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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9407084 | null | Maurice Kibler | Miscellaneous Physical Applications of Quantum Algebras | 16 pages, Tex | null | null | LYCEN 9358 | hep-th | null | Some ideas about phenomenological applications of quantum algebras to physics
are reviewed. We examine in particular some applications of the algebras $U_ q
(su_2)$ and $U_{qp}({\rm u}_2)$ to various dynamical systems and to atomic and
nuclear spectroscopy. The lack of a true (unique) $q$- or $qp$-quantization
process is emphasized.
| [
{
"created": "Fri, 15 Jul 1994 11:20:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kibler",
"Maurice",
""
]
] | Some ideas about phenomenological applications of quantum algebras to physics are reviewed. We examine in particular some applications of the algebras $U_ q (su_2)$ and $U_{qp}({\rm u}_2)$ to various dynamical systems and to atomic and nuclear spectroscopy. The lack of a true (unique) $q$- or $qp$-quantization process is emphasized. |
0905.0903 | Aleksey Cherman | Aleksey Cherman, Thomas D. Cohen, Abhinav Nellore | A bound on the speed of sound from holography | 4 pages, 1 figure | Phys.Rev.D80:066003,2009 | 10.1103/PhysRevD.80.066003 | UMD-40762-449, PUPT-2298 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the squared speed of sound v_{s}^{2} is bounded from above at
high temperatures by the conformal value of 1/3 in a class of strongly coupled
four-dimensional field theories, given some mild technical assumptions. This
class consists of field theories that have gravity duals sourced by a single
scalar field. There are no known examples to date of field theories with
gravity duals for which v_{s}^{2} exceeds 1/3 in energetically favored
configurations. We conjecture that v_{s}^{2}=1/3 represents an upper bound for
a broad class of four-dimensional theories.
| [
{
"created": "Wed, 6 May 2009 21:24:14 GMT",
"version": "v1"
}
] | 2009-09-24 | [
[
"Cherman",
"Aleksey",
""
],
[
"Cohen",
"Thomas D.",
""
],
[
"Nellore",
"Abhinav",
""
]
] | We show that the squared speed of sound v_{s}^{2} is bounded from above at high temperatures by the conformal value of 1/3 in a class of strongly coupled four-dimensional field theories, given some mild technical assumptions. This class consists of field theories that have gravity duals sourced by a single scalar field. There are no known examples to date of field theories with gravity duals for which v_{s}^{2} exceeds 1/3 in energetically favored configurations. We conjecture that v_{s}^{2}=1/3 represents an upper bound for a broad class of four-dimensional theories. |
1502.00261 | Zhiguang Xiao | Da Zhou, Zhiguang Xiao | Phase structures of the black D$p$-D$(p+4)$-brane system in various
ensembles I: thermal stability | 45 pages, 16 figures, accepted by JHEP; A section added to briefly
discuss more general stability conditions, various typos corrected | null | null | USTC-ICTS-15-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When the D$(p+4)$-brane ($p=0,1,2$) with delocalized D$p$ charges is put into
equilibrium with a spherical thermal cavity, the two kinds of charges can be
put into canonical or grand canonical ensemble independently by setting
different conditions at the boundary. Using the thermal stability condition, we
discuss the phase structures of various ensembles of this system formed in this
way and find out the situations that the black brane could be the final stable
phase in these ensembles. In particular, van der Waals-like phase transitions
can happen when D0 and D4 charges are in different kinds of ensembles.
Furthermore, our results indicate that the D$(p+4)$-branes and the delocalized
D$p$-branes are equipotent.
| [
{
"created": "Sun, 1 Feb 2015 14:17:54 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2015 12:27:09 GMT",
"version": "v2"
}
] | 2015-07-14 | [
[
"Zhou",
"Da",
""
],
[
"Xiao",
"Zhiguang",
""
]
] | When the D$(p+4)$-brane ($p=0,1,2$) with delocalized D$p$ charges is put into equilibrium with a spherical thermal cavity, the two kinds of charges can be put into canonical or grand canonical ensemble independently by setting different conditions at the boundary. Using the thermal stability condition, we discuss the phase structures of various ensembles of this system formed in this way and find out the situations that the black brane could be the final stable phase in these ensembles. In particular, van der Waals-like phase transitions can happen when D0 and D4 charges are in different kinds of ensembles. Furthermore, our results indicate that the D$(p+4)$-branes and the delocalized D$p$-branes are equipotent. |
1908.04324 | Mohammad Akhond | Mohammad Akhond, Adi Armoni, Stefano Speziali | Phases of $\mathbf{U(N_c)}$ QCD$_3$ from Type 0 Strings and Seiberg
Duality | null | null | 10.1007/JHEP09(2019)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an embedding of $U(N_c)$ QCD$_3$ with a Chern-Simons term in
string theory. The UV gauge theory lives on the worldvolume of a Hanany-Witten
brane configuration in type 0B string theory in the presence of Sagnotti's
O$'3$ orientifold. We use the brane configuration to propose a magnetic Seiberg
dual. We identify various phases of the magnetic theory with conjectured phases
of QCD$_3$. In particular the symmetry breaking and bosonization phases are
both associated with condensation of the dual squark field. We also discuss the
abelian theory without Chern-Simons term and argue that flavour symmetry is not
broken. Finally, we also predict novel type 0B string dynamics from QCD
dynamics.
| [
{
"created": "Mon, 12 Aug 2019 18:19:27 GMT",
"version": "v1"
}
] | 2019-10-08 | [
[
"Akhond",
"Mohammad",
""
],
[
"Armoni",
"Adi",
""
],
[
"Speziali",
"Stefano",
""
]
] | We propose an embedding of $U(N_c)$ QCD$_3$ with a Chern-Simons term in string theory. The UV gauge theory lives on the worldvolume of a Hanany-Witten brane configuration in type 0B string theory in the presence of Sagnotti's O$'3$ orientifold. We use the brane configuration to propose a magnetic Seiberg dual. We identify various phases of the magnetic theory with conjectured phases of QCD$_3$. In particular the symmetry breaking and bosonization phases are both associated with condensation of the dual squark field. We also discuss the abelian theory without Chern-Simons term and argue that flavour symmetry is not broken. Finally, we also predict novel type 0B string dynamics from QCD dynamics. |
0805.1159 | Amir H. Fatollahi | Amir H. Fatollahi | Particle Dynamics And Emergent Gravity | 1+6 pages, no figs, LaTeX | Phys.Lett.B665:257-259,2008 | 10.1016/j.physletb.2008.06.028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emergent gravity proposal is examined within the framework of
noncommutative QED/gravity correspondence from particle dynamics point of view.
| [
{
"created": "Thu, 8 May 2008 13:33:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fatollahi",
"Amir H.",
""
]
] | The emergent gravity proposal is examined within the framework of noncommutative QED/gravity correspondence from particle dynamics point of view. |
0711.4541 | Shahar Hod | Shahar Hod | Einstein-Yang-Mills Solitons: The Role of Gravity | 6 pages | Phys.Lett.B657:255-256,2007 | 10.1016/j.physletb.2007.10.015 | null | hep-th astro-ph gr-qc | null | The canonical Bartnik-McKinnon solitons are regular solutions of the coupled
Einstein-Yang-Mills system in which gravity may balance the repulsive nature of
the Yang-Mills field. We examine the role played by gravity in balancing the
system and determine its strength. In particular, we obtain an analytic lower
bound on the fundamental mass-to-radius ratio, max{2m(r)/r}>2/3, which is a
necessary condition for the existence of globally regular Einstein-Yang-Mills
solitons. Our analytical results are in accord with numerical calculations.
| [
{
"created": "Wed, 28 Nov 2007 17:17:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hod",
"Shahar",
""
]
] | The canonical Bartnik-McKinnon solitons are regular solutions of the coupled Einstein-Yang-Mills system in which gravity may balance the repulsive nature of the Yang-Mills field. We examine the role played by gravity in balancing the system and determine its strength. In particular, we obtain an analytic lower bound on the fundamental mass-to-radius ratio, max{2m(r)/r}>2/3, which is a necessary condition for the existence of globally regular Einstein-Yang-Mills solitons. Our analytical results are in accord with numerical calculations. |
0903.3925 | Suvankar Dutta | Nabamita Banerjee and Suvankar Dutta | Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity | 29 pages, no figure, V2, results and typos corrected | JHEP 0907:024,2009 | 10.1088/1126-6708/2009/07/024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate shear viscosity to entropy density ratio in presence of four
derivative (with coefficient $\alpha'$) and six derivative (with coefficient
$\alpha'^2$) terms in bulk action. In general, there can be three possible four
derivative terms and ten possible six derivative terms in the Lagrangian. Among
them two four derivative and eight six derivative terms are ambiguous, i.e.,
these terms can be removed from the action by suitable field redefinitions.
Rest are unambiguous. According to the AdS/CFT correspondence all the
unambiguous coefficients (coefficients of unambiguous terms) can be fixed in
terms of field theory parameters. Therefore, any measurable quantities of
boundary theory, for example shear viscosity to entropy density ratio, when
calculated holographically can be expressed in terms of unambiguous
coefficients in the bulk theory (or equivalently in terms of boundary
parameters). We calculate $\eta/s$ for generic six derivative gravity and find
that apparently it depends on few ambiguous coefficients at order $\alpha'^2$.
We calculate six derivative corrections to central charges $a$ and $c$ and
express $\eta/s$ in terms of these central charges and unambiguous coefficients
in the bulk theory.
| [
{
"created": "Mon, 23 Mar 2009 18:35:25 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 19:28:01 GMT",
"version": "v2"
}
] | 2009-07-22 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Dutta",
"Suvankar",
""
]
] | We calculate shear viscosity to entropy density ratio in presence of four derivative (with coefficient $\alpha'$) and six derivative (with coefficient $\alpha'^2$) terms in bulk action. In general, there can be three possible four derivative terms and ten possible six derivative terms in the Lagrangian. Among them two four derivative and eight six derivative terms are ambiguous, i.e., these terms can be removed from the action by suitable field redefinitions. Rest are unambiguous. According to the AdS/CFT correspondence all the unambiguous coefficients (coefficients of unambiguous terms) can be fixed in terms of field theory parameters. Therefore, any measurable quantities of boundary theory, for example shear viscosity to entropy density ratio, when calculated holographically can be expressed in terms of unambiguous coefficients in the bulk theory (or equivalently in terms of boundary parameters). We calculate $\eta/s$ for generic six derivative gravity and find that apparently it depends on few ambiguous coefficients at order $\alpha'^2$. We calculate six derivative corrections to central charges $a$ and $c$ and express $\eta/s$ in terms of these central charges and unambiguous coefficients in the bulk theory. |
1508.03867 | Roldao da Rocha | Gabriel German, Alfredo Herrera-Aguilar, Andre M. Kuerten, Dagoberto
Malagon-Morejon, Roldao da Rocha | Stability of a tachyon braneworld | 25 pages | JCAP 01 (2016) 047 | 10.1088/1475-7516/2016/01/047 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the braneworld paradigm the tachyonic scalar field has been used to
generate models that attempt to solve some of the open problems that physics
faces nowadays, both in cosmology and high energy physics as well. When these
field configurations are produced by the interplay of higher dimensional warped
gravity with some matter content, braneworld models must prove to be {\it
stable} under the whole set of small fluctuations of the gravitational and
matter fields background, among other consistency tests. Here we present a
complete proof of the stability under scalar perturbations of tachyonic thick
braneworlds with an embedded maximally symmetric 4D space-time, revealing its
physical consistency. This family of models contains a recently reported
tachyonic de Sitter thick braneworld which possesses a series of appealing
properties. These features encompass complete regularity, asymptotic flatness
(instead of being asymptotically dS or AdS) even when it contains a negative
bulk cosmological constant, a relevant 3-brane with dS metric which naturally
arises from the full set of field equations of the 5D background (it is not
imposed), qualitatively describing the inflationary epochs of our Universe, and
a graviton spectrum with a single zero mode bound state that accounts for the
4D graviton localised on the brane and is separated from the continuum of
Kaluza-Klein massive graviton excitations by a mass gap. Gauge vector fields
with a single massless bound state in its mass spectrum are also localised on
this braneworld model a fact that allows us to recover the Coulomb's law of our
4D world. All these properties of the above referred tachyonic braneworld
together with the positive stability analysis provided in this work, constitute
a firm step towards the construction of realistic cosmological models within
the braneworld paradigm.
| [
{
"created": "Sun, 16 Aug 2015 21:33:55 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 18:56:22 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"German",
"Gabriel",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kuerten",
"Andre M.",
""
],
[
"Malagon-Morejon",
"Dagoberto",
""
],
[
"da Rocha",
"Roldao",
""
]
] | Within the braneworld paradigm the tachyonic scalar field has been used to generate models that attempt to solve some of the open problems that physics faces nowadays, both in cosmology and high energy physics as well. When these field configurations are produced by the interplay of higher dimensional warped gravity with some matter content, braneworld models must prove to be {\it stable} under the whole set of small fluctuations of the gravitational and matter fields background, among other consistency tests. Here we present a complete proof of the stability under scalar perturbations of tachyonic thick braneworlds with an embedded maximally symmetric 4D space-time, revealing its physical consistency. This family of models contains a recently reported tachyonic de Sitter thick braneworld which possesses a series of appealing properties. These features encompass complete regularity, asymptotic flatness (instead of being asymptotically dS or AdS) even when it contains a negative bulk cosmological constant, a relevant 3-brane with dS metric which naturally arises from the full set of field equations of the 5D background (it is not imposed), qualitatively describing the inflationary epochs of our Universe, and a graviton spectrum with a single zero mode bound state that accounts for the 4D graviton localised on the brane and is separated from the continuum of Kaluza-Klein massive graviton excitations by a mass gap. Gauge vector fields with a single massless bound state in its mass spectrum are also localised on this braneworld model a fact that allows us to recover the Coulomb's law of our 4D world. All these properties of the above referred tachyonic braneworld together with the positive stability analysis provided in this work, constitute a firm step towards the construction of realistic cosmological models within the braneworld paradigm. |
2006.01144 | Rudin Petrossian-Byrne | John March-Russell, Rudin Petrossian-Byrne | QCD, Flavor, and the de Sitter Swampland | 24 pages, 12 figures | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The refined swampland de Sitter conjecture (SdSC) is a proposed constraint on
the form of the total potential in a theory including quantum gravity.
According to this conjecture potentials possessing metastable de Sitter vacua
are in the swampland of effective field theories that cannot descend from a
theory with gravity. It is known that in the Standard Model (SM), as the quark
masses and theta-parameter are varied, IR- calculable metastable states in QCD
appear (for N > 2 light quarks) and we discuss in detail their properties. We
argue that the SdSC excludes the values of quark masses and theta for which
these metastable states can arise, leading to a possible surprising connection
between quantum gravity and aspects of low-energy flavor phenomenology. The
observed values of the quark masses and QCD theta-parameter are consistent with
the SdSC, giving mild indirect support for the conjecture. If, in addition, as
partially indicated by large-N c and semi-classical analysis, pure SU (3)
Yang-Mills theory has metastable states at theta = 0 (this to our knowledge is
not known) then much of the a-priori SM parameter space is eliminated. In
particular the limit of large electroweak vacuum expectation v_EW > 50 TeV is
excluded by the SdSC if quark Yukawa couplings are kept fixed, possibly
shedding a new light on the hierarchy problem. We argue that these statements
are robust against the addition of a quintessence field unless extreme
fine-tuning is allowed.
| [
{
"created": "Mon, 1 Jun 2020 18:00:01 GMT",
"version": "v1"
}
] | 2020-06-03 | [
[
"March-Russell",
"John",
""
],
[
"Petrossian-Byrne",
"Rudin",
""
]
] | The refined swampland de Sitter conjecture (SdSC) is a proposed constraint on the form of the total potential in a theory including quantum gravity. According to this conjecture potentials possessing metastable de Sitter vacua are in the swampland of effective field theories that cannot descend from a theory with gravity. It is known that in the Standard Model (SM), as the quark masses and theta-parameter are varied, IR- calculable metastable states in QCD appear (for N > 2 light quarks) and we discuss in detail their properties. We argue that the SdSC excludes the values of quark masses and theta for which these metastable states can arise, leading to a possible surprising connection between quantum gravity and aspects of low-energy flavor phenomenology. The observed values of the quark masses and QCD theta-parameter are consistent with the SdSC, giving mild indirect support for the conjecture. If, in addition, as partially indicated by large-N c and semi-classical analysis, pure SU (3) Yang-Mills theory has metastable states at theta = 0 (this to our knowledge is not known) then much of the a-priori SM parameter space is eliminated. In particular the limit of large electroweak vacuum expectation v_EW > 50 TeV is excluded by the SdSC if quark Yukawa couplings are kept fixed, possibly shedding a new light on the hierarchy problem. We argue that these statements are robust against the addition of a quintessence field unless extreme fine-tuning is allowed. |
1903.05422 | Francesco Becattini | F. Becattini and D. Rindori (Florence U.) | Extensivity, entropy current, area law and Unruh effect | 12 pages, 1 figure. Published version in Phys Rev D | Phys. Rev. D 99, 125011 (2019) | 10.1103/PhysRevD.99.125011 | null | hep-th gr-qc nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a general method to determine the entropy current of relativistic
matter at local thermodynamic equilibrium in quantum statistical mechanics.
Provided that the local equilibrium operator is bounded from below and its
lowest lying eigenvector is non-degenerate, it is proved that, in general, the
logarithm of the partition function is extensive, meaning that it can be
expressed as the integral over a 3D space-like hypersurface of a vector
current, and that an entropy current exists. We work out a specific calculation
for a non-trivial case of global thermodynamic equilibrium, namely a system
with constant comoving acceleration, whose limiting temperature is the Unruh
temperature. We show that the integral of the entropy current in the right
Rindler wedge is the entanglement entropy.
| [
{
"created": "Wed, 13 Mar 2019 11:39:50 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2019 13:12:29 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jul 2019 15:40:13 GMT",
"version": "v3"
}
] | 2019-07-22 | [
[
"Becattini",
"F.",
"",
"Florence U."
],
[
"Rindori",
"D.",
"",
"Florence U."
]
] | We present a general method to determine the entropy current of relativistic matter at local thermodynamic equilibrium in quantum statistical mechanics. Provided that the local equilibrium operator is bounded from below and its lowest lying eigenvector is non-degenerate, it is proved that, in general, the logarithm of the partition function is extensive, meaning that it can be expressed as the integral over a 3D space-like hypersurface of a vector current, and that an entropy current exists. We work out a specific calculation for a non-trivial case of global thermodynamic equilibrium, namely a system with constant comoving acceleration, whose limiting temperature is the Unruh temperature. We show that the integral of the entropy current in the right Rindler wedge is the entanglement entropy. |
1606.00508 | Fernando Marchesano | Federico Carta, Fernando Marchesano, Wieland Staessens, Gianluca
Zoccarato | Open string multi-branched and Kahler potentials | 60 pages, one figure. v2 minor corrections and references added | null | 10.1007/JHEP09(2016)062 | IFT-UAM/CSIC-16-052 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider type II string compactifications on Calabi-Yau orientifolds with
fluxes and D-branes, and analyse the F-term scalar potential that
simultaneously involves closed and open string modes. In type IIA models with
D6-branes such potential can be directly computed by integrating out Minkowski
three-forms. The result shows a multi-branched structure along the space of
lifted open string moduli, in which discrete shifts in special Lagrangian and
Wilson line deformations are compensated by changes in the RR flux quanta. The
same sort of discrete shift symmetries are present in the superpotential and
constrain the Kahler potential. As for the latter, inclusion of open string
moduli breaks the factorisation between complex structure and Kahler moduli
spaces. Nevertheless, the 4d Kahler metrics display a set of interesting
relations that allow to rederive the scalar potential analytically. Similar
results hold for type IIB flux compactifications with D7-brane Wilson lines.
| [
{
"created": "Thu, 2 Jun 2016 00:01:10 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 11:19:29 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Carta",
"Federico",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Staessens",
"Wieland",
""
],
[
"Zoccarato",
"Gianluca",
""
]
] | We consider type II string compactifications on Calabi-Yau orientifolds with fluxes and D-branes, and analyse the F-term scalar potential that simultaneously involves closed and open string modes. In type IIA models with D6-branes such potential can be directly computed by integrating out Minkowski three-forms. The result shows a multi-branched structure along the space of lifted open string moduli, in which discrete shifts in special Lagrangian and Wilson line deformations are compensated by changes in the RR flux quanta. The same sort of discrete shift symmetries are present in the superpotential and constrain the Kahler potential. As for the latter, inclusion of open string moduli breaks the factorisation between complex structure and Kahler moduli spaces. Nevertheless, the 4d Kahler metrics display a set of interesting relations that allow to rederive the scalar potential analytically. Similar results hold for type IIB flux compactifications with D7-brane Wilson lines. |
1703.01104 | Feng-Li Lin | Sheng-Lan Ko, Feng-Li Lin, Bo Ning | Pseudo-topological Quasi-local Energy of Torsion Gravity | 30 pages; v2. new discussion section on GW added and texts
restructured to match PRD version, but main conclusion remains intact | Phys. Rev. D 96, 044044 (2017) | 10.1103/PhysRevD.96.044044 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Torsion gravity is a natural extension to Einstein gravity in the presence of
the fermion matter sources. In this paper we adopt Wald's covariant method of
Noether charge to construct the quasi-local energy of the
Einstein-Cartan-fermion system, and find that its explicit expression is
formally independent of the coupling constant between torsion and axial
current. This seemingly topological nature is unexpected and is reminiscent of
similar nature of quantum Hall effect and topological insulator. However, the
coupling dependence does enter when evaluating it on-shell, and thus the
topological nature is pseudo. Based on the expression of the quasi-local
energy, we evaluate it for a particular solution on the entanglement wedge and
find the agreement with the holographic relative entropy obtained before. This
shows that the equivalence of these two quantities in the
Einstein-Cartan-fermion system. Moreover, the quasi-local energy in this case
is not always positive definite so that it provides an example of swampland in
torsion gravity. Based on the covariant Noether charge, we also derive the
nonzero fermion effect on Komar angular momentum. The implication of our
results to the tests of torsion gravity in the future gravitational wave
astronomy is also discussed.
| [
{
"created": "Fri, 3 Mar 2017 10:39:20 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Aug 2017 03:03:48 GMT",
"version": "v2"
}
] | 2017-09-06 | [
[
"Ko",
"Sheng-Lan",
""
],
[
"Lin",
"Feng-Li",
""
],
[
"Ning",
"Bo",
""
]
] | Torsion gravity is a natural extension to Einstein gravity in the presence of the fermion matter sources. In this paper we adopt Wald's covariant method of Noether charge to construct the quasi-local energy of the Einstein-Cartan-fermion system, and find that its explicit expression is formally independent of the coupling constant between torsion and axial current. This seemingly topological nature is unexpected and is reminiscent of similar nature of quantum Hall effect and topological insulator. However, the coupling dependence does enter when evaluating it on-shell, and thus the topological nature is pseudo. Based on the expression of the quasi-local energy, we evaluate it for a particular solution on the entanglement wedge and find the agreement with the holographic relative entropy obtained before. This shows that the equivalence of these two quantities in the Einstein-Cartan-fermion system. Moreover, the quasi-local energy in this case is not always positive definite so that it provides an example of swampland in torsion gravity. Based on the covariant Noether charge, we also derive the nonzero fermion effect on Komar angular momentum. The implication of our results to the tests of torsion gravity in the future gravitational wave astronomy is also discussed. |
2302.04564 | Luciano Petruzziello | Pasquale Bosso, Luciano Petruzziello, Fabian Wagner | The minimal length: a cut-off in disguise? | null | null | 10.1103/PhysRevD.107.126009 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | The minimal-length paradigm, a possible implication of quantum gravity at low
energies, is commonly understood as a phenomenological modification of
Heisenberg's uncertainty relation. We show that this modification is equivalent
to a cut-off in the space conjugate to the position representation, i.e. the
space of wave numbers, which does not necessarily correspond to momentum space.
