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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1408.6545 | Daniel Thompson | Konstadinos Sfetsos and Daniel C. Thompson | New ${\cal N} = 1$ supersymmetric $AdS_5$ backgrounds in Type IIA
supergravity | 15 pages | null | 10.1007/JHEP11(2014)006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a family of N=1 supersymmetric backgrounds in type-IIA
supergravity and their lifts to eleven-dimensional supergravity. These are of
the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The
internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds,
$Y^{p,q}$, via an application of non-Abelian T-duality.
| [
{
"created": "Wed, 27 Aug 2014 20:02:28 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Sfetsos",
"Konstadinos",
""
],
[
"Thompson",
"Daniel C.",
""
]
] | We present a family of N=1 supersymmetric backgrounds in type-IIA supergravity and their lifts to eleven-dimensional supergravity. These are of the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds, $Y^{p,q}$, via an application of non-Abelian T-duality. |
0911.3692 | Bernd Berg | Bernd A. Berg | Lagrangian with U(1)-SU(2) mixing | 2 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Principal axis transformation is performed for a Lagrangian with a U(1)-SU(2)
mixing term, that can cause a SU(2) deconfining transition.
| [
{
"created": "Thu, 19 Nov 2009 02:54:47 GMT",
"version": "v1"
}
] | 2009-11-20 | [
[
"Berg",
"Bernd A.",
""
]
] | Principal axis transformation is performed for a Lagrangian with a U(1)-SU(2) mixing term, that can cause a SU(2) deconfining transition. |
2005.03639 | Oliver Schlotterer | Alex Edison, Song He, Oliver Schlotterer, Fei Teng | One-loop Correlators and BCJ Numerators from Forward Limits | 34+11 pages, 1 figure; v2: typos corrected; cosmetic improvements in
appendix C and elsewhere | JHEP 09 (2020) 079 | 10.1007/JHEP09(2020)079 | UUITP-11/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new formulas for one-loop ambitwistor-string correlators for gauge
theories in any even dimension with arbitrary combinations of gauge bosons,
fermions and scalars running in the loop. Our results are driven by new
all-multiplicity expressions for tree-level two-fermion correlators in the RNS
formalism that closely resemble the purely bosonic ones. After taking forward
limits of tree-level correlators with an additional pair of fermions/bosons,
one-loop correlators become combinations of Lorentz traces in vector and spinor
representations. Identities between these two types of traces manifest all
supersymmetry cancellations and the power counting of loop momentum. We also
obtain parity-odd contributions from forward limits with chiral fermions.
One-loop numerators satisfying the Bern-Carrasco-Johansson (BCJ) duality for
diagrams with linearized propagators can be extracted from such correlators
using the well-established tree-level techniques in Yang-Mills theory coupled
to biadjoint scalars. Finally, we obtain streamlined expressions for BCJ
numerators up to seven points using multiparticle fields.
| [
{
"created": "Thu, 7 May 2020 17:41:38 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 21:45:06 GMT",
"version": "v2"
}
] | 2020-09-15 | [
[
"Edison",
"Alex",
""
],
[
"He",
"Song",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Teng",
"Fei",
""
]
] | We present new formulas for one-loop ambitwistor-string correlators for gauge theories in any even dimension with arbitrary combinations of gauge bosons, fermions and scalars running in the loop. Our results are driven by new all-multiplicity expressions for tree-level two-fermion correlators in the RNS formalism that closely resemble the purely bosonic ones. After taking forward limits of tree-level correlators with an additional pair of fermions/bosons, one-loop correlators become combinations of Lorentz traces in vector and spinor representations. Identities between these two types of traces manifest all supersymmetry cancellations and the power counting of loop momentum. We also obtain parity-odd contributions from forward limits with chiral fermions. One-loop numerators satisfying the Bern-Carrasco-Johansson (BCJ) duality for diagrams with linearized propagators can be extracted from such correlators using the well-established tree-level techniques in Yang-Mills theory coupled to biadjoint scalars. Finally, we obtain streamlined expressions for BCJ numerators up to seven points using multiparticle fields. |
hep-th/9612054 | Ivashchuk Vladimir Dmitrievich | V.D. Ivashchuk and V.N. Melnikov | Multidimensional Gravity with Einstein Internal Spaces | 10 pages, LaTex | Grav.Cosmol. 2 (1996) 211-220 | null | RGS-VNIIMS-003/96 | hep-th gr-qc | null | A multidimensional gravitational model on the manifold $M = M_0 \times
\prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied.
For $N_0 = dim M_0 > 2$ the $\sigma$ model representation is considered and it
is shown that the corresponding Euclidean Toda-like system does not satisfy the
Adler-van-Moerbeke criterion. For $M_0 = R^{N_0}$, $N_0 = 3, 4, 6$ (and the
total dimension $D = dim M = 11, 10, 11$, respectively) nonsingular spherically
symmetric solutions to vacuum Einstein equations are obtained and their
generalizations to arbitrary signatures are considered. It is proved that for a
non-Euclidean signature the Riemann tensor squared of the solutions diverges on
certain hypersurfaces in $R^{N_0}$.
| [
{
"created": "Thu, 5 Dec 1996 09:13:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
]
] | A multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied. For $N_0 = dim M_0 > 2$ the $\sigma$ model representation is considered and it is shown that the corresponding Euclidean Toda-like system does not satisfy the Adler-van-Moerbeke criterion. For $M_0 = R^{N_0}$, $N_0 = 3, 4, 6$ (and the total dimension $D = dim M = 11, 10, 11$, respectively) nonsingular spherically symmetric solutions to vacuum Einstein equations are obtained and their generalizations to arbitrary signatures are considered. It is proved that for a non-Euclidean signature the Riemann tensor squared of the solutions diverges on certain hypersurfaces in $R^{N_0}$. |
1603.02805 | Sayantan Choudhury | Sayantan Choudhury, Shreya Banerjee | Cosmological hysteresis in cyclic universe from membrane paradigm | 12 pages, 6 figures. arXiv admin note: substantial text overlap with
arXiv:1506.02260 | null | null | TIFR/TH/16-07 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological hysteresis is a purely thermodynamical phenomenon caused by the
gradient in pressure, hence the characteristic equation of state during the
expansion and contraction phases of the universe are different, provided that
the universe bounces and recollapses. During hysteresis pressure asymmetry is
created due to the presence of a single scalar field in the dynamical process.
Also such an interesting scenario has vivid implications in cosmology when
applied to variants of modified gravity models described within the framework
of membrane paradigm. Cyclic universe along with scalar field leads to the
increase in the amplitude of the cosmological scale factor at each consecutive
cycles of the universe. Detailed analysis shows that the conditions which
creates a universe with an ever increasing expansion, depend on the signature
of the hysteresis loop integral $\oint pdV$ and on membrane model parameters.
| [
{
"created": "Wed, 9 Mar 2016 08:04:45 GMT",
"version": "v1"
}
] | 2016-03-10 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Banerjee",
"Shreya",
""
]
] | Cosmological hysteresis is a purely thermodynamical phenomenon caused by the gradient in pressure, hence the characteristic equation of state during the expansion and contraction phases of the universe are different, provided that the universe bounces and recollapses. During hysteresis pressure asymmetry is created due to the presence of a single scalar field in the dynamical process. Also such an interesting scenario has vivid implications in cosmology when applied to variants of modified gravity models described within the framework of membrane paradigm. Cyclic universe along with scalar field leads to the increase in the amplitude of the cosmological scale factor at each consecutive cycles of the universe. Detailed analysis shows that the conditions which creates a universe with an ever increasing expansion, depend on the signature of the hysteresis loop integral $\oint pdV$ and on membrane model parameters. |
hep-th/9401048 | T. Schucker | Bruno Iochum, Thomas Schucker | A Left-Right Symmetric Model a la Connes-Lott | 16 pages, report CPT-93/P.2973 | Lett.Math.Phys. 32 (1994) 153-166 | 10.1007/BF00739424 | null | hep-th | null | We present a left-right symmetric model with gauge group $U(@)_L\times
U(@)_R$ in the Connes-Lott non-commutative frame work. Its gauge symmetry is
broken spontaneously, parity remains unbroken.
| [
{
"created": "Wed, 12 Jan 1994 15:33:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Iochum",
"Bruno",
""
],
[
"Schucker",
"Thomas",
""
]
] | We present a left-right symmetric model with gauge group $U(@)_L\times U(@)_R$ in the Connes-Lott non-commutative frame work. Its gauge symmetry is broken spontaneously, parity remains unbroken. |
1303.5253 | Rudra Prakash Malik | R. Kumar, R. P. Malik | Novel discrete symmetries in the general N = 2 supersymmetric quantum
mechanical model | LaTeX file, 9 pages, EPJC format, To appear in EPJC | Eur. Phys. J. C 73: 2514 [p01-p09] (2013) | 10.1140/epjc/s10052-013-2514-7 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In addition to the usual supersymmetric (SUSY) continuous symmetry
transformations for the general N = 2 SUSY quantum mechanical model, we show
the existence of a set of novel discrete symmetry transformations for the
Lagrangian of the above SUSY quantum mechanical model. Out of all these
discrete symmetry transformations, a unique discrete transformation corresponds
to the Hodge duality operation of differential geometry and the above SUSY
continuous symmetry transformations (and their anticommutator) provide the
physical realizations of the de Rham cohomological operators of differential
geometry. Thus, we provide a concrete proof of our earlier conjecture that any
arbitrary N= 2 SUSY quantum mechanical model is an example of a Hodge theory
where the cohomological operators find their physical realizations in the
language of symmetry transformations of this theory. Possible physical
implications of our present study are pointed out, too.
| [
{
"created": "Thu, 21 Mar 2013 13:46:40 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2013 08:08:32 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jul 2013 14:01:12 GMT",
"version": "v3"
}
] | 2014-10-06 | [
[
"Kumar",
"R.",
""
],
[
"Malik",
"R. P.",
""
]
] | In addition to the usual supersymmetric (SUSY) continuous symmetry transformations for the general N = 2 SUSY quantum mechanical model, we show the existence of a set of novel discrete symmetry transformations for the Lagrangian of the above SUSY quantum mechanical model. Out of all these discrete symmetry transformations, a unique discrete transformation corresponds to the Hodge duality operation of differential geometry and the above SUSY continuous symmetry transformations (and their anticommutator) provide the physical realizations of the de Rham cohomological operators of differential geometry. Thus, we provide a concrete proof of our earlier conjecture that any arbitrary N= 2 SUSY quantum mechanical model is an example of a Hodge theory where the cohomological operators find their physical realizations in the language of symmetry transformations of this theory. Possible physical implications of our present study are pointed out, too. |
1908.03279 | Howard Georgi | Howard Georgi and Bea Noether | Non-perturbative Effects and Unparticle Physics in Generalized Schwinger
Models | 24 pages, 7 figures - greatly expanded (note that the one author has
changed her name) | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze generalizations of the Schwinger model with more massless fermions
and more vector fields. We focus on models with the gauge structure of
``diagonal color $SU(n)$'' but unlike previous investigators, we do not assume
that all the gauge boson masses are the same. Unlike the Schwinger model, these
are Banks-Zaks models with conformal sectors that survive at long distances. In
addition to local operators that go to ``unparticle operators'' with non-zero
anomalous dimensions at long distances, they contain local operators like the
$\bar\psi_L\psi_R$ operator in the Schwinger model which go to constants at
long distances. These operators have calculable vacuum expectation values (up
to phases). Cluster decomposition applied to correlation functions involving
these operators yields nontrivial and calculable non-perturbative constraints
on correlation functions. One consequence is ``conformal coalescence'' in which
linear combinations of short distance operators disappear from the
long-distance theory, leaving only one kind of unparticle stuff in the
low-energy theory. We believe that our detailed analysis of diagonal color
$SU(n)$ paints an appealing picture of unparticle operators as the result of an
incomplete binding of the massless fermions. We complete the picture (and the
binding) by analyzing the diagonal color $U(n)$ model with a very small $U(1)$
coupling and thus a gauge boson with a dynamical mass much smaller than the
other masses in the model. This model has a mass gap and we can see explicitly
the transition from free-fermion behavior at short distances to unparticle
physics at intermediate distances to the physics of massive particles at long
distances.
| [
{
"created": "Thu, 8 Aug 2019 22:17:13 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2019 13:03:07 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jun 2020 13:28:56 GMT",
"version": "v3"
}
] | 2020-06-16 | [
[
"Georgi",
"Howard",
""
],
[
"Noether",
"Bea",
""
]
] | We analyze generalizations of the Schwinger model with more massless fermions and more vector fields. We focus on models with the gauge structure of ``diagonal color $SU(n)$'' but unlike previous investigators, we do not assume that all the gauge boson masses are the same. Unlike the Schwinger model, these are Banks-Zaks models with conformal sectors that survive at long distances. In addition to local operators that go to ``unparticle operators'' with non-zero anomalous dimensions at long distances, they contain local operators like the $\bar\psi_L\psi_R$ operator in the Schwinger model which go to constants at long distances. These operators have calculable vacuum expectation values (up to phases). Cluster decomposition applied to correlation functions involving these operators yields nontrivial and calculable non-perturbative constraints on correlation functions. One consequence is ``conformal coalescence'' in which linear combinations of short distance operators disappear from the long-distance theory, leaving only one kind of unparticle stuff in the low-energy theory. We believe that our detailed analysis of diagonal color $SU(n)$ paints an appealing picture of unparticle operators as the result of an incomplete binding of the massless fermions. We complete the picture (and the binding) by analyzing the diagonal color $U(n)$ model with a very small $U(1)$ coupling and thus a gauge boson with a dynamical mass much smaller than the other masses in the model. This model has a mass gap and we can see explicitly the transition from free-fermion behavior at short distances to unparticle physics at intermediate distances to the physics of massive particles at long distances. |
hep-th/9310108 | Konno Hitoshi | Hitoshi Konno | BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$ | 14 pages, RIMS-927 | Mod.Phys.Lett.A9:1253-1266,1994 | 10.1142/S0217732394001076 | null | hep-th | null | Using free field representation of quantum affine algebra
$U_q(\widehat{sl_2})$, we investigate the structure of the Fock modules over
$U_q(\widehat{sl_2})$. The analisys is based on a $q$-analog of the BRST
formalism given by Bernard and Felder in the affine Kac-Moody algebra $\widehat
{sl_2}$. We give an explicit construction of the singular vectors using the
BRST charge. By the same cohomology analysis as the classical case ($q=1$), we
obtain the irreducible highest weight representation space as a nontrivial
cohomology group. This enables us to calculate a trace of the $q$-vertex
operators over this space.
| [
{
"created": "Mon, 18 Oct 1993 10:03:53 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Konno",
"Hitoshi",
""
]
] | Using free field representation of quantum affine algebra $U_q(\widehat{sl_2})$, we investigate the structure of the Fock modules over $U_q(\widehat{sl_2})$. The analisys is based on a $q$-analog of the BRST formalism given by Bernard and Felder in the affine Kac-Moody algebra $\widehat {sl_2}$. We give an explicit construction of the singular vectors using the BRST charge. By the same cohomology analysis as the classical case ($q=1$), we obtain the irreducible highest weight representation space as a nontrivial cohomology group. This enables us to calculate a trace of the $q$-vertex operators over this space. |
1601.00678 | Yihong Wang | Christopher P. Herzog and Yihong Wang | Estimation for Entanglement Negativity of Free Fermions | 18 pages, 2 figures; v2: minor typos corrected,v3: minor
revision,v4:minor typos corrected | null | 10.1088/1742-5468/2016/07/073102 | YITP-SB-15-17 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we study the negativity of one dimensional free fermions. We
derive the general form of the $\mathbb{Z}_{N}$ symmetric term in moments of
the partial transposed (reduced) density matrix, which is an algebraic function
of the end points of the system. Such a path integral turns out to be a
convenient tool for making estimations for the negativity.
| [
{
"created": "Mon, 4 Jan 2016 21:58:19 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jan 2016 22:35:10 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Apr 2016 17:49:25 GMT",
"version": "v3"
},
{
"created": "Thu, 12 May 2016 20:56:56 GMT",
"version": "v4"
}
] | 2016-08-03 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Wang",
"Yihong",
""
]
] | In this letter we study the negativity of one dimensional free fermions. We derive the general form of the $\mathbb{Z}_{N}$ symmetric term in moments of the partial transposed (reduced) density matrix, which is an algebraic function of the end points of the system. Such a path integral turns out to be a convenient tool for making estimations for the negativity. |
hep-th/9310031 | null | C. M. Bender, A. Duncan and H. F. Jones | Convergence of the Optimized Delta Expansion for the Connected Vacuum
Amplitude: Zero Dimensions | 20 pages, LaTeX, Imperial/TP/92-93/55 | Phys.Rev.D49:4219-4225,1994 | 10.1103/PhysRevD.49.4219 | null | hep-th | null | Recent proofs of the convergence of the linear delta expansion in zero and in
one dimensions have been limited to the analogue of the vacuum generating
functional in field theory. In zero dimensions it was shown that with an
appropriate, $N$-dependent, choice of an optimizing parameter $\l$, which is an
important feature of the method, the sequence of approximants $Z_N$ tends to
$Z$ with an error proportional to ${\rm e}^{-cN}$. In the present paper we
establish the convergence of the linear delta expansion for the connected
vacuum function $W=\ln Z$. We show that with the same choice of $\l$ the
corresponding sequence $W_N$ tends to $W$ with an error proportional to ${\rm
e}^{-c\sqrt N}$. The rate of convergence of the latter sequence is governed by
the positions of the zeros of $Z_N$.
| [
{
"created": "Wed, 6 Oct 1993 13:55:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bender",
"C. M.",
""
],
[
"Duncan",
"A.",
""
],
[
"Jones",
"H. F.",
""
]
] | Recent proofs of the convergence of the linear delta expansion in zero and in one dimensions have been limited to the analogue of the vacuum generating functional in field theory. In zero dimensions it was shown that with an appropriate, $N$-dependent, choice of an optimizing parameter $\l$, which is an important feature of the method, the sequence of approximants $Z_N$ tends to $Z$ with an error proportional to ${\rm e}^{-cN}$. In the present paper we establish the convergence of the linear delta expansion for the connected vacuum function $W=\ln Z$. We show that with the same choice of $\l$ the corresponding sequence $W_N$ tends to $W$ with an error proportional to ${\rm e}^{-c\sqrt N}$. The rate of convergence of the latter sequence is governed by the positions of the zeros of $Z_N$. |
hep-th/9510019 | Michael Trunk | Michael Trunk | The five-dimensional Kepler Problem as an SU(2) Gauge System: Algebraic
Constraint Quantization | 29 pages, Latex, no figures | Int.J.Mod.Phys. A11 (1996) 2329-2356 | 10.1142/S0217751X96001176 | null | hep-th gr-qc | null | Starting from the structural similarity between the quantum theory of gauge
systems and that of the Kepler problem, an SU(2) gauge description of the
five-dimensional Kepler problem is given. This non-abelian gauge system is used
as a testing ground for the application of an algebraic constraint quantization
scheme which can be formulated entirely in terms of observable quantities. For
the quantum mechanical reduction only the quadratic Casimir of the constraint
algebra, interpreted as an observable, is needed.
| [
{
"created": "Thu, 5 Oct 1995 10:16:44 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Trunk",
"Michael",
""
]
] | Starting from the structural similarity between the quantum theory of gauge systems and that of the Kepler problem, an SU(2) gauge description of the five-dimensional Kepler problem is given. This non-abelian gauge system is used as a testing ground for the application of an algebraic constraint quantization scheme which can be formulated entirely in terms of observable quantities. For the quantum mechanical reduction only the quadratic Casimir of the constraint algebra, interpreted as an observable, is needed. |
1004.1799 | Igor Ivanov | I. P. Ivanov, C. C. Nishi | Properties of the general NHDM. I. The orbit space | 27 pages, 2 figures | Phys.Rev.D82:015014,2010 | 10.1103/PhysRevD.82.015014 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the scalar sector of the general N-Higgs-doublet model via geometric
constructions in the space of gauge orbits. We give a detailed description of
the shape of the orbit space both for general N and, in more detail, for N=3.
