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/9509070 | Clifford Johnson | Clifford V. Johnson, Nemanja Kaloper, Ramzi R. Khuri, Robert C. Myers | Is string theory a theory of strings? | 11 pages. Uses harvmac.tex (A note and a reference added) | Phys.Lett.B368:71-77,1996 | 10.1016/0370-2693(95)01493-4 | NSF-ITP-95-108, McGill/95-45, CERN-TH/95-236, PUPT-1561 | hep-th | null | Recently a great deal of evidence has been found indicating that type IIA
string theory compactified on K3 is equivalent to heterotic string theory
compactified on T^4. Under the transformation which relates the two theories,
the roles of fundamental and solitonic string solutions are interchanged. In
this letter we show that there exists a solitonic membrane solution of the
heterotic string theory which becomes a singular solution of the type IIA
theory, and should therefore be interpreted as a fundamental membrane in the
latter theory. We speculate upon the implications that the complete type IIA
theory is a theory of membranes, as well as strings.
| [
{
"created": "Thu, 14 Sep 1995 01:01:06 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 1995 03:45:12 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Johnson",
"Clifford V.",
""
],
[
"Kaloper",
"Nemanja",
""
],
[
"Khuri",
"Ramzi R.",
""
],
[
"Myers",
"Robert C.",
""
]
] | Recently a great deal of evidence has been found indicating that type IIA string theory compactified on K3 is equivalent to heterotic string theory compactified on T^4. Under the transformation which relates the two theories, the roles of fundamental and solitonic string solutions are interchanged. In this letter we show that there exists a solitonic membrane solution of the heterotic string theory which becomes a singular solution of the type IIA theory, and should therefore be interpreted as a fundamental membrane in the latter theory. We speculate upon the implications that the complete type IIA theory is a theory of membranes, as well as strings. |
hep-th/0202026 | Hai-Jun Wang | Jun-Chen Su | Closed expression of the interaction kernel in the Bethe-Salpeter
equation for quark-antiquark bound states | 27 pages,no figures | Prog.Theor.Phys. 114 (2005) 391-431 | 10.1143/PTP.114.391 | null | hep-th hep-ph | null | The interaction kernel in the Bethe-Salpeter equation for quark-antiquark
bound states is derived from the Bethe-Salpeter equations satisfied by the
quark-antiquark four-point Green's function. The latter equations are
established based on the equations of motion obeyed by the quark and antiquark
propagators, the four-point Green's function and some other kinds of Green's
functions which follow directly from the QCD generating functional. The B-S
kernel derived is given an exact and explicit expression which contains only a
few types of Green's functions. This expression is not only convenient for
perturbative calculations, but also suitable for nonperturbative
investigations.
| [
{
"created": "Tue, 5 Feb 2002 08:25:45 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Oct 2005 08:36:02 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Su",
"Jun-Chen",
""
]
] | The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived from the Bethe-Salpeter equations satisfied by the quark-antiquark four-point Green's function. The latter equations are established based on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green's function and some other kinds of Green's functions which follow directly from the QCD generating functional. The B-S kernel derived is given an exact and explicit expression which contains only a few types of Green's functions. This expression is not only convenient for perturbative calculations, but also suitable for nonperturbative investigations. |
1010.2273 | Aalok Misra | Aalok Misra | "Big" Divisor D3/D7 Swiss Cheese Phenomenology | Invited review for MPLA, 14 pages, LaTeX | Mod.Phys.Lett.A26:1-17,2011 | 10.1142/S0217732311034657 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review progress made over the past couple of years in the field of Swiss
Cheese Phenomenology involving a mobile space-time filling D3-brane and
stack(s) of fluxed D7-branes wrapping the "big" (as opposed to the "small")
divisor in (the orientifold of a) Swiss-Cheese Calabi-Yau. The topics reviewed
include reconciliation of large volume cosmology and phenomenology, evaluation
of soft supersymmetry breaking parameters, one-loop RG-flow equations'
solutions for scalar masses, obtaining fermionic (possibly first two
generations' quarks/leptons) mass scales in the O(MeV-GeV)-regime as well as
(first two generations') neutrino masses (and their one-loop RG flow) of around
an eV. The heavy sparticles and the light fermions indicate the possibility of
"split SUSY" large volume scenario.
| [
{
"created": "Tue, 12 Oct 2010 00:57:15 GMT",
"version": "v1"
}
] | 2011-02-11 | [
[
"Misra",
"Aalok",
""
]
] | We review progress made over the past couple of years in the field of Swiss Cheese Phenomenology involving a mobile space-time filling D3-brane and stack(s) of fluxed D7-branes wrapping the "big" (as opposed to the "small") divisor in (the orientifold of a) Swiss-Cheese Calabi-Yau. The topics reviewed include reconciliation of large volume cosmology and phenomenology, evaluation of soft supersymmetry breaking parameters, one-loop RG-flow equations' solutions for scalar masses, obtaining fermionic (possibly first two generations' quarks/leptons) mass scales in the O(MeV-GeV)-regime as well as (first two generations') neutrino masses (and their one-loop RG flow) of around an eV. The heavy sparticles and the light fermions indicate the possibility of "split SUSY" large volume scenario. |
1006.3435 | Andrew Neitzke | Sergio Cecotti, Andrew Neitzke, and Cumrun Vafa | R-Twisting and 4d/2d Correspondences | 161 pages, 4 figures; v2: references added, small corrections | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how aspects of the R-charge of N=2 CFTs in four dimensions are
encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from
their dyon spectra. In particular, the monodromy operator should have finite
order if the R-charges are rational. We verify this for a number of examples
including those arising from pairs of ADE singularities on a Calabi-Yau
threefold (some of which are dual to 6d (2,0) ADE theories suitably fibered
over the plane). In these cases we find that our monodromy maps to that of the
Y-systems, studied by Zamolodchikov in the context of TBA. Moreover we find
that the trace of the (fractional) q-deformed KS monodromy is given by the
characters of 2d conformal field theories associated to the corresponding TBA
(i.e. integrable deformations of the generalized parafermionic systems). The
Verlinde algebra gets realized through evaluation of line operators at the loci
of the associated hyperKahler manifold fixed under R-symmetry action. Moreover,
we propose how the TBA system arises as part of the N=2 theory in 4 dimensions.
Finally, we initiate a classification of N=2 superconformal theories in 4
dimensions based on their quiver data and find that this classification problem
is mapped to the classification of N=2 theories in 2 dimensions, and use this
to classify all the 4d, N=2 theories with up to 3 generators for BPS states.
| [
{
"created": "Thu, 17 Jun 2010 11:32:49 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jun 2010 19:49:30 GMT",
"version": "v2"
}
] | 2010-07-01 | [
[
"Cecotti",
"Sergio",
""
],
[
"Neitzke",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particular, the monodromy operator should have finite order if the R-charges are rational. We verify this for a number of examples including those arising from pairs of ADE singularities on a Calabi-Yau threefold (some of which are dual to 6d (2,0) ADE theories suitably fibered over the plane). In these cases we find that our monodromy maps to that of the Y-systems, studied by Zamolodchikov in the context of TBA. Moreover we find that the trace of the (fractional) q-deformed KS monodromy is given by the characters of 2d conformal field theories associated to the corresponding TBA (i.e. integrable deformations of the generalized parafermionic systems). The Verlinde algebra gets realized through evaluation of line operators at the loci of the associated hyperKahler manifold fixed under R-symmetry action. Moreover, we propose how the TBA system arises as part of the N=2 theory in 4 dimensions. Finally, we initiate a classification of N=2 superconformal theories in 4 dimensions based on their quiver data and find that this classification problem is mapped to the classification of N=2 theories in 2 dimensions, and use this to classify all the 4d, N=2 theories with up to 3 generators for BPS states. |
1004.4858 | Martin Schnabl | Martin Schnabl | Algebraic solutions in Open String Field Theory - a lightning review | 14 pages, 1 figure; v2: latex macro issue fixed; v3: typos corrected,
published version | Acta Polytechnica vol. 50, no. 3 (2010), 102 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short talk we review basic ideas of string field theory with the
emphasis on the recent developments. We show how without too much technicality
one can look for analytic solutions to Witten's open string field theory. This
is an expanded version of a talk given by the author over the last year at a
number of occasions and notably at the conference "Selected Topics in
Mathematical and Particle Physics" in honor of Prof. Jiri Niederle's 70th
birthday.
| [
{
"created": "Tue, 27 Apr 2010 16:31:31 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2010 10:20:39 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jan 2013 12:33:11 GMT",
"version": "v3"
}
] | 2013-01-31 | [
[
"Schnabl",
"Martin",
""
]
] | In this short talk we review basic ideas of string field theory with the emphasis on the recent developments. We show how without too much technicality one can look for analytic solutions to Witten's open string field theory. This is an expanded version of a talk given by the author over the last year at a number of occasions and notably at the conference "Selected Topics in Mathematical and Particle Physics" in honor of Prof. Jiri Niederle's 70th birthday. |
2106.15483 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Minoru Eto | The moduli space of non-Abelian vortices in
Yang-Mills-Chern-Simons-Higgs theory | LaTeX: 32 pages, 2 figures; V2: comments added and typos corrected | J. Phys. A: Math. Theor. 54, 425402 (2021) | 10.1088/1751-8121/ac254b | YGHP-21-3 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the dimension of the moduli space of non-Abelian vortices in
Yang-Mills-Chern-Simons-Higgs theory in 2+1 dimensions for gauge groups
$G=({\rm U}(1)\times G')/\mathbb{Z}_{n_0}$ with $G'$ being an arbitrary
semi-simple group and $n_0$ the greatest common divisor of the Abelian charges
of the $G'$ invariants. The calculation is carried out using a Callias-type
index theorem, the moduli matrix approach and a D-brane setup in Type IIB
string theory. We prove that the index theorem gives the number of zeromodes or
moduli of the non-Abelian vortices, extend the moduli matrix approach to the
Yang-Mills-Chern-Simons-Higgs theory and finally derive the effective
Lagrangian of Collie and Tong using string theory.
| [
{
"created": "Tue, 29 Jun 2021 15:10:05 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2021 10:07:32 GMT",
"version": "v2"
}
] | 2021-10-01 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Eto",
"Minoru",
""
]
] | We determine the dimension of the moduli space of non-Abelian vortices in Yang-Mills-Chern-Simons-Higgs theory in 2+1 dimensions for gauge groups $G=({\rm U}(1)\times G')/\mathbb{Z}_{n_0}$ with $G'$ being an arbitrary semi-simple group and $n_0$ the greatest common divisor of the Abelian charges of the $G'$ invariants. The calculation is carried out using a Callias-type index theorem, the moduli matrix approach and a D-brane setup in Type IIB string theory. We prove that the index theorem gives the number of zeromodes or moduli of the non-Abelian vortices, extend the moduli matrix approach to the Yang-Mills-Chern-Simons-Higgs theory and finally derive the effective Lagrangian of Collie and Tong using string theory. |
2003.10567 | Constantinos Papageorgakis | E. Andriolo, N. Lambert and C. Papageorgakis | Geometrical Aspects of An Abelian (2,0) Action | 37 pages; v2: typos corrected and references added | null | 10.1007/JHEP04(2020)200 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore various geometrical aspects of an action for six-dimensional
chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling
to general backgrounds and construct the full supersymmetric completion to an
abelian (2,0) superconformal lagrangian including matter. We investigate the
non-standard diffeomorphism properties of the fields and their relation to the
hamiltonian formulation. We also test the action by considering
compactifications on a circle, K3 and a Riemann surface. The results are
consistent with expectations for an action describing the low-energy physics of
an M5-brane in M-theory.
| [
{
"created": "Mon, 23 Mar 2020 22:13:42 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2020 12:54:31 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Andriolo",
"E.",
""
],
[
"Lambert",
"N.",
""
],
[
"Papageorgakis",
"C.",
""
]
] | We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2,0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory. |
hep-th/0112095 | Birgit Kaufmann | Hubert Saleur and Birgit Wehefritz-Kaufmann | Integrable quantum field theories with OSP(m/2n) symmetries | 32 pages, 9 figures | Nucl.Phys. B628 (2002) 407-441 | 10.1016/S0550-3213(02)00092-5 | null | hep-th cond-mat | null | We conjecture the factorized scattering description for OSP(m/2n)/OSP(m-1/2n)
supersphere sigma models and OSP(m/2n) Gross Neveu models. The non-unitarity of
these field theories translates into a lack of `physical unitarity' of the S
matrices, which are instead unitary with respect to the non-positive scalar
product inherited from the orthosymplectic structure. Nevertheless, we find
that formal thermodynamic Bethe ansatz calculations appear meaningful,
reproduce the correct central charges, and agree with perturbative
calculations. This paves the way to a more thorough study of these and other
models with supergroup symmetries using the S matrix approach.
| [
{
"created": "Tue, 11 Dec 2001 19:35:36 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Saleur",
"Hubert",
""
],
[
"Wehefritz-Kaufmann",
"Birgit",
""
]
] | We conjecture the factorized scattering description for OSP(m/2n)/OSP(m-1/2n) supersphere sigma models and OSP(m/2n) Gross Neveu models. The non-unitarity of these field theories translates into a lack of `physical unitarity' of the S matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that formal thermodynamic Bethe ansatz calculations appear meaningful, reproduce the correct central charges, and agree with perturbative calculations. This paves the way to a more thorough study of these and other models with supergroup symmetries using the S matrix approach. |
2207.01659 | Hongbin Chen | Hongbin Chen, A. Liam Fitzpatrick, Emanuel Katz, Yuan Xin | Giving Hamiltonian Truncation a Boost | 25 pages, 13 figures | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Hamiltonian truncation in boosted frames. We consider the thermal
and magnetic field deformations of the 2d Ising model using TCSA at finite
momentum. We find that even with moderate momenta, the spectrum and
time-dependent correlation functions become significantly less dependent on the
volume of the system. This allows for a more reliable determination of infinite
volume observables.
| [
{
"created": "Mon, 4 Jul 2022 18:17:16 GMT",
"version": "v1"
}
] | 2022-07-06 | [
[
"Chen",
"Hongbin",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Xin",
"Yuan",
""
]
] | We study Hamiltonian truncation in boosted frames. We consider the thermal and magnetic field deformations of the 2d Ising model using TCSA at finite momentum. We find that even with moderate momenta, the spectrum and time-dependent correlation functions become significantly less dependent on the volume of the system. This allows for a more reliable determination of infinite volume observables. |
2111.06089 | Yuqi Lei | Yu-Qi Lei, Xian-Hui Ge | Circular Motion of Charged Particles near Charged Black Hole | We add the discussion of RN-AdS black holes | null | 10.1103/PhysRevD.105.084011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the circular motion of charged particles near a charged black hole.
The general form of the Lyapunov exponent of charged particles is obtained by
using the Jacobian matrix. The results show that the chaos bound can be
saturated by the circular motion of charged particles on the horizon. By
further expanding the Lyapunov exponent near the horizon and investigating
Reissner-Nordstr\"om(RN) black holes with different $M/Q$, we find that in
contrast to the static equilibrium, the circular motion of charged particles
can have a larger Lyapunov exponent due to the existence of angular momentum.
For the RN black holes which have the mass-charge ratio $1<M/Q <1.1547$, the
chaos bound is locally violated by the null and the time-like circular motion
with large angular momentum. As an illustration of the universality of our
results, we study the charged particles' circular motion near the
Reissner-Nordstr\"om Anti-de Sitter (RN-AdS) black hole and find that the null
and the time-like circular motion with large angular momentum can exceed the
chaos bound under the background of RN-AdS black holes with the mass-charge
ratio in the range $1.23132<M/Q<1.75225$.
| [
{
"created": "Thu, 11 Nov 2021 07:51:55 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2022 07:23:13 GMT",
"version": "v2"
}
] | 2022-04-20 | [
[
"Lei",
"Yu-Qi",
""
],
[
"Ge",
"Xian-Hui",
""
]
] | We study the circular motion of charged particles near a charged black hole. The general form of the Lyapunov exponent of charged particles is obtained by using the Jacobian matrix. The results show that the chaos bound can be saturated by the circular motion of charged particles on the horizon. By further expanding the Lyapunov exponent near the horizon and investigating Reissner-Nordstr\"om(RN) black holes with different $M/Q$, we find that in contrast to the static equilibrium, the circular motion of charged particles can have a larger Lyapunov exponent due to the existence of angular momentum. For the RN black holes which have the mass-charge ratio $1<M/Q <1.1547$, the chaos bound is locally violated by the null and the time-like circular motion with large angular momentum. As an illustration of the universality of our results, we study the charged particles' circular motion near the Reissner-Nordstr\"om Anti-de Sitter (RN-AdS) black hole and find that the null and the time-like circular motion with large angular momentum can exceed the chaos bound under the background of RN-AdS black holes with the mass-charge ratio in the range $1.23132<M/Q<1.75225$. |
hep-th/9502044 | G. Vitiello | Y.N.Srivastava, G.Vitiello and A. Widom | QUANTUM DISSIPATION AND QUANTUM NOISE | This is a Tex file; To be published in Annals of Phys. (N.Y.) 238,
200 (1995) | Annals Phys. 238 (1995) 200-207 | 10.1006/aphy.1995.1019 | null | hep-th | null | We derive the exact action for a damped mechanical system ( and the special
case of the linear oscillator) from the path integral formulation of the
quantum Brownian motion problem developed by Schwinger and by Feynman and
Vernon. The doubling of the phase-space degrees of freedom for dissipative
systems and thermal field theories is discussed and the initial values of the
doubled variables are related to quantum noise effects.
| [
{
"created": "Tue, 7 Feb 1995 11:31:51 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Srivastava",
"Y. N.",
""
],
[
"Vitiello",
"G.",
""
],
[
"Widom",
"A.",
""
]
] | We derive the exact action for a damped mechanical system ( and the special case of the linear oscillator) from the path integral formulation of the quantum Brownian motion problem developed by Schwinger and by Feynman and Vernon. The doubling of the phase-space degrees of freedom for dissipative systems and thermal field theories is discussed and the initial values of the doubled variables are related to quantum noise effects. |
2003.05448 | Arjun Kar | Vijay Balasubramanian, Arjun Kar, Onkar Parrikar, G\'abor S\'arosi,
Tomonori Ugajin | Geometric secret sharing in a model of Hawking radiation | 37+12 pages, 22 figures | null | 10.1007/JHEP01(2021)177 | CERN-TH-2020-039 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a black hole in three dimensional AdS space entangled with an
auxiliary radiation system. We model the microstates of the black hole in terms
of a field theory living on an end of the world brane behind the horizon, and
allow this field theory to itself have a holographic dual geometry. This
geometry is also a black hole since entanglement of the microstates with the
radiation leaves them in a mixed state. This "inception black hole" can be
purified by entanglement through a wormhole with an auxiliary system which is
naturally identified with the external radiation, giving a realization of the
ER=EPR scenario. In this context, we propose an extension of the Ryu-Takayanagi
(RT) formula, in which extremal surfaces computing entanglement entropy are
allowed to pass through the brane into its dual geometry. This new rule
reproduces the Page curve for evaporating black holes, consistently with the
recently proposed "island formula". We then separate the radiation system into
pieces. Our extended RT rule shows that the entanglement wedge of the union of
radiation subsystems covers the black hole interior at late times, but the
union of entanglement wedges of the subsystems may not. This result points to a
secret sharing scheme in Hawking radiation wherein reconstruction of certain
regions in the interior is impossible with any subsystem of the radiation, but
possible with all of it.
| [
{
"created": "Wed, 11 Mar 2020 18:00:00 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Kar",
"Arjun",
""
],
[
"Parrikar",
"Onkar",
""
],
[
"Sárosi",
"Gábor",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We consider a black hole in three dimensional AdS space entangled with an auxiliary radiation system. We model the microstates of the black hole in terms of a field theory living on an end of the world brane behind the horizon, and allow this field theory to itself have a holographic dual geometry. This geometry is also a black hole since entanglement of the microstates with the radiation leaves them in a mixed state. This "inception black hole" can be purified by entanglement through a wormhole with an auxiliary system which is naturally identified with the external radiation, giving a realization of the ER=EPR scenario. In this context, we propose an extension of the Ryu-Takayanagi (RT) formula, in which extremal surfaces computing entanglement entropy are allowed to pass through the brane into its dual geometry. This new rule reproduces the Page curve for evaporating black holes, consistently with the recently proposed "island formula". We then separate the radiation system into pieces. Our extended RT rule shows that the entanglement wedge of the union of radiation subsystems covers the black hole interior at late times, but the union of entanglement wedges of the subsystems may not. This result points to a secret sharing scheme in Hawking radiation wherein reconstruction of certain regions in the interior is impossible with any subsystem of the radiation, but possible with all of it. |
2211.11769 | Stefano Lanza | Thomas W. Grimm, Stefano Lanza, Thomas van Vuren | Global symmetry-breaking and generalized theta-terms in Type IIB EFTs | 34 pages + 19 pages Appendices; published version | JHEP 10 (2023) 154 | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A longstanding conjecture states that global symmetries should be absent in
quantum gravity. By investigating large classes of Type IIB four-dimensional
$\mathcal{N}=2$ effective field theories, we enlist the potential generalized
global symmetries that could be present and explore how they are avoided.
