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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1907.02505 | Finn Larsen | Finn Larsen, Jun Nian, and Yangwenxiao Zeng | AdS$_5$ Black Hole Entropy near the BPS Limit | 37 pages. V2: minor edits, references added | null | 10.1007/JHEP06(2020)001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze AdS$_5$ black holes that are nearly supersymmetric. They depart
from the BPS limit in two distinct ways: a temperature takes them above
extremality and a potential violates a certain constraint. We study the
thermodynamics of these deformations and their interplay in detail. We discuss
recent microscopic computations of BPS black hole entropy in $\mathcal{N}=4$
SYM and generalize methods to the nearBPS regime by relaxing constraints
imposed by supersymmetry. The computations recover gravitational results from
microscopics also for nearBPS black holes.
| [
{
"created": "Thu, 4 Jul 2019 17:40:00 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2019 20:20:46 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Larsen",
"Finn",
""
],
[
"Nian",
"Jun",
""
],
[
"Zeng",
"Yangwenxiao",
""
]
] | We analyze AdS$_5$ black holes that are nearly supersymmetric. They depart from the BPS limit in two distinct ways: a temperature takes them above extremality and a potential violates a certain constraint. We study the thermodynamics of these deformations and their interplay in detail. We discuss recent microscopic computations of BPS black hole entropy in $\mathcal{N}=4$ SYM and generalize methods to the nearBPS regime by relaxing constraints imposed by supersymmetry. The computations recover gravitational results from microscopics also for nearBPS black holes. |
hep-th/9806053 | David A. Sahakyan | S.A. Apikyan, D.A. Sahakyan | Superconformal Field Theory with Boundary: Fermionic Model | 12 pages | Mod.Phys.Lett.A13:1781-1790,1998 | 10.1142/S0217732398001856 | Yerphi-1500(17) | hep-th | null | Fermionic model of Superconformal field theory with boundary is considered.
There were written the ''boundary'' Ward Identity for this theory and also
constructed boundary states for fermionic and spin models. For this model were
derived ''bootstrap'' equations for boundary structure constants.
| [
{
"created": "Sat, 6 Jun 1998 10:44:59 GMT",
"version": "v1"
}
] | 2009-02-23 | [
[
"Apikyan",
"S. A.",
""
],
[
"Sahakyan",
"D. A.",
""
]
] | Fermionic model of Superconformal field theory with boundary is considered. There were written the ''boundary'' Ward Identity for this theory and also constructed boundary states for fermionic and spin models. For this model were derived ''bootstrap'' equations for boundary structure constants. |
2209.11753 | Yigit Yargic | Vasudev Shyam, Yigit Yargic | $T\bar{T}$ deformed scattering happens within matrices | 16 pages | null | 10.1007/JHEP04(2023)132 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show the $T\bar{T}$ deformation of two-dimensional quantum field theories
is equivalent to replacing the spacetime dependence of the fields with
dependence on the indices of infinitely large matrices. We show how this
correspondence explains the CDD phase dressing of the $S$-matrix and the
general formula for the deformation of arbitrary correlation functions. We also
describe how the Moyal deformation of self-dual gravity is a $T\bar{T}$
deformation of the theory described by the Chalmers-Siegel action, where the
$T\bar{T}$ deformation is defined on the two-dimensional plane of interactions.
| [
{
"created": "Fri, 23 Sep 2022 17:57:42 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2023 20:45:22 GMT",
"version": "v2"
}
] | 2023-05-17 | [
[
"Shyam",
"Vasudev",
""
],
[
"Yargic",
"Yigit",
""
]
] | We show the $T\bar{T}$ deformation of two-dimensional quantum field theories is equivalent to replacing the spacetime dependence of the fields with dependence on the indices of infinitely large matrices. We show how this correspondence explains the CDD phase dressing of the $S$-matrix and the general formula for the deformation of arbitrary correlation functions. We also describe how the Moyal deformation of self-dual gravity is a $T\bar{T}$ deformation of the theory described by the Chalmers-Siegel action, where the $T\bar{T}$ deformation is defined on the two-dimensional plane of interactions. |
1201.0135 | Aram Saharian | A. A. Saharian, A. S. Kotanjyan | Casimir-Polder potential for a metallic cylinder in cosmic string
spacetime | 12 pages, 1 figure | Phys. Lett. B 713 (2012) 133 | 10.1016/j.physletb.2012.06.009 | null | hep-th astro-ph.CO quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Casimir-Polder potential is investigated for a polarizable microparticle in
the geometry of a straight cosmic string with a metallic cylindrical shell. The
electromagnetic field Green tensor is evaluated on the imaginary frequency
axis. The expressions for the Casimir-Polder potential is derived in the
general case of anisotropic polarizability for the both interior and exterior
regions of the shell. The potential is decomposed into pure string and
shell-induced parts. The latter dominates for points near the shell, whereas
the pure string part is dominant near the string and at large distances from
the shell. For the isotropic case and in the region inside the shell the both
pure string and shell-induced parts in the Casimir-Polder force are repulsive
with respect to the string. In the exterior region the shell-induced part of
the force is directed toward the cylinder whereas the pure string part remains
repulsive with respect to the string. At large distances from the shell the
total force is repulsive.
| [
{
"created": "Fri, 30 Dec 2011 14:49:06 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Saharian",
"A. A.",
""
],
[
"Kotanjyan",
"A. S.",
""
]
] | Casimir-Polder potential is investigated for a polarizable microparticle in the geometry of a straight cosmic string with a metallic cylindrical shell. The electromagnetic field Green tensor is evaluated on the imaginary frequency axis. The expressions for the Casimir-Polder potential is derived in the general case of anisotropic polarizability for the both interior and exterior regions of the shell. The potential is decomposed into pure string and shell-induced parts. The latter dominates for points near the shell, whereas the pure string part is dominant near the string and at large distances from the shell. For the isotropic case and in the region inside the shell the both pure string and shell-induced parts in the Casimir-Polder force are repulsive with respect to the string. In the exterior region the shell-induced part of the force is directed toward the cylinder whereas the pure string part remains repulsive with respect to the string. At large distances from the shell the total force is repulsive. |
0902.4143 | Bjorn Andreas | Bjorn Andreas, Gottfried Curio | From Local to Global in F-Theory Model Building | 21 pages | J.Geom.Phys.60:1089-1102,2010 | 10.1016/j.geomphys.2010.03.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When locally engineering F-theory models some D7-branes for the gauge group
factors are specified and matter is localized on the intersection curves of the
compact parts of the world-volumes. In this note we discuss to what extent one
can draw conclusions about F-theory models by just restricting the attention
locally to a particular seven-brane. Globally the possible D7-branes are not
independent from each other and the (compact part of the) D7-brane can have
unavoidable intrinsic singularities. Many special intersecting loci which were
not chosen by hand occur inevitably, notably codimension three loci which are
not intersections of matter curves. We describe these complications
specifically in a global SU(5) model and also their impact on the tadpole
cancellation condition.
| [
{
"created": "Tue, 24 Feb 2009 13:22:55 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Andreas",
"Bjorn",
""
],
[
"Curio",
"Gottfried",
""
]
] | When locally engineering F-theory models some D7-branes for the gauge group factors are specified and matter is localized on the intersection curves of the compact parts of the world-volumes. In this note we discuss to what extent one can draw conclusions about F-theory models by just restricting the attention locally to a particular seven-brane. Globally the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities. Many special intersecting loci which were not chosen by hand occur inevitably, notably codimension three loci which are not intersections of matter curves. We describe these complications specifically in a global SU(5) model and also their impact on the tadpole cancellation condition. |
2305.09665 | Jonathan Heckman | Mirjam Cveti\v{c}, Jonathan J. Heckman, Max H\"ubner, and Ethan Torres | Fluxbranes, Generalized Symmetries, and Verlinde's Metastable Monopole | 23 pages, 3 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stringy realization of generalized symmetry operators involves wrapping
"branes at infinity". We argue that in the case of continuous (as opposed to
discrete) symmetries, the appropriate objects are fluxbranes. We use this
perspective to revisit the phase structure of Verlinde's monopole, a proposed
particle which is BPS when gravity is decoupled, but is non-BPS and metastable
when gravity is switched on. Geometrically, this monopole is obtained from
branes wrapped on locally stable but globally trivial cycles of a
compactification geometry. The fluxbrane picture allows us to characterize
electric (resp. magnetic) confinement (resp. screening) in the 4D theory as a
result of monopole decay. In the presence of the fluxbrane, this decay also
creates lower-dimensional fluxbranes, which in the field theory is interpreted
as the creation of an additional topological field theory sector.
| [
{
"created": "Tue, 16 May 2023 17:59:55 GMT",
"version": "v1"
}
] | 2023-05-17 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Hübner",
"Max",
""
],
[
"Torres",
"Ethan",
""
]
] | The stringy realization of generalized symmetry operators involves wrapping "branes at infinity". We argue that in the case of continuous (as opposed to discrete) symmetries, the appropriate objects are fluxbranes. We use this perspective to revisit the phase structure of Verlinde's monopole, a proposed particle which is BPS when gravity is decoupled, but is non-BPS and metastable when gravity is switched on. Geometrically, this monopole is obtained from branes wrapped on locally stable but globally trivial cycles of a compactification geometry. The fluxbrane picture allows us to characterize electric (resp. magnetic) confinement (resp. screening) in the 4D theory as a result of monopole decay. In the presence of the fluxbrane, this decay also creates lower-dimensional fluxbranes, which in the field theory is interpreted as the creation of an additional topological field theory sector. |
1609.04719 | Avinash Raju | Chethan Krishnan, K.V. Pavan Kumar, Avinash Raju | An Alternate Path Integral for Quantum Gravity | 29 pages, v3: references and a concluding speculative comment added | JHEP10(2016)043 | 10.1007/JHEP10(2016)043 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a (semi-classical) path integral for gravity with Neumann boundary
conditions in $D$ dimensions, and show how to relate this new partition
function to the usual picture of Euclidean quantum gravity. We also write down
the action in ADM Hamiltonian formulation and use it to reproduce the entropy
of black holes and cosmological horizons. A comparison between the
(background-subtracted) covariant and Hamiltonian ways of semi-classically
evaluating this path integral in flat space reproduces the generalized Smarr
formula and the first law. This "Neumann ensemble" perspective on gravitational
thermodynamics is parallel to the canonical (Dirichlet) ensemble of
Gibbons-Hawking and the microcanonical approach of Brown-York.
| [
{
"created": "Thu, 15 Sep 2016 16:17:41 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2016 13:13:49 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Feb 2017 14:49:43 GMT",
"version": "v3"
}
] | 2017-03-01 | [
[
"Krishnan",
"Chethan",
""
],
[
"Kumar",
"K. V. Pavan",
""
],
[
"Raju",
"Avinash",
""
]
] | We define a (semi-classical) path integral for gravity with Neumann boundary conditions in $D$ dimensions, and show how to relate this new partition function to the usual picture of Euclidean quantum gravity. We also write down the action in ADM Hamiltonian formulation and use it to reproduce the entropy of black holes and cosmological horizons. A comparison between the (background-subtracted) covariant and Hamiltonian ways of semi-classically evaluating this path integral in flat space reproduces the generalized Smarr formula and the first law. This "Neumann ensemble" perspective on gravitational thermodynamics is parallel to the canonical (Dirichlet) ensemble of Gibbons-Hawking and the microcanonical approach of Brown-York. |
1906.05772 | Simon Riquelme | Rafael Bravo, Gonzalo A. Palma, and Simon Riquelme | A Tip for Landscape Riders: Multi-Field Inflation Can Fulfill the
Swampland Distance Conjecture | JCAP version. We added a new section discussing non-Gaussianities,
along with a new figure. Several minor drafting changes were also made | null | 10.1088/1475-7516/2020/02/004 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how both the swampland distance conjecture and the Lyth bound affect
the parameter space of multi-field models of inflation. A generic feature of
multi-field inflation is that the geodesic distance
$\left[\Delta\phi\right]_\text{G}$ separating any two points laying along the
inflationary trajectory differs from the non-geodesic distance
$\left[\Delta\phi\right]_\text{NG}$ traversed by the inflaton between those
points. These distances must respect a relation of the form
$\left[\Delta\phi\right]_\text{G} =
f\left(\left[\Delta\phi\right]_\text{NG}\right) \leq
\left[\Delta\phi\right]_\text{NG}$, where $f$ is a function determined by the
specific multi-field model under scrutiny. We show that this relation leads to
important constraints on the parameter space characterizing the multi-field
dynamics. Indeed, the swampland distance conjecture implies an upper bound on
$\left[\Delta\phi\right]_\text{G}$ set by the details of the ultraviolet
completion of inflation, whereas the Lyth bound implies a lower bound on
$\left[\Delta\phi\right]_\text{NG}$ determined by the value of the
tensor-to-scalar ratio. If future observations confirm the existence of
primordial tensor perturbations, these two bounds combined lead to tight
constraints on the possible values of the entropy mass of the isocurvature
fields orthogonal to the inflationary trajectory and the rate of turn of the
inflationary trajectory in multi-field space. We analyze the emerging
constraints in detail for the particular case of two-field inflation in
hyperbolic field spaces.
| [
{
"created": "Thu, 13 Jun 2019 16:01:21 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2020 15:01:28 GMT",
"version": "v2"
}
] | 2020-02-12 | [
[
"Bravo",
"Rafael",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Riquelme",
"Simon",
""
]
] | We study how both the swampland distance conjecture and the Lyth bound affect the parameter space of multi-field models of inflation. A generic feature of multi-field inflation is that the geodesic distance $\left[\Delta\phi\right]_\text{G}$ separating any two points laying along the inflationary trajectory differs from the non-geodesic distance $\left[\Delta\phi\right]_\text{NG}$ traversed by the inflaton between those points. These distances must respect a relation of the form $\left[\Delta\phi\right]_\text{G} = f\left(\left[\Delta\phi\right]_\text{NG}\right) \leq \left[\Delta\phi\right]_\text{NG}$, where $f$ is a function determined by the specific multi-field model under scrutiny. We show that this relation leads to important constraints on the parameter space characterizing the multi-field dynamics. Indeed, the swampland distance conjecture implies an upper bound on $\left[\Delta\phi\right]_\text{G}$ set by the details of the ultraviolet completion of inflation, whereas the Lyth bound implies a lower bound on $\left[\Delta\phi\right]_\text{NG}$ determined by the value of the tensor-to-scalar ratio. If future observations confirm the existence of primordial tensor perturbations, these two bounds combined lead to tight constraints on the possible values of the entropy mass of the isocurvature fields orthogonal to the inflationary trajectory and the rate of turn of the inflationary trajectory in multi-field space. We analyze the emerging constraints in detail for the particular case of two-field inflation in hyperbolic field spaces. |
1304.4389 | Le\'on Berdichevsky | Leon Berdichevsky and Bat-el Dahan | Local gravitational solutions dual to M2-branes intersecting and/or
ending on M5-branes | 12 pages, added references | null | 10.1007/JHEP08(2013)061 | WIS/02/13-APR-DPPA | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct local solutions to eleven-dimensional supergravity describing
M2-branes intersecting and/or ending on M5-branes, in the near-horizon limit of
the M2-branes. Global solutions describing these theories should have 16
supercharges and asymptotic AdS_4 x S^7 regions, as well as M5-branes wrapping
AdS_3 x S^3 subspaces. We construct the local solution describing a stack of an
arbitrary number of M5-branes with AdS_3 x S^3 worldvolume and arbitrary
M2-brane charge. Our construction provides a mechanism to get around the no-go
theorem that rules out the existence of global solutions preserving 16
supercharges interpolating between AdS_7 x S^4 and AdS_4 x S^7 regions.
| [
{
"created": "Tue, 16 Apr 2013 10:24:05 GMT",
"version": "v1"
},
{
"created": "Thu, 23 May 2013 16:51:41 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Berdichevsky",
"Leon",
""
],
[
"Dahan",
"Bat-el",
""
]
] | We construct local solutions to eleven-dimensional supergravity describing M2-branes intersecting and/or ending on M5-branes, in the near-horizon limit of the M2-branes. Global solutions describing these theories should have 16 supercharges and asymptotic AdS_4 x S^7 regions, as well as M5-branes wrapping AdS_3 x S^3 subspaces. We construct the local solution describing a stack of an arbitrary number of M5-branes with AdS_3 x S^3 worldvolume and arbitrary M2-brane charge. Our construction provides a mechanism to get around the no-go theorem that rules out the existence of global solutions preserving 16 supercharges interpolating between AdS_7 x S^4 and AdS_4 x S^7 regions. |
1405.6189 | Brett D. Altschul | Brett Altschul | Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and
CPT Violation | 9 pages | null | 10.1103/PhysRevD.90.021701 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Modified theories of electrodynamics that include violations of Lorentz
symmetry often allow for the possibility of vacuum Cerenkov radiation. This
phenomenon has previously been studied in a number of Lorentz-violating
theories, but none of the methods that have previously been developed are
sufficient to study a theory with a timelike Chern-Simons term $k_{AF}$,
because such a term may generate exponentially growing solutions to the field
equations. Searching for vacuum Cerenkov radiation in a theory with a purely
timelike Chern-Simons term using only elementary methods, we find that, despite
the presence of the runaway modes, a charge in uniform nonrelativistic motion
does not radiate energy, up to second order in the velocity.
| [
{
"created": "Fri, 23 May 2014 19:40:41 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Altschul",
"Brett",
""
]
] | Modified theories of electrodynamics that include violations of Lorentz symmetry often allow for the possibility of vacuum Cerenkov radiation. This phenomenon has previously been studied in a number of Lorentz-violating theories, but none of the methods that have previously been developed are sufficient to study a theory with a timelike Chern-Simons term $k_{AF}$, because such a term may generate exponentially growing solutions to the field equations. Searching for vacuum Cerenkov radiation in a theory with a purely timelike Chern-Simons term using only elementary methods, we find that, despite the presence of the runaway modes, a charge in uniform nonrelativistic motion does not radiate energy, up to second order in the velocity. |
2107.05716 | Patrick Concha | Patrick Concha, Diego Pe\~nafiel, Lucrezia Ravera, Evelyn Rodr\'iguez | Three-dimensional Maxwellian Carroll gravity theory and the cosmological
constant | 18 pages | Phys. Lett. B 823 (2021), 136735 | 10.1016/j.physletb.2021.136735 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we present the three-dimensional Maxwell Carroll gravity by
considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity
theory defined in three spacetime dimensions. We show that an extension of the
Maxwellian Carroll symmetry is necessary in order for the invariant tensor of
the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently,
we discuss the origin of the aforementioned algebra and theory as a flat limit.
We show that the theoretical setup with cosmological constant yielding the
extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological
constant limit is based on an enlarged extended version of the Carroll
symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor
allowing the proper construction of a Chern-Simons gravity theory which
reproduces the extended Maxwellian Carroll gravity in the flat limit.
| [
{
"created": "Mon, 12 Jul 2021 20:13:03 GMT",
"version": "v1"
}
] | 2021-11-03 | [
[
"Concha",
"Patrick",
""
],
[
"Peñafiel",
"Diego",
""
],
[
"Ravera",
"Lucrezia",
""
],
[
"Rodríguez",
"Evelyn",
""
]
] | In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on an enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit. |
0808.3474 | Damiano Anselmi | Damiano Anselmi | Weighted power counting and Lorentz violating gauge theories. II:
Classification | 27 pages; analysis of spurious subdivergences considerably improved,
Ann. Phys | Annals Phys.324:1058-1077,2009 | 10.1016/j.aop.2008.12.007 | IFUP-TH 2008/18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify the local, polynomial, unitary gauge theories that violate
Lorentz symmetry explicitly at high energies and are renormalizable by weighted
power counting. We study the structure of such theories and prove that
renormalization does not generate higher time derivatives. We work out the
conditions to renormalize vertices that are usually non-renormalizable, such as
the two scalar-two fermion interactions and the four fermion interactions. A
number of four dimensional examples are presented.
| [
{
"created": "Tue, 26 Aug 2008 10:18:12 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2009 11:02:00 GMT",
"version": "v2"
}
] | 2009-04-02 | [
[
"Anselmi",
"Damiano",
""
]
] | We classify the local, polynomial, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. We study the structure of such theories and prove that renormalization does not generate higher time derivatives. We work out the conditions to renormalize vertices that are usually non-renormalizable, such as the two scalar-two fermion interactions and the four fermion interactions. A number of four dimensional examples are presented. |
hep-th/9903103 | Tatsuo Kobayashi | Masud Chaichian and Tatsuo Kobayashi | On Different Criteria for Confinement | 11 pages, latex | Phys.Lett. B481 (2000) 26-32 | 10.1016/S0370-2693(00)00438-X | HIP-1999-11/TH | hep-th hep-ph | null | We compare two approaches in supersymmetric confinement, the Seiberg
formulation and the superconvergence rule. For the latter, the critical point
is $\gamma_{00}=0$ in the Landau gauge. We find $4\gamma_{00}=\beta_0$ is the
critical point for most of confining theories without a tree-level
superpotential in the Seiberg formulation, in particular, in the large $N_c$
and $N_f$ limit. We show how confining theories with a discrete symmetry and a
tree-level superpotential connect these two critical points: the large and
small discrete symmetry limits correspond to the critical points
$4\gamma_{00}=\beta_0$ and $\gamma_{00}=0$, respectively.
| [
{
"created": "Thu, 11 Mar 1999 16:16:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chaichian",
"Masud",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] | We compare two approaches in supersymmetric confinement, the Seiberg formulation and the superconvergence rule. For the latter, the critical point is $\gamma_{00}=0$ in the Landau gauge. We find $4\gamma_{00}=\beta_0$ is the critical point for most of confining theories without a tree-level superpotential in the Seiberg formulation, in particular, in the large $N_c$ and $N_f$ limit. We show how confining theories with a discrete symmetry and a tree-level superpotential connect these two critical points: the large and small discrete symmetry limits correspond to the critical points $4\gamma_{00}=\beta_0$ and $\gamma_{00}=0$, respectively. |
2105.12347 | Oct\'avio Junqueira | Nelson R. F. Braga and Octavio C. Junqueira | Configuration entropy in the soft wall AdS/QCD model and the Wien law | 11 pages, 4 figures | null | 10.1016/j.physletb.2021.136485 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The soft wall AdS/QCD holographic model provides simple estimates for the
spectra of light mesons and glueballs satisfying linear Regge trajectories. It
is also an interesting tool to represent the confinement/deconfinement
transition of a gauge theory, that is pictured as a Hawking-Page transition
from a dual geometry with no horizon to a black hole space. A very interesting
tool to analyze stability of general physical systems that are localized in
space is the configuration (or complexity) entropy (CE). This quantity,
inspired in Shannon information entropy, is defined in terms of the energy
density of the system in momentum space. The purpose of this work is to use the
CE to investigate the stability of the soft wall background as a function of
the temperature. A nontrivial aspect is that the geometry is an anti-de Sitter
black hole, that has a singular energy density. In order to make it possible to
calculate the CE, we first propose a regularized form for the black hole energy
density. Then, calculating the CE, it is observed that its behavior is
consistently related to the black hole instability in anti-de Sitter space.