We also comment on remarkable analogies between NHDM and quantum information
theory.
| [
{
"created": "Sun, 11 Apr 2010 12:11:58 GMT",
"version": "v1"
}
] | 2010-12-01 | [
[
"Ivanov",
"I. P.",
""
],
[
"Nishi",
"C. C.",
""
]
] | We study the scalar sector of the general N-Higgs-doublet model via geometric constructions in the space of gauge orbits. We give a detailed description of the shape of the orbit space both for general N and, in more detail, for N=3. We also comment on remarkable analogies between NHDM and quantum information theory. |
hep-th/9401064 | Tatsuo Kobayashi | H.Kawabe, T.Kobayashi and N.Ohtsubo | Minimal String Model in $Z_4$, $Z_6$ and $Z_8$ Orbifold Constructions | 18 pages, KANAZAWA-94-02, Latex file (Minor changes are made.) | null | null | null | hep-th | null | We examine whether a minimal string model possessing the same massless
spectra as the MSSM can be obtained from $Z_4$, $Z_6$ and $Z_8$ orbifold
constructions. Using an anomaly cancellation condition of the target space
duality symmetry, we derive allowable values of a level $k_1$ of U(1)$_Y$ for
the minimal string model on the orbifolds through computer analyses. We
investigate threshold corrections of the gauge coupling constants of SU(3),
SU(2) and U(1)$_Y$ and examine consistencies of the model with the LEP
experiments. It is found that $Z_4$ and $Z_8$-II can not derive the minimal
string model but $Z_6$-I, $Z_6$-II and $Z_8$-I are possible to derive it with
$13/12
\leq k_1\leq 41/30$, $16/15\leq k_1\leq 17/12$ and $1\leq k_1\leq 41/21$
respectively. The minimum values of the moduli on unrotated planes are
estimated within the ranges of the levels.
| [
{
"created": "Fri, 14 Jan 1994 04:50:21 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Mar 1994 01:13:30 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kawabe",
"H.",
""
],
[
"Kobayashi",
"T.",
""
],
[
"Ohtsubo",
"N.",
""
]
] | We examine whether a minimal string model possessing the same massless spectra as the MSSM can be obtained from $Z_4$, $Z_6$ and $Z_8$ orbifold constructions. Using an anomaly cancellation condition of the target space duality symmetry, we derive allowable values of a level $k_1$ of U(1)$_Y$ for the minimal string model on the orbifolds through computer analyses. We investigate threshold corrections of the gauge coupling constants of SU(3), SU(2) and U(1)$_Y$ and examine consistencies of the model with the LEP experiments. It is found that $Z_4$ and $Z_8$-II can not derive the minimal string model but $Z_6$-I, $Z_6$-II and $Z_8$-I are possible to derive it with $13/12 \leq k_1\leq 41/30$, $16/15\leq k_1\leq 17/12$ and $1\leq k_1\leq 41/21$ respectively. The minimum values of the moduli on unrotated planes are estimated within the ranges of the levels. |
hep-th/9809136 | Clovis Wotzasek | Clovis Wotzasek | On the dimensional dependence of the electromagnetic duality groups | RevTex, 6 pages, Accepted for publication Phys. Rev. D | Phys.Rev. D58 (1998) 125026 | 10.1103/PhysRevD.58.125026 | null | hep-th | null | We study the two-fold dimensional dependence of the electromagnetic duality
groups. We introduce the dual projection operation that systematically
discloses the presence of an internal space of potentials where the group
operation is defined. A two-fold property of the kernel in the projection is
shown to define the dimensional dependence of the duality groups. The dual
projection is then generalized to reveal another hidden two-dimensional
structure. The new unifying concept of the external duality space remove the
dimensional dependence of the kernel, allowing the presence of both $Z_2$ and
SO(2) duality groups in all even dimensions. This result, ultimately unifies
the notion of selfduality to all D=2k+2 dimensions. Finally, we show the
presence of an unexpected duality between the internal and external spaces
leading to a duality of the duality groups.
| [
{
"created": "Fri, 18 Sep 1998 23:12:43 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Wotzasek",
"Clovis",
""
]
] | We study the two-fold dimensional dependence of the electromagnetic duality groups. We introduce the dual projection operation that systematically discloses the presence of an internal space of potentials where the group operation is defined. A two-fold property of the kernel in the projection is shown to define the dimensional dependence of the duality groups. The dual projection is then generalized to reveal another hidden two-dimensional structure. The new unifying concept of the external duality space remove the dimensional dependence of the kernel, allowing the presence of both $Z_2$ and SO(2) duality groups in all even dimensions. This result, ultimately unifies the notion of selfduality to all D=2k+2 dimensions. Finally, we show the presence of an unexpected duality between the internal and external spaces leading to a duality of the duality groups. |
1207.0491 | Claus Gerhardt | Claus Gerhardt | A unified quantum theory I: gravity interacting with a Yang-Mills field | v4: minor corrections in some formulas, to appear in ATMP, arXiv
admin note: text overlap with arXiv:1205.1427. text overlap with
arXiv:1205.1427 | Adv. Theor. Math. Phys. 18 (5), 1043 - 1062 (2014) | 10.4310/ATMP.2014.v18.n5.a2 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the results and techniques of a previous paper where we proved the
quantization of gravity we extend the former result by adding a Yang-Mills
functional and a Higgs term to the Einstein-Hilbert action.
| [
{
"created": "Tue, 3 Jul 2012 16:13:49 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jul 2012 10:58:53 GMT",
"version": "v2"
},
{
"created": "Wed, 15 May 2013 19:17:54 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Nov 2013 17:35:01 GMT",
"version": "v4"
}
] | 2014-11-26 | [
[
"Gerhardt",
"Claus",
""
]
] | Using the results and techniques of a previous paper where we proved the quantization of gravity we extend the former result by adding a Yang-Mills functional and a Higgs term to the Einstein-Hilbert action. |
hep-th/0508052 | Hiroaki Nakajima | Katsushi Ito and Hiroaki Nakajima | Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed
Instanton Equations | 13 pages, minor corrections, references added | Phys.Lett. B629 (2005) 93-101 | 10.1016/j.physletb.2005.09.039 | TIT/HEP-541 | hep-th | null | We study deformed supersymmetry in N=2 supersymmetric U(N) gauge theory in
non(anti)commutative N=1 superspace. Using the component formalism, we
construct deformed N=(1,1/2) supersymmetry explicitly. Based on the deformed
supersymmetry, we discuss the C-dependence of the correlators. We also study
the C-deformation of the instanton equation for the gauge group U(2).
| [
{
"created": "Mon, 8 Aug 2005 15:27:06 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2005 13:33:40 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Ito",
"Katsushi",
""
],
[
"Nakajima",
"Hiroaki",
""
]
] | We study deformed supersymmetry in N=2 supersymmetric U(N) gauge theory in non(anti)commutative N=1 superspace. Using the component formalism, we construct deformed N=(1,1/2) supersymmetry explicitly. Based on the deformed supersymmetry, we discuss the C-dependence of the correlators. We also study the C-deformation of the instanton equation for the gauge group U(2). |
1301.5135 | Ulrich Harst | Jan-Eric Daum and Martin Reuter | Einstein-Cartan gravity, Asymptotic Safety, and the running Immirzi
parameter | 121 pages, 8 figures | null | 10.1016/j.aop.2013.04.002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we analyze the functional renormalization group flow of quantum
gravity on the Einstein-Cartan theory space. The latter consists of all action
functionals depending on the spin connection and the vielbein field (co-frame)
which are invariant under both spacetime diffeomorphisms and local frame
rotations. In the first part of the paper we develop a general methodology and
corresponding calculational tools which can be used to analyze the flow
equation for the pertinent effective average action for any truncation of this
theory space. In the second part we apply it to a specific three-dimensional
truncated theory space which is parametrized by Newton's constant, the
cosmological constant, and the Immirzi parameter. A comprehensive analysis of
their scale dependences is performed, and the possibility of defining an
asymptotically safe theory on this hitherto unexplored theory space is
investigated. In principle Asymptotic Safety of metric gravity (at least at the
level of the effective average action) is neither necessary nor sufficient for
Asymptotic Safety on the Einstein-Cartan theory space which might accommodate
different "universality classes" of microscopic quantum gravity theories.
Nevertheless, we do find evidence for the existence of at least one
non-Gaussian renormalization group fixed point which seems suitable for the
Asymptotic Safety construction in a setting where the spin connection and the
vielbein are the fundamental field variables.
| [
{
"created": "Tue, 22 Jan 2013 10:56:15 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Daum",
"Jan-Eric",
""
],
[
"Reuter",
"Martin",
""
]
] | In this paper we analyze the functional renormalization group flow of quantum gravity on the Einstein-Cartan theory space. The latter consists of all action functionals depending on the spin connection and the vielbein field (co-frame) which are invariant under both spacetime diffeomorphisms and local frame rotations. In the first part of the paper we develop a general methodology and corresponding calculational tools which can be used to analyze the flow equation for the pertinent effective average action for any truncation of this theory space. In the second part we apply it to a specific three-dimensional truncated theory space which is parametrized by Newton's constant, the cosmological constant, and the Immirzi parameter. A comprehensive analysis of their scale dependences is performed, and the possibility of defining an asymptotically safe theory on this hitherto unexplored theory space is investigated. In principle Asymptotic Safety of metric gravity (at least at the level of the effective average action) is neither necessary nor sufficient for Asymptotic Safety on the Einstein-Cartan theory space which might accommodate different "universality classes" of microscopic quantum gravity theories. Nevertheless, we do find evidence for the existence of at least one non-Gaussian renormalization group fixed point which seems suitable for the Asymptotic Safety construction in a setting where the spin connection and the vielbein are the fundamental field variables. |
hep-th/0605145 | Andrea Mauri | Andrea Mauri, Silvia Penati, Marco Pirrone, Alberto Santambrogio and
Daniela Zanon | On the perturbative chiral ring for marginally deformed N=4 SYM theories | LaTex, 40 pages, 4 figures, uses JHEP3; v2: minor corrections | JHEP0608:072,2006 | 10.1088/1126-6708/2006/08/072 | Bicocca-FT-06-8, IFUM-865-FT | hep-th | null | For \cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the
\cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring
in the weak coupling regime and for finite N. By exploiting the relation
between the definition of chiral ring and the effective superpotential we
develop a procedure which allows us to easily determine protected chiral
operators up to n loops once the superpotential has been computed up to (n-1)
order. In particular, for the Lunin-Maldacena beta-deformed theory we determine
the quantum structure of a large class of operators up to three loops. We
extend our procedure to more general Leigh-Strassler deformations whose chiral
ring is not fully understood yet and determine the weight-two and weight-three
sectors up to two loops. We use our results to infer general properties of the
chiral ring.
| [
{
"created": "Mon, 15 May 2006 15:10:57 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2006 13:34:26 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Mauri",
"Andrea",
""
],
[
"Penati",
"Silvia",
""
],
[
"Pirrone",
"Marco",
""
],
[
"Santambrogio",
"Alberto",
""
],
[
"Zanon",
"Daniela",
""
]
] | For \cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the \cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring in the weak coupling regime and for finite N. By exploiting the relation between the definition of chiral ring and the effective superpotential we develop a procedure which allows us to easily determine protected chiral operators up to n loops once the superpotential has been computed up to (n-1) order. In particular, for the Lunin-Maldacena beta-deformed theory we determine the quantum structure of a large class of operators up to three loops. We extend our procedure to more general Leigh-Strassler deformations whose chiral ring is not fully understood yet and determine the weight-two and weight-three sectors up to two loops. We use our results to infer general properties of the chiral ring. |
1906.07195 | Silviu Pufu | Damon J. Binder, Shai M. Chester, and Silviu S. Pufu | AdS$_4$/CFT$_3$ from Weak to Strong String Coupling | 49 pages + Appendices, | null | 10.1007/JHEP01(2020)034 | PUPT-2591 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the four-point function of operators in the stress tensor
multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$
is taken to infinity while $N/k^{5}$ is held fixed. In this limit, ABJM theory
is holographically dual to type IIA string theory on $AdS_4\times
\mathbb{CP}^3$ at finite string coupling $g_s \sim (N/k^5)^{1/4}$. While at
leading order in $1/N$, the stress tensor multiplet four-point function can be
computed from type IIA supergravity, in this work we focus on the first
subleading correction, which comes from tree level Witten diagrams with an
$R^4$ interaction vertex. Using superconformal Ward identities, bulk locality,
and the mass deformed sphere free energy previously computed to all orders in
$1/N$ from supersymmetric localization, we determine this $R^4$ correction as a
function of $N/k^5$. Taking its flat space limit, we recover the known $R^4$
contribution to the type IIA S-matrix and reproduce the fact that it only
receives perturbative contributions in $g_s$ from genus zero and genus one
string worldsheets. This is the first check of AdS/CFT at finite $g_s$ for
local operators. Our result for the four-point correlator interpolates between
the large $N$, large 't Hooft coupling limit and the large $N$ finite $k$
limit. From the bulk perspective, this is an interpolation between type IIA
string theory on $AdS_4\times \mathbb{CP}^3$ at small string coupling and
M-theory on $AdS_4\times S^7/\mathbb{Z}_k$.
| [
{
"created": "Mon, 17 Jun 2019 18:00:04 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Binder",
"Damon J.",
""
],
[
"Chester",
"Shai M.",
""
],
[
"Pufu",
"Silviu S.",
""
]
] | We consider the four-point function of operators in the stress tensor multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$ is taken to infinity while $N/k^{5}$ is held fixed. In this limit, ABJM theory is holographically dual to type IIA string theory on $AdS_4\times \mathbb{CP}^3$ at finite string coupling $g_s \sim (N/k^5)^{1/4}$. While at leading order in $1/N$, the stress tensor multiplet four-point function can be computed from type IIA supergravity, in this work we focus on the first subleading correction, which comes from tree level Witten diagrams with an $R^4$ interaction vertex. Using superconformal Ward identities, bulk locality, and the mass deformed sphere free energy previously computed to all orders in $1/N$ from supersymmetric localization, we determine this $R^4$ correction as a function of $N/k^5$. Taking its flat space limit, we recover the known $R^4$ contribution to the type IIA S-matrix and reproduce the fact that it only receives perturbative contributions in $g_s$ from genus zero and genus one string worldsheets. This is the first check of AdS/CFT at finite $g_s$ for local operators. Our result for the four-point correlator interpolates between the large $N$, large 't Hooft coupling limit and the large $N$ finite $k$ limit. From the bulk perspective, this is an interpolation between type IIA string theory on $AdS_4\times \mathbb{CP}^3$ at small string coupling and M-theory on $AdS_4\times S^7/\mathbb{Z}_k$. |
1112.1089 | Masato Minamitsuji | Parvin Moyassari and Masato Minamitsuji | Degravitation Features in the Cascading Gravity Model | 18 pages, 2 figures, matched to the published version | Phys.Rev.D88 (2013) 024043 | 10.1103/PhysRevD.88.024043 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the effective gravitational equations on the codimension-2 and
codimension-1 branes in the cascading gravity model. We then apply our
formulation to the cosmological case and obtain the effective Friedmann
equations on the codimension-2 brane, which are generically given in terms of
integro-differential equations. Adopting an approximation for which the
thickness of the codimension-2 brane is much smaller than the Hubble horizon,
we study the Minkowski and de Sitter codimension-2 brane solutions. Studying
the cosmological solutions shows that the cascading model exhibits the features
necessary for degravitation of the cosmological constant. We also show that
only the branch which does not have the smooth limit to the self-accelerating
branch in five-dimensional model in the absence of the bulk gravity can satisfy
the null energy condition as the criterion of the stability. Note that our
solutions are obtained in a different setup from that of the original cascading
gravity model in the sense that the codimension-1 brane contains matter fields
other than the pure tension.
| [
{
"created": "Mon, 5 Dec 2011 21:07:14 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2013 09:18:06 GMT",
"version": "v2"
}
] | 2013-08-27 | [
[
"Moyassari",
"Parvin",
""
],
[
"Minamitsuji",
"Masato",
""
]
] | We obtain the effective gravitational equations on the codimension-2 and codimension-1 branes in the cascading gravity model. We then apply our formulation to the cosmological case and obtain the effective Friedmann equations on the codimension-2 brane, which are generically given in terms of integro-differential equations. Adopting an approximation for which the thickness of the codimension-2 brane is much smaller than the Hubble horizon, we study the Minkowski and de Sitter codimension-2 brane solutions. Studying the cosmological solutions shows that the cascading model exhibits the features necessary for degravitation of the cosmological constant. We also show that only the branch which does not have the smooth limit to the self-accelerating branch in five-dimensional model in the absence of the bulk gravity can satisfy the null energy condition as the criterion of the stability. Note that our solutions are obtained in a different setup from that of the original cascading gravity model in the sense that the codimension-1 brane contains matter fields other than the pure tension. |
2112.14797 | Bruno Silva | A. R. Aguirre, M. M. Chaichian, B. A. Couto e Silva, B. L.
S\'anchez-Vega | Spin-1/2 "bosons'' with mass dimension 3/2 and fermions with mass
dimension 1 cannot represent physical particle states | 9 pages | Eur. Phys. J. C 82, 958 (2022) | 10.1140/epjc/s10052-022-10952-3 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We delve into the first principles of quantum field theory to prove that the
so-called spin-1/2 ''bosons'' and the fermions with mass dimension 1, including
ELKO, cannot represent physical particle states with spin $1/2$. Specifically,
we first demonstrate that both aforementioned fields are not invariant under
rotational symmetry, which implies that the particles created for these fields
are not eigenstates of the spin operator in the
$(\frac{1}{2},0)\oplus(0,\frac{1}{2})$ representation of the Lorentz group, nor
is it possible to construct a Hamiltonian density scalar under the rotational
group from them. Furthermore, following Weinberg's approach to local causal
fields, we prove that regardless of any discrete symmetry or adjoint structure,
the relativistic fields in the $(\frac{1}{2}, 0) \oplus (0,\frac{1}{2})$
representation satisfy the Fermi-Dirac statistics in complete agreement with
the well-established spin-statistics theorem and experimental results.
| [
{
"created": "Wed, 29 Dec 2021 19:30:01 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2022 22:51:52 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2022 13:43:37 GMT",
"version": "v3"
}
] | 2022-11-01 | [
[
"Aguirre",
"A. R.",
""
],
[
"Chaichian",
"M. M.",
""
],
[
"Silva",
"B. A. Couto e",
""
],
[
"Sánchez-Vega",
"B. L.",
""
]
] | We delve into the first principles of quantum field theory to prove that the so-called spin-1/2 ''bosons'' and the fermions with mass dimension 1, including ELKO, cannot represent physical particle states with spin $1/2$. Specifically, we first demonstrate that both aforementioned fields are not invariant under rotational symmetry, which implies that the particles created for these fields are not eigenstates of the spin operator in the $(\frac{1}{2},0)\oplus(0,\frac{1}{2})$ representation of the Lorentz group, nor is it possible to construct a Hamiltonian density scalar under the rotational group from them. Furthermore, following Weinberg's approach to local causal fields, we prove that regardless of any discrete symmetry or adjoint structure, the relativistic fields in the $(\frac{1}{2}, 0) \oplus (0,\frac{1}{2})$ representation satisfy the Fermi-Dirac statistics in complete agreement with the well-established spin-statistics theorem and experimental results. |
1007.0590 | Carlos Hoyos Badajoz | Carlos Hoyos-Badajoz, Andy O'Bannon and Jackson M. S. Wu | Zero Sound in Strange Metallic Holography | 20 pages, v2 minor corrections, extended discussion in sections 5 and
6, added one footnote and four references, version published in JHEP | JHEP 1009:086,2010 | 10.1007/JHEP09(2010)086 | MPP-2010-76 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One way to model the strange metal phase of certain materials is via a
holographic description in terms of probe D-branes in a Lifshitz spacetime,
characterised by a dynamical exponent z. The background geometry is dual to a
strongly-interacting quantum critical theory while the probe D-branes are dual
to a finite density of charge carriers that can exhibit the characteristic
properties of strange metals. We compute holographically the low-frequency and
low-momentum form of the charge density and current retarded Green's functions
in these systems for massless charge carriers. The results reveal a
quasi-particle excitation when z<2, which in analogy with Landau Fermi liquids
we call zero sound. The real part of the dispersion relation depends on
momentum k linearly, while the imaginary part goes as k^2/z. When z is greater
than or equal to 2 the zero sound is not a well-defined quasi-particle. We also
compute the frequency-dependent conductivity in arbitrary spacetime dimensions.
