sym13060956 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Quantum Field Theory, as the keystone of particle physics, has allowed great
insights to deciphering the core of Nature. Despite its striking success, by
adhering to local interactions, Quantum Field Theory suffers from the
appearance of divergent quantities in intermediary steps of the calculation,
which encompasses the need for some regularization/renormalization
prescription. As an alternative to traditional methods, based on the analytic
extension of space-time dimension, frameworks that stay in the physical
dimension have emerged, Implicit Regularization is one among them. We briefly
review the method, aiming to illustrate how Implicit Regularization complies
with the BPHZ theorem, which implies that it respects unitarity and locality to
arbitrary loop order.
| [
{
"created": "Mon, 17 May 2021 18:00:57 GMT",
"version": "v1"
}
] | 2021-06-01 | [
[
"Arias-Perdomo",
"Dafne Carolina",
""
],
[
"Cherchiglia",
"Adriano",
""
],
[
"Hiller",
"Brigitte",
""
],
[
"Sampaio",
"Marcos",
""
]
] | Quantum Field Theory, as the keystone of particle physics, has allowed great insights to deciphering the core of Nature. Despite its striking success, by adhering to local interactions, Quantum Field Theory suffers from the appearance of divergent quantities in intermediary steps of the calculation, which encompasses the need for some regularization/renormalization prescription. As an alternative to traditional methods, based on the analytic extension of space-time dimension, frameworks that stay in the physical dimension have emerged, Implicit Regularization is one among them. We briefly review the method, aiming to illustrate how Implicit Regularization complies with the BPHZ theorem, which implies that it respects unitarity and locality to arbitrary loop order. |
hep-th/0308011 | Sumati Surya | Sumati Surya | Cyclic Statistics In Three Dimensions | 13 pages, 1 figure, LaTex, minor page reformatting | J.Math.Phys. 45 (2004) 2515-2525 | 10.1063/1.1738189 | null | hep-th gr-qc | null | While 2-dimensional quantum systems are known to exhibit non-permutation,
braid group statistics, it is widely expected that quantum statistics in
3-dimensions is solely determined by representations of the permutation group.
This expectation is false for certain 3-dimensional systems, as was shown by
the authors of ref. [1,2,3]. In this work we demonstrate the existence of
``cyclic'', or $Z_n$, {\it non-permutation group} statistics for a system of n
> 2 identical, unknotted rings embedded in $R^3$. We make crucial use of a
theorem due to Goldsmith in conjunction with the so called Fuchs-Rabinovitch
relations for the automorphisms of the free product group on n elements.
| [
{
"created": "Fri, 1 Aug 2003 17:47:16 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Aug 2003 18:20:00 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Aug 2003 23:13:51 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Surya",
"Sumati",
""
]
] | While 2-dimensional quantum systems are known to exhibit non-permutation, braid group statistics, it is widely expected that quantum statistics in 3-dimensions is solely determined by representations of the permutation group. This expectation is false for certain 3-dimensional systems, as was shown by the authors of ref. [1,2,3]. In this work we demonstrate the existence of ``cyclic'', or $Z_n$, {\it non-permutation group} statistics for a system of n > 2 identical, unknotted rings embedded in $R^3$. We make crucial use of a theorem due to Goldsmith in conjunction with the so called Fuchs-Rabinovitch relations for the automorphisms of the free product group on n elements. |
1809.04671 | Senarath P. de Alwis | S.P. de Alwis | Higher Derivative Corrections to Lower Order RG Flow Equations | Clarifying comments added, minor corrections, references added typos
corrected, 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the RG flow equation for the cosmological constant (CC) receives
contributions (in addition to those coming from the CC the Einstein-Hilbert
term and $R^{2}$ and $R_{\mu\nu}^{2}$ terms) only from terms with just two
powers of curvature, but having also powers of the covariant derivative, in the
Wilsonian effective action. In pure gravity our argument implies that just
considering $f(R)$ theories will miss this effect which arises from terms such
as $"R"\square^{n}"R",\,n=0,1,2,\ldots$. We expect similar contributions for
the flow equation of the Einstein-Hilbert term as well. Finally we argue that
the perturbative ghosts coming from curvature squared terms in the action are
in fact spurious since they are at the cutoff scale and can be removed by
(cutoff dependent) field redefinitions.
| [
{
"created": "Wed, 12 Sep 2018 20:57:40 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2018 22:09:14 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Nov 2018 01:41:59 GMT",
"version": "v3"
},
{
"created": "Tue, 19 Feb 2019 18:55:15 GMT",
"version": "v4"
}
] | 2019-02-20 | [
[
"de Alwis",
"S. P.",
""
]
] | We show that the RG flow equation for the cosmological constant (CC) receives contributions (in addition to those coming from the CC the Einstein-Hilbert term and $R^{2}$ and $R_{\mu\nu}^{2}$ terms) only from terms with just two powers of curvature, but having also powers of the covariant derivative, in the Wilsonian effective action. In pure gravity our argument implies that just considering $f(R)$ theories will miss this effect which arises from terms such as $"R"\square^{n}"R",\,n=0,1,2,\ldots$. We expect similar contributions for the flow equation of the Einstein-Hilbert term as well. Finally we argue that the perturbative ghosts coming from curvature squared terms in the action are in fact spurious since they are at the cutoff scale and can be removed by (cutoff dependent) field redefinitions. |
1808.00648 | Brett McInnes | Brett McInnes | The Effect of Vorticity on QGP Thermodynamics | 16 pages, two figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Currently there is intense interest in the properties of the Quark-Gluon
Plasma produced in peripheral collisions of heavy ions at various facilities,
such as the RHIC. In particular, it is essential to understand the difference
between such plasmas and their more readily understood counterparts produced in
nearly central collisions. The differences arise primarily from the intense
magnetic and vorticity fields generated in the QGP in the peripheral case. It
has been argued that the magnetic fields might have a profound effect on QGP
thermodynamics. Here we will argue, using a gauge-gravity model incorporating
the recently proposed holographic vorticity bound, that vorticity also has
important consequences for the plasma thermodynamics, in particular, for the
entropy density at a given impact energy. A crucial point in our analysis is
the need to determine the fate of bulk gravitational parameters when the
duality translates them to the boundary.
| [
{
"created": "Thu, 2 Aug 2018 03:07:54 GMT",
"version": "v1"
}
] | 2018-08-03 | [
[
"McInnes",
"Brett",
""
]
] | Currently there is intense interest in the properties of the Quark-Gluon Plasma produced in peripheral collisions of heavy ions at various facilities, such as the RHIC. In particular, it is essential to understand the difference between such plasmas and their more readily understood counterparts produced in nearly central collisions. The differences arise primarily from the intense magnetic and vorticity fields generated in the QGP in the peripheral case. It has been argued that the magnetic fields might have a profound effect on QGP thermodynamics. Here we will argue, using a gauge-gravity model incorporating the recently proposed holographic vorticity bound, that vorticity also has important consequences for the plasma thermodynamics, in particular, for the entropy density at a given impact energy. A crucial point in our analysis is the need to determine the fate of bulk gravitational parameters when the duality translates them to the boundary. |
1406.3291 | Yasha Neiman | Yasha Neiman | Antipodally symmetric gauge fields and higher-spin gravity in de Sitter
space | 37 pages; v3: major rewrite - added boundary-to-bulk propagators,
concluded that all higher-spin n-point functions in dS/Z_2 are singular,
retracted the CFT model accordingly; v4: JHEP version, slightly expanded
presentation; v5: corrected some propagator normalizations; v6: standardized
normalization conventions between papers; v7: further correction to
propagator normalizations | null | 10.1007/JHEP10(2014)153 | IGC-14/6-2 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study gauge fields of arbitrary spin in de Sitter space. These include
Yang-Mills fields and gravitons, as well as the higher-spin fields of Vasiliev
theory. We focus on antipodally symmetric solutions to the field equations,
i.e. ones that live on "elliptic" de Sitter space dS_4/Z_2. For free fields, we
find spanning sets of such solutions, including boundary-to-bulk propagators.
We find that free solutions on dS_4/Z_2 can only have one of the two types of
boundary data at infinity, meaning that the boundary 2-point functions vanish.
In Vasiliev theory, this property persists order by order in the interaction,
i.e. the boundary n-point functions in dS_4/Z_2 all vanish. This implies that a
higher-spin dS/CFT based on the Lorentzian dS_4/Z_2 action is empty. For more
general interacting theories, such as ordinary gravity and Yang-Mills, we can
use the free-field result to define a well-posed perturbative initial value
problem in dS_4/Z_2.
| [
{
"created": "Thu, 12 Jun 2014 17:21:17 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jun 2014 23:17:55 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Sep 2014 02:16:53 GMT",
"version": "v3"
},
{
"created": "Tue, 14 Oct 2014 17:57:27 GMT",
"version": "v4"
},
{
"c... | 2019-12-03 | [
[
"Neiman",
"Yasha",
""
]
] | We study gauge fields of arbitrary spin in de Sitter space. These include Yang-Mills fields and gravitons, as well as the higher-spin fields of Vasiliev theory. We focus on antipodally symmetric solutions to the field equations, i.e. ones that live on "elliptic" de Sitter space dS_4/Z_2. For free fields, we find spanning sets of such solutions, including boundary-to-bulk propagators. We find that free solutions on dS_4/Z_2 can only have one of the two types of boundary data at infinity, meaning that the boundary 2-point functions vanish. In Vasiliev theory, this property persists order by order in the interaction, i.e. the boundary n-point functions in dS_4/Z_2 all vanish. This implies that a higher-spin dS/CFT based on the Lorentzian dS_4/Z_2 action is empty. For more general interacting theories, such as ordinary gravity and Yang-Mills, we can use the free-field result to define a well-posed perturbative initial value problem in dS_4/Z_2. |
2208.08976 | Rui Yu | Qingjun Jin, Ke Ren, Gang Yang, Rui Yu | Gluonic evanescent operators: two-loop anomalous dimensions | v2: 43 pages, 4 figures, 1 table; reference added, minor corrections | J. High Energ. Phys. 2023, 39 (2023) | 10.1007/JHEP02(2023)039 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Evanescent operators are a special class of operators that vanish in
four-dimensional spacetime but are non-zero in $d=4-2\epsilon$ dimensions. In
this paper, we continue our systematic study of the evanescent operators in the
pure Yang-Mills theory and focus on their two-loop renormalization. We develop
an efficient strategy to compute the two-loop divergences of form factors of
high-dimensional and high-length operators by combining the $d$-dimensional
unitarity method and the improved tensor reduction techniques. Two-loop
anomalous dimensions are obtained for the mass-dimension-10 basis in the planar
YM theory, for which both the $\overline{\text{MS}}$ scheme and the
finite-renormalization scheme are used. We verify that the two-loop anomalous
dimensions are the same in these two schemes at the Wilson-Fisher conformal
fixed point. Our computation shows that the evanescent operators are
indispensable in order to obtain the correct two-loop anomalous dimensions.
This work provides a first computation of the two-loop anomalous dimensions of
the complete set of dimension-10 operators. The method we use is also expected
to provide an efficient strategy for the two-loop renormalization of general
high-dimensional operators.
| [
{
"created": "Thu, 18 Aug 2022 17:39:19 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2023 06:22:02 GMT",
"version": "v2"
}
] | 2023-02-14 | [
[
"Jin",
"Qingjun",
""
],
[
"Ren",
"Ke",
""
],
[
"Yang",
"Gang",
""
],
[
"Yu",
"Rui",
""
]
] | Evanescent operators are a special class of operators that vanish in four-dimensional spacetime but are non-zero in $d=4-2\epsilon$ dimensions. In this paper, we continue our systematic study of the evanescent operators in the pure Yang-Mills theory and focus on their two-loop renormalization. We develop an efficient strategy to compute the two-loop divergences of form factors of high-dimensional and high-length operators by combining the $d$-dimensional unitarity method and the improved tensor reduction techniques. Two-loop anomalous dimensions are obtained for the mass-dimension-10 basis in the planar YM theory, for which both the $\overline{\text{MS}}$ scheme and the finite-renormalization scheme are used. We verify that the two-loop anomalous dimensions are the same in these two schemes at the Wilson-Fisher conformal fixed point. Our computation shows that the evanescent operators are indispensable in order to obtain the correct two-loop anomalous dimensions. This work provides a first computation of the two-loop anomalous dimensions of the complete set of dimension-10 operators. The method we use is also expected to provide an efficient strategy for the two-loop renormalization of general high-dimensional operators. |
2111.04539 | Konstantin Klimenko | T. G. Khunjua, K. G. Klimenko and R. N. Zhokhov | Composite operator approach to dynamical mass generation in the
(2+1)-dimensional Gross-Neveu model | 13 pages; Accepted for publication in IJMPA | null | 10.1142/S0217751X21502316 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a nonperturbative approach based on the Cornwall-Jackiw-Tomboulis (CJT)
effective action $\Gamma(S)$ for composite operators, the phase structure of
the simplest massless (2 + 1)-dimensional Gross-Neveu model is investigated. We
have calculated $\Gamma(S)$ in the first order of the bare coupling constant
$G$ and have shown that there exist three different specific dependences of
$G\equiv G(\Lambda)$ on the cutoff parameter $\Lambda$, and in each case the
effective action and its stationarity equations have been obtained. The
solutions of these equations correspond to the fact that three different masses
of fermions can arise dynamically and, respectively, three different nontrivial
phases can be observed in the model.
| [
{
"created": "Mon, 8 Nov 2021 14:36:38 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Khunjua",
"T. G.",
""
],
[
"Klimenko",
"K. G.",
""
],
[
"Zhokhov",
"R. N.",
""
]
] | Using a nonperturbative approach based on the Cornwall-Jackiw-Tomboulis (CJT) effective action $\Gamma(S)$ for composite operators, the phase structure of the simplest massless (2 + 1)-dimensional Gross-Neveu model is investigated. We have calculated $\Gamma(S)$ in the first order of the bare coupling constant $G$ and have shown that there exist three different specific dependences of $G\equiv G(\Lambda)$ on the cutoff parameter $\Lambda$, and in each case the effective action and its stationarity equations have been obtained. The solutions of these equations correspond to the fact that three different masses of fermions can arise dynamically and, respectively, three different nontrivial phases can be observed in the model. |
2208.09589 | Chia-Min Lin | Chia-Min Lin | On the nature of cosmic strings in the brane world | 11 pages, 3 figures, the version to be published in the Chinese
Journal of Physics | null | 10.1016/j.cjph.2023.03.001 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a static, cylindrically symmetric cosmic string on the brane
without a perturbative approximation. We find there could be a (large)
enhancement of the (effective) string tension when the energy density at the
center of the string is (much) larger than twice the brane tension. We also
point out a new way to evade the cosmic string problem when the energy density
at the center of the string approaches twice the brane tension. These findings
could have experimental and theoretical implications for searching for cosmic
strings on the brane, in particular for cosmic strings generated after
inflation (such as D-term inflation) on the brane.
| [
{
"created": "Sat, 20 Aug 2022 03:21:45 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2023 06:58:07 GMT",
"version": "v2"
}
] | 2023-04-12 | [
[
"Lin",
"Chia-Min",
""
]
] | We investigate a static, cylindrically symmetric cosmic string on the brane without a perturbative approximation. We find there could be a (large) enhancement of the (effective) string tension when the energy density at the center of the string is (much) larger than twice the brane tension. We also point out a new way to evade the cosmic string problem when the energy density at the center of the string approaches twice the brane tension. These findings could have experimental and theoretical implications for searching for cosmic strings on the brane, in particular for cosmic strings generated after inflation (such as D-term inflation) on the brane. |
hep-th/9407146 | Boos Herman | H.E. Boos, V.V. Mangazeev, S.M. Sergeev | Modified Tetrahedron Equations and Related 3D Integrable Models | 26 pages, LaTeX file | Int.J.Mod.Phys.A10:4041-4064,1995 | 10.1142/S0217751X9500187X | null | hep-th | null | Using a modified version of the tetrahedron equations we construct a new
family of $N$-state three-dimensional integrable models with commuting
two-layer transfer-matrices. We investigate a particular class of solutions to
these equations and parameterize them in terms of elliptic functions. The
corresponding models contain one free parameter $k$ -- an elliptic modulus.
| [
{
"created": "Fri, 22 Jul 1994 16:52:39 GMT",
"version": "v1"
}
] | 2019-08-15 | [
[
"Boos",
"H. E.",
""
],
[
"Mangazeev",
"V. V.",
""
],
[
"Sergeev",
"S. M.",
""
]
] | Using a modified version of the tetrahedron equations we construct a new family of $N$-state three-dimensional integrable models with commuting two-layer transfer-matrices. We investigate a particular class of solutions to these equations and parameterize them in terms of elliptic functions. The corresponding models contain one free parameter $k$ -- an elliptic modulus. |
0903.0379 | Tao Wang | Xiangdong Ji, Tower Wang | Curvature and Entropy Perturbations in Generalized Gravity | 30 pages, 4 figures, references added | Phys.Rev.D79:103525,2009 | 10.1103/PhysRevD.79.103525 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the cosmological perturbations in generalized gravity, where
the Ricci scalar and a scalar field are non-minimally coupled via an arbitrary
function. In the Friedmann-Lemaitre-Robertson-Walker background, by studying
the linear perturbation theory, we separate the scalar type perturbations into
the curvature perturbation and the entropy perturbation, whose evolution
equations are derived. Then we apply this framework to inflation. We consider
the generalized slow-roll conditions and the quantization initial condition.
Under these conditions, two special examples are studied analytically. One
example is the case with no entropy perturbation. The other example is a model
with the entropy perturbation large initially but decaying significantly after
crossing the horizon.
| [
{
"created": "Tue, 3 Mar 2009 15:49:35 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2009 14:08:13 GMT",
"version": "v2"
},
{
"created": "Thu, 21 May 2009 11:11:54 GMT",
"version": "v3"
}
] | 2009-07-30 | [
[
"Ji",
"Xiangdong",
""
],
[
"Wang",
"Tower",
""
]
] | We investigate the cosmological perturbations in generalized gravity, where the Ricci scalar and a scalar field are non-minimally coupled via an arbitrary function. In the Friedmann-Lemaitre-Robertson-Walker background, by studying the linear perturbation theory, we separate the scalar type perturbations into the curvature perturbation and the entropy perturbation, whose evolution equations are derived. Then we apply this framework to inflation. We consider the generalized slow-roll conditions and the quantization initial condition. Under these conditions, two special examples are studied analytically. One example is the case with no entropy perturbation. The other example is a model with the entropy perturbation large initially but decaying significantly after crossing the horizon. |
hep-th/9507029 | Daniele Guido | Daniele Guido (U. Roma Tor Vergata) | Modular Covariance, PCT, Spin and Statistics | 15 pages, plain TeX, talk presented to the Colloquium "New Problems
in the General Theory of Fields and Particles", Paris 1994. To appear in the
special issue of the Ann. Inst. H. Poincar\'e devoted to the Colloquium | Ann.Poincare 63:383-398,1995 | null | null | hep-th funct-an math.FA | null | The notion of modular covariance is reviewed and the reconstruction of the
Poincar\'e group extended to the low-dimensional case. The relations with the
PCT symmetry and the Spin and Statistics theorem are described.
| [
{
"created": "Wed, 5 Jul 1995 20:02:47 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Guido",
"Daniele",
"",
"U. Roma Tor Vergata"
]
] | The notion of modular covariance is reviewed and the reconstruction of the Poincar\'e group extended to the low-dimensional case. The relations with the PCT symmetry and the Spin and Statistics theorem are described. |
1405.1424 | {\Dj}or{\dj}e Radi\v{c}evi\'c | Dionysios Anninos, Raghu Mahajan, Djordje Radicevic, Edgar Shaghoulian | Chern-Simons-Ghost Theories and de Sitter Space | 27 pages + appendices, 6 figures | null | 10.1007/JHEP01(2015)074 | SU-ITP 14/11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore Chern-Simons theories coupled to fundamental ghost-like matter in
the large $N$ limit at 't Hooft coupling $\lambda$. These theories have been
conjectured to be holographically dual to parity-violating, asymptotically
dS$_4$ universes with a tower of light higher-spin fields. On $\mathbb{R}^3$,
to all orders in large-$N$ perturbation theory, we show that Chern-Simons-ghost
theories are related to ordinary Chern-Simons-matter theories by mapping $N
\rightarrow - N$ and keeping $\lambda$ fixed. Consequently, the bosonization
duality of ordinary Chern-Simons-matter theories extends to a bosonization
duality of Chern-Simons-ghost theories on $\mathbb R^3$. On $S^1 \times S^2$,
in the small-$S^1$ limit, neither $N \rightarrow -N$ nor bosonization hold, as
we show by extensively studying large-$N$ saddles of the theories with both
ghost and ordinary matter. The partition functions we compute along the way can
be viewed as pieces of the late-time Hartle-Hawking wavefunction for the bulk
dS$_4$ gravity theories.
| [
{
"created": "Tue, 6 May 2014 20:00:23 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Anninos",
"Dionysios",
""
],
[
"Mahajan",
"Raghu",
""
],
[
"Radicevic",
"Djordje",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] | We explore Chern-Simons theories coupled to fundamental ghost-like matter in the large $N$ limit at 't Hooft coupling $\lambda$. These theories have been conjectured to be holographically dual to parity-violating, asymptotically dS$_4$ universes with a tower of light higher-spin fields. On $\mathbb{R}^3$, to all orders in large-$N$ perturbation theory, we show that Chern-Simons-ghost theories are related to ordinary Chern-Simons-matter theories by mapping $N \rightarrow - N$ and keeping $\lambda$ fixed. Consequently, the bosonization duality of ordinary Chern-Simons-matter theories extends to a bosonization duality of Chern-Simons-ghost theories on $\mathbb R^3$. On $S^1 \times S^2$, in the small-$S^1$ limit, neither $N \rightarrow -N$ nor bosonization hold, as we show by extensively studying large-$N$ saddles of the theories with both ghost and ordinary matter. The partition functions we compute along the way can be viewed as pieces of the late-time Hartle-Hawking wavefunction for the bulk dS$_4$ gravity theories. |
0802.3445 | Sergei E. Parkhomenko | Sergei E. Parkhomenko | Free Field Construction of D-Branes in Rational Models of CFT and Gepner
Models | This is a contribution to the Proc. of the Seventh International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007,
Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 4:025,2008 | 10.3842/SIGMA.2008.025 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | This is a review article of my recent papers on free field construction of
D-branes in N = 2 superconformal minimal models and Gepner models.