Another interesting result that emerges from this analysis is that the
regularized energy density shows a behavior similar to the Wien law, satisfied
by black body radiation. That means: the momentum $ k_{max} $ where the energy
density is maximum, varies with the temperature $T$ obeying the relation: $ T /
k_{max} = constant $ in the deconfined phase.
| [
{
"created": "Wed, 26 May 2021 06:25:58 GMT",
"version": "v1"
}
] | 2021-07-07 | [
[
"Braga",
"Nelson R. F.",
""
],
[
"Junqueira",
"Octavio C.",
""
]
] | The soft wall AdS/QCD holographic model provides simple estimates for the spectra of light mesons and glueballs satisfying linear Regge trajectories. It is also an interesting tool to represent the confinement/deconfinement transition of a gauge theory, that is pictured as a Hawking-Page transition from a dual geometry with no horizon to a black hole space. A very interesting tool to analyze stability of general physical systems that are localized in space is the configuration (or complexity) entropy (CE). This quantity, inspired in Shannon information entropy, is defined in terms of the energy density of the system in momentum space. The purpose of this work is to use the CE to investigate the stability of the soft wall background as a function of the temperature. A nontrivial aspect is that the geometry is an anti-de Sitter black hole, that has a singular energy density. In order to make it possible to calculate the CE, we first propose a regularized form for the black hole energy density. Then, calculating the CE, it is observed that its behavior is consistently related to the black hole instability in anti-de Sitter space. Another interesting result that emerges from this analysis is that the regularized energy density shows a behavior similar to the Wien law, satisfied by black body radiation. That means: the momentum $ k_{max} $ where the energy density is maximum, varies with the temperature $T$ obeying the relation: $ T / k_{max} = constant $ in the deconfined phase. |
2101.07234 | Roberto Tanzi | Roberto Tanzi and Domenico Giulini | Asymptotic symmetries of scalar electrodynamics and of the abelian Higgs
model in Hamiltonian formulation | We have modified the first part of section 2 and expanded sections
4.4 and 4.5. In addition, we have corrected a few typos, including a wrong
index in equation (2.7). The results and the conclusions are unchanged.
Accepted on JHEP | null | 10.1007/JHEP08(2021)117 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the asymptotic symmetry group of a scalar field
minimally-coupled to an abelian gauge field using the Hamiltonian formulation.
This extends previous work by Henneaux and Troessaert on the pure
electromagnetic case. We deal with minimally coupled massive and massless
scalar fields and find that they behave differently insofar as the latter do
not allow for canonically implemented asymptotic boost symmetries. We also
consider the abelian Higgs model and show that its asymptotic canonical
symmetries reduce to the Poincar\'e group in an unproblematic fashion.
| [
{
"created": "Mon, 18 Jan 2021 18:38:41 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Aug 2021 14:42:20 GMT",
"version": "v2"
}
] | 2021-09-15 | [
[
"Tanzi",
"Roberto",
""
],
[
"Giulini",
"Domenico",
""
]
] | We investigate the asymptotic symmetry group of a scalar field minimally-coupled to an abelian gauge field using the Hamiltonian formulation. This extends previous work by Henneaux and Troessaert on the pure electromagnetic case. We deal with minimally coupled massive and massless scalar fields and find that they behave differently insofar as the latter do not allow for canonically implemented asymptotic boost symmetries. We also consider the abelian Higgs model and show that its asymptotic canonical symmetries reduce to the Poincar\'e group in an unproblematic fashion. |
1912.06072 | Andreas P. Braun | Andreas P. Braun | M-Theory and Orientifolds | 41 pages, 3 figures; textual improvements and clarifications. To
appear in JHEP | null | null | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred
Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown
to lift to M-Theory on twisted connected sum $G_2$ manifolds. Beautifully, the
two building blocks forming the $G_2$ manifold correspond to the open and
closed string sectors. As an application, we show how to use such lifts to
explicitly study open string moduli. Finally, we use our analysis to construct
examples of $G_2$ manifolds with different inequivalent TCS realizations.
| [
{
"created": "Thu, 12 Dec 2019 16:49:55 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Sep 2020 16:59:51 GMT",
"version": "v2"
}
] | 2020-09-08 | [
[
"Braun",
"Andreas P.",
""
]
] | We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum $G_2$ manifolds. Beautifully, the two building blocks forming the $G_2$ manifold correspond to the open and closed string sectors. As an application, we show how to use such lifts to explicitly study open string moduli. Finally, we use our analysis to construct examples of $G_2$ manifolds with different inequivalent TCS realizations. |
hep-th/0406248 | Enrico Deotto | Enrico Deotto | Supersymmetry in 1-dimensional systems | PhD thesis by E.Deotto (Nov.2001) | null | null | null | hep-th | null | Various aspects of Supersymmetry in 1-dimensional systems are analyzed.
| [
{
"created": "Sun, 27 Jun 2004 10:21:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Deotto",
"Enrico",
""
]
] | Various aspects of Supersymmetry in 1-dimensional systems are analyzed. |
1310.7943 | Kazuya Yonekura | Kazuya Yonekura | Supersymmetric gauge theory, (2,0) theory and twisted 5d
Super-Yang-Mills | 73 pages, 4 figures. v2:Published version | null | 10.1007/JHEP01(2014)142 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Twisted compactification of the 6d N=(2,0) theories on a punctured Riemann
surface give a large class of 4d N=1 and N=2 gauge theories, called class S. We
argue that nonperturbative dynamics of class S theories are described by 5d
maximal Super-Yang-Mills (SYM) twisted on the Riemann surface. In a sense,
twisted 5d SYM might be regarded as a "Lagrangian" for class S theories on
R^{1,2} times S^1. First, we show that twisted 5d SYM gives generalized
Hitchin's equations which was proposed recently. Then, we discuss how to
identify chiral operators with quantities in twisted 5d SYM. Mesons, or
holomorphic moment maps, are identified with operators at punctures which are
realized as 3d superconformal theories T_rho[G] coupled to twisted 5d SYM.
"Baryons" are identified qualitatively through a study of 4d N=2 Higgs
branches. We also derive a simple formula for dynamical superpotential vev
which is relevant for BPS domain wall tensions. With these tools, we examine
many examples of 4d N=1 theories with several phases such as confining, Higgs,
and Coulomb phases, and show perfect agreements between field theories and
twisted 5d SYM. Spectral curve is an essential tool to solve generalized
Hitchin's equations, and our results clarify the physical information encoded
in the curve.
| [
{
"created": "Tue, 29 Oct 2013 20:00:08 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 19:04:47 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Yonekura",
"Kazuya",
""
]
] | Twisted compactification of the 6d N=(2,0) theories on a punctured Riemann surface give a large class of 4d N=1 and N=2 gauge theories, called class S. We argue that nonperturbative dynamics of class S theories are described by 5d maximal Super-Yang-Mills (SYM) twisted on the Riemann surface. In a sense, twisted 5d SYM might be regarded as a "Lagrangian" for class S theories on R^{1,2} times S^1. First, we show that twisted 5d SYM gives generalized Hitchin's equations which was proposed recently. Then, we discuss how to identify chiral operators with quantities in twisted 5d SYM. Mesons, or holomorphic moment maps, are identified with operators at punctures which are realized as 3d superconformal theories T_rho[G] coupled to twisted 5d SYM. "Baryons" are identified qualitatively through a study of 4d N=2 Higgs branches. We also derive a simple formula for dynamical superpotential vev which is relevant for BPS domain wall tensions. With these tools, we examine many examples of 4d N=1 theories with several phases such as confining, Higgs, and Coulomb phases, and show perfect agreements between field theories and twisted 5d SYM. Spectral curve is an essential tool to solve generalized Hitchin's equations, and our results clarify the physical information encoded in the curve. |
1204.0773 | Toshiaki Fujimori | Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Norisuke
Sakai | Higher Derivative Corrections to Non-Abelian Vortex Effective Theory | 45 pages, 3 figures | Prog. Theor. Phys. 128 (2012), 67-103 | 10.1143/PTP.128.67 | IFUP-TH/2012-05; KUNS-2393; YGHP-12-46 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a systematic method to calculate higher derivative corrections to
low-energy effective theories of solitons, which are in general non-linear
sigma models on the moduli spaces of the solitons. By applying it to the
effective theory of a single BPS non-Abelian vortex in U(N) gauge theory with N
fundamental Higgs fields, we obtain four derivative corrections to the
effective sigma model on the moduli space C \times CP^{N-1}. We compare them
with the Nambu-Goto action and the Faddeev-Skyrme model. We also show that
Yang-Mills instantons/monopoles trapped inside a non-Abelian vortex
membrane/string are not modified in the presence of higher derivative terms.
| [
{
"created": "Tue, 3 Apr 2012 19:24:27 GMT",
"version": "v1"
}
] | 2012-08-07 | [
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] | We give a systematic method to calculate higher derivative corrections to low-energy effective theories of solitons, which are in general non-linear sigma models on the moduli spaces of the solitons. By applying it to the effective theory of a single BPS non-Abelian vortex in U(N) gauge theory with N fundamental Higgs fields, we obtain four derivative corrections to the effective sigma model on the moduli space C \times CP^{N-1}. We compare them with the Nambu-Goto action and the Faddeev-Skyrme model. We also show that Yang-Mills instantons/monopoles trapped inside a non-Abelian vortex membrane/string are not modified in the presence of higher derivative terms. |
hep-th/0106247 | Dietmar Klemm | Dietmar Klemm | Some Aspects of the de Sitter/CFT Correspondence | 20 pages, LaTeX, 1 figure. v4: Note added, final version to appear in
Nucl. Phys. B | Nucl.Phys. B625 (2002) 295-311 | 10.1016/S0550-3213(02)00007-X | IFUM-690-FT | hep-th gr-qc | null | We discuss several aspects of the proposed correspondence between quantum
gravity on de Sitter spaces and Euclidean conformal field theories. The central
charge appearing in the asymptotic symmetry algebra of three-dimensional de
Sitter space is derived both from the conformal anomaly and the transformation
law of the CFT stress tensor when going from dS_3 in planar coordinates to dS_3
with cosmological horizon. The two-point correlator for CFT operators coupling
to bulk scalars is obtained in static coordinates, corresponding to a CFT on a
cylinder. Correlation functions are also computed for CFTs on two-dimensional
hyperbolic space. We furthermore determine the energy momentum tensor and the
Casimir energy of the conformal field theory dual to the Schwarzschild-de
Sitter solution in five dimensions. Requiring the pressure to be positive
yields an upper bound for the black hole mass, given by the mass of the Nariai
solution. Beyond that bound, which is similar to the one found by Strominger
requiring the conformal weights of CFT operators to be real, one encounters
naked singularities.
| [
{
"created": "Tue, 26 Jun 2001 19:09:12 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2001 11:06:13 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Nov 2001 18:59:58 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Jan 2002 07:55:31 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Klemm",
"Dietmar",
""
]
] | We discuss several aspects of the proposed correspondence between quantum gravity on de Sitter spaces and Euclidean conformal field theories. The central charge appearing in the asymptotic symmetry algebra of three-dimensional de Sitter space is derived both from the conformal anomaly and the transformation law of the CFT stress tensor when going from dS_3 in planar coordinates to dS_3 with cosmological horizon. The two-point correlator for CFT operators coupling to bulk scalars is obtained in static coordinates, corresponding to a CFT on a cylinder. Correlation functions are also computed for CFTs on two-dimensional hyperbolic space. We furthermore determine the energy momentum tensor and the Casimir energy of the conformal field theory dual to the Schwarzschild-de Sitter solution in five dimensions. Requiring the pressure to be positive yields an upper bound for the black hole mass, given by the mass of the Nariai solution. Beyond that bound, which is similar to the one found by Strominger requiring the conformal weights of CFT operators to be real, one encounters naked singularities. |
2312.04756 | Theodore Brennan | T. Daniel Brennan and Kenneth Intriligator | Anomalies of 4d $Spin_G$ Theories | 48 pages plus Appendix | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider 't Hooft anomalies of four-dimensional gauge theories whose
fermion matter content admits $Spin_G(4)$ generalized spin structure, with $G$
either gauged or a global symmetry. We discuss methods to directly compute
$w_2\cup w_3$ 't Hooft anomalies involving Stiefel-Whitney classes of gauge and
flavor symmetry bundles that such theories can have on non-spin manifolds, e.g.
$M_4=\mathbb{CP}^2$. Such anomalies have been discussed for $SU(2)$ gauge
theory with adjoint fermions, where they were shown to give an effect that was
originally found in the Donaldson-Witten topological twist of ${\cal N}=2$ SYM
theory. We directly compute these anomalies for a variety of theories,
including general $G$ gauge theories with adjoint fermions, $SU(2)$ gauge
theory with fermions in general representations, and $Spin(N)$ gauge theories
with fundamental matter. We discuss aspects of matching these and other 't
Hooft anomalies in the IR phase where global symmetries are spontaneously
broken, in particular for general $G_{\rm gauge}$ theory with $N_f$ adjoint
Weyl fermions. For example, in the case of $N_f=2$ we discuss anomaly matching
in the IR phase consisting of $h^\vee _{G_{\rm gauge}}$ copies of a
$\mathbb{CP}^1$ non-linear sigma model, including for the $w_2w_3$ anomalies
when formulated with $Spin_{SU(2)_{\rm global}}(4)$ structure.
| [
{
"created": "Thu, 7 Dec 2023 23:55:52 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2024 20:48:54 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Jun 2024 17:02:50 GMT",
"version": "v3"
}
] | 2024-06-18 | [
[
"Brennan",
"T. Daniel",
""
],
[
"Intriligator",
"Kenneth",
""
]
] | We consider 't Hooft anomalies of four-dimensional gauge theories whose fermion matter content admits $Spin_G(4)$ generalized spin structure, with $G$ either gauged or a global symmetry. We discuss methods to directly compute $w_2\cup w_3$ 't Hooft anomalies involving Stiefel-Whitney classes of gauge and flavor symmetry bundles that such theories can have on non-spin manifolds, e.g. $M_4=\mathbb{CP}^2$. Such anomalies have been discussed for $SU(2)$ gauge theory with adjoint fermions, where they were shown to give an effect that was originally found in the Donaldson-Witten topological twist of ${\cal N}=2$ SYM theory. We directly compute these anomalies for a variety of theories, including general $G$ gauge theories with adjoint fermions, $SU(2)$ gauge theory with fermions in general representations, and $Spin(N)$ gauge theories with fundamental matter. We discuss aspects of matching these and other 't Hooft anomalies in the IR phase where global symmetries are spontaneously broken, in particular for general $G_{\rm gauge}$ theory with $N_f$ adjoint Weyl fermions. For example, in the case of $N_f=2$ we discuss anomaly matching in the IR phase consisting of $h^\vee _{G_{\rm gauge}}$ copies of a $\mathbb{CP}^1$ non-linear sigma model, including for the $w_2w_3$ anomalies when formulated with $Spin_{SU(2)_{\rm global}}(4)$ structure. |
hep-th/9712155 | Boris Pioline | B. Pioline (CERN and Ecole Polytechnique) | D-effects in Toroidally Compactified Type II String Theory | 1+6 pages, neuchatel.sty included | Fortsch.Phys.47:271-277,1999 | 10.1002/(SICI)1521-3978(199901)47:1/3<271::AID-PROP271>3.0.CO;2-S | CERN-TH/97-368, CPTH-PC589.1297 | hep-th | null | We review exact results obtained for R^4 couplings in maximally
supersymmetric type II string theories. These couplings offer a privileged
scene to understand the rules of semiclassical calculus in string theory. Upon
expansion in weak string coupling, they reveal an infinite sum of
non-perturbative e^{-1/g} effects that can be imputed to euclidean D-branes
wrapped on cycles of the compactification manifolds. They also shed light on
the relation between Dp-branes and D-(p-2)branes, D-strings and (p,q) strings,
instanton sums and soliton loops. The latter interpretation takes over in D<=6
in order to account for the e^{-1/g^2} effects, still mysterious from the point
of view of instanton calculus.
[To appear in the proceedings of the conference "Quantum Aspects of Gauge
Theories, Supersymmetry and Unification" held at Neuchatel University,
Switzerland, 18-23 September 1997.]
| [
{
"created": "Tue, 16 Dec 1997 15:03:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Pioline",
"B.",
"",
"CERN and Ecole Polytechnique"
]
] | We review exact results obtained for R^4 couplings in maximally supersymmetric type II string theories. These couplings offer a privileged scene to understand the rules of semiclassical calculus in string theory. Upon expansion in weak string coupling, they reveal an infinite sum of non-perturbative e^{-1/g} effects that can be imputed to euclidean D-branes wrapped on cycles of the compactification manifolds. They also shed light on the relation between Dp-branes and D-(p-2)branes, D-strings and (p,q) strings, instanton sums and soliton loops. The latter interpretation takes over in D<=6 in order to account for the e^{-1/g^2} effects, still mysterious from the point of view of instanton calculus. [To appear in the proceedings of the conference "Quantum Aspects of Gauge Theories, Supersymmetry and Unification" held at Neuchatel University, Switzerland, 18-23 September 1997.] |
0711.3992 | Eduardo Passos | E. Passos, K. E. L. de farias, M. A. Anacleto, E. Maciel, C. A. G.
