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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1503.03699 | Ivan Masterov | Ivan Masterov | N=2 supersymmetric Pais-Uhlenbeck oscillator | Published version | Mod. Phys. Lett. A, Vol. 30 (2015) 1550107 | 10.1142/S0217732315501072 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an N=2 supersymmetric extension of the Pais-Uhlenbeck oscillator
for distinct frequencies of oscillation. A link to a set of decoupled N=2
supersymmetric harmonic oscillators with alternating sign in the Hamiltonian is
introduced. Symmetries of the model are discussed in detail. The investigation
of a quantum counterpart of the constructed model shows that the corresponding
Fock space contains negative norm states and the energy spectrum of the system
is unbounded from below.
| [
{
"created": "Thu, 12 Mar 2015 12:51:30 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2015 06:17:29 GMT",
"version": "v2"
}
] | 2015-06-01 | [
[
"Masterov",
"Ivan",
""
]
] | We construct an N=2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N=2 supersymmetric harmonic oscillators with alternating sign in the Hamiltonian is introduced. Symmetries of the model are discussed in detail. The investigation of a quantum counterpart of the constructed model shows that the corresponding Fock space contains negative norm states and the energy spectrum of the system is unbounded from below. |
1801.07127 | Andreas Stergiou | Andreas Stergiou | Bootstrapping hypercubic and hypertetrahedral theories in three
dimensions | 24 pages, 18 figures. v2: A reference added. v3: A couple of changes.
v4: Expanded discussion on structural phase transitions, added some epsilon
expansion results. Version to appear in JHEP | null | 10.1007/JHEP05(2018)035 | CERN-TH-2018-012 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There are three generalizations of the Platonic solids that exist in all
dimensions, namely the hypertetrahedron, the hypercube, and the
hyperoctahedron, with the latter two being dual. Conformal field theories with
the associated symmetry groups as global symmetries can be argued to exist in
$d=3$ spacetime dimensions if the $\varepsilon=4-d$ expansion is valid when
$\varepsilon\to1$. In this paper hypercubic and hypertetrahedral theories are
studied with the non-perturbative numerical conformal bootstrap. In the $N=3$
cubic case it is found that a bound with a kink is saturated by a solution with
properties that cannot be reconciled with the $\varepsilon$ expansion of the
cubic theory. Possible implications for cubic magnets and structural phase
transitions are discussed. For the hypertetrahedral theory evidence is found
that the non-conformal window that is seen with the $\varepsilon$ expansion
exists in $d=3$ as well, and a rough estimate of its extent is given.
| [
{
"created": "Mon, 22 Jan 2018 14:41:17 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2018 16:20:20 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Mar 2018 08:23:55 GMT",
"version": "v3"
},
{
"created": "Sat, 28 Apr 2018 07:31:01 GMT",
"version": "v4"
}
] | 2018-06-13 | [
[
"Stergiou",
"Andreas",
""
]
] | There are three generalizations of the Platonic solids that exist in all dimensions, namely the hypertetrahedron, the hypercube, and the hyperoctahedron, with the latter two being dual. Conformal field theories with the associated symmetry groups as global symmetries can be argued to exist in $d=3$ spacetime dimensions if the $\varepsilon=4-d$ expansion is valid when $\varepsilon\to1$. In this paper hypercubic and hypertetrahedral theories are studied with the non-perturbative numerical conformal bootstrap. In the $N=3$ cubic case it is found that a bound with a kink is saturated by a solution with properties that cannot be reconciled with the $\varepsilon$ expansion of the cubic theory. Possible implications for cubic magnets and structural phase transitions are discussed. For the hypertetrahedral theory evidence is found that the non-conformal window that is seen with the $\varepsilon$ expansion exists in $d=3$ as well, and a rough estimate of its extent is given. |
2402.05776 | Soumangsu Chakraborty Dr | Soumangsu Chakraborty, Amit Giveon and Akikazu Hashimoto | On string theory on deformed BTZ and $T\bar T$ | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aspects of superstring theory on deformed BTZ black holes, formed near
$k$~NS5 branes by $p$~fundamental strings, and single-trace $T\bar T$
holography, are presented. The excitation energy of a singly wound long string
plus its contribution to the energy of the black hole, $1/p$ fraction of the
black-hole energy, is the same as that in $T\bar T$ deformed $CFT_2$ with
$c=6k$. This supports the claim that the black hole can be thought of as a
state in a symmetric product of $p$~$CFT_2$'s of central charge~$6k$, where the
black-hole energy is split equally among all $p$ factors. A comment on
superstring theory on deformed global $AdS_3$ is also presented.
| [
{
"created": "Thu, 8 Feb 2024 16:03:42 GMT",
"version": "v1"
}
] | 2024-02-09 | [
[
"Chakraborty",
"Soumangsu",
""
],
[
"Giveon",
"Amit",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] | Aspects of superstring theory on deformed BTZ black holes, formed near $k$~NS5 branes by $p$~fundamental strings, and single-trace $T\bar T$ holography, are presented. The excitation energy of a singly wound long string plus its contribution to the energy of the black hole, $1/p$ fraction of the black-hole energy, is the same as that in $T\bar T$ deformed $CFT_2$ with $c=6k$. This supports the claim that the black hole can be thought of as a state in a symmetric product of $p$~$CFT_2$'s of central charge~$6k$, where the black-hole energy is split equally among all $p$ factors. A comment on superstring theory on deformed global $AdS_3$ is also presented. |
1212.4618 | Achilleas Passias | Dario Martelli, Achilleas Passias, James Sparks | The supersymmetric NUTs and bolts of holography | 54 pages plus 7 appendices; v2: discussion of global properties of
gauge field A in eleven dimensions improved and some parts of the paper
rewritten to reflect this, new subsections 6.4.1, 6.4.2 and appendix F added,
references added; v3: final version published in Nuclear Physics B | Nucl.Phys.B876:810-870,2013 | 10.1016/j.nuclphysb.2013.04.026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a given conformal boundary can have a rich and intricate space
of supersymmetric supergravity solutions filling it, focusing on the case where
this conformal boundary is a biaxially squashed Lens space. Generically we find
that the biaxially squashed Lens space S^3/Z_p admits Taub-NUT-AdS fillings,
with topology R^4/Z_p, as well as smooth Taub-Bolt-AdS fillings with
non-trivial topology. We show that the Taub-NUT-AdS solutions always lift to
solutions of M-theory, and correspondingly that the gravitational free energy
then agrees with the large N limit of the dual field theory free energy,
obtained from the localized partition function of a class of N=2
Chern-Simons-matter theories. However, the solutions of Taub-Bolt-AdS type only
lift to M-theory for appropriate classes of internal manifold, meaning that
these solutions exist only for corresponding classes of three-dimensional N=2
field theories.
| [
{
"created": "Wed, 19 Dec 2012 10:26:24 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2013 17:22:44 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Sep 2013 08:28:14 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Martelli",
"Dario",
""
],
[
"Passias",
"Achilleas",
""
],
[
"Sparks",
"James",
""
]
] | We show that a given conformal boundary can have a rich and intricate space of supersymmetric supergravity solutions filling it, focusing on the case where this conformal boundary is a biaxially squashed Lens space. Generically we find that the biaxially squashed Lens space S^3/Z_p admits Taub-NUT-AdS fillings, with topology R^4/Z_p, as well as smooth Taub-Bolt-AdS fillings with non-trivial topology. We show that the Taub-NUT-AdS solutions always lift to solutions of M-theory, and correspondingly that the gravitational free energy then agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N=2 Chern-Simons-matter theories. However, the solutions of Taub-Bolt-AdS type only lift to M-theory for appropriate classes of internal manifold, meaning that these solutions exist only for corresponding classes of three-dimensional N=2 field theories. |
2210.16274 | Samuel Valach | Kuo-Wei Huang, Robin Karlsson, Andrei Parnachev, Samuel Valach | Freedom near Lightcone and ANEC Saturation | 38 pages. v3: Minor changes, references added | null | 10.1007/JHEP05(2023)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Averaged Null Energy Conditions (ANECs) hold in unitary quantum field
theories. In conformal field theories, ANECs in states created by the
application of the stress tensor to the vacuum lead to three constraints on the
stress-tensor three-point couplings, depending on the choice of polarization.
The same constraints follow from considering two-point functions of the stress
tensor in a thermal state and focusing on the contribution of the stress tensor
in the operator product expansion (OPE). One can observe this in holographic
Gauss-Bonnet gravity, where ANEC saturation coincides with the appearance of
superluminal signal propagation in thermal states. We show that, when this
happens, the corresponding generalizations of ANECs for higher-spin
multi-stress tensor operators with minimal twist are saturated as well and all
contributions from such operators to the thermal two-point functions vanish in
the lightcone limit. This leads to a special near-lightcone behavior of the
thermal stress-tensor correlators -- they take the vacuum form, independent of
temperature.
| [
{
"created": "Fri, 28 Oct 2022 17:06:58 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2023 18:50:35 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Apr 2023 13:14:53 GMT",
"version": "v3"
}
] | 2023-05-31 | [
[
"Huang",
"Kuo-Wei",
""
],
[
"Karlsson",
"Robin",
""
],
[
"Parnachev",
"Andrei",
""
],
[
"Valach",
"Samuel",
""
]
] | Averaged Null Energy Conditions (ANECs) hold in unitary quantum field theories. In conformal field theories, ANECs in states created by the application of the stress tensor to the vacuum lead to three constraints on the stress-tensor three-point couplings, depending on the choice of polarization. The same constraints follow from considering two-point functions of the stress tensor in a thermal state and focusing on the contribution of the stress tensor in the operator product expansion (OPE). One can observe this in holographic Gauss-Bonnet gravity, where ANEC saturation coincides with the appearance of superluminal signal propagation in thermal states. We show that, when this happens, the corresponding generalizations of ANECs for higher-spin multi-stress tensor operators with minimal twist are saturated as well and all contributions from such operators to the thermal two-point functions vanish in the lightcone limit. This leads to a special near-lightcone behavior of the thermal stress-tensor correlators -- they take the vacuum form, independent of temperature. |
2308.01371 | Timotej Lemut | Sa\v{s}o Grozdanov, Timotej Lemut, Juan F. Pedraza | Reconstruction of the quasinormal spectrum from pole-skipping | 10 pages, 1 figure | Phys. Rev. D 108, L101901 (2023) | 10.1103/PhysRevD.108.L101901 | IFT-UAM/CSIC-23-94 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic gauge/gravity duality provides an explicit reduction of
quantum field theory (QFT) calculations in the semi-classical large-$N$ limit
to sets of `gravitational' differential equations whose analysis can reveal all
details of the spectra of thermal QFT correlators. We argue that in certain
cases, a complete reconstruction of the spectrum and of the corresponding
correlator is possible from only the knowledge of an infinite, discrete set of
pole-skipping points traversed by a single (hydrodynamic) mode computed in a
series expansion in an inverse number of spacetime dimensions. Conceptually,
this reduces the computation of a QFT correlator spectrum to performing a set
of purely algebraic manipulations. With the help of the pole-skipping analysis,
we also uncover a novel structure underpinning the coefficients that enter the
hydrodynamic dispersion relations.
| [
{
"created": "Wed, 2 Aug 2023 18:24:55 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2023 19:25:13 GMT",
"version": "v2"
}
] | 2023-11-08 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Lemut",
"Timotej",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | The holographic gauge/gravity duality provides an explicit reduction of quantum field theory (QFT) calculations in the semi-classical large-$N$ limit to sets of `gravitational' differential equations whose analysis can reveal all details of the spectra of thermal QFT correlators. We argue that in certain cases, a complete reconstruction of the spectrum and of the corresponding correlator is possible from only the knowledge of an infinite, discrete set of pole-skipping points traversed by a single (hydrodynamic) mode computed in a series expansion in an inverse number of spacetime dimensions. Conceptually, this reduces the computation of a QFT correlator spectrum to performing a set of purely algebraic manipulations. With the help of the pole-skipping analysis, we also uncover a novel structure underpinning the coefficients that enter the hydrodynamic dispersion relations. |
0708.2272 | Juan Maldacena | Diego M. Hofman and Juan Maldacena | Reflecting magnons | 49 pages, 11 figures | JHEP 0711:063,2007 | 10.1088/1126-6708/2007/11/063 | null | hep-th | null | We study the worldsheet reflection matrix of a string attached to a D-brane
in $AdS_5 \times S^5$. The D-brane corresponds to a maximal giant graviton and
it wraps an $S^3$ inside $S^5$. In the gauge theory, the open string is
described by a spin chain with boundaries. We study an open string with a large
SO(6) charge, which allows us to focus on one boundary at a time and to define
an asymptotic boundary reflection matrix. We consider two cases corresponding
to two possible relative orientations for the charges of the giant graviton and
the open string. Using the symmetries of the problem we compute the boundary
reflection matrix up to a phase. These matrices obey the boundary Yang Baxter
equation. A crossing equation is derived for the overall phase. We perform weak
coupling computations up to two loops and obtain results that are consistent
with integrability. Finally, we determine the phase factor at strong coupling
using classical solutions.
| [
{
"created": "Thu, 16 Aug 2007 19:51:10 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 21:24:09 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Hofman",
"Diego M.",
""
],
[
"Maldacena",
"Juan",
""
]
] | We study the worldsheet reflection matrix of a string attached to a D-brane in $AdS_5 \times S^5$. The D-brane corresponds to a maximal giant graviton and it wraps an $S^3$ inside $S^5$. In the gauge theory, the open string is described by a spin chain with boundaries. We study an open string with a large SO(6) charge, which allows us to focus on one boundary at a time and to define an asymptotic boundary reflection matrix. We consider two cases corresponding to two possible relative orientations for the charges of the giant graviton and the open string. Using the symmetries of the problem we compute the boundary reflection matrix up to a phase. These matrices obey the boundary Yang Baxter equation. A crossing equation is derived for the overall phase. We perform weak coupling computations up to two loops and obtain results that are consistent with integrability. Finally, we determine the phase factor at strong coupling using classical solutions. |
1707.05811 | Irene Valenzuela | Luis E. Ibanez, Victor Martin-Lozano and Irene Valenzuela | Constraining the EW Hierarchy from the Weak Gravity Conjecture | 3 pages, 2 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this addendum we complement the remarks made in ref[1] constraining the
value of the cosmological constant $\Lambda_4$ in terms of neutrino masses.
Those were based on a sharpened version of the Weak Gravity Conjecture as
applied to compactifications of the SM to lower dimensions. We argue that the
same line of reasoning implies that for fixed values of $\Lambda_4$ and the
Yukawa coupling of the lightest neutrino $Y_{\nu_1}$, the EW scale is bounded
above. This is a trivial consequence of neutrino masses depending on the Higgs
vev. In the case of massive Majorana neutrinos with a see-saw mechanism
associated to a large scale $M\simeq 10^{10-14}$ GeV and $Y_{\nu_1}\simeq
10^{-3}$, one obtains that the EW scale cannot exceed $M_{EW}\lesssim
10^2-10^4$ GeV. From this point of view, the delicate fine-tuning required to
get a small EW scale would be a mirage, since parameters yielding higher EW
scales would be in the swampland and would not count as possible consistent
theories. This would bring a new perspective into the issue of the EW
hierarchy.
| [
{
"created": "Tue, 18 Jul 2017 18:33:08 GMT",
"version": "v1"
}
] | 2017-07-20 | [
[
"Ibanez",
"Luis E.",
""
],
[
"Martin-Lozano",
"Victor",
""
],
[
"Valenzuela",
"Irene",
""
]
] | In this addendum we complement the remarks made in ref[1] constraining the value of the cosmological constant $\Lambda_4$ in terms of neutrino masses. Those were based on a sharpened version of the Weak Gravity Conjecture as applied to compactifications of the SM to lower dimensions. We argue that the same line of reasoning implies that for fixed values of $\Lambda_4$ and the Yukawa coupling of the lightest neutrino $Y_{\nu_1}$, the EW scale is bounded above. This is a trivial consequence of neutrino masses depending on the Higgs vev. In the case of massive Majorana neutrinos with a see-saw mechanism associated to a large scale $M\simeq 10^{10-14}$ GeV and $Y_{\nu_1}\simeq 10^{-3}$, one obtains that the EW scale cannot exceed $M_{EW}\lesssim 10^2-10^4$ GeV. From this point of view, the delicate fine-tuning required to get a small EW scale would be a mirage, since parameters yielding higher EW scales would be in the swampland and would not count as possible consistent theories. This would bring a new perspective into the issue of the EW hierarchy. |
1812.10971 | Carlos Mafra | Carlos R. Mafra, Oliver Schlotterer | Towards the n-point one-loop superstring amplitude III: One-loop
correlators and their double-copy structure | 77 pages, v2: published version | JHEP 1908 (2019) 092 | 10.1007/JHEP08(2019)092 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this final part of a series of three papers, we will assemble
supersymmetric expressions for one-loop correlators in pure-spinor superspace
that are BRST invariant, local, and single valued. A key driving force in this
construction is the generalization of a so far unnoticed property at tree
level; the correlators have the symmetry structure akin to Lie polynomials.
One-loop correlators up to seven points are presented in a variety of
representations manifesting different subsets of their defining properties.
These expressions are related via identities obeyed by the kinematic
superfields and worldsheet functions spelled out in the first two parts of this
series and reflecting a duality between the two kinds of ingredients.
Interestingly, the expression for the eight-point correlator following from
our method seems to capture correctly all the dependence on the worldsheet
punctures but leaves undetermined the coefficient of the holomorphic Eisenstein
series ${\rm G}_4$. By virtue of chiral splitting, closed-string correlators
follow from the double copy of the open-string results.
| [
{
"created": "Fri, 28 Dec 2018 12:13:00 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2019 16:57:26 GMT",
"version": "v2"
}
] | 2019-09-11 | [
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree level; the correlators have the symmetry structure akin to Lie polynomials. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series ${\rm G}_4$. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results. |
1012.4001 | Niklas Beisert | R. Roiban | Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a
Brief Introduction | 23 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated | null | 10.1007/s11005-011-0517-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review current efficient techniques for the construction of multi-leg and
multi-loop on-shell scattering amplitudes in supersymmetric gauge theories.
Examples in the maximally supersymmetric Yang-Mills theory in four dimensions
are included.
| [
{
"created": "Fri, 17 Dec 2010 20:58:20 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:30:57 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Roiban",
"R.",
""
]
] | We review current efficient techniques for the construction of multi-leg and multi-loop on-shell scattering amplitudes in supersymmetric gauge theories. Examples in the maximally supersymmetric Yang-Mills theory in four dimensions are included. |
hep-th/0108182 | Jan Plefka | Jan Plefka and Matthias Staudacher | Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory | 21 pages, 1 figure | JHEP 0109:031,2001 | 10.1088/1126-6708/2001/09/031 | AEI-2001-106 | hep-th | null | We present a full two-loop O(g^6) perturbative field theoretic calculation of
the expectation value of two circular Maldacena-Wilson loops in D=4 N=4
supersymmetric U(N) gauge theory. It is demonstrated that, after taking into
account very subtle cancellations of bulk and boundary divergences, the result
is completely finite without any renormalization. As opposed to previous lower
order calculations existing in the literature, internal vertex diagrams no
longer cancel identically and lead to subleading corrections to the dominant
ladder diagrams. Taking limits, we proceed to extract the two-loop static
potential corresponding to two infinite anti-parallel lines. Our result gives
some evidence that the existing strong-coupling calculations using the AdS/CFT
conjecture might sum up the full set of large N planar Feynman diagrams.
| [
{
"created": "Fri, 24 Aug 2001 11:25:31 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Plefka",
"Jan",
""
],
[
"Staudacher",
"Matthias",
""
]
] | We present a full two-loop O(g^6) perturbative field theoretic calculation of the expectation value of two circular Maldacena-Wilson loops in D=4 N=4 supersymmetric U(N) gauge theory. It is demonstrated that, after taking into account very subtle cancellations of bulk and boundary divergences, the result is completely finite without any renormalization. As opposed to previous lower order calculations existing in the literature, internal vertex diagrams no longer cancel identically and lead to subleading corrections to the dominant ladder diagrams. Taking limits, we proceed to extract the two-loop static potential corresponding to two infinite anti-parallel lines. Our result gives some evidence that the existing strong-coupling calculations using the AdS/CFT conjecture might sum up the full set of large N planar Feynman diagrams. |
0709.3487 | Pedro Vieira G. | Nikolay Gromov, Pedro Vieira | Complete 1-loop test of AdS/CFT | 12 figures. References added. Couple of words added to abstract | JHEP 0804:046,2008 | 10.1088/1126-6708/2008/04/046 | null | hep-th | null | We analyze nested Bethe ansatz (NBA) and the corresponding finite size
corrections. We find an integral equation which describes these corrections in
a closed form. As an application we considered the conjectured
Beisert-Staudacher (BS) equations with the Hernandez-Lopez dressing factor
where the finite size corrections should reproduce generic one (worldsheet)
loop computations around any classical superstring motion in the AdS_5 x S^5
background with exponential precision in the large angular momentum of the
string states. Indeed, we show that our integral equation can be interpreted as
a sum over all physical fluctuations and thus prove the complete 1-loop
consistency of the BS equations. In other words we demonstrate that any local
conserved charge (including the AdS Energy) computed from the BS equations is
indeed given at 1-loop by the sum of charges of fluctuations up to
exponentially suppressed contributions. Contrary to all previous studies of
finite size corrections, which were limited to simple configurations inside
rank one subsectors, our treatment is completely general.