| [
{
"created": "Sat, 23 Feb 2008 15:00:59 GMT",
"version": "v1"
}
] | 2008-12-19 | [
[
"Parkhomenko",
"Sergei E.",
""
]
] | This is a review article of my recent papers on free field construction of D-branes in N = 2 superconformal minimal models and Gepner models. |
hep-th/0609044 | Niklas Beisert | Niklas Beisert, Rafael Hernandez, Esperanza Lopez | A Crossing-Symmetric Phase for AdS_5 x S^5 Strings | 34 pages, v2: references added, minor changes, to appear in JHEP | JHEP 0611:070,2006 | 10.1088/1126-6708/2006/11/070 | AEI-2006-068, CERN-PH-TH/2006-176, IFT-UAM/CSIC-06-44, PUTP-2208 | hep-th | null | We propose an all-order perturbative expression for the dressing phase of the
AdS_5 x S^5 string S-matrix at strong coupling. Moreover, we are able to sum up
large parts of this expression. This allows us to start the investigation of
the analytic structure of the phase at finite coupling revealing a few
surprising features. The phase obeys all known constraints including the
crossing relation and it matches with the known physical data at strong
coupling. In particular, we recover the bound states of giant magnons recently
found by Hofman and Maldacena as poles of the scattering matrix. At weak
coupling our proposal seems to differ with gauge theory. A possible solution to
this disagreement is the inclusion of additional pieces in the phase not
contributing to crossing, which we also study.
| [
{
"created": "Wed, 6 Sep 2006 10:16:08 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Nov 2006 10:16:14 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Beisert",
"Niklas",
""
],
[
"Hernandez",
"Rafael",
""
],
[
"Lopez",
"Esperanza",
""
]
] | We propose an all-order perturbative expression for the dressing phase of the AdS_5 x S^5 string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the analytic structure of the phase at finite coupling revealing a few surprising features. The phase obeys all known constraints including the crossing relation and it matches with the known physical data at strong coupling. In particular, we recover the bound states of giant magnons recently found by Hofman and Maldacena as poles of the scattering matrix. At weak coupling our proposal seems to differ with gauge theory. A possible solution to this disagreement is the inclusion of additional pieces in the phase not contributing to crossing, which we also study. |
1403.7016 | Masato Taki | Masato Taki | On AGT-W Conjecture and q-Deformed W-Algebra | 18 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an extension of the Alday-Gaiotto-Tachikawa-Wyllard conjecture to
5d SU(N) gauge theories. A Nekrasov partition function then coincides with the
scalar product of the corresponding Gaiotto-Whittaker vectors of the q-deformed
W_N algebra.
| [
{
"created": "Thu, 27 Mar 2014 13:16:20 GMT",
"version": "v1"
}
] | 2014-03-28 | [
[
"Taki",
"Masato",
""
]
] | We propose an extension of the Alday-Gaiotto-Tachikawa-Wyllard conjecture to 5d SU(N) gauge theories. A Nekrasov partition function then coincides with the scalar product of the corresponding Gaiotto-Whittaker vectors of the q-deformed W_N algebra. |
hep-th/9703224 | Ivanov Evgenyi | E. Ivanov, S. Krivonos and F. Toppan | N=4 Super NLS-mKdV Hierarchies | 13 pages, LaTeX | Phys.Lett. B405 (1997) 85-94 | 10.1016/S0370-2693(97)00605-9 | JINR E2-97-108, DFPD 97-TH-11 | hep-th | null | N=2 extension of affine algebra $\hat{sl(2)\oplus u(1)}$ possesses a hidden
global N=4 supersymmetry and provides a second hamiltonian structure for a new
N=4 supersymmetric integrable hierarchy defined on N=2 affine supercurrents.
This system is an N=4 extension of at once two hierarchies, N=2 NLS and N=2
mKdV ones. It is related to N=4 KdV hierarchy via a generalized
Sugawara-Feigin-Fuks construction which relates N=2 $\hat{sl(2)\oplus u(1)}$
algebra to ``small'' N=4 SCA. We also find the underlying affine hierarchy for
another integrable system with the N=4 SCA second hamiltonian structure,
``quasi'' N=4 KdV hierarchy. It respects only N=2 supersymmetry. For both new
hierarchies we construct scalar Lax formulations. We speculate that any N=2
affine algebra admitting a quaternionic structure possesses N=4 supersymmetry
and so can be used to produce N=4 supersymmetric hierarchies. This suggests a
way of classifying all such hierarchies.
| [
{
"created": "Mon, 31 Mar 1997 13:31:29 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Toppan",
"F.",
""
]
] | N=2 extension of affine algebra $\hat{sl(2)\oplus u(1)}$ possesses a hidden global N=4 supersymmetry and provides a second hamiltonian structure for a new N=4 supersymmetric integrable hierarchy defined on N=2 affine supercurrents. This system is an N=4 extension of at once two hierarchies, N=2 NLS and N=2 mKdV ones. It is related to N=4 KdV hierarchy via a generalized Sugawara-Feigin-Fuks construction which relates N=2 $\hat{sl(2)\oplus u(1)}$ algebra to ``small'' N=4 SCA. We also find the underlying affine hierarchy for another integrable system with the N=4 SCA second hamiltonian structure, ``quasi'' N=4 KdV hierarchy. It respects only N=2 supersymmetry. For both new hierarchies we construct scalar Lax formulations. We speculate that any N=2 affine algebra admitting a quaternionic structure possesses N=4 supersymmetry and so can be used to produce N=4 supersymmetric hierarchies. This suggests a way of classifying all such hierarchies. |
hep-th/9506033 | null | Kurt Lechner | String k-anomalies and D=10 Supergravity constraints: the solution of a
puzzle | 9 pages, Plain TeX, no figures, Abstract printed as last page | Phys.Lett. B357 (1995) 57-61 | 10.1016/0370-2693(95)00896-S | DFPD/95/TH/32, May 1995 | hep-th | null | The $\kappa$--anomaly cancellation mechanism in the heterotic superstring
determines the superspace constraints for N=1, D=10
Supergravity--Super--Yang--Mills theory. We point out that the constraints
found recently in this way appear to disagree with superspace solutions found
in the past. We solve this puzzle establishing perfect agreement between the
two methods.
| [
{
"created": "Tue, 6 Jun 1995 14:51:33 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Lechner",
"Kurt",
""
]
] | The $\kappa$--anomaly cancellation mechanism in the heterotic superstring determines the superspace constraints for N=1, D=10 Supergravity--Super--Yang--Mills theory. We point out that the constraints found recently in this way appear to disagree with superspace solutions found in the past. We solve this puzzle establishing perfect agreement between the two methods. |
hep-th/9503206 | Parthasarathi Majumdar | Parthasarathi Majumdar | Planckian Scattering and Shock Wave Mixing in General Relativity and
Dilaton Gravity | 26 pages, no figures, World Scientific Tex macros included. Based on
invited talk delivered at the Conference on Planck Scale Physics held during
December 12-21, 1994 at Puri, India. | null | null | IMSc/94-95/64. | hep-th | null | Point particle scattering at Planckian centre-of-mass (cm) energies and low
fixed momentum transfers, occurring due both to electromagnetic and
gravitational interactions, is surveyed, with particular emphasis on the novel
features occurring in electromagnetic charge-monopole scattering. The issue of
possible mixing of the shock waves occurring due to both kinds of interactions
is then addressed within the framework of Einsteinian general relativity and
the dilatonic extension suggested by string theory.
| [
{
"created": "Wed, 29 Mar 1995 11:00:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Majumdar",
"Parthasarathi",
""
]
] | Point particle scattering at Planckian centre-of-mass (cm) energies and low fixed momentum transfers, occurring due both to electromagnetic and gravitational interactions, is surveyed, with particular emphasis on the novel features occurring in electromagnetic charge-monopole scattering. The issue of possible mixing of the shock waves occurring due to both kinds of interactions is then addressed within the framework of Einsteinian general relativity and the dilatonic extension suggested by string theory. |
1112.5074 | Erik Plauschinn | Umut Gursoy, Erik Plauschinn, Henk Stoof, Stefan Vandoren | Holography and ARPES sum-rules | 23 pages, one figure; v2: typos corrected; v3: discussion improved | null | 10.1007/JHEP05(2012)018 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study correlation functions of elementary fermions in strongly interacting
field theories using the AdS/CFT correspondence. This correspondence
generically associates bulk fields to composite operators in field theory. We
modify the holographic prescription in order to obtain correlators that
correspond to fermonic single-particle excitations by introducing a dynamical
fermionic source localized on a UV brane in a holographic background. We work
out the conditions when these correlators obey the zeroth frequency sum-rule
satisfied by angle-resolved photo-emission spectroscopy (ARPES) and are thus
directly relevant to the AdS/CMT correspondence. To illustrate our techniques,
we study field theories at zero chemical potential with an arbitrary dynamical
exponent z, i.e., the Lifshitz invariant conformal field theories, including
the usual relativistic case z=1.
| [
{
"created": "Wed, 21 Dec 2011 16:10:15 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Dec 2011 16:55:59 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Apr 2012 06:23:48 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Gursoy",
"Umut",
""
],
[
"Plauschinn",
"Erik",
""
],
[
"Stoof",
"Henk",
""
],
[
"Vandoren",
"Stefan",
""
]
] | We study correlation functions of elementary fermions in strongly interacting field theories using the AdS/CFT correspondence. This correspondence generically associates bulk fields to composite operators in field theory. We modify the holographic prescription in order to obtain correlators that correspond to fermonic single-particle excitations by introducing a dynamical fermionic source localized on a UV brane in a holographic background. We work out the conditions when these correlators obey the zeroth frequency sum-rule satisfied by angle-resolved photo-emission spectroscopy (ARPES) and are thus directly relevant to the AdS/CMT correspondence. To illustrate our techniques, we study field theories at zero chemical potential with an arbitrary dynamical exponent z, i.e., the Lifshitz invariant conformal field theories, including the usual relativistic case z=1. |
1206.3401 | Franco Pezzella | L. De Angelis, R. Marotta, F. Pezzella and R. Troise | More About Branes on a General Magnetized Torus | 45 pages, minor corrections made for publication in JHEP | null | 10.1007/JHEP10(2012)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of low-energy effective actions of branes compactified on
magnetized extra-dimensions, we determine Yukawa couplings for the chiral
matter described by open strings attached to D9 branes having different oblique
magnetization and living on a general torus T6 with an arbitrary complex
structure. These results generalize the ones existing in literature.
| [
{
"created": "Fri, 15 Jun 2012 08:49:06 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2012 15:15:24 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"De Angelis",
"L.",
""
],
[
"Marotta",
"R.",
""
],
[
"Pezzella",
"F.",
""
],
[
"Troise",
"R.",
""
]
] | In the framework of low-energy effective actions of branes compactified on magnetized extra-dimensions, we determine Yukawa couplings for the chiral matter described by open strings attached to D9 branes having different oblique magnetization and living on a general torus T6 with an arbitrary complex structure. These results generalize the ones existing in literature. |
hep-th/9502036 | Martin Harris | Martin G. Harris | A Two Term Truncation of the Multiple Ising Model Coupled to 2d Gravity | 18 pages, LaTeX, 12 figures | Mod.Phys.Lett. A11 (1996) 553-570 | 10.1142/S021773239600059X | OUTP 9503P | hep-th | null | We consider a model of p independent Ising spins on a dynamical planar
phi-cubed graph. Truncating the free energy to two terms yields an exactly
solvable model that has a third order phase transition from a pure gravity
region (gamma=-1/2) to a tree-like region (gamma=1/2), with gamma=1/3 on the
critical line. We are able to make an order of magnitude estimate of the value
of p above which there exists a branched polymer (ie tree-like) phase in the
full model, that is, p is approximately 13-23, which corresponds to a central
charge c of about 6-12.
| [
{
"created": "Mon, 6 Feb 1995 16:56:29 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Harris",
"Martin G.",
""
]
] | We consider a model of p independent Ising spins on a dynamical planar phi-cubed graph. Truncating the free energy to two terms yields an exactly solvable model that has a third order phase transition from a pure gravity region (gamma=-1/2) to a tree-like region (gamma=1/2), with gamma=1/3 on the critical line. We are able to make an order of magnitude estimate of the value of p above which there exists a branched polymer (ie tree-like) phase in the full model, that is, p is approximately 13-23, which corresponds to a central charge c of about 6-12. |
0904.0801 | Alexander Sorin | Wissam Chemissany, Pietro Fre, Alexander S. Sorin | The Integration Algorithm of Lax equation for both Generic Lax matrices
and Generic Initial Conditions | 7 pages, LaTex; v2: a few misprints corrected | Nucl.Phys.B833:220-225,2010 | 10.1016/j.nuclphysb.2010.01.009 | null | hep-th gr-qc math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several physical applications of Lax equation require its general solution
for generic Lax matrices and generic not necessarily diagonalizable initial
conditions. In the present paper we complete the analysis started in
[arXiv:0903.3771] on the integration of Lax equations with both generic Lax
operators and generic initial conditions. We present a complete general
integration formula holding true for any (diagonalizable or non diagonalizable)
initial Lax matrix and give an original rigorous mathematical proof of its
validity relying on no previously published results.
| [
{
"created": "Mon, 6 Apr 2009 13:28:32 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2009 15:35:18 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Nov 2009 13:03:16 GMT",
"version": "v3"
}
] | 2010-04-22 | [
[
"Chemissany",
"Wissam",
""
],
[
"Fre",
"Pietro",
""
],
[
"Sorin",
"Alexander S.",
""
]
] | Several physical applications of Lax equation require its general solution for generic Lax matrices and generic not necessarily diagonalizable initial conditions. In the present paper we complete the analysis started in [arXiv:0903.3771] on the integration of Lax equations with both generic Lax operators and generic initial conditions. We present a complete general integration formula holding true for any (diagonalizable or non diagonalizable) initial Lax matrix and give an original rigorous mathematical proof of its validity relying on no previously published results. |
1006.3882 | Cesim K. Dumlu | Cesim K. Dumlu | Schwinger Vacuum Pair Production in Chirped Laser Pulses | null | Phys.Rev.D82:045007,2010 | 10.1103/PhysRevD.82.045007 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recent developments of high intensity ultra-short laser pulses have
raised the hopes of observing Schwinger vacuum pair production which is one of
the important non-perturbative phenomena in Quantum electrodynamics (QED). The
quantitative analysis of realistic high intensity laser pulses is vital for
understanding the effect of the field parameters on the momentum spectrum of
the produced particles. In this study, we analyze chirped laser pulses with a
sub-cycle structure, and investigate the effects of the chirp parameter on the
momentum spectrum of the produced particles. The combined effect of the chirp
and carrier phase of the laser pulse is also analyzed. These effects are
qualitatively explained by investigating the turning point structure of the
potential within the framework of the complex WKB scattering approach to pair
production.
| [
{
"created": "Sat, 19 Jun 2010 17:42:36 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Dumlu",
"Cesim K.",
""
]
] | The recent developments of high intensity ultra-short laser pulses have raised the hopes of observing Schwinger vacuum pair production which is one of the important non-perturbative phenomena in Quantum electrodynamics (QED). The quantitative analysis of realistic high intensity laser pulses is vital for understanding the effect of the field parameters on the momentum spectrum of the produced particles. In this study, we analyze chirped laser pulses with a sub-cycle structure, and investigate the effects of the chirp parameter on the momentum spectrum of the produced particles. The combined effect of the chirp and carrier phase of the laser pulse is also analyzed. These effects are qualitatively explained by investigating the turning point structure of the potential within the framework of the complex WKB scattering approach to pair production. |
1307.6546 | Daniel Butter | Daniel Butter, Bernard de Wit, Sergei M. Kuzenko and Ivano Lodato | New higher-derivative invariants in N=2 supergravity and the
Gauss-Bonnet term | 45 pages; v2: version to appear in JHEP | null | 10.1007/JHEP12(2013)062 | Nikhef-2013-024; ITP-UU-13/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new class of N=2 locally supersymmetric higher-derivative invariants is
constructed based on logarithms of conformal primary chiral superfields. They
characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals
the non-conformal part of the Gauss-Bonnet term. Upon combining one such
invariant with the known supersymmetric version of the square of the Weyl
tensor, one obtains the supersymmetric extension of the Gauss-Bonnet term. The
construction is carried out in the context of both conformal superspace and the
superconformal multiplet calculus. The new class of supersymmetric invariants
resolves two open questions. The first concerns the proper identification of
the 4D supersymmetric invariants that arise from dimensional reduction of the
5D mixed gauge-gravitational Chern-Simons term. The second is why the pure
Gauss-Bonnet term without supersymmetric completion has reproduced the correct
result in calculations of the BPS black hole entropy in certain models.
| [
{
"created": "Wed, 24 Jul 2013 19:45:26 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2013 22:25:42 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Butter",
"Daniel",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Kuzenko",
"Sergei M.",
""
],
[
"Lodato",
"Ivano",
""
]
] | A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the non-conformal part of the Gauss-Bonnet term. Upon combining one such invariant with the known supersymmetric version of the square of the Weyl tensor, one obtains the supersymmetric extension of the Gauss-Bonnet term. The construction is carried out in the context of both conformal superspace and the superconformal multiplet calculus. The new class of supersymmetric invariants resolves two open questions. The first concerns the proper identification of the 4D supersymmetric invariants that arise from dimensional reduction of the 5D mixed gauge-gravitational Chern-Simons term. The second is why the pure Gauss-Bonnet term without supersymmetric completion has reproduced the correct result in calculations of the BPS black hole entropy in certain models. |
0803.0571 | Danilo Diaz | Danilo E. Diaz | Polyakov formulas for GJMS operators from AdS/CFT | 27 pages, uses JHEP3.cls; eq.(2.4) corrected, refs and comments added | JHEP 0807:103,2008 | 10.1088/1126-6708/2008/07/103 | HU-EP-07/66 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the AdS/CFT calculational prescription for double-trace
deformations leads to a holographic derivation of the conformal anomaly, and
its conformal primitive, associated to the whole family of conformally
covariant powers of the Laplacian (GJMS operators) at the conformal boundary.
The bulk side involves a quantum 1-loop correction to the SUGRA action and the
boundary counterpart accounts for a sub-leading term in the large-N limit. The
sequence of GJMS conformal Laplacians shows up in the two-point function of the
CFT operator dual to a bulk scalar field at certain values of its scaling
dimension. The restriction to conformally flat boundary metrics reduces the
bulk computation to that of volume renormalization which renders the universal
type A anomaly. In this way, we directly connect two chief roles of the
Q-curvature: the main term in Polyakov formulas on one hand, and its relation
to the Poincare metrics of the Fefferman-Graham construction, on the other
hand. We find agreement with previously conjectured patterns including a
generic and simple formula for the type A anomaly coefficient that matches all
reported values in the literature concerning GJMS operators, to our knowledge.
| [
{
"created": "Tue, 4 Mar 2008 23:43:02 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2008 13:20:36 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Diaz",
"Danilo E.",
""
]
] | We argue that the AdS/CFT calculational prescription for double-trace deformations leads to a holographic derivation of the conformal anomaly, and its conformal primitive, associated to the whole family of conformally covariant powers of the Laplacian (GJMS operators) at the conformal boundary. The bulk side involves a quantum 1-loop correction to the SUGRA action and the boundary counterpart accounts for a sub-leading term in the large-N limit. The sequence of GJMS conformal Laplacians shows up in the two-point function of the CFT operator dual to a bulk scalar field at certain values of its scaling dimension. The restriction to conformally flat boundary metrics reduces the bulk computation to that of volume renormalization which renders the universal type A anomaly. In this way, we directly connect two chief roles of the Q-curvature: the main term in Polyakov formulas on one hand, and its relation to the Poincare metrics of the Fefferman-Graham construction, on the other hand. We find agreement with previously conjectured patterns including a generic and simple formula for the type A anomaly coefficient that matches all reported values in the literature concerning GJMS operators, to our knowledge. |
1106.5482 | Luis Granda | L. N. Granda, E. Torrente-Lujan and J. J. Fernandez-Melgarejo | Non-minimal kinetic coupling and Chaplygin gas cosmology | 18 pages, 2 figures. To appear in EPJC | Eur.Phys.J.C71:1704,2011 | 10.1140/epjc/s10052-011-1704-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the frame of the scalar field model with non minimal kinetic coupling to
gravity, we study the cosmological solutions of the Chaplygin gas model of dark
energy. By appropriately restricting the potential, we found the scalar field,
the potential and coupling giving rise to the Chaplygin gas solution.