Using that as a measure of the charge current spectral function, we find that
the zero sound appears only when the spectral function consists of a single
delta function at zero frequency.
| [
{
"created": "Sun, 4 Jul 2010 21:50:01 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2010 09:30:48 GMT",
"version": "v2"
}
] | 2010-10-11 | [
[
"Hoyos-Badajoz",
"Carlos",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Wu",
"Jackson M. S.",
""
]
] | One way to model the strange metal phase of certain materials is via a holographic description in terms of probe D-branes in a Lifshitz spacetime, characterised by a dynamical exponent z. The background geometry is dual to a strongly-interacting quantum critical theory while the probe D-branes are dual to a finite density of charge carriers that can exhibit the characteristic properties of strange metals. We compute holographically the low-frequency and low-momentum form of the charge density and current retarded Green's functions in these systems for massless charge carriers. The results reveal a quasi-particle excitation when z<2, which in analogy with Landau Fermi liquids we call zero sound. The real part of the dispersion relation depends on momentum k linearly, while the imaginary part goes as k^2/z. When z is greater than or equal to 2 the zero sound is not a well-defined quasi-particle. We also compute the frequency-dependent conductivity in arbitrary spacetime dimensions. Using that as a measure of the charge current spectral function, we find that the zero sound appears only when the spectral function consists of a single delta function at zero frequency. |
hep-th/0004036 | Mikael Smedback | A. Alekseev, A. P. Polychronakos and M. Smedb\"ack | On area and entropy of a black hole | LaTeX, 4 pages | Phys.Lett.B574:296-300,2003 | 10.1016/j.physletb.2003.08.062 | null | hep-th | null | We consider a model of a black hole consisting of a number of elementary
components. Examples of such models occur in the Ashtekar's approach to
canonical Quantum Gravity and in M-theory. We show that treating the elementary
components as completely distinguishable leads to the area law for the black
hole entropy. Contrary to previous results, we show that no Bose condensation
occurs, the area has big local fluctuations and that in the framework of
canonical Quantum Gravity the area of the black hole horizon is equidistantly
quantized.
| [
{
"created": "Thu, 6 Apr 2000 13:36:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Alekseev",
"A.",
""
],
[
"Polychronakos",
"A. P.",
""
],
[
"Smedbäck",
"M.",
""
]
] | We consider a model of a black hole consisting of a number of elementary components. Examples of such models occur in the Ashtekar's approach to canonical Quantum Gravity and in M-theory. We show that treating the elementary components as completely distinguishable leads to the area law for the black hole entropy. Contrary to previous results, we show that no Bose condensation occurs, the area has big local fluctuations and that in the framework of canonical Quantum Gravity the area of the black hole horizon is equidistantly quantized. |
0908.2113 | Petr Dunin-Barkowski | P. Dunin-Barkowski, A. Morozov, A. Sleptsov | Lattice Theta Constants vs Riemann Theta Constants and NSR Superstring
Measures | 16 pages | JHEP 0910:072,2009 | 10.1088/1126-6708/2009/10/072 | ITEP/TH-35/09 | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss relations between two different representations of hypothetical
holomorphic NSR measures, based on two different ways of constructing the
semi-modular forms of weight 8. One of these ways is to build forms from the
ordinary Riemann theta constants and another -- from the lattice theta
constants. We discuss unexpectedly elegant relations between lattice theta
constants, corresponding to 16-dimensional self-dual lattices, and Riemann
theta constants and present explicit formulae expressing the former ones
through the latter. Starting from genus 5 the modular-form approach to
construction of NSR measures runs into serious problems and there is a risk
that it fails completely already at genus 6.
| [
{
"created": "Fri, 14 Aug 2009 19:42:44 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2009 16:49:35 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Oct 2009 12:50:28 GMT",
"version": "v3"
}
] | 2009-11-05 | [
[
"Dunin-Barkowski",
"P.",
""
],
[
"Morozov",
"A.",
""
],
[
"Sleptsov",
"A.",
""
]
] | We discuss relations between two different representations of hypothetical holomorphic NSR measures, based on two different ways of constructing the semi-modular forms of weight 8. One of these ways is to build forms from the ordinary Riemann theta constants and another -- from the lattice theta constants. We discuss unexpectedly elegant relations between lattice theta constants, corresponding to 16-dimensional self-dual lattices, and Riemann theta constants and present explicit formulae expressing the former ones through the latter. Starting from genus 5 the modular-form approach to construction of NSR measures runs into serious problems and there is a risk that it fails completely already at genus 6. |
2008.02828 | Arpita Mitra | Nabamita Banerjee, Arindam Bhattacharjee and Arpita Mitra | Classical Soft Theorem in the AdS-Schwarzschild spacetime in small
cosmological constant limit | 35 pages, 1 figure, 2 new references added, minor changes
incorporated | null | 10.1007/JHEP01(2021)038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied scattering of a probe particle by a four dimensional
AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent
perturbatively to leading order in the AdS radius and black hole mass
parameter. Next we define a proper "soft limit" of the radiation and extract
out the "soft factor" from it. We find the correction to the well known flat
space Classical Soft graviton theorem due to the presence of an AdS background.
| [
{
"created": "Thu, 6 Aug 2020 18:26:23 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Aug 2020 17:00:33 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2020 11:20:24 GMT",
"version": "v3"
}
] | 2021-02-03 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Bhattacharjee",
"Arindam",
""
],
[
"Mitra",
"Arpita",
""
]
] | We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we define a proper "soft limit" of the radiation and extract out the "soft factor" from it. We find the correction to the well known flat space Classical Soft graviton theorem due to the presence of an AdS background. |
0905.0932 | Tadashi Takayanagi | Tatsuma Nishioka, Shinsei Ryu and Tadashi Takayanagi | Holographic Entanglement Entropy: An Overview | 52 pages, Invited review article for a special issue "Entanglement
entropy in extended quantum systems" in Journal of Physics A, edited by
P.Calabrese, J. Cardy and B. Doyon; (v2) references added | J.Phys.A42:504008,2009 | 10.1088/1751-8113/42/50/504008 | KUNS-2207, IPMU09-0056 | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we review recent progresses on the holographic
understandings of the entanglement entropy in the AdS/CFT correspondence. After
reviewing the general idea of holographic entanglement entropy, we will explain
its applications to confinement/deconfinement phase transitions, black hole
entropy and covariant formulation of holography.
| [
{
"created": "Thu, 7 May 2009 11:53:40 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2009 16:08:26 GMT",
"version": "v2"
}
] | 2009-12-08 | [
[
"Nishioka",
"Tatsuma",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications to confinement/deconfinement phase transitions, black hole entropy and covariant formulation of holography. |
0711.0770 | Garrett Lisi | A. Garrett Lisi | An Exceptionally Simple Theory of Everything | 31 pages, 7 figures | null | null | null | hep-th gr-qc | null | All fields of the standard model and gravity are unified as an E8 principal
bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4
subalgebras which break down to strong su(3), electroweak su(2) x u(1),
gravitational so(3,1), the frame-Higgs, and three generations of fermions
related by triality. The interactions and dynamics of these 1-form and
Grassmann valued parts of an E8 superconnection are described by the curvature
and action over a four dimensional base manifold.
| [
{
"created": "Tue, 6 Nov 2007 14:25:05 GMT",
"version": "v1"
}
] | 2007-11-13 | [
[
"Lisi",
"A. Garrett",
""
]
] | All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold. |
hep-th/0703206 | I-Sheng Yang | Raphael Bousso and I-Sheng Yang | Landscape Predictions from Cosmological Vacuum Selection | 15 pages, 6 figures, v4 prd format, minor editing | Phys.Rev.D75:123520,2007 | 10.1103/PhysRevD.75.123520 | null | hep-th astro-ph gr-qc hep-ph | null | In BP models with hundreds of fluxes, we compute the effects of cosmological
dynamics on the probability distribution of landscape vacua. Starting from
generic initial conditions, we find that most fluxes are dynamically driven
into a different and much narrower range of values than expected from landscape
statistics alone. Hence, cosmological evolution will access only a tiny
fraction of the vacua with small cosmological constant. This leads to a host of
sharp predictions. Unlike other approaches to eternal inflation, the
holographic measure employed here does not lead to "staggering", an excessive
spread of probabilities that would doom the string landscape as a solution to
the cosmological constant problem.
| [
{
"created": "Fri, 23 Mar 2007 05:53:32 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2007 23:28:24 GMT",
"version": "v2"
},
{
"created": "Wed, 2 May 2007 18:46:42 GMT",
"version": "v3"
},
{
"created": "Wed, 9 May 2007 18:59:30 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Bousso",
"Raphael",
""
],
[
"Yang",
"I-Sheng",
""
]
] | In BP models with hundreds of fluxes, we compute the effects of cosmological dynamics on the probability distribution of landscape vacua. Starting from generic initial conditions, we find that most fluxes are dynamically driven into a different and much narrower range of values than expected from landscape statistics alone. Hence, cosmological evolution will access only a tiny fraction of the vacua with small cosmological constant. This leads to a host of sharp predictions. Unlike other approaches to eternal inflation, the holographic measure employed here does not lead to "staggering", an excessive spread of probabilities that would doom the string landscape as a solution to the cosmological constant problem. |
hep-th/9208018 | null | S. Deser and A. Steif | Gravity Theories with Lightlike Sources in D=3 | 11 pages, harvmac. The sign conventions for topologically massive
gravity used in the original version are replaced by those standard in the
literature | Class.Quant.Grav.9:L153-L160,1992 | 10.1088/0264-9381/9/11/001 | Brandeis preprint BRX-TH-335 | hep-th gr-qc | null | Spacetimes generated by a lightlike particle source for topologically massive
gravity and its limits - Einstein gravity and the pure gravitational
Chern-Simons model - are obtained both by solving the field equations and by
infinite boosts of static metrics. The resulting geometries are the first known
solutions of topologically massive gravity that are asymptotically flat and
generated by compact matter sources. Explicit metrics describing various
multiphoton solutions are also derived. For Einstein gravity, we also construct
such solutions by null boost identifications of Minkowski space and thereby
obtain limits on the energies of the sources.
| [
{
"created": "Wed, 5 Aug 1992 21:59:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 1992 20:40:00 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Deser",
"S.",
""
],
[
"Steif",
"A.",
""
]
] | Spacetimes generated by a lightlike particle source for topologically massive gravity and its limits - Einstein gravity and the pure gravitational Chern-Simons model - are obtained both by solving the field equations and by infinite boosts of static metrics. The resulting geometries are the first known solutions of topologically massive gravity that are asymptotically flat and generated by compact matter sources. Explicit metrics describing various multiphoton solutions are also derived. For Einstein gravity, we also construct such solutions by null boost identifications of Minkowski space and thereby obtain limits on the energies of the sources. |
1505.02780 | Sean Carroll | Kimberly K. Boddy, Sean M. Carroll, and Jason Pollack | Why Boltzmann Brains Don't Fluctuate Into Existence From the De Sitter
Vacuum | Based on a talk given by SMC at, and to appear in the proceedings of,
the Philosophy of Cosmology conference in Tenerife, September 2014 | null | null | CALT-TH-2015-025 | hep-th astro-ph.CO gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many modern cosmological scenarios feature large volumes of spacetime in a de
Sitter vacuum phase. Such models are said to be faced with a "Boltzmann Brain
problem" - the overwhelming majority of observers with fixed local conditions
are random fluctuations in the de Sitter vacuum, rather than arising via
thermodynamically sensible evolution from a low-entropy past. We argue that
this worry can be straightforwardly avoided in the Many-Worlds (Everett)
approach to quantum mechanics, as long as the underlying Hilbert space is
infinite-dimensional. In that case, de Sitter settles into a truly stationary
quantum vacuum state. While there would be a nonzero probability for observing
Boltzmann-Brain-like fluctuations in such a state, "observation" refers to a
specific kind of dynamical process that does not occur in the vacuum (which is,
after all, time-independent). Observers are necessarily out-of-equilibrium
physical systems, which are absent in the vacuum. Hence, the fact that
projection operators corresponding to states with observers in them do not
annihilate the vacuum does not imply that such observers actually come into
existence. The Boltzmann Brain problem is therefore much less generic than has
been supposed.
| [
{
"created": "Mon, 11 May 2015 20:01:05 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Boddy",
"Kimberly K.",
""
],
[
"Carroll",
"Sean M.",
""
],
[
"Pollack",
"Jason",
""
]
] | Many modern cosmological scenarios feature large volumes of spacetime in a de Sitter vacuum phase. Such models are said to be faced with a "Boltzmann Brain problem" - the overwhelming majority of observers with fixed local conditions are random fluctuations in the de Sitter vacuum, rather than arising via thermodynamically sensible evolution from a low-entropy past. We argue that this worry can be straightforwardly avoided in the Many-Worlds (Everett) approach to quantum mechanics, as long as the underlying Hilbert space is infinite-dimensional. In that case, de Sitter settles into a truly stationary quantum vacuum state. While there would be a nonzero probability for observing Boltzmann-Brain-like fluctuations in such a state, "observation" refers to a specific kind of dynamical process that does not occur in the vacuum (which is, after all, time-independent). Observers are necessarily out-of-equilibrium physical systems, which are absent in the vacuum. Hence, the fact that projection operators corresponding to states with observers in them do not annihilate the vacuum does not imply that such observers actually come into existence. The Boltzmann Brain problem is therefore much less generic than has been supposed. |
1406.7184 | Chris White | C. D. White | Diagrammatic insights into next-to-soft corrections | 12 pages, 4 figures | null | 10.1016/j.physletb.2014.08.041 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We confirm recently proposed theorems for the structure of next-to-soft
corrections in gauge and gravity theories using diagrammatic techniques, first
developed for use in QCD phenomenology. Our aim is to provide a useful
alternative insight into the next-to-soft theorems, including tools that may be
useful for further study. We also shed light on a recently observed double copy
relation between next-to-soft corrections in the gauge and gravity cases.
| [
{
"created": "Fri, 27 Jun 2014 14:03:03 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"White",
"C. D.",
""
]
] | We confirm recently proposed theorems for the structure of next-to-soft corrections in gauge and gravity theories using diagrammatic techniques, first developed for use in QCD phenomenology. Our aim is to provide a useful alternative insight into the next-to-soft theorems, including tools that may be useful for further study. We also shed light on a recently observed double copy relation between next-to-soft corrections in the gauge and gravity cases. |
1806.03138 | Ljubica Davidovic | Lj. Davidovi\'c and B. Sazdovi\'c | The T-dual symmetries of a bosonic string | null | Eur. Phys. J. C (2018) 78:600 | 10.1140/epjc/s10052-018-6076-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate whether the symmetry transformations of a bosonic string are
connected by T-duality. We start with a standard closed string theory. We
continue with a modified open string theory, modified to preserve the symmetry
transformations possessed by the closed string theory. Because the string
theory is conformally invariant world sheet field theory, in order to find the
transformations which preserve the physics, one has to demand the isomorphism
between the conformal field theories corresponding to the initial and the
transformed field configurations. We find the symmetry transformations
corresponding to the similarity transformation of the energy-momentum tensor,
and find that their generators are T-dual. Particularly, we find that the
general coordinate and local gauge transformations are T-dual, so we conclude
that T-duality in addition to the well known exchanges, transforms symmetries
of the initial and its T-dual theory into each other.
| [
{
"created": "Fri, 8 Jun 2018 13:21:10 GMT",
"version": "v1"
}
] | 2018-10-09 | [
[
"Davidović",
"Lj.",
""
],
[
"Sazdović",
"B.",
""
]
] | We investigate whether the symmetry transformations of a bosonic string are connected by T-duality. We start with a standard closed string theory. We continue with a modified open string theory, modified to preserve the symmetry transformations possessed by the closed string theory. Because the string theory is conformally invariant world sheet field theory, in order to find the transformations which preserve the physics, one has to demand the isomorphism between the conformal field theories corresponding to the initial and the transformed field configurations. We find the symmetry transformations corresponding to the similarity transformation of the energy-momentum tensor, and find that their generators are T-dual. Particularly, we find that the general coordinate and local gauge transformations are T-dual, so we conclude that T-duality in addition to the well known exchanges, transforms symmetries of the initial and its T-dual theory into each other. |
2207.08291 | Thomas Thiemann | T. Thiemann | Hamiltonian Renormalisation VII: Free fermions and doubler free kernels | 15p, no figures | null | null | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Hamiltonian renormalisation programme motivated by constructive QFT and
Osterwalder-Schrader reconstruction which was recently launched for bosonic
field theories is extended to fermions. As fermion quantisation is not in terms
of measures, the scheme has to be mildly modified accordingly.
We exemplify the scheme for free fermions both for compact and non-compact
spatial topologies respectively (i.e. with and without IR cut-off) and
demonstrate that the convenient Dirichlet or Shannon coarse graining kernels
recently advertised in a companion paper lead to a manifestly doubler free
flow.
| [
{
"created": "Sun, 17 Jul 2022 21:17:27 GMT",
"version": "v1"
}
] | 2022-07-19 | [
[
"Thiemann",
"T.",
""
]
] | The Hamiltonian renormalisation programme motivated by constructive QFT and Osterwalder-Schrader reconstruction which was recently launched for bosonic field theories is extended to fermions. As fermion quantisation is not in terms of measures, the scheme has to be mildly modified accordingly. We exemplify the scheme for free fermions both for compact and non-compact spatial topologies respectively (i.e. with and without IR cut-off) and demonstrate that the convenient Dirichlet or Shannon coarse graining kernels recently advertised in a companion paper lead to a manifestly doubler free flow. |
1005.4347 | Krzysztof Turzynski | Sera Cremonini, Zygmunt Lalak and Krzysztof Turzynski | On Non-Canonical Kinetic Terms and the Tilt of the Power Spectrum | typos corrected, discussion slightly modified, matches published
version | Phys.Rev.D82:047301,2010 | 10.1103/PhysRevD.82.047301 | IFT-10-04, DAMTP-2010-41, MIFPA-10-20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that in models of inflation with two scalar fields and non-canonical
kinetic terms there is a possibility of obtaining a red tilt of the power
spectrum of curvature perturbations from noncanonicality-induced interactions
between the curvature and isocurvature perturbations. We describe an extremely
simple model realizing this idea, study numerically its predictions for the
perturbations and discuss applications in realistic scenarios of inflation. We
discuss to what extent in this model the scale of the inflationary potential
can be decoupled from the amplitude of the density fluctuations.
| [
{
"created": "Mon, 24 May 2010 15:04:50 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jul 2010 22:00:40 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Cremonini",
"Sera",
""
],
[
"Lalak",
"Zygmunt",
""
],
[
"Turzynski",
"Krzysztof",
""
]
] | We argue that in models of inflation with two scalar fields and non-canonical kinetic terms there is a possibility of obtaining a red tilt of the power spectrum of curvature perturbations from noncanonicality-induced interactions between the curvature and isocurvature perturbations. We describe an extremely simple model realizing this idea, study numerically its predictions for the perturbations and discuss applications in realistic scenarios of inflation. We discuss to what extent in this model the scale of the inflationary potential can be decoupled from the amplitude of the density fluctuations. |
hep-th/0105062 | Roberto Emparan | Roberto Emparan | Tubular Branes in Fluxbranes | 25 pages. v2: some points concerning the non-singular string loop are
refined. References added | Nucl.Phys. B610 (2001) 169-189 | 10.1016/S0550-3213(01)00332-7 | CERN-TH/2001-122 | hep-th | null | We describe the construction of new configurations of self-gravitating
p-branes with worldvolume geometries of the form R^{1,p-s} x S^s, with 1\leq
s\leq p, ie, tubular branes. Since such branes are typically unstable against
collapse of the sphere, they must be held in equilibrium by a fluxbrane. We
present solutions for string loops with non-singular horizons, as well as
M5-branes intersecting over such loops. We also construct tubular branes which
carry in their worldvolume a dissolved, lower dimensional brane (as in the
dielectric effect), or an F-string. However, the connection between our
solutions and related configurations that have been studied earlier in the
absence of brane self-gravity, is unclear. It is argued that, at least in some
instances, the self-gravitating solutions do not appear to be able to reproduce
stable configurations of tubular branes.
| [
{
"created": "Mon, 7 May 2001 18:02:55 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2001 16:43:51 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Emparan",
"Roberto",
""
]
] | We describe the construction of new configurations of self-gravitating p-branes with worldvolume geometries of the form R^{1,p-s} x S^s, with 1\leq s\leq p, ie, tubular branes. Since such branes are typically unstable against collapse of the sphere, they must be held in equilibrium by a fluxbrane. We present solutions for string loops with non-singular horizons, as well as M5-branes intersecting over such loops. We also construct tubular branes which carry in their worldvolume a dissolved, lower dimensional brane (as in the dielectric effect), or an F-string. However, the connection between our solutions and related configurations that have been studied earlier in the absence of brane self-gravity, is unclear. It is argued that, at least in some instances, the self-gravitating solutions do not appear to be able to reproduce stable configurations of tubular branes. |
hep-th/0102144 | Timon Boehm | Timon Boehm, Ruth Durrer and Carsten van de Bruck | Dynamical Instabilities of the Randall-Sundrum Model | 12 pages, 2 figures | Phys.Rev. D64 (2001) 063504 | 10.1103/PhysRevD.64.063504 | DAMPT-2001-16 | hep-th astro-ph gr-qc | null | We derive dynamical equations to describe a single 3-brane containing fluid
matter and a scalar field coupling to the dilaton and the gravitational field
in a five dimensional bulk. First, we show that a scalar field or an arbitrary
fluid on the brane cannot evolve to cancel the cosmological constant in the
bulk. Then we show that the Randall-Sundrum model is unstable under small
deviations from the fine-tuning between the brane tension and the bulk
cosmological constant and even under homogeneous gravitational perturbations.