Almeida | Radiatively induced finite and (un)determined Chern-Simons-like terms | 09 pages | null | 10.23880/psbj-16000253 10.23880/psbj-16000253 | Biophys. J., 7, (2023) | hep-th | http://creativecommons.org/licenses/by/4.0/ | The problem of Chern-Simons-like term induction via quantum corrections in
four-dimensions is investigated in two different cases. In the first case, we
consider two distinct approaches to deal with the exact fermion propagator of
the extended QED theory up to the first order in the $b$-coefficient. We find
different results for distinct approaches in the same regularization scheme. In
the second case, we show that when we use a modified derivative expansion
method and another regularization scheme, we obtain a result that exactly
coincides with one of the results obtained in the former case. This seems to
imply an ambiguity absence as one treats the fermion propagator and the
self-energy tensor properly.
| [
{
"created": "Mon, 26 Nov 2007 12:44:07 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2024 13:59:41 GMT",
"version": "v2"
}
] | 2024-03-04 | [
[
"Passos",
"E.",
""
],
[
"de farias",
"K. E. L.",
""
],
[
"Anacleto",
"M. A.",
""
],
[
"Maciel",
"E.",
""
],
[
"Almeida",
"C. A. G.",
""
]
] | The problem of Chern-Simons-like term induction via quantum corrections in four-dimensions is investigated in two different cases. In the first case, we consider two distinct approaches to deal with the exact fermion propagator of the extended QED theory up to the first order in the $b$-coefficient. We find different results for distinct approaches in the same regularization scheme. In the second case, we show that when we use a modified derivative expansion method and another regularization scheme, we obtain a result that exactly coincides with one of the results obtained in the former case. This seems to imply an ambiguity absence as one treats the fermion propagator and the self-energy tensor properly. |
hep-th/0011126 | Evaldo M. F. Curado | E. M. F. Curado and M. A. Rego-Monteiro | Multi Parametric Deformed Heisenberg Algebras: A Route to Complexity | latex, 17 pages, 5 PS figures; to be published in J. Phys. A: Math
and Gen (2001); a few sentences were added in order to clarify some points | J.Phys.A34:3253-3264,2001 | 10.1088/0305-4470/34/15/304 | CBPF-NF-066/00 | hep-th cond-mat.stat-mech math-ph math.MP nlin.SI quant-ph | null | We introduce a generalization of the Heisenberg algebra which is written in
terms of a functional of one generator of the algebra, $f(J_0)$, that can be
any analytical function. When $f$ is linear with slope $\theta$, we show that
the algebra in this case corresponds to $q$-oscillators for $q^2 = \tan
\theta$. The case where $f$ is a polynomial of order $n$ in $J_0$ corresponds
to a $n$-parameter deformed Heisenberg algebra. The representations of the
algebra, when $f$ is any analytical function, are shown to be obtained through
the study of the stability of the fixed points of $f$ and their composed
functions. The case when $f$ is a quadratic polynomial in $J_0$, the simplest
non-linear scheme which is able to create chaotic behavior, is analyzed in
detail and special regions in the parameter space give representations that
cannot be continuously deformed to representations of Heisenberg algebra.
| [
{
"created": "Tue, 14 Nov 2000 21:56:28 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Mar 2001 18:16:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Curado",
"E. M. F.",
""
],
[
"Rego-Monteiro",
"M. A.",
""
]
] | We introduce a generalization of the Heisenberg algebra which is written in terms of a functional of one generator of the algebra, $f(J_0)$, that can be any analytical function. When $f$ is linear with slope $\theta$, we show that the algebra in this case corresponds to $q$-oscillators for $q^2 = \tan \theta$. The case where $f$ is a polynomial of order $n$ in $J_0$ corresponds to a $n$-parameter deformed Heisenberg algebra. The representations of the algebra, when $f$ is any analytical function, are shown to be obtained through the study of the stability of the fixed points of $f$ and their composed functions. The case when $f$ is a quadratic polynomial in $J_0$, the simplest non-linear scheme which is able to create chaotic behavior, is analyzed in detail and special regions in the parameter space give representations that cannot be continuously deformed to representations of Heisenberg algebra. |
hep-th/0203113 | Ira Wasserman | Gary Shiu and Ira Wasserman | On the Signature of Short Distance Scale in the Cosmic Microwave
Background | null | Phys.Lett. B536 (2002) 1-8 | 10.1016/S0370-2693(02)01835-X | null | hep-th astro-ph gr-qc hep-ph | null | We discuss the signature of the scale of short distance physics in the Cosmic
Microwave Background. In addition to effects which depend on the ratio of
Hubble scale H during inflation to the energy scale M of the short distance
physics, there can be effects which depend on $\dot{\phi}^2/M^4$ where $\phi$
is the {\it classical background} of the inflaton field. Therefore, the
imprints of short distance physics on the spectrum of Cosmic Microwave
Background anisotropies generically involve a {\it double expansion}. We
present some examples of a single scalar field with higher order kinetic terms
coupled to Einstein gravity, and illustrate that the effects of short distance
physics on the Cosmic Microwave Background can be substantial even for H << M,
and generically involve corrections that are not simply powers of H/M. The size
of such effects can depend on the short distance scale non-analytically even
though the action is local.
| [
{
"created": "Tue, 12 Mar 2002 19:02:50 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Shiu",
"Gary",
""
],
[
"Wasserman",
"Ira",
""
]
] | We discuss the signature of the scale of short distance physics in the Cosmic Microwave Background. In addition to effects which depend on the ratio of Hubble scale H during inflation to the energy scale M of the short distance physics, there can be effects which depend on $\dot{\phi}^2/M^4$ where $\phi$ is the {\it classical background} of the inflaton field. Therefore, the imprints of short distance physics on the spectrum of Cosmic Microwave Background anisotropies generically involve a {\it double expansion}. We present some examples of a single scalar field with higher order kinetic terms coupled to Einstein gravity, and illustrate that the effects of short distance physics on the Cosmic Microwave Background can be substantial even for H << M, and generically involve corrections that are not simply powers of H/M. The size of such effects can depend on the short distance scale non-analytically even though the action is local. |
1802.03545 | Boris Kosyakov | B. P. Kosyakov, E. Yu. Popov, and M. A. Vronsky | Correspondence between the physics of extremal black holes and that of
stable heavy atomic nuclei | 24 pages, 3 figures; v2: several typos fixed; v3: 16 pages; text
shortened, results unchanged; v4: 17 pages; improved presentation; v5: 18
pages; minor improvement; v6 minor improvement | null | 10.1088/1361-6382/ab2447 | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extremal black holes are immune of Hawking evaporation. On the other hand,
some heavy atomic nuclei feature extraordinary stability to spontaneous
transmutations changing their mass numbers. The fact that extremal black holes
and stable nuclei share a common trait, that of defying spontaneous ejection of
their constituents, suggests that a good part of nuclear physics is modelled on
physics of extremal black holes through a simple version of gauge/gravity
duality. A general criterion for discriminating between stable and unstable
microscopic systems can be formulated to gain a new insight into some
imperfectly understood phenomena, such as instability of truly neutral spinless
particles (Higgs bosons, $\pi_0$, quarkonia, glueballs).
| [
{
"created": "Sat, 10 Feb 2018 08:15:10 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Feb 2018 08:14:32 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Mar 2018 06:08:05 GMT",
"version": "v3"
},
{
"created": "Tue, 26 Jun 2018 09:23:55 GMT",
"version": "v4"
},
{
"created": "Sun, 30 Dec 2018 19:05:15 GMT",
"version": "v5"
},
{
"created": "Wed, 22 May 2019 05:50:31 GMT",
"version": "v6"
}
] | 2019-09-04 | [
[
"Kosyakov",
"B. P.",
""
],
[
"Popov",
"E. Yu.",
""
],
[
"Vronsky",
"M. A.",
""
]
] | Extremal black holes are immune of Hawking evaporation. On the other hand, some heavy atomic nuclei feature extraordinary stability to spontaneous transmutations changing their mass numbers. The fact that extremal black holes and stable nuclei share a common trait, that of defying spontaneous ejection of their constituents, suggests that a good part of nuclear physics is modelled on physics of extremal black holes through a simple version of gauge/gravity duality. A general criterion for discriminating between stable and unstable microscopic systems can be formulated to gain a new insight into some imperfectly understood phenomena, such as instability of truly neutral spinless particles (Higgs bosons, $\pi_0$, quarkonia, glueballs). |
hep-th/0309111 | Lara Anderson | Lara B. Anderson and James T. Wheeler | Biconformal supergravity and the AdS/CFT conjecture | 35 pages, adjusted group nomenclature, 1 reference and
acknowledgements added | Nucl.Phys. B686 (2004) 285-309 | 10.1016/j.nuclphysb.2004.02.034 | USU-FTG-635 | hep-th | null | Biconformal supergravity models provide a new gauging of the superconformal
group relevant to the Maldacena conjecture. Using the group quotient method to
biconformally gauge SU(2,2|N), we generate a 16-dim superspace. We write the
most general even- and odd-parity actions linear in the curvatures, the bosonic
sector of which is known to descend to general relativity on a 4-dim manifold.
| [
{
"created": "Thu, 11 Sep 2003 04:59:17 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2003 23:16:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Anderson",
"Lara B.",
""
],
[
"Wheeler",
"James T.",
""
]
] | Biconformal supergravity models provide a new gauging of the superconformal group relevant to the Maldacena conjecture. Using the group quotient method to biconformally gauge SU(2,2|N), we generate a 16-dim superspace. We write the most general even- and odd-parity actions linear in the curvatures, the bosonic sector of which is known to descend to general relativity on a 4-dim manifold. |
hep-th/0003154 | Stefano Bellucci | S. Bellucci, E. Ivanov | N=(4,4), 2D supergravity in SU(2)xSU(2) harmonic superspace | 35 pages, LaTeX, Accepted for publication in Nucl. Phys. B, PACS:
04.65.+e,11.30.Pb | Nucl.Phys. B587 (2000) 445-480 | 10.1016/S0550-3213(00)00347-3 | LNF-00/009 (P), JINR-E2-99-341 | hep-th | null | We work out the basics of conformal $N=(4,4)$, 2D supergravity in the
$N=(4,4)$, 2D analytic harmonic superspace with two independent sets of
harmonic variables. We define the relevant most general analytic superspace
diffeomorphism group and show that in the flat limit it goes over into the
``large'' $N=(4,4)$, 2D superconformal group. The basic objects of the
supergravity considered are analytic vielbeins covariantizing two
analyticity-preserving harmonic derivatives. For self-consistency they should
be constrained in a certain way. We solve the constraints and show that the
remaining irreducible field content in a WZ gauge amounts to a new short
$N=(4,4)$ Weyl supermultiplet. As in the previously known cases, it involves no
auxiliary fields and the number of remaining components in it coincides with
the number of residual gauge invariances. We discuss various truncations of
this ``master'' conformal supergravity group and its compensations via
couplings to $N=(4,4)$ superconformal matter multiplets. Besides recovering the
standard minimal off-shell $N=(4,4)$ conformal and Poincar\'e supergravity
multiplets, we find, at the linearized level, several new off-shell gauge
representations.
| [
{
"created": "Fri, 17 Mar 2000 16:31:41 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2000 18:20:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bellucci",
"S.",
""
],
[
"Ivanov",
"E.",
""
]
] | We work out the basics of conformal $N=(4,4)$, 2D supergravity in the $N=(4,4)$, 2D analytic harmonic superspace with two independent sets of harmonic variables. We define the relevant most general analytic superspace diffeomorphism group and show that in the flat limit it goes over into the ``large'' $N=(4,4)$, 2D superconformal group. The basic objects of the supergravity considered are analytic vielbeins covariantizing two analyticity-preserving harmonic derivatives. For self-consistency they should be constrained in a certain way. We solve the constraints and show that the remaining irreducible field content in a WZ gauge amounts to a new short $N=(4,4)$ Weyl supermultiplet. As in the previously known cases, it involves no auxiliary fields and the number of remaining components in it coincides with the number of residual gauge invariances. We discuss various truncations of this ``master'' conformal supergravity group and its compensations via couplings to $N=(4,4)$ superconformal matter multiplets. Besides recovering the standard minimal off-shell $N=(4,4)$ conformal and Poincar\'e supergravity multiplets, we find, at the linearized level, several new off-shell gauge representations. |
1403.3225 | Mairi Sakellariadou | Thomas Elghozi, William Nelson, Mairi Sakellariadou | Cusps and pseudo-cusps in strings with Y-junctions | 29 pages, 13 figures Amended version to match publication | Phys.Rev. D90 (2014) 12, 123517 | 10.1103/PhysRevD.90.123517 | KCL-PH-TH/2014-7 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the occurrence of cuspy events on a light string stretched between
two Y-junctions with fixed heavy strings. We first present an analytic study
and give a solid criterion to discriminate between cuspy and non-cuspy string
configurations. We then describe a numerical code, built to test this analysis.
Our numerical investigation allows us to look at the correlations between
string network's parameters and the occurrence of cuspy phenomena. We show that
the presence of large amplitude waves on the light string leads to cuspy
events. We then relate the occurrence of cuspy events to features like the
number of vibration modes on the string or the string's root-mean-square
velocity.
| [
{
"created": "Thu, 13 Mar 2014 10:32:47 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2014 16:06:05 GMT",
"version": "v2"
}
] | 2015-03-20 | [
[
"Elghozi",
"Thomas",
""
],
[
"Nelson",
"William",
""
],
[
"Sakellariadou",
"Mairi",
""
]
] | We study the occurrence of cuspy events on a light string stretched between two Y-junctions with fixed heavy strings. We first present an analytic study and give a solid criterion to discriminate between cuspy and non-cuspy string configurations. We then describe a numerical code, built to test this analysis. Our numerical investigation allows us to look at the correlations between string network's parameters and the occurrence of cuspy phenomena. We show that the presence of large amplitude waves on the light string leads to cuspy events. We then relate the occurrence of cuspy events to features like the number of vibration modes on the string or the string's root-mean-square velocity. |
1510.06975 | Weishun Zhong | James T. Liu and Weishun Zhong | A Holographic c-Theorem for Schrodinger Spacetimes | 18 pages, 3 figures, footnote on limit cycles added, equation (3.17)
simplified | null | 10.1007/JHEP12(2015)179 | MCTP-15-23 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove a c-theorem for holographic renormalization group flows in a
Schrodinger spacetime that demonstrates that the effective radius L(r)
monotonically decreases from the UV to the IR, where r is the bulk radial
coordinate. This result assumes that the bulk matter satisfies the null energy
condition, but holds regardless of the value of the critical exponent z. We
also construct several numerical examples in a model where the Schrodinger
background is realized by a massive vector coupled to a real scalar. The full
Schrodinger group is realized when z=2, and in this case it is possible to
construct solutions with constant effective z(r)=2 along the entire flow.
| [
{
"created": "Fri, 23 Oct 2015 15:39:50 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 2015 16:05:57 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Liu",
"James T.",
""
],
[
"Zhong",
"Weishun",
""
]
] | We prove a c-theorem for holographic renormalization group flows in a Schrodinger spacetime that demonstrates that the effective radius L(r) monotonically decreases from the UV to the IR, where r is the bulk radial coordinate. This result assumes that the bulk matter satisfies the null energy condition, but holds regardless of the value of the critical exponent z. We also construct several numerical examples in a model where the Schrodinger background is realized by a massive vector coupled to a real scalar. The full Schrodinger group is realized when z=2, and in this case it is possible to construct solutions with constant effective z(r)=2 along the entire flow. |
0901.0969 | Davide Gaiotto | Davide Gaiotto and Alessandro Tomasiello | The gauge dual of Romans mass | 26 pages. v4: Corrected the sign for the probe brane potential | JHEP 1001:015,2010 | 10.1007/JHEP01(2010)015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We deform the recently proposed holographic duality between the ABJM N=6
Chern-Simons-matter theory and type IIA string theory in AdS4xCP3. We add a
non-zero Romans mass F_0, whose dual we identify as the sum of the Chern-Simons
levels for the two gauge groups. One can naturally identify four different
theories, with different amounts of supersymmetry and of flavor symmetry.
| [
{
"created": "Thu, 8 Jan 2009 03:50:09 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2009 16:08:51 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Nov 2010 21:52:48 GMT",
"version": "v3"
}
] | 2010-11-24 | [
[
"Gaiotto",
"Davide",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | We deform the recently proposed holographic duality between the ABJM N=6 Chern-Simons-matter theory and type IIA string theory in AdS4xCP3. We add a non-zero Romans mass F_0, whose dual we identify as the sum of the Chern-Simons levels for the two gauge groups. One can naturally identify four different theories, with different amounts of supersymmetry and of flavor symmetry. |
2202.10813 | Sebasti\'an Franchino-Vi\~nas | S. Abdallah, S.A Franchino-Vi\~nas and M.B. Fr\"ob | Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for
$\gamma_*$ | v2 contains a note with additional references/comments added after
the publication of the proceedings. 8 pages, 2 figures, contribution to The
European Physical Society Conference on High Energy Physics (EPS-HEP2021) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the conformal anomaly for a Weyl fermion in four dimensions that
has generated some debate recently. We employ a perturbative expansion for the
metric around Minkowski space, dimensional regularization and a
Breitenlohner--Maison prescription for the chiral $\gamma$ matrix. We obtain a
vanishing odd-parity contribution for Weyl fermions in four dimensions, while
the even-parity contribution is exactly half the one for a Dirac fermion.
| [
{
"created": "Tue, 22 Feb 2022 11:10:41 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Apr 2022 09:00:28 GMT",
"version": "v2"
}
] | 2022-04-15 | [
[
"Abdallah",
"S.",
""
],
[
"Franchino-Viñas",
"S. A",
""
],
[
"Fröb",
"M. B.",
""
]
] | We revisit the conformal anomaly for a Weyl fermion in four dimensions that has generated some debate recently. We employ a perturbative expansion for the metric around Minkowski space, dimensional regularization and a Breitenlohner--Maison prescription for the chiral $\gamma$ matrix. We obtain a vanishing odd-parity contribution for Weyl fermions in four dimensions, while the even-parity contribution is exactly half the one for a Dirac fermion. |
2404.13175 | Ashton Lowenstein | Ashton Lowenstein | Open-Closed String Duality, Branes, and Topological Recursion | 59 pages, 6 figures (v2: Altered discussion regarding $\mathcal{N} =
2$ trumpet in sections 5 and 8 to make the comparison to existing results
clearer) | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider matrix models exhibiting open-closed string duality in
two-dimensional string theories with various amounts of supersymmetry. In
particular, a relationship between matrix models in the $\beta = 2$
Wigner-Dyson class and models in the $(1 + 2\Gamma, 2)$ Altland-Zirnbauer class
relates the perturbative solutions of the two systems' string equations.
Point-like operator insertions in the closed string theory are mapped to the
topological expansion of the free energy in the open string theory. We compute
correlation functions of macroscopic loop operators and FZZT branes in a
general topological gravity background. The relationship between the
topological recursion of moduli space volumes and branes is discussed by
analyzing the Virasoro conditions in the matrix models.
| [
{
"created": "Fri, 19 Apr 2024 20:57:09 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Apr 2024 18:53:09 GMT",
"version": "v2"
}
] | 2024-04-26 | [
[
"Lowenstein",
"Ashton",
""
]
] | We consider matrix models exhibiting open-closed string duality in two-dimensional string theories with various amounts of supersymmetry. In particular, a relationship between matrix models in the $\beta = 2$ Wigner-Dyson class and models in the $(1 + 2\Gamma, 2)$ Altland-Zirnbauer class relates the perturbative solutions of the two systems' string equations. Point-like operator insertions in the closed string theory are mapped to the topological expansion of the free energy in the open string theory. We compute correlation functions of macroscopic loop operators and FZZT branes in a general topological gravity background. The relationship between the topological recursion of moduli space volumes and branes is discussed by analyzing the Virasoro conditions in the matrix models. |
hep-th/9707263 | Max Chaves | M. Chaves | Boson metastable ground states with spontaneous symmetry breaking | null | Phys.Lett. B415 (1997) 175-178 | 10.1016/S0370-2693(97)01236-7 | UCR-EF-51 | hep-th | null | We show that a system of bosons in a T=0 quantum field theory can present
metastable ground states with spontaneous symmetry breaking, even in the
absence of an imaginary mass term. This gives a natural explanation to the
Davis-Shellard background field \exp(-i \omega_0 t) and adds a new degree of
freedom in boson systems, with possible applications in cosmology, condensed
matter and high energy physics.
| [
{
"created": "Thu, 31 Jul 1997 23:51:14 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Chaves",
"M.",
""
]
] | We show that a system of bosons in a T=0 quantum field theory can present metastable ground states with spontaneous symmetry breaking, even in the absence of an imaginary mass term. This gives a natural explanation to the Davis-Shellard background field \exp(-i \omega_0 t) and adds a new degree of freedom in boson systems, with possible applications in cosmology, condensed matter and high energy physics. |
hep-th/0312206 | Giuseppe D'Appollonio | Giuseppe D'Appollonio | Gravitational waves from WZW models | Contribution to the proceedings of the RTN-workshop ``The quantum
structure of space-time and the geometrical nature of the fundamental
interactions'', Copenhagen, September 15-20, 2003 | Class.Quant.Grav. 21 (2004) S1329-1336 | 10.1088/0264-9381/21/10/006 | LPTHE-P03-25 | hep-th | null | A brief review is given of the recent solution of a non-compact CFT
describing a NS-supported pp-wave background. We will first explain how to
compute the three and four-point correlators using current algebra techniques,
thereby showing that some generic features of the non-compact WZW models become
very clear in this simple context. We will then present the Penrose limit as a
contraction of an U(1)xSU(2)_k WZW model, an approach that could prove useful
in order to understand holography for pp-wave space-times. We will finally
comment on the string amplitudes and on the existence of two flat space limits.
| [
{
"created": "Wed, 17 Dec 2003 19:05:51 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"D'Appollonio",
"Giuseppe",
""
]
] | A brief review is given of the recent solution of a non-compact CFT describing a NS-supported pp-wave background. We will first explain how to compute the three and four-point correlators using current algebra techniques, thereby showing that some generic features of the non-compact WZW models become very clear in this simple context. We will then present the Penrose limit as a contraction of an U(1)xSU(2)_k WZW model, an approach that could prove useful in order to understand holography for pp-wave space-times. We will finally comment on the string amplitudes and on the existence of two flat space limits. |
1004.2333 | Yun-Song Piao | Jun Zhang, Yun-Song Piao | Preheating in Bubble Collisions | 5 pages, 4 figs, discussion improved, refs. added, and Fig.3 revised,
to publish in PRD | Phys.Rev.D82:043507,2010 | 10.1103/PhysRevD.82.043507 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a landscape with metastable minima, the bubbles will inevitably nucleate.