Extensions to the generalized and modified Chaplygin gas have been made.
| [
{
"created": "Mon, 27 Jun 2011 19:46:55 GMT",
"version": "v1"
}
] | 2011-07-28 | [
[
"Granda",
"L. N.",
""
],
[
"Torrente-Lujan",
"E.",
""
],
[
"Fernandez-Melgarejo",
"J. J.",
""
]
] | In the frame of the scalar field model with non minimal kinetic coupling to gravity, we study the cosmological solutions of the Chaplygin gas model of dark energy. By appropriately restricting the potential, we found the scalar field, the potential and coupling giving rise to the Chaplygin gas solution. Extensions to the generalized and modified Chaplygin gas have been made. |
1712.06604 | Noppadol Mekareeya | Giulia Ferlito, Amihay Hanany, Noppadol Mekareeya and Gabi Zafrir | 3d Coulomb branch and 5d Higgs branch at infinite coupling | 37 pages, 3 figures | null | 10.1007/JHEP07(2018)061 | IMPERIAL-TP-17-AH-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Higgs branch of minimally supersymmetric five dimensional SQCD theories
increases in a significant way at the UV fixed point when the inverse gauge
coupling is tuned to zero. It has been a long standing problem to figure out
how, and to find an exact description of this Higgs branch. This paper solves
this problem in an elegant way by proposing that the Coulomb branches of three
dimensional ${\cal N}=4$ supersymmetric quiver gauge theories, named
"Exceptional Sequences", provide the solution to the problem. Thus, once again,
3d ${\cal N}=4$ Coulomb branches prove to be useful tools in solving problems
in higher dimensions. Gauge invariant operators on the 5d side consist of
classical objects such as mesons, baryons and gaugino bilinears, and non
perturbative objects such as instanton operators with or without baryon number.
On the 3d side we have classical objects such as Casimir invariants and non
perturbative objects such as monopole operators, bare or dressed. The duality
map works in a very interesting way.
| [
{
"created": "Mon, 18 Dec 2017 19:00:04 GMT",
"version": "v1"
}
] | 2018-08-01 | [
[
"Ferlito",
"Giulia",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Zafrir",
"Gabi",
""
]
] | The Higgs branch of minimally supersymmetric five dimensional SQCD theories increases in a significant way at the UV fixed point when the inverse gauge coupling is tuned to zero. It has been a long standing problem to figure out how, and to find an exact description of this Higgs branch. This paper solves this problem in an elegant way by proposing that the Coulomb branches of three dimensional ${\cal N}=4$ supersymmetric quiver gauge theories, named "Exceptional Sequences", provide the solution to the problem. Thus, once again, 3d ${\cal N}=4$ Coulomb branches prove to be useful tools in solving problems in higher dimensions. Gauge invariant operators on the 5d side consist of classical objects such as mesons, baryons and gaugino bilinears, and non perturbative objects such as instanton operators with or without baryon number. On the 3d side we have classical objects such as Casimir invariants and non perturbative objects such as monopole operators, bare or dressed. The duality map works in a very interesting way. |
2108.05109 | Thomas Mohaupt | Louis Gall and Thomas Mohaupt | Supersymmetry algebras in arbitrary signature and their R-symmetry
groups | 14 Tables, 76 pages plus 32 pages of appendices | null | 10.1007/JHEP10(2021)203 | LTH 1265 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | String theory, specifically type-II superstring theory, can be formulated in
any ten-dimensional signature. To facilitate the study of supergravity and
superstring theories in this setting, we present a uniform construction of
supersymmetry algebras in arbitrary dimension and signature, which generalizes
the ideas underlying symplectic Majorana spinors. In our formalism R-symmetry
acts on an auxiliary multiplicity space which makes its action manifest. This
allows us to provide extensive tables which list the R-symmetry groups of
extended supersymmetry algebras for all signatures together with other useful
information. Twisted (`type-*') supersymmetry algebras in Lorentz signature
with non-compact R-symmetry groups are shown to be part of a general pattern
resulting from the interplay between complex superbrackets and reality
conditions. As an application we show how the relations between type-II string
theories in ten and nine dimensions can be extracted from their supersymmetry
algebras. We also use our results to determine the special geometry of vector
and hypermultiplet scalar manifolds of four-dimensional $\mathcal{N}=2$ and
three-dimensional $\mathcal{N}=4$ supergravity theories for all signatures.
| [
{
"created": "Wed, 11 Aug 2021 09:19:28 GMT",
"version": "v1"
}
] | 2021-11-10 | [
[
"Gall",
"Louis",
""
],
[
"Mohaupt",
"Thomas",
""
]
] | String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry algebras in arbitrary dimension and signature, which generalizes the ideas underlying symplectic Majorana spinors. In our formalism R-symmetry acts on an auxiliary multiplicity space which makes its action manifest. This allows us to provide extensive tables which list the R-symmetry groups of extended supersymmetry algebras for all signatures together with other useful information. Twisted (`type-*') supersymmetry algebras in Lorentz signature with non-compact R-symmetry groups are shown to be part of a general pattern resulting from the interplay between complex superbrackets and reality conditions. As an application we show how the relations between type-II string theories in ten and nine dimensions can be extracted from their supersymmetry algebras. We also use our results to determine the special geometry of vector and hypermultiplet scalar manifolds of four-dimensional $\mathcal{N}=2$ and three-dimensional $\mathcal{N}=4$ supergravity theories for all signatures. |
0904.3750 | Joanna L. Karczmarek | Gianluca Grignani, Joanna L. Karczmarek and Gordon W. Semenoff | Hot Giant Loop Holography | 4 pages, 1 figure, final section updated | Phys.Rev.D82:027901,2010 | 10.1103/PhysRevD.82.027901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that there is a phase transition in the expectation value of the
Polyakov loop operator in the large N limit of the high temperature deconfined
phase of N=4 Yang-Mills theory on a spatial S^3. It occurs for large completely
symmetric representation of the SU(N) symmetry group. We speculate that this
transition is reflected in the string theory dual as a critical behavior of the
D3-brane duals of large representation loops.
| [
{
"created": "Fri, 24 Apr 2009 18:40:23 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2009 20:08:27 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Grignani",
"Gianluca",
""
],
[
"Karczmarek",
"Joanna L.",
""
],
[
"Semenoff",
"Gordon W.",
""
]
] | We argue that there is a phase transition in the expectation value of the Polyakov loop operator in the large N limit of the high temperature deconfined phase of N=4 Yang-Mills theory on a spatial S^3. It occurs for large completely symmetric representation of the SU(N) symmetry group. We speculate that this transition is reflected in the string theory dual as a critical behavior of the D3-brane duals of large representation loops. |
1202.5501 | Igor Bandos A. | Igor A. Bandos | Multiple M0-brane equations in eleven dimensional pp-wave superspace and
BMN matrix model | 14 pages, revtex4, no figures | null | 10.1103/PhysRevD.85.126005 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the Matrix model equations in the background of the maximally
supersymmetric pp-wave solution of the 11D supergravity and discuss its
relation with the Berenstein-Maldacena-Nastase (BMN) model.
| [
{
"created": "Fri, 24 Feb 2012 16:56:53 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Bandos",
"Igor A.",
""
]
] | We obtain the Matrix model equations in the background of the maximally supersymmetric pp-wave solution of the 11D supergravity and discuss its relation with the Berenstein-Maldacena-Nastase (BMN) model. |
hep-th/9809097 | Jean-Bernard Zuber | R. Behrend, P. Pearce, V. Petkova and J.-B. Zuber | On the Classification of Bulk and Boundary Conformal Field Theories | 7 pages, LaTeX; minor corrections | Phys.Lett. B444 (1998) 163-166 | 10.1016/S0370-2693(98)01374-4 | null | hep-th | null | The classification of rational conformal field theories is reconsidered from
the standpoint of boundary conditions. Solving Cardy's equation expressing the
consistency condition on a cylinder is equivalent to finding integer valued
representations of the fusion algebra. A complete solution not only yields the
admissible boundary conditions but also gives valuable information on the bulk
properties.
| [
{
"created": "Mon, 14 Sep 1998 16:46:44 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 1998 21:55:39 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Behrend",
"R.",
""
],
[
"Pearce",
"P.",
""
],
[
"Petkova",
"V.",
""
],
[
"Zuber",
"J. -B.",
""
]
] | The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued representations of the fusion algebra. A complete solution not only yields the admissible boundary conditions but also gives valuable information on the bulk properties. |
hep-th/0412016 | James Dent | R. Arnowitt and J. Dent | Gravitational Forces in the Brane World | Typos corrected, preliminary discussion of Goldberger-Wise mechanism
and acknowledgement added. Version to be published in PRD | Phys.Rev.D71:124024,2005 | 10.1103/PhysRevD.71.124024 | null | hep-th astro-ph hep-ph | null | We consider the problem of gravitational forces between point particles on
the branes in a Randall-Sundrum (R-S) two brane model with $S^1/Z_2$ symmetry.
Matter is assumed to produce a perturbation to the R-S vacuum metric and all
the 5D Einstein equations are solved to linearized order (for arbitrary matter
on both branes). We show that while the gauge condition $h_{i5} = 0, i=0,1,2,3$
can always be achieved without brane bending, the condition $h_{55} = 0$ leads
to large brane bending. The static potential arising from the zero modes and
the corrections due to the Kaluza-Klein (KK) modes are calculated.
Gravitational forces on the Planck ($y_1 = 0$) brane recover Newtonian physics
with small KK corrections (in accord with other work). However, forces on the
TeV ($y_2$) brane due to particles on that brane are strongly distorted by
large R-S exponentials.
| [
{
"created": "Wed, 1 Dec 2004 22:59:03 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2005 19:48:18 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jun 2005 20:14:36 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Arnowitt",
"R.",
""
],
[
"Dent",
"J.",
""
]
] | We consider the problem of gravitational forces between point particles on the branes in a Randall-Sundrum (R-S) two brane model with $S^1/Z_2$ symmetry. Matter is assumed to produce a perturbation to the R-S vacuum metric and all the 5D Einstein equations are solved to linearized order (for arbitrary matter on both branes). We show that while the gauge condition $h_{i5} = 0, i=0,1,2,3$ can always be achieved without brane bending, the condition $h_{55} = 0$ leads to large brane bending. The static potential arising from the zero modes and the corrections due to the Kaluza-Klein (KK) modes are calculated. Gravitational forces on the Planck ($y_1 = 0$) brane recover Newtonian physics with small KK corrections (in accord with other work). However, forces on the TeV ($y_2$) brane due to particles on that brane are strongly distorted by large R-S exponentials. |
2404.07884 | M\'ark Mezei | Hanzhi Jiang, M\'ark Mezei | New horizons for inhomogeneous quenches and Floquet CFT | 34 pages + appendices, 14 figures | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | A fruitful avenue in investigating out-of-equilibrium quantum many-body
systems is to abruptly change their Hamiltonian and study the subsequent
evolution of their quantum state. If this is done once, the setup is called a
quench, while if it is done periodically, it is called Floquet driving. We
consider the solvable setup of a two-dimensional CFT driven by Hamiltonians
built out of conformal symmetry generators: in this case, the quantum dynamics
can be understood using two-dimensional geometry. We investigate how the
dynamics is reflected in the holographic dual three-dimensional spacetime and
find new horizons. We argue that bulk operators behind the new horizons are
reconstructable by virtue of modular flow.
| [
{
"created": "Thu, 11 Apr 2024 16:15:33 GMT",
"version": "v1"
}
] | 2024-04-12 | [
[
"Jiang",
"Hanzhi",
""
],
[
"Mezei",
"Márk",
""
]
] | A fruitful avenue in investigating out-of-equilibrium quantum many-body systems is to abruptly change their Hamiltonian and study the subsequent evolution of their quantum state. If this is done once, the setup is called a quench, while if it is done periodically, it is called Floquet driving. We consider the solvable setup of a two-dimensional CFT driven by Hamiltonians built out of conformal symmetry generators: in this case, the quantum dynamics can be understood using two-dimensional geometry. We investigate how the dynamics is reflected in the holographic dual three-dimensional spacetime and find new horizons. We argue that bulk operators behind the new horizons are reconstructable by virtue of modular flow. |
1202.6016 | Edward Corrigan | E. Corrigan, C. Zambon | Infinite dimension reflection matrices in the sine-Gordon model with a
boundary | 11 pages, typos corrected, reference added, paragraph added at the
end of section 3 | JHEP06(2012)050 | 10.1007/JHEP06(2012)050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the sine-Gordon model as the prime example an alternative approach to
integrable boundary conditions for a theory restricted to a half-line is
proposed. The main idea is to explore the consequences of taking into account
the topological charge residing on the boundary and the fact it changes as
solitons in the bulk reflect from the boundary. In this context, reflection
matrices are intrinsically infinite dimensional, more general than the
two-parameter Ghoshal-Zamolodchikov reflection matrix, and related in an
intimate manner with defects.
| [
{
"created": "Mon, 27 Feb 2012 18:18:59 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2012 15:11:39 GMT",
"version": "v2"
}
] | 2012-06-12 | [
[
"Corrigan",
"E.",
""
],
[
"Zambon",
"C.",
""
]
] | Using the sine-Gordon model as the prime example an alternative approach to integrable boundary conditions for a theory restricted to a half-line is proposed. The main idea is to explore the consequences of taking into account the topological charge residing on the boundary and the fact it changes as solitons in the bulk reflect from the boundary. In this context, reflection matrices are intrinsically infinite dimensional, more general than the two-parameter Ghoshal-Zamolodchikov reflection matrix, and related in an intimate manner with defects. |
2012.08428 | Borut Bajc | Borut Bajc, Adrian Lugo and Francesco Sannino | The free and safe fate of symmetry non-restoration | 35 pages, section 2.2.5 and appendix C.5 added with new example of
symmetry non-restoration: two SU(Nc) groups, each with a scalar adjoint | Phys. Rev. D 103, 096014 (2021) | 10.1103/PhysRevD.103.096014 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the high temperature fate of four dimensional gauge-Yukawa
theories featuring short distance conformality of either interacting or
non-interacting nature. The latter is known as complete asymptotic freedom and,
as templates, we consider non-abelian gauge theories featuring either two
singlet scalars coupled to gauged fermions via Yukawa interactions or two
gauged scalars with(out) fermions. For theories with interacting fixed points
at short distance, known as asymptotically safe, we consider two calculable
examples.
Exploring the landscape of safe and free theories above we discover a class
of complete asymptotically free theories for which symmetry breaks at arbitrary
high temperatures. In its minimal form this class is constituted by a theory
with two fundamental gauged scalars each gauged under an independent group.
| [
{
"created": "Tue, 15 Dec 2020 17:10:09 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2021 10:40:07 GMT",
"version": "v2"
}
] | 2021-05-26 | [
[
"Bajc",
"Borut",
""
],
[
"Lugo",
"Adrian",
""
],
[
"Sannino",
"Francesco",
""
]
] | We investigate the high temperature fate of four dimensional gauge-Yukawa theories featuring short distance conformality of either interacting or non-interacting nature. The latter is known as complete asymptotic freedom and, as templates, we consider non-abelian gauge theories featuring either two singlet scalars coupled to gauged fermions via Yukawa interactions or two gauged scalars with(out) fermions. For theories with interacting fixed points at short distance, known as asymptotically safe, we consider two calculable examples. Exploring the landscape of safe and free theories above we discover a class of complete asymptotically free theories for which symmetry breaks at arbitrary high temperatures. In its minimal form this class is constituted by a theory with two fundamental gauged scalars each gauged under an independent group. |
hep-th/0609140 | Rachel Martins | R. A. D. Martins | Noncommutative geometry, topology and the standard model vacuum | 24 pages | J.Math.Phys.47:113507,2006 | 10.1063/1.2374880 | null | hep-th | null | As a ramification of a motivational discussion for previous joint work, in
which equations of motion for the finite spectral action of the Standard Model
were derived, we provide a new analysis of the results of the calculations
herein, switching from the perspective of Spectral triple to that of Fredholm
module and thus from the analogy with Riemannian geometry to the pre-metrical
structure of the Noncommutative geometry. Using a suggested Noncommutative
version of Morse theory together with algebraic $K$-theory to analyse the
vacuum solutions, the first two summands of the algebra for the finite triple
of the Standard Model arise up to Morita equivalence. We also demonstrate a new
vacuum solution whose features are compatible with the physical mass matrix.
| [
{
"created": "Wed, 20 Sep 2006 13:10:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Martins",
"R. A. D.",
""
]
] | As a ramification of a motivational discussion for previous joint work, in which equations of motion for the finite spectral action of the Standard Model were derived, we provide a new analysis of the results of the calculations herein, switching from the perspective of Spectral triple to that of Fredholm module and thus from the analogy with Riemannian geometry to the pre-metrical structure of the Noncommutative geometry. Using a suggested Noncommutative version of Morse theory together with algebraic $K$-theory to analyse the vacuum solutions, the first two summands of the algebra for the finite triple of the Standard Model arise up to Morita equivalence. We also demonstrate a new vacuum solution whose features are compatible with the physical mass matrix. |
2303.06786 | Marc Klinger | Marc S. Klinger, Robert G. Leigh, and Pin-Chun Pai | Extended Phase Space in General Gauge Theories | 30 pages, Latex, v1. In v2: references added, minor corrections made | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, it was shown that in diffeomorphism-invariant theories,
Noether charges associated with a given codimension-2 surface become integrable
if one introduces an extended phase space. In this paper we extend the notion
of extended phase space to all gauge theories with arbitrary combinations of
internal and spacetime local symmetries. We formulate this in terms of a
corresponding Atiyah Lie algebroid, a geometric object derived from a principal
bundle which features internal symmetries and diffeomorphisms on an equal
footing. In this language, gauge transformations are understood as morphisms
between Atiyah Lie algebroids that preserve the geometric structures encoded
therein. The extended configuration space of a gauge theory can subsequently be
understood as the space of pairs $(\varphi, \Phi)$, where $\varphi$ is a Lie
algebroid morphism and $\Phi$ is a field configuration in the non-extended
sense. Starting from this data, we outline a very powerful, manifestly
geometric approach to the extended phase space. Using this approach, we find
that the action of the group of gauge transformations and diffeomorphisms on
the symplectic geometry of any covariant theory is integrable. We motivate our
construction by carefully examining the need for extended phase space in
Chern-Simons gauge theories and display its usefulness by re-computing the
charge algebra. We also describe the implementation of the configuration
algebroid in Einstein-Yang-Mills theories.
| [
{
"created": "Mon, 13 Mar 2023 00:19:04 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2023 19:31:21 GMT",
"version": "v2"
}
] | 2023-07-13 | [
[
"Klinger",
"Marc S.",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Pai",
"Pin-Chun",
""
]
] | In a recent paper, it was shown that in diffeomorphism-invariant theories, Noether charges associated with a given codimension-2 surface become integrable if one introduces an extended phase space. In this paper we extend the notion of extended phase space to all gauge theories with arbitrary combinations of internal and spacetime local symmetries. We formulate this in terms of a corresponding Atiyah Lie algebroid, a geometric object derived from a principal bundle which features internal symmetries and diffeomorphisms on an equal footing. In this language, gauge transformations are understood as morphisms between Atiyah Lie algebroids that preserve the geometric structures encoded therein. The extended configuration space of a gauge theory can subsequently be understood as the space of pairs $(\varphi, \Phi)$, where $\varphi$ is a Lie algebroid morphism and $\Phi$ is a field configuration in the non-extended sense. Starting from this data, we outline a very powerful, manifestly geometric approach to the extended phase space. Using this approach, we find that the action of the group of gauge transformations and diffeomorphisms on the symplectic geometry of any covariant theory is integrable. We motivate our construction by carefully examining the need for extended phase space in Chern-Simons gauge theories and display its usefulness by re-computing the charge algebra. We also describe the implementation of the configuration algebroid in Einstein-Yang-Mills theories. |
1106.1330 | Dimitrios Zoakos | Veselin G. Filev, Dimitrios Zoakos | Towards Unquenched Holographic Magnetic Catalysis | 33 pages, 5 figures, v2: minor corrections and references added | JHEP 1108:022,2011 | 10.1007/JHEP08(2011)022 | MPP-2011-63, DIAS-STP-11-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a string dual to the SU(Nc) N=4 SYM coupled to Nf massless
fundamental flavors in an external magnetic field. The flavors are introduced
by homogeneously smeared Nf D7-branes and the external magnetic field via a
non-trivial Kalb-Ramond B-field. Our solution is perturbative in a parameter
that counts the number of internal flavor loops. In the limit of vanishing
B-field the background reduces to the supersymmetric one obtained in
hep-th/0612118. We introduce an additional probe D7--brane and in the
supersymmetric limit of vanishing B-field perform a holographic renormalization
of its "on-shell" action. We consider also non-supersymmetric probes with fixed
worldvolume gauge field corresponding to a magnetic field coupled only to the
fundamental fields of the probe brane. We study the influence of the
backreacted flavors on the effect of dynamical mass generation. Qualitatively
the physical picture remains unchanged. In the next step we consider the case
when the magnetic field couples to both the backreacted and the probe
fundamental degrees of freedom. At sufficiently strong magnetic field the meson
spectrum signals an instability of the probe D7-brane, which we interpret as
reflecting an instability of the supergravity background.
| [
{
"created": "Tue, 7 Jun 2011 12:39:17 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jun 2011 19:30:24 GMT",
"version": "v2"
}
] | 2011-08-10 | [
[
"Filev",
"Veselin G.",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We propose a string dual to the SU(Nc) N=4 SYM coupled to Nf massless fundamental flavors in an external magnetic field. The flavors are introduced by homogeneously smeared Nf D7-branes and the external magnetic field via a non-trivial Kalb-Ramond B-field. Our solution is perturbative in a parameter that counts the number of internal flavor loops. In the limit of vanishing B-field the background reduces to the supersymmetric one obtained in hep-th/0612118. We introduce an additional probe D7--brane and in the supersymmetric limit of vanishing B-field perform a holographic renormalization of its "on-shell" action. We consider also non-supersymmetric probes with fixed worldvolume gauge field corresponding to a magnetic field coupled only to the fundamental fields of the probe brane. We study the influence of the backreacted flavors on the effect of dynamical mass generation. Qualitatively the physical picture remains unchanged. In the next step we consider the case when the magnetic field couples to both the backreacted and the probe fundamental degrees of freedom. At sufficiently strong magnetic field the meson spectrum signals an instability of the probe D7-brane, which we interpret as reflecting an instability of the supergravity background. |
0910.3716 | Rafael Porto | Rafael A. Porto and A. Zee | Relaxing the cosmological constant in the extreme ultra-infrared | null | Class.Quant.Grav.27:065006,2010 | 10.1088/0264-9381/27/6/065006 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We speculate on the dynamical critical behavior of gravity in the extreme
ultra-infrared (EuIR) sector and a mechanism to relax the cosmological
constant. We show that in the EuIR the cosmological constant term could be made
irrelevant for values of the dynamical critical exponent z_EuIR greater than
one. We discuss a possible realization of this idea that connects the
relaxation of the cosmological constant to the ratio between the EuIR and IR
scales, where the latter serves as the 'UV' cutoff of our (ultra long distance)
effective theory, with z_IR ~ 1. For distances smaller than the IR regime
Lorentz invariance emerges. We entertain the possibility that the effective
description of the universe may not be Lorentz invariant at much larger scales.