This result is generalized to several dimensions and noncommutative geometries
once a suitable definition of the wave number is provided. Furthermore, we find
a direct relation between the ensuing bound in wave-number space and the
minimal-length scale. For scenarios in which the existence of the minimal
length cannot be explicitly verified, the proposed framework can be used to
clarify the situation. Indeed, applying it to common models, we find that one
of them does, against all expectations, allow for arbitrary precision in
position measurements. In closing, we comment on general implications of our
findings for the field. In particular, we point out that the minimal length is
purely kinematical such that, effectively, there is only one model of
minimal-length quantum mechanics.
| [
{
"created": "Thu, 9 Feb 2023 11:03:31 GMT",
"version": "v1"
}
] | 2023-06-28 | [
[
"Bosso",
"Pasquale",
""
],
[
"Petruzziello",
"Luciano",
""
],
[
"Wagner",
"Fabian",
""
]
] | The minimal-length paradigm, a possible implication of quantum gravity at low energies, is commonly understood as a phenomenological modification of Heisenberg's uncertainty relation. We show that this modification is equivalent to a cut-off in the space conjugate to the position representation, i.e. the space of wave numbers, which does not necessarily correspond to momentum space. This result is generalized to several dimensions and noncommutative geometries once a suitable definition of the wave number is provided. Furthermore, we find a direct relation between the ensuing bound in wave-number space and the minimal-length scale. For scenarios in which the existence of the minimal length cannot be explicitly verified, the proposed framework can be used to clarify the situation. Indeed, applying it to common models, we find that one of them does, against all expectations, allow for arbitrary precision in position measurements. In closing, we comment on general implications of our findings for the field. In particular, we point out that the minimal length is purely kinematical such that, effectively, there is only one model of minimal-length quantum mechanics. |
hep-th/0112140 | Ysmyung | Y. S. Myung (Inje Univ) | Dynamic dS/CFT correspondence using the brane cosmology | 13 pages, revised version including the new interpretation for energy
terms in the Friedmann equation of the Euclidean space approach to appear in
PLB | Phys.Lett. B531 (2002) 1-8 | 10.1016/S0370-2693(02)01365-5 | INJE-TP-01-10 | hep-th | null | We explore the dynamic dS/CFT correspondence using the moving domain
wall(brane) approach in the brane cosmology. The bulk spacetimes are given by
the Schwarzschild-de Sitter (SdS) black hole and the topological-de Sitter
(TdS) solutions. We consider the embeddings of (Euclidean) moving domain walls
into the (Euclidean) de Sitter spaces. The TdS solution is better to describe
the static dS/CFT correspondence than the SdS black hole, while in the dynamic
dS/CFT correspondence the SdS solution provides situation better than that of
the TdS solution. However, we do not find a desirable cosmological scenario
from the SdS black hole space.
| [
{
"created": "Mon, 17 Dec 2001 01:31:45 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2001 02:13:42 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Feb 2002 22:29:53 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Myung",
"Y. S.",
"",
"Inje Univ"
]
] | We explore the dynamic dS/CFT correspondence using the moving domain wall(brane) approach in the brane cosmology. The bulk spacetimes are given by the Schwarzschild-de Sitter (SdS) black hole and the topological-de Sitter (TdS) solutions. We consider the embeddings of (Euclidean) moving domain walls into the (Euclidean) de Sitter spaces. The TdS solution is better to describe the static dS/CFT correspondence than the SdS black hole, while in the dynamic dS/CFT correspondence the SdS solution provides situation better than that of the TdS solution. However, we do not find a desirable cosmological scenario from the SdS black hole space. |
hep-th/0310265 | Ghazal Geshnizjani | Ghazal Geshnizjani and Robert Brandenberger | Back Reaction Of Perturbations In Two Scalar Field Inflationary Models | 9 pages, no figures | JCAP 0504:006,2005 | 10.1088/1475-7516/2005/04/006 | null | hep-th astro-ph gr-qc | null | We calculate the back-reaction of long wavelength cosmological perturbations
on a general relativistic measure of the local expansion rate of the Universe.
Specifically, we consider a cosmological model in which matter is described by
two scalar matter fields, one being the inflaton and the other one representing
a matter field which is used as a clock. We analyze back-reaction in a phase of
inflaton-driven slow-roll inflation, and find that the leading infrared
back-reaction terms contributing to the evolution of the expansion rate do not
vanish when measured at a fixed value of the clock field. We also analyze the
back-reaction of entropy modes in a specific cosmological model with negative
square mass for the entropy field and find that back-reaction can become
significant. Our work provides evidence that, in general, the back-reaction of
infrared fluctuations could be locally observable.
| [
{
"created": "Wed, 29 Oct 2003 20:00:11 GMT",
"version": "v1"
}
] | 2011-07-18 | [
[
"Geshnizjani",
"Ghazal",
""
],
[
"Brandenberger",
"Robert",
""
]
] | We calculate the back-reaction of long wavelength cosmological perturbations on a general relativistic measure of the local expansion rate of the Universe. Specifically, we consider a cosmological model in which matter is described by two scalar matter fields, one being the inflaton and the other one representing a matter field which is used as a clock. We analyze back-reaction in a phase of inflaton-driven slow-roll inflation, and find that the leading infrared back-reaction terms contributing to the evolution of the expansion rate do not vanish when measured at a fixed value of the clock field. We also analyze the back-reaction of entropy modes in a specific cosmological model with negative square mass for the entropy field and find that back-reaction can become significant. Our work provides evidence that, in general, the back-reaction of infrared fluctuations could be locally observable. |
2207.08938 | Jorge Bellorin | Jorge Bellorin, Claudio Borquez and Byron Droguett | Cancellation of divergences in the nonprojectable Horava theory | v3: Minor corrections on typos and grammar. v2: The paper has been
changed to emphasize the cancellation of divergences | Phys. Rev D 106, 044055 (2022) | 10.1103/PhysRevD.106.044055 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We perform an analysis of the ultraviolet divergences of the quantum
nonprojectable Horava gravity. We work the quantum field theory directly in the
Hamiltonian formalism provided by the Batalin-Fradkin-Vilkovisky quantization.
In this way the second-class constraints can be incorporated to the
quantization. A known local gauge-fixing condition leads to a local canonical
Lagrangian. Although the canonical fields acquire regular propagators,
irregular propagators persist for the field associated to the measure of the
second-class constraints. Loops can be formed with the irregular propagators
producing potentially dangerous subdivergences. We show that all these loops
cancel exactly between them due to a perfect matching between the propagators
and vertices of the fields and ghosts forming the loops. The rest of
divergences behaves similiarly to the projectable theory, they can be removed
by local counterterms. This result points to the renormalization of the
nonprojectable Horava theory.
| [
{
"created": "Mon, 18 Jul 2022 20:49:07 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Aug 2022 16:29:27 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Aug 2022 18:36:12 GMT",
"version": "v3"
}
] | 2022-08-30 | [
[
"Bellorin",
"Jorge",
""
],
[
"Borquez",
"Claudio",
""
],
[
"Droguett",
"Byron",
""
]
] | We perform an analysis of the ultraviolet divergences of the quantum nonprojectable Horava gravity. We work the quantum field theory directly in the Hamiltonian formalism provided by the Batalin-Fradkin-Vilkovisky quantization. In this way the second-class constraints can be incorporated to the quantization. A known local gauge-fixing condition leads to a local canonical Lagrangian. Although the canonical fields acquire regular propagators, irregular propagators persist for the field associated to the measure of the second-class constraints. Loops can be formed with the irregular propagators producing potentially dangerous subdivergences. We show that all these loops cancel exactly between them due to a perfect matching between the propagators and vertices of the fields and ghosts forming the loops. The rest of divergences behaves similiarly to the projectable theory, they can be removed by local counterterms. This result points to the renormalization of the nonprojectable Horava theory. |
1810.11756 | Qiang Wen | Qiang Wen | Towards the generalized gravitational entropy for spacetimes with
non-Lorentz invariant duals | 40pages,16 figures; v2 version improved, a discussion section added,
references added; v3 minor corrections, matching the published version on
JHEP | null | 10.1007/JHEP01(2019)220 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the Lewkowycz-Maldacena prescription and the fine structure analysis
of holographic entanglement proposed in arXiv:1803.05552, we explicitly
calculate the holographic entanglement entropy for warped CFT that duals to
AdS$_3$ with a Dirichlet-Neumann type of boundary conditions. We find that
certain type of null geodesics emanating from the entangling surface
$\partial\mathcal{A}$ relate the field theory UV cutoff and the gravity IR
cutoff. Inspired by the construction, we furthermore propose an intrinsic
prescription to calculate the generalized gravitational entropy for general
spacetimes with non-Lorentz invariant duals. Compared with the RT formula,
there are two main differences. Firstly, instead of requiring that the bulk
extremal surface $\mathcal{E}$ should be anchored on $\partial\mathcal{A}$, we
require the consistency between the boundary and bulk causal structures to
determine the corresponding $\mathcal{E}$. Secondly we use the null geodesics
(or hypersurfaces) emanating from $\partial\mathcal{A}$ and normal to
$\mathcal{E}$ to regulate $\mathcal{E}$ in the bulk. We apply this prescription
to flat space in three dimensions and get the entanglement entropies
straightforwardly.
| [
{
"created": "Sun, 28 Oct 2018 03:27:24 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2019 14:10:57 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jan 2019 02:19:58 GMT",
"version": "v3"
}
] | 2019-02-20 | [
[
"Wen",
"Qiang",
""
]
] | Based on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in arXiv:1803.05552, we explicitly calculate the holographic entanglement entropy for warped CFT that duals to AdS$_3$ with a Dirichlet-Neumann type of boundary conditions. We find that certain type of null geodesics emanating from the entangling surface $\partial\mathcal{A}$ relate the field theory UV cutoff and the gravity IR cutoff. Inspired by the construction, we furthermore propose an intrinsic prescription to calculate the generalized gravitational entropy for general spacetimes with non-Lorentz invariant duals. Compared with the RT formula, there are two main differences. Firstly, instead of requiring that the bulk extremal surface $\mathcal{E}$ should be anchored on $\partial\mathcal{A}$, we require the consistency between the boundary and bulk causal structures to determine the corresponding $\mathcal{E}$. Secondly we use the null geodesics (or hypersurfaces) emanating from $\partial\mathcal{A}$ and normal to $\mathcal{E}$ to regulate $\mathcal{E}$ in the bulk. We apply this prescription to flat space in three dimensions and get the entanglement entropies straightforwardly. |
2308.11706 | Po-Shen Hsin | Clay Cordova, Po-Shen Hsin, Carolyn Zhang | Anomalies of Non-Invertible Symmetries in (3+1)d | 57 pages, 8 figures | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Anomalies of global symmetries are important tools for understanding the
dynamics of quantum systems. We investigate anomalies of non-invertible
symmetries in 3+1d using 4+1d bulk topological quantum field theories given by
Abelian two-form gauge theories, with a 0-form permutation symmetry. Gauging
the 0-form symmetry gives the 4+1d "inflow" symmetry topological field theory
for the non-invertible symmetry. We find a two levels of anomalies: (1) the
bulk may fail to have an appropriate set of loop excitations which can condense
to trivialize the boundary dynamics, and (2) the "Frobenius-Schur indicator" of
the non-invertible symmetry (generalizing the Frobenius-Schur indicator of 1+1d
fusion categories) may be incompatible with trivial boundary dynamics. As a
consequence we derive conditions for non-invertible symmetries in 3+1d to be
compatible with symmetric gapped phases, and invertible gapped phases. Along
the way, we see that the defects characterizing $\mathbb{Z}_{4}$ ordinary
symmetry host worldvolume theories with time-reversal symmetry $\mathsf{T}$
obeying the algebra $\mathsf{T}^{2}=C$ or $\mathsf{T}^{2}=(-1)^{F}C,$ with $C$
a unitary charge conjugation symmetry. We classify the anomalies of this
symmetry algebra in 2+1d and further use these ideas to construct 2+1d
topological orders with non-invertible time-reversal symmetry that permutes
anyons. As a concrete realization of our general discussion, we construct new
lattice Hamiltonian models in 3+1d with non-invertible symmetry, and constrain
their dynamics.
| [
{
"created": "Tue, 22 Aug 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2024 15:08:10 GMT",
"version": "v2"
}
] | 2024-04-23 | [
[
"Cordova",
"Clay",
""
],
[
"Hsin",
"Po-Shen",
""
],
[
"Zhang",
"Carolyn",
""
]
] | Anomalies of global symmetries are important tools for understanding the dynamics of quantum systems. We investigate anomalies of non-invertible symmetries in 3+1d using 4+1d bulk topological quantum field theories given by Abelian two-form gauge theories, with a 0-form permutation symmetry. Gauging the 0-form symmetry gives the 4+1d "inflow" symmetry topological field theory for the non-invertible symmetry. We find a two levels of anomalies: (1) the bulk may fail to have an appropriate set of loop excitations which can condense to trivialize the boundary dynamics, and (2) the "Frobenius-Schur indicator" of the non-invertible symmetry (generalizing the Frobenius-Schur indicator of 1+1d fusion categories) may be incompatible with trivial boundary dynamics. As a consequence we derive conditions for non-invertible symmetries in 3+1d to be compatible with symmetric gapped phases, and invertible gapped phases. Along the way, we see that the defects characterizing $\mathbb{Z}_{4}$ ordinary symmetry host worldvolume theories with time-reversal symmetry $\mathsf{T}$ obeying the algebra $\mathsf{T}^{2}=C$ or $\mathsf{T}^{2}=(-1)^{F}C,$ with $C$ a unitary charge conjugation symmetry. We classify the anomalies of this symmetry algebra in 2+1d and further use these ideas to construct 2+1d topological orders with non-invertible time-reversal symmetry that permutes anyons. As a concrete realization of our general discussion, we construct new lattice Hamiltonian models in 3+1d with non-invertible symmetry, and constrain their dynamics. |
1912.13475 | Thomas T. Dumitrescu | Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator | ${\cal N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions | 41 pages | null | 10.1007/JHEP07(2020)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider conformal and 't Hooft anomalies in six-dimensional ${\cal
N}=(1,0)$ superconformal field theories, focusing on those conformal anomalies
that determine the two- and three-point functions of conserved flavor and
$SU(2)_R$ currents, as well as stress tensors. By analyzing these correlators
in superspace, we explain why the number of independent conformal anomalies is
reduced in supersymmetric theories. For instance, non-supersymmetric CFTs in
six dimensions have three independent conformal $c$-anomalies, which determine
the stress-tensor two- and three-point functions, but in superconformal
theories the three $c$-anomalies are subject to a linear constraint. We also
describe anomaly multiplet relations, which express the conformal anomalies of
a superconformal theory in terms of its 't Hooft anomalies. Following earlier
work on the conformal $a$-anomaly, we argue for these relations by considering
the supersymmetric dilaton effective action on the tensor branch of such a
theory. We illustrate the utility of these anomaly multiplet relations by
presenting exact results for conformal anomalies, and hence current and
stress-tensor correlators, in several interacting examples.
| [
{
"created": "Tue, 31 Dec 2019 18:26:20 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Cordova",
"Clay",
""
],
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Intriligator",
"Kenneth",
""
]
] | We consider conformal and 't Hooft anomalies in six-dimensional ${\cal N}=(1,0)$ superconformal field theories, focusing on those conformal anomalies that determine the two- and three-point functions of conserved flavor and $SU(2)_R$ currents, as well as stress tensors. By analyzing these correlators in superspace, we explain why the number of independent conformal anomalies is reduced in supersymmetric theories. For instance, non-supersymmetric CFTs in six dimensions have three independent conformal $c$-anomalies, which determine the stress-tensor two- and three-point functions, but in superconformal theories the three $c$-anomalies are subject to a linear constraint. We also describe anomaly multiplet relations, which express the conformal anomalies of a superconformal theory in terms of its 't Hooft anomalies. Following earlier work on the conformal $a$-anomaly, we argue for these relations by considering the supersymmetric dilaton effective action on the tensor branch of such a theory. We illustrate the utility of these anomaly multiplet relations by presenting exact results for conformal anomalies, and hence current and stress-tensor correlators, in several interacting examples. |
1004.0789 | Alicja Siwek | Janos Polonyi, Alicja Siwek | Boundary conditions and consistency of effective theories | 8 pages, no figures, to appear in Physical Review D | Phys.Rev.D81:085040,2010 | 10.1103/PhysRevD.81.085040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Effective theories are non-local at the scale of the eliminated heavy
particles modes. The gradient expansion which represents such non-locality must
be truncated to have treatable models. This step leads to the proliferation of
the degrees of freedom which renders the identification of the states of the
effective theory nontrivial. Furthermore it generates non-definite metric in
the Fock space which in turn endangers the unitarity of the effective theory.
It is shown that imposing a generalized KMS boundary conditions for the new
degrees of freedom leads to reflection positivity for a wide class of Euclidean
effective theories, thereby these lead to acceptable theories when extended to
real time.
| [
{
"created": "Tue, 6 Apr 2010 07:34:57 GMT",
"version": "v1"
}
] | 2010-05-12 | [
[
"Polonyi",
"Janos",
""
],
[
"Siwek",
"Alicja",
""
]
] | Effective theories are non-local at the scale of the eliminated heavy particles modes. The gradient expansion which represents such non-locality must be truncated to have treatable models. This step leads to the proliferation of the degrees of freedom which renders the identification of the states of the effective theory nontrivial. Furthermore it generates non-definite metric in the Fock space which in turn endangers the unitarity of the effective theory. It is shown that imposing a generalized KMS boundary conditions for the new degrees of freedom leads to reflection positivity for a wide class of Euclidean effective theories, thereby these lead to acceptable theories when extended to real time. |
2109.01110 | Jihwan Oh | Michele Del Zotto, Jihwan Oh, Yehao Zhou | Evidence for an Algebra of $\boldsymbol{G_2}$ Instantons | 25 pages + Appendices; references added in v2 | null | 10.1007/JHEP08(2022)214 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this short note, we present some evidence towards the existence of an
algebra of BPS $G_2$ instantons. These are instantonic configurations that
govern the partition functions of 7d SYM theories on local $G_2$ holonomy
manifolds $\mathcal X$. To shed light on such structure, we begin investigating
the relation with parent 4d $\mathcal N=1$ theories obtained by geometric
engineering M-theory on $\mathcal X$. The main point of this paper is to
substantiate the following dream: the holomorphic sector of such theories on
multi-centered Taub-NUT spaces gives rise to an algebra whose characters
organise the $G_2$ instanton partition function. As a first step towards this
program, we argue by string duality that a multitude of geometries $\mathcal X$
exist that are dual to well-known 4d SCFTs arising from D3 branes probes of CY
cones: all these models are amenable to analysis along the lines suggested by
Dijkgraaf, Gukov, Neitzke and Vafa in the context of topological M-theory.