Crucial ingredients that arise in such effective field theories are generalized
$\theta$-terms. These introduce non-linear couplings between axion fields and
topological terms quadratic in the gauge field strengths which break a large
subset of the global symmetries. Additional residual global symmetries may
further be broken by assuming the existence of some charged states. However, we
illustrate that the presence of generalized $\theta$-terms leads to a
generalized Witten effect, which implies that the spectrum of charged states is
constituted by an infinitely populated lattice. We further show that such a
lattice is generated by the action of the monodromy transformation that
characterizes the moduli space boundary near which the effective theory is
defined.
| [
{
"created": "Mon, 21 Nov 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 09:36:41 GMT",
"version": "v2"
}
] | 2023-11-28 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Lanza",
"Stefano",
""
],
[
"van Vuren",
"Thomas",
""
]
] | A longstanding conjecture states that global symmetries should be absent in quantum gravity. By investigating large classes of Type IIB four-dimensional $\mathcal{N}=2$ effective field theories, we enlist the potential generalized global symmetries that could be present and explore how they are avoided. Crucial ingredients that arise in such effective field theories are generalized $\theta$-terms. These introduce non-linear couplings between axion fields and topological terms quadratic in the gauge field strengths which break a large subset of the global symmetries. Additional residual global symmetries may further be broken by assuming the existence of some charged states. However, we illustrate that the presence of generalized $\theta$-terms leads to a generalized Witten effect, which implies that the spectrum of charged states is constituted by an infinitely populated lattice. We further show that such a lattice is generated by the action of the monodromy transformation that characterizes the moduli space boundary near which the effective theory is defined. |
0712.2028 | Philip C. Argyres | Philip C. Argyres and John R. Wittig | Infinite coupling duals of N=2 gauge theories and new rank 1
superconformal field theories | 12 pages | JHEP 0801:074,2008 | 10.1088/1126-6708/2008/01/074 | null | hep-th | null | We show that a proposed duality [arXiv:0711.0054] between infinitely coupled
gauge theories and superconformal field theories (SCFTs) with weakly gauged
flavor groups predicts the existence of new rank 1 SCFTs. These superconformal
fixed point theories have the same Coulomb branch singularities as the rank 1
E_6, E_7, and E_8 SCFTs, but have smaller flavor symmetry algebras and
different central charges. Gauging various subalgebras of the flavor algebras
of these rank 1 SCFTs provides many examples of infinite-coupling dualities,
satisfying an intricate set of consistency checks. They also provide examples
of N=2 conformal theories with marginal couplings but no weak-coupling limits.
| [
{
"created": "Wed, 12 Dec 2007 19:56:30 GMT",
"version": "v1"
}
] | 2009-12-15 | [
[
"Argyres",
"Philip C.",
""
],
[
"Wittig",
"John R.",
""
]
] | We show that a proposed duality [arXiv:0711.0054] between infinitely coupled gauge theories and superconformal field theories (SCFTs) with weakly gauged flavor groups predicts the existence of new rank 1 SCFTs. These superconformal fixed point theories have the same Coulomb branch singularities as the rank 1 E_6, E_7, and E_8 SCFTs, but have smaller flavor symmetry algebras and different central charges. Gauging various subalgebras of the flavor algebras of these rank 1 SCFTs provides many examples of infinite-coupling dualities, satisfying an intricate set of consistency checks. They also provide examples of N=2 conformal theories with marginal couplings but no weak-coupling limits. |
1107.2569 | Jose A. de Azcarraga | Jose A. de Azcarraga and Jose M. Izquierdo | (p,q) D=3 Poincare supergravities from Lie algebra expansions | v2: two references added, 17 pages. To appear in NPB | null | 10.1016/j.nuclphysb.2011.08.020 | FTUV-11-1307 and IFIC-11-32 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the expansion of superalgebras procedure (summarized in the text) to
derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in
three-dimensional spacetime. After deriving the action for the (p,0)-Poincare
supergravity as a CS theory for the expansion osp(p|2;R)(2,1) of osp(p|2;R), we
find the general (p,q)-Poincare superalgebras and their associated D=3
supergravity actions as CS gauge theories from an expansion of the simple
osp(p+q|2,R) superalgebras, namely osp(p+q|2,R)(2,1,2).
| [
{
"created": "Wed, 13 Jul 2011 15:10:35 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2011 06:58:28 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"de Azcarraga",
"Jose A.",
""
],
[
"Izquierdo",
"Jose M.",
""
]
] | We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriving the action for the (p,0)-Poincare supergravity as a CS theory for the expansion osp(p|2;R)(2,1) of osp(p|2;R), we find the general (p,q)-Poincare superalgebras and their associated D=3 supergravity actions as CS gauge theories from an expansion of the simple osp(p+q|2,R) superalgebras, namely osp(p+q|2,R)(2,1,2). |
2107.10193 | David A. Kosower | Andrea Cristofoli, Riccardo Gonzo, David A. Kosower, Donal O'Connell | Waveforms from Amplitudes | 84 pages, 3 figures | null | 10.1103/PhysRevD.106.056007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to compute classical wave observables using quantum scattering
amplitudes. We discuss observables both with incoming and with outgoing waves.
The required classical limits are naturally described by coherent states of
massless bosons. We recompute the classic gravitational deflection of light,
and also show how to rederive Thomson scattering. We introduce a new class of
local observables, which includes the asymptotic electromagnetic and
gravitational Newman--Penrose scalars. As an example, we compute a simple
radiated waveform: the expectation of the electromagnetic field in
charged-particle scattering. At leading order, the waveform is trivially
related to the five-point scattering amplitude.
| [
{
"created": "Wed, 21 Jul 2021 16:36:14 GMT",
"version": "v1"
}
] | 2022-09-21 | [
[
"Cristofoli",
"Andrea",
""
],
[
"Gonzo",
"Riccardo",
""
],
[
"Kosower",
"David A.",
""
],
[
"O'Connell",
"Donal",
""
]
] | We show how to compute classical wave observables using quantum scattering amplitudes. We discuss observables both with incoming and with outgoing waves. The required classical limits are naturally described by coherent states of massless bosons. We recompute the classic gravitational deflection of light, and also show how to rederive Thomson scattering. We introduce a new class of local observables, which includes the asymptotic electromagnetic and gravitational Newman--Penrose scalars. As an example, we compute a simple radiated waveform: the expectation of the electromagnetic field in charged-particle scattering. At leading order, the waveform is trivially related to the five-point scattering amplitude. |
1205.3583 | Daniel Becker | D. Becker and M. Reuter | Running boundary actions, Asymptotic Safety, and black hole
thermodynamics | 65 pages, 2 figures | null | 10.1007/JHEP07(2012)172 | MZ-TH/12-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Previous explorations of the Asymptotic Safety scenario in Quantum Einstein
Gravity (QEG) by means of the effective average action and its associated
functional renormalization group (RG) equation assumed spacetime manifolds
which have no boundaries. Here we take a first step towards a generalization
for non-trivial boundaries, restricting ourselves to action functionals which
are at most of second order in the derivatives acting on the metric. We analyze
two examples of truncated actions with running boundary terms: full fledged QEG
within the single-metric Einstein-Hilbert (EH) truncation, augmented by a scale
dependent Gibbons-Hawking (GH) surface term, and a bi-metric truncation for
gravity coupled to scalar matter fields. The latter contains 17 running
couplings, related to both bulk and boundary terms, whose beta-functions are
computed in the induced gravity approximation. We find that the bulk and the
boundary Newton constant, pertaining to the EH and GH term, respectively, show
opposite RG running; proposing a scale dependent variant of the ADM mass we
argue that the running of both couplings is consistent with gravitational
anti-screening. We describe a simple device for counting the number of field
modes integrated out between the infrared cutoff scale and the ultraviolet.
This method makes it manifest that, in an asymptotically safe theory, there are
effectively no field modes integrated out while the RG trajectory stays in the
scaling regime of the underlying fixed point. As an application, we investigate
how the semiclassical theory of Black Hole Thermodynamics gets modified by
quantum gravity effects and compare the new picture to older work on
`RG-improved black holes' which incorporated the running of the bulk Newton
constant only. We find, for instance, that the black hole's entropy vanishes
and its specific heat capacity turns positive at Planckian scales.
| [
{
"created": "Wed, 16 May 2012 07:43:43 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Becker",
"D.",
""
],
[
"Reuter",
"M.",
""
]
] | Previous explorations of the Asymptotic Safety scenario in Quantum Einstein Gravity (QEG) by means of the effective average action and its associated functional renormalization group (RG) equation assumed spacetime manifolds which have no boundaries. Here we take a first step towards a generalization for non-trivial boundaries, restricting ourselves to action functionals which are at most of second order in the derivatives acting on the metric. We analyze two examples of truncated actions with running boundary terms: full fledged QEG within the single-metric Einstein-Hilbert (EH) truncation, augmented by a scale dependent Gibbons-Hawking (GH) surface term, and a bi-metric truncation for gravity coupled to scalar matter fields. The latter contains 17 running couplings, related to both bulk and boundary terms, whose beta-functions are computed in the induced gravity approximation. We find that the bulk and the boundary Newton constant, pertaining to the EH and GH term, respectively, show opposite RG running; proposing a scale dependent variant of the ADM mass we argue that the running of both couplings is consistent with gravitational anti-screening. We describe a simple device for counting the number of field modes integrated out between the infrared cutoff scale and the ultraviolet. This method makes it manifest that, in an asymptotically safe theory, there are effectively no field modes integrated out while the RG trajectory stays in the scaling regime of the underlying fixed point. As an application, we investigate how the semiclassical theory of Black Hole Thermodynamics gets modified by quantum gravity effects and compare the new picture to older work on `RG-improved black holes' which incorporated the running of the bulk Newton constant only. We find, for instance, that the black hole's entropy vanishes and its specific heat capacity turns positive at Planckian scales. |
hep-th/9712108 | Alexandre Grezzi de Miranda Schmidt | Alfredo T. Suzuki and Alexandre G. M. Schmidt | An easy way to solve two-loop vertex integrals | 13 pages, LaTeX, 4 figures, misprints corrected | Phys.Rev. D58 (1998) 047701 | 10.1103/PhysRevD.58.047701 | null | hep-th | null | Negative dimensional integration is a step further dimensional regularization
ideas. In this approach, based on the principle of analytic continuation,
Feynman integrals are polynomial ones and for this reason very simple to
handle, contrary to the usual parametric ones. The result of the integral
worked out in $D<0$ must be analytically continued again --- of course --- to
real physical world, $D>0$, and this step presents no difficulties. We consider
four two-loop three-point vertex diagrams with arbitrary exponents of
propagators and dimension. These original results give the correct well-known
particular cases where the exponents of propagators are equal to unity.
| [
{
"created": "Thu, 11 Dec 1997 00:37:22 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 1997 13:51:29 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Suzuki",
"Alfredo T.",
""
],
[
"Schmidt",
"Alexandre G. M.",
""
]
] | Negative dimensional integration is a step further dimensional regularization ideas. In this approach, based on the principle of analytic continuation, Feynman integrals are polynomial ones and for this reason very simple to handle, contrary to the usual parametric ones. The result of the integral worked out in $D<0$ must be analytically continued again --- of course --- to real physical world, $D>0$, and this step presents no difficulties. We consider four two-loop three-point vertex diagrams with arbitrary exponents of propagators and dimension. These original results give the correct well-known particular cases where the exponents of propagators are equal to unity. |
1306.2517 | James Lucietti | Hari K. Kunduri, James Lucietti | Classification of near-horizon geometries of extremal black holes | 70 pages; invited review article for Living Reviews in Relativity; v2
some improvements and references added | Living Rev. Relativity 16, (2013), 8 | 10.12942/lrr-2013-8 | EMPG-13-09 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Any spacetime containing a degenerate Killing horizon, such as an extremal
black hole, possesses a well-defined notion of a near-horizon geometry. We
review such near-horizon geometry solutions in a variety of dimensions and
theories in a unified manner. We discuss various general results including
horizon topology and near-horizon symmetry enhancement. We also discuss the
status of the classification of near-horizon geometries in theories ranging
from vacuum gravity to Einstein-Maxwell theory and supergravity theories.
Finally, we discuss applications to the classification of extremal black holes
and various related topics. Several new results are presented and open problems
are highlighted throughout.
| [
{
"created": "Tue, 11 Jun 2013 13:34:43 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2013 13:56:28 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Kunduri",
"Hari K.",
""
],
[
"Lucietti",
"James",
""
]
] | Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We review such near-horizon geometry solutions in a variety of dimensions and theories in a unified manner. We discuss various general results including horizon topology and near-horizon symmetry enhancement. We also discuss the status of the classification of near-horizon geometries in theories ranging from vacuum gravity to Einstein-Maxwell theory and supergravity theories. Finally, we discuss applications to the classification of extremal black holes and various related topics. Several new results are presented and open problems are highlighted throughout. |
hep-th/9210050 | null | Ashoke Sen | Black Holes and Solitons in String Theory | 24 pages, phyzzx.tex, TIFR-TH-92-57 | null | null | null | hep-th gr-qc | null | In this review, I discuss a general method for constructing classical
solutions of the equations of motion arising in the effective low energy string
theory, and discuss specific applications of this method. (Based on talks given
at the Johns Hopkins Workshop held at Goteborg, June 8-10, 1992, and ICTP
Summer Workshop held at Trieste, July 2-3, 1992)
| [
{
"created": "Fri, 9 Oct 1992 11:23:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sen",
"Ashoke",
""
]
] | In this review, I discuss a general method for constructing classical solutions of the equations of motion arising in the effective low energy string theory, and discuss specific applications of this method. (Based on talks given at the Johns Hopkins Workshop held at Goteborg, June 8-10, 1992, and ICTP Summer Workshop held at Trieste, July 2-3, 1992) |
2310.06042 | Gopal Yadav | Gopal Yadav | Aspects of Thermal QCD Phenomenology at Intermediate Gauge/'t Hooft
Coupling from String/M-Theory, (HD) Gravity Islands, and Multiverse | 330 pages, 31 figures, 4 tables; based on Ph.D. thesis (successfully
defended on October 05, 2023) and arXiv:2011.04660, arXiv:2108.05372,
arXiv:2203.11959, arXiv:2204.11882, arXiv:2207.04048, arXiv:2210.00331,
arXiv:2301.06151 | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | As applications of arXiv:2004.07259, the first part of the thesis is based on
(i) arXiv:2011.04660 wherein we computed the low energy coupling constants of
SU(3) chiral perturbation theory at NLO in the chiral expansion in the chiral
limit, from the type IIA string dual inclusive of ${\cal O}(R^4)$ corrections
and found a novel HD-large-$N$ connection; (ii) arXiv:2108.05372,
arXiv:2203.11959 wherein we discussed confinement-deconfinement phase
transition in thermal QCD-like theories at intermediate coupling in the
absence/presence of rotation and observed (a) a novel "UV-IR" mixing, (b)
"Flavor Memory" effect, (c) M$\chi$PT compatibility,(d) non-renormalization of
deconfinement temperature $T_c$ beyond one loop in the zero instanton sector,
and (e) found that the $T_c$ of rotating QGP decreases when angular velocity of
rotating cylindrical black hole increases and vice-versa. In the second part of
thesis, we obtained Page curves of Reissner-Nordstr\"{o}m black holes in the
presence of ${\cal O}(R^2)$ terms and black holes with multiple horizons in
arXiv:2204.11882 and arXiv:2210.00331 respectively. In arXiv:2207.04048, we
constructed a doubly holographic setup for a non-conformal bath (thermal QCD)
in ${\cal M}$-theory background with the inclusion of ${\cal O}(R^4)$ terms and
obtained the Page curve of an eternal neutral black hole for massless graviton
localized on an ETW-"brane"/(Fluxed) hypersurface. Multiverse is described as
the setup of 2n anti de-Sitter (AdS) or de-Sitter branes embedded in the
corresponding bulk (arXiv:2301.06151). Since all the universes can communicate
with each other due to transparent boundary conditions at the defect, therefore
one could exchange information between any universes. This setup is also used
to obtain the Page curve of the Schwarzschild de-Sitter black hole, which has
two horizons.
| [
{
"created": "Mon, 9 Oct 2023 18:00:42 GMT",
"version": "v1"
}
] | 2023-10-11 | [
[
"Yadav",
"Gopal",
""
]
] | As applications of arXiv:2004.07259, the first part of the thesis is based on (i) arXiv:2011.04660 wherein we computed the low energy coupling constants of SU(3) chiral perturbation theory at NLO in the chiral expansion in the chiral limit, from the type IIA string dual inclusive of ${\cal O}(R^4)$ corrections and found a novel HD-large-$N$ connection; (ii) arXiv:2108.05372, arXiv:2203.11959 wherein we discussed confinement-deconfinement phase transition in thermal QCD-like theories at intermediate coupling in the absence/presence of rotation and observed (a) a novel "UV-IR" mixing, (b) "Flavor Memory" effect, (c) M$\chi$PT compatibility,(d) non-renormalization of deconfinement temperature $T_c$ beyond one loop in the zero instanton sector, and (e) found that the $T_c$ of rotating QGP decreases when angular velocity of rotating cylindrical black hole increases and vice-versa. In the second part of thesis, we obtained Page curves of Reissner-Nordstr\"{o}m black holes in the presence of ${\cal O}(R^2)$ terms and black holes with multiple horizons in arXiv:2204.11882 and arXiv:2210.00331 respectively. In arXiv:2207.04048, we constructed a doubly holographic setup for a non-conformal bath (thermal QCD) in ${\cal M}$-theory background with the inclusion of ${\cal O}(R^4)$ terms and obtained the Page curve of an eternal neutral black hole for massless graviton localized on an ETW-"brane"/(Fluxed) hypersurface. Multiverse is described as the setup of 2n anti de-Sitter (AdS) or de-Sitter branes embedded in the corresponding bulk (arXiv:2301.06151). Since all the universes can communicate with each other due to transparent boundary conditions at the defect, therefore one could exchange information between any universes. This setup is also used to obtain the Page curve of the Schwarzschild de-Sitter black hole, which has two horizons. |
hep-th/0310165 | Thomas Heinzl | Thomas Heinzl (FSU Jena) | Light-cone zero modes revisited | 6 pages, 5 figures, Talk given at Light-Cone Workshop: Hadrons and
Beyond (LC03), Durham, England, Aug 5-9, 2003 | null | null | null | hep-th | null | The vacuum problem of light-cone quantum field theory is reanalysed from a
functional-integral point of view.
| [
{
"created": "Fri, 17 Oct 2003 13:28:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Heinzl",
"Thomas",
"",
"FSU Jena"
]
] | The vacuum problem of light-cone quantum field theory is reanalysed from a functional-integral point of view. |
0807.2456 | Stefano Bolognesi | Stefano Bolognesi | A Coincidence Problem: How to Flow from N=2 SQCD to N=1 SQCD | 45 pp. v2: typos corrected. v3,v4: other minor corrections | JHEP 0811:029,2008 | 10.1088/1126-6708/2008/11/029 | FTPI-MINN-08/26; UMN-TH-2705/08 | hep-th | http://creativecommons.org/licenses/publicdomain/ | We discuss, and propose a solution for, a still unresolved problem regarding
the breaking from $\N=2$ super-QCD to $\N=1$ super-QCD. A mass term $W=\mu \Tr
\Phi^2 / 2$ for the adjoint field, which classically does the required breaking
perfectly, quantum mechanically leads to a relevant operator that, in the
infrared, makes the theory flow away from pure $\N=1$ SQCD. To avoid this
problem, we first need to extend the theory from $\SU (n_c)$ to $\U (n_c)$. We
then look for the quantum generalization of the condition $W^{\prime}(m)=0$,
that is, the coincidence between a root of the derivative of the superpotential
$W(\phi)$ and the mass $m$ of the quarks. There are $2n_c -n_f$ of such points
in the moduli space. We suggest that with an opportune choice of
superpotential, that selects one of these coincidence vacua in the moduli
space, it is possible to flow from $\N=2$ SQCD to $\N=1$ SQCD. Various
arguments support this claim. In particular, we shall determine the exact
location in the moduli space of these coincidence vacua and the precise
factorization of the SW curve.
| [
{
"created": "Wed, 16 Jul 2008 19:27:56 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Sep 2008 09:59:58 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Oct 2008 19:00:10 GMT",
"version": "v3"
},
{
"created": "Sun, 9 Nov 2008 02:48:02 GMT",
"version": "v4"
}
] | 2011-08-03 | [
[
"Bolognesi",
"Stefano",
""
]
] | We discuss, and propose a solution for, a still unresolved problem regarding the breaking from $\N=2$ super-QCD to $\N=1$ super-QCD. A mass term $W=\mu \Tr \Phi^2 / 2$ for the adjoint field, which classically does the required breaking perfectly, quantum mechanically leads to a relevant operator that, in the infrared, makes the theory flow away from pure $\N=1$ SQCD. To avoid this problem, we first need to extend the theory from $\SU (n_c)$ to $\U (n_c)$. We then look for the quantum generalization of the condition $W^{\prime}(m)=0$, that is, the coincidence between a root of the derivative of the superpotential $W(\phi)$ and the mass $m$ of the quarks. There are $2n_c -n_f$ of such points in the moduli space. We suggest that with an opportune choice of superpotential, that selects one of these coincidence vacua in the moduli space, it is possible to flow from $\N=2$ SQCD to $\N=1$ SQCD. Various arguments support this claim. In particular, we shall determine the exact location in the moduli space of these coincidence vacua and the precise factorization of the SW curve. |
0706.1310 | Susanne Reffert | S. Reffert | The Geometer's Toolkit to String Compactifications | Lecture notes based on lectures given at the Workshop on String and
M-Theory Approaches to Particle Physics and Astronomy, Galileo Galilei
Institute for Theoretical Physics, Arcetri (Firenze). 52 pages | null | null | null | hep-th | null | These lecture notes are meant to serve as an introduction to some geometric
constructions and techniques (in particular the ones of toric geometry) often
employed by the physicist working on string theory compactifications. The
emphasis is wholly on the geometry side, not on the physics.