We discuss why local physics cannot detect the 'natural' value for the density
of dark energy below the IR scale, and briefly comment on possible connections
with holography.
| [
{
"created": "Mon, 19 Oct 2009 22:40:07 GMT",
"version": "v1"
}
] | 2010-02-25 | [
[
"Porto",
"Rafael A.",
""
],
[
"Zee",
"A.",
""
]
] | We speculate on the dynamical critical behavior of gravity in the extreme ultra-infrared (EuIR) sector and a mechanism to relax the cosmological constant. We show that in the EuIR the cosmological constant term could be made irrelevant for values of the dynamical critical exponent z_EuIR greater than one. We discuss a possible realization of this idea that connects the relaxation of the cosmological constant to the ratio between the EuIR and IR scales, where the latter serves as the 'UV' cutoff of our (ultra long distance) effective theory, with z_IR ~ 1. For distances smaller than the IR regime Lorentz invariance emerges. We entertain the possibility that the effective description of the universe may not be Lorentz invariant at much larger scales. We discuss why local physics cannot detect the 'natural' value for the density of dark energy below the IR scale, and briefly comment on possible connections with holography. |
1810.11089 | Keiju Murata Dr | Takaaki Ishii, Keiju Murata | Black resonators and geons in AdS$_5$ | 27 pages, 9 figures | null | 10.1088/1361-6382/ab1d76 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct dynamical black hole solutions with a helical symmetry in
AdS$_5$, called black resonators, as well as their horizonless limits, called
geons. We introduce a cohomogeneity-1 metric describing a class of black
resonators and geons whose isometry group is $R\times SU(2)$. This allows us to
study them in a wide range of parameters. We obtain the phase diagram for the
black resonators, geons, and Myers-Perry-AdS$_5$, where the black resonators
emerge from the onset of a superradiant instability of the Myers-Perry-AdS$_5$
with equal angular momenta and are connected to the geons in the small horizon
limit. The angular velocities of the black resonators always satisfy $\Omega>1$
in units of the AdS radius. A black resonator is shown to have higher entropy
than a Myers-Perry-AdS$_5$ black hole with the same asymptotic charges. This
implies that the Myers-Perry-AdS$_5$ can dynamically evolve into the black
resonator under the exact $SU(2)$-symmetry although its endpoint will be
further unstable to $SU(2)$-violating perturbations.
| [
{
"created": "Thu, 25 Oct 2018 20:05:49 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Nov 2018 03:23:11 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Ishii",
"Takaaki",
""
],
[
"Murata",
"Keiju",
""
]
] | We construct dynamical black hole solutions with a helical symmetry in AdS$_5$, called black resonators, as well as their horizonless limits, called geons. We introduce a cohomogeneity-1 metric describing a class of black resonators and geons whose isometry group is $R\times SU(2)$. This allows us to study them in a wide range of parameters. We obtain the phase diagram for the black resonators, geons, and Myers-Perry-AdS$_5$, where the black resonators emerge from the onset of a superradiant instability of the Myers-Perry-AdS$_5$ with equal angular momenta and are connected to the geons in the small horizon limit. The angular velocities of the black resonators always satisfy $\Omega>1$ in units of the AdS radius. A black resonator is shown to have higher entropy than a Myers-Perry-AdS$_5$ black hole with the same asymptotic charges. This implies that the Myers-Perry-AdS$_5$ can dynamically evolve into the black resonator under the exact $SU(2)$-symmetry although its endpoint will be further unstable to $SU(2)$-violating perturbations. |
1706.04183 | Stefan Leichenauer | Chris Akers, Venkatesa Chandrasekaran, Stefan Leichenauer, Adam
Levine, Arvin Shahbazi Moghaddam | The Quantum Null Energy Condition, Entanglement Wedge Nesting, and
Quantum Focusing | 20+12 pages, 1 figure | Phys. Rev. D 101, 025011 (2020) | 10.1103/PhysRevD.101.025011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the consequences of Entanglement Wedge Nesting for CFTs with
holographic duals. The CFT is formulated on an arbitrary curved background, and
we include the effects of curvature-squared couplings in the bulk. In this
setup we find necessary and sufficient conditions for Entanglement Wedge
Nesting to imply the Quantum Null Energy Condition in $d\leq 5$, extending its
earlier holographic proofs. We also show that the Quantum Focusing Conjecture
yields the Quantum Null Energy Condition as its nongravitational limit under
these same conditions.
| [
{
"created": "Tue, 13 Jun 2017 17:55:24 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Akers",
"Chris",
""
],
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Leichenauer",
"Stefan",
""
],
[
"Levine",
"Adam",
""
],
[
"Moghaddam",
"Arvin Shahbazi",
""
]
] | We study the consequences of Entanglement Wedge Nesting for CFTs with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for Entanglement Wedge Nesting to imply the Quantum Null Energy Condition in $d\leq 5$, extending its earlier holographic proofs. We also show that the Quantum Focusing Conjecture yields the Quantum Null Energy Condition as its nongravitational limit under these same conditions. |
hep-th/0202038 | Gennadi Sardanashvily | G.Sardanashvily | Nonequivalent representations of nuclear algebras of canonical
commutation relations. Quantum fields | 23 pages | Int.J.Theor.Phys. 41 (2002) 1541-1562 | null | null | hep-th quant-ph | null | Non-Fock representations of the canonical commutation relations modeled over
an infinite-dimensional nuclear space are constructed in an explicit form. The
example of the nuclear space of smooth real functions of rapid decrease results
in nonequivalent quantizations of scalar fields.
| [
{
"created": "Wed, 6 Feb 2002 18:40:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sardanashvily",
"G.",
""
]
] | Non-Fock representations of the canonical commutation relations modeled over an infinite-dimensional nuclear space are constructed in an explicit form. The example of the nuclear space of smooth real functions of rapid decrease results in nonequivalent quantizations of scalar fields. |
1002.0375 | Inga Kuznetsova V | Inga Kuznetsova, Johann Rafelski | Unstable Hadrons in Hot Hadron Gas in Laboratory and in the Early
Universe | 13 pages, 9 figures, published in Physical Review C | Phys.Rev.C82:035203,2010 | 10.1103/PhysRevC.82.035203 | null | hep-th astro-ph.CO nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study kinetic master equations for chemical reactions involving the
formation and the natural decay of unstable particles in a thermal bath. We
consider the decay channel of one into two particles, and the inverse process,
fusion of two thermal particles into one. We present the master equations the
evolution of the density of the unstable particles in the early Universe. We
obtain the thermal invariant reaction rate using as an input the free space
(vacuum) decay time and show the medium quantum effects on $\pi+\pi
\leftrightarrow \rho$ reaction relaxation time. As another laboratory example
we describe the $K+K \leftrightarrow \phi$ process in thermal hadronic gas in
heavy-ion collisions. A particularly interesting application of our formalism
is the $\pi^{0}\leftrightarrow \gamma +\gamma$ process in the early Universe.
We also explore the physics of $\pi^{\pm}$ and $\mu^{\pm}$ freeze-out in the
Universe.
| [
{
"created": "Tue, 2 Feb 2010 08:16:26 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2010 07:19:43 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Kuznetsova",
"Inga",
""
],
[
"Rafelski",
"Johann",
""
]
] | We study kinetic master equations for chemical reactions involving the formation and the natural decay of unstable particles in a thermal bath. We consider the decay channel of one into two particles, and the inverse process, fusion of two thermal particles into one. We present the master equations the evolution of the density of the unstable particles in the early Universe. We obtain the thermal invariant reaction rate using as an input the free space (vacuum) decay time and show the medium quantum effects on $\pi+\pi \leftrightarrow \rho$ reaction relaxation time. As another laboratory example we describe the $K+K \leftrightarrow \phi$ process in thermal hadronic gas in heavy-ion collisions. A particularly interesting application of our formalism is the $\pi^{0}\leftrightarrow \gamma +\gamma$ process in the early Universe. We also explore the physics of $\pi^{\pm}$ and $\mu^{\pm}$ freeze-out in the Universe. |
1210.8446 | Rodrigo Ferreira Sobreiro | R. F. Sobreiro, A. A. Tomaz, V. J. Vasquez Otoya | Gauge theories and gravity | 6pp. No figues. Seminar presented at the 7th International Conference
on Mathematical Methods in Physics - Joint Conference:
CBPF-IMPA-ICTP-SISSA-TWAS, CBPF, Rio de Janeiro, April 16-20 2012 | PoS (ICMP 2012) 019 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in
four-dimensional Euclidean spacetime, are studied. It is shown that, if the
theory is asymptotically free and a dynamical mass is generated, then an
effective geometry may be induced and a gravity theory emerges.
| [
{
"created": "Wed, 31 Oct 2012 19:33:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2012 16:03:28 GMT",
"version": "v2"
}
] | 2012-12-13 | [
[
"Sobreiro",
"R. F.",
""
],
[
"Tomaz",
"A. A.",
""
],
[
"Otoya",
"V. J. Vasquez",
""
]
] | Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective geometry may be induced and a gravity theory emerges. |
hep-th/0112072 | Pierre van Baal | Pierre van Baal | The Witten Index Beyond the Adiabatic Approximation | 29 pages, latex, 6 figures (in 9 parts); now including numerical
results for the wave function, version as it will appear in the Michael
Marinov Memorial Volume, "Multiple facets of quantization and supersymmetry",
edited by M. Olshanetsky and A. Vainshtein (World Scientific) | null | 10.1142/9789812777065_0032 | INLO-PUB-05/01 | hep-th | null | We attempt to deal with the orbifold singularities in the moduli space of
flat connections for supersymmetric gauge theories on the torus. At these
singularities the energy gap in the transverse fluctuations vanishes and the
resulting breakdown of the adiabatic approximation is resolved by considering
the full set of zero-momentum fields. These can not be defined globally, due to
the problem of Gribov copies. For this reason we restrict the fields to the
fundamental domain, containing no gauge copies, but requiring a boundary
condition in field space.
| [
{
"created": "Mon, 10 Dec 2001 13:13:31 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2002 14:53:44 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"van Baal",
"Pierre",
""
]
] | We attempt to deal with the orbifold singularities in the moduli space of flat connections for supersymmetric gauge theories on the torus. At these singularities the energy gap in the transverse fluctuations vanishes and the resulting breakdown of the adiabatic approximation is resolved by considering the full set of zero-momentum fields. These can not be defined globally, due to the problem of Gribov copies. For this reason we restrict the fields to the fundamental domain, containing no gauge copies, but requiring a boundary condition in field space. |
1504.02683 | Emauele Latini | Fiorenzo Bastianelli, Roberto Bonezzi, Olindo Corradini and Emanuele
Latini | Spinning particles and higher spin field equations | 10 pages, updated references. To appear in Proceedings of Victor
Villanueva Memorial Workshop | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relativistic particles with higher spin can be described in first
quantization using actions with local supersymmetry on the worldline. First, we
present a brief review of these actions and their use in first quantization. In
a Dirac quantization scheme the field equations emerge as Dirac constraints on
the Hilbert space, and we outline how they lead to the description of higher
spin fields in terms of the more standard Fronsdal-Labastida equations. Then,
we describe how these actions can be extended so that the propagating particle
is allowed to take different values of the spin, i.e. carry a reducible
representation of the Poincar\'e group. This way one may identify a four
dimensional model that carries the same degrees of freedom of the minimal
Vasiliev's interacting higher spin field theory. Extensions to massive
particles and to propagation on (A)dS spaces are also briefly commented upon.
| [
{
"created": "Fri, 10 Apr 2015 13:56:19 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Apr 2015 17:12:23 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jul 2015 15:55:58 GMT",
"version": "v3"
}
] | 2015-07-15 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Bonezzi",
"Roberto",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Latini",
"Emanuele",
""
]
] | Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincar\'e group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon. |
2307.07305 | Danilo Moreira | D. C. Moreira, A. S. Lemos and F. A. Brito | Charged Lifshitz black holes from general covariance breaking | Text and figures improvements, corrected typos, references added.
Published in Classical and Quantum Gravity | null | 10.1088/1361-6382/ad1d47 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we use a general covariance breaking method to obtain a class of
topological charged black holes whose background geometry asymptotically
approaches Lifshitz spacetimes. We discuss how this mechanism affects
Einstein's equations and explore the thermodynamics and critical behavior of
the solution found.
| [
{
"created": "Fri, 14 Jul 2023 12:29:57 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2023 11:29:46 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Oct 2023 16:21:14 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Dec 2023 14:06:43 GMT",
"version": "v4"
},
{
"c... | 2024-01-24 | [
[
"Moreira",
"D. C.",
""
],
[
"Lemos",
"A. S.",
""
],
[
"Brito",
"F. A.",
""
]
] | In this work we use a general covariance breaking method to obtain a class of topological charged black holes whose background geometry asymptotically approaches Lifshitz spacetimes. We discuss how this mechanism affects Einstein's equations and explore the thermodynamics and critical behavior of the solution found. |
hep-th/0401184 | Yuji Tachikawa | Yuji Tachikawa (Univ. of Tokyo) | Five-dimensional Chern-Simons terms and Nekrasov's instanton counting | 12 pages | JHEP 0402 (2004) 050 | 10.1088/1126-6708/2004/02/050 | UT-04-01 | hep-th | null | We extend the graviphoton-corrected prepotential of five-dimensional pure
U(N) super Yang-Mills, which was originally proposed by Nekrasov, by
incorporating the effect of the five-dimensional Chern-Simons term. This
extension allows us to reproduce by a gauge theory calculation the partition
functions of corresponding topological A-model on local toric Calabi-Yau
manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the
case m=0.
| [
{
"created": "Sun, 25 Jan 2004 13:06:55 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Tachikawa",
"Yuji",
"",
"Univ. of Tokyo"
]
] | We extend the graviphoton-corrected prepotential of five-dimensional pure U(N) super Yang-Mills, which was originally proposed by Nekrasov, by incorporating the effect of the five-dimensional Chern-Simons term. This extension allows us to reproduce by a gauge theory calculation the partition functions of corresponding topological A-model on local toric Calabi-Yau manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the case m=0. |
1403.1393 | Ali Mollabashi | Ali Mollabashi, Noburo Shiba, Tadashi Takayanagi | Entanglement between Two Interacting CFTs and Generalized Holographic
Entanglement Entropy | 37 pages, 7 figures, v2: typos corrected, references added, v3: a
ref. + a clarification note about minimal surfaces added | null | 10.1007/JHEP04(2014)185 | YITP-14-18, IPMU-14-0049, IPM/P-2014/010 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss behaviors of entanglement entropy between two
interacting CFTs and its holographic interpretation using the AdS/CFT
correspondence. We explicitly perform analytical calculations of entanglement
entropy between two free scalar field theories which are interacting with each
other in both static and time-dependent ways. We also conjecture a holographic
calculation of entanglement entropy between two interacting $\mathcal{N}=4$
super Yang-Mills theories by introducing a minimal surface in the S$^5$
direction, instead of the AdS$_5$ direction. This offers a possible
generalization of holographic entanglement entropy.
| [
{
"created": "Thu, 6 Mar 2014 10:14:03 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Mar 2014 06:08:07 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Oct 2014 05:01:37 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Mollabashi",
"Ali",
""
],
[
"Shiba",
"Noburo",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two free scalar field theories which are interacting with each other in both static and time-dependent ways. We also conjecture a holographic calculation of entanglement entropy between two interacting $\mathcal{N}=4$ super Yang-Mills theories by introducing a minimal surface in the S$^5$ direction, instead of the AdS$_5$ direction. This offers a possible generalization of holographic entanglement entropy. |
0807.3539 | Francisco Diego Mazzitelli | C. D. Fosco, F. C. Lombardo, and F. D. Mazzitelli | Casimir effect with dynamical matter on thin mirrors | 9 pages, no figures. Minor changes. Version to appear in Phys. Lett.
B | Phys.Lett.B669:371-375,2008 | 10.1016/j.physletb.2008.10.004 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the Casimir energy for scalar and gauge fields in interaction
with zero-width mirrors, including quantum effects due to the matter fields
inside the mirrors. We consider models where those fields are either scalar or
fermionic, obtaining general expressions for the energy as a function of the
vacuum field 1PI function. We also study, within the frame of a concrete model,
the role of the dissipation induced by those degrees of freedom, showing that,
after integration of the matter fields, the effective theory for the
electromagnetic field contains modes with complex energies. As for the case of
Lifshitz formula, we show that the formal result obtained by neglecting
dissipation coincides with the correct result that comes from the quantum
fluctuations of both bulk and matter fields.
| [
{
"created": "Tue, 22 Jul 2008 19:20:26 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2008 15:02:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fosco",
"C. D.",
""
],
[
"Lombardo",
"F. C.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] | We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic, obtaining general expressions for the energy as a function of the vacuum field 1PI function. We also study, within the frame of a concrete model, the role of the dissipation induced by those degrees of freedom, showing that, after integration of the matter fields, the effective theory for the electromagnetic field contains modes with complex energies. As for the case of Lifshitz formula, we show that the formal result obtained by neglecting dissipation coincides with the correct result that comes from the quantum fluctuations of both bulk and matter fields. |
2103.13664 | He Ke Jian | Ke-Jian He, Sen Guo, Shuang-Cheng Tan, Guo-Ping Li | The feature of shadow images and observed luminosity of the Bardeen
black hole surrounded by different accretions | 21 pages, 10 figures | null | 10.1088/1674-1137/ac67fe | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, by exploring the photon motion in the region near the Bardeen
black hole, the shadow and observation properties of the black hole surrounded
by various accretion models are studied. We analyzed the changes in shadow
imaging and observation luminosity when the relevant physical parameters are
changed. For the different spherical accretions background, one can find that
the radius of shadow and the position of photon sphere do not change, but the
observation intensity of shadow in the infalling accretion model is
significantly lower than that of the static case. When the black hole is
surrounded by an optically and thin disk accretion, the contribution of the
photon rings, lensing rings and direct emission to the total observed flux has
also been studied. Under the different forms of the emission modes, the result
shows that the observed brightness is mainly determined by direct emission,
while the lensing rings will provide a small part of the observation flux and
the photon ring can provide a negligible observation flux. By comparing our
results with the Schwarzschild spacetime, it is found that the existence or
change of relevant status parameters will greatly affect the shape and
observation intensity of black hole shadow. These results support that the
change of state parameter will affect the spacetime structure, thus affecting
the observation feature of black hole shadows.
| [
{
"created": "Thu, 25 Mar 2021 08:31:51 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Feb 2022 10:14:14 GMT",
"version": "v2"
}
] | 2022-08-17 | [
[
"He",
"Ke-Jian",
""
],
[
"Guo",
"Sen",
""
],
[
"Tan",
"Shuang-Cheng",
""
],
[
"Li",
"Guo-Ping",
""
]
] | In this paper, by exploring the photon motion in the region near the Bardeen black hole, the shadow and observation properties of the black hole surrounded by various accretion models are studied. We analyzed the changes in shadow imaging and observation luminosity when the relevant physical parameters are changed. For the different spherical accretions background, one can find that the radius of shadow and the position of photon sphere do not change, but the observation intensity of shadow in the infalling accretion model is significantly lower than that of the static case. When the black hole is surrounded by an optically and thin disk accretion, the contribution of the photon rings, lensing rings and direct emission to the total observed flux has also been studied. Under the different forms of the emission modes, the result shows that the observed brightness is mainly determined by direct emission, while the lensing rings will provide a small part of the observation flux and the photon ring can provide a negligible observation flux. By comparing our results with the Schwarzschild spacetime, it is found that the existence or change of relevant status parameters will greatly affect the shape and observation intensity of black hole shadow. These results support that the change of state parameter will affect the spacetime structure, thus affecting the observation feature of black hole shadows. |
hep-th/0208178 | Niklas Beisert | N. Beisert, C. Kristjansen, J. Plefka, G.W. Semenoff, M. Staudacher | BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory | 44 pages, 10 figures; v2: minor changes, to appear in Nucl. Phys. B | Nucl.Phys.B650:125-161,2003 | 10.1016/S0550-3213(02)01025-8 | AEI 2002-061 | hep-th | null | Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory
are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate
that non-extremal four-point functions of chiral primary fields are ill-defined
in that limit. This lends support to the assertion that only gauge theoretic
two-point functions should be compared to pp-wave strings. We further refine
the analysis of the recently discovered non-planar corrections to the planar
BMN limit. In particular, a full resolution to the genus one operator mixing
problem is presented, leading to modifications in the map between BMN operators
and string states. We give a perturbative construction of the correct operators
and we identify their anomalous dimensions. We also distinguish symmetric,
antisymmetric and singlet operators and find, interestingly, the same torus
anomalous dimension for all three. Finally, it is discussed how operator mixing
effects modify three point functions at the classical level and, at one loop,
allow us to recover conformal invariance.
