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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1911.00925 | Jacob Leedom | Jacob M. Leedom | Constraints on Dark Energy from Inflation and the Swampland Conjectures | 7 Pages, contribution to proceedings for Rencontres du Vietnam
"Cosmology", August 2019 v2: Added References | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the prospects of measuring deviations of the dark energy equation
of state from w=-1 by using the swampland conjectures to relate inflationary
models to quintessence scenarios. This note is based on work done by the author
with H. Murayama and C. Chiang arXiv:1811.01987.
| [
{
"created": "Sun, 3 Nov 2019 16:24:00 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Feb 2021 16:27:36 GMT",
"version": "v2"
}
] | 2021-02-02 | [
[
"Leedom",
"Jacob M.",
""
]
] | We discuss the prospects of measuring deviations of the dark energy equation of state from w=-1 by using the swampland conjectures to relate inflationary models to quintessence scenarios. This note is based on work done by the author with H. Murayama and C. Chiang arXiv:1811.01987. |
hep-th/9508003 | Edwin Langmann | Edwin Langmann (Theoretical Physics, KTH, Stockholm) | Descent equations of Yang--Mills anomalies in noncommutative geometry | 20 pages, latex, no figures (A few minor errors corrected) | J.Geom.Phys. 22 (1997) 259-279 | 10.1016/S0393-0440(96)00039-3 | null | hep-th | null | Consistent Yang--Mills anomalies $\int\om_{2n-k}^{k-1}$ ($n\in\N$, $ k=1,2,
\ldots ,2n$) as described collectively by Zumino's descent equations
$\delta\om_{2n-k}^{k-1}+\dd\om_{2n-k-1}^{k}=0$ starting with the Chern
character $Ch_{2n}=\dd\om_{2n-1}^{0}$ of a principal $\SU(N)$ bundle over a
$2n$ dimensional manifold are considered (i.e.\ $\int\om_{2n-k}^{k-1}$ are the
Chern--Simons terms ($k=1$), axial anomalies ($k=2$), Schwinger terms ($k=3$)
etc.\ in $(2n-k)$ dimensions). A generalization in the spirit of Connes'
noncommutative geometry using a minimum of data is found. For an arbitrary
graded differential algebra $\CC=\bigoplus_{k=0}^\infty \CC^{(k)}$ with
exterior differentiation $\dd$, form valued functions $Ch_{2n}: \CC^{(1)}\to
\CC^{(2n)}$ and $\om_{2n-k}^{k-1}: \underbrace{\CC^{(0)}\times\cdots \times
\CC^{(0)}}_{\mbox{{\small $(k-1)$ times}}} \times \CC^{(1)}\to \CC^{(2n-k)}$
are constructed which are connected by generalized descent equations
$\delta\om_{2n-k}^{k-1}+\dd\om_{2n-k-1}^{k}=(\cdots)$. Here $Ch_{2n}= (F_A)^n$
where $F_A=\dd(A)+A^2$ for $A\in\CC^{(1)}$, and $(\cdots)$ is not zero but a
sum of graded commutators which vanish under integrations (traces). The problem
of constructing Yang--Mills anomalies on a given graded differential algebra is
thereby reduced to finding an interesting integration $\int$ on it. Examples
for graded differential algebras with such integrations are given and thereby
noncommutative generalizations of Yang--Mills anomalies are found.
| [
{
"created": "Wed, 2 Aug 1995 06:18:00 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Aug 1996 11:06:26 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Langmann",
"Edwin",
"",
"Theoretical Physics, KTH, Stockholm"
]
] | Consistent Yang--Mills anomalies $\int\om_{2n-k}^{k-1}$ ($n\in\N$, $ k=1,2, \ldots ,2n$) as described collectively by Zumino's descent equations $\delta\om_{2n-k}^{k-1}+\dd\om_{2n-k-1}^{k}=0$ starting with the Chern character $Ch_{2n}=\dd\om_{2n-1}^{0}$ of a principal $\SU(N)$ bundle over a $2n$ dimensional manifold are considered (i.e.\ $\int\om_{2n-k}^{k-1}$ are the Chern--Simons terms ($k=1$), axial anomalies ($k=2$), Schwinger terms ($k=3$) etc.\ in $(2n-k)$ dimensions). A generalization in the spirit of Connes' noncommutative geometry using a minimum of data is found. For an arbitrary graded differential algebra $\CC=\bigoplus_{k=0}^\infty \CC^{(k)}$ with exterior differentiation $\dd$, form valued functions $Ch_{2n}: \CC^{(1)}\to \CC^{(2n)}$ and $\om_{2n-k}^{k-1}: \underbrace{\CC^{(0)}\times\cdots \times \CC^{(0)}}_{\mbox{{\small $(k-1)$ times}}} \times \CC^{(1)}\to \CC^{(2n-k)}$ are constructed which are connected by generalized descent equations $\delta\om_{2n-k}^{k-1}+\dd\om_{2n-k-1}^{k}=(\cdots)$. Here $Ch_{2n}= (F_A)^n$ where $F_A=\dd(A)+A^2$ for $A\in\CC^{(1)}$, and $(\cdots)$ is not zero but a sum of graded commutators which vanish under integrations (traces). The problem of constructing Yang--Mills anomalies on a given graded differential algebra is thereby reduced to finding an interesting integration $\int$ on it. Examples for graded differential algebras with such integrations are given and thereby noncommutative generalizations of Yang--Mills anomalies are found. |
2304.09201 | Mattia Cesaro | Andr\'es Anabal\'on, Mattia Ces\`aro, Antonio Gallerati, Alfredo
Giambrone and Mario Trigiante | A Positive Energy Theorem for AdS Solitons | 10 pages, title changed, new author added, additional remarks | null | null | IFT-UAM/CSIC-23-42 | hep-th | http://creativecommons.org/licenses/by/4.0/ | The uncharged AdS$_4$ soliton has been recently shown to be continuously
connected to a magnetic, supersymmetric AdS$_4$ soliton within $\mathcal{N}=8$
gauged supergravity. By constructing the asymptotic superalgebra, we establish
a positive energy theorem for the magnetic AdS$_4$ solitons admitting
well-defined asymptotic Killing spinors, antiperiodic on a contractible $S^1$.
We show that there exists only one discrete solution endowed with these
boundary conditions satisfying the bound, the latter being saturated by the
null energy supersymmetric configuration. Despite having negative energy, the
uncharged AdS$_4$ soliton does not contradict the positive energy theorem, as
it does not admit well-defined asymptotic Killing spinors.
| [
{
"created": "Tue, 18 Apr 2023 18:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2023 07:12:32 GMT",
"version": "v2"
}
] | 2023-08-01 | [
[
"Anabalón",
"Andrés",
""
],
[
"Cesàro",
"Mattia",
""
],
[
"Gallerati",
"Antonio",
""
],
[
"Giambrone",
"Alfredo",
""
],
[
"Trigiante",
"Mario",
""
]
] | The uncharged AdS$_4$ soliton has been recently shown to be continuously connected to a magnetic, supersymmetric AdS$_4$ soliton within $\mathcal{N}=8$ gauged supergravity. By constructing the asymptotic superalgebra, we establish a positive energy theorem for the magnetic AdS$_4$ solitons admitting well-defined asymptotic Killing spinors, antiperiodic on a contractible $S^1$. We show that there exists only one discrete solution endowed with these boundary conditions satisfying the bound, the latter being saturated by the null energy supersymmetric configuration. Despite having negative energy, the uncharged AdS$_4$ soliton does not contradict the positive energy theorem, as it does not admit well-defined asymptotic Killing spinors. |
1502.04192 | Dieter L\"ust | Alex Kehagias, Costas Kounnas, Dieter Lust, Antonio Riotto | Black Hole Solutions in $R^2$ Gravity | 19 pages, revised version with additional references | null | null | LMU-ASC 06/15, MPP-2015-21, CERN-PH-TH-2015-026, LPTENS-15/01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find static spherically symmetric solutions of scale invariant $R^2$
gravity. The latter has been shown to be equivalent to General Relativity with
a positive cosmological constant and a scalar mode. Therefore, one expects that
solutions of the $R^2$ theory will be identical to that of Einstein theory.
Indeed, we find that the solutions of $R^2$ gravity are in one-to-one
correspondence with solutions of General Relativity in the case of
non-vanishing Ricci scalar. However, scalar-flat $R=0$ solutions are global
minima of the $R^2$ action and they cannot in general be mapped to solutions of
the Einstein theory. As we will discuss, the $R=0$ solutions arise in Einstein
gravity as solutions in the tensionless, strong coupling limit $M_P\rightarrow
0$. As a further result, there is no corresponding Birkhoff theorem and the
Schwarzschild black hole is by no means unique in this framework. In fact,
$R^2$ gravity has a rich structure of vacuum static spherically symmetric
solutions partially uncovered here. We also find charged static spherically
symmetric backgrounds coupled to a $U(1)$ field. Finally, we provide the
entropy and energy formulas for the $R^2$ theory and we find that entropy and
energy vanish for scalar-flat backgrounds.
| [
{
"created": "Sat, 14 Feb 2015 11:33:51 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Feb 2015 17:46:47 GMT",
"version": "v2"
}
] | 2015-02-23 | [
[
"Kehagias",
"Alex",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Lust",
"Dieter",
""
],
[
"Riotto",
"Antonio",
""
]
] | We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions of the $R^2$ theory will be identical to that of Einstein theory. Indeed, we find that the solutions of $R^2$ gravity are in one-to-one correspondence with solutions of General Relativity in the case of non-vanishing Ricci scalar. However, scalar-flat $R=0$ solutions are global minima of the $R^2$ action and they cannot in general be mapped to solutions of the Einstein theory. As we will discuss, the $R=0$ solutions arise in Einstein gravity as solutions in the tensionless, strong coupling limit $M_P\rightarrow 0$. As a further result, there is no corresponding Birkhoff theorem and the Schwarzschild black hole is by no means unique in this framework. In fact, $R^2$ gravity has a rich structure of vacuum static spherically symmetric solutions partially uncovered here. We also find charged static spherically symmetric backgrounds coupled to a $U(1)$ field. Finally, we provide the entropy and energy formulas for the $R^2$ theory and we find that entropy and energy vanish for scalar-flat backgrounds. |
1407.4635 | Patrick Concha | P.K. Concha, E.K. Rodr\'iguez | N=1 Supergravity and Maxwell superalgebras | 22 pages, published version | JHEP 1409 (2014) 090 | 10.1007/JHEP09(2014)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the construction of the $D=4$ supergravity action from the minimal
Maxwell superalgebra $s\mathcal{M}_{4}$, which can be derived from the
$\mathfrak{osp}\left( 4|1\right) $ superalgebra by applying the abelian
semigroup expansion procedure. We show that $N=1$, $D=4$ pure supergravity can
be obtained alternatively as the MacDowell-Mansouri like action built from the
curvatures of the Maxwell superalgebra $s\mathcal{M}_{4}$. We extend this
result to all minimal Maxwell superalgebras type $s\mathcal{M}_{m+2}$. The
invariance under supersymmetry transformations is also analized.
| [
{
"created": "Thu, 17 Jul 2014 11:15:58 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2014 13:07:36 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2014 23:31:33 GMT",
"version": "v3"
}
] | 2014-09-19 | [
[
"Concha",
"P. K.",
""
],
[
"Rodríguez",
"E. K.",
""
]
] | We present the construction of the $D=4$ supergravity action from the minimal Maxwell superalgebra $s\mathcal{M}_{4}$, which can be derived from the $\mathfrak{osp}\left( 4|1\right) $ superalgebra by applying the abelian semigroup expansion procedure. We show that $N=1$, $D=4$ pure supergravity can be obtained alternatively as the MacDowell-Mansouri like action built from the curvatures of the Maxwell superalgebra $s\mathcal{M}_{4}$. We extend this result to all minimal Maxwell superalgebras type $s\mathcal{M}_{m+2}$. The invariance under supersymmetry transformations is also analized. |
hep-th/9910224 | Masoud Alimohammadi | M. Khorrami, M. Alimohammadi | Large-N limit of the generalized 2D Yang-Mills theory on cylinder | 11 pages, add a paragraph after eq.(20) and add one reference,
accepted for publication in: Nucl. Phys. B (2000) | Nucl.Phys. B577 (2000) 609-618 | 10.1016/S0550-3213(00)00111-5 | null | hep-th | null | Using the collective field theory approach of large-N generalized
two-dimensional Yang-Mills theory on cylinder, it is shown that the classical
equation of motion of collective field is a generalized Hopf equation. Then,
using the Itzykson-Zuber integral at the large-N limit, it is found that the
classical Young tableau density, which satisfies the saddle-point equation and
determines the large-N limit of free energy, is the inverse of the solution of
this generalized Hopf equation, at a certain point.
| [
{
"created": "Thu, 28 Oct 1999 09:47:36 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2000 10:24:35 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Khorrami",
"M.",
""
],
[
"Alimohammadi",
"M.",
""
]
] | Using the collective field theory approach of large-N generalized two-dimensional Yang-Mills theory on cylinder, it is shown that the classical equation of motion of collective field is a generalized Hopf equation. Then, using the Itzykson-Zuber integral at the large-N limit, it is found that the classical Young tableau density, which satisfies the saddle-point equation and determines the large-N limit of free energy, is the inverse of the solution of this generalized Hopf equation, at a certain point. |
hep-th/0201048 | Andrei Smilga | A.V. Smilga | Born--Oppenheimer corrections to the effective zero-mode Hamiltonian in
SYM theory | typos corrected | JHEP0204:054,2002 | 10.1088/1126-6708/2002/04/054 | SUBATECH-02-01, TPI/MINN-01/51 | hep-th | null | We calculate the subleading terms in the Born--Oppenheimer expansion for the
effective zero-mode Hamiltonian of N = 1, d=4 supersymmetric Yang--Mills theory
with any gauge group. The Hamiltonian depends on 3r abelian gauge potentials
A_i, lying in the Cartan subalgebra, and their superpartners (r being the rank
of the group). The Hamiltonian belongs to the class of N = 2 supersymmetric QM
Hamiltonia constructed earlier by Ivanov and I. Its bosonic part describes the
motion over the 3r--dimensional manifold with a special metric. The corrections
explode when the root forms \alpha_j(A_i) vanish and the Born--Oppenheimer
approximation breaks down.
| [
{
"created": "Tue, 8 Jan 2002 16:07:50 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Sep 2002 13:59:24 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Smilga",
"A. V.",
""
]
] | We calculate the subleading terms in the Born--Oppenheimer expansion for the effective zero-mode Hamiltonian of N = 1, d=4 supersymmetric Yang--Mills theory with any gauge group. The Hamiltonian depends on 3r abelian gauge potentials A_i, lying in the Cartan subalgebra, and their superpartners (r being the rank of the group). The Hamiltonian belongs to the class of N = 2 supersymmetric QM Hamiltonia constructed earlier by Ivanov and I. Its bosonic part describes the motion over the 3r--dimensional manifold with a special metric. The corrections explode when the root forms \alpha_j(A_i) vanish and the Born--Oppenheimer approximation breaks down. |
1607.05316 | Simone Giombi | Lin Fei, Simone Giombi, Igor R. Klebanov and Grigory Tarnopolsky | Yukawa CFTs and Emergent Supersymmetry | 45 pages, 7 figures. v3: version published in PTEP | null | null | PUPT-2504 | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study conformal field theories with Yukawa interactions in dimensions
between 2 and 4; they provide UV completions of the Nambu-Jona-Lasinio and
Gross-Neveu models which have four-fermion interactions. We compute the sphere
free energy and certain operator scaling dimensions using dimensional
continuation. In the Gross-Neveu CFT with $N$ fermion degrees of freedom we
obtain the first few terms in the $4-\epsilon$ expansion using the
Gross-Neveu-Yukawa model, and the first few terms in the $2+\epsilon$ expansion
using the four-fermion interaction. We then apply Pade approximants to produce
estimates in $d=3$. For $N=1$, which corresponds to one 2-component Majorana
fermion, it has been suggested that the Yukawa theory flows to a ${\cal N}=1$
supersymmetric CFT. We provide new evidence that the $4-\epsilon$ expansion of
the $N=1$ Gross-Neveu-Yukawa model respects the supersymmetry. Our
extrapolations to $d=3$ appear to be in good agreement with the available
results obtained using the numerical conformal bootstrap. Continuation of this
CFT to $d=2$ provides evidence that the Yukawa theory flows to the tri-critical
Ising model. We apply a similar approach to calculate the sphere free energy
and operator scaling dimensions in the Nambu-Jona-Lasinio-Yukawa model, which
has an additional $U(1)$ global symmetry. For $N=2$, which corresponds to one
2-component Dirac fermion, this theory has an emergent supersymmetry with 4
supercharges, and we provide new evidence for this.
| [
{
"created": "Mon, 18 Jul 2016 20:37:37 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jul 2016 19:50:13 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Mar 2017 18:23:03 GMT",
"version": "v3"
}
] | 2017-03-30 | [
[
"Fei",
"Lin",
""
],
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] | We study conformal field theories with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the Nambu-Jona-Lasinio and Gross-Neveu models which have four-fermion interactions. We compute the sphere free energy and certain operator scaling dimensions using dimensional continuation. In the Gross-Neveu CFT with $N$ fermion degrees of freedom we obtain the first few terms in the $4-\epsilon$ expansion using the Gross-Neveu-Yukawa model, and the first few terms in the $2+\epsilon$ expansion using the four-fermion interaction. We then apply Pade approximants to produce estimates in $d=3$. For $N=1$, which corresponds to one 2-component Majorana fermion, it has been suggested that the Yukawa theory flows to a ${\cal N}=1$ supersymmetric CFT. We provide new evidence that the $4-\epsilon$ expansion of the $N=1$ Gross-Neveu-Yukawa model respects the supersymmetry. Our extrapolations to $d=3$ appear to be in good agreement with the available results obtained using the numerical conformal bootstrap. Continuation of this CFT to $d=2$ provides evidence that the Yukawa theory flows to the tri-critical Ising model. We apply a similar approach to calculate the sphere free energy and operator scaling dimensions in the Nambu-Jona-Lasinio-Yukawa model, which has an additional $U(1)$ global symmetry. For $N=2$, which corresponds to one 2-component Dirac fermion, this theory has an emergent supersymmetry with 4 supercharges, and we provide new evidence for this. |
hep-th/0511269 | Michael Bordag | M. Bordag | The Casimir effect for thin plasma sheets and the role of the surface
plasmons | submitted to JPhysA Special Issue QFEXT'05, replaced due to a wrong
Latex command | J.Phys.A39:6173-6186,2006 | 10.1088/0305-4470/39/21/S08 | null | hep-th | null | We consider the Casimir force betweeen two dielectric bodies described by the
plasma model and between two infinitely thin plasma sheets. In both cases in
addition to the photon modes surface plasmons are present in the spectrum of
the electromagnetic field. We investigate the contribution of both types of
modes to the Casimir force and confirm resp. find in both models large
compensations between the plasmon modes themselves and between them and the
photon modes especially at large distances. Our conclusion is that the
separation of the vacuum energy into plasmon and photon contributions must be
handled with care except for the case of small separations.
| [
{
"created": "Sat, 26 Nov 2005 20:37:36 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 2005 12:30:28 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bordag",
"M.",
""
]
] | We consider the Casimir force betweeen two dielectric bodies described by the plasma model and between two infinitely thin plasma sheets. In both cases in addition to the photon modes surface plasmons are present in the spectrum of the electromagnetic field. We investigate the contribution of both types of modes to the Casimir force and confirm resp. find in both models large compensations between the plasmon modes themselves and between them and the photon modes especially at large distances. Our conclusion is that the separation of the vacuum energy into plasmon and photon contributions must be handled with care except for the case of small separations. |
1511.07676 | Michael Haack | G.L. Cardoso, M. Haack and S. Nampuri | Nernst branes with Lifshitz asymptotics in N=2 gauged supergravity | v2: 32 pages, improved presentation, added references, matches
published version | JHEP 06 (2016), 1-32 | 10.1007/JHEP06(2016)144 | LMU-ASC 73/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss two classes of non-supersymmetric interpolating solutions in N=2,
D=4 gauged supergravity, that flow from either a z=2 Lifshitz geometry or a
conformal AdS background to the near-horizon geometry of a Nernst brane. We
obtain these solutions by constructing a z=2 supersymmetric Lifshitz solution
in the STU model from a first-order rewriting of the action, then lifting it up
to a five-dimensional background and subsequently modifying this
five-dimensional solution by a two-parameter family of deformations. Under
reduction, these give four-dimensional non-supersymmetric Nernst brane
solutions. This is a step towards resolving the Lifshitz tidal force
singularity in the context of N=2 gauged supergravity and suggests an approach
to encoding the Nernst brane in terms of the Schroedinger symmetry group of the
holographically dual field theory.
| [
{
"created": "Tue, 24 Nov 2015 12:27:30 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2016 14:37:36 GMT",
"version": "v2"
}
] | 2016-07-04 | [
[
"Cardoso",
"G. L.",
""
],
[
"Haack",
"M.",
""
],
[
"Nampuri",
"S.",
""
]
] | We discuss two classes of non-supersymmetric interpolating solutions in N=2, D=4 gauged supergravity, that flow from either a z=2 Lifshitz geometry or a conformal AdS background to the near-horizon geometry of a Nernst brane. We obtain these solutions by constructing a z=2 supersymmetric Lifshitz solution in the STU model from a first-order rewriting of the action, then lifting it up to a five-dimensional background and subsequently modifying this five-dimensional solution by a two-parameter family of deformations. Under reduction, these give four-dimensional non-supersymmetric Nernst brane solutions. This is a step towards resolving the Lifshitz tidal force singularity in the context of N=2 gauged supergravity and suggests an approach to encoding the Nernst brane in terms of the Schroedinger symmetry group of the holographically dual field theory. |
1011.5820 | Peter West | Duncan Steele and Peter West | E11 and Supersymmetry | 10 pages, typos corrected and some more explanations given | JHEP 1102:101,2011 | 10.1007/JHEP02(2011)101 | KCL-MTH-10-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce fermions into the E11 non-linear realisation. We show, at low
levels, that the commutators of the Cartan involution invariant subalgebra of
E11 with the known supersymmetry transformations of eleven dimensional
supergravity lead to symmetries of the theory indicating the consistency of
supersymmetry and E11.
| [
{
"created": "Fri, 26 Nov 2010 15:21:12 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Feb 2011 15:07:17 GMT",
"version": "v2"
}
] | 2011-03-18 | [
[
"Steele",
"Duncan",
""
],
[
"West",
"Peter",
""
]
] | We introduce fermions into the E11 non-linear realisation. We show, at low levels, that the commutators of the Cartan involution invariant subalgebra of E11 with the known supersymmetry transformations of eleven dimensional supergravity lead to symmetries of the theory indicating the consistency of supersymmetry and E11. |
hep-th/0210022 | Dimitar Mladenov | V.P. Gerdt, A.M. Khvedelidze, D.M. Mladenov | Light-cone SU(2) Yang-Mills theory and conformal mechanics | 23 pages, LaTeX, no figures. V2: Presentation simplified and
clarified, minor improvements in the whole text, typos corrected, references
added. V3: Very small changes. V4: Changes in the text, Appendix added,
references added | null | null | null | hep-th math-ph math.MP nlin.SI | null | We examine the mechanical matrix model that can be derived from the SU(2)
Yang-Mills light-cone field theory by restricting the gauge fields to depend on
the light-cone time alone. We use Dirac's generalized Hamiltonian approach. In
contrast to its well-known instant-time counterpart the light-cone version of
SU(2) Yang-Mills mechanics has in addition to the constraints, generating the
SU(2) gauge transformations, the new first and second class constraints also.