Moreover, we discuss an interesting relation to Costello's twisted M-theory,
which arises at local patches, and is a key ingredient in identifying the
relevant algebras.
| [
{
"created": "Thu, 2 Sep 2021 17:34:01 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Mar 2022 17:22:37 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Del Zotto",
"Michele",
""
],
[
"Oh",
"Jihwan",
""
],
[
"Zhou",
"Yehao",
""
]
] | In this short note, we present some evidence towards the existence of an algebra of BPS $G_2$ instantons. These are instantonic configurations that govern the partition functions of 7d SYM theories on local $G_2$ holonomy manifolds $\mathcal X$. To shed light on such structure, we begin investigating the relation with parent 4d $\mathcal N=1$ theories obtained by geometric engineering M-theory on $\mathcal X$. The main point of this paper is to substantiate the following dream: the holomorphic sector of such theories on multi-centered Taub-NUT spaces gives rise to an algebra whose characters organise the $G_2$ instanton partition function. As a first step towards this program, we argue by string duality that a multitude of geometries $\mathcal X$ exist that are dual to well-known 4d SCFTs arising from D3 branes probes of CY cones: all these models are amenable to analysis along the lines suggested by Dijkgraaf, Gukov, Neitzke and Vafa in the context of topological M-theory. Moreover, we discuss an interesting relation to Costello's twisted M-theory, which arises at local patches, and is a key ingredient in identifying the relevant algebras. |
hep-th/0603045 | Jacek Wosiek | G. Veneziano and J. Wosiek | Large N, Supersymmetry ... and QCD | A contribution to the A. Di Giacomo Festschrift: Physics and Beauty,
21 pages, 8 figures | Sense of Beauty in Physics - A volume in honour of Adriano Di
Giacomo, edited by M. D'Elia, K. Konishi, E. Meggiolaro and P. Rossi (Ed.
PLUS, Pisa University Press, 2006) | null | CERN-PH-TH/2006-035, TPJU-1/2006 | hep-th | null | This paper consists of two (still only vaguely) related parts: in the first,
we briefly review work done in the past three years on the ``planar
equivalence" between a class of non-supersymmetric theories (including limiting
cases of QCD) and their corresponding supersymmetric "parents"; in the second,
we present details of a new formulation of planar quantum mechanics and
illustrate its effectiveness in an intriguing supersymmetric example.
| [
{
"created": "Mon, 6 Mar 2006 20:34:26 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Nov 2006 15:41:16 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Veneziano",
"G.",
""
],
[
"Wosiek",
"J.",
""
]
] | This paper consists of two (still only vaguely) related parts: in the first, we briefly review work done in the past three years on the ``planar equivalence" between a class of non-supersymmetric theories (including limiting cases of QCD) and their corresponding supersymmetric "parents"; in the second, we present details of a new formulation of planar quantum mechanics and illustrate its effectiveness in an intriguing supersymmetric example. |
2010.06124 | Kory Stiffler | S. James Gates, Jr., Gabriel Hannon, Rui Xian Siew, and Kory Stiffler | Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in
Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell
Supermultiplet Representations | 40 pages, includes connections to 4D, N=4 Vector Chiral multiplet and
SM-i sub-multiplets, corrected some typos, updated institutional affiliations | null | null | null | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the relationship between holoraumy and Hodge duality beyond four
dimensions. We find this relationship to be ephemeral beyond six dimensions: it
is not demanded by the structure of such supersymmetrical theories. In four
dimensions for the case of the vector-tensor $\cal N$ = 4 multiplet, however,
we show that such a linkage is present. Reduction to 1D theories presents
evidence for a linkage from higher-dimensional supersymmetry to an
infinite-dimensional algebra extending $\mathfrak{Spin}(N)$.
| [
{
"created": "Tue, 13 Oct 2020 02:32:45 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 2021 20:37:08 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Mar 2022 18:52:19 GMT",
"version": "v3"
},
{
"created": "Wed, 11 May 2022 18:21:53 GMT",
"version": "v4"
}
] | 2022-05-13 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Hannon",
"Gabriel",
""
],
[
"Siew",
"Rui Xian",
""
],
[
"Stiffler",
"Kory",
""
]
] | We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor $\cal N$ = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending $\mathfrak{Spin}(N)$. |
hep-th/0302184 | Massimo Giovannini | V. Bozza, M. Giovannini, G. Veneziano | Cosmological Perturbations from a New-Physics Hypersurface | 12 pages; corrected typos in the text; added two references | JCAP0305:001,2003 | 10.1088/1475-7516/2003/05/001 | CERN-TH/2003-041 | hep-th gr-qc hep-ph | null | Within a broad class of inflationary models we critically analyze the way
initial quantum fluctuations on a new-physics hypersurface (NPH) affect
standard predictions for large-scale cosmological perturbations. We find that
these so-called transplanckian effects depend crucially on the definition of
the "vacuum state" in particular on which Hamiltonian is minimized on the NPH
in order to select such a state. Transplanckian effects can be made much
smaller than previously suggested if sufficiently "adiabatic" Hamiltonians are
minimized.
| [
{
"created": "Mon, 24 Feb 2003 08:20:35 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2003 10:47:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bozza",
"V.",
""
],
[
"Giovannini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] | Within a broad class of inflationary models we critically analyze the way initial quantum fluctuations on a new-physics hypersurface (NPH) affect standard predictions for large-scale cosmological perturbations. We find that these so-called transplanckian effects depend crucially on the definition of the "vacuum state" in particular on which Hamiltonian is minimized on the NPH in order to select such a state. Transplanckian effects can be made much smaller than previously suggested if sufficiently "adiabatic" Hamiltonians are minimized. |
1910.09539 | Andrew Lucas | Andrew Lucas | Non-perturbative dynamics of the operator size distribution in the
Sachdev-Ye-Kitaev model | 23 pages. v2: published version | Journal of Mathematical Physics 61, 081901 (2020) | 10.1063/1.5133964 | null | hep-th cond-mat.dis-nn math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove non-perturbative bounds on the time evolution of the probability
distribution of operator size in the $q$-local Sachdev-Ye-Kitaev model with $N$
fermions, for any even integer $q>2$ and any positive even integer $N>2q$. If
the couplings in the Hamiltonian are independent and identically distributed
Rademacher random variables, the infinite temperature many-body Lyapunov
exponent is almost surely finite as $N\rightarrow\infty$. In the limit $q
\rightarrow \infty$, $N\rightarrow \infty$, $q^{6+\delta}/N \rightarrow 0$, the
shape of the size distribution of a growing fermion, obtained by leading order
perturbation calculations in $1/N$ and $1/q$, is similar to a distribution that
locally saturates our constraints. Our proof is not based on Feynman diagram
resummation; instead, we note that the operator size distribution obeys a
continuous time quantum walk with bounded transition rates, to which we apply
concentration bounds from classical probability theory.
| [
{
"created": "Fri, 18 Oct 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 13:48:59 GMT",
"version": "v2"
}
] | 2020-08-06 | [
[
"Lucas",
"Andrew",
""
]
] | We prove non-perturbative bounds on the time evolution of the probability distribution of operator size in the $q$-local Sachdev-Ye-Kitaev model with $N$ fermions, for any even integer $q>2$ and any positive even integer $N>2q$. If the couplings in the Hamiltonian are independent and identically distributed Rademacher random variables, the infinite temperature many-body Lyapunov exponent is almost surely finite as $N\rightarrow\infty$. In the limit $q \rightarrow \infty$, $N\rightarrow \infty$, $q^{6+\delta}/N \rightarrow 0$, the shape of the size distribution of a growing fermion, obtained by leading order perturbation calculations in $1/N$ and $1/q$, is similar to a distribution that locally saturates our constraints. Our proof is not based on Feynman diagram resummation; instead, we note that the operator size distribution obeys a continuous time quantum walk with bounded transition rates, to which we apply concentration bounds from classical probability theory. |
2104.13377 | Shuwei Liu | Shuwei Liu and Beni Yoshida | Soft thermodynamics of gravitational shock wave | 39 pages, 5 figures | null | 10.1103/PhysRevD.105.026003 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The gravitational shock waves have provided crucial insights into
entanglement structures of black holes in the AdS/CFT correspondence. Recent
progress on the soft hair physics suggests that these developments from
holography may also be applicable to geometries beyond negatively curved
spacetime. In this work, we derive a remarkably simple thermodynamic relation
which relates the gravitational shock wave to a microscopic area deformation.
Our treatment is based on the covariant phase space formalism and is applicable
to any Killing horizon in generic static spacetime which is governed by
arbitrary covariant theory of gravity. The central idea is to probe the
gravitational shock wave, which shifts the horizon in the $u$ direction, by the
Noether charge constructed from a vector field which shifts the horizon in the
$v$ direction. As an application, we illustrate its use for the Gauss-Bonnet
gravity. We also derive a simplified form of the gravitational scattering
unitary matrix and show that its leading-order contribution is nothing but the
exponential of the horizon area: $\mathcal{U}=\exp(i \text{Area})$.
| [
{
"created": "Tue, 27 Apr 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jun 2021 02:35:25 GMT",
"version": "v2"
}
] | 2022-01-19 | [
[
"Liu",
"Shuwei",
""
],
[
"Yoshida",
"Beni",
""
]
] | The gravitational shock waves have provided crucial insights into entanglement structures of black holes in the AdS/CFT correspondence. Recent progress on the soft hair physics suggests that these developments from holography may also be applicable to geometries beyond negatively curved spacetime. In this work, we derive a remarkably simple thermodynamic relation which relates the gravitational shock wave to a microscopic area deformation. Our treatment is based on the covariant phase space formalism and is applicable to any Killing horizon in generic static spacetime which is governed by arbitrary covariant theory of gravity. The central idea is to probe the gravitational shock wave, which shifts the horizon in the $u$ direction, by the Noether charge constructed from a vector field which shifts the horizon in the $v$ direction. As an application, we illustrate its use for the Gauss-Bonnet gravity. We also derive a simplified form of the gravitational scattering unitary matrix and show that its leading-order contribution is nothing but the exponential of the horizon area: $\mathcal{U}=\exp(i \text{Area})$. |
2208.13193 | Satoshi Yamaguchi | Satoshi Yamaguchi | SL$(2,\mathbb{Z})$ action on quantum field theories with U(1) subsystem
symmetry | 20 pages. v2: typos corrected. v3: typos corrected, comments added | null | null | OU-HET 1153, YITP-22-86 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider SL$(2,\mathbb{Z})$ action on quantum field theories with U(1)
subsystem symmetry in five dimensions. This is an analog of the
SL$(2,\mathbb{Z})$ action considered in arXiv:hep-th/0307041. We show that the
exotic level 1 BF theory and the exotic level 1 Chern-Simons theories are
trivial and almost trivial, respectively. By using this fact, we define S
operation and T operation. These operations make SL$(2,\mathbb{Z})$ group up to
a possible invertible phase that is unity within the space-times treated in
this paper. We also demonstrate SL$(2,\mathbb{Z})$ action on the $\varphi$
theory as an example.
| [
{
"created": "Sun, 28 Aug 2022 10:19:40 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2022 13:34:47 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jan 2023 06:39:44 GMT",
"version": "v3"
}
] | 2023-01-16 | [
[
"Yamaguchi",
"Satoshi",
""
]
] | We consider SL$(2,\mathbb{Z})$ action on quantum field theories with U(1) subsystem symmetry in five dimensions. This is an analog of the SL$(2,\mathbb{Z})$ action considered in arXiv:hep-th/0307041. We show that the exotic level 1 BF theory and the exotic level 1 Chern-Simons theories are trivial and almost trivial, respectively. By using this fact, we define S operation and T operation. These operations make SL$(2,\mathbb{Z})$ group up to a possible invertible phase that is unity within the space-times treated in this paper. We also demonstrate SL$(2,\mathbb{Z})$ action on the $\varphi$ theory as an example. |
hep-th/0506046 | Roland Friedrich | Robert O. Bauer, Roland M. Friedrich | The Correlator Toolbox, Metrics and Moduli | 3 figures | Nucl.Phys. B733 (2006) 91-103 | 10.1016/j.nuclphysb.2005.10.040 | null | hep-th | null | We discuss the possible set of operators from various boundary conformal
field theories to build meaningful correlators that lead via a Loewner type
procedure to generalisations of SLE($\kappa,\rho$). We also highlight the
necessity of moduli for a consistent kinematic description of these more
general stochastic processes. As an illustration we give a geometric derivation
of $\text{SLE}(\kappa,\rho)$ in terms of conformally invariant random growing
compact subsets of polygons. The parameters $\rho_j$ are related to the
exterior angles of the polygons. We also show that $\text{SLE}(\kappa,\rho)$
can be generated by a Brownian motion in a gravitational background, where the
metric and the Brownian motion are coupled. The metric is obtained as the
pull-back of the Euclidean metric of a fluctuating polygon.
| [
{
"created": "Sun, 5 Jun 2005 20:54:12 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Bauer",
"Robert O.",
""
],
[
"Friedrich",
"Roland M.",
""
]
] | We discuss the possible set of operators from various boundary conformal field theories to build meaningful correlators that lead via a Loewner type procedure to generalisations of SLE($\kappa,\rho$). We also highlight the necessity of moduli for a consistent kinematic description of these more general stochastic processes. As an illustration we give a geometric derivation of $\text{SLE}(\kappa,\rho)$ in terms of conformally invariant random growing compact subsets of polygons. The parameters $\rho_j$ are related to the exterior angles of the polygons. We also show that $\text{SLE}(\kappa,\rho)$ can be generated by a Brownian motion in a gravitational background, where the metric and the Brownian motion are coupled. The metric is obtained as the pull-back of the Euclidean metric of a fluctuating polygon. |
1403.3385 | Erik Panzer | Erik Panzer | Algorithms for the symbolic integration of hyperlogarithms with
applications to Feynman integrals | The described Maple program is supplied in the ancillary files to
this submission and can also be obtained from
http://www.math.hu-berlin.de/~panzer/ | Computer Physics Communications, 188 (2015), pp. 148-166 | 10.1016/j.cpc.2014.10.019 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide algorithms for symbolic integration of hyperlogarithms multiplied
by rational functions, which also include multiple polylogarithms when their
arguments are rational functions. These algorithms are implemented in Maple and
we discuss various applications. In particular, many Feynman integrals can be
computed by this method.
| [
{
"created": "Thu, 13 Mar 2014 19:48:29 GMT",
"version": "v1"
}
] | 2015-01-06 | [
[
"Panzer",
"Erik",
""
]
] | We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss various applications. In particular, many Feynman integrals can be computed by this method. |
hep-th/0204099 | M. G. Jackson | Richard Easther, Brian R. Greene, Mark G. Jackson | Cosmological String Gas on Orbifolds | 14 pages, 8 eps figs | Phys.Rev.D66:023502,2002 | 10.1103/PhysRevD.66.023502 | CU-TP-1043 | hep-th | null | It has long been known that strings wound around incontractible cycles can
play a vital role in cosmology. In particular, in a spacetime with toroidal
spatial hypersurfaces, the dynamics of the winding modes may help yield three
large spatial dimensions. However, toroidal compactifications are
phenomenologically unrealistic. In this paper we therefore take a first step
toward extending these cosmological considerations to $D$-dimensional toroidal
orbifolds. We use numerical simulation to study the timescales over which
"pseudo-wound" strings unwind on these orbifolds with trivial fundamental
group. We show that pseudo-wound strings can persist for many ``Hubble times''
in some of these spaces, suggesting that they may affect the dynamics in the
same way as genuinely wound strings. We also outline some possible extensions
that include higher-dimensional wrapped branes.
| [
{
"created": "Fri, 12 Apr 2002 00:38:47 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2002 06:05:45 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Easther",
"Richard",
""
],
[
"Greene",
"Brian R.",
""
],
[
"Jackson",
"Mark G.",
""
]
] | It has long been known that strings wound around incontractible cycles can play a vital role in cosmology. In particular, in a spacetime with toroidal spatial hypersurfaces, the dynamics of the winding modes may help yield three large spatial dimensions. However, toroidal compactifications are phenomenologically unrealistic. In this paper we therefore take a first step toward extending these cosmological considerations to $D$-dimensional toroidal orbifolds. We use numerical simulation to study the timescales over which "pseudo-wound" strings unwind on these orbifolds with trivial fundamental group. We show that pseudo-wound strings can persist for many ``Hubble times'' in some of these spaces, suggesting that they may affect the dynamics in the same way as genuinely wound strings. We also outline some possible extensions that include higher-dimensional wrapped branes. |
hep-th/9408073 | null | A.Cucchieri, S. Deser and M. Porrati | Tree-Level Unitarity Constraints on the Gravitational Couplings of
Higher-Spin Massive Fields | 12 pages (Latex file, needs FEYNMAN macros), IASSNS-HEP-94/63,
NYU-TH-94/05/01, CERN-TH.7388/94 | Phys.Rev.D51:4543-4549,1995 | 10.1103/PhysRevD.51.4543 | null | hep-th gr-qc | null | We analyse the high-energy behavior of tree-level graviton Compton amplitudes
for particles of mass m and arbitrary spin, concentrating on a combination of
forward amplitudes that will be unaffected by eventual cross- couplings to
other, higher spins. We first show that for any spin larger than 2, tree-level
unitarity is already violated at energies well below the Planck scale M, if m
<< M. We then restore unitarity to this amplitude up to M by adding non-minimal
couplings that depend on the curvature and its derivatives, and modify the
minimal description - including particle gravitational quadrupole moments - at
scales O(1/m).
| [
{
"created": "Fri, 12 Aug 1994 12:59:10 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Aug 1994 13:16:36 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cucchieri",
"A.",
""
],
[
"Deser",
"S.",
""
],
[
"Porrati",
"M.",
""
]
] | We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other, higher spins. We first show that for any spin larger than 2, tree-level unitarity is already violated at energies well below the Planck scale M, if m << M. We then restore unitarity to this amplitude up to M by adding non-minimal couplings that depend on the curvature and its derivatives, and modify the minimal description - including particle gravitational quadrupole moments - at scales O(1/m). |
hep-th/9510128 | Yun Soo Myung | Y.S. Myung(Inje U.), Jin Young Kim(Dongseo U.) | Instability of a two-dimensional extremal black hole | 9 pages 2 figures, RevTeX, to be published in Phys. Rev D, to obtain
gifures contact Author (ysmyung@physics.inje.ac.kr) | Phys.Rev. D53 (1996) 805-807 | 10.1103/PhysRevD.53.805 | INJE-TP-95-5 | hep-th | null | We consider the perturbation of tachyon about the extremal ground state of a
two-dimensional (2D) electrically charged black hole. It is found that the
presenting potential to on-coming tachyonic wave takes a double-humped barrier
well. This allows an exponentially growing mode with respect to time. This
extremal ground state is classically unstable. We conclude that the 2D extremal
electrically charged black hole cannot be a candidate for the stable endpoint
of the Hawking evaporation.
| [
{
"created": "Wed, 18 Oct 1995 08:37:09 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Myung",
"Y. S.",
"",
"Inje U."
],
[
"Kim",
"Jin Young",
"",
"Dongseo U."
]
] | We consider the perturbation of tachyon about the extremal ground state of a two-dimensional (2D) electrically charged black hole. It is found that the presenting potential to on-coming tachyonic wave takes a double-humped barrier well. This allows an exponentially growing mode with respect to time. This extremal ground state is classically unstable. We conclude that the 2D extremal electrically charged black hole cannot be a candidate for the stable endpoint of the Hawking evaporation. |
hep-th/0407219 | Vladimir Miransky | E.V. Gorbar and V.A. Miransky | Relativistic field theories in a magnetic background as noncommutative
field theories | 19 pages, REVTeX4, clarifications added, references added, to appear
in Phys. Rev. D | Phys.Rev. D70 (2004) 105007 | 10.1103/PhysRevD.70.105007 | null | hep-th cond-mat.mes-hall hep-ph | null | We study the connection of the dynamics in relativistic field theories in a
strong magnetic field with the dynamics of noncommutative field theories
(NCFT). As an example, the Nambu-Jona-Lasinio models in spatial dimensions $d
\geq 2$ are considered. We show that this connection is rather sophisticated.