| [
{
"created": "Mon, 26 Aug 2002 19:34:12 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2002 10:34:40 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Beisert",
"N.",
""
],
[
"Kristjansen",
"C.",
""
],
[
"Plefka",
"J.",
""
],
[
"Semenoff",
"G. W.",
""
],
[
"Staudacher",
"M.",
""
]
] | Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that limit. This lends support to the assertion that only gauge theoretic two-point functions should be compared to pp-wave strings. We further refine the analysis of the recently discovered non-planar corrections to the planar BMN limit. In particular, a full resolution to the genus one operator mixing problem is presented, leading to modifications in the map between BMN operators and string states. We give a perturbative construction of the correct operators and we identify their anomalous dimensions. We also distinguish symmetric, antisymmetric and singlet operators and find, interestingly, the same torus anomalous dimension for all three. Finally, it is discussed how operator mixing effects modify three point functions at the classical level and, at one loop, allow us to recover conformal invariance. |
1907.00990 | Uri Kol | Uri Kol and Massimo Porrati | Properties of Dual Supertranslation Charges in Asymptotically Flat
Spacetimes | 39 pages, 6 figures. v2: typos corrected, published in PRD | Phys. Rev. D 100, 046019 (2019) | 10.1103/PhysRevD.100.046019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study several properties of some new charges of asymptotically flat
spacetimes. These dual supertranslation charges are akin to the magnetic large
$U(1)$ charges in QED. In this paper we find the symmetries associated with
these charges and show that the global dual supertranslation charge is
topological because it is invariant under globally defined, smooth variations
of the asymptotic metric. We also exhibit spacetimes where the charge does not
vanish and we find dynamical processes that interpolate between regions with
different values of these charges.
| [
{
"created": "Mon, 1 Jul 2019 18:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 2020 00:29:00 GMT",
"version": "v2"
}
] | 2020-03-23 | [
[
"Kol",
"Uri",
""
],
[
"Porrati",
"Massimo",
""
]
] | We study several properties of some new charges of asymptotically flat spacetimes. These dual supertranslation charges are akin to the magnetic large $U(1)$ charges in QED. In this paper we find the symmetries associated with these charges and show that the global dual supertranslation charge is topological because it is invariant under globally defined, smooth variations of the asymptotic metric. We also exhibit spacetimes where the charge does not vanish and we find dynamical processes that interpolate between regions with different values of these charges. |
hep-th/9911008 | Jean-Loup Gervais | Jean-Loup Gervais | Backlund Transformations in 10D susy Yang-Mills Theories | 13 pages Latex, Contribution to Y. Golfand Memorial Volume | null | 10.1142/9789812793850_0010 | LPTENS-99/41 | hep-th math-ph math.MP nlin.SI solv-int | null | This is a continuation of hep-th/9811108, hep-th/9903218, hep-th/9910235, on
exact integration technics for modified dynamical equations in ten dimensional
supersymmetric gauge theory. A B\"acklund transformation is derived for the
Yang type (super) equations previously derived (hep-th/9811108) by M. Saveliev
and the author, from the ten dimensional super Yang-Mills field equations in an
on-shell light cone gauge. It is shown to be based upon a particular gauge
transformation satisfying nonlinear conditions which ensure that the particular
form of the equations is retained. These Yang type field equations are shown to
be precisely such that they automatically provide a solution of these
conditions. This B\"acklund transformation is similar to the one proposed by A.
Lesnov for self-dual Yang-Mills in four dimensions. In the introduction a
personal recollection on the birth of supersymmetry is given.
| [
{
"created": "Tue, 2 Nov 1999 16:57:25 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Gervais",
"Jean-Loup",
""
]
] | This is a continuation of hep-th/9811108, hep-th/9903218, hep-th/9910235, on exact integration technics for modified dynamical equations in ten dimensional supersymmetric gauge theory. A B\"acklund transformation is derived for the Yang type (super) equations previously derived (hep-th/9811108) by M. Saveliev and the author, from the ten dimensional super Yang-Mills field equations in an on-shell light cone gauge. It is shown to be based upon a particular gauge transformation satisfying nonlinear conditions which ensure that the particular form of the equations is retained. These Yang type field equations are shown to be precisely such that they automatically provide a solution of these conditions. This B\"acklund transformation is similar to the one proposed by A. Lesnov for self-dual Yang-Mills in four dimensions. In the introduction a personal recollection on the birth of supersymmetry is given. |
hep-th/0004047 | Solange Odile Saliu | C. Bizdadea, A. Constantin, S. O. Saliu | Note on irreducible approach to reducible second-class constraints | Latex 2.09, 9 pages, to appear in Europhys. Lett | Europhys.Lett.49:169-174,2000 | 10.1209/epl/i2000-00128-3 | null | hep-th | null | An irreducible canonical approach to reducible second-class constraints is
given. The procedure is illustrated on gauge-fixed two-forms.
| [
{
"created": "Fri, 7 Apr 2000 11:37:06 GMT",
"version": "v1"
}
] | 2010-12-17 | [
[
"Bizdadea",
"C.",
""
],
[
"Constantin",
"A.",
""
],
[
"Saliu",
"S. O.",
""
]
] | An irreducible canonical approach to reducible second-class constraints is given. The procedure is illustrated on gauge-fixed two-forms. |
2310.15893 | Kang Zhou | Kang Zhou | New recursive construction for tree NLSM and SG amplitudes, and new
understanding of enhanced Adler zero | 36 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We propose a new bottom up method to construct tree amplitudes of non-linear
sigma model (NLSM) and special Galileon theory (SG), based on assuming the
universality of soft behaviors and the double copy structure. We extend the
on-shell amplitudes to off-shell ones with two off-shell external legs, which
allow the numbers of external legs to be odd. Then the $3$-point and $4$-point
off-shell amplitudes can be bootstrapped, and the soft behaviors of $4$-point
NLSM and SG amplitudes can be derived from them. The universality of soft
behaviors allows us to invert the resulted soft theorems to construct
higher-point off-shell amplitudes recursively, and express them in the formula
of expansions to tree amplitudes of bi-adjoint scalar theory. We emphasize that
the exact forms of universal soft behaviors are derived, rather than assumed as
the input. Back to the on-shell limit, amplitudes with odd numbers of external
legs vanish automatically, and the enhanced Adler zero emerge. From the bottom
up perspective without the aid of a Lagrangian, the enhanced Adler zero are
understood as that soft behaviors vanish faster than the degree expected from
the naive power counting of soft momentum in the formula of expansions.
Interestingly, such "zero" have explicit formulas and can be interpreted
naturally. For tree amplitudes of Born-Infeld and Dirac-Born-Infeld theories,
our method for construction does not make sense, but the enhanced Adler zero
can be studied similarly.
| [
{
"created": "Tue, 24 Oct 2023 14:49:40 GMT",
"version": "v1"
}
] | 2023-10-25 | [
[
"Zhou",
"Kang",
""
]
] | We propose a new bottom up method to construct tree amplitudes of non-linear sigma model (NLSM) and special Galileon theory (SG), based on assuming the universality of soft behaviors and the double copy structure. We extend the on-shell amplitudes to off-shell ones with two off-shell external legs, which allow the numbers of external legs to be odd. Then the $3$-point and $4$-point off-shell amplitudes can be bootstrapped, and the soft behaviors of $4$-point NLSM and SG amplitudes can be derived from them. The universality of soft behaviors allows us to invert the resulted soft theorems to construct higher-point off-shell amplitudes recursively, and express them in the formula of expansions to tree amplitudes of bi-adjoint scalar theory. We emphasize that the exact forms of universal soft behaviors are derived, rather than assumed as the input. Back to the on-shell limit, amplitudes with odd numbers of external legs vanish automatically, and the enhanced Adler zero emerge. From the bottom up perspective without the aid of a Lagrangian, the enhanced Adler zero are understood as that soft behaviors vanish faster than the degree expected from the naive power counting of soft momentum in the formula of expansions. Interestingly, such "zero" have explicit formulas and can be interpreted naturally. For tree amplitudes of Born-Infeld and Dirac-Born-Infeld theories, our method for construction does not make sense, but the enhanced Adler zero can be studied similarly. |
hep-th/0308093 | Andrei A. Smirnov | S.P. Gavrilov (UNESP, Brazil), D.M. Gitman (U. of Sao Paulo), A.A.
Smirnov (U. of Sao Paulo), and B.L. Voronov (Lebedev Institute) | Dirac fermions in a magnetic-solenoid field | 33 pages, 2 figures, LaTex file; misprints corrected | published in "Focus on Mathematical Physics Research" (Nova
Science Publishers, New York, 2004), pp. 131-168 | 10.1140/epjcd/s2003-01-009-1 | null | hep-th math-ph math.MP quant-ph | null | We consider the Dirac equation with a magnetic-solenoid field (the
superposition of the Aharonov--Bohm solenoid field and a collinear uniform
magnetic field). Using von Neumann's theory of the self-adjoint extensions of
symmetric operators, we construct a one-parameter family and a two-parameter
family of self-adjoint Dirac Hamiltonians in the respective 2+1 and 3+1
dimensions. Each Hamiltonian is specified by certain asymptotic boundary
conditions at the solenoid. We find the spectrum and eigenfunctions for all
values of the extension parameters. We also consider the case of a regularized
magnetic-solenoid field (with a finite-radius solenoid field component) and
study the dependence of the eigenfunctions on the behavior of the magnetic
field inside the solenoid. The zero-radius limit yields a concrete self-adjoint
Hamiltonian for the case of the magnetic-solenoid field. In addition, we
consider the spinless particle in the regularized magnetic-solenoid field. By
the example of the radial Dirac Hamiltonian with the magnetic-solenoid field,
we present an alternative, more simple and efficient, method for constructing
self-adjoint extensions applicable to a wide class of singular differential
operators.
| [
{
"created": "Thu, 14 Aug 2003 19:23:38 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 2004 20:32:36 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gavrilov",
"S. P.",
"",
"UNESP, Brazil"
],
[
"Gitman",
"D. M.",
"",
"U. of Sao Paulo"
],
[
"Smirnov",
"A. A.",
"",
"U. of Sao Paulo"
],
[
"Voronov",
"B. L.",
"",
"Lebedev Institute"
]
] | We consider the Dirac equation with a magnetic-solenoid field (the superposition of the Aharonov--Bohm solenoid field and a collinear uniform magnetic field). Using von Neumann's theory of the self-adjoint extensions of symmetric operators, we construct a one-parameter family and a two-parameter family of self-adjoint Dirac Hamiltonians in the respective 2+1 and 3+1 dimensions. Each Hamiltonian is specified by certain asymptotic boundary conditions at the solenoid. We find the spectrum and eigenfunctions for all values of the extension parameters. We also consider the case of a regularized magnetic-solenoid field (with a finite-radius solenoid field component) and study the dependence of the eigenfunctions on the behavior of the magnetic field inside the solenoid. The zero-radius limit yields a concrete self-adjoint Hamiltonian for the case of the magnetic-solenoid field. In addition, we consider the spinless particle in the regularized magnetic-solenoid field. By the example of the radial Dirac Hamiltonian with the magnetic-solenoid field, we present an alternative, more simple and efficient, method for constructing self-adjoint extensions applicable to a wide class of singular differential operators. |
hep-th/9407099 | null | A.A. Tseytlin | Exact string solutions and duality | 31 p., harvmac, Imperial/TP/93-94/46 | null | null | null | hep-th | null | We review known exact classical solutions in (bosonic) string theory. The
main classes of solutions are `cosets' (gauged WZW models), `plane wave'-type
backgrounds (admitting a covariantly constant null Killing vector) and
`$F$-models' (backgrounds with two null Killing vectors generalising the
`fundamental string' solution). The recently constructed $D=4$ solutions with
Minkowski signature are given explicitly. We consider various relations between
these solutions and, in particular, discuss some aspects of the duality
symmetry. [To appear in the Proceedings of the 2nd Journe'e Cosmologie,
Observatoire de Paris, June 2-4, 1994.]
| [
{
"created": "Sun, 17 Jul 1994 11:43:50 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 1994 10:18:27 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Tseytlin",
"A. A.",
""
]
] | We review known exact classical solutions in (bosonic) string theory. The main classes of solutions are `cosets' (gauged WZW models), `plane wave'-type backgrounds (admitting a covariantly constant null Killing vector) and `$F$-models' (backgrounds with two null Killing vectors generalising the `fundamental string' solution). The recently constructed $D=4$ solutions with Minkowski signature are given explicitly. We consider various relations between these solutions and, in particular, discuss some aspects of the duality symmetry. [To appear in the Proceedings of the 2nd Journe'e Cosmologie, Observatoire de Paris, June 2-4, 1994.] |
hep-th/9608063 | Terry Gannon | Terry Gannon | $U(1)^m$ modular invariants, N=2 minimal models, and the quantum Hall
effect | plain tex, 28 pages | Nucl.Phys. B491 (1997) 659-688 | 10.1016/S0550-3213(97)00032-1 | null | hep-th cond-mat | null | The problem of finding all possible effective field theories for the quantum
Hall effect is closely related to the problem of classifying all possible
modular invariant partition functions for the algebra $u(1)^m$, as was argued
recently by Cappelli and Zemba. This latter problem is also a natural one from
the perspective of conformal field theory. In this paper we completely solve
this problem, expressing the answer in terms of self-dual lattices, or
equivalently, rational points on the dual Grassmannian $G_{m,m}(R)^*$. We also
find all modular invariant partition functions for $su(2)\oplus u(1)^m$, from
which we obtain the classification of all N=2 superconformal minimal models.
The `A-D-E classification' of these, though often quoted in the literature,
turns out to be a very coarse-grained one: e.g. associated with the names
$E_6,E_7,E_8$, respectively, are precisely 20,30,24 different partition
functions. As a by-product of our analysis, we find that the list of modular
invariants for su(2) lengthens surprisingly little when commutation with T --
i.e. invariance under $\tau \mapsto \tau+1$ -- is ignored: the other conditions
are far more essential.
| [
{
"created": "Sun, 11 Aug 1996 19:22:31 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gannon",
"Terry",
""
]
] | The problem of finding all possible effective field theories for the quantum Hall effect is closely related to the problem of classifying all possible modular invariant partition functions for the algebra $u(1)^m$, as was argued recently by Cappelli and Zemba. This latter problem is also a natural one from the perspective of conformal field theory. In this paper we completely solve this problem, expressing the answer in terms of self-dual lattices, or equivalently, rational points on the dual Grassmannian $G_{m,m}(R)^*$. We also find all modular invariant partition functions for $su(2)\oplus u(1)^m$, from which we obtain the classification of all N=2 superconformal minimal models. The `A-D-E classification' of these, though often quoted in the literature, turns out to be a very coarse-grained one: e.g. associated with the names $E_6,E_7,E_8$, respectively, are precisely 20,30,24 different partition functions. As a by-product of our analysis, we find that the list of modular invariants for su(2) lengthens surprisingly little when commutation with T -- i.e. invariance under $\tau \mapsto \tau+1$ -- is ignored: the other conditions are far more essential. |
2403.15775 | Kenichi Konishi | Kenichi Konishi, Stefano Bolognesi, Andrea Luzio | Anomalies and Dynamics in Strongly-Coupled Gauge Theories, New Criteria
for Different Phases, and a Lesson from Supersymmetric Gauge Theories | 33 pages, 6 figures, Contribution to Corfu Summer Insitute, 2023 | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We review recent developments in our understanding of the dynamics of
strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems
which are potentially important in our quest to go beyond the standard
$SU(3)_{QCD} \times (SU(2) \times U(1))_{GWS}$ model of the fundamental
interactions. The generalized symmetries and associated new 't Hooft
anomaly-matching constraints allow us to exclude, in a wide class of chiral
gauge theories, confining vacuum with full flavor symmetries supported by a set
of color-singlet massless composite fermions. The color-flavor-locked dynamical
Higgs phase, dynamical Abelianization or more general symmetry breaking phase,
appear as plausible IR dynamics, depending on the massless matter fermions
present. We revisit and discuss critically several well-known confinement
criteria in the literature, for both chiral and vectorlike gauge theories, and
propose tentative, new criteria for discriminating different phases. Finally,
we review an idea which might sound rather surprising at first, but is indeed
realized in some softly-broken supersymmetric theories, that confinement in QCD
is a small deformation (in the IR end of the renormalization-group flow) of a
strongly-coupled, nonlocal, nonAbelian conformal fixed point.
| [
{
"created": "Sat, 23 Mar 2024 09:12:00 GMT",
"version": "v1"
}
] | 2024-03-26 | [
[
"Konishi",
"Kenichi",
""
],
[
"Bolognesi",
"Stefano",
""
],
[
"Luzio",
"Andrea",
""
]
] | We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times (SU(2) \times U(1))_{GWS}$ model of the fundamental interactions. The generalized symmetries and associated new 't Hooft anomaly-matching constraints allow us to exclude, in a wide class of chiral gauge theories, confining vacuum with full flavor symmetries supported by a set of color-singlet massless composite fermions. The color-flavor-locked dynamical Higgs phase, dynamical Abelianization or more general symmetry breaking phase, appear as plausible IR dynamics, depending on the massless matter fermions present. We revisit and discuss critically several well-known confinement criteria in the literature, for both chiral and vectorlike gauge theories, and propose tentative, new criteria for discriminating different phases. Finally, we review an idea which might sound rather surprising at first, but is indeed realized in some softly-broken supersymmetric theories, that confinement in QCD is a small deformation (in the IR end of the renormalization-group flow) of a strongly-coupled, nonlocal, nonAbelian conformal fixed point. |
0912.4912 | Jacob Bourjaily | Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachazo, Jaroslav Trnka | Unification of Residues and Grassmannian Dualities | 56 pages, 11 figures; v2: typos corrected, minor improvements | JHEP 1101:049,2011 | 10.1007/JHEP01(2011)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conjectured duality relating all-loop leading singularities of n-particle
N^(k-2)MHV scattering amplitudes in N=4 SYM to a simple contour integral over
the Grassmannian G(k,n) makes all the symmetries of the theory manifest. Every
residue is individually Yangian invariant, but does not have a local space-time
interpretation--only a special sum over residues gives physical amplitudes. In
this paper we show that the sum over residues giving tree amplitudes can be
unified into a single algebraic variety, which we explicitly construct for all
NMHV and N^2MHV amplitudes. Remarkably, this allows the contour integral to
have a "particle interpretation" in the Grassmannian, where higher-point
amplitudes can be constructed from lower-point ones by adding one particle at a
time, with soft limits manifest. We move on to show that the connected
prescription for tree amplitudes in Witten's twistor string theory also admits
a Grassmannian particle interpretation, where the integral over the
Grassmannian localizes over the Veronese map from G(2,n) to G(k,n). These
apparently very different theories are related by a natural deformation with a
parameter t that smoothly interpolates between them. For NMHV amplitudes, we
use a simple residue theorem to prove t-independence of the result, thus
establishing a novel kind of duality between these theories.
| [
{
"created": "Wed, 30 Dec 2009 20:53:16 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 20:31:26 GMT",
"version": "v2"
}
] | 2011-01-17 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Bourjaily",
"Jacob",
""
],
[
"Cachazo",
"Freddy",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | The conjectured duality relating all-loop leading singularities of n-particle N^(k-2)MHV scattering amplitudes in N=4 SYM to a simple contour integral over the Grassmannian G(k,n) makes all the symmetries of the theory manifest. Every residue is individually Yangian invariant, but does not have a local space-time interpretation--only a special sum over residues gives physical amplitudes. In this paper we show that the sum over residues giving tree amplitudes can be unified into a single algebraic variety, which we explicitly construct for all NMHV and N^2MHV amplitudes. Remarkably, this allows the contour integral to have a "particle interpretation" in the Grassmannian, where higher-point amplitudes can be constructed from lower-point ones by adding one particle at a time, with soft limits manifest. We move on to show that the connected prescription for tree amplitudes in Witten's twistor string theory also admits a Grassmannian particle interpretation, where the integral over the Grassmannian localizes over the Veronese map from G(2,n) to G(k,n). These apparently very different theories are related by a natural deformation with a parameter t that smoothly interpolates between them. For NMHV amplitudes, we use a simple residue theorem to prove t-independence of the result, thus establishing a novel kind of duality between these theories. |
hep-th/9407074 | Wolfgang Eholzer | Wolfgang Eholzer and Nils-Peter Skoruppa | Modular Invariance and Uniqueness of Conformal Characters | 21 pages (AMS TeX), BONN-TH-94-16, MPI-94-67 | Commun.Math.Phys. 174 (1995) 117-136 | 10.1007/BF02099466 | null | hep-th | null | We show that the conformal characters of various rational models of
W-algebras can be already uniquely determined if one merely knows the central
charge and the conformal dimensions. As a side result we develop several tools
for studying representations of SL(2,Z) on spaces of modular functions. These
methods, applied here only to certain rational conformal field theories, may be
useful for the analysis of many others.
| [
{
"created": "Thu, 14 Jul 1994 08:03:04 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Eholzer",
"Wolfgang",
""
],
[
"Skoruppa",
"Nils-Peter",
""
]
] | We show that the conformal characters of various rational models of W-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2,Z) on spaces of modular functions. These methods, applied here only to certain rational conformal field theories, may be useful for the analysis of many others. |
2210.11890 | J.-C. Wallet | Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet | Gauge theories on quantum spaces | 141 pages. Review article. This is a preliminary version | Physics Reports 1014 (2023) 1-83 | 10.1016/j.physrep.2023.03.002 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the present status of gauge theories built on various quantum
space-times described by noncommutative space-times. The mathematical tools and
notions underlying their construction are given. Different formulations of
gauge theory models on Moyal spaces as well as on quantum spaces whose
coordinates form a Lie algebra are covered, with particular emphasis on some
explored quantum properties. Recent attempts aiming to include gravity dynamics
within a noncommutative framework are also considered.
| [
{
"created": "Fri, 21 Oct 2022 11:32:03 GMT",
"version": "v1"
}
] | 2023-03-28 | [
[
"Hersent",
"Kilian",
""
],
[
"Mathieu",
"Philippe",
""
],
[
"Wallet",
"Jean-Christophe",
""
]
] | We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered. |
hep-th/9412181 | null | R. Floreanini and R. Percacci | The renormalization group flow of the dilaton potential | 27 pages, plain-Tex | Phys.Rev. D52 (1995) 896-911 | 10.1103/PhysRevD.52.896 | SISSA 204/94/EP | hep-th | null | We consider a scalar-metric gauge theory of gravity with independent metric,
connection and dilaton. The role of the dilaton is to provide the scale of all
masses, via its vacuum expectation value. In this theory, we study the
renormalization group flow of the dilaton potential, taking into account
threshold effects at the Planck scale. Due to the running of the VEV of the
dilaton all particles that would naively seem to have masses larger than
Planck's mass, may actually not propagate. This could solve the problem of
unitarity in these theories.
| [
{
"created": "Tue, 20 Dec 1994 16:06:23 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Floreanini",
"R.",
""
],
[
"Percacci",
"R.",
""
]
] | We consider a scalar-metric gauge theory of gravity with independent metric, connection and dilaton. The role of the dilaton is to provide the scale of all masses, via its vacuum expectation value. In this theory, we study the renormalization group flow of the dilaton potential, taking into account threshold effects at the Planck scale. Due to the running of the VEV of the dilaton all particles that would naively seem to have masses larger than Planck's mass, may actually not propagate. This could solve the problem of unitarity in these theories. |
1910.04661 | Tobias Hansen | Agnese Bissi, Parijat Dey, Tobias Hansen | Dispersion Relation for CFT Four-Point Functions | 19 pages, 2 figures | null | 10.1007/JHEP04(2020)092 | UUITP-42/19 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We present a dispersion relation in conformal field theory which expresses
the four point function as an integral over its single discontinuity.