Implications for brane world cosmologies are discussed.
| [
{
"created": "Wed, 21 Feb 2001 16:02:10 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jul 2001 09:04:54 GMT",
"version": "v2"
}
] | 2012-10-23 | [
[
"Boehm",
"Timon",
""
],
[
"Durrer",
"Ruth",
""
],
[
"van de Bruck",
"Carsten",
""
]
] | We derive dynamical equations to describe a single 3-brane containing fluid matter and a scalar field coupling to the dilaton and the gravitational field in a five dimensional bulk. First, we show that a scalar field or an arbitrary fluid on the brane cannot evolve to cancel the cosmological constant in the bulk. Then we show that the Randall-Sundrum model is unstable under small deviations from the fine-tuning between the brane tension and the bulk cosmological constant and even under homogeneous gravitational perturbations. Implications for brane world cosmologies are discussed. |
hep-th/0007042 | Shinsuke M. Nishigaki | S. M. Nishigaki | Comment on Dirac spectral sum rules for QCD_3 | REVTeX 3.1, 2 pages, no figure. (v2) redundant part removed,
conclusion unchanged | Phys.Rev. D64 (2001) 018901 | 10.1103/PhysRevD.64.018901 | TIT-HEP-452 | hep-th cond-mat | null | Recently Magnea hep-th/9907096 , hep-th/9912207 [Phys.Rev.D61, 056005 (2000);
Phys.Rev.D62, 016005 (2000)] claimed to have computed the first sum rules for
Dirac operators in 3D gauge theories from 0D non-linear sigma models. I point
out that these computations are incorrect, and that they contradict with the
exact results for the spectral densities unambiguously derived from random
matrix theory by Nagao and myself.
| [
{
"created": "Wed, 5 Jul 2000 23:49:46 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Oct 2000 20:17:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Nishigaki",
"S. M.",
""
]
] | Recently Magnea hep-th/9907096 , hep-th/9912207 [Phys.Rev.D61, 056005 (2000); Phys.Rev.D62, 016005 (2000)] claimed to have computed the first sum rules for Dirac operators in 3D gauge theories from 0D non-linear sigma models. I point out that these computations are incorrect, and that they contradict with the exact results for the spectral densities unambiguously derived from random matrix theory by Nagao and myself. |
hep-th/0612195 | Anthony N. Aguirre | Anthony Aguirre, Steven Gratton, and Matthew C Johnson | Measures on transitions for cosmology from eternal inflation | 4 pages, 1 figures, accepted to PRL; minor changes to match published
version | Phys.Rev.Lett.98:131301,2007 | 10.1103/PhysRevLett.98.131301 | null | hep-th | null | We argue that in the context of eternal inflation in the landscape, making
predictions for cosmological -- and possibly particle physics -- observables
requires a measure on the possible cosmological histories as opposed to one on
the vacua themselves. If significant slow-roll inflation occurs, the
observables are generally determined by the history after the last transition
between metastable vacua. Hence we start from several existing measures for
counting vacua and develop measures for counting the transitions between vacua.
| [
{
"created": "Tue, 19 Dec 2006 18:57:05 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2007 20:32:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Aguirre",
"Anthony",
""
],
[
"Gratton",
"Steven",
""
],
[
"Johnson",
"Matthew C",
""
]
] | We argue that in the context of eternal inflation in the landscape, making predictions for cosmological -- and possibly particle physics -- observables requires a measure on the possible cosmological histories as opposed to one on the vacua themselves. If significant slow-roll inflation occurs, the observables are generally determined by the history after the last transition between metastable vacua. Hence we start from several existing measures for counting vacua and develop measures for counting the transitions between vacua. |
2304.07885 | Senarath P. de Alwis | S.P. de Alwis | Comments on Entropy Calculations in Gravitational Systems | 21 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We discuss the logic of, and some puzzles in, the various approaches to
thermodynamics of gravitational systems. In particular the blackhole, deSitter
(dS), black hole in dS (SdS) and in Anti-deSitter SAdS backgrounds are
considered. After reviewing the original calculations of Hawking and Gibbons we
discuss an alternative Hamiltonian method. This justifies the lowest order
Euclidean calculation but is free of the problems associated with the latter
when going to higher orders. To conclude we address the sign issue in dS
thermodynamics.
| [
{
"created": "Sun, 16 Apr 2023 20:46:11 GMT",
"version": "v1"
}
] | 2023-04-19 | [
[
"de Alwis",
"S. P.",
""
]
] | We discuss the logic of, and some puzzles in, the various approaches to thermodynamics of gravitational systems. In particular the blackhole, deSitter (dS), black hole in dS (SdS) and in Anti-deSitter SAdS backgrounds are considered. After reviewing the original calculations of Hawking and Gibbons we discuss an alternative Hamiltonian method. This justifies the lowest order Euclidean calculation but is free of the problems associated with the latter when going to higher orders. To conclude we address the sign issue in dS thermodynamics. |
hep-th/9906100 | Jorge Gamboa | J. Gamboa | Fermions on Non-Trivial Topologies | Some portions re-written, references added. To appear in PLB | Phys.Lett. B477 (2000) 469-473 | 10.1016/S0370-2693(00)00243-4 | USACH/99/11 | hep-th | null | An exact expression for the Green function of a purely fermionic system
moving on the manifold $\Re \times \Sigma^{D-1}$, where $\Sigma^{D-1}$ is a
$(D-1)$-torus, is found. This expression involves the bosonic analog of $\chi_n
= e^{in\theta}$ corresponding to the irreducible representation for the n-th
class of homotopy and in the fermionic case for D=2 and 3, $\chi_n$ is a
measure of the statistics of the particles. For higher dimensions ($D \geq 4$),
there is no analogue interpretation however this could, presumably, indicate a
generation of mass as in quantum field theories at finite temperature.
| [
{
"created": "Mon, 14 Jun 1999 17:59:03 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2000 19:08:58 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gamboa",
"J.",
""
]
] | An exact expression for the Green function of a purely fermionic system moving on the manifold $\Re \times \Sigma^{D-1}$, where $\Sigma^{D-1}$ is a $(D-1)$-torus, is found. This expression involves the bosonic analog of $\chi_n = e^{in\theta}$ corresponding to the irreducible representation for the n-th class of homotopy and in the fermionic case for D=2 and 3, $\chi_n$ is a measure of the statistics of the particles. For higher dimensions ($D \geq 4$), there is no analogue interpretation however this could, presumably, indicate a generation of mass as in quantum field theories at finite temperature. |
hep-th/9109050 | null | L. Alvarez-Gaume, Ph. Zaugg | Structure constants in the N=1 superoperator algebra | 68 pages | Annals Phys. 215 (1992) 171-230 | 10.1016/0003-4916(92)90303-4 | null | hep-th | null | Using the Coulomb Gas formulation of N=1 Superconformal Field Theories, we
extend the arguments of Dotsenko and Fateev for the bosonic case to evaluate
the structure constants of N=1 minimal Superconformal Algebras in the
Neveu-Schwarz sector.
| [
{
"created": "Wed, 25 Sep 1991 22:51:49 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Alvarez-Gaume",
"L.",
""
],
[
"Zaugg",
"Ph.",
""
]
] | Using the Coulomb Gas formulation of N=1 Superconformal Field Theories, we extend the arguments of Dotsenko and Fateev for the bosonic case to evaluate the structure constants of N=1 minimal Superconformal Algebras in the Neveu-Schwarz sector. |
hep-th/0201110 | Laurent Baulieu | Laurent Baulieu | Quantum Field Theory with Extra Dimensions | Latex file | Les Houches Proceedings, August 2001 | null | null | hep-th | null | We explain that a bulk with arbitrary dimensions can be added to the space
over which a quantum field theory is defined. This gives a TQFT such that its
correlation functions in a slice are the same as those of the original quantum
field theory. This generalizes the stochastic quantization scheme, where the
bulk is one dimensional.
| [
{
"created": "Tue, 15 Jan 2002 18:15:03 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Baulieu",
"Laurent",
""
]
] | We explain that a bulk with arbitrary dimensions can be added to the space over which a quantum field theory is defined. This gives a TQFT such that its correlation functions in a slice are the same as those of the original quantum field theory. This generalizes the stochastic quantization scheme, where the bulk is one dimensional. |
hep-th/9703131 | Frank Wilczek | Lorenzo Cornalba and Frank Wilczek | Cross-Confinement in Multi-Chern-Simons Theories | Simplified Equation 13, Corrected Ref. 1, Phyzzx, 8 Pages | Phys.Rev.Lett. 78 (1997) 4679-4681 | 10.1103/PhysRevLett.78.4679 | IASSNS-HEP 97-22 | hep-th cond-mat | null | We identify a class of 2+1 dimensional models, involving multiple
Chern-Simons gauge fields, in which a form of classical confinement occurs.
This confinement is not cumulative, but allows finite mass combinations of
individually confined objects, as in baryons. The occurrence and nature of the
phenomena depends on number theoretic properties of the couplings and charges.
| [
{
"created": "Tue, 18 Mar 1997 21:45:24 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 1997 14:45:52 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Apr 1997 19:16:10 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Cornalba",
"Lorenzo",
""
],
[
"Wilczek",
"Frank",
""
]
] | We identify a class of 2+1 dimensional models, involving multiple Chern-Simons gauge fields, in which a form of classical confinement occurs. This confinement is not cumulative, but allows finite mass combinations of individually confined objects, as in baryons. The occurrence and nature of the phenomena depends on number theoretic properties of the couplings and charges. |
1609.01723 | Sebastian Franco | Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa | Brane Brick Models in the Mirror | 74 pages, 56 figures | JHEP 1702:106,2017 | 10.1007/JHEP02(2017)106 | CCNY-HEP-16-07, SNUTP16-004, KIAS-P16062 | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Brane brick models are Type IIA brane configurations that encode the $2d$
$\mathcal{N}=(0,2)$ gauge theories on the worldvolume of D1-branes probing
toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding
of this correspondence and to provide a systematic approach for constructing
brane brick models starting from geometry. The mirror configuration consists of
D5-branes wrapping 4-spheres and the gauge theory is determined by how they
intersect. We also explain how $2d$ $(0,2)$ triality is realized in terms of
geometric transitions in the mirror geometry. Mirror symmetry leads to a
geometric unification of dualities in different dimensions, where the order of
duality is $n-1$ for a Calabi-Yau $n$-fold. This makes us conjecture the
existence of a quadrality symmetry in $0d$. Finally, we comment on how the
M-theory lift of brane brick models connects to the classification of $2d$
$(0,2)$ theories in terms of 4-manifolds.
| [
{
"created": "Tue, 6 Sep 2016 20:00:02 GMT",
"version": "v1"
}
] | 2017-03-01 | [
[
"Franco",
"Sebastian",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Seong",
"Rak-Kyeong",
""
],
[
"Vafa",
"Cumrun",
""
]
] | Brane brick models are Type IIA brane configurations that encode the $2d$ $\mathcal{N}=(0,2)$ gauge theories on the worldvolume of D1-branes probing toric Calabi-Yau 4-folds. We use mirror symmetry to improve our understanding of this correspondence and to provide a systematic approach for constructing brane brick models starting from geometry. The mirror configuration consists of D5-branes wrapping 4-spheres and the gauge theory is determined by how they intersect. We also explain how $2d$ $(0,2)$ triality is realized in terms of geometric transitions in the mirror geometry. Mirror symmetry leads to a geometric unification of dualities in different dimensions, where the order of duality is $n-1$ for a Calabi-Yau $n$-fold. This makes us conjecture the existence of a quadrality symmetry in $0d$. Finally, we comment on how the M-theory lift of brane brick models connects to the classification of $2d$ $(0,2)$ theories in terms of 4-manifolds. |
1710.05447 | Yuriy Ostapov | Yuriy Ostapov | The generating functional for the electromagnetic interaction in the
strong gravitational field | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article is devoted problems of electromagnetic interaction in curved
spacetime. Such problems exist, in particular, when we investigate
electromagnetic quantum processes near black holes. The generalization of
reduction formalism permits to find formulas for scattering matrices. For the
free Dirac and electromagnetic fields corresponding generating functionals are
calculated. Next we have found the generating functional for the interaction of
these fields. This result holds the central position in our investigation. By
means of generating functionals and reduction formulas we have obtained the
scattering amplitudes for elementary electrodynamic processes: Compton
scattering and the annihilation of electron-positron pair (for the tree-level
approximation). On the base of these results we have formulated the generalized
Feynman rules for the electromagnetic interaction in curved spacetime. Another
electrodynamic processes can be studied by means of these Feynman rules and
crossing-symmetry. The generating functional can be used to study problems of
quantum statistics in curved spacetime.
| [
{
"created": "Fri, 13 Oct 2017 16:01:51 GMT",
"version": "v1"
}
] | 2017-10-17 | [
[
"Ostapov",
"Yuriy",
""
]
] | This article is devoted problems of electromagnetic interaction in curved spacetime. Such problems exist, in particular, when we investigate electromagnetic quantum processes near black holes. The generalization of reduction formalism permits to find formulas for scattering matrices. For the free Dirac and electromagnetic fields corresponding generating functionals are calculated. Next we have found the generating functional for the interaction of these fields. This result holds the central position in our investigation. By means of generating functionals and reduction formulas we have obtained the scattering amplitudes for elementary electrodynamic processes: Compton scattering and the annihilation of electron-positron pair (for the tree-level approximation). On the base of these results we have formulated the generalized Feynman rules for the electromagnetic interaction in curved spacetime. Another electrodynamic processes can be studied by means of these Feynman rules and crossing-symmetry. The generating functional can be used to study problems of quantum statistics in curved spacetime. |
1404.6053 | Daniele Dorigoni Dr | Daniele Dorigoni, Norman A. Rink | A ladder of topologically non-trivial non-BPS states | 20 pages, 2 figures | null | 10.1016/j.geomphys.2014.06.006 | DAMTP-2014-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a simple quiver gauge theory with gauge group U(r1) x U(r2) and a
Higgs field in the bi-fundamental representation. The back-ground for this
theory is a compact K\"ahler manifold M. For a careful but natural choice of
Higgs field potential the second order field equations can be replaced with a
set of first order BPS equations. We show that the theory admits two energy
gaps: The vacuum is topologically trivial but has finite, non-zero energy and
is not a BPS state. The second gap lies between the vacuum and the first BPS
state. In this gap we find a ladder of states with non-trivial topology, at
equidistant energy levels. We give a semi-explicit construction for such
topologically non-trivial non-BPS states.
| [
{
"created": "Thu, 24 Apr 2014 08:43:53 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Dorigoni",
"Daniele",
""
],
[
"Rink",
"Norman A.",
""
]
] | We consider a simple quiver gauge theory with gauge group U(r1) x U(r2) and a Higgs field in the bi-fundamental representation. The back-ground for this theory is a compact K\"ahler manifold M. For a careful but natural choice of Higgs field potential the second order field equations can be replaced with a set of first order BPS equations. We show that the theory admits two energy gaps: The vacuum is topologically trivial but has finite, non-zero energy and is not a BPS state. The second gap lies between the vacuum and the first BPS state. In this gap we find a ladder of states with non-trivial topology, at equidistant energy levels. We give a semi-explicit construction for such topologically non-trivial non-BPS states. |
hep-th/0607049 | Hristu Culetu | Hristu Culetu | Is the Rindler horizon energy nonvanishing ? | 3 pages, revised version, to be published in IJMPD journal | Int.J.Mod.Phys.D15:2177-2180,2006 | 10.1142/S0218271806009601 | null | hep-th gr-qc | null | A nonvanishing value for the Rindler horizon energy is proposed, by an
analogy with the "near horizon" Schwarzschild metric. We show that the Rindler
horizon energy is given by the same formula $E = \alpha/2$ obtained by
Padmanabhan for the Schwarzschild spacetime, where $\alpha$ is the
gravitational radius.
| [
{
"created": "Fri, 7 Jul 2006 15:26:53 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2006 11:16:30 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Culetu",
"Hristu",
""
]
] | A nonvanishing value for the Rindler horizon energy is proposed, by an analogy with the "near horizon" Schwarzschild metric. We show that the Rindler horizon energy is given by the same formula $E = \alpha/2$ obtained by Padmanabhan for the Schwarzschild spacetime, where $\alpha$ is the gravitational radius. |
1609.01081 | Motomu Tsuda | Motomu Tsuda | On the linearization of nonlinear supersymmetry based on the commutator
algebra | 13 pages; references and discussions added | null | 10.1016/j.physletb.2016.11.051 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a linearization procedure of nonlinear supersymmetry (NLSUSY)
based on the closure of the commutator algebra for variations of functionals of
Nambu-Goldstone fermions and their derivative terms under NLSUSY
transformations in Volkov-Akulov NLSUSY theory. In the case of a set of bosonic
and fermionic functionals, which leads to (massless) vector linear
supermultiplets, we explicitly show that general linear SUSY transformations of
basic components defined from those functionals are uniquely determined by
examining the commutation relation in the NLSUSY theory.
| [
{
"created": "Mon, 5 Sep 2016 10:06:17 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Nov 2016 13:31:14 GMT",
"version": "v2"
}
] | 2016-11-29 | [
[
"Tsuda",
"Motomu",
""
]
] | We discuss a linearization procedure of nonlinear supersymmetry (NLSUSY) based on the closure of the commutator algebra for variations of functionals of Nambu-Goldstone fermions and their derivative terms under NLSUSY transformations in Volkov-Akulov NLSUSY theory. In the case of a set of bosonic and fermionic functionals, which leads to (massless) vector linear supermultiplets, we explicitly show that general linear SUSY transformations of basic components defined from those functionals are uniquely determined by examining the commutation relation in the NLSUSY theory. |
2311.13358 | Kevin Loo | Xia Gu, Babak Haghighat and Kevin Loo | Irregular Fibonacci Conformal Blocks | 25 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work studies Liouville conformal blocks of irregular type with the
insertion of at least one level-$3$ degenerate field admitting a Fibonacci
fusion rule. We algebraically derive the corresponding third-order BPZ
equations for regular blocks and their modifications when a rank one irregular
operator is inserted. Employing Lefschetz thimbles as integration cycles, we
then successively proceed to construct integral representations and prove that
they satisfy the corresponding BPZ equations. Finally, we show that taking a
semiclassical limit, these integral representations can be expressed in terms
of Heun functions and have correct leading behaviors consistent with conformal
weights and fusion rules.
| [
{
"created": "Wed, 22 Nov 2023 12:50:19 GMT",
"version": "v1"
}
] | 2023-11-23 | [
[
"Gu",
"Xia",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Loo",
"Kevin",
""
]
] | This work studies Liouville conformal blocks of irregular type with the insertion of at least one level-$3$ degenerate field admitting a Fibonacci fusion rule. We algebraically derive the corresponding third-order BPZ equations for regular blocks and their modifications when a rank one irregular operator is inserted. Employing Lefschetz thimbles as integration cycles, we then successively proceed to construct integral representations and prove that they satisfy the corresponding BPZ equations. Finally, we show that taking a semiclassical limit, these integral representations can be expressed in terms of Heun functions and have correct leading behaviors consistent with conformal weights and fusion rules. |
hep-th/9404083 | null | Silvio J. Rabello and Arvind N. Vaidya | BFV Quantization of Relativistic Spinning Particles with a Single
Bosonic Constraint | 5 p., Latex, IF-UFRJ-94-14 | Mod.Phys.Lett. A9 (1994) 1853-1856 | 10.1142/S0217732394001714 | null | hep-th | null | Using the BFV approach we quantize a pseudoclassical model of the spin one
half relativistic particle that contains a single bosonic constraint, contrary
to the usual locally supersymmetric models that display first and second class
constraints.
| [
{
"created": "Thu, 14 Apr 1994 15:23:54 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Rabello",
"Silvio J.",
""
],
[
"Vaidya",
"Arvind N.",
""
]
] | Using the BFV approach we quantize a pseudoclassical model of the spin one half relativistic particle that contains a single bosonic constraint, contrary to the usual locally supersymmetric models that display first and second class constraints. |
2201.05581 | Oct\'avio Junqueira | Nelson R.F. Braga, Luiz F. Faulhaber, Octavio C. Junqueira | Confinement/Deconfinement temperature for a rotating quark-gluon plasma | 13 pages, 3 figures. More discussions and clarifications about the
thermodynamics of the model and other aspects included, one new appendix and
new references added. Version accepted in Phys. Rev. D | null | 10.1103/PhysRevD.105.106003 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Non-central heavy ion collisions lead to the production of a quark gluon
plasma with angular momentum. We investigate, using holographic AdS/QCD models,
how does rotation of the medium affects the confinement/deconfinement
transition temperature $T_c$. In holographic models, this transition is
represented by a Hawking-Page process involving two asymptotically anti-de
Sitter spaces. The plasma is represented here by extending the holographic
approach to anti-de Sitter spaces with cylindrical symmetry. Then, the rotation
of the medium is introduced through a Lorentz boost. We consider hard and soft
wall AdS/QCD models. In both cases we find it out that, as the rotational
velocity $v$ increases, $T_c$ decreases, following the expression $T_c(v) =
T_c(0)/\gamma(v)$, where $\gamma(v)$ is the Lorentz factor.