In fact, the corresponding NCFT are different from the conventional ones
considered in the literature. In particular, the UV/IR mixing is absent in
these theories. The reason of that is an inner structure (i.e., dynamical
form-factors) of neutral composites which plays an important role in providing
consistency of the NCFT. An especially interesting case is that for a magnetic
field configuration with the maximal number of independent nonzero tensor
components. In that case, we show that the NCFT are finite for even $d$ and
their dynamics is quasi-(1+1)-dimensional for odd $d$. For even $d$, the NCFT
describe a confinement dynamics of charged particles. The difference between
the dynamics in strong magnetic backgrounds in field theories and that in
string theories is briefly discussed.
| [
{
"created": "Tue, 27 Jul 2004 14:53:04 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2004 19:35:52 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Oct 2004 19:14:43 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Gorbar",
"E. V.",
""
],
[
"Miransky",
"V. A.",
""
]
] | We study the connection of the dynamics in relativistic field theories in a strong magnetic field with the dynamics of noncommutative field theories (NCFT). As an example, the Nambu-Jona-Lasinio models in spatial dimensions $d \geq 2$ are considered. We show that this connection is rather sophisticated. In fact, the corresponding NCFT are different from the conventional ones considered in the literature. In particular, the UV/IR mixing is absent in these theories. The reason of that is an inner structure (i.e., dynamical form-factors) of neutral composites which plays an important role in providing consistency of the NCFT. An especially interesting case is that for a magnetic field configuration with the maximal number of independent nonzero tensor components. In that case, we show that the NCFT are finite for even $d$ and their dynamics is quasi-(1+1)-dimensional for odd $d$. For even $d$, the NCFT describe a confinement dynamics of charged particles. The difference between the dynamics in strong magnetic backgrounds in field theories and that in string theories is briefly discussed. |
hep-th/0405146 | Hirosi Ooguri | Hirosi Ooguri, Andrew Strominger, and Cumrun Vafa | Black Hole Attractors and the Topological String | 32 pages, harvmac | Phys.Rev.D70:106007,2004 | 10.1103/PhysRevD.70.106007 | HUTP-04/A020, CALT-68-2501 | hep-th | null | A simple relationship of the form Z_BH = |Z_top|^2 is conjectured, where Z_BH
is a supersymmetric partition function for a four-dimensional BPS black hole in
a Calabi-Yau compactification of Type II superstring theory and Z_top is a
second-quantized topological string partition function evaluated at the
attractor point in moduli space associated to the black hole charges. Evidence
for the conjecture in a perturbation expansion about large graviphoton charge
is given. The microcanonical ensemble of BPS black holes can be viewed as the
Wigner function associated to the wavefunction defined by the topological
string partition function.
| [
{
"created": "Mon, 17 May 2004 18:23:07 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2004 21:20:42 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
""
],
[
"Strominger",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] | A simple relationship of the form Z_BH = |Z_top|^2 is conjectured, where Z_BH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Z_top is a second-quantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wavefunction defined by the topological string partition function. |
1105.5616 | Samir Mathur | Samir D. Mathur | Effective information loss outside the horizon | 7 pages, Latex, 1 figure (Essay awarded fourth prize in Gravity
Research Foundation essay competition 2011) | null | 10.1007/s10714-011-1206-6 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If a system falls through a black hole horizon, then its information is lost
to an observer at infinity. But we argue that the {\it accessible} information
is lost {\it before} the horizon is crossed. The temperature of the hole limits
information carrying signals from a system that has fallen too close to the
horizon. Extremal holes have T=0, but there is a minimum energy required to
emit a quantum in the short proper time left before the horizon is crossed. If
we attempt to bring the system back to infinity for observation, then
acceleration radiation destroys the information. All three considerations give
a critical distance from the horizon $d\sim \sqrt{r_H\over \Delta E}$, where
$r_H$ is the horizon radius and $\Delta E$ is the energy scale characterizing
the system. For systems in string theory where we pack information as densely
as possible, this acceleration constraint is found to have a geometric
interpretation. These estimates suggest that in theories of gravity we should
measure information not as a quantity contained inside a given system, but in
terms of how much of that information can be reliably accessed by another
observer.
| [
{
"created": "Fri, 27 May 2011 17:27:23 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Mathur",
"Samir D.",
""
]
] | If a system falls through a black hole horizon, then its information is lost to an observer at infinity. But we argue that the {\it accessible} information is lost {\it before} the horizon is crossed. The temperature of the hole limits information carrying signals from a system that has fallen too close to the horizon. Extremal holes have T=0, but there is a minimum energy required to emit a quantum in the short proper time left before the horizon is crossed. If we attempt to bring the system back to infinity for observation, then acceleration radiation destroys the information. All three considerations give a critical distance from the horizon $d\sim \sqrt{r_H\over \Delta E}$, where $r_H$ is the horizon radius and $\Delta E$ is the energy scale characterizing the system. For systems in string theory where we pack information as densely as possible, this acceleration constraint is found to have a geometric interpretation. These estimates suggest that in theories of gravity we should measure information not as a quantity contained inside a given system, but in terms of how much of that information can be reliably accessed by another observer. |
hep-th/0205194 | Itzhak Bars | Itzhak Bars | A Mysterious Zero in AdS(5) x S(5) Supergravity | v3 is in RevTeX format, 18 pages. Section 6 includes a more general
algebraic structure that results in the vanishing of ALL Casimirs. J is
consistently normalized in Eqs.(5) and (46) | Phys.Rev. D66 (2002) 105023 | 10.1103/PhysRevD.66.105023 | CITUSC/02-017 | hep-th | null | It is shown that all the states in AdS(5) x S(5) supergravity have zero
eigenvalue for the all Casimir operators of its symmetry group SU(2,2|4). To
compute this universal zero in supergravity we refine the oscillator methods
for studying the lowest weight unitary representations of SU(N,M|R,S). We solve
the reduction problem when one multiplies an arbitrary number of super
doubletons. This enters in the computation of the quadratic Casimir eigenvalues
of the lowest weight representations. We apply the results to SU(2,2|4) that
classifies the Kaluza-Klein towers of ten dimensional type IIB supergravity
compactified on AdS(5) x S(5). We show that the vanishing of the SU(2,2|4)
Casimir eigenvalues for all the states is indeed a group theoretical fact in
AdS(5) x S(5) supergravity. By the AdS-CFT correspondence, it is also a fact
for gauge invariant states of super Yang-Mills theory with four supersymmetries
in four dimensions. This non-trivial and mysterious zero is very interesting
because it is predicted as a straightforward consequence of the fundamental
local Sp(2) symmetry in 2T-physics. Via the 2T-physics explanation of this zero
we find a global indication that this special supergravity hides a twelve
dimensional structure with (10,2) signature.
| [
{
"created": "Mon, 20 May 2002 03:09:43 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Aug 2002 09:13:01 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Aug 2002 04:18:09 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Bars",
"Itzhak",
""
]
] | It is shown that all the states in AdS(5) x S(5) supergravity have zero eigenvalue for the all Casimir operators of its symmetry group SU(2,2|4). To compute this universal zero in supergravity we refine the oscillator methods for studying the lowest weight unitary representations of SU(N,M|R,S). We solve the reduction problem when one multiplies an arbitrary number of super doubletons. This enters in the computation of the quadratic Casimir eigenvalues of the lowest weight representations. We apply the results to SU(2,2|4) that classifies the Kaluza-Klein towers of ten dimensional type IIB supergravity compactified on AdS(5) x S(5). We show that the vanishing of the SU(2,2|4) Casimir eigenvalues for all the states is indeed a group theoretical fact in AdS(5) x S(5) supergravity. By the AdS-CFT correspondence, it is also a fact for gauge invariant states of super Yang-Mills theory with four supersymmetries in four dimensions. This non-trivial and mysterious zero is very interesting because it is predicted as a straightforward consequence of the fundamental local Sp(2) symmetry in 2T-physics. Via the 2T-physics explanation of this zero we find a global indication that this special supergravity hides a twelve dimensional structure with (10,2) signature. |
1411.5927 | Juan Manuel Romero | Alejandro Gaona, Juan M. Romero | Hamiltonian analysis for Lifshitz type Fields | Accepted for publication in Mod.Phys.Lett. A | Mod. Phys. Lett. A, Vol. 30, No. 5 (2015) 1550018 | 10.1142/S0217732315500182 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the Dirac Method, we study the Hamiltonian consistency for three field
theories. First we study the electrodynamics a la Ho\v{r}ava and we show that
this system is consistent for an arbitrary dynamical exponent $z.$ Second, we
study a Lifshitz type electrodynamics, which was proposed in [1]. For this last
system we found that the canonical momentum and the electrical field are
related through a Proca type Green function, however this system is consistent.
In addition, we show that the anisotropic Yang-Mills theory with dynamical
exponent $z=2$ is consistent. Finally, we study a generalized anisotropic
Yang-Mills theory and we show that this last system is consistent too.
| [
{
"created": "Fri, 21 Nov 2014 15:57:56 GMT",
"version": "v1"
}
] | 2015-01-30 | [
[
"Gaona",
"Alejandro",
""
],
[
"Romero",
"Juan M.",
""
]
] | Using the Dirac Method, we study the Hamiltonian consistency for three field theories. First we study the electrodynamics a la Ho\v{r}ava and we show that this system is consistent for an arbitrary dynamical exponent $z.$ Second, we study a Lifshitz type electrodynamics, which was proposed in [1]. For this last system we found that the canonical momentum and the electrical field are related through a Proca type Green function, however this system is consistent. In addition, we show that the anisotropic Yang-Mills theory with dynamical exponent $z=2$ is consistent. Finally, we study a generalized anisotropic Yang-Mills theory and we show that this last system is consistent too. |
1405.4999 | Hisayoshi Muraki | T. Asakawa, H. Muraki, S. Sasa and S. Watamura | Generalized geometry and nonlinear realization of generalized
diffeomorphism on D-brane effective action | 6 pages, based on talk given by S.W. at the Workshop on
Noncommutative Field Theory and Gravity, Corfu, Greece, September 8-15, 2013 | null | 10.1002/prop.201400036 | TU-968 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The characterization of the DBI action of a Dp-brane using the generalized
geometry is discussed. It is shown that the DBI action is invariant under the
diffeomorphism and B-transformation of the generalized tangent bundle of the
target space. The symmetry is realized non-linearly on the fluctuation of the
D-brane.
| [
{
"created": "Tue, 20 May 2014 09:09:40 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Asakawa",
"T.",
""
],
[
"Muraki",
"H.",
""
],
[
"Sasa",
"S.",
""
],
[
"Watamura",
"S.",
""
]
] | The characterization of the DBI action of a Dp-brane using the generalized geometry is discussed. It is shown that the DBI action is invariant under the diffeomorphism and B-transformation of the generalized tangent bundle of the target space. The symmetry is realized non-linearly on the fluctuation of the D-brane. |
1712.05415 | Antoine Bourget | Antoine Bourget and Jan Troost | The Conformal Characters | 41 pages, many figures | null | 10.1007/JHEP04(2018)055 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the study of the multiplets of the conformal algebra in any
dimension. The theory of highest weight representations is reviewed in the
context of the Bernstein-Gelfand-Gelfand category of modules. The
Kazhdan-Lusztig polynomials code the relation between the Verma modules and the
irreducible modules in the category and are the key to the characters of the
conformal multiplets (whether finite dimensional, infinite dimensional, unitary
or non-unitary). We discuss the representation theory and review in full
generality which representations are unitarizable. The mathematical theory that
allows for both the general treatment of characters and the full analysis of
unitarity is made accessible. A good understanding of the mathematics of
conformal multiplets renders the treatment of all highest weight
representations in any dimension uniform, and provides an overarching
comprehension of case-by-case results. Unitary highest weight representations
and their characters are classified and computed in terms of data associated to
cosets of the Weyl group of the conformal algebra. An executive summary is
provided, as well as look-up tables up to and including rank four.
| [
{
"created": "Thu, 14 Dec 2017 19:00:13 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Apr 2018 10:41:28 GMT",
"version": "v2"
}
] | 2018-05-09 | [
[
"Bourget",
"Antoine",
""
],
[
"Troost",
"Jan",
""
]
] | We revisit the study of the multiplets of the conformal algebra in any dimension. The theory of highest weight representations is reviewed in the context of the Bernstein-Gelfand-Gelfand category of modules. The Kazhdan-Lusztig polynomials code the relation between the Verma modules and the irreducible modules in the category and are the key to the characters of the conformal multiplets (whether finite dimensional, infinite dimensional, unitary or non-unitary). We discuss the representation theory and review in full generality which representations are unitarizable. The mathematical theory that allows for both the general treatment of characters and the full analysis of unitarity is made accessible. A good understanding of the mathematics of conformal multiplets renders the treatment of all highest weight representations in any dimension uniform, and provides an overarching comprehension of case-by-case results. Unitary highest weight representations and their characters are classified and computed in terms of data associated to cosets of the Weyl group of the conformal algebra. An executive summary is provided, as well as look-up tables up to and including rank four. |
1502.00655 | Stephan Stieberger | Stephan Stieberger and Tomasz R. Taylor | Graviton Amplitudes from Collinear Limits of Gauge Amplitudes | 7 pages, harvmac | null | 10.1016/j.physletb.2015.03.053 | MPP-2015-001 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We express all tree-level graviton amplitudes in Einstein's gravity as the
collinear limits of a linear combination of pure Yang-Mills amplitudes in which
each graviton is represented by two gauge bosons, each of them carrying exactly
one half of graviton's momentum and helicity.
| [
{
"created": "Mon, 2 Feb 2015 21:38:00 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Stieberger",
"Stephan",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] | We express all tree-level graviton amplitudes in Einstein's gravity as the collinear limits of a linear combination of pure Yang-Mills amplitudes in which each graviton is represented by two gauge bosons, each of them carrying exactly one half of graviton's momentum and helicity. |
1208.2364 | Carlos A. S. Almeida | Jose Euclides G. Silva, Victor Santos, and C. A. S. Almeida | Gravity localization in a string-cigar braneworld | 20 pages, 6 figures. We include new discussion about gravitational
perturbation analysis and some new references. Results unchanged. Version to
appear in Classical and Quantum Gravity | Class. Quantum Grav. 30 (2013) 025005 | 10.1088/0264-9381/30/2/025005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We proposed a six dimensional string-like braneworld built from a warped
product between a 3-brane and the Hamilton cigar soliton space, the
string-cigar braneworld. This transverse manifold is a well-known steady
solution of the Ricci flow equation that describes the evolution of a manifold.
The resulting bulk is an interior and exterior metric for a thick string. This
is a physical and feasible scenario since the source satisfies the dominant
energy condition. It is possible to realize the geometric flow as a result of
variations of the matter content of the brane, actually, as its tensions.
Furthermore, the Ricci flow defines a family of string-like branes and we
studied the effects that the evolution of the transverse space has on the
geometric and physical quantities. The geometric flow makes the cosmological
constant and the relationship between the Planck masses evolves. The
gravitational massless mode remains trapped to the brane and the width of the
mode depends on the evolution parameter. For the Kaluza-Klein modes, the
asymptotic spectrum of mass is the same as for the thin string-like brane and
the analogue Schroedinger potential also changes according to the flow.
| [
{
"created": "Sat, 11 Aug 2012 16:39:15 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2012 19:40:26 GMT",
"version": "v2"
}
] | 2012-12-21 | [
[
"Silva",
"Jose Euclides G.",
""
],
[
"Santos",
"Victor",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | We proposed a six dimensional string-like braneworld built from a warped product between a 3-brane and the Hamilton cigar soliton space, the string-cigar braneworld. This transverse manifold is a well-known steady solution of the Ricci flow equation that describes the evolution of a manifold. The resulting bulk is an interior and exterior metric for a thick string. This is a physical and feasible scenario since the source satisfies the dominant energy condition. It is possible to realize the geometric flow as a result of variations of the matter content of the brane, actually, as its tensions. Furthermore, the Ricci flow defines a family of string-like branes and we studied the effects that the evolution of the transverse space has on the geometric and physical quantities. The geometric flow makes the cosmological constant and the relationship between the Planck masses evolves. The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter. For the Kaluza-Klein modes, the asymptotic spectrum of mass is the same as for the thin string-like brane and the analogue Schroedinger potential also changes according to the flow. |
hep-th/0407254 | Luis Gonzalez-Mestres | Luis Gonzalez-Mestres | Internal Structure of Ultra-High Energy Particles with Lorentz Symmetry
Violation at the Planck Scale | Contributed paper to the 28th International Cosmic Ray Conference,
Tsukuba July - August 2003 | ICRC 2003 Proceedings (July 2003), Session HE 1.4 | null | LAPP-EXP 2003-16 | hep-th | null | Assuming the existence of a local vacuum rest frame (LVRF), and using
suitable algebraic tranformations, the internal structure of ultra-high energy
particles (UHEPs) is studied in the presence of Lorentz symmetry violation
(LSV) at the Planck scale. Violations of the standard Lorentz contraction and
time dilation formulae are made explicit. Dynamics in the rest frame of a UHEP
is worked out and discussed. Phenomenological implications for ultra-high
energy cosmic rays (UHECR), including possible violations of the
Greisen-Zatsepin-Kuzmin GZK) cutoff, are studied for several LSV models.
| [
{
"created": "Thu, 29 Jul 2004 11:20:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gonzalez-Mestres",
"Luis",
""
]
] | Assuming the existence of a local vacuum rest frame (LVRF), and using suitable algebraic tranformations, the internal structure of ultra-high energy particles (UHEPs) is studied in the presence of Lorentz symmetry violation (LSV) at the Planck scale. Violations of the standard Lorentz contraction and time dilation formulae are made explicit. Dynamics in the rest frame of a UHEP is worked out and discussed. Phenomenological implications for ultra-high energy cosmic rays (UHECR), including possible violations of the Greisen-Zatsepin-Kuzmin GZK) cutoff, are studied for several LSV models. |
hep-th/0612283 | Peng Gao | Wu-yen Chuang, Peng Gao | Flux-induced isometry gauging in heterotic strings | 11 pages, no figure | Nucl.Phys.B830:271-277,2010 | 10.1016/j.nuclphysb.2009.12.034 | SU-ITP-06/35, SLAC-PUB-12266, UPR-1171-T | hep-th | null | We study the effect of flux-induced isometry gauging of the scalar manifold
in N=2 heterotic string compactification with gauge fluxes. We show that a
vanishing theorem by Witten provides the protection mechanism. The other
ungauged isometries in hyper moduli space could also be protected, depending on
the gauge bundle structure. We also discuss the related issue in IIB setting
| [
{
"created": "Wed, 27 Dec 2006 22:03:48 GMT",
"version": "v1"
}
] | 2010-03-04 | [
[
"Chuang",
"Wu-yen",
""
],
[
"Gao",
"Peng",
""
]
] | We study the effect of flux-induced isometry gauging of the scalar manifold in N=2 heterotic string compactification with gauge fluxes. We show that a vanishing theorem by Witten provides the protection mechanism. The other ungauged isometries in hyper moduli space could also be protected, depending on the gauge bundle structure. We also discuss the related issue in IIB setting |
0909.1296 | Heng-Yu Chen HYC | Heng-Yu Chen, Koji Hashimoto, Shunji Matsuura | Towards a Holographic Model of Color-Flavor Locking Phase | 1+38 pages, 6 eps figures; typos corrected, acknowledgment and
references added, discussions in sections 3.1 and 4.3 improved | null | 10.1007/JHEP02(2010)104 | MAD-TH-09-07, NSF-KITP-09-172, RIKEN-TH-166 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate a holographic realization of color-flavor locking phase, using
N=4 SU(Nc) SYM coupled to N=2 Nf fundamental hypermultiplets as an example. The
gravity dual consists of Nc D3-branes and Nf D7-branes with world volume gauge
field representing the baryon density. Treating a small number \tilde{N}c << Nc
of D3-branes as Yang-Mills instantons on the D7-branes, we consider possible
potential(s) on their moduli space or equivalently the Higgs branch. We show
that a non-trivial potential can be generated by including the backreaction of
the baryonic density on the D7-branes, this dynamically drives the instantons
(= D3-branes) into dissolution. We interpret this as a color-flavor locking
since the size of the instanton is the squark vev, and study the symmetry
breaking patterns. Extending to finite temperature setup, we demonstrate that
color-flavor locking persists, and the thermal effect provides additional
structures in the phase diagram.
| [
{
"created": "Mon, 7 Sep 2009 17:56:59 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Oct 2009 18:19:27 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Chen",
"Heng-Yu",
""
],
[
"Hashimoto",
"Koji",
""
],
[
"Matsuura",
"Shunji",
""
]
] | We demonstrate a holographic realization of color-flavor locking phase, using N=4 SU(Nc) SYM coupled to N=2 Nf fundamental hypermultiplets as an example. The gravity dual consists of Nc D3-branes and Nf D7-branes with world volume gauge field representing the baryon density. Treating a small number \tilde{N}c << Nc of D3-branes as Yang-Mills instantons on the D7-branes, we consider possible potential(s) on their moduli space or equivalently the Higgs branch. We show that a non-trivial potential can be generated by including the backreaction of the baryonic density on the D7-branes, this dynamically drives the instantons (= D3-branes) into dissolution. We interpret this as a color-flavor locking since the size of the instanton is the squark vev, and study the symmetry breaking patterns. Extending to finite temperature setup, we demonstrate that color-flavor locking persists, and the thermal effect provides additional structures in the phase diagram. |
0705.3608 | Eugen Radu | Eugen Radu, Ya. Shnir and D. H. Tchrakian | d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry | 13 pages, 5 figures; v2: typos corrected, published version | Phys.Lett.B657:246-254,2007 | 10.1016/j.physletb.2007.10.016 | DIAS-STP-07-07 | hep-th gr-qc | null | We construct static, asymptotically flat solutions of SU(2)
Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry.