The treated topics include toroidal orbifolds, methods of toric geometry,
desinglularization of toroidal orbifolds and their orientifold quotients.
| [
{
"created": "Sat, 9 Jun 2007 13:20:57 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Reffert",
"S.",
""
]
] | These lecture notes are meant to serve as an introduction to some geometric constructions and techniques (in particular the ones of toric geometry) often employed by the physicist working on string theory compactifications. The emphasis is wholly on the geometry side, not on the physics. The treated topics include toroidal orbifolds, methods of toric geometry, desinglularization of toroidal orbifolds and their orientifold quotients. |
1410.0960 | Andrew Tolley | Claudia de Rham, Matteo Fasiello and Andrew J. Tolley | Stable FLRW solutions in Generalized Massive Gravity | Invited contribution submitted to Int. J. Mod. Phys. D \c{opyright}
2014, World Scientific Publishing Company,
http://www.worldscientific.com/worldscinet/ijmpd | null | 10.1142/S0218271814430068 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present exact FLRW solutions in generalized massive gravity where the mass
parameters are naturally promoted to Lorentz-invariant functions of the
Stuckelberg fields. This new dependence relaxes the constraint that would
otherwise prevent massive gravity from possessing exact FLRW solutions. It does
so without the need to introduce additional degrees of freedom. We find
self-accelerating cosmological solutions and show that, with a mild restriction
on the region of phase space, these cosmological solutions exhibit full
stability, i.e. absence of ghosts and gradient instabilities for all the
tensor, vector and scalar modes, for all cosmic time. We perform the full
decoupling limit analysis, including vector degrees of freedom, which can be
used to confirm the existence of an active Vainshtein mechanism about these
solutions.
| [
{
"created": "Fri, 3 Oct 2014 20:00:02 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"de Rham",
"Claudia",
""
],
[
"Fasiello",
"Matteo",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | We present exact FLRW solutions in generalized massive gravity where the mass parameters are naturally promoted to Lorentz-invariant functions of the Stuckelberg fields. This new dependence relaxes the constraint that would otherwise prevent massive gravity from possessing exact FLRW solutions. It does so without the need to introduce additional degrees of freedom. We find self-accelerating cosmological solutions and show that, with a mild restriction on the region of phase space, these cosmological solutions exhibit full stability, i.e. absence of ghosts and gradient instabilities for all the tensor, vector and scalar modes, for all cosmic time. We perform the full decoupling limit analysis, including vector degrees of freedom, which can be used to confirm the existence of an active Vainshtein mechanism about these solutions. |
hep-th/9511065 | null | Fiorenzo Bastianelli | Tests for C-theorems in 4D | 10 pages, 2 figures, uses harvmac.tex, tables.tex, epsf.tex | Phys.Lett. B369 (1996) 249-254 | 10.1016/0370-2693(95)01516-7 | null | hep-th | null | A proof for a non-perturbative C-theorem in four dimensions, capturing the
irreversibility of the renormalization group flow in the space of unitary
quantum field theories, has not been accomplished, yet. We test the conjectured
C-theorems using the exact results recently obtained in N=1 supersymmetric
gauge theories. We find that the flow towards the infrared region is consistent
with the main proposals for a C-theorem.
| [
{
"created": "Fri, 10 Nov 1995 06:54:56 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bastianelli",
"Fiorenzo",
""
]
] | A proof for a non-perturbative C-theorem in four dimensions, capturing the irreversibility of the renormalization group flow in the space of unitary quantum field theories, has not been accomplished, yet. We test the conjectured C-theorems using the exact results recently obtained in N=1 supersymmetric gauge theories. We find that the flow towards the infrared region is consistent with the main proposals for a C-theorem. |
2405.20532 | Julien Serreau | Marcela Pel\'aez, Urko Reinosa, Julien Serreau, Matthieu Tissier,
Nicol\'as Wschebor | Quark confinement from an infrared safe approach | 6 pages; 3 figures | null | null | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the nonabelian dipole problem in the context of a simple
semiclassical approach which incorporates some essential features of the
infrared sector of Yang-Mills theories in the Landau gauge, in particular, the
fact that the running coupling remains of moderate size at infrared scales. We
obtain a simple flux-tube solution in a controlled approximation scheme, that
we compare to the results of lattice simulations.
| [
{
"created": "Thu, 30 May 2024 23:14:52 GMT",
"version": "v1"
}
] | 2024-06-03 | [
[
"Peláez",
"Marcela",
""
],
[
"Reinosa",
"Urko",
""
],
[
"Serreau",
"Julien",
""
],
[
"Tissier",
"Matthieu",
""
],
[
"Wschebor",
"Nicolás",
""
]
] | We revisit the nonabelian dipole problem in the context of a simple semiclassical approach which incorporates some essential features of the infrared sector of Yang-Mills theories in the Landau gauge, in particular, the fact that the running coupling remains of moderate size at infrared scales. We obtain a simple flux-tube solution in a controlled approximation scheme, that we compare to the results of lattice simulations. |
hep-th/0406044 | Klaus Rothe D. | Heinz J. Rothe and Klaus D. Rothe | Gauge Identities and the Dirac Conjecture | 21 pages | Annals Phys. 313 (2004) 479-496 | 10.1016/j.aop.2004.05.001 | HD-THEP-04-16 | hep-th | null | The gauge symmetries of a general dynamical system can be systematically
obtained following either a Hamiltonean or a Lagrangean approach. In the former
case, these symmetries are generated, according to Dirac's conjecture, by the
first class constraints. In the latter approach such local symmetries are
reflected in the existence of so called gauge identities. The connection
between the two becomes apparent, if one works with a first order Lagrangean
formulation. Our analysis applies to purely first class systems. We show that
Dirac's conjecture applies to first class constraints which are generated in a
particular iterative way, regardless of the possible existence of bifurcations
or multiple zeroes of these constraints. We illustrate these statements in
terms of several examples.
| [
{
"created": "Fri, 4 Jun 2004 13:39:36 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Rothe",
"Heinz J.",
""
],
[
"Rothe",
"Klaus D.",
""
]
] | The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are generated, according to Dirac's conjecture, by the first class constraints. In the latter approach such local symmetries are reflected in the existence of so called gauge identities. The connection between the two becomes apparent, if one works with a first order Lagrangean formulation. Our analysis applies to purely first class systems. We show that Dirac's conjecture applies to first class constraints which are generated in a particular iterative way, regardless of the possible existence of bifurcations or multiple zeroes of these constraints. We illustrate these statements in terms of several examples. |
1605.04526 | Shijun Mao | Shijun Mao | From Inverse to Delayed Magnetic Catalysis in Strong Magnetic Field | 5 pages, 5 figs | Phys. Rev. D 94, 036007 (2016) | 10.1103/PhysRevD.94.036007 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study magnetic field effect on chiral phase transition in a
Nambu--Jona-Lasinio model. In comparison with mean field approximation
containing quarks only, including mesons as quantum fluctuations in the model
leads to a transition from inverse to delayed magnetic catalysis at finite
temperature and delays the transition at finite baryon chemical potential. The
location of the critical end point depends on the the magnetic field
non-monotonously.
| [
{
"created": "Sun, 15 May 2016 11:47:23 GMT",
"version": "v1"
}
] | 2016-08-31 | [
[
"Mao",
"Shijun",
""
]
] | We study magnetic field effect on chiral phase transition in a Nambu--Jona-Lasinio model. In comparison with mean field approximation containing quarks only, including mesons as quantum fluctuations in the model leads to a transition from inverse to delayed magnetic catalysis at finite temperature and delays the transition at finite baryon chemical potential. The location of the critical end point depends on the the magnetic field non-monotonously. |
0809.0376 | Stephen G. Naculich | Stephen G. Naculich, Horatiu Nastase, and Howard J. Schnitzer | Subleading-color contributions to gluon-gluon scattering in N=4 SYM
theory and relations to N=8 supergravity | 30 pages; v2: corrections in sec. 6, minor addition in sec. 3.3 | JHEP0811:018,2008 | 10.1088/1126-6708/2008/11/018 | BRX-TH-598, BOW-PH-143, TIT/HEP-587 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the subleading-color (nonplanar) contributions to the four-gluon
scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the
formalisms of Catani and of Sterman and Tejeda-Yeomans, we develop explicit
expressions for the infrared-divergent contributions of all the
subleading-color L-loop amplitudes up to three loops, and make some conjectures
for the IR behavior for arbitrary L. We also derive several intriguing
relations between the subleading-color one- and two-loop four-gluon amplitudes
and the four-graviton amplitudes of N=8 supergravity. The exact one- and
two-loop N=8 supergravity amplitudes can be expressed in terms of the one- and
two-loop N-independent N=4 SYM amplitudes respectively, but the natural
generalization to higher loops fails, despite having a simple interpretation in
terms of the 't Hooft picture. We also find that, at least through two loops,
the subleading-color amplitudes of N=4 SYM theory have uniform
transcendentality (as do the leading-color amplitudes). Moreover, the N=4 SYM
Catani operators, which express the IR-divergent contributions of loop
amplitudes in terms of lower-loop amplitudes, are also shown to have uniform
transcendentality, and to be the maximum transcendentality piece of the QCD
Catani operators.
| [
{
"created": "Tue, 2 Sep 2008 14:37:45 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 2008 15:12:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Naculich",
"Stephen G.",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] | We study the subleading-color (nonplanar) contributions to the four-gluon scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the formalisms of Catani and of Sterman and Tejeda-Yeomans, we develop explicit expressions for the infrared-divergent contributions of all the subleading-color L-loop amplitudes up to three loops, and make some conjectures for the IR behavior for arbitrary L. We also derive several intriguing relations between the subleading-color one- and two-loop four-gluon amplitudes and the four-graviton amplitudes of N=8 supergravity. The exact one- and two-loop N=8 supergravity amplitudes can be expressed in terms of the one- and two-loop N-independent N=4 SYM amplitudes respectively, but the natural generalization to higher loops fails, despite having a simple interpretation in terms of the 't Hooft picture. We also find that, at least through two loops, the subleading-color amplitudes of N=4 SYM theory have uniform transcendentality (as do the leading-color amplitudes). Moreover, the N=4 SYM Catani operators, which express the IR-divergent contributions of loop amplitudes in terms of lower-loop amplitudes, are also shown to have uniform transcendentality, and to be the maximum transcendentality piece of the QCD Catani operators. |
hep-th/9406117 | null | A. Barducci, R. Casalbuoni, R. Gatto, M. Modugno and G. Pettini | Thermodynamics of the Massive Gross-Neveu Model | 34 pages (+18 figures, available upon request to pettini@fi.infn.it),
LATEX file, uses art12a.sty, macro included, UGVA-DPT 1994/06-854 | Phys.Rev. D51 (1995) 3042-3060 | 10.1103/PhysRevD.51.3042 | null | hep-th | null | We study the thermodynamics of massive Gross-Neveu models with explicitly
broken discrete or continuous chiral symmetries for finite temperature and
fermion densities. The large $N$ limit is discussed bearing attention to the
no-go theorems for symmetry breaking in two dimensions which apply to the
massless cases. The main purpose of the study is to serve as analytical
orientation for the more complex problem of chiral transition in
$4-$dimensional QCD with quarks. For any non-vanishing fermion mass we find, at
finite densities, lines of first order phase transitions. For small mass values
traces of would-be second order transitions and a tricritical point are
recognizable. We study the thermodynamics of these models, and in the model
with broken continuous chiral symmetry we examine the properties of the pion
like state.
| [
{
"created": "Fri, 17 Jun 1994 14:31:13 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Barducci",
"A.",
""
],
[
"Casalbuoni",
"R.",
""
],
[
"Gatto",
"R.",
""
],
[
"Modugno",
"M.",
""
],
[
"Pettini",
"G.",
""
]
] | We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems for symmetry breaking in two dimensions which apply to the massless cases. The main purpose of the study is to serve as analytical orientation for the more complex problem of chiral transition in $4-$dimensional QCD with quarks. For any non-vanishing fermion mass we find, at finite densities, lines of first order phase transitions. For small mass values traces of would-be second order transitions and a tricritical point are recognizable. We study the thermodynamics of these models, and in the model with broken continuous chiral symmetry we examine the properties of the pion like state. |
hep-th/0107196 | Ellwanger | U. Ellwanger, N. Wschebor | Confinement with Kalb - Ramond Fields | corrected misprints and references | JHEP 0110:023,2001 | 10.1088/1126-6708/2001/10/023 | LPT Orsay 01-69 | hep-th | null | We consider models with N U(1) gauge fields A_{\mu}^n, N Kalb-Ramond fields
B_{\mu \nu}^n, an arbitrary bare action and a fixed UV cutoff \Lambda. Under
mild assumptions these can be obtained as effective low energy theories of
SU(N+1) Yang Mills theories in the maximal abelian gauge. For a large class of
bare actions they can be solved in the large N limit and exhibit confinement.
The confining phase is characterized by an approximate ``low energy'' vector
gauge symmetry under which the Kalb-Ramond fields B_{\mu\nu}^n transform. The
same symmetry allows for a duality transformation showing that magnetic
monopoles have condensed. The models allow for various mechanisms of
confinement, depending on which sources for A_{\mu}^n or B_{\mu \nu}^n are
switched on, but the area law for the Wilson loop is obtained in any case.
| [
{
"created": "Mon, 23 Jul 2001 15:07:31 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2001 15:07:37 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Ellwanger",
"U.",
""
],
[
"Wschebor",
"N.",
""
]
] | We consider models with N U(1) gauge fields A_{\mu}^n, N Kalb-Ramond fields B_{\mu \nu}^n, an arbitrary bare action and a fixed UV cutoff \Lambda. Under mild assumptions these can be obtained as effective low energy theories of SU(N+1) Yang Mills theories in the maximal abelian gauge. For a large class of bare actions they can be solved in the large N limit and exhibit confinement. The confining phase is characterized by an approximate ``low energy'' vector gauge symmetry under which the Kalb-Ramond fields B_{\mu\nu}^n transform. The same symmetry allows for a duality transformation showing that magnetic monopoles have condensed. The models allow for various mechanisms of confinement, depending on which sources for A_{\mu}^n or B_{\mu \nu}^n are switched on, but the area law for the Wilson loop is obtained in any case. |
1308.5251 | Stanley J. Brodsky | Stanley J. Brodsky, Guy F. de T\'eramond, and Hans G\"unter Dosch | Light-Front Holographic QCD and the Confinement Potential | Presented by SJB at Light-Cone 2012: Relativistic Hadronic and
Particle Physics, 10 to 15 December, 2012 at the University of Delhi, New
Delhi, India | null | 10.1016/j.nuclphysbps.2014.04.001 | SLAC-PUB-15715 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Light-Front Hamiltonian theory, derived from the quantization of the QCD
Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous
frame-independent framework for solving nonperturbative QCD. The eigenvalues of
the light-front QCD Hamiltonian predict the hadronic mass spectrum, and the
eigensolutions provide the light-front wavefunctions describing hadron
structure. The valence Fock-state wavefunctions of the light-front QCD
Hamiltonian satisfy a single-variable relativistic equation of motion,
analogous to the nonrelativistic radial Schrodinger equation, with an effective
confining potential U which systematically incorporates the effects of higher
quark and gluon Fock states. The potential U has a unique form if one requires
that the action for zero quark mass remains conformally invariant. The
holographic mapping of gravity in AdS space to QCD with a specific soft-wall
dilaton yields the same light-front Schrodinger equation. It also gives a
precise relation between the bound-state amplitudes in the fifth dimension z of
AdS space and the boost-invariant light-front wavefunctions describing the
internal structure of hadrons in physical space-time. The elastic and
transition form factors of the pion and the nucleons are found to be well
described in this framework. The predictions include a zero-mass pion in the
chiral limit, and linear Regge trajectories with the same slope in the radial
quantum number n and orbital angular momentum L. The light-front AdS/QCD
holographic approach thus gives a frame-independent representation of
color-confining dynamics and the excitation spectra of light-quark hadrons in
terms of a single mass parameter. We also discuss the implications of the
underlying conformal template of QCD for renormalization scale-setting and the
implications of light-front quantization for the value of the cosmological
constant.
| [
{
"created": "Fri, 23 Aug 2013 21:52:57 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Brodsky",
"Stanley J.",
""
],
[
"de Téramond",
"Guy F.",
""
],
[
"Dosch",
"Hans Günter",
""
]
] | Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front QCD Hamiltonian predict the hadronic mass spectrum, and the eigensolutions provide the light-front wavefunctions describing hadron structure. The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of motion, analogous to the nonrelativistic radial Schrodinger equation, with an effective confining potential U which systematically incorporates the effects of higher quark and gluon Fock states. The potential U has a unique form if one requires that the action for zero quark mass remains conformally invariant. The holographic mapping of gravity in AdS space to QCD with a specific soft-wall dilaton yields the same light-front Schrodinger equation. It also gives a precise relation between the bound-state amplitudes in the fifth dimension z of AdS space and the boost-invariant light-front wavefunctions describing the internal structure of hadrons in physical space-time. The elastic and transition form factors of the pion and the nucleons are found to be well described in this framework. The predictions include a zero-mass pion in the chiral limit, and linear Regge trajectories with the same slope in the radial quantum number n and orbital angular momentum L. The light-front AdS/QCD holographic approach thus gives a frame-independent representation of color-confining dynamics and the excitation spectra of light-quark hadrons in terms of a single mass parameter. We also discuss the implications of the underlying conformal template of QCD for renormalization scale-setting and the implications of light-front quantization for the value of the cosmological constant. |
2112.14130 | Jin-Beom Bae | Jin-Beom Bae, Zhihao Duan, Sungjay Lee | Can the energy bound $E \geq 0$ imply supersymmetry? | 6 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilize the integrality conjecture to show that the torus partition
function of a fermionic rational conformal theory in the Ramond-Ramond sector
becomes a constant when the bound $h^R \ge \frac{c}{24}$ is satisfied, where
$h^R$ denote the conformal weights of Ramond states and $c$ is the central
charge. The constant-valued Ramond-Ramond partition function strongly suggests
the presence of supersymmetry unless a given theory has free fermions. The
lower bound $h^R \ge \frac{c}{24}$ can then be identified with the unitarity
bound of $\mathcal{N}=1$ supersymmetry. We thus propose that, for rational CFTs
without free fermions, $(h^R-c/24) \geq 0$ can imply supersymmetry.
| [
{
"created": "Tue, 28 Dec 2021 13:16:09 GMT",
"version": "v1"
}
] | 2021-12-30 | [
[
"Bae",
"Jin-Beom",
""
],
[
"Duan",
"Zhihao",
""
],
[
"Lee",
"Sungjay",
""
]
] | We utilize the integrality conjecture to show that the torus partition function of a fermionic rational conformal theory in the Ramond-Ramond sector becomes a constant when the bound $h^R \ge \frac{c}{24}$ is satisfied, where $h^R$ denote the conformal weights of Ramond states and $c$ is the central charge. The constant-valued Ramond-Ramond partition function strongly suggests the presence of supersymmetry unless a given theory has free fermions. The lower bound $h^R \ge \frac{c}{24}$ can then be identified with the unitarity bound of $\mathcal{N}=1$ supersymmetry. We thus propose that, for rational CFTs without free fermions, $(h^R-c/24) \geq 0$ can imply supersymmetry. |
1612.01247 | Cheng-Jian Luo | Cheng-Jian Luo, Xiao-Mei Kuang, Fu-Wen Shu | Charged Lifshitz black hole and probed Lorentz-violation fermions from
holography | minor revisions, references added, published version | Phys. Lett. B 769 (2017) 7 | 10.1016/j.physletb.2017.03.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analytically obtain a new charged Lifshtitz solution by adding a
non-relativistic Maxwell field in Horava-Lifshitz gravity. The black hole
exhibits an anisotropic scaling between space and time (Lifshitz scaling) in
the UV limit, while in the IR limit, the Lorentz invariance is recovered. We
introduce the probed Lorentz-violation fermions into the background and
holographically investigate the spectral properties of the dual fermionic
operator. The Lorentz-violation of fermions will enhance the peak and
corresponds larger fermi momentum, which compensates the non-relativistic bulk
effect of the dynamical exponent. For a fixed $z$, when the Lorentz-violation
of fermions increases to a critical value, the behavior of the low energy
excitation goes from a non-Fermi liquid type to a fermi liquid type, which
implies a kind of phase transition.
