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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1803.02795 | Hugo Marrochio | Pablo A. Cano, Robie A. Hennigar, Hugo Marrochio | Complexity Growth Rate in Lovelock Gravity | 7 pages, 1 figure, minor improvements to abstract and discussion,
references added | Phys. Rev. Lett. 121, 121602 (2018) | 10.1103/PhysRevLett.121.121602 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the "Complexity = Action" framework we compute the late time growth of
complexity for charged black holes in Lovelock gravity. Our calculation is
facilitated by the fact that the null boundaries of the Wheeler-DeWitt patch do
not contribute at late times and essential contributions coming from the joints
are now understood arXiv:1803.00172. The late time growth rate reduces to a
difference of internal energies associated with the inner and outer horizons,
and in the limit where the mass is much larger than the charge, we reproduce
the celebrated result of $2M/\pi$ with corrections proportional to the highest
Lovelock coupling in even (boundary) dimensions. We find in some cases a
minimum mass below which complexity remains effectively constant, even if the
black hole contains a non-degenerate horizon.
| [
{
"created": "Wed, 7 Mar 2018 18:05:12 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2018 22:10:55 GMT",
"version": "v2"
}
] | 2018-09-26 | [
[
"Cano",
"Pablo A.",
""
],
[
"Hennigar",
"Robie A.",
""
],
[
"Marrochio",
"Hugo",
""
]
] | Using the "Complexity = Action" framework we compute the late time growth of complexity for charged black holes in Lovelock gravity. Our calculation is facilitated by the fact that the null boundaries of the Wheeler-DeWitt patch do not contribute at late times and essential contributions coming from the joints are now understood arXiv:1803.00172. The late time growth rate reduces to a difference of internal energies associated with the inner and outer horizons, and in the limit where the mass is much larger than the charge, we reproduce the celebrated result of $2M/\pi$ with corrections proportional to the highest Lovelock coupling in even (boundary) dimensions. We find in some cases a minimum mass below which complexity remains effectively constant, even if the black hole contains a non-degenerate horizon. |
hep-th/0512282 | Oleg Andreev | Oleg Andreev | Scaling Violation and Gauge/String Duality | 11 pages, 4 figures; v3: typos corrected, minor changes, to appear in
PRD | Phys.Rev. D73 (2006) 046010 | 10.1103/PhysRevD.73.046010 | LPTENS-05-40 | hep-th hep-ph | null | We explore the possibilities for scaling violation in gauge theories that
have string duals. Like in perturbative QCD, short-distance behaviour yields
logarithms that violate the scaling.
| [
{
"created": "Thu, 22 Dec 2005 09:45:27 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2006 08:22:57 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Feb 2006 10:35:10 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Andreev",
"Oleg",
""
]
] | We explore the possibilities for scaling violation in gauge theories that have string duals. Like in perturbative QCD, short-distance behaviour yields logarithms that violate the scaling. |
2203.13012 | Andreas Brandhuber | Andreas Brandhuber, Jan Plefka, Gabriele Travaglini | The SAGEX Review on Scattering Amplitudes, Chapter 1: Modern
Fundamentals of Amplitudes | 56 pages, see also the overview article arXiv:2203.13011. v3: journal
version | null | null | SAGEX-22-02, HU-EP-22/06, QMUL-PH-22-01 | hep-th gr-qc hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This chapter introduces the foundational elements of scattering amplitudes.
It is meant to be accessible to readers with only a basic understanding of
quantum field theory. Topics covered include: the four-dimensional
spinor-helicity formalism and the colour decomposition of Yang-Mills scattering
amplitudes; the study of soft and collinear limits of Yang-Mills and gravity
amplitudes; the BCFW recursion relation and generalised unitarity, also in the
superamplitudes formalism of $\mathcal{N}{=}4$ supersymmetric Yang-Mills; an
overview of standard and hidden symmetries of the $S$-matrix of
$\mathcal{N}{=}4$ supersymmetric Yang-Mills, such as the conformal, dual
conformal and Yangian symmetries; and a brief excursus on form factors of
protected and non-protected operators in Yang-Mills theory. Several examples
and explicit calculations are also provided.
| [
{
"created": "Thu, 24 Mar 2022 12:00:16 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Apr 2022 17:07:48 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jan 2023 11:22:31 GMT",
"version": "v3"
}
] | 2023-01-10 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Plefka",
"Jan",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | This chapter introduces the foundational elements of scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity formalism and the colour decomposition of Yang-Mills scattering amplitudes; the study of soft and collinear limits of Yang-Mills and gravity amplitudes; the BCFW recursion relation and generalised unitarity, also in the superamplitudes formalism of $\mathcal{N}{=}4$ supersymmetric Yang-Mills; an overview of standard and hidden symmetries of the $S$-matrix of $\mathcal{N}{=}4$ supersymmetric Yang-Mills, such as the conformal, dual conformal and Yangian symmetries; and a brief excursus on form factors of protected and non-protected operators in Yang-Mills theory. Several examples and explicit calculations are also provided. |
hep-th/9804017 | Christian Jaekel | Christian Jaekel | Cluster Estimates for Modular Structures | plain tex, 20 pages | null | null | null | hep-th | null | The basic ingredients of Tomita-Takesaki modular theory are used to establish
cluster estimates. Applications to thermal quantum field theory are discussed.
| [
{
"created": "Thu, 2 Apr 1998 13:44:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 1998 15:52:31 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Apr 1999 15:09:47 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Jaekel",
"Christian",
""
]
] | The basic ingredients of Tomita-Takesaki modular theory are used to establish cluster estimates. Applications to thermal quantum field theory are discussed. |
0807.3825 | Sen Zhang | Yoshinori Honma, Satoshi Iso, Yoske Sumitomo, Hiroshi Umetsu, Sen
Zhang | Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and
D2 Branes | 27 pages | Nucl.Phys.B816:256-277,2009 | 10.1016/j.nuclphysb.2009.03.009 | KEK-TH-1259 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate conformal symmetries of the Aharony-Bergman-Jafferis-Maldacena
(ABJM) theory for multiple M2 branes and the Lorentzian
Bagger-Lambert-Gustavsson (L-BLG) theory which can be obtained by taking a
scaling limit k (>>N) -> \infty of the ABJM theory. The conformal symmetry is
maintained in the L-BLG by considering general space-time varying solutions to
the constraint equations. The dual geometry is reduced to d=10 AdS4 x CP3 in
the scaling limit and has the same conformal symmetry. The curvature radius R
satisfies l_{11p} << l_{10p} << R << l_s (l_{dp} and l_s are the d-dimensional
Planck lengths and the string scale), and the theory is in a region where an
\alpha' expansion is not valid. We also study how the SO(8) covariance is
recovered in the AdS4 x CP3 geometry by taking the scaling limit.
| [
{
"created": "Thu, 24 Jul 2008 15:17:37 GMT",
"version": "v1"
}
] | 2010-05-12 | [
[
"Honma",
"Yoshinori",
""
],
[
"Iso",
"Satoshi",
""
],
[
"Sumitomo",
"Yoske",
""
],
[
"Umetsu",
"Hiroshi",
""
],
[
"Zhang",
"Sen",
""
]
] | We investigate conformal symmetries of the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory for multiple M2 branes and the Lorentzian Bagger-Lambert-Gustavsson (L-BLG) theory which can be obtained by taking a scaling limit k (>>N) -> \infty of the ABJM theory. The conformal symmetry is maintained in the L-BLG by considering general space-time varying solutions to the constraint equations. The dual geometry is reduced to d=10 AdS4 x CP3 in the scaling limit and has the same conformal symmetry. The curvature radius R satisfies l_{11p} << l_{10p} << R << l_s (l_{dp} and l_s are the d-dimensional Planck lengths and the string scale), and the theory is in a region where an \alpha' expansion is not valid. We also study how the SO(8) covariance is recovered in the AdS4 x CP3 geometry by taking the scaling limit. |
2101.07552 | Yakov Shnir | Yakov Shnir | Chains of interacting solitons | 18 pages, 9 figures; invited contribution to the Special Issue
"Symmetry in Particle Physics II" in Symmetry | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an overview of multisoliton chains arising in various
non-integrable field theories, and discuss different mechanisms, which may lead
to the occurrence of such axially-symmetric classical solutions. We explain the
pattern of interactions between different solitons, in particular Q-balls,
Skyrmions and monopoles and show how chains of interacting non-BPS solitons may
form in a dynamic equilibrium between repulsive and attractive forces.
| [
{
"created": "Tue, 19 Jan 2021 10:34:02 GMT",
"version": "v1"
}
] | 2021-01-20 | [
[
"Shnir",
"Yakov",
""
]
] | We present an overview of multisoliton chains arising in various non-integrable field theories, and discuss different mechanisms, which may lead to the occurrence of such axially-symmetric classical solutions. We explain the pattern of interactions between different solitons, in particular Q-balls, Skyrmions and monopoles and show how chains of interacting non-BPS solitons may form in a dynamic equilibrium between repulsive and attractive forces. |
1407.4401 | Luis Castro B | L. B. Castro and A. S. de Castro | Corroborating the equivalence between the Duffin-Kemmer-Petiau and the
Klein-Gordon and Proca equations | 13 pages, to appears in Phys. Rev. A | Phys. Rev. A 90 (2014) 022101 | 10.1103/PhysRevA.90.022101 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the Hamiltonian version of the Duffin-Kemmer-Petiau theory
with electromagnetic coupling brings about a source term at the current. It is
also shown that such a source term disappears from the scenario if one uses the
correct physical form for the Duffin-Kemmer-Petiau field, regardless the choice
for representing the Duffin-Kemmer-Petiau matrices. This result is used to fix
the ambiguity in the electromagnetic coupling in the Duffin-Kemmer-Petiau
theory. Moreover, some widespread misconceptions about the Hermiticity in the
Duffin-Kemmer-Petiau theory are discussed.