| [
{
"created": "Fri, 21 Sep 2007 17:59:00 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2007 21:27:50 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Gromov",
"Nikolay",
""
],
[
"Vieira",
"Pedro",
""
]
] | We analyze nested Bethe ansatz (NBA) and the corresponding finite size corrections. We find an integral equation which describes these corrections in a closed form. As an application we considered the conjectured Beisert-Staudacher (BS) equations with the Hernandez-Lopez dressing factor where the finite size corrections should reproduce generic one (worldsheet) loop computations around any classical superstring motion in the AdS_5 x S^5 background with exponential precision in the large angular momentum of the string states. Indeed, we show that our integral equation can be interpreted as a sum over all physical fluctuations and thus prove the complete 1-loop consistency of the BS equations. In other words we demonstrate that any local conserved charge (including the AdS Energy) computed from the BS equations is indeed given at 1-loop by the sum of charges of fluctuations up to exponentially suppressed contributions. Contrary to all previous studies of finite size corrections, which were limited to simple configurations inside rank one subsectors, our treatment is completely general. |
hep-th/9907098 | David Tong | Neil. D. Lambert and David Tong | Kinky D-Strings | Latex. 23 pages. 1 figure | Nucl.Phys. B569 (2000) 606-624 | 10.1016/S0550-3213(99)00610-0 | KCL-TH-99-26 | hep-th | null | We study two-dimensional SQED viewed as the world-volume theory of a D-string
in the presence of D5-branes with non-zero background fields that induce
attractive forces between the branes. In various approximations, the low-energy
dynamics is given by a hyperKahler, or hyperKahler with torsion, massive
sigma-model. We demonstrate the existence of kink solutions corresponding to
the string interpolating between different D5-branes. Bound states of the
D-string with fundamental strings are identified with Q-kinks which, in turn,
are identified with dyonic instanton strings on the D5-brane world-volume.
| [
{
"created": "Tue, 13 Jul 1999 14:37:26 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lambert",
"Neil. D.",
""
],
[
"Tong",
"David",
""
]
] | We study two-dimensional SQED viewed as the world-volume theory of a D-string in the presence of D5-branes with non-zero background fields that induce attractive forces between the branes. In various approximations, the low-energy dynamics is given by a hyperKahler, or hyperKahler with torsion, massive sigma-model. We demonstrate the existence of kink solutions corresponding to the string interpolating between different D5-branes. Bound states of the D-string with fundamental strings are identified with Q-kinks which, in turn, are identified with dyonic instanton strings on the D5-brane world-volume. |
2402.04657 | Masataka Matsumoto | Shuta Ishigaki, Masataka Matsumoto, Ryosuke Yoshii | A domain wall and chiral edge currents in holographic chiral phase
transitions | 30 pages, 20 figures; v2: version published in JHEP | J. High Energ. Phys. 2024, 274 (2024) | 10.1007/JHEP05(2024)274 | null | hep-th cond-mat.str-el nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate spatially inhomogeneous solutions in a top-down holographic
model: the D3/D7 model which provides a holographic description of the chiral
phase transition for a finite external magnetic field, chemical potential, and
temperature. We numerically find a domain wall (or kink) solution in the three
dimensional space, which incorporates between the chiral symmetry broken phase
at the spatial infinity, under the homogeneous sources. Along with the
inhomogeneity of the chiral condensate, the charge density is also spatially
modulated. The modulated charge density and finite magnetic field lead to the
chiral edge current close to the domain wall. We explore the dependences of
those profiles on the chemical potential and temperature near the first and
second order phase transition points. Our results indicate that the
inhomogeneous solutions we found are in good agreement with those obtained by
the Ginzburg--Landau theory in the vicinity of the transition points.
| [
{
"created": "Wed, 7 Feb 2024 08:44:54 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2024 01:58:19 GMT",
"version": "v2"
}
] | 2024-05-28 | [
[
"Ishigaki",
"Shuta",
""
],
[
"Matsumoto",
"Masataka",
""
],
[
"Yoshii",
"Ryosuke",
""
]
] | We investigate spatially inhomogeneous solutions in a top-down holographic model: the D3/D7 model which provides a holographic description of the chiral phase transition for a finite external magnetic field, chemical potential, and temperature. We numerically find a domain wall (or kink) solution in the three dimensional space, which incorporates between the chiral symmetry broken phase at the spatial infinity, under the homogeneous sources. Along with the inhomogeneity of the chiral condensate, the charge density is also spatially modulated. The modulated charge density and finite magnetic field lead to the chiral edge current close to the domain wall. We explore the dependences of those profiles on the chemical potential and temperature near the first and second order phase transition points. Our results indicate that the inhomogeneous solutions we found are in good agreement with those obtained by the Ginzburg--Landau theory in the vicinity of the transition points. |
1612.08826 | Zi-qiang Zhang | Zi-qiang Zhang, De-fu Hou and Gang Chen | The effect of chemical potential on imaginary potential and entropic
force | null | Physics Letter B 768, 180 (2017) | 10.1016/j.physletb.2017.02.055 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Imaginary potential and entropic force represent different mechanisms for
melting the heavy quarkonium. In this paper, we study the chemical potential
effect on these two quantities with respect to a moving quarkonium from the
AdS/CTF duality. We observe that for both mechanisms the chemical potential has
the same effect: the presence of the chemical potential tends to decrease the
dissociation length.
| [
{
"created": "Wed, 28 Dec 2016 08:54:00 GMT",
"version": "v1"
}
] | 2017-07-04 | [
[
"Zhang",
"Zi-qiang",
""
],
[
"Hou",
"De-fu",
""
],
[
"Chen",
"Gang",
""
]
] | Imaginary potential and entropic force represent different mechanisms for melting the heavy quarkonium. In this paper, we study the chemical potential effect on these two quantities with respect to a moving quarkonium from the AdS/CTF duality. We observe that for both mechanisms the chemical potential has the same effect: the presence of the chemical potential tends to decrease the dissociation length. |
1205.5646 | Roberto Emparan | Roberto Emparan, Marina Martinez | Black Branes in a Box: Hydrodynamics, Stability, and Criticality | 23 pages, 3 figures. v2: added comments on first-order phase
transition | JHEP 1207 (2012) 120 | 10.1007/JHEP07(2012)120 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effective hydrodynamics of neutral black branes enclosed in a
finite cylindrical cavity with Dirichlet boundary conditions. We focus on how
the Gregory-Laflamme instability changes as we vary the cavity radius R. Fixing
the metric at the cavity wall increases the rigidity of the black brane by
hindering gradients of the redshift on the wall. In the effective fluid, this
is reflected in the growth of the squared speed of sound. As a consequence,
when the cavity is smaller than a critical radius the black brane becomes
dynamically stable. The correlation with the change in thermodynamic stability
is transparent in our approach. We compute the bulk and shear viscosities of
the black brane and find that they do not run with R. We find mean-field theory
critical exponents near the critical point.
| [
{
"created": "Fri, 25 May 2012 09:29:51 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2012 18:41:59 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Emparan",
"Roberto",
""
],
[
"Martinez",
"Marina",
""
]
] | We study the effective hydrodynamics of neutral black branes enclosed in a finite cylindrical cavity with Dirichlet boundary conditions. We focus on how the Gregory-Laflamme instability changes as we vary the cavity radius R. Fixing the metric at the cavity wall increases the rigidity of the black brane by hindering gradients of the redshift on the wall. In the effective fluid, this is reflected in the growth of the squared speed of sound. As a consequence, when the cavity is smaller than a critical radius the black brane becomes dynamically stable. The correlation with the change in thermodynamic stability is transparent in our approach. We compute the bulk and shear viscosities of the black brane and find that they do not run with R. We find mean-field theory critical exponents near the critical point. |
hep-th/0409172 | Massimo Porrati | M. Porrati | Massive Gravity in Ads and Minkowski Backgrounds | 8 pages, to appear in the proceedings of "Deserfest: A celebration of
the life and works of Stanley Deser," University of Michigan, Ann Arbor,
April 3-5, 2004 | null | null | null | hep-th | null | I review some interesting features of massive gravity in two maximally
symmetric backgrounds: Anti de Sitter space and Minkowski space. While massive
gravity in AdS can be seen as a spontaneously broken, UV safe theory, no such
interpretation exists yet in the flat-space case. Here, I point out the
problems encountered in trying to find such completion, and possible mechanisms
to overcome them.
| [
{
"created": "Thu, 16 Sep 2004 15:52:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Porrati",
"M.",
""
]
] | I review some interesting features of massive gravity in two maximally symmetric backgrounds: Anti de Sitter space and Minkowski space. While massive gravity in AdS can be seen as a spontaneously broken, UV safe theory, no such interpretation exists yet in the flat-space case. Here, I point out the problems encountered in trying to find such completion, and possible mechanisms to overcome them. |
2211.09036 | Diego Delmastro | Diego Delmastro, Jaume Gomis | RG flows in 2d QCD | 56 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | 2d QCD, Yang-Mills theory with gauge group G and massless quarks in
representations (R_\ell, R_r) of G, flows in the infrared to a CFT or a TQFT
depending on whether spectrum is gapless or gapped. We identify the infrared
effective theory and construct the explicit RG flow map between the QCD
operators in the UV and the IR, in particular identifying which operators
create massive excitations and decouple in the IR, and those that create
massless excitations or vacua and remain as nontrivial IR operators. We
determine the exact scaling dimensions of the QCD operators that remain in the
IR, which generically acquire large anomalous dimensions. We also study QCD
deformed by various operators in the ultraviolet (such as mass terms or
four-fermi interactions), and determine the theory that emerges at low
energies. We conjecture and provide some evidence for QCD deformed by various
operators developing a nonperturbative fermion condensate that dynamically
breaks the gauge symmetry G, thus explicitly realizing an old idea known as
"tumbling" in an exactly soluble setting.
| [
{
"created": "Wed, 16 Nov 2022 16:48:52 GMT",
"version": "v1"
}
] | 2022-11-17 | [
[
"Delmastro",
"Diego",
""
],
[
"Gomis",
"Jaume",
""
]
] | 2d QCD, Yang-Mills theory with gauge group G and massless quarks in representations (R_\ell, R_r) of G, flows in the infrared to a CFT or a TQFT depending on whether spectrum is gapless or gapped. We identify the infrared effective theory and construct the explicit RG flow map between the QCD operators in the UV and the IR, in particular identifying which operators create massive excitations and decouple in the IR, and those that create massless excitations or vacua and remain as nontrivial IR operators. We determine the exact scaling dimensions of the QCD operators that remain in the IR, which generically acquire large anomalous dimensions. We also study QCD deformed by various operators in the ultraviolet (such as mass terms or four-fermi interactions), and determine the theory that emerges at low energies. We conjecture and provide some evidence for QCD deformed by various operators developing a nonperturbative fermion condensate that dynamically breaks the gauge symmetry G, thus explicitly realizing an old idea known as "tumbling" in an exactly soluble setting. |
hep-th/9801085 | Ichiro Oda | Ichiro Oda | Matrix Theory from Schild Action | 8 pages, LaTex | null | null | EDO-EP-18 | hep-th | null | Starting from the Schild action for membrane, we present an alternative
formulation of Matrix Theory. First of all, we construct the Schild action for
general bosonic p-brane which is classically equivalent to the Nambu-Goto
action for p-brane. Next, based on the constraint obtained from the variational
equation for the auxiliary field in the case of $p = 2$ (membrane), we
construct a new matrix model which is closely related to the matrix model of
M-theory as developed by Banks, Fischler, Shenker and Susskind (BFSS). Our
present formulation is a natural extension of the construction of type IIB
matrix model by Yoneya to the case of M-theory.
| [
{
"created": "Tue, 13 Jan 1998 19:20:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Oda",
"Ichiro",
""
]
] | Starting from the Schild action for membrane, we present an alternative formulation of Matrix Theory. First of all, we construct the Schild action for general bosonic p-brane which is classically equivalent to the Nambu-Goto action for p-brane. Next, based on the constraint obtained from the variational equation for the auxiliary field in the case of $p = 2$ (membrane), we construct a new matrix model which is closely related to the matrix model of M-theory as developed by Banks, Fischler, Shenker and Susskind (BFSS). Our present formulation is a natural extension of the construction of type IIB matrix model by Yoneya to the case of M-theory. |
2212.00722 | Andriniaina Narindra Rasoanaivo | Valimbavaka F. Rabearinoro, Andriniaina N. Rasoanaivo, Roland
Raboanary | Universality of the Weinberg theorem using helicity constraints | Contribution to HEPMAD 22, 12th HEP International Conference (10-16
October 2022, Antananarivo - MG) | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | The factorisation of scattering amplitude is described by the Weinberg
theorem. In this talk, we will show the universality of the theorem at the next
leading correction of the soft expansion. For that we will derive the soft
operator by solving helicity constraint relations.
| [
{
"created": "Thu, 1 Dec 2022 18:26:08 GMT",
"version": "v1"
}
] | 2022-12-02 | [
[
"Rabearinoro",
"Valimbavaka F.",
""
],
[
"Rasoanaivo",
"Andriniaina N.",
""
],
[
"Raboanary",
"Roland",
""
]
] | The factorisation of scattering amplitude is described by the Weinberg theorem. In this talk, we will show the universality of the theorem at the next leading correction of the soft expansion. For that we will derive the soft operator by solving helicity constraint relations. |
hep-th/0504221 | Hirosi Ooguri | Robbert Dijkgraaf, Rajesh Gopakumar, Hirosi Ooguri, and Cumrun Vafa | Baby Universes in String Theory | 39 pages, 7 figures | Phys.Rev.D73:066002,2006 | 10.1103/PhysRevD.73.066002 | CALT-68-2557, HUTP-05/A019, ITFA-2005-14 | hep-th gr-qc | null | We argue that the holographic description of four-dimensional BPS black holes
naturally includes multi-center solutions. This suggests that the holographic
dual to the gauge theory is not a single AdS_2 times S^2 but a coherent
ensemble of them. We verify this in a particular class of examples, where the
two-dimensional Yang-Mills theory gives a holographic description of the black
holes obtained by branes wrapping Calabi-Yau cycles. Using the free fermionic
formulation, we show that O(e^{-N}) non-perturbative effects entangle the two
Fermi surfaces. In an Euclidean description, the wave-function of the
multi-center black holes gets mapped to the Hartle-Hawking wave-function of
baby universes. This provides a concrete realization, within string theory, of
effects that can be interpreted as the creation of baby universes. We find
that, at least in the case we study, the baby universes do not lead to a loss
of quantum coherence, in accord with general arguments.
| [
{
"created": "Wed, 27 Apr 2005 16:46:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dijkgraaf",
"Robbert",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We argue that the holographic description of four-dimensional BPS black holes naturally includes multi-center solutions. This suggests that the holographic dual to the gauge theory is not a single AdS_2 times S^2 but a coherent ensemble of them. We verify this in a particular class of examples, where the two-dimensional Yang-Mills theory gives a holographic description of the black holes obtained by branes wrapping Calabi-Yau cycles. Using the free fermionic formulation, we show that O(e^{-N}) non-perturbative effects entangle the two Fermi surfaces. In an Euclidean description, the wave-function of the multi-center black holes gets mapped to the Hartle-Hawking wave-function of baby universes. This provides a concrete realization, within string theory, of effects that can be interpreted as the creation of baby universes. We find that, at least in the case we study, the baby universes do not lead to a loss of quantum coherence, in accord with general arguments. |
hep-th/9711005 | Tom Banks | T.Banks (Rutgers U.), W.Fischler (U. Texas, Austin), I.R.Klebanov
(Princeton U.), L.Susskind (Stanford U.) | Schwarzchild Black Holes in Matrix Theory II | 20 pages,harvmac,big, Some Typos corrected, 1 reference added | JHEP 9801:008,1998 | 10.1088/1126-6708/1998/01/008 | null | hep-th | null | We present a crude Matrix Theory model for Schwarzchild black holes in
uncompactified dimension greater than $5$. The model accounts for the size,
entropy, and long range state interactions of black holes. The key feature of
the model is a Boltzmann gas of D0 branes, a concept which depends on certain
qualitative features of Matrix Theory which have not previously been utilized
in studies of black holes.
| [
{
"created": "Sun, 2 Nov 1997 23:12:25 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 1997 01:04:38 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Banks",
"T.",
"",
"Rutgers U."
],
[
"Fischler",
"W.",
"",
"U. Texas, Austin"
],
[
"Klebanov",
"I. R.",
"",
"Princeton U."
],
[
"Susskind",
"L.",
"",
"Stanford U."
]
] | We present a crude Matrix Theory model for Schwarzchild black holes in uncompactified dimension greater than $5$. The model accounts for the size, entropy, and long range state interactions of black holes. The key feature of the model is a Boltzmann gas of D0 branes, a concept which depends on certain qualitative features of Matrix Theory which have not previously been utilized in studies of black holes. |
hep-th/0207039 | Sannino Francesco | Poul Olesen and Francesco Sannino (The Niels Bohr Institute & NORDITA) | N=1 Super Yang-Mills from Supergravity: The UV-IR Connection | RevTex 4, 8 pages. Corrected typos and added references | null | null | null | hep-th hep-ph | null | We consider the Maldacena-Nunez supergravity solution corresponding to N=1
super Yang-Mills within the approach by Di Vecchia, Lerda and Merlatti. We show
that if one uses the radial distance as a field theory scale, the corresponding
beta function has an infrared fixed point. Assuming this to be a physical
property for all four dimensional non-singular renormalization schemes, we use
the relation between the gaugino condensate and its dual to investigate the
connection between the IR and UV behaviors. Imposing the ``field theory
boundary condition'' that the first two terms in the perturbative UV beta
function are universal, the fixed point is found to be of first order, and the
slope of the IR beta function is also fixed.
| [
{
"created": "Thu, 4 Jul 2002 12:16:06 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2002 11:55:58 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2002 09:36:19 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Olesen",
"Poul",
"",
"The Niels Bohr Institute & NORDITA"
],
[
"Sannino",
"Francesco",
"",
"The Niels Bohr Institute & NORDITA"
]
] | We consider the Maldacena-Nunez supergravity solution corresponding to N=1 super Yang-Mills within the approach by Di Vecchia, Lerda and Merlatti. We show that if one uses the radial distance as a field theory scale, the corresponding beta function has an infrared fixed point. Assuming this to be a physical property for all four dimensional non-singular renormalization schemes, we use the relation between the gaugino condensate and its dual to investigate the connection between the IR and UV behaviors. Imposing the ``field theory boundary condition'' that the first two terms in the perturbative UV beta function are universal, the fixed point is found to be of first order, and the slope of the IR beta function is also fixed. |
1003.2694 | Keun-young Kim | Nick Evans, Astrid Gebauer, Keun-Young Kim, and Maria Magou | Phase diagram of the D3/D5 system in a magnetic field and a BKT
transition | 5 pages, 3 figures, V2: references added | Phys.Lett.B698:91-95,2011 | 10.1016/j.physletb.2011.03.004 | null | hep-th cond-mat.str-el hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the full temperature and chemical potential dependence of the D3/D5
2+1 dimensional theory in the presence of a magnetic field. The theory displays
separate transitions associated with chiral symmetry breaking and melting of
the bound states. We display the phase diagram which has areas with first and
second order transitions meeting at two critical points similar to that of the
D3/D7 system. In addition there is the recently reported BKT transition at zero
temperature leading to distinct structure at low temperatures.
| [
{
"created": "Sat, 13 Mar 2010 09:33:19 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2011 21:46:09 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Evans",
"Nick",
""
],
[
"Gebauer",
"Astrid",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Magou",
"Maria",
""
]
] | We study the full temperature and chemical potential dependence of the D3/D5 2+1 dimensional theory in the presence of a magnetic field. The theory displays separate transitions associated with chiral symmetry breaking and melting of the bound states. We display the phase diagram which has areas with first and second order transitions meeting at two critical points similar to that of the D3/D7 system. In addition there is the recently reported BKT transition at zero temperature leading to distinct structure at low temperatures. |
0908.1881 | John Estes | Francois Bourliot, John Estes, Costas Kounnas and Herve Partouche | Cosmological Phases of the String Thermal Effective Potential | 60 pages, 1 figure | Nucl.Phys.B830:330-373,2010 | 10.1016/j.nuclphysb.2010.01.004 | CPHT-RR079.0709, LPTENS-09/24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a superstring framework, the free energy density, F, can be determined
unambiguously at the full string level once supersymmetry is spontaneously
broken via geometrical fluxes. We show explicitly that only the moduli
associated to the supersymmetry breaking may give relevant contributions. All
other spectator moduli \mu_I give exponentially suppressed contributions for
relatively small (as compared to the string scale) temperature, T, and
supersymmetry breaking scale, M. More concisely, for \mu_I > T and M, F takes
the form
F(T,M; \mu_I)=F(T,M)+O[exp(- {\mu_I\over T}), exp(- {\mu_I\over M})]
We study the cosmological regime where T and M are below the Hagedorn
temperature scale T_H. In this regime, F remains finite for any values of the
spectator moduli \mu_I. We investigate extensively the case of one spectator
modulus \mu_d corresponding to R_d, the radius-modulus field of an internal
compactified dimension. We show that its thermal effective potential admits
five phases, each of which can be described by a distinct but different
effective field theory. For late cosmological times, the Universe is attracted
to a "Radiation-like evolution" with M(t) ~ T(t)~ 1/a(t)~ t^{-2/d}. The
spectator modulus \mu(t) is stabilized either to the stringy enhanced symmetry
point where R_d=1, or fixed at an arbitrary constant \mu_0>T,M. For arbitrary
boundary conditions at some initial time, t_E, \mu(t) may pass through more
than one effective field theory phase before its final attraction.
| [
{
"created": "Thu, 13 Aug 2009 12:21:15 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 2009 11:32:21 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Sep 2009 06:18:37 GMT",
"version": "v3"
},
{
"created": "Thu, 4 Mar 2010 16:41:15 GMT",
"version": "v4"
}
] | 2014-11-20 | [
[
"Bourliot",
"Francois",
""
],
[
"Estes",
"John",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Partouche",
"Herve",
""
]
] | In a superstring framework, the free energy density, F, can be determined unambiguously at the full string level once supersymmetry is spontaneously broken via geometrical fluxes. We show explicitly that only the moduli associated to the supersymmetry breaking may give relevant contributions. All other spectator moduli \mu_I give exponentially suppressed contributions for relatively small (as compared to the string scale) temperature, T, and supersymmetry breaking scale, M. More concisely, for \mu_I > T and M, F takes the form F(T,M; \mu_I)=F(T,M)+O[exp(- {\mu_I\over T}), exp(- {\mu_I\over M})] We study the cosmological regime where T and M are below the Hagedorn temperature scale T_H. In this regime, F remains finite for any values of the spectator moduli \mu_I. We investigate extensively the case of one spectator modulus \mu_d corresponding to R_d, the radius-modulus field of an internal compactified dimension. We show that its thermal effective potential admits five phases, each of which can be described by a distinct but different effective field theory. For late cosmological times, the Universe is attracted to a "Radiation-like evolution" with M(t) ~ T(t)~ 1/a(t)~ t^{-2/d}. The spectator modulus \mu(t) is stabilized either to the stringy enhanced symmetry point where R_d=1, or fixed at an arbitrary constant \mu_0>T,M. For arbitrary boundary conditions at some initial time, t_E, \mu(t) may pass through more than one effective field theory phase before its final attraction. |
hep-th/9908151 | J. Antonio Garcia Zenteno | J.M. Pons and J. Antonio Garcia | Rigid and gauge Noether symmetries for constrained systems | 22 pages, RevTeX | Int.J.Mod.Phys. A15 (2000) 4681-4721 | 10.1142/S0217751X00001968 | null | hep-th gr-qc math-ph math.MP | null | We develop the general theory of Noether symmetries for constrained systems.