| [
{
"created": "Mon, 5 Dec 2016 04:39:02 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2017 04:16:15 GMT",
"version": "v2"
}
] | 2017-03-24 | [
[
"Luo",
"Cheng-Jian",
""
],
[
"Kuang",
"Xiao-Mei",
""
],
[
"Shu",
"Fu-Wen",
""
]
] | We analytically obtain a new charged Lifshtitz solution by adding a non-relativistic Maxwell field in Horava-Lifshitz gravity. The black hole exhibits an anisotropic scaling between space and time (Lifshitz scaling) in the UV limit, while in the IR limit, the Lorentz invariance is recovered. We introduce the probed Lorentz-violation fermions into the background and holographically investigate the spectral properties of the dual fermionic operator. The Lorentz-violation of fermions will enhance the peak and corresponds larger fermi momentum, which compensates the non-relativistic bulk effect of the dynamical exponent. For a fixed $z$, when the Lorentz-violation of fermions increases to a critical value, the behavior of the low energy excitation goes from a non-Fermi liquid type to a fermi liquid type, which implies a kind of phase transition. |
hep-th/9203005 | Konstantinos Anagnostopoulos | K.N. Anagnostopoulos and M. J. Bowick | Unitary One Matrix Models: String Equations and Flows | 20 pages (Invited talk delivered by M. J. Bowick at the Vth Regional
Conference on Mathematical Physics, Edirne Turkey: December 15-22, 1991.) | null | null | null | hep-th | null | We review the Symmetric Unitary One Matrix Models. In particular we discuss
the string equation in the operator formalism, the mKdV flows and the Virasoro
Constraints. We focus on the $\t$-function formalism for the flows and we
describe its connection to the (big cell of the) Sato Grassmannian $\Gr$ via
the Plucker embedding of $\Gr$ into a fermionic Fock space. Then the space of
solutions to the string equation is an explicitly computable subspace of
$\Gr\times\Gr$ which is invariant under the flows.
| [
{
"created": "Mon, 2 Mar 1992 23:36:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Anagnostopoulos",
"K. N.",
""
],
[
"Bowick",
"M. J.",
""
]
] | We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the $\t$-function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian $\Gr$ via the Plucker embedding of $\Gr$ into a fermionic Fock space. Then the space of solutions to the string equation is an explicitly computable subspace of $\Gr\times\Gr$ which is invariant under the flows. |
hep-th/0207090 | Mark Srednicki | Mark Srednicki | On the Observability of Quantum Information Radiated from a Black Hole | 7 pages, no figures | null | null | null | hep-th gr-qc nlin.CD quant-ph | null | We propose a resolution to the black-hole information-loss paradox: in one
formulation of physical theory, information is preserved and macroscopic
causality is violated; in another, causality is preserved and pure states
evolve to mixed states. However, no experiments can be performed that would
distinguish these two descriptions. We explain how this could work in practice;
a key ingredient is the suggested quantum-chaotic nature of black holes.
| [
{
"created": "Wed, 10 Jul 2002 12:20:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Srednicki",
"Mark",
""
]
] | We propose a resolution to the black-hole information-loss paradox: in one formulation of physical theory, information is preserved and macroscopic causality is violated; in another, causality is preserved and pure states evolve to mixed states. However, no experiments can be performed that would distinguish these two descriptions. We explain how this could work in practice; a key ingredient is the suggested quantum-chaotic nature of black holes. |
0910.5401 | Jan-Eric Daum | Jan-Eric Daum and Martin Reuter | The Effective Potential of the Conformal Factor in Asymptotically Safe
Quantum Gravity | 15 pages, 1 figure, talk given by Jan-Eric Daum at CLAQG08 | PoS CLAQG08:013,2011 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effective potential of the conformal factor in the effective average
action approach to Quantum Einstein Gravity is discussed. It is shown, without
invoking any truncation or other approximations, that if the theory has has a
non-Gaussian ultraviolet fixed point and is asymptotically safe the potential
has a characteristic behavior near the origin. This behavior might be
observable in numerical simulations.
| [
{
"created": "Wed, 28 Oct 2009 16:51:34 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Oct 2009 08:43:59 GMT",
"version": "v2"
}
] | 2011-08-17 | [
[
"Daum",
"Jan-Eric",
""
],
[
"Reuter",
"Martin",
""
]
] | The effective potential of the conformal factor in the effective average action approach to Quantum Einstein Gravity is discussed. It is shown, without invoking any truncation or other approximations, that if the theory has has a non-Gaussian ultraviolet fixed point and is asymptotically safe the potential has a characteristic behavior near the origin. This behavior might be observable in numerical simulations. |
hep-th/0007118 | John Schwarz | John H. Schwarz | String Theory: The Early Years | 10 pages; Presented at Symposium for L. Susskind's 60th Birthday | null | null | null | hep-th | null | Lenny Susskind has made many important contributions to theoretical physics
during the past 35 years. In this talk I will discuss the early history of
string theory (1968-72) emphasizing Susskind's contributions.
| [
{
"created": "Fri, 14 Jul 2000 21:41:31 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 2000 21:14:30 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jul 2000 18:41:35 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Schwarz",
"John H.",
""
]
] | Lenny Susskind has made many important contributions to theoretical physics during the past 35 years. In this talk I will discuss the early history of string theory (1968-72) emphasizing Susskind's contributions. |
0903.5483 | Kunihito Uzawa | Kei-ichi Maeda, Nobuyoshi Ohta, Kunihito Uzawa | Dynamics of intersecting brane systems -- Classification and their
applications -- | 44 pages; v2: minor corrections, references added | JHEP 0906:051,2009 | 10.1088/1126-6708/2009/06/051 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present dynamical intersecting brane solutions in higher-dimensional
gravitational theory coupled to dilaton and several forms. Assuming the forms
of metric, form fields, and dilaton field, we give a complete classification of
dynamical intersecting brane solutions with/without M-waves and Kaluza-Klein
monopoles in eleven-dimensional supergravity. We apply these solutions to
cosmology and black holes. It is shown that these give FRW cosmological
solutions and in some cases Lorentz invariance is broken in our world. If we
regard the bulk space as our universe, we may interpret them as black holes in
the expanding universe. We also discuss lower-dimensional effective theories
and point out naive effective theories may give us some solutions which are
inconsistent with the higher-dimensional Einstein equations.
| [
{
"created": "Tue, 31 Mar 2009 14:28:05 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Apr 2009 07:20:38 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Maeda",
"Kei-ichi",
""
],
[
"Ohta",
"Nobuyoshi",
""
],
[
"Uzawa",
"Kunihito",
""
]
] | We present dynamical intersecting brane solutions in higher-dimensional gravitational theory coupled to dilaton and several forms. Assuming the forms of metric, form fields, and dilaton field, we give a complete classification of dynamical intersecting brane solutions with/without M-waves and Kaluza-Klein monopoles in eleven-dimensional supergravity. We apply these solutions to cosmology and black holes. It is shown that these give FRW cosmological solutions and in some cases Lorentz invariance is broken in our world. If we regard the bulk space as our universe, we may interpret them as black holes in the expanding universe. We also discuss lower-dimensional effective theories and point out naive effective theories may give us some solutions which are inconsistent with the higher-dimensional Einstein equations. |
0802.2152 | Yong-Wan Kim | Yun Soo Myung, Yong-Wan Kim, Young-Jai Park | Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black
holes | 18 pages, 5 figures, version to appear in PLB | Phys.Lett.B663:342-350,2008 | 10.1016/j.physletb.2008.04.032 | null | hep-th gr-qc | null | We resolve the controversial issue of the geometric approach to the black
hole thermodynamics. The geometric description of the equilibrium
thermodynamics comes from Ruppeiner geometry based on a metric on the
thermodynamic state space. For this purpose, we consider the
Reissner-Nordstr\"om-AdS (RN-AdS) black hole which provides two different
ensembles: canonical ensemble for fixed-charge case and grand canonical
ensemble for fixed-potential case. Two cases are independent and cannot be
mixed into each other. Hence, we calculate different Ruppeiner curvatures for
two ensembles. However, we could not find the consistent behaviors of Ruppeiner
curvature corresponding to those of heat capacity. Alternatively, instead of
the Ruppeiner curvature, we newly propose the curvature scalar in the 2D
dilaton gravity approach which shows the features of extremal, Davies and
minimum temperature points of RN-AdS black hole, clearly.
| [
{
"created": "Fri, 15 Feb 2008 09:02:58 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2008 05:51:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Myung",
"Yun Soo",
""
],
[
"Kim",
"Yong-Wan",
""
],
[
"Park",
"Young-Jai",
""
]
] | We resolve the controversial issue of the geometric approach to the black hole thermodynamics. The geometric description of the equilibrium thermodynamics comes from Ruppeiner geometry based on a metric on the thermodynamic state space. For this purpose, we consider the Reissner-Nordstr\"om-AdS (RN-AdS) black hole which provides two different ensembles: canonical ensemble for fixed-charge case and grand canonical ensemble for fixed-potential case. Two cases are independent and cannot be mixed into each other. Hence, we calculate different Ruppeiner curvatures for two ensembles. However, we could not find the consistent behaviors of Ruppeiner curvature corresponding to those of heat capacity. Alternatively, instead of the Ruppeiner curvature, we newly propose the curvature scalar in the 2D dilaton gravity approach which shows the features of extremal, Davies and minimum temperature points of RN-AdS black hole, clearly. |
hep-th/9702168 | Klaus Behrndt | Klaus Behrndt and Ingo Gaida | Subleading contributions from instanton corrections in N = 2
supersymmetric black hole entropy | 8 pages, Latex | Phys.Lett. B401 (1997) 263-267 | 10.1016/S0370-2693(97)00428-0 | null | hep-th | null | We present subleading corrections to the N=2 supersymmetric black hole
entropy. These subleading contributions correspond to instanton corrections of
the Type II string theory. In particular we consider an axion free black hole
solution of low-energy effective Type II string theory. We present a procedure
to include successively all instanton corrections. Expanding these corrections
at particular points in moduli space yields polynomial and logarithmic
instanton corrections to the classical black hole entropy. We comment on a
microscopic interpretation of these instanton corrections and find that the
logarithmic corrections correspond to subleading terms in the degeneracy of the
spectrum of an underlying quantum theory.
| [
{
"created": "Mon, 24 Feb 1997 14:22:07 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Behrndt",
"Klaus",
""
],
[
"Gaida",
"Ingo",
""
]
] | We present subleading corrections to the N=2 supersymmetric black hole entropy. These subleading contributions correspond to instanton corrections of the Type II string theory. In particular we consider an axion free black hole solution of low-energy effective Type II string theory. We present a procedure to include successively all instanton corrections. Expanding these corrections at particular points in moduli space yields polynomial and logarithmic instanton corrections to the classical black hole entropy. We comment on a microscopic interpretation of these instanton corrections and find that the logarithmic corrections correspond to subleading terms in the degeneracy of the spectrum of an underlying quantum theory. |
0710.1673 | Shijong Ryang | Shijong Ryang | Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface | 17 pages, LaTeX, no figures | Phys.Lett.B659:894-900,2008 | 10.1016/j.physletb.2007.11.097 | null | hep-th | null | By applying the conformal SO(2,4) transformations to the elementary one-cusp
Wilson loop surface we construct various two-cusp and four-cusp Wilson loop
surface configurations in AdS_5 and demonstrate that they solve the string
equations of the Nambu-Goto string action. The conformal boosts of the basic
four-cusp Wilson loop surface with a square-form projection generate various
four-cusp Wilson loop surfaces with projections of the rescaled square, the
rhombus and the trapezium, on which surfaces the classical Euclidean Nambu-Goto
string actions in the IR dimensional regularization are evaluated.
| [
{
"created": "Tue, 9 Oct 2007 02:31:42 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ryang",
"Shijong",
""
]
] | By applying the conformal SO(2,4) transformations to the elementary one-cusp Wilson loop surface we construct various two-cusp and four-cusp Wilson loop surface configurations in AdS_5 and demonstrate that they solve the string equations of the Nambu-Goto string action. The conformal boosts of the basic four-cusp Wilson loop surface with a square-form projection generate various four-cusp Wilson loop surfaces with projections of the rescaled square, the rhombus and the trapezium, on which surfaces the classical Euclidean Nambu-Goto string actions in the IR dimensional regularization are evaluated. |
1305.1577 | Jorge Alfaro | Jorge Alfaro and Victor O. Rivelles | Non Abelian Fields in Very Special Relativity | 11 pages, latex | Physical Review D 88, 085023 (2013) | 10.1103/PhysRevD.88.085023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study non-Abelian fields in the context of very special relativity (VSR).
For this we define the covariant derivative and the gauge field gauge
transformations, both of them involving a fixed null vector $n_{\mu}$, related
to the VSR breaking of the Lorentz group to the Hom(2) or Sim(2) subgroups. As
in the Abelian case the gauge field becomes massive. Moreover we show that the
VSR gauge transformations form a closed algebra. We then write actions coupling
the gauge field to various matter fields (bosonic and fermionic). We mention
how we can use the spontaneous symmetry breaking mechanism to give a flavor
dependent VSR mass to the gauge bosons. Finally, we quantize the model using
the BRST formalism to fix the gauge. The model is renormalizable and unitary
and for non abelian groups, asymptotically free.
| [
{
"created": "Tue, 7 May 2013 16:41:48 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Nov 2013 19:10:28 GMT",
"version": "v2"
}
] | 2013-11-14 | [
[
"Alfaro",
"Jorge",
""
],
[
"Rivelles",
"Victor O.",
""
]
] | We study non-Abelian fields in the context of very special relativity (VSR). For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector $n_{\mu}$, related to the VSR breaking of the Lorentz group to the Hom(2) or Sim(2) subgroups. As in the Abelian case the gauge field becomes massive. Moreover we show that the VSR gauge transformations form a closed algebra. We then write actions coupling the gauge field to various matter fields (bosonic and fermionic). We mention how we can use the spontaneous symmetry breaking mechanism to give a flavor dependent VSR mass to the gauge bosons. Finally, we quantize the model using the BRST formalism to fix the gauge. The model is renormalizable and unitary and for non abelian groups, asymptotically free. |
2402.05190 | K\'evin Nguyen | Emil Have, Kevin Nguyen, Stefan Prohazka, Jakob Salzer | Massive carrollian fields at timelike infinity | 37 pages, 4 figures; v2: added comments, matches published version | null | null | UWThPh 2024-6 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by flat space holography, we demonstrate that massive spin-$s$
fields in Minkowski space near timelike infinity are massive carrollian fields
on the carrollian counterpart of anti-de Sitter space called $\mathsf{Ti}$. Its
isometries form the Poincar\'e group, and we construct the carrollian spin-$s$
fields using the method of induced representations. We provide a dictionary
between massive carrollian fields on $\mathsf{Ti}$ and massive fields in
Minkowski space, as well as to fields in the conformal primary basis used in
celestial holography. We show that the symmetries of the carrollian structure
naturally account for the BMS charges underlying the soft graviton theorem.
Finally, we initiate a discussion of the correspondence between massive
scattering amplitudes and carrollian correlation functions on $\mathsf{Ti}$,
and introduce physical definitions of detector operators using a suitable
notion of conserved carrollian energy-momentum tensor.
| [
{
"created": "Wed, 7 Feb 2024 19:02:48 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2024 13:35:56 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Have",
"Emil",
""
],
[
"Nguyen",
"Kevin",
""
],
[
"Prohazka",
"Stefan",
""
],
[
"Salzer",
"Jakob",
""
]
] | Motivated by flat space holography, we demonstrate that massive spin-$s$ fields in Minkowski space near timelike infinity are massive carrollian fields on the carrollian counterpart of anti-de Sitter space called $\mathsf{Ti}$. Its isometries form the Poincar\'e group, and we construct the carrollian spin-$s$ fields using the method of induced representations. We provide a dictionary between massive carrollian fields on $\mathsf{Ti}$ and massive fields in Minkowski space, as well as to fields in the conformal primary basis used in celestial holography. We show that the symmetries of the carrollian structure naturally account for the BMS charges underlying the soft graviton theorem. Finally, we initiate a discussion of the correspondence between massive scattering amplitudes and carrollian correlation functions on $\mathsf{Ti}$, and introduce physical definitions of detector operators using a suitable notion of conserved carrollian energy-momentum tensor. |
1301.5002 | Christopher Herzog | Christopher P. Herzog and Kuo-Wei Huang | Stress Tensors from Trace Anomalies in Conformal Field Theories | 10 pages; v2 refs and footnote added; v3 discussion of weak coupling
calculation added | null | 10.1103/PhysRevD.87.081901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using trace anomalies, we determine the vacuum stress tensors of arbitrary
even dimensional conformal field theories in Weyl flat backgrounds. We
demonstrate a simple relation between the Casimir energy on the real line times
a sphere and the type A anomaly coefficient. This relation generalizes earlier
results in two and four dimensions. These field theory results for the Casimir
are shown to be consistent with holographic predictions in two, four, and six
dimensions.
| [
{
"created": "Mon, 21 Jan 2013 21:03:32 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2013 16:23:10 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Apr 2013 18:51:37 GMT",
"version": "v3"
}
] | 2013-05-01 | [
[
"Herzog",
"Christopher P.",
""
],
[
"Huang",
"Kuo-Wei",
""
]
] | Using trace anomalies, we determine the vacuum stress tensors of arbitrary even dimensional conformal field theories in Weyl flat backgrounds. We demonstrate a simple relation between the Casimir energy on the real line times a sphere and the type A anomaly coefficient. This relation generalizes earlier results in two and four dimensions. These field theory results for the Casimir are shown to be consistent with holographic predictions in two, four, and six dimensions. |
1606.02203 | Anirban Basu | Anirban Basu | Poisson equation for the three loop ladder diagram in string theory at
genus one | 23 pages, LaTeX, 29 figures | null | 10.1142/S0217751X16501694 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three loop ladder diagram is a graph with six links and four cubic
vertices that contributes to the D^{12} R^4 amplitude at genus one in type II
string theory. The vertices represent the insertion points of vertex operators
on the toroidal worldsheet and the links represent scalar Green functions
connecting them. By using the properties of the Green function and manipulating
the various expressions, we obtain a modular invariant Poisson equation
satisfied by this diagram, with source terms involving one, two and three loop
diagrams. Unlike the source terms in the Poisson equations for diagrams at
lower orders in the momentum expansion or the Mercedes diagram, a particular
source term involves a five point function containing a holomorphic and a
antiholomorphic worldsheet derivative acting on different Green functions. We
also obtain simple equalities between topologically distinct diagrams, and
consider some elementary examples.
| [
{
"created": "Tue, 7 Jun 2016 16:24:58 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Dec 2016 07:13:35 GMT",
"version": "v2"
}
] | 2016-12-06 | [
[
"Basu",
"Anirban",
""
]
] | The three loop ladder diagram is a graph with six links and four cubic vertices that contributes to the D^{12} R^4 amplitude at genus one in type II string theory. The vertices represent the insertion points of vertex operators on the toroidal worldsheet and the links represent scalar Green functions connecting them. By using the properties of the Green function and manipulating the various expressions, we obtain a modular invariant Poisson equation satisfied by this diagram, with source terms involving one, two and three loop diagrams. Unlike the source terms in the Poisson equations for diagrams at lower orders in the momentum expansion or the Mercedes diagram, a particular source term involves a five point function containing a holomorphic and a antiholomorphic worldsheet derivative acting on different Green functions. We also obtain simple equalities between topologically distinct diagrams, and consider some elementary examples. |
1612.04252 | Yang Zhang | Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang | Azurite: An algebraic geometry based package for finding bases of loop
integrals | Version 1.1.0 of the package Azurite, with parallel computations. It
can be downloaded from
https://bitbucket.org/yzhphy/azurite/raw/master/release/Azurite_1.1.0.tar.gz | Comput.Phys.Commun. 221 (2017) 203-215 | 10.1016/j.cpc.2017.08.013 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For any given Feynman graph, the set of integrals with all possible powers of
the propagators spans a vector space of finite dimension. We introduce the
package {\sc Azurite} ({\bf A ZUR}ich-bred method for finding master {\bf
I}n{\bf TE}grals), which efficiently finds a basis of this vector space. It
constructs the needed integration-by-parts (IBP) identities on a set of
generalized-unitarity cuts. It is based on syzygy computations and analyses of
the symmetries of the involved Feynman diagrams and is powered by the computer
algebra systems {\sc Singular} and {\sc Mathematica}. It can moreover
analytically calculate the part of the IBP identities that is supported on the
cuts.
| [
{
"created": "Tue, 13 Dec 2016 16:00:57 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2017 19:44:37 GMT",
"version": "v2"
}
] | 2018-08-02 | [
[
"Georgoudis",
"Alessandro",
""
],
[
"Larsen",
"Kasper J.",
""
],
[
"Zhang",
"Yang",
""
]
] | For any given Feynman graph, the set of integrals with all possible powers of the propagators spans a vector space of finite dimension. We introduce the package {\sc Azurite} ({\bf A ZUR}ich-bred method for finding master {\bf I}n{\bf TE}grals), which efficiently finds a basis of this vector space. It constructs the needed integration-by-parts (IBP) identities on a set of generalized-unitarity cuts. It is based on syzygy computations and analyses of the symmetries of the involved Feynman diagrams and is powered by the computer algebra systems {\sc Singular} and {\sc Mathematica}. It can moreover analytically calculate the part of the IBP identities that is supported on the cuts. |
hep-th/0002188 | Jorgen Rasmussen | Jorgen Rasmussen | Constructing Classical and Quantum Superconformal Algebras on the
Boundary of AdS_3 | 29 pages, LaTeX, extends hep-th/9905181 | Nucl.Phys.B582:649-676,2000 | 10.1016/S0550-3213(00)00322-9 | TIFR/TH/99-58 | hep-th math.QA | null | Motivated by recent progress on the correspondence between string theory on
anti-de Sitter space and conformal field theory, we address the question of
constructing space-time N extended superconformal algebras on the boundary of
AdS_3. Based on a free field realization of an affine SL(2|N/2) current
superalgebra residing on the world sheet, we construct explicitly the Virasoro
generators and the N supercurrents. N is even. The resulting superconformal
algebra has an affine SL(N/2) \otimes U(1) current algebra as an internal
subalgebra. Though we do not complete the general superalgebra, we outline the
underlying construction and present supporting evidence for its validity.