On account of all of these constraints a complete reduction in number of the
degrees of freedom is performed. It is argued that the classical evolution of
the unconstrained degrees of freedom is equivalent to a free one-dimensional
particle dynamics. Considering the complex solutions to the second class
constraints we show at this time that the unconstrained Hamiltonian system
represents the well-known model of conformal mechanics with a ``strength'' of
the inverse square interaction determined by the value of the gauge field spin.
| [
{
"created": "Thu, 3 Oct 2002 12:43:59 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2003 19:37:08 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Sep 2003 20:27:31 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Dec 2005 15:41:54 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Gerdt",
"V. P.",
""
],
[
"Khvedelidze",
"A. M.",
""
],
[
"Mladenov",
"D. M.",
""
]
] | We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone. We use Dirac's generalized Hamiltonian approach. In contrast to its well-known instant-time counterpart the light-cone version of SU(2) Yang-Mills mechanics has in addition to the constraints, generating the SU(2) gauge transformations, the new first and second class constraints also. On account of all of these constraints a complete reduction in number of the degrees of freedom is performed. It is argued that the classical evolution of the unconstrained degrees of freedom is equivalent to a free one-dimensional particle dynamics. Considering the complex solutions to the second class constraints we show at this time that the unconstrained Hamiltonian system represents the well-known model of conformal mechanics with a ``strength'' of the inverse square interaction determined by the value of the gauge field spin. |
hep-th/9305040 | Don N. Page | Don N. Page (University of Alberta) | Black Hole Information | 48 pages, 292 references, LaTeX. Spaces were removed before reference
abbreviations, so that citation numbers would be LaTeXed correctly by the
current software, as the previous version of the paper had been by the old
LaTeX software in use when that version was submitted. After Eq. (7), a new
reference [290] was added, to Foong and Kanno's paper, which appeared after
this review was published in the Proceedings of the 5th Canadian Conference
on General Relativity and Relativistic Astrophysics | null | null | Alberta-Thy-23-93 | hep-th gr-qc | null | Hawking's 1974 calculation of thermal emission from a classical black hole
led to his 1976 proposal that information may be lost from our universe as a
pure quantum state collapses gravitationally into a black hole, which then
evaporates completely into a mixed state of thermal radiation. Another
possibility is that the information is not lost, but is stored in a remnant of
the evaporating black hole. A third idea is that the information comes out in
nonthermal correlations within the Hawking radiation, which would be expected
to occur at too slow a rate, or be too spread out, to be revealed by any
nonperturbative calculation.
| [
{
"created": "Mon, 10 May 1993 22:34:41 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jul 1993 23:50:40 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Aug 1993 04:28:41 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Aug 1993 22:47:28 GMT",
"version": "v4"
},
{
"cr... | 2008-02-03 | [
[
"Page",
"Don N.",
"",
"University of Alberta"
]
] | Hawking's 1974 calculation of thermal emission from a classical black hole led to his 1976 proposal that information may be lost from our universe as a pure quantum state collapses gravitationally into a black hole, which then evaporates completely into a mixed state of thermal radiation. Another possibility is that the information is not lost, but is stored in a remnant of the evaporating black hole. A third idea is that the information comes out in nonthermal correlations within the Hawking radiation, which would be expected to occur at too slow a rate, or be too spread out, to be revealed by any nonperturbative calculation. |
1307.5629 | Hajar Ebrahim | M. Ali-Akbari, H. Ebrahim, Z. Rezaei | Probe Branes Thermalization in External Electric and Magnetic Fields | 27 pages, 7 figures | Nuclear Physics B 878 (2014) 150-168 | 10.1016/j.nuclphysb.2013.11.012 | IPM/P-2013/019 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study thermalization on rotating probe branes in AdS_5 x S^5 background in
the presence of constant external electric and magnetic fields. In the AdS/CFT
framework this corresponds to thermalization in the flavour sector in field
theory. The horizon appears on the worldvolume of the probe brane due to its
rotation in one of the sphere directions. For both electric and magnetic fields
the behaviour of the temperature is independent of the probe brane dimension.
We also study the open string metric and the fluctuations of the probe brane in
such a set-up. We show that the temperatures obtained from open string metric
and observed by the fluctuations are larger than the one calculated from the
induced metric.
| [
{
"created": "Mon, 22 Jul 2013 09:31:56 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Ali-Akbari",
"M.",
""
],
[
"Ebrahim",
"H.",
""
],
[
"Rezaei",
"Z.",
""
]
] | We study thermalization on rotating probe branes in AdS_5 x S^5 background in the presence of constant external electric and magnetic fields. In the AdS/CFT framework this corresponds to thermalization in the flavour sector in field theory. The horizon appears on the worldvolume of the probe brane due to its rotation in one of the sphere directions. For both electric and magnetic fields the behaviour of the temperature is independent of the probe brane dimension. We also study the open string metric and the fluctuations of the probe brane in such a set-up. We show that the temperatures obtained from open string metric and observed by the fluctuations are larger than the one calculated from the induced metric. |
2403.18594 | Vasileios Moustakis | Daniele Bielli (University of Surrey and Chulalongkorn University),
Vaibhav Gautam (University of Surrey and Queen Mary University of London),
Vasileios Moustakis (University of Surrey), Andrea Prinsloo (University of
Surrey), Alessandro Torrielli (University of Surrey) | Boundary scattering in massless $AdS_3$ | 52 pages, 3 figures | null | null | DMUS-MP-23/16 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the boundary integrability problem of the massless sector of $AdS_3
\times S^3 \times T^4 $ string theory. Exploiting the difference-form of the
massless scattering theory, we find a very simple and exhaustive list of
reflection matrices for all the possible boundary coideal subalgebras - singlet
and vector representations, right and left boundary - and check basic
properties of our solutions, primarily the boundary Yang-Baxter equation, for
all possible combinations of scattering particles.
| [
{
"created": "Wed, 27 Mar 2024 14:19:17 GMT",
"version": "v1"
},
{
"created": "Mon, 6 May 2024 12:19:55 GMT",
"version": "v2"
}
] | 2024-05-07 | [
[
"Bielli",
"Daniele",
"",
"University of Surrey and Chulalongkorn University"
],
[
"Gautam",
"Vaibhav",
"",
"University of Surrey and Queen Mary University of London"
],
[
"Moustakis",
"Vasileios",
"",
"University of Surrey"
],
[
"Prinsloo",
"Andr... | We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection matrices for all the possible boundary coideal subalgebras - singlet and vector representations, right and left boundary - and check basic properties of our solutions, primarily the boundary Yang-Baxter equation, for all possible combinations of scattering particles. |
hep-th/9610131 | Krzysztof Meissner | Krzysztof A. Meissner (CERN) | Symmetries of higher-order string gravity actions | 10 pages, LATEX file, several misprints corrected, two references
added, the final version submitted to Phys.Lett.B | Phys.Lett. B392 (1997) 298-304 | 10.1016/S0370-2693(96)01556-0 | CERN-TH/96-291 | hep-th gr-qc | null | In this paper we explicitly prove the invariance of the time-dependent string
gravity Lagrangian with up to four derivatives under the global $O(d,d)$
symmetry.
| [
{
"created": "Thu, 17 Oct 1996 12:16:08 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Oct 1996 11:26:49 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Meissner",
"Krzysztof A.",
"",
"CERN"
]
] | In this paper we explicitly prove the invariance of the time-dependent string gravity Lagrangian with up to four derivatives under the global $O(d,d)$ symmetry. |
1106.2236 | A. D. Alhaidari | A. D. Alhaidari, A. Jellal | Compatibility of symmetric quantization with general covariance in the
Dirac equation and spin connections | In this version, Eq. (17) and Eqs. (18a-18c) are Corrected | Physics Letters A 379 (2015), pp. 2946-2950 | 10.1016/j.physleta.2015.08.021 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By requiring unambiguous symmetric quantization leading to the Dirac equation
in a curved space, we obtain a special representation of the spin connections
in terms of the Dirac gamma matrices and their space-time derivatives. We also
require that squaring the equation give the Klein-Gordon equation in a curved
space in its canonical from (without spinor components coupling and with no
first order derivatives). These requirements result in matrix operator algebra
for the Dirac gamma matrices that involves a universal curvature constant. We
obtain exact solutions of the Dirac and Klein-Gordon equations in 1+1
space-time for a given static metric.
| [
{
"created": "Sat, 11 Jun 2011 13:36:02 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2014 09:10:11 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jan 2014 20:30:51 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Jul 2015 09:29:12 GMT",
"version": "v4"
}
] | 2015-10-22 | [
[
"Alhaidari",
"A. D.",
""
],
[
"Jellal",
"A.",
""
]
] | By requiring unambiguous symmetric quantization leading to the Dirac equation in a curved space, we obtain a special representation of the spin connections in terms of the Dirac gamma matrices and their space-time derivatives. We also require that squaring the equation give the Klein-Gordon equation in a curved space in its canonical from (without spinor components coupling and with no first order derivatives). These requirements result in matrix operator algebra for the Dirac gamma matrices that involves a universal curvature constant. We obtain exact solutions of the Dirac and Klein-Gordon equations in 1+1 space-time for a given static metric. |
1101.3406 | Sergey Timofeev Mr | V. V. Kiselev, S. A. Timofeev | Renormalization group analysis of cosmological constraint on the mass of
Higgs scalar | 6 pages | Yad.Fiz. 74 (2011) 804-808 | 10.1134/S1063778811050139 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Higgs boson of Standard Model, minimally coupled to the gravitation, is
not able to produce the inflation of early Universe if its mass exceeds the
threshold value, which is equal to m_H^{min} = 142 GeV in the tree
approximation for the scalar potential. Two-loop corrections modify the
estimate as m_H^{min} = 150 \pm 3 GeV, so that higher-order corrections of
perturbation theory are completely under control, though they are numerically
important in respect of experimental searches.
| [
{
"created": "Tue, 18 Jan 2011 09:07:35 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Kiselev",
"V. V.",
""
],
[
"Timofeev",
"S. A.",
""
]
] | The Higgs boson of Standard Model, minimally coupled to the gravitation, is not able to produce the inflation of early Universe if its mass exceeds the threshold value, which is equal to m_H^{min} = 142 GeV in the tree approximation for the scalar potential. Two-loop corrections modify the estimate as m_H^{min} = 150 \pm 3 GeV, so that higher-order corrections of perturbation theory are completely under control, though they are numerically important in respect of experimental searches. |
hep-th/0612249 | Tigran Tchrakian | Tigran Tchrakian | Dirac-Yang monopoles and their regular counterparts | Talk given at SYMPHYS XII, July 2006, Yerevan, Armenia. To appear in
Proceedings, eds. L. Mardoyan and G. Pogosyan, in special issue of Yadernaya
Fizika | null | null | null | hep-th | null | The Dirac-Yang monopoles are singular Yang--Mills field configurations in all
Euclidean dimensions. The regular counterpart of the Dirac monopole in D=3 is
the t Hooft-Polyakov monopole, the former being simply a gauge transform of the
asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang
monopoles in all dimensions, are described. In the first part of this talk the
hierarchy of Dirac--Yang (DY) monopoles will be defined, in the second part the
motivation to study these in a topoical context will be briefly presented, and
in the last part, two classes of regular counterparts to the DY hierarchy will
be presented.
| [
{
"created": "Fri, 22 Dec 2006 15:35:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tchrakian",
"Tigran",
""
]
] | The Dirac-Yang monopoles are singular Yang--Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D=3 is the t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang monopoles in all dimensions, are described. In the first part of this talk the hierarchy of Dirac--Yang (DY) monopoles will be defined, in the second part the motivation to study these in a topoical context will be briefly presented, and in the last part, two classes of regular counterparts to the DY hierarchy will be presented. |
0708.1001 | Per Kraus | Per Kraus, Finn Larsen, and Akhil Shah | Fundamental Strings, Holography, and Nonlinear Superconformal Algebras | 25 pages | JHEP 0711:028,2007 | 10.1088/1126-6708/2007/11/028 | null | hep-th | null | We discuss aspects of holography in the AdS_3 \times S^p near string geometry
of a collection of straight fundamental heterotic strings. We use anomalies and
symmetries to determine general features of the dual CFT. The symmetries
suggest the appearance of nonlinear superconformal algebras, and we show how
these arise in the framework of holographic renormalization methods. The
nonlinear algebras imply intricate formulas for the central charge, and we show
that in the bulk these correspond to an infinite series of quantum gravity
corrections. We also makes some comments on the worldsheet sigma-model for
strings on AdS_3\times S^2, which is the holographic dual geometry of parallel
heterotic strings in five dimensions.
| [
{
"created": "Tue, 7 Aug 2007 18:19:08 GMT",
"version": "v1"
}
] | 2009-04-03 | [
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
],
[
"Shah",
"Akhil",
""
]
] | We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest the appearance of nonlinear superconformal algebras, and we show how these arise in the framework of holographic renormalization methods. The nonlinear algebras imply intricate formulas for the central charge, and we show that in the bulk these correspond to an infinite series of quantum gravity corrections. We also makes some comments on the worldsheet sigma-model for strings on AdS_3\times S^2, which is the holographic dual geometry of parallel heterotic strings in five dimensions. |
hep-th/0305205 | Lev Rozansky | L. Rozansky | Topological A-models on seamed Riemann surfaces | 12 pages | null | null | null | hep-th | null | We define a class of topological A-models on a collection of Riemann
surfaces, whose boundaries are sewn together along the seams. The target spaces
for the Riemann surfaces are the Grassmanians Gr_{m_i,n} with the common value
of n, and the boundary conditions at the seams demand that the spaces
C^{m_i}\subset C^n present the orthogonal decomposition of C^n. The whole
construction is a QFT interpretation of a part of Khovanov's categorification
of the sl(3) HOMFLY polynomial.
| [
{
"created": "Thu, 22 May 2003 20:40:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rozansky",
"L.",
""
]
] | We define a class of topological A-models on a collection of Riemann surfaces, whose boundaries are sewn together along the seams. The target spaces for the Riemann surfaces are the Grassmanians Gr_{m_i,n} with the common value of n, and the boundary conditions at the seams demand that the spaces C^{m_i}\subset C^n present the orthogonal decomposition of C^n. The whole construction is a QFT interpretation of a part of Khovanov's categorification of the sl(3) HOMFLY polynomial. |
2309.01913 | Zhihao Duan | Zhihao Duan, Qiang Jia and Sungjay Lee | $\mathbb{Z}_N$ Duality and Parafermions Revisited | 39 pages, 5 figures; references added; reference added, published
version | null | null | KIAS-P23039 | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | Given a two-dimensional bosonic theory with a non-anomalous $\mathbb{Z}_2$
symmetry, the orbifolding and fermionization can be understood holographically
using three-dimensional BF theory with level $2$. From a Hamiltonian
perspective, the information of dualities is encoded in a topological boundary
state which is defined as an eigenstate of certain Wilson loop operators
(anyons) in the bulk. We generalize this story to two-dimensional theories with
non-anomalous $\mathbb{Z}_N$ symmetry, focusing on parafermionization. We find
the generic operators defining different topological boundary states including
orbifolding and parafermionization with $\mathbb{Z}_N$ or subgroups of
$\mathbb{Z}_N$, and discuss their algebraic properties as well as the
$\mathbb{Z}_N$ duality web.
| [
{
"created": "Tue, 5 Sep 2023 02:54:31 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Sep 2023 00:27:33 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Nov 2023 18:08:01 GMT",
"version": "v3"
}
] | 2023-11-27 | [
[
"Duan",
"Zhihao",
""
],
[
"Jia",
"Qiang",
""
],
[
"Lee",
"Sungjay",
""
]
] | Given a two-dimensional bosonic theory with a non-anomalous $\mathbb{Z}_2$ symmetry, the orbifolding and fermionization can be understood holographically using three-dimensional BF theory with level $2$. From a Hamiltonian perspective, the information of dualities is encoded in a topological boundary state which is defined as an eigenstate of certain Wilson loop operators (anyons) in the bulk. We generalize this story to two-dimensional theories with non-anomalous $\mathbb{Z}_N$ symmetry, focusing on parafermionization. We find the generic operators defining different topological boundary states including orbifolding and parafermionization with $\mathbb{Z}_N$ or subgroups of $\mathbb{Z}_N$, and discuss their algebraic properties as well as the $\mathbb{Z}_N$ duality web. |
0904.0549 | Yu. M. Zinoviev | Yu. M. Zinoviev | Frame-like gauge invariant formulation for mixed symmetry fermionic
fields | 30 pages, 10 LaTeX pictures | Nucl.Phys.B821:21-47,2009 | 10.1016/j.nuclphysb.2009.06.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider frame-like formulation for mixed symmetry
spin-tensors corresponding to arbitrary Young tableau with two rows. First of
all, we extend Skvortsov formulation for massless mixed symmetry bosonic fields
in flat Minkowski space to the case of massless fermionic fields. Then, using
such massless fields as building blocks, we construct gauge invariant
formulation for massive spin-tensors with the same symmetry properties. We give
general massive theories in (A)dS spaces with arbitrary cosmological constant
and investigate all possible massless and partially massless limits.
| [
{
"created": "Fri, 3 Apr 2009 11:20:24 GMT",
"version": "v1"
}
] | 2009-08-11 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | In this paper we consider frame-like formulation for mixed symmetry spin-tensors corresponding to arbitrary Young tableau with two rows. First of all, we extend Skvortsov formulation for massless mixed symmetry bosonic fields in flat Minkowski space to the case of massless fermionic fields. Then, using such massless fields as building blocks, we construct gauge invariant formulation for massive spin-tensors with the same symmetry properties. We give general massive theories in (A)dS spaces with arbitrary cosmological constant and investigate all possible massless and partially massless limits. |
1904.04852 | Ilija Buric | Ilija Buric, Volker Schomerus, Evgeny Sobko | Superconformal Blocks: General Theory | JHEP format, an appendix and remarks added, typos corrected | null | 10.1007/JHEP01(2020)159 | DESY 19-057, NORDITA 2019-032 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we launch a systematic theory of superconformal blocks for
four-point functions of arbitrary supermultiplets. Our results apply to a large
class of superconformal field theories including 4-dimensional models with any
number $\mathcal{N}$ of supersymmetries. The central new ingredient is a
universal construction of the relevant Casimir differential equations. In order
to find these equations, we model superconformal blocks as functions on the
supergroup and pick a distinguished set of coordinates. The latter are chosen
so that the superconformal Casimir operator can be written as a perturbation of
the Casimir operator for spinning bosonic blocks by a fermionic (nilpotent)
term. Solutions to the associated eigenvalue problem can be obtained through a
quantum mechanical perturbation theory that truncates at some finite order so
that all results are exact. We illustrate the general theory at the example of
$d=1$ dimensional theories with $\mathcal{N}=2$ supersymmetry for which we
recover known superblocks. The paper concludes with an outlook to 4-dimensional
blocks with $\mathcal{N}=1$ supersymmetry.