In our derivation, the Dirac bracket structure with respect to the primary
constraints appears naturally and plays an important role in the
characterization of the conserved quantities associated to these Noether
symmetries. The issue of projectability of these symmetries from tangent space
to phase space is fully analyzed, and we give a geometrical interpretation of
the projectability conditions in terms of a relation between the Noether
conserved quantity in tangent space and the presymplectic form defined on it.
We also examine the enlarged formalism that results from taking the Lagrange
multipliers as new dynamical variables; we find the equation that characterizes
the Noether symmetries in this formalism. The algebra of generators for Noether
symmetries is discussed in both the Hamiltonian and Lagrangian formalisms. We
find that a frequent source for the appearance of open algebras is the fact
that the transformations of momenta in phase space and tangent space only
coincide on shell. Our results apply with no distinction to rigid and gauge
symmetries; for the latter case we give a general proof of existence of Noether
gauge symmetries for theories with first and second class constraints that do
not exhibit tertiary constraints in the stabilization algorithm. Among some
examples that illustrate our results, we study the Noether gauge symmetries of
the Abelian Chern-Simons theory in $2n+1$ dimensions. An interesting feature of
this example is that its primary constraints can only be identified after the
determination of the secondary constraint. The example is worked out retaining
all the original set of variables.
| [
{
"created": "Tue, 24 Aug 1999 16:43:03 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Aug 1999 00:23:08 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Pons",
"J. M.",
""
],
[
"Garcia",
"J. Antonio",
""
]
] | We develop the general theory of Noether symmetries for constrained systems. In our derivation, the Dirac bracket structure with respect to the primary constraints appears naturally and plays an important role in the characterization of the conserved quantities associated to these Noether symmetries. The issue of projectability of these symmetries from tangent space to phase space is fully analyzed, and we give a geometrical interpretation of the projectability conditions in terms of a relation between the Noether conserved quantity in tangent space and the presymplectic form defined on it. We also examine the enlarged formalism that results from taking the Lagrange multipliers as new dynamical variables; we find the equation that characterizes the Noether symmetries in this formalism. The algebra of generators for Noether symmetries is discussed in both the Hamiltonian and Lagrangian formalisms. We find that a frequent source for the appearance of open algebras is the fact that the transformations of momenta in phase space and tangent space only coincide on shell. Our results apply with no distinction to rigid and gauge symmetries; for the latter case we give a general proof of existence of Noether gauge symmetries for theories with first and second class constraints that do not exhibit tertiary constraints in the stabilization algorithm. Among some examples that illustrate our results, we study the Noether gauge symmetries of the Abelian Chern-Simons theory in $2n+1$ dimensions. An interesting feature of this example is that its primary constraints can only be identified after the determination of the secondary constraint. The example is worked out retaining all the original set of variables. |
hep-th/9806110 | null | J.C. Osborn, D. Toublan and J.J.M. Verbaarschot | From chiral Random Matrix Theory to chiral Perturbation Theory | 32 pages, Latex and 4 postscript figures; Clarified discussion of
choice of integration measure and corrected typos | Nucl.Phys. B540 (1999) 317-344 | 10.1016/S0550-3213(98)00716-0 | SUNY-NTG-98/25 | hep-th cond-mat | null | We study the spectrum of the QCD Dirac operator by means of the valence quark
mass dependence of the chiral condensate in partially quenched Chiral
Perturbation Theory (pqChPT) in the supersymmetric formulation of Bernard and
Golterman. We consider valence quark masses both in the ergodic domain ($m_v
\ll E_c$) and the diffusive domain ($m_v \gg E_c$). These domains are separated
by a mass scale $E_c \sim F^2/\Sigma_0 L^2$ (with $F$ the pion decay constant,
$\Sigma_0$ the chiral condensate and $L$ the size of the box). In the ergodic
domain the effective super-Lagrangian reproduces the microscopic spectral
density of chiral Random Matrix Theory (chRMT). We obtain a natural explanation
of Damgaard's relation between the spectral density and the finite volume
partition function with two additional flavors. We argue that in the ergodic
domain the natural measure for the superunitary integration in the pqChPT
partition function is noncompact. We find that the tail of the two-point
spectral correlation function derived from pqChPT agrees with the chRMT result
in the ergodic domain. In the diffusive domain we extend the results for the
slope of the Dirac spectrum first obtained by Smilga and Stern. We find that
the spectral density diverges logarithmically for nonzero topological
susceptibility. We study the transition between the ergodic and the diffusive
domain and identify a range where chRMT and pqChPT coincide.
| [
{
"created": "Sun, 14 Jun 1998 18:55:31 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 1998 22:01:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Osborn",
"J. C.",
""
],
[
"Toublan",
"D.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We study the spectrum of the QCD Dirac operator by means of the valence quark mass dependence of the chiral condensate in partially quenched Chiral Perturbation Theory (pqChPT) in the supersymmetric formulation of Bernard and Golterman. We consider valence quark masses both in the ergodic domain ($m_v \ll E_c$) and the diffusive domain ($m_v \gg E_c$). These domains are separated by a mass scale $E_c \sim F^2/\Sigma_0 L^2$ (with $F$ the pion decay constant, $\Sigma_0$ the chiral condensate and $L$ the size of the box). In the ergodic domain the effective super-Lagrangian reproduces the microscopic spectral density of chiral Random Matrix Theory (chRMT). We obtain a natural explanation of Damgaard's relation between the spectral density and the finite volume partition function with two additional flavors. We argue that in the ergodic domain the natural measure for the superunitary integration in the pqChPT partition function is noncompact. We find that the tail of the two-point spectral correlation function derived from pqChPT agrees with the chRMT result in the ergodic domain. In the diffusive domain we extend the results for the slope of the Dirac spectrum first obtained by Smilga and Stern. We find that the spectral density diverges logarithmically for nonzero topological susceptibility. We study the transition between the ergodic and the diffusive domain and identify a range where chRMT and pqChPT coincide. |
1104.0468 | Roberto Soldati | Roberto Soldati | Pairs Emission in a Uniform Background Field: an Algebraic Approach | 26 pages, no figures | J. Phys. A: Math. Theor. 44 (2011) 305401 (25 pp) | 10.1088/1751-8113/44/30/305401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A fully algebraic general approach is developed to treat the pairs emission
and absorption in the presence of some uniform external background field. In
particular, it is shown that the pairs production and annihilation operators,
together with the pairs number operator, do actually fulfill the SU(2)
functional Lie algebra. As an example of application, the celebrated Schwinger
formula is consistently and nicely recovered, within this novel approach, for a
Dirac spinor field in the presence of a constant and homogeneous electric field
in four spacetime dimensions.
| [
{
"created": "Mon, 4 Apr 2011 05:55:10 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2011 17:18:54 GMT",
"version": "v2"
}
] | 2011-06-24 | [
[
"Soldati",
"Roberto",
""
]
] | A fully algebraic general approach is developed to treat the pairs emission and absorption in the presence of some uniform external background field. In particular, it is shown that the pairs production and annihilation operators, together with the pairs number operator, do actually fulfill the SU(2) functional Lie algebra. As an example of application, the celebrated Schwinger formula is consistently and nicely recovered, within this novel approach, for a Dirac spinor field in the presence of a constant and homogeneous electric field in four spacetime dimensions. |
1706.08158 | Andrei Mikhailov | Andrei Mikhailov | A minimalistic pure spinor sigma-model in AdS | 35pp. LaTeX; v2,3,4: corrections, improved presentation, v5: added
Section 5.4 (gluing the BV phase space from charts) and Section 6, v6:
published version with minor corrections | null | 10.1007/JHEP07(2018)155 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $b$-ghost of the pure spinor formalism in a general curved background is
not holomorphic. For such theories, the construction of the string measure
requires the knowledge of the action of diffeomorphisms on the BV phase space.
We construct such an action for the pure spinor sigma-model in $AdS_5\times
S^5$. From the point of view of the BV formalism, this sigma-model belongs to
the class of theories where the expansion of the Master Action in antifields
terminates at the quadratic order. We show that it can be reduced to a simpler
degenerate sigma-model, preserving the AdS symmetries. We construct the action
of the algebra of worldsheet vector fields on the BV phase space of this
minimalistic sigma-model, and explain how to lift it to the original model.
| [
{
"created": "Sun, 25 Jun 2017 19:10:49 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2017 17:40:03 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jul 2017 17:32:42 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Aug 2017 03:31:58 GMT",
"version": "v4"
},
{
"cr... | 2021-03-23 | [
[
"Mikhailov",
"Andrei",
""
]
] | The $b$-ghost of the pure spinor formalism in a general curved background is not holomorphic. For such theories, the construction of the string measure requires the knowledge of the action of diffeomorphisms on the BV phase space. We construct such an action for the pure spinor sigma-model in $AdS_5\times S^5$. From the point of view of the BV formalism, this sigma-model belongs to the class of theories where the expansion of the Master Action in antifields terminates at the quadratic order. We show that it can be reduced to a simpler degenerate sigma-model, preserving the AdS symmetries. We construct the action of the algebra of worldsheet vector fields on the BV phase space of this minimalistic sigma-model, and explain how to lift it to the original model. |
2208.07032 | Henry Lin | Henry W. Lin | The bulk Hilbert space of double scaled SYK | 31 pages, 12 figures; v2-v4: fewer typos, more refs and
clarifications | null | 10.1007/JHEP11(2022)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emergence of the bulk Hilbert space is a mysterious concept in
holography. In arXiv:1811.02584, the SYK model was solved in the double scaling
limit by summing chord diagrams. Here, we explicitly construct the bulk Hilbert
space of double scaled SYK by slicing open these chord diagrams; this Hilbert
space resembles that of a lattice field theory where the length of the lattice
is dynamical and determined by the chord number. Under a calculable
bulk-to-boundary map, states of fixed chord number map to particular entangled
2-sided states with a corresponding size. This bulk reconstruction is
well-defined even when quantum gravity effects are important. Acting on the
double scaled Hilbert space is a Type II$_1$ algebra of observables, which
includes the Hamiltonian and matter operators. In the appropriate quantum
Schwarzian limit, we also identify the JT gravitational algebra including the
physical SL(2,R) symmetry generators, and obtain explicit representations of
the algebra using chord diagram techniques.
| [
{
"created": "Mon, 15 Aug 2022 07:10:31 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2022 17:18:10 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Nov 2022 19:08:32 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Aug 2023 16:44:09 GMT",
"version": "v4"
}
] | 2023-08-22 | [
[
"Lin",
"Henry W.",
""
]
] | The emergence of the bulk Hilbert space is a mysterious concept in holography. In arXiv:1811.02584, the SYK model was solved in the double scaling limit by summing chord diagrams. Here, we explicitly construct the bulk Hilbert space of double scaled SYK by slicing open these chord diagrams; this Hilbert space resembles that of a lattice field theory where the length of the lattice is dynamical and determined by the chord number. Under a calculable bulk-to-boundary map, states of fixed chord number map to particular entangled 2-sided states with a corresponding size. This bulk reconstruction is well-defined even when quantum gravity effects are important. Acting on the double scaled Hilbert space is a Type II$_1$ algebra of observables, which includes the Hamiltonian and matter operators. In the appropriate quantum Schwarzian limit, we also identify the JT gravitational algebra including the physical SL(2,R) symmetry generators, and obtain explicit representations of the algebra using chord diagram techniques. |
1504.01477 | Paul Sutcliffe | Stefano Bolognesi, Derek Harland and Paul Sutcliffe | Magnetic bags in hyperbolic space | 21 pages. 3 figures | Phys. Rev. D 92, 025052 (2015) | 10.1103/PhysRevD.92.025052 | DCPT-15/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A magnetic bag is an abelian approximation to a large number of coincident
SU(2) BPS monopoles. In this paper we consider magnetic bags in hyperbolic
space and derive their Nahm transform from the large charge limit of the
discrete Nahm equation for hyperbolic monopoles. An advantage of studying
magnetic bags in hyperbolic space, rather than Euclidean space, is that a range
of exact charge N hyperbolic monopoles can be constructed, for arbitrarily
large values of N, and compared with the magnetic bag approximation. We show
that a particular magnetic bag (the magnetic disc) provides a good description
of the axially symmetric N-monopole. However, an abelian magnetic bag is not a
good approximation to a roughly spherical N-monopole that has more than N zeros
of the Higgs field. We introduce an extension of the magnetic bag that does
provide a good approximation to such monopoles and involves a spherical
non-abelian interior for the bag, in addition to the conventional abelian
exterior.
| [
{
"created": "Tue, 7 Apr 2015 05:39:45 GMT",
"version": "v1"
}
] | 2015-08-05 | [
[
"Bolognesi",
"Stefano",
""
],
[
"Harland",
"Derek",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | A magnetic bag is an abelian approximation to a large number of coincident SU(2) BPS monopoles. In this paper we consider magnetic bags in hyperbolic space and derive their Nahm transform from the large charge limit of the discrete Nahm equation for hyperbolic monopoles. An advantage of studying magnetic bags in hyperbolic space, rather than Euclidean space, is that a range of exact charge N hyperbolic monopoles can be constructed, for arbitrarily large values of N, and compared with the magnetic bag approximation. We show that a particular magnetic bag (the magnetic disc) provides a good description of the axially symmetric N-monopole. However, an abelian magnetic bag is not a good approximation to a roughly spherical N-monopole that has more than N zeros of the Higgs field. We introduce an extension of the magnetic bag that does provide a good approximation to such monopoles and involves a spherical non-abelian interior for the bag, in addition to the conventional abelian exterior. |
1111.6015 | Masaya Yata | Masaya Yata | Chiral Zeromodes on Vortex-type Intersecting Heterotic Five-branes | 10 pages, 2 figures | null | 10.1142/S0217732312500721 | KEK-TH-1509 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the gaugino Dirac equation on a smeared intersecting five-brane
solution in E_8\times E_8 heterotic string theory to search for localized
chiral zeromodes on the intersection. The background is chosen to depend on the
full two-dimensional overall transverse coordinates to the branes. Under some
appropriate boundary conditions, we compute the complete spectrum of zeromodes
to find that, among infinite towers of Fourier modes, there exist only three
localized normalizable zeromodes, one of which has opposite chirality to the
other two. This agrees with the result previously obtained in the domain-wall
type solution, supporting the claim that there exists one net chiral zeromode
localized on the heterotic five-brane system.
| [
{
"created": "Fri, 25 Nov 2011 15:11:37 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Yata",
"Masaya",
""
]
] | We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E_8\times E_8 heterotic string theory to search for localized chiral zeromodes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zeromodes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zeromodes, one of which has opposite chirality to the other two. This agrees with the result previously obtained in the domain-wall type solution, supporting the claim that there exists one net chiral zeromode localized on the heterotic five-brane system. |
2303.17623 | Justin Kaidi | Justin Kaidi, Kantaro Ohmori, Yuji Tachikawa, Kazuya Yonekura | Non-supersymmetric heterotic branes | 5 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The common statement that any consistent quantum gravity theory contains
dynamical objects with all possible charges suggests that there are still a
number of hitherto-unidentified branes in string theory. Here we give the exact
worldsheet description of near-horizon limits of non-supersymmetric $p$-branes
in ten-dimensional $\mathrm{Spin}(32)/\mathbb{Z}_2$ or $(E_8 \times E_8)
\rtimes \mathbb{Z}_2$ heterotic superstring theories for $p=7,6,4,0$.
| [
{
"created": "Thu, 30 Mar 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-04-03 | [
[
"Kaidi",
"Justin",
""
],
[
"Ohmori",
"Kantaro",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Yonekura",
"Kazuya",
""
]
] | The common statement that any consistent quantum gravity theory contains dynamical objects with all possible charges suggests that there are still a number of hitherto-unidentified branes in string theory. Here we give the exact worldsheet description of near-horizon limits of non-supersymmetric $p$-branes in ten-dimensional $\mathrm{Spin}(32)/\mathbb{Z}_2$ or $(E_8 \times E_8) \rtimes \mathbb{Z}_2$ heterotic superstring theories for $p=7,6,4,0$. |
hep-th/0406058 | Cumrun Vafa | Cumrun Vafa | Two Dimensional Yang-Mills, Black Holes and Topological Strings | 20 pages | null | null | HUTP-04/A026 | hep-th | null | We show that topological strings on a class of non-compact Calabi-Yau
threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus.
We explain this correspondence using the recent results on the equivalence of
the partition function of topological strings and that of four dimensional BPS
black holes, which in turn is holographically dual to the field theory on a
brane. The partition function of the field theory on the brane reduces, for the
ground state sector, to that of 2d Yang-Mills theory. We conjecture that the
large N chiral factorization of the 2d U(N) Yang-Mills partition function
reflects the existence of two boundaries of the classical AdS_2 geometry, with
one chiral sector associated to each boundary; moreover the lack of
factorization at finite N is related to the transformation of the vacuum state
of black hole from a pure state at all orders in 1/N to a state which appears
mixed at finite N (due to O(e^{-N}) effects).
| [
{
"created": "Mon, 7 Jun 2004 12:44:49 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2004 21:03:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Vafa",
"Cumrun",
""
]
] | We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent results on the equivalence of the partition function of topological strings and that of four dimensional BPS black holes, which in turn is holographically dual to the field theory on a brane. The partition function of the field theory on the brane reduces, for the ground state sector, to that of 2d Yang-Mills theory. We conjecture that the large N chiral factorization of the 2d U(N) Yang-Mills partition function reflects the existence of two boundaries of the classical AdS_2 geometry, with one chiral sector associated to each boundary; moreover the lack of factorization at finite N is related to the transformation of the vacuum state of black hole from a pure state at all orders in 1/N to a state which appears mixed at finite N (due to O(e^{-N}) effects). |
2308.08136 | Driba Tolla Dr. | Yoonbai Kim, O-Kab Kwon, D. D. Tolla | Spontaneous Supersymmetry Breaking in Inhomogeneous Supersymmetric Field
Theories and BPS Vacua | 25 pages, no figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study spontaneous supersymmetry breaking in inhomogeneous extensions of
${\cal N}=1$ supersymmetric field theory models in 4-dimensions. The ${\cal
N}=1$ Abelian Higgs model with the inhomogeneous mass parameter and the FI
coefficient that are dependent on spatial coordinates, as well as the
O'Raifeartaigh model with all its parameters being dependent on spatial
coordinates, are studied in detail. In the presence of inhomogeneous
parameters, half supersymmetry can be preserved by adding appropriate
inhomogeneous deformations to the original Lagrangians. The inhomogeneous
deformations often break the R-symmetry explicitly. In cases where the
inhomogeneous deformations do not break the R-symmetry explicitly, we
demonstrate that spontaneous breaking of the R-symmetry is infeasible. We argue
that those models can not be spontaneous supersymmetry breaking models,
according to the Nelson-Seiberg argument. We comment on this issue in the
context of a generic ${\cal N}=1$ supersymmetric model as well.
| [
{
"created": "Wed, 16 Aug 2023 03:59:23 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2023 03:00:43 GMT",
"version": "v2"
}
] | 2023-10-10 | [
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
],
[
"Tolla",
"D. D.",
""
]
] | We study spontaneous supersymmetry breaking in inhomogeneous extensions of ${\cal N}=1$ supersymmetric field theory models in 4-dimensions. The ${\cal N}=1$ Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient that are dependent on spatial coordinates, as well as the O'Raifeartaigh model with all its parameters being dependent on spatial coordinates, are studied in detail. In the presence of inhomogeneous parameters, half supersymmetry can be preserved by adding appropriate inhomogeneous deformations to the original Lagrangians. The inhomogeneous deformations often break the R-symmetry explicitly. In cases where the inhomogeneous deformations do not break the R-symmetry explicitly, we demonstrate that spontaneous breaking of the R-symmetry is infeasible. We argue that those models can not be spontaneous supersymmetry breaking models, according to the Nelson-Seiberg argument. We comment on this issue in the context of a generic ${\cal N}=1$ supersymmetric model as well. |
1308.6583 | Konstadinos Siampos | P. Marios Petropoulos, Konstadinos Sfetsos and Konstadinos Siampos | Gravity duals of N = 2 superconformal field theories with no
electrostatic description | 1+32 pages, 3 figures, JHEP style, v2: few minor changes, JHEP
version | null | null | CPHT-RR052.0613, DMUS-MP-13/17 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the first eleven-dimensional supergravity solutions, which are
regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry.