Particular attention is paid to its BRST invariance. In the classical limit
where the free field realization may be substituted by a differential operator
realization, we discuss further classes of generators needed in the closure of
the algebra. We find sets of half-integer spin fields, and for N>4 these
include generators of negative weights. An interesting property of the
construction is that for N>2 it treats the supercurrents in an asymmetric way.
Thus, we are witnessing a new class of superconformal algebras not obtainable
by conventional Hamiltonian reduction. The complete classical algebra is
provided in the case N=4 and is of a new and asymmetric form.
| [
{
"created": "Tue, 22 Feb 2000 22:28:18 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Rasmussen",
"Jorgen",
""
]
] | Motivated by recent progress on the correspondence between string theory on anti-de Sitter space and conformal field theory, we address the question of constructing space-time N extended superconformal algebras on the boundary of AdS_3. Based on a free field realization of an affine SL(2|N/2) current superalgebra residing on the world sheet, we construct explicitly the Virasoro generators and the N supercurrents. N is even. The resulting superconformal algebra has an affine SL(N/2) \otimes U(1) current algebra as an internal subalgebra. Though we do not complete the general superalgebra, we outline the underlying construction and present supporting evidence for its validity. Particular attention is paid to its BRST invariance. In the classical limit where the free field realization may be substituted by a differential operator realization, we discuss further classes of generators needed in the closure of the algebra. We find sets of half-integer spin fields, and for N>4 these include generators of negative weights. An interesting property of the construction is that for N>2 it treats the supercurrents in an asymmetric way. Thus, we are witnessing a new class of superconformal algebras not obtainable by conventional Hamiltonian reduction. The complete classical algebra is provided in the case N=4 and is of a new and asymmetric form. |
hep-th/9712227 | Jonathan Mark Evans | Jonathan M. Evans (DAMTP, Cambridge) and Jens Ole Madsen (Universidade
de Santiago de Compostela) | Quantum Integrability of Coupled N=1 Super Sine/Sinh-Gordon Theories and
the Lie Superalgebra D(2,1;\A) | 25 pages, LaTeX | Int.J.Mod.Phys. A14 (1999) 2551-2580 | 10.1142/S0217751X99001275 | DAMTP/97-147, US-FT/35-97 | hep-th | null | We discuss certain integrable quantum field theories in (1+1)-dimensions
consisting of coupled sine/sinh-Gordon theories with N=1 supersymmetry,
positive kinetic energy, and bosonic potentials which are bounded from below.
We show that theories of this type can be constructed as Toda models based on
the exceptional affine Lie superalgebra $D(2,1;\A)^{(1)}$ (or on related
algebras which can be obtained as various limits) provided one adopts
appropriate reality conditions for the fields. In particular, there is a
continuous family of such models in which the couplings and mass ratios all
depend on the parameter $\A$. The structure of these models is analyzed in some
detail at the classical level, including the construction of conserved currents
with spins up to 4. We then show that these currents generalize to the quantum
theory, thus demonstrating quantum-integrability of the models.
| [
{
"created": "Wed, 24 Dec 1997 12:18:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Evans",
"Jonathan M.",
"",
"DAMTP, Cambridge"
],
[
"Madsen",
"Jens Ole",
"",
"Universidade\n de Santiago de Compostela"
]
] | We discuss certain integrable quantum field theories in (1+1)-dimensions consisting of coupled sine/sinh-Gordon theories with N=1 supersymmetry, positive kinetic energy, and bosonic potentials which are bounded from below. We show that theories of this type can be constructed as Toda models based on the exceptional affine Lie superalgebra $D(2,1;\A)^{(1)}$ (or on related algebras which can be obtained as various limits) provided one adopts appropriate reality conditions for the fields. In particular, there is a continuous family of such models in which the couplings and mass ratios all depend on the parameter $\A$. The structure of these models is analyzed in some detail at the classical level, including the construction of conserved currents with spins up to 4. We then show that these currents generalize to the quantum theory, thus demonstrating quantum-integrability of the models. |
hep-th/9901049 | Toyoki Matsuyama | Toyoki Matsuyama, Hideko Nagahiro and Satoko Uchida | Dynamical mass generation of a two-component fermion in
Maxwell-Chern-Simons QED_3: The lowest ladder approximation | 22 pages, 9 figures, Version to appear in Phys. Rev. D | Phys.Rev. D60 (1999) 105020 | 10.1103/PhysRevD.60.105020 | null | hep-th | null | Dynamical mass generation of a two-component fermion in $QED_3$ with a
Chern-Simons term is investigated by solving the Schwinger-Dyson equation
formulated in the lowest ladder approximation. Dependence of the dynamical
fermion mass on a gauge-fixing parameter, a gauge coupling constant, and a
topological mass is examined by approximated analytical and also numerical
methods. The inclusion of the Chern-Simons term makes impossible to choose a
peculiar gauge in which a wave function renormalization is absent. The
numerical evaluation shows that the wave function renormalization is fairly
close to 1 in the Landau gauge. It means that this gauge is still a specific
gauge where the Ward-Takahashi identity is satisfied approximately. We also
find that the dynamical mass is almost constant if the topological mass is
larger than the coupling constant, while it decreases when the topological mass
is comparable to or smaller than the coupling constant and tends to the value
in $QED_3$ without the Chern-Simons term.
| [
{
"created": "Wed, 13 Jan 1999 08:07:16 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 1999 08:02:16 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Jul 1999 08:33:23 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Matsuyama",
"Toyoki",
""
],
[
"Nagahiro",
"Hideko",
""
],
[
"Uchida",
"Satoko",
""
]
] | Dynamical mass generation of a two-component fermion in $QED_3$ with a Chern-Simons term is investigated by solving the Schwinger-Dyson equation formulated in the lowest ladder approximation. Dependence of the dynamical fermion mass on a gauge-fixing parameter, a gauge coupling constant, and a topological mass is examined by approximated analytical and also numerical methods. The inclusion of the Chern-Simons term makes impossible to choose a peculiar gauge in which a wave function renormalization is absent. The numerical evaluation shows that the wave function renormalization is fairly close to 1 in the Landau gauge. It means that this gauge is still a specific gauge where the Ward-Takahashi identity is satisfied approximately. We also find that the dynamical mass is almost constant if the topological mass is larger than the coupling constant, while it decreases when the topological mass is comparable to or smaller than the coupling constant and tends to the value in $QED_3$ without the Chern-Simons term. |
1706.05474 | Salvador Robles-Perez | Salvador Robles-Perez | Invariant vacuum | 10 pages. Revised version. Accepted in PLB | null | 10.1016/j.physletb.2017.10.018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the Lewis-Riesenfeld invariant method for the harmonic oscillator
with time dependent mass and frequency to the modes of a charged scalar field
that propagates in a curved, homogeneous and isotropic spacetime. We recover
the Bunch-Davies vacuum in the case of a flat DeSitter spacetime, the
equivalent one in the case of a closed DeSitter spacetime and the invariant
vacuum in a curved spacetime that evolves adiabatically. In the three cases, it
is computed the thermodynamical magnitudes of entanglement between the modes of
the particles and antiparticles of the invariant vacuum, and the modification
of the Friedmann equation caused by the existence of the energy density of
entanglement. The amplitude of the vacuum fluctuations are also computed.
| [
{
"created": "Sat, 17 Jun 2017 04:57:38 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2017 16:29:22 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Robles-Perez",
"Salvador",
""
]
] | We apply the Lewis-Riesenfeld invariant method for the harmonic oscillator with time dependent mass and frequency to the modes of a charged scalar field that propagates in a curved, homogeneous and isotropic spacetime. We recover the Bunch-Davies vacuum in the case of a flat DeSitter spacetime, the equivalent one in the case of a closed DeSitter spacetime and the invariant vacuum in a curved spacetime that evolves adiabatically. In the three cases, it is computed the thermodynamical magnitudes of entanglement between the modes of the particles and antiparticles of the invariant vacuum, and the modification of the Friedmann equation caused by the existence of the energy density of entanglement. The amplitude of the vacuum fluctuations are also computed. |
2311.10073 | Roldao da Rocha | G. B. de Gracia, B. M. Pimentel, R. da Rocha | On valley asymmetry in a topological interaction for quasi-particles | 33 pages, 1 figure | Annals Phys. 459 (2023) 169545 | 10.1016/j.aop.2023.169545 | null | hep-th cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is focused on investigating the effects of a statistical
interaction for graphene-like systems, providing Haldane-like properties for
topologically trivial lattices. The associated self-energy correction yields an
effective next-nearest hopping, inducing the topological phase, whose specific
solutions are scrutinized. In the case of an external magnetic field, it leads
to a renormalized quasi-particle structure with generalized Landau levels and
explicit valley asymmetry. A suitable tool for implementing such achievements
is a judicious indefinite metric quantization, leading to advances in field
theory foundations. Since the topological behavior is encoded in the radiative
corrections, an unequivocal treatment using an integral representation is
carefully developed.
| [
{
"created": "Thu, 16 Nov 2023 18:20:11 GMT",
"version": "v1"
}
] | 2023-11-17 | [
[
"de Gracia",
"G. B.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"da Rocha",
"R.",
""
]
] | This paper is focused on investigating the effects of a statistical interaction for graphene-like systems, providing Haldane-like properties for topologically trivial lattices. The associated self-energy correction yields an effective next-nearest hopping, inducing the topological phase, whose specific solutions are scrutinized. In the case of an external magnetic field, it leads to a renormalized quasi-particle structure with generalized Landau levels and explicit valley asymmetry. A suitable tool for implementing such achievements is a judicious indefinite metric quantization, leading to advances in field theory foundations. Since the topological behavior is encoded in the radiative corrections, an unequivocal treatment using an integral representation is carefully developed. |
1808.05748 | Pattabhirama Yogendran | K. P. Yogendran | Horizon Strings and Interior States of a Black Hole | Affiliation modified slightly from published version | Phys.Lett. B750 (2015) 278-281 | 10.1016/j.physletb.2015.08.057 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We provide an explicit construction of classical strings that have endpoints
on the horizons of the 2D Lorentzian black hole. We argue that this is a dual
description of geodesics that are localized around the horizon which are the
Lorentzian counterparts of the winding strings of the Euclidean black hole (the
cigar geometry). Identifying these with the states of the black hole, we can
expect that issues of black hole information loss can be posed sharply in terms
of a fully quantizable string theory.
| [
{
"created": "Fri, 17 Aug 2018 04:55:22 GMT",
"version": "v1"
}
] | 2018-08-20 | [
[
"Yogendran",
"K. P.",
""
]
] | We provide an explicit construction of classical strings that have endpoints on the horizons of the 2D Lorentzian black hole. We argue that this is a dual description of geodesics that are localized around the horizon which are the Lorentzian counterparts of the winding strings of the Euclidean black hole (the cigar geometry). Identifying these with the states of the black hole, we can expect that issues of black hole information loss can be posed sharply in terms of a fully quantizable string theory. |
hep-th/9809005 | Hans-Christian Pauli | Hans-Christian Pauli (Max-Planck-Institut f\"ur Kernphysik, Postfach
10 39 80, D-69029 Heidelberg.) | On confinement in a light-cone Hamiltonian for QCD | 15 pages, LaTeX2e, macro svjour included in uu-file 5 figures,
ps-files included in uu-file | Eur.Phys.J.C7:289-303,1999 | 10.1007/s100529800994 | Heidelberg preprint MPIH-V21-1998 | hep-th | null | The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in
3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an
effective Hamiltonian which acts only in the Fock space of a quark and an
antiquark. Emphasis is put on the many-body aspects of gauge field theory, and
it is shown explicitly how the higher Fock-space amplitudes can be retrieved
self-consistently from solutions in the $q\bar q$-space. The approach is based
on the novel method of iterated resolvents and on discretized light-cone
quantization driven to the continuum limit. It is free of the usual
perturbative Tamm-Dancoff truncations in particle number and coupling constant
and respects all symmetries of the Lagrangian including covariance and gauge
invariance. Approximations are done to the non-truncated formalism. Together
with vertex as opposed to Fock-space regularization, the method allows to apply
the renormalization programme non-perturbatively to a Hamiltonian. The
conventional QCD scale is found arising from regulating the transversal
momenta. It conspires with additional mass scales to produce possibly
confinement.
| [
{
"created": "Tue, 1 Sep 1998 16:47:21 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Pauli",
"Hans-Christian",
"",
"Max-Planck-Institut für Kernphysik, Postfach\n 10 39 80, D-69029 Heidelberg."
]
] | The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. Emphasis is put on the many-body aspects of gauge field theory, and it is shown explicitly how the higher Fock-space amplitudes can be retrieved self-consistently from solutions in the $q\bar q$-space. The approach is based on the novel method of iterated resolvents and on discretized light-cone quantization driven to the continuum limit. It is free of the usual perturbative Tamm-Dancoff truncations in particle number and coupling constant and respects all symmetries of the Lagrangian including covariance and gauge invariance. Approximations are done to the non-truncated formalism. Together with vertex as opposed to Fock-space regularization, the method allows to apply the renormalization programme non-perturbatively to a Hamiltonian. The conventional QCD scale is found arising from regulating the transversal momenta. It conspires with additional mass scales to produce possibly confinement. |
1508.05619 | Kerson Huang | Kerson Huang | Quantum vorticity in nature | 18 pages, 17 figures. Invited contribution to the Proceedings of a
Conference on Sixty Years of Yang-Mills Gauge field, Institute of Advanced
Studies, Nanyang Technological University, Singapore, May 26-28, 2015 | Int. J. Mod, Phys. A30,1530056 (2015) | 10.1142/S0217751X15300562 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum vorticity occurs in superfluidity, which arises from a spatial
variation of the quantum phase. As such, it can occur in diverse systems over a
wide range of scales, from the electroweak sector and QCD of the standard model
of particle theory, through the everyday world, to the cosmos. I review the
observable manifestations, and their unified description in terms of an order
parameter that is a complex scalar field.
| [
{
"created": "Sun, 23 Aug 2015 15:23:07 GMT",
"version": "v1"
}
] | 2015-09-01 | [
[
"Huang",
"Kerson",
""
]
] | Quantum vorticity occurs in superfluidity, which arises from a spatial variation of the quantum phase. As such, it can occur in diverse systems over a wide range of scales, from the electroweak sector and QCD of the standard model of particle theory, through the everyday world, to the cosmos. I review the observable manifestations, and their unified description in terms of an order parameter that is a complex scalar field. |
2312.13269 | Yixuan Li | Ben Eckardt, Yixuan Li | The 1/4-BPS building blocks of brane interactions | V1: 34+25 pages, 28 figures/tables, many glues. V2: added a
discussion on BPS domain walls and on the Hanany-Witten effect | null | null | MPP-2023-291 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study, from the perspective of supersymmetry and space-time Killing
spinors, the local brane densities involved in 1/4-BPS intersecting brane
systems. In particular, we classify the possible local brane structures that
have maximal (16) supersymmetries in 1/4-BPS intersecting brane backgrounds.
Applied to BPS black holes, this classification reveals the allowed local
microstructure for pure microstates. We further use these structures with local
16 supersymmetries as building blocks to generalise to 1/8-BPS systems.
Moreover, we give examples of 1/8-BPS black holes for which the local
supersymmetries are compatible with the combination of different
entropy-generating effects from brane interaction. Finally, applying our
classification to BPS domain walls, we illustrate how our formalism may
possibly describe the local picture of the Hanany-Witten effect.
| [
{
"created": "Wed, 20 Dec 2023 18:49:40 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 10:22:43 GMT",
"version": "v2"
}
] | 2024-06-04 | [
[
"Eckardt",
"Ben",
""
],
[
"Li",
"Yixuan",
""
]
] | We study, from the perspective of supersymmetry and space-time Killing spinors, the local brane densities involved in 1/4-BPS intersecting brane systems. In particular, we classify the possible local brane structures that have maximal (16) supersymmetries in 1/4-BPS intersecting brane backgrounds. Applied to BPS black holes, this classification reveals the allowed local microstructure for pure microstates. We further use these structures with local 16 supersymmetries as building blocks to generalise to 1/8-BPS systems. Moreover, we give examples of 1/8-BPS black holes for which the local supersymmetries are compatible with the combination of different entropy-generating effects from brane interaction. Finally, applying our classification to BPS domain walls, we illustrate how our formalism may possibly describe the local picture of the Hanany-Witten effect. |
hep-th/9702193 | null | Andrew J. Bordner | Smooth Bosonization as a Quantum Canonical Transformation | 20 pages, revtex | Phys.Rev. D55 (1997) 7739-7748 | 10.1103/PhysRevD.55.7739 | KUNS-1433 | hep-th | null | We consider a 1+1 dimensional field theory which contains both a complex
fermion field and a real scalar field. We then construct a unitary operator
that, by a similarity transformation, gives a continuum of equivalent theories
which smoothly interpolate between the massive Thirring model and the
sine-Gordon model. This provides an implementation of smooth bosonization
proposed by Damgaard et al. as well as an example of a quantum canonical
transformation for a quantum field theory.
| [
{
"created": "Thu, 27 Feb 1997 14:56:36 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bordner",
"Andrew J.",
""
]
] | We consider a 1+1 dimensional field theory which contains both a complex fermion field and a real scalar field. We then construct a unitary operator that, by a similarity transformation, gives a continuum of equivalent theories which smoothly interpolate between the massive Thirring model and the sine-Gordon model. This provides an implementation of smooth bosonization proposed by Damgaard et al. as well as an example of a quantum canonical transformation for a quantum field theory. |
1508.05055 | Adolfo Guarino | Adolfo Guarino | CSO$_c$ superpotentials | 10 pages, 1 table. v2: Published version | null | 10.1016/j.nuclphysb.2015.09.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by their application to holographic RG flows and hairy black holes
in Einstein-scalar systems, we present a collection of superpotentials driving
the dynamics of $\mathcal{N}=2$ and $\mathcal{N}=1$ four-dimensional
supergravities. These theories arise as consistent truncations of the
electric/magnetic families of $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities,
with ${p+q+r=8}$, discovered by Dall'Agata et al. The $\mathcal{N}=2$ and
$\mathcal{N}=1$ truncations describe $\textrm{SU}(3)$ and $\mathbb{Z}_{2}
\times \textrm{SO}(3)$ invariant sectors, respectively, and contain AdS$_4$
solutions preserving $\mathcal{N}=1,2,3,4$ supersymmetry within the full
theories, as well as various gauge symmetries. Realisations in terms of
non-geometric type IIB as well as geometric massive type IIA backgrounds are
also discussed. The aim of this note is to provide easy to handle
superpotentials that facilitate the study of gravitational and gauge aspects of
the $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities avoiding the
technicalities required in their construction.
| [
{
"created": "Thu, 20 Aug 2015 17:33:27 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2016 18:12:27 GMT",
"version": "v2"
}
] | 2016-06-15 | [
[
"Guarino",
"Adolfo",
""
]
] | Motivated by their application to holographic RG flows and hairy black holes in Einstein-scalar systems, we present a collection of superpotentials driving the dynamics of $\mathcal{N}=2$ and $\mathcal{N}=1$ four-dimensional supergravities. These theories arise as consistent truncations of the electric/magnetic families of $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities, with ${p+q+r=8}$, discovered by Dall'Agata et al. The $\mathcal{N}=2$ and $\mathcal{N}=1$ truncations describe $\textrm{SU}(3)$ and $\mathbb{Z}_{2} \times \textrm{SO}(3)$ invariant sectors, respectively, and contain AdS$_4$ solutions preserving $\mathcal{N}=1,2,3,4$ supersymmetry within the full theories, as well as various gauge symmetries. Realisations in terms of non-geometric type IIB as well as geometric massive type IIA backgrounds are also discussed. The aim of this note is to provide easy to handle superpotentials that facilitate the study of gravitational and gauge aspects of the $\textrm{CSO}(p,q,r)_{c}$ maximal supergravities avoiding the technicalities required in their construction. |
hep-th/9604165 | Loriano Bonora | L.Bonora, S.Krivonos, A.Sorin | Toward the construction of N=2 supersymmetric integrable hierarchies | 17 pages, Latex, a few more misprints have been corrected | Nucl.Phys. B477 (1996) 835-854 | 10.1016/0550-3213(96)00377-X | SISSA 56/96/EP, JINR E2-96-138 | hep-th | null | We formulate a conjecture for the three different Lax operators that describe
the bosonic sectors of the three possible $N=2$ supersymmetric integrable
hierarchies with $N=2$ super $W_n$ second hamiltonian structure. We check this
conjecture in the simplest cases, then we verify it in general in one of the
three possible supersymmetric extensions. To this end we construct the $N=2$
supersymmetric extensions of the Generalized Non-Linear Schr\"{o}dinger
hierarchy by exhibiting the corresponding super Lax operator. To find the
correct hamiltonians we are led to a new definition of super-residues for
degenerate N=2 supersymmetric pseudodifferential operators. We have found a new
non-polinomial Miura-like realization for $N=2$ superconformal algebra in terms
of two bosonic chiral--anti--chiral free superfields.