We show that during the bubbles collide, due to the dramatically oscillating of
the field at the collision region, the energy deposited in the bubble walls can
be efficiently released by the explosive production of the particles. In this
sense, the collision of bubbles is actually highly inelastic. The cosmological
implications of this result are discussed.
| [
{
"created": "Wed, 14 Apr 2010 07:23:33 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 2010 07:15:58 GMT",
"version": "v2"
}
] | 2015-03-14 | [
[
"Zhang",
"Jun",
""
],
[
"Piao",
"Yun-Song",
""
]
] | In a landscape with metastable minima, the bubbles will inevitably nucleate. We show that during the bubbles collide, due to the dramatically oscillating of the field at the collision region, the energy deposited in the bubble walls can be efficiently released by the explosive production of the particles. In this sense, the collision of bubbles is actually highly inelastic. The cosmological implications of this result are discussed. |
2011.08707 | Yasunori Nomura | Yasunori Nomura | From the Black Hole Conundrum to the Structure of Quantum Gravity | 27 pages, 13 figures; invited "brief review" article. arXiv admin
note: text overlap with arXiv:2010.15827 | null | 10.1142/S021773232130007X | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We portray the structure of quantum gravity emerging from recent progress in
understanding the quantum mechanics of an evaporating black hole. Quantum
gravity admits two different descriptions, based on Euclidean gravitational
path integral and a unitarily evolving holographic quantum system, which appear
to present vastly different pictures under the existence of a black hole.
Nevertheless, these two descriptions are physically equivalent. Various issues
of black hole physics---including the existence of the interior, unitarity of
the evolution, the puzzle of too large interior volume, and the ensemble nature
seen in certain calculations---are addressed very differently in the two
descriptions, still leading to the same physical conclusions. The perspective
of quantum gravity developed here is expected to have broader implications
beyond black hole physics, especially for the cosmology of the eternally
inflating multiverse.
| [
{
"created": "Mon, 16 Nov 2020 18:59:54 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2020 06:37:52 GMT",
"version": "v2"
}
] | 2021-03-31 | [
[
"Nomura",
"Yasunori",
""
]
] | We portray the structure of quantum gravity emerging from recent progress in understanding the quantum mechanics of an evaporating black hole. Quantum gravity admits two different descriptions, based on Euclidean gravitational path integral and a unitarily evolving holographic quantum system, which appear to present vastly different pictures under the existence of a black hole. Nevertheless, these two descriptions are physically equivalent. Various issues of black hole physics---including the existence of the interior, unitarity of the evolution, the puzzle of too large interior volume, and the ensemble nature seen in certain calculations---are addressed very differently in the two descriptions, still leading to the same physical conclusions. The perspective of quantum gravity developed here is expected to have broader implications beyond black hole physics, especially for the cosmology of the eternally inflating multiverse. |
1307.0504 | Jay Armas | Jay Armas, Jakob Gath, Niels A. Obers | Electroelasticity of Charged Black Branes | v2: 40pp; typos fixed | JHEP 1310 (2013) 035 | 10.1007/JHEP10(2013)035 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the first-order corrected dynamics of fluid branes carrying
higher-form charge by obtaining the general form of their equations of motion
to pole-dipole order. Assuming linear response theory, we characterize the
corresponding effective theory of stationary bent charged (an)isotropic fluid
branes in terms of two sets of response coefficients, the Young modulus and the
piezoelectric moduli. We subsequently find large classes of examples in gravity
of this effective theory, by constructing stationary strained charged black
brane solutions to first order in a derivative expansion. Using solution
generating techniques and bent neutral black branes as a seed solution, we
obtain a class of charged black brane geometries carrying smeared Maxwell
charge in Einstein-Maxwell-dilaton gravity. In the specific case of
ten-dimensional space-time we furthermore use T-duality to generate bent black
branes with higher-form charge, including smeared D-branes of type II string
theory. By subsequently measuring the bending moment and the electric dipole
moment which these geometries acquire due to the strain, we uncover that their
form is captured by classical electroelasticity theory. In particular, we find
that the Young modulus and the piezoelectric moduli of our strained charged
black brane solutions are parameterized by a total of 4 response coefficients,
both for the isotropic as well as anisotropic cases.
| [
{
"created": "Mon, 1 Jul 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 2013 18:57:22 GMT",
"version": "v2"
}
] | 2014-12-23 | [
[
"Armas",
"Jay",
""
],
[
"Gath",
"Jakob",
""
],
[
"Obers",
"Niels A.",
""
]
] | We present the first-order corrected dynamics of fluid branes carrying higher-form charge by obtaining the general form of their equations of motion to pole-dipole order. Assuming linear response theory, we characterize the corresponding effective theory of stationary bent charged (an)isotropic fluid branes in terms of two sets of response coefficients, the Young modulus and the piezoelectric moduli. We subsequently find large classes of examples in gravity of this effective theory, by constructing stationary strained charged black brane solutions to first order in a derivative expansion. Using solution generating techniques and bent neutral black branes as a seed solution, we obtain a class of charged black brane geometries carrying smeared Maxwell charge in Einstein-Maxwell-dilaton gravity. In the specific case of ten-dimensional space-time we furthermore use T-duality to generate bent black branes with higher-form charge, including smeared D-branes of type II string theory. By subsequently measuring the bending moment and the electric dipole moment which these geometries acquire due to the strain, we uncover that their form is captured by classical electroelasticity theory. In particular, we find that the Young modulus and the piezoelectric moduli of our strained charged black brane solutions are parameterized by a total of 4 response coefficients, both for the isotropic as well as anisotropic cases. |
hep-th/0102043 | Narain Kumar | E. Gava, A.B. Hammou, J.F. Morales and K.S.Narain | AdS/CFT correspondence and D1/D5 systems in theories with 16
supercharges | 28 pages, no figures | JHEP 0103:035,2001 | 10.1088/1126-6708/2001/03/035 | null | hep-th | null | We discuss spectra of $AdS_3$ supergravities, arising in the near horizon
geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16
supercharges. These include models studied in a recent paper (hep-th/0012118),
where the group action involves also a shift along a transversal circle, as
well as IIB/$\Omega I_4$, which is dual to IIB on $K3$. After appropriate
assignements of the orbifold group eigenvalues and degrees to the supergravity
single particle spectrum, we compute the supergravity elliptic genus and find
agreement, in the expected regime of validity, with the elliptic genus obtained
using U-duality map from (4,4) CFTs of U-dual backgrounds. Since this U-duality
involves the exchange of KK momentum $P$ and D1 charge $N$, it allows us to
test the (4,4) CFTs in the $P < N/4$ and $N < P/4$ regimes by two different
supergravity duals.
| [
{
"created": "Thu, 8 Feb 2001 17:20:15 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Gava",
"E.",
""
],
[
"Hammou",
"A. B.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Narain",
"K. S.",
""
]
] | We discuss spectra of $AdS_3$ supergravities, arising in the near horizon geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16 supercharges. These include models studied in a recent paper (hep-th/0012118), where the group action involves also a shift along a transversal circle, as well as IIB/$\Omega I_4$, which is dual to IIB on $K3$. After appropriate assignements of the orbifold group eigenvalues and degrees to the supergravity single particle spectrum, we compute the supergravity elliptic genus and find agreement, in the expected regime of validity, with the elliptic genus obtained using U-duality map from (4,4) CFTs of U-dual backgrounds. Since this U-duality involves the exchange of KK momentum $P$ and D1 charge $N$, it allows us to test the (4,4) CFTs in the $P < N/4$ and $N < P/4$ regimes by two different supergravity duals. |
1612.06529 | Yuya Tanizaki | Yuya Tanizaki and Motoi Tachibana | Multi-flavor massless QED$_2$ at finite densities via Lefschetz thimbles | 25 pages, 4 figures; (v2) reference updated; (v3) minor changes | JHEP 1702 (2017) 081 | 10.1007/JHEP02(2017)081 | RBRC 1230 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider multi-flavor massless $(1+1)$-dimensional QED with chemical
potentials at finite spatial length and the zero-temperature limit. Its sign
problem is solved using the mean-field calculation with complex saddle points.
| [
{
"created": "Tue, 20 Dec 2016 07:12:52 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 2017 07:34:48 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Feb 2017 00:58:03 GMT",
"version": "v3"
}
] | 2017-06-27 | [
[
"Tanizaki",
"Yuya",
""
],
[
"Tachibana",
"Motoi",
""
]
] | We consider multi-flavor massless $(1+1)$-dimensional QED with chemical potentials at finite spatial length and the zero-temperature limit. Its sign problem is solved using the mean-field calculation with complex saddle points. |
0812.1989 | Peter Watson | P. Watson, H. Reinhardt | Slavnov-Taylor identities in Coulomb gauge Yang-Mills theory | 20 pages, no figures | Eur.Phys.J.C65:567-585,2010 | 10.1140/epjc/s10052-009-1223-8 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Slavnov-Taylor identities of Coulomb gauge Yang-Mills theory are derived
from the (standard, second order) functional formalism. It is shown how these
identities form closed sets from which one can in principle fully determine the
Green's functions involving the temporal component of the gauge field without
approximation, given appropriate input.
| [
{
"created": "Wed, 10 Dec 2008 18:09:43 GMT",
"version": "v1"
}
] | 2010-02-11 | [
[
"Watson",
"P.",
""
],
[
"Reinhardt",
"H.",
""
]
] | The Slavnov-Taylor identities of Coulomb gauge Yang-Mills theory are derived from the (standard, second order) functional formalism. It is shown how these identities form closed sets from which one can in principle fully determine the Green's functions involving the temporal component of the gauge field without approximation, given appropriate input. |
2110.13381 | Haobo Yan | Haobo Yan | Kink scattering in a Lorentz-violating $\phi^6$ model | v2: published version; v1: 7 pages, 7 figures | EPL 138, 14001 (2022) | 10.1209/0295-5075/ac5b9b | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The role played by a Lorentz-violating term on the outcomes of kink
scattering in the $\phi^6$ model is investigated by using the Fourier spectral
method. Impacts of the Lorentz-violating term on the critical velocities, the
location of two-bounce windows, and the maximal values of various types of
energy densities are analyzed. Some novel features of kink-antikink collisions
are discussed. The interactions between three and four kinks are also
considered.
| [
{
"created": "Tue, 26 Oct 2021 03:17:05 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2022 12:31:56 GMT",
"version": "v2"
}
] | 2022-05-16 | [
[
"Yan",
"Haobo",
""
]
] | The role played by a Lorentz-violating term on the outcomes of kink scattering in the $\phi^6$ model is investigated by using the Fourier spectral method. Impacts of the Lorentz-violating term on the critical velocities, the location of two-bounce windows, and the maximal values of various types of energy densities are analyzed. Some novel features of kink-antikink collisions are discussed. The interactions between three and four kinks are also considered. |
1808.00394 | Don Marolf | Donald Marolf | Microcanonical Path Integrals and the Holography of small Black Hole
Interiors | 19 pages, 1 figure, typo fixed | null | 10.1007/JHEP09(2018)114 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a microcanonical path integral closely related to that introduced by
Brown and York in 1992 to add new entries to the AdS/CFT dictionary concerning
the interiors of small black holes. Stationary points of such path integrals
are also stationary points of more standard canonical-type path integrals with
fixed boundary metric, but the condition for dominance is now maximizing
Hubeny-Rangamani-Takayanagi entropy at fixed energy. As a result, such path
integrals can bring to the fore saddles that fail to dominate in more familiar
contexts. We use this feature to argue that the standard Kruskal-like two-sided
extension of small AdS black holes with energy $E_0$ is dual to a
microcanonical version of the thermofield double state for AdS black holes that
maximize the microcanonical bulk entropy at this energy. We also comment on
entanglement in such states and on quantum effects that become large when the
energy-width of the microcanonical ensemble is sufficiently small.
| [
{
"created": "Wed, 1 Aug 2018 16:01:23 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Sep 2018 16:42:18 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Aug 2021 16:01:55 GMT",
"version": "v3"
}
] | 2021-08-11 | [
[
"Marolf",
"Donald",
""
]
] | We use a microcanonical path integral closely related to that introduced by Brown and York in 1992 to add new entries to the AdS/CFT dictionary concerning the interiors of small black holes. Stationary points of such path integrals are also stationary points of more standard canonical-type path integrals with fixed boundary metric, but the condition for dominance is now maximizing Hubeny-Rangamani-Takayanagi entropy at fixed energy. As a result, such path integrals can bring to the fore saddles that fail to dominate in more familiar contexts. We use this feature to argue that the standard Kruskal-like two-sided extension of small AdS black holes with energy $E_0$ is dual to a microcanonical version of the thermofield double state for AdS black holes that maximize the microcanonical bulk entropy at this energy. We also comment on entanglement in such states and on quantum effects that become large when the energy-width of the microcanonical ensemble is sufficiently small. |
hep-th/0111077 | Robert C. Helling | Robert C. Helling (HU Berlin) | A Remark On Field Theories On The Non-Commutative Torus | null | null | null | HU-EP-01/49 | hep-th | null | We investigate field theories on the non-commutative torus upon varying
theta, the parameter of non-commutativity. We argue that one should think of
Morita equivalence as a symmetry of algebras describing the same space rather
than of theories living on different spaces (as is T-duality). Then we give
arguments why physical observables depend on theta non-continuously.
| [
{
"created": "Thu, 8 Nov 2001 19:28:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Helling",
"Robert C.",
"",
"HU Berlin"
]
] | We investigate field theories on the non-commutative torus upon varying theta, the parameter of non-commutativity. We argue that one should think of Morita equivalence as a symmetry of algebras describing the same space rather than of theories living on different spaces (as is T-duality). Then we give arguments why physical observables depend on theta non-continuously. |
hep-th/0508133 | Brian Wecht | Jessie Shelton, Washington Taylor, Brian Wecht | Nongeometric Flux Compactifications | 26 pages, JHEP3. v3: references, minor corrections, and
clarifications added. v4: sign corrected | JHEP0510:085,2005 | 10.1088/1126-6708/2005/10/085 | null | hep-th | null | We investigate a simple class of type II string compactifications which
incorporate nongeometric "fluxes" in addition to "geometric flux" and the usual
H-field and R-R fluxes. These compactifications are nongeometric analogues of
the twisted torus. We develop T-duality rules for NS-NS geometric and
nongeometric fluxes, which we use to construct a superpotential for the
dimensionally reduced four-dimensional theory. The resulting structure is
invariant under T-duality, so that the distribution of vacua in the IIA and IIB
theories is identical when nongeometric fluxes are included. This gives a
concrete framework in which to investigate the possibility that generic string
compactifications may be nongeometric in any duality frame. The framework
developed in this paper also provides some concrete hints for how mirror
symmetry can be generalized to compactifications with arbitrary H-flux, whose
mirrors are generically nongeometric.
| [
{
"created": "Thu, 18 Aug 2005 19:56:59 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2005 23:05:17 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Sep 2005 15:52:16 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Jul 2006 16:29:15 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Shelton",
"Jessie",
""
],
[
"Taylor",
"Washington",
""
],
[
"Wecht",
"Brian",
""
]
] | We investigate a simple class of type II string compactifications which incorporate nongeometric "fluxes" in addition to "geometric flux" and the usual H-field and R-R fluxes. These compactifications are nongeometric analogues of the twisted torus. We develop T-duality rules for NS-NS geometric and nongeometric fluxes, which we use to construct a superpotential for the dimensionally reduced four-dimensional theory. The resulting structure is invariant under T-duality, so that the distribution of vacua in the IIA and IIB theories is identical when nongeometric fluxes are included. This gives a concrete framework in which to investigate the possibility that generic string compactifications may be nongeometric in any duality frame. The framework developed in this paper also provides some concrete hints for how mirror symmetry can be generalized to compactifications with arbitrary H-flux, whose mirrors are generically nongeometric. |
hep-th/0701242 | Mohammad Reza Setare | M. R. Setare | Interacting holographic dark energy model and generalized second law of
thermodynamics in non-flat universe | 11 pages, no figures | JCAP 0701:023,2007 | 10.1088/1475-7516/2007/01/023 | null | hep-th | null | In the present paper we consider the interacting holographic model of dark
energy to investigate the validity of the generalized second laws of
thermodynamics in non-flat (closed) universe enclosed by the event horizon
measured from the sphere of the horizon named $L$. We show that for $L$ as the
system's IR cut-off the generalized second law is respected for the special
range of the deceleration parameter.
| [
{
"created": "Fri, 26 Jan 2007 08:45:14 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Setare",
"M. R.",
""
]
] | In the present paper we consider the interacting holographic model of dark energy to investigate the validity of the generalized second laws of thermodynamics in non-flat (closed) universe enclosed by the event horizon measured from the sphere of the horizon named $L$. We show that for $L$ as the system's IR cut-off the generalized second law is respected for the special range of the deceleration parameter. |
1112.4487 | Matthew Johnson | Matthew C. Johnson, Hiranya V. Peiris, and Luis Lehner | Determining the outcome of cosmic bubble collisions in full General
Relativity | 37 pages, 26 figures. Accepted to PRD, replaced with minor
corrections to match published version | Phys.Rev.D85:083516,2012 | 10.1103/PhysRevD.85.083516 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmic bubble collisions provide an important possible observational window
on the dynamics of eternal inflation. In eternal inflation, our observable
universe is contained in one of many bubbles formed from an inflating
metastable vacuum. The collision between bubbles can leave a detectable imprint
on the cosmic microwave background radiation. Although phenomenological models
of the observational signature have been proposed, to make the theory fully
predictive one must determine the bubble collision spacetime, and thus the
cosmological observables, from a scalar field theory giving rise to eternal
inflation. Because of the intrinsically non-linear nature of the bubbles and
their collision, this requires a numerical treatment incorporating General
Relativity. In this paper, we present results from numerical simulations of
bubble collisions in full General Relativity. These simulations allow us to
accurately determine the outcome of bubble collisions, and examine their effect
on the cosmology inside a bubble universe. We confirm the validity of a number
of approximations used in previous analytic work, and identify qualitatively
new features of bubble collision spacetimes. Both vacuum bubbles and bubbles
containing a realistic inflationary cosmology are studied. We identify the
constraints on the scalar field potential that must be satisfied in order to
obtain collisions that are consistent with our observed cosmology, yet leave
detectable signatures.
| [
{
"created": "Mon, 19 Dec 2011 21:00:54 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2012 15:27:33 GMT",
"version": "v2"
}
] | 2012-05-29 | [
[
"Johnson",
"Matthew C.",
""
],
[
"Peiris",
"Hiranya V.",
""
],
[
"Lehner",
"Luis",
""
]
] | Cosmic bubble collisions provide an important possible observational window on the dynamics of eternal inflation. In eternal inflation, our observable universe is contained in one of many bubbles formed from an inflating metastable vacuum. The collision between bubbles can leave a detectable imprint on the cosmic microwave background radiation. Although phenomenological models of the observational signature have been proposed, to make the theory fully predictive one must determine the bubble collision spacetime, and thus the cosmological observables, from a scalar field theory giving rise to eternal inflation. Because of the intrinsically non-linear nature of the bubbles and their collision, this requires a numerical treatment incorporating General Relativity. In this paper, we present results from numerical simulations of bubble collisions in full General Relativity. These simulations allow us to accurately determine the outcome of bubble collisions, and examine their effect on the cosmology inside a bubble universe. We confirm the validity of a number of approximations used in previous analytic work, and identify qualitatively new features of bubble collision spacetimes. Both vacuum bubbles and bubbles containing a realistic inflationary cosmology are studied. We identify the constraints on the scalar field potential that must be satisfied in order to obtain collisions that are consistent with our observed cosmology, yet leave detectable signatures. |
2308.02928 | Nick Abboud | Nick Abboud, Enrico Speranza, Jorge Noronha | Causal and stable first-order chiral hydrodynamics | 21 pages, 1 figure. Version accepted for publication in Physical
Review D | null | null | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the set of inequalities that is necessary and sufficient for
nonlinear causality and linear stability of first-order relativistic
hydrodynamics with either a $U(1)_V$ conserved current or a $U(1)_A$ current
with a chiral anomaly or both. Our results apply to generic hydrodynamic frames
in which no relations among the transport parameters are imposed. Furthermore,
our analysis yields, to the best of our knowledge, the first theory of viscous
chiral hydrodynamics proven to be causal and stable. We find that causality
demands the absence of vorticity-induced heat flux, forcing a departure from
the thermodynamic frame in the chiral case. The inequalities for causality and
stability define a hypervolume in the space of transport parameters, wherein
each point corresponds to a consistent formulation. Notably, causality is
determined by just three combinations of transport parameters. We present our
results in a form amenable to numerical hydrodynamic simulations.