They are dual to four-dimensional field theories with N = 2 superconformal
symmetry. We utilise the Toda frame of self-dual four-dimensional Euclidean
metrics with SU(2) rotational symmetry. They are obtained by transforming the
Atiyah--Hitchin instanton under SL(2,R) and are expressed in terms of theta
functions. The absence of any extra U(1) symmetry, even asymptotically, renders
inapplicable the electrostatic description of our solution.
| [
{
"created": "Thu, 29 Aug 2013 20:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Nov 2013 15:49:09 GMT",
"version": "v2"
}
] | 2013-11-06 | [
[
"Petropoulos",
"P. Marios",
""
],
[
"Sfetsos",
"Konstadinos",
""
],
[
"Siampos",
"Konstadinos",
""
]
] | We construct the first eleven-dimensional supergravity solutions, which are regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry. They are dual to four-dimensional field theories with N = 2 superconformal symmetry. We utilise the Toda frame of self-dual four-dimensional Euclidean metrics with SU(2) rotational symmetry. They are obtained by transforming the Atiyah--Hitchin instanton under SL(2,R) and are expressed in terms of theta functions. The absence of any extra U(1) symmetry, even asymptotically, renders inapplicable the electrostatic description of our solution. |
2307.01858 | Niloofar Vardian | Niloofar Vardian | Black hole interior Petz map reconstruction and Papadodimas-Raju
proposal | 40 pages and 4 figures | JHEP10(2023)024 | 10.1007/JHEP10(2023)024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the reconstruction of the bulk operators in AdS/CFT when the
geometry contains a black hole. The black hole exterior can be mapped to the
CFT via a very simple Petz map which coincides with the HKLL map reconstruction
of the black hole exterior. For the interior modes of the bulk theory, using
the definition of the Petz recovery channel in modular theory, we can find the
mapping from the black hole interior to the dual boundary theory. In the case
of the evaporating black hole, it is expected that the interior modes map to
some operators which have support only on the bath system, the cavity that
absorbs the Hawking radiation. The most important observation that we have here
is that in the case that we have a typical black hole microstate in the bulk,
the CFT dual of the interior modes that we can find using the Petz recovery
channel are exactly the operators which so-called "mirror operator " in the
Papadodimas-Raju proposal. Therefore, we can interpret Papadodimas-Raju
proposal as an example of the Petz map reconstruction. It may help us answer
some open questions about their procedure.
| [
{
"created": "Tue, 4 Jul 2023 18:03:02 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Oct 2023 09:02:26 GMT",
"version": "v2"
}
] | 2023-10-09 | [
[
"Vardian",
"Niloofar",
""
]
] | We study the reconstruction of the bulk operators in AdS/CFT when the geometry contains a black hole. The black hole exterior can be mapped to the CFT via a very simple Petz map which coincides with the HKLL map reconstruction of the black hole exterior. For the interior modes of the bulk theory, using the definition of the Petz recovery channel in modular theory, we can find the mapping from the black hole interior to the dual boundary theory. In the case of the evaporating black hole, it is expected that the interior modes map to some operators which have support only on the bath system, the cavity that absorbs the Hawking radiation. The most important observation that we have here is that in the case that we have a typical black hole microstate in the bulk, the CFT dual of the interior modes that we can find using the Petz recovery channel are exactly the operators which so-called "mirror operator " in the Papadodimas-Raju proposal. Therefore, we can interpret Papadodimas-Raju proposal as an example of the Petz map reconstruction. It may help us answer some open questions about their procedure. |
hep-th/0111082 | Nick Evans | James Babington and Nick Evans (Southampton University) | Field Theory Operator Encoding in N=2 Geometries | 11 pages | JHEP0201:016,2002 | 10.1088/1126-6708/2002/01/016 | SHEP-01-31 | hep-th | null | We investigate supergravity solutions describing D5 branes wrapped on a two
cycle which are dual to N=2 super Yang Mills theory. Brane probing these
solutions allows the moduli space of the field theory to be identified. There
are a unique set of coordinates in which the field theory on the probe takes an
N=2 form and in these coordinates the running coupling of the gauge theory may
be identified. We show that the geometry, when restricted to the moduli space,
takes a very simple form involving only two functions. One is the running gauge
coupling whilst the other parametrizes the scalar operators of the field
theory. The D5 brane distributions, for the full set of solutions in the
literature,can be determined by assuming the field theory's form for the
running coupling as a function of scalar vevs. We show that the resulting
distributions also correctly reproduce the scalar operators parametrized
elsewhere providing the first non-trivial consistency check on the duality.
| [
{
"created": "Fri, 9 Nov 2001 09:47:17 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Babington",
"James",
"",
"Southampton University"
],
[
"Evans",
"Nick",
"",
"Southampton University"
]
] | We investigate supergravity solutions describing D5 branes wrapped on a two cycle which are dual to N=2 super Yang Mills theory. Brane probing these solutions allows the moduli space of the field theory to be identified. There are a unique set of coordinates in which the field theory on the probe takes an N=2 form and in these coordinates the running coupling of the gauge theory may be identified. We show that the geometry, when restricted to the moduli space, takes a very simple form involving only two functions. One is the running gauge coupling whilst the other parametrizes the scalar operators of the field theory. The D5 brane distributions, for the full set of solutions in the literature,can be determined by assuming the field theory's form for the running coupling as a function of scalar vevs. We show that the resulting distributions also correctly reproduce the scalar operators parametrized elsewhere providing the first non-trivial consistency check on the duality. |
hep-th/0601085 | Troost Jan | Charles Jego, Jan Troost | Notes on the Verlinde formula in non-rational conformal field theories | 29 pages, 6 figures, v2: minor corrections, PRD version | Phys.Rev.D74:106002,2006 | 10.1103/PhysRevD.74.106002 | LPTENS-06/01 | hep-th | null | We review and extend evidence for the validity of a generalized Verlinde
formula in particular non-rational conformal field theories. We identify a
subset of representations of the chiral algebra in non-rational conformal field
theories that give rise to an analogue of the relation between modular
S-matrices and fusion coefficients in rational conformal field theories. To
that end we review and extend the Cardy-type brane calculations in bosonic and
supersymmetric Liouville theory (and its duals) as well as in the hyperbolic
three-plane H3+. We analyze the three-point functions of Liouville theory and
of H3+ in detail to directly identify the fusion coefficients from the operator
product expansion.
| [
{
"created": "Fri, 13 Jan 2006 14:31:10 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2006 14:44:07 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jego",
"Charles",
""
],
[
"Troost",
"Jan",
""
]
] | We review and extend evidence for the validity of a generalized Verlinde formula in particular non-rational conformal field theories. We identify a subset of representations of the chiral algebra in non-rational conformal field theories that give rise to an analogue of the relation between modular S-matrices and fusion coefficients in rational conformal field theories. To that end we review and extend the Cardy-type brane calculations in bosonic and supersymmetric Liouville theory (and its duals) as well as in the hyperbolic three-plane H3+. We analyze the three-point functions of Liouville theory and of H3+ in detail to directly identify the fusion coefficients from the operator product expansion. |
hep-th/9202005 | David Gershon | David Gershon | Exact Solutions of Four Dimensional Black Holes in String Theory | 19 pages | Phys.Rev. D51 (1995) 4387-4393 | 10.1103/PhysRevD.51.4387 | null | hep-th | null | We construct an exact CFT as an SL(2,R)xSU(2)/U(1)^2 gauged WZW model, which
describes a black hole in 4 dimensions. Another exact solution, describing a
black membrane in 4D (in the sense that the event horizon is an infinite plane)
is found as an SL(2,R)xU(1)^2/U(1) gauged WZW model. Finally, we construct an
exact solution of a 4D black hole with electromagnetic field, as an
SL(2,R)xSU(2)xU(1)/U(1)^2 gauged WZW model. This black hole carries both
electric and axionic charges.
| [
{
"created": "Mon, 3 Feb 1992 10:30:16 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gershon",
"David",
""
]
] | We construct an exact CFT as an SL(2,R)xSU(2)/U(1)^2 gauged WZW model, which describes a black hole in 4 dimensions. Another exact solution, describing a black membrane in 4D (in the sense that the event horizon is an infinite plane) is found as an SL(2,R)xU(1)^2/U(1) gauged WZW model. Finally, we construct an exact solution of a 4D black hole with electromagnetic field, as an SL(2,R)xSU(2)xU(1)/U(1)^2 gauged WZW model. This black hole carries both electric and axionic charges. |
hep-th/9207093 | Ted Allen | Theodore J. Allen | Collective Coordinate Action for Charged Sigma-Model Vortices in Finite
Geometries | 7 pp., Plain TeX (macros included), MAD/TH-92-03 | Mod.Phys.Lett. A8 (1993) 1815-1820 | 10.1142/S0217732393001537 | null | hep-th | null | In this Letter the method of Lund is applied to formulate a variational
principle for the motion of charged vortices in an effective non-linear
Schr\"{o}dinger field theory describing finite size two-dimensional quantum
Hall samples under the influence of an arbitrary perpendicular magnetic field.
Freezing out variations in the modulus of the effective field yields a $U(1)$
sigma-model. A duality transformation on the sigma-model reduces the problem to
finding the Green function for a related electrostatics problem. This duality
illuminates the plasma analogy to the Laughlin wave function.
| [
{
"created": "Tue, 28 Jul 1992 18:55:00 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 1992 19:36:00 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Allen",
"Theodore J.",
""
]
] | In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schr\"{o}dinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variations in the modulus of the effective field yields a $U(1)$ sigma-model. A duality transformation on the sigma-model reduces the problem to finding the Green function for a related electrostatics problem. This duality illuminates the plasma analogy to the Laughlin wave function. |
hep-th/0404021 | Michael Chesterman | Michael Chesterman | On the cohomology and inner products of the Berkovits superparticle and
superstring | 14 pages, REVTEX4. Published version. Some minor clarifications,
including proof of isomorphisms of string cohomology appended to sec III | Nucl.Phys. B703 (2004) 400-410 | 10.1016/j.nuclphysb.2004.10.031 | null | hep-th | null | We describe the complete cohomology of the Berkovits BRST operator for the
superparticle. It is non-zero at eight ghost numbers, splitting into two
quartets, the members of each quartet being completely isomorphic. Based only
on considerations of the isomorphisms of the cohomology, and using only the
standard inner product, we derive the inner product appropriate for string
amplitudes. It is in agreement with Berkovits' conjectured prescription, which
is one element of an equivalence class. We discuss the Chern-Simons style
action for D=10 super Yang-Mills, which is now manifestly superspace covariant.
| [
{
"created": "Fri, 2 Apr 2004 20:55:41 GMT",
"version": "v1"
},
{
"created": "Sat, 1 May 2004 17:19:47 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Nov 2004 14:12:50 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Chesterman",
"Michael",
""
]
] | We describe the complete cohomology of the Berkovits BRST operator for the superparticle. It is non-zero at eight ghost numbers, splitting into two quartets, the members of each quartet being completely isomorphic. Based only on considerations of the isomorphisms of the cohomology, and using only the standard inner product, we derive the inner product appropriate for string amplitudes. It is in agreement with Berkovits' conjectured prescription, which is one element of an equivalence class. We discuss the Chern-Simons style action for D=10 super Yang-Mills, which is now manifestly superspace covariant. |
1708.02958 | Juan Pedraza | Ricardo Esp\'indola, Alberto Guijosa, Alberto Landetta and Juan F.
Pedraza | What's the Point? Hole-ography in Poincare AdS | 37+3 pages, multiple figures. v2: typos corrected, matches published
version | Eur.Phys.J. C78 (2018) no.1, 75 | 10.1140/epjc/s10052-018-5563-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of the AdS/CFT correspondence, we study bulk reconstruction of
the Poincare wedge of AdS$_3$ via hole-ography, i.e., in terms of differential
entropy of the dual CFT$_2$. Previous work had considered the reconstruction of
closed or open spacelike curves in global AdS, and of infinitely extended
spacelike curves in Poincare AdS that are subject to a periodicity condition at
infinity. Working first at constant time, we find that a closed curve in
Poincare is described in the CFT by a family of intervals that covers the
spatial axis at least twice. We also show how to reconstruct open curves,
points and distances, and obtain a CFT action whose extremization leads to bulk
points. We then generalize all of these results to the case of curves that vary
in time, and discover that generic curves have segments that cannot be
reconstructed using the standard hole-ographic construction. This happens
because, for the nonreconstructible segments, the tangent geodesics fail to be
fully contained within the Poincare wedge. We show that a previously discovered
variant of the hole-ographic method allows us to overcome this challenge, by
reorienting the geodesics touching the bulk curve to ensure that they all
remain within the wedge. Our conclusion is that all spacelike curves in
Poincare AdS can be completely reconstructed with CFT data, and each curve has
in fact an infinite number of representations within the CFT.
| [
{
"created": "Wed, 9 Aug 2017 18:03:50 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Feb 2018 14:09:28 GMT",
"version": "v2"
}
] | 2018-02-09 | [
[
"Espíndola",
"Ricardo",
""
],
[
"Guijosa",
"Alberto",
""
],
[
"Landetta",
"Alberto",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | In the context of the AdS/CFT correspondence, we study bulk reconstruction of the Poincare wedge of AdS$_3$ via hole-ography, i.e., in terms of differential entropy of the dual CFT$_2$. Previous work had considered the reconstruction of closed or open spacelike curves in global AdS, and of infinitely extended spacelike curves in Poincare AdS that are subject to a periodicity condition at infinity. Working first at constant time, we find that a closed curve in Poincare is described in the CFT by a family of intervals that covers the spatial axis at least twice. We also show how to reconstruct open curves, points and distances, and obtain a CFT action whose extremization leads to bulk points. We then generalize all of these results to the case of curves that vary in time, and discover that generic curves have segments that cannot be reconstructed using the standard hole-ographic construction. This happens because, for the nonreconstructible segments, the tangent geodesics fail to be fully contained within the Poincare wedge. We show that a previously discovered variant of the hole-ographic method allows us to overcome this challenge, by reorienting the geodesics touching the bulk curve to ensure that they all remain within the wedge. Our conclusion is that all spacelike curves in Poincare AdS can be completely reconstructed with CFT data, and each curve has in fact an infinite number of representations within the CFT. |
1008.1540 | Itzhak Bars | Itzhak Bars | Constraints on Interacting Scalars in 2T Field Theory and No Scale
Models in 1T Field Theory | 22 pages. Footnote 14 added in v2 | Phys.Rev.D82:125025,2010 | 10.1103/PhysRevD.82.125025 | USC-10/HEP-B3, CERN-PH-TH/2010-171 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper I determine the general form of the physical and mathematical
restrictions that arise on the interactions of gravity and scalar fields in the
2T field theory setting, in d+2 dimensions, as well as in the emerging shadows
in d dimensions. These constraints on scalar fields follow from an underlying
Sp(2,R) gauge symmetry in phase space. Determining these general constraints
provides a basis for the construction of 2T supergravity, as well as physical
applications in 1T-field theory, that are discussed briefly here, and more
detail elsewhere. In particular, no scale models that lead to a vanishing
cosmological constant at the classical level emerge naturally in this setting.
| [
{
"created": "Mon, 9 Aug 2010 16:29:01 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Aug 2010 11:42:40 GMT",
"version": "v2"
}
] | 2011-01-17 | [
[
"Bars",
"Itzhak",
""
]
] | In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d+2 dimensions, as well as in the emerging shadows in d dimensions. These constraints on scalar fields follow from an underlying Sp(2,R) gauge symmetry in phase space. Determining these general constraints provides a basis for the construction of 2T supergravity, as well as physical applications in 1T-field theory, that are discussed briefly here, and more detail elsewhere. In particular, no scale models that lead to a vanishing cosmological constant at the classical level emerge naturally in this setting. |
2306.16488 | Carlo Heissenberg | Paolo Di Vecchia, Carlo Heissenberg, Rodolfo Russo, Gabriele Veneziano | The gravitational eikonal: from particle, string and brane collisions to
black-hole encounters | 215 pages, 19 figures. v2: published version | null | null | CERN-TH-2023-108, NORDITA 2023-026, QMUL-PH-23-09, UUITP-14/23 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by conceptual problems in quantum theories of gravity, the
gravitational eikonal approach, inspired by its electromagnetic predecessor,
has been successfully applied to the transplanckian energy collisions of
elementary particles and strings since the late eighties, and to string-brane
collisions in the past decade. After the direct detection of gravitational
waves from black-hole mergers, most of the attention has shifted towards
adapting these methods to the physics of black-hole encounters. For such
systems, the eikonal exponentiation provides an amplitude-based approach to
calculate classical gravitational observables, thus complementing more
traditional analytic methods such as the Post-Newtonian expansion, the
worldline formalism, or the Effective-One-Body approach. In this review we
summarize the main ideas and techniques behind the gravitational eikonal
formalism. We discuss how it can be applied in various different physical
setups involving particles, strings and branes and then we mainly concentrate
on the most recent developments, focusing on massive scalars minimally coupled
to gravity, for which we aim at being as self-contained and comprehensive as
possible.
| [
{
"created": "Wed, 28 Jun 2023 18:22:02 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2024 16:47:55 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Heissenberg",
"Carlo",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Veneziano",
"Gabriele",
""
]
] | Motivated by conceptual problems in quantum theories of gravity, the gravitational eikonal approach, inspired by its electromagnetic predecessor, has been successfully applied to the transplanckian energy collisions of elementary particles and strings since the late eighties, and to string-brane collisions in the past decade. After the direct detection of gravitational waves from black-hole mergers, most of the attention has shifted towards adapting these methods to the physics of black-hole encounters. For such systems, the eikonal exponentiation provides an amplitude-based approach to calculate classical gravitational observables, thus complementing more traditional analytic methods such as the Post-Newtonian expansion, the worldline formalism, or the Effective-One-Body approach. In this review we summarize the main ideas and techniques behind the gravitational eikonal formalism. We discuss how it can be applied in various different physical setups involving particles, strings and branes and then we mainly concentrate on the most recent developments, focusing on massive scalars minimally coupled to gravity, for which we aim at being as self-contained and comprehensive as possible. |
hep-th/9906167 | Damiano Anselmi | D. Anselmi | Higher-spin current multiplets in operator-product expansions | 19 pages. Introductory paragraph, misprint corrected and updated
references. CQG in press | Class.Quant.Grav. 17 (2000) 1383-1400 | 10.1088/0264-9381/17/6/305 | CERN-TH/99-183 | hep-th | null | Various formulas for currents with arbitrary spin are worked out in general
space-time dimension, in the free field limit and, at the bare level, in
presence of interactions. As the n-dimensional generalization of the
(conformal) vector field, the (n/2-1)-form is used. The two-point functions and
the higher-spin central charges are evaluated at one loop. As an application,
the higher-spin hierarchies generated by the stress-tensor operator-product
expansion are computed in supersymmetric theories. The results exhibit an
interesting universality.
| [
{
"created": "Mon, 21 Jun 1999 20:17:46 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2000 16:42:56 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Anselmi",
"D.",
""
]
] | Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2-1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hierarchies generated by the stress-tensor operator-product expansion are computed in supersymmetric theories. The results exhibit an interesting universality. |
2206.06524 | Hai Lin | Hai Lin | Coherent state excitations and string-added coherent states in
gauge-gravity correspondence | 31 pages | Nuclear Physics B 986, 2022, 116066 | 10.1016/j.nuclphysb.2022.116066 | null | hep-th gr-qc hep-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | We analyze detailed properties of BPS coherent states and their connection to
gravity. We interpret the group integral coherent state as a path integral over
auxiliary variables coupled to the elementary letters of the theory. The
eigenvalues of coherent state amplitudes can be viewed as collective
coordinates of giant gravitons. Inspired by the above coherent states and by
the integrability, we construct a new type of coherent states in the SL(2)
sectors and their cousin PSU(1,1|2) sectors, analogous to the aforementioned
coherent states. The large spin and small spin limits can be obtained by
varying coherent state amplitudes. We add string words onto the BPS coherent
states, and this gives rise to string-added coherent states. The insertions of
string multi-words can be viewed as operator-insertions in this path integral.