| [
{
"created": "Tue, 9 Apr 2019 18:07:34 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2019 09:50:05 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Buric",
"Ilija",
""
],
[
"Schomerus",
"Volker",
""
],
[
"Sobko",
"Evgeny",
""
]
] | In this work we launch a systematic theory of superconformal blocks for four-point functions of arbitrary supermultiplets. Our results apply to a large class of superconformal field theories including 4-dimensional models with any number $\mathcal{N}$ of supersymmetries. The central new ingredient is a universal construction of the relevant Casimir differential equations. In order to find these equations, we model superconformal blocks as functions on the supergroup and pick a distinguished set of coordinates. The latter are chosen so that the superconformal Casimir operator can be written as a perturbation of the Casimir operator for spinning bosonic blocks by a fermionic (nilpotent) term. Solutions to the associated eigenvalue problem can be obtained through a quantum mechanical perturbation theory that truncates at some finite order so that all results are exact. We illustrate the general theory at the example of $d=1$ dimensional theories with $\mathcal{N}=2$ supersymmetry for which we recover known superblocks. The paper concludes with an outlook to 4-dimensional blocks with $\mathcal{N}=1$ supersymmetry. |
1901.00689 | Mohammad Reza Tanhayi | Mohsen Alishahiha, Komeil Babaei Velni, Mohammad Reza Tanhayi | Complexity and Near Extremal Charged Black Branes | 20 pages, 4 figs, Published version | Annals of Physics 425 (2021) 168398 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute holographic complexity of charged black brane solutions in
arbitrary dimensions for the near horizon limit of near extremal case using two
different methods. The corresponding complexity may be obtained either by
taking the limit from the complexity of the charged black brane, or by
computing the complexity for near horizon limit of near extremal solution. One
observes that these results coincide if one assumes to have a cutoff behind
horizon whose value is fixed by UV cutoff and also taking into account a proper
counterterm evaluated on this cutoff. We also consider the situation for Vaidya
charged black branes too.
| [
{
"created": "Thu, 3 Jan 2019 11:23:58 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2019 20:18:59 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jan 2021 11:27:06 GMT",
"version": "v3"
}
] | 2021-01-21 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Velni",
"Komeil Babaei",
""
],
[
"Tanhayi",
"Mohammad Reza",
""
]
] | We compute holographic complexity of charged black brane solutions in arbitrary dimensions for the near horizon limit of near extremal case using two different methods. The corresponding complexity may be obtained either by taking the limit from the complexity of the charged black brane, or by computing the complexity for near horizon limit of near extremal solution. One observes that these results coincide if one assumes to have a cutoff behind horizon whose value is fixed by UV cutoff and also taking into account a proper counterterm evaluated on this cutoff. We also consider the situation for Vaidya charged black branes too. |
hep-th/9211097 | Cumrun Vafa | S. Cecotti and C. Vafa | On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted
version) | 116 pages, HUTP-92/A064 and SISSA-203/92/EP | Commun.Math.Phys. 158 (1993) 569-644 | 10.1007/BF02096804 | null | hep-th | null | We find a relation between the spectrum of solitons of massive $N=2$ quantum
field theories in $d=2$ and the scaling dimensions of chiral fields at the
conformal point. The condition that the scaling dimensions be real imposes
restrictions on the soliton numbers and leads to a classification program for
symmetric $N=2$ conformal theories and their massive deformations in terms of a
suitable generalization of Dynkin diagrams (which coincides with the A--D--E
Dynkin diagrams for minimal models). The Landau-Ginzburg theories are a proper
subset of this classification. In the particular case of LG theories we relate
the soliton numbers with intersection of vanishing cycles of the corresponding
singularity; the relation between soliton numbers and the scaling dimensions in
this particular case is a well known application of Picard-Lefschetz theory.
| [
{
"created": "Mon, 23 Nov 1992 17:17:35 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 1992 19:00:39 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Cecotti",
"S.",
""
],
[
"Vafa",
"C.",
""
]
] | We find a relation between the spectrum of solitons of massive $N=2$ quantum field theories in $d=2$ and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling dimensions be real imposes restrictions on the soliton numbers and leads to a classification program for symmetric $N=2$ conformal theories and their massive deformations in terms of a suitable generalization of Dynkin diagrams (which coincides with the A--D--E Dynkin diagrams for minimal models). The Landau-Ginzburg theories are a proper subset of this classification. In the particular case of LG theories we relate the soliton numbers with intersection of vanishing cycles of the corresponding singularity; the relation between soliton numbers and the scaling dimensions in this particular case is a well known application of Picard-Lefschetz theory. |
hep-th/0406157 | Antonio Padilla | Antonio Padilla | Cosmic acceleration from asymmetric branes | Version appearing in CQG | Class.Quant.Grav. 22 (2005) 681-694 | 10.1088/0264-9381/22/4/003 | null | hep-th astro-ph hep-ph | null | We consider a single 3-brane sitting in between two different five
dimensional spacetimes. On each side of the brane, the bulk is a solution to
Gauss-Bonnet gravity, although the bare cosmological constant, funda mental
Planck scale, and Gauss-Bonnet coupling can differ. This asymmetry leads to
weighted junction conditions across the brane and interesting brane cosmology.
We focus on two special cases: a generalized Randall-Sundrum model without any
Gauss-Bonnet terms, and a stringy model, without any bare cosmological
constants, and positive Gauss-Bonnet coupling. Even though we assume there is
no vacuum energy on the brane, we find late time de Sitter cosmologies can
occur. Remarkably, in certain parameter regions, this acceleration is preceded
by a period of matter/radiation domination, with $H^2 \propto \rho$, all the
way back to nucleosynthesis.
| [
{
"created": "Fri, 18 Jun 2004 15:58:47 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jul 2004 11:01:36 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Feb 2005 11:41:51 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Padilla",
"Antonio",
""
]
] | We consider a single 3-brane sitting in between two different five dimensional spacetimes. On each side of the brane, the bulk is a solution to Gauss-Bonnet gravity, although the bare cosmological constant, funda mental Planck scale, and Gauss-Bonnet coupling can differ. This asymmetry leads to weighted junction conditions across the brane and interesting brane cosmology. We focus on two special cases: a generalized Randall-Sundrum model without any Gauss-Bonnet terms, and a stringy model, without any bare cosmological constants, and positive Gauss-Bonnet coupling. Even though we assume there is no vacuum energy on the brane, we find late time de Sitter cosmologies can occur. Remarkably, in certain parameter regions, this acceleration is preceded by a period of matter/radiation domination, with $H^2 \propto \rho$, all the way back to nucleosynthesis. |
1712.08570 | Paul Heslop | Paul Heslop and Arthur E. Lipstein | M-theory Beyond The Supergravity Approximation | 18 pages. Refs added. Other small changes | null | 10.1007/JHEP02(2018)004 | DCPT-17/47 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the four-point function of stress-tensor multiplets for the 6d
quantum field theory with $OSp(8^*|4)$ symmetry which is conjectured to be dual
to M-theory on $AdS_7 \times S^4$, and deduce the leading correction to the
tree-level supergravity prediction by obtaining a solution of the crossing
equations in the large-$N$ limit with the superconformal partial wave expansion
truncated to operators with zero spin. This correction corresponds to the
M-theoretic analogue of $\mathcal{R}^4$ corrections in string theory. We also
find solutions corresponding to higher-spin truncations, but they are
subleading compared to the 1-loop supergravity prediction, which has yet to be
calculated.
| [
{
"created": "Fri, 22 Dec 2017 16:49:31 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2018 18:40:10 GMT",
"version": "v2"
}
] | 2018-03-14 | [
[
"Heslop",
"Paul",
""
],
[
"Lipstein",
"Arthur E.",
""
]
] | We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with $OSp(8^*|4)$ symmetry which is conjectured to be dual to M-theory on $AdS_7 \times S^4$, and deduce the leading correction to the tree-level supergravity prediction by obtaining a solution of the crossing equations in the large-$N$ limit with the superconformal partial wave expansion truncated to operators with zero spin. This correction corresponds to the M-theoretic analogue of $\mathcal{R}^4$ corrections in string theory. We also find solutions corresponding to higher-spin truncations, but they are subleading compared to the 1-loop supergravity prediction, which has yet to be calculated. |
hep-th/9710213 | null | Wang-Chang Su | On the Z_2 Monopole of Spin(10) Gauge Theories | 16 pages, LaTex, no figure | Phys. Rev. D 57, 5100 (1998) | 10.1103/PhysRevD.57.5100 | null | hep-th | null | An "expanded" description is introduced to examine the spinor-monopole
identification proposed by Strassler for four-dimensional $\cal N$ = 1
supersymmetric Spin(10) gauge theories with matter in F vector and N spinor
representations. It is shown that a Z_2 monopole in the "expanded" theory is
associated with massive spinors of the Spin(10) theory. For N=2, two spinor
case, we confirm this identification by matching the transformation properties
of the two theories under SU(2) flavor symmetry. However, for N $\ge$ 3, the
transformation properties are not matched between the spinors and the monopole.
This disagreement might be due to the fact that the SU(N) flavor symmetry of
the Spin(10) theory is partially realized as an SU(2) symmetry in the
"expanded" theory.
| [
{
"created": "Tue, 28 Oct 1997 12:41:08 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Su",
"Wang-Chang",
""
]
] | An "expanded" description is introduced to examine the spinor-monopole identification proposed by Strassler for four-dimensional $\cal N$ = 1 supersymmetric Spin(10) gauge theories with matter in F vector and N spinor representations. It is shown that a Z_2 monopole in the "expanded" theory is associated with massive spinors of the Spin(10) theory. For N=2, two spinor case, we confirm this identification by matching the transformation properties of the two theories under SU(2) flavor symmetry. However, for N $\ge$ 3, the transformation properties are not matched between the spinors and the monopole. This disagreement might be due to the fact that the SU(N) flavor symmetry of the Spin(10) theory is partially realized as an SU(2) symmetry in the "expanded" theory. |
0901.1758 | Miranda C.N. Cheng | Miranda C.N. Cheng, Lotte Hollands | A Geometric Derivation of the Dyon Wall-Crossing Group | 37 pages, 5 figures | JHEP 0904:067,2009 | 10.1088/1126-6708/2009/04/067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, using supergravity analysis, a hyperbolic reflection group was
found to underlie the structure of wall-crossing, or the discontinuous moduli
dependence of the supersymmetric index due to the presence of walls of marginal
stability, of the BPS dyons in the N=4, d=4 compactification. In this paper we
work in the regime where four-dimensional gravity decouples and we show how the
presence of such a group structure can be easily understood as a consequence of
the supersymmetry of a system of (p,q) five-brane network, or equivalently the
holomorphicity of the Riemann surface wrapped by the appropriate M5 branes in
the Euclidean M-theory frame.
| [
{
"created": "Tue, 13 Jan 2009 13:41:22 GMT",
"version": "v1"
}
] | 2009-04-24 | [
[
"Cheng",
"Miranda C. N.",
""
],
[
"Hollands",
"Lotte",
""
]
] | Recently, using supergravity analysis, a hyperbolic reflection group was found to underlie the structure of wall-crossing, or the discontinuous moduli dependence of the supersymmetric index due to the presence of walls of marginal stability, of the BPS dyons in the N=4, d=4 compactification. In this paper we work in the regime where four-dimensional gravity decouples and we show how the presence of such a group structure can be easily understood as a consequence of the supersymmetry of a system of (p,q) five-brane network, or equivalently the holomorphicity of the Riemann surface wrapped by the appropriate M5 branes in the Euclidean M-theory frame. |
hep-th/0409287 | Cyril Cartier | Cyril Cartier and Ruth Durrer (University of Geneva, Switzerland) | Tachyonic perturbations in AdS$_5$ orbifolds | 11 pages, matches published version | Phys.Rev. D71 (2005) 064022 | 10.1103/PhysRevD.71.064022 | null | hep-th astro-ph | null | We show that scalar as well as vector and tensor metric perturbations in the
Randall-Sundrum II braneworld allow normalizable tachyonic modes, i.e.,
possible instabilities. These instabilities require nonvanishing initial
anisotropic stresses on the brane. We show with a specific example that within
the Randall-Sundrum II model, even though the tachyonic modes are excited, no
instability develops. We argue, however, that in the cosmological context
instabilities might in principle be present. We conjecture that the tachyonic
modes are due to the singularity of the orbifold construction. We illustrate
this with a simple but explicit toy model.
| [
{
"created": "Tue, 28 Sep 2004 09:03:01 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2005 08:41:48 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cartier",
"Cyril",
"",
"University of Geneva, Switzerland"
],
[
"Durrer",
"Ruth",
"",
"University of Geneva, Switzerland"
]
] | We show that scalar as well as vector and tensor metric perturbations in the Randall-Sundrum II braneworld allow normalizable tachyonic modes, i.e., possible instabilities. These instabilities require nonvanishing initial anisotropic stresses on the brane. We show with a specific example that within the Randall-Sundrum II model, even though the tachyonic modes are excited, no instability develops. We argue, however, that in the cosmological context instabilities might in principle be present. We conjecture that the tachyonic modes are due to the singularity of the orbifold construction. We illustrate this with a simple but explicit toy model. |
hep-th/9505103 | Hai Ren | Hai Ren | WZW model based on the extended de Sitter group | 16 pages | null | null | null | hep-th | null | We study the WZW model based on the centrally extended 2D de Sitter algebra.
We obtain the spacetime metric and its explicitly conformally flat expression.
The symmetries of the spacetime are found by identifying the Killing vectors
with the group generators. The energy-momentum tensor obtained from the
affine-Sugawara construction agrees with that from the more conventional
approach. The exact center charge agrees to one-loop order with the one-loop
beta function equations. We have also studied the representations of the
corresponding enveloping Virasoro algebra.
| [
{
"created": "Wed, 17 May 1995 22:27:10 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jul 1996 20:36:38 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Ren",
"Hai",
""
]
] | We study the WZW model based on the centrally extended 2D de Sitter algebra. We obtain the spacetime metric and its explicitly conformally flat expression. The symmetries of the spacetime are found by identifying the Killing vectors with the group generators. The energy-momentum tensor obtained from the affine-Sugawara construction agrees with that from the more conventional approach. The exact center charge agrees to one-loop order with the one-loop beta function equations. We have also studied the representations of the corresponding enveloping Virasoro algebra. |
1610.03801 | David Garfinkle | Lawrence R. Mead and David Garfinkle | A selection rule for transitions in PT-symmetric quantum theory | 13 pages, 2 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Carl Bender and collaborators have developed a quantum theory governed by
Hamiltonians that are PT-symmetric rather than Hermitian. To implement this
theory, the inner product was redefined to guarantee positive norms of
eigenstates of the Hamiltonian. In the general case, which includes arbitrary
time-dependence in the Hamiltonian, a modification of the Schrodinger equation
is necessary as shown by Gong and Wang to conserve probability. In this paper,
we derive the following selection rule: transitions induced by time dependence
in a PT-symmetric Hamiltonian cannot occur between normalized states of
differing PT-norm. We show three examples of this selection rule in action: two
matrix models and one in the continuum.
| [
{
"created": "Wed, 12 Oct 2016 17:42:45 GMT",
"version": "v1"
}
] | 2016-10-13 | [
[
"Mead",
"Lawrence R.",
""
],
[
"Garfinkle",
"David",
""
]
] | Carl Bender and collaborators have developed a quantum theory governed by Hamiltonians that are PT-symmetric rather than Hermitian. To implement this theory, the inner product was redefined to guarantee positive norms of eigenstates of the Hamiltonian. In the general case, which includes arbitrary time-dependence in the Hamiltonian, a modification of the Schrodinger equation is necessary as shown by Gong and Wang to conserve probability. In this paper, we derive the following selection rule: transitions induced by time dependence in a PT-symmetric Hamiltonian cannot occur between normalized states of differing PT-norm. We show three examples of this selection rule in action: two matrix models and one in the continuum. |
hep-th/9112011 | null | S. Kalara, J. Lopez, and D. Nanopoulos | Modular invariance and nonrenormalizable interactions | 13 pages | Phys.Lett. B287 (1992) 82-88 | 10.1016/0370-2693(92)91880-I | null | hep-th | null | We examine the modular properties of nonrenormalizable superpotential terms
in string theory and show that the requirement of modular invariance
necessitates the nonvanishing of certain Nth order nonrenormalizable terms. In
a class of models (free fermionic formulation) we explicitly verify that the
nontrivial structure imposed by the modular invariance is indeed present.
Alternatively, we argue that after proper field redefinition, nonrenormalizable
terms can be recast as to display their invariance under the modular group. We
also discuss the phenomenological implications of the above observations.
| [
{
"created": "Thu, 5 Dec 1991 18:44:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kalara",
"S.",
""
],
[
"Lopez",
"J.",
""
],
[
"Nanopoulos",
"D.",
""
]
] | We examine the modular properties of nonrenormalizable superpotential terms in string theory and show that the requirement of modular invariance necessitates the nonvanishing of certain Nth order nonrenormalizable terms. In a class of models (free fermionic formulation) we explicitly verify that the nontrivial structure imposed by the modular invariance is indeed present. Alternatively, we argue that after proper field redefinition, nonrenormalizable terms can be recast as to display their invariance under the modular group. We also discuss the phenomenological implications of the above observations. |
1209.1000 | Fernando C. Lombardo | C. D. Fosco, F. C. Lombardo, and F. D. Mazzitelli | Fourth order perturbative expansion for the Casimir energy with a
slightly deformed plate | 10 pages, 3 figures. Version to appear in Phys. Rev. D | null | 10.1103/PhysRevD.86.125018 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a perturbative approach to evaluate the Casimir energy for a
massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary
conditions on two surfaces. One of the surfaces is assumed to be flat, while
the other corresponds to a small deformation, described by a single function
$\eta$, of a flat mirror. The perturbative expansion is carried out up to the
fourth order in the deformation $\eta$, and the results are applied to the
calculation of the Casimir energy for corrugated mirrors in front of a plane.
We also reconsider the proximity force approximation within the context of this
expansion.
| [
{
"created": "Wed, 5 Sep 2012 14:54:18 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2012 16:53:48 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Fosco",
"C. D.",
""
],
[
"Lombardo",
"F. C.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] | We apply a perturbative approach to evaluate the Casimir energy for a massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary conditions on two surfaces. One of the surfaces is assumed to be flat, while the other corresponds to a small deformation, described by a single function $\eta$, of a flat mirror. The perturbative expansion is carried out up to the fourth order in the deformation $\eta$, and the results are applied to the calculation of the Casimir energy for corrugated mirrors in front of a plane. We also reconsider the proximity force approximation within the context of this expansion. |
0805.3022 | Manfred Requardt | Manfred Requardt | Spontaneous Symmetry Breaking of Lorentz and (Galilei) Boosts in
(Relativistic) Many-Body Systems | 31 pages, no figures, Latex | null | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend a result by Ojima on spontaneous symmetry breaking of Lorentz
boosts in thermal (KMS) states and show that it is in fact a special case in a
more general class of examples of spontaneous symmetry breaking of Lorentz
symmetry in relativistic many-body systems. Furthermore we analyse the nature
of the corresponding Goldstone phenomenon and the type of Goldstone excitations
(provided they have particle character).
| [
{
"created": "Tue, 20 May 2008 08:14:15 GMT",
"version": "v1"
}
] | 2016-09-08 | [
[
"Requardt",
"Manfred",
""
]
] | We extend a result by Ojima on spontaneous symmetry breaking of Lorentz boosts in thermal (KMS) states and show that it is in fact a special case in a more general class of examples of spontaneous symmetry breaking of Lorentz symmetry in relativistic many-body systems. Furthermore we analyse the nature of the corresponding Goldstone phenomenon and the type of Goldstone excitations (provided they have particle character). |
hep-th/0702023 | Richard Shurtleff | Richard Shurtleff | Forcing Free Fields | 19 pages, no figures, 5 problems. Minor editing. Wording changes:
`interval' replaced by `coordinate difference' where appropriate. A relic
phrase from earlier versions dropped. Results, equations are unchanged | null | null | null | hep-th | null | The momentum of a free massive particle, invariant under translation, thereby
realizes a trivial representation of the translation group. By allowing
nontrivial reps of translations, momentum changes with translation, a recipe
for force. Here the procedure is applied to the conventional construction of a
free quantum field using spacetime symmetries, yielding a more general field
with the free field as a special case. It is shown that a particle described by
the quantum field follows the classical trajectories of a massive charged
particle in electromagnetic and gravitational fields.
| [
{
"created": "Sat, 3 Feb 2007 15:07:10 GMT",
"version": "v1"
},
{
"created": "Sat, 12 May 2007 12:46:30 GMT",
"version": "v2"
},
{
"created": "Wed, 30 May 2007 12:50:32 GMT",
"version": "v3"
},
{
"created": "Sun, 22 Jul 2007 12:48:33 GMT",
"version": "v4"
},
{
"cr... | 2007-12-18 | [
[
"Shurtleff",
"Richard",
""
]
] | The momentum of a free massive particle, invariant under translation, thereby realizes a trivial representation of the translation group. By allowing nontrivial reps of translations, momentum changes with translation, a recipe for force. Here the procedure is applied to the conventional construction of a free quantum field using spacetime symmetries, yielding a more general field with the free field as a special case. It is shown that a particle described by the quantum field follows the classical trajectories of a massive charged particle in electromagnetic and gravitational fields. |
1607.04422 | Edwin Ireson | Adi Armoni, Edwin Ireson | Holographic Corrections to the Veneziano Amplitude | 5 pages, 2 eps figures. Final revision admitted for publication in
Physics Letters B | null | 10.1016/j.physletb.2017.05.079 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a holographic computation of the $2\rightarrow 2$ meson scattering
in a curved string background, dual to a QCD-like theory. We recover the
Veneziano amplitude and compute a perturbative correction due to the background
curvature. The result implies a small deviation from a linear trajectory, which
is a requirement of the UV regime of QCD.
| [
{
"created": "Fri, 15 Jul 2016 09:03:22 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2017 17:07:13 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Jun 2017 15:45:02 GMT",
"version": "v3"
}
] | 2017-06-07 | [
[
"Armoni",
"Adi",
""
],
[
"Ireson",
"Edwin",
""
]
] | We propose a holographic computation of the $2\rightarrow 2$ meson scattering in a curved string background, dual to a QCD-like theory. We recover the Veneziano amplitude and compute a perturbative correction due to the background curvature. The result implies a small deviation from a linear trajectory, which is a requirement of the UV regime of QCD. |
hep-th/0502205 | Ngoc-Khanh Tran | Ngoc-Khanh Tran | Few exact results on gauge symmetry factorizability on intervals | 34 pages, V3 considerable extension: gauge symmetry factorizability
in arbitrary dimensions presented, statements on symmetry breakings softened.