Exploiting the analytic properties of the OPE and crossing symmetry of the
correlator, we show that in perturbative settings the correlator depends only
on the spectrum of the theory, as well as the OPE coefficients of certain low
twist operators, and can be reconstructed unambiguously. In contrast to the
Lorentzian inversion formula, the validity of the dispersion relation does not
assume Regge behavior and is not restricted to the exchange of spinning
operators. As an application, the correlator $\langle \phi \phi \phi \phi
\rangle$ in $\phi^4$ theory at the Wilson-Fisher fixed point is computed in
closed form to order $\epsilon^2$ in the $\epsilon$ expansion.
| [
{
"created": "Thu, 10 Oct 2019 15:47:49 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Bissi",
"Agnese",
""
],
[
"Dey",
"Parijat",
""
],
[
"Hansen",
"Tobias",
""
]
] | We present a dispersion relation in conformal field theory which expresses the four point function as an integral over its single discontinuity. Exploiting the analytic properties of the OPE and crossing symmetry of the correlator, we show that in perturbative settings the correlator depends only on the spectrum of the theory, as well as the OPE coefficients of certain low twist operators, and can be reconstructed unambiguously. In contrast to the Lorentzian inversion formula, the validity of the dispersion relation does not assume Regge behavior and is not restricted to the exchange of spinning operators. As an application, the correlator $\langle \phi \phi \phi \phi \rangle$ in $\phi^4$ theory at the Wilson-Fisher fixed point is computed in closed form to order $\epsilon^2$ in the $\epsilon$ expansion. |
1804.01702 | Nikolaos Mavromatos | Nick E Mavromatos and Sarben Sarkar | Regularised Kalb-Ramond Magnetic Monopole with Finite Energy | 9 pages revtex, 1 pdf figure incorporated; added clarifying
discussion in sections II and III, better motivating the use of de Sitter
regularisation of the core region of the self gravitating monopole solution
from string theory considerations. No effect on conclusions. Version to be
published in Physical Review D | Phys. Rev. D 97, 125010 (2018) | 10.1103/PhysRevD.97.125010 | KCL-PH-TH/2018-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous work we suggested a self-gravitating electromagnetic monopole
solution in a string-inspired model involving global spontaneous breaking of a
$SO(3)$ internal symmetry and Kalb-Ramond (KR) axions, stemming from an
antisymmetric tensor field in the massless string multiplet. These axions carry
a charge, which, in our model, also plays the r\^ole of the magnetic charge.
The resulting geometry is close to that of a Reissner-Nordstr\"om (RN) black
hole with charge proportional to the KR-axion charge. We proposed the existence
of a thin shell structure inside a (large) core radius as the dominant mass
contribution to the energy functional. The resulting energy was finite, and
proportional to the KR-axion charge; however, the size of the shell was not
determined and left as a phenomenological parameter. In the current article, we
can calculate the mass-shell size, on proposing a regularisation of the black
hole singularity via a matching procedure between the RN metric in the outer
region and, in the inner region, a de Sitter space with a (positive)
cosmological constant proportional to the scale of the spontaneous symmetry
breaking of $SO(3)$ . The matching, which involves the Israel junction
conditions for the metric and its first derivatives at the inner surface of the
shell, determines the inner mass-shell radius. The axion charge plays an
important r\^ole in guaranteeing positivity of the "mass coefficient" of the
gravitational potential term appearing in the metric component; so the KR
electromagnetic monopole shows normal attractive gravitational effects. This is
to be contrasted with the global monopole case (in the absence of KR axions)
where such a matching is known to yield a negative "mass coefficient" (and,
hence, repulsive gravitational effects). The total energy of the monopole
within the shell is calculated.
| [
{
"created": "Thu, 5 Apr 2018 07:28:18 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 21:46:11 GMT",
"version": "v2"
}
] | 2018-06-20 | [
[
"Mavromatos",
"Nick E",
""
],
[
"Sarkar",
"Sarben",
""
]
] | In a previous work we suggested a self-gravitating electromagnetic monopole solution in a string-inspired model involving global spontaneous breaking of a $SO(3)$ internal symmetry and Kalb-Ramond (KR) axions, stemming from an antisymmetric tensor field in the massless string multiplet. These axions carry a charge, which, in our model, also plays the r\^ole of the magnetic charge. The resulting geometry is close to that of a Reissner-Nordstr\"om (RN) black hole with charge proportional to the KR-axion charge. We proposed the existence of a thin shell structure inside a (large) core radius as the dominant mass contribution to the energy functional. The resulting energy was finite, and proportional to the KR-axion charge; however, the size of the shell was not determined and left as a phenomenological parameter. In the current article, we can calculate the mass-shell size, on proposing a regularisation of the black hole singularity via a matching procedure between the RN metric in the outer region and, in the inner region, a de Sitter space with a (positive) cosmological constant proportional to the scale of the spontaneous symmetry breaking of $SO(3)$ . The matching, which involves the Israel junction conditions for the metric and its first derivatives at the inner surface of the shell, determines the inner mass-shell radius. The axion charge plays an important r\^ole in guaranteeing positivity of the "mass coefficient" of the gravitational potential term appearing in the metric component; so the KR electromagnetic monopole shows normal attractive gravitational effects. This is to be contrasted with the global monopole case (in the absence of KR axions) where such a matching is known to yield a negative "mass coefficient" (and, hence, repulsive gravitational effects). The total energy of the monopole within the shell is calculated. |
hep-th/0107218 | Brook Williams | Brook Williams | D-branes and Cosmological Singularities | 8 pages | null | null | null | hep-th | null | The motion of a test Dq-brane in a Dp-brane background is studied. The
induced metric on the test brane is then interpreted as the cosmology of the
test brane universe. One is then able to resolve the resulting cosmological
singularities. In particular, for a D3-brane in a D5-brane background, one
finds a 3+1 dimensional FRW universe with equation of state $p = \ed$. It has
been argued that this may have been the dominant form of matter at very early
times.
| [
{
"created": "Wed, 25 Jul 2001 21:29:51 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2001 22:06:45 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Williams",
"Brook",
""
]
] | The motion of a test Dq-brane in a Dp-brane background is studied. The induced metric on the test brane is then interpreted as the cosmology of the test brane universe. One is then able to resolve the resulting cosmological singularities. In particular, for a D3-brane in a D5-brane background, one finds a 3+1 dimensional FRW universe with equation of state $p = \ed$. It has been argued that this may have been the dominant form of matter at very early times. |
hep-th/9712007 | Nathan Jacob Berkovits | N. Berkovits and C. Hull | Manifestly Covariant Actions for D=4 Self-Dual Yang-Mills and D=10
Super-Yang-Mills | Removed an unnecessary term from the super-Yang-Mills action and
added a reference. 12 pages harvmac tex | JHEP 9802:012,1998 | 10.1088/1126-6708/1998/02/012 | IFT-P.072/97, QMW-97-36, LPTENS 97/58 | hep-th | null | Using an infinite number of fields, we construct actions for D=4 self-dual
Yang-Mills with manifest Lorentz invariance and for D=10 super-Yang-Mills with
manifest super-Poincar\'e invariance. These actions are generalizations of the
covariant action for the D=2 chiral boson which was first studied by McClain,
Wu, Yu and Wotzasek.
| [
{
"created": "Sun, 30 Nov 1997 18:08:24 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 1997 18:28:12 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Berkovits",
"N.",
""
],
[
"Hull",
"C.",
""
]
] | Using an infinite number of fields, we construct actions for D=4 self-dual Yang-Mills with manifest Lorentz invariance and for D=10 super-Yang-Mills with manifest super-Poincar\'e invariance. These actions are generalizations of the covariant action for the D=2 chiral boson which was first studied by McClain, Wu, Yu and Wotzasek. |
1806.05688 | Stephan Stieberger | Stephan Stieberger, Tomasz R. Taylor | Strings on Celestial Sphere | 28 pages, harvmac; v2: added Appendix A, final version to appear in
Nucl. Phys. B | null | 10.1016/j.nuclphysb.2018.08.019 | MPP-2018-136 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We transform superstring scattering amplitudes into the correlation functions
of primary conformal fields on two-dimensional celestial sphere. The points on
celestial sphere are associated to the asymptotic directions of (light-like)
momenta of external particles, with the Lorentz group realized as the SL(2,C)
conformal symmetry of the sphere. The energies are dualized through Mellin
transforms into the parameters that determine dimensions of the primaries. We
focus on four-point amplitudes involving gauge bosons and gravitons in type I
open superstring theory and in closed heterotic superstring theory at the
tree-level.
| [
{
"created": "Thu, 14 Jun 2018 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Sep 2018 07:33:04 GMT",
"version": "v2"
}
] | 2018-10-17 | [
[
"Stieberger",
"Stephan",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] | We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like) momenta of external particles, with the Lorentz group realized as the SL(2,C) conformal symmetry of the sphere. The energies are dualized through Mellin transforms into the parameters that determine dimensions of the primaries. We focus on four-point amplitudes involving gauge bosons and gravitons in type I open superstring theory and in closed heterotic superstring theory at the tree-level. |
hep-th/0312043 | Manfred Herbst | M. Herbst, A. Kling and M. Kreuzer | Cyclicity of non-associative products on D-branes | 19 pages, 1 figure, LaTeX2e | JHEP 0403 (2004) 003 | 10.1088/1126-6708/2004/03/003 | TUW-03-33, ITP-UH-32/03, CERN-TH/2003-280 | hep-th math.QA | null | The non-commutative geometry of deformation quantization appears in string
theory through the effect of a B-field background on the dynamics of D-branes
in the topological limit. For arbitrary backgrounds, associativity of the star
product is lost, but only cyclicity is necessary for a description of the
effective action in terms of a generalized product. In previous work we showed
that this property indeed emerges for a non-associative product that we
extracted from open string amplitudes in curved background fields. In the
present note we extend our investigation through second order in a complete
derivative expansion. We establish cyclicity with respect to the Born--Infeld
measure and find a logarithmic correction that modifies the Kontsevich formula
in an arbitrary background satisfying the generalized Maxwell equation. This
equation is the physical equivalent of a divergence-free non-commutative
parameter, which is required for cyclicity already in the associative case.
| [
{
"created": "Thu, 4 Dec 2003 16:06:00 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Herbst",
"M.",
""
],
[
"Kling",
"A.",
""
],
[
"Kreuzer",
"M.",
""
]
] | The non-commutative geometry of deformation quantization appears in string theory through the effect of a B-field background on the dynamics of D-branes in the topological limit. For arbitrary backgrounds, associativity of the star product is lost, but only cyclicity is necessary for a description of the effective action in terms of a generalized product. In previous work we showed that this property indeed emerges for a non-associative product that we extracted from open string amplitudes in curved background fields. In the present note we extend our investigation through second order in a complete derivative expansion. We establish cyclicity with respect to the Born--Infeld measure and find a logarithmic correction that modifies the Kontsevich formula in an arbitrary background satisfying the generalized Maxwell equation. This equation is the physical equivalent of a divergence-free non-commutative parameter, which is required for cyclicity already in the associative case. |
2401.11451 | Anirban Dinda | Parthajit Biswas, Suchetan Das, Anirban Dinda | Moving Interfaces and two-dimensional Black Holes | 23 pages, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Conformal field theories can exchange energy through a boundary interface.
Imposing conformal boundary conditions for static interfaces implies energy
conservation at the interface. Recently, the reflective and transmitive
properties of such static conformal interfaces have been studied in two
dimensions by scattering matter at the interface impurity. In this note, we
generalize this to the case of dynamic interfaces. Motivated by the connections
between the moving mirror and the black hole, we choose a particular profile
for the dynamical interface. We show that a part of the total energy of each
side will be lost in the interface. In other words, a time-dependent interface
can accumulate or absorb energy. While, in general, the interface follows a
time-like trajectory, one can take a particular limit of a profile
parameter($\beta$), such that the interface approaches a null line
asymptotically$(\beta\rightarrow 0)$. In this limit, we show that for a class
of boundary conditions, the interface behaves like a `semipermeable membrane'.
We also consider another set of conformal boundary conditions for which, in the
null line limit, the interface mimics the properties expected of a horizon. In
this case, we devise a scattering experiment, where (zero-point subtracted)
energy from one CFT is fully transmitted to the other CFT, while from the other
CFT, energy can neither be transmitted nor reflected, i.e., it gets lost in the
interface. This boundary condition is also responsible for the thermal energy
spectrum which mimics Hawking radiation. This is analogous to the black hole
where the horizon plays the role of a one-sided `membrane', which accumulates
all the interior degrees of freedom and radiates thermally in the presence of
quantum fluctuation. Stimulated by this observation, we comment on some
plausible construction of wormhole analogues.
| [
{
"created": "Sun, 21 Jan 2024 10:12:39 GMT",
"version": "v1"
}
] | 2024-01-23 | [
[
"Biswas",
"Parthajit",
""
],
[
"Das",
"Suchetan",
""
],
[
"Dinda",
"Anirban",
""
]
] | Conformal field theories can exchange energy through a boundary interface. Imposing conformal boundary conditions for static interfaces implies energy conservation at the interface. Recently, the reflective and transmitive properties of such static conformal interfaces have been studied in two dimensions by scattering matter at the interface impurity. In this note, we generalize this to the case of dynamic interfaces. Motivated by the connections between the moving mirror and the black hole, we choose a particular profile for the dynamical interface. We show that a part of the total energy of each side will be lost in the interface. In other words, a time-dependent interface can accumulate or absorb energy. While, in general, the interface follows a time-like trajectory, one can take a particular limit of a profile parameter($\beta$), such that the interface approaches a null line asymptotically$(\beta\rightarrow 0)$. In this limit, we show that for a class of boundary conditions, the interface behaves like a `semipermeable membrane'. We also consider another set of conformal boundary conditions for which, in the null line limit, the interface mimics the properties expected of a horizon. In this case, we devise a scattering experiment, where (zero-point subtracted) energy from one CFT is fully transmitted to the other CFT, while from the other CFT, energy can neither be transmitted nor reflected, i.e., it gets lost in the interface. This boundary condition is also responsible for the thermal energy spectrum which mimics Hawking radiation. This is analogous to the black hole where the horizon plays the role of a one-sided `membrane', which accumulates all the interior degrees of freedom and radiates thermally in the presence of quantum fluctuation. Stimulated by this observation, we comment on some plausible construction of wormhole analogues. |
1011.1474 | Sung-Sik Lee | Sung-Sik Lee | Holographic description of large N gauge theory | 23 pages, 11 figures; v4) published version; typo corrected | Nucl.Phys.B851:143-160,2011 | 10.1016/j.nuclphysb.2011.05.011 | null | hep-th cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the earlier work [S.-S. Lee, Nucl. Phys. B 832, 567 (2010)], we
derive a holographic dual for the D-dimensional U(N) lattice gauge theory from
a first principle construction. The resulting theory is a lattice field theory
of closed loops, dubbed as lattice loop field theory which is defined on a
(D+1)-dimensional space. The lattice loop field theory is well defined
non-perturbatively, and it becomes weakly coupled and local in the large N
limit with a large 't Hooft coupling.
| [
{
"created": "Fri, 5 Nov 2010 18:25:16 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2010 16:46:06 GMT",
"version": "v2"
},
{
"created": "Wed, 4 May 2011 15:28:22 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Jun 2011 14:46:33 GMT",
"version": "v4"
}
] | 2011-07-19 | [
[
"Lee",
"Sung-Sik",
""
]
] | Based on the earlier work [S.-S. Lee, Nucl. Phys. B 832, 567 (2010)], we derive a holographic dual for the D-dimensional U(N) lattice gauge theory from a first principle construction. The resulting theory is a lattice field theory of closed loops, dubbed as lattice loop field theory which is defined on a (D+1)-dimensional space. The lattice loop field theory is well defined non-perturbatively, and it becomes weakly coupled and local in the large N limit with a large 't Hooft coupling. |
hep-th/9412157 | null | I.Ya. Aref'eva, K.S. Viswanathan and I.V.Volovich | Planckian Energy Scattering, Colliding Plane Gravitational Waves and
Black Hole Creation | 26 pages, LATEX, 5 figures | Nucl.Phys.B452:346-368,1995; Erratum-ibid.B462:613,1996 | 10.1016/0550-3213(95)00394-8 | SFU-HEP-10-94 | hep-th gr-qc | null | In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured
that black holes occur in the collision of two light particles at planckian
energies. In this paper we discuss a possible scenario for such a process by
using the Chandrasekhar-Ferrari-Xanthopoulos duality between the Kerr black
hole solution and colliding plane gravitational waves. We clarify issues
arising in the definition of transition amplitude from a quantum state
containing only usual matter without black holes to a state containing black
holes. Collision of two plane gravitational waves producing a space-time region
which is locally isometric to an interior of black hole solution is considered.
The phase of the transition amplitude from plane waves to white and black hole
is calculated by using the Fabbrichesi, Pettorino, Veneziano and Vilkovisky
approach. An alternative extension beyond the horizon in which the space-time
again splits into two separating gravitational waves is also discussed. Such a
process is interpreted as the scattering of plane gravitational waves through
creation of virtual black and white holes.
| [
{
"created": "Sun, 18 Dec 1994 19:25:31 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Viswanathan",
"K. S.",
""
],
[
"Volovich",
"I. V.",
""
]
] | In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at planckian energies. In this paper we discuss a possible scenario for such a process by using the Chandrasekhar-Ferrari-Xanthopoulos duality between the Kerr black hole solution and colliding plane gravitational waves. We clarify issues arising in the definition of transition amplitude from a quantum state containing only usual matter without black holes to a state containing black holes. Collision of two plane gravitational waves producing a space-time region which is locally isometric to an interior of black hole solution is considered. The phase of the transition amplitude from plane waves to white and black hole is calculated by using the Fabbrichesi, Pettorino, Veneziano and Vilkovisky approach. An alternative extension beyond the horizon in which the space-time again splits into two separating gravitational waves is also discussed. Such a process is interpreted as the scattering of plane gravitational waves through creation of virtual black and white holes. |
hep-th/9502124 | Dimitri Polyakov | Dimitri Polyakov | Picture-Changing operators and Space-Time supersymmetry | 24 pages | Nucl.Phys. B449 (1995) 159-182 | 10.1016/0550-3213(95)00217-G | RU 94-32 | hep-th | null | We explore geometrical properties of fermionic vertex operators for a NSR
superstring in order to establish connection between worldsheet and target
space supersymmetries. The mechanism of picture-changing is obtained as a
result of imposing certain constraints on a world-sheet gauge group of the NSR
theory. It is found that picture-changing operators of various integer ghost
numbers form a polynomial ring. By using properties of the picture-changing
formalism we establish connection between the NSR and GS superstring theories.
We explore the properties of the $\kappa$-symmetry in the NSR formalism and
show that it leads to some new identities between correlation functions.
| [
{
"created": "Mon, 20 Feb 1995 22:36:58 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Polyakov",
"Dimitri",
""
]
] | We explore geometrical properties of fermionic vertex operators for a NSR superstring in order to establish connection between worldsheet and target space supersymmetries. The mechanism of picture-changing is obtained as a result of imposing certain constraints on a world-sheet gauge group of the NSR theory. It is found that picture-changing operators of various integer ghost numbers form a polynomial ring. By using properties of the picture-changing formalism we establish connection between the NSR and GS superstring theories. We explore the properties of the $\kappa$-symmetry in the NSR formalism and show that it leads to some new identities between correlation functions. |
0709.4126 | Ahmed Jellal | Ahmed Jellal | Anomalous Quantum Hall Effect on Sphere | 23 pages, clarifications, references added, misprints corrected.