We describe BPS states and near BPS states building upon these coherent states
in gauge-gravity correspondence. For example, string-added coherent states and
their near BPS spectra are analyzed. This approach is particularly convenient
for heavy excited states.
| [
{
"created": "Mon, 13 Jun 2022 23:59:18 GMT",
"version": "v1"
}
] | 2023-02-10 | [
[
"Lin",
"Hai",
""
]
] | We analyze detailed properties of BPS coherent states and their connection to gravity. We interpret the group integral coherent state as a path integral over auxiliary variables coupled to the elementary letters of the theory. The eigenvalues of coherent state amplitudes can be viewed as collective coordinates of giant gravitons. Inspired by the above coherent states and by the integrability, we construct a new type of coherent states in the SL(2) sectors and their cousin PSU(1,1|2) sectors, analogous to the aforementioned coherent states. The large spin and small spin limits can be obtained by varying coherent state amplitudes. We add string words onto the BPS coherent states, and this gives rise to string-added coherent states. The insertions of string multi-words can be viewed as operator-insertions in this path integral. We describe BPS states and near BPS states building upon these coherent states in gauge-gravity correspondence. For example, string-added coherent states and their near BPS spectra are analyzed. This approach is particularly convenient for heavy excited states. |
1809.05078 | Yakov Landau | Yakov Landau | The Free Fermion Anomaly and Representations of the Pin Groups | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a duality between a boson on a ring and a free fermion and show
that they have an anomaly which corresponds to the states transforming under
double covers of O(2). There are two (in general not isometric) double covers
of O(2), known as Pin$_+(2)$ and Pin$_-(2)$. These can in general be
distinguished at the group level by checking whether reflections square to $\pm
1$. We show that in irreducible representations in complex Hilbert spaces the
commutation of time reversal and charge conjugation gives another method for
distinguishing Pin$_+(2)$ and Pin$_-(2)$. While we only demonstrate the duality
for a single fermion, the anomaly is also present in any number of free
fermions. For an even number of fermions we show that the two double covers of
O(2n) are isomorphic. For an odd number of fermions we show that the
distinction between irreducible representations of Pin$_+$ and Pin$_-$ can
still be detected by the commutation of time reversal and charge conjugation
namely Pin$_\pm(2n)$ will have $TCT = \pm C$.
| [
{
"created": "Thu, 13 Sep 2018 17:38:28 GMT",
"version": "v1"
}
] | 2018-09-14 | [
[
"Landau",
"Yakov",
""
]
] | We consider a duality between a boson on a ring and a free fermion and show that they have an anomaly which corresponds to the states transforming under double covers of O(2). There are two (in general not isometric) double covers of O(2), known as Pin$_+(2)$ and Pin$_-(2)$. These can in general be distinguished at the group level by checking whether reflections square to $\pm 1$. We show that in irreducible representations in complex Hilbert spaces the commutation of time reversal and charge conjugation gives another method for distinguishing Pin$_+(2)$ and Pin$_-(2)$. While we only demonstrate the duality for a single fermion, the anomaly is also present in any number of free fermions. For an even number of fermions we show that the two double covers of O(2n) are isomorphic. For an odd number of fermions we show that the distinction between irreducible representations of Pin$_+$ and Pin$_-$ can still be detected by the commutation of time reversal and charge conjugation namely Pin$_\pm(2n)$ will have $TCT = \pm C$. |
1806.04412 | Rafael Augusto Couceiro Correa | R. A. C. Correa, W. de Paula, T. Frederico, O. Oliveira, and F. E. M.
Silveira | Oscillons in $\phi^6$-theories: Possible occurrence in MHD | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we report on the possibility of occurrence of oscillon
configurations in the fourth state of matter. Oscillons are extremely
long-lived, time-periodic, spatially-localised scalar field structures.
Starting from a scalar field theory in 1+1 space-time dimensions, we find out
that small-amplitude oscillons can be obtained in the framework of a $\phi^6$
self-interacting potential. A connection between our results and ideal MHD
theory is established. Perspectives for a development of the present work are
pointed out.
| [
{
"created": "Tue, 12 Jun 2018 09:33:24 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Aug 2018 08:15:02 GMT",
"version": "v2"
}
] | 2018-08-21 | [
[
"Correa",
"R. A. C.",
""
],
[
"de Paula",
"W.",
""
],
[
"Frederico",
"T.",
""
],
[
"Oliveira",
"O.",
""
],
[
"Silveira",
"F. E. M.",
""
]
] | In this work, we report on the possibility of occurrence of oscillon configurations in the fourth state of matter. Oscillons are extremely long-lived, time-periodic, spatially-localised scalar field structures. Starting from a scalar field theory in 1+1 space-time dimensions, we find out that small-amplitude oscillons can be obtained in the framework of a $\phi^6$ self-interacting potential. A connection between our results and ideal MHD theory is established. Perspectives for a development of the present work are pointed out. |
1906.02985 | Prashanth Raman | Prashanth Raman | The positive geometry for $\phi^{p}$ interactions | 37 pages | null | 10.1007/JHEP10(2019)271 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with the seminal work of Arkani-Hamed et al arXiv:1711.09102, in
arXiv:1811.05904, the "Amplituhedron program" was extended to analyzing
(planar) amplitudes in massless $\phi^{4}$ theory. In this paper we show that
the program can be further extended to include $\phi^{p}$ ($p>4$) interactions.
We show that tree-level planar amplitudes in these theories can be obtained
from geometry of polytopes called accordiohedron which naturally sits inside
kinematic space. As in the case of quartic interactions the accordiohedron of a
given dimension is not unique, and we show that a weighted sum of residues of
the canonical form on these polytopes can be used to compute scattering
amplitudes. We finally provide a prescription to compute the weights and
demonstrate how it works in various examples.
| [
{
"created": "Fri, 7 Jun 2019 09:42:27 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Raman",
"Prashanth",
""
]
] | Starting with the seminal work of Arkani-Hamed et al arXiv:1711.09102, in arXiv:1811.05904, the "Amplituhedron program" was extended to analyzing (planar) amplitudes in massless $\phi^{4}$ theory. In this paper we show that the program can be further extended to include $\phi^{p}$ ($p>4$) interactions. We show that tree-level planar amplitudes in these theories can be obtained from geometry of polytopes called accordiohedron which naturally sits inside kinematic space. As in the case of quartic interactions the accordiohedron of a given dimension is not unique, and we show that a weighted sum of residues of the canonical form on these polytopes can be used to compute scattering amplitudes. We finally provide a prescription to compute the weights and demonstrate how it works in various examples. |
hep-th/0306076 | Marco Scandurra | Marco Scandurra (MIT, LNS) | QFT Limit of the Casimir Force | 5 pages, 1 figure; v2: few misprints corrected, acknowledgment added | null | null | MIT-CTP 3397 | hep-th | null | High precision measurements of the Casimir effect and recent applications to
micro electromechanical systems raise the question of how large the Casimir
force can be made in an arbitrarily small device. Using a simple model for the
metal boundary in which the metal is perfectly conducting at frequencies below
plasma frequency omega_p and perfectly transparent above such frequency, I find
that the Casimir force for plate separations a<lambda_p/2, where lambda_p is
the plasma wavelength is given by -(h omega_p^4)/(24 pi^2 c^3) which is
independent of a. This result is considered the maximum value of the Casimir
force for non-ideal metallic boundaries as calculated by quantum field theory.
It differs from predictions of non retarded Van der Waals theory. Implications
of this result for geometries different from the planar one and in particular
for the hollow metallic sphere are discussed.
| [
{
"created": "Mon, 9 Jun 2003 23:42:24 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2003 16:08:08 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Scandurra",
"Marco",
"",
"MIT, LNS"
]
] | High precision measurements of the Casimir effect and recent applications to micro electromechanical systems raise the question of how large the Casimir force can be made in an arbitrarily small device. Using a simple model for the metal boundary in which the metal is perfectly conducting at frequencies below plasma frequency omega_p and perfectly transparent above such frequency, I find that the Casimir force for plate separations a<lambda_p/2, where lambda_p is the plasma wavelength is given by -(h omega_p^4)/(24 pi^2 c^3) which is independent of a. This result is considered the maximum value of the Casimir force for non-ideal metallic boundaries as calculated by quantum field theory. It differs from predictions of non retarded Van der Waals theory. Implications of this result for geometries different from the planar one and in particular for the hollow metallic sphere are discussed. |
1405.0270 | Andrei Linde | Renata Kallosh, Andrei Linde, and Alexander Westphal | Chaotic Inflation in Supergravity after Planck and BICEP2 | 13 pages, 6 figures, minor references changes | Phys. Rev. D 90, 023534 (2014) | 10.1103/PhysRevD.90.023534 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the general structure and observational consequences of some of
the simplest versions of chaotic inflation in supergravity in relation to the
data by Planck 2013 and BICEP2. We show that minimal modifications to the
simplest quadratic potential are sufficient to provide a controllable tensor
mode signal and a suppression of CMB power at large angular scales.
| [
{
"created": "Thu, 1 May 2014 19:54:45 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 19:51:13 GMT",
"version": "v2"
}
] | 2014-08-06 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Westphal",
"Alexander",
""
]
] | We discuss the general structure and observational consequences of some of the simplest versions of chaotic inflation in supergravity in relation to the data by Planck 2013 and BICEP2. We show that minimal modifications to the simplest quadratic potential are sufficient to provide a controllable tensor mode signal and a suppression of CMB power at large angular scales. |
2001.08467 | Subir Ghosh | Avijit Bera, Subir Ghosh | Stimulated Hawking Emission From Electromagnetic Analogue Black Hole:
Theory and Observation | Title and abstract changed, versin accepted in PRD | Phys. Rev. D 101, 105012 (2020) | 10.1103/PhysRevD.101.105012 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider possible analogue Hawking radiation from a normal
dielectric and metamaterial composite, having an analogue horizon where the
dielectric parameters vanish and change sign upon crossing this transition
zone. We follow a complex path analysis to show the presence of an analogue
Hawking temperature at the horizon and subsequent photon production from the
ambient electromagnetic field. Possibility of experimental observation is also
commented upon.
| [
{
"created": "Thu, 23 Jan 2020 12:18:53 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2020 14:58:18 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Bera",
"Avijit",
""
],
[
"Ghosh",
"Subir",
""
]
] | In this paper we consider possible analogue Hawking radiation from a normal dielectric and metamaterial composite, having an analogue horizon where the dielectric parameters vanish and change sign upon crossing this transition zone. We follow a complex path analysis to show the presence of an analogue Hawking temperature at the horizon and subsequent photon production from the ambient electromagnetic field. Possibility of experimental observation is also commented upon. |
1211.1396 | Andrew Tolley | Emanuela Dimastrogiovanni, Matteo Fasiello and Andrew J. Tolley | Low-Energy Effective Field Theory for Chromo-Natural Inflation | 26 pages, references added, improved discussion of stability | null | 10.1088/1475-7516/2013/02/046 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chromo-natural inflation is a novel model of inflation which relies on the
existence of non-abelian gauge fields interacting with an axion. In its
simplest realization, an SU(2) gauge field is assumed to begin inflation in a
rotationally invariant VEV. The dynamics of the gauge fields significantly
modifies the equations of motion for the axion, providing an additional damping
term that supports slow-roll inflation, without the need to fine tune the axion
decay constant. We demonstrate that in an appropriate slow-roll limit it is
possible to integrate out the massive gauge field fluctuations whilst still
maintaining the nontrivial modifications of the gauge field to the axion. In
this slow-roll limit, chromo-natural inflation is exactly equivalent to a
single scalar field effective theory with a non-minimal kinetic term, i.e. a
P(X,\chi) model. This occurs through a precise analogue of the gelaton
mechanism, whereby heavy fields can have unsuppressed effects on the light
field dynamics without contradicting decoupling. The additional damping effect
of the gauge fields can be completely captured by the non-minimal kinetic term
of the single scalar field effective theory. We utilize the single scalar field
effective theory to infer the power spectrum and non-gaussianities in
chromo-natural inflation and confirm that the mass squared of all the gauge
field fluctuations is sufficiently large and positive that they completely
decouple during inflation. These results confirm that chromo-natural inflation
is a viable, stable and compelling model for the generation of inflationary
perturbations.
| [
{
"created": "Tue, 6 Nov 2012 21:01:31 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2012 01:37:12 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Dimastrogiovanni",
"Emanuela",
""
],
[
"Fasiello",
"Matteo",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | Chromo-natural inflation is a novel model of inflation which relies on the existence of non-abelian gauge fields interacting with an axion. In its simplest realization, an SU(2) gauge field is assumed to begin inflation in a rotationally invariant VEV. The dynamics of the gauge fields significantly modifies the equations of motion for the axion, providing an additional damping term that supports slow-roll inflation, without the need to fine tune the axion decay constant. We demonstrate that in an appropriate slow-roll limit it is possible to integrate out the massive gauge field fluctuations whilst still maintaining the nontrivial modifications of the gauge field to the axion. In this slow-roll limit, chromo-natural inflation is exactly equivalent to a single scalar field effective theory with a non-minimal kinetic term, i.e. a P(X,\chi) model. This occurs through a precise analogue of the gelaton mechanism, whereby heavy fields can have unsuppressed effects on the light field dynamics without contradicting decoupling. The additional damping effect of the gauge fields can be completely captured by the non-minimal kinetic term of the single scalar field effective theory. We utilize the single scalar field effective theory to infer the power spectrum and non-gaussianities in chromo-natural inflation and confirm that the mass squared of all the gauge field fluctuations is sufficiently large and positive that they completely decouple during inflation. These results confirm that chromo-natural inflation is a viable, stable and compelling model for the generation of inflationary perturbations. |
hep-th/9509066 | Ken Intriligator | K. Intriligator and N. Seiberg | Lectures on supersymmetric gauge theories and electric-magnetic duality | 44 pages, uses harvmac | Nucl.Phys.Proc.Suppl.45BC:1-28,1996 | 10.1016/0920-5632(95)00626-5 | RU-95-48, IASSNS-HEP-95/70 | hep-th hep-ph | null | We review some of the recent work on the dynamics of four dimensional,
supersymmetric gauge theories. The kinematics are largely determined by
holomorphy and the dynamics are governed by duality. The results shed light on
the phases of gauge theories. Some results and interpretations which have not
been published before are also included.
| [
{
"created": "Tue, 12 Sep 1995 22:37:32 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Intriligator",
"K.",
""
],
[
"Seiberg",
"N.",
""
]
] | We review some of the recent work on the dynamics of four dimensional, supersymmetric gauge theories. The kinematics are largely determined by holomorphy and the dynamics are governed by duality. The results shed light on the phases of gauge theories. Some results and interpretations which have not been published before are also included. |
1401.5340 | Ben Freivogel | Ben Freivogel | Energy and Information Near Black Hole Horizons | 25 pages, 3 figures. v2: minor clarifications, references added;
published version | JCAP07(2014)041 | 10.1088/1475-7516/2014/07/041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The central challenge in trying to resolve the firewall paradox is to
identify excitations in the near-horizon zone of a black hole that can carry
information without injuring a freely falling observer. By analyzing the
problem from the point of view of a freely falling observer, I arrive at a
simple proposal for the degrees of freedom that carry information out of the
black hole. An infalling observer experiences the information-carrying modes as
ingoing, negative energy excitations of the quantum fields. In these states,
freely falling observers who fall in from infinity do not encounter a firewall,
but freely falling observers who begin their free fall from a location close to
the horizon are "frozen" by a flux of negative energy. When the black hole is
"mined," the number of information-carrying modes increases, increasing the
negative energy flux in the infalling frame without violating the equivalence
principle. Finally, I point out a loophole in recent arguments that an
infalling observer must detect a violation of unitarity, effective field
theory, or free infall.
| [
{
"created": "Tue, 21 Jan 2014 15:19:42 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 15:26:38 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Freivogel",
"Ben",
""
]
] | The central challenge in trying to resolve the firewall paradox is to identify excitations in the near-horizon zone of a black hole that can carry information without injuring a freely falling observer. By analyzing the problem from the point of view of a freely falling observer, I arrive at a simple proposal for the degrees of freedom that carry information out of the black hole. An infalling observer experiences the information-carrying modes as ingoing, negative energy excitations of the quantum fields. In these states, freely falling observers who fall in from infinity do not encounter a firewall, but freely falling observers who begin their free fall from a location close to the horizon are "frozen" by a flux of negative energy. When the black hole is "mined," the number of information-carrying modes increases, increasing the negative energy flux in the infalling frame without violating the equivalence principle. Finally, I point out a loophole in recent arguments that an infalling observer must detect a violation of unitarity, effective field theory, or free infall. |
2004.08020 | Chanyong Park | Chanyong Park | Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies | 25 pages | Phys. Rev. D 101, 126006 (2020) | 10.1103/PhysRevD.101.126006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To understand the time-dependent quantum correlation in expanding universes,
we study the time-dependent entanglement entropy in the braneworld model. If we
take into account a generalized string cloud geometry caused by uniformly
distributed open strings, cosmologies on the braneworld result in the standard
Friedmann-Lema\^{i}tre-Robertson-Walker cosmologies with various matter
contents. On the dual field theory side, open strings are reinterpreted as a
fundamental matter, while the black hole mass corresponds to the excitation
energy of massless gauge bosons. In this work, we show how the string cloud
geometry is matched to various braneworld cosmologie,s for example, eternal
inflation, radiation-, and matter-dominated universes. Then, we investigate how
the entanglement entropy evolves in those expanding universes.
| [
{
"created": "Fri, 17 Apr 2020 01:38:01 GMT",
"version": "v1"
}
] | 2020-07-01 | [
[
"Park",
"Chanyong",
""
]
] | To understand the time-dependent quantum correlation in expanding universes, we study the time-dependent entanglement entropy in the braneworld model. If we take into account a generalized string cloud geometry caused by uniformly distributed open strings, cosmologies on the braneworld result in the standard Friedmann-Lema\^{i}tre-Robertson-Walker cosmologies with various matter contents. On the dual field theory side, open strings are reinterpreted as a fundamental matter, while the black hole mass corresponds to the excitation energy of massless gauge bosons. In this work, we show how the string cloud geometry is matched to various braneworld cosmologie,s for example, eternal inflation, radiation-, and matter-dominated universes. Then, we investigate how the entanglement entropy evolves in those expanding universes. |
2210.06513 | Aristomenis Donos | Aristomenis Donos and Polydoros Kailidis | Nearly Critical Holographic Superfluids | 39 pages, 4 figures, Typos fixed, Version to appear at JHEP | null | 10.1007/JHEP12(2022)028 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the nearly critical behaviour of holographic superfluids at finite
temperature and chemical potential in their probe limit. This allows us to
examine the coupled dynamics of the full complex order parameter with the
charge density of the system. We derive an effective theory for the long
wavelength limit of the gapless and pseudo-gapped modes by using analytic
techniques in the bulk. We match our construction with Model F in the
classification of Hohenberg and Halperin and compute the complex dissipative
kinetic transport coefficient in terms of thermodynamics and black hole horizon
data. We carry out an analysis of the corresponding modes and argue that at
finite density the dispersion relations are discontinuous between the normal
and the broken phase. We compare and contrast our results with earlier
numerical work.
| [
{
"created": "Wed, 12 Oct 2022 18:12:12 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2022 18:07:09 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Dec 2022 15:10:31 GMT",
"version": "v3"
}
] | 2022-12-21 | [
[
"Donos",
"Aristomenis",
""
],
[
"Kailidis",
"Polydoros",
""
]
] | We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for the long wavelength limit of the gapless and pseudo-gapped modes by using analytic techniques in the bulk. We match our construction with Model F in the classification of Hohenberg and Halperin and compute the complex dissipative kinetic transport coefficient in terms of thermodynamics and black hole horizon data. We carry out an analysis of the corresponding modes and argue that at finite density the dispersion relations are discontinuous between the normal and the broken phase. We compare and contrast our results with earlier numerical work. |
hep-th/0011204 | Elena Caceres | Elena Caceres, Rafael Hernandez | Glueball Masses for the Deformed Conifold Theory | 15 pages. Latex file | Phys.Lett. B504 (2001) 64-70 | 10.1016/S0370-2693(01)00278-7 | null | hep-th | null | We obtain the spectrum of glueball masses for the N=1 non-conformal cascade
theory whose supergravity dual was recently constructed by Klebanov and
Strassler. The glueball masses are calculated by solving the supergravity
equations of motion for the dilaton and the two-form in the deformed conifold
background.
| [
{
"created": "Wed, 22 Nov 2000 18:17:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Caceres",
"Elena",
""
],
[
"Hernandez",
"Rafael",
""
]
] | We obtain the spectrum of glueball masses for the N=1 non-conformal cascade theory whose supergravity dual was recently constructed by Klebanov and Strassler. The glueball masses are calculated by solving the supergravity equations of motion for the dilaton and the two-form in the deformed conifold background. |
hep-th/9403140 | Naruhiko Aizawa Rcnp | N. Aizawa | Isomorphisms between Quantum Group Covariant q-Oscillator Systems
Defined for q and 1/q | LaTeX 13pages, RCNP-070 | J.Phys. A28 (1995) 4553-4564 | 10.1088/0305-4470/28/16/013 | null | hep-th | null | It is shown that there exists an isomorphism between q-oscillator systems
covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the
defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are
transmuted into those of $ SU_q(n) $. It is also shown that the similar
isomorphism exists for the system of q-oscillators covariant under the quantum
supergroup $ SU_q(n/m) $. Furthermore the cases of q-deformed Lie
(super)algebras constructed from covariant q-oscillator systems are considered.