| [
{
"created": "Fri, 14 Jan 2022 18:02:05 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2022 01:18:47 GMT",
"version": "v2"
}
] | 2022-05-25 | [
[
"Braga",
"Nelson R. F.",
""
],
[
"Faulhaber",
"Luiz F.",
""
],
[
"Junqueira",
"Octavio C.",
""
]
] | Non-central heavy ion collisions lead to the production of a quark gluon plasma with angular momentum. We investigate, using holographic AdS/QCD models, how does rotation of the medium affects the confinement/deconfinement transition temperature $T_c$. In holographic models, this transition is represented by a Hawking-Page process involving two asymptotically anti-de Sitter spaces. The plasma is represented here by extending the holographic approach to anti-de Sitter spaces with cylindrical symmetry. Then, the rotation of the medium is introduced through a Lorentz boost. We consider hard and soft wall AdS/QCD models. In both cases we find it out that, as the rotational velocity $v$ increases, $T_c$ decreases, following the expression $T_c(v) = T_c(0)/\gamma(v)$, where $\gamma(v)$ is the Lorentz factor. |
hep-th/9305047 | Vladimir Kazakov | Michael R. Douglas and Vladimir A.Kazakov | Large $N$ Phase Transition in Continuum QCD$_2$ | 17 pages, preprint LPTENS-93/20 and RU-93-17 | Phys.Lett. B319 (1993) 219-230 | 10.1016/0370-2693(93)90806-S | null | hep-th | null | We compute the exact partition function for pure continuous Yang-Mills theory
on the two-sphere in the large $N$ limit, and find that it exhibits a large $N$
third order phase transition with respect to the area $A$ of the sphere. The
weak coupling (small A) partition function is trivial, while in the strong
coupling phase (large A) it is expressed in terms of elliptic integrals. We
expand the strong coupling result in a double power series in $e^{-g^2 A}$ and
$g^2 A$ and show that the terms are the weighted sums of branched coverings
proposed by Gross and Taylor. The Wilson loop in the weak coupling phase does
not show the simple area law. We discuss some consequences for higher
dimensions.
| [
{
"created": "Wed, 12 May 1993 00:22:29 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Douglas",
"Michael R.",
""
],
[
"Kazakov",
"Vladimir A.",
""
]
] | We compute the exact partition function for pure continuous Yang-Mills theory on the two-sphere in the large $N$ limit, and find that it exhibits a large $N$ third order phase transition with respect to the area $A$ of the sphere. The weak coupling (small A) partition function is trivial, while in the strong coupling phase (large A) it is expressed in terms of elliptic integrals. We expand the strong coupling result in a double power series in $e^{-g^2 A}$ and $g^2 A$ and show that the terms are the weighted sums of branched coverings proposed by Gross and Taylor. The Wilson loop in the weak coupling phase does not show the simple area law. We discuss some consequences for higher dimensions. |
hep-th/0105299 | Kei-Ichi Kondo | Kei-Ichi Kondo (Chiba Univ.) | Vacuum condensate of mass dimension 2 as the origin of mass gap and
quark confinement | Cover page + 14 pages | Phys.Lett. B514 (2001) 335-345 | 10.1016/S0370-2693(01)00817-6 | CHIBA-EP-129 | hep-th hep-lat hep-ph | null | We propose a vacuum condensate of mass dimension 2 consisting of gluons and
ghosts in the framework of the manifestly covariant gauge fixing of the SU(N)
Yang-Mills theory. This quantity is both BRST and anti-BRST invariant for any
gauge. It includes the ghost condensation $C^a \bar{C}^a$ proposed first in the
modified Maximal Abelian gauge and reduces to the gluon condensates
$(\mathscr{A}_\mu)^2$ of mass dimension 2 proposed recently in the Landau gauge
of the Lorentz gauge fixing. The vacuum condensate of dimensions 2 can provide
the effective mass for gluons and ghosts. The possible existence of such
condensations is demonstrated by calculating the operator product expansion of
the gluon and ghost propagators in both gauges. Its implications to quark
confinement are also discussed in consistent with the previous works.
| [
{
"created": "Wed, 30 May 2001 02:46:20 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ."
]
] | We propose a vacuum condensate of mass dimension 2 consisting of gluons and ghosts in the framework of the manifestly covariant gauge fixing of the SU(N) Yang-Mills theory. This quantity is both BRST and anti-BRST invariant for any gauge. It includes the ghost condensation $C^a \bar{C}^a$ proposed first in the modified Maximal Abelian gauge and reduces to the gluon condensates $(\mathscr{A}_\mu)^2$ of mass dimension 2 proposed recently in the Landau gauge of the Lorentz gauge fixing. The vacuum condensate of dimensions 2 can provide the effective mass for gluons and ghosts. The possible existence of such condensations is demonstrated by calculating the operator product expansion of the gluon and ghost propagators in both gauges. Its implications to quark confinement are also discussed in consistent with the previous works. |
hep-th/0301105 | Marta Gomez-Reino | Marta Gomez-Reino | Prepotential and Instanton Corrections in N=2 Supersymmetric
SU(N_1)xSU(N_2) Yang Mills Theories | 21 pages, 2 figures, minor changes and references added | JHEP 0303 (2003) 043 | 10.1088/1126-6708/2003/03/043 | null | hep-th | null | In this paper we analyse the non-hyperelliptic Seiberg-Witten curves derived
from M-theory that encode the low energy solution of N=2 supersymmetric
theories with product gauge groups. We consider the case of a SU(N_1)xSU(N_2)
gauge theory with a hypermultiplet in the bifundamental representation together
with matter in the fundamental representations of SU(N_1) and SU(N_2). By means
of the Riemann bilinear relations that hold on the Riemann surface defined by
the Seiberg--Witten curve, we compute the logarithmic derivative of the
prepotential with respect to the quantum scales of both gauge groups. As an
application we develop a method to compute recursively the instanton
corrections to the prepotential in a straightforward way. We present explicit
formulas for up to third order on both quantum scales. Furthermore, we extend
those results to SU(N) gauge theories with a matter hypermultiplet in the
symmetric and antisymmetric representation. We also present some non-trivial
checks of our results.
| [
{
"created": "Thu, 16 Jan 2003 15:27:39 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2003 12:04:24 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gomez-Reino",
"Marta",
""
]
] | In this paper we analyse the non-hyperelliptic Seiberg-Witten curves derived from M-theory that encode the low energy solution of N=2 supersymmetric theories with product gauge groups. We consider the case of a SU(N_1)xSU(N_2) gauge theory with a hypermultiplet in the bifundamental representation together with matter in the fundamental representations of SU(N_1) and SU(N_2). By means of the Riemann bilinear relations that hold on the Riemann surface defined by the Seiberg--Witten curve, we compute the logarithmic derivative of the prepotential with respect to the quantum scales of both gauge groups. As an application we develop a method to compute recursively the instanton corrections to the prepotential in a straightforward way. We present explicit formulas for up to third order on both quantum scales. Furthermore, we extend those results to SU(N) gauge theories with a matter hypermultiplet in the symmetric and antisymmetric representation. We also present some non-trivial checks of our results. |
hep-th/9910266 | Laurent Houart | Laurent Houart, Yolanda Lozano | Type II Branes from Brane-Antibrane in M-theory | 19 pages, LaTeX file no figures | Nucl.Phys. B575 (2000) 195-210 | 10.1016/S0550-3213(00)00065-1 | Imperial/TP/99-0/8, CERN-TH-99-331 | hep-th | null | We discuss in a systematic way all the possible realisations of branes of M
and type II theories as topological solitons of a brane-antibrane system. The
classification of all the possibilities, consistent with the structure of the
theory, is achieved by studying the Wess-Zumino terms in the worldvolume
effective actions of the branes of M-theory and their reductions.
| [
{
"created": "Mon, 1 Nov 1999 20:16:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Houart",
"Laurent",
""
],
[
"Lozano",
"Yolanda",
""
]
] | We discuss in a systematic way all the possible realisations of branes of M and type II theories as topological solitons of a brane-antibrane system. The classification of all the possibilities, consistent with the structure of the theory, is achieved by studying the Wess-Zumino terms in the worldvolume effective actions of the branes of M-theory and their reductions. |
hep-th/0611294 | Jan-Markus Schwindt | Martin Reuter, Jan-Markus Schwindt | Scale-dependent metric and causal structures in Quantum Einstein Gravity | 52 pages | JHEP 0701:049,2007 | 10.1088/1126-6708/2007/01/049 | MZ-TH/06-22 | hep-th gr-qc | null | Within the asymptotic safety scenario for gravity various conceptual issues
related to the scale dependence of the metric are analyzed. The running
effective field equations implied by the effective average action of Quantum
Einstein Gravity (QEG) and the resulting families of resolution dependent
metrics are discussed. The status of scale dependent vs. scale independent
diffeomorphisms is clarified, and the difference between isometries implemented
by scale dependent and independent Killing vectors is explained. A concept of
scale dependent causality is proposed and illustrated by various simple
examples. The possibility of assigning an "intrinsic length" to objects in a
QEG spacetime is also discussed.
| [
{
"created": "Mon, 27 Nov 2006 17:48:43 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Reuter",
"Martin",
""
],
[
"Schwindt",
"Jan-Markus",
""
]
] | Within the asymptotic safety scenario for gravity various conceptual issues related to the scale dependence of the metric are analyzed. The running effective field equations implied by the effective average action of Quantum Einstein Gravity (QEG) and the resulting families of resolution dependent metrics are discussed. The status of scale dependent vs. scale independent diffeomorphisms is clarified, and the difference between isometries implemented by scale dependent and independent Killing vectors is explained. A concept of scale dependent causality is proposed and illustrated by various simple examples. The possibility of assigning an "intrinsic length" to objects in a QEG spacetime is also discussed. |
2305.00932 | Jens Hoppe | Jens Hoppe | The ground state of reduced Yang-Mills theory | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the simplest membrane matrix model (corresponding to reduced 3
dimensional SU(2) Yang Mills theory) the form of the ground state wave function
is given.
| [
{
"created": "Thu, 20 Apr 2023 14:32:32 GMT",
"version": "v1"
}
] | 2023-05-02 | [
[
"Hoppe",
"Jens",
""
]
] | For the simplest membrane matrix model (corresponding to reduced 3 dimensional SU(2) Yang Mills theory) the form of the ground state wave function is given. |
hep-th/0104034 | Alexandr Alexandrov | A. Alexandrov | Test for the Myers-Chern-Simons Action | LaTeX, 9 pages, corrected some typos and further acknowledgments | Phys.Lett.B512:146-154,2001 | 10.1016/S0370-2693(01)00677-3 | ITEP/TH 14/01 | hep-th | null | We present a generalization of the infinitesimal gauge transformation for
nonabelian fields on the stack of branes up to the third order in $\Phi$. We
test the gauge invariance of the action up to the fifth order in $\Phi$ for
$D$-instantons. This substantiates the Myers formula for the Chern-Simons term
in action, which describes interaction with the RR fields of $N$ coincident
$\Dp$ branes.
| [
{
"created": "Tue, 3 Apr 2001 23:23:48 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 18:56:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Alexandrov",
"A.",
""
]
] | We present a generalization of the infinitesimal gauge transformation for nonabelian fields on the stack of branes up to the third order in $\Phi$. We test the gauge invariance of the action up to the fifth order in $\Phi$ for $D$-instantons. This substantiates the Myers formula for the Chern-Simons term in action, which describes interaction with the RR fields of $N$ coincident $\Dp$ branes. |
1803.07585 | Joe Davighi | Joe Davighi and Ben Gripaios | Homological classification of topological terms in sigma models on
homogeneous spaces | 42 pages. Version accepted for publication in JHEP, with subsequent
corrections | null | 10.1007/JHEP09(2018)155 | DAMTP-2018-04-09 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify the topological terms (in a sense to be made precise) that may
appear in a non-linear sigma model based on maps from an arbitrary worldvolume
manifold to a homogeneous space $G/H$ (where $G$ is an arbitrary Lie group and
$H \subset G$). We derive a new condition for $G$-invariance of topological
terms, which is necessary and sufficient (at least when $G$ is connected), and
discuss a variety of examples in quantum mechanics and quantum field theory. In
the present work we discuss only terms that may be written in terms of
(possibly only locally-defined) differential forms on $G/H$, leading to an
action that is manifestly local. Such terms come in one of two types, with
prototypical quantum-mechanical examples given by the Aharonov-Bohm effect and
the Dirac monopole. The classification is based on the observation that, for
topological terms, the maps from the worldvolume to $G/H$ may be replaced by
singular homology cycles on $G/H$. In a forthcoming paper we apply the results
to phenomenological models in which the Higgs boson is composite.
| [
{
"created": "Tue, 20 Mar 2018 18:16:48 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2018 12:09:30 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Nov 2018 11:06:58 GMT",
"version": "v3"
}
] | 2018-11-14 | [
[
"Davighi",
"Joe",
""
],
[
"Gripaios",
"Ben",
""
]
] | We classify the topological terms (in a sense to be made precise) that may appear in a non-linear sigma model based on maps from an arbitrary worldvolume manifold to a homogeneous space $G/H$ (where $G$ is an arbitrary Lie group and $H \subset G$). We derive a new condition for $G$-invariance of topological terms, which is necessary and sufficient (at least when $G$ is connected), and discuss a variety of examples in quantum mechanics and quantum field theory. In the present work we discuss only terms that may be written in terms of (possibly only locally-defined) differential forms on $G/H$, leading to an action that is manifestly local. Such terms come in one of two types, with prototypical quantum-mechanical examples given by the Aharonov-Bohm effect and the Dirac monopole. The classification is based on the observation that, for topological terms, the maps from the worldvolume to $G/H$ may be replaced by singular homology cycles on $G/H$. In a forthcoming paper we apply the results to phenomenological models in which the Higgs boson is composite. |
1402.1300 | Brenda Penante | Brenda Penante, Bill Spence, Gabriele Travaglini, Congkao Wen | On super form factors of half-BPS operators in N=4 super Yang-Mills | 29 pages, 11 figures, JHEP version; v3: references added, one typo
fixed | null | 10.1007/JHEP04(2014)083 | QMUL-PH-14-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute form factors of half-BPS operators in N=4 super Yang-Mills dual to
massive Kaluza-Klein modes in supergravity. These are appropriate
supersymmetrisations T_k of the scalar operators Tr(\phi^k) for any k, which
for k=2 give the chiral part of the stress-tensor multiplet operator. Using
harmonic superspace, we derive simple Ward identities for these form factors,
which we then compute perturbatively at tree level and one loop. We propose a
novel on-shell recursion relation which links form factors with different
numbers of fields. Using this, we conjecture a general formula for the n-point
MHV form factors of T_k for arbitrary k and n. Finally, we use supersymmetric
generalised unitarity to derive compact expressions for all one-loop MHV form
factors of T_k in terms of one-loop triangles and finite two-mass easy box
functions.
| [
{
"created": "Thu, 6 Feb 2014 10:12:19 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2014 15:05:59 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jun 2014 15:23:35 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Penante",
"Brenda",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Wen",
"Congkao",
""
]
] | We compute form factors of half-BPS operators in N=4 super Yang-Mills dual to massive Kaluza-Klein modes in supergravity. These are appropriate supersymmetrisations T_k of the scalar operators Tr(\phi^k) for any k, which for k=2 give the chiral part of the stress-tensor multiplet operator. Using harmonic superspace, we derive simple Ward identities for these form factors, which we then compute perturbatively at tree level and one loop. We propose a novel on-shell recursion relation which links form factors with different numbers of fields. Using this, we conjecture a general formula for the n-point MHV form factors of T_k for arbitrary k and n. Finally, we use supersymmetric generalised unitarity to derive compact expressions for all one-loop MHV form factors of T_k in terms of one-loop triangles and finite two-mass easy box functions. |
hep-th/9912130 | Richard Szabo | G. Landi, F. Lizzi and R.J. Szabo | From Large N Matrices to the Noncommutative Torus | 23 pages LaTeX2e | Commun.Math.Phys. 217 (2001) 181-201 | 10.1007/s002200000356 | DSM-QM462, DSF-40/99, NBI-HE-99-48 | hep-th cond-mat gr-qc hep-lat math-ph math.MP math.QA | null | We describe how and to what extent the noncommutative two-torus can be
approximated by a tower of finite-dimensional matrix geometries. The
approximation is carried out for both irrational and rational deformation
parameters by embedding the algebra of the noncommutative torus into an
approximately finite algebra. The construction is a rigorous derivation of the
recent discretizations of noncommutative gauge theories using finite
dimensional matrix models, and it shows precisely how the continuum limits of
these models must be taken. We clarify various aspects of Morita equivalence
using this formalism and describe some applications to noncommutative
Yang-Mills theory.
| [
{
"created": "Wed, 15 Dec 1999 15:13:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Landi",
"G.",
""
],
[
"Lizzi",
"F.",
""
],
[
"Szabo",
"R. J.",
""
]
] | We describe how and to what extent the noncommutative two-torus can be approximated by a tower of finite-dimensional matrix geometries. The approximation is carried out for both irrational and rational deformation parameters by embedding the algebra of the noncommutative torus into an approximately finite algebra. The construction is a rigorous derivation of the recent discretizations of noncommutative gauge theories using finite dimensional matrix models, and it shows precisely how the continuum limits of these models must be taken. We clarify various aspects of Morita equivalence using this formalism and describe some applications to noncommutative Yang-Mills theory. |
1612.08916 | Yegor Korovin | Marco Chiodaroli, John Estes and Yegor Korovin | Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT | 30 pages, PDFLaTex | null | 10.1007/JHEP04(2017)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper investigates scalar perturbations in the top-down supersymmetric
Janus solutions dual to conformal interfaces in the $D1/D5$ CFT, finding
analytic closed-form solutions. We obtain an explicit representation of the
bulk-to-bulk propagator and extract the two-point correlation function of the
dual operator with itself, whose form is not fixed by symmetry alone. We give
an expression involving the sum of conformal blocks associated with the
bulk-defect operator product expansion and briefly discuss finite-temperature
extensions. To our knowledge, this is the first two-point function computation
for a fully-backreacted, top-down holographic defect.
| [
{
"created": "Wed, 28 Dec 2016 16:12:29 GMT",
"version": "v1"
}
] | 2017-05-24 | [
[
"Chiodaroli",
"Marco",
""
],
[
"Estes",
"John",
""
],
[
"Korovin",
"Yegor",
""
]
] | This paper investigates scalar perturbations in the top-down supersymmetric Janus solutions dual to conformal interfaces in the $D1/D5$ CFT, finding analytic closed-form solutions. We obtain an explicit representation of the bulk-to-bulk propagator and extract the two-point correlation function of the dual operator with itself, whose form is not fixed by symmetry alone. We give an expression involving the sum of conformal blocks associated with the bulk-defect operator product expansion and briefly discuss finite-temperature extensions. To our knowledge, this is the first two-point function computation for a fully-backreacted, top-down holographic defect. |
1712.03285 | Niko Jokela | Yago Bea, Niko Jokela, Arttu P\"onni, Alfonso V. Ramallo | Non-commutative massive unquenched ABJM | 41 pages, 14 figures; v2: ref. added, typos corrected | null | 10.1142/S0217751X18500781 | HIP-2017-36/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study non-commutative massive unquenched Chern-Simons matter
theory using its gravity dual. We construct this novel background by applying a
TsT-transformation on the known parent commutative solution. We discuss several
aspects of this solution to the Type IIA supergravity equations of motion and,
amongst others, check that it preserves ${\cal N}=1$ supersymmetry. We then
turn our attention to applications and investigate how dynamical flavor degrees
of freedom affect numerous observables of interest. Our framework can be
regarded as a key step towards the construction of holographic quantum Hall
states on a non-commutative plane.