Dedicated to the memory of Prof. Henri van Regemorter | Nucl.Phys. B734 (2006) 246-271 | 10.1016/j.nuclphysb.2005.11.017 | null | hep-th | null | We study the gauge symmetry factorizability by boundary conditions on
intervals of any dimensions. With Dirichlet-Neumann BCs, the Kaluza-Klein
decomposition in five-dimension for arbitrary gauge group can always be
factorized into that for separate subsets of at most two gauge symmetries, and
so is completely solvable. Accordingly, we formulate a limit theorem on gauge
symmetry factorizability on intervals to recapitulate this remarkable feature
of five-dimension case. In higher-dimensional space-time, an interesting
chained mixing of gauge symmetries by Dirichlet-Neumann BCs is explicitly
constructed. The systematic decomposition picture obtained in this work
constitutes the initial step towards determining the general symmetry breaking
scheme by boundary conditions.
| [
{
"created": "Tue, 22 Feb 2005 23:03:55 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2005 23:13:06 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2006 21:44:26 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Tran",
"Ngoc-Khanh",
""
]
] | We study the gauge symmetry factorizability by boundary conditions on intervals of any dimensions. With Dirichlet-Neumann BCs, the Kaluza-Klein decomposition in five-dimension for arbitrary gauge group can always be factorized into that for separate subsets of at most two gauge symmetries, and so is completely solvable. Accordingly, we formulate a limit theorem on gauge symmetry factorizability on intervals to recapitulate this remarkable feature of five-dimension case. In higher-dimensional space-time, an interesting chained mixing of gauge symmetries by Dirichlet-Neumann BCs is explicitly constructed. The systematic decomposition picture obtained in this work constitutes the initial step towards determining the general symmetry breaking scheme by boundary conditions. |
1805.03623 | Fri{\dh}rik Freyr Gautason | Nikolay Bobev, Fridrik Freyr Gautason, Benjamin E. Niehoff, and Jesse
van Muiden | Uplifting GPPZ: A Ten-dimensional Dual of $\mathcal{N}=1^{*}$ | 23 pages, no figures. v4: Minor corrections, published version | null | 10.1007/JHEP10(2018)058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a new supersymmetric solution of type IIB supergravity which is the
uplift of the GPPZ solution of maximal SO$(6)$ gauged supergravity in five
dimensions. This background is expected to be holographically dual to an
$\mathcal{N}=1^{*}$ supersymmetric mass deformation of four-dimensional
$\mathcal{N}=4$ SYM. The ten-dimensional solution is singular in the region
corresponding to the IR regime of the dual gauge theory and we discuss the
physics of the singularity in some detail.
| [
{
"created": "Wed, 9 May 2018 17:20:25 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2018 08:54:15 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Oct 2018 09:11:38 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Feb 2019 08:54:10 GMT",
"version": "v4"
}
] | 2019-02-08 | [
[
"Bobev",
"Nikolay",
""
],
[
"Gautason",
"Fridrik Freyr",
""
],
[
"Niehoff",
"Benjamin E.",
""
],
[
"van Muiden",
"Jesse",
""
]
] | We find a new supersymmetric solution of type IIB supergravity which is the uplift of the GPPZ solution of maximal SO$(6)$ gauged supergravity in five dimensions. This background is expected to be holographically dual to an $\mathcal{N}=1^{*}$ supersymmetric mass deformation of four-dimensional $\mathcal{N}=4$ SYM. The ten-dimensional solution is singular in the region corresponding to the IR regime of the dual gauge theory and we discuss the physics of the singularity in some detail. |
2009.12342 | Robert Oeckl | Daniele Colosi, Robert Oeckl | Locality and General Vacua in Quantum Field Theory | null | SIGMA 17 (2021), 073, 83 pages | 10.3842/SIGMA.2021.073 | UNAM-CCM-2020-1 | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by-sa/4.0/ | We extend the framework of general boundary quantum field theory (GBQFT) to
achieve a fully local description of realistic quantum field theories. This
requires the quantization of non-K\"ahler polarizations which occur generically
on timelike hypersurfaces in Lorentzian spacetimes as has been shown recently.
We achieve this in two ways: On the one hand we replace Hilbert space states by
observables localized on hypersurfaces, in the spirit of algebraic quantum
field theory. On the other hand we apply the GNS construction to twisted
star-structures to obtain Hilbert spaces, motivated by the notion of reflection
positivity of the Euclidean approach to quantum field theory. As one
consequence, the well-known representation of a vacuum state in terms of a sea
of particle pairs in the Hilbert space of another vacuum admits a vast
generalization to non-K\"ahler vacua, particularly relevant on timelike
hypersurfaces.
| [
{
"created": "Fri, 25 Sep 2020 17:03:02 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 2021 07:06:29 GMT",
"version": "v2"
}
] | 2021-07-27 | [
[
"Colosi",
"Daniele",
""
],
[
"Oeckl",
"Robert",
""
]
] | We extend the framework of general boundary quantum field theory (GBQFT) to achieve a fully local description of realistic quantum field theories. This requires the quantization of non-K\"ahler polarizations which occur generically on timelike hypersurfaces in Lorentzian spacetimes as has been shown recently. We achieve this in two ways: On the one hand we replace Hilbert space states by observables localized on hypersurfaces, in the spirit of algebraic quantum field theory. On the other hand we apply the GNS construction to twisted star-structures to obtain Hilbert spaces, motivated by the notion of reflection positivity of the Euclidean approach to quantum field theory. As one consequence, the well-known representation of a vacuum state in terms of a sea of particle pairs in the Hilbert space of another vacuum admits a vast generalization to non-K\"ahler vacua, particularly relevant on timelike hypersurfaces. |
2303.13207 | Hynek Paul | Hynek Paul, Eric Perlmutter, Himanshu Raj | Exact Large Charge in $\mathcal{N}=4$ SYM and Semiclassical String
Theory | 31 pages + appendices | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group
$SU(N)$, we present a closed-form solution for a family of integrated
four-point functions involving stress tensor multiplet composites of arbitrary
R-charge. These integrated correlators are shown to be equivalent to a
one-dimensional semi-infinite lattice of harmonic oscillators with
nearest-neighbor interactions, evolving over the fundamental domain of
$SL(2,\mathbb{Z})$. The solution, exceptionally simple in an
$SL(2,\mathbb{Z})$-invariant eigenbasis, is exact in the R-charge $p$, rank
$N$, and complexified gauge coupling $\tau$. This permits a systematic and
non-perturbative large charge expansion for any $N$ and $\tau$. Especially
novel is a double-scaled "gravity regime" in which $p \sim N^2 \gg 1$,
holographically dual to a large charge regime of semiclassical type IIB string
theory in AdS$_5\, \times$ S$^5$. Our results in this limit provide a
holographic computation of integrated semiclassical string amplitudes at
arbitrary string coupling, including an emergent string scale with a large
charge dressing factor. We compare to extremal correlators in superconformal
QCD, for which we predict new genus expansions at large charge scaling with
$N$.
| [
{
"created": "Thu, 23 Mar 2023 12:05:33 GMT",
"version": "v1"
}
] | 2023-03-24 | [
[
"Paul",
"Hynek",
""
],
[
"Perlmutter",
"Eric",
""
],
[
"Raj",
"Himanshu",
""
]
] | In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge. These integrated correlators are shown to be equivalent to a one-dimensional semi-infinite lattice of harmonic oscillators with nearest-neighbor interactions, evolving over the fundamental domain of $SL(2,\mathbb{Z})$. The solution, exceptionally simple in an $SL(2,\mathbb{Z})$-invariant eigenbasis, is exact in the R-charge $p$, rank $N$, and complexified gauge coupling $\tau$. This permits a systematic and non-perturbative large charge expansion for any $N$ and $\tau$. Especially novel is a double-scaled "gravity regime" in which $p \sim N^2 \gg 1$, holographically dual to a large charge regime of semiclassical type IIB string theory in AdS$_5\, \times$ S$^5$. Our results in this limit provide a holographic computation of integrated semiclassical string amplitudes at arbitrary string coupling, including an emergent string scale with a large charge dressing factor. We compare to extremal correlators in superconformal QCD, for which we predict new genus expansions at large charge scaling with $N$. |
2405.10374 | Supritha Bhowmick | Supritha Bhowmick, Diptimoy Ghosh, Farman Ullah | Bispectrum at 1-loop in the Effective Field Theory of Inflation | 25 pages | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this paper we compute 1-loop corrections to the bispectrum in the
decoupling limit of the Effective Field Theory of Inflation (EFToI). We
regulate the divergences by employing dimensional regularization and work in
$d=3+\delta$ dimensions. We find that the final results feature analytic
structures of the form $\log{\left(k_i/k_T\right)}$ and
$\log{\left(H/\mu\right)}$, where $H$ is the Hubble parameter and $\mu$ is the
renormalisation scale. An interesting outcome of our calculations is that
unlike the 1-loop correction to the power-spectrum computed in arXiv:0912.2734
the unrenormalised answers always produce unphysical logarithms of co-moving
momenta. These unphysical logarithms are cancelled only after renormalisation.
We expect this to be a generic feature for loop computations unless there is
some cancellation as in the previously computed 1-loop result for the
power-spectrum.
| [
{
"created": "Thu, 16 May 2024 18:14:15 GMT",
"version": "v1"
}
] | 2024-05-20 | [
[
"Bhowmick",
"Supritha",
""
],
[
"Ghosh",
"Diptimoy",
""
],
[
"Ullah",
"Farman",
""
]
] | In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in $d=3+\delta$ dimensions. We find that the final results feature analytic structures of the form $\log{\left(k_i/k_T\right)}$ and $\log{\left(H/\mu\right)}$, where $H$ is the Hubble parameter and $\mu$ is the renormalisation scale. An interesting outcome of our calculations is that unlike the 1-loop correction to the power-spectrum computed in arXiv:0912.2734 the unrenormalised answers always produce unphysical logarithms of co-moving momenta. These unphysical logarithms are cancelled only after renormalisation. We expect this to be a generic feature for loop computations unless there is some cancellation as in the previously computed 1-loop result for the power-spectrum. |
1412.0635 | Emanuel Malek | Chris D. A. Blair, Emanuel Malek | Geometry and fluxes of SL(5) exceptional field theory | 50 pages; v2: Journal version, minor typos corrected, references
added | JHEP 1503 (2015) 144 | 10.1007/JHEP03(2015)144 | DAMTP-2014-88, QGASLAB-14-05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a geometric approach to construct a flux formulation for the SL(5)
U-duality manifest exceptional field theory. The resulting formalism is
well-suited for studying gauged supergravities with geometric and non-geometric
fluxes. Here we describe all such fluxes for both M-theory and IIB supergravity
including the Ramond-Ramond fields for compactifications to seven dimensions.
We define the locally non-geometric "R-flux" and globally non-geometric
"Q-flux" for M-theory and find a new locally non-geometric R-flux for the IIB
theory. We show how these non-geometric fluxes can be understood geometrically
and give some examples of how they fluxes can be generated by acting with
dualities on solutions with geometric or field-strength flux.
| [
{
"created": "Mon, 1 Dec 2014 20:31:08 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 2015 16:41:47 GMT",
"version": "v2"
}
] | 2015-12-11 | [
[
"Blair",
"Chris D. A.",
""
],
[
"Malek",
"Emanuel",
""
]
] | We use a geometric approach to construct a flux formulation for the SL(5) U-duality manifest exceptional field theory. The resulting formalism is well-suited for studying gauged supergravities with geometric and non-geometric fluxes. Here we describe all such fluxes for both M-theory and IIB supergravity including the Ramond-Ramond fields for compactifications to seven dimensions. We define the locally non-geometric "R-flux" and globally non-geometric "Q-flux" for M-theory and find a new locally non-geometric R-flux for the IIB theory. We show how these non-geometric fluxes can be understood geometrically and give some examples of how they fluxes can be generated by acting with dualities on solutions with geometric or field-strength flux. |
hep-th/9711119 | Christian Grosche | C.Grosche | Alternative Solution of the Path Integral for the Radial Coulomb Problem | 7 pages, Latex | Phys.Scripta 57 (1998) 609-611 | 10.1088/0031-8949/57/6/001 | DESY 97-221, November 1997 | hep-th | null | In this Letter I present an alternative solution of the path integral for the
radial Coulomb problem which is based on a two-dimensional singular version of
the Levi-Civita transformation.
| [
{
"created": "Mon, 17 Nov 1997 12:10:13 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Grosche",
"C.",
""
]
] | In this Letter I present an alternative solution of the path integral for the radial Coulomb problem which is based on a two-dimensional singular version of the Levi-Civita transformation. |
1206.1075 | Korkut Bardakci | Korkut Bardakci | Covariant And Local Field Theory On The World Sheet | 22 pages,3 figures, typos and eqs.(11) and (63) are corrected | null | 10.1007/JHEP07(2012)179 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In earlier work, using the light cone picture, a world sheet field theory
that sums planar phi^3 graphs was constructed and developed. Since this theory
is both non-local and not explicitly Lorentz invariant, it is desirable to have
a covariant and local alternative. In this paper, we construct such a covariant
and local world sheet theory, and show that it is equivalent to the original
non-covariant version.
| [
{
"created": "Tue, 5 Jun 2012 21:28:56 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2012 20:46:15 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2012 18:17:31 GMT",
"version": "v3"
}
] | 2017-08-23 | [
[
"Bardakci",
"Korkut",
""
]
] | In earlier work, using the light cone picture, a world sheet field theory that sums planar phi^3 graphs was constructed and developed. Since this theory is both non-local and not explicitly Lorentz invariant, it is desirable to have a covariant and local alternative. In this paper, we construct such a covariant and local world sheet theory, and show that it is equivalent to the original non-covariant version. |
hep-th/9903084 | Ferrari Franco | F. Ferrari (U. of Trento) and I. Lazzizzera (U. of Trento) | Toward a Field Theoretical Description of Topologically Linked Polymers | 15 pages, 4 eps figures, revtex + psfig | null | null | null | hep-th cond-mat | null | In this work a field theoretical model is constructed to describe the
statistical mechanics of an arbitrary number of topologically linked polymers
in the context of the analytical approach of Edwards. As an application, the
effects of the topological interactions are studied in the one loop
approximation. A natural way to include in the treatment also more
sophisticated link invariants than the Gauss linking number is outlined.
| [
{
"created": "Wed, 10 Mar 1999 13:53:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ferrari",
"F.",
"",
"U. of Trento"
],
[
"Lazzizzera",
"I.",
"",
"U. of Trento"
]
] | In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. As an application, the effects of the topological interactions are studied in the one loop approximation. A natural way to include in the treatment also more sophisticated link invariants than the Gauss linking number is outlined. |
2209.03328 | Puttarak Jai-Akson | Laurent Freidel, Puttarak Jai-akson | Carrollian hydrodynamics from symmetries | 25 pages+appendices, 1 figure | null | 10.1088/1361-6382/acb194 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian
hydrodynamics which has recently gained increasing attentions due to its
underlying connection with dynamics of spacetime near null boundaries, and we
aim at exploring symmetries associated with conservation laws of Carrollian
fluids. With an elaborate construction of Carroll geometries, we generalize the
Randers-Papapetrou metric by incorporating the fluid velocity field and the
sub-leading components of the metric into our considerations and we argue that
these two additional fields are compulsory phase space variables in the
derivation of Carrollian hydrodynamics from symmetries. We then present a new
notion of symmetry, called the near-Carrollian diffeomorphism, and demonstrate
that this symmetry consistently yields a complete set of Carrollian
hydrodynamic equations. Furthermore, due to the presence of the new phase space
fields, our results thus generalize those already presented in the previous
literatures. Lastly, the Noether charges associated with the near-Carrollian
diffeomorphism and their time evolutions are also discussed.
| [
{
"created": "Wed, 7 Sep 2022 17:37:59 GMT",
"version": "v1"
}
] | 2023-02-22 | [
[
"Freidel",
"Laurent",
""
],
[
"Jai-akson",
"Puttarak",
""
]
] | In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics of spacetime near null boundaries, and we aim at exploring symmetries associated with conservation laws of Carrollian fluids. With an elaborate construction of Carroll geometries, we generalize the Randers-Papapetrou metric by incorporating the fluid velocity field and the sub-leading components of the metric into our considerations and we argue that these two additional fields are compulsory phase space variables in the derivation of Carrollian hydrodynamics from symmetries. We then present a new notion of symmetry, called the near-Carrollian diffeomorphism, and demonstrate that this symmetry consistently yields a complete set of Carrollian hydrodynamic equations. Furthermore, due to the presence of the new phase space fields, our results thus generalize those already presented in the previous literatures. Lastly, the Noether charges associated with the near-Carrollian diffeomorphism and their time evolutions are also discussed. |
0812.2401 | Nele Vandersickel | D. Dudal, S.P. Sorella, N. Vandersickel, H. Verschelde | A purely algebraic construction of a gauge and renormalization group
invariant scalar glueball operator | 17 pages | Eur.Phys.J.C64:147-159,2009 | 10.1140/epjc/s10052-009-1139-3 | MIT-CTP 4004 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents a complete algebraic proof of the renormalizability of
the gauge invariant $d=4$ operator $F_{\mu\nu}^2(x)$ to all orders of
perturbation theory in pure Yang-Mills gauge theory, whereby working in the
Landau gauge. This renormalization is far from being trivial as mixing occurs
with other $d=4$ gauge variant operators, which we identify explicitly. We
determine the mixing matrix $Z$ to all orders in perturbation theory by using
only algebraic arguments and consequently we can uncover a renormalization
group invariant by using the anomalous dimension matrix $\Gamma$ derived from
$Z$. We also present a future plan for calculating the mass of the lightest
scalar glueball with the help of the framework we have set up.
| [
{
"created": "Fri, 12 Dec 2008 15:38:42 GMT",
"version": "v1"
}
] | 2009-11-05 | [
[
"Dudal",
"D.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Vandersickel",
"N.",
""
],
[
"Verschelde",
"H.",
""
]
] | This paper presents a complete algebraic proof of the renormalizability of the gauge invariant $d=4$ operator $F_{\mu\nu}^2(x)$ to all orders of perturbation theory in pure Yang-Mills gauge theory, whereby working in the Landau gauge. This renormalization is far from being trivial as mixing occurs with other $d=4$ gauge variant operators, which we identify explicitly. We determine the mixing matrix $Z$ to all orders in perturbation theory by using only algebraic arguments and consequently we can uncover a renormalization group invariant by using the anomalous dimension matrix $\Gamma$ derived from $Z$. We also present a future plan for calculating the mass of the lightest scalar glueball with the help of the framework we have set up. |
2404.11915 | Dine Ousmane Samary | Vincent Lahoche, Dine Ousmane Samary | Functional renormalization group for p=2 like glassy matrices in the
planar approximation: III. Equilibrium dynamics and beyond | 37 pages, 6 figures | Nucl. Phys. B 1006 (2024) 116656 | 10.1016/j.nuclphysb.2024.116656 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is the last of the series investigating renormalization group
aspects of stochastic random matrices, including a Wigner-like disorder. We
consider the equilibrium dynamics formalism that can be merged with the Ward
identities arising from the large N effective kinetics. We construct a
regulator that does not break time-reversal symmetry and show that the
resulting flow equations reduce to the equilibrium flow built in our previous
works. Finally, we investigate the flow equations beyond the equilibrium
dynamics assumption and study the stability of the perturbation around the
fluctuation-dissipation theorem.