The isomorphisms between q-deformed Lie (super)algebras can not obtained by the
direct generalization of the one for covariant q-oscillator systems.
| [
{
"created": "Wed, 23 Mar 1994 11:29:22 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Aizawa",
"N.",
""
]
] | It is shown that there exists an isomorphism between q-oscillator systems covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are transmuted into those of $ SU_q(n) $. It is also shown that the similar isomorphism exists for the system of q-oscillators covariant under the quantum supergroup $ SU_q(n/m) $. Furthermore the cases of q-deformed Lie (super)algebras constructed from covariant q-oscillator systems are considered. The isomorphisms between q-deformed Lie (super)algebras can not obtained by the direct generalization of the one for covariant q-oscillator systems. |
2306.10845 | Ryutaro Matsudo | Jiunn-Wei Chen, Chang-Tse Hsieh, Ryutaro Matsudo | Boundary condition and reflection anomaly in $2+1$ dimensions | 24 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the $2+1$d single Majorana fermion theory has an anomaly of
the reflection, which is canceled out when 16 copies of the theory are
combined. Therefore, it is expected that the reflection symmetric boundary
condition is impossible for one Majorana fermion, but possible for 16 Majorana
fermions. In this paper, we consider a reflection symmetric boundary condition
that varies at a single point, and find that there is a problem with one
Majorana fermion. The problem is the absence of a corresponding outgoing wave
to a specific incoming wave into the boundary, which leads to the
non-conservation of the energy. For 16 Majorana fermions, it is possible to
connect every incoming wave to an outgoing wave without breaking the reflection
symmetry. In addition, we discuss the connection with the fermion-monopole
scattering in $3+1$ dimensions.
| [
{
"created": "Mon, 19 Jun 2023 10:49:19 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 2023 07:50:56 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jul 2024 06:06:24 GMT",
"version": "v3"
}
] | 2024-07-24 | [
[
"Chen",
"Jiunn-Wei",
""
],
[
"Hsieh",
"Chang-Tse",
""
],
[
"Matsudo",
"Ryutaro",
""
]
] | It is known that the $2+1$d single Majorana fermion theory has an anomaly of the reflection, which is canceled out when 16 copies of the theory are combined. Therefore, it is expected that the reflection symmetric boundary condition is impossible for one Majorana fermion, but possible for 16 Majorana fermions. In this paper, we consider a reflection symmetric boundary condition that varies at a single point, and find that there is a problem with one Majorana fermion. The problem is the absence of a corresponding outgoing wave to a specific incoming wave into the boundary, which leads to the non-conservation of the energy. For 16 Majorana fermions, it is possible to connect every incoming wave to an outgoing wave without breaking the reflection symmetry. In addition, we discuss the connection with the fermion-monopole scattering in $3+1$ dimensions. |
hep-th/9907111 | P. Menotti | Pietro Menotti (Department of Physics, University of Pisa, Italy),
Domenico Seminara (Ecole Normale Superieure, Paris, France) | ADM approach to 2+1 dimensional gravity coupled to particles | 34 pages, LaTex | Annals Phys.279:282-310,2000 | 10.1006/aphy.1999.5972 | IFUP--TH 39/99, LPTENS--99/24 | hep-th gr-qc | null | We develop the canonical ADM approach to 2+1 dimensional gravity in presence
of point particles. The instantaneous York gauge can be applied for open
universes or universes with the topology of the sphere. The sequence of
canonical ADM equations is solved in terms of the conformal factor. A simple
derivation is given for the solution of the two body problem. A geometrical
characterization is given for the apparent singularities occurring in the
N-body problem and it is shown how the Garnier hamiltonian system arises in the
ADM treatment by considering the time development of the conformal factor at
the locations where the extrinsic curvature tensor vanishes.
| [
{
"created": "Wed, 14 Jul 1999 17:35:42 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Menotti",
"Pietro",
"",
"Department of Physics, University of Pisa, Italy"
],
[
"Seminara",
"Domenico",
"",
"Ecole Normale Superieure, Paris, France"
]
] | We develop the canonical ADM approach to 2+1 dimensional gravity in presence of point particles. The instantaneous York gauge can be applied for open universes or universes with the topology of the sphere. The sequence of canonical ADM equations is solved in terms of the conformal factor. A simple derivation is given for the solution of the two body problem. A geometrical characterization is given for the apparent singularities occurring in the N-body problem and it is shown how the Garnier hamiltonian system arises in the ADM treatment by considering the time development of the conformal factor at the locations where the extrinsic curvature tensor vanishes. |
hep-th/9805002 | Joao D. Correia | Jo\~ao D. Correia | A Note on the $c=1$ Barrier in Liouville Theory | 6 pages LaTeX, no figures | null | null | OUTP-98-28P | hep-th | null | The instability of Liouville theory coupled to $c>1$ matter fields is shown
to persist even when the ``spikes'' which represent highly singular geometries
are allowed to interact in a natural way.
| [
{
"created": "Fri, 1 May 1998 09:45:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Correia",
"João D.",
""
]
] | The instability of Liouville theory coupled to $c>1$ matter fields is shown to persist even when the ``spikes'' which represent highly singular geometries are allowed to interact in a natural way. |
0802.3869 | Kurt Lechner | Kurt Lechner, Mario Tonin | Superspace formulations of ten-dimensional supergravity | 22 pages, no figures, references and comments added | JHEP 0806:021,2008 | 10.1088/1126-6708/2008/06/021 | DFPD 03/TH/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new formulation for N=1, D=10 supergravity in superspace, in
presence of a Lorentz Chern-Simons-form. This formulation entails the following
properties: it furnishes a solution of the Bianchi identities that is
algebraically consistent to all orders in alpha'; at first order it is the
simplest formulation proposed so far, and it is therefore most suitable for an
explicit higher order analysis; it allows a well defined perturbative expansion
in alpha', in which no poltergeist fields appear; it reconciles the two
different classes of first order solutions available in the literature, that
until now appeared physically inequivalent.
| [
{
"created": "Tue, 26 Feb 2008 18:37:57 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2008 10:30:14 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Apr 2008 18:13:10 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Lechner",
"Kurt",
""
],
[
"Tonin",
"Mario",
""
]
] | We present a new formulation for N=1, D=10 supergravity in superspace, in presence of a Lorentz Chern-Simons-form. This formulation entails the following properties: it furnishes a solution of the Bianchi identities that is algebraically consistent to all orders in alpha'; at first order it is the simplest formulation proposed so far, and it is therefore most suitable for an explicit higher order analysis; it allows a well defined perturbative expansion in alpha', in which no poltergeist fields appear; it reconciles the two different classes of first order solutions available in the literature, that until now appeared physically inequivalent. |
hep-th/0207048 | Yong Zhang | Yong Zhang (ITP, Chinese Academy of Sciences) | Hopf Algebraic Structures in Proving Perturbative Unitarity | v1:23 pages, 7 figures, Latex. v2: some typos corrected, 25 pages, 7
figures, revtex4; v3,v4: a new version, 12pages, 13 figures, using axodraw | null | null | null | hep-th hep-ph math-ph math.MP | null | The coproduct of a Feynman diagram is set up through identifying the
perturbative unitarity of the S-matrix with the cutting equation from the
cutting rules. On the one hand, it includes all partitions of the vertex set of
the Feynman diagram and leads to the circling rules for the largest time
equation. Its antipode is the conjugation of the Feynman diagram. On the other
hand, it is regarded as the integration of incoming and outgoing particles over
the on-shell momentum space. This causes the cutting rules for the cutting
equation. Its antipode is an advanced function vanishing in retarded regions.
Both types of coproduct are well-defined for a renormalized Feynman diagram
since they are compatible with the Connes--Kreimer Hopf algebra.
| [
{
"created": "Fri, 5 Jul 2002 15:12:33 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Dec 2002 18:09:14 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Sep 2004 12:33:47 GMT",
"version": "v3"
},
{
"created": "Sun, 12 Sep 2004 12:24:46 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Zhang",
"Yong",
"",
"ITP, Chinese Academy of Sciences"
]
] | The coproduct of a Feynman diagram is set up through identifying the perturbative unitarity of the S-matrix with the cutting equation from the cutting rules. On the one hand, it includes all partitions of the vertex set of the Feynman diagram and leads to the circling rules for the largest time equation. Its antipode is the conjugation of the Feynman diagram. On the other hand, it is regarded as the integration of incoming and outgoing particles over the on-shell momentum space. This causes the cutting rules for the cutting equation. Its antipode is an advanced function vanishing in retarded regions. Both types of coproduct are well-defined for a renormalized Feynman diagram since they are compatible with the Connes--Kreimer Hopf algebra. |
hep-th/9612019 | Sven Falkenberg | S. Falkenberg (Leipzig University) and S. D. Odintsov (Valle
University) | Gauge Dependence of the Effective Average Action in Einstein Gravity | 19 pages, LaTeX, 1 figure, misprints corrected | Int.J.Mod.Phys.A13:607-623,1998 | 10.1142/S0217751X98000263 | null | hep-th | null | We study the gauge dependence of the effective average action Gamma_k and
Newtonian gravitational constant using the RG equation for Gamma_k. Then we
truncate the space of action functionals to get a solution of this equation. We
solve the truncated evolution equation for the Einstein gravity in the De
Sitter background for a general gauge parameter alpha and obtain a system of
equations for the cosmological and the Newtonian constants. Analyzing the
running of the gravitational constant we find that the Newtonian constant
depends strongly on the gauge parameter. This leads to the appearance of
antiscreening and screening behavior of the quantum gravity. The resolution of
the gauge dependence problem is suggested. For physical gauges like the
Landau-De Witt gauge the Newtonian constant shows an antiscreening.
| [
{
"created": "Mon, 2 Dec 1996 14:35:40 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 1998 12:19:04 GMT",
"version": "v2"
}
] | 2010-05-07 | [
[
"Falkenberg",
"S.",
"",
"Leipzig University"
],
[
"Odintsov",
"S. D.",
"",
"Valle\n University"
]
] | We study the gauge dependence of the effective average action Gamma_k and Newtonian gravitational constant using the RG equation for Gamma_k. Then we truncate the space of action functionals to get a solution of this equation. We solve the truncated evolution equation for the Einstein gravity in the De Sitter background for a general gauge parameter alpha and obtain a system of equations for the cosmological and the Newtonian constants. Analyzing the running of the gravitational constant we find that the Newtonian constant depends strongly on the gauge parameter. This leads to the appearance of antiscreening and screening behavior of the quantum gravity. The resolution of the gauge dependence problem is suggested. For physical gauges like the Landau-De Witt gauge the Newtonian constant shows an antiscreening. |
hep-th/9301108 | null | E. Abdalla, M.C.B. Abdalla, O.H.G. Branco and L.E. Saltini | Current Algebra of Super WZNW Models | 13 pages | J.Phys. A27 (1994) 4709-4716 | 10.1088/0305-4470/27/13/043 | null | hep-th | null | We derive the current algebra of supersymmetric principal chiral models with
a Wess-Zumino term. At the critical point one obtains two commuting super
Kac-Moody algebra as expected, but in general there are intertwining fields
connecting both right and left sectors, analogously to the bosonic case.
Moreover, in the present supersymmetric extension we have a quadratic algebra,
rather than an affine Lie algebra, due to the mixing between bosonic and
fermionic fields since the purely fermionic sector displays a Lie algebra as
well.
| [
{
"created": "Tue, 26 Jan 1993 18:05:31 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Abdalla",
"E.",
""
],
[
"Abdalla",
"M. C. B.",
""
],
[
"Branco",
"O. H. G.",
""
],
[
"Saltini",
"L. E.",
""
]
] | We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields since the purely fermionic sector displays a Lie algebra as well. |
hep-th/0301245 | Vasiliy P. Neznamov | A.V. Gichuk, V.P. Neznamov, Yu.V. Petrov | Feasibility of finite renormalization of particle mass in quantum
electrodynamics | REVTEX, 9 pages, 1 table, submitted to RRD | null | 10.1142/9789812702883_0041 | null | hep-th | null | The paper proposes an algorithm for regularization of the self-energy
expressions for a Dirac particle that meets the relativistic and gauge
invariance requirements.
| [
{
"created": "Thu, 30 Jan 2003 06:16:42 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 2004 05:35:02 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Gichuk",
"A. V.",
""
],
[
"Neznamov",
"V. P.",
""
],
[
"Petrov",
"Yu. V.",
""
]
] | The paper proposes an algorithm for regularization of the self-energy expressions for a Dirac particle that meets the relativistic and gauge invariance requirements. |
hep-th/9412138 | Steve Giddings | Steven B. Giddings | Quantum Mechanics of Black Holes | 52 pages (harvmac l mode); also uses tables.tex | null | null | UCSBTH-94-52 | hep-th gr-qc | null | These lectures give a pedagogical review of dilaton gravity, Hawking
radiation, the black hole information problem, and black hole pair creation.
(Lectures presented at the 1994 Trieste Summer School in High Energy Physics
and Cosmology)
| [
{
"created": "Fri, 16 Dec 1994 00:18:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Giddings",
"Steven B.",
""
]
] | These lectures give a pedagogical review of dilaton gravity, Hawking radiation, the black hole information problem, and black hole pair creation. (Lectures presented at the 1994 Trieste Summer School in High Energy Physics and Cosmology) |
1909.10280 | Mohammad Walid AlMasri | Mohammad Walid AlMasri | Axial-Anomaly in Noncommutative QED and Pauli-Villars Regularization | 1+15 Pages, No figures | International Journal of Modern Physics A: Vol.34, No.26, 1950150
(2019) | 10.1142/S0217751X19501501 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We calculate the $U(1)$ axial-anomaly in two and four dimensions using a
modified path integral method coupled to a Pauli-Villars regulator field in the
noncommutative QED. Pauli-Villars regularization method provides us with
unambiguous way to connect the modified path integral formalism with
perturbative axial Ward identities at each step of calculations.
| [
{
"created": "Mon, 23 Sep 2019 11:06:19 GMT",
"version": "v1"
}
] | 2019-09-24 | [
[
"AlMasri",
"Mohammad Walid",
""
]
] | We calculate the $U(1)$ axial-anomaly in two and four dimensions using a modified path integral method coupled to a Pauli-Villars regulator field in the noncommutative QED. Pauli-Villars regularization method provides us with unambiguous way to connect the modified path integral formalism with perturbative axial Ward identities at each step of calculations. |
1011.5278 | Leonardo Rastelli | Abhijit Gadde, Leonardo Rastelli, Shlomo S. Razamat and Wenbin Yan | On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check | 26 pages, 7 figures | JHEP 1103:041,2011 | 10.1007/JHEP03(2011)041 | YITP-SB-10-38 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the superconformal index of the Y^{p,q} quiver gauge theories
using Romeslberger's prescription. For the conifold quiver Y^{1,0} we find
exact agreement at large N with a previous calculation in the dual AdS_5 X
T^{1,1} supergravity.
| [
{
"created": "Wed, 24 Nov 2010 03:11:40 GMT",
"version": "v1"
}
] | 2011-03-18 | [
[
"Gadde",
"Abhijit",
""
],
[
"Rastelli",
"Leonardo",
""
],
[
"Razamat",
"Shlomo S.",
""
],
[
"Yan",
"Wenbin",
""
]
] | We evaluate the superconformal index of the Y^{p,q} quiver gauge theories using Romeslberger's prescription. For the conifold quiver Y^{1,0} we find exact agreement at large N with a previous calculation in the dual AdS_5 X T^{1,1} supergravity. |
hep-th/9610226 | Nathan Jacob Berkovits | Nathan Berkovits | Super-Maxwell Actions with Manifest Duality | 7 pages harvmac tex | Phys.Lett. B398 (1997) 79-82 | 10.1016/S0370-2693(97)00212-8 | IFT-P.042/96 | hep-th | null | Superstring field theory was recently used to derive a four-dimensional
Maxwell action with manifest duality. This action is related to the
McClain-Wu-Yu Hamiltonian and can be locally coupled to electric and magnetic
sources.
In this letter, the manifestly dual Maxwell action is supersymmetrized using
N=1 and N=2 superspace. The N=2 version may be useful for studying
Seiberg-Witten duality.
| [
{
"created": "Mon, 28 Oct 1996 23:01:22 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Berkovits",
"Nathan",
""
]
] | Superstring field theory was recently used to derive a four-dimensional Maxwell action with manifest duality. This action is related to the McClain-Wu-Yu Hamiltonian and can be locally coupled to electric and magnetic sources. In this letter, the manifestly dual Maxwell action is supersymmetrized using N=1 and N=2 superspace. The N=2 version may be useful for studying Seiberg-Witten duality. |
hep-th/0211163 | Gor Sarkissian | Gor Sarkissian | On D-branes in the Nappi-Witten and GMM gauged WZW models | 16 pages, harvmac | JHEP 0301 (2003) 059 | 10.1088/1126-6708/2003/01/059 | null | hep-th | null | We construct D-branes in the Nappi-Witten (NW) and
Guadagnini-Martellini-Mintchev (GMM) gauged WZW models. For the $SL(2,R)\times
SU(2)/U(1)\times U(1)$ NW and $SU(2)\times SU(2)/U(1)$ GMM models we present
the explicit equations describing the D-brane hypersurfaces in their target
spaces. In the latter case we show that the D-branes are classified according
to the Cardy theorem. We also present the semiclassical mass computation and
find its agreement with the CFT predictions.
| [
{
"created": "Mon, 18 Nov 2002 16:07:33 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Nov 2002 13:26:24 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jan 2003 14:29:51 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Sarkissian",
"Gor",
""
]
] | We construct D-branes in the Nappi-Witten (NW) and Guadagnini-Martellini-Mintchev (GMM) gauged WZW models. For the $SL(2,R)\times SU(2)/U(1)\times U(1)$ NW and $SU(2)\times SU(2)/U(1)$ GMM models we present the explicit equations describing the D-brane hypersurfaces in their target spaces. In the latter case we show that the D-branes are classified according to the Cardy theorem. We also present the semiclassical mass computation and find its agreement with the CFT predictions. |
hep-th/9806005 | Clovis Wotzasek | Clovis Wotzasek | Soldering Formalism: Theory and Applications | LaTex file, 42 pages, Talk presented at Universite de Montreal, Nov.
24-27, 1997 | null | null | null | hep-th | null | The soldering mechanism is a new technique to work with distinct
manifestations of dualities that incorporates interference effects, leading to
new physical results that includes quantum contributions. This approach was
used to investigate the cases of electromagnetic dualities, and $D\geq 2$
bosonization. In the former context this technique is applied for the quantum
mechanical harmonic oscillator, the scalar field theory in two dimensions and
the Maxwell theory in four dimensions. The soldered actions in any dimension
leads to a master action which is duality invariant under a much bigger set of
symmetries. The effects of coupling to gravity are also elaborated. In the
later context, a technique is developed that solders the dual aspects of some
symmetry following from the bosonisation of two distinct fermionic models,
leading to new results which cannot be otherwise obtained. Exploiting this
technique, the two dimensional chiral determinants with opposite chirality are
soldered to reproduce either the usual gauge invariant expression leading to
the Schwinger model or, alternatively, the Thirring model. Likewise, two
apparently independent three dimensional massive Thirring models with same
coupling but opposite mass signatures, in the long wavelegth limit, combine by
the process of bosonisation and soldering to yield an effective massive Maxwell
theory. The current bosonisation formulas are given, both in the original
independent formulation as well as the effective theory, and shown to yield
consistent results for the correlation functions.
| [
{
"created": "Tue, 2 Jun 1998 00:18:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Wotzasek",
"Clovis",
""
]
] | The soldering mechanism is a new technique to work with distinct manifestations of dualities that incorporates interference effects, leading to new physical results that includes quantum contributions. This approach was used to investigate the cases of electromagnetic dualities, and $D\geq 2$ bosonization. In the former context this technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in four dimensions. The soldered actions in any dimension leads to a master action which is duality invariant under a much bigger set of symmetries. The effects of coupling to gravity are also elaborated. In the later context, a technique is developed that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, leading to new results which cannot be otherwise obtained. Exploiting this technique, the two dimensional chiral determinants with opposite chirality are soldered to reproduce either the usual gauge invariant expression leading to the Schwinger model or, alternatively, the Thirring model. Likewise, two apparently independent three dimensional massive Thirring models with same coupling but opposite mass signatures, in the long wavelegth limit, combine by the process of bosonisation and soldering to yield an effective massive Maxwell theory. The current bosonisation formulas are given, both in the original independent formulation as well as the effective theory, and shown to yield consistent results for the correlation functions. |
hep-th/0002182 | Juan Alberto Mignaco | Carlos A. P. Galvao and Juan A. Mignaco | A consistent electromagnetic duality | 6 pages,LaTeX | null | null | null | hep-th | null | We present a new view for duality in classical electromagnetic theory, based
on the physical properties of a dual theory, eliminating the problems of the
usual treatment of the subject.
| [
{
"created": "Tue, 22 Feb 2000 14:18:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Galvao",
"Carlos A. P.",
""
],
[
"Mignaco",
"Juan A.",
""
]
] | We present a new view for duality in classical electromagnetic theory, based on the physical properties of a dual theory, eliminating the problems of the usual treatment of the subject. |
1404.2601 | Daniel Baumann | Daniel Baumann and Liam McAllister | Inflation and String Theory | 349 pages, 48 figures. Draft of a book to be published by Cambridge
University Press. Comments welcomed | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review cosmological inflation and its realization in quantum field theory
and in string theory. This material is a portion of a book, also entitled
"Inflation and String Theory", to be published by Cambridge University Press.
| [
{
"created": "Wed, 9 Apr 2014 20:00:20 GMT",
"version": "v1"
}
] | 2014-04-15 | [
[
"Baumann",
"Daniel",
""
],
[
"McAllister",
"Liam",
""
]
] | We review cosmological inflation and its realization in quantum field theory and in string theory. This material is a portion of a book, also entitled "Inflation and String Theory", to be published by Cambridge University Press. |
1810.02095 | Masahiro Ibe | Koichi Hamaguchi, Masahiro Ibe, Takeo Moroi | The swampland conjecture and the Higgs expectation value | 30 pages, 3 figures | null | 10.1007/JHEP12(2018)023 | UT-18-19, IPMU18-0159 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recently proposed de Sitter swampland conjecture excludes local extrema
of a scalar potential with a positive energy density in a low energy effective
theory. Under the conjecture, the observed dark energy cannot be explained by
the cosmological constant. The local maximum of the Higgs potential at the
symmetric point also contradicts with the conjecture. In order to make the
Standard Model consistent with the conjecture, it has been proposed to
introduce a quintessence field, $Q$, which couples to the cosmological constant
and the local maximum of the Higgs potential. In this paper, we show that such
a modified Higgs potential generically results in a $Q$-dependent Higgs vacuum
expectation value (VEV). The $Q$-dependence of the Higgs VEV induces a
long-range force, which is severely excluded by the tests of the equivalence
principle. Besides, as the quintessence field is in motion, the Higgs VEV shows
a time-dependence, which is also severely constrained by the measurements of
the time-dependence of the proton-to-electron mass ratio. Those constraints
require an additional fine-tuning which is justified neither by the swampland
conjecture nor the anthropic principle. We further show that, even if such an
unjustified fine-tuning condition is imposed at the tree level, radiative
corrections upset it. Consequently, we argue that most of the habitable vacua
in the string landscape are in tension with the phenomenological constraints.
| [
{
"created": "Thu, 4 Oct 2018 08:27:31 GMT",
"version": "v1"
}
] | 2018-12-26 | [
[
"Hamaguchi",
"Koichi",
""
],
[
"Ibe",
"Masahiro",
""
],
[
"Moroi",
"Takeo",
""
]
] | The recently proposed de Sitter swampland conjecture excludes local extrema of a scalar potential with a positive energy density in a low energy effective theory. Under the conjecture, the observed dark energy cannot be explained by the cosmological constant. The local maximum of the Higgs potential at the symmetric point also contradicts with the conjecture. In order to make the Standard Model consistent with the conjecture, it has been proposed to introduce a quintessence field, $Q$, which couples to the cosmological constant and the local maximum of the Higgs potential. In this paper, we show that such a modified Higgs potential generically results in a $Q$-dependent Higgs vacuum expectation value (VEV). The $Q$-dependence of the Higgs VEV induces a long-range force, which is severely excluded by the tests of the equivalence principle. Besides, as the quintessence field is in motion, the Higgs VEV shows a time-dependence, which is also severely constrained by the measurements of the time-dependence of the proton-to-electron mass ratio. Those constraints require an additional fine-tuning which is justified neither by the swampland conjecture nor the anthropic principle. We further show that, even if such an unjustified fine-tuning condition is imposed at the tree level, radiative corrections upset it. Consequently, we argue that most of the habitable vacua in the string landscape are in tension with the phenomenological constraints. |
hep-th/0410169 | Frank Ferrari | Frank Ferrari (U.L. Bruxelles and Intl. Solvay Inst.) | Super Yang-Mills, Matrix Models and Geometric Transitions | 11 pages, 2 figures, .cls files included; to appear in the
proceedings of the Strings 2004 conference in Paris | Comptes Rendus Physique 6 (2005) 219-230 | 10.1016/j.crhy.2004.12.002 | NEIP-04-005, LPTENS-04/42 | hep-th | null | I explain two applications of the relationship between four dimensional N=1
supersymmetric gauge theories, zero dimensional gauged matrix models, and
geometric transitions in string theory. The first is related to the spectrum of
BPS domain walls or BPS branes. It is shown that one can smoothly interpolate
between a D-brane state, whose weak coupling tension scales as Nc or 1/gs, and
a closed string solitonic state, whose weak coupling tension scales as Nc^2 or
1/gs^2. This is part of a larger theory of N=1 quantum parameter spaces. The
second is a new purely geometric approach to sum exactly over planar diagrams
in zero dimension. It is an example of open/closed string duality.
| [
{
"created": "Fri, 15 Oct 2004 12:37:11 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Ferrari",
"Frank",
"",
"U.L. Bruxelles and Intl. Solvay Inst."