Both particle-like and black hole solutions are considered for two different
sets of boundary conditions in the Yang--Mills sector, corresponding to
multisolitons and soliton-antisoliton pairs. For gravitating multi-soliton
solutions, we find that their mass per unit charge is lower than the mass of
the corresponding unit charge, spherically symmetric soliton.
| [
{
"created": "Thu, 24 May 2007 16:17:55 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2007 11:34:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Radu",
"Eugen",
""
],
[
"Shnir",
"Ya.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | We construct static, asymptotically flat solutions of SU(2) Einstein-Yang-Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary conditions in the Yang--Mills sector, corresponding to multisolitons and soliton-antisoliton pairs. For gravitating multi-soliton solutions, we find that their mass per unit charge is lower than the mass of the corresponding unit charge, spherically symmetric soliton. |
hep-th/0308090 | Andrey Bytsenko | M. C. B. Abdalla (IFT/UNESP), A. A. Bytsenko (Depto. de Fisica/UEL)
and M. E. X. Guimaraes (IFT/UNESP and Depto. de Matematica/UnB) | Black Hole Entropy Associated with Supersymmetric Sigma Model | 11 pages, no figures, version to appear in the Phys. Rev. D (2003) | Phys.Rev. D68 (2003) 104011 | 10.1103/PhysRevD.68.104011 | null | hep-th | null | By means of an identity that equates elliptic genus partition function of a
supersymmetric sigma model on the $N$-fold symmetric product $S^N X$ of $X$
($S^N X=X^N/S_N$, $S_N$ is the symmetric group of $N$ elements) to the
partition function of a second quantized string theory, we derive the
asymptotic expansion of the partition function as well as the asymptotic for
the degeneracy of spectrum in string theory. The asymptotic expansion for the
state counting reproduces the logarithmic correction to the black hole entropy.
| [
{
"created": "Wed, 13 Aug 2003 20:06:34 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Abdalla",
"M. C. B.",
"",
"IFT/UNESP"
],
[
"Bytsenko",
"A. A.",
"",
"Depto. de Fisica/UEL"
],
[
"Guimaraes",
"M. E. X.",
"",
"IFT/UNESP and Depto. de Matematica/UnB"
]
] | By means of an identity that equates elliptic genus partition function of a supersymmetric sigma model on the $N$-fold symmetric product $S^N X$ of $X$ ($S^N X=X^N/S_N$, $S_N$ is the symmetric group of $N$ elements) to the partition function of a second quantized string theory, we derive the asymptotic expansion of the partition function as well as the asymptotic for the degeneracy of spectrum in string theory. The asymptotic expansion for the state counting reproduces the logarithmic correction to the black hole entropy. |
hep-th/0405259 | Ari Pakman | Dan Israel, Ari Pakman and Jan Troost | D-branes in N=2 Liouville and its mirror | JHEP class, 46 pages, 2 figures. v2: typos corrected, references
addded | Nucl.Phys. B710 (2005) 529-576 | 10.1016/j.nuclphysb.2005.01.014 | LPTENS-04/27, RI-05-04 | hep-th | null | We study D-branes in the mirror pair N=2 Liouville / supersymmetric
SL(2,R)/U(1) coset superconformal field theories. After revisiting the duality
between the two models, we build D0, D1 and D2 branes, on the basis of the
boundary state construction for the Euclidean AdS(3) conformal field theory. We
also construct D0-branes in an orbifold that rotates the angular direction of
the cigar. We show how the poles of correlators associated to localized states
and bulk interactions naturally decouple in the one-point functions of
localized and extended branes. We stress the role played in the analysis of
D-brane spectra by primaries in SL(2,R)/U(1) which are descendents of the
parent theory.
| [
{
"created": "Fri, 28 May 2004 16:46:15 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2005 09:45:42 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Israel",
"Dan",
""
],
[
"Pakman",
"Ari",
""
],
[
"Troost",
"Jan",
""
]
] | We study D-branes in the mirror pair N=2 Liouville / supersymmetric SL(2,R)/U(1) coset superconformal field theories. After revisiting the duality between the two models, we build D0, D1 and D2 branes, on the basis of the boundary state construction for the Euclidean AdS(3) conformal field theory. We also construct D0-branes in an orbifold that rotates the angular direction of the cigar. We show how the poles of correlators associated to localized states and bulk interactions naturally decouple in the one-point functions of localized and extended branes. We stress the role played in the analysis of D-brane spectra by primaries in SL(2,R)/U(1) which are descendents of the parent theory. |
1906.07369 | Rubens R. S. Oliveira | R. R. S. Oliveira | Noninertial and spin effects on the 2D Dirac oscillator in the magnetic
cosmic string background | The present work has as its goal to investigate the influence of
noninertial and spin effects on the relativistic and nonrelativistic quantum
dynamics of the 2D DO in the magnetic cosmic string background | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we analyze the influence of noninertial and spin effects on the
dynamics of the 2D Dirac oscillator in the magnetic cosmic string background.
To model this background, we consider a uniform magnetic field, the
Aharonov-Bohm effect, and a parameter $\eta$ generated by a cosmic string.
Posteriorly, we determine the bound-state solutions of the system: the Dirac
spinor and the relativistic energy spectrum. We verified that this spinor is
written in terms of the generalized Laguerre polynomials and this spectrum
depends on the effective quantum number $N_r$, angular velocity $\Omega$ and
parameter $s$ associated to the noninertial and spin effects, magnetic flux
$\Phi$, cyclotron frequency $\omega_c$, zero-point energy $E_0$, and on the
deficit angle $\eta$. In particular, we note that besides this spectrum to be a
periodic function and asymmetric, its values infinitely increase when $\eta\to
0$ or $N_r=\omega_c=\Omega\to\infty$. We also note that the energies of the
antiparticle with spin down are larger than of the particle with spin up or
down. In the nonrelativistic limit, we get the Schr\"{o}dinger-Pauli oscillator
with two types of couplings: the spin-orbit coupling and the spin-rotation
coupling, and two Hamiltonians: one quantum harmonic oscillator-type and other
Zeeman-type. Finally, we compare our results with other works, where we
verified that our problem generalizes some particular cases of the literature
when $\Omega$, $\omega_c$, $\Phi$, $s$ or $\eta$ are excluded from the system.
| [
{
"created": "Tue, 18 Jun 2019 04:15:43 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Sep 2020 02:56:11 GMT",
"version": "v2"
}
] | 2020-09-15 | [
[
"Oliveira",
"R. R. S.",
""
]
] | In this work, we analyze the influence of noninertial and spin effects on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background. To model this background, we consider a uniform magnetic field, the Aharonov-Bohm effect, and a parameter $\eta$ generated by a cosmic string. Posteriorly, we determine the bound-state solutions of the system: the Dirac spinor and the relativistic energy spectrum. We verified that this spinor is written in terms of the generalized Laguerre polynomials and this spectrum depends on the effective quantum number $N_r$, angular velocity $\Omega$ and parameter $s$ associated to the noninertial and spin effects, magnetic flux $\Phi$, cyclotron frequency $\omega_c$, zero-point energy $E_0$, and on the deficit angle $\eta$. In particular, we note that besides this spectrum to be a periodic function and asymmetric, its values infinitely increase when $\eta\to 0$ or $N_r=\omega_c=\Omega\to\infty$. We also note that the energies of the antiparticle with spin down are larger than of the particle with spin up or down. In the nonrelativistic limit, we get the Schr\"{o}dinger-Pauli oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling, and two Hamiltonians: one quantum harmonic oscillator-type and other Zeeman-type. Finally, we compare our results with other works, where we verified that our problem generalizes some particular cases of the literature when $\Omega$, $\omega_c$, $\Phi$, $s$ or $\eta$ are excluded from the system. |
hep-th/0606216 | Oren Bergman Dr. | Oren Bergman, Gilad Lifschytz | When D-branes Break | 15 pages, 1 figure | null | 10.1016/j.physletb.2006.07.071 | null | hep-th | null | We analyze the possible configurations of D-branes breaking on other
D-branes. We describe these configurations in the context of a brane-antibrane
effective theory in two ways. First as a tachyon configuration representing a
non-trivial bundle over the sphere surrounding the end of the brane a la
Polchinski, and second in terms of tachyon solitons using homotopy theory.
Surprisingly, in some cases there are topologically stable configurations of
broken branes.
| [
{
"created": "Thu, 22 Jun 2006 19:33:35 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Bergman",
"Oren",
""
],
[
"Lifschytz",
"Gilad",
""
]
] | We analyze the possible configurations of D-branes breaking on other D-branes. We describe these configurations in the context of a brane-antibrane effective theory in two ways. First as a tachyon configuration representing a non-trivial bundle over the sphere surrounding the end of the brane a la Polchinski, and second in terms of tachyon solitons using homotopy theory. Surprisingly, in some cases there are topologically stable configurations of broken branes. |
0710.0315 | Cacciatori Sergio | S. Cacciatori, V. Gorini, A. Kamenshchik and U. Moschella | Conservation laws and scattering for de Sitter classical particles | 25 pages, 1 figure | Class.Quant.Grav.25:075008,2008 | 10.1088/0264-9381/25/7/075008 | null | hep-th | null | Starting from an intrinsic geometric characterization of de Sitter timelike
and lightlike geodesics we give a new description of the conserved quantities
associated with classical free particles on the de Sitter manifold. These
quantities allow for a natural discussion of classical pointlike scattering and
decay processes. We also provide an intrinsic definition of energy of a
classical de Sitter particle and discuss its different expressions in various
local coordinate systems and their relations with earlier definitions found in
the literature.
| [
{
"created": "Mon, 1 Oct 2007 15:12:00 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Feb 2008 14:20:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cacciatori",
"S.",
""
],
[
"Gorini",
"V.",
""
],
[
"Kamenshchik",
"A.",
""
],
[
"Moschella",
"U.",
""
]
] | Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their relations with earlier definitions found in the literature. |
1209.2378 | Leopoldo A. Pando Zayas | Sanle Hu, James T. Liu and Leopoldo A. Pando Zayas | Charged Boson Stars in AdS and a Zero Temperature Phase Transition | 5 pages, 6 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically construct charged boson stars in asymptotically AdS spacetime.
We find an intricate phase diagram dominated by solutions whose main matter
contribution are alternately provided by the scalar field or by the gauge
field.
| [
{
"created": "Tue, 11 Sep 2012 17:44:27 GMT",
"version": "v1"
}
] | 2012-09-12 | [
[
"Hu",
"Sanle",
""
],
[
"Liu",
"James T.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | We numerically construct charged boson stars in asymptotically AdS spacetime. We find an intricate phase diagram dominated by solutions whose main matter contribution are alternately provided by the scalar field or by the gauge field. |
hep-th/0612298 | Roberto Tateo | Patrick Dorey, Clare Dunning, Davide Masoero, Junji Suzuki, Roberto
Tateo | Pseudo-differential equations, and the Bethe Ansatz for the classical
Lie algebras | 50 pages, 4 figures. v2: typos corrected, extra numerical results
included | Nucl.Phys.B772:249-289,2007 | 10.1016/j.nuclphysb.2007.02.029 | DCPT-06/41 | hep-th math-ph math.MP | null | The correspondence between ordinary differential equations and Bethe ansatz
equations for integrable lattice models in their continuum limits is
generalised to vertex models related to classical simple Lie algebras. New
families of pseudo-differential equations are proposed, and a link between
specific generalised eigenvalue problems for these equations and the Bethe
ansatz is deduced. The pseudo-differential operators resemble in form the
Miura-transformed Lax operators studied in work on generalised KdV equations,
classical W-algebras and, more recently, in the context of the geometric
Langlands correspondence. Negative-dimension and boundary-condition dualities
are also observed.
| [
{
"created": "Fri, 29 Dec 2006 13:30:12 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2007 13:27:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dorey",
"Patrick",
""
],
[
"Dunning",
"Clare",
""
],
[
"Masoero",
"Davide",
""
],
[
"Suzuki",
"Junji",
""
],
[
"Tateo",
"Roberto",
""
]
] | The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras. New families of pseudo-differential equations are proposed, and a link between specific generalised eigenvalue problems for these equations and the Bethe ansatz is deduced. The pseudo-differential operators resemble in form the Miura-transformed Lax operators studied in work on generalised KdV equations, classical W-algebras and, more recently, in the context of the geometric Langlands correspondence. Negative-dimension and boundary-condition dualities are also observed. |
hep-th/0612021 | Nathan Berkovits | Nathan Berkovits (IFT-UNESP, Sao Paulo) | Explaining Pure Spinor Superspace | Added footnote and references to work of P.S. Howe | null | null | IFT-P.041/2006 | hep-th | null | In the pure spinor formalism for the superstring and supermembrane,
supersymmetric invariants are constructed by integrating over five $\theta$'s
in d=10 and over nine $\theta$'s in d=11. This pure spinor superspace is easily
explained using the superform (or ''ectoplasm'') method developed by Gates and
collaborators, and generalizes the standard chiral superspace in d=4. The
ectoplasm method is also useful for constructing d=10 and d=11 supersymmetric
invariants in curved supergravity backgrounds.
| [
{
"created": "Mon, 4 Dec 2006 15:00:37 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2008 20:15:10 GMT",
"version": "v2"
}
] | 2008-03-26 | [
[
"Berkovits",
"Nathan",
"",
"IFT-UNESP, Sao Paulo"
]
] | In the pure spinor formalism for the superstring and supermembrane, supersymmetric invariants are constructed by integrating over five $\theta$'s in d=10 and over nine $\theta$'s in d=11. This pure spinor superspace is easily explained using the superform (or ''ectoplasm'') method developed by Gates and collaborators, and generalizes the standard chiral superspace in d=4. The ectoplasm method is also useful for constructing d=10 and d=11 supersymmetric invariants in curved supergravity backgrounds. |
2109.10345 | Canxin Shi | Canxin Shi and Jan Plefka | Classical Double Copy of Worldline Quantum Field Theory | 11 pages | null | 10.1103/PhysRevD.105.026007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recently developed worldline quantum field theory (WQFT) formalism for
the classical gravitational scattering of massive bodies is extended to
massive, charged point particles coupling to bi-adjoint scalar field theory,
Yang-Mills theory, and dilaton-gravity. We establish a classical double copy
relation in these WQFTs for classical observables (deflection, radiation). The
bi-adjoint scalar field theory fixes the locality structure of the double copy
from Yang-Mills to dilaton-gravity. Using this the eikonal scattering phase (or
free energy of the WQFT) is computed to next-to-leading order (NLO) in coupling
constants using the double copy as well as directly finding full agreement. We
clarify the relation of our approach to previous studies in the effective field
theory formalism. Finally, the equivalence of the WQFT double copy to the
double copy relation of the classical limit of quantum scattering amplitudes is
shown explicitly up to NLO.
| [
{
"created": "Tue, 21 Sep 2021 17:57:08 GMT",
"version": "v1"
}
] | 2022-01-19 | [
[
"Shi",
"Canxin",
""
],
[
"Plefka",
"Jan",
""
]
] | The recently developed worldline quantum field theory (WQFT) formalism for the classical gravitational scattering of massive bodies is extended to massive, charged point particles coupling to bi-adjoint scalar field theory, Yang-Mills theory, and dilaton-gravity. We establish a classical double copy relation in these WQFTs for classical observables (deflection, radiation). The bi-adjoint scalar field theory fixes the locality structure of the double copy from Yang-Mills to dilaton-gravity. Using this the eikonal scattering phase (or free energy of the WQFT) is computed to next-to-leading order (NLO) in coupling constants using the double copy as well as directly finding full agreement. We clarify the relation of our approach to previous studies in the effective field theory formalism. Finally, the equivalence of the WQFT double copy to the double copy relation of the classical limit of quantum scattering amplitudes is shown explicitly up to NLO. |
1911.11434 | Beatrix M\"uhlmann | Alejandra Castro and Beatrix M\"uhlmann | Gravitational Anomalies in nAdS$_2$/nCFT$_1$ | 40 pages | null | 10.1088/1361-6382/ab8bbb | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the holographic description of the near horizon geometry of the
BTZ black hole in AdS$_3$ gravity, with a gravitational Chern-Simons term
included. After a dimensional reduction of the three dimensional theory, we use
the framework of nAdS$_2$/nCFT$_1$ to describe the near horizon physics. This
setup allows us to contrast the role of the gravitational and conformal anomaly
inherited from AdS$_3$/CFT$_2$ in the symmetry breaking mechanism of
nAdS$_2$/nCFT$_1$. Our results display how boundary conditions in the 3D
spacetime, combined with the gravitational anomaly, affect the holographic
description of the near horizon of the black hole relative to the physics near
the AdS$_3$ boundary.
| [
{
"created": "Tue, 26 Nov 2019 10:05:26 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jan 2020 11:08:37 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Apr 2020 09:56:03 GMT",
"version": "v3"
}
] | 2020-08-26 | [
[
"Castro",
"Alejandra",
""
],
[
"Mühlmann",
"Beatrix",
""
]
] | We revisit the holographic description of the near horizon geometry of the BTZ black hole in AdS$_3$ gravity, with a gravitational Chern-Simons term included. After a dimensional reduction of the three dimensional theory, we use the framework of nAdS$_2$/nCFT$_1$ to describe the near horizon physics. This setup allows us to contrast the role of the gravitational and conformal anomaly inherited from AdS$_3$/CFT$_2$ in the symmetry breaking mechanism of nAdS$_2$/nCFT$_1$. Our results display how boundary conditions in the 3D spacetime, combined with the gravitational anomaly, affect the holographic description of the near horizon of the black hole relative to the physics near the AdS$_3$ boundary. |
hep-th/0406089 | Alfredo Herrera-Aguilar | J.E. Paschalis and A. Herrera-Aguilar | Application of the canonical quantization of systems with curved phase
space to the EMDA theory | 23 pages in latex | J. Phys. Conf. Ser. 24 (2005) 141-150 | 10.1088/1742-6596/24/1/017 | null | hep-th | null | The canonical quantization of dynamical systems with curved phase space
introduced by I.A. Batalin, E.S. Fradkin and T.E. Fradkina is applied to the
four-dimensional Einstein-Maxwell Dilaton-Axion theory. The spherically
symmetric case with radial fields is considered. The Lagrangian density of the
theory in the Einstein frame is written as an expression with first order in
time derivatives of the fields. The phase space is curved due to the nontrivial
interaction of the dilaton with the axion and the electromagnetic fields.
| [
{
"created": "Thu, 10 Jun 2004 11:46:33 GMT",
"version": "v1"
}
] | 2014-05-28 | [
[
"Paschalis",
"J. E.",
""
],
[
"Herrera-Aguilar",
"A.",
""
]
] | The canonical quantization of dynamical systems with curved phase space introduced by I.A. Batalin, E.S. Fradkin and T.E. Fradkina is applied to the four-dimensional Einstein-Maxwell Dilaton-Axion theory. The spherically symmetric case with radial fields is considered. The Lagrangian density of the theory in the Einstein frame is written as an expression with first order in time derivatives of the fields. The phase space is curved due to the nontrivial interaction of the dilaton with the axion and the electromagnetic fields. |
1901.10354 | Enrico Brehm | Enrico M. Brehm, Diptarka Das | On KdV characters in large c CFTs | Two Mathematica notebooks attached, v3: Corrected a sign error, which
allowed us to extend the large c analysis odd KdV charges, too. Additionally
we have corrected a few typos, and added a few references | Phys. Rev. D 101, 086025 (2020) | 10.1103/PhysRevD.101.086025 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional conformal field theories with just Virasoro symmetry are
endowed with integrable structure. We review how to construct the integrable
charges in a two-dimensional conformal field theory and how to relate them to
the charges of quantum Sinh-Gordon theory when c>25. We then explicitly
calculate the single charge characters in the large c limit for all charges and
thereby reveal how their degeneracies grow within one module. This, in
particular, allows us to approximate the characters in the limit of small
chemical potential, which source the respective charges. The latter give us
insights into possible transformation properties of the characters. We also
comment on the full generalized Gibbs ensemble and approximations to pure
states.
| [
{
"created": "Tue, 29 Jan 2019 16:01:12 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Oct 2019 09:31:57 GMT",
"version": "v2"
}
] | 2020-05-05 | [
[
"Brehm",
"Enrico M.",
""
],
[
"Das",
"Diptarka",
""
]
] | Two-dimensional conformal field theories with just Virasoro symmetry are endowed with integrable structure. We review how to construct the integrable charges in a two-dimensional conformal field theory and how to relate them to the charges of quantum Sinh-Gordon theory when c>25. We then explicitly calculate the single charge characters in the large c limit for all charges and thereby reveal how their degeneracies grow within one module. This, in particular, allows us to approximate the characters in the limit of small chemical potential, which source the respective charges. The latter give us insights into possible transformation properties of the characters. We also comment on the full generalized Gibbs ensemble and approximations to pure states. |
hep-th/9211026 | Holger Ewen | Holger Ewen and Oleg Ogievetsky | Jordanian Solutions of Simplex Equations | 6 pages | Lett.Math.Phys. 26 (1992) 307-314 | 10.1007/BF00420240 | MPI-Ph/92-99 | hep-th math.QA | null | We construct for all $N$ a solution of the Frenkel--Moore $N$--simplex
equation which generalizes the $R$--matrix for the Jordanian quantum group.
| [
{
"created": "Wed, 4 Nov 1992 17:44:26 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ewen",
"Holger",
""
],
[
"Ogievetsky",
"Oleg",
""
]
] | We construct for all $N$ a solution of the Frenkel--Moore $N$--simplex equation which generalizes the $R$--matrix for the Jordanian quantum group. |
hep-th/0201139 | Glenn Barnich | G. Barnich, F. Brandt and M. Grigoriev | Seiberg-Witten maps in the context of the antifield formalism | 8 pages, Talk given by G.B. at the RTN meeting ``The Quantum
Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'', Corfu, 13-20 Sept 2001 | Fortsch.Phys. 50 (2002) 825-830 | 10.1002/1521-3978(200209)50:8/9<825::AID-PROP825>3.0.CO;2-V | ULB-TH/01-18 | hep-th | null | The formulation of Seiberg-Witten maps from the point of view of consistent
deformations of gauge theories in the context of the Batalin-Vilkovisky
antifield formalism is reviewed. Some additional remarks on noncommutative
Yang-Mills theory are made.
| [
{
"created": "Thu, 17 Jan 2002 19:40:09 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Barnich",
"G.",
""
],
[
"Brandt",
"F.",
""
],
[
"Grigoriev",
"M.",
""
]
] | The formulation of Seiberg-Witten maps from the point of view of consistent deformations of gauge theories in the context of the Batalin-Vilkovisky antifield formalism is reviewed. Some additional remarks on noncommutative Yang-Mills theory are made. |
hep-th/0106103 | Tsunehide Kuroki | Hikaru Kawai and Tsunehide Kuroki | Strings as Flux Tube and Deconfinement on Branes in Gauge Theories | 14 pages, no figures, references added, v3: minor change | Phys.Lett. B518 (2001) 294-300 | 10.1016/S0370-2693(01)01079-6 | KUNS-1723 | hep-th | null | We propose gauge theories in which the unstable branes and the fundamental
string are realized as classical solutions. While the former are represented by
domain wall like configurations of a scalar field coupled to the gauge field,
the latter is by a confined flux tube in the bulk. It is shown that the
confined flux tube is really a source of the bulk B-field. Our model also
provides a natural scenario of the confinement on the brane in the context of
the open string tachyon condensation. It is also argued that the fundamental
string can be realized as a classical solution in a certain IIB matrix model as
in our model.