| [
{
"created": "Wed, 16 Jul 2014 18:00:52 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2014 17:12:34 GMT",
"version": "v2"
}
] | 2015-02-24 | [
[
"Castro",
"L. B.",
""
],
[
"de Castro",
"A. S.",
""
]
] | It is shown that the Hamiltonian version of the Duffin-Kemmer-Petiau theory with electromagnetic coupling brings about a source term at the current. It is also shown that such a source term disappears from the scenario if one uses the correct physical form for the Duffin-Kemmer-Petiau field, regardless the choice for representing the Duffin-Kemmer-Petiau matrices. This result is used to fix the ambiguity in the electromagnetic coupling in the Duffin-Kemmer-Petiau theory. Moreover, some widespread misconceptions about the Hermiticity in the Duffin-Kemmer-Petiau theory are discussed. |
hep-th/9710227 | Angel Gomez Nicola | Ramon F.Alvarez-Estrada, Angel Gomez Nicola | The Schwinger and Thirring models at finite chemical potential and
temperature | 21 pages, LaTex, to appear in Phys.Rev.D., available through
anonymous ftp from ftp://euclid.tp.ph.ic.ac.uk/papers or on WWW at
http://euclid.tp.ph.ic.ac.uk/Papers | Phys.Rev. D57 (1998) 3618-3633 | 10.1103/PhysRevD.57.3618 | FT/UCM/2-97, IMPERIAL/TP/96-97/44 | hep-th hep-ph | null | We study the generating functional for the massless Schwinger model in the
torus, at nonzero chemical potential and temperature. The lack of hermiticity
of the Dirac operator yields a non-trivial phase in the effective action, which
is a topological contribution induced by the chemical potential. In the sector
with no zero modes, we evaluate exactly the generating functional, the
partition function, the boson propagator and the thermally averaged Polyakov
loop. The system bosonizes at finite T and \mu, with the same mass as in
vacuum. From the solution obtained for the Schwinger model we derive also
exactly the generating functional and the partition function for the massless
Thirring model at nonzero T and \mu.
| [
{
"created": "Wed, 29 Oct 1997 19:06:05 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Alvarez-Estrada",
"Ramon F.",
""
],
[
"Nicola",
"Angel Gomez",
""
]
] | We study the generating functional for the massless Schwinger model in the torus, at nonzero chemical potential and temperature. The lack of hermiticity of the Dirac operator yields a non-trivial phase in the effective action, which is a topological contribution induced by the chemical potential. In the sector with no zero modes, we evaluate exactly the generating functional, the partition function, the boson propagator and the thermally averaged Polyakov loop. The system bosonizes at finite T and \mu, with the same mass as in vacuum. From the solution obtained for the Schwinger model we derive also exactly the generating functional and the partition function for the massless Thirring model at nonzero T and \mu. |
2006.03490 | Roldao da Rocha | J. M. Hoff da Silva, D. Beghetto, R. T. Cavalcanti, R. da Rocha | Exotic fermionic fields and minimal length | 9 pages | Eur. Phys. J. C 80 (2020) 727 | 10.1140/epjc/s10052-020-8313-z | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the effective Dirac equation, corrected by merging two
scenarios that are expected to emerge towards the quantum gravity scale.
Namely, the existence of a minimal length, implemented by the generalized
uncertainty principle, and exotic spinors, associated with any non-trivial
topology equipping the spacetime manifold. We show that the free fermionic
dynamical equations, within the context of a minimal length, just allow for
trivial solutions, a feature that is not shared by dynamical equations for
exotic spinors. In fact, in this coalescing setup, the exoticity is shown to
prevent the Dirac operator to be injective, allowing the existence of
non-trivial solutions.
| [
{
"created": "Fri, 5 Jun 2020 14:45:08 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2020 17:31:20 GMT",
"version": "v2"
}
] | 2020-08-18 | [
[
"da Silva",
"J. M. Hoff",
""
],
[
"Beghetto",
"D.",
""
],
[
"Cavalcanti",
"R. T.",
""
],
[
"da Rocha",
"R.",
""
]
] | We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions. |
1310.1925 | Geoffrey Comp\`ere | David D. K. Chow and Geoffrey Comp\`ere | Seed for general rotating non-extremal black holes of N=8 supergravity | BPS limit, extremal fast and slow rotating branches discussed. 1
Mathematica file of solution. Published version | Class. Quant. Grav. 31, 022001 (2014) | 10.1088/0264-9381/31/2/022001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the most general asymptotically flat, stationary, non-extremal,
dyonic black hole of the four-dimensional N = 2 supergravity coupled to 3
vector multiplets that describes the low-energy regime of the STU model. Under
U-dualities, this can be used as a seed to generate all single-centered
stationary black holes of N = 8 supergravity. The independent conserved charges
are the mass, angular momentum, four electric charges and four magnetic
charges; an independent NUT charge can also be added. Several aspects of the
black hole are presented, including thermodynamics, the BPS limit, the
near-horizon limit in the extremal fast and slow rotating cases, properties of
black hole horizons, the existence of Killing tensors and the separability of
probe scalars.
| [
{
"created": "Mon, 7 Oct 2013 20:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2013 17:24:06 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Dec 2013 21:20:38 GMT",
"version": "v3"
}
] | 2013-12-24 | [
[
"Chow",
"David D. K.",
""
],
[
"Compère",
"Geoffrey",
""
]
] | We describe the most general asymptotically flat, stationary, non-extremal, dyonic black hole of the four-dimensional N = 2 supergravity coupled to 3 vector multiplets that describes the low-energy regime of the STU model. Under U-dualities, this can be used as a seed to generate all single-centered stationary black holes of N = 8 supergravity. The independent conserved charges are the mass, angular momentum, four electric charges and four magnetic charges; an independent NUT charge can also be added. Several aspects of the black hole are presented, including thermodynamics, the BPS limit, the near-horizon limit in the extremal fast and slow rotating cases, properties of black hole horizons, the existence of Killing tensors and the separability of probe scalars. |
hep-th/0209111 | Ian Jack | O. Foda, I. Jack and D.R.T. Jones | General classical solutions in the noncommutative CP^(N-1) model | 11 pages, Harvmac. Typos corrected, references added | Phys.Lett. B547 (2002) 79-84 | 10.1016/S0370-2693(02)02753-3 | LTH 561 | hep-th | null | We give an explicit construction of general classical solutions for the
noncommutative CP^(N-1) model in two dimensions, showing that they correspond
to integer values for the action and topological charge. We also give explicit
solutions for the Dirac equation in the background of these general solutions
and show that the index theorem is satisfied.
| [
{
"created": "Fri, 13 Sep 2002 11:42:54 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Oct 2002 11:43:39 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Foda",
"O.",
""
],
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
]
] | We give an explicit construction of general classical solutions for the noncommutative CP^(N-1) model in two dimensions, showing that they correspond to integer values for the action and topological charge. We also give explicit solutions for the Dirac equation in the background of these general solutions and show that the index theorem is satisfied. |
1212.1239 | Sachindeo Vaidya | A. P. Balachandran, A. R. de Queiroz and S. Vaidya | Entropy of Quantum States: Ambiguities | 16 pages, LaTex | null | null | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The von Neumann entropy of a generic quantum state is not unique unless the
state can be uniquely decomposed as a sum of extremal or pure states. As
pointed out to us by Sorkin, this happens if the GNS representation (of the
algebra of observables in some quantum state) is reducible, and some
representations in the decomposition occur with non-trivial degeneracy. This
non-unique entropy can occur at zero temperature. We will argue elsewhere in
detail that the degeneracies in the GNS representation can be interpreted as an
emergent broken gauge symmetry, and play an important role in the analysis of
emergent entropy due to non-Abelian anomalies. Finally, we establish the
analogue of an H-theorem for this entropy by showing that its evolution is
Markovian, determined by a stochastic matrix.
| [
{
"created": "Thu, 6 Dec 2012 05:54:53 GMT",
"version": "v1"
}
] | 2012-12-11 | [
[
"Balachandran",
"A. P.",
""
],
[
"de Queiroz",
"A. R.",
""
],
[
"Vaidya",
"S.",
""
]
] | The von Neumann entropy of a generic quantum state is not unique unless the state can be uniquely decomposed as a sum of extremal or pure states. As pointed out to us by Sorkin, this happens if the GNS representation (of the algebra of observables in some quantum state) is reducible, and some representations in the decomposition occur with non-trivial degeneracy. This non-unique entropy can occur at zero temperature. We will argue elsewhere in detail that the degeneracies in the GNS representation can be interpreted as an emergent broken gauge symmetry, and play an important role in the analysis of emergent entropy due to non-Abelian anomalies. Finally, we establish the analogue of an H-theorem for this entropy by showing that its evolution is Markovian, determined by a stochastic matrix. |
hep-th/9906243 | Alexei Yung | Alexei Yung (Petersburg Nuclear Physics Institute) | Vortices on the Higgs Branch of the Seiberg-Witten Theory | LATEX file, 27 pages, no figures | Nucl.Phys.B562:191-209,1999 | 10.1016/S0550-3213(99)00529-5 | PNPI-TH-2319 | hep-th | null | We study the mechanism of confinement via formation of
Abrikosov-Nielsen-Olesen vortices on the Higgs branch of N=2 supersymmetric
SU(2) gauge theory with massive fundamental matter. Higgs branch represents a
limiting case of superconductor of type I with vanishing Higgs mass. We show
that in this limit vortices still exist although they become logarithmically
"thick". Because of this the confining potential is not linear any longer. It
behaves as $L/\log L$ with a distance $L$ between confining heavy charges
(monopoles). This new confining regime can occur only in supersymmetric
theories. We also address the problem of quantum stability of vortices. To this
end we develop string representation for a vortex and use it to argue that
vortices remain stable.
| [
{
"created": "Wed, 30 Jun 1999 13:39:03 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Yung",
"Alexei",
"",
"Petersburg Nuclear Physics Institute"
]
] | We study the mechanism of confinement via formation of Abrikosov-Nielsen-Olesen vortices on the Higgs branch of N=2 supersymmetric SU(2) gauge theory with massive fundamental matter. Higgs branch represents a limiting case of superconductor of type I with vanishing Higgs mass. We show that in this limit vortices still exist although they become logarithmically "thick". Because of this the confining potential is not linear any longer. It behaves as $L/\log L$ with a distance $L$ between confining heavy charges (monopoles). This new confining regime can occur only in supersymmetric theories. We also address the problem of quantum stability of vortices. To this end we develop string representation for a vortex and use it to argue that vortices remain stable. |
0801.2062 | Michael Bordag | M. Bordag, N. Khusnutdinov | On the vacuum energy of a spherical plasma shell | 16 pages, 3 figures, submitted to Phys.Rev.D | Phys.Rev.D77:085026,2008 | 10.1103/PhysRevD.77.085026 | null | hep-th quant-ph | null | We consider the vacuum energy of the electromagnetic field interacting with a
spherical plasma shell together with a model for the classical motion of the
shell. We calculate the heat kernel coefficients, especially that for the TM
mode, and carry out the renormalization by redefining the parameters of the
classical model. It turns out that this is possible and results in a model,
which in the limit of the plasma shell becoming an ideal conductor reproduces
the vacuum energy found by Boyer in 1968.