| [
{
"created": "Sat, 5 Aug 2023 18:00:14 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 18:06:09 GMT",
"version": "v2"
}
] | 2024-05-02 | [
[
"Abboud",
"Nick",
""
],
[
"Speranza",
"Enrico",
""
],
[
"Noronha",
"Jorge",
""
]
] | We derive the set of inequalities that is necessary and sufficient for nonlinear causality and linear stability of first-order relativistic hydrodynamics with either a $U(1)_V$ conserved current or a $U(1)_A$ current with a chiral anomaly or both. Our results apply to generic hydrodynamic frames in which no relations among the transport parameters are imposed. Furthermore, our analysis yields, to the best of our knowledge, the first theory of viscous chiral hydrodynamics proven to be causal and stable. We find that causality demands the absence of vorticity-induced heat flux, forcing a departure from the thermodynamic frame in the chiral case. The inequalities for causality and stability define a hypervolume in the space of transport parameters, wherein each point corresponds to a consistent formulation. Notably, causality is determined by just three combinations of transport parameters. We present our results in a form amenable to numerical hydrodynamic simulations. |
hep-th/9207036 | null | Jan Govaerts | Finite Euler Hierarchies And Integrable Universal Equations | (replaces previous unprintable version corrupted mailer) 13 p.,
(Plain TeX), DTP-92/35 | Czech.J.Phys. 42 (1992) 1313-1324 | 10.1007/BF01589661 | null | hep-th | null | Recent work on Euler hierarchies of field theory Lagrangians iteratively
constructed {}from their successive equations of motion is briefly reviewed. On
the one hand, a certain triality structure is described, relating arbitrary
field theories, {\it classical\ts} topological field theories -- whose
classical solutions span topological classes of manifolds -- and
reparametrisation invariant theories -- generalising ordinary string and
membrane theories. On the other hand, {\it finite} Euler hierarchies are
constructed for all three classes of theories. These hierarchies terminate with
{\it universal\ts} equations of motion, probably defining new integrable
systems as they admit an infinity of Lagrangians. Speculations as to the
possible relevance of these theories to quantum gravity are also suggested.
| [
{
"created": "Mon, 13 Jul 1992 08:55:24 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 1992 16:02:59 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Govaerts",
"Jan",
""
]
] | Recent work on Euler hierarchies of field theory Lagrangians iteratively constructed {}from their successive equations of motion is briefly reviewed. On the one hand, a certain triality structure is described, relating arbitrary field theories, {\it classical\ts} topological field theories -- whose classical solutions span topological classes of manifolds -- and reparametrisation invariant theories -- generalising ordinary string and membrane theories. On the other hand, {\it finite} Euler hierarchies are constructed for all three classes of theories. These hierarchies terminate with {\it universal\ts} equations of motion, probably defining new integrable systems as they admit an infinity of Lagrangians. Speculations as to the possible relevance of these theories to quantum gravity are also suggested. |
0801.3528 | Yosuke Imamura | Yosuke Imamura, Keisuke Kimura, and Masahito Yamazaki | Anomalies and O-plane charges in orientifolded brane tilings | 46 pages, 19 figures | JHEP 0803:058,2008 | 10.1088/1126-6708/2008/03/058 | UT-07-37 | hep-th | null | We investigate orientifold of brane tilings. We clarify how the cancellations
of gauge anomaly and Witten's anomaly are guaranteed by the conservation of the
D5-brane charge. We also discuss the relation between brane tilings and the
dual Calabi-Yau cones realized as the moduli spaces of gauge theories. Two
types of flavor D5-branes in brane tilings and corresponding superpotentials of
fundamental quark fields are proposed, and it is shown that the massless loci
of these quarks in the moduli space correctly reproduce the worldvolume of
flavor D7-branes in the Calabi-Yau cone dual to the fivebrane system.
| [
{
"created": "Wed, 23 Jan 2008 09:24:45 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Imamura",
"Yosuke",
""
],
[
"Kimura",
"Keisuke",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | We investigate orientifold of brane tilings. We clarify how the cancellations of gauge anomaly and Witten's anomaly are guaranteed by the conservation of the D5-brane charge. We also discuss the relation between brane tilings and the dual Calabi-Yau cones realized as the moduli spaces of gauge theories. Two types of flavor D5-branes in brane tilings and corresponding superpotentials of fundamental quark fields are proposed, and it is shown that the massless loci of these quarks in the moduli space correctly reproduce the worldvolume of flavor D7-branes in the Calabi-Yau cone dual to the fivebrane system. |
1912.08117 | Fran\c{c}ois Rondeau | Ignatios Antoniadis and Fran\c{c}ois Rondeau | New K\"ahler invariant Fayet-Iliopoulos terms in supergravity and
cosmological applications | 17 pages, 4 figures. Published version | null | 10.1140/epjc/s10052-020-7912-z | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a new type of constant Fayet-Iliopoulos (FI) terms was introduced
in $\mathcal{N}=1$ supergravity, which do not require the gauging of the
$R$-symmetry. We revisit and generalise these constructions, building a new
class of K\"ahler invariant FI terms parametrised by a function of the
gravitino mass as functional of the chiral superfields, which is then used to
describe new models of inflation. They are based on a no-scale supergravity
model of the inflaton chiral multiplet, supplemented by an abelian vector
multiplet with the new FI-term. We show that the inflaton potential is
compatible with the CMB observational data, with a vacuum energy at the minimum
that can be tuned to a tiny positive value. Finally, the axionic shift symmetry
can be gauged by the $U(1)$ which becomes massive. These models offer a
mechanism for fixing the gravitino mass in no-scale supergravities, that
corresponds to a flat direction of the scalar potential in the absence of the
new FI-term; its origin in string theory is an interesting open problem.
| [
{
"created": "Tue, 17 Dec 2019 16:19:36 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 2020 17:00:09 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Rondeau",
"François",
""
]
] | Recently, a new type of constant Fayet-Iliopoulos (FI) terms was introduced in $\mathcal{N}=1$ supergravity, which do not require the gauging of the $R$-symmetry. We revisit and generalise these constructions, building a new class of K\"ahler invariant FI terms parametrised by a function of the gravitino mass as functional of the chiral superfields, which is then used to describe new models of inflation. They are based on a no-scale supergravity model of the inflaton chiral multiplet, supplemented by an abelian vector multiplet with the new FI-term. We show that the inflaton potential is compatible with the CMB observational data, with a vacuum energy at the minimum that can be tuned to a tiny positive value. Finally, the axionic shift symmetry can be gauged by the $U(1)$ which becomes massive. These models offer a mechanism for fixing the gravitino mass in no-scale supergravities, that corresponds to a flat direction of the scalar potential in the absence of the new FI-term; its origin in string theory is an interesting open problem. |
hep-th/0110234 | Cai Rong-gen | Rong-Gen Cai, Yun Soo Myung, Yuan-Zhong Zhang | Check of the Mass Bound Conjecture in the de Sitter Space | Revtex, 14 pages, no figures, v3: more remarks and references added,
the version to appear in PRD | Phys.Rev. D65 (2002) 084019 | 10.1103/PhysRevD.65.084019 | INJE-TP-01-09 | hep-th gr-qc | null | Recently an interesting conjecture was put forward which states that any
asymptotically de Sitter space whose mass exceeds that of exact de Sitter space
contains a cosmological singularity. In order to test this mass bound
conjecture, we present two solutions. One is the topological de Sitter solution
and the other is its dilatonic deformation. Although the latter is not
asymptotically de Sitter space, the two solutions have a cosmological horizon
and a cosmological singularity. Using surface counterterm method we compute the
quasilocal stress-energy tensor of gravitational field and the mass of the two
solutions. It turns out that this conjecture holds within the two examples.
Also we show that the thermodynamic quantities associated with the cosmological
horizon of the two solutions obey the first law of thermodynamics. Furthermore,
the nonconformal extension of dS/CFT correspondence is discussed.
| [
{
"created": "Thu, 25 Oct 2001 15:39:28 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2001 13:22:34 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Jan 2002 05:32:52 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Myung",
"Yun Soo",
""
],
[
"Zhang",
"Yuan-Zhong",
""
]
] | Recently an interesting conjecture was put forward which states that any asymptotically de Sitter space whose mass exceeds that of exact de Sitter space contains a cosmological singularity. In order to test this mass bound conjecture, we present two solutions. One is the topological de Sitter solution and the other is its dilatonic deformation. Although the latter is not asymptotically de Sitter space, the two solutions have a cosmological horizon and a cosmological singularity. Using surface counterterm method we compute the quasilocal stress-energy tensor of gravitational field and the mass of the two solutions. It turns out that this conjecture holds within the two examples. Also we show that the thermodynamic quantities associated with the cosmological horizon of the two solutions obey the first law of thermodynamics. Furthermore, the nonconformal extension of dS/CFT correspondence is discussed. |
hep-th/0205085 | Shigeki Sugimoto | S. Sugimoto, S. Terashima | Tachyon Matter in Boundary String Field Theory | 13 pages, 3 figures, Latex, corrected a misleading argument about
solutions with z<-1 | JHEP 0207:025,2002 | 10.1088/1126-6708/2002/07/025 | CITUSC/02-015, ITFA-2002-14 | hep-th | null | We analyse the classical decay process of unstable D-branes in superstring
theory using the boundary string field theory (BSFT) action. We show that the
solutions of the equations of motion for the tachyon field asymptotically
approach to T=x^0 and the pressure rapidly falls off at late time producing the
tachyon matter irrespective of the initial condition. We also consider the
cosmological evolution driven by the rolling tachyon using the BSFT action as
an effective action.
| [
{
"created": "Thu, 9 May 2002 18:57:58 GMT",
"version": "v1"
},
{
"created": "Sat, 18 May 2002 10:04:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sugimoto",
"S.",
""
],
[
"Terashima",
"S.",
""
]
] | We analyse the classical decay process of unstable D-branes in superstring theory using the boundary string field theory (BSFT) action. We show that the solutions of the equations of motion for the tachyon field asymptotically approach to T=x^0 and the pressure rapidly falls off at late time producing the tachyon matter irrespective of the initial condition. We also consider the cosmological evolution driven by the rolling tachyon using the BSFT action as an effective action. |
hep-th/0108166 | Jonathan Thomas Lenaghan | Jonathan Lenaghan and Thomas Wilke | Mesoscopic QCD and the Theta Vacua | 31 pages, revtex, 10 figures, final version to appear in Nucl. Phys.
B | Nucl.Phys. B624 (2002) 253-282 | 10.1016/S0550-3213(01)00635-6 | null | hep-th hep-lat hep-ph | null | The partition function of QCD is analyzed for an arbitrary number of flavors,
N_f, and arbitrary quark masses including the contributions from all
topological sectors in the Leutwyler--Smilga regime. For given N_f and
arbitrary vacuum angle, \theta, the partition function can be reduced to N_f-2
angular integrations of single Bessel functions. For two and three flavors, the
\theta dependence of the QCD vacuum is studied in detail. For N_f= 2 and 3, the
chiral condensate decreases monotonically as \theta increases from zero to \pi
and the chiral condensate develops a cusp at \theta=\pi for degenerate quark
masses in the macroscopic limit. We find a discontinuity at \theta=\pi in the
first derivative of the energy density with respect to \theta for degenerate
quark masses. This corresponds to the first--order phase transition in which CP
is spontaneously broken, known as Dashen's phenomena.
| [
{
"created": "Wed, 22 Aug 2001 15:03:16 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2002 08:57:18 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Lenaghan",
"Jonathan",
""
],
[
"Wilke",
"Thomas",
""
]
] | The partition function of QCD is analyzed for an arbitrary number of flavors, N_f, and arbitrary quark masses including the contributions from all topological sectors in the Leutwyler--Smilga regime. For given N_f and arbitrary vacuum angle, \theta, the partition function can be reduced to N_f-2 angular integrations of single Bessel functions. For two and three flavors, the \theta dependence of the QCD vacuum is studied in detail. For N_f= 2 and 3, the chiral condensate decreases monotonically as \theta increases from zero to \pi and the chiral condensate develops a cusp at \theta=\pi for degenerate quark masses in the macroscopic limit. We find a discontinuity at \theta=\pi in the first derivative of the energy density with respect to \theta for degenerate quark masses. This corresponds to the first--order phase transition in which CP is spontaneously broken, known as Dashen's phenomena. |
hep-th/0008158 | Hidenori Sonoda | Hidenori Sonoda | On the gauge parameter dependence of QED | 8 pages, no figure, LaTeX 2e | Phys.Lett. B499 (2001) 253-260 | 10.1016/S0370-2693(01)00030-2 | KOBE-TH-00-05 | hep-th hep-ph | null | The gauge parameter dependence of QED in the covariant gauge can be
determined explicitly by introducing a Stueckelberg field, which is a
non-interacting fictitious Goldstone boson field. Examples of QED with
electrons or charged scalars are discussed. Our results generalize the long
known results on the gauge parameter dependence of the wave function
renormalization constant and the electron propagator.
| [
{
"created": "Mon, 21 Aug 2000 09:28:17 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2000 02:59:10 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Nov 2000 00:11:56 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Sonoda",
"Hidenori",
""
]
] | The gauge parameter dependence of QED in the covariant gauge can be determined explicitly by introducing a Stueckelberg field, which is a non-interacting fictitious Goldstone boson field. Examples of QED with electrons or charged scalars are discussed. Our results generalize the long known results on the gauge parameter dependence of the wave function renormalization constant and the electron propagator. |
1608.01245 | Oleg Skoromnik | O. D. Skoromnik and I. D. Feranchuk and C. H. Keitel | Soliton-like solution in quantum electrodynamics | 45 pages, 3 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel soliton-like solution in quantum electrodynamics is obtained via a
self-consistent field method. By writing the Hamiltonian of quantum
electrodynamics in the Coulomb gauge, we separate out a classical component in
the density operator of the electron-positron field. Then, by modeling the
state vector in analogy with the theory of superconductivity, we minimize the
functional for the energy of the system. This results in the equations of the
self-consistent field, where the solutions are associated with the collective
excitation of the electron-positron field---the soliton-like solution. In
addition, the canonical transformation of the variables allowed us to separate
out the total momentum of the system and, consequently, to find the
relativistic energy dispersion relation for the moving soliton.
| [
{
"created": "Wed, 3 Aug 2016 16:30:55 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 07:46:18 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jan 2017 15:11:01 GMT",
"version": "v3"
}
] | 2017-01-12 | [
[
"Skoromnik",
"O. D.",
""
],
[
"Feranchuk",
"I. D.",
""
],
[
"Keitel",
"C. H.",
""
]
] | A novel soliton-like solution in quantum electrodynamics is obtained via a self-consistent field method. By writing the Hamiltonian of quantum electrodynamics in the Coulomb gauge, we separate out a classical component in the density operator of the electron-positron field. Then, by modeling the state vector in analogy with the theory of superconductivity, we minimize the functional for the energy of the system. This results in the equations of the self-consistent field, where the solutions are associated with the collective excitation of the electron-positron field---the soliton-like solution. In addition, the canonical transformation of the variables allowed us to separate out the total momentum of the system and, consequently, to find the relativistic energy dispersion relation for the moving soliton. |
hep-th/9704194 | Schubert | Denny Fliegner, Martin Reuter, Michael G. Schmidt, Christian Schubert | The Two-Loop Euler-Heisenberg Lagrangian in Dimensional Renormalization | 12 pages, standard Latex, no figures, uses a4wide.sty | Theor.Math.Phys.113:1442-1451,1997; Teor.Mat.Fiz.113:289-300,1997 | 10.1007/BF02634170 | HUB-EP-97/25, HD-THEP-97/14 | hep-th hep-ph | null | We clarify a discrepancy between two previous calculations of the two-loop
QED Euler-Heisenberg Lagrangian, both performed in proper-time regularization,
by calculating this quantity in dimensional regularization.
| [
{
"created": "Sun, 27 Apr 1997 10:42:19 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fliegner",
"Denny",
""
],
[
"Reuter",
"Martin",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Schubert",
"Christian",
""
]
] | We clarify a discrepancy between two previous calculations of the two-loop QED Euler-Heisenberg Lagrangian, both performed in proper-time regularization, by calculating this quantity in dimensional regularization. |
2404.03564 | Leonardo de la Cruz | Leonardo de la Cruz | Polytope symmetries of Feynman integrals | 6 pages, 2 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Feynman integrals appropriately generalized are $\mathsf A$-hypergeometric
functions. Among the properties of $\mathsf A$-hypergeometric functions are
symmetries associated with the Newton polytope. In ordinary hypergeometric
functions these symmetries lead to linear transformations. Combining tools of
$\mathsf A$-hypergeometric systems and the computation of symmetries of
polytopes, we consider the associated symmetries of Feynman integrals in the
Lee-Pomeransky representation. We compute the symmetries of $\mathtt n$-gon
integrals up to $\mathtt n=8$, massive banana integrals up to 5-loop, and
on-shell ladders up to 3-loop. We apply these symmetries to study finite
on-shell ladder integrals up to 3-loop.
| [
{
"created": "Thu, 4 Apr 2024 16:20:07 GMT",
"version": "v1"
}
] | 2024-04-05 | [
[
"de la Cruz",
"Leonardo",
""
]
] | Feynman integrals appropriately generalized are $\mathsf A$-hypergeometric functions. Among the properties of $\mathsf A$-hypergeometric functions are symmetries associated with the Newton polytope. In ordinary hypergeometric functions these symmetries lead to linear transformations. Combining tools of $\mathsf A$-hypergeometric systems and the computation of symmetries of polytopes, we consider the associated symmetries of Feynman integrals in the Lee-Pomeransky representation. We compute the symmetries of $\mathtt n$-gon integrals up to $\mathtt n=8$, massive banana integrals up to 5-loop, and on-shell ladders up to 3-loop. We apply these symmetries to study finite on-shell ladder integrals up to 3-loop. |
0901.3386 | Nathan Berkovits | Nathan Berkovits and Warren Siegel | Regularizing Cubic Open Neveu-Schwarz String Field Theory | 6 pages harvmac, added footnote and reference | JHEP 0911:021,2009 | 10.1088/1126-6708/2009/11/021 | IFT-P.001/2009, YITP-SB-09-01, NSF-KITP-09-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After introducing non-minimal variables, the midpoint insertion of Y\bar Y in
cubic open Neveu-Schwarz string field theory can be replaced with an operator
N_\rho depending on a constant parameter \rho. As in cubic open superstring
field theory using the pure spinor formalism, the operator N_\rho is invertible
and is equal to 1 up to a BRST-trivial quantity. So unlike the linearized
equation of motion Y\bar Y QV=0 which requires truncation of the Hilbert space
in order to imply QV=0, the linearized equation N_\rho QV=0 directly implies
QV=0.
| [
{
"created": "Thu, 22 Jan 2009 19:32:46 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2009 11:46:03 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Berkovits",
"Nathan",
""
],
[
"Siegel",
"Warren",
""
]
] | After introducing non-minimal variables, the midpoint insertion of Y\bar Y in cubic open Neveu-Schwarz string field theory can be replaced with an operator N_\rho depending on a constant parameter \rho. As in cubic open superstring field theory using the pure spinor formalism, the operator N_\rho is invertible and is equal to 1 up to a BRST-trivial quantity. So unlike the linearized equation of motion Y\bar Y QV=0 which requires truncation of the Hilbert space in order to imply QV=0, the linearized equation N_\rho QV=0 directly implies QV=0. |
hep-th/9501017 | Marco Picco | Vladimir Dotsenko, Marco Picco and Pierre Pujol | Renormalisation group calculation of correlation functions for the 2D
random bond Ising and Potts models | 26 pages, latex, no figures | Nucl.Phys. B455 (1995) 701-723 | 10.1016/0550-3213(95)00534-Y | PAR--LPTHE 94/41 | hep-th cond-mat hep-lat | null | We find the cross-over behavior for the spin-spin correlation function for
the 2D Ising and 3-states Potts model with random bonds at the critical point.
The procedure employed is the renormalisation approach of the perturbation
series around the conformal field theories representing the pure models. We
obtain a crossover in the amplitude for the correlation function for the Ising
model which doesn't change the critical exponent, and a shift in the critical
exponent produced by randomness in the case of the Potts model. A comparison
with numerical data is discussed briefly.
| [
{
"created": "Sat, 7 Jan 1995 17:14:41 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Dotsenko",
"Vladimir",
""
],
[
"Picco",
"Marco",
""
],
[
"Pujol",
"Pierre",
""
]
] | We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series around the conformal field theories representing the pure models. We obtain a crossover in the amplitude for the correlation function for the Ising model which doesn't change the critical exponent, and a shift in the critical exponent produced by randomness in the case of the Potts model. A comparison with numerical data is discussed briefly. |
hep-th/0007217 | Corneliu Sochichiu | C. Sochichiu | Noncommutative Tachyonic Solitons. Interaction with Gauge Field | 9 pages, no figures, latex changes,some comments added | JHEP 0008:026,2000 | 10.1088/1126-6708/2000/08/026 | null | hep-th | null | We show that in the presence of U(1) noncommutative gauge interaction the
noncommutative tachyonic system exhibits solitonic solutions for finite value
of the noncommutativity parameter.
| [
{
"created": "Thu, 27 Jul 2000 07:39:17 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Aug 2000 15:11:56 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Sochichiu",
"C.",
""
]
] | We show that in the presence of U(1) noncommutative gauge interaction the noncommutative tachyonic system exhibits solitonic solutions for finite value of the noncommutativity parameter. |
hep-th/0408054 | Vijay Balasubramanian | Vijay Balasubramanian and Per Berglund | Stringy corrections to Kahler potentials, SUSY breaking, and the
cosmological constant problem | LaTeX, 2 EPS figures. If you use mpage on a Unix machine to print
multiple pages on a single sheet you may experience problems printing the
figures. v3: corrections and comments in cosmological constant section | JHEP 0411:085,2004 | 10.1088/1126-6708/2004/11/085 | UPR-1086-T, UNH-04-06 | hep-th | null | The moduli of N=1 compactifications of IIB string theory can be stabilized by
a combination of fluxes (which freeze complex structure moduli and the dilaton)
and nonperturbative superpotentials (which freeze Kahler moduli), typically
leading to supersymmetric AdS vacua. We show that stringy corrections to the
Kahler potential qualitatively alter the structure of the effective scalar
potential even at large volume, and can give rise to non-supersymmetric vacua
including metastable de Sitter spacetimes. Our results suggest an approach to
solving the cosmological constant problem, so that the scale of the 1-loop
corrected cosmological constant can be much smaller than the scale of
supersymmetry breaking.
| [
{
"created": "Fri, 6 Aug 2004 15:24:57 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 14:40:01 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Feb 2005 14:06:05 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Berglund",
"Per",
""
]
] | The moduli of N=1 compactifications of IIB string theory can be stabilized by a combination of fluxes (which freeze complex structure moduli and the dilaton) and nonperturbative superpotentials (which freeze Kahler moduli), typically leading to supersymmetric AdS vacua. We show that stringy corrections to the Kahler potential qualitatively alter the structure of the effective scalar potential even at large volume, and can give rise to non-supersymmetric vacua including metastable de Sitter spacetimes. Our results suggest an approach to solving the cosmological constant problem, so that the scale of the 1-loop corrected cosmological constant can be much smaller than the scale of supersymmetry breaking. |
2102.08365 | Dennis le Plat | Burkhard Eden, Dennis le Plat, Alessandro Sfondrini | Integrable bootstrap for AdS3/CFT2 correlation functions | 58 pages, 6 figures, v3: minor changes | null | 10.1007/JHEP08(2021)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an integrable bootstrap framework for the computation of
correlation functions for superstrings in $AdS_3\times S^3\times T^4$
backgrounds supported by an arbitrary mixture or Ramond-Ramond and
Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the "hexagon
tessellation" approach which was originally proposed for $AdS_5\times S^5$ and
for the first time it demonstrates its applicability to other (less
supersymmetric) setups. We work out the hexagon form factor for two-particle
states, including its dressing factors which follow from those of the spectral
problem, and we show that it satisfies non-trivial consistency conditions. We
propose a bootstrap principle, slightly different from that of $AdS_5\times
S^5$, which allows to extend the form factor to arbitrarily many particles.