| [
{
"created": "Fri, 8 Dec 2017 21:27:09 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2018 12:58:12 GMT",
"version": "v2"
}
] | 2018-06-13 | [
[
"Bea",
"Yago",
""
],
[
"Jokela",
"Niko",
""
],
[
"Pönni",
"Arttu",
""
],
[
"Ramallo",
"Alfonso V.",
""
]
] | In this paper we study non-commutative massive unquenched Chern-Simons matter theory using its gravity dual. We construct this novel background by applying a TsT-transformation on the known parent commutative solution. We discuss several aspects of this solution to the Type IIA supergravity equations of motion and, amongst others, check that it preserves ${\cal N}=1$ supersymmetry. We then turn our attention to applications and investigate how dynamical flavor degrees of freedom affect numerous observables of interest. Our framework can be regarded as a key step towards the construction of holographic quantum Hall states on a non-commutative plane. |
2102.12355 | Lorenz Eberhardt | Lorenz Eberhardt | Summing over Geometries in String Theory | 63+26 pages | null | 10.1007/JHEP05(2021)233 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We examine the question how string theory achieves a sum over bulk geometries
with fixed asymptotic boundary conditions. We discuss this problem with the
help of the tensionless string on $\mathcal{M}_3 \times \mathrm{S}^3 \times
\mathbb{T}^4$ (with one unit of NS-NS flux) that was recently understood to be
dual to the symmetric orbifold $\text{Sym}^N(\mathbb{T}^4)$. We strengthen the
analysis of arXiv:2008.07533 and show that the perturbative string partition
function around a fixed bulk background already includes a sum over
semi-classical geometries and large stringy corrections can be interpreted as
various semi-classical geometries. We argue in particular that the string
partition function on a Euclidean wormhole geometry factorizes completely into
factors associated to the two boundaries of spacetime. Central to this is the
remarkable property of the moduli space integral of string theory to localize
on covering spaces of the conformal boundary of $\mathcal{M}_3$. We also
emphasize the fact that string perturbation theory computes the grand canonical
partition function of the family of theories
$\bigoplus_N\text{Sym}^N(\mathbb{T}^4)$. The boundary partition function is
naturally expressed as a sum over winding worldsheets, each of which we
interpret as a `stringy geometry'. We argue that the semi-classical bulk
geometry can be understood as a condensate of such stringy geometries. We also
briefly discuss the effect of ensemble averaging over the Narain moduli space
of $\mathbb{T}^4$ and of deforming away from the orbifold by the marginal
deformation.
| [
{
"created": "Wed, 24 Feb 2021 15:41:56 GMT",
"version": "v1"
}
] | 2023-01-11 | [
[
"Eberhardt",
"Lorenz",
""
]
] | We examine the question how string theory achieves a sum over bulk geometries with fixed asymptotic boundary conditions. We discuss this problem with the help of the tensionless string on $\mathcal{M}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ (with one unit of NS-NS flux) that was recently understood to be dual to the symmetric orbifold $\text{Sym}^N(\mathbb{T}^4)$. We strengthen the analysis of arXiv:2008.07533 and show that the perturbative string partition function around a fixed bulk background already includes a sum over semi-classical geometries and large stringy corrections can be interpreted as various semi-classical geometries. We argue in particular that the string partition function on a Euclidean wormhole geometry factorizes completely into factors associated to the two boundaries of spacetime. Central to this is the remarkable property of the moduli space integral of string theory to localize on covering spaces of the conformal boundary of $\mathcal{M}_3$. We also emphasize the fact that string perturbation theory computes the grand canonical partition function of the family of theories $\bigoplus_N\text{Sym}^N(\mathbb{T}^4)$. The boundary partition function is naturally expressed as a sum over winding worldsheets, each of which we interpret as a `stringy geometry'. We argue that the semi-classical bulk geometry can be understood as a condensate of such stringy geometries. We also briefly discuss the effect of ensemble averaging over the Narain moduli space of $\mathbb{T}^4$ and of deforming away from the orbifold by the marginal deformation. |
2406.00413 | Tadashi Okazaki | Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki | ADHM Wilson line defect indices | 117 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Coulomb and Higgs indices of the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories
can be decorated by line defect operators as the line defect correlators. We
obtain exact closed-form expressions and various non-trivial algebraic
relations for the correlators of the Wilson lines in the fundamental and
(anti)symmetric representations by means of the Hall-Littlewood expansion, the
Fermi-gas method and the residue calculation. From the large $N$ limit of the
correlators we obtain the single particle gravity indices which are expected to
encode the spectra of fluctuation modes on the gravity duals of line operators
in M2-brane SCFTs.
| [
{
"created": "Sat, 1 Jun 2024 12:17:37 GMT",
"version": "v1"
}
] | 2024-06-04 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Nosaka",
"Tomoki",
""
],
[
"Okazaki",
"Tadashi",
""
]
] | The Coulomb and Higgs indices of the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large $N$ limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs. |
hep-th/0010176 | Per Osland | Per Osland (Bergen), Jian-zu Zhang (Bergen, Shanghai) | Critical Phenomenon of a Consistent q-Deformed Squeezed State | 12 pages, LaTeX, including 2 figures | Annals Phys. 290 (2001) 45-52 | 10.1006/aphy.2001.6138 | Bergen 2000-05 | hep-th quant-ph | null | Within a self-consistent framework of q-deformed Heisenberg algebra and its
equivalent framework of q-deformed boson commutation relations, which relate to
the under-cutting phenomenon of Heisenberg's minimal uncertainty relation,
special q-deformed squeezed states are constructed. Besides the similar local
maximum squeezing as the one in the undeformed case, new strong squeezing
appears when the amplitude of the related coherent state increases to large
values. A critical phenomenon appears at a large value of the amplitude: the
variance of one component of the quadrature of the light field approaches zero,
but the variance of the corresponding conjugate quantity remains finite, which
is a surprising deviation from Heisenberg's uncertainty relation. The
qualitative character exposed by this q-squeezed state may provide some
evidence about q-deformed effects in current experiments.
| [
{
"created": "Fri, 20 Oct 2000 12:29:42 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Osland",
"Per",
"",
"Bergen"
],
[
"Zhang",
"Jian-zu",
"",
"Bergen, Shanghai"
]
] | Within a self-consistent framework of q-deformed Heisenberg algebra and its equivalent framework of q-deformed boson commutation relations, which relate to the under-cutting phenomenon of Heisenberg's minimal uncertainty relation, special q-deformed squeezed states are constructed. Besides the similar local maximum squeezing as the one in the undeformed case, new strong squeezing appears when the amplitude of the related coherent state increases to large values. A critical phenomenon appears at a large value of the amplitude: the variance of one component of the quadrature of the light field approaches zero, but the variance of the corresponding conjugate quantity remains finite, which is a surprising deviation from Heisenberg's uncertainty relation. The qualitative character exposed by this q-squeezed state may provide some evidence about q-deformed effects in current experiments. |
1209.1137 | Luis Granda | L. N. Granda and E. Loaiza | Exact solutions in a scalar-tensor model of dark energy | 30 pages, 2 figures, to appear in JCAP | null | 10.1088/1475-7516/2012/09/011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a model of scalar field with non minimal kinetic and Gauss Bonnet
couplings as a source of dark energy. Based on asymptotic limits of the
generalized Friedmann equation, we impose restrictions on the kinetic an
Gauss-Bonnet couplings. This restrictions considerable simplify the equations,
allowing for exact solutions unifying early time matter dominance with
transitions to late time quintessence and phantom phases. The stability of the
solutions in absence of matter has been studied.
| [
{
"created": "Wed, 5 Sep 2012 22:41:10 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Granda",
"L. N.",
""
],
[
"Loaiza",
"E.",
""
]
] | We consider a model of scalar field with non minimal kinetic and Gauss Bonnet couplings as a source of dark energy. Based on asymptotic limits of the generalized Friedmann equation, we impose restrictions on the kinetic an Gauss-Bonnet couplings. This restrictions considerable simplify the equations, allowing for exact solutions unifying early time matter dominance with transitions to late time quintessence and phantom phases. The stability of the solutions in absence of matter has been studied. |
hep-th/9211021 | null | M. Gasperini and G. Veneziano | Pre-Big-Bang in String Cosmology | 36 pages (plus 1 table and 3 figures ava. upon request), CERN-TH.6572 | Astropart.Phys.1:317-339,1993 | 10.1016/0927-6505(93)90017-8 | null | hep-th | null | The duality-type symmetries of string cosmology naturally lead to a
pre-big-bang phase of accelerated evolution as dual counterpart of the
decelerated expansion of standard cosmology. We discuss several properties of
this scenario, including the possibility that tracks of the pre-big-bang may be
found either in the spectrum of relic gravitons or in the distortion they
induce on the cosmic microwave background.
| [
{
"created": "Wed, 4 Nov 1992 13:15:07 GMT",
"version": "v1"
}
] | 2011-05-23 | [
[
"Gasperini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] | The duality-type symmetries of string cosmology naturally lead to a pre-big-bang phase of accelerated evolution as dual counterpart of the decelerated expansion of standard cosmology. We discuss several properties of this scenario, including the possibility that tracks of the pre-big-bang may be found either in the spectrum of relic gravitons or in the distortion they induce on the cosmic microwave background. |
1710.01316 | Benjamin Mosk | Benjamin Mosk | Metric Perturbations of Extremal Surfaces | Example added, see subsection 3.6 and section 6 | Classical and Quantum Gravity, Volume 35, Number 4, 2018 | 10.1088/1361-6382/aaa4e9 | SU-ITP-17/11 | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the HRRT-formula for holographic entanglement entropy, we
consider the following question: what are the position and the surface area of
extremal surfaces in a perturbed geometry, given their anchor on the asymptotic
boundary? We derive explicit expressions for the change in position and surface
area, thereby providing a closed form expression for the canonical energy. We
find that a perturbation governed by some small parameter $\lambda$ yields an
expansion of the surface area in terms of a highly non-local expression
involving multiple integrals of geometric quantities over the original extremal
surface.
| [
{
"created": "Tue, 3 Oct 2017 18:00:18 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2017 17:50:45 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Apr 2019 18:02:35 GMT",
"version": "v3"
}
] | 2019-04-03 | [
[
"Mosk",
"Benjamin",
""
]
] | Motivated by the HRRT-formula for holographic entanglement entropy, we consider the following question: what are the position and the surface area of extremal surfaces in a perturbed geometry, given their anchor on the asymptotic boundary? We derive explicit expressions for the change in position and surface area, thereby providing a closed form expression for the canonical energy. We find that a perturbation governed by some small parameter $\lambda$ yields an expansion of the surface area in terms of a highly non-local expression involving multiple integrals of geometric quantities over the original extremal surface. |
hep-th/0405076 | Tsunehide Kuroki | M. Hanada, M. Hayakawa, N. Ishibashi, H. Kawai, T. Kuroki, Y. Matsuo
and T. Tada | Loops versus Matrices - The nonperturbative aspects of noncritical
string | 58 pages, 3 figures, PTPTeX, published version | Prog.Theor.Phys. 112 (2004) 131-181 | 10.1143/PTP.112.131 | KUNS-1914, RIKEN-TH-24, UTHEP-488 | hep-th | null | The nonperturbative aspects of string theory are explored for non-critical
string in two distinct formulations: loop equations and matrix models. The
effects corresponding to D-brane in these formulations are especially
investigated in detail. It is shown that matrix models can universally yield a
definite value of the chemical potential for an instanton while loop equations
can not. This implies that string theory may not be nonperturbatively
formulated solely in terms of closed strings.
| [
{
"created": "Mon, 10 May 2004 11:52:18 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 2004 17:12:01 GMT",
"version": "v2"
},
{
"created": "Thu, 13 May 2004 13:08:38 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Jun 2004 09:15:20 GMT",
"version": "v4"
},
{
"created": "Wed, 21 Jul 2004 10:56:25 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Hanada",
"M.",
""
],
[
"Hayakawa",
"M.",
""
],
[
"Ishibashi",
"N.",
""
],
[
"Kawai",
"H.",
""
],
[
"Kuroki",
"T.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Tada",
"T.",
""
]
] | The nonperturbative aspects of string theory are explored for non-critical string in two distinct formulations: loop equations and matrix models. The effects corresponding to D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations can not. This implies that string theory may not be nonperturbatively formulated solely in terms of closed strings. |
hep-th/0206167 | Valentin V. Khoze | Chong-Sun Chu, Valentin V. Khoze, Gabriele Travaglini | PP-wave string interactions from n-point correlators of BMN operators | 14 pages, 4 figures. v3: discussions improved, comments on recent
literatures included, results and conclusions unchanged, version to appear in
JHEP | JHEP 0209:054,2002 | 10.1088/1126-6708/2002/09/054 | null | hep-th | null | BMN operators are characterized by the fact that they have infinite R-charge
and finite anomalous dimension in the BMN double scaling limit. Using this
fact, we show that the BMN operators close under operator product expansion and
form a sector in the N=4 supersymmetric Yang-Mills theory. We then identify
short-distance limits of general BMN n-point correlators, and show how they
correspond to the pp-wave string interactions. We also discuss instantons in
the light of the pp-wave/SYM correspondence.
| [
{
"created": "Tue, 18 Jun 2002 19:02:29 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jun 2002 12:54:07 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Sep 2002 14:29:13 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Khoze",
"Valentin V.",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | BMN operators are characterized by the fact that they have infinite R-charge and finite anomalous dimension in the BMN double scaling limit. Using this fact, we show that the BMN operators close under operator product expansion and form a sector in the N=4 supersymmetric Yang-Mills theory. We then identify short-distance limits of general BMN n-point correlators, and show how they correspond to the pp-wave string interactions. We also discuss instantons in the light of the pp-wave/SYM correspondence. |
hep-th/0504063 | Jouko Mickelsson | Jouko Mickelsson | Families index theorem in supersymmetric WZW model and twisted K-theory | Invited talk at "Problemi Attuali di Fisica Teorica", Vietri sul
Mare, March 24, 2005. 12 pages AmsTex | null | null | null | hep-th math.AT | null | The construction of twisted K-theory classes on a compact Lie group is
reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The
Quillen superconnection is introduced for a family of supercharges and the
Chern character for the family is given and its relation to twisted cohomology
is discussed.
| [
{
"created": "Thu, 7 Apr 2005 09:14:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mickelsson",
"Jouko",
""
]
] | The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is introduced for a family of supercharges and the Chern character for the family is given and its relation to twisted cohomology is discussed. |
0912.1021 | Hassan Firouzjahi | Ali Akbar Abolhasani, Hassan Firouzjahi, M. M. Sheikh-Jabbari | Tachyonic Resonance Preheating in Expanding Universe | This work is dedicated to the memory of Lev Kofman | Phys.Rev.D81:043524,2010 | 10.1103/PhysRevD.81.043524 | IPM/P-2009/052 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper the tachyonic resonance preheating generated from the bosonic
trilinear $\phi\chi^2$ interactions in an expanding Universe is studied. In
$\lambda\phi^4/4$ inflationary model the trilinear interaction, in contrast to
the four-legs $\phi^2\chi^2$, breaks the conformal symmetry explicitly and the
resonant source term becomes non-periodic, making the Floquet theorem
inapplicable. We find that the occupation number of the produced
$\chi$-particles has a non-linear exponential growth with exponent $\sim
x^{3/2}$, where $x$ is the conformal time. This should be contrasted with
preheating from a periodic resonant source, arising for example from the
four-legs $\phi^2\chi^2$ interaction, where the occupation number has a linear
exponential growth. We present an analytic method to compute the interference
term coming from phases accumulated in non-tachyonic scattering regions and
show that the effects of the interference term causes ripples on $x^{3/2}$
curve, a result which is confirmed by numerical analysis. Studying the effects
of back-reaction of the $\chi$-particles, we show that tachyonic resonance
preheating in our model can last long enough to transfer most of the energy
from the background inflation field $\phi$, providing an efficient model for
preheating in the chaotic inflation models.
| [
{
"created": "Sat, 5 Dec 2009 13:53:20 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Abolhasani",
"Ali Akbar",
""
],
[
"Firouzjahi",
"Hassan",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In this paper the tachyonic resonance preheating generated from the bosonic trilinear $\phi\chi^2$ interactions in an expanding Universe is studied. In $\lambda\phi^4/4$ inflationary model the trilinear interaction, in contrast to the four-legs $\phi^2\chi^2$, breaks the conformal symmetry explicitly and the resonant source term becomes non-periodic, making the Floquet theorem inapplicable. We find that the occupation number of the produced $\chi$-particles has a non-linear exponential growth with exponent $\sim x^{3/2}$, where $x$ is the conformal time. This should be contrasted with preheating from a periodic resonant source, arising for example from the four-legs $\phi^2\chi^2$ interaction, where the occupation number has a linear exponential growth. We present an analytic method to compute the interference term coming from phases accumulated in non-tachyonic scattering regions and show that the effects of the interference term causes ripples on $x^{3/2}$ curve, a result which is confirmed by numerical analysis. Studying the effects of back-reaction of the $\chi$-particles, we show that tachyonic resonance preheating in our model can last long enough to transfer most of the energy from the background inflation field $\phi$, providing an efficient model for preheating in the chaotic inflation models. |
1906.09228 | Davide Facoetti | Davide Facoetti, Giulio Biroli, Jorge Kurchan, David R. Reichman | Classical Glasses, Black Holes, and Strange Quantum Liquids | 26 pages, 7 figures | Phys. Rev. B 100, 205108 (2019) | 10.1103/PhysRevB.100.205108 | null | hep-th cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | From the dynamics of a broad class of classical mean-field glass models one
may obtain a quantum model with finite zero-temperature entropy, a quantum
transition at zero temperature, and a time-reparametrization (quasi-)invariance
in the dynamical equations for correlations. The low eigenvalue spectrum of the
resulting quantum model is directly related to the structure and exploration of
metastable states in the landscape of the original classical glass model. This
mapping reveals deep connections between classical glasses and the properties
of SYK-like models.
| [
{
"created": "Fri, 21 Jun 2019 16:30:32 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2019 15:16:34 GMT",
"version": "v2"
}
] | 2019-12-05 | [
[
"Facoetti",
"Davide",
""
],
[
"Biroli",
"Giulio",
""
],
[
"Kurchan",
"Jorge",
""
],
[
"Reichman",
"David R.",
""
]
] | From the dynamics of a broad class of classical mean-field glass models one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi-)invariance in the dynamical equations for correlations. The low eigenvalue spectrum of the resulting quantum model is directly related to the structure and exploration of metastable states in the landscape of the original classical glass model. This mapping reveals deep connections between classical glasses and the properties of SYK-like models. |
0803.3428 | Claudio Benedito Silva Furtado | K. Bakke, J. R. Nascimento and C. Furtado | Geometric Phase for Neutral Particle in the Presence of a Topological
Defect | 13 pages, no figures | Phys.Rev.D78:064012,2008 | 10.1103/PhysRevD.78.064012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the quantum dynamics of a neutral particle in the
presence of a topological defect. We investigate the appearance of a geometric
phase in the relativistic quantum dynamics of neutral particle which possesses
permanent magnetic and electric dipole moments in the presence of an
electromagnetic fields in this curved background. The nonrelativistic quantum
dynamics are investigated using the Foldy-Wouthuysen expansion. The
gravitational Aharonov-Casher and He-Mckellar-Wilkens effects are investigated
for a series of electric and magnetic fields configurations.
| [
{
"created": "Mon, 24 Mar 2008 16:45:11 GMT",
"version": "v1"
}
] | 2009-02-20 | [
[
"Bakke",
"K.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Furtado",
"C.",
""
]
] | In this paper we study the quantum dynamics of a neutral particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of neutral particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic fields in this curved background. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-Mckellar-Wilkens effects are investigated for a series of electric and magnetic fields configurations. |
2407.20321 | Sergio Hern\'andez-Cuenca | Sergio Hern\'andez-Cuenca | Entropy and Spectrum of Near-Extremal Black Holes: semiclassical brane
solutions to non-perturbative problems | 67+33 pages, 14 figures | null | null | MIT-CTP/5741 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The black hole entropy has been observed to generically turn negative at
exponentially low temperatures $T\sim e^{-S_0}$ in the extremal
Bekenstein-Hawking entropy $S_0$, a seeming pathology often attributed to
missing non-perturbative effects. In fact, we show that this negativity must
happen for any effective theory of quantum gravity with an ensemble
description. To do so, we identify the usual gravitational entropy as an
annealed entropy $S_a$, and prove that this quantity gives $S_0$ at extremality
if and only if the ground-state energy is protected by supersymmetry, and
diverges negatively otherwise. The actual thermodynamically-behaved quantity is
the average or quenched entropy $S_q$, whose calculation is poorly understood
in gravity: it involves replica wormholes in a regime where the topological
expansion breaks down. Using matrix integrals we find new instanton saddles
that dominate gravitational correlators at $T\sim e^{-S_0}$ and are dual to
semiclassical wormholes involving dynamical branes. These brane solutions give
the leading contribution to any black hole very near extremality, and a duality
with matrix ensembles would not make sense without them. In the non-BPS case,
they are required to make $S_q$ non-negative and also enhance the negativity of
$S_a$, both effects consistent with matrix integrals evaluated exactly. Our
instanton results are tested against the on-shell action of D3-branes dual to
multiply wrapped Wilson loops in $\mathcal{N}=4$ super-YM, and a precise match
is found. Our analysis of low-energy random matrix spectra also explains the
origin of spectral gaps in supersymmetric theories, not only when there are BPS
states at zero energy, but also for purely non-BPS supermultiplets. In the
former, our prediction for the gap in terms of the degeneracy of BPS states
agrees with the R-charge scaling in gapped multiplets of $\mathcal{N}=2$
super-JT gravity.