| [
{
"created": "Mon, 14 Jan 2008 12:31:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bordag",
"M.",
""
],
[
"Khusnutdinov",
"N.",
""
]
] | We consider the vacuum energy of the electromagnetic field interacting with a spherical plasma shell together with a model for the classical motion of the shell. We calculate the heat kernel coefficients, especially that for the TM mode, and carry out the renormalization by redefining the parameters of the classical model. It turns out that this is possible and results in a model, which in the limit of the plasma shell becoming an ideal conductor reproduces the vacuum energy found by Boyer in 1968. |
hep-th/0310004 | Eugene Loginov | E.K. Loginov | On self-dual Yang-Mills fields in eight and seven dimensions | 6 pages, LaTeX, no figures | null | null | null | hep-th | null | The self-duality equations for gauge fields in pseudoeuclidean spaces of
eight and seven dimensions are considered. Some new classes of solutions of the
equations are found.
| [
{
"created": "Wed, 1 Oct 2003 09:24:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Loginov",
"E. K.",
""
]
] | The self-duality equations for gauge fields in pseudoeuclidean spaces of eight and seven dimensions are considered. Some new classes of solutions of the equations are found. |
2101.00447 | Antonio Ribeiro | A. S. Ribeiro, G. Alencar, R. R. Landim | Analytical Solution for Bosonic Fields in the FRW Multiply Warped
Braneworld | arXiv admin note: substantial text overlap with arXiv:1911.00528 | null | 10.1142/S0217732321501108 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we find analytical solutions for the scalar and gauge fields in
the Freedman-Robertson-Walker multiply warped braneworld scenario. With this we
find the precise mass spectra for these fields. We compare these spectra with
that previously found in the literature for the static case.
| [
{
"created": "Sat, 2 Jan 2021 12:51:37 GMT",
"version": "v1"
}
] | 2021-06-16 | [
[
"Ribeiro",
"A. S.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] | In this paper we find analytical solutions for the scalar and gauge fields in the Freedman-Robertson-Walker multiply warped braneworld scenario. With this we find the precise mass spectra for these fields. We compare these spectra with that previously found in the literature for the static case. |
1709.01520 | Andrew Lucas | Chi-Fang Chen, Andrew Lucas | Origin of the Drude peak and of zero sound in probe brane holography | 11 pages | Physics Letters B774, 569 (2017) | 10.1016/j.physletb.2017.10.023 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At zero temperature, the charge current operator appears to be conserved,
within linear response, in certain holographic probe brane models of strange
metals. At small but finite temperature, we analytically show that the weak
non-conservation of this current leads to both a collective "zero sound" mode
and a Drude peak in the electrical conductivity. This simultaneously resolves
two outstanding puzzles about probe brane theories. The nonlinear dynamics of
the current operator itself appears qualitatively different.
| [
{
"created": "Tue, 5 Sep 2017 18:00:03 GMT",
"version": "v1"
}
] | 2017-10-27 | [
[
"Chen",
"Chi-Fang",
""
],
[
"Lucas",
"Andrew",
""
]
] | At zero temperature, the charge current operator appears to be conserved, within linear response, in certain holographic probe brane models of strange metals. At small but finite temperature, we analytically show that the weak non-conservation of this current leads to both a collective "zero sound" mode and a Drude peak in the electrical conductivity. This simultaneously resolves two outstanding puzzles about probe brane theories. The nonlinear dynamics of the current operator itself appears qualitatively different. |
hep-th/9706006 | null | Girish S. Setlur and Yia-Chung Chang | Single-Particle Green Functions in Exactly Solvable Models of Bose and
Fermi Liquids | Latest version to be published in Phys. Rev. B. enlarged to around 40
pages | To be published in Phys. Rev. B15 in June 1998 | 10.1103/PhysRevB.57.15144 | UIUC preprint 1997 | hep-th cond-mat | null | Based on a class of exactly solvable models of interacting bose and fermi
liquids, we compute the single-particle propagators of these systems exactly
for all wavelengths and energies and in any number of spatial dimensions. The
field operators are expressed in terms of bose fields that correspond to
displacements of the condensate in the bose case and displacements of the fermi
sea in the fermi case.
Unlike some of the previous attempts, the present attempt reduces the answer
for the spectral function in any dimension in both fermi and bose systems to
quadratures.
It is shown that when only the lowest order sea-displacement terms are
included, the random phase approximation in its many guises is recovered in the
fermi case, and Bogoliubov's theory in the bose case. The momentum distribution
is evaluated using two different approaches, exact diagonalisation and the
equation of motion approach.
The novelty being of course, the exact computation of single-particle
properties including short wavelength behaviour.
| [
{
"created": "Sun, 1 Jun 1997 21:58:13 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Jun 1997 03:24:07 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Sep 1997 21:24:42 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Apr 1998 23:18:22 GMT",
"version": "v4"
}
] | 2016-09-06 | [
[
"Setlur",
"Girish S.",
""
],
[
"Chang",
"Yia-Chung",
""
]
] | Based on a class of exactly solvable models of interacting bose and fermi liquids, we compute the single-particle propagators of these systems exactly for all wavelengths and energies and in any number of spatial dimensions. The field operators are expressed in terms of bose fields that correspond to displacements of the condensate in the bose case and displacements of the fermi sea in the fermi case. Unlike some of the previous attempts, the present attempt reduces the answer for the spectral function in any dimension in both fermi and bose systems to quadratures. It is shown that when only the lowest order sea-displacement terms are included, the random phase approximation in its many guises is recovered in the fermi case, and Bogoliubov's theory in the bose case. The momentum distribution is evaluated using two different approaches, exact diagonalisation and the equation of motion approach. The novelty being of course, the exact computation of single-particle properties including short wavelength behaviour. |
hep-th/9805211 | Sebastian Jaimungal | Sebastian Jaimungal (N. B. I. and British Columbia U.) | T-Duality in Lattice Regularized Sigma Models | LaTeX, 11 pages, no figures | Phys.Lett.B441:147-154,1998 | 10.1016/S0370-2693(98)01153-8 | NBI-HE-98-15 | hep-th hep-lat | null | It is shown that when the underlying sigma model of bosonic string theory is
written in terms of single-valued fields, which live in the covering space of
the target space, Abelian T-duality survives lattice regularization of the
world-sheet. The projection onto the target-space is implemented through a sum
over cohomology, which bears resemblance to summing over topological sectors in
Yang-Mills theories. In particular, the case of string theory on a circle is
shown to be explicitly self-dual in the lattice regulated model and
automatically forbids vortex excitations which would otherwise destroy the
duality. For other target spaces a generalized notion of T-duality is observed
in which the target space and the cohomology coefficient group are interchanged
under duality. Specific examples show that the fundamental group of the target
space may not be preserved in the T-dual theory. Generalized models which
exhibit T-duality behaviour, with dynamical variables that live on the
k-dimensional cells of (p+1)-dimensional world-volumes, are also constructed.
These models correspond to gauge theories, and higher-dimensional analogues, in
which one sums over various topological sectors of the theory.
| [
{
"created": "Fri, 29 May 1998 18:43:11 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jaimungal",
"Sebastian",
"",
"N. B. I. and British Columbia U."
]
] | It is shown that when the underlying sigma model of bosonic string theory is written in terms of single-valued fields, which live in the covering space of the target space, Abelian T-duality survives lattice regularization of the world-sheet. The projection onto the target-space is implemented through a sum over cohomology, which bears resemblance to summing over topological sectors in Yang-Mills theories. In particular, the case of string theory on a circle is shown to be explicitly self-dual in the lattice regulated model and automatically forbids vortex excitations which would otherwise destroy the duality. For other target spaces a generalized notion of T-duality is observed in which the target space and the cohomology coefficient group are interchanged under duality. Specific examples show that the fundamental group of the target space may not be preserved in the T-dual theory. Generalized models which exhibit T-duality behaviour, with dynamical variables that live on the k-dimensional cells of (p+1)-dimensional world-volumes, are also constructed. These models correspond to gauge theories, and higher-dimensional analogues, in which one sums over various topological sectors of the theory. |
0812.0175 | Andres Collinucci | Andres Collinucci | New F-theory lifts | 13 pages, 4 tables; added references, 1 table, and some
acknowledgements; minor modifications and clarifications | JHEP 0908:076,2009 | 10.1088/1126-6708/2009/08/076 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, a procedure is developed to explicitly construct non-trivial
F-theory lifts of perturbative IIB orientifold models on Calabi-Yau complete
intersections in toric varieties. This procedure works on Calabi-Yau
orientifolds where the involution coordinate can have arbitrary projective
weight, as opposed to the well-known hypersurface cases where it has half the
weight of the equation defining the CY threefold. This opens up the possibility
of lifting more general setups, such as models that have O3-planes.
| [
{
"created": "Mon, 1 Dec 2008 20:56:37 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2009 21:35:01 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Collinucci",
"Andres",
""
]
] | In this note, a procedure is developed to explicitly construct non-trivial F-theory lifts of perturbative IIB orientifold models on Calabi-Yau complete intersections in toric varieties. This procedure works on Calabi-Yau orientifolds where the involution coordinate can have arbitrary projective weight, as opposed to the well-known hypersurface cases where it has half the weight of the equation defining the CY threefold. This opens up the possibility of lifting more general setups, such as models that have O3-planes. |
hep-th/0405044 | Yoshihiro Takeyama | H. Boos, M. Jimbo, T. Miwa, F. Smirnov and Y. Takeyama | A recursion formula for the correlation functions of an inhomogeneous
XXX model | 37 pages, 1 figure, Proof of Lemma 4.8 modified | null | null | null | hep-th cond-mat.stat-mech math-ph math.MP math.QA | null | A new recursion formula is presented for the correlation functions of the
integrable spin 1/2 XXX chain with inhomogeneity. It relates the correlators
involving n consecutive lattice sites to those with n-1 and n-2 sites. In a
series of papers by V. Korepin and two of the present authors, it was
discovered that the correlators have a certain specific structure as functions
of the inhomogeneity parameters. Our formula allows for a direct proof of this
structure, as well as an exact description of the rational functions which has
been left undetermined in the previous works.