| [
{
"created": "Thu, 25 Apr 1996 17:35:55 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 1996 15:57:04 GMT",
"version": "v2"
},
{
"created": "Tue, 7 May 1996 11:11:00 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Bonora",
"L.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] | We formulate a conjecture for the three different Lax operators that describe the bosonic sectors of the three possible $N=2$ supersymmetric integrable hierarchies with $N=2$ super $W_n$ second hamiltonian structure. We check this conjecture in the simplest cases, then we verify it in general in one of the three possible supersymmetric extensions. To this end we construct the $N=2$ supersymmetric extensions of the Generalized Non-Linear Schr\"{o}dinger hierarchy by exhibiting the corresponding super Lax operator. To find the correct hamiltonians we are led to a new definition of super-residues for degenerate N=2 supersymmetric pseudodifferential operators. We have found a new non-polinomial Miura-like realization for $N=2$ superconformal algebra in terms of two bosonic chiral--anti--chiral free superfields. |
2205.02366 | Xin Wang | Min-xin Huang, Kimyeong Lee, Xin Wang | Topological strings and Wilson loops | 61 pages, 11 figures | null | 10.1007/JHEP08(2022)207 | USTC-ICTS/PCFT-22-09, KIAS-Q22003 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose the refined topological string correspondence to the expectation
values of half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ gauge theory
partition function on the Omega-deformed background
$\mathbb{R}^4_{\epsilon_{1,2}}\times S^1$. We provide the refined topological
vertex method and the refined holomorphic anomaly equation method in the
topological string theory, from which we have exact computations on the 5d
Wilson loops partition functions in both A- and B-models. Finally, with the
exact results we have in B-model, we recover the quantum periods of local
$\mathbb{P}^1\times\mathbb{P}^1$ model and local $\mathbb{P}^2$ model in the
study of quantum geometry and we further give a refined generalization of
A-period.
| [
{
"created": "Wed, 4 May 2022 23:58:46 GMT",
"version": "v1"
}
] | 2022-09-07 | [
[
"Huang",
"Min-xin",
""
],
[
"Lee",
"Kimyeong",
""
],
[
"Wang",
"Xin",
""
]
] | We propose the refined topological string correspondence to the expectation values of half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ gauge theory partition function on the Omega-deformed background $\mathbb{R}^4_{\epsilon_{1,2}}\times S^1$. We provide the refined topological vertex method and the refined holomorphic anomaly equation method in the topological string theory, from which we have exact computations on the 5d Wilson loops partition functions in both A- and B-models. Finally, with the exact results we have in B-model, we recover the quantum periods of local $\mathbb{P}^1\times\mathbb{P}^1$ model and local $\mathbb{P}^2$ model in the study of quantum geometry and we further give a refined generalization of A-period. |
1308.5539 | Tsulaia Mirian | I.L.Buchbinder, P.Dempster, M.Tsulaia | Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction
and Causality | 34 pages, comments, references and one Appendix added. Typos
corrected. Published version | Nucl.Phys.B877:260-289,2013 | 10.1016/j.nuclphysb.2013.10.007 | LTH-978 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider in detail the most general cubic Lagrangian which describes an
interaction between two identical higher spin fieldsin a triplet formulation
with a scalar field, all fields having the same values of the mass. After
performing the gauge fixing procedure we find that for the case of massive
fields the gauge invariance does not guarantee the preservation of the correct
number of propagating physical degrees of freedom. In order to get the correct
number of degrees of freedom for the massive higher spin field one should
impose some additional conditions on parameters of the vertex. Further
independent constraints are provided by the causality analysis, indicating that
the requirement of causality should be imposed in addition to the requirement
of gauge invariance in order to have a consistent propagation of massive higher
spin fields.
| [
{
"created": "Mon, 26 Aug 2013 10:46:18 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Oct 2013 06:11:43 GMT",
"version": "v2"
}
] | 2014-08-19 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Dempster",
"P.",
""
],
[
"Tsulaia",
"M.",
""
]
] | We consider in detail the most general cubic Lagrangian which describes an interaction between two identical higher spin fieldsin a triplet formulation with a scalar field, all fields having the same values of the mass. After performing the gauge fixing procedure we find that for the case of massive fields the gauge invariance does not guarantee the preservation of the correct number of propagating physical degrees of freedom. In order to get the correct number of degrees of freedom for the massive higher spin field one should impose some additional conditions on parameters of the vertex. Further independent constraints are provided by the causality analysis, indicating that the requirement of causality should be imposed in addition to the requirement of gauge invariance in order to have a consistent propagation of massive higher spin fields. |
hep-th/0411054 | Nicolas Orantin | Nicolas Orantin | One- and two-matrix models and random cylindre with two-coloured
boundaries | 30 pages, 9 figures, LaTex, report in french | null | null | SPHT T04/128 | hep-th | null | In this training course report, I briefly present the one- and two-matrix
models as tools for the study of conformal field theories with boundaries. In a
first part, after a short historical presentation of random matrices, I present
the matrix models' formalism, their diagramatic interpretation, their link with
random surfaces and conformal field theories and the "loop equations" method
for the 2-matrix model. In a second part, I use this method for the calculation
of the generating function of random cylindres whose boundaries are
two-coloured, which was not know before.
| [
{
"created": "Thu, 4 Nov 2004 13:46:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Orantin",
"Nicolas",
""
]
] | In this training course report, I briefly present the one- and two-matrix models as tools for the study of conformal field theories with boundaries. In a first part, after a short historical presentation of random matrices, I present the matrix models' formalism, their diagramatic interpretation, their link with random surfaces and conformal field theories and the "loop equations" method for the 2-matrix model. In a second part, I use this method for the calculation of the generating function of random cylindres whose boundaries are two-coloured, which was not know before. |
0903.0882 | Allen Stern | A. Stern | Particle Classification and Dynamics in GL(2,C) Gravity | 30 pages | Phys.Rev.D79:105017,2009 | 10.1103/PhysRevD.79.105017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A relatively simple approach to noncommutative gravity utilizes the gauge
theory formulation of general relativity and involves replacing the Lorentz
gauge group by a larger group. This results in additional field degrees of
freedom which either must be constrained to vanish in a nontrivial way, or
require physical interpretation. With the latter in mind, we examine the
coupling of the additional fields to point particles. Nonstandard particle
degrees of freedom should be introduced in order to write down the most general
coupling. The example we study is the $GL(2,C)$ central extension of gravity
given by Chamseddine, which contains two U(1) gauge fields, and a complex
vierbein matrix, along with the usual spin connections. For the general
coupling one should then attach two U(1) charges and a complex momentum vector
to the particle, along with the spin. The momenta span orbits in a
four-dimensional complex vector space, and are classified by $GL(2,C)$
invariants and by their little groups. In addition to orbits associated with
standard massive and massless particles, a number of novel orbits can be
identified. We write down a general action principle for particles associated
with any nontrivial orbit and show that it leads to corrections to geodesic
motion. We also examine the classical and quantum theory of the particle in
flat space-time.
| [
{
"created": "Thu, 5 Mar 2009 01:06:56 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2009 21:09:14 GMT",
"version": "v2"
}
] | 2009-07-30 | [
[
"Stern",
"A.",
""
]
] | A relatively simple approach to noncommutative gravity utilizes the gauge theory formulation of general relativity and involves replacing the Lorentz gauge group by a larger group. This results in additional field degrees of freedom which either must be constrained to vanish in a nontrivial way, or require physical interpretation. With the latter in mind, we examine the coupling of the additional fields to point particles. Nonstandard particle degrees of freedom should be introduced in order to write down the most general coupling. The example we study is the $GL(2,C)$ central extension of gravity given by Chamseddine, which contains two U(1) gauge fields, and a complex vierbein matrix, along with the usual spin connections. For the general coupling one should then attach two U(1) charges and a complex momentum vector to the particle, along with the spin. The momenta span orbits in a four-dimensional complex vector space, and are classified by $GL(2,C)$ invariants and by their little groups. In addition to orbits associated with standard massive and massless particles, a number of novel orbits can be identified. We write down a general action principle for particles associated with any nontrivial orbit and show that it leads to corrections to geodesic motion. We also examine the classical and quantum theory of the particle in flat space-time. |
1011.5519 | Cheng-Yang Lee | Cheng-Yang Lee | Elko in 1+1 dimensions | 11 pages, no figures | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum field operator for spin-half Elko describes a massive
self-interacting fermionic dark matter candidate of mass dimension one. It has
been shown that the theory has a built-in violation of the Lorentz symmetry and
a well-defined element of non-locality in the form of a preferred direction.
This note shows that quantum field operators constructed using spin-half and
higher-spin Elko violate Lorentz symmetry from first principle. Subsequently,
we study the kinematics of Elko and its quantum field operator for any spin
along the preferred direction.
| [
{
"created": "Wed, 24 Nov 2010 22:03:02 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2011 04:09:20 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Nov 2011 03:34:47 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Feb 2015 12:48:47 GMT",
"version": "v4"
}
] | 2015-02-19 | [
[
"Lee",
"Cheng-Yang",
""
]
] | The quantum field operator for spin-half Elko describes a massive self-interacting fermionic dark matter candidate of mass dimension one. It has been shown that the theory has a built-in violation of the Lorentz symmetry and a well-defined element of non-locality in the form of a preferred direction. This note shows that quantum field operators constructed using spin-half and higher-spin Elko violate Lorentz symmetry from first principle. Subsequently, we study the kinematics of Elko and its quantum field operator for any spin along the preferred direction. |
hep-th/9212123 | Mikhail Saveliev | David I. Olive, Mikhail V. Saveliev, Jonathan W. R. Underwood | On a Solitonic Specialisation for the General Solutions of Some
Two-Dimensional Completely Integrable Systems | 9 pages, no figure | Phys.Lett. B311 (1993) 117-122 | 10.1016/0370-2693(93)90543-Q | Imperial/TP/92-93/13, NI92014, SWAT/4 | hep-th | null | Following a prescription of \cite{4} for a solitonic specialization of the
general solutions to the (abelian) periodic Toda field theories, we discuss a
construction of the soliton solutions for a wide class of two-dimensional
completely integrable systems arising in the framework of the group-algebraic
approach, including the \lq\lq non-abelian" version of the affine Toda theory.
| [
{
"created": "Mon, 21 Dec 1992 15:45:08 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Olive",
"David I.",
""
],
[
"Saveliev",
"Mikhail V.",
""
],
[
"Underwood",
"Jonathan W. R.",
""
]
] | Following a prescription of \cite{4} for a solitonic specialization of the general solutions to the (abelian) periodic Toda field theories, we discuss a construction of the soliton solutions for a wide class of two-dimensional completely integrable systems arising in the framework of the group-algebraic approach, including the \lq\lq non-abelian" version of the affine Toda theory. |
hep-th/0510182 | Minoru Omote | Minoru Omote and Susumu kamefuchi | On the Wave aspect of Relativistic Quantum Fields | 33 pages, no figure | Prog.Theor.Phys.115:951-978,2006 | 10.1143/PTP.115.951 | null | hep-th | null | In the state-vector space for relativistic quantum fields a new set of basis
vectors are introduced, which are taken to be eigenstates of the field
operators themselves. The corresponding eigenvalues are then interpreted as
representing matter waves associated with the respective quantum fields. The
representation, based on such basis vectors, or the wave-representation
naturally emphasizes the wave aspect of the system, in contrast with the usual,
Fock or particle-representation emphasizing the particle aspect. For the case
of a relativistic, free neutral field, the wave-representation is explicitly
constructed, and its mathematical properties as well as physical implications
are studied in detail. It is expected that such an approach will find useful
applications, e.g., in quantum optics.
| [
{
"created": "Fri, 21 Oct 2005 04:43:56 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Omote",
"Minoru",
""
],
[
"kamefuchi",
"Susumu",
""
]
] | In the state-vector space for relativistic quantum fields a new set of basis vectors are introduced, which are taken to be eigenstates of the field operators themselves. The corresponding eigenvalues are then interpreted as representing matter waves associated with the respective quantum fields. The representation, based on such basis vectors, or the wave-representation naturally emphasizes the wave aspect of the system, in contrast with the usual, Fock or particle-representation emphasizing the particle aspect. For the case of a relativistic, free neutral field, the wave-representation is explicitly constructed, and its mathematical properties as well as physical implications are studied in detail. It is expected that such an approach will find useful applications, e.g., in quantum optics. |
hep-th/9802059 | Esposito Giampiero | Giampiero Esposito, Alexander Yu. Kamenshchik and Klaus Kirsten | Casimir Effect in Problems with Spherical Symmetry: New Perspectives | 24 pages, Latex. The new version is more detailed and much longer | null | null | DSF preprint 98/4 | hep-th | null | Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it
is quite important to evaluate the zero-point energy of the quantized
electromagnetic field by a careful assignment of boundary conditions on the
potential and on the ghost fields. Recent work by the authors has shown that,
for a perfectly conducting spherical shell, it is precisely the contribution of
longitudinal and normal modes of the potential which enables one to reproduce
the result first due to Boyer. This is obtained provided that one works with
the Lorenz gauge-averaging functional, and with the help of the Feynman choice
for a dimensionless gauge parameter. For arbitrary values of the gauge
parameter, however, covariant and non-covariant gauges lead to an entangled
system of three eigenvalue equations. Such a problem is crucial both for the
foundations and for the applications of quantum field theory.
| [
{
"created": "Mon, 9 Feb 1998 18:35:40 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 1998 13:47:00 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Kirsten",
"Klaus",
""
]
] | Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it is quite important to evaluate the zero-point energy of the quantized electromagnetic field by a careful assignment of boundary conditions on the potential and on the ghost fields. Recent work by the authors has shown that, for a perfectly conducting spherical shell, it is precisely the contribution of longitudinal and normal modes of the potential which enables one to reproduce the result first due to Boyer. This is obtained provided that one works with the Lorenz gauge-averaging functional, and with the help of the Feynman choice for a dimensionless gauge parameter. For arbitrary values of the gauge parameter, however, covariant and non-covariant gauges lead to an entangled system of three eigenvalue equations. Such a problem is crucial both for the foundations and for the applications of quantum field theory. |
2402.00270 | Fabiano Simas | Aliakbar Moradi Marjaneh, Fabiano C. Simas, D. Bazeia | Scattering of kinks in scalar-field models with higher-order
self-interactions | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Higher-order scalar field models in two dimensions, including the $\phi^8$
model, have been researched. It has been shown that for some special cases of
the minima positions of the potential, the explicit kink solutions can be
found. However, in physical applications, it is very important to know all the
explicit solutions of a model for any minima position. In the present study,
with the help of some deformation functions, we have shown that higher-order
scalar field theories can be obtained with explicit kinks. In particular, we
introduced two deformation functions that, when applied to the well known
$\phi^4$ and $\phi^6$ models, produce modified $\phi^8$ and $\phi^{10}$ models,
respectively, with all their explicit kink-like solutions which depend on a
single parameter. Since this parameter controls the position of the minima of
the potential, we have found interesting new solutions in many distinct cases.
We have also studied the kink mass, the behavior of the excitation spectra and
several kink-antikink collisions for these two new modified models. The
collision outcome is determined by the initial configuration, specifically the
sequence in which the kink-antikink and antikink-kink pairings emerge. Another
interesting finding is the suppression of resonance windows, which may be
explained by the presence of a set of internal modes in the model.
| [
{
"created": "Thu, 1 Feb 2024 01:45:28 GMT",
"version": "v1"
}
] | 2024-02-02 | [
[
"Marjaneh",
"Aliakbar Moradi",
""
],
[
"Simas",
"Fabiano C.",
""
],
[
"Bazeia",
"D.",
""
]
] | Higher-order scalar field models in two dimensions, including the $\phi^8$ model, have been researched. It has been shown that for some special cases of the minima positions of the potential, the explicit kink solutions can be found. However, in physical applications, it is very important to know all the explicit solutions of a model for any minima position. In the present study, with the help of some deformation functions, we have shown that higher-order scalar field theories can be obtained with explicit kinks. In particular, we introduced two deformation functions that, when applied to the well known $\phi^4$ and $\phi^6$ models, produce modified $\phi^8$ and $\phi^{10}$ models, respectively, with all their explicit kink-like solutions which depend on a single parameter. Since this parameter controls the position of the minima of the potential, we have found interesting new solutions in many distinct cases. We have also studied the kink mass, the behavior of the excitation spectra and several kink-antikink collisions for these two new modified models. The collision outcome is determined by the initial configuration, specifically the sequence in which the kink-antikink and antikink-kink pairings emerge. Another interesting finding is the suppression of resonance windows, which may be explained by the presence of a set of internal modes in the model. |
1005.4171 | Chih-Hao Fu | Chih-Hao Fu and Renata Kallosh | New N=4 SYM Path Integral | 36 pages, 10 figures, references added, minor changes | Phys.Rev.D82:125022,2010 | 10.1103/PhysRevD.82.125022 | SU-ITP-10/17, DCPT-10/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Lorentz covariant spinor helicity formalism we reorganize the unitary
scalar superfield light-cone path integral for the N=4 supersymmetric
Yang-Mills theory. In new variables in the chiral Fourier superspace the
quadratic and cubic parts of the classical action have manifest Lorentz,
kinematical and dynamical supersymmetry, with the exception of terms which
contribute only to the contact terms in the supergraphs with propagators
shrinking to a point. These terms have the same structure as supergraphs with
quartic light-cone vertices, which break dynamical supersymmetry. We present
evidence that all complicated terms breaking dynamical supersymmetry have to
cancel and therefore can be omitted. It is plausible that the new form of the
path integral leads to a set of relatively simple unitarity based rules with
manifest N=4 supersymmetry.
| [
{
"created": "Sun, 23 May 2010 05:15:50 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Nov 2010 09:40:14 GMT",
"version": "v2"
}
] | 2010-12-24 | [
[
"Fu",
"Chih-Hao",
""
],
[
"Kallosh",
"Renata",
""
]
] | Using Lorentz covariant spinor helicity formalism we reorganize the unitary scalar superfield light-cone path integral for the N=4 supersymmetric Yang-Mills theory. In new variables in the chiral Fourier superspace the quadratic and cubic parts of the classical action have manifest Lorentz, kinematical and dynamical supersymmetry, with the exception of terms which contribute only to the contact terms in the supergraphs with propagators shrinking to a point. These terms have the same structure as supergraphs with quartic light-cone vertices, which break dynamical supersymmetry. We present evidence that all complicated terms breaking dynamical supersymmetry have to cancel and therefore can be omitted. It is plausible that the new form of the path integral leads to a set of relatively simple unitarity based rules with manifest N=4 supersymmetry. |
0809.3304 | Ashoke Sen | Ashoke Sen | Quantum Entropy Function from AdS(2)/CFT(1) Correspondence | LaTeX file, 27 pages, A modified and extended version of the talk
given at Strings 2008 | Int.J.Mod.Phys.A24:4225-4244,2009 | 10.1142/S0217751X09045893 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review and extend recent attempts to find a precise relation between
extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1
correspondence. Our analysis leads to a specific relation between degeneracy of
black hole microstates and an appropriately defined partition function of
string theory on the near horizon geometry, -- named the quantum entropy
function. In the classical limit this reduces to the usual relation between
statistical entropy and Wald entropy.
| [
{
"created": "Fri, 19 Sep 2008 18:39:23 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Sep 2008 04:53:07 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Sen",
"Ashoke",
""
]
] | We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of string theory on the near horizon geometry, -- named the quantum entropy function. In the classical limit this reduces to the usual relation between statistical entropy and Wald entropy. |
hep-th/9501086 | null | Gerald KELNHOFER | YANG-MILLS THEORY WITH THE PONTRYAGIN TERM ON MANIFOLDS WITH A BOUNDARY | Amstex file (version 2,0), 11 pages, no figures | null | null | UWThPh-94-56 | hep-th | null | The 3+1 dimensional Yang-Mills theory with the Pontryagin term included is
studied on manifolds with a boundary. Based on the geometry of the universal
bundle for Yang-Mills theory, the symplectic structure of this model is
exhibited. The topological type of the quantization line bundles is shown to be
determined by the torsion elements in the cohomology of the gauge orbit space.
| [
{
"created": "Thu, 19 Jan 1995 10:56:00 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"KELNHOFER",
"Gerald",
""
]
] | The 3+1 dimensional Yang-Mills theory with the Pontryagin term included is studied on manifolds with a boundary. Based on the geometry of the universal bundle for Yang-Mills theory, the symplectic structure of this model is exhibited. The topological type of the quantization line bundles is shown to be determined by the torsion elements in the cohomology of the gauge orbit space. |
0903.1459 | Ichiro Oda | Masashi Nakasone and Ichiro Oda | Massive Gravity with Mass Term in Three Dimensions | 9 pages | Phys.Rev.D79:104012,2009 | 10.1103/PhysRevD.79.104012 | DPUR/TH/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the effect of the Pauli-Fierz mass term on a recently established,
new massive gravity theory in three space-time dimensions. We show that the
Pauli-Fierz mass term makes the new massive gravity theory non-unitary.