| [
{
"created": "Thu, 18 Apr 2024 05:41:47 GMT",
"version": "v1"
}
] | 2024-08-15 | [
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
]
] | This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities arising from the large N effective kinetics. We construct a regulator that does not break time-reversal symmetry and show that the resulting flow equations reduce to the equilibrium flow built in our previous works. Finally, we investigate the flow equations beyond the equilibrium dynamics assumption and study the stability of the perturbation around the fluctuation-dissipation theorem. |
1810.06123 | Bobby Eka Gunara | Bobby E. Gunara, Fiki T. Akbar, Rizqi Fadli, Deden M. Akbar, and Hadi
Susanto | Static Black Holes in Higher Dimensional Einstein-Skyrme Models | 36 pages, no figure, Adv Theor Math Phys format | Adv Theor Math Phys 25 (2021) 507 | 10.4310/ATMP.2021.v25.n2.a5 10.4310/ATMP.2021.v25.n2.a5
10.4310/ATMP.2021.v25.n2.a5 10.4310/ATMP.2021.v25.n2.a5 | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this paper we construct a class of hairy static black holes of higher
dimensional Einstein-Skyrme theories with the cosmological constant $\Lambda
\le 0$ whose scalar is an $SU(2)$ valued field. The spacetime is set to be
conformal to $ \mathcal{M}^4 \times \mathcal{N}^{N-4}$ where $\mathcal{M}^4$
and $\mathcal{N}^{N-4}$ are a four dimensional spacetime and a compact Einstein
$(N-4)$-dimensional submanifold for $N \ge 5$, respectively, whereas $N=4$ is
the trivial case. We discuss the behavior of solutions near the boundaries,
namely, near the (event) horizon and in the asymptotic region. Then, we
establish local-global existence of black hole solutions and show that black
holes with finite energy exist if their geometries are asymptotically
Ricci-flat. At the end, we perform a linear stability analysis using
perturbative method and give a remark about their stability.
| [
{
"created": "Sun, 14 Oct 2018 23:07:34 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Mar 2020 08:44:01 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jul 2021 05:15:06 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Feb 2022 04:33:14 GMT",
"version": "v4"
}
] | 2022-02-21 | [
[
"Gunara",
"Bobby E.",
""
],
[
"Akbar",
"Fiki T.",
""
],
[
"Fadli",
"Rizqi",
""
],
[
"Akbar",
"Deden M.",
""
],
[
"Susanto",
"Hadi",
""
]
] | In this paper we construct a class of hairy static black holes of higher dimensional Einstein-Skyrme theories with the cosmological constant $\Lambda \le 0$ whose scalar is an $SU(2)$ valued field. The spacetime is set to be conformal to $ \mathcal{M}^4 \times \mathcal{N}^{N-4}$ where $\mathcal{M}^4$ and $\mathcal{N}^{N-4}$ are a four dimensional spacetime and a compact Einstein $(N-4)$-dimensional submanifold for $N \ge 5$, respectively, whereas $N=4$ is the trivial case. We discuss the behavior of solutions near the boundaries, namely, near the (event) horizon and in the asymptotic region. Then, we establish local-global existence of black hole solutions and show that black holes with finite energy exist if their geometries are asymptotically Ricci-flat. At the end, we perform a linear stability analysis using perturbative method and give a remark about their stability. |
2401.09533 | Marco Scalisi | Marco Scalisi | Species Scale and Primordial Gravitational Waves | 6 pages, 1 figure | null | null | MPP-2024-7 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The species scale is a field-dependent UV cut-off for any effective field
theory weakly coupled to gravity. In this letter we show that, in the context
of inflationary cosmology, a detection of primordial gravitational waves will
set an upper bound on the decay rate $|\Lambda'_s/\Lambda_s|$ of the species
scale. Specifically, we derive this in terms of the tensor-to-scalar ratio $r$
of power spectra of primordial perturbations. Given the targets of current and
next generation experiments, we show that any successful detection would
signify that this upper limit is of the order of unity, which is consistent
with recent discussions in the literature.
| [
{
"created": "Wed, 17 Jan 2024 19:00:01 GMT",
"version": "v1"
}
] | 2024-01-19 | [
[
"Scalisi",
"Marco",
""
]
] | The species scale is a field-dependent UV cut-off for any effective field theory weakly coupled to gravity. In this letter we show that, in the context of inflationary cosmology, a detection of primordial gravitational waves will set an upper bound on the decay rate $|\Lambda'_s/\Lambda_s|$ of the species scale. Specifically, we derive this in terms of the tensor-to-scalar ratio $r$ of power spectra of primordial perturbations. Given the targets of current and next generation experiments, we show that any successful detection would signify that this upper limit is of the order of unity, which is consistent with recent discussions in the literature. |
hep-th/0505093 | Piotr Stachura | Piotr Stachura | Towards a topological (dual of) quantum $\kappa$-Poincar\'{e} group | Latex, 22 pages, uspackage: pstricks,pst-plot | Rept.Math.Phys. 57 (2006) 233-256 | 10.1016/S0034-4877(06)80019-4 | null | hep-th math.QA | null | We argue that the $\kappa$-deformation is related to a factorization of a Lie
group, therefore {\em an approproate version of $\kappa$-Poincar\'{e} does
exist on the $C^*$-algebraic level}. The explict form of this factorization is
computed that leads to an ``action'' of the Lorentz group (with space
reflections) considered in Doubly Special Relativity theory. The orbit
structure is found and ``the momentum manifold'' is extended in a way that
removes singularities of the ``action'' and results in a true action. Some
global properties of this manifold are investigated
| [
{
"created": "Wed, 11 May 2005 14:32:11 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Stachura",
"Piotr",
""
]
] | We argue that the $\kappa$-deformation is related to a factorization of a Lie group, therefore {\em an approproate version of $\kappa$-Poincar\'{e} does exist on the $C^*$-algebraic level}. The explict form of this factorization is computed that leads to an ``action'' of the Lorentz group (with space reflections) considered in Doubly Special Relativity theory. The orbit structure is found and ``the momentum manifold'' is extended in a way that removes singularities of the ``action'' and results in a true action. Some global properties of this manifold are investigated |
1807.07677 | Shanming Ruan | Minyong Guo, Juan Hernandez, Robert C. Myers and Shan-Ming Ruan | Circuit Complexity for Coherent States | 68 pages, 10 figures; v2, published version, added references | JHEP10(2018)011 | 10.1007/JHEP10(2018)011 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the circuit complexity of coherent states in a free scalar field
theory, applying Nielsen's geometric approach as in [1]. The complexity of the
coherent states have the same UV divergences as the vacuum state complexity and
so we consider the finite increase of the complexity of these states over the
vacuum state. One observation is that generally, the optimal circuits introduce
entanglement between the normal modes at intermediate stages even though our
reference state and target states are not entangled in this basis. We also
compare our results from Nielsen's approach with those found using the
Fubini-Study method of [2]. For general coherent states, we find that the
complexities, as well as the optimal circuits, derived from these two
approaches, are different.
| [
{
"created": "Fri, 20 Jul 2018 00:56:42 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2018 18:22:09 GMT",
"version": "v2"
}
] | 2018-10-10 | [
[
"Guo",
"Minyong",
""
],
[
"Hernandez",
"Juan",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Ruan",
"Shan-Ming",
""
]
] | We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen's geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we consider the finite increase of the complexity of these states over the vacuum state. One observation is that generally, the optimal circuits introduce entanglement between the normal modes at intermediate stages even though our reference state and target states are not entangled in this basis. We also compare our results from Nielsen's approach with those found using the Fubini-Study method of [2]. For general coherent states, we find that the complexities, as well as the optimal circuits, derived from these two approaches, are different. |
hep-th/9911115 | Jose Daniel Edelstein | Jose D. Edelstein, Marta Gomez-Reino, Marcos Marino, Javier Mas | N=2 supersymmetric gauge theories with massive hypermultiplets and the
Whitham hierarchy | 37 pages, LaTeX2e, no figures; references added | Nucl.Phys. B574 (2000) 587-619 | 10.1016/S0550-3213(00)00034-1 | US-FT/22-99, YCTP-P32-99 | hep-th | null | We embed the Seiberg-Witten solution for the low energy dynamics of N=2 super
Yang-Mills theory with an even number of massive hypermultiplets into the
Whitham hierarchy. Expressions for the first and second derivatives of the
prepotential in terms of the Riemann theta function are provided which extend
previous results obtained by Gorsky, Marshakov, Mironov and Morozov. Checks in
favour of the new equations involve both their behaviour under duality
transformations and the consistency of their semiclassical expansions.
| [
{
"created": "Wed, 17 Nov 1999 00:08:45 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Nov 1999 16:42:00 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Edelstein",
"Jose D.",
""
],
[
"Gomez-Reino",
"Marta",
""
],
[
"Marino",
"Marcos",
""
],
[
"Mas",
"Javier",
""
]
] | We embed the Seiberg-Witten solution for the low energy dynamics of N=2 super Yang-Mills theory with an even number of massive hypermultiplets into the Whitham hierarchy. Expressions for the first and second derivatives of the prepotential in terms of the Riemann theta function are provided which extend previous results obtained by Gorsky, Marshakov, Mironov and Morozov. Checks in favour of the new equations involve both their behaviour under duality transformations and the consistency of their semiclassical expansions. |
hep-th/9811005 | Julian Lee | Seungjoon Hyun, Won Tae Kim and Julian Lee | Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes | 10 pages, revtex, Technical errors corrected, which now enables us to
identify all the local terms in the effective action. More up to date than
the published version | Phys.Rev. D59 (1999) 084020 | 10.1103/PhysRevD.59.084020 | KIAS-P98005, SOGANG-HEP 246/98 | hep-th | null | We study AdS/CFT correspondence in the case of AdS3. We obtain the
statistical entropy of the BTZ black hole in terms of the correct central
charge and the conformal dimensions for the states corresponding to the BTZ
black hole. We point out the difference between our method and the old
fashioned approaches based on SL(2,R) Wess-Zumino-Witten model or Liouville
theory.
| [
{
"created": "Sun, 1 Nov 1998 23:25:26 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 1998 12:03:49 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Mar 1999 08:49:51 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Kim",
"Won Tae",
""
],
[
"Lee",
"Julian",
""
]
] | We study AdS/CFT correspondence in the case of AdS3. We obtain the statistical entropy of the BTZ black hole in terms of the correct central charge and the conformal dimensions for the states corresponding to the BTZ black hole. We point out the difference between our method and the old fashioned approaches based on SL(2,R) Wess-Zumino-Witten model or Liouville theory. |
hep-th/0608036 | Stefan Forste | Stefan Forste | Gauging Flavour in Meta-Stable Susy Breaking Models | 11 pages, v3: factor in matching relation fixed | Phys.Lett.B642:142-146,2006 | 10.1016/j.physletb.2006.09.026 | IPPP/06/57, DCPT/06/114 | hep-th hep-ph | null | We modify the first ISS model (hep-th/0602239) by gauging a diagonal flavour
symmetry. We add additional multiplets transforming as fundamentals and
anti-fundamentals under the gauged flavour group. Their number is chosen such
that the microscopic theory is asymptotically free whereas in the Seiberg dual
(w.r.t. the colour group) it changes to an infrared free theory. Non
perturbative effects within the flavour group can correct the location of the
supersymmetric vacuum. Statements about meta-stability of the susy breaking
vacuum would require a two loop calculation. For general couplings, the
question whether gauging flavour destabilises susy breaking remains open.
| [
{
"created": "Fri, 4 Aug 2006 16:41:09 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Aug 2006 19:22:09 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Aug 2006 15:42:56 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Forste",
"Stefan",
""
]
] | We modify the first ISS model (hep-th/0602239) by gauging a diagonal flavour symmetry. We add additional multiplets transforming as fundamentals and anti-fundamentals under the gauged flavour group. Their number is chosen such that the microscopic theory is asymptotically free whereas in the Seiberg dual (w.r.t. the colour group) it changes to an infrared free theory. Non perturbative effects within the flavour group can correct the location of the supersymmetric vacuum. Statements about meta-stability of the susy breaking vacuum would require a two loop calculation. For general couplings, the question whether gauging flavour destabilises susy breaking remains open. |
hep-th/0407061 | Mikhail Voloshin | M.B. Voloshin | The rate of metastable vacuum decay in (2+1) dimensions | 10 pages | Phys.Lett. B599 (2004) 129-135 | 10.1016/j.physletb.2004.08.030 | FTPI-MINN-04/26, UMN-TH-2314-04 | hep-th | null | The pre-exponential factor in the probability of decay of a metastable vacuum
is calculated for a generic (2+1) dimensional model in the limit of small
difference $\epsilon$ of the energy density between the metastable and the
stable vacua. It is shown that this factor is proportional to $\epsilon^{-7/3}$
and that the power does not depend on details of the underlying field theory.
The calculation is done by using the effective Lagrangian method for the
relevant soft (Goldstone) degrees of freedom in the problem. Unlike in the
(1+1) dimensional case, where the decay rate is completely determined by the
parameters of the effective Lagrangian and is thus insensitive to the specific
details of the underlying (microscopic) theory, in the considered here (2+1)
dimensional case the pre-exponential factor is found up to a constant, which
does depend on specifics of the underlying short-distance dynamics, but does
not depend on the energy asymmetry parameter $\epsilon$. Thus the functional
dependence of the decay rate on $\epsilon$ is universally determined in the
considered limit of small $\epsilon$.
| [
{
"created": "Thu, 8 Jul 2004 15:25:06 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 2004 11:18:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Voloshin",
"M. B.",
""
]
] | The pre-exponential factor in the probability of decay of a metastable vacuum is calculated for a generic (2+1) dimensional model in the limit of small difference $\epsilon$ of the energy density between the metastable and the stable vacua. It is shown that this factor is proportional to $\epsilon^{-7/3}$ and that the power does not depend on details of the underlying field theory. The calculation is done by using the effective Lagrangian method for the relevant soft (Goldstone) degrees of freedom in the problem. Unlike in the (1+1) dimensional case, where the decay rate is completely determined by the parameters of the effective Lagrangian and is thus insensitive to the specific details of the underlying (microscopic) theory, in the considered here (2+1) dimensional case the pre-exponential factor is found up to a constant, which does depend on specifics of the underlying short-distance dynamics, but does not depend on the energy asymmetry parameter $\epsilon$. Thus the functional dependence of the decay rate on $\epsilon$ is universally determined in the considered limit of small $\epsilon$. |
2002.02037 | Mohamed Anber | Mohamed M. Anber, Erich Poppitz | Generalized 't Hooft anomalies on non-spin manifolds | 27 pages; minor corrections, references added, matches the published
version | null | 10.1007/JHEP04(2020)097 | null | hep-th cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the mixed anomaly between the discrete chiral symmetry and general
baryon-color-flavor (BCF) backgrounds in $SU(N_c)$ gauge theories with $N_f$
flavors of Dirac fermions in representations ${\cal R}_c$ of $N$-ality $n_c$,
formulated on non-spin manifolds. We show how to study these theories on
$\mathbb{CP}^2$ by turning on general BCF fluxes consistent with the fermion
transition functions. We consider several examples in detail and argue that
matching the anomaly on non-spin manifolds places stronger constraints on the
infrared physics, compared to the ones on spin manifolds (e.g.~$\mathbb{T}^4$).
We also show how to consistently formulate various chiral gauge theories on
non-spin manifolds.
| [
{
"created": "Wed, 5 Feb 2020 23:24:39 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 2020 16:15:05 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Poppitz",
"Erich",
""
]
] | We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in $SU(N_c)$ gauge theories with $N_f$ flavors of Dirac fermions in representations ${\cal R}_c$ of $N$-ality $n_c$, formulated on non-spin manifolds. We show how to study these theories on $\mathbb{CP}^2$ by turning on general BCF fluxes consistent with the fermion transition functions. We consider several examples in detail and argue that matching the anomaly on non-spin manifolds places stronger constraints on the infrared physics, compared to the ones on spin manifolds (e.g.~$\mathbb{T}^4$). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds. |
1310.5878 | Simon F. Ross | Yang Lei, Simon F. Ross | Extending the nonsingular hyperscaling violating spacetimes | 25 pages, 1 figure, v2: references added | null | 10.1088/0264-9381/31/3/035007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lifshitz and hyperscaling violating geometries, which provide a holographic
description of non-relativistic field theories, generically have a singularity
in the infrared region of the geometry, where tidal forces for freely falling
observers diverge, but there is a special class of hyperscaling violating
geometries where this tidal force divergence does not occur. We explicitly
construct a smooth extension of the spacetime in this case, and explore the
structure of the spacetime. We find that the spacetime has two disconnected
boundaries, as in AdS$_2$. We also consider the behaviour of finite-energy
excitations of the spacetime at the horizon, arguing that they will have some
divergence there.
| [
{
"created": "Tue, 22 Oct 2013 11:13:44 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2013 15:23:59 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Lei",
"Yang",
""
],
[
"Ross",
"Simon F.",
""
]
] | Lifshitz and hyperscaling violating geometries, which provide a holographic description of non-relativistic field theories, generically have a singularity in the infrared region of the geometry, where tidal forces for freely falling observers diverge, but there is a special class of hyperscaling violating geometries where this tidal force divergence does not occur. We explicitly construct a smooth extension of the spacetime in this case, and explore the structure of the spacetime. We find that the spacetime has two disconnected boundaries, as in AdS$_2$. We also consider the behaviour of finite-energy excitations of the spacetime at the horizon, arguing that they will have some divergence there. |
hep-th/9705045 | Francesco Antonuccio | F.Antonuccio | Light-Cone Quantization and Renormalization of Large-N Scalar Matrix
Models | 14 pages, LaTeX | null | null | MPIH-V?-1997 | hep-th | null | We discuss the issue of renormalization and the derivation of effective
interactions for light-cone Hamiltonians in the context of large-N scalar
matrix models with $\Phi^3$ interactions. For various space-time dimensions $D
\geq 3$, we deduce appropriate mass, coupling constant, and wavefunction
renormalizations which are necessary for finiteness of the Hamiltonian at
leading order. We also outline how higher order corrections may be derived
within this framework, and discuss the relevance of this approach in the
light-cone quantization of gauge theories.
| [
{
"created": "Wed, 7 May 1997 22:18:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Antonuccio",
"F.",
""
]
] | We discuss the issue of renormalization and the derivation of effective interactions for light-cone Hamiltonians in the context of large-N scalar matrix models with $\Phi^3$ interactions. For various space-time dimensions $D \geq 3$, we deduce appropriate mass, coupling constant, and wavefunction renormalizations which are necessary for finiteness of the Hamiltonian at leading order. We also outline how higher order corrections may be derived within this framework, and discuss the relevance of this approach in the light-cone quantization of gauge theories. |
0912.3021 | Allen Stern | Allen Stern | Emergent Abelian Gauge Fields from Noncommutative Gravity | null | SIGMA 6 (2010), 019, 15 pages | 10.3842/SIGMA.2010.019 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We construct exact solutions to noncommutative gravity following the
formulation of Chamseddine and show that they are in general accompanied by
Abelian gauge fields which are first order in the noncommutative scale. This
provides a mechanism for generating cosmological electromagnetic fields in an
expanding space-time background, and also leads to multipole-like fields
surrounding black holes. Exact solutions to noncommutative Einstein-Maxwell
theory can give rise to first order corrections to the metric tensor, as well
as to the electromagnetic fields. This leads to first order shifts in the
horizons of charged black holes.
| [
{
"created": "Tue, 15 Dec 2009 22:22:46 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Dec 2009 23:03:17 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Feb 2010 05:43:41 GMT",
"version": "v3"
}
] | 2010-02-18 | [
[
"Stern",
"Allen",
""
]
] | We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an expanding space-time background, and also leads to multipole-like fields surrounding black holes. Exact solutions to noncommutative Einstein-Maxwell theory can give rise to first order corrections to the metric tensor, as well as to the electromagnetic fields. This leads to first order shifts in the horizons of charged black holes. |
1810.08182 | Timm Wrase | Arthur Hebecker and Timm Wrase | The asymptotic dS Swampland Conjecture - a simplified derivation and a
potential loophole | 8 pages; v2: referencing and discussion improved; v3: slightly
extended version | Fortsch.Phys. 2018 1800097 | 10.1002/prop.201800097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, arguments for a refined de Sitter conjecture were put forward in
arXiv:1810.05506. Using the large distance conjecture of arXiv:hep-th/0605264,
the authors provide evidence for this dS conjecture in asymptotic regimes of
field space, where the parametric control of string theory becomes arbitrarily
good. Their main tool is Bousso's covariant entropy bound arXiv:hep-th/9905177.