| [
{
"created": "Thu, 6 May 2004 02:47:37 GMT",
"version": "v1"
},
{
"created": "Mon, 10 May 2004 06:47:33 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jun 2004 02:40:53 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Boos",
"H.",
""
],
[
"Jimbo",
"M.",
""
],
[
"Miwa",
"T.",
""
],
[
"Smirnov",
"F.",
""
],
[
"Takeyama",
"Y.",
""
]
] | A new recursion formula is presented for the correlation functions of the integrable spin 1/2 XXX chain with inhomogeneity. It relates the correlators involving n consecutive lattice sites to those with n-1 and n-2 sites. In a series of papers by V. Korepin and two of the present authors, it was discovered that the correlators have a certain specific structure as functions of the inhomogeneity parameters. Our formula allows for a direct proof of this structure, as well as an exact description of the rational functions which has been left undetermined in the previous works. |
hep-th/9604070 | Ashoke Sen | Ashoke Sen | Duality and Orbifolds | LaTeX file, 19 pages, a new example and references added | Nucl.Phys.B474:361-378,1996 | 10.1016/0550-3213(96)00291-X | MRI-PHY/96-12 | hep-th | null | We construct several examples where duality transformation commutes with the
orbifolding procedure even when the orbifolding group does not act freely, and
there are massless states from the twisted sector at a generic point in the
moduli space. Often the matching of spectrum in the dual theories is a result
of non-trivial identities satisfied by the coefficients of one loop tadpoles in
the heterotic, type II and type I string theories.
| [
{
"created": "Sun, 14 Apr 1996 15:37:36 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 1996 16:04:11 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We construct several examples where duality transformation commutes with the orbifolding procedure even when the orbifolding group does not act freely, and there are massless states from the twisted sector at a generic point in the moduli space. Often the matching of spectrum in the dual theories is a result of non-trivial identities satisfied by the coefficients of one loop tadpoles in the heterotic, type II and type I string theories. |
1407.7608 | Satoshi Yajima | S. Yajima, K. Eguchi, M. Fukuda, T. Oka, H. Taira, and S. Yamashita | Chiral anomaly for V-A fields in four- and six-dimensional curved space | 7 pages | null | 10.1093/ptep/ptu115 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting
with nonabelian vector and axial-vector fields in four- and six-dimensional
curved space are given in tensorial form.
| [
{
"created": "Tue, 29 Jul 2014 00:27:28 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2014 01:46:51 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Jun 2017 07:02:38 GMT",
"version": "v3"
}
] | 2017-06-26 | [
[
"Yajima",
"S.",
""
],
[
"Eguchi",
"K.",
""
],
[
"Fukuda",
"M.",
""
],
[
"Oka",
"T.",
""
],
[
"Taira",
"H.",
""
],
[
"Yamashita",
"S.",
""
]
] | The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting with nonabelian vector and axial-vector fields in four- and six-dimensional curved space are given in tensorial form. |
hep-th/9210134 | null | M. D. Freeman and P. West | $W_3$ string scattering | 11 pages, KCL-TH-92-4/NI 92007 | Phys.Lett. B299 (1993) 30-36 | 10.1016/0370-2693(93)90879-M | null | hep-th | null | The group theoretic method is extended to include fields with a background
charge. This formalism is used to compute the tree level scattering for $W_3$
strings. The scattering amplitudes involve Ising model correlation functions. A
detailed study of the four tachyon amplitude shows that the $W_3$ string must
possess additional states in its spectrum associated with intercept $1/2$ and
the energy operator of the Ising model.
| [
{
"created": "Mon, 26 Oct 1992 15:28:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Freeman",
"M. D.",
""
],
[
"West",
"P.",
""
]
] | The group theoretic method is extended to include fields with a background charge. This formalism is used to compute the tree level scattering for $W_3$ strings. The scattering amplitudes involve Ising model correlation functions. A detailed study of the four tachyon amplitude shows that the $W_3$ string must possess additional states in its spectrum associated with intercept $1/2$ and the energy operator of the Ising model. |
1805.03250 | Dionisio Bazeia | D. Bazeia, M.A. Marques, R. Menezes | Magnetic monopoles with internal structure | 6 pages, 8 figures; version to appear in PRD | Phys. Rev. D 97, 105024 (2018) | 10.1103/PhysRevD.97.105024 | null | hep-th hep-ph nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the presence of magnetic monopoles in a model that extends the
non Abelian model originally studied by 't Hooft and Polyakov with the
inclusion of an extra neutral field. The investigation includes modifications
of the dynamics of the gauged fields, and the main results unveil a route to
construct solutions that engender internal structure and live in a compact
space.
| [
{
"created": "Tue, 8 May 2018 19:37:13 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2018 23:15:46 GMT",
"version": "v2"
}
] | 2018-06-06 | [
[
"Bazeia",
"D.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | We investigate the presence of magnetic monopoles in a model that extends the non Abelian model originally studied by 't Hooft and Polyakov with the inclusion of an extra neutral field. The investigation includes modifications of the dynamics of the gauged fields, and the main results unveil a route to construct solutions that engender internal structure and live in a compact space. |
hep-th/9401085 | M. Pflaum | Markus J. Pflaum | Quantum Groups on Fibre Bundles | 50 pages | Commun.Math.Phys.166:279-316,1994 | 10.1007/BF02112317 | null | hep-th math.QA | null | It is shown that the principle of locality and noncommutative geometry can be
connnected by a sheaf theoretical method. In this framework quantum spaces are
introduced and examples in mathematical physics are given. With the language of
quantum spaces noncommutative principal and vector bundles are defined and
their properties are studied. Important constructions in the classical theory
of principal fibre bundles like associated bundles and differential calculi are
carried over to the quantum case. At the end $q$-deformed instanton models are
introduced for every integral index.
| [
{
"created": "Wed, 19 Jan 1994 09:27:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Pflaum",
"Markus J.",
""
]
] | It is shown that the principle of locality and noncommutative geometry can be connnected by a sheaf theoretical method. In this framework quantum spaces are introduced and examples in mathematical physics are given. With the language of quantum spaces noncommutative principal and vector bundles are defined and their properties are studied. Important constructions in the classical theory of principal fibre bundles like associated bundles and differential calculi are carried over to the quantum case. At the end $q$-deformed instanton models are introduced for every integral index. |
1905.00766 | Lucrezia Ravera | Lucrezia Ravera | AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat
limit | V2, 17 pages, version accepted for publication in Physics Letters B | Phys. Lett. B 795 (2019) 331-338 | 10.1016/j.physletb.2019.06.026 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Carroll symmetries arise when the velocity of light is sent to zero
(ultra-relativistic limit). In this paper, we present the construction of the
three-dimensional Chern-Simons supergravity theory invariant under the
so-called AdS Carroll superalgebra, which was obtained in the literature as a
contraction of the AdS superalgebra. The action is characterized by two
coupling constants. Subsequently, we study its flat limit, obtaining the
three-dimensional Chern-Simons supergravity theory invariant under the
super-Carroll algebra, which is a contraction of the Poincar\'e superalgebra.
We apply the flat limit at the level of the superalgebra, Chern-Simons action,
supersymmetry transformation laws, and field equations.
| [
{
"created": "Thu, 2 May 2019 14:28:46 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 15:26:30 GMT",
"version": "v2"
}
] | 2019-06-28 | [
[
"Ravera",
"Lucrezia",
""
]
] | Carroll symmetries arise when the velocity of light is sent to zero (ultra-relativistic limit). In this paper, we present the construction of the three-dimensional Chern-Simons supergravity theory invariant under the so-called AdS Carroll superalgebra, which was obtained in the literature as a contraction of the AdS superalgebra. The action is characterized by two coupling constants. Subsequently, we study its flat limit, obtaining the three-dimensional Chern-Simons supergravity theory invariant under the super-Carroll algebra, which is a contraction of the Poincar\'e superalgebra. We apply the flat limit at the level of the superalgebra, Chern-Simons action, supersymmetry transformation laws, and field equations. |
2206.09559 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Marco Barsanti, Stefano Bolognesi | Near-BPS Skyrmions | LaTeX: 51 pages, 11 figures; V2: comments added, reference added and
typos corrected | JHEP 2211:92, 2022 | 10.1007/JHEP11(2022)092 | IFUP-TH-2022 | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Skyrme model in the near-BPS limit. The BPS part is made of
the sextic term plus a potential and the deformation is made of the standard
massive Skyrme model controlled by a small parameter $\epsilon\ll1$. In order
to keep the perturbation under theoretical and computational control, we find a
model for which BPS Skyrmions have compact support, henceforth denoted as
compactons, and the spherically symmetric $B=1$ Skyrmion represents the most
stable solution. We use the $\epsilon$-expansion scheme to systematically
calculate the corrections to the energy and compare with the exact numerical
computations in the $B=1$ sector. Finally, we use the $\epsilon$-expansion
scheme to calculate the bound state of two $B=1$ Skyrmions and its binding
energy, which corresponds, prior to quantization, to the deuteron in our model.