Version to appear in NPB | Nucl.Phys.B804:361-382,2008 | 10.1016/j.nuclphysb.2008.04.013 | null | hep-th cond-mat.mes-hall math-ph math.MP | null | We study the anomalous quantum Hall effect exhibited by the relativistic
particles living on two-sphere S^2 and submitted to a magnetic monopole. We
start by establishing a direct connection between the Dirac and Landau
operators through the Pauli--Schr\"odinger Hamiltonian H_{s}^{SP}. This will be
helpful in the sense that the Dirac eigenvalues and eigenfunctions will be
easily derived. In analyzing H_{s}^{SP} spectrum, we show that there is a
composite fermion nature supported by the presence of two effective magnetic
fields. For the lowest Landau level, we argue that the basic physics of
graphene is similar to that of two-dimensional electron gas, which is in
agreement with the planar limit. For the higher Landau levels, we propose a
SU(N) wavefunction for different filling factors that captures all symmetries.
Focusing on the graphene case, i.e. N=4, we give different configurations those
allowed to recover some known results.
| [
{
"created": "Wed, 26 Sep 2007 10:36:58 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Apr 2008 08:49:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jellal",
"Ahmed",
""
]
] | We study the anomalous quantum Hall effect exhibited by the relativistic particles living on two-sphere S^2 and submitted to a magnetic monopole. We start by establishing a direct connection between the Dirac and Landau operators through the Pauli--Schr\"odinger Hamiltonian H_{s}^{SP}. This will be helpful in the sense that the Dirac eigenvalues and eigenfunctions will be easily derived. In analyzing H_{s}^{SP} spectrum, we show that there is a composite fermion nature supported by the presence of two effective magnetic fields. For the lowest Landau level, we argue that the basic physics of graphene is similar to that of two-dimensional electron gas, which is in agreement with the planar limit. For the higher Landau levels, we propose a SU(N) wavefunction for different filling factors that captures all symmetries. Focusing on the graphene case, i.e. N=4, we give different configurations those allowed to recover some known results. |
hep-th/0403241 | Manvelyan Ruben | R. Manvelyan and W. Ruehl | Conformal Coupling of Higher Spin Gauge Fields to a Scalar Field in
$AdS_{4}$ and Generalized Weyl Invariance | Latex, 12 pages | Phys.Lett. B593 (2004) 253-261 | 10.1016/j.physletb.2004.04.052 | null | hep-th | null | The higher spin interaction currents for the conformally coupled scalar in
$AdS_{4}$ space for both regular and irregular boundary condition corresponding
to the free and interacting critical point of the boundary O(N) sigma model are
constructed. The explicit form of the linearized interaction of the scalar and
spin two and four gauge fields in the $AdS_{D}$ space using Noether's procedure
for the corresponding spin two and four linearized gauge and generalized Weyl
transformations are obtained.
| [
{
"created": "Wed, 24 Mar 2004 07:22:20 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Manvelyan",
"R.",
""
],
[
"Ruehl",
"W.",
""
]
] | The higher spin interaction currents for the conformally coupled scalar in $AdS_{4}$ space for both regular and irregular boundary condition corresponding to the free and interacting critical point of the boundary O(N) sigma model are constructed. The explicit form of the linearized interaction of the scalar and spin two and four gauge fields in the $AdS_{D}$ space using Noether's procedure for the corresponding spin two and four linearized gauge and generalized Weyl transformations are obtained. |
1912.11277 | Shu Lin | Yanyan Bu and Shu Lin | Magneto-vortical effect in strongly coupled plasma | 37 pages, 6 figures | null | 10.1140/epjc/s10052-020-7951-5 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on a holographic model incorporating both chiral anomaly and
gravitational anomaly, we study the effect of magneto-vortical coupling on
transport properties of a strongly coupled plasma. The focus of present work is
on the generation of a vector charge density and an axial current, as response
to vorticity in a magnetized plasma. The transport coefficients parameterising
the vector charge density and axial current are calculated both analytically
(in the weak magnetic field limit) and also numerically (for general values of
the magnetic field). We find the generation of vector charge receives both
non-anomalous and anomalous contributions, with the non-anomalous contribution
dominating in the limit of strong magnetic field and the anomalous contribution
sensitive to both chiral anomaly and gravitational anomaly. On the contrary, we
find the axial current is induced entirely due to the gravitational anomaly,
thus we interpret the axial current generation as chiral vortical effect. The
corresponding chiral vortical conductivity is found to be suppressed by the
magnetic field. By Onsager relation, these transport coefficients are
responsible for the generation of a thermal current due to a transverse
electric field or a transverse axial magnetic field, which we call thermal Hall
effect and thermal axial magnetic effect, respectively.
| [
{
"created": "Tue, 24 Dec 2019 10:19:04 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Bu",
"Yanyan",
""
],
[
"Lin",
"Shu",
""
]
] | Based on a holographic model incorporating both chiral anomaly and gravitational anomaly, we study the effect of magneto-vortical coupling on transport properties of a strongly coupled plasma. The focus of present work is on the generation of a vector charge density and an axial current, as response to vorticity in a magnetized plasma. The transport coefficients parameterising the vector charge density and axial current are calculated both analytically (in the weak magnetic field limit) and also numerically (for general values of the magnetic field). We find the generation of vector charge receives both non-anomalous and anomalous contributions, with the non-anomalous contribution dominating in the limit of strong magnetic field and the anomalous contribution sensitive to both chiral anomaly and gravitational anomaly. On the contrary, we find the axial current is induced entirely due to the gravitational anomaly, thus we interpret the axial current generation as chiral vortical effect. The corresponding chiral vortical conductivity is found to be suppressed by the magnetic field. By Onsager relation, these transport coefficients are responsible for the generation of a thermal current due to a transverse electric field or a transverse axial magnetic field, which we call thermal Hall effect and thermal axial magnetic effect, respectively. |
hep-th/9210002 | J. L. Cardy | John L. Cardy | Critical Exponents of the Chiral Potts Model from Conformal Field Theory | 15 pages | Nucl.Phys. B389 (1993) 577-586 | 10.1016/0550-3213(93)90353-Q | IN92003, UCSBTH-92-37 | hep-th cond-mat | null | The $Z_N$-invariant chiral Potts model is considered as a perturbation of a
$Z_N$ conformal field theory. In the self-dual case the renormalization group
equations become simple, and yield critical exponents and anisotropic scaling
which agree with exact results for the super-integrable lattice models.
Although the continuum theory is not Lorentz invariant, it respects a novel
type of space-time symmetry which allows for the observed spontaneous breaking
of translational symmetry in the ground state. The continuum theory is shown to
possess an infinite number of conserved charges on the self-dual line, which
remain conserved when the theory is perturbed by the energy operator.
| [
{
"created": "Thu, 1 Oct 1992 10:10:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cardy",
"John L.",
""
]
] | The $Z_N$-invariant chiral Potts model is considered as a perturbation of a $Z_N$ conformal field theory. In the self-dual case the renormalization group equations become simple, and yield critical exponents and anisotropic scaling which agree with exact results for the super-integrable lattice models. Although the continuum theory is not Lorentz invariant, it respects a novel type of space-time symmetry which allows for the observed spontaneous breaking of translational symmetry in the ground state. The continuum theory is shown to possess an infinite number of conserved charges on the self-dual line, which remain conserved when the theory is perturbed by the energy operator. |
2109.02662 | Francesco Mignosa | Matteo Bertolini, Francesco Mignosa | Supersymmetry breaking deformations and phase transitions in five
dimensions | Comment: 27 pages, 15 figures. v4: typos corrected | null | 10.1007/JHEP10(2021)244 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze a recently proposed supersymmetry breaking mass deformation of the
$E_1$ superconformal fixed point in five dimensions which, at weak gauge
coupling, leads to pure $SU(2)$ Yang-Mills and which was conjectured to lead to
an interacting CFT at strong coupling. We provide an explicit geometric
construction of the deformation using brane-web techniques and show that for
large enough gauge coupling a global symmetry is spontaneously broken and the
theory enters a new phase which, at infinite coupling, displays an instability.
The Yang-Mills and the symmetry broken phases are separated by a phase
transition. Depending on the structure of the potential, this can be first or
second order.
| [
{
"created": "Mon, 6 Sep 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2021 17:40:58 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Oct 2021 16:30:12 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Nov 2021 08:04:31 GMT",
"version": "v4"
}
] | 2021-11-17 | [
[
"Bertolini",
"Matteo",
""
],
[
"Mignosa",
"Francesco",
""
]
] | We analyze a recently proposed supersymmetry breaking mass deformation of the $E_1$ superconformal fixed point in five dimensions which, at weak gauge coupling, leads to pure $SU(2)$ Yang-Mills and which was conjectured to lead to an interacting CFT at strong coupling. We provide an explicit geometric construction of the deformation using brane-web techniques and show that for large enough gauge coupling a global symmetry is spontaneously broken and the theory enters a new phase which, at infinite coupling, displays an instability. The Yang-Mills and the symmetry broken phases are separated by a phase transition. Depending on the structure of the potential, this can be first or second order. |
1211.1381 | Matthew Lippert | Niko Jokela, Matti Jarvinen, and Matthew Lippert | Fluctuations and instabilities of a holographic metal | 25 pages, 13 figures; v2. minor improvements to match published
version | JHEP 02 (2013) 007 | 10.1007/JHEP02(2013)007 | CCTP-2012-23 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the quasinormal modes of the D2-D8' model of 2+1-dimensional,
strongly-coupled, charged fermions in a background magnetic field and at
nonzero density. The model is known to include a quantum Hall phase with
integer filling fraction. As expected, we find a hydrodynamical diffusion mode
at small momentum and the nonzero-temperature holographic zero sound, which
becomes massive above a critical magnetic field. We confirm the
previously-known thermodynamic instability. In addition, we discover an
instability at low temperature, large mass, and in a charge density and
magnetic field range near the quantum Hall phase to an inhomogeneous striped
phase.
| [
{
"created": "Tue, 6 Nov 2012 21:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2013 10:08:48 GMT",
"version": "v2"
}
] | 2013-02-13 | [
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] | We analyze the quasinormal modes of the D2-D8' model of 2+1-dimensional, strongly-coupled, charged fermions in a background magnetic field and at nonzero density. The model is known to include a quantum Hall phase with integer filling fraction. As expected, we find a hydrodynamical diffusion mode at small momentum and the nonzero-temperature holographic zero sound, which becomes massive above a critical magnetic field. We confirm the previously-known thermodynamic instability. In addition, we discover an instability at low temperature, large mass, and in a charge density and magnetic field range near the quantum Hall phase to an inhomogeneous striped phase. |
2005.08989 | Ahmad Ghodsi | Ahmad Ghodsi, Saeed Qolibikloo and Saman Karimi | Holographic complexity in general quadratic curvature theory of gravity | 19 pages, 4 figures; v3. Subsection 2.5 modified and more discussions
on the second singularity in new subsection 2.6 added. Accepted for
publication in EPJC | null | 10.1140/epjc/s10052-020-08503-9 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of CA conjecture for holographic complexity, we study the
action growth rate at late time approximation for general quadratic curvature
theory of gravity. We show how the Lloyd's bound saturates for charged and
neutral black hole solutions. We observe that a second singular point may
modify the action growth rate to a value other than the Lloyd's bound.
Moreover, we find the universal terms that appear in the divergent part of
complexity from computing the bulk and joint terms on a regulated WDW patch.
| [
{
"created": "Mon, 18 May 2020 18:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jun 2020 08:21:33 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Sep 2020 20:16:42 GMT",
"version": "v3"
}
] | 2020-10-28 | [
[
"Ghodsi",
"Ahmad",
""
],
[
"Qolibikloo",
"Saeed",
""
],
[
"Karimi",
"Saman",
""
]
] | In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black hole solutions. We observe that a second singular point may modify the action growth rate to a value other than the Lloyd's bound. Moreover, we find the universal terms that appear in the divergent part of complexity from computing the bulk and joint terms on a regulated WDW patch. |
1109.1047 | Ignacy Sawicki | Damien A. Easson (Arizona State U.), Ignacy Sawicki (Heidelberg U.)
and Alexander Vikman (CERN) | G-Bounce | 28 pages. v2 reflects version accepted for publication in JCAP.
References and minor comments added | JCAP11(2011)021 | 10.1088/1475-7516/2011/11/021 | CERN-PH-TH/2011-203 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a wide class of models which realise a bounce in a spatially flat
Friedmann universe in standard General Relativity. The key ingredient of the
theories we consider is a noncanonical, minimally coupled scalar field
belonging to the class of theories with Kinetic Gravity Braiding /
Galileon-like self-couplings. In these models, the universe smoothly evolves
from contraction to expansion, suffering neither from ghosts nor gradient
instabilities around the turning point. The end-point of the evolution can be a
standard radiation-domination era or an inflationary phase. We formulate
necessary restrictions for Lagrangians needed to obtain a healthy bounce and
illustrate our results with phase portraits for simple systems including the
recently proposed Galilean Genesis scenario.
| [
{
"created": "Tue, 6 Sep 2011 03:34:01 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2011 16:13:23 GMT",
"version": "v2"
}
] | 2011-11-14 | [
[
"Easson",
"Damien A.",
"",
"Arizona State U."
],
[
"Sawicki",
"Ignacy",
"",
"Heidelberg U."
],
[
"Vikman",
"Alexander",
"",
"CERN"
]
] | We present a wide class of models which realise a bounce in a spatially flat Friedmann universe in standard General Relativity. The key ingredient of the theories we consider is a noncanonical, minimally coupled scalar field belonging to the class of theories with Kinetic Gravity Braiding / Galileon-like self-couplings. In these models, the universe smoothly evolves from contraction to expansion, suffering neither from ghosts nor gradient instabilities around the turning point. The end-point of the evolution can be a standard radiation-domination era or an inflationary phase. We formulate necessary restrictions for Lagrangians needed to obtain a healthy bounce and illustrate our results with phase portraits for simple systems including the recently proposed Galilean Genesis scenario. |
2403.08696 | Henry Lin | Luca V. Iliesiu, Adam Levine, Henry W. Lin, Henry Maxfield, M\'ark
Mezei | On the non-perturbative bulk Hilbert space of JT gravity | 67 pages + appendices + 16 overcomplete figures, v2: added references | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | What is the bulk Hilbert space of quantum gravity? In this paper, we resolve
this problem in 2d JT gravity, both with and without matter, providing the
first example of an explicit definition of a non-perturbative Hilbert space
specified in terms of metric variables. The states are wavefunctions of the
length and matter state, but with a non-trivial and highly degenerate inner
product. We explicitly identify the null states, and discuss their importance
for defining operators non-perturbatively. To highlight the power of the
formalism we developed, we study the non-perturbative effects for two bulk
linear operators that may serve as proxies for the experience of an observer
falling into a two-sided black hole: one captures the length of an
Einstein-Rosen bridge and the other captures the center-of-mass collision
energy between two particles falling from opposite sides. We track the behavior
of these operators up to times of order $e^{S_\text{BH}}$, at which point the
wavefunction spreads to the complete set of eigenstates of these operators. If
these observables are indeed good proxies for the experience of an infalling
observer, our results indicate an O(1) probability of detecting a firewall at
late times that is self-averaging and universal.
| [
{
"created": "Wed, 13 Mar 2024 16:59:01 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2024 20:21:49 GMT",
"version": "v2"
}
] | 2024-05-03 | [
[
"Iliesiu",
"Luca V.",
""
],
[
"Levine",
"Adam",
""
],
[
"Lin",
"Henry W.",
""
],
[
"Maxfield",
"Henry",
""
],
[
"Mezei",
"Márk",
""
]
] | What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing the first example of an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter state, but with a non-trivial and highly degenerate inner product. We explicitly identify the null states, and discuss their importance for defining operators non-perturbatively. To highlight the power of the formalism we developed, we study the non-perturbative effects for two bulk linear operators that may serve as proxies for the experience of an observer falling into a two-sided black hole: one captures the length of an Einstein-Rosen bridge and the other captures the center-of-mass collision energy between two particles falling from opposite sides. We track the behavior of these operators up to times of order $e^{S_\text{BH}}$, at which point the wavefunction spreads to the complete set of eigenstates of these operators. If these observables are indeed good proxies for the experience of an infalling observer, our results indicate an O(1) probability of detecting a firewall at late times that is self-averaging and universal. |
hep-th/0612117 | Justin Khoury | Justin Khoury, Maulik Parikh | Mach's Holographic Principle | 33 pages, 1 figure | null | null | CU-TP-1167, IUCAA-55/2006 | hep-th astro-ph gr-qc | null | Mach's principle is the concept that inertial frames are determined by
matter. We propose and implement a precise formulation of Mach's principle in
which matter and geometry are in one-to-one correspondence. Einstein's
equations are not modified and no selection principle is applied to their
solutions; Mach's principle is realized wholly within Einstein's general theory
of relativity. The key insight is the observation that, in addition to bulk
matter, one can also add boundary matter. Specification of both boundary and
bulk stress tensors uniquely specifies the geometry and thereby the inertial
frames. Our framework is similar to that of the black hole membrane paradigm
and, in asymptotically AdS space-times, is consistent with holographic duality.
| [
{
"created": "Wed, 13 Dec 2006 20:43:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khoury",
"Justin",
""
],
[
"Parikh",
"Maulik",
""
]
] | Mach's principle is the concept that inertial frames are determined by matter. We propose and implement a precise formulation of Mach's principle in which matter and geometry are in one-to-one correspondence. Einstein's equations are not modified and no selection principle is applied to their solutions; Mach's principle is realized wholly within Einstein's general theory of relativity. The key insight is the observation that, in addition to bulk matter, one can also add boundary matter. Specification of both boundary and bulk stress tensors uniquely specifies the geometry and thereby the inertial frames. Our framework is similar to that of the black hole membrane paradigm and, in asymptotically AdS space-times, is consistent with holographic duality. |
hep-th/9512194 | Nikolay G. Pletnev | A.T.Banin, N.G.Pletnev | Coset realizations of (super)twistor spaces and structure of
(super)twistor correspondence | 9 pages, LaTeX, no figures | null | null | null | hep-th | null | New types "extended" (super)conformal algebras $G^{(\frac n2)}$ are
presented. (Su\-per)twistor spaces $T$ are subspaces in cosets $G^{(\frac
n2)}/H$. The (super)twistor correspondence has a cleary defined geometrical
meaning.
| [
{
"created": "Sat, 23 Dec 1995 09:57:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Banin",
"A. T.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | New types "extended" (super)conformal algebras $G^{(\frac n2)}$ are presented. (Su\-per)twistor spaces $T$ are subspaces in cosets $G^{(\frac n2)}/H$. The (super)twistor correspondence has a cleary defined geometrical meaning. |
hep-th/0206247 | Henning Samtleben | Jose F. Morales and Henning Samtleben | Supergravity Duals of Matrix String Theory | LaTeX2e, 35 pages, minor changes, references added | JHEP 0208:042,2002 | 10.1088/1126-6708/2002/08/042 | ITF-2002/28, SPIN-2002/18 | hep-th | null | We study the holographic duals of type II and heterotic matrix string
theories described by warped AdS_3 supergravities. By explicitly solving the
linearized equations of motion around near horizon D-string geometries, we
determine the spectrum of Kaluza-Klein primaries for type I, II supergravities
on warped AdS_3 x S^7. The results match those coming from the dual
two-dimensional gauge theories living on the D-string worldvolumes. We briefly
discuss the connections with the N=(8,8), N=(8,0) orbifold superconformal field
theories to which type IIB / heterotic matrix strings flow in the infrared. In
particular, we associate the dimension (3/2, 3/2) twisted operator which brings
the matrix string theories out from the conformal point (R^8)^N / S_N with the
dilaton profile in the supergravity background.
The familiar dictionary between masses and scaling dimensions of fields and
operators are modified by the presence of non-trivial warp factors and running
dilatons. These modifications are worked out for the general case of domain
wall / QFT correspondences between supergravities on warped AdS_{d+1} x S^q
geometries and super Yang-Mills theories with 16 supercharges.
| [
{
"created": "Thu, 27 Jun 2002 19:10:38 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Sep 2002 11:56:18 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Morales",
"Jose F.",
""
],
[
"Samtleben",
"Henning",
""
]
] | We study the holographic duals of type II and heterotic matrix string theories described by warped AdS_3 supergravities. By explicitly solving the linearized equations of motion around near horizon D-string geometries, we determine the spectrum of Kaluza-Klein primaries for type I, II supergravities on warped AdS_3 x S^7. The results match those coming from the dual two-dimensional gauge theories living on the D-string worldvolumes. We briefly discuss the connections with the N=(8,8), N=(8,0) orbifold superconformal field theories to which type IIB / heterotic matrix strings flow in the infrared. In particular, we associate the dimension (3/2, 3/2) twisted operator which brings the matrix string theories out from the conformal point (R^8)^N / S_N with the dilaton profile in the supergravity background. The familiar dictionary between masses and scaling dimensions of fields and operators are modified by the presence of non-trivial warp factors and running dilatons. These modifications are worked out for the general case of domain wall / QFT correspondences between supergravities on warped AdS_{d+1} x S^q geometries and super Yang-Mills theories with 16 supercharges. |
hep-th/0308127 | Wen-Li Yang | W.-L. Yang and R. Sasaki | Exact solution of $Z_n$ Belavin model with open boundary condition | Latex file, 28 pages | Nucl.Phys.B679:495-520,2004 | 10.1016/j.nuclphysb.2003.11.039 | YITP-03-56 | hep-th nlin.SI | null | $Z_n$ Belavin model with open boundary condition is studied. The double-row
transfer matrices of the model are diagonalized by algebraic Bethe ansatz
method in terms of the intertwiner and the face-vertex correspondence relation.