| [
{
"created": "Mon, 29 Jul 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-07-31 | [
[
"Hernández-Cuenca",
"Sergio",
""
]
] | The black hole entropy has been observed to generically turn negative at exponentially low temperatures $T\sim e^{-S_0}$ in the extremal Bekenstein-Hawking entropy $S_0$, a seeming pathology often attributed to missing non-perturbative effects. In fact, we show that this negativity must happen for any effective theory of quantum gravity with an ensemble description. To do so, we identify the usual gravitational entropy as an annealed entropy $S_a$, and prove that this quantity gives $S_0$ at extremality if and only if the ground-state energy is protected by supersymmetry, and diverges negatively otherwise. The actual thermodynamically-behaved quantity is the average or quenched entropy $S_q$, whose calculation is poorly understood in gravity: it involves replica wormholes in a regime where the topological expansion breaks down. Using matrix integrals we find new instanton saddles that dominate gravitational correlators at $T\sim e^{-S_0}$ and are dual to semiclassical wormholes involving dynamical branes. These brane solutions give the leading contribution to any black hole very near extremality, and a duality with matrix ensembles would not make sense without them. In the non-BPS case, they are required to make $S_q$ non-negative and also enhance the negativity of $S_a$, both effects consistent with matrix integrals evaluated exactly. Our instanton results are tested against the on-shell action of D3-branes dual to multiply wrapped Wilson loops in $\mathcal{N}=4$ super-YM, and a precise match is found. Our analysis of low-energy random matrix spectra also explains the origin of spectral gaps in supersymmetric theories, not only when there are BPS states at zero energy, but also for purely non-BPS supermultiplets. In the former, our prediction for the gap in terms of the degeneracy of BPS states agrees with the R-charge scaling in gapped multiplets of $\mathcal{N}=2$ super-JT gravity. |
hep-th/9504052 | Atsushi Nakayashiki | Atsushi Nakayashiki and Yasuhiko Yamada | Crystalizing the Spinon Basis | 25 pages, latex | Commun. Math. Phys. 178 (1996) 179 | 10.1007/BF02104914 | null | hep-th | null | The quasi-particle structure of the higher spin XXZ model is studied. We
obtained a new description of crystals associated with the level $k$ integrable
highest weight $U_q(\widehat{sl_2})$ modules in terms of the creation operators
at $q=0$ (the crystaline spinon basis). The fermionic character formulas and
the Yangian structure of those integrable modules naturally follow from this
description. We have also derived the conjectural formulas for the multi
quasi-particle states at $q=0$.
| [
{
"created": "Mon, 10 Apr 1995 08:33:27 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Nakayashiki",
"Atsushi",
""
],
[
"Yamada",
"Yasuhiko",
""
]
] | The quasi-particle structure of the higher spin XXZ model is studied. We obtained a new description of crystals associated with the level $k$ integrable highest weight $U_q(\widehat{sl_2})$ modules in terms of the creation operators at $q=0$ (the crystaline spinon basis). The fermionic character formulas and the Yangian structure of those integrable modules naturally follow from this description. We have also derived the conjectural formulas for the multi quasi-particle states at $q=0$. |
1907.13107 | Francisco A. Brito | M. A. Anacleto, F. A. Brito, J. A. V. Campos, E. Passos | Absorption and scattering of a noncommutative black hole | 10 pages, 7 figures. Version to appear in PLB. arXiv admin note: text
overlap with arXiv:1701.08147 | null | 10.1016/j.physletb.2020.135334 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we focus on the partial wave method with the aim of exploring
the scattering of massless scalar waves due to the noncommutative Schwarzschild
black hole via Lorentzian smeared mass distribution. We determine the phase
shift analytically in low-frequency limit and we show that the scattering and
absorption cross section is modified. Specially, we show that in the
low-frequency limit the scattering/absorption cross section has its value
decreased when we increase the value of the non-commutativity parameter. In
addition, we have confirmed this result by solving the problem numerically for
arbitrary frequencies. Such modifications found for the scattering and
absorption cross section present similarities with the Reissner-Nordstr\"{o}m
black hole.
| [
{
"created": "Mon, 29 Jul 2019 17:32:12 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Feb 2020 17:57:25 GMT",
"version": "v2"
}
] | 2020-03-04 | [
[
"Anacleto",
"M. A.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Campos",
"J. A. V.",
""
],
[
"Passos",
"E.",
""
]
] | In this paper we focus on the partial wave method with the aim of exploring the scattering of massless scalar waves due to the noncommutative Schwarzschild black hole via Lorentzian smeared mass distribution. We determine the phase shift analytically in low-frequency limit and we show that the scattering and absorption cross section is modified. Specially, we show that in the low-frequency limit the scattering/absorption cross section has its value decreased when we increase the value of the non-commutativity parameter. In addition, we have confirmed this result by solving the problem numerically for arbitrary frequencies. Such modifications found for the scattering and absorption cross section present similarities with the Reissner-Nordstr\"{o}m black hole. |
hep-th/0605217 | Mahmut Hortacsu | M. Hortacsu and F.Taskin | Another Model with Interacting Composites | 12 pages, published version | Int.J.Mod.Phys.A22:83-94,2007 | 10.1142/S0217751X0703412X | null | hep-th | null | We show that we can construct a model in 3+1 dimensions where it is necessary
that composite vector particles take place in physical processes as incoming
and outgoing particles . Cross-section of the processes in which only the
constituent spinors take place goes to zero. While the spinor-spinor scattering
goes to zero, the scattering of composites gives nontrivial results.
| [
{
"created": "Mon, 22 May 2006 08:16:34 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2007 13:30:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hortacsu",
"M.",
""
],
[
"Taskin",
"F.",
""
]
] | We show that we can construct a model in 3+1 dimensions where it is necessary that composite vector particles take place in physical processes as incoming and outgoing particles . Cross-section of the processes in which only the constituent spinors take place goes to zero. While the spinor-spinor scattering goes to zero, the scattering of composites gives nontrivial results. |
2112.05661 | Robert Penna | Robert F. Penna | The Geroch Group in One Dimension | 20 pages | null | null | null | hep-th gr-qc math.RT | http://creativecommons.org/licenses/by/4.0/ | We study the dimensional reduction of general relativity to a single null
spacetime dimension. The dimensionally reduced theory is a theory of six scalar
fields governed by three constraints. It has an infinite dimensional symmetry
which is an enhanced version of the Geroch group. To get a local action of the
symmetry on solution space, we need to introduce an infinite tower of new
fields and new constraints. The symmetry appears to be a hyperbolic Kac-Moody
algebra, with the caveat that some of the defining relations of the hyperbolic
Kac-Moody algebra are only checked ``order by order'' on the infinite tower of
new fields. This is a very mysterious Lie algebra with no known geometrical
interpretation. It is not even clear how to enumerate a basis. We explore this
problem using the action of the algebra on solution space and find an
intriguing connection to the representation theory of the symmetric group. The
symmetry described here might be related to the dynamics of gravity near
spacelike singularities.
| [
{
"created": "Fri, 10 Dec 2021 16:48:27 GMT",
"version": "v1"
}
] | 2021-12-13 | [
[
"Penna",
"Robert F.",
""
]
] | We study the dimensional reduction of general relativity to a single null spacetime dimension. The dimensionally reduced theory is a theory of six scalar fields governed by three constraints. It has an infinite dimensional symmetry which is an enhanced version of the Geroch group. To get a local action of the symmetry on solution space, we need to introduce an infinite tower of new fields and new constraints. The symmetry appears to be a hyperbolic Kac-Moody algebra, with the caveat that some of the defining relations of the hyperbolic Kac-Moody algebra are only checked ``order by order'' on the infinite tower of new fields. This is a very mysterious Lie algebra with no known geometrical interpretation. It is not even clear how to enumerate a basis. We explore this problem using the action of the algebra on solution space and find an intriguing connection to the representation theory of the symmetric group. The symmetry described here might be related to the dynamics of gravity near spacelike singularities. |
hep-th/9301106 | E. Elizalde | E. Elizalde, S. Naftulin and S.D. Odintsov | Convenient Versus Unique Effective Action Formalism in 2D
Dilaton-Maxwell Quantum Gravity | 25 pages, LaTeX file, HUPD-93-03 | Z.Phys.C60:327-336,1993 | 10.1007/BF01474630 | null | hep-th | null | The structure of one-loop divergences of two-dimensional dilaton-Maxwell
quantum gravity is investigated in two formalisms: one using a convenient
effective action and the other a unique effective action. The one-loop
divergences (including surface divergences) of the convenient effective action
are calculated in three different covariant gauges: (i) De Witt, (ii)
$\Omega$-degenerate De Witt, and (iii) simplest covariant. The on-shell
effective action is given by surface divergences only (finiteness of the
$S$-matrix), which yet depend upon the gauge condition choice.
Off-shell renormalizability is discussed and classes of renormalizable
dilaton and Maxwell potentials are found which coincide in the cases of
convenient and unique effective actions. A detailed comparison of both
situations, i.e. convenient vs. unique effective action, is given. As an
extension of the procedure, the one-loop effective action in two-dimensional
dilaton-Yang-Mills gravity is calculated.
| [
{
"created": "Tue, 26 Jan 1993 09:50:31 GMT",
"version": "v1"
}
] | 2010-05-07 | [
[
"Elizalde",
"E.",
""
],
[
"Naftulin",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including surface divergences) of the convenient effective action are calculated in three different covariant gauges: (i) De Witt, (ii) $\Omega$-degenerate De Witt, and (iii) simplest covariant. The on-shell effective action is given by surface divergences only (finiteness of the $S$-matrix), which yet depend upon the gauge condition choice. Off-shell renormalizability is discussed and classes of renormalizable dilaton and Maxwell potentials are found which coincide in the cases of convenient and unique effective actions. A detailed comparison of both situations, i.e. convenient vs. unique effective action, is given. As an extension of the procedure, the one-loop effective action in two-dimensional dilaton-Yang-Mills gravity is calculated. |
hep-th/9703136 | Robbert Dijkgraaf | R. Dijkgraaf | Les Houches Lectures on Fields, Strings and Duality | 152 pages, 31 epsf figures, latex | null | null | null | hep-th | null | Notes of my 14 `lectures on everything' given at the 1995 Les Houches school.
An introductory course in topological and conformal field theory, strings,
gauge fields, supersymmetry and more. The presentation is more mathematical
then usual and takes a modern point of view stressing moduli spaces, duality
and the interconnectedness of the subject. An apocryphal lecture on BPS states
and D-branes is added.
| [
{
"created": "Wed, 19 Mar 1997 15:28:52 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Dijkgraaf",
"R.",
""
]
] | Notes of my 14 `lectures on everything' given at the 1995 Les Houches school. An introductory course in topological and conformal field theory, strings, gauge fields, supersymmetry and more. The presentation is more mathematical then usual and takes a modern point of view stressing moduli spaces, duality and the interconnectedness of the subject. An apocryphal lecture on BPS states and D-branes is added. |
hep-th/0203029 | Ali Tayefeh Rezakhani | M.R. Setare | Casimir stress for cylindrical shell in de-Sitter space | 7 pages, no figures, LaTex | Gen.Rel.Grav. 36 (2004) 1965-1975 | 10.1023/B:GERG.0000036054.14902.a6 | null | hep-th | null | The Casimir stress on cylinderical shell in de Sitter background for massless
scalar field satisfying Dirichlet boundary conditions on the cylinder is
calculated. The metric is written in conformally flat form to make maximum use
of the Minkowski space calculations. Different cosmological constants are
assumed for the space inside and outside the cylinder to have general results
applicable to the case of cylindrical domain wall formations in the early
universe.
| [
{
"created": "Mon, 4 Mar 2002 15:56:55 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Setare",
"M. R.",
""
]
] | The Casimir stress on cylinderical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the cylinder is calculated. The metric is written in conformally flat form to make maximum use of the Minkowski space calculations. Different cosmological constants are assumed for the space inside and outside the cylinder to have general results applicable to the case of cylindrical domain wall formations in the early universe. |
1101.1314 | Michael Kroyter | Michael Kroyter | Democratic Superstring Field Theory and its Gauge Fixing | 10 pages. A contribution to the proceedings of "SFT2010", held at the
YITP, Kyoto, Japan, October 18-22, 2010 | Prog.Theor.Phys.Suppl.188:244-253,2011 | 10.1143/PTPS.188.244 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work is my contribution to the proceedings of the conference "SFT2010 -
the third international conference on string field theory and related topics"
and it reflects my talk there, which described the democratic string field
theory and its gauge fixing.
The democratic string field theory is the only fully RNS string field theory
to date. It lives in the large Hilbert space and includes all picture numbers.
Picture changing amounts in this formalism to a gauge transformation. We
describe the theory and its properties and show that when partially gauge fixed
it can be reduced to the modified theory and to the non-polynomial theory. In
the latter case we can even include the Ramond sector in the picture-fixed
action. We also show that another partial gauge-fixing leads to a new
consistent string field theory at picture number -1.
| [
{
"created": "Thu, 6 Jan 2011 21:31:12 GMT",
"version": "v1"
}
] | 2011-05-27 | [
[
"Kroyter",
"Michael",
""
]
] | This work is my contribution to the proceedings of the conference "SFT2010 - the third international conference on string field theory and related topics" and it reflects my talk there, which described the democratic string field theory and its gauge fixing. The democratic string field theory is the only fully RNS string field theory to date. It lives in the large Hilbert space and includes all picture numbers. Picture changing amounts in this formalism to a gauge transformation. We describe the theory and its properties and show that when partially gauge fixed it can be reduced to the modified theory and to the non-polynomial theory. In the latter case we can even include the Ramond sector in the picture-fixed action. We also show that another partial gauge-fixing leads to a new consistent string field theory at picture number -1. |
0906.2898 | Antonino Flachi | Antonino Flachi and Takahiro Tanaka | Casimir Effect on the brane | 9 pages, 3 figures; version to appear in Phys. Rev. D Abstract
shortened in the arXive entry | Phys.Rev.D80:124022,2009 | 10.1103/PhysRevD.80.124022 | YITP-09-28 | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Casimir effect between two parallel plates localized on a
brane. In order to properly compute the contribution to the Casimir energy due
to any higher dimensional field, it is necessary to take into account the
localization properties of the KK modes. When no massless mode appears in the
spectrum, the correction to the Casimir energy is exponentially suppressed.
When a massless mode is present in the spectrum, the correction to the Casimir
energy can be, in principle, sizeable. Here we illustrate a new method to
compute the correction to the Casimir energy between two parallel plates,
localized on a brane. The Casimir energy is suppressed by two factors: at
lowest order in $\varepsilon$, the correction comes entirely from the massive
mode and turns out to be exponentially suppressed; the next-to-leading order
correction in $\varepsilon$ follows, instead, a power-law suppression due to
the small wave function overlap of the zero-mode with matter confined on the
visible brane. Generic comments on the constraints on new physics that may
arise from Casimir force experiments are also made.
| [
{
"created": "Tue, 16 Jun 2009 13:01:07 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Nov 2009 05:35:02 GMT",
"version": "v2"
}
] | 2009-12-30 | [
[
"Flachi",
"Antonino",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | We consider the Casimir effect between two parallel plates localized on a brane. In order to properly compute the contribution to the Casimir energy due to any higher dimensional field, it is necessary to take into account the localization properties of the KK modes. When no massless mode appears in the spectrum, the correction to the Casimir energy is exponentially suppressed. When a massless mode is present in the spectrum, the correction to the Casimir energy can be, in principle, sizeable. Here we illustrate a new method to compute the correction to the Casimir energy between two parallel plates, localized on a brane. The Casimir energy is suppressed by two factors: at lowest order in $\varepsilon$, the correction comes entirely from the massive mode and turns out to be exponentially suppressed; the next-to-leading order correction in $\varepsilon$ follows, instead, a power-law suppression due to the small wave function overlap of the zero-mode with matter confined on the visible brane. Generic comments on the constraints on new physics that may arise from Casimir force experiments are also made. |
0801.4478 | Elias C. Vagenas | M. R. Setare, Elias C. Vagenas | Thermodynamical Interpretation of the Interacting Holographic Dark
Energy Model in a non-flat Universe | 12 pages, no figure, LaTeX; v2: 13 pages now, comments and
clarifications added, to appear in Phys. Lett. B | Phys.Lett.B666:111-115,2008 | 10.1016/j.physletb.2008.07.013 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the recent work of Wang, Lin, Pavon, and Abdalla [1], we
generalize their work to the non-flat case. In particular, we provide a
thermodynamical interpretation for the holographic dark energy model in a
non-flat universe. For this case, the characteristic length is no more the
radius of the event horizon (R_E) but the event horizon radius as measured from
the sphere of the horizon (L). Furthermore, when interaction between the dark
components of the holographic dark energy model in the non-flat universe is
present its thermodynamical interpretation changes by a stable thermal
fluctuation. A relation between the interaction term of the dark components and
this thermal fluctuation is obtained. In the limiting case of a flat universe,
i.e. k=0, all results given in [1] are obtained.
| [
{
"created": "Tue, 29 Jan 2008 12:11:21 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jul 2008 17:41:51 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Setare",
"M. R.",
""
],
[
"Vagenas",
"Elias C.",
""
]
] | Motivated by the recent work of Wang, Lin, Pavon, and Abdalla [1], we generalize their work to the non-flat case. In particular, we provide a thermodynamical interpretation for the holographic dark energy model in a non-flat universe. For this case, the characteristic length is no more the radius of the event horizon (R_E) but the event horizon radius as measured from the sphere of the horizon (L). Furthermore, when interaction between the dark components of the holographic dark energy model in the non-flat universe is present its thermodynamical interpretation changes by a stable thermal fluctuation. A relation between the interaction term of the dark components and this thermal fluctuation is obtained. In the limiting case of a flat universe, i.e. k=0, all results given in [1] are obtained. |
2205.15798 | Naoyuki Kanomata | Naoyuki Kanomata and Akifumi Sako | Exact solution of the $\Phi_{2}^{3}$ finite matrix model | 19 pages, no figure, Some mistakes are revised in it | null | 10.1016/j.nuclphysb.2022.115892 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the exact solutions of the $\Phi_{2}^{3}$ finite matrix model
(Grosse-Wulkenhaar model). In the $\Phi_{2}^{3}$ finite matrix model,
multipoint correlation functions are expressed as $G_{|a_{1}^{1}\ldots
a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$. The $\displaystyle
\sum_{i=1}^{B}N_{i}$-point function denoted by $G_{|a_{1}^{1}\ldots
a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$ is given by the sum over
all Feynman diagrams (ribbon graphs) on Riemann surfaces with $B$-boundaries,
and each $|a^{i}_{1}\cdots a^{i}_{N_{i}}|$ corresponds to the Feynman diagrams
having $N_{i}$-external lines from the $i$-th boundary. It is known that any
$G_{|a_{1}^{1}\ldots a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$ can
be expressed using $G_{|a^{1}|\ldots|a^{n}|}$ type $n$-point functions. Thus we
focus on rigorous calculations of $G_{|a^{1}|\ldots|a^{n}|}$. The formula for
$G_{|a^{1}|\ldots|a^{n}|}$ is obtained, and it is achieved by using the
partition function $\mathcal{Z}[J]$ calculated by the
Harish-Chandra-Itzykson-Zuber integral. We give $G_{|a|}$, $G_{|ab|}$,
$G_{|a|b|}$, and $G_{|a|b|c|}$ as the specific simple examples. All of them are
described by using the Airy functions.