| [
{
"created": "Mon, 20 Jun 2022 03:50:23 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2022 14:42:12 GMT",
"version": "v2"
}
] | 2022-11-18 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Barsanti",
"Marco",
""
],
[
"Bolognesi",
"Stefano",
""
]
] | We consider the Skyrme model in the near-BPS limit. The BPS part is made of the sextic term plus a potential and the deformation is made of the standard massive Skyrme model controlled by a small parameter $\epsilon\ll1$. In order to keep the perturbation under theoretical and computational control, we find a model for which BPS Skyrmions have compact support, henceforth denoted as compactons, and the spherically symmetric $B=1$ Skyrmion represents the most stable solution. We use the $\epsilon$-expansion scheme to systematically calculate the corrections to the energy and compare with the exact numerical computations in the $B=1$ sector. Finally, we use the $\epsilon$-expansion scheme to calculate the bound state of two $B=1$ Skyrmions and its binding energy, which corresponds, prior to quantization, to the deuteron in our model. |
hep-th/9704076 | Olaf Lechtenfeld | Olaf Lechtenfeld and Warren Siegel | N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills | 9 pages, no figures, LaTeX (amsbsy,latexsym) | Phys.Lett. B405 (1997) 49-54 | 10.1016/S0370-2693(97)00595-9 | CERN-TH/97-59 and ITP-UH-11/97 and ITP-SB-97-20 | hep-th | null | When the gauge instantons on the N=2 string worldsheet are properly included
in the sum over topologies, the breaking of SO(2,2) Lorentz symmetry in R^{2,2}
is parametrized by a spacetime twistor containing the string coupling and theta
angle. The resulting (tree-level) effective action for the open string is not
Yang's but Leznov's cubic action for self-dual Yang-Mills in a light-cone
gauge. In the closed case, Plebanski's action for self-dual gravity gets
modified analogously. In contrast to the N=1 NSR string, picture-changing is
not locally invertible, but produces a semi-infinite tower of massless physical
states with ever-increasing spin, perhaps related to harmonic superspace. A
truncation yields the two-field action of Chalmers and Siegel.
| [
{
"created": "Wed, 9 Apr 1997 17:02:57 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lechtenfeld",
"Olaf",
""
],
[
"Siegel",
"Warren",
""
]
] | When the gauge instantons on the N=2 string worldsheet are properly included in the sum over topologies, the breaking of SO(2,2) Lorentz symmetry in R^{2,2} is parametrized by a spacetime twistor containing the string coupling and theta angle. The resulting (tree-level) effective action for the open string is not Yang's but Leznov's cubic action for self-dual Yang-Mills in a light-cone gauge. In the closed case, Plebanski's action for self-dual gravity gets modified analogously. In contrast to the N=1 NSR string, picture-changing is not locally invertible, but produces a semi-infinite tower of massless physical states with ever-increasing spin, perhaps related to harmonic superspace. A truncation yields the two-field action of Chalmers and Siegel. |
hep-th/9708001 | Machiko Hatsuda | Machiko Hatsuda and Kiyoshi Kamimura | Covariant Quantization of The Super-D-string | 19 pages, Latex; a paragraph added in section 5, to appear in
Nucl.Phys.B, email hatuda@ipu.ac.jp, kamimura@ph.sci.toho-u.ac.jp | Nucl.Phys. B520 (1998) 493-512 | 10.1016/S0550-3213(98)00171-0 | null | hep-th | null | We present the covariant BRST quantization of the super-D-string. The
non-vanishing supersymmetric U(1) field strength ${\cal F}$ is essential for
the covariant quantization of the super-D-string as well as for its static
picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa
symmetric) systems including the super-D-string with ${\cal F}\ne 0$ and the
Green-Schwarz superstring with ${\cal F}= 0$. We suggest that $E^1$ (canonical
conjugate of U(1) gauge field) plays a role of the order parameter in the
Green-Schwarz formalism: the super-D-string exists for $E^1 \ne 0$ while the
fundamental Green-Schwarz superstring exists only for $E^1 =0$.
| [
{
"created": "Fri, 1 Aug 1997 03:23:29 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Mar 1998 07:42:16 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Hatsuda",
"Machiko",
""
],
[
"Kamimura",
"Kiyoshi",
""
]
] | We present the covariant BRST quantization of the super-D-string. The non-vanishing supersymmetric U(1) field strength ${\cal F}$ is essential for the covariant quantization of the super-D-string as well as for its static picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa symmetric) systems including the super-D-string with ${\cal F}\ne 0$ and the Green-Schwarz superstring with ${\cal F}= 0$. We suggest that $E^1$ (canonical conjugate of U(1) gauge field) plays a role of the order parameter in the Green-Schwarz formalism: the super-D-string exists for $E^1 \ne 0$ while the fundamental Green-Schwarz superstring exists only for $E^1 =0$. |
0806.0110 | Pavel Kovtun | Pavel Kovtun and Adam Ritz | Universal conductivity and central charges | 10 pages; v2: reference added, to appear in Phys. Rev. D | Phys.Rev.D78:066009,2008 | 10.1103/PhysRevD.78.066009 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a class of critical models in d>1+1 dimensions whose electrical
conductivity and charge susceptibility are fixed by the central charge in a
universal manner. We comment on possible bounds on conductivity, as suggested
by holographic duality.
| [
{
"created": "Sat, 31 May 2008 21:56:55 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2008 01:25:35 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Kovtun",
"Pavel",
""
],
[
"Ritz",
"Adam",
""
]
] | We discuss a class of critical models in d>1+1 dimensions whose electrical conductivity and charge susceptibility are fixed by the central charge in a universal manner. We comment on possible bounds on conductivity, as suggested by holographic duality. |
hep-th/9410173 | null | R.P.Malik | On $q$-Deformed Spinning Relativistic Particle | 12 pages, Preprint JINR E2-94-410, LaTeX file | Phys. Lett. B345 (1995) 131-138 | 10.1016/0370-2693(94)01588-4 | null | hep-th | null | A $q$-deformed free spinning relativistic particle is discussed in the
framework of the Lagrangian formalism. Three equivalent Lagrangians are
obtained for this system which are endowed with $q$-deformed local (super)gauge
symmetries and reparametrization invariance. It is demonstrated that these
symmetries are on-shell equivalent only for $ q = \pm1 $ under particular
identification of the transformation parameters. The same condition ($ q=\pm1
$) emerges due to the requirement that the $q$-commutator of two supersymmetric
gauge transformations should generate a reparametrization plus a supersymmetric
gauge transformation. For a specific gauge choice, the solutions for equations
of motion respect $GL_{\surd q}(1|1)$ and $GL_{q}(2)$ invariances for any
arbitrary value of the evolution parameter characterizing the quantum super
world-line.
| [
{
"created": "Sun, 23 Oct 1994 16:03:04 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Malik",
"R. P.",
""
]
] | A $q$-deformed free spinning relativistic particle is discussed in the framework of the Lagrangian formalism. Three equivalent Lagrangians are obtained for this system which are endowed with $q$-deformed local (super)gauge symmetries and reparametrization invariance. It is demonstrated that these symmetries are on-shell equivalent only for $ q = \pm1 $ under particular identification of the transformation parameters. The same condition ($ q=\pm1 $) emerges due to the requirement that the $q$-commutator of two supersymmetric gauge transformations should generate a reparametrization plus a supersymmetric gauge transformation. For a specific gauge choice, the solutions for equations of motion respect $GL_{\surd q}(1|1)$ and $GL_{q}(2)$ invariances for any arbitrary value of the evolution parameter characterizing the quantum super world-line. |
1104.2610 | Martijn Wijnholt | Ron Donagi, Martijn Wijnholt | Gluing Branes, I | V2: 55p, 1 fig, LaTeX. Published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider several aspects of holomorphic brane configurations. We recently
showed that an important part of the defining data of such a configuration is
the gluing morphism, which specifies how the constituents of a configuration
are glued together, but is usually assumed to be vanishing. Here we explain the
rules for computing spectra and interactions for configurations with
non-vanishing gluing VEVs. We further give a detailed discussion of the D-terms
for Higgs bundles, spectral covers and ALE fibrations. We highlight a stability
criterion that applies to degenerate configurations of the spectral data, and
address an apparent discrepancy between the field theory and ALE descriptions.
This allows us to show that one gets walls of marginal stability in F-theory
even though they are absent in the 11d supergravity description. We also
propose a numerical approach for approximating the hermitian-Einstein metric of
the Higgs bundle using balanced metrics.
| [
{
"created": "Wed, 13 Apr 2011 20:18:46 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Dec 2013 22:56:26 GMT",
"version": "v2"
}
] | 2013-12-30 | [
[
"Donagi",
"Ron",
""
],
[
"Wijnholt",
"Martijn",
""
]
] | We consider several aspects of holomorphic brane configurations. We recently showed that an important part of the defining data of such a configuration is the gluing morphism, which specifies how the constituents of a configuration are glued together, but is usually assumed to be vanishing. Here we explain the rules for computing spectra and interactions for configurations with non-vanishing gluing VEVs. We further give a detailed discussion of the D-terms for Higgs bundles, spectral covers and ALE fibrations. We highlight a stability criterion that applies to degenerate configurations of the spectral data, and address an apparent discrepancy between the field theory and ALE descriptions. This allows us to show that one gets walls of marginal stability in F-theory even though they are absent in the 11d supergravity description. We also propose a numerical approach for approximating the hermitian-Einstein metric of the Higgs bundle using balanced metrics. |
1008.0736 | Guo-Zhu Liu | Jing Wang, Jing-Rong Wang, Wei Li, Guo-Zhu Liu | Confinement induced by fermion damping in three-dimensional QED | 4 pages, no figure | Phys. Rev. D 82, 067701 (2010) | 10.1103/PhysRevD.82.067701 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three-dimensional non-compact QED is known to exhibit weak confinement
when fermions acquire a finite mass via the mechanism of dynamical chiral
symmetry breaking. In this paper, we study the effect of fermion damping caused
by elastic scattering on the classical potential between fermions. By
calculating the vacuum polarization function that incorporates the fermion
damping effect, we show that fermion damping can induce a weak confinement even
when the fermions are massless and the chiral symmetry is not broken.
| [
{
"created": "Wed, 4 Aug 2010 10:14:45 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 2010 15:25:37 GMT",
"version": "v2"
}
] | 2015-11-23 | [
[
"Wang",
"Jing",
""
],
[
"Wang",
"Jing-Rong",
""
],
[
"Li",
"Wei",
""
],
[
"Liu",
"Guo-Zhu",
""
]
] | The three-dimensional non-compact QED is known to exhibit weak confinement when fermions acquire a finite mass via the mechanism of dynamical chiral symmetry breaking. In this paper, we study the effect of fermion damping caused by elastic scattering on the classical potential between fermions. By calculating the vacuum polarization function that incorporates the fermion damping effect, we show that fermion damping can induce a weak confinement even when the fermions are massless and the chiral symmetry is not broken. |
2005.04950 | Osamu Fukushima | Osamu Fukushima, Jun-ichi Sakamoto, and Kentaroh Yoshida | Yang-Baxter deformations of the AdS$_5\times$S$^5$ supercoset sigma
model from 4D Chern-Simons theory | 26 pages, v2: title changed, further clarifications added | null | 10.1007/JHEP09(2020)100 | KUNS-2817 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present homogeneous Yang-Baxter deformations of the AdS$_5\times$S$^5$
supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We
first generalize the procedure for the 2D principal chiral model developed by
Delduc et al [arXiv:1909.13824] so as to reproduce the 2D symmetric coset sigma
model, and specify boundary conditions governing homogeneous Yang-Baxter
deformations. Then the conditions are applicable for the AdS$_5\times$S$^5$
supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter
deformation is also discussed.