Here, we present a simpler way to reach a similar conclusion. The argument is
based on the fact that the cutoff of an effective theory with gravity decreases
as the number of species grows. We then discuss a loophole in this argument and
its possible counterpart in the assumptions underlying the entropy-based
derivation. The idea is to consider potentials which, while they remain below
an exponentially falling bound, have small oscillations leading locally to
relatively flat regions or even to an infinite series of dS minima.
| [
{
"created": "Thu, 18 Oct 2018 17:43:51 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Oct 2018 19:28:43 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Nov 2018 20:27:14 GMT",
"version": "v3"
}
] | 2018-12-04 | [
[
"Hebecker",
"Arthur",
""
],
[
"Wrase",
"Timm",
""
]
] | Recently, arguments for a refined de Sitter conjecture were put forward in arXiv:1810.05506. Using the large distance conjecture of arXiv:hep-th/0605264, the authors provide evidence for this dS conjecture in asymptotic regimes of field space, where the parametric control of string theory becomes arbitrarily good. Their main tool is Bousso's covariant entropy bound arXiv:hep-th/9905177. Here, we present a simpler way to reach a similar conclusion. The argument is based on the fact that the cutoff of an effective theory with gravity decreases as the number of species grows. We then discuss a loophole in this argument and its possible counterpart in the assumptions underlying the entropy-based derivation. The idea is to consider potentials which, while they remain below an exponentially falling bound, have small oscillations leading locally to relatively flat regions or even to an infinite series of dS minima. |
hep-th/9604084 | : | R. Brustein, M. Gasperini and G. Veneziano | Peak and end point of the relic graviton background in string cosmology | 11 pages, LATEX, one figure included using eps. A complete collection
of papers and references on the pre-big-bang scenario in string cosmology is
available at http://www.to.infn.it/teorici/gasperini/ | Phys.Rev.D55:3882-3885,1997 | 10.1103/PhysRevD.55.3882 | CERN-TH/96-37 | hep-th astro-ph gr-qc hep-ph | null | Using general arguments we determine the allowed region for the end point
frequency and the peak energy density of the stochastic background of gravity
waves expected in string cosmology. We provide an accurate estimate of the
minimal experimental sensitivity required to detect a signal in the Hz to GHz
range.
| [
{
"created": "Tue, 16 Apr 1996 08:12:03 GMT",
"version": "v1"
}
] | 2011-09-09 | [
[
"Brustein",
"R.",
""
],
[
"Gasperini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] | Using general arguments we determine the allowed region for the end point frequency and the peak energy density of the stochastic background of gravity waves expected in string cosmology. We provide an accurate estimate of the minimal experimental sensitivity required to detect a signal in the Hz to GHz range. |
hep-th/9801181 | null | Jnanadeva Maharana | Hidden Symmetries of M Theory | 17 pages, revtex, no figures | Phys.Lett. B427 (1998) 33-40 | 10.1016/S0370-2693(98)00316-5 | CERN-TH/98-30 | hep-th | null | A worldvolume action for membrane is considered to study the target space
local symmetries. We introduce a set of generators of canonical transformations
to exhibit the target space symmetries such as the general coordinate
transformation and the gauge transformation of antisymmetric tensor field.
Similar results are derived for type IIB string with manifestly
S-duality-invariant worldsheet action.
| [
{
"created": "Tue, 27 Jan 1998 18:05:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Maharana",
"Jnanadeva",
""
]
] | A worldvolume action for membrane is considered to study the target space local symmetries. We introduce a set of generators of canonical transformations to exhibit the target space symmetries such as the general coordinate transformation and the gauge transformation of antisymmetric tensor field. Similar results are derived for type IIB string with manifestly S-duality-invariant worldsheet action. |
2106.16111 | Akshay Yelleshpur Srikant | Yangrui Hu, Lecheng Ren, Akshay Yelleshpur Srikant, Anastasia Volovich | Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential
Equations | null | null | 10.1007/JHEP12(2021)171 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Celestial and momentum space amplitudes for massless particles are related to
each other by a change of basis provided by the Mellin transform. Therefore
properties of celestial amplitudes have counterparts in momentum space
amplitudes and vice versa. In this paper, we study the celestial avatar of dual
superconformal symmetry of $\mathcal{N}=4$ Yang-Mills theory. We also analyze
various differential equations known to be satisfied by celestial $n$-point
tree-level MHV amplitudes and identify their momentum space origins.
| [
{
"created": "Wed, 30 Jun 2021 15:06:52 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Hu",
"Yangrui",
""
],
[
"Ren",
"Lecheng",
""
],
[
"Srikant",
"Akshay Yelleshpur",
""
],
[
"Volovich",
"Anastasia",
""
]
] | Celestial and momentum space amplitudes for massless particles are related to each other by a change of basis provided by the Mellin transform. Therefore properties of celestial amplitudes have counterparts in momentum space amplitudes and vice versa. In this paper, we study the celestial avatar of dual superconformal symmetry of $\mathcal{N}=4$ Yang-Mills theory. We also analyze various differential equations known to be satisfied by celestial $n$-point tree-level MHV amplitudes and identify their momentum space origins. |
2004.05760 | Hiroaki Kanno | Hiroaki Kanno | Quiver matrix model of ADHM type and BPS state counting in diverse
dimensions | 22 pages, (v2) typos corrected, submitted to the special issue of
PTEP dedicated to Tohru Eguchi | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the problem of BPS state counting described by the generalized
quiver matrix model of ADHM type. In four dimensions the generating function of
the counting gives the Nekrasov partition function and we obtain generalization
in higher dimensions. By the localization theorem, the partition function is
given by the sum of contributions from the fixed points of the torus action,
which are labeled by partitions, plane partitions and solid partitions. The
measure or the Boltzmann weight of the path integral can take the form of the
plethystic exponential. Remarkably after integration the partition function or
the vacuum expectation value is again expressed in plethystic form. We regard
it as a characteristic property of the BPS state counting problem, which is
closely related to the integrability.
| [
{
"created": "Mon, 13 Apr 2020 03:56:40 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2020 05:35:59 GMT",
"version": "v2"
}
] | 2020-05-05 | [
[
"Kanno",
"Hiroaki",
""
]
] | We review the problem of BPS state counting described by the generalized quiver matrix model of ADHM type. In four dimensions the generating function of the counting gives the Nekrasov partition function and we obtain generalization in higher dimensions. By the localization theorem, the partition function is given by the sum of contributions from the fixed points of the torus action, which are labeled by partitions, plane partitions and solid partitions. The measure or the Boltzmann weight of the path integral can take the form of the plethystic exponential. Remarkably after integration the partition function or the vacuum expectation value is again expressed in plethystic form. We regard it as a characteristic property of the BPS state counting problem, which is closely related to the integrability. |
0811.3332 | Yi Wang | Miao Li, Xiao-Dong Li, Chunshan Lin, Yi Wang | Holographic Gas as Dark Energy | 13 pages | Commun.Theor.Phys.51:181-186,2009 | 10.1088/0253-6102/51/1/35 | USTC-ICTS-08-22 | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the statistical nature of holographic gas, which may represent
the quasi-particle excitations of a strongly correlated gravitational system.
We find that the holographic entropy can be obtained by modifying degeneracy.
We calculate thermodynamical quantities and investigate stability of the
holographic gas. When applying to cosmology, we find that the holographic gas
behaves as holographic dark energy, and the parameter $c$ in holographic dark
energy can be calculated from our model. Our model of holographic gas generally
predicts $c<1$, implying that the fate of our universe is phantom like.
| [
{
"created": "Thu, 20 Nov 2008 13:13:28 GMT",
"version": "v1"
}
] | 2009-03-12 | [
[
"Li",
"Miao",
""
],
[
"Li",
"Xiao-Dong",
""
],
[
"Lin",
"Chunshan",
""
],
[
"Wang",
"Yi",
""
]
] | We investigate the statistical nature of holographic gas, which may represent the quasi-particle excitations of a strongly correlated gravitational system. We find that the holographic entropy can be obtained by modifying degeneracy. We calculate thermodynamical quantities and investigate stability of the holographic gas. When applying to cosmology, we find that the holographic gas behaves as holographic dark energy, and the parameter $c$ in holographic dark energy can be calculated from our model. Our model of holographic gas generally predicts $c<1$, implying that the fate of our universe is phantom like. |
1401.5984 | Mahdi Godazgar | Hadi Godazgar, Mahdi Godazgar, Hermann Nicolai | Einstein-Cartan Calculus for Exceptional Geometry | 18 pages; v2: we have added some minor calculational details | null | 10.1007/JHEP06(2014)021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we establish and clarify the link between the recently found E7
generalised geometric structures, which are based on the SU(8) invariant
reformulation of D=11 supergravity proposed long ago, and newer results
obtained in the framework of recent approaches to generalised geometry, where
E7 duality is built in and manifest from the outset. In making this connection,
the so-called generalised vielbein postulate plays a key role. We explicitly
show how this postulate can be used to define an E7 valued affine connection
and an associated covariant derivative, which yields a generalised curvature
tensor for the E7 based exceptional geometry. The analysis of the generalised
vielbein postulate also provides a natural explanation for the emergence of the
embedding tensor from higher dimensions.
| [
{
"created": "Thu, 23 Jan 2014 14:28:09 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2014 13:38:31 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Godazgar",
"Hadi",
""
],
[
"Godazgar",
"Mahdi",
""
],
[
"Nicolai",
"Hermann",
""
]
] | In this paper we establish and clarify the link between the recently found E7 generalised geometric structures, which are based on the SU(8) invariant reformulation of D=11 supergravity proposed long ago, and newer results obtained in the framework of recent approaches to generalised geometry, where E7 duality is built in and manifest from the outset. In making this connection, the so-called generalised vielbein postulate plays a key role. We explicitly show how this postulate can be used to define an E7 valued affine connection and an associated covariant derivative, which yields a generalised curvature tensor for the E7 based exceptional geometry. The analysis of the generalised vielbein postulate also provides a natural explanation for the emergence of the embedding tensor from higher dimensions. |
1606.08444 | ChunJun Cao | ChunJun Cao, Sean M. Carroll, Spyridon Michalakis | Space from Hilbert Space: Recovering Geometry from Bulk Entanglement | 37 pages, 5 figures. Updated notation, references, and
acknowledgement | Phys. Rev. D 95, 024031 (2017) | 10.1103/PhysRevD.95.024031 | CALT 2016-15 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine how to construct a spatial manifold and its geometry from the
entanglement structure of an abstract quantum state in Hilbert space. Given a
decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors,
we consider a class of "redundancy-constrained states" in $\mathcal{H}$ that
generalize the area-law behavior for entanglement entropy usually found in
condensed-matter systems with gapped local Hamiltonians. Using mutual
information to define a distance measure on the graph, we employ classical
multidimensional scaling to extract the best-fit spatial dimensionality of the
emergent geometry. We then show that entanglement perturbations on such
emergent geometries naturally give rise to local modifications of spatial
curvature which obey a (spatial) analog of Einstein's equation. The Hilbert
space corresponding to a region of flat space is finite-dimensional and scales
as the volume, though the entropy (and the maximum change thereof) scales like
the area of the boundary. A version of the ER=EPR conjecture is recovered, in
that perturbations that entangle distant parts of the emergent geometry
generate a configuration that may be considered as a highly quantum wormhole.
| [
{
"created": "Mon, 27 Jun 2016 20:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2016 22:10:56 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Dec 2016 20:48:22 GMT",
"version": "v3"
}
] | 2017-02-01 | [
[
"Cao",
"ChunJun",
""
],
[
"Carroll",
"Sean M.",
""
],
[
"Michalakis",
"Spyridon",
""
]
] | We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors, we consider a class of "redundancy-constrained states" in $\mathcal{H}$ that generalize the area-law behavior for entanglement entropy usually found in condensed-matter systems with gapped local Hamiltonians. Using mutual information to define a distance measure on the graph, we employ classical multidimensional scaling to extract the best-fit spatial dimensionality of the emergent geometry. We then show that entanglement perturbations on such emergent geometries naturally give rise to local modifications of spatial curvature which obey a (spatial) analog of Einstein's equation. The Hilbert space corresponding to a region of flat space is finite-dimensional and scales as the volume, though the entropy (and the maximum change thereof) scales like the area of the boundary. A version of the ER=EPR conjecture is recovered, in that perturbations that entangle distant parts of the emergent geometry generate a configuration that may be considered as a highly quantum wormhole. |
hep-th/9409003 | J. Kubo | Jisuke Kubo, Myriam Mondragon, Nicholas D. Tracas and George Zoupanos | Gauge-Yukawa Unification in Asymptotically Non-free Theories | 15 pages, MPI-Ph/94-46, HD-THEP-94-33, NTUA.12/94, KANAZAWA-94-13 | Phys.Lett. B342 (1995) 155-162 | 10.1016/0370-2693(94)01396-T | null | hep-th | null | We study asymptotically non-free gauge theories and search for
renormalization group invariant
(i.e. technically natural) relations among the couplings which lead to
successful gauge-Yukawa unification. To be definite, we consider a
supersymmetric model based on $SU(4)\times SU(2)_{R}\times SU(2)_{L}$. It is
found that among the couplings of the model, which can be expressed in this way
by a single one in the lowest order approximation, are the tree gauge couplings
and the Yukawa coupling of the third generation. The corrections to the lowest
order results are computed, and we find that the predictions on the low energy
parameters resulting from those relations are in agreement with the
measurements at LEP and Tevatron for a certain range of supersymmetry breaking
scale.
| [
{
"created": "Thu, 1 Sep 1994 10:27:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kubo",
"Jisuke",
""
],
[
"Mondragon",
"Myriam",
""
],
[
"Tracas",
"Nicholas D.",
""
],
[
"Zoupanos",
"George",
""
]
] | We study asymptotically non-free gauge theories and search for renormalization group invariant (i.e. technically natural) relations among the couplings which lead to successful gauge-Yukawa unification. To be definite, we consider a supersymmetric model based on $SU(4)\times SU(2)_{R}\times SU(2)_{L}$. It is found that among the couplings of the model, which can be expressed in this way by a single one in the lowest order approximation, are the tree gauge couplings and the Yukawa coupling of the third generation. The corrections to the lowest order results are computed, and we find that the predictions on the low energy parameters resulting from those relations are in agreement with the measurements at LEP and Tevatron for a certain range of supersymmetry breaking scale. |
hep-th/0109214 | Amer Iqbal | Amer Iqbal and Amir-Kian Kashani-Poor | Discrete Symmetries of the Superpotential and Calculation of Disk
Invariants | 24 pages, references added | Adv.Theor.Math.Phys.5:651-678,2002 | null | UTTG-15-01 | hep-th | null | The integrality of Ooguri-Vafa disk invariants is verified using discrete
symmetries of the superpotential of the mirror Landau-Ginzburg theory to
calculate quantum corrections to the boundary variables. We show that these
quantum corrections are completely determined if we assume that the discrete
symmetry of the superpotential also holds in terms of the quantum corrected
variables. We discuss the case of local P^2 blown up at three points and local
F_2 blown up at two points in detail.
| [
{
"created": "Fri, 28 Sep 2001 18:35:57 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2001 19:13:20 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Iqbal",
"Amer",
""
],
[
"Kashani-Poor",
"Amir-Kian",
""
]
] | The integrality of Ooguri-Vafa disk invariants is verified using discrete symmetries of the superpotential of the mirror Landau-Ginzburg theory to calculate quantum corrections to the boundary variables. We show that these quantum corrections are completely determined if we assume that the discrete symmetry of the superpotential also holds in terms of the quantum corrected variables. We discuss the case of local P^2 blown up at three points and local F_2 blown up at two points in detail. |
hep-th/0603020 | Haruki Toyoda | Haruki Toyoda and Shigefumi Naka | q-Deformed Bi-Local Fields II | Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 2:031,2006 | 10.3842/SIGMA.2006.031 | null | hep-th math-ph math.MP | null | We study a way of $q$-deformation of the bi-local system, the two particle
system bounded by a relativistic harmonic oscillator type of potential, from
both points of view of mass spectra and the behavior of scattering amplitudes.
In our formulation, the deformation is done so that $P^2$, the square of center
of mass momentum, enters into the deformation parameters of relative
coordinates. As a result, the wave equation of the bi-local system becomes
nonlinear with respect to $P^2$; then, the propagator of the bi-local system
suffers significant change so as to get a convergent self energy to the second
order. The study is also made on the covariant $q$-deformation in four
dimensional spacetime.
| [
{
"created": "Thu, 2 Mar 2006 20:33:27 GMT",
"version": "v1"
}
] | 2008-12-19 | [
[
"Toyoda",
"Haruki",
""
],
[
"Naka",
"Shigefumi",
""
]
] | We study a way of $q$-deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of mass spectra and the behavior of scattering amplitudes. In our formulation, the deformation is done so that $P^2$, the square of center of mass momentum, enters into the deformation parameters of relative coordinates. As a result, the wave equation of the bi-local system becomes nonlinear with respect to $P^2$; then, the propagator of the bi-local system suffers significant change so as to get a convergent self energy to the second order. The study is also made on the covariant $q$-deformation in four dimensional spacetime. |
hep-th/9511223 | Ahmed Hindawi | Ahmed Hindawi, Burt A. Ovrut, Daniel Waldram | Four-Dimensional Higher-Derivative Supergravity and Spontaneous
Supersymmetry Breaking | 26 pages, LaTeX2e and AMS-LaTeX 1.2, 1 eps figure | Nucl.Phys. B476 (1996) 175-199 | 10.1016/0550-3213(96)00281-7 | UPR-685T | hep-th gr-qc | null | We construct two classes of higher-derivative supergravity theories
generalizing Einstein supergravity. We explore their dynamical content as well
as their vacuum structure. The first class is found to be equivalent to
Einstein supergravity coupled to a single chiral superfield. It has a unique
stable vacuum solution except in a special case, when it becomes identical to a
simple no-scale theory. The second class is found to be equivalent to Einstein
supergravity coupled to two chiral superfields and has a richer vacuum
structure. It is demonstrated that theories of the second class can possess a
stable vacuum with vanishing cosmological constant that spontaneously breaks
supersymmetry. We present an explicit example of this phenomenon and compare
the result with the Polonyi model.
| [
{
"created": "Thu, 30 Nov 1995 19:13:55 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Dec 1996 00:17:52 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Hindawi",
"Ahmed",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Waldram",
"Daniel",
""
]
] | We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity coupled to a single chiral superfield. It has a unique stable vacuum solution except in a special case, when it becomes identical to a simple no-scale theory. The second class is found to be equivalent to Einstein supergravity coupled to two chiral superfields and has a richer vacuum structure. It is demonstrated that theories of the second class can possess a stable vacuum with vanishing cosmological constant that spontaneously breaks supersymmetry. We present an explicit example of this phenomenon and compare the result with the Polonyi model. |
2312.06759 | Leonardo Giuliano Trombetta | Francesco Serra, Leonardo G. Trombetta | Five-point Superluminality Bounds | 6 pages. Published version | JHEP 06 (2024) 117 | 10.1007/JHEP06(2024)117 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate how the speed of propagation of physical excitations is
encoded in the coefficients of five-point interactions. This leads to a
superluminality bound on scalar five-point interactions, which we present here
for the first time. To substantiate our result, we also consider the case of
four-point interactions for which bounds from S-matrix sum rules exist and show
that these are parametrically equivalent to the bounds obtained within our
analysis. Finally, we extend the discussion to a class of higher-point
interactions.
| [
{
"created": "Mon, 11 Dec 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Dec 2023 21:12:41 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jun 2024 10:52:43 GMT",
"version": "v3"
}
] | 2024-06-24 | [
[
"Serra",
"Francesco",
""
],
[
"Trombetta",
"Leonardo G.",
""
]
] | We investigate how the speed of propagation of physical excitations is encoded in the coefficients of five-point interactions. This leads to a superluminality bound on scalar five-point interactions, which we present here for the first time. To substantiate our result, we also consider the case of four-point interactions for which bounds from S-matrix sum rules exist and show that these are parametrically equivalent to the bounds obtained within our analysis. Finally, we extend the discussion to a class of higher-point interactions. |
hep-th/9605091 | null | A.A. Tseytlin | Extremal black hole entropy from conformal string sigma model | 21 pages, harvmac (misprints corrected) | Nucl.Phys.B477:431-448,1996 | 10.1016/0550-3213(96)00383-5 | Imperial/TP/95-96/48 | hep-th | null | We present string-theory derivation of the semiclassical entropy of extremal
dyonic black holes in the approach based on conformal sigma model (NS-NS
embedding of the classical solution). We demonstrate (resolving some puzzles
existed in previous related discussions) that the degeneracy responsible for
the entropy is due to string oscillations in four transverse dimensions
`intrinsic' to black hole: four non-compact directions of the D=5 black hole
and three non-compact and one compact (responsible for embedding of magnetic
charges) dimensions in the D=4 black hole case. Oscillations in other compact
internal dimensions give subleading contributions to statistical entropy in the
limit when all charges are large. The dominant term in the statistical entropy
is thus universal (i.e. is the same in type II and heterotic string theory) and
agrees with Bekenstein-Hawking expression.