The eigenvalues and the corresponding Bethe ansatz equations are obtained.
| [
{
"created": "Wed, 20 Aug 2003 07:01:33 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Yang",
"W. -L.",
""
],
[
"Sasaki",
"R.",
""
]
] | $Z_n$ Belavin model with open boundary condition is studied. The double-row transfer matrices of the model are diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the face-vertex correspondence relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained. |
2402.00308 | Georg Stettinger | Martin Schnabl and Georg Stettinger | More on stubs in open string field theory | 26 pages | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We continue our analysis of open string field theory based on
A-infinity-algebras obtained from Witten's theory by attaching stubs to the
elementary vertex. Classical solutions of the new theory can be obtained from
known analytic solutions in Witten's theory by applying a cohomomorphism. In a
previous work two such cohomomorphisms were found, one non-cyclic, obtained
from the homological perturbation lemma and another one by geometric methods.
Here we show, that the two resulting maps are related by a combination of a
gauge transformation and a term vanishing on-shell. We explicitly calculate the
first few orders of the new A-infinity-algebra solutions in the sliver frame.
| [
{
"created": "Thu, 1 Feb 2024 03:40:55 GMT",
"version": "v1"
}
] | 2024-02-02 | [
[
"Schnabl",
"Martin",
""
],
[
"Stettinger",
"Georg",
""
]
] | We continue our analysis of open string field theory based on A-infinity-algebras obtained from Witten's theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions in Witten's theory by applying a cohomomorphism. In a previous work two such cohomomorphisms were found, one non-cyclic, obtained from the homological perturbation lemma and another one by geometric methods. Here we show, that the two resulting maps are related by a combination of a gauge transformation and a term vanishing on-shell. We explicitly calculate the first few orders of the new A-infinity-algebra solutions in the sliver frame. |
2310.06820 | Richard Nally | Naomi Gendler, Nate MacFadden, Liam McAllister, Jakob Moritz, Richard
Nally, Andreas Schachner, Mike Stillman | Counting Calabi-Yau Threefolds | 40 pages, 1 figure, 5 tables | null | null | CERN-TH-2023-189 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We enumerate topologically-inequivalent compact Calabi-Yau threefold
hypersurfaces. By computing arithmetic and algebraic invariants and the
Gopakumar-Vafa invariants of curves, we prove that the number of distinct
simply connected Calabi-Yau threefold hypersurfaces resulting from
triangulations of four-dimensional reflexive polytopes is 4, 27, 183, 1,184 and
8,036 at $h^{1,1}$ = 1, 2, 3, 4, and 5, respectively. We also establish that
there are ten equivalence classes of Wall data of non-simply connected
Calabi-Yau threefolds from the Kreuzer-Skarke list. Finally, we give a
provisional count of threefolds obtained by enumerating non-toric flops at
$h^{1,1} =2$.
| [
{
"created": "Tue, 10 Oct 2023 17:48:00 GMT",
"version": "v1"
}
] | 2023-10-11 | [
[
"Gendler",
"Naomi",
""
],
[
"MacFadden",
"Nate",
""
],
[
"McAllister",
"Liam",
""
],
[
"Moritz",
"Jakob",
""
],
[
"Nally",
"Richard",
""
],
[
"Schachner",
"Andreas",
""
],
[
"Stillman",
"Mike",
""
]
] | We enumerate topologically-inequivalent compact Calabi-Yau threefold hypersurfaces. By computing arithmetic and algebraic invariants and the Gopakumar-Vafa invariants of curves, we prove that the number of distinct simply connected Calabi-Yau threefold hypersurfaces resulting from triangulations of four-dimensional reflexive polytopes is 4, 27, 183, 1,184 and 8,036 at $h^{1,1}$ = 1, 2, 3, 4, and 5, respectively. We also establish that there are ten equivalence classes of Wall data of non-simply connected Calabi-Yau threefolds from the Kreuzer-Skarke list. Finally, we give a provisional count of threefolds obtained by enumerating non-toric flops at $h^{1,1} =2$. |
1810.11053 | Simon F. Ross | Alexander Maloney, Gim Seng Ng, Simon F. Ross and Ioannis Tsiares | Thermal Correlation Functions of KdV Charges in 2D CFT | 56 pages, 1 figure; v2, references added & updated | null | 10.1007/JHEP02(2019)044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two dimensional CFTs have an infinite set of commuting conserved charges,
known as the quantum KdV charges, built out of the stress tensor. We compute
the thermal correlation functions of the these KdV charges on a circle. We show
that these correlation functions are given by quasi-modular differential
operators acting on the torus partition function. We determine their modular
transformation properties, give explicit expressions in a number of cases, and
give a general form which determines an arbitrary correlation function up to a
finite number of functions of the central charge. We show that these modular
differential operators annihilate the characters of the (2m+1,2) family of
non-unitary minimal models. We also show that the distribution of KdV charges
becomes sharply peaked at large level.
| [
{
"created": "Thu, 25 Oct 2018 18:17:34 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2018 16:08:30 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Maloney",
"Alexander",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Ross",
"Simon F.",
""
],
[
"Tsiares",
"Ioannis",
""
]
] | Two dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges, built out of the stress tensor. We compute the thermal correlation functions of the these KdV charges on a circle. We show that these correlation functions are given by quasi-modular differential operators acting on the torus partition function. We determine their modular transformation properties, give explicit expressions in a number of cases, and give a general form which determines an arbitrary correlation function up to a finite number of functions of the central charge. We show that these modular differential operators annihilate the characters of the (2m+1,2) family of non-unitary minimal models. We also show that the distribution of KdV charges becomes sharply peaked at large level. |
1005.1421 | Eduardo Guendelman I | E. I. Guendelman | Bags and Confinement Governed by S.S.B. of Scale Invariance | 32 pages | Int.J.Mod.Phys.A25:4195-4220,2010 | 10.1142/S0217751X10050305 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general coordinate invariant theory is constructed where confinement of
gauge fields and gauge dynamics in general is governed by the spontaneous
symmetry breaking (s.s.b.) of scale invariance. The model uses two measures of
integration in the action, the standard $\sqrt{-g}$ where $g$ is the
determinant of the metric and another measure $\Phi$ independent of the metric.
To implement scale invariance (S.I.), a dilaton field is introduced. Using the
first order formalism, curvature ( $\Phi R$ and $\sqrt{-g}R^{2}$ ) terms ,
gauge field term and dilaton kinetic terms are introduced in a conformally
invariant way. Exponential potentials for the dilaton break down (softly) the
conformal invariance down to global scale invariance, which also suffers s.s.b.
after integrating the equations of motion. The model has a well defined flat
space limit. As a result of the s.s.b. of scale invariance phases with
different vacuum energy density appear. Inside the bags, that is in the regions
of larger vacuum energy density, the gauge dynamics is normal, that is non
confining, while for the region of smaller vacuum energy density, the gauge
field dynamics is confining. Likewise, the dynamics of scalars, like would be
Goldstone bosons, is suppressed inside the bags.
| [
{
"created": "Sun, 9 May 2010 19:20:11 GMT",
"version": "v1"
}
] | 2011-03-14 | [
[
"Guendelman",
"E. I.",
""
]
] | A general coordinate invariant theory is constructed where confinement of gauge fields and gauge dynamics in general is governed by the spontaneous symmetry breaking (s.s.b.) of scale invariance. The model uses two measures of integration in the action, the standard $\sqrt{-g}$ where $g$ is the determinant of the metric and another measure $\Phi$ independent of the metric. To implement scale invariance (S.I.), a dilaton field is introduced. Using the first order formalism, curvature ( $\Phi R$ and $\sqrt{-g}R^{2}$ ) terms , gauge field term and dilaton kinetic terms are introduced in a conformally invariant way. Exponential potentials for the dilaton break down (softly) the conformal invariance down to global scale invariance, which also suffers s.s.b. after integrating the equations of motion. The model has a well defined flat space limit. As a result of the s.s.b. of scale invariance phases with different vacuum energy density appear. Inside the bags, that is in the regions of larger vacuum energy density, the gauge dynamics is normal, that is non confining, while for the region of smaller vacuum energy density, the gauge field dynamics is confining. Likewise, the dynamics of scalars, like would be Goldstone bosons, is suppressed inside the bags. |
hep-th/9307197 | Koyama Yoshitaka | Y. Koyama | Staggered Polarization of Vertex Models with
$U_q(\widehat{sl}(n))$-Symmetry | 18 pages, Latex file | Commun. Math. Phys. 164 (1994) 277-292 | 10.1007/BF02101703 | null | hep-th | null | In this paper we give an explicit formula for level 1 vertex operators
related to $U_q(\widehat{sl}(n))$ as operators on the Fock spaces. We derive
also their commutation relations. As an applications we culculate the one point
functions of the one-dimensional spin chain associated with the vector
representation of $U_q(\widehat{sl}(n))$, thereby extending the recent work on
the staggered polarization of the $XXZ$-model.
| [
{
"created": "Sun, 1 Aug 1993 09:35:05 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Koyama",
"Y.",
""
]
] | In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_q(\widehat{sl}(n))$, thereby extending the recent work on the staggered polarization of the $XXZ$-model. |
1709.01529 | Ant\'onio Antunes | Ant\'onio Antunes | Numerical Methods in the Conformal Bootstrap | Masters Thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a low entry-level introduction to the Conformal Bootstrap. We
review and obtain several basic bounds using Linear Programming in machine
precision in Mathematica, making the results accessible even to the most
uneducated computer user. The Extremal Functional Method and the method of
determinants are also explored. Finally, we make an attempt at writing modular
invariance statements as crossing symmetry equations for twist operators and
perform Modular Bootstrap using 4-pt correlators.
| [
{
"created": "Tue, 5 Sep 2017 18:00:59 GMT",
"version": "v1"
}
] | 2017-09-07 | [
[
"Antunes",
"António",
""
]
] | We present a low entry-level introduction to the Conformal Bootstrap. We review and obtain several basic bounds using Linear Programming in machine precision in Mathematica, making the results accessible even to the most uneducated computer user. The Extremal Functional Method and the method of determinants are also explored. Finally, we make an attempt at writing modular invariance statements as crossing symmetry equations for twist operators and perform Modular Bootstrap using 4-pt correlators. |
1210.7709 | Zvi Bern | Zvi Bern, John Joseph Carrasco, Lance J. Dixon, Michael R. Douglas,
Matt von Hippel and Henrik Johansson | D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops | 31 pages, revtex, 12 figures | null | 10.1103/PhysRevD.87.025018 | SLAC--PUB--15269; UCLA/12/TEP/104; SU-ITP-12/24; CERN-PH-TH/2012-288 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The connection of maximally supersymmetric Yang-Mills theory to the (2,0)
theory in six dimensions has raised the possibility that it might be
perturbatively ultraviolet finite in five dimensions. We test this hypothesis
by computing the coefficient of the first potential ultraviolet divergence of
planar (large N_c) maximally supersymmetric Yang-Mills theory in D = 5, which
occurs at six loops. We show that the coefficient is nonvanishing. Furthermore,
the numerical value of the divergence falls very close to an approximate
exponential formula based on the coefficients of the divergences through five
loops. This formula predicts the approximate values of the ultraviolet
divergence at loop orders L > 6 in the critical dimension D = 4 + 6/L. To
obtain the six-loop divergence we first construct the planar six-loop
four-point amplitude integrand using generalized unitarity. The ultraviolet
divergence follows from a set of vacuum integrals, which are obtained by
expanding the integrand in the external momenta. The vacuum integrals are
integrated via sector decomposition, using a modified version of the FIESTA
program.
| [
{
"created": "Mon, 29 Oct 2012 16:17:46 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Bern",
"Zvi",
""
],
[
"Carrasco",
"John Joseph",
""
],
[
"Dixon",
"Lance J.",
""
],
[
"Douglas",
"Michael R.",
""
],
[
"von Hippel",
"Matt",
""
],
[
"Johansson",
"Henrik",
""
]
] | The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in five dimensions. We test this hypothesis by computing the coefficient of the first potential ultraviolet divergence of planar (large N_c) maximally supersymmetric Yang-Mills theory in D = 5, which occurs at six loops. We show that the coefficient is nonvanishing. Furthermore, the numerical value of the divergence falls very close to an approximate exponential formula based on the coefficients of the divergences through five loops. This formula predicts the approximate values of the ultraviolet divergence at loop orders L > 6 in the critical dimension D = 4 + 6/L. To obtain the six-loop divergence we first construct the planar six-loop four-point amplitude integrand using generalized unitarity. The ultraviolet divergence follows from a set of vacuum integrals, which are obtained by expanding the integrand in the external momenta. The vacuum integrals are integrated via sector decomposition, using a modified version of the FIESTA program. |
hep-th/9609003 | Panagiota Kanti | P. Kanti and K. Tamvakis | Coloured Black Holes in Higher Curvature String Gravity | 15 pages, 3 LATEX figures already included | Phys.Lett.B392:30-38,1997 | 10.1016/S0370-2693(96)01521-3 | CERN-TH/96-233 | hep-th gr-qc | null | We consider the combined Yang Mills-Dilaton-Gravity system in the presence of
a Gauss-Bonnet term as it appears in the $4D$ Effective Superstring Action. We
give analytical arguments and demonstrate numerically the existence of black
hole solutions with non-trivial dilaton and Yang Mills hair for the particular
case of SU(2) gauge fields. The thermodynamical properties of the solutions are
also discussed.
| [
{
"created": "Sun, 1 Sep 1996 19:32:01 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Kanti",
"P.",
""
],
[
"Tamvakis",
"K.",
""
]
] | We consider the combined Yang Mills-Dilaton-Gravity system in the presence of a Gauss-Bonnet term as it appears in the $4D$ Effective Superstring Action. We give analytical arguments and demonstrate numerically the existence of black hole solutions with non-trivial dilaton and Yang Mills hair for the particular case of SU(2) gauge fields. The thermodynamical properties of the solutions are also discussed. |
hep-th/0109165 | Damien A. Easson | Robert Brandenberger, Damien A. Easson and Dagny Kimberly | Loitering Phase in Brane Gas Cosmology | 19 pages, 6 figures; version to appear in Nucl. Phys. B | Nucl.Phys. B623 (2002) 421-436 | 10.1016/S0550-3213(01)00636-8 | BROWN-HET-1273, McGill 01-19 | hep-th astro-ph gr-qc hep-ph | null | Brane Gas Cosmology (BGC) is an approach to M-theory cosmology in which the
initial state of the Universe is taken to be small, dense and hot, with all
fundamental degrees of freedom near thermal equilibrium. Such a starting point
is in close analogy with the Standard Big Bang (SBB) model. The topology of the
Universe is assumed to be toroidal in all nine spatial dimensions and is filled
with a gas of p-branes. The dynamics of winding modes allow, at most, three
spatial dimensions to become large, thus explaining the origin of our
macroscopic 3+1-dimensional Universe. Here we conduct a detailed analysis of
the loitering phase of BGC. We do so by including into the equations of motion
that describe the dilaton gravity background some new equations which determine
the annihilation of string winding modes into string loops. Specific solutions
are found within the model that exhibit loitering, i.e. the Universe
experiences a short phase of slow contraction during which the Hubble radius
grows larger than the physical extent of the Universe. As a result the brane
problem (generalized domain wall problem) in BGC is solved. The initial
singularity and horizon problems of the SBB scenario are solved without relying
on an inflationary phase.
| [
{
"created": "Thu, 20 Sep 2001 19:07:17 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Dec 2001 18:30:16 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Brandenberger",
"Robert",
""
],
[
"Easson",
"Damien A.",
""
],
[
"Kimberly",
"Dagny",
""
]
] | Brane Gas Cosmology (BGC) is an approach to M-theory cosmology in which the initial state of the Universe is taken to be small, dense and hot, with all fundamental degrees of freedom near thermal equilibrium. Such a starting point is in close analogy with the Standard Big Bang (SBB) model. The topology of the Universe is assumed to be toroidal in all nine spatial dimensions and is filled with a gas of p-branes. The dynamics of winding modes allow, at most, three spatial dimensions to become large, thus explaining the origin of our macroscopic 3+1-dimensional Universe. Here we conduct a detailed analysis of the loitering phase of BGC. We do so by including into the equations of motion that describe the dilaton gravity background some new equations which determine the annihilation of string winding modes into string loops. Specific solutions are found within the model that exhibit loitering, i.e. the Universe experiences a short phase of slow contraction during which the Hubble radius grows larger than the physical extent of the Universe. As a result the brane problem (generalized domain wall problem) in BGC is solved. The initial singularity and horizon problems of the SBB scenario are solved without relying on an inflationary phase. |
hep-th/0412181 | Stefano Chiantese | Stefano Chiantese | Isotropic A-branes and the stability condition | 19 pages | JHEP 0502 (2005) 003 | 10.1088/1126-6708/2005/02/003 | HU-EP-04/71 | hep-th | null | The existence of a new kind of branes for the open topological A-model is
argued by using the generalized complex geometry of Hitchin and the SYZ picture
of mirror symmetry. Mirror symmetry suggests to consider a bi-vector in the
normal direction of the brane and a new definition of generalized complex
submanifold. Using this definition, it is shown that there exists generalized
complex submanifolds which are isotropic in a symplectic manifold. For certain
target space manifolds this leads to isotropic A-branes, which should be
considered in addition to Lagrangian and coisotropic A-branes. The Fukaya
category should be enlarged with such branes, which might have interesting
consequences for the homological mirror symmetry of Kontsevich. The stability
condition for isotropic A-branes is studied using the worldsheet approach.
| [
{
"created": "Thu, 16 Dec 2004 18:55:05 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2004 21:27:53 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Chiantese",
"Stefano",
""
]
] | The existence of a new kind of branes for the open topological A-model is argued by using the generalized complex geometry of Hitchin and the SYZ picture of mirror symmetry. Mirror symmetry suggests to consider a bi-vector in the normal direction of the brane and a new definition of generalized complex submanifold. Using this definition, it is shown that there exists generalized complex submanifolds which are isotropic in a symplectic manifold. For certain target space manifolds this leads to isotropic A-branes, which should be considered in addition to Lagrangian and coisotropic A-branes. The Fukaya category should be enlarged with such branes, which might have interesting consequences for the homological mirror symmetry of Kontsevich. The stability condition for isotropic A-branes is studied using the worldsheet approach. |
1311.0584 | Daniel Krefl | Daniel Krefl | Non-Perturbative Quantum Geometry | 20 pages | null | 10.1007/JHEP02(2014)084 | SNUTP13-004 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The beta-ensemble with cubic potential can be used to study a quantum
particle in a double-well potential with symmetry breaking term. The quantum
mechanical perturbative energy arises from the ensemble free energy in a novel
large N limit. A relation between the generating functions of the exact
non-perturbative energy, similar in spirit to the one of Dunne-Unsal, is found.
The exact quantization condition of Zinn-Justin and Jentschura is equivalent to
the Nekrasov-Shatashvili quantization condition on the level of the ensemble.
Refined topological string theory in the Nekrasov-Shatashvili limit arises as a
large N limit of quantum mechanics.
| [
{
"created": "Mon, 4 Nov 2013 05:20:41 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Krefl",
"Daniel",
""
]
] | The beta-ensemble with cubic potential can be used to study a quantum particle in a double-well potential with symmetry breaking term. The quantum mechanical perturbative energy arises from the ensemble free energy in a novel large N limit. A relation between the generating functions of the exact non-perturbative energy, similar in spirit to the one of Dunne-Unsal, is found. The exact quantization condition of Zinn-Justin and Jentschura is equivalent to the Nekrasov-Shatashvili quantization condition on the level of the ensemble. Refined topological string theory in the Nekrasov-Shatashvili limit arises as a large N limit of quantum mechanics. |
2111.11642 | Yilber Fabian Bautista | Yilber Fabian Bautista and Alok Laddha | Soft Constraints on KMOC Formalism | v2: Appendix B included, references added and typos fixed v3: Journal
version | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this note, we investigate the implications of classical soft theorems for
the formalism developed by Kosower, Maybee and O'Connell (KMOC) to derive
classical observables in gauge theory and gravity from scattering amplitudes.
In particular, we show that the radiative electro-magnetic field at leading
order in the soft expansion imposes an infinite hierarchy of constraints on the
expectation value of the family of observables generated by \textit{monomials}
of linear impulse. We perform an explicit check on these constraints at next to
leading order (NLO) in the coupling and as a corollary show how up to NLO, soft
radiation obtained from quantum amplitudes is consistent with the (leading)
classical soft photon theorem.
We also argue that in 4 dimensions the classical log soft theorem derived by
Saha, Sahoo and Sen generates an infinite hierarchy of constraints on the
expectation value of operators which are products of one angular momentum and
an arbitrary number of linear momenta.
| [
{
"created": "Tue, 23 Nov 2021 04:09:38 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2021 21:26:02 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jan 2023 11:04:54 GMT",
"version": "v3"
}
] | 2023-01-13 | [
[
"Bautista",
"Yilber Fabian",
""
],
[
"Laddha",
"Alok",
""
]
] | In this note, we investigate the implications of classical soft theorems for the formalism developed by Kosower, Maybee and O'Connell (KMOC) to derive classical observables in gauge theory and gravity from scattering amplitudes. In particular, we show that the radiative electro-magnetic field at leading order in the soft expansion imposes an infinite hierarchy of constraints on the expectation value of the family of observables generated by \textit{monomials} of linear impulse. We perform an explicit check on these constraints at next to leading order (NLO) in the coupling and as a corollary show how up to NLO, soft radiation obtained from quantum amplitudes is consistent with the (leading) classical soft photon theorem. We also argue that in 4 dimensions the classical log soft theorem derived by Saha, Sahoo and Sen generates an infinite hierarchy of constraints on the expectation value of operators which are products of one angular momentum and an arbitrary number of linear momenta. |
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