| [
{
"created": "Wed, 13 Jun 2001 12:17:01 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2001 11:39:59 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Nov 2001 20:04:32 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kawai",
"Hikaru",
""
],
[
"Kuroki",
"Tsunehide",
""
]
] | We propose gauge theories in which the unstable branes and the fundamental string are realized as classical solutions. While the former are represented by domain wall like configurations of a scalar field coupled to the gauge field, the latter is by a confined flux tube in the bulk. It is shown that the confined flux tube is really a source of the bulk B-field. Our model also provides a natural scenario of the confinement on the brane in the context of the open string tachyon condensation. It is also argued that the fundamental string can be realized as a classical solution in a certain IIB matrix model as in our model. |
2112.10178 | Mojtaba Najafizadeh | Mojtaba Najafizadeh | Off-shell Supersymmetric Continuous Spin Gauge Theory | 32 pages, 3 figures, 1 table; v2: two references added, accepted
version in JHEP | JHEP 02 (2022) 038 | 10.1007/JHEP02(2022)038 | IPM/P-2021/42 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We construct, for the first time, an off-shell supersymmetric continuous spin
gauge theory in 4-dimensional Minkowski spacetime, in both constrained and
unconstrained Lagrangian formulations. As an extension to the on-shell
description [1], we employ an auxiliary field to close the algebra of
supersymmetry transformations off-shell. The 4d $\mathcal{N}=1$ massless
continuous spin supermultiplet is then denoted by $(\mathrm{\Phi}, \mathrm{H}
\,; \mathrm{\Psi})$, comprised of a dynamical and a non-dynamical complex
scalar continuous spin gauge fields $\mathrm{\Phi}$ and $\mathrm{H}$, as well
as a Dirac continuous spin gauge field $\mathrm{\Psi}$. In particular, we
demonstrate that the off-shell continuous spin supermultiplet, in a limit,
reproduces off-shell supersymmetry transformations of the known scalar
supermultiplet $(\,{\scriptstyle 0}\,,\, {\scriptstyle 1/2}\,)$, all
integer-spin supermultiplets $(\,s\,,\, s\, {\scriptstyle +\, 1/2}\,),\,
s\geqslant1$, and all half-integer spin supermultiplets $(\, s\, {\scriptstyle
-\, 1/2}\,,\, s \,\,),\, s\geqslant1$.
| [
{
"created": "Sun, 19 Dec 2021 16:04:04 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2022 19:11:40 GMT",
"version": "v2"
}
] | 2022-02-08 | [
[
"Najafizadeh",
"Mojtaba",
""
]
] | We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1], we employ an auxiliary field to close the algebra of supersymmetry transformations off-shell. The 4d $\mathcal{N}=1$ massless continuous spin supermultiplet is then denoted by $(\mathrm{\Phi}, \mathrm{H} \,; \mathrm{\Psi})$, comprised of a dynamical and a non-dynamical complex scalar continuous spin gauge fields $\mathrm{\Phi}$ and $\mathrm{H}$, as well as a Dirac continuous spin gauge field $\mathrm{\Psi}$. In particular, we demonstrate that the off-shell continuous spin supermultiplet, in a limit, reproduces off-shell supersymmetry transformations of the known scalar supermultiplet $(\,{\scriptstyle 0}\,,\, {\scriptstyle 1/2}\,)$, all integer-spin supermultiplets $(\,s\,,\, s\, {\scriptstyle +\, 1/2}\,),\, s\geqslant1$, and all half-integer spin supermultiplets $(\, s\, {\scriptstyle -\, 1/2}\,,\, s \,\,),\, s\geqslant1$. |
hep-th/9912060 | Martin Gremm | Martin Gremm | Four-dimensional gravity on a thick domain wall | 11 pages, 2 figures, references added | Phys.Lett. B478 (2000) 434-438 | 10.1016/S0370-2693(00)00303-8 | PUPT-1903 | hep-th | null | We consider an especially simple version of a thick domain wall in $AdS$
space and investigate how four-dimensional gravity arises in this context. The
model we consider has the advantage, that the equivalent quantum mechanics
problem can be stated in closed form. The potential in this Schr\"odinger
equation suggests that there could be resonances in the spectrum of the
continuum modes. We demonstrate that there are no such resonances in the model
we consider.
| [
{
"created": "Wed, 8 Dec 1999 23:54:50 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Dec 1999 22:10:40 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gremm",
"Martin",
""
]
] | We consider an especially simple version of a thick domain wall in $AdS$ space and investigate how four-dimensional gravity arises in this context. The model we consider has the advantage, that the equivalent quantum mechanics problem can be stated in closed form. The potential in this Schr\"odinger equation suggests that there could be resonances in the spectrum of the continuum modes. We demonstrate that there are no such resonances in the model we consider. |
0802.3379 | Mairi Sakellariadou | Mairi Sakellariadou | Cosmic Superstrings | 17 pages, Invited Lecture to the Royal Society Discussion Meeting
``Cosmology Meets Condensed Matter'', January 28-29, 2008 | Phil.Trans.Roy.Soc.Lond.A366:2881-2894,2008 | 10.1098/rsta.2008.0068 | null | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmic superstrings are expected to be formed at the end of brane inflation,
within the context of brane-world cosmological models inspired from string
theory. By studying properties of cosmic suprestring networks, and comparing
their phenomenological consequences against observational data, we aim at
pinning down the successful and natural inflationary model and get an insight
into the stringy description of our universe.
| [
{
"created": "Fri, 22 Feb 2008 20:16:53 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sakellariadou",
"Mairi",
""
]
] | Cosmic superstrings are expected to be formed at the end of brane inflation, within the context of brane-world cosmological models inspired from string theory. By studying properties of cosmic suprestring networks, and comparing their phenomenological consequences against observational data, we aim at pinning down the successful and natural inflationary model and get an insight into the stringy description of our universe. |
hep-th/9805131 | Alexandros Kechagias | A. Kehagias | New Type IIB Vacua and their F-Theory Interpretation | 12 pages, latex | Phys.Lett.B435:337-342,1998 | 10.1016/S0370-2693(98)00809-0 | CERN-TH/98157 | hep-th | null | We discuss a D3-D7 system in type IIB string theory. The near-horizon
geometry is described by AdS^5 x X^5 where X^5 is a U(1) bundle over a
Kahler-Einstein complex surface S with positive first Chern class c_1>0. The
surface S can either be P^1 x P^1, P^2 or P_{n_1,...,n_k}, a blow up of P^2 at
k points with 3\leq k\leq 8. The P^2 corresponds to the maximally
supersymmetric AdS^5 x S^5 vacuum while the other cases lead to vacua with less
supersymmetries. In the F-theory context they can be viewed as
compactifications on elliptically fibered almost Fano 3-folds.
| [
{
"created": "Wed, 20 May 1998 23:54:41 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Kehagias",
"A.",
""
]
] | We discuss a D3-D7 system in type IIB string theory. The near-horizon geometry is described by AdS^5 x X^5 where X^5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c_1>0. The surface S can either be P^1 x P^1, P^2 or P_{n_1,...,n_k}, a blow up of P^2 at k points with 3\leq k\leq 8. The P^2 corresponds to the maximally supersymmetric AdS^5 x S^5 vacuum while the other cases lead to vacua with less supersymmetries. In the F-theory context they can be viewed as compactifications on elliptically fibered almost Fano 3-folds. |
hep-th/9303065 | Alvarez | E. Alvarez, J.Cespedes and E. Verdaguer | Quantum properties of the polytopic action in some simple geometries | 14pp,FTUAM 92/42;UABFT 303 | Phys.Lett. B304 (1993) 225-234 | 10.1016/0370-2693(93)90287-R | null | hep-th | null | The partition function corresponding to the "polytopic" action, a new action
for the gravitational interaction which we have proposed recently, is computed
in the simplest two-dimensional geometries of genus zero and one. The
functional integral over the Liouville field is approximated by an ordinary
integral over the constant zero mode. We study the dependence on both the
coupling constant and the cosmological constant, and compare with recent
scaling results in standard 2D quantum gravity.
| [
{
"created": "Wed, 10 Mar 1993 13:59:43 GMT",
"version": "v1"
}
] | 2019-08-17 | [
[
"Alvarez",
"E.",
""
],
[
"Cespedes",
"J.",
""
],
[
"Verdaguer",
"E.",
""
]
] | The partition function corresponding to the "polytopic" action, a new action for the gravitational interaction which we have proposed recently, is computed in the simplest two-dimensional geometries of genus zero and one. The functional integral over the Liouville field is approximated by an ordinary integral over the constant zero mode. We study the dependence on both the coupling constant and the cosmological constant, and compare with recent scaling results in standard 2D quantum gravity. |
2403.09617 | Marco Bochicchio | Marco Bochicchio, Mauro Papinutto, Francesco Scardino | Generating functional of correlators of twist-$2$ operators in
$\mathcal{N} = 1$ SUSY Yang-Mills theory, I | 57 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extending our previous work in pure Yang-Mills (YM) theory, we compute the
generating functional of correlators of collinear twist-$2$ operators that
enter the components of balanced superfields -- i.e., superfields with an equal
number of dotted and undotted indices in their spinor representation -- in
$\mathcal{N} = 1$ SUSY SU($N$) YM theory in Minkowskian and Euclidean
space-time, in the conformal limit and renormalization-group improved form, and
to the leading and next-to-leading order in the large-$N$ expansion. The latter
calculation sets strong UV asymptotic constraints on the nonperturbative
solution of large-$N$ $\mathcal{N} = 1$ SUSY YM theory that may be a pivotal
guide for the search of such a solution.
| [
{
"created": "Thu, 14 Mar 2024 17:54:20 GMT",
"version": "v1"
}
] | 2024-03-15 | [
[
"Bochicchio",
"Marco",
""
],
[
"Papinutto",
"Mauro",
""
],
[
"Scardino",
"Francesco",
""
]
] | Extending our previous work in pure Yang-Mills (YM) theory, we compute the generating functional of correlators of collinear twist-$2$ operators that enter the components of balanced superfields -- i.e., superfields with an equal number of dotted and undotted indices in their spinor representation -- in $\mathcal{N} = 1$ SUSY SU($N$) YM theory in Minkowskian and Euclidean space-time, in the conformal limit and renormalization-group improved form, and to the leading and next-to-leading order in the large-$N$ expansion. The latter calculation sets strong UV asymptotic constraints on the nonperturbative solution of large-$N$ $\mathcal{N} = 1$ SUSY YM theory that may be a pivotal guide for the search of such a solution. |
hep-th/0001062 | Christos Kokorelis | Christos Kokorelis | Gauge and Gravitational Couplings from Modular Orbits in Orbifold
Compactifications | 17 pages, LaTex | Phys.Lett.B477:313-324,2000 | 10.1016/S0370-2693(00)00208-2 | CK-TH-2000-001 | hep-th | null | We discuss the appearance of modular functions at the one-loop gauge and
gravitational couplings in (0,2) non-decomposable N=1 four dimensional orbifold
compactifications of the heterotic string. We define the limits for the
existence of states causing singularities in the moduli space in the
perturbative regime for a generic vacuum of the heterotic string. The "proof"
provides evidence for the explanation of the stringy Higgs effect.
| [
{
"created": "Tue, 11 Jan 2000 14:22:53 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Kokorelis",
"Christos",
""
]
] | We discuss the appearance of modular functions at the one-loop gauge and gravitational couplings in (0,2) non-decomposable N=1 four dimensional orbifold compactifications of the heterotic string. We define the limits for the existence of states causing singularities in the moduli space in the perturbative regime for a generic vacuum of the heterotic string. The "proof" provides evidence for the explanation of the stringy Higgs effect. |
hep-th/0103014 | Fateev Vladimir | V. A. Fateev | Normalization Factors, Reflection Amplitudes and Integrable Systems | 37 pages corrected some typos, two references added | null | null | null | hep-th | null | We calculate normalization factors and reflection amplitudes in the
W-invariant conformal quantum field theories. Using these CFT data we derive
vacuum expectation values of exponential fields in affine Toda theories and
related perturbed conformal field theories. We apply these results to evaluate
explicitly the expectation values of order parameters in the field theories
associated with statistical systems, like XY, Z_n-Ising and Ashkin-Teller
models. The same results are used for the calculation of the asymptotics of
cylindrically symmetric solutions of the classical Toda equations which appear
in topological field theories. The integrable boundary Toda theories are
considered. We derive boundary reflection amplitudes in non-affine case and
boundary one point functions in affine Toda theories. The boundary ground state
energies are cojectured. In the last section we describe the duality properties
and calculate the reflection amplitudes in integrable deformed Toda theories.
| [
{
"created": "Fri, 2 Mar 2001 14:38:32 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2001 15:39:16 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Fateev",
"V. A.",
""
]
] | We calculate normalization factors and reflection amplitudes in the W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the field theories associated with statistical systems, like XY, Z_n-Ising and Ashkin-Teller models. The same results are used for the calculation of the asymptotics of cylindrically symmetric solutions of the classical Toda equations which appear in topological field theories. The integrable boundary Toda theories are considered. We derive boundary reflection amplitudes in non-affine case and boundary one point functions in affine Toda theories. The boundary ground state energies are cojectured. In the last section we describe the duality properties and calculate the reflection amplitudes in integrable deformed Toda theories. |
2305.08155 | Ivan Rybak | I. Yu. Rybak | Abelian-Higgs cosmic strings: effective action and particle radiation | 14 pages, 1 figure | null | null | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilized the duality between massive vector and massive Kalb-Ramond fields
to derive an effective action for Abelian-Higgs cosmic strings. This enabled us
to determine the classically renormalized string tension and facilitate
calculations for back-reaction effects. Additionally, we derived a
comprehensive expression for the energy flux of radiation emitted by
Abelian-Higgs cosmic strings. Applying this equation to a cuspless loop, we
obtained that the loop lifetime is proportional to the square of the loop
length, which is in agreement with field-theory simulations.
| [
{
"created": "Sun, 14 May 2023 13:24:49 GMT",
"version": "v1"
}
] | 2023-05-16 | [
[
"Rybak",
"I. Yu.",
""
]
] | We utilized the duality between massive vector and massive Kalb-Ramond fields to derive an effective action for Abelian-Higgs cosmic strings. This enabled us to determine the classically renormalized string tension and facilitate calculations for back-reaction effects. Additionally, we derived a comprehensive expression for the energy flux of radiation emitted by Abelian-Higgs cosmic strings. Applying this equation to a cuspless loop, we obtained that the loop lifetime is proportional to the square of the loop length, which is in agreement with field-theory simulations. |
hep-th/9411194 | Bernard Leclerc | D. Krob and B. Leclerc | Minor Identities for Quasideterminants and Quantum Determinants | 24 pages tex dialect: LaTex | Commun.Math.Phys. 169 (1995) 1-24 | 10.1007/BF02101594 | LITP94.67 | hep-th math.QA q-alg | null | We present several identities involving quasi-minors of noncommutative
generic matrices. These identities are specialized to quantum matrices,
yielding q-analogues of various classical determinantal formulas.
| [
{
"created": "Sat, 26 Nov 1994 13:29:19 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Krob",
"D.",
""
],
[
"Leclerc",
"B.",
""
]
] | We present several identities involving quasi-minors of noncommutative generic matrices. These identities are specialized to quantum matrices, yielding q-analogues of various classical determinantal formulas. |
hep-th/0110222 | Yoshiaki Tanii | H. Hata and Y. Tanii | Stability of Antisymmetric Tensor Fields of Chern-Simons Type in AdS
Spacetime | 20 pages, LaTeX, minor changes, references added | Nucl.Phys. B624 (2002) 283-298 | 10.1016/S0550-3213(01)00656-3 | STUPP-01-163 | hep-th | null | Stability of massive antisymmetric tensor fields with the Chern-Simons type
action in anti de Sitter spacetime is studied. It is found that there exists a
complete set of solutions whose energy is conserved and positive definite if
the mass is positive. Scalar products of the solutions are shown to be
well-defined and conserved. In contrast to the previously studied scalar field
case there is no other set of stable solutions with a different kind of
boundary condition.
| [
{
"created": "Wed, 24 Oct 2001 16:55:25 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2001 04:03:06 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Oct 2001 09:47:15 GMT",
"version": "v3"
},
{
"created": "Tue, 30 Oct 2001 08:45:57 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Hata",
"H.",
""
],
[
"Tanii",
"Y.",
""
]
] | Stability of massive antisymmetric tensor fields with the Chern-Simons type action in anti de Sitter spacetime is studied. It is found that there exists a complete set of solutions whose energy is conserved and positive definite if the mass is positive. Scalar products of the solutions are shown to be well-defined and conserved. In contrast to the previously studied scalar field case there is no other set of stable solutions with a different kind of boundary condition. |
1601.03011 | Seyed Ali Hosseini Mansoori | Davood Momeni, Seyed Ali Hosseini Mansoori, and Ratbay Myrzakulov | Holographic Complexity in Gauge/String Superconductors | 6 pages | Phys. Lett. B, 756 (2016), 354-357 | 10.1016/j.physletb.2016.03.031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a
holographic complexity for two dimensional holographic superconductors
(gauge/string superconductors) with backreactions. Applying a perturbation
method proposed by Kanno in Ref. \cite{kanno}, we study behaviors of the
complexity for a dual quantum system near critical points. We show that when a
system moves from the normal phase ($T>T_c$) to the superconductor phase
($T<T_c$), the holographic complexity will be divergent.
| [
{
"created": "Tue, 12 Jan 2016 19:49:22 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2016 16:43:37 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jun 2016 13:53:22 GMT",
"version": "v3"
}
] | 2016-06-02 | [
[
"Momeni",
"Davood",
""
],
[
"Mansoori",
"Seyed Ali Hosseini",
""
],
[
"Myrzakulov",
"Ratbay",
""
]
] | Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a holographic complexity for two dimensional holographic superconductors (gauge/string superconductors) with backreactions. Applying a perturbation method proposed by Kanno in Ref. \cite{kanno}, we study behaviors of the complexity for a dual quantum system near critical points. We show that when a system moves from the normal phase ($T>T_c$) to the superconductor phase ($T<T_c$), the holographic complexity will be divergent. |
1912.02810 | Lampros Lamprou | Jan de Boer and Lampros Lamprou | Holographic Order from Modular Chaos | 22 pages + Appendix | null | 10.1007/JHEP06(2020)024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue for an exponential bound characterizing the chaotic properties of
modular Hamiltonian flow of QFT subsystems. In holographic theories, maximal
modular chaos is reflected in the local Poincare symmetry about a
Ryu-Takayanagi surface. Generators of null deformations of the bulk extremal
surface map to modular scrambling modes -positive CFT operators saturating the
bound- and their algebra probes the bulk Riemann curvature, clarifying the
modular Berry curvature proposal of arXiv:1903.04493.
| [
{
"created": "Thu, 5 Dec 2019 18:55:22 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"de Boer",
"Jan",
""
],
[
"Lamprou",
"Lampros",
""
]
] | We argue for an exponential bound characterizing the chaotic properties of modular Hamiltonian flow of QFT subsystems. In holographic theories, maximal modular chaos is reflected in the local Poincare symmetry about a Ryu-Takayanagi surface. Generators of null deformations of the bulk extremal surface map to modular scrambling modes -positive CFT operators saturating the bound- and their algebra probes the bulk Riemann curvature, clarifying the modular Berry curvature proposal of arXiv:1903.04493. |
hep-th/9610188 | Nadja Kutz | Nadja Kutz | Free massive fermions inside the quantum discrete sine-Gordon model | LaTex, 18 pages, 6 figures | Commun.Math.Phys. 204 (1999) 115-136 | 10.1007/s002200050640 | Sfb288 Preprint Nr. 231 | hep-th | null | We extend the notion of space shifts introduced by L. D. Faddeev and A. Yu.
Volkov (Phys. Lett. B 315 (1993)) for certain quantum light cone lattice
equations of sine-Gordon type at root of unity. As a result we obtain a
compatibility equation for the roots of central elements within the algebra of
observables (also called current algebra). The equation which is obtained by
exponentiating these roots is exactly the evolution equation for the "classical
background" as described in V. Bazhanov, A. Bobenko, N. Reshetikhin (Comm.
Math. Phys. 175 (1996)).