Moreover, although we add the gravitational Chern-Simons term to this model,
the situation remains unchanged and the theory stays non-unitary in spite that
structure of the graviton propagator is greatly changed. Thus, the Pauli-Fierz
mass term is not allowed to coexist with mass-generating higher-derivative
terms in the new massive gravity.
| [
{
"created": "Sun, 8 Mar 2009 21:37:56 GMT",
"version": "v1"
}
] | 2009-10-29 | [
[
"Nakasone",
"Masashi",
""
],
[
"Oda",
"Ichiro",
""
]
] | We analyze the effect of the Pauli-Fierz mass term on a recently established, new massive gravity theory in three space-time dimensions. We show that the Pauli-Fierz mass term makes the new massive gravity theory non-unitary. Moreover, although we add the gravitational Chern-Simons term to this model, the situation remains unchanged and the theory stays non-unitary in spite that structure of the graviton propagator is greatly changed. Thus, the Pauli-Fierz mass term is not allowed to coexist with mass-generating higher-derivative terms in the new massive gravity. |
hep-th/0108189 | Serguei Ketov | Sergei V. Ketov | Many faces of Born-Infeld theory | 12 pages, LaTeX; invited talk at the 7th international Wigner
Symposium in College Park, Maryland, USA | null | null | KL-TH 01/06 | hep-th | null | Born-Infeld theory is the non-linear generalization of Maxwell
electrodynamics. It naturally arises as the low-energy effective action of open
strings, and it is also part of the world-volume effective action of D-branes.
The N=1 and N=2 supersymmetric generalizations of the Born-Infeld action are
closely related to partial spontaneous breaking of rigid extended
supersymmetry. We review some remarkable features of the Born-Infeld action and
outline its supersymmetric generalizations in four dimensions. The non-abelian
N=1 supersymmetric extension of the Born-Infeld theory and its N=1
supergravitational avatars are given in superspace.
| [
{
"created": "Sat, 25 Aug 2001 19:15:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ketov",
"Sergei V.",
""
]
] | Born-Infeld theory is the non-linear generalization of Maxwell electrodynamics. It naturally arises as the low-energy effective action of open strings, and it is also part of the world-volume effective action of D-branes. The N=1 and N=2 supersymmetric generalizations of the Born-Infeld action are closely related to partial spontaneous breaking of rigid extended supersymmetry. We review some remarkable features of the Born-Infeld action and outline its supersymmetric generalizations in four dimensions. The non-abelian N=1 supersymmetric extension of the Born-Infeld theory and its N=1 supergravitational avatars are given in superspace. |
2103.14049 | Leonardo Santilli | Leonardo Santilli | Phases of five-dimensional supersymmetric gauge theories | ii+56 pages, 20 figures. v2: references added. v3: clarifications and
references added, published version | J. High Energ. Phys. 2021, 88 (2021) | 10.1007/JHEP07(2021)088 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Five-dimensional $\mathcal{N}=1$ theories with gauge group $U(N)$, $SU(N)$,
$USp(2N)$ and $SO(N)$ are studied at large rank through localization on a large
sphere. The phase diagram of theories with fundamental hypermultiplets is
universal and characterized by third order phase transitions, with the
exception of $U(N)$, that shows both second and third order transitions. The
phase diagram of theories with adjoint or (anti-)symmetric hypermultiplets is
also determined and found to be universal. Moreover, Wilson loops in
fundamental and antisymmetric representations of any rank are analyzed in this
limit. Quiver theories are discussed as well. All the results substantiate the
$\mathcal{F}$-theorem.
| [
{
"created": "Thu, 25 Mar 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 2021 07:55:53 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jul 2021 08:57:43 GMT",
"version": "v3"
}
] | 2021-07-19 | [
[
"Santilli",
"Leonardo",
""
]
] | Five-dimensional $\mathcal{N}=1$ theories with gauge group $U(N)$, $SU(N)$, $USp(2N)$ and $SO(N)$ are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal and characterized by third order phase transitions, with the exception of $U(N)$, that shows both second and third order transitions. The phase diagram of theories with adjoint or (anti-)symmetric hypermultiplets is also determined and found to be universal. Moreover, Wilson loops in fundamental and antisymmetric representations of any rank are analyzed in this limit. Quiver theories are discussed as well. All the results substantiate the $\mathcal{F}$-theorem. |
0812.2835 | Thomas Creutzig | Thomas Creutzig, Peter B. Ronne | The GL(1|1)-symplectic fermion correspondence | 34 pages | Nucl.Phys.B815:95-124,2009 | 10.1016/j.nuclphysb.2009.02.013 | DESY 08-195 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we prove a correspondence between the Wess-Zumino-Novikov-Witten
model of the Lie supergroup GL(1|1) and a free model consisting of two scalars
and a pair of symplectic fermions. This model was discussed earlier by LeClair.
Vertex operators for the symplectic fermions include twist fields, and
correlation functions of GL(1|1) agree with the known results for the scalars
and symplectic fermions. We perform a detailed study of boundary states for
symplectic fermions and apply them to branes in GL(1|1). This allows us to
compute new amplitudes of strings stretching between branes of different types
and confirming Cardy's condition.
| [
{
"created": "Mon, 15 Dec 2008 15:20:55 GMT",
"version": "v1"
}
] | 2009-04-17 | [
[
"Creutzig",
"Thomas",
""
],
[
"Ronne",
"Peter B.",
""
]
] | In this note we prove a correspondence between the Wess-Zumino-Novikov-Witten model of the Lie supergroup GL(1|1) and a free model consisting of two scalars and a pair of symplectic fermions. This model was discussed earlier by LeClair. Vertex operators for the symplectic fermions include twist fields, and correlation functions of GL(1|1) agree with the known results for the scalars and symplectic fermions. We perform a detailed study of boundary states for symplectic fermions and apply them to branes in GL(1|1). This allows us to compute new amplitudes of strings stretching between branes of different types and confirming Cardy's condition. |
0901.2491 | Richard Szabo | Brian P. Dolan and Richard J. Szabo | Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking | 23 pages; v2: minor corrections, references added - final version to
appear in JHEP | JHEP 0903:059,2009 | 10.1088/1126-6708/2009/03/059 | DIAS-09-01, HWM-09-01, EMPG-09-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac
theory on manifolds of the form M x CP(1), with emphasis on the effects of
non-trivial magnetic flux on CP(1). The reduction of Yang-Mills fields gives a
chain of coupled Yang-Mills-Higgs systems on M with a Higgs potential leading
to dynamical symmetry breaking, as a consequence of the monopole fields. The
reduction of SU(2)-symmetric fermions gives massless Dirac fermions on M
transforming under the low-energy gauge group with Yukawa couplings, again as a
result of the internal U(1) fluxes. The tower of massive fermionic Kaluza-Klein
states also has Yukawa interactions and admits a natural SU(2)-equivariant
truncation by replacing CP(1) with a fuzzy sphere. In this approach it is
possible to obtain exactly massless chiral fermions in the effective field
theory with Yukawa interactions, without any further requirements. We work out
the spontaneous symmetry breaking patterns and determine the complete physical
particle spectrum in a number of explicit examples.
| [
{
"created": "Fri, 16 Jan 2009 14:25:40 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2009 11:19:40 GMT",
"version": "v2"
}
] | 2009-03-27 | [
[
"Dolan",
"Brian P.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac theory on manifolds of the form M x CP(1), with emphasis on the effects of non-trivial magnetic flux on CP(1). The reduction of Yang-Mills fields gives a chain of coupled Yang-Mills-Higgs systems on M with a Higgs potential leading to dynamical symmetry breaking, as a consequence of the monopole fields. The reduction of SU(2)-symmetric fermions gives massless Dirac fermions on M transforming under the low-energy gauge group with Yukawa couplings, again as a result of the internal U(1) fluxes. The tower of massive fermionic Kaluza-Klein states also has Yukawa interactions and admits a natural SU(2)-equivariant truncation by replacing CP(1) with a fuzzy sphere. In this approach it is possible to obtain exactly massless chiral fermions in the effective field theory with Yukawa interactions, without any further requirements. We work out the spontaneous symmetry breaking patterns and determine the complete physical particle spectrum in a number of explicit examples. |
hep-th/0112213 | Marie-Noelle Celerier | Marie-Noelle Celerier, Laurent Nottale (Observatoire de Paris-Meudon) | Dirac Equation in Scale Relativity | 33 pages, 4 figures, latex. Submitted to Phys. Rev. D | null | null | null | hep-th | null | The theory of scale relativity provides a new insight into the origin of
fundamental laws in physics. Its application to microphysics allows to recover
quantum mechanics as mechanics on a non-differentiable (fractal) space-time.
The Schr\"odinger and Klein-Gordon equations have already been demonstrated as
geodesic equations in this framework. We propose here a new development of the
intrinsic properties of this theory to obtain, using the mathematical tool of
Hamilton's bi-quaternions, a derivation of the Dirac equation, which, in
standard physics, is merely postulated. The bi-quaternionic nature of the Dirac
spinor is obtained by adding to the differential (proper) time symmetry
breaking, which yields the complex form of the wave-function in the
Schr\"odinger and Klein-Gordon equations, the breaking of further symmetries,
namely, the differential coordinate symmetry ($dx^{\mu} \leftrightarrow -
dx^{\mu}$) and the parity and time reversal symmetries.
| [
{
"created": "Fri, 21 Dec 2001 15:54:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Celerier",
"Marie-Noelle",
"",
"Observatoire de Paris-Meudon"
],
[
"Nottale",
"Laurent",
"",
"Observatoire de Paris-Meudon"
]
] | The theory of scale relativity provides a new insight into the origin of fundamental laws in physics. Its application to microphysics allows to recover quantum mechanics as mechanics on a non-differentiable (fractal) space-time. The Schr\"odinger and Klein-Gordon equations have already been demonstrated as geodesic equations in this framework. We propose here a new development of the intrinsic properties of this theory to obtain, using the mathematical tool of Hamilton's bi-quaternions, a derivation of the Dirac equation, which, in standard physics, is merely postulated. The bi-quaternionic nature of the Dirac spinor is obtained by adding to the differential (proper) time symmetry breaking, which yields the complex form of the wave-function in the Schr\"odinger and Klein-Gordon equations, the breaking of further symmetries, namely, the differential coordinate symmetry ($dx^{\mu} \leftrightarrow - dx^{\mu}$) and the parity and time reversal symmetries. |
1811.12858 | Konstantinos Koutrolikos | I. L. Buchbinder, S. James Gates, Jr. and K. Koutrolikos | Integer superspin supercurrents of matter supermultiplets | null | null | 10.1007/JHEP05(2019)031 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent papers we demonstrated that consistent and non-trivial
\emph{linear} transformations of matter supermultiplets generate half-integer
superspin supercurrents and the cubic interactions between matter and
half-integer superspin supermultiplets. In this work we show that consistent
and non-trivial \emph{antilinear} transformations of matter superfields lead to
the construction of integer superspin supercurrents and the cubic interactions
between mater and integer superspin supermultiplets. Applying Noether's method
to these transformations, we find new integer superspin supercurrents for the
case of a free massless chiral superfield. Furthermore, we use them to find new
integer superspin supercurrent multiplets for a massive chiral superfield and a
chiral superfield with a linear superpotential. Also various selection rules
for such interactions are found.
| [
{
"created": "Fri, 30 Nov 2018 15:56:45 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2018 16:21:35 GMT",
"version": "v2"
},
{
"created": "Fri, 3 May 2019 15:18:06 GMT",
"version": "v3"
}
] | 2019-05-22 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Gates,",
"S. James",
"Jr."
],
[
"Koutrolikos",
"K.",
""
]
] | In recent papers we demonstrated that consistent and non-trivial \emph{linear} transformations of matter supermultiplets generate half-integer superspin supercurrents and the cubic interactions between matter and half-integer superspin supermultiplets. In this work we show that consistent and non-trivial \emph{antilinear} transformations of matter superfields lead to the construction of integer superspin supercurrents and the cubic interactions between mater and integer superspin supermultiplets. Applying Noether's method to these transformations, we find new integer superspin supercurrents for the case of a free massless chiral superfield. Furthermore, we use them to find new integer superspin supercurrent multiplets for a massive chiral superfield and a chiral superfield with a linear superpotential. Also various selection rules for such interactions are found. |
0804.1047 | Marius de Leeuw | M de Leeuw | Bound States, Yangian Symmetry and Classical r-matrix for the AdS5 x S5
Superstring | V3: Published version, reference added | JHEP 0806:085,2008 | 10.1088/1126-6708/2008/06/085 | ITP-UU-08-18, SPIN-08-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the recently found S-matrices describing the scattering of
two-particle bound states of the light-cone string sigma model on AdS5 x S5 are
compatible with Yangian symmetry. In case the invariance with respect to the
centrally extended su(2|2) algebra is not sufficient to fully specify the
scattering matrix, the requirement of Yangian symmetry provides an alternative
to the Yang-Baxter equation and leads to a complete, up to an overall phase,
determination of the S-matrix. We then compare the semi-classical limit of the
bound state S-matrices with the universal classical r-matrix by Beisert and
Spill evaluated in the corresponding bound state representations and find
perfect agreement.
| [
{
"created": "Mon, 7 Apr 2008 14:50:58 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2008 15:21:30 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Oct 2009 14:18:47 GMT",
"version": "v3"
}
] | 2009-10-13 | [
[
"de Leeuw",
"M",
""
]
] | We show that the recently found S-matrices describing the scattering of two-particle bound states of the light-cone string sigma model on AdS5 x S5 are compatible with Yangian symmetry. In case the invariance with respect to the centrally extended su(2|2) algebra is not sufficient to fully specify the scattering matrix, the requirement of Yangian symmetry provides an alternative to the Yang-Baxter equation and leads to a complete, up to an overall phase, determination of the S-matrix. We then compare the semi-classical limit of the bound state S-matrices with the universal classical r-matrix by Beisert and Spill evaluated in the corresponding bound state representations and find perfect agreement. |
1206.4440 | Luis Melgar | Karl Landsteiner, Luis Melgar | Holographic Flow of Anomalous Transport Coefficients | 26 pages, no figures | null | 10.1007/JHEP10(2012)131 | IFT-UAM/CSIC-12-57 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic flow of anomalous conductivities induced by gauge
and gravitational Chern-Simons terms. We find that the contribution from the
gauge Chern-Simons term gives rise to a flow that can be interpreted in terms
of an effective, cutoff dependent chemical potential. In contrast the
contribution of the gauge-gravitational Chern-Simons term is just the
temperature squared and does not flow.
| [
{
"created": "Wed, 20 Jun 2012 10:11:17 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Landsteiner",
"Karl",
""
],
[
"Melgar",
"Luis",
""
]
] | We study the holographic flow of anomalous conductivities induced by gauge and gravitational Chern-Simons terms. We find that the contribution from the gauge Chern-Simons term gives rise to a flow that can be interpreted in terms of an effective, cutoff dependent chemical potential. In contrast the contribution of the gauge-gravitational Chern-Simons term is just the temperature squared and does not flow. |
1504.01925 | Omar Foda | Omar Foda and Jian-Feng Wu | From topological strings to minimal models | 23 pages, improved the presentation, added introductory material, etc | Journal of High Energy Physics, July 2015, 2015:136 | 10.1007/JHEP07(2015)136 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We glue four refined topological vertices to obtain the building block of 5D
$U(2)$ quiver instanton partition functions. We take the 4D limit of the result
to obtain the building block of 4D instanton partition functions which, using
the AGT correspondence, are identified with Virasoro conformal blocks.
We show that there is a choice of the parameters of the topological vertices
that we start with, as well as the parameters and the intermediate states
involved in the gluing procedure, such that we obtain Virasoro minimal model
conformal blocks.
| [
{
"created": "Wed, 8 Apr 2015 11:49:58 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2015 11:37:52 GMT",
"version": "v2"
}
] | 2015-08-07 | [
[
"Foda",
"Omar",
""
],
[
"Wu",
"Jian-Feng",
""
]
] | We glue four refined topological vertices to obtain the building block of 5D $U(2)$ quiver instanton partition functions. We take the 4D limit of the result to obtain the building block of 4D instanton partition functions which, using the AGT correspondence, are identified with Virasoro conformal blocks. We show that there is a choice of the parameters of the topological vertices that we start with, as well as the parameters and the intermediate states involved in the gluing procedure, such that we obtain Virasoro minimal model conformal blocks. |
1903.02880 | Eric Sharpe | Eric Sharpe | Categorical Equivalence and the Renormalization Group | 17 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018 | Fortschritte der Physik 67 (2019) 1910019 | 10.1002/prop.201910019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we review how categorical equivalences are realized by
renormalization group flow in physical realizations of stacks, derived
categories, and derived schemes. We begin by reviewing the physical realization
of sigma models on stacks, as (universality classes of) gauged sigma models,
and look in particular at properties of sigma models on gerbes (equivalently,
sigma models with restrictions on nonperturbative sectors), and decomposition,
in which two-dimensional sigma models on gerbes decompose into disjoint unions
of ordinary theories. We also discuss stack structures on examples of moduli
spaces of SCFTs, focusing on elliptic curves, and implications of subtleties
there for string dualities in other dimensions. In the second part of this
article, we review the physical realization of derived categories in terms of
renormalization group flow (time evolution) of combinations of D-branes,
antibranes, and tachyons. In the third part of this article, we review how
Landau-Ginzburg models provide a physical realization of derived schemes, and
also outline an example of a derived structure on a moduli spaces of SCFTs.
| [
{
"created": "Thu, 7 Mar 2019 12:40:06 GMT",
"version": "v1"
}
] | 2019-09-10 | [
[
"Sharpe",
"Eric",
""
]
] | In this article we review how categorical equivalences are realized by renormalization group flow in physical realizations of stacks, derived categories, and derived schemes. We begin by reviewing the physical realization of sigma models on stacks, as (universality classes of) gauged sigma models, and look in particular at properties of sigma models on gerbes (equivalently, sigma models with restrictions on nonperturbative sectors), and decomposition, in which two-dimensional sigma models on gerbes decompose into disjoint unions of ordinary theories. We also discuss stack structures on examples of moduli spaces of SCFTs, focusing on elliptic curves, and implications of subtleties there for string dualities in other dimensions. In the second part of this article, we review the physical realization of derived categories in terms of renormalization group flow (time evolution) of combinations of D-branes, antibranes, and tachyons. In the third part of this article, we review how Landau-Ginzburg models provide a physical realization of derived schemes, and also outline an example of a derived structure on a moduli spaces of SCFTs. |
1711.05773 | Miguel Campiglia | Miguel Campiglia, Leonardo Coito | Asymptotic charges from soft scalars in even dimensions | 15 pages | Phys. Rev. D 97, 066009 (2018) | 10.1103/PhysRevD.97.066009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study asymptotic charges associated to a spin-zero analogue of Weinberg's
soft photon and graviton theorems in even dimensions. Simple spacetime
expressions for the charges are given, but unlike gravity or electrodynamics,
the symmetry interpretation for the charges remains elusive. This work is a
higher dimensional extension of the four dimensional case studied in
arXiv:1703.07885 .
| [
{
"created": "Wed, 15 Nov 2017 19:45:27 GMT",
"version": "v1"
}
] | 2018-03-21 | [
[
"Campiglia",
"Miguel",
""
],
[
"Coito",
"Leonardo",
""
]
] | We study asymptotic charges associated to a spin-zero analogue of Weinberg's soft photon and graviton theorems in even dimensions. Simple spacetime expressions for the charges are given, but unlike gravity or electrodynamics, the symmetry interpretation for the charges remains elusive. This work is a higher dimensional extension of the four dimensional case studied in arXiv:1703.07885 . |
hep-th/0408134 | Michael Walker | M.L.Walker | Three point SUSY Ward identities without Ghosts | 20 pages, no figures, typos corrected | JHEP0412:011,2004 | 10.1088/1126-6708/2004/12/011 | null | hep-th | null | We utilise a non-local gauge transform which renders the entire action of
SUSY QED invariant and respects the SUSY algebra modulo the gauge-fixing
condition, to derive two- and three-point ghost-free SUSY Ward identities in
SUSY QED. We use the cluster decomposition principle to find the Green's
function Ward identities and then takes linear combinations of the latter to
derive identities for the proper functions.
| [
{
"created": "Wed, 18 Aug 2004 12:30:50 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Sep 2004 01:29:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Walker",
"M. L.",
""
]
] | We utilise a non-local gauge transform which renders the entire action of SUSY QED invariant and respects the SUSY algebra modulo the gauge-fixing condition, to derive two- and three-point ghost-free SUSY Ward identities in SUSY QED. We use the cluster decomposition principle to find the Green's function Ward identities and then takes linear combinations of the latter to derive identities for the proper functions. |
hep-th/9405200 | Tomoki Nakanishi | Tomoki Nakanishi | Fusion, mass, and representation theory of the Yangian algebra | 22 pages, 1 ps figure; psbox (included),harvmac, (minor revision, but
replacement recommended) HUTP-94/A010; v3: TeX compiling problem is fixed, no
change of contents | Nucl.Phys. B439 (1995) 441-460 | 10.1016/0550-3213(94)00458-Q | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the formulation of Drinfel'd, Chari, and Pressley, a technique to
analyze the structure of tensor products of the Yangian algebra representations
is presented. We then apply the results to the $S$-matrix theory of the
$G\otimes G$-invariant nonlinear $\sigma$-model ($G$-principal chiral model) by
Ogievetsky, Reshetikhin, and Wiegmann. We show how the physical data such as
mass formula, fusion angle, and the spins of integrals of motion can be
extracted from the Yangian highest weight representations.