| [
{
"created": "Mon, 11 May 2020 09:23:11 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2020 09:35:53 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Fukushima",
"Osamu",
""
],
[
"Sakamoto",
"Jun-ichi",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We present homogeneous Yang-Baxter deformations of the AdS$_5\times$S$^5$ supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedure for the 2D principal chiral model developed by Delduc et al [arXiv:1909.13824] so as to reproduce the 2D symmetric coset sigma model, and specify boundary conditions governing homogeneous Yang-Baxter deformations. Then the conditions are applicable for the AdS$_5\times$S$^5$ supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter deformation is also discussed. |
1101.5331 | Fredrik Ohlsson | M{\aa}ns Henningson, Fredrik Ohlsson | BPS partition functions in N = 4 Yang-Mills theory on T^4 | 23 pages, v2 Minor corrections | JHEP 1103:145,2011 | 10.1007/JHEP03(2011)145 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider N = 4 Yang-Mills theory on a flat four-torus with the R-symmetry
current coupled to a flat background connection. The partition function depends
on the coupling constant of the theory, but when it is expanded in a power
series in the R-symmetry connection around the loci at which one of the
supersymmetries is unbroken, the constant and linear terms are in fact
independent of the coupling constant and can be computed at weak coupling for
all non-trivial 't Hooft fluxes. The case of a trivial 't Hooft flux is
difficult because of infrared problems, but the corresponding terms in the
partition function are uniquely determined by S-duality.
| [
{
"created": "Thu, 27 Jan 2011 16:29:05 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2011 15:20:54 GMT",
"version": "v2"
}
] | 2011-04-05 | [
[
"Henningson",
"Måns",
""
],
[
"Ohlsson",
"Fredrik",
""
]
] | We consider N = 4 Yang-Mills theory on a flat four-torus with the R-symmetry current coupled to a flat background connection. The partition function depends on the coupling constant of the theory, but when it is expanded in a power series in the R-symmetry connection around the loci at which one of the supersymmetries is unbroken, the constant and linear terms are in fact independent of the coupling constant and can be computed at weak coupling for all non-trivial 't Hooft fluxes. The case of a trivial 't Hooft flux is difficult because of infrared problems, but the corresponding terms in the partition function are uniquely determined by S-duality. |
1112.3359 | Georgi Dvali | Gia Dvali and Cesar Gomez | Black Hole's Quantum N-Portrait | 37 pages, Latex | null | null | null | hep-th cond-mat.supr-con gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish a quantum measure of classicality in the form of the occupation
number, $N$, of gravitons in a gravitational field. This allows us to view
classical background geometries as quantum Bose-condensates with large
occupation numbers of soft gravitons. We show that among all possible sources
of a given physical length, $N$ is maximized by the black hole and coincides
with its entropy. The emerging quantum mechanical picture of a black hole is
surprisingly simple and fully parameterized by $N$. The black hole is a leaky
bound-state in form of a cold Bose-condensate of $N$ weakly-interacting soft
gravitons of wave-length $ \sqrt{N}$ times the Planck length and of quantum
interaction strength 1/N. Such a bound-state exists for an arbitrary $N$. This
picture provides a simple quantum description of the phenomena of Hawking
radiation, Bekenstein entropy as well as of non-Wilsonian UV-self-completion of
Einstein gravity. We show that Hawking radiation is nothing but a quantum
depletion of the graviton Bose-condensate, which despite the zero temperature
of the condensate produces a thermal spectrum of temperature $T \, = \,
1/\sqrt{N}$. The Bekenstein entropy originates from the exponentially growing
with $N$ number of quantum states. Finally, our quantum picture allows to
understand classicalization of deep-UV gravitational scattering as $2
\rightarrow N$ transition. We point out some fundamental similarities between
the black holes and solitons, such as a t'Hooft-Polyakov monopole. Both objects
represent Bose-condensates of $N$ soft bosons of wavelength $\sqrt{N}$ and
interaction strength 1/N. In short, the semi-classical black hole physics is
1/N-coupled large-$N$ quantum physics.
| [
{
"created": "Wed, 14 Dec 2011 21:10:39 GMT",
"version": "v1"
}
] | 2012-03-19 | [
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] | We establish a quantum measure of classicality in the form of the occupation number, $N$, of gravitons in a gravitational field. This allows us to view classical background geometries as quantum Bose-condensates with large occupation numbers of soft gravitons. We show that among all possible sources of a given physical length, $N$ is maximized by the black hole and coincides with its entropy. The emerging quantum mechanical picture of a black hole is surprisingly simple and fully parameterized by $N$. The black hole is a leaky bound-state in form of a cold Bose-condensate of $N$ weakly-interacting soft gravitons of wave-length $ \sqrt{N}$ times the Planck length and of quantum interaction strength 1/N. Such a bound-state exists for an arbitrary $N$. This picture provides a simple quantum description of the phenomena of Hawking radiation, Bekenstein entropy as well as of non-Wilsonian UV-self-completion of Einstein gravity. We show that Hawking radiation is nothing but a quantum depletion of the graviton Bose-condensate, which despite the zero temperature of the condensate produces a thermal spectrum of temperature $T \, = \, 1/\sqrt{N}$. The Bekenstein entropy originates from the exponentially growing with $N$ number of quantum states. Finally, our quantum picture allows to understand classicalization of deep-UV gravitational scattering as $2 \rightarrow N$ transition. We point out some fundamental similarities between the black holes and solitons, such as a t'Hooft-Polyakov monopole. Both objects represent Bose-condensates of $N$ soft bosons of wavelength $\sqrt{N}$ and interaction strength 1/N. In short, the semi-classical black hole physics is 1/N-coupled large-$N$ quantum physics. |
hep-th/9412083 | Fis. Teorica. Valladolid. | A. Ballesteros, N.A. Gromov, F.J. Herranz, M.A. del Olmo and M.
Santander | Lie bialgebra contractions and quantum deformations of quasi-orthogonal
algebras | 26 pages LATEX | J.Math.Phys. 36 (1995) 5916-5937 | 10.1063/1.531368 | UVA/011194 | hep-th math.QA q-alg | null | Lie bialgebra contractions are introduced and classified. A non-degenerate
coboundary bialgebra structure is implemented into all pseudo-orthogonal
algebras $so(p,q)$ starting from the one corresponding to $so(N+1)$. It allows
to introduce a set of Lie bialgebra contractions which leads to Lie bialgebras
of quasi-orthogonal algebras. This construction is explicitly given for the
cases $N=2,3,4$. All Lie bialgebra contractions studied in this paper define
Hopf algebra contractions for the Drinfel'd-Jimbo deformations $U_z so(p,q)$.
They are explicitly used to generate new non-semisimple quantum algebras as it
is the case for the Euclidean, Poincar\'e and Galilean algebras.
| [
{
"created": "Fri, 9 Dec 1994 18:36:59 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Dec 1994 08:56:27 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 1994 18:03:40 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Ballesteros",
"A.",
""
],
[
"Gromov",
"N. A.",
""
],
[
"Herranz",
"F. J.",
""
],
[
"del Olmo",
"M. A.",
""
],
[
"Santander",
"M.",
""
]
] | Lie bialgebra contractions are introduced and classified. A non-degenerate coboundary bialgebra structure is implemented into all pseudo-orthogonal algebras $so(p,q)$ starting from the one corresponding to $so(N+1)$. It allows to introduce a set of Lie bialgebra contractions which leads to Lie bialgebras of quasi-orthogonal algebras. This construction is explicitly given for the cases $N=2,3,4$. All Lie bialgebra contractions studied in this paper define Hopf algebra contractions for the Drinfel'd-Jimbo deformations $U_z so(p,q)$. They are explicitly used to generate new non-semisimple quantum algebras as it is the case for the Euclidean, Poincar\'e and Galilean algebras. |
hep-th/0405027 | Claude Bervillier | C. Bervillier | Exact renormalization group equation for the Lifshitz critical point | Final version | Phys.Lett. A331 (2004) 110-116 | 10.1016/j.physleta.2004.07.069 | T04/059 | hep-th cond-mat.other | null | An exact renormalization equation (ERGE) accounting for an anisotropic
scaling is derived. The critical and tricritical Lifshitz points are then
studied at leading order of the derivative expansion which is shown to involve
two differential equations. The resulting estimates of the Lifshitz critical
exponents compare well with the $O(\epsilon ^{2}) $ calculations. In the case
of the Lifshitz tricritical point, it is shown that a marginally relevant
coupling defies the perturbative approach since it actually makes the fixed
point referred to in the previous perturbative calculations $O(\epsilon) $
finally unstable.
| [
{
"created": "Tue, 4 May 2004 08:56:53 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2004 14:48:01 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Sep 2004 14:13:06 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Bervillier",
"C.",
""
]
] | An exact renormalization equation (ERGE) accounting for an anisotropic scaling is derived. The critical and tricritical Lifshitz points are then studied at leading order of the derivative expansion which is shown to involve two differential equations. The resulting estimates of the Lifshitz critical exponents compare well with the $O(\epsilon ^{2}) $ calculations. In the case of the Lifshitz tricritical point, it is shown that a marginally relevant coupling defies the perturbative approach since it actually makes the fixed point referred to in the previous perturbative calculations $O(\epsilon) $ finally unstable. |
hep-th/9703217 | Akikazu Hashimoto | Akikazu Hashimoto and Washington Taylor IV | Fluctuation Spectra of Tilted and Intersecting D-branes from the
Born-Infeld Action | LaTeX, 28 pages, 7 eps figures. Uses psfig.sty, available from
http://xxx.lanl.gov/ftp/hep-th/papers/macros/psfig.sty Discussion of
symmetrized trace prescription in non-abelian Born-Infeld action clarified.
Comment regarding relation to relativistic D-brane scattering extended.