| [
{
"created": "Tue, 14 May 1996 03:20:29 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jul 1996 00:18:28 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
]
] | We present string-theory derivation of the semiclassical entropy of extremal dyonic black holes in the approach based on conformal sigma model (NS-NS embedding of the classical solution). We demonstrate (resolving some puzzles existed in previous related discussions) that the degeneracy responsible for the entropy is due to string oscillations in four transverse dimensions `intrinsic' to black hole: four non-compact directions of the D=5 black hole and three non-compact and one compact (responsible for embedding of magnetic charges) dimensions in the D=4 black hole case. Oscillations in other compact internal dimensions give subleading contributions to statistical entropy in the limit when all charges are large. The dominant term in the statistical entropy is thus universal (i.e. is the same in type II and heterotic string theory) and agrees with Bekenstein-Hawking expression. |
hep-th/9705161 | Jose M. Figueroa-O'Farrill | JM Figueroa-O'Farrill, C Koehl and B Spence | Supersymmetry and the cohomology of (hyper)Kaehler manifolds | 15 pages (LaTeX2e) (A factor has been corrected in one equation.) | Nucl.Phys. B503 (1997) 614-626 | 10.1016/S0550-3213(97)00548-8 | QMW-PH-97-10, NI97021 | hep-th alg-geom dg-ga math.AG math.DG | null | The cohomology of a compact Kaehler (resp. hyperKaehler) manifold admits the
action of the Lie algebra so(2,1) (resp. so(4,1)). In this paper we show,
following an idea of Witten, how this action follows from supersymmetry, in
particular from the symmetries of certain supersymmetric sigma models. In
addition, many of the fundamental identities in Hodge-Lefschetz theory are also
naturally derived from supersymmetry.
| [
{
"created": "Wed, 21 May 1997 16:53:54 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Aug 1997 16:33:29 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"Koehl",
"C",
""
],
[
"Spence",
"B",
""
]
] | The cohomology of a compact Kaehler (resp. hyperKaehler) manifold admits the action of the Lie algebra so(2,1) (resp. so(4,1)). In this paper we show, following an idea of Witten, how this action follows from supersymmetry, in particular from the symmetries of certain supersymmetric sigma models. In addition, many of the fundamental identities in Hodge-Lefschetz theory are also naturally derived from supersymmetry. |
1302.2181 | R Loll | J. Ambjorn, S. Jordan, J. Jurkiewicz and R. Loll | Quantum Spacetime, from a Practitioner's Point of View | 7 pages, 5 figures, submission to Multicosmofun '12, Szczecin | null | 10.1063/1.4791726 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that theories of quantum gravity constructed with the help of
(Causal) Dynamical Triangulations have given us the most informative,
quantitative models to date of quantum spacetime. Most importantly, these are
derived dynamically from nonperturbative and background-independent quantum
theories of geometry. In the physically relevant case of four spacetime
dimensions, the ansatz of Causal Dynamical Triangulations produces - from a
fairly minimal set of quantum field-theoretic inputs - an emergent spacetime
which macroscopically looks like a de Sitter universe, and on Planckian scales
possesses unexpected quantum properties. Important in deriving these results
are a regularized version of the theory, in which the quantum dynamics is well
defined, can be studied with the help of numerical Monte Carlo methods and
extrapolated to infinite lattice volumes.
| [
{
"created": "Sat, 9 Feb 2013 00:00:43 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Ambjorn",
"J.",
""
],
[
"Jordan",
"S.",
""
],
[
"Jurkiewicz",
"J.",
""
],
[
"Loll",
"R.",
""
]
] | We argue that theories of quantum gravity constructed with the help of (Causal) Dynamical Triangulations have given us the most informative, quantitative models to date of quantum spacetime. Most importantly, these are derived dynamically from nonperturbative and background-independent quantum theories of geometry. In the physically relevant case of four spacetime dimensions, the ansatz of Causal Dynamical Triangulations produces - from a fairly minimal set of quantum field-theoretic inputs - an emergent spacetime which macroscopically looks like a de Sitter universe, and on Planckian scales possesses unexpected quantum properties. Important in deriving these results are a regularized version of the theory, in which the quantum dynamics is well defined, can be studied with the help of numerical Monte Carlo methods and extrapolated to infinite lattice volumes. |
1607.00503 | Leonid Bork Dr | L. V. Bork, A.I. Onishchenko | Grassmannians and form factors with $q^2=0$ in N=4 SYM theory | 46 pages, 16 figures; v2: minor changes, typos corrected, references
added | null | 10.1007/JHEP12(2016)076 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider tree level form factors of operators from stress tensor operator
supermultiplet with light-like operator momentum $q^2=0$. We present a
conjecture for the Grassmannian integral representation both for these tree
level form factors as well as for leading singularities of their loop
counterparts. The presented conjecture was successfully checked by reproducing
several known answers in $\mbox{MHV}$ and $\mbox{N}^{k-2}\mbox{MHV}$, $k\geq3$
sectors together with appropriate soft limits. We also discuss the cancellation
of spurious poles and relations between different BCFW representations for such
form factors on simple examples.
| [
{
"created": "Sat, 2 Jul 2016 13:11:23 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2016 13:08:13 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Bork",
"L. V.",
""
],
[
"Onishchenko",
"A. I.",
""
]
] | We consider tree level form factors of operators from stress tensor operator supermultiplet with light-like operator momentum $q^2=0$. We present a conjecture for the Grassmannian integral representation both for these tree level form factors as well as for leading singularities of their loop counterparts. The presented conjecture was successfully checked by reproducing several known answers in $\mbox{MHV}$ and $\mbox{N}^{k-2}\mbox{MHV}$, $k\geq3$ sectors together with appropriate soft limits. We also discuss the cancellation of spurious poles and relations between different BCFW representations for such form factors on simple examples. |
1603.08382 | Mathew Bullimore | Mathew Bullimore, Tudor Dimofte, Davide Gaiotto, Justin Hilburn | Boundaries, Mirror Symmetry, and Symplectic Duality in 3d
$\mathcal{N}=4$ Gauge Theory | 222 pages, 36 figures; v2: reference added; v3: JHEP version | null | 10.1007/JHEP10(2016)108 | null | hep-th math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce several families of $\mathcal{N}=(2,2)$ UV boundary conditions
in 3d $\mathcal N=4$ gauge theories and study their IR images in sigma-models
to the Higgs and Coulomb branches. In the presence of Omega deformations, a UV
boundary condition defines a pair of modules for quantized algebras of chiral
Higgs- and Coulomb-branch operators, respectively, whose structure we derive.
In the case of abelian theories, we use the formalism of hyperplane
arrangements to make our constructions very explicit, and construct a half-BPS
interface that implements the action of 3d mirror symmetry on gauge theories
and boundary conditions. Finally, by studying two-dimensional compactifications
of 3d $\mathcal{N}=4$ gauge theories and their boundary conditions, we propose
a physical origin for symplectic duality - an equivalence of categories of
modules associated to families of Higgs and Coulomb branches that has recently
appeared in the mathematics literature, and generalizes classic results on
Koszul duality in geometric representation theory. We make several predictions
about the structure of symplectic duality, and identify Koszul duality as a
special case of wall crossing.
| [
{
"created": "Mon, 28 Mar 2016 14:04:18 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2016 08:00:31 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Oct 2016 18:49:13 GMT",
"version": "v3"
}
] | 2016-11-23 | [
[
"Bullimore",
"Mathew",
""
],
[
"Dimofte",
"Tudor",
""
],
[
"Gaiotto",
"Davide",
""
],
[
"Hilburn",
"Justin",
""
]
] | We introduce several families of $\mathcal{N}=(2,2)$ UV boundary conditions in 3d $\mathcal N=4$ gauge theories and study their IR images in sigma-models to the Higgs and Coulomb branches. In the presence of Omega deformations, a UV boundary condition defines a pair of modules for quantized algebras of chiral Higgs- and Coulomb-branch operators, respectively, whose structure we derive. In the case of abelian theories, we use the formalism of hyperplane arrangements to make our constructions very explicit, and construct a half-BPS interface that implements the action of 3d mirror symmetry on gauge theories and boundary conditions. Finally, by studying two-dimensional compactifications of 3d $\mathcal{N}=4$ gauge theories and their boundary conditions, we propose a physical origin for symplectic duality - an equivalence of categories of modules associated to families of Higgs and Coulomb branches that has recently appeared in the mathematics literature, and generalizes classic results on Koszul duality in geometric representation theory. We make several predictions about the structure of symplectic duality, and identify Koszul duality as a special case of wall crossing. |
0804.1561 | Sergei Gukov | Sergei Gukov, Edward Witten | Rigid Surface Operators | 90 pp | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Surface operators in gauge theory are analogous to Wilson and 't Hooft line
operators except that they are supported on a two-dimensional surface rather
than a one-dimensional curve. In a previous paper, we constructed a certain
class of half-BPS surface operators in N=4 super Yang-Mills theory, and
determined how they transform under S-duality. Those surface operators depend
on a relatively large number of freely adjustable parameters. In the present
paper, we consider the opposite case of half-BPS surface operators that are
``rigid'' in the sense that they do not depend on any parameters at all. We
present some simple constructions of rigid half-BPS surface operators and
attempt to determine how they transform under duality. This attempt is only
partially successful, suggesting that our constructions are not the whole
story. The partial match suggests interesting connections with quantization. We
discuss some possible refinements and some string theory constructions which
might lead to a more complete picture.
| [
{
"created": "Wed, 9 Apr 2008 20:59:54 GMT",
"version": "v1"
}
] | 2008-04-11 | [
[
"Gukov",
"Sergei",
""
],
[
"Witten",
"Edward",
""
]
] | Surface operators in gauge theory are analogous to Wilson and 't Hooft line operators except that they are supported on a two-dimensional surface rather than a one-dimensional curve. In a previous paper, we constructed a certain class of half-BPS surface operators in N=4 super Yang-Mills theory, and determined how they transform under S-duality. Those surface operators depend on a relatively large number of freely adjustable parameters. In the present paper, we consider the opposite case of half-BPS surface operators that are ``rigid'' in the sense that they do not depend on any parameters at all. We present some simple constructions of rigid half-BPS surface operators and attempt to determine how they transform under duality. This attempt is only partially successful, suggesting that our constructions are not the whole story. The partial match suggests interesting connections with quantization. We discuss some possible refinements and some string theory constructions which might lead to a more complete picture. |
hep-th/9502130 | null | M.Gasperini, M.Giovannini, K.A.Meissner and G.Veneziano | EVOLUTION OF A STRING NETWORK IN BACKGROUNDS WITH ROLLING HORIZONS | 19 pages, plain tex, no figures, to appear in "String gravity and
physics at the Planck energy scale" (World Scientific, Singapore, 1995) | Nucl.Phys.Proc.Suppl. 45B-C (1996) 207-216 | null | CERN-TH/95-40 | hep-th gr-qc | null | We discuss the temporal variation of the equation of state of a classical
string network, evolving in a background in which the Hubble radius 1/H shrinks
to a minimum and then re-expands to infinity. We also present a method to look
for self-consistent non-vacuum string backgrounds, correponding to the
simultaneous solution of the gravi-dilaton backgrounds equations and of the
string equations of motion.
| [
{
"created": "Wed, 22 Feb 1995 11:00:24 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Gasperini",
"M.",
""
],
[
"Giovannini",
"M.",
""
],
[
"Meissner",
"K. A.",
""
],
[
"Veneziano",
"G.",
""
]
] | We discuss the temporal variation of the equation of state of a classical string network, evolving in a background in which the Hubble radius 1/H shrinks to a minimum and then re-expands to infinity. We also present a method to look for self-consistent non-vacuum string backgrounds, correponding to the simultaneous solution of the gravi-dilaton backgrounds equations and of the string equations of motion. |
hep-th/0307155 | Neda Sadooghi | Farhad Ardalan and Neda Sadooghi | Planar and Nonplanar Konishi Anomalies and Effective Superpotential for
Noncommutative N=1 Supersymmetric U(1) | LaTeX, 36 pages. Version 2: Typos Corrected. Version 3: Extensively
revised version, 42 pages, to be published in Int. J. Mod. Phys. A. (2005) | Int.J.Mod.Phys. A20 (2005) 2859-2882 | 10.1142/S0217751X05021312 | IPM/P-2003/034 | hep-th | null | The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory
arising from planar and nonplanar diagrams are calculated. Whereas planar
Konishi anomaly is the expected \star-deformation of the commutative anomaly,
nonplanar anomaly reflects the important features of nonplanar diagrams of
noncommutative gauge theories, such as UV/IR mixing and the appearance of
nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies
to calculate the effective superpotential of the theory. In the limit of
vanishing |\Theta p|, with \Theta the noncommutativity parameter, the
noncommutative effective superpotential depends on a gauge invariant
superfield, which includes supersymmetric Wilson lines, and has nontrivial
dependence on the gauge field supermultiplet.
| [
{
"created": "Thu, 17 Jul 2003 14:53:08 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 2003 15:57:22 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Jan 2005 10:47:36 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Ardalan",
"Farhad",
""
],
[
"Sadooghi",
"Neda",
""
]
] | The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected \star-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies to calculate the effective superpotential of the theory. In the limit of vanishing |\Theta p|, with \Theta the noncommutativity parameter, the noncommutative effective superpotential depends on a gauge invariant superfield, which includes supersymmetric Wilson lines, and has nontrivial dependence on the gauge field supermultiplet. |
2201.04183 | Yigit Yargic | Yigit Yargic, Jaron Lanier, Lee Smolin, Dave Wecker | A Cubic Matrix Action for the Standard Model and Beyond | 34 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new framework for matrix theories that are equivalent to field
theories on a toroidal spacetime. The correspondence is accomplished via
infinite Toeplitz matrices whose entries match the field degrees of freedom on
an energy-momentum lattice, thereby replacing the background geometry with
matrix indices. These matrix theories can then be embedded into the purely
cubic action of a single matrix and combined into a common universality class.
We reconstruct the Standard Model action in this framework and discuss its
extensions within the same class.
| [
{
"created": "Tue, 11 Jan 2022 20:21:19 GMT",
"version": "v1"
}
] | 2022-01-13 | [
[
"Yargic",
"Yigit",
""
],
[
"Lanier",
"Jaron",
""
],
[
"Smolin",
"Lee",
""
],
[
"Wecker",
"Dave",
""
]
] | We propose a new framework for matrix theories that are equivalent to field theories on a toroidal spacetime. The correspondence is accomplished via infinite Toeplitz matrices whose entries match the field degrees of freedom on an energy-momentum lattice, thereby replacing the background geometry with matrix indices. These matrix theories can then be embedded into the purely cubic action of a single matrix and combined into a common universality class. We reconstruct the Standard Model action in this framework and discuss its extensions within the same class. |
2302.11340 | Mikhail Altaisky | Mikhail Altaisky and Michal Hnatich | Are there any Landau poles in wavelet-based quantum field theory? | RevTeX, 13 pages, 3 eps figures | Physical Review D 108(2023)085023 | 10.1103/PhysRevD.108.085023 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Following previous work by one of the authors [M.V.Altaisky, Unifying
renormalization group and the continuous wavelet transform, Phys. Rev. D 93,
105043 (2016).], we develop a new approach to the renormalization group, where
the effective action functional $\Gamma_A[\phi]$ is a sum of all fluctuations
of scales from the size of the system $L$ down to the scale of observation $A$.
It is shown that the renormalization flow equation of the type $ \frac{\partial
\Gamma_A}{\partial \ln A}=-Y(A) $ is a limiting case of such consideration,
when the running coupling constant is assumed to be a differentiable function
of scale. In this approximation, the running coupling constant, calculated at
one-loop level, suffers from the Landau pole. In general case, when the
scale-dependent coupling constant is a non-differentiable function of scale,
the Feynman loop expansion results in a difference equation. This keeps the
coupling constant finite for any finite value of scale $A$. As an example we
consider Euclidean $\phi^4$ field theory.
| [
{
"created": "Tue, 21 Feb 2023 15:05:40 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Mar 2023 17:59:07 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Oct 2023 07:38:04 GMT",
"version": "v3"
}
] | 2023-10-30 | [
[
"Altaisky",
"Mikhail",
""
],
[
"Hnatich",
"Michal",
""
]
] | Following previous work by one of the authors [M.V.Altaisky, Unifying renormalization group and the continuous wavelet transform, Phys. Rev. D 93, 105043 (2016).], we develop a new approach to the renormalization group, where the effective action functional $\Gamma_A[\phi]$ is a sum of all fluctuations of scales from the size of the system $L$ down to the scale of observation $A$. It is shown that the renormalization flow equation of the type $ \frac{\partial \Gamma_A}{\partial \ln A}=-Y(A) $ is a limiting case of such consideration, when the running coupling constant is assumed to be a differentiable function of scale. In this approximation, the running coupling constant, calculated at one-loop level, suffers from the Landau pole. In general case, when the scale-dependent coupling constant is a non-differentiable function of scale, the Feynman loop expansion results in a difference equation. This keeps the coupling constant finite for any finite value of scale $A$. As an example we consider Euclidean $\phi^4$ field theory. |
1102.4059 | Amir Abbass Varshovi | Amir Abbass Varshovi | Consistent Anomalies in Translation-Invariant Noncommutative Gauge
Theories | null | null | 10.1063/1.4704797 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Translation-invariant noncommutative gauge theories are discussed in the
setting of matrix modeled gauge theories. Using the matrix model formulation
the explicit form of consistent anomalies and consistent Schwinger terms for
translation-invariant noncommutative gauge theories are derived.
| [
{
"created": "Sun, 20 Feb 2011 10:14:36 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Varshovi",
"Amir Abbass",
""
]
] | Translation-invariant noncommutative gauge theories are discussed in the setting of matrix modeled gauge theories. Using the matrix model formulation the explicit form of consistent anomalies and consistent Schwinger terms for translation-invariant noncommutative gauge theories are derived. |
1102.1166 | Miao Li | Rong-Xin Miao, Jun Meng, Miao Li | f(R) Gravity and Maxwell Equations from the Holographic Principle | 16 pages, 2 figures, v2 typos corrected | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extending the holographic program of [1], we derive f(R) gravity and the
Maxwell equations from the holographic principle, using time-like holographic
screen. We find that to derive the Einstein equations and f(R) gravity in a
natural holographic approach, the quasi-static condition is necessary. We also
find the surface stress tensor and the surface electric current, surface
magnetic current on the holographic screen for f(R) gravity and Maxwell's
theory, respectively.
| [
{
"created": "Sun, 6 Feb 2011 16:42:13 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2011 16:19:20 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Feb 2011 10:20:32 GMT",
"version": "v3"
}
] | 2011-02-22 | [
[
"Miao",
"Rong-Xin",
""
],
[
"Meng",
"Jun",
""
],
[
"Li",
"Miao",
""
]
] | Extending the holographic program of [1], we derive f(R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screen. We find that to derive the Einstein equations and f(R) gravity in a natural holographic approach, the quasi-static condition is necessary. We also find the surface stress tensor and the surface electric current, surface magnetic current on the holographic screen for f(R) gravity and Maxwell's theory, respectively. |
1211.6265 | M. P. Garcia del Moral | M.P. Garcia del Moral | Dualities as symmetries of the Supermembrane Theory | 17 pg, latex. arXiv admin note: substantial text overlap with
arXiv:1203.2767 | null | null | FPAUO 18/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note I review the role played by dualities in the Supermembrane
Theory compactified on a torus. Supermembrane theory realize S, T, so
U-duality, as exact symmetries of the theory. There are two well defined
sectors: with and without central charges. Both sectors have the SL(2,Z)xZ2
U-duality group in 9D as a symmetry of the theory, but the supermembrane with
central charges, also exhibits an extra SL(2,Z) symmetry of the theory
associated to the diffeomorphisms not connected with the identity changing the
homology basis. The Z2 symmetry is T-duality transformation that acts on the
supermembrane and generalize that of the string. This T-duality transformation
acts locally and also globally on the supermembrane theory. It has a natural
description in terms of the cohomology of the base manifold and the homology of
the target torus. When only string-like states are preserved, one recovers both
type II string theories in 9D. If one also consider properly limit of the
T-duality transformation characterizing the supermembrane, the usual closed
string T-duality transformation between the type IIA and type IIB mass
operators is recovered.