As an application for the introduced constructions, a one to one
correspondence between a special case of the quantum light cone lattice
equations of sine-Gordon type and free massive fermions on a lattice as
constructed in Destri and de Vega (Nucl. Phys. B 290 (1987)) is derived.
| [
{
"created": "Thu, 24 Oct 1996 14:40:44 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kutz",
"Nadja",
""
]
] | We extend the notion of space shifts introduced by L. D. Faddeev and A. Yu. Volkov (Phys. Lett. B 315 (1993)) for certain quantum light cone lattice equations of sine-Gordon type at root of unity. As a result we obtain a compatibility equation for the roots of central elements within the algebra of observables (also called current algebra). The equation which is obtained by exponentiating these roots is exactly the evolution equation for the "classical background" as described in V. Bazhanov, A. Bobenko, N. Reshetikhin (Comm. Math. Phys. 175 (1996)). As an application for the introduced constructions, a one to one correspondence between a special case of the quantum light cone lattice equations of sine-Gordon type and free massive fermions on a lattice as constructed in Destri and de Vega (Nucl. Phys. B 290 (1987)) is derived. |
hep-th/9812086 | Kellogg S. Stelle | K.S. Stelle (Imperial College, London) | Domain Walls and the Universe | 11 pages, Latex. To appear in the proceedings of the Conference on
Superfivebranes and Physics in 5+1 Dimensions, Trieste, Italy, 1-3 Apr 1998 | null | null | Imperial/TP/98-99/24 | hep-th | null | D=11 supergravity possesses D=5 Calabi-Yau compactified solutions that may be
identified with the vacua of the Horava-Witten orbifold construction for
M--theory/heterotic duality. The simplest of these solutions naturally involves
two 3-brane domain walls, which may be identified with the orbifold boundary
planes; this solution also possesses an unbroken $\Z_2$ symmetry. Consideration
of nearby excited solutions, truncated to the zero-mode and $\Z_2$ invariant
sector, yields an effective D=4 heterotic theory displaying chirality and N=1,
D=4 supersymmetry.
| [
{
"created": "Thu, 10 Dec 1998 15:23:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Stelle",
"K. S.",
"",
"Imperial College, London"
]
] | D=11 supergravity possesses D=5 Calabi-Yau compactified solutions that may be identified with the vacua of the Horava-Witten orbifold construction for M--theory/heterotic duality. The simplest of these solutions naturally involves two 3-brane domain walls, which may be identified with the orbifold boundary planes; this solution also possesses an unbroken $\Z_2$ symmetry. Consideration of nearby excited solutions, truncated to the zero-mode and $\Z_2$ invariant sector, yields an effective D=4 heterotic theory displaying chirality and N=1, D=4 supersymmetry. |
hep-th/0010027 | Taejin Lee | Taejin Lee | String Field Theory and Perturbative Dynamics of Noncommutative Field
Theory | 9 pages, RevTex, A comment added, new references added | Phys.Lett. B498 (2001) 97-103 | 10.1016/S0370-2693(00)01375-7 | KNU-H016 | hep-th | null | The perturbative dynamics of noncommutative field theory (NCFT) is discussed
from a point view of string field theory. As in the commutative case it is
inevitable to introduce a closed string, which may be described as a bound
state of two noncommutative open strings. We point out that the closed string,
interacting nontrivially with the open string, plays an essential role in the
ultraviolet region. The contribution of the closed string is responsible for
the discrepancy between the NCFT and the string field theory. It clarifies the
controversial issues associated with the ultraviolet/infrared (UV/IR) behaviour
of the perturbative dynamics of the NCFT.
| [
{
"created": "Thu, 5 Oct 2000 15:21:55 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2000 07:20:09 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lee",
"Taejin",
""
]
] | The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two noncommutative open strings. We point out that the closed string, interacting nontrivially with the open string, plays an essential role in the ultraviolet region. The contribution of the closed string is responsible for the discrepancy between the NCFT and the string field theory. It clarifies the controversial issues associated with the ultraviolet/infrared (UV/IR) behaviour of the perturbative dynamics of the NCFT. |
0811.0779 | Klaus Kirsten | S. A. Fulling and K. Kirsten | Comment on: "The Casimir force on a piston in the spacetime with extra
compactified dimensions" [Phys. Lett. B 668 (2008) 72] | 6 pages, 1 figure | Phys.Lett.B671:179-180,2009 | 10.1016/j.physletb.2008.11.037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We offer a clarification of the significance of the indicated paper of H.
Cheng. Cheng's conclusions about the attractive nature of Casimir forces
between parallel plates are valid beyond the particular model in which he
derived them; they are likely to be relevant to other recent literature on the
effects of hidden dimensions on Casimir forces.
| [
{
"created": "Wed, 5 Nov 2008 17:16:50 GMT",
"version": "v1"
}
] | 2009-01-16 | [
[
"Fulling",
"S. A.",
""
],
[
"Kirsten",
"K.",
""
]
] | We offer a clarification of the significance of the indicated paper of H. Cheng. Cheng's conclusions about the attractive nature of Casimir forces between parallel plates are valid beyond the particular model in which he derived them; they are likely to be relevant to other recent literature on the effects of hidden dimensions on Casimir forces. |
hep-th/9903267 | Gregory Moore | Stephen D. Miller and Gregory Moore | Landau-Siegel Zeroes and Black Hole Entropy | 30 pp. harvmac (b), 1 figure. V2: Statement of Theorem 4.1 corrected.
Some clarifications. One reference added. v3: New appendix, by S.D. Miller,
gives proof of Theorem 4.1 | null | null | YCTP-P8-99 | hep-th math.NT | null | There has been some speculation about relations of D-brane models of black
holes to arithmetic. In this note we point out that some of these speculations
have implications for a circle of questions related to the generalized Riemann
hypothesis on the zeroes of Dirichlet $L$-functions.
| [
{
"created": "Wed, 31 Mar 1999 20:53:18 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jun 1999 14:45:41 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Dec 1999 20:12:05 GMT",
"version": "v3"
}
] | 2009-09-25 | [
[
"Miller",
"Stephen D.",
""
],
[
"Moore",
"Gregory",
""
]
] | There has been some speculation about relations of D-brane models of black holes to arithmetic. In this note we point out that some of these speculations have implications for a circle of questions related to the generalized Riemann hypothesis on the zeroes of Dirichlet $L$-functions. |
hep-th/9401052 | null | N.N. Nikolaev (1,2), B.G. Zakharov (1,2) and V.R.Zoller (1,3) ((1)
IKP(Theorie), KFA Juelich, Juelich, Germany, (2) L. D. Landau Institute for
Theoretical Physics, Moscow, Russia, (3) Institute for Theoretical and
Experimental Physics, Moscow, Russia) | The spectrum and solutions of the generalized BFKL equation for total
cross section | 18 pages, 3 figures upon request from
kph154@zam001.zam.kfa-juelich.de | Phys.Lett. B328 (1994) 486-494 | 10.1016/0370-2693(94)91508-3 | Juelich preprint KFA-IKP(Th)-1994-1 | hep-th hep-ph | null | The colour dipole cross section is the principal quantity in the lightcone
$s$-channel description of the diffractive scattering. Recently we have shown
that the dipole cross section satisfies the generalized BFKL equation. In this
paper we discuss properties and solutions of our generalized BFKL equation with
allowance for the finite gluon correlation radius $R_{c}$. The latter is
introduced in a gauge invariant manner. We present estimates of the intercept
of the pomeron and find the asymptotic form of the dipole cross section.
| [
{
"created": "Wed, 12 Jan 1994 19:24:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Nikolaev",
"N. N.",
""
],
[
"Zakharov",
"B. G.",
""
],
[
"Zoller",
"V. R.",
""
]
] | The colour dipole cross section is the principal quantity in the lightcone $s$-channel description of the diffractive scattering. Recently we have shown that the dipole cross section satisfies the generalized BFKL equation. In this paper we discuss properties and solutions of our generalized BFKL equation with allowance for the finite gluon correlation radius $R_{c}$. The latter is introduced in a gauge invariant manner. We present estimates of the intercept of the pomeron and find the asymptotic form of the dipole cross section. |
1409.5961 | Fernando C. Lombardo | C. D. Fosco, F. C. Lombardo, F. D. Mazzitelli | The effect of concurrent geometry and roughness in interacting surfaces | 14 pages, 3 figures | null | 10.1103/PhysRevA.91.022513 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interaction energy between two surfaces, one of them flat, the
other describable as the composition of a small-amplitude corrugation and a
slightly curved, smooth surface. The corrugation, represented by a spatially
random variable, involves Fourier wavelengths shorter than the (local)
curvature radii of the smooth component of the surface. After averaging the
interaction energy over the corrugation distribution, we obtain an expression
which only depends on the smooth component. We then approximate that functional
by means of a derivative expansion, calculating explicitly the leading and
next-to-leading order terms in that approximation scheme. We analyze the
resulting interplay between shape and roughness corrections for some specific
corrugation models in the cases of electrostatic and Casimir interactions.
| [
{
"created": "Sun, 21 Sep 2014 10:12:11 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 2014 20:21:44 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Fosco",
"C. D.",
""
],
[
"Lombardo",
"F. C.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] | We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude corrugation and a slightly curved, smooth surface. The corrugation, represented by a spatially random variable, involves Fourier wavelengths shorter than the (local) curvature radii of the smooth component of the surface. After averaging the interaction energy over the corrugation distribution, we obtain an expression which only depends on the smooth component. We then approximate that functional by means of a derivative expansion, calculating explicitly the leading and next-to-leading order terms in that approximation scheme. We analyze the resulting interplay between shape and roughness corrections for some specific corrugation models in the cases of electrostatic and Casimir interactions. |
hep-th/9205083 | null | HoSeong La | Solitons reduced from Heterotic fivebranes | 14 pages | null | null | CTP-TAMU-36/92 | hep-th | null | In view of the expectation that the solitonic sector of the lower dimensional
world may be originated from the solitonic sector of string theory, various
solitonic solutions are reduced from the heterotic fivebrane solutions in the
ten-dimensional heterotic string theory. These solitons in principle can appear
after proper compactifications, {\it e.g.} toroidal compactifications.
| [
{
"created": "Mon, 25 May 1992 16:48:01 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"La",
"HoSeong",
""
]
] | In view of the expectation that the solitonic sector of the lower dimensional world may be originated from the solitonic sector of string theory, various solitonic solutions are reduced from the heterotic fivebrane solutions in the ten-dimensional heterotic string theory. These solitons in principle can appear after proper compactifications, {\it e.g.} toroidal compactifications. |
1502.00636 | Felix Haehl | Felix M. Haehl, R. Loganayagam, Mukund Rangamani | Adiabatic hydrodynamics: The eightfold way to dissipation | 215 pages, 3 figures. v2: minor changes in Appendix. v3: typos fixed,
refs added. v4: fixed minor mistakes and typos | null | 10.1007/JHEP05(2015)060 | DCPT-15/01 | hep-th cond-mat.stat-mech gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a complete solution to hydrodynamic transport at all orders in the
gradient expansion compatible with the second law constraint. The key new
ingredient we introduce is the notion of adiabaticity, which allows us to take
hydrodynamics off-shell. Adiabatic fluids are such that off-shell dynamics of
the fluid compensates for entropy production. The space of adiabatic fluids is
quite rich, and admits a decomposition into seven distinct classes. Together
with the dissipative class this establishes the eightfold way of hydrodynamic
transport. Furthermore, recent results guarantee that dissipative terms beyond
leading order in the gradient expansion are agnostic of the second law. While
this completes a transport taxonomy, we go on to argue for a new symmetry
principle, an Abelian gauge invariance that guarantees adiabaticity in
hydrodynamics. We suggest that this symmetry is the macroscopic manifestation
of the microscopic KMS invariance. We demonstrate its utility by explicitly
constructing effective actions for adiabatic transport. The theory of adiabatic
fluids, we speculate, provides a useful starting point for a new framework to
describe non-equilibrium dynamics, wherein dissipative effects arise by
Higgsing the Abelian symmetry.
| [
{
"created": "Mon, 2 Feb 2015 21:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2015 20:40:17 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Mar 2015 03:00:53 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Jan 2017 05:28:44 GMT",
"version": "v4"
}
] | 2017-02-01 | [
[
"Haehl",
"Felix M.",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We provide a complete solution to hydrodynamic transport at all orders in the gradient expansion compatible with the second law constraint. The key new ingredient we introduce is the notion of adiabaticity, which allows us to take hydrodynamics off-shell. Adiabatic fluids are such that off-shell dynamics of the fluid compensates for entropy production. The space of adiabatic fluids is quite rich, and admits a decomposition into seven distinct classes. Together with the dissipative class this establishes the eightfold way of hydrodynamic transport. Furthermore, recent results guarantee that dissipative terms beyond leading order in the gradient expansion are agnostic of the second law. While this completes a transport taxonomy, we go on to argue for a new symmetry principle, an Abelian gauge invariance that guarantees adiabaticity in hydrodynamics. We suggest that this symmetry is the macroscopic manifestation of the microscopic KMS invariance. We demonstrate its utility by explicitly constructing effective actions for adiabatic transport. The theory of adiabatic fluids, we speculate, provides a useful starting point for a new framework to describe non-equilibrium dynamics, wherein dissipative effects arise by Higgsing the Abelian symmetry. |
1502.02957 | Gianni Tallarita | Fabrizio Canfora and Gianni Tallarita | $SU(N)$ BPS Monopoles in $\mathcal{M}^2\times S^2$ | 5 figures, 21 pages, minor changes, final version to be published in
Physical Review D | Phys. Rev. D 91, 085033 (2015) | 10.1103/PhysRevD.91.085033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the investigation of BPS saturated t'Hooft-Polyakov monopoles in
$\mathcal{M}^{2}\times S^{2}$ to the general case of $SU(N)$ gauge symmetry.
This geometry causes the resulting $N-1$ coupled non-linear ordinary
differential equations for the $N-1$ monopole profiles to become autonomous.
One can also define a flat limit in which the curvature of the background
metric is arbitrarily small but the simplifications brought in by the geometry
remain. We prove analytically that non-trivial solutions in which the profiles
are not proportional can be found. Moreover, we construct numerical solutions
for $N=2,3$ and 4. The presence of the parameter $N$ allows one to take a
smooth large $N$ limit which greatly simplifies the treatment of the infinite
number of profile function equations. We show that, in this limit, the system
of infinitely many coupled ordinary differential equations for the monopole
profiles reduces to a single two-dimensional non-linear partial differential
equation.
| [
{
"created": "Tue, 10 Feb 2015 15:55:01 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 2015 13:53:15 GMT",
"version": "v2"
}
] | 2015-04-29 | [
[
"Canfora",
"Fabrizio",
""
],
[
"Tallarita",
"Gianni",
""
]
] | We extend the investigation of BPS saturated t'Hooft-Polyakov monopoles in $\mathcal{M}^{2}\times S^{2}$ to the general case of $SU(N)$ gauge symmetry. This geometry causes the resulting $N-1$ coupled non-linear ordinary differential equations for the $N-1$ monopole profiles to become autonomous. One can also define a flat limit in which the curvature of the background metric is arbitrarily small but the simplifications brought in by the geometry remain. We prove analytically that non-trivial solutions in which the profiles are not proportional can be found. Moreover, we construct numerical solutions for $N=2,3$ and 4. The presence of the parameter $N$ allows one to take a smooth large $N$ limit which greatly simplifies the treatment of the infinite number of profile function equations. We show that, in this limit, the system of infinitely many coupled ordinary differential equations for the monopole profiles reduces to a single two-dimensional non-linear partial differential equation. |
hep-th/0303265 | Flavio S. Nogueira | Flavio S. Nogueira and Asle Sudbo | Deconfinement mechanism in three dimensions for gauge fields coupled to
bosonic matter fields with fundamental charge | LaTex, 5 pages, no figures | null | null | null | hep-th cond-mat | null | We propose a mechanism by which electric charges deconfine in an Abelian
Higgs model with matter fields belonging to the fundamental representation of
the gauge group. Kosterlitz-Thouless like recursion relations for a
scale-dependent stiffness parameter and fugacity are given, showing that for a
logarithmic potential between point charges in any dimension, there exists a
stable fixed point at zero fugacity, with a dimensionality dependent universal
jump in the stiffness parameter at the phase transition.
| [
{
"created": "Mon, 31 Mar 2003 16:11:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nogueira",
"Flavio S.",
""
],
[
"Sudbo",
"Asle",
""
]
] | We propose a mechanism by which electric charges deconfine in an Abelian Higgs model with matter fields belonging to the fundamental representation of the gauge group. Kosterlitz-Thouless like recursion relations for a scale-dependent stiffness parameter and fugacity are given, showing that for a logarithmic potential between point charges in any dimension, there exists a stable fixed point at zero fugacity, with a dimensionality dependent universal jump in the stiffness parameter at the phase transition. |
2111.12916 | Mehdi Sadeghi | Mehdi Sadeghi | Non-abelian Einstein-Born-Infeld AdS black brane and color DC
conductivity | 9 Pages, no figure, references added, minor modifications, accepted
by the Indian Journal of Physics | Indian J Phys (2022) | 10.1007/s12648-022-02317-z | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we consider Einstein-Hilbert gravity in the presence of
cosmological constant and non-abelian nonlinear electromagnetic field of
Born-Infeld type which is minimally coupled to gravity. First, black brane
solution of this model is introduced and then color non-abelian DC conductivity
is calculated for this solution by using AdS/CFT duality.
| [
{
"created": "Thu, 25 Nov 2021 05:26:39 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2022 14:08:51 GMT",
"version": "v2"
}
] | 2022-03-11 | [
[
"Sadeghi",
"Mehdi",
""
]
] | In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant and non-abelian nonlinear electromagnetic field of Born-Infeld type which is minimally coupled to gravity. First, black brane solution of this model is introduced and then color non-abelian DC conductivity is calculated for this solution by using AdS/CFT duality. |
1605.01858 | Tobias Henz | Tobias Henz, Jan Martin Pawlowski, Christof Wetterich | Scaling solutions for Dilaton Quantum Gravity | 7 pages, 4 figures | null | 10.1016/j.physletb.2017.01.057 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scaling solutions for the effective action in dilaton quantum gravity are
investigated within the functional renormalization group approach. We find
numerical solutions that connect ultraviolet and infrared fixed points as the
ratio between scalar field and renormalization scale $k$ is varied. In the
Einstein frame the quantum effective action corresponding to the scaling
solutions becomes independent of $k$.
The field equations derived from this effective action can be used directly
for cosmology. Scale symmetry is spontaneously broken by a non-vanishing
cosmological value of the scalar field. For the cosmology corresponding to our
scaling solutions, inflation arises naturally. The effective cosmological
constant becomes dynamical and vanishes asymptotically as time goes to
infinity.
| [
{
"created": "Fri, 6 May 2016 08:32:02 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Henz",
"Tobias",
""
],
[
"Pawlowski",
"Jan Martin",
""
],
[
"Wetterich",
"Christof",
""
]
] | Scaling solutions for the effective action in dilaton quantum gravity are investigated within the functional renormalization group approach. We find numerical solutions that connect ultraviolet and infrared fixed points as the ratio between scalar field and renormalization scale $k$ is varied. In the Einstein frame the quantum effective action corresponding to the scaling solutions becomes independent of $k$. The field equations derived from this effective action can be used directly for cosmology. Scale symmetry is spontaneously broken by a non-vanishing cosmological value of the scalar field. For the cosmology corresponding to our scaling solutions, inflation arises naturally. The effective cosmological constant becomes dynamical and vanishes asymptotically as time goes to infinity. |
hep-th/0407001 | Katherine Benson | Katherine M. Benson, Tom Imbo | Topologically Alice Strings and Monopoles | 2 figures; this paper consolidates preprints hep-th/0304161 and
hep-th/0304162, to appear in Phys. Rev. D | Phys.Rev. D70 (2004) 025005 | 10.1103/PhysRevD.70.025005 | null | hep-th | null | Symmetry breaking can produce ``Alice'' strings, which alter scattered
charges and carry monopole number and charge when twisted into loops. Alice
behavior arises algebraically, when strings obstruct unbroken symmetries -- a
fragile criterion. We give a topological criterion, compelling Alice behavior
or deforming it away. Our criterion, that \pi_o(H) acts nontrivially on
\pi_1(H), links topologically Alice strings to topological monopoles. We twist
topologically Alice loops to form monopoles. We show that Alice strings of
condensed matter systems (nematic liquid crystals, helium 3A, and related
non-chiral Bose condensates and amorphous chiral superconductors) are
topologically Alice, and support fundamental monopole charge when twisted into
loops. Thus they might be observed indirectly, not as strings, but as loop-like
point defects. We describe other models, showing Alice strings failing our
topological criterion; and twisted Alice loops supporting deposited, but not
fundamental, monopole number.
| [
{
"created": "Wed, 30 Jun 2004 21:11:42 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Benson",
"Katherine M.",
""
],
[
"Imbo",
"Tom",
""
]
] | Symmetry breaking can produce ``Alice'' strings, which alter scattered charges and carry monopole number and charge when twisted into loops. Alice behavior arises algebraically, when strings obstruct unbroken symmetries -- a fragile criterion. We give a topological criterion, compelling Alice behavior or deforming it away. Our criterion, that \pi_o(H) acts nontrivially on \pi_1(H), links topologically Alice strings to topological monopoles. We twist topologically Alice loops to form monopoles. We show that Alice strings of condensed matter systems (nematic liquid crystals, helium 3A, and related non-chiral Bose condensates and amorphous chiral superconductors) are topologically Alice, and support fundamental monopole charge when twisted into loops. Thus they might be observed indirectly, not as strings, but as loop-like point defects. We describe other models, showing Alice strings failing our topological criterion; and twisted Alice loops supporting deposited, but not fundamental, monopole number. |
0706.1778 | Sudarshan Ananth | Sudarshan Ananth, Stefan Theisen | KLT relations from the Einstein-Hilbert Lagrangian | 9 pages | Phys.Lett.B652:128-134,2007 | 10.1016/j.physletb.2007.07.003 | AEI-2007-061 | hep-th | null | The Kawai-Lewellen-Tye (KLT) relations derived from string theory tell us
that perturbative gravity amplitudes are the "square" of the corresponding
amplitudes in gauge theory. Starting from the light-cone Lagrangian for pure
gravity we make these relations manifest off-shell, for three- and
four-graviton vertices, at the level of the action.