Finally, we compare its predictions with some correlation functions of
protected operators. Possible applications of this construction include the
study of wrapping corrections, of higher-point correlation functions, and of
non-planar corrections.
| [
{
"created": "Tue, 16 Feb 2021 18:50:59 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2021 20:56:43 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2021 05:17:06 GMT",
"version": "v3"
}
] | 2021-09-01 | [
[
"Eden",
"Burkhard",
""
],
[
"Plat",
"Dennis le",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] | We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in $AdS_3\times S^3\times T^4$ backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the "hexagon tessellation" approach which was originally proposed for $AdS_5\times S^5$ and for the first time it demonstrates its applicability to other (less supersymmetric) setups. We work out the hexagon form factor for two-particle states, including its dressing factors which follow from those of the spectral problem, and we show that it satisfies non-trivial consistency conditions. We propose a bootstrap principle, slightly different from that of $AdS_5\times S^5$, which allows to extend the form factor to arbitrarily many particles. Finally, we compare its predictions with some correlation functions of protected operators. Possible applications of this construction include the study of wrapping corrections, of higher-point correlation functions, and of non-planar corrections. |
1811.12617 | Keiju Murata Dr | Koji Hashimoto, Shunichiro Kinoshita, Keiju Murata | Imaging black holes through AdS/CFT | 22 pages, 12 figures | Phys. Rev. D 101, 066018 (2020) | 10.1103/PhysRevD.101.066018 | null | hep-th astro-ph.HE cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Thermal states in some quantum field theories (QFTs) correspond to black
holes in asymptotically AdS spacetime in the AdS/CFT correspondence. We propose
a direct procedure to construct holographic images of the black hole in the
bulk from a given response function of the QFT on the boundary. The response
function with respect to an external source corresponds to the asymptotic data
of the bulk field generated by the source on the AdS boundary. According to the
wave optics, we can obtain the images from the bulk field propagating in the
bulk spacetime. For a thermal state on two-dimensional sphere dual to
Schwarzschild-AdS$_4$ black hole, we demonstrate that the holographic images
gravitationally lensed by the black hole can be constructed from the response
function. In particular, the Einstein rings on the image can be clearly
observed and their radius depends on the total energy of the QFT thermal state.
These results are consistent with the size of the photon sphere of the black
hole calculated in geometrical optics. This implies that, if there exists a
dual gravitational picture for a given quantum system, we would be able to
probe existence of the dual black hole by the Einstein rings constructed from
observables of the quantum system.
| [
{
"created": "Fri, 30 Nov 2018 05:05:34 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Dec 2019 01:59:28 GMT",
"version": "v2"
}
] | 2020-03-25 | [
[
"Hashimoto",
"Koji",
""
],
[
"Kinoshita",
"Shunichiro",
""
],
[
"Murata",
"Keiju",
""
]
] | Thermal states in some quantum field theories (QFTs) correspond to black holes in asymptotically AdS spacetime in the AdS/CFT correspondence. We propose a direct procedure to construct holographic images of the black hole in the bulk from a given response function of the QFT on the boundary. The response function with respect to an external source corresponds to the asymptotic data of the bulk field generated by the source on the AdS boundary. According to the wave optics, we can obtain the images from the bulk field propagating in the bulk spacetime. For a thermal state on two-dimensional sphere dual to Schwarzschild-AdS$_4$ black hole, we demonstrate that the holographic images gravitationally lensed by the black hole can be constructed from the response function. In particular, the Einstein rings on the image can be clearly observed and their radius depends on the total energy of the QFT thermal state. These results are consistent with the size of the photon sphere of the black hole calculated in geometrical optics. This implies that, if there exists a dual gravitational picture for a given quantum system, we would be able to probe existence of the dual black hole by the Einstein rings constructed from observables of the quantum system. |
1912.09265 | Vitaly Vanchurin | Vitaly Vanchurin | Dual Path Integral: a non-perturbative approach to strong coupling | 20 pages, 4 figures, discussion of Ising model added, accepted for
publication in European Physical Journal C | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a non-perturbative method for calculating partition functions of
strongly coupled quantum mechanical systems with interactions between
subsystems described by a path integral of a dual system. The dual path
integral is derived starting from non-interacting subsystems at zeroth order
and then by introducing couplings of increasing complexity at each order of an
iterative procedure. These orders of interactions play the role of a dual time
and the full quantum partition function is expressed as a transition amplitude
in the dual system. More precisely, it is expressed as a path integral from a
deformation-operators dependent initial state at zero time/order to the
inverse-temperature dependent final state at later time/order. We provide three
examples of strongly coupled systems with first-order, second-order and
higher-order interactions and discuss a possible emergence of space-time,
quantum field theories and general relativity in context of the dual path
integral.
| [
{
"created": "Thu, 19 Dec 2019 15:14:14 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2020 19:10:39 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Mar 2021 15:58:53 GMT",
"version": "v3"
}
] | 2021-03-09 | [
[
"Vanchurin",
"Vitaly",
""
]
] | We develop a non-perturbative method for calculating partition functions of strongly coupled quantum mechanical systems with interactions between subsystems described by a path integral of a dual system. The dual path integral is derived starting from non-interacting subsystems at zeroth order and then by introducing couplings of increasing complexity at each order of an iterative procedure. These orders of interactions play the role of a dual time and the full quantum partition function is expressed as a transition amplitude in the dual system. More precisely, it is expressed as a path integral from a deformation-operators dependent initial state at zero time/order to the inverse-temperature dependent final state at later time/order. We provide three examples of strongly coupled systems with first-order, second-order and higher-order interactions and discuss a possible emergence of space-time, quantum field theories and general relativity in context of the dual path integral. |
2105.12476 | Mohammad Javad Vasli | Mohammad Sahraei, Mohammad Javad Vasli, M. Reza Mohammadi Mozaffar,
Komeil Babaei Velni | Entanglement Wedge Cross Section in Holographic Excited States | 35 pages, 8 figures, v2: a minor correction, references added, v3:
title changed, updated to match the published version | JHEP08(2021)038 | 10.1007/JHEP08(2021)038 | IPM-P-2021-013 | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We evaluate the entanglement wedge cross section (EWCS) in asymptotically AdS
geometries which are dual to boundary excited states. We carry out a
perturbative analysis for calculating EWCS between the vacuum and other states
for a symmetric configuration consisting of two disjoint strips and obtain
analytical results in the specific regimes of the parameter space. In
particular, when the states described by purely gravitational excitations in
the bulk we find that the leading correction to EWCS is negative and hence the
correlation between the boundary subregions decreases. We also study other
types of excitations upon adding the extra matter fields including current and
scalar condensate. Our study reveals some generic properties of boundary
information measures dual to EWCS, e.g., entanglement of purification,
logarithmic negativity and reflected entropy. Finally, we discuss how these
results are consistent with the behavior of other correlation measures
including the holographic mutual information.
| [
{
"created": "Wed, 26 May 2021 11:18:18 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2021 06:42:11 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Sep 2021 07:49:02 GMT",
"version": "v3"
}
] | 2021-09-13 | [
[
"Sahraei",
"Mohammad",
""
],
[
"Vasli",
"Mohammad Javad",
""
],
[
"Mozaffar",
"M. Reza Mohammadi",
""
],
[
"Velni",
"Komeil Babaei",
""
]
] | We evaluate the entanglement wedge cross section (EWCS) in asymptotically AdS geometries which are dual to boundary excited states. We carry out a perturbative analysis for calculating EWCS between the vacuum and other states for a symmetric configuration consisting of two disjoint strips and obtain analytical results in the specific regimes of the parameter space. In particular, when the states described by purely gravitational excitations in the bulk we find that the leading correction to EWCS is negative and hence the correlation between the boundary subregions decreases. We also study other types of excitations upon adding the extra matter fields including current and scalar condensate. Our study reveals some generic properties of boundary information measures dual to EWCS, e.g., entanglement of purification, logarithmic negativity and reflected entropy. Finally, we discuss how these results are consistent with the behavior of other correlation measures including the holographic mutual information. |
hep-th/0201015 | Kazumi Okuyama | Kazumi Okuyama (EFI, Univ. of Chicago) | Ghost Kinetic Operator of Vacuum String Field Theory | 19 pages, 1 figure, lanlmac; v2: typos corrected | JHEP 0201 (2002) 027 | 10.1088/1126-6708/2002/01/027 | EFI-02-59 | hep-th | null | Using the data of eigenvalues and eigenvectors of Neumann matrices in the
3-string vertex, we prove analytically that the ghost kinetic operator of
vacuum string field theory obtained by Hata and Kawano is equal to the ghost
operator inserted at the open string midpoint. We also comment on the values of
determinants appearing in the norm of sliver state.
| [
{
"created": "Thu, 3 Jan 2002 20:25:17 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2002 13:05:22 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Okuyama",
"Kazumi",
"",
"EFI, Univ. of Chicago"
]
] | Using the data of eigenvalues and eigenvectors of Neumann matrices in the 3-string vertex, we prove analytically that the ghost kinetic operator of vacuum string field theory obtained by Hata and Kawano is equal to the ghost operator inserted at the open string midpoint. We also comment on the values of determinants appearing in the norm of sliver state. |
hep-th/0412329 | Takashi Maeda | Takashi Maeda, Toshio Nakatsu, Kanehisa Takasaki and Takeshi Tamakoshi | Free Fermion and Seiberg-Witten Differential in Random Plane Partitions | 32 pages, 3 figures, typos corrected | Nucl.Phys. B715 (2005) 275-303 | 10.1016/j.nuclphysb.2005.02.041 | OU-HET 513 | hep-th math-ph math.MP | null | A model of random plane partitions which describes five-dimensional
$\mathcal{N}=1$ supersymmetric SU(N) Yang-Mills is studied. We compute the wave
functions of fermions in this statistical model and investigate their
thermodynamic limits or the semi-classical behaviors. These become of the WKB
type at the thermodynamic limit. When the fermions are located at the main
diagonal of the plane partition, their semi-classical wave functions are
obtained in a universal form. We further show that by taking the
four-dimensional limit the semi-classical wave functions turn to live on the
Seiberg-Witten curve and that the classical action becomes precisely the
integral of the Seiberg-Witten differential. When the fermions are located away
from the main diagonal, the semi-classical wave functions depend on another
continuous parameter. It is argued that they are related with the wave
functions at the main diagonal by the renormalization group flow of the
underlying gauge theory.
| [
{
"created": "Thu, 30 Dec 2004 14:47:23 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2005 07:50:40 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Maeda",
"Takashi",
""
],
[
"Nakatsu",
"Toshio",
""
],
[
"Takasaki",
"Kanehisa",
""
],
[
"Tamakoshi",
"Takeshi",
""
]
] | A model of random plane partitions which describes five-dimensional $\mathcal{N}=1$ supersymmetric SU(N) Yang-Mills is studied. We compute the wave functions of fermions in this statistical model and investigate their thermodynamic limits or the semi-classical behaviors. These become of the WKB type at the thermodynamic limit. When the fermions are located at the main diagonal of the plane partition, their semi-classical wave functions are obtained in a universal form. We further show that by taking the four-dimensional limit the semi-classical wave functions turn to live on the Seiberg-Witten curve and that the classical action becomes precisely the integral of the Seiberg-Witten differential. When the fermions are located away from the main diagonal, the semi-classical wave functions depend on another continuous parameter. It is argued that they are related with the wave functions at the main diagonal by the renormalization group flow of the underlying gauge theory. |
hep-th/9504058 | Anthony Candiello | Antonio Candiello | WBase: a C package to reduce tensor products of Lie algebra
representations. Description and new developments | 6 pages, latex. The paper is based on a talk held at the fourth
AIHENP workshop, Pisa, 3-8 April 1995, and it is to appear in the related
proceedings. Package and paper available at ftp://dsfpd.pd.infn.it/wbase or
ftp://dsfpd.pd.infn.it/pub/wbase | null | null | DFPD95/TH/22 | hep-th | null | A non trivial application of a modern computer language ("C") in a highly
structured and object-oriented fashion is presented. The contest is that of Lie
algebra representations (irreps), specifically the problem of reducing the
products of irreps with the weight tree algorithm. The new WBase V2.0 version
with table-generation and Young tableaux display capabilities is introduced.
| [
{
"created": "Mon, 10 Apr 1995 16:36:15 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 1995 09:27:14 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Candiello",
"Antonio",
""
]
] | A non trivial application of a modern computer language ("C") in a highly structured and object-oriented fashion is presented. The contest is that of Lie algebra representations (irreps), specifically the problem of reducing the products of irreps with the weight tree algorithm. The new WBase V2.0 version with table-generation and Young tableaux display capabilities is introduced. |
1603.00177 | Filip Blaschke | Filip Blaschke | Exact BPS domain walls at finite gauge coupling | 41 pages, 12 figures, typo and spelling corrections, accepted by PTEP | Prog Theor Exp Phys (2017) | 10.1093/ptep/ptw168 | YGHP-16-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bogomol'nyi-Prasad-Sommerfield solitons in models with spontaneously broken
gauge symmetry have been intensively studied at infinite gauge coupling limit,
where the governing equation -- so-called master equation -- is exactly
solvable. Except for a handful of special solutions, the standing impression is
that analytic results at finite coupling are generally unavailable. The aim of
this paper is to demonstrate, using domain walls in Abelian-Higgs models as the
simplest example, that exact solitons at finite gauge coupling can be readily
obtained if the number of Higgs fields ($N_F$) is large enough. In particular,
we present a family of exact solutions, describing $N$ domain walls at
arbitrary positions in models with at least $N_F \geq 2N+1$. We have also found
that adding together any pair of solution can produce a new exact solution if
the combined tension is below a certain limit.
| [
{
"created": "Tue, 1 Mar 2016 08:20:37 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2016 06:28:22 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Oct 2016 04:15:19 GMT",
"version": "v3"
}
] | 2019-12-06 | [
[
"Blaschke",
"Filip",
""
]
] | Bogomol'nyi-Prasad-Sommerfield solitons in models with spontaneously broken gauge symmetry have been intensively studied at infinite gauge coupling limit, where the governing equation -- so-called master equation -- is exactly solvable. Except for a handful of special solutions, the standing impression is that analytic results at finite coupling are generally unavailable. The aim of this paper is to demonstrate, using domain walls in Abelian-Higgs models as the simplest example, that exact solitons at finite gauge coupling can be readily obtained if the number of Higgs fields ($N_F$) is large enough. In particular, we present a family of exact solutions, describing $N$ domain walls at arbitrary positions in models with at least $N_F \geq 2N+1$. We have also found that adding together any pair of solution can produce a new exact solution if the combined tension is below a certain limit. |
hep-th/0111166 | E. Gaburov | Sergiu I. Vacaru | Ellipsoidal Black Hole - Black Tori Systems in 4D Gravity | 12 pages, 4 figures | Chapter 12 in: "Clifford and Riemann Finsler Structures in
Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos,
E. Gaburov and D. Gonta (Geometry Balkan Press, 2006)
http://www.mathem.pub.ro/dgds/mono/va-t.pdf | null | null | hep-th astro-ph gr-qc hep-ph math-ph math.DG math.MP nlin.SI | null | We construct new classes of exact solutions of the 4D vacuum Einstein
equations which describe ellipsoidal black holes, black tori and combined black
hole -- black tori configurations. The solutions can be static or with
anisotropic polarizations and running constants. They are defined by
off--diagonal metric ansatz which may be diagonalized with respect to
anholonomic moving frames. We examine physical properties of such anholonomic
gravitational configurations and discuss why the anholonomy may remove the
restriction that horizons must be with spherical topology.
| [
{
"created": "Mon, 19 Nov 2001 19:43:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vacaru",
"Sergiu I.",
""
]
] | We construct new classes of exact solutions of the 4D vacuum Einstein equations which describe ellipsoidal black holes, black tori and combined black hole -- black tori configurations. The solutions can be static or with anisotropic polarizations and running constants. They are defined by off--diagonal metric ansatz which may be diagonalized with respect to anholonomic moving frames. We examine physical properties of such anholonomic gravitational configurations and discuss why the anholonomy may remove the restriction that horizons must be with spherical topology. |
0901.2459 | Holger Gies | Holger Gies and Michael M. Scherer | Asymptotic safety of simple Yukawa systems | 14 pages, 3 figures, v2: references added, typos corrected, minor
numerical corrections | Eur.Phys.J.C66:387-402,2010 | 10.1140/epjc/s10052-010-1256-z | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the triviality and hierarchy problem of a Z_2-invariant Yukawa
system with massless fermions and a real scalar field, serving as a toy model
for the standard-model Higgs sector. Using the functional RG, we look for UV
stable fixed points which could render the system asymptotically safe. Whether
a balancing of fermionic and bosonic contributions in the RG flow induces such
a fixed point depends on the algebraic structure and the degrees of freedom of
the system. Within the region of parameter space which can be controlled by a
nonperturbative next-to-leading order derivative expansion of the effective
action, we find no non-Gaussian fixed point in the case of one or more fermion
flavors. The fermion-boson balancing can still be demonstrated within a model
system with a small fractional flavor number in the symmetry-broken regime. The
UV behavior of this small-N_f system is controlled by a conformal Higgs
expectation value. The system has only two physical parameters, implying that
the Higgs mass can be predicted. It also naturally explains the heavy mass of
the top quark, since there are no RG trajectories connecting the UV fixed point
with light top masses.
| [
{
"created": "Fri, 16 Jan 2009 11:40:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 13:39:33 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Gies",
"Holger",
""
],
[
"Scherer",
"Michael M.",
""
]
] | We study the triviality and hierarchy problem of a Z_2-invariant Yukawa system with massless fermions and a real scalar field, serving as a toy model for the standard-model Higgs sector. Using the functional RG, we look for UV stable fixed points which could render the system asymptotically safe. Whether a balancing of fermionic and bosonic contributions in the RG flow induces such a fixed point depends on the algebraic structure and the degrees of freedom of the system. Within the region of parameter space which can be controlled by a nonperturbative next-to-leading order derivative expansion of the effective action, we find no non-Gaussian fixed point in the case of one or more fermion flavors. The fermion-boson balancing can still be demonstrated within a model system with a small fractional flavor number in the symmetry-broken regime. The UV behavior of this small-N_f system is controlled by a conformal Higgs expectation value. The system has only two physical parameters, implying that the Higgs mass can be predicted. It also naturally explains the heavy mass of the top quark, since there are no RG trajectories connecting the UV fixed point with light top masses. |
hep-th/0205197 | Athanasios Prikas | Athanasios Prikas | Q-stars and charged q-stars | Latex, 19pg, 12 figures. Accepted in Phys. Rev. D | Phys.Rev.D66:025023,2002 | 10.1103/PhysRevD.66.025023 | null | hep-th | null | We present the formalism of q-stars with local or global U(1) symmetry. The
equations we formulate are solved numerically and provide the main features of
the soliton star. We study its behavior when the symmetry is local in contrast
to the global case. A general result is that the soliton remains stable and
does not decay into free particles and the electrostatic repulsion preserves it
from gravitational collapse. We also investigate the case of a q-star with
non-minimal energy-momentum tensor and find that the soliton is stable even in
some cases of collapse when the coupling to gravity is absent.
| [
{
"created": "Mon, 20 May 2002 09:35:16 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Prikas",
"Athanasios",
""
]
] | We present the formalism of q-stars with local or global U(1) symmetry. The equations we formulate are solved numerically and provide the main features of the soliton star. We study its behavior when the symmetry is local in contrast to the global case. A general result is that the soliton remains stable and does not decay into free particles and the electrostatic repulsion preserves it from gravitational collapse. We also investigate the case of a q-star with non-minimal energy-momentum tensor and find that the soliton is stable even in some cases of collapse when the coupling to gravity is absent. |
0812.3397 | Marco Baumgartl | Marco Baumgartl and Simon Wood | Moduli Webs and Superpotentials for Five-Branes | 41 pages, 1 figure | JHEP 0906:052,2009 | 10.1088/1126-6708/2009/06/052 | LMU-ASC-63/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the one-parameter Calabi-Yau models and identify families of
D5-branes which are associated to lines embedded in these manifolds. The moduli
spaces are given by sets of Riemann curves, which form a web whose intersection
points are described by permutation branes. We arrive at a geometric
interpretation for bulk-boundary correlators as holomorphic differentials on
the moduli space and use this to compute effective open-closed superpotentials
to all orders in the open string couplings. The fixed points of D5-brane moduli
under bulk deformations are determined.
| [
{
"created": "Thu, 18 Dec 2008 15:42:56 GMT",
"version": "v1"
}
] | 2011-02-25 | [
[
"Baumgartl",
"Marco",
""
],
[
"Wood",
"Simon",
""
]
] | We investigate the one-parameter Calabi-Yau models and identify families of D5-branes which are associated to lines embedded in these manifolds. The moduli spaces are given by sets of Riemann curves, which form a web whose intersection points are described by permutation branes. We arrive at a geometric interpretation for bulk-boundary correlators as holomorphic differentials on the moduli space and use this to compute effective open-closed superpotentials to all orders in the open string couplings. The fixed points of D5-brane moduli under bulk deformations are determined. |
hep-th/0307182 | Calin Iuliu Lazaroiu | K. Landsteiner, C. I. Lazaroiu, Radu Tatar | Chiral field theories, Konishi anomalies and matrix models | 43 pages | JHEP 0402:044,2004 | 10.1088/1126-6708/2004/02/044 | IFT-UAM/CSIC-03-16, HU-EP-03/29, UCB-PTH-03/13, LBNL-53386 | hep-th | null | We study a chiral N=1, U(N) field theory in the context of the Dijkgraaf-Vafa
correspondence. Our model contains one adjoint, one conjugate symmetric and one
antisymmetric chiral multiplet, as well as eight fundamentals. We compute the
generalized Konishi anomalies and compare the chiral ring relations they induce
with the loop equations of the (intrinsically holomorphic) matrix model defined
by the tree-level superpotential of the field theory. Surprisingly, we find
that the matrix model is well-defined only if the number of flavors equals two!