References added. More references added | Nucl.Phys.B503:193-219,1997 | 10.1016/S0550-3213(97)00399-4 | PUPT-1693 | hep-th | null | We consider the spectra of excitations around diagonal and intersecting
D-brane configurations on tori. These configurations are described by constant
curvature connections in a dual gauge theory description. The low-energy string
fluctuation spectrum is reproduced exactly by the gauge theory in the case of
vanishing field strength; however, this correspondence breaks down for fixed
nonzero field strength. We show that in many cases the full Born-Infeld action
correctly captures the low-energy spectrum in the case of non-vanishing field
strength. This gives a field theory description of the low-energy physics of
systems of diagonally wound branes and branes at angles as considered by
Berkooz, Douglas and Leigh. This description extends naturally to
non-supersymmetric configurations, where the tachyonic instability associated
with brane-anti-brane systems appears as an instability around a saddle point
solution of the corresponding Yang-Mills/Born-Infeld theory. In some cases, the
field theory description requires a non-abelian generalization of the
Born-Infeld action. We follow Tseytlin's recent proposal for formulating such
an action. In the case of intersecting branes, the non-abelian Born-Infeld
theory produces a transcendental relation which comes tantalizingly close to
reproducing the correct spectrum; however, a discrepancy remains which
indicates that a further clarification of the non-abelian Born-Infeld action
may be necessary.
| [
{
"created": "Sun, 30 Mar 1997 22:51:17 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 1997 05:08:50 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Apr 1997 20:17:23 GMT",
"version": "v3"
},
{
"created": "Fri, 30 May 1997 23:01:15 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Hashimoto",
"Akikazu",
""
],
[
"Taylor",
"Washington",
"IV"
]
] | We consider the spectra of excitations around diagonal and intersecting D-brane configurations on tori. These configurations are described by constant curvature connections in a dual gauge theory description. The low-energy string fluctuation spectrum is reproduced exactly by the gauge theory in the case of vanishing field strength; however, this correspondence breaks down for fixed nonzero field strength. We show that in many cases the full Born-Infeld action correctly captures the low-energy spectrum in the case of non-vanishing field strength. This gives a field theory description of the low-energy physics of systems of diagonally wound branes and branes at angles as considered by Berkooz, Douglas and Leigh. This description extends naturally to non-supersymmetric configurations, where the tachyonic instability associated with brane-anti-brane systems appears as an instability around a saddle point solution of the corresponding Yang-Mills/Born-Infeld theory. In some cases, the field theory description requires a non-abelian generalization of the Born-Infeld action. We follow Tseytlin's recent proposal for formulating such an action. In the case of intersecting branes, the non-abelian Born-Infeld theory produces a transcendental relation which comes tantalizingly close to reproducing the correct spectrum; however, a discrepancy remains which indicates that a further clarification of the non-abelian Born-Infeld action may be necessary. |
hep-th/9503013 | null | Marco Bochicchio | Two dimensional QCD and abelian bosonization | paper revised, several signs and coefficients corrected. A comment on
regularization dependence and several references added | Phys.Lett. B356 (1995) 337-340 | 10.1016/0370-2693(95)00770-L | Rome preprint 95/1089 | hep-th | null | A bosonized action, that reproduces the structure of the 't Hooft equation
for $QCD_2$ in the large-$N$ limit, up to regularization dependent terms, is
derived.
| [
{
"created": "Thu, 2 Mar 1995 19:38:41 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 1995 13:26:54 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Bochicchio",
"Marco",
""
]
] | A bosonized action, that reproduces the structure of the 't Hooft equation for $QCD_2$ in the large-$N$ limit, up to regularization dependent terms, is derived. |
1710.04156 | Charles Strickland-Constable | Andr\'e Coimbra, Charles Strickland-Constable | Supersymmetric AdS backgrounds and weak generalised holonomy | 19 pages | null | null | IPhT-T17/152, EMPG-17-17 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetric AdS$_D$ backgrounds of eleven-dimensional or type II
supergravity preserving $\mathcal{N}$ supersymmetries using generalised
geometry. We show that a large class correspond precisely to spaces admitting a
generalised $G_{D,\mathcal{N}}$ structure with a weak integrability condition,
which we call "weak generalised holonomy". This class contains all such
backgrounds with odd $D$, but for even $D$ we must impose a technical
assumption concerning the inner products of Killing spinors. It is known that
all compact smooth solutions are included, though our analysis is purely local.
We show that the Killing superalgebras of such backgrounds are isomorphic to
the standard $\mathcal{N}$-extended AdS$_D$ superalgebras, and give a geometric
proof of the existence of isometries of the internal spaces which realise the
AdS R-symmetry, as often assumed in explicit studies of such solutions.
| [
{
"created": "Wed, 11 Oct 2017 16:28:32 GMT",
"version": "v1"
}
] | 2017-10-12 | [
[
"Coimbra",
"André",
""
],
[
"Strickland-Constable",
"Charles",
""
]
] | We study supersymmetric AdS$_D$ backgrounds of eleven-dimensional or type II supergravity preserving $\mathcal{N}$ supersymmetries using generalised geometry. We show that a large class correspond precisely to spaces admitting a generalised $G_{D,\mathcal{N}}$ structure with a weak integrability condition, which we call "weak generalised holonomy". This class contains all such backgrounds with odd $D$, but for even $D$ we must impose a technical assumption concerning the inner products of Killing spinors. It is known that all compact smooth solutions are included, though our analysis is purely local. We show that the Killing superalgebras of such backgrounds are isomorphic to the standard $\mathcal{N}$-extended AdS$_D$ superalgebras, and give a geometric proof of the existence of isometries of the internal spaces which realise the AdS R-symmetry, as often assumed in explicit studies of such solutions. |
2206.02420 | Masato Arai | Masato Arai, Kurando Baba, Radu A. Ionas | Revisiting Atiyah-Hitchin manifold in the generalized Legendre transform | 30 pages, 3 figures. Typos corrected. References added. To appear in
PTEP | Prog Theor Exp Phys (2023) | 10.1093/ptep/ptad066 | YGHP-22-2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit construction of the Atiyah-Hitchin manifold in the generalized
Legendre transform approach. This is originally studied by Ivanov and Rocek and
is subsequently investigated more by Ionas, in the latter of which the explicit
forms of the K\"ahler potential and the K\"ahler metric are calculated. There
is a difference between the former and the latter. In the generalized Legendre
transform approach, a K\"ahler potential is constructed from the contour
integration of one function with holomorphic coordinates. The choice of the
contour in the latter is different from the former's one, whose difference may
yield a discrepancy in the K\"ahler potential and eventually in the K\"ahler
metric. We show that the former only gives the real K\"ahler potential, which
is consistent with its definition, while the latter yields the complex one. We
derive the K\"ahler potential and the metric for the Atiyah-Hitchin manifold in
terms of holomorphic coordinates for the contour considered by Ivanov and
Ro\v{c}ek for the first time.
| [
{
"created": "Mon, 6 Jun 2022 08:29:54 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2023 05:59:17 GMT",
"version": "v2"
},
{
"created": "Fri, 26 May 2023 02:44:10 GMT",
"version": "v3"
}
] | 2023-06-28 | [
[
"Arai",
"Masato",
""
],
[
"Baba",
"Kurando",
""
],
[
"Ionas",
"Radu A.",
""
]
] | We revisit construction of the Atiyah-Hitchin manifold in the generalized Legendre transform approach. This is originally studied by Ivanov and Rocek and is subsequently investigated more by Ionas, in the latter of which the explicit forms of the K\"ahler potential and the K\"ahler metric are calculated. There is a difference between the former and the latter. In the generalized Legendre transform approach, a K\"ahler potential is constructed from the contour integration of one function with holomorphic coordinates. The choice of the contour in the latter is different from the former's one, whose difference may yield a discrepancy in the K\"ahler potential and eventually in the K\"ahler metric. We show that the former only gives the real K\"ahler potential, which is consistent with its definition, while the latter yields the complex one. We derive the K\"ahler potential and the metric for the Atiyah-Hitchin manifold in terms of holomorphic coordinates for the contour considered by Ivanov and Ro\v{c}ek for the first time. |
hep-th/0607190 | Yuji Satoh | Kazuhiro Sakai, Yuji Satoh | A large spin limit of strings on AdS_5 x S^5 in a non-compact sector | 11 pages, 1 figure; (v2) a reference added; (v3) comments added,
typos corrected | Phys.Lett.B645:293-298,2007 | 10.1016/j.physletb.2006.12.035 | UTHEP-522 | hep-th | null | We study the scaling law of the energy spectrum of classical strings on AdS_5
x S^5, in particular, in the SL(2) sector for large S (AdS spin) and fixed J
(S^1 \subset S^5 spin). For any finite gap solution, we identify the limit in
which the energy exhibits the logarithmic scaling in S, characteristic to the
anomalous dimension of low-twist gauge theory operators. Our result therefore
shows that the log S scaling, first observed by Gubser, Klebanov and Polyakov
for the folded string, is universal also on the string side, suggesting another
interesting window to explore the AdS/CFT correspondence as in the
BMN/Frolov-Tseytlin limit.
| [
{
"created": "Tue, 25 Jul 2006 09:52:36 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2006 13:54:17 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Dec 2006 11:49:31 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Sakai",
"Kazuhiro",
""
],
[
"Satoh",
"Yuji",
""
]
] | We study the scaling law of the energy spectrum of classical strings on AdS_5 x S^5, in particular, in the SL(2) sector for large S (AdS spin) and fixed J (S^1 \subset S^5 spin). For any finite gap solution, we identify the limit in which the energy exhibits the logarithmic scaling in S, characteristic to the anomalous dimension of low-twist gauge theory operators. Our result therefore shows that the log S scaling, first observed by Gubser, Klebanov and Polyakov for the folded string, is universal also on the string side, suggesting another interesting window to explore the AdS/CFT correspondence as in the BMN/Frolov-Tseytlin limit. |
2204.01249 | Hiroshi Kunitomo | Hiroshi Kunitomo | Open-closed homotopy algebra in superstring field theory | 28 pages, v2: references added, v3: an appendix is added, v4: some
typos corrected | null | null | YITP-22-32 | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We construct open-closed superstring interactions based on the open-closed
homotopy algebra structure. It provides a classical open superstring field
theory on general closed-superstring-field backgrounds described by classical
solutions of the nonlinear equation of motion of the closed superstring field
theory. We also give the corresponding WZW-like action through the map
connecting the homotopy-based and WZW-like formulations.