| [
{
"created": "Tue, 31 May 2022 13:59:31 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jun 2022 03:36:01 GMT",
"version": "v2"
}
] | 2022-07-20 | [
[
"Kanomata",
"Naoyuki",
""
],
[
"Sako",
"Akifumi",
""
]
] | We find the exact solutions of the $\Phi_{2}^{3}$ finite matrix model (Grosse-Wulkenhaar model). In the $\Phi_{2}^{3}$ finite matrix model, multipoint correlation functions are expressed as $G_{|a_{1}^{1}\ldots a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$. The $\displaystyle \sum_{i=1}^{B}N_{i}$-point function denoted by $G_{|a_{1}^{1}\ldots a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$ is given by the sum over all Feynman diagrams (ribbon graphs) on Riemann surfaces with $B$-boundaries, and each $|a^{i}_{1}\cdots a^{i}_{N_{i}}|$ corresponds to the Feynman diagrams having $N_{i}$-external lines from the $i$-th boundary. It is known that any $G_{|a_{1}^{1}\ldots a_{N_{1}}^{1}|\ldots|a_{1}^{B}\ldots a_{N_{B}}^{B}|}$ can be expressed using $G_{|a^{1}|\ldots|a^{n}|}$ type $n$-point functions. Thus we focus on rigorous calculations of $G_{|a^{1}|\ldots|a^{n}|}$. The formula for $G_{|a^{1}|\ldots|a^{n}|}$ is obtained, and it is achieved by using the partition function $\mathcal{Z}[J]$ calculated by the Harish-Chandra-Itzykson-Zuber integral. We give $G_{|a|}$, $G_{|ab|}$, $G_{|a|b|}$, and $G_{|a|b|c|}$ as the specific simple examples. All of them are described by using the Airy functions. |
0908.3461 | Hugo Garcia-Compean | Hugo Garcia-Compean, Aldo A. Martinez-Merino | On the Moyal deformation of Nahm Equations in seven dimensions | 16+1 pages, LaTeX, no figures | J.Math.Phys.50:113504,2009 | 10.1063/1.3254325 | Cinvestav-Fis-57-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the reduced (anti-)self-dual Yang-Mills equations in seven
dimensions described by the Nahm equations can be carried over to the
Weyl-Wigner-Moyal formalism. In the process some new solutions for the cases of
gauge groups SU(2) and SL(2,R) are explicitly obtained.
| [
{
"created": "Mon, 24 Aug 2009 16:11:21 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Garcia-Compean",
"Hugo",
""
],
[
"Martinez-Merino",
"Aldo A.",
""
]
] | We show how the reduced (anti-)self-dual Yang-Mills equations in seven dimensions described by the Nahm equations can be carried over to the Weyl-Wigner-Moyal formalism. In the process some new solutions for the cases of gauge groups SU(2) and SL(2,R) are explicitly obtained. |
hep-th/0605289 | Ahmed Jellal | Mohammed Daoud, Ahmed Jellal | Effective Wess-Zumino-Witten Action for Edge States of Quantum Hall
Systems on Bergman Ball | 19 pages, clarifications and some equations removed, version
published in NPB | Nucl.Phys.B764:109-127,2007 | 10.1016/j.nuclphysb.2006.11.032 | null | hep-th cond-mat.mes-hall | null | Using a group theory approach, we investigate the basic features of the
Landau problem on the Bergman ball {\bf B}^k. This can be done by considering a
system of particles living on {\bf B}^k in the presence of an uniform magnetic
field B and realizing the ball as the coset space SU(k,1)/U(k). In quantizing
the theory on {\bf{B}}^k, we define the wavefunctions as the Wigner
\cal{D}-functions satisfying a set of suitable constraints. The corresponding
Hamiltonian is mapped in terms of the right translation generators. In the
lowest Landau level, we obtain the wavefunctions as the SU(k,1) coherent
states. This are used to define the star product, density matrix and excitation
potential in higher dimensions. With these ingredients, we construct a
generalized effective Wess-Zumino-Witten action for the edge states and discuss
their nature.
| [
{
"created": "Tue, 30 May 2006 19:37:23 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Apr 2007 12:05:09 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Daoud",
"Mohammed",
""
],
[
"Jellal",
"Ahmed",
""
]
] | Using a group theory approach, we investigate the basic features of the Landau problem on the Bergman ball {\bf B}^k. This can be done by considering a system of particles living on {\bf B}^k in the presence of an uniform magnetic field B and realizing the ball as the coset space SU(k,1)/U(k). In quantizing the theory on {\bf{B}}^k, we define the wavefunctions as the Wigner \cal{D}-functions satisfying a set of suitable constraints. The corresponding Hamiltonian is mapped in terms of the right translation generators. In the lowest Landau level, we obtain the wavefunctions as the SU(k,1) coherent states. This are used to define the star product, density matrix and excitation potential in higher dimensions. With these ingredients, we construct a generalized effective Wess-Zumino-Witten action for the edge states and discuss their nature. |
hep-th/9309015 | null | B. Sathiapalan | Proper Time Formalism and Gauge Invariance in Open String Interactions | 19 pages | Mod.Phys.Lett.A9:1681-1694,1994 | 10.1142/S0217732394001520 | null | hep-th | null | The issue of gauge invariances in the sigma model formalism is discussed at
the free and interacting level. The problem of deriving gauge invariant
interacting equations can be addressed using the proper time formalism. This
formalism is discussed, both for point particles and strings. The covariant
Klein Gordon equation arises in a geometric way from the boundary terms. This
formalism is similar to the background independent open string formalism
introduced by Witten.
| [
{
"created": "Thu, 2 Sep 1993 15:21:00 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Sathiapalan",
"B.",
""
]
] | The issue of gauge invariances in the sigma model formalism is discussed at the free and interacting level. The problem of deriving gauge invariant interacting equations can be addressed using the proper time formalism. This formalism is discussed, both for point particles and strings. The covariant Klein Gordon equation arises in a geometric way from the boundary terms. This formalism is similar to the background independent open string formalism introduced by Witten. |
hep-th/0101198 | Roberto Emparan | Christos Charmousis, Roberto Emparan, Ruth Gregory | Self-gravity of Brane Worlds: A New Hierarchy Twist | 22 pages, 2 figures. v2: comments added on (a) the generality of the
effect described; (b) the possibility of generating a large tension/thickness
ratio by stacking branes | JHEP 0105:026,2001 | 10.1088/1126-6708/2001/05/026 | DCTP/01/01, EHU-FT/0012 | hep-th gr-qc hep-ph | null | We examine the inclusion of brane self-gravity in brane-world scenarios with
three or more compact extra dimensions. If the brane is a thin, localized one,
then we find that the geometry in its vicinity is warped in such a way that
gravity on the brane can become very weak, independently of the volume of the
extra dimensions. As a consequence, self-gravity can make the brane structure
enter into the determination of the hierarchy between the Planck scale and a
lower fundamental scale. In an extreme case, one can obtain a novel
reformulation of the hierarchy problem in brane worlds, without the need for
large-size extra dimensions; the hierarchy would be generated when the ratio
between the scales of brane tension and brane thickness is large. In a sense,
such a scenario is half-way between the one of Arkani-Hamed et al.(ADD)
(although with TeV-mass Kaluza-Klein states) and that of Randall and Sundrum
(RS1) (but with only a TeV brane, and of positive tension). We discuss in
detail the propagation of fields in the background of this geometry, and find
that no problems appear even if the brane is taken to be very thin. We also
discuss the presence of black branes and black holes in this setting, and the
possibility of having a Planck brane.
| [
{
"created": "Mon, 29 Jan 2001 16:12:45 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2001 15:23:30 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Charmousis",
"Christos",
""
],
[
"Emparan",
"Roberto",
""
],
[
"Gregory",
"Ruth",
""
]
] | We examine the inclusion of brane self-gravity in brane-world scenarios with three or more compact extra dimensions. If the brane is a thin, localized one, then we find that the geometry in its vicinity is warped in such a way that gravity on the brane can become very weak, independently of the volume of the extra dimensions. As a consequence, self-gravity can make the brane structure enter into the determination of the hierarchy between the Planck scale and a lower fundamental scale. In an extreme case, one can obtain a novel reformulation of the hierarchy problem in brane worlds, without the need for large-size extra dimensions; the hierarchy would be generated when the ratio between the scales of brane tension and brane thickness is large. In a sense, such a scenario is half-way between the one of Arkani-Hamed et al.(ADD) (although with TeV-mass Kaluza-Klein states) and that of Randall and Sundrum (RS1) (but with only a TeV brane, and of positive tension). We discuss in detail the propagation of fields in the background of this geometry, and find that no problems appear even if the brane is taken to be very thin. We also discuss the presence of black branes and black holes in this setting, and the possibility of having a Planck brane. |
hep-th/9809036 | Koh-ichi Nittoh | K. Nittoh and T. Ebihara | Regularization Ambiguity Problem for the Chern-Simons Shift | 7 pages, 1 figure, latex 2e, will appear at Mod. Phys. Lett. A | Mod.Phys.Lett. A13 (1998) 2231-2237 | 10.1142/S0217732398002382 | CHIBA-EP-86 | hep-th | null | We consider the Chern-Simons parameter shift with the hybrid regularization
consisting of the higher covariant derivative (HCD) and the Pauli-Villars (PV)
regulators. We show that the shift is closely related to the parity of the
regulators and get the shift and no-shift results by a suitable choice of the
PV regulators. A naive treatment of the HCD term leads incorrect value of the
shift.
| [
{
"created": "Sat, 5 Sep 1998 04:20:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Nittoh",
"K.",
""
],
[
"Ebihara",
"T.",
""
]
] | We consider the Chern-Simons parameter shift with the hybrid regularization consisting of the higher covariant derivative (HCD) and the Pauli-Villars (PV) regulators. We show that the shift is closely related to the parity of the regulators and get the shift and no-shift results by a suitable choice of the PV regulators. A naive treatment of the HCD term leads incorrect value of the shift. |
1004.5385 | Thomas S. Levi | Joshua L. Davis, Thomas S. Levi, Mark Van Raamsdonk and Kevin R.L.
Whyte | Twisted Inflation | 31 pages + Appendices, 4 figures | JCAP 1009:032,2010 | 10.1088/1475-7516/2010/09/032 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new mechanism for slow-roll inflation based on higher
dimensional supersymmetric gauge theory compactified to four dimensions with
twisted (supersymmetry breaking) boundary conditions. These boundary conditions
lead to a potential for directions in field space that would have been flat
were supersymmetry preserved. For field values in these directions much larger
than the supersymmetry-breaking scale, the flatness of the potential is nearly
restored. Starting in this nearly flat region, inflation can occur as the
theory relaxes towards the origin of field space. Near the origin, the
potential becomes steep and the theory quickly descends to a confining gauge
theory in which the inflaton does not exist as a particle. This confining gauge
theory could be part of the Standard Model (QCD) or a natural dark matter
sector; we comment on various scenarios for reheating. As a specific
illustration of this mechanism, we discuss 4+1 dimensional maximally
supersymmetric gauge theory on a circle with antiperiodic boundary conditions
for fermions. When the theory is weakly coupled at the compactification scale,
we calculate the inflaton potential directly in field theory by integrating out
the heavy W-bosons and their superpartners. At strong coupling the model can be
studied using a gravity dual, which realizes a new model of brane inflation on
a non-supersymmetric throat geometry. Assuming there exists a UV completion
that avoids the eta-problem, predictions from our model are consistent with
present observations, and imply a small tensor-to-scalar ratio.
| [
{
"created": "Thu, 29 Apr 2010 20:10:32 GMT",
"version": "v1"
}
] | 2011-01-27 | [
[
"Davis",
"Joshua L.",
""
],
[
"Levi",
"Thomas S.",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Whyte",
"Kevin R. L.",
""
]
] | We present a new mechanism for slow-roll inflation based on higher dimensional supersymmetric gauge theory compactified to four dimensions with twisted (supersymmetry breaking) boundary conditions. These boundary conditions lead to a potential for directions in field space that would have been flat were supersymmetry preserved. For field values in these directions much larger than the supersymmetry-breaking scale, the flatness of the potential is nearly restored. Starting in this nearly flat region, inflation can occur as the theory relaxes towards the origin of field space. Near the origin, the potential becomes steep and the theory quickly descends to a confining gauge theory in which the inflaton does not exist as a particle. This confining gauge theory could be part of the Standard Model (QCD) or a natural dark matter sector; we comment on various scenarios for reheating. As a specific illustration of this mechanism, we discuss 4+1 dimensional maximally supersymmetric gauge theory on a circle with antiperiodic boundary conditions for fermions. When the theory is weakly coupled at the compactification scale, we calculate the inflaton potential directly in field theory by integrating out the heavy W-bosons and their superpartners. At strong coupling the model can be studied using a gravity dual, which realizes a new model of brane inflation on a non-supersymmetric throat geometry. Assuming there exists a UV completion that avoids the eta-problem, predictions from our model are consistent with present observations, and imply a small tensor-to-scalar ratio. |
2104.12180 | Yiwen Pan | Yiwen Pan, Yufan Wang, Haocong Zheng | Defects, modular differential equations, and free field realization of N
= 4 VOAs | null | null | 10.1103/PhysRevD.105.085005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For all 4d $\mathcal{N} = 4$ SYM theories with simple gauge groups $G$, we
show that the residues of the integrands in the $\mathcal{N} = 4$ Schur
indices, which are related to Gukov-Witten type surface defects in the
theories, equal the vacuum characters of rank$G$ copies of $bc \beta \gamma$
systems that provide the free field realization of associated $\mathcal{N} = 4$
VOAs. This result predicts that these residues, as module characters, are
additional solutions to the flavored modular differential equations satisfied
by the original Schur index. The prediction is verified in the $G = SU(2)$
case, where an additional logarithmic solution is constructed.
| [
{
"created": "Sun, 25 Apr 2021 15:13:58 GMT",
"version": "v1"
}
] | 2022-04-20 | [
[
"Pan",
"Yiwen",
""
],
[
"Wang",
"Yufan",
""
],
[
"Zheng",
"Haocong",
""
]
] | For all 4d $\mathcal{N} = 4$ SYM theories with simple gauge groups $G$, we show that the residues of the integrands in the $\mathcal{N} = 4$ Schur indices, which are related to Gukov-Witten type surface defects in the theories, equal the vacuum characters of rank$G$ copies of $bc \beta \gamma$ systems that provide the free field realization of associated $\mathcal{N} = 4$ VOAs. This result predicts that these residues, as module characters, are additional solutions to the flavored modular differential equations satisfied by the original Schur index. The prediction is verified in the $G = SU(2)$ case, where an additional logarithmic solution is constructed. |
hep-th/0012093 | Nissan Itzhaki | Akikazu Hashimoto and N. Itzhaki | Traveling Faster than the Speed of Light in Non-Commutative Geometry | 16 pages 3 figures, references added | Phys.Rev. D63 (2001) 126004 | 10.1103/PhysRevD.63.126004 | IASSNS-HEP-00/85 | hep-th hep-ph | null | We study various dynamical aspects of solitons in non-commutative gauge
theories and find surprising results. Among them is the observation that the
solitons can travel faster than the speed of light for arbitrarily long
distances.
| [
{
"created": "Mon, 11 Dec 2000 18:04:51 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2000 20:15:55 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hashimoto",
"Akikazu",
""
],
[
"Itzhaki",
"N.",
""
]
] | We study various dynamical aspects of solitons in non-commutative gauge theories and find surprising results. Among them is the observation that the solitons can travel faster than the speed of light for arbitrarily long distances. |
hep-th/0301081 | George Siopsis | Suphot Musiri, George Siopsis | Quasinormal modes of large AdS black holes | 10 pages, incl. 1 table | Phys.Lett. B563 (2003) 102-106 | 10.1016/S0370-2693(03)00612-9 | UTHET-02-1001 | hep-th | null | We develop a perturbative approach to the solution of the scalar wave
equation for a large AdS black hole. In three dimensions, our method coincides
with the known exact solution. We discuss the five-dimensional case in detail
and apply our procedure to the Heun equation. We calculate the quasi-normal
modes analytically and obtain good agreement with numerical results for the
low-lying frequencies.
| [
{
"created": "Mon, 13 Jan 2003 22:38:11 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Musiri",
"Suphot",
""
],
[
"Siopsis",
"George",
""
]
] | We develop a perturbative approach to the solution of the scalar wave equation for a large AdS black hole. In three dimensions, our method coincides with the known exact solution. We discuss the five-dimensional case in detail and apply our procedure to the Heun equation. We calculate the quasi-normal modes analytically and obtain good agreement with numerical results for the low-lying frequencies. |
1706.07161 | Noriaki Kitazawa | Noriaki Kitazawa | On D-brane dynamics and moduli stabilization | 12 pages, 3 figures | null | 10.1142/S0217732317501504 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the effect of the dynamics of D-branes on moduli stabilization in
type IIB string theory compactifications, with reference to a concrete toy
model of T6/Z3 orientifold compactification with fractional D3-branes and
anti-D3-branes at orbifold fixed points. The resulting attractive forces
between anti-D3-branes and D3-branes, together with the repulsive forces
between anti-D3-branes and O3-planes, can affect the stability of the compact
space. There are no complex structure moduli in T6/Z3 orientifold, which should
thus capture some generic features of more general settings where all complex
structure moduli are stabilized by three-form fluxes. The simultaneous presence
of branes and anti-branes brings along the breaking of supersymmetry. Non-BPS
combinations of this type are typical of "brane supersymmetry breaking", and
are a necessary ingredient in the KKLT scenario for stabilizing the remaining
Kahler moduli. The conclusion of our analysis is that, while mutual D-brane
interactions sometimes help Kahler moduli stabilization, this is not always the
case.
| [
{
"created": "Thu, 22 Jun 2017 04:06:14 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jul 2017 02:37:43 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Aug 2017 09:01:36 GMT",
"version": "v3"
}
] | 2017-10-11 | [
[
"Kitazawa",
"Noriaki",
""
]
] | We discuss the effect of the dynamics of D-branes on moduli stabilization in type IIB string theory compactifications, with reference to a concrete toy model of T6/Z3 orientifold compactification with fractional D3-branes and anti-D3-branes at orbifold fixed points. The resulting attractive forces between anti-D3-branes and D3-branes, together with the repulsive forces between anti-D3-branes and O3-planes, can affect the stability of the compact space. There are no complex structure moduli in T6/Z3 orientifold, which should thus capture some generic features of more general settings where all complex structure moduli are stabilized by three-form fluxes. The simultaneous presence of branes and anti-branes brings along the breaking of supersymmetry. Non-BPS combinations of this type are typical of "brane supersymmetry breaking", and are a necessary ingredient in the KKLT scenario for stabilizing the remaining Kahler moduli. The conclusion of our analysis is that, while mutual D-brane interactions sometimes help Kahler moduli stabilization, this is not always the case. |
hep-th/9907203 | Alex Buchel | Alex Buchel, Gary Shiu and S.-H. Henry Tye | Anomaly Cancelations in Orientifolds with Quantized B Flux | Revtex 3.0, 34 pages, 2 figures, references added | Nucl.Phys. B569 (2000) 329-361 | 10.1016/S0550-3213(99)00647-1 | CLNS-99/1627, ITP-SB-99-37 | hep-th hep-ph | null | We consider anomaly cancelations in Type IIB orientifolds on T^4/Z_N with
quantized NS-NS sector background B-flux. For a rank b B-flux on T^4 (b is
always even) and when N is even, the cancelation requires a 2^{b/2}
multiplicity of states in the 59-open string sector. We identify the twisted
sector R-R scalars and tensor multiplets which are involved in the
Green-Schwarz mechanism. We give more details of the construction of these
models and argue that consistency with the 2^{b/2} multiplicity of 59-sector
states requires a modification of the relation between the open string 1-loop
channel modulus and the closed string tree channel modulus in the 59-cylinder
amplitudes.
| [
{
"created": "Tue, 27 Jul 1999 22:01:18 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 1999 04:39:19 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Buchel",
"Alex",
""
],
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | We consider anomaly cancelations in Type IIB orientifolds on T^4/Z_N with quantized NS-NS sector background B-flux. For a rank b B-flux on T^4 (b is always even) and when N is even, the cancelation requires a 2^{b/2} multiplicity of states in the 59-open string sector. We identify the twisted sector R-R scalars and tensor multiplets which are involved in the Green-Schwarz mechanism. We give more details of the construction of these models and argue that consistency with the 2^{b/2} multiplicity of 59-sector states requires a modification of the relation between the open string 1-loop channel modulus and the closed string tree channel modulus in the 59-cylinder amplitudes. |
1304.7304 | Stephan Stieberger | Johannes Broedel, Oliver Schlotterer, Stephan Stieberger, Tomohide
Terasoma | All order alpha'-expansion of superstring trees from the Drinfeld
associator | 6 pages, LaTeX; v2: Final version to appear in PRD | Phys. Rev. D 89, 066014 (2014) | 10.1103/PhysRevD.89.066014 | DAMTP-2013-23, AEI-2013-195, MPP-2013-120 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a recursive formula for the alpha'-expansion of superstring tree
amplitudes involving any number N of massless open string states. String
corrections to Yang-Mills field theory are shown to enter through the Drinfeld
associator, a generating series for multiple zeta values. Our results apply for
any number of spacetime dimensions or supersymmetries and chosen helicity
configurations.
| [
{
"created": "Fri, 26 Apr 2013 22:58:33 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Feb 2014 11:06:02 GMT",
"version": "v2"
}
] | 2014-04-02 | [
[
"Broedel",
"Johannes",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Stieberger",
"Stephan",
""
],
[
"Terasoma",
"Tomohide",
""
]
] | We derive a recursive formula for the alpha'-expansion of superstring tree amplitudes involving any number N of massless open string states. String corrections to Yang-Mills field theory are shown to enter through the Drinfeld associator, a generating series for multiple zeta values. Our results apply for any number of spacetime dimensions or supersymmetries and chosen helicity configurations. |
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