| [
{
"created": "Tue, 27 Nov 2012 10:50:30 GMT",
"version": "v1"
}
] | 2012-11-28 | [
[
"del Moral",
"M. P. Garcia",
""
]
] | In this note I review the role played by dualities in the Supermembrane Theory compactified on a torus. Supermembrane theory realize S, T, so U-duality, as exact symmetries of the theory. There are two well defined sectors: with and without central charges. Both sectors have the SL(2,Z)xZ2 U-duality group in 9D as a symmetry of the theory, but the supermembrane with central charges, also exhibits an extra SL(2,Z) symmetry of the theory associated to the diffeomorphisms not connected with the identity changing the homology basis. The Z2 symmetry is T-duality transformation that acts on the supermembrane and generalize that of the string. This T-duality transformation acts locally and also globally on the supermembrane theory. It has a natural description in terms of the cohomology of the base manifold and the homology of the target torus. When only string-like states are preserved, one recovers both type II string theories in 9D. If one also consider properly limit of the T-duality transformation characterizing the supermembrane, the usual closed string T-duality transformation between the type IIA and type IIB mass operators is recovered. |
2112.09122 | Simon Lin | Chris Akers, Thomas Faulkner, Simon Lin, Pratik Rath | Reflected entropy in random tensor networks | 58 pages + appendices, 24 figures, v2: fixed typos and added 1
figure, v3: typo fixed | J. High Energ. Phys. 2022, 162 (2022) | 10.1007/JHEP05(2022)162 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | In holographic theories, the reflected entropy has been shown to be dual to
the area of the entanglement wedge cross section. We study the same problem in
random tensor networks demonstrating an equivalent duality. For a single random
tensor we analyze the important non-perturbative effects that smooth out the
discontinuity in the reflected entropy across the Page phase transition. By
summing over all such effects, we obtain the reflected entanglement spectrum
analytically, which agrees well with numerical studies. This motivates a
prescription for the analytic continuation required in computing the reflected
entropy and its R\'enyi generalization which resolves an order of limits issue
previously identified in the literature. We apply this prescription to
hyperbolic tensor networks and find answers consistent with holographic
expectations. In particular, the random tensor network has the same non-trivial
tripartite entanglement structure expected from holographic states. We
furthermore show that the reflected R\'enyi spectrum is not flat, in sharp
contrast to the usual R\'enyi spectrum of these networks. We argue that the
various distinct contributions to the reflected entanglement spectrum can be
organized into approximate superselection sectors. We interpret this as
resulting from an effective description of the canonically purified state as a
superposition of distinct tensor network states. Each network is constructed by
doubling and gluing various candidate entanglement wedges of the original
network. The superselection sectors are labelled by the different
cross-sectional areas of these candidate entanglement wedges.
| [
{
"created": "Thu, 16 Dec 2021 18:59:00 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2022 17:32:02 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Oct 2022 18:09:40 GMT",
"version": "v3"
}
] | 2022-10-18 | [
[
"Akers",
"Chris",
""
],
[
"Faulkner",
"Thomas",
""
],
[
"Lin",
"Simon",
""
],
[
"Rath",
"Pratik",
""
]
] | In holographic theories, the reflected entropy has been shown to be dual to the area of the entanglement wedge cross section. We study the same problem in random tensor networks demonstrating an equivalent duality. For a single random tensor we analyze the important non-perturbative effects that smooth out the discontinuity in the reflected entropy across the Page phase transition. By summing over all such effects, we obtain the reflected entanglement spectrum analytically, which agrees well with numerical studies. This motivates a prescription for the analytic continuation required in computing the reflected entropy and its R\'enyi generalization which resolves an order of limits issue previously identified in the literature. We apply this prescription to hyperbolic tensor networks and find answers consistent with holographic expectations. In particular, the random tensor network has the same non-trivial tripartite entanglement structure expected from holographic states. We furthermore show that the reflected R\'enyi spectrum is not flat, in sharp contrast to the usual R\'enyi spectrum of these networks. We argue that the various distinct contributions to the reflected entanglement spectrum can be organized into approximate superselection sectors. We interpret this as resulting from an effective description of the canonically purified state as a superposition of distinct tensor network states. Each network is constructed by doubling and gluing various candidate entanglement wedges of the original network. The superselection sectors are labelled by the different cross-sectional areas of these candidate entanglement wedges. |
1103.1714 | Debaprasad Maity | Jiunn-Wei Chen, Yu-Sheng Liu, Debaprasad Maity | $d+id$ Holographic Superconductors | 24 pages,17 figures, Add more discussions on hall conductivity, two
new figures, Matched with published version | JHEP 1105:032,2011 | 10.1007/JHEP05(2011)032 | null | hep-th cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A holographic model of $d+id$ superconductors based on the action proposed by
Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a
charged spin two field in an AdS black hole spacetime. Working in the probe
limit, the normalizable solution of the spin two field in the bulk gives rise
to a $d+id$ superconducting order parameter at the boundary of the AdS. We
calculate the fermion spectral function in this\ superconducting background and
confirm the existence of fermi arcs for non-vanishing Majorana couplings. By
changing the relative strength $\gamma $ of the $d$ and $id$ condensations, the
position and the size of the fermi arcs are changed. When $\gamma =1$, the
spectrum becomes isotropic and the spectral function is s-wave like. By
changing the fermion mass, the fermi momentum is changed. We also calculate the
conductivity for these holographic $d+id$ superconductors where time reversal
symmetry has been broken spontaneously. A non-vanishing Hall conductivity is
obtained even without an external magnetic field.
| [
{
"created": "Wed, 9 Mar 2011 07:19:46 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2011 02:03:56 GMT",
"version": "v2"
},
{
"created": "Thu, 5 May 2011 14:50:15 GMT",
"version": "v3"
}
] | 2015-03-19 | [
[
"Chen",
"Jiunn-Wei",
""
],
[
"Liu",
"Yu-Sheng",
""
],
[
"Maity",
"Debaprasad",
""
]
] | A holographic model of $d+id$ superconductors based on the action proposed by Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a charged spin two field in an AdS black hole spacetime. Working in the probe limit, the normalizable solution of the spin two field in the bulk gives rise to a $d+id$ superconducting order parameter at the boundary of the AdS. We calculate the fermion spectral function in this\ superconducting background and confirm the existence of fermi arcs for non-vanishing Majorana couplings. By changing the relative strength $\gamma $ of the $d$ and $id$ condensations, the position and the size of the fermi arcs are changed. When $\gamma =1$, the spectrum becomes isotropic and the spectral function is s-wave like. By changing the fermion mass, the fermi momentum is changed. We also calculate the conductivity for these holographic $d+id$ superconductors where time reversal symmetry has been broken spontaneously. A non-vanishing Hall conductivity is obtained even without an external magnetic field. |
hep-th/0307260 | Pietro Antonio Grassi | Lilia Anguelova (YITP, Stony Brook) and Pietro A. Grassi (YITP, Stony
Brook) | Super D-branes from BRST Symmetry | 31 pp; journal version, expended discussion of D-brane pure spinor
constraints in Section 2.3 | JHEP 0311:010,2003 | 10.1088/1126-6708/2003/11/010 | YITP-03-35 | hep-th | null | Recently a new formalism has been developed for the covariant quantization of
superstrings. We study properties of Dp-branes and p-branes in this new
framework, focusing on two different topics: effective actions and boundary
states for Dp-branes. We present a derivation of the Wess-Zumino terms for
super (D)p-branes using BRST symmetry. To achieve this we derive the BRST
symmetry for superbranes, starting from the approach with/without pure spinors,
and completely characterize the WZ terms as elements of the BRST cohomology. We
also develope the boundary state description of Dp-branes by analyzing the
boundary conditions for open strings in the completely covariant (i.e., without
pure spinors) BRST formulation.
| [
{
"created": "Sat, 26 Jul 2003 08:38:17 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Aug 2003 04:44:38 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Aug 2003 22:47:41 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Nov 2003 01:59:23 GMT",
"version": "v4"
}
] | 2010-02-03 | [
[
"Anguelova",
"Lilia",
"",
"YITP, Stony Brook"
],
[
"Grassi",
"Pietro A.",
"",
"YITP, Stony\n Brook"
]
] | Recently a new formalism has been developed for the covariant quantization of superstrings. We study properties of Dp-branes and p-branes in this new framework, focusing on two different topics: effective actions and boundary states for Dp-branes. We present a derivation of the Wess-Zumino terms for super (D)p-branes using BRST symmetry. To achieve this we derive the BRST symmetry for superbranes, starting from the approach with/without pure spinors, and completely characterize the WZ terms as elements of the BRST cohomology. We also develope the boundary state description of Dp-branes by analyzing the boundary conditions for open strings in the completely covariant (i.e., without pure spinors) BRST formulation. |
1901.03347 | Daisuke Yoshida | Tokiro Numasawa, Daisuke Yoshida | Global Spacetime Structure of Compactified Inflationary Universe | 7 pages, 5 figures | null | 10.1088/1361-6382/ab38ed | OU-HET 991 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the global spacetime structure of torus de Sitter universe,
which is exact de Sitter space with torus identification based on the flat
chart. We show that past incomplete null geodesics in torus de Sitter universe
are locally extendible. Then we give an extension of torus de Sitter universe
so that at least one of the past incomplete null geodesics in the original
spacetime becomes complete. However we find that extended torus de Sitter
universe has two ill behaviors. The first one is a closed causal curve. The
second one is so called quasi regular singularity, which means that there is no
global, consistent extension of spacetime where all curves become complete,
nevertheless each curve is locally extensible.
| [
{
"created": "Thu, 10 Jan 2019 19:00:16 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Numasawa",
"Tokiro",
""
],
[
"Yoshida",
"Daisuke",
""
]
] | We investigate the global spacetime structure of torus de Sitter universe, which is exact de Sitter space with torus identification based on the flat chart. We show that past incomplete null geodesics in torus de Sitter universe are locally extendible. Then we give an extension of torus de Sitter universe so that at least one of the past incomplete null geodesics in the original spacetime becomes complete. However we find that extended torus de Sitter universe has two ill behaviors. The first one is a closed causal curve. The second one is so called quasi regular singularity, which means that there is no global, consistent extension of spacetime where all curves become complete, nevertheless each curve is locally extensible. |
0707.3264 | Kluson Josef | J. Kluson | Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of
Lax Connection | 17 pages | JHEP 0709:100,2007 | 10.1088/1126-6708/2007/09/100 | null | hep-th | null | This short note is devoted to the study of the Hamiltonian formalism and the
integrability of the bosonic model introduced in [hep-th/0612079]. We calculate
Poisson bracket of spatial components of Lax connection and we argue that its
structure implies classical integrability of the theory.
| [
{
"created": "Sun, 22 Jul 2007 14:29:44 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Kluson",
"J.",
""
]
] | This short note is devoted to the study of the Hamiltonian formalism and the integrability of the bosonic model introduced in [hep-th/0612079]. We calculate Poisson bracket of spatial components of Lax connection and we argue that its structure implies classical integrability of the theory. |
hep-th/0002011 | Michael Gutperle | Michael B. Green (DAMTP, University of Cambridge, UK) and Michael
Gutperle (Dept. of Physics, Harvard University, USA) | D-instanton induced interactions on a D3-brane | 40 pages, harvmac (b), some typos corrected and references added | JHEP 0002:014,2000 | 10.1088/1126-6708/2000/02/014 | DAMTP-2000-6, HUTP-00/A001 | hep-th | null | Non-perturbative features of the derivative expansion of the effective action
of a single D3-brane are obtained by considering scattering amplitudes of open
and closed strings. This motivates expressions for the coupling constant
dependence of world-volume interactions of the form $(\partial F)^4$ (where F
is the Born-Infeld field strength), $(\partial^2\phi)^4$ (where $\phi$ are the
normal coordinates of the D3-brane) and other interactions related by $\calN=4$
supersymmetry. These include terms that transform with non-trivial modular
weight under Montonen-Olive duality. The leading D-instanton contributions that
enter into these effective interactions are also shown to follow from an
explicit stringy construction of the moduli space action for the
D-instanton/D3-brane system in the presence of D3-brane open-string sources
(but in the absence of a background antisymmetric tensor potential). Extending
this action to include closed-string sources leads to a unified description of
non-perturbative terms in the effective action of the form (embedding
curvature)$^2$ together with open-string interactions that describe
contributions of the second fundamental form.
| [
{
"created": "Tue, 1 Feb 2000 21:09:26 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2000 20:58:50 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Green",
"Michael B.",
"",
"DAMTP, University of Cambridge, UK"
],
[
"Gutperle",
"Michael",
"",
"Dept. of Physics, Harvard University, USA"
]
] | Non-perturbative features of the derivative expansion of the effective action of a single D3-brane are obtained by considering scattering amplitudes of open and closed strings. This motivates expressions for the coupling constant dependence of world-volume interactions of the form $(\partial F)^4$ (where F is the Born-Infeld field strength), $(\partial^2\phi)^4$ (where $\phi$ are the normal coordinates of the D3-brane) and other interactions related by $\calN=4$ supersymmetry. These include terms that transform with non-trivial modular weight under Montonen-Olive duality. The leading D-instanton contributions that enter into these effective interactions are also shown to follow from an explicit stringy construction of the moduli space action for the D-instanton/D3-brane system in the presence of D3-brane open-string sources (but in the absence of a background antisymmetric tensor potential). Extending this action to include closed-string sources leads to a unified description of non-perturbative terms in the effective action of the form (embedding curvature)$^2$ together with open-string interactions that describe contributions of the second fundamental form. |
hep-th/0303055 | Assaf Shomer | Assaf Shomer | Penrose limit and DLCQ of string theory | 31 pages, harvmac, no figures. v2: minor changes, references added.
v3: small changes, to appear in PRD | Phys.Rev. D68 (2003) 086002 | 10.1103/PhysRevD.68.086002 | null | hep-th | null | We argue that the Penrose limit of a general string background is a
generalization of the Seiberg-Sen limit describing M(atrix) theory as the DLCQ
of M theory in flat space. The BMN theory of type IIB strings on the maximally
supersymmetric pp-wave background is understood as the exact analogue of the
BFSS M(atrix) theory, namely, a DLCQ of IIB string theory on $AdS_5 \times S^5$
in the limit of infinite longitudinal momentum. This point of view is used to
explain some features of the BMN duality.
| [
{
"created": "Thu, 6 Mar 2003 21:16:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 2003 12:55:21 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Sep 2003 12:29:09 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Shomer",
"Assaf",
""
]
] | We argue that the Penrose limit of a general string background is a generalization of the Seiberg-Sen limit describing M(atrix) theory as the DLCQ of M theory in flat space. The BMN theory of type IIB strings on the maximally supersymmetric pp-wave background is understood as the exact analogue of the BFSS M(atrix) theory, namely, a DLCQ of IIB string theory on $AdS_5 \times S^5$ in the limit of infinite longitudinal momentum. This point of view is used to explain some features of the BMN duality. |
1706.02629 | Theodore Erler | Theodore Erler | Superstring Field Theory and the Wess-Zumino-Witten Action | v2: 63 pages, 4 figures. Minor corrections, references added | JHEP 1710 (2017) 057 | 10.1007/JHEP10(2017)057 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a notion of "higher" Wess-Zumino-Witten-like action which is
natural in the context of superstring field theories formulated in the large
Hilbert space. For the open string, the action is characterized by a pair of
commuting cyclic $A_\infty$ structures together with a hierarchy of higher-form
potentials analogous to the Maurer-Cartan elements which appear in the
conventional Wess-Zumino-Witten action. We apply this formalism to get a better
understanding of symmetries of open superstring field theory and the structure
of interactions in the Ramond sector, describing an interesting connection
between Ramond vertices and Feynman diagrams.
| [
{
"created": "Thu, 8 Jun 2017 15:13:50 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2017 18:07:14 GMT",
"version": "v2"
}
] | 2017-10-23 | [
[
"Erler",
"Theodore",
""
]
] | We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting cyclic $A_\infty$ structures together with a hierarchy of higher-form potentials analogous to the Maurer-Cartan elements which appear in the conventional Wess-Zumino-Witten action. We apply this formalism to get a better understanding of symmetries of open superstring field theory and the structure of interactions in the Ramond sector, describing an interesting connection between Ramond vertices and Feynman diagrams. |
1306.3966 | Alexei Zayats | Alexei E. Zayats | Self-interaction in the Bopp-Podolsky electrodynamics: Can the
observable mass of a charged particle depend on its acceleration? | 8 pages, 1 figure, final version | Ann. Phys. 342, 11-20 (2014) | 10.1016/j.aop.2013.12.005 | null | hep-th gr-qc physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we obtain the expression for the self-force in the model with
the Lagrangian containing additional terms, quadratic in Maxwell tensor
derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force
are analyzed for various limiting cases. When a charged particle moves along
straight line with a uniform acceleration, an explicit formula is found. In the
framework of the considered model, an observable renormalized particle mass is
shown to depend on its acceleration. This dependence allows, in principle, to
extract experimentally a value of the particle bare mass.
| [
{
"created": "Mon, 17 Jun 2013 19:43:58 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2013 17:59:09 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Dec 2013 14:50:03 GMT",
"version": "v3"
}
] | 2013-12-23 | [
[
"Zayats",
"Alexei E.",
""
]
] | In this paper we obtain the expression for the self-force in the model with the Lagrangian containing additional terms, quadratic in Maxwell tensor derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force are analyzed for various limiting cases. When a charged particle moves along straight line with a uniform acceleration, an explicit formula is found. In the framework of the considered model, an observable renormalized particle mass is shown to depend on its acceleration. This dependence allows, in principle, to extract experimentally a value of the particle bare mass. |
1510.03213 | Vivek Vyas | Vivek M. Vyas and V. Srinivasan | A gauge theory of massive spin one particles | LaTeX 2e, 12 pages, No figures | null | 10.1007/s10773-015-2896-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An Abelian gauge theory describing dynamics of massive spin one bosons is
constructed. This is achieved by appending to the Maxwell action, a gauge
invariant mass term. The theory is quantised in temporal as well as Lorentz
gauge, and the corresponding Hilbert spaces are constructed. In both the
gauges, it is found that, the theory respects Lorentz invariance, locality,
causality and unitarity.
| [
{
"created": "Mon, 12 Oct 2015 10:32:37 GMT",
"version": "v1"
}
] | 2016-01-27 | [
[
"Vyas",
"Vivek M.",
""
],
[
"Srinivasan",
"V.",
""
]
] | An Abelian gauge theory describing dynamics of massive spin one bosons is constructed. This is achieved by appending to the Maxwell action, a gauge invariant mass term. The theory is quantised in temporal as well as Lorentz gauge, and the corresponding Hilbert spaces are constructed. In both the gauges, it is found that, the theory respects Lorentz invariance, locality, causality and unitarity. |
hep-th/0701147 | Vitaly Vanchurin | Vitaly Vanchurin | Numerical search for a fundamental theory | 6 pages, 3 figures, RevTeX, expansion and clarification, references
added | Phys.Rev.D77:043503,2008 | 10.1103/PhysRevD.77.043503 | LMU-ASC 02/07 | hep-th gr-qc hep-ph | null | We propose a numerical test of fundamental physics based on the complexity
measure of a general set of functions, which is directly related to the
Kolmogorov (or algorithmic) complexity studied in mathematics and computer
science. The analysis can be carried out for any scientific experiment and
might lead to a better understanding of the underlying theory. From a
cosmological perspective, the anthropic description of fundamental constants
can be explicitly tested by our procedure. We perform a simple numerical search
by analyzing two fundamental constants: the weak coupling constant and the
Weinberg angle, and find that their values are rather atypical.
| [
{
"created": "Tue, 16 Jan 2007 15:41:04 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jul 2007 11:31:04 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Feb 2008 10:33:04 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Vanchurin",
"Vitaly",
""
]
] | We propose a numerical test of fundamental physics based on the complexity measure of a general set of functions, which is directly related to the Kolmogorov (or algorithmic) complexity studied in mathematics and computer science. The analysis can be carried out for any scientific experiment and might lead to a better understanding of the underlying theory. From a cosmological perspective, the anthropic description of fundamental constants can be explicitly tested by our procedure. We perform a simple numerical search by analyzing two fundamental constants: the weak coupling constant and the Weinberg angle, and find that their values are rather atypical. |
hep-th/9912097 | Nicola Grillo | Nicola Grillo | Finite One-Loop Calculations in Quantum Gravity: Graviton Self-Energy,
Perturbative Gauge Invariance and Slavnov-Ward Identities | 44 pages, latex, no figures, some typos corrected, appendix 4 added,
references added | null | null | ZU-TH 38/1999 | hep-th | null | In this paper we show that the one-loop graviton self-energy contribution is
ultraviolet finite, without introducing counterterms, and cutoff-free in the
framework of causal perturbation theory. In addition, it satisfies the
gravitational Slavnov-Ward identities for the two-point connected Green
function. The condition of perturbative gauge invariance to second order for
loop graphs is proved. Corrections to the Newtonian potential are also derived.
| [
{
"created": "Mon, 13 Dec 1999 08:59:04 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2000 09:23:37 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Grillo",
"Nicola",
""
]
] | In this paper we show that the one-loop graviton self-energy contribution is ultraviolet finite, without introducing counterterms, and cutoff-free in the framework of causal perturbation theory. In addition, it satisfies the gravitational Slavnov-Ward identities for the two-point connected Green function. The condition of perturbative gauge invariance to second order for loop graphs is proved. Corrections to the Newtonian potential are also derived. |
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