| [
{
"created": "Tue, 31 May 1994 21:23:32 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jun 1994 02:42:39 GMT",
"version": "v2"
},
{
"created": "Tue, 13 May 2014 06:15:59 GMT",
"version": "v3"
}
] | 2014-05-14 | [
[
"Nakanishi",
"Tomoki",
""
]
] | Based on the formulation of Drinfel'd, Chari, and Pressley, a technique to analyze the structure of tensor products of the Yangian algebra representations is presented. We then apply the results to the $S$-matrix theory of the $G\otimes G$-invariant nonlinear $\sigma$-model ($G$-principal chiral model) by Ogievetsky, Reshetikhin, and Wiegmann. We show how the physical data such as mass formula, fusion angle, and the spins of integrals of motion can be extracted from the Yangian highest weight representations. |
1309.2928 | J. David Vergara | Carlos A. Margalli and J. David Vergara | Quantization of the Interacting Non-Hermitian Higher Order Derivative
Field | 21 pages, 10 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantization of higher order time derivative theories including
interactions is unclear. In this paper in order to solve this problem, we
propose to consider a complex version of the higher order derivative theory and
map this theory to a real first order theory. To achieve this relationship, the
higher order derivative formulation must be complex since there is not a real
canonical transformation from this theory to a real first order theory with
stable interactions. In this manner, we work with a non-Hermitian higher order
time derivative theory. To quantize this complex theory, we introduce reality
conditions that allow us to map the complex higher order theory to a real one,
and we show that the resulting theory is regularizable and renormalizable for a
class of interactions.
| [
{
"created": "Wed, 11 Sep 2013 19:57:26 GMT",
"version": "v1"
}
] | 2013-09-12 | [
[
"Margalli",
"Carlos A.",
""
],
[
"Vergara",
"J. David",
""
]
] | The quantization of higher order time derivative theories including interactions is unclear. In this paper in order to solve this problem, we propose to consider a complex version of the higher order derivative theory and map this theory to a real first order theory. To achieve this relationship, the higher order derivative formulation must be complex since there is not a real canonical transformation from this theory to a real first order theory with stable interactions. In this manner, we work with a non-Hermitian higher order time derivative theory. To quantize this complex theory, we introduce reality conditions that allow us to map the complex higher order theory to a real one, and we show that the resulting theory is regularizable and renormalizable for a class of interactions. |
2002.10161 | Saroj Chhatoi | Saroj Prasad Chhatoi and S. Kalyana Rama | Non singular, bouncing M theory universe | Latex file. 19 pages, 7 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a set of equations as a simple model for non singular evolutions
of a $10 + 1$ dimensional M theory universe. Our model uses ideas from Loop
Quantum Cosmology and offers a solution to the important problem of singularity
resolutions. We solve the equations numerically and find that an M theory
universe in this model evolves non singularly and with a bounce : going back in
time, its density reaches a maximum and decreases thereafter whereas its
physical size reaches a non vanishing minimum and increases thereafter. Taking
the constituents of the universe to be the most entropic ones (which are four
sets of intersecting M branes) leads to an effectively $3 + 1$ dimensional
spacetime as the M theory universe expands, both in the infinite past and
future.
| [
{
"created": "Mon, 24 Feb 2020 10:54:40 GMT",
"version": "v1"
}
] | 2020-02-25 | [
[
"Chhatoi",
"Saroj Prasad",
""
],
[
"Rama",
"S. Kalyana",
""
]
] | We propose a set of equations as a simple model for non singular evolutions of a $10 + 1$ dimensional M theory universe. Our model uses ideas from Loop Quantum Cosmology and offers a solution to the important problem of singularity resolutions. We solve the equations numerically and find that an M theory universe in this model evolves non singularly and with a bounce : going back in time, its density reaches a maximum and decreases thereafter whereas its physical size reaches a non vanishing minimum and increases thereafter. Taking the constituents of the universe to be the most entropic ones (which are four sets of intersecting M branes) leads to an effectively $3 + 1$ dimensional spacetime as the M theory universe expands, both in the infinite past and future. |
1001.1036 | Shahin Rouhani | Ali Hosseiny and Shahin Rouhani | Logarithmic Correlators in Non-relativistic Conformal Field Theory | 18 pages, no figures,some errors corrected | Journal of Mathematical Physics 51 (10), (2010) 102303 | 10.1063/1.3482008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how logarithmic terms may arise in the correlators of fields which
belong to the representation of the Schrodinger-Virasoro algebra (SV) or the
affine Galilean Conformal Algebra (GCA). We show that in GCA, only scaling
operator can have a Jordanian form and rapidity can not. We observe that in
both algebras logarithmic dependence appears along the time direction alone.
| [
{
"created": "Thu, 7 Jan 2010 09:13:27 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2010 14:02:46 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jan 2010 12:29:24 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Jul 2010 08:35:08 GMT",
"version": "v4"
}
] | 2015-07-15 | [
[
"Hosseiny",
"Ali",
""
],
[
"Rouhani",
"Shahin",
""
]
] | We show how logarithmic terms may arise in the correlators of fields which belong to the representation of the Schrodinger-Virasoro algebra (SV) or the affine Galilean Conformal Algebra (GCA). We show that in GCA, only scaling operator can have a Jordanian form and rapidity can not. We observe that in both algebras logarithmic dependence appears along the time direction alone. |
2111.06912 | Andrew Svesko | Juan F. Pedraza, Andrew Svesko, Watse Sybesma and Manus R. Visser | Microcanonical Action and the Entropy of Hawking Radiation | 5 pages and appendices, 2 figures; minor clarifications added, PRD
version | null | 10.1103/PhysRevD.105.126010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The island formula -- an extremization prescription for generalized entropy
-- is known to result in a unitary Page curve for the entropy of Hawking
radiation. This semi-classical entropy formula has been derived for
Jackiw-Teitelboim (JT) gravity coupled to conformal matter using the "replica
trick" to evaluate the Euclidean path integral. Alternatively, for eternal
Anti-de Sitter black holes, we derive the extremization of generalized entropy
from minimizing the microcanonical action of an entanglement wedge. The
on-shell action is minus the entropy and arises in the saddle-point
approximation of the (nonreplicated) microcanonical path integral. When the
black hole is coupled to a bath, islands emerge from maximizing the entropy at
fixed energy, consistent with the island formula. Our method applies to JT
gravity as well as other two-dimensional dilaton gravity theories.
| [
{
"created": "Fri, 12 Nov 2021 19:35:14 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2022 23:14:25 GMT",
"version": "v2"
}
] | 2022-06-22 | [
[
"Pedraza",
"Juan F.",
""
],
[
"Svesko",
"Andrew",
""
],
[
"Sybesma",
"Watse",
""
],
[
"Visser",
"Manus R.",
""
]
] | The island formula -- an extremization prescription for generalized entropy -- is known to result in a unitary Page curve for the entropy of Hawking radiation. This semi-classical entropy formula has been derived for Jackiw-Teitelboim (JT) gravity coupled to conformal matter using the "replica trick" to evaluate the Euclidean path integral. Alternatively, for eternal Anti-de Sitter black holes, we derive the extremization of generalized entropy from minimizing the microcanonical action of an entanglement wedge. The on-shell action is minus the entropy and arises in the saddle-point approximation of the (nonreplicated) microcanonical path integral. When the black hole is coupled to a bath, islands emerge from maximizing the entropy at fixed energy, consistent with the island formula. Our method applies to JT gravity as well as other two-dimensional dilaton gravity theories. |
hep-th/0004093 | Zygmunt Lalak | Adam Falkowski, Zygmunt Lalak and Stefan Pokorski | Supersymmetrizing Branes with Bulk in Five-Dimensional Supergravity | 14 pages, Latex, clarifying comments and references added, typos
corrected | Phys.Lett. B491 (2000) 172-182 | 10.1016/S0370-2693(00)00995-3 | null | hep-th | null | We supersymmetrize a class of moduli dependent potentials living on branes
with the help of additional bulk terms in 5d N=2 supergravity. The space of
Poincare invariant vacuum solutions includes the Randall-Sundrum solution and
the $M$-theoretical solution. After adding gauge sectors to the branes we
discuss breakdown of low energy supersymmetry in this setup and hierarchy of
physical scales. In the limit of large warp factors we find decoupling between
effects stemming from different branes in the compactified theory.
| [
{
"created": "Wed, 12 Apr 2000 18:55:27 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2000 19:32:16 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Falkowski",
"Adam",
""
],
[
"Lalak",
"Zygmunt",
""
],
[
"Pokorski",
"Stefan",
""
]
] | We supersymmetrize a class of moduli dependent potentials living on branes with the help of additional bulk terms in 5d N=2 supergravity. The space of Poincare invariant vacuum solutions includes the Randall-Sundrum solution and the $M$-theoretical solution. After adding gauge sectors to the branes we discuss breakdown of low energy supersymmetry in this setup and hierarchy of physical scales. In the limit of large warp factors we find decoupling between effects stemming from different branes in the compactified theory. |
1601.04087 | Kostiantyn Ropotenko | K. Ropotenko | Central charge | 14 pages, Note Added in Proof, published version | Mod. Phys. Lett. A, Vol.31, No.2 (2016) 1650018 | 10.1142/S0217732316500188 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Proceeding in exactly the same way as in the derivation of the temperature of
a dual CFT for the extremal black hole in the Kerr/CFT correspondence, it is
found that the temperature of a chiral, dual CFT for the Schwarzschild black
hole is $T=1/2\pi$. Comparing Cardy's formula with the Bekenstein-Hawking
entropy and using $T$, it is found that the central charge for the
Schwarzschild black hole is of the form $c=12J_{\rm in}$, where $J_{\rm in}$ is
the intrinsic angular momentum of the black hole, $J_{\rm in}=A/8\pi G$. It is
shown that the central charge for any four-dimensional (4D) extremal black hole
is of the same form. The possible universality of this form is briefly
discussed.
| [
{
"created": "Mon, 11 Jan 2016 15:32:27 GMT",
"version": "v1"
}
] | 2016-01-19 | [
[
"Ropotenko",
"K.",
""
]
] | Proceeding in exactly the same way as in the derivation of the temperature of a dual CFT for the extremal black hole in the Kerr/CFT correspondence, it is found that the temperature of a chiral, dual CFT for the Schwarzschild black hole is $T=1/2\pi$. Comparing Cardy's formula with the Bekenstein-Hawking entropy and using $T$, it is found that the central charge for the Schwarzschild black hole is of the form $c=12J_{\rm in}$, where $J_{\rm in}$ is the intrinsic angular momentum of the black hole, $J_{\rm in}=A/8\pi G$. It is shown that the central charge for any four-dimensional (4D) extremal black hole is of the same form. The possible universality of this form is briefly discussed. |
2312.06753 | Pyry Kuusela | Pyry Kuusela, Joseph McGovern | Reflections in the Mirror: Studying Infinite Coxeter Groups of
GV-Invariants | a contribution to the proceedings of the GLSM@30 conference | null | null | null | hep-th math.AG | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We study the problem of computing Gopakumar-Vafa invariants for
multiparameter families of symmetric Calabi-Yau threefolds admitting flops to
diffeomorphic manifolds. There are infinite Coxeter groups, generated by
permutations and flops, that act as symmetries on the GV-invariants of these
manifolds. We describe how these groups are related to symmetries in GLSMs and
the existence of multiple mirrors. Some representation theory of these Coxeter
groups is also discussed. The symmetries provide an infinite number of
relations between the GV-invariants for each fixed genus. This remarkable fact
is of assistance in obtaining higher-genus invariants via the BCOV recursion.
This proceedings article is based on joint work with Philip Candelas and Xenia
de la Ossa.
| [
{
"created": "Mon, 11 Dec 2023 19:00:01 GMT",
"version": "v1"
}
] | 2023-12-13 | [
[
"Kuusela",
"Pyry",
""
],
[
"McGovern",
"Joseph",
""
]
] | We study the problem of computing Gopakumar-Vafa invariants for multiparameter families of symmetric Calabi-Yau threefolds admitting flops to diffeomorphic manifolds. There are infinite Coxeter groups, generated by permutations and flops, that act as symmetries on the GV-invariants of these manifolds. We describe how these groups are related to symmetries in GLSMs and the existence of multiple mirrors. Some representation theory of these Coxeter groups is also discussed. The symmetries provide an infinite number of relations between the GV-invariants for each fixed genus. This remarkable fact is of assistance in obtaining higher-genus invariants via the BCOV recursion. This proceedings article is based on joint work with Philip Candelas and Xenia de la Ossa. |
hep-th/0205167 | Rafael de Lima Rodrigues | E. L. da Gra\c{c}a, H. L. Carrion and R. de Lima Rodrigues | A Representation of the Virasoro Algebra via Wigner-Heisenberg Algebraic
Technique to Bosonic Systems | Revised version. Revtex, 7 pages, no figures. This work was presented
in the XXII Brazilian National Meeting on Particles and Fields
(October/2001), to appear in Braz. J. of Phys., 33, 1 (2003) | Braz.J.Phys. 33 (2003) 333-335 | null | Preprint ``Notas de F\'\i sica'' CBPF-NF-012/02 | hep-th | null | Using the Wigner-Heisenberg algebra for bosonic systems in connection with
oscillators we find a new representation for the Virasoro algebra.
| [
{
"created": "Thu, 16 May 2002 12:12:09 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2003 20:05:04 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2003 14:58:24 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"da Graça",
"E. L.",
""
],
[
"Carrion",
"H. L.",
""
],
[
"Rodrigues",
"R. de Lima",
""
]
] | Using the Wigner-Heisenberg algebra for bosonic systems in connection with oscillators we find a new representation for the Virasoro algebra. |
1805.12160 | Mariano Chernicoff | M. Chernicoff, G. Giribet, N.E. Grandi, E.F. Lavia and J. Oliva | $Q$-curvature and gravity | 19 pages, no figures | Phys. Rev. D 98, 104023 (2018) | 10.1103/PhysRevD.98.104023 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider a family of $n$-dimensional, higher-curvature
theories of gravity whose action is given by a series of dimensionally extended
conformal invariants. The latter correspond to higher-order generalizations of
the Branson $Q$-curvature, which is an important notion of conformal geometry
that has been recently considered in physics in different contexts. The family
of theories we study here includes special cases of conformal invariant
theories in even dimensions. We study different aspects of these theories and
their relation to other higher-curvature theories present in the literature.
| [
{
"created": "Wed, 30 May 2018 18:13:41 GMT",
"version": "v1"
}
] | 2018-11-28 | [
[
"Chernicoff",
"M.",
""
],
[
"Giribet",
"G.",
""
],
[
"Grandi",
"N. E.",
""
],
[
"Lavia",
"E. F.",
""
],
[
"Oliva",
"J.",
""
]
] | In this paper, we consider a family of $n$-dimensional, higher-curvature theories of gravity whose action is given by a series of dimensionally extended conformal invariants. The latter correspond to higher-order generalizations of the Branson $Q$-curvature, which is an important notion of conformal geometry that has been recently considered in physics in different contexts. The family of theories we study here includes special cases of conformal invariant theories in even dimensions. We study different aspects of these theories and their relation to other higher-curvature theories present in the literature. |
hep-th/0405237 | Yukitaka Ishimoto | Yukitaka Ishimoto | Two-Point Functions and Logarithmic Boundary Operators in Boundary
Logarithmic Conformal Field Theories | Latex2e JHEP style, 22 pages, 4 figures, based on hep-th/0312160;
typo fixed | JHEP0408:039,2004 | 10.1088/1126-6708/2004/08/039 | RIKEN-TH-25 | hep-th | null | Amongst conformal field theories, there exist logarithmic conformal field
theories such as $c_{p,1}$ models. We have investigated $c_{p,q}$ models with a
boundary in search of logarithmic theories and have found logarithmic solutions
of two-point functions in the context of the Coulomb gas picture. We have also
found the relations between coefficients in the two-point functions and
correlation functions of logarithmic boundary operators, and have confirmed the
solutions in [hep-th/0003184]. Other two-point functions and boundary operators
have also been studied in the free boson construction of boundary CFT with
$SU(2)_k$ symmetry in regard to logarithmic theories. This paper is based on a
part of D. Phil. Thesis [hep-th/0312160].
| [
{
"created": "Wed, 26 May 2004 12:39:10 GMT",
"version": "v1"
},
{
"created": "Thu, 27 May 2004 12:35:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ishimoto",
"Yukitaka",
""
]
] | Amongst conformal field theories, there exist logarithmic conformal field theories such as $c_{p,1}$ models. We have investigated $c_{p,q}$ models with a boundary in search of logarithmic theories and have found logarithmic solutions of two-point functions in the context of the Coulomb gas picture. We have also found the relations between coefficients in the two-point functions and correlation functions of logarithmic boundary operators, and have confirmed the solutions in [hep-th/0003184]. Other two-point functions and boundary operators have also been studied in the free boson construction of boundary CFT with $SU(2)_k$ symmetry in regard to logarithmic theories. This paper is based on a part of D. Phil. Thesis [hep-th/0312160]. |
1201.3506 | Joan Camps | Joan Camps, Roberto Emparan | Derivation of the blackfold effective theory | 20 pages. v4: Typo corrected in eq. (6.11) -- erratum in the
published version | JHEP 1203 (2012) 038 | 10.1007/JHEP03(2012)038 | DCPT-12/05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study fluctuations and deformations of black branes over length scales
larger than the horizon radius. We prove that the Einstein equations for the
perturbed p-brane yield, as constraints, the equations of the effective
blackfold theory. We solve the Einstein equations for the perturbed geometry
and show that it remains regular on and outside the black brane horizon. This
study provides an ab initio derivation of the blackfold effective theory and
gives explicit expressions for the metrics near the new black holes and black
branes that result from it, to leading order in a derivative expansion.
| [
{
"created": "Tue, 17 Jan 2012 13:15:55 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jan 2012 14:33:36 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Mar 2012 19:45:01 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Jun 2012 16:43:00 GMT",
"version": "v4"
}
] | 2015-06-03 | [
[
"Camps",
"Joan",
""
],
[
"Emparan",
"Roberto",
""
]
] | We study fluctuations and deformations of black branes over length scales larger than the horizon radius. We prove that the Einstein equations for the perturbed p-brane yield, as constraints, the equations of the effective blackfold theory. We solve the Einstein equations for the perturbed geometry and show that it remains regular on and outside the black brane horizon. This study provides an ab initio derivation of the blackfold effective theory and gives explicit expressions for the metrics near the new black holes and black branes that result from it, to leading order in a derivative expansion. |
hep-th/9912190 | Feng-Li Lin | Feng-Li Lin, Yong-Shi Wu | The c-Function of Noncommutative Yang-Mills Theory from Holography | Replaced by modified version, hep-th/0005054 | null | null | null | hep-th | null | See hep-th/0005054.
| [
{
"created": "Tue, 21 Dec 1999 21:27:42 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Jan 2000 01:28:19 GMT",
"version": "v2"
},
{
"created": "Fri, 5 May 2000 04:45:46 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Lin",
"Feng-Li",
""
],
[
"Wu",
"Yong-Shi",
""
]
] | See hep-th/0005054. |
1506.02300 | Sergii Kutnii | Sergii Kutnii | Soap bubble hadronic states in a QCD-motivated Nambu-Jona-Lasinio model | null | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Inhomogeneous solutions of the gap equation in the mean field approach to
Nambu-Jona-Lasinio model are studied. An approximate Ginzburg-Landau-like gap
equation is obtained and the domain wall solution is found. Binding of fermions
to the domain wall is demonstrated. Compact domain wall with bound fermions is
studied and stabilisation by fermion pressure is demonstrated which opens a
possibility for existence of "soap bubble" hadronic states.
| [
{
"created": "Sun, 7 Jun 2015 19:05:34 GMT",
"version": "v1"
}
] | 2015-06-09 | [
[
"Kutnii",
"Sergii",
""
]
] | Inhomogeneous solutions of the gap equation in the mean field approach to Nambu-Jona-Lasinio model are studied. An approximate Ginzburg-Landau-like gap equation is obtained and the domain wall solution is found. Binding of fermions to the domain wall is demonstrated. Compact domain wall with bound fermions is studied and stabilisation by fermion pressure is demonstrated which opens a possibility for existence of "soap bubble" hadronic states. |
hep-th/9304014 | Gentil Oliveira Pires | C. Pinheiro, G. O. Pires and F. A. B. Rabelo de Carvalho | 1-Loop Analysis of the Photon Self-Energy due to 3D-Gravity | LaTex, 8 pages, 4 figures available on request from the authors,
UCP-HEP 93/02 | Europhys.Lett.25:329-333,1994 | 10.1209/0295-5075/25/5/003 | null | hep-th | null | A Maxwell-Chern-Simons field is minimally coupled to 3D-gravity. Feynman
rules are written down and 1-loop corrections to the gauge-field self-energy
are calculated. Transversality is verified and gauge-field dynamical mass
generation does not take place.
| [
{
"created": "Mon, 5 Apr 1993 17:59:32 GMT",
"version": "v1"
}
] | 2010-12-17 | [
[
"Pinheiro",
"C.",
""
],
[
"Pires",
"G. O.",
""
],
[
"de Carvalho",
"F. A. B. Rabelo",
""
]
] | A Maxwell-Chern-Simons field is minimally coupled to 3D-gravity. Feynman rules are written down and 1-loop corrections to the gauge-field self-energy are calculated. Transversality is verified and gauge-field dynamical mass generation does not take place. |
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