]
] | I explain two applications of the relationship between four dimensional N=1 supersymmetric gauge theories, zero dimensional gauged matrix models, and geometric transitions in string theory. The first is related to the spectrum of BPS domain walls or BPS branes. It is shown that one can smoothly interpolate between a D-brane state, whose weak coupling tension scales as Nc or 1/gs, and a closed string solitonic state, whose weak coupling tension scales as Nc^2 or 1/gs^2. This is part of a larger theory of N=1 quantum parameter spaces. The second is a new purely geometric approach to sum exactly over planar diagrams in zero dimension. It is an example of open/closed string duality. |
1909.01352 | Gregory Loges | Gregory J. Loges, Toshifumi Noumi and Gary Shiu | Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity
Conjecture | 27 pages, 5 figures | Phys. Rev. D 102, 046010 (2020) | 10.1103/PhysRevD.102.046010 | KOBE-COSMO-19-15, MAD-TH-19-07 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Taking a thermodynamic perspective, we study the weak gravity conjecture in
the context of 4D Einstein-Maxwell-dilaton theory. We find closed-form
expressions for the corrected thermodynamic quantities in the presence of
four-derivative terms in the action, and in particular the charge-to-mass ratio
and entropy, for several families of solutions of special magnetic-to-electric
charge ratio or dilaton coupling constant. Assuming that dyonic black holes
themselves are the conjectured charged states, this places constraints on the
Wilson coefficients of the theory which we show are satisfied under mild
assumptions on the UV theory.
| [
{
"created": "Tue, 3 Sep 2019 18:00:01 GMT",
"version": "v1"
}
] | 2020-08-19 | [
[
"Loges",
"Gregory J.",
""
],
[
"Noumi",
"Toshifumi",
""
],
[
"Shiu",
"Gary",
""
]
] | Taking a thermodynamic perspective, we study the weak gravity conjecture in the context of 4D Einstein-Maxwell-dilaton theory. We find closed-form expressions for the corrected thermodynamic quantities in the presence of four-derivative terms in the action, and in particular the charge-to-mass ratio and entropy, for several families of solutions of special magnetic-to-electric charge ratio or dilaton coupling constant. Assuming that dyonic black holes themselves are the conjectured charged states, this places constraints on the Wilson coefficients of the theory which we show are satisfied under mild assumptions on the UV theory. |
hep-th/9708169 | null | Nemanja Kaloper and Krzysztof A. Meissner | Tailoring T-Duality Beyond the First Loop | 9 pages, Latex, no figures. Based on the talks given by N. Kaloper at
the conferences Black Holes: Theory and Mathematical Aspects at Banff, AB,
Canada and the $7^{th}~C^2GR^2A$ in Calgary, AB, Canada, May 31 - June 7,
1997 | null | null | CERN-TH/97-222, WATPHYS-TH-97/11 | hep-th | null | In this article we review a recent calculation of the two-loop $\sigma$-model
corrections to the T-duality map in string theory. Using the effective action
approach, and focusing on backgrounds with a single Abelian isometry, we give
the $O(\alpha')$ modifications of the lowest-order duality transformations. The
torsion plays an important role in the theory to $O(\alpha')$, because of the
Chern-Simons couplings to the gauge fields that arise via dimensional
reduction.
| [
{
"created": "Fri, 29 Aug 1997 15:32:46 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 1997 14:55:24 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Meissner",
"Krzysztof A.",
""
]
] | In this article we review a recent calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. Using the effective action approach, and focusing on backgrounds with a single Abelian isometry, we give the $O(\alpha')$ modifications of the lowest-order duality transformations. The torsion plays an important role in the theory to $O(\alpha')$, because of the Chern-Simons couplings to the gauge fields that arise via dimensional reduction. |
1508.00910 | Mohamed Anber | Mohamed M. Anber, Erich Poppitz | On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on
$\mathbb R^3 \times \mathbb S^1$ | 35 pages+ appendices, 11 figures; Typos corrected, footnotes 1,6 and
references added. Version to appear in JHEP | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spatial compactification on $\mathbb R^{3} \times \mathbb S^1_L$ at small
$\mathbb S^1$-size $L$ often leads to a calculable vacuum structure, where
various "topological molecules" are responsible for confinement and the
realization of the center and discrete chiral symmetries. Within this
semiclassically calculable framework, we study how distinct theories with the
same $SU(N_c)/\mathbb Z_k$ gauge group (labeled by "discrete $\theta$-angles")
arise upon gauging of appropriate $\mathbb Z_k$ subgroups of the one-form
global center symmetry of an $SU(N_c)$ gauge theory. We determine the possible
$\mathbb Z_k$ actions on the local electric and magnetic effective degrees of
freedom, find the ground states, and use domain walls and confining strings to
give a physical picture of the vacuum structure of the different
$SU(N_c)/\mathbb Z_k$ theories. Some of our results reproduce ones from earlier
supersymmetric studies, but most are new and do not invoke supersymmetry. We
also study a further finite-temperature compactification to $\mathbb
R^{2}\times \mathbb S^1_\beta\times\mathbb S^1_L$. We argue that, in deformed
Yang-Mills theory, the effective theory near the deconfinement temperature
$\beta_c \gg L$ exhibits an emergent Kramers-Wannier duality and that it
exchanges high- and low-temperature theories with different global structure,
sharing features with both the Ising model and $S$-duality in ${\cal N}$$=$$4$
supersymmetric Yang-Mills theory.
| [
{
"created": "Tue, 4 Aug 2015 20:18:25 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Sep 2015 09:31:12 GMT",
"version": "v2"
}
] | 2015-09-25 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Poppitz",
"Erich",
""
]
] | Spatial compactification on $\mathbb R^{3} \times \mathbb S^1_L$ at small $\mathbb S^1$-size $L$ often leads to a calculable vacuum structure, where various "topological molecules" are responsible for confinement and the realization of the center and discrete chiral symmetries. Within this semiclassically calculable framework, we study how distinct theories with the same $SU(N_c)/\mathbb Z_k$ gauge group (labeled by "discrete $\theta$-angles") arise upon gauging of appropriate $\mathbb Z_k$ subgroups of the one-form global center symmetry of an $SU(N_c)$ gauge theory. We determine the possible $\mathbb Z_k$ actions on the local electric and magnetic effective degrees of freedom, find the ground states, and use domain walls and confining strings to give a physical picture of the vacuum structure of the different $SU(N_c)/\mathbb Z_k$ theories. Some of our results reproduce ones from earlier supersymmetric studies, but most are new and do not invoke supersymmetry. We also study a further finite-temperature compactification to $\mathbb R^{2}\times \mathbb S^1_\beta\times\mathbb S^1_L$. We argue that, in deformed Yang-Mills theory, the effective theory near the deconfinement temperature $\beta_c \gg L$ exhibits an emergent Kramers-Wannier duality and that it exchanges high- and low-temperature theories with different global structure, sharing features with both the Ising model and $S$-duality in ${\cal N}$$=$$4$ supersymmetric Yang-Mills theory. |
0803.4333 | Jurgen Baacke | Jurgen Baacke | One-loop corrections to the instanton transition in the Abelian Higgs
model: Gel'fand-Yaglom and Green's function methods | 34 pages, 5 figures | Phys.Rev.D78:065039,2008 | 10.1103/PhysRevD.78.065039 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fluctuation determinant, the preexponential factor for the instanton
transition, has been computed several years ago in the Abelian Higgs model,
using a method based on integrating the Euclidean Green' function. A more
elegant method for computing functional determinants, using the Gel'fand-Yaglom
theorem, has been applied recently to a variety of systems. This method runs
into difficulties if the background field has nontrivial topology, as is the
case for the instanton in the Abelian Higgs model. A shift in thre effective
centrifugal barriers makes the s-wave contribution infinite, an infinity that
is compensated by the summation over the other partial waves. This requires
some modifications of the Gel'fand-Yaglom method which are the main subject of
this work. We present here both, the Green' s function and the Gel'fand-Yaglom
method and compare the numerical results in detail.
| [
{
"created": "Mon, 31 Mar 2008 03:48:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Baacke",
"Jurgen",
""
]
] | The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method for computing functional determinants, using the Gel'fand-Yaglom theorem, has been applied recently to a variety of systems. This method runs into difficulties if the background field has nontrivial topology, as is the case for the instanton in the Abelian Higgs model. A shift in thre effective centrifugal barriers makes the s-wave contribution infinite, an infinity that is compensated by the summation over the other partial waves. This requires some modifications of the Gel'fand-Yaglom method which are the main subject of this work. We present here both, the Green' s function and the Gel'fand-Yaglom method and compare the numerical results in detail. |
2304.05998 | Victor Eugen Ambru\c{s} | Victor E. Ambru\c{s} and Maxim N. Chernodub | Rigidly-rotating scalar fields: between real divergence and imaginary
fractalization | 40 pages, 22 figures; accepted for publication in PRD; fractalization
video is available at https://youtu.be/Pk-S_10BM-k | Phys. Rev. D 108, 085016 (2023) | 10.1103/PhysRevD.108.085016 | null | hep-th cond-mat.stat-mech hep-lat | http://creativecommons.org/licenses/by/4.0/ | The thermodynamics of rigidly rotating systems experience divergences when
the system dimensions transverse to the rotation axis exceed the critical size
imposed by the causality constraint. The rotation with imaginary angular
frequency, suitable for numerical lattice simulations in Euclidean
imaginary-time formalism, experiences fractalization of thermodynamics in the
thermodynamic limit, when the system's pressure becomes a fractal function of
the rotation frequency. Our work connects two phenomena by studying how
thermodynamics fractalizes as the system size grows. We examine an
analytically-accessible system of rotating massless scalar matter on a
one-dimensional ring and the numerically treatable case of rotation in the
cylindrical geometry and show how the ninionic deformation of statistics
emerges in these systems. We discuss a no-go theorem on analytical continuation
between real- and imaginary-rotating theories. Finally, we compute the moment
of inertia and shape deformation coefficients caused by the rotation of the
relativistic bosonic gas.
| [
{
"created": "Wed, 12 Apr 2023 17:24:04 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Oct 2023 12:16:46 GMT",
"version": "v2"
}
] | 2023-12-21 | [
[
"Ambruş",
"Victor E.",
""
],
[
"Chernodub",
"Maxim N.",
""
]
] | The thermodynamics of rigidly rotating systems experience divergences when the system dimensions transverse to the rotation axis exceed the critical size imposed by the causality constraint. The rotation with imaginary angular frequency, suitable for numerical lattice simulations in Euclidean imaginary-time formalism, experiences fractalization of thermodynamics in the thermodynamic limit, when the system's pressure becomes a fractal function of the rotation frequency. Our work connects two phenomena by studying how thermodynamics fractalizes as the system size grows. We examine an analytically-accessible system of rotating massless scalar matter on a one-dimensional ring and the numerically treatable case of rotation in the cylindrical geometry and show how the ninionic deformation of statistics emerges in these systems. We discuss a no-go theorem on analytical continuation between real- and imaginary-rotating theories. Finally, we compute the moment of inertia and shape deformation coefficients caused by the rotation of the relativistic bosonic gas. |
2205.01236 | Souradeep Purkayastha | Taro Kimura and Souradeep Purkayastha | Classical group matrix models and universal criticality | 18 pages, minor correction post-publication | null | 10.1007/JHEP09(2022)163 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study generalizations of the Gross--Witten--Wadia unitary matrix model for
the special orthogonal and symplectic groups. We show using a standard Coulomb
gas treatment -- employing a path integral formalism for the ungapped phase and
resolvent techniques for the gapped phase with one coupling constant -- that in
the large $N$ limit, the free energy normalized modulo the square of the gauge
group rank is twice the value for the unitary case. Using generalized Cauchy
identities for character polynomials, we then demonstrate the universality of
this phase transition for an arbitrary number of coupling constants by linking
this model to the random partition based on the Schur measure.
| [
{
"created": "Mon, 2 May 2022 22:03:55 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Sep 2022 09:50:21 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Feb 2023 15:12:12 GMT",
"version": "v3"
}
] | 2023-02-28 | [
[
"Kimura",
"Taro",
""
],
[
"Purkayastha",
"Souradeep",
""
]
] | We study generalizations of the Gross--Witten--Wadia unitary matrix model for the special orthogonal and symplectic groups. We show using a standard Coulomb gas treatment -- employing a path integral formalism for the ungapped phase and resolvent techniques for the gapped phase with one coupling constant -- that in the large $N$ limit, the free energy normalized modulo the square of the gauge group rank is twice the value for the unitary case. Using generalized Cauchy identities for character polynomials, we then demonstrate the universality of this phase transition for an arbitrary number of coupling constants by linking this model to the random partition based on the Schur measure. |
2310.19703 | Fei Yan | Madhav Sinha, Fei Yan, Linnea Grans-Samuelsson, Ananda Roy and Hubert
Saleur | Lattice Realizations of Topological Defects in the critical (1+1)-d
Three-State Potts Model | 50 pages, 20 figures | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://creativecommons.org/licenses/by/4.0/ | Topological/perfectly-transmissive defects play a fundamental role in the
analysis of the symmetries of two dimensional conformal field theories (CFTs).
In the present work, spin chain regularizations for these defects are proposed
and analyzed in the case of the three-state Potts CFT. In particular, lattice
versions for all the primitive defects are presented, with the remaining
defects obtained from the fusion of the primitive ones. The defects are
obtained by introducing modified interactions around two given sites of an
otherwise homogeneous spin chain with periodic boundary condition. The various
primitive defects are topological on the lattice except for one, which is
topological only in the scaling limit. The lattice models are analyzed using a
combination of exact diagonalization and density matrix renormalization group
techniques. Low-lying energy spectra for different defect Hamiltonians as well
as entanglement entropy of blocks located symmetrically around the defects are
computed. The latter provides a convenient way to compute the $g$-function
which characterizes various defects. Finally, the eigenvalues of the line
operators in the "crossed channel'' and fusion of different defect lines are
also analyzed. The results are all in agreement with expectations from
conformal field theory.
| [
{
"created": "Mon, 30 Oct 2023 16:25:01 GMT",
"version": "v1"
}
] | 2023-10-31 | [
[
"Sinha",
"Madhav",
""
],
[
"Yan",
"Fei",
""
],
[
"Grans-Samuelsson",
"Linnea",
""
],
[
"Roy",
"Ananda",
""
],
[
"Saleur",
"Hubert",
""
]
] | Topological/perfectly-transmissive defects play a fundamental role in the analysis of the symmetries of two dimensional conformal field theories (CFTs). In the present work, spin chain regularizations for these defects are proposed and analyzed in the case of the three-state Potts CFT. In particular, lattice versions for all the primitive defects are presented, with the remaining defects obtained from the fusion of the primitive ones. The defects are obtained by introducing modified interactions around two given sites of an otherwise homogeneous spin chain with periodic boundary condition. The various primitive defects are topological on the lattice except for one, which is topological only in the scaling limit. The lattice models are analyzed using a combination of exact diagonalization and density matrix renormalization group techniques. Low-lying energy spectra for different defect Hamiltonians as well as entanglement entropy of blocks located symmetrically around the defects are computed. The latter provides a convenient way to compute the $g$-function which characterizes various defects. Finally, the eigenvalues of the line operators in the "crossed channel'' and fusion of different defect lines are also analyzed. The results are all in agreement with expectations from conformal field theory. |
hep-th/9806141 | null | M. Cvetic and A.A. Tseytlin | Sigma model of near-extreme rotating black holes and their microstates | 15 pages, latex | Nucl.Phys.B537:381-394,1999 | 10.1016/S0550-3213(98)00608-7 | Imperial/TP/97-98/55, UPR-0809-T, ITP/NSF-98-069 | hep-th | null | Five-dimensional non-extreme rotating black holes with large NS-NS five-brane
and fundamental string charge are shown to be described by a conformal sigma
model, which is a marginal integrable deformation of six-dimensional SL(2,R) x
SU(2) WZW model. The two WZW levels are equal to the five-brane charge, while
the parameters of the two marginal deformations generated by the left and right
chiral SU(2) currents are proportional to the two angular momentum components
of the black hole. The near-horizon description is effectively in terms of a
free fundamental string whose tension is rescaled by the five-brane charge. The
microstates are identified with those of left and right moving superconformal
string oscillations in the four directions transverse to the five-brane. Their
statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the
rotating black hole.
| [
{
"created": "Wed, 17 Jun 1998 20:22:28 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | Five-dimensional non-extreme rotating black holes with large NS-NS five-brane and fundamental string charge are shown to be described by a conformal sigma model, which is a marginal integrable deformation of six-dimensional SL(2,R) x SU(2) WZW model. The two WZW levels are equal to the five-brane charge, while the parameters of the two marginal deformations generated by the left and right chiral SU(2) currents are proportional to the two angular momentum components of the black hole. The near-horizon description is effectively in terms of a free fundamental string whose tension is rescaled by the five-brane charge. The microstates are identified with those of left and right moving superconformal string oscillations in the four directions transverse to the five-brane. Their statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the rotating black hole. |
1801.09910 | Andreas Blommaert | Andreas Blommaert, Thomas G. Mertens, Henri Verschelde, Valentin I.