Despite this mismatch, we show that the 1/N expansion of the loop equations
agrees with the generalized Konishi constraints. This indicates that the matrix
model - gauge theory correspondence should generally be modified when applied
to theories with net chirality. We also show that this chiral theory produces
the same gaugino superpotential as a nonchiral SO(N) model with a single
symmetric multiplet and a polynomial superpotential.
| [
{
"created": "Mon, 21 Jul 2003 17:35:14 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Landsteiner",
"K.",
""
],
[
"Lazaroiu",
"C. I.",
""
],
[
"Tatar",
"Radu",
""
]
] | We study a chiral N=1, U(N) field theory in the context of the Dijkgraaf-Vafa correspondence. Our model contains one adjoint, one conjugate symmetric and one antisymmetric chiral multiplet, as well as eight fundamentals. We compute the generalized Konishi anomalies and compare the chiral ring relations they induce with the loop equations of the (intrinsically holomorphic) matrix model defined by the tree-level superpotential of the field theory. Surprisingly, we find that the matrix model is well-defined only if the number of flavors equals two! Despite this mismatch, we show that the 1/N expansion of the loop equations agrees with the generalized Konishi constraints. This indicates that the matrix model - gauge theory correspondence should generally be modified when applied to theories with net chirality. We also show that this chiral theory produces the same gaugino superpotential as a nonchiral SO(N) model with a single symmetric multiplet and a polynomial superpotential. |
hep-th/0109048 | Anton Zabrodin | A.Marshakov, P.Wiegmann and A.Zabrodin | Integrable Structure of the Dirichlet Boundary Problem in Two Dimensions | 25 pages, 2 figures, LaTeX | Commun.Math.Phys. 227 (2002) 131-153 | 10.1007/s002200200629 | ITEP/TH-32/01 FIAN/TD-11/01 | hep-th math.CV nlin.SI | null | We study how the solution of the two-dimensional Dirichlet boundary problem
for smooth simply connected domains depends upon variations of the data of the
problem. We show that the Hadamard formula for the variation of the Dirichlet
Green function under deformations of the domain reveals an integrable
structure. The independent variables corresponding to the infinite set of
commuting flows are identified with harmonic moments of the domain. The
solution to the Dirichlet boundary problem is expressed through the
tau-function of the dispersionless Toda hierarchy. We also discuss a degenerate
case of the Dirichlet problem on the plane with a gap. In this case the
tau-function is identical to the partition function of the planar large $N$
limit of the Hermitean one-matrix model.
| [
{
"created": "Thu, 6 Sep 2001 17:31:39 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Marshakov",
"A.",
""
],
[
"Wiegmann",
"P.",
""
],
[
"Zabrodin",
"A.",
""
]
] | We study how the solution of the two-dimensional Dirichlet boundary problem for smooth simply connected domains depends upon variations of the data of the problem. We show that the Hadamard formula for the variation of the Dirichlet Green function under deformations of the domain reveals an integrable structure. The independent variables corresponding to the infinite set of commuting flows are identified with harmonic moments of the domain. The solution to the Dirichlet boundary problem is expressed through the tau-function of the dispersionless Toda hierarchy. We also discuss a degenerate case of the Dirichlet problem on the plane with a gap. In this case the tau-function is identical to the partition function of the planar large $N$ limit of the Hermitean one-matrix model. |
0904.0840 | Anton Kapustin | Anton Kapustin, Mikhail Tikhonov | Abelian duality, walls and boundary conditions in diverse dimensions | 37 pages, latex | JHEP 0911:006,2009 | 10.1088/1126-6708/2009/11/006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically apply the formalism of duality walls to study the action of
duality transformations on boundary conditions and local and nonlocal operators
in two, three, and four-dimensional free field theories. In particular, we
construct a large class of D-branes for two-dimensional sigma-models with
toroidal targets and determine the action of the T-duality group on it. It is
manifest in this formalism that T-duality transformations on D-branes are given
by a differential-geometric version of the Fourier-Mukai transform.
| [
{
"created": "Mon, 6 Apr 2009 04:19:05 GMT",
"version": "v1"
}
] | 2009-11-13 | [
[
"Kapustin",
"Anton",
""
],
[
"Tikhonov",
"Mikhail",
""
]
] | We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we construct a large class of D-branes for two-dimensional sigma-models with toroidal targets and determine the action of the T-duality group on it. It is manifest in this formalism that T-duality transformations on D-branes are given by a differential-geometric version of the Fourier-Mukai transform. |
0801.1492 | Axel Weber | Axel Weber | Muonium spectrum beyond the nonrelativistic limit | 6 pages, LaTeX, 2 figures, uses aipxfm.sty. Talk delivered at the XI
Mexican Workshop on Particles and Fields, Tuxtla Gutierrez, Mexico, November
7-12, 2007; to be published in the proceedings | AIPConf.Proc.1026:204-209,2008 | 10.1063/1.2965046 | null | hep-th | null | A generalization of the Gell-Mann-Low theorem is applied to the
antimuon-electron system. The bound state spectrum is extracted numerically. As
a result, fine and hyperfine structure are reproduced correctly near the
nonrelativistic limit (and for arbitrary masses). We compare the spectrum for
the relativistic value alpha = 0.3 with corresponding calculations in
light-front quantization.
| [
{
"created": "Wed, 9 Jan 2008 19:52:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Weber",
"Axel",
""
]
] | A generalization of the Gell-Mann-Low theorem is applied to the antimuon-electron system. The bound state spectrum is extracted numerically. As a result, fine and hyperfine structure are reproduced correctly near the nonrelativistic limit (and for arbitrary masses). We compare the spectrum for the relativistic value alpha = 0.3 with corresponding calculations in light-front quantization. |
hep-th/9607055 | Ernest Baver | Ernest Baver | New Solvable Lattice Models from Conformal Field Theory | 15 pages, latex, 1 figure | Phys.Lett. B387 (1996) 502-512 | 10.1016/0370-2693(96)01090-8 | WIS-96/28/July-PH | hep-th | null | We build the trigonometric solutions of the Yang-Baxter equation that can not
be obtained from quantum groups in any direct way. The solution is obtained
using the construction suggested recently from the rational conformal field
theory corresponding to the WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$. We
also discuss the full elliptic solution to the Yang-Baxter equation whose
critical limit corresponds to the trigonometric solution found below.
| [
{
"created": "Sun, 7 Jul 1996 13:20:58 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Baver",
"Ernest",
""
]
] | We build the trigonometric solutions of the Yang-Baxter equation that can not be obtained from quantum groups in any direct way. The solution is obtained using the construction suggested recently from the rational conformal field theory corresponding to the WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$. We also discuss the full elliptic solution to the Yang-Baxter equation whose critical limit corresponds to the trigonometric solution found below. |
1705.00329 | Shibaji Roy | Shibaji Roy | Evidence for non-supersymmetric AdS/CFT | 8 pages, Based on the talk given at Ramakrishna Mission Vidyamandira,
Belur Math, Howrah, WB, India in their UGC sponsored National Level Seminar
on "String Theory: the Present and the Future, 16-17 September, 2016 (to
appear in the Proceedings) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AdS/CFT is a conjectured equivalence between a field theory without gravity
(conformal field theory) and a string theory in a special curved background
(anti de-Sitter space), where theories on both sides of the equivalence is
supersymmetric. Since the nature as we observe at low energy is
non-supersymmetric, it will be very useful if we can have this conjecture in
the non-supersymmetric case. Here we will give some evidence that AdS/CFT type
duality must work for non-supersymmetric system. We will indicate some
calculation which leads us to such conclusion.
| [
{
"created": "Sun, 30 Apr 2017 15:40:36 GMT",
"version": "v1"
}
] | 2017-05-02 | [
[
"Roy",
"Shibaji",
""
]
] | AdS/CFT is a conjectured equivalence between a field theory without gravity (conformal field theory) and a string theory in a special curved background (anti de-Sitter space), where theories on both sides of the equivalence is supersymmetric. Since the nature as we observe at low energy is non-supersymmetric, it will be very useful if we can have this conjecture in the non-supersymmetric case. Here we will give some evidence that AdS/CFT type duality must work for non-supersymmetric system. We will indicate some calculation which leads us to such conclusion. |
1308.6674 | Alessandro Braggio | Andrea Amoretti, Alessandro Braggio, Giacomo Caruso, Nicola Maggiore
and Nicodemo Magnoli | 3+1D Massless Weyl spinors from bosonic scalar-tensor duality | null | Advances in High Energy Physics, vol. 2014, Article ID 635286 | 10.1155/2014/635286 | INT-PUB-13-036 | hep-th cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the fermionization of a bosonic free theory characterized by the
3+1D scalar - tensor duality. This duality can be interpreted as the
dimensional reduction, via a planar boundary, of the 4+1D topological BF
theory. In this model, adopting the Sommerfield tomographic representation of
quantized bosonic fields, we explicitly build a fermionic operator and its
associated Klein factor such that it satisfies the correct anticommutation
relations. Interestingly, we demonstrate that this operator satisfies the
massless Dirac equation and that it can be identified with a 3+1D Weyl spinor.
Finally, as an explicit example, we write the integrated charge density in
terms of the tomographic transformed bosonic degrees of freedom.
| [
{
"created": "Fri, 30 Aug 2013 08:21:00 GMT",
"version": "v1"
}
] | 2014-03-21 | [
[
"Amoretti",
"Andrea",
""
],
[
"Braggio",
"Alessandro",
""
],
[
"Caruso",
"Giacomo",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Magnoli",
"Nicodemo",
""
]
] | We consider the fermionization of a bosonic free theory characterized by the 3+1D scalar - tensor duality. This duality can be interpreted as the dimensional reduction, via a planar boundary, of the 4+1D topological BF theory. In this model, adopting the Sommerfield tomographic representation of quantized bosonic fields, we explicitly build a fermionic operator and its associated Klein factor such that it satisfies the correct anticommutation relations. Interestingly, we demonstrate that this operator satisfies the massless Dirac equation and that it can be identified with a 3+1D Weyl spinor. Finally, as an explicit example, we write the integrated charge density in terms of the tomographic transformed bosonic degrees of freedom. |
hep-th/9808150 | Xu-Dong Luo | Yi-Xin Chen, Xu-Dong Luo and Ke Wu | Classically and Quantum Integrable Systems with Boundary | 12 pages, LaTeX, no figure | J.Phys.A32:757-769,1999 | 10.1088/0305-4470/32/5/008 | null | hep-th | null | We study two-dimensional classically integrable field theory with independent
boundary condition on each end, and obtain three possible generating functions
for integrals of motion when this model is an ultralocal one. Classically
integrable boundary condition can be found in solving boundary $K_{\pm}$
equations. In quantum case, we also find that unitarity condition of quantum
$R$- matrix is sufficient to construct commutative quantities with boundary,
and its reflection equations are obtained.
| [
{
"created": "Tue, 25 Aug 1998 03:49:53 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chen",
"Yi-Xin",
""
],
[
"Luo",
"Xu-Dong",
""
],
[
"Wu",
"Ke",
""
]
] | We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion when this model is an ultralocal one. Classically integrable boundary condition can be found in solving boundary $K_{\pm}$ equations. In quantum case, we also find that unitarity condition of quantum $R$- matrix is sufficient to construct commutative quantities with boundary, and its reflection equations are obtained. |
2109.09822 | Daniel Nogradi | Daniel Nogradi, Balint Ozsvath | Dilaton in scalar QFT: a no-go theorem in $4-\varepsilon$ and
$3-\varepsilon$ dimensions | 13 pages | SciPost Phys. 12, 169 (2022) | 10.21468/SciPostPhys.12.5.169 | null | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | Spontaneous scale invariance breaking and the associated Goldstone boson, the
dilaton, is investigated in renormalizable, unitary, interacting
non-supersymmetric scalar field theories in $4-\varepsilon$ dimensions. At
leading order it is possible to construct models which give rise to spontaneous
scale invariance breaking classically and indeed a massless dilaton can be
identified. Beyond leading order, in order to have no anomalous scale symmetry
breaking in QFT, the models need to be defined at a Wilson-Fisher fixed point
with exact conformal symmetry. It is shown that this requirement on the
couplings is incompatible with having the type of flat direction which would be
necessary for an exactly massless dilaton. As a result spontaneous scale
symmetry breaking and an exactly massless dilaton can not occur in
renormalizable, unitary $4-\varepsilon$ dimensional scalar QFT. The arguments
apply to $\phi^6$ theory in $3-\varepsilon$ dimensions as well.
| [
{
"created": "Mon, 20 Sep 2021 20:08:26 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2021 15:51:47 GMT",
"version": "v2"
},
{
"created": "Tue, 3 May 2022 12:18:39 GMT",
"version": "v3"
}
] | 2022-05-25 | [
[
"Nogradi",
"Daniel",
""
],
[
"Ozsvath",
"Balint",
""
]
] | Spontaneous scale invariance breaking and the associated Goldstone boson, the dilaton, is investigated in renormalizable, unitary, interacting non-supersymmetric scalar field theories in $4-\varepsilon$ dimensions. At leading order it is possible to construct models which give rise to spontaneous scale invariance breaking classically and indeed a massless dilaton can be identified. Beyond leading order, in order to have no anomalous scale symmetry breaking in QFT, the models need to be defined at a Wilson-Fisher fixed point with exact conformal symmetry. It is shown that this requirement on the couplings is incompatible with having the type of flat direction which would be necessary for an exactly massless dilaton. As a result spontaneous scale symmetry breaking and an exactly massless dilaton can not occur in renormalizable, unitary $4-\varepsilon$ dimensional scalar QFT. The arguments apply to $\phi^6$ theory in $3-\varepsilon$ dimensions as well. |
1305.4596 | Michal Pawelkiewicz | Leszek Hadasz, Michal Pawelkiewicz, Volker Schomerus | Self-dual Continuous Series of Representations for U_q(sl(2)) and
U_q(osp(1|2)) | 36 pages | null | 10.1007/JHEP10(2014)091 | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous
series of representations of the quantum deformed algebras U_q(sl(2)) and
U_q(osp(1|2)). While our results for the former algebra reproduce formulas by
Ponsot and Teschner, the expressions for the orthosymplectic algebra are new.
Up to some normalization factors, the associated Racah-Wigner coefficients are
shown to agree with the fusing matrix in the Neveu-Schwarz sector of N=1
supersymmetric Liouville field theory.
| [
{
"created": "Mon, 20 May 2013 18:09:05 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Hadasz",
"Leszek",
""
],
[
"Pawelkiewicz",
"Michal",
""
],
[
"Schomerus",
"Volker",
""
]
] | We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras U_q(sl(2)) and U_q(osp(1|2)). While our results for the former algebra reproduce formulas by Ponsot and Teschner, the expressions for the orthosymplectic algebra are new. Up to some normalization factors, the associated Racah-Wigner coefficients are shown to agree with the fusing matrix in the Neveu-Schwarz sector of N=1 supersymmetric Liouville field theory. |
hep-th/0107038 | Juan Antonio Nieto Garcia | J. A. Nieto | S-duality for 2-d gravity | 15 pages, Latex | Phys.Lett. A288 (2001) 154-160 | 10.1016/S0375-9601(01)00553-9 | null | hep-th | null | We investigate the analogue of S-duality for 2-d gravity. Our analysis is
based in a partition function associated to the Katanaev-Volovich type action
for 2-d gravity. We find a S-dual 2-d gravitational action which is related to
the original 2-d gravitational action by strong-weak duality transformation.
| [
{
"created": "Thu, 5 Jul 2001 16:40:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Nieto",
"J. A.",
""
]
] | We investigate the analogue of S-duality for 2-d gravity. Our analysis is based in a partition function associated to the Katanaev-Volovich type action for 2-d gravity. We find a S-dual 2-d gravitational action which is related to the original 2-d gravitational action by strong-weak duality transformation. |
hep-th/0112034 | Dongsu Bak | Dongsu Bak and Nobuyoshi Ohta | Supersymmetric D2 anti-D2 Strings | 11 pages, typos corrected | Phys.Lett. B527 (2002) 131-141 | 10.1016/S0370-2693(02)01161-9 | OU-HET 400, UOSTP-01107 | hep-th | null | We consider the flat supersymmetric D2 and anti-D2 system, which follows from
ordinary noncommutative D2 anti-D2 branes by turning on an appropriate
worldvolume electric field describing dissolved fundamental strings. We study
the strings stretched between D2 and anti-D2 branes and show explicitly that
the would-be tachyonic states become massless. We compute the string spectrum
and clarify the induced noncommutativity on the worldvolume. The results are
compared with the matrix theory description of the worldvolume gauge theories.
| [
{
"created": "Wed, 5 Dec 2001 09:59:22 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2001 03:46:16 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Bak",
"Dongsu",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We consider the flat supersymmetric D2 and anti-D2 system, which follows from ordinary noncommutative D2 anti-D2 branes by turning on an appropriate worldvolume electric field describing dissolved fundamental strings. We study the strings stretched between D2 and anti-D2 branes and show explicitly that the would-be tachyonic states become massless. We compute the string spectrum and clarify the induced noncommutativity on the worldvolume. The results are compared with the matrix theory description of the worldvolume gauge theories. |
0808.0491 | Gregory Korchemsky | J.M.Drummond, J.Henn, G.P.Korchemsky, E.Sokatchev | Generalized unitarity for N=4 super-amplitudes | 41 pages, 9 figures | null | 10.1016/j.nuclphysb.2012.12.009 | LAPTH-1264/08, LPT-Orsay-08-72 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a manifestly supersymmetric version of the generalized unitarity
cut method for calculating scattering amplitudes in N=4 SYM theory. We
illustrate the power of this method by computing the one-loop n-point NMHV
super-amplitudes. The result confirms two conjectures which we made in
arXiv:0807.1095 [hep-th]. Firstly, we derive the compact, manifestly dual
superconformally covariant form of the NMHV tree amplitudes for arbitrary
number and types of external particles. Secondly, we show that the ratio of the
one-loop NMHV to the MHV amplitude is dual conformal invariant.