| [
{
"created": "Wed, 13 Jun 2007 17:31:35 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ananth",
"Sudarshan",
""
],
[
"Theisen",
"Stefan",
""
]
] | The Kawai-Lewellen-Tye (KLT) relations derived from string theory tell us that perturbative gravity amplitudes are the "square" of the corresponding amplitudes in gauge theory. Starting from the light-cone Lagrangian for pure gravity we make these relations manifest off-shell, for three- and four-graviton vertices, at the level of the action. |
hep-th/0703201 | Henriette Elvang | Henriette Elvang, Daniel Z. Freedman, and Hong Liu | From Fake Supergravity to Superstars | 42 pages, 3 figures | JHEP 0712:023,2007 | 10.1088/1126-6708/2007/12/023 | null | hep-th | null | The fake supergravity method is applied to 5-dimensional asymptotically AdS
spacetimes containing gravity coupled to a real scalar and an abelian gauge
field. The motivation is to obtain bulk solutions with R x S^3 symmetry in
order to explore the AdS/CFT correspondence when the boundary gauge theory is
on R x S^3. A fake supergravity action, invariant under local supersymmetry
through linear order in fermion fields, is obtained. The gauge field makes
things more restrictive than in previous applications of fake supergravity
which allowed quite general scalar potentials. Here the superpotential must
take the form W(\phi) ~ exp(-k\phi) + c exp(2\phi/(3k)), and the only freedom
is the choice of the constant k. The fermion transformation rules of fake
supergravity lead to fake Killing spinor equations. From their integrability
conditions, we obtain first order differential equations which we solve
analytically to find singular electrically charged solutions of the Lagrangian
field equations. A Schwarzschild mass term can be added to produce a horizon
which shields the singularity. The solutions, which include "superstars", turn
out to be known in the literature. We compute their holographic parameters.
| [
{
"created": "Thu, 22 Mar 2007 15:06:50 GMT",
"version": "v1"
}
] | 2009-10-08 | [
[
"Elvang",
"Henriette",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Liu",
"Hong",
""
]
] | The fake supergravity method is applied to 5-dimensional asymptotically AdS spacetimes containing gravity coupled to a real scalar and an abelian gauge field. The motivation is to obtain bulk solutions with R x S^3 symmetry in order to explore the AdS/CFT correspondence when the boundary gauge theory is on R x S^3. A fake supergravity action, invariant under local supersymmetry through linear order in fermion fields, is obtained. The gauge field makes things more restrictive than in previous applications of fake supergravity which allowed quite general scalar potentials. Here the superpotential must take the form W(\phi) ~ exp(-k\phi) + c exp(2\phi/(3k)), and the only freedom is the choice of the constant k. The fermion transformation rules of fake supergravity lead to fake Killing spinor equations. From their integrability conditions, we obtain first order differential equations which we solve analytically to find singular electrically charged solutions of the Lagrangian field equations. A Schwarzschild mass term can be added to produce a horizon which shields the singularity. The solutions, which include "superstars", turn out to be known in the literature. We compute their holographic parameters. |
2012.07612 | Yang Zhou | Feiyu Deng, Jinwei Chu, Yang Zhou | Defect extremal surface as the holographic counterpart of Island formula | 30+1 pages, 10 figures | JHEP 03 (2021) 008 | 10.1007/JHEP03(2021)008 | null | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose defect extremal surface as the holographic counterpart of boundary
quantum extremal surface. The defect extremal surface is defined by minimizing
the Ryu-Takayanagi surface corrected by the defect theory. This is particularly
interesting when the RT surface crosses or terminates on the defect. In a
simple set up of AdS/BCFT, we find that the defect extremal surface formula
gives precisely the same results of the boundary quantum extremal surface. We
provide a decomposition procedure of an AdS bulk with a defect brane to see
clearly how Island formula emerges from a brane world system with gravity glued
to a flat space quantum field theory.
| [
{
"created": "Mon, 14 Dec 2020 15:04:15 GMT",
"version": "v1"
}
] | 2021-03-03 | [
[
"Deng",
"Feiyu",
""
],
[
"Chu",
"Jinwei",
""
],
[
"Zhou",
"Yang",
""
]
] | We propose defect extremal surface as the holographic counterpart of boundary quantum extremal surface. The defect extremal surface is defined by minimizing the Ryu-Takayanagi surface corrected by the defect theory. This is particularly interesting when the RT surface crosses or terminates on the defect. In a simple set up of AdS/BCFT, we find that the defect extremal surface formula gives precisely the same results of the boundary quantum extremal surface. We provide a decomposition procedure of an AdS bulk with a defect brane to see clearly how Island formula emerges from a brane world system with gravity glued to a flat space quantum field theory. |
hep-th/0606244 | Sandip P. Trivedi | Dumitru Astefanesei, Kevin Goldstein, Rudra P. Jena, Ashoke Sen and
Sandip P. Trivedi | Rotating Attractors | 47 pages, 4 figures, LaTex, Reference added | JHEP 0610:058,2006 | 10.1088/1126-6708/2006/10/058 | TIFR/TH/06-15, HRI-P-06-06-002 | hep-th | null | We prove that, in a general higher derivative theory of gravity coupled to
abelian gauge fields and neutral scalar fields, the entropy and the near
horizon background of a rotating extremal black hole is obtained by extremizing
an entropy function which depends only on the parameters labeling the near
horizon background and the electric and magnetic charges and angular momentum
carried by the black hole. If the entropy function has a unique extremum then
this extremum must be independent of the asymptotic values of the moduli scalar
fields and the solution exhibits attractor behaviour. If the entropy function
has flat directions then the near horizon background is not uniquely determined
by the extremization equations and could depend on the asymptotic data on the
moduli fields, but the value of the entropy is still independent of this
asymptotic data. We illustrate these results in the context of two derivative
theories of gravity in several examples. These include Kerr black hole,
Kerr-Newman black hole, black holes in Kaluza-Klein theory, and black holes in
toroidally compactified heterotic string theory.
| [
{
"created": "Mon, 26 Jun 2006 06:50:32 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 2006 06:21:08 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Goldstein",
"Kevin",
""
],
[
"Jena",
"Rudra P.",
""
],
[
"Sen",
"Ashoke",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We prove that, in a general higher derivative theory of gravity coupled to abelian gauge fields and neutral scalar fields, the entropy and the near horizon background of a rotating extremal black hole is obtained by extremizing an entropy function which depends only on the parameters labeling the near horizon background and the electric and magnetic charges and angular momentum carried by the black hole. If the entropy function has a unique extremum then this extremum must be independent of the asymptotic values of the moduli scalar fields and the solution exhibits attractor behaviour. If the entropy function has flat directions then the near horizon background is not uniquely determined by the extremization equations and could depend on the asymptotic data on the moduli fields, but the value of the entropy is still independent of this asymptotic data. We illustrate these results in the context of two derivative theories of gravity in several examples. These include Kerr black hole, Kerr-Newman black hole, black holes in Kaluza-Klein theory, and black holes in toroidally compactified heterotic string theory. |
0812.0176 | Michael C. Ogilvie | Michael C. Ogilvie and Peter N. Meisinger | PT Symmetry and QCD: Finite Temperature and Density | 10 figures; invited talk at PHHQP VII, Benasque 2008 | SIGMA 5 (2009), 047, 14 pages | 10.3842/SIGMA.2009.047 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge
theory of the strong interactions, is explored in the context of finite
temperature and density. Two significant problems in QCD are studied: the sign
problem of finite-density QCD, and the problem of confinement. It is proven
that the effective action for heavy quarks at finite density is PT-symmetric.
For the case of 1+1 dimensions, the PT-symmetric Hamiltonian, although not
Hermitian, has real eigenvalues for a range of values of the chemical potential
$\mu$, solving the sign problem for this model. The effective action for heavy
quarks is part of a potentially large class of generalized sine-Gordon models
which are non-Hermitian but are PT-symmetric. Generalized sine-Gordon models
also occur naturally in gauge theories in which magnetic monopoles lead to
confinement. We explore gauge theories where monopoles cause confinement at
arbitrarily high temperatures. Several different classes of monopole gases
exist, with each class leading to different string tension scaling laws. For
one class of monopole gas models, the PT-symmetric affine Toda field theory
emerges naturally as the effective theory. This in turn leads to sine-law
scaling for string tensions, a behavior consistent with lattice simulations.
| [
{
"created": "Sun, 30 Nov 2008 22:00:31 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2009 07:31:42 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Ogilvie",
"Michael C.",
""
],
[
"Meisinger",
"Peter N.",
""
]
] | The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two significant problems in QCD are studied: the sign problem of finite-density QCD, and the problem of confinement. It is proven that the effective action for heavy quarks at finite density is PT-symmetric. For the case of 1+1 dimensions, the PT-symmetric Hamiltonian, although not Hermitian, has real eigenvalues for a range of values of the chemical potential $\mu$, solving the sign problem for this model. The effective action for heavy quarks is part of a potentially large class of generalized sine-Gordon models which are non-Hermitian but are PT-symmetric. Generalized sine-Gordon models also occur naturally in gauge theories in which magnetic monopoles lead to confinement. We explore gauge theories where monopoles cause confinement at arbitrarily high temperatures. Several different classes of monopole gases exist, with each class leading to different string tension scaling laws. For one class of monopole gas models, the PT-symmetric affine Toda field theory emerges naturally as the effective theory. This in turn leads to sine-law scaling for string tensions, a behavior consistent with lattice simulations. |
hep-th/0104142 | Balram Rai | Balram Rai | Dynamics on AdS2 and Enlargement of SL(2,R) to c=1 `cut-off Virasoro
Algebra' | 11 pages, Latex | null | null | IP/BBSR/2000-33 | hep-th | null | We consider the enhancement of SL(2,R) to Virasoro algebra in a system of N
particles on AdS2. We restrict our discussion to the case of non-interacting
particles, and argue that they must be treated as fermions. We find operators
L_n whose commutators on the ground state, |vac>, satisfy relations that are
reminisent of c=1 Virasoro algebra, provided N \geq n \geq -N. Same relations
hold also on the states L_{-k}|vac>, if (N-k) \geq n \geq -(N-k). The
conditions L_n^\dag = L_{-n}, and L_k|vac> = 0 for k \geq 1 are also satisfied.
| [
{
"created": "Tue, 17 Apr 2001 19:21:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rai",
"Balram",
""
]
] | We consider the enhancement of SL(2,R) to Virasoro algebra in a system of N particles on AdS2. We restrict our discussion to the case of non-interacting particles, and argue that they must be treated as fermions. We find operators L_n whose commutators on the ground state, |vac>, satisfy relations that are reminisent of c=1 Virasoro algebra, provided N \geq n \geq -N. Same relations hold also on the states L_{-k}|vac>, if (N-k) \geq n \geq -(N-k). The conditions L_n^\dag = L_{-n}, and L_k|vac> = 0 for k \geq 1 are also satisfied. |
hep-th/9212030 | Andrei Linde | E. A. Bergshoeff, R. Kallosh and T. Ortin | Supersymmetric String Waves | 19 pages, LaTeX, SU-ITP-92-30 and UG-10/92 | Phys.Rev.D47:5444-5452,1993 | 10.1103/PhysRevD.47.5444 | null | hep-th | null | We present plane-wave-type solutions of the lowest order superstring
effective action which have unbroken space-time supersymmetries. They describe
dilaton, axion and gauge fields in a stringy generalization of the Brinkmann
metric. Some conspiracy between the metric and the axion field is required. We
show that there exists a special class of these solutions, for which
$\alpha^\prime$ stringy corrections to the effective on-shell action, to the
equations of motion (and therefore to the solutions themselves), and to the
supersymmetry transformations vanish. We call these solutions supersymmetric
string waves (SSW).
| [
{
"created": "Fri, 4 Dec 1992 06:55:57 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Bergshoeff",
"E. A.",
""
],
[
"Kallosh",
"R.",
""
],
[
"Ortin",
"T.",
""
]
] | We present plane-wave-type solutions of the lowest order superstring effective action which have unbroken space-time supersymmetries. They describe dilaton, axion and gauge fields in a stringy generalization of the Brinkmann metric. Some conspiracy between the metric and the axion field is required. We show that there exists a special class of these solutions, for which $\alpha^\prime$ stringy corrections to the effective on-shell action, to the equations of motion (and therefore to the solutions themselves), and to the supersymmetry transformations vanish. We call these solutions supersymmetric string waves (SSW). |
hep-th/0204052 | Alexandra De Castro | A. De Castro and A. Restuccia | Super Five Brane Hamiltonian and the Chiral Degrees of Freedom | 16 pages, typos corrected | Phys.Rev. D66 (2002) 024037 | 10.1103/PhysRevD.66.024037 | SB/F/299-02 | hep-th | null | We construct the Hamiltonian of the super five brane in terms of its physical
degrees of freedom. It does not depend on the inverse of the induced metric.
Consequently, some singular configurations are physically admissible, implying
an interpretation of the theory as a multiparticle one. The symmetries of the
theory are analyzed from the canonical point of view in terms of the first and
second class constraints. In particular it is shown how the chiral sector may
be canonically reduced to its physical degrees of freedom.
| [
{
"created": "Fri, 5 Apr 2002 01:46:39 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2002 19:35:03 GMT",
"version": "v2"
},
{
"created": "Sat, 4 May 2002 20:29:25 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"De Castro",
"A.",
""
],
[
"Restuccia",
"A.",
""
]
] | We construct the Hamiltonian of the super five brane in terms of its physical degrees of freedom. It does not depend on the inverse of the induced metric. Consequently, some singular configurations are physically admissible, implying an interpretation of the theory as a multiparticle one. The symmetries of the theory are analyzed from the canonical point of view in terms of the first and second class constraints. In particular it is shown how the chiral sector may be canonically reduced to its physical degrees of freedom. |
hep-th/9802030 | Neil G. Turok | S.W. Hawking and Neil Turok | Open Inflation Without False Vacua | 10 pages, compressed and RevTex file with one postscript figure,
openlet1.ps | Phys.Lett. B425 (1998) 25-32 | 10.1016/S0370-2693(98)00234-2 | null | hep-th astro-ph gr-qc hep-ph | null | We show that within the framework of a definite proposal for the initial
conditions for the universe, the Hartle-Hawking `no boundary' proposal, open
inflation is generic and does not require any special properties of the
inflaton potential. In the simplest inflationary models, the semiclassical
approximation to the Euclidean path integral and a minimal anthropic condition
lead to $\Omega_0\approx 0.01$. This number may be increased in models with
more fields or extra dimensions.
| [
{
"created": "Thu, 5 Feb 1998 21:19:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hawking",
"S. W.",
""
],
[
"Turok",
"Neil",
""
]
] | We show that within the framework of a definite proposal for the initial conditions for the universe, the Hartle-Hawking `no boundary' proposal, open inflation is generic and does not require any special properties of the inflaton potential. In the simplest inflationary models, the semiclassical approximation to the Euclidean path integral and a minimal anthropic condition lead to $\Omega_0\approx 0.01$. This number may be increased in models with more fields or extra dimensions. |
1511.01908 | Victor Gorbenko | Sergei Dubovsky and Victor Gorbenko | Towards a Theory of the QCD String | 33 pages, 7 figures | null | 10.1007/JHEP02(2016)022 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new model of four-dimensional relativistic strings with
integrable dynamics on the worldsheet. In addition to translational modes this
model contains a single massless pseudoscalar worldsheet field - the worldsheet
axion. The axion couples to a topological density which counts the
self-intersection number of a string. The corresponding coupling is fixed by
integrability to $Q=\sqrt{7\over 16\pi}\approx 0.37$. We argue that this model
is a member of a larger family of relativistic non-critical integrable string
models. This family includes and extends conventional non-critical strings
described by the linear dilaton CFT. Intriguingly, recent lattice data in
$SU(3)$ and $SU(5)$ gluodynamics reveals the presence of a massive pseudoscalar
axion on the worldsheet of confining flux tubes. The value of the corresponding
coupling, as determined from the lattice data, is equal to
$Q_L\approx0.38\pm0.04$.
| [
{
"created": "Thu, 5 Nov 2015 21:00:20 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Dubovsky",
"Sergei",
""
],
[
"Gorbenko",
"Victor",
""
]
] | We construct a new model of four-dimensional relativistic strings with integrable dynamics on the worldsheet. In addition to translational modes this model contains a single massless pseudoscalar worldsheet field - the worldsheet axion. The axion couples to a topological density which counts the self-intersection number of a string. The corresponding coupling is fixed by integrability to $Q=\sqrt{7\over 16\pi}\approx 0.37$. We argue that this model is a member of a larger family of relativistic non-critical integrable string models. This family includes and extends conventional non-critical strings described by the linear dilaton CFT. Intriguingly, recent lattice data in $SU(3)$ and $SU(5)$ gluodynamics reveals the presence of a massive pseudoscalar axion on the worldsheet of confining flux tubes. The value of the corresponding coupling, as determined from the lattice data, is equal to $Q_L\approx0.38\pm0.04$. |
2201.11563 | George Papadopoulos | G. Papadopoulos and E. P\'erez-Bola\~nos | TCFHs, hidden symmetries and M-theory backgrounds | 27 pages | null | 10.1088/1361-6382/aca1a2 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We present the TCFH of 11-dimensional supergravity and so demonstrate that
the form bilinears of supersymmetric solutions satisfy a generalisation of the
conformal Killing-Yano equation with resepct to the TCFH connection. We also
compute the Killing-St\"ackel, Killing-Yano and closed conformal Killing-Yano
tensors of all spherically symmetric M-branes that include the M2-brane,
M5-brane, KK-monopole and pp-wave and demonstrate that their geodesic flows are
completely integrable by giving all independent conserved charges in
involution. We then find that all form bilinears of pp-wave and KK-monopole
solutions generate (hidden) symmetries for spinning particle probes propagating
on these backgrounds. Moreover, there are Killing spinors such that some of the
1-, 2- and 3-form bilinears of the M2-brane solution also generate symmetries
for spinning particle probes. We also explore the question on whether the form
bilinears are sufficient to prove the integrability of particle probe dynamics
on 11-dimensional supersymmetric backgrounds.
| [
{
"created": "Thu, 27 Jan 2022 15:10:47 GMT",
"version": "v1"
}
] | 2022-12-07 | [
[
"Papadopoulos",
"G.",
""
],
[
"Pérez-Bolaños",
"E.",
""
]
] | We present the TCFH of 11-dimensional supergravity and so demonstrate that the form bilinears of supersymmetric solutions satisfy a generalisation of the conformal Killing-Yano equation with resepct to the TCFH connection. We also compute the Killing-St\"ackel, Killing-Yano and closed conformal Killing-Yano tensors of all spherically symmetric M-branes that include the M2-brane, M5-brane, KK-monopole and pp-wave and demonstrate that their geodesic flows are completely integrable by giving all independent conserved charges in involution. We then find that all form bilinears of pp-wave and KK-monopole solutions generate (hidden) symmetries for spinning particle probes propagating on these backgrounds. Moreover, there are Killing spinors such that some of the 1-, 2- and 3-form bilinears of the M2-brane solution also generate symmetries for spinning particle probes. We also explore the question on whether the form bilinears are sufficient to prove the integrability of particle probe dynamics on 11-dimensional supersymmetric backgrounds. |
hep-th/9406005 | null | S.Krivonos and A.Sorin | Linearizing W-Algebras | 9 pages, LaTeX | Phys.Lett. B335 (1994) 45-50 | 10.1016/0370-2693(94)91556-3 | null | hep-th | null | We show that the Zamolodchikov's and Polyakov-Bershadsky nonlinear algebras
$W_3$ and $W_3^{(2)}$ can be embedded as subalgebras into some {\em linear}
algebras with finite set of currents. Using these linear algebras we find new
field realizations of $W_3^{(2)}$ and $W_3$ which could be a starting point for
constructing new versions of $W$-string theories. We also reveal a number of
hidden relationships between $W_3$ and $W_3^{(2)}$. We conjecture that similar
linear algebras can exist for other $W$-algebras as well.
| [
{
"created": "Thu, 2 Jun 1994 08:29:45 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] | We show that the Zamolodchikov's and Polyakov-Bershadsky nonlinear algebras $W_3$ and $W_3^{(2)}$ can be embedded as subalgebras into some {\em linear} algebras with finite set of currents. Using these linear algebras we find new field realizations of $W_3^{(2)}$ and $W_3$ which could be a starting point for constructing new versions of $W$-string theories. We also reveal a number of hidden relationships between $W_3$ and $W_3^{(2)}$. We conjecture that similar linear algebras can exist for other $W$-algebras as well. |
1703.09901 | M. Abdul Wasay | M. Abdul Wasay, Asma Bashir, Benjamin Koch, Abdul Ghaffar | Geometric description of the Schr\"odinger equation in 3n+1 dimensional
configuration space | 6 pages | Int.J.Geom.Meth.Mod.Phys. 14 (2017) no.10, 1750149 | 10.1142/S0219887817501493 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for non-relativistic free particles, the (bosonic) many particle
equations can be rewritten in geometric fashion in terms of a classical theory
of conformally stretched spacetime. We further generalize the results for the
particles subject to a potential.
| [
{
"created": "Wed, 29 Mar 2017 06:49:45 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Wasay",
"M. Abdul",
""
],
[
"Bashir",
"Asma",
""
],
[
"Koch",
"Benjamin",
""
],
[
"Ghaffar",
"Abdul",
""
]
] | We show that for non-relativistic free particles, the (bosonic) many particle equations can be rewritten in geometric fashion in terms of a classical theory of conformally stretched spacetime. We further generalize the results for the particles subject to a potential. |
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