Zakharov | Edge State Quantization: Vector Fields in Rindler | 57 pages, v2: minor modifications and references added, matches
published version | JHEP 1808 (2018) 196 | 10.1007/JHEP08(2018)196 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a detailed discussion of the entanglement structure of vector
fields through canonical quantization. We quantize Maxwell theory in Rindler
space in Lorenz gauge, discuss the Hilbert space structure and analyze the
Unruh effect. As a warm-up, in 1+1 dimensions, we compute the spectrum and
prove that the theory is thermodynamically trivial. In d+1 dimensions, we
identify the edge sector as eigenstates of horizon electric flux or
equivalently as states representing large gauge transformations, localized on
the horizon. The edge Hilbert space is generated by inserting a generic
combination of Wilson line punctures in the edge vacuum, and the edge states
are identified as Maxwell microstates of the black hole. This construction is
repeated for Proca theory. Extensions to tensor field theories, and the link
with Chern-Simons are discussed.
| [
{
"created": "Tue, 30 Jan 2018 09:31:32 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2018 15:59:33 GMT",
"version": "v2"
}
] | 2018-09-25 | [
[
"Blommaert",
"Andreas",
""
],
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
],
[
"Zakharov",
"Valentin I.",
""
]
] | We present a detailed discussion of the entanglement structure of vector fields through canonical quantization. We quantize Maxwell theory in Rindler space in Lorenz gauge, discuss the Hilbert space structure and analyze the Unruh effect. As a warm-up, in 1+1 dimensions, we compute the spectrum and prove that the theory is thermodynamically trivial. In d+1 dimensions, we identify the edge sector as eigenstates of horizon electric flux or equivalently as states representing large gauge transformations, localized on the horizon. The edge Hilbert space is generated by inserting a generic combination of Wilson line punctures in the edge vacuum, and the edge states are identified as Maxwell microstates of the black hole. This construction is repeated for Proca theory. Extensions to tensor field theories, and the link with Chern-Simons are discussed. |
0710.1914 | Thomas Curtright | Thomas L. Curtright and David B. Fairlie | Euler Incognito | 2 pages | J.Phys.A41:244009,2008 | 10.1088/1751-8113/41/24/244009 | null | hep-th math-ph math.MP physics.flu-dyn | null | The nonlinear flow equations discussed recently by Bender and Feinberg are
all reduced to the well-known Euler equation after change of variables.
| [
{
"created": "Wed, 10 Oct 2007 03:13:05 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Curtright",
"Thomas L.",
""
],
[
"Fairlie",
"David B.",
""
]
] | The nonlinear flow equations discussed recently by Bender and Feinberg are all reduced to the well-known Euler equation after change of variables. |
1812.07664 | Ali Eghbali | Ali Eghbali | Exact conformal field theories from mutually T-dualizable
$\sigma$-models | 15 pages; Accepted for publication in Physical Review D | Physical Review D 99, 026001 (2019) | 10.1103/PhysRevD.99.026001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exact conformal field theories (CFTs) are obtained by using the approach of
Poisson-Lie (PL) T-duality in the presence of spectators. We explicitly
construct some non-Abelian T-dual $\sigma$-models (here as the PL T-duality on
a semi-Abelian double) on $2+2$-dimensional target manifolds $M \approx O
\times \bf G$ and ${\tilde M} \approx O \times {\bf {\tilde G}}$, where $\bf G$
and ${\bf {\tilde G}}$ as two-dimensional real non-Abelian and Abelian Lie
groups act freely on $M$ and $\tilde M$, respectively, while $O$ is the orbit
of $\bf G$ in $M$. The findings of our study show that the original models are
equivalent to Wess-Zumino-Witten (WZW) models based on the Heisenberg $(H_4)$
and $GL(2,\mathbb{R})$ Lie groups. In this way, some new T-dual backgrounds for
these WZW models are obtained. For one of the duals of the $H_4$ WZW model, we
show that the model is self-dual. In the case of the $GL(2,\mathbb{R})$ WZW
model it is observed that the duality transformation changes the asymptotic
behavior of solutions from $AdS_{3} \times \mathbb{R}$ to flat space. Then, the
structure and asymptotic nature of the dual spacetime of this model including
the horizon and singularity are determined. We furthermore get the non-critical
Bianchi type III string cosmological model with a non-vanishing field strength
from T-dualizable $\sigma$-models and show that this model describes an exact
CFT (equivalent to the $GL(2,\mathbb{R})$ WZW model). After that, the conformal
invariance of T-dual models up to two-loop order (first order in $\alpha'$) is
discussed.
| [
{
"created": "Tue, 18 Dec 2018 22:04:18 GMT",
"version": "v1"
}
] | 2019-01-08 | [
[
"Eghbali",
"Ali",
""
]
] | Exact conformal field theories (CFTs) are obtained by using the approach of Poisson-Lie (PL) T-duality in the presence of spectators. We explicitly construct some non-Abelian T-dual $\sigma$-models (here as the PL T-duality on a semi-Abelian double) on $2+2$-dimensional target manifolds $M \approx O \times \bf G$ and ${\tilde M} \approx O \times {\bf {\tilde G}}$, where $\bf G$ and ${\bf {\tilde G}}$ as two-dimensional real non-Abelian and Abelian Lie groups act freely on $M$ and $\tilde M$, respectively, while $O$ is the orbit of $\bf G$ in $M$. The findings of our study show that the original models are equivalent to Wess-Zumino-Witten (WZW) models based on the Heisenberg $(H_4)$ and $GL(2,\mathbb{R})$ Lie groups. In this way, some new T-dual backgrounds for these WZW models are obtained. For one of the duals of the $H_4$ WZW model, we show that the model is self-dual. In the case of the $GL(2,\mathbb{R})$ WZW model it is observed that the duality transformation changes the asymptotic behavior of solutions from $AdS_{3} \times \mathbb{R}$ to flat space. Then, the structure and asymptotic nature of the dual spacetime of this model including the horizon and singularity are determined. We furthermore get the non-critical Bianchi type III string cosmological model with a non-vanishing field strength from T-dualizable $\sigma$-models and show that this model describes an exact CFT (equivalent to the $GL(2,\mathbb{R})$ WZW model). After that, the conformal invariance of T-dual models up to two-loop order (first order in $\alpha'$) is discussed. |
1506.03951 | Jaemo Park | Chiung Hwang and Jaemo Park | Factorization of the 3d superconformal index with an adjoint matter | 49 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We work out the factorization of the 3d superconformal index for N = 2
$U(N_c)$ gauge theory withone adjoint chiral multiplet as well as $N_f$
fundamental, $N_a$ anti-fundamental chiral multiplets. Using the
factorization,one can prove the Seiberg-like duality for N = 4 $U(N_c)$ theory
with $N_f$ hypermultiplets at the index level. We explicitlyshow that monopole
operators violating unitarity bound in a bad theory are mapped to free
hypermultiplets in the dual side. For N = 2 $U(N_c)$ theory with one adjoint
matter $X$, $N_f$ fundamental, $N_a$ anti-fundamental chiral multiplets with
superpotential $W = tr X^{n+1}$, we work out Seiberg-like duality for this
theory. The index computation provides combinatorial identities for a dual
pair, which we carry out intensive numerical checks.
| [
{
"created": "Fri, 12 Jun 2015 09:26:57 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Hwang",
"Chiung",
""
],
[
"Park",
"Jaemo",
""
]
] | We work out the factorization of the 3d superconformal index for N = 2 $U(N_c)$ gauge theory withone adjoint chiral multiplet as well as $N_f$ fundamental, $N_a$ anti-fundamental chiral multiplets. Using the factorization,one can prove the Seiberg-like duality for N = 4 $U(N_c)$ theory with $N_f$ hypermultiplets at the index level. We explicitlyshow that monopole operators violating unitarity bound in a bad theory are mapped to free hypermultiplets in the dual side. For N = 2 $U(N_c)$ theory with one adjoint matter $X$, $N_f$ fundamental, $N_a$ anti-fundamental chiral multiplets with superpotential $W = tr X^{n+1}$, we work out Seiberg-like duality for this theory. The index computation provides combinatorial identities for a dual pair, which we carry out intensive numerical checks. |
2210.04036 | Dmitry Ponomarev | Dmitry Ponomarev | Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem
and lower-point functions | v3: 18 pages, minor corrections, references added | null | 10.1007/JHEP01(2023)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove the flat space analogue of the Flato-Fronsdal theorem. It features
the flat space singleton representation suggested recently. We do that by
deriving a kernel that intertwines a pair of singleton representations with
massless higher-spin fields in flat space. Next, we derive two-point functions
of flat space singletons, which are then used to construct two- and three-point
scattering amplitudes in the dual theory of massless higher-spin fields. These
amplitudes agree with amplitudes in the chiral higher-spin theory.
| [
{
"created": "Sat, 8 Oct 2022 14:34:42 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2022 09:46:54 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Nov 2022 22:55:31 GMT",
"version": "v3"
}
] | 2023-02-01 | [
[
"Ponomarev",
"Dmitry",
""
]
] | We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless higher-spin fields in flat space. Next, we derive two-point functions of flat space singletons, which are then used to construct two- and three-point scattering amplitudes in the dual theory of massless higher-spin fields. These amplitudes agree with amplitudes in the chiral higher-spin theory. |
1604.00650 | Junjie Rao | Junjie Rao, Bo Feng | Note on Identities Inspired by New Soft Theorems | 17 pages | JHEP 1604 (2016) 173 | 10.1007/JHEP04(2016)173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The new soft theorems, for both gravity and gauge amplitudes, have inspired a
number of works, including the discovery of new identities related to
amplitudes. In this note, we present the proof and discussion for two sets of
identities. The first set includes an identity involving the half-soft function
which had been used in the soft theorem for one-loop rational gravity
amplitudes, and another simpler identity as its byproduct. The second set
includes two identities involving the KLT momentum kernel, as the consistency
conditions of the KLT relation plus soft theorems for both gravity and gauge
amplitudes. We use the CHY formulation to prove the first identity, and
transform the second one into a convenient form for future discussion.
| [
{
"created": "Sun, 3 Apr 2016 16:17:03 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 02:53:56 GMT",
"version": "v2"
}
] | 2016-05-05 | [
[
"Rao",
"Junjie",
""
],
[
"Feng",
"Bo",
""
]
] | The new soft theorems, for both gravity and gauge amplitudes, have inspired a number of works, including the discovery of new identities related to amplitudes. In this note, we present the proof and discussion for two sets of identities. The first set includes an identity involving the half-soft function which had been used in the soft theorem for one-loop rational gravity amplitudes, and another simpler identity as its byproduct. The second set includes two identities involving the KLT momentum kernel, as the consistency conditions of the KLT relation plus soft theorems for both gravity and gauge amplitudes. We use the CHY formulation to prove the first identity, and transform the second one into a convenient form for future discussion. |
1204.2494 | Alexei Deriglazov A | A. A. Deriglazov | Variational problem for the Frenkel and the Bargmann-Michel-Telegdi
(BMT) equations | 04 pages, notations changed, misprints corrected | Modern Physics Letters A Vol. 28, No. 1 (2013) 1250234 | 10.1142/S0217732312502343 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose Lagrangian formulation for the particle with value of spin fixed
within the classical theory. The Lagrangian turns out to be invariant under
non-abelian group of local symmetries. As the gauge-invariant variables for
description of spin we can take either the Frenkel tensor or the BMT vector.
Fixation of spin within the classical theory implies $O(\hbar)$-corrections to
the corresponding equations of motion.
| [
{
"created": "Wed, 11 Apr 2012 16:33:01 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2012 12:19:42 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Dec 2012 12:25:02 GMT",
"version": "v3"
},
{
"created": "Sat, 24 Aug 2013 14:47:50 GMT",
"version": "v4"
},
{
"c... | 2014-01-14 | [
[
"Deriglazov",
"A. A.",
""
]
] | We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian turns out to be invariant under non-abelian group of local symmetries. As the gauge-invariant variables for description of spin we can take either the Frenkel tensor or the BMT vector. Fixation of spin within the classical theory implies $O(\hbar)$-corrections to the corresponding equations of motion. |
hep-th/0411167 | Pietro Antonio Grassi | Pietro Antonio Grassi (CERN, YITP Stony Brook, DISTA Alessandria) and
Pierre Vanhove (SPhT Saclay) | Topological M Theory from Pure Spinor Formalism | harvmac, 28pp. v2: Assorted english corrections | Adv.Theor.Math.Phys. 9 (2005) 285-313 | null | CERN-PH-TH/2004-204, SPHT-T04/41, YITP-SB-04-62 | hep-th | null | We construct multiloop superparticle amplitudes in 11d using the pure spinor
formalism. We explain how this construction reduces to the superparticle limit
of the multiloop pure spinor superstring amplitudes prescription. We then argue
that this construction points to some evidence for the existence of a
topological M theory based on a relation between the ghost number of the
full-fledged supersymmetric critical models and the dimension of the spacetime
for topological models. In particular, we show that the extensions at higher
orders of the previous results for the tree and one-loop level expansion for
the superparticle in 11 dimensions is related to a topological model in 7
dimensions.
| [
{
"created": "Thu, 18 Nov 2004 17:56:15 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2004 10:25:35 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Grassi",
"Pietro Antonio",
"",
"CERN, YITP Stony Brook, DISTA Alessandria"
],
[
"Vanhove",
"Pierre",
"",
"SPhT Saclay"
]
] | We construct multiloop superparticle amplitudes in 11d using the pure spinor formalism. We explain how this construction reduces to the superparticle limit of the multiloop pure spinor superstring amplitudes prescription. We then argue that this construction points to some evidence for the existence of a topological M theory based on a relation between the ghost number of the full-fledged supersymmetric critical models and the dimension of the spacetime for topological models. In particular, we show that the extensions at higher orders of the previous results for the tree and one-loop level expansion for the superparticle in 11 dimensions is related to a topological model in 7 dimensions. |
hep-th/9110041 | David Kutasov | D. Kutasov | Some Properties of (Non) Critical Strings | 39 pages | null | null | null | hep-th | null | We review some recent developments in string theory, emphasizing the
importance of vacuum instabilities, their relation to the density of states,
and the role of space-time fermions in non-critical string theory. We also
discuss the classical dynamics of two dimensional string theory.
| [
{
"created": "Tue, 15 Oct 1991 12:24:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kutasov",
"D.",
""
]
] | We review some recent developments in string theory, emphasizing the importance of vacuum instabilities, their relation to the density of states, and the role of space-time fermions in non-critical string theory. We also discuss the classical dynamics of two dimensional string theory. |
0903.1542 | Qing-Guo Huang | Qing-Guo Huang | The Trispectrum in the Multi-brid Inflation | 12 pages; minor correction, refs added; further refs added, version
for publication in JCAP | JCAP 0905:005,2009 | 10.1088/1475-7516/2009/05/005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The trispectrum is at least as important as the bispectrum and its size can
be characterized by two parameters $\tau_{NL}$ and $g_{NL}$. In this short
paper, we focus on the Multi-brid inflation, in particular the two-brid
inflation model in arXiv.0805.0974, and find that $\tau_{NL}$ is always
positive and roughly equals to $({6\over 5}f_{NL})^2$ for the low scale
inflation, but $g_{NL}$ can be negative or positive and its order of magnitude
can be the same as that of $\tau_{NL}$ or even larger
| [
{
"created": "Mon, 9 Mar 2009 12:23:28 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Mar 2009 04:31:01 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2009 01:45:20 GMT",
"version": "v3"
}
] | 2009-05-29 | [
[
"Huang",
"Qing-Guo",
""
]
] | The trispectrum is at least as important as the bispectrum and its size can be characterized by two parameters $\tau_{NL}$ and $g_{NL}$. In this short paper, we focus on the Multi-brid inflation, in particular the two-brid inflation model in arXiv.0805.0974, and find that $\tau_{NL}$ is always positive and roughly equals to $({6\over 5}f_{NL})^2$ for the low scale inflation, but $g_{NL}$ can be negative or positive and its order of magnitude can be the same as that of $\tau_{NL}$ or even larger |
2407.15630 | Jeevan Chandra Namburi | Jeevan Chandra | Euclidean wormholes in holographic RG flows | 32 pages + appendices | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a one-parameter family of Euclidean wormhole solutions with the
topology of a compact hyperbolic space times an interval in Einstein gravity
minimally coupled to a massless scalar field in AdS$_{d+1}$ commonly referred
to as Einstein-dilaton gravity. These solutions are locally described by the
same metric and dilaton profile as the single-boundary Janus domain wall
solutions in the same theory which are usually studied in the context of
holographic RG flows. The wormholes compute the averaged product of partition
functions of CFTs on either boundary deformed by different marginal couplings
to the scalar operator dual to the dilaton. We observe that the renormalised
volumes of these wormholes increase monotonically with the difference in the
marginal couplings on the boundary thereby showing that the pair of CFTs on the
boundaries get increasingly decorrelated as the difference in the marginal
couplings increases. We use the partition functions of the three-dimensional
wormhole solutions to determine the variance of the OPE data of local operators
between the marginally deformed 2d CFTs and quantify how the variance decays
with the difference in marginal couplings. In addition, a family of wormholes
sourced by a thin shell of dust determine how the variance of the matrix
elements of the dual line defect decays with the difference in marginal
couplings. Applying the GKPW dictionary to wormholes, we compute averages of
integrated dilaton correlators treating the wormhole amplitude as a functional
of the dilaton sources. We observe that the crossed two-point correlators with
a dilaton insertion on either boundary decay montonically with the difference
in marginal couplings consistent with the observation that the CFTs
increasingly decorrelate as the difference in marginal couplings grows.
| [
{
"created": "Mon, 22 Jul 2024 13:43:47 GMT",
"version": "v1"
}
] | 2024-07-23 | [
[
"Chandra",
"Jeevan",
""
]
] | We describe a one-parameter family of Euclidean wormhole solutions with the topology of a compact hyperbolic space times an interval in Einstein gravity minimally coupled to a massless scalar field in AdS$_{d+1}$ commonly referred to as Einstein-dilaton gravity. These solutions are locally described by the same metric and dilaton profile as the single-boundary Janus domain wall solutions in the same theory which are usually studied in the context of holographic RG flows. The wormholes compute the averaged product of partition functions of CFTs on either boundary deformed by different marginal couplings to the scalar operator dual to the dilaton. We observe that the renormalised volumes of these wormholes increase monotonically with the difference in the marginal couplings on the boundary thereby showing that the pair of CFTs on the boundaries get increasingly decorrelated as the difference in the marginal couplings increases. We use the partition functions of the three-dimensional wormhole solutions to determine the variance of the OPE data of local operators between the marginally deformed 2d CFTs and quantify how the variance decays with the difference in marginal couplings. In addition, a family of wormholes sourced by a thin shell of dust determine how the variance of the matrix elements of the dual line defect decays with the difference in marginal couplings. Applying the GKPW dictionary to wormholes, we compute averages of integrated dilaton correlators treating the wormhole amplitude as a functional of the dilaton sources. We observe that the crossed two-point correlators with a dilaton insertion on either boundary decay montonically with the difference in marginal couplings consistent with the observation that the CFTs increasingly decorrelate as the difference in marginal couplings grows. |
hep-th/0601084 | Guido Cognola | Guido Cognola, Emilio Elizalde, Sergio Zerbini | Heat-kernel expansion on non compact domains and a generalised
zeta-function regularisation procedure | Latex, 14 pages, no figures. The version to be published in JMP | null | 10.1063/1.2259580 | null | hep-th | null | Heat-kernel expansion and zeta function regularisation are discussed for
Laplace type operators with discrete spectrum in non compact domains. Since a
general theory is lacking, the heat-kernel expansion is investigated by means
of several examples. It is pointed out that for a class of exponential
(analytic) interactions, generically the non-compactness of the domain gives
rise to logarithmic terms in the heat-kernel expansion. Then, a meromorphic
continuation of the associated zeta function is investigated. A simple model is
considered, for which the analytic continuation of the zeta function is not
regular at the origin, displaying a pole of higher order. For a physically
meaningful evaluation of the related functional determinant, a generalised zeta
function regularisation procedure is proposed.
| [
{
"created": "Fri, 13 Jan 2006 10:51:09 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2006 07:26:02 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Cognola",
"Guido",
""
],
[
"Elizalde",
"Emilio",
""
],
[
"Zerbini",
"Sergio",
""
]
] | Heat-kernel expansion and zeta function regularisation are discussed for Laplace type operators with discrete spectrum in non compact domains. Since a general theory is lacking, the heat-kernel expansion is investigated by means of several examples. It is pointed out that for a class of exponential (analytic) interactions, generically the non-compactness of the domain gives rise to logarithmic terms in the heat-kernel expansion. Then, a meromorphic continuation of the associated zeta function is investigated. A simple model is considered, for which the analytic continuation of the zeta function is not regular at the origin, displaying a pole of higher order. For a physically meaningful evaluation of the related functional determinant, a generalised zeta function regularisation procedure is proposed. |
hep-th/0501173 | Giuliano Niccoli G. | Gesualdo Delfino and Giuliano Niccoli | Form factors of descendant operators in the massive Lee-Yang model | 23 pages | J.Stat.Mech.0504:P04004,2005 | 10.1088/1742-5468/2005/04/P04004 | null | hep-th cond-mat.stat-mech | null | The form factors of the descendant operators in the massive Lee-Yang model
are determined up to level 7. This is first done by exploiting the conserved
quantities of the integrable theory to generate the solutions for the
descendants starting from the lowest non-trivial solutions in each operator
family. We then show that the operator space generated in this way, which is
isomorphic to the conformal one, coincides, level by level, with that implied
by the $S$-matrix through the form factor bootstrap. The solutions we determine
satisfy asymptotic conditions carrying the information about the level that we
conjecture to hold for all the operators of the model.
| [
{
"created": "Fri, 21 Jan 2005 10:07:07 GMT",
"version": "v1"
}
] | 2011-02-16 | [
[
"Delfino",
"Gesualdo",
""
],
[
"Niccoli",
"Giuliano",
""
]
] | The form factors of the descendant operators in the massive Lee-Yang model are determined up to level 7. This is first done by exploiting the conserved quantities of the integrable theory to generate the solutions for the descendants starting from the lowest non-trivial solutions in each operator family. We then show that the operator space generated in this way, which is isomorphic to the conformal one, coincides, level by level, with that implied by the $S$-matrix through the form factor bootstrap. The solutions we determine satisfy asymptotic conditions carrying the information about the level that we conjecture to hold for all the operators of the model. |
1905.05807 | Matteo Sacchi | Sara Pasquetti and Matteo Sacchi | 3d dualities from 2d free field correlators: recombination and rank
stabilization | 79 pages, 16 figures; revised version | null | 10.1007/JHEP01(2020)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose various new 3d N=2 dualities exploiting their recently discovered
connection to the duality relations for 2d free field CFT correlators. Most of
the dualities involve, as the main building block, a quiver theory with
monopole superpotential which enjoys various interesting properties such as
being self-dual and reducing, in a suitable real mass deformation, to the
familiar T[SU(N)] theory. In particular we propose a duality for the U(N)
theory with one adjoint and k+1 fundamental flavors. By iterating some basic
dualities we can bring the theory to a stable form which, in turns, allows us
to find a dual frame where the rank of the original theory appears as a
parameter.
| [
{
"created": "Tue, 14 May 2019 19:29:34 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2019 15:30:07 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jan 2020 10:55:22 GMT",
"version": "v3"
}
] | 2020-01-29 | [
[
"Pasquetti",
"Sara",
""
],
[
"Sacchi",
"Matteo",
""
]
] | We propose various new 3d N=2 dualities exploiting their recently discovered connection to the duality relations for 2d free field CFT correlators. Most of the dualities involve, as the main building block, a quiver theory with monopole superpotential which enjoys various interesting properties such as being self-dual and reducing, in a suitable real mass deformation, to the familiar T[SU(N)] theory. In particular we propose a duality for the U(N) theory with one adjoint and k+1 fundamental flavors. By iterating some basic dualities we can bring the theory to a stable form which, in turns, allows us to find a dual frame where the rank of the original theory appears as a parameter. |
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