| [
{
"created": "Mon, 4 Apr 2022 05:29:53 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2022 02:58:41 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jul 2022 06:37:36 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Aug 2022 04:26:56 GMT",
"version": "v4"
}
] | 2022-08-29 | [
[
"Kunitomo",
"Hiroshi",
""
]
] | We construct open-closed superstring interactions based on the open-closed homotopy algebra structure. It provides a classical open superstring field theory on general closed-superstring-field backgrounds described by classical solutions of the nonlinear equation of motion of the closed superstring field theory. We also give the corresponding WZW-like action through the map connecting the homotopy-based and WZW-like formulations. |
hep-th/0310262 | Christopher Herzog | Christopher P. Herzog | Exceptional Collections and del Pezzo Gauge Theories | 26 pages, 1 figure; v2 footnote 2 amended; v3 ref added | JHEP 0404 (2004) 069 | 10.1088/1126-6708/2004/04/069 | null | hep-th | null | Stacks of D3-branes placed at the tip of a cone over a del Pezzo surface
provide a way of geometrically engineering a small but rich class of
gauge/gravity dualities. We develop tools for understanding the resulting
quiver gauge theories using exceptional collections. We prove two important
results for a general quiver gauge theory: 1) we show the ordering of the nodes
can be determined up to cyclic permutation and 2) we derive a simple formula
for the ranks of the gauge groups (at the conformal point) in terms of the
numbers of bifundamentals. We also provide a detailed analysis of four node
quivers, examining when precisely mutations of the exceptional collection are
related to Seiberg duality.
| [
{
"created": "Tue, 28 Oct 2003 19:43:08 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 2003 18:27:30 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Feb 2004 19:01:02 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Herzog",
"Christopher P.",
""
]
] | Stacks of D3-branes placed at the tip of a cone over a del Pezzo surface provide a way of geometrically engineering a small but rich class of gauge/gravity dualities. We develop tools for understanding the resulting quiver gauge theories using exceptional collections. We prove two important results for a general quiver gauge theory: 1) we show the ordering of the nodes can be determined up to cyclic permutation and 2) we derive a simple formula for the ranks of the gauge groups (at the conformal point) in terms of the numbers of bifundamentals. We also provide a detailed analysis of four node quivers, examining when precisely mutations of the exceptional collection are related to Seiberg duality. |
hep-th/0410004 | Junji Suzuki | Junji Suzuki | The dilute A_L models and the Phi_{1,2} perturbation of unitary minimal
CFTs | 72 pages, 25 figures, typos corrected | J.Stat.Mech.0501:P01004,2005 | 10.1088/1742-5468/2005/01/P01004 | null | hep-th cond-mat.stat-mech | null | Motivated by recent studies by Dorey, Pocklington and Tateo for unitary
minimal models perturbed by phi_{1,2}, we examine the thermodynamics of one
dimensional quantum systems, whose counterparts in the 2D classical model are
the dilute A_L models in regime 2. The functional relations for arbitrary
values of L are established. Guided by numerical evidences, we obtain a set of
coupled integral equations from the established relations, which yields the
evaluation of the free energy at arbitrary temperature. In the scaling limit,
the integral equations coincide with the thermodynamic Bethe ansatz equations
(TBA) proposed in {DPT2}, thereby support their results. The new Fermionic
representations of the Virasoro characters are shortly remarked.
| [
{
"created": "Fri, 1 Oct 2004 05:07:16 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2004 07:16:26 GMT",
"version": "v2"
}
] | 2011-02-16 | [
[
"Suzuki",
"Junji",
""
]
] | Motivated by recent studies by Dorey, Pocklington and Tateo for unitary minimal models perturbed by phi_{1,2}, we examine the thermodynamics of one dimensional quantum systems, whose counterparts in the 2D classical model are the dilute A_L models in regime 2. The functional relations for arbitrary values of L are established. Guided by numerical evidences, we obtain a set of coupled integral equations from the established relations, which yields the evaluation of the free energy at arbitrary temperature. In the scaling limit, the integral equations coincide with the thermodynamic Bethe ansatz equations (TBA) proposed in {DPT2}, thereby support their results. The new Fermionic representations of the Virasoro characters are shortly remarked. |
1902.04180 | Justin Kaidi | Eric D'Hoker and Justin Kaidi | Modular graph functions and odd cuspidal functions -- Fourier and
Poincar\'e series | 88 pages (of which 32 pages are appendices); proof of convergence of
Poincare series; example calculation of Petersson inner product; and Lemma
7.5 on the integral of cuspidal functions added in revised version | null | 10.1007/JHEP04(2019)136 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Modular graph functions are $SL(2,{\mathbb Z})$-invariant functions
associated with Feynman graphs of a two-dimensional conformal field theory on a
torus of modulus $\tau$. For one-loop graphs they reduce to real analytic
Eisenstein series. We obtain the Fourier series, including the constant and
non-constant Fourier modes, of all two-loop modular graph functions, as well as
their Poincar\'e series with respect to $\Gamma_\infty \backslash
PSL(2,{\mathbb Z})$. The Fourier and Poincar\'e series provide the tools to
compute the Petersson inner product of two-loop modular graph functions using
Rankin-Selberg-Zagier methods. Modular graph functions which are odd under
$\tau \to - \bar \tau$ are cuspidal functions, with exponential decay near the
cusp, and exist starting at two loops. Holomorphic subgraph reduction and the
sieve algorithm, developed in earlier work, are used to give a lower bound on
the dimension of the space $\mathfrak{A}_w$ of odd two-loop modular graph
functions of weight $w$. For $w \leq 11$ the bound is saturated and we exhibit
a basis for $\mathfrak{A}_w$.
| [
{
"created": "Mon, 11 Feb 2019 23:32:30 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2019 14:29:21 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Feb 2021 20:19:48 GMT",
"version": "v3"
}
] | 2021-02-09 | [
[
"D'Hoker",
"Eric",
""
],
[
"Kaidi",
"Justin",
""
]
] | Modular graph functions are $SL(2,{\mathbb Z})$-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus $\tau$. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series, including the constant and non-constant Fourier modes, of all two-loop modular graph functions, as well as their Poincar\'e series with respect to $\Gamma_\infty \backslash PSL(2,{\mathbb Z})$. The Fourier and Poincar\'e series provide the tools to compute the Petersson inner product of two-loop modular graph functions using Rankin-Selberg-Zagier methods. Modular graph functions which are odd under $\tau \to - \bar \tau$ are cuspidal functions, with exponential decay near the cusp, and exist starting at two loops. Holomorphic subgraph reduction and the sieve algorithm, developed in earlier work, are used to give a lower bound on the dimension of the space $\mathfrak{A}_w$ of odd two-loop modular graph functions of weight $w$. For $w \leq 11$ the bound is saturated and we exhibit a basis for $\mathfrak{A}_w$. |
2307.02563 | Christian Saemann | Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli,
Christian Saemann, Martin Wolf | Double Copy from Tensor Products of Metric BV${}^{\color{gray}
\blacksquare}$-algebras | v2: 97 pages, references added, typos fixed, comments welcome | null | null | EMPG-23-14, DMUS-MP-23/11 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Field theories with kinematic Lie algebras, such as field theories featuring
colour-kinematics duality, possess an underlying algebraic structure known as
BV${}^{\color{gray} \blacksquare}$-algebra. If, additionally, matter fields are
present, this structure is supplemented by a module for the BV${}^{\color{gray}
\blacksquare}$-algebra. We explain this perspective, expanding on our previous
work and providing many additional mathematical details. We also show how the
tensor product of two metric BV${}^{\color{gray} \blacksquare}$-algebras yields
the action of a new syngamy field theory, a construction which comprises the
familiar double copy construction. As examples, we discuss various scalar field
theories, Chern-Simons theory, self-dual Yang-Mills theory, and the pure spinor
formulations of both M2-brane models and supersymmetric Yang-Mills theory. The
latter leads to a new cubic pure spinor action for ten-dimensional
supergravity. We also give a homotopy-algebraic perspective on
colour-flavour-stripping, obtain a new restricted tensor product over a wide
class of bialgebras, and we show that any field theory (even one without
colour-kinematics duality) comes with a kinematic $L_\infty$-algebra.
| [
{
"created": "Wed, 5 Jul 2023 18:04:08 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2023 10:32:43 GMT",
"version": "v2"
}
] | 2023-07-24 | [
[
"Borsten",
"Leron",
""
],
[
"Jurco",
"Branislav",
""
],
[
"Kim",
"Hyungrok",
""
],
[
"Macrelli",
"Tommaso",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] | Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics duality, possess an underlying algebraic structure known as BV${}^{\color{gray} \blacksquare}$-algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV${}^{\color{gray} \blacksquare}$-algebra. We explain this perspective, expanding on our previous work and providing many additional mathematical details. We also show how the tensor product of two metric BV${}^{\color{gray} \blacksquare}$-algebras yields the action of a new syngamy field theory, a construction which comprises the familiar double copy construction. As examples, we discuss various scalar field theories, Chern-Simons theory, self-dual Yang-Mills theory, and the pure spinor formulations of both M2-brane models and supersymmetric Yang-Mills theory. The latter leads to a new cubic pure spinor action for ten-dimensional supergravity. We also give a homotopy-algebraic perspective on colour-flavour-stripping, obtain a new restricted tensor product over a wide class of bialgebras, and we show that any field theory (even one without colour-kinematics duality) comes with a kinematic $L_\infty$-algebra. |
1305.3680 | Yu Nakayama | Yu Nakayama | (0,2) Chiral Liouville Field Theory | 11 pages | null | 10.1142/S0217732313501782 | CALT 68-2934 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As an existence proof of the (0,2) heterotic supercurrent supermultiplets in
(1+1) dimensional quantum field theories which are consistent with the warped
superconformal algebra, we construct the (0,2) chiral Liouville field theories.
The two distinct possibilities of the heterotic supercurrent supermultiplets
are both realized.
| [
{
"created": "Thu, 16 May 2013 04:37:25 GMT",
"version": "v1"
}
] | 2013-11-28 | [
[
"Nakayama",
"Yu",
""
]
] | As an existence proof of the (0,2) heterotic supercurrent supermultiplets