| [
{
"created": "Mon, 4 Aug 2008 19:54:12 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Drummond",
"J. M.",
""
],
[
"Henn",
"J.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Sokatchev",
"E.",
""
]
] | We develop a manifestly supersymmetric version of the generalized unitarity cut method for calculating scattering amplitudes in N=4 SYM theory. We illustrate the power of this method by computing the one-loop n-point NMHV super-amplitudes. The result confirms two conjectures which we made in arXiv:0807.1095 [hep-th]. Firstly, we derive the compact, manifestly dual superconformally covariant form of the NMHV tree amplitudes for arbitrary number and types of external particles. Secondly, we show that the ratio of the one-loop NMHV to the MHV amplitude is dual conformal invariant. |
1810.04143 | Josh Cork | Josh Cork | Skyrmions from calorons | References added & minor corrections. Matches journal version. 39
pages, 12 figures | J. High Energ. Phys. (2018) 2018: 137 | 10.1007/JHEP11(2018)137 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a one-parameter family of gauged Skyrme models from Yang-Mills
theory on $S^1\times\mathbb{R}^3$, in which skyrmions are well-approximated by
calorons and monopoles. In particular we study the spherically symmetric
solutions to the model with two distinct classes of boundary conditions, and
compare them to calorons and monopoles. Calorons interpolate between instantons
and monopoles in certain limits, and we observe similar behaviour in the
constructed gauged Skyrme model in the weak and strong coupling limits. This
comparison of calorons, monopoles, and skyrmions may be a way to further
understand the apparent relationships between skyrmions and monopoles on
$\mathbb{R}^3$.
| [
{
"created": "Tue, 9 Oct 2018 17:22:07 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2018 15:45:52 GMT",
"version": "v2"
}
] | 2018-11-27 | [
[
"Cork",
"Josh",
""
]
] | We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on $S^1\times\mathbb{R}^3$, in which skyrmions are well-approximated by calorons and monopoles. In particular we study the spherically symmetric solutions to the model with two distinct classes of boundary conditions, and compare them to calorons and monopoles. Calorons interpolate between instantons and monopoles in certain limits, and we observe similar behaviour in the constructed gauged Skyrme model in the weak and strong coupling limits. This comparison of calorons, monopoles, and skyrmions may be a way to further understand the apparent relationships between skyrmions and monopoles on $\mathbb{R}^3$. |
2010.04995 | Abhay Shrestha | Christopher P. Herzog, Abhay Shrestha | Two Point Functions in Defect CFTs | 34 pages, supplementary Mathematica notebook available; v2: Revised
the discussion of embedding space in the Intro, corrected typos, results
unchanged | null | 10.1007/JHEP04(2021)226 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is designed to be a practical tool for constructing and
investigating two-point correlation functions in defect conformal field theory,
directly in physical space, between any two bulk primaries or between a bulk
primary and a defect primary, with arbitrary spin. Although geometrically
elegant and ultimately a more powerful approach, the embedding space formalism
gets rather cumbersome when dealing with mixed symmetry tensors, especially in
the projection to physical space. The results in this paper provide an
alternative method for studying two-point correlation functions for a generic
$d$-dimensional conformal field theory with a flat $p$-dimensional defect and
$d-p=q$ co-dimensions. We tabulate some examples of correlation functions
involving a conserved current, an energy momentum tensor and a Maxwell field
strength, while analysing the constraints arising from conservation and the
equations of motion. A method for obtaining bulk-to-defect correlators is also
explained. Some explicit examples are considered: free scalar theory on
$\mathbb{R}^p \times ({\mathbb R}^q / {\mathbb Z}_2)$ and a free four
dimensional Maxwell theory on a wedge.
| [
{
"created": "Sat, 10 Oct 2020 13:28:07 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2020 18:58:45 GMT",
"version": "v2"
}
] | 2021-05-12 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Shrestha",
"Abhay",
""
]
] | This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a defect primary, with arbitrary spin. Although geometrically elegant and ultimately a more powerful approach, the embedding space formalism gets rather cumbersome when dealing with mixed symmetry tensors, especially in the projection to physical space. The results in this paper provide an alternative method for studying two-point correlation functions for a generic $d$-dimensional conformal field theory with a flat $p$-dimensional defect and $d-p=q$ co-dimensions. We tabulate some examples of correlation functions involving a conserved current, an energy momentum tensor and a Maxwell field strength, while analysing the constraints arising from conservation and the equations of motion. A method for obtaining bulk-to-defect correlators is also explained. Some explicit examples are considered: free scalar theory on $\mathbb{R}^p \times ({\mathbb R}^q / {\mathbb Z}_2)$ and a free four dimensional Maxwell theory on a wedge. |
0904.0862 | Nils Carqueville | Nils Carqueville | Matrix factorisations and open topological string theory | 30 pages; v2: three typos corrected | JHEP 0907:005,2009 | 10.1088/1126-6708/2009/07/005 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Amplitudes in open topological string theory may be described completely by
certain A-infinity-categories. We detail a general construction of all cyclic
minimal models for a given A-infinity-algebra and apply this result to the case
of N=2 supersymmetric Landau-Ginzburg models. This allows to solve the
tree-level theory in the sense that all amplitudes and hence the effective
superpotential can be computed algorithmically. Furthermore, the construction
provides a novel derivation of the topological metric of such models.
| [
{
"created": "Mon, 6 Apr 2009 07:35:17 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jul 2009 15:50:11 GMT",
"version": "v2"
}
] | 2009-07-22 | [
[
"Carqueville",
"Nils",
""
]
] | Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given A-infinity-algebra and apply this result to the case of N=2 supersymmetric Landau-Ginzburg models. This allows to solve the tree-level theory in the sense that all amplitudes and hence the effective superpotential can be computed algorithmically. Furthermore, the construction provides a novel derivation of the topological metric of such models. |
hep-th/9608125 | Anselmi Damiano | D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen | Universality of the Operator Product Expansions of SCFT_4 | LaTeX file, 11 pages, no figure | Phys.Lett.B394:329-336,1997 | 10.1016/S0370-2693(97)00007-5 | HUTP-96/A037, MIT-CTP-2560 and BRX-TH-396 | hep-th | null | We study the operator product algebra of the supercurrent J and Konishi
superfield K in four-dimensional supersymmetric gauge theories. The Konishi
superfield appears in the JJ OPE and the algebra is characterized by two
central charges c and c' and an anomalous dimension h for K. In free field
(one-loop) approximation, c~3N_v+N_\chi and c'~N_\chi, where N_v and N_\chi
are, respectively, the number of vector and chiral multiplets in the theory. In
higher order c, c' and h depend on the gauge and Yukawa couplings and we obtain
the two-loop contributions by combining earlier work on c with our own
calculations of c'. The major result is that the radiative corrections to the
central charges cancel when the one-loop beta-functions vanish, suggesting that
c and c' (but not h) are invariant under continuous deformations of
superconformal theories. The behavior of c and c' along renormalization group
flows is studied from the viewpoint of a c-theorem.
| [
{
"created": "Mon, 19 Aug 1996 20:48:42 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Aug 1996 03:14:11 GMT",
"version": "v2"
},
{
"created": "Tue, 20 May 1997 16:25:54 GMT",
"version": "v3"
}
] | 2009-10-08 | [
[
"Anselmi",
"D.",
""
],
[
"Freedman",
"D. Z.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Johansen",
"A. A.",
""
]
] | We study the operator product algebra of the supercurrent J and Konishi superfield K in four-dimensional supersymmetric gauge theories. The Konishi superfield appears in the JJ OPE and the algebra is characterized by two central charges c and c' and an anomalous dimension h for K. In free field (one-loop) approximation, c~3N_v+N_\chi and c'~N_\chi, where N_v and N_\chi are, respectively, the number of vector and chiral multiplets in the theory. In higher order c, c' and h depend on the gauge and Yukawa couplings and we obtain the two-loop contributions by combining earlier work on c with our own calculations of c'. The major result is that the radiative corrections to the central charges cancel when the one-loop beta-functions vanish, suggesting that c and c' (but not h) are invariant under continuous deformations of superconformal theories. The behavior of c and c' along renormalization group flows is studied from the viewpoint of a c-theorem. |
hep-th/0104037 | Jose Edelstein | Jose D. Edelstein, Kyungho Oh and Radu Tatar | Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge
Theories | 20 pages, LaTeX, no figures | JHEP 0105:009,2001 | 10.1088/1126-6708/2001/05/009 | HUTP-01/A016, HU-EP-01/14 | hep-th | null | We extend the large N duality of four dimensional N=1 supersymmetric
Yang-Mills theory with additional chiral fields and arbitrary superpotential
recently proposed by Cachazo, Intriligator and Vafa to the case of SO/Sp gauge
groups. By orientifolding the geometric transition, we investigate a large N
duality between N=1, SO/Sp supersymmetric theories with arbitrary
superpotential and an Abelian N=2 theory with supersymmetry broken to N=1 by
electric and magnetic Fayet-Iliopoulos terms.
| [
{
"created": "Wed, 4 Apr 2001 20:05:38 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Edelstein",
"Jose D.",
""
],
[
"Oh",
"Kyungho",
""
],
[
"Tatar",
"Radu",
""
]
] | We extend the large N duality of four dimensional N=1 supersymmetric Yang-Mills theory with additional chiral fields and arbitrary superpotential recently proposed by Cachazo, Intriligator and Vafa to the case of SO/Sp gauge groups. By orientifolding the geometric transition, we investigate a large N duality between N=1, SO/Sp supersymmetric theories with arbitrary superpotential and an Abelian N=2 theory with supersymmetry broken to N=1 by electric and magnetic Fayet-Iliopoulos terms. |
1403.7066 | Shun'ya Mizoguchi | Shun'ya Mizoguchi | F-theory Family Unification | 38 pages, 11 figures; v3: references and comments added, typos
corrected, version published in JHEP | null | 10.1007/JHEP07(2014)018 | KEK-TH-1719 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new geometric mechanism for naturally realizing unparallel three
families of flavors in string theory, using the framework of F-theory. We
consider a set of coalesced local 7-branes of a particular Kodaira singularity
type and allow some of the branes to bend and separate from the rest, so that
they meet only at an intersection point. Such a local configuration can
preserve supersymmetry. Its matter spectrum is investigated by studying string
junctions near the intersection, and shown to coincide, after an orbifold
projection, with that of a supersymmetric coset sigma model whose target space
is a homogeneous Kahler manifold associated with a corresponding painted Dynkin
diagram. In particular, if one starts from the E7 singularity, one obtains the
E7/(SU(5)xU(1)^3) model yielding precisely three generations with an unparallel
family structure. Possible applications to string phenomenology are also
discussed.
| [
{
"created": "Thu, 27 Mar 2014 15:04:44 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 11:46:41 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Jul 2014 10:08:11 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Mizoguchi",
"Shun'ya",
""
]
] | We propose a new geometric mechanism for naturally realizing unparallel three families of flavors in string theory, using the framework of F-theory. We consider a set of coalesced local 7-branes of a particular Kodaira singularity type and allow some of the branes to bend and separate from the rest, so that they meet only at an intersection point. Such a local configuration can preserve supersymmetry. Its matter spectrum is investigated by studying string junctions near the intersection, and shown to coincide, after an orbifold projection, with that of a supersymmetric coset sigma model whose target space is a homogeneous Kahler manifold associated with a corresponding painted Dynkin diagram. In particular, if one starts from the E7 singularity, one obtains the E7/(SU(5)xU(1)^3) model yielding precisely three generations with an unparallel family structure. Possible applications to string phenomenology are also discussed. |
1402.2974 | Ioannis Florakis | Ioannis Florakis, Ahmad Zein Assi | N=2 string amplitudes and the Omega background | 11 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent work [1, 2] on obtaining a realisation of the
$\Omega$-background in terms of a special series of higher-derivative
generalised F-terms in the effective $\mathcal{N}=2$ supergravity action. We
discuss the motivation behind the identification of these couplings, their
relation to the Nekrasov partition function and connect them to a worldsheet
approach towards the refined topological string. Presented by the authors at
the Corfu Summer Institute 2013 "Workshop on Noncommutative Field Theory and
Gravity", September 8-15, 2013 Corfu, Greece
| [
{
"created": "Wed, 12 Feb 2014 21:00:10 GMT",
"version": "v1"
}
] | 2014-02-14 | [
[
"Florakis",
"Ioannis",
""
],
[
"Assi",
"Ahmad Zein",
""
]
] | We review recent work [1, 2] on obtaining a realisation of the $\Omega$-background in terms of a special series of higher-derivative generalised F-terms in the effective $\mathcal{N}=2$ supergravity action. We discuss the motivation behind the identification of these couplings, their relation to the Nekrasov partition function and connect them to a worldsheet approach towards the refined topological string. Presented by the authors at the Corfu Summer Institute 2013 "Workshop on Noncommutative Field Theory and Gravity", September 8-15, 2013 Corfu, Greece |
1407.1992 | Kamal Hajian | K. Hajian, A. Seraj, M. M. Sheikh-Jabbari | Near Horizon Extremal Geometry Perturbations: Dynamical Field
Perturbations vs. Parametric Variations | 38 pages | JHEP 1410 (2014) 111 | 10.1007/JHEP10(2014)111 | IPM/P-2014/028 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:1310.3727 we formulated and derived the three universal laws
governing Near Horizon Extremal Geometries (NHEG). In this work we focus on the
Entropy Perturbation Law (EPL) which, similarly to the first law of black hole
thermodynamics, relates perturbations of the charges labeling perturbations
around a given NHEG to the corresponding entropy perturbation. We show that
field perturbations governed by the linearized equations of motion and symmetry
conditions which we carefully specify, satisfy the EPL. We also show that these
perturbations are limited to those coming from difference of two NHEG solutions
(i.e. variations on the NHEG solution parameter space). Our analysis and
discussions shed light on the "no-dynamics" statements of arXiv:0906.2380 and
arXiv:0906.2376.
| [
{
"created": "Tue, 8 Jul 2014 08:38:14 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Hajian",
"K.",
""
],
[
"Seraj",
"A.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In arXiv:1310.3727 we formulated and derived the three universal laws governing Near Horizon Extremal Geometries (NHEG). In this work we focus on the Entropy Perturbation Law (EPL) which, similarly to the first law of black hole thermodynamics, relates perturbations of the charges labeling perturbations around a given NHEG to the corresponding entropy perturbation. We show that field perturbations governed by the linearized equations of motion and symmetry conditions which we carefully specify, satisfy the EPL. We also show that these perturbations are limited to those coming from difference of two NHEG solutions (i.e. variations on the NHEG solution parameter space). Our analysis and discussions shed light on the "no-dynamics" statements of arXiv:0906.2380 and arXiv:0906.2376. |
hep-th/0606253 | Rodrigo Olea | Georgios Kofinas and Rodrigo Olea | Vacuum energy in Einstein-Gauss-Bonnet AdS gravity | RevTex, 5 pages, accepted for publication in PRD | Phys.Rev. D74 (2006) 084035 | 10.1103/PhysRevD.74.084035 | null | hep-th gr-qc | null | A finite action principle for Einstein-Gauss-Bonnet AdS gravity is presented.
The boundary term, which is different for even and odd dimensions, is a
functional of the boundary metric, intrinsic curvature and extrinsic curvature.
For even dimensions, the boundary term corresponds to the maximal Chern form of
the spacetime, and the asymptotic AdS condition for the curvature suffices for
the well-posedness of this action. For odd dimensions, the action is stationary
under a boundary condition on the variation of the extrinsic curvature. The
background-independent Noether charges associated to asymptotic symmetries are
found and the Euclidean continuation of the action correctly describes the
black hole thermodynamics in the canonical ensemble. In particular, this
procedure leads to a covariant formula for the vacuum energy in odd-dimensional
asymptotically AdS spacetimes.
| [
{
"created": "Tue, 27 Jun 2006 10:45:16 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Oct 2006 20:22:15 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Kofinas",
"Georgios",
""
],
[
"Olea",
"Rodrigo",
""
]
] | A finite action principle for Einstein-Gauss-Bonnet AdS gravity is presented. The boundary term, which is different for even and odd dimensions, is a functional of the boundary metric, intrinsic curvature and extrinsic curvature. For even dimensions, the boundary term corresponds to the maximal Chern form of the spacetime, and the asymptotic AdS condition for the curvature suffices for the well-posedness of this action. For odd dimensions, the action is stationary under a boundary condition on the variation of the extrinsic curvature. The background-independent Noether charges associated to asymptotic symmetries are found and the Euclidean continuation of the action correctly describes the black hole thermodynamics in the canonical ensemble. In particular, this procedure leads to a covariant formula for the vacuum energy in odd-dimensional asymptotically AdS spacetimes. |
1509.09122 | Ulrich Harst | Ulrich Harst and Martin Reuter | On selfdual spin-connections and Asymptotic Safety | 14 pages, 4 fgures | null | 10.1016/j.physletb.2015.12.016 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore Euclidean quantum gravity using the tetrad field together with a
selfdual or anti-selfdual spin-connection as the basic field variables. Setting
up a functional renormalization group (RG) equation of a new type which is
particularly suitable for the corresponding theory space we determine the
non-perturbative RG flow within a two-parameter truncation suggested by the
Holst action. We find that the (anti-)selfdual theory is likely to be
asymptotically safe. The existing evidence for its non-perturbative
renormalizability is comparable to that of Einstein-Cartan gravity without the
selfduality condition.
| [
{
"created": "Wed, 30 Sep 2015 11:04:08 GMT",
"version": "v1"
}
] | 2015-12-23 | [
[
"Harst",
"Ulrich",
""
],
[
"Reuter",
"Martin",
""
]
] | We explore Euclidean quantum gravity using the tetrad field together with a selfdual or anti-selfdual spin-connection as the basic field variables. Setting up a functional renormalization group (RG) equation of a new type which is particularly suitable for the corresponding theory space we determine the non-perturbative RG flow within a two-parameter truncation suggested by the Holst action. We find that the (anti-)selfdual theory is likely to be asymptotically safe. The existing evidence for its non-perturbative renormalizability is comparable to that of Einstein-Cartan gravity without the selfduality condition. |
2109.14633 | Oscar J. C. Dias | Oscar J.C. Dias, Gary T. Horowitz, Jorge E. Santos | Extremal black holes that are not extremal: maximal warm holes | 34 pages, 13 figures. v2: references and minor comments added | null | 10.1007/JHEP01(2022)064 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study a family of four-dimensional, asymptotically flat, charged black
holes that develop (charged) scalar hair as one increases their charge at fixed
mass. Surprisingly, the maximum charge for given mass is a nonsingular hairy
black hole with nonzero Hawking temperature. The implications for Hawking
evaporation are discussed.
| [
{
"created": "Wed, 29 Sep 2021 18:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 2021 09:58:38 GMT",
"version": "v2"
}
] | 2022-02-02 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | We study a family of four-dimensional, asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Surprisingly, the maximum charge for given mass is a nonsingular hairy black hole with nonzero Hawking temperature. The implications for Hawking evaporation are discussed. |
hep-th/9202079 | null | Abhay Ashtekar, Carlo Rovelli and Lee Smolin | Self Duality and Quantization | 14 pages | J.Geom.Phys.8:7-27,1992 | 10.1016/0393-0440(92)90041-X | null | hep-th | null | Quantum theory of the free Maxwell field in Minkowski space is constructed
using a representation in which the self dual connection is diagonal. Quantum
states are now holomorphic functionals of self dual connections and a
decomposition of fields into positive and negative frequency parts is
unnecessary. The construction requires the introduction of new mathematical
techniques involving ``holomorphic distributions''. The method extends also to
linear gravitons in Minkowski space. The fact that one can recover the entire
Fock space --with particles of both helicities-- from self dual connections
alone provides independent support for a non-perturbative, canonical
quantization program for full general relativity based on self dual variables.
| [
{
"created": "Mon, 24 Feb 1992 05:59:00 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Ashtekar",
"Abhay",
""
],
[
"Rovelli",
"Carlo",
""
],
[
"Smolin",
"Lee",
""
]
] | Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic functionals of self dual connections and a decomposition of fields into positive and negative frequency parts is unnecessary. The construction requires the introduction of new mathematical techniques involving ``holomorphic distributions''. The method extends also to linear gravitons in Minkowski space. The fact that one can recover the entire Fock space --with particles of both helicities-- from self dual connections alone provides independent support for a non-perturbative, canonical quantization program for full general relativity based on self dual variables. |
hep-th/0107044 | Katrin Becker | Katrin Becker and Melanie Becker | Supersymmetry Breaking, M-Theory and Fluxes | 17 pages, TEX, no figures. References added | JHEP 0107:038,2001 | 10.1088/1126-6708/2001/07/038 | CALT-68-2334, UMD-PP-01-063 | hep-th | null | We consider warped compactifications of ${\cal M}$-theory to
three-dimensional Minkowski space on compact eight-manifolds. Taking all the
leading quantum gravity corrections of eleven-dimensional supergravity into
account we obtain the solution to the equations of motion and Bianchi
identities. Generically these vacua are not supersymmetric and yet have a
vanishing three-dimensional cosmological constant.
| [
{
"created": "Fri, 6 Jul 2001 15:31:12 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jul 2001 22:28:56 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
]
] | We consider warped compactifications of ${\cal M}$-theory to three-dimensional Minkowski space on compact eight-manifolds. Taking all the leading quantum gravity corrections of eleven-dimensional supergravity into account we obtain the solution to the equations of motion and Bianchi identities. Generically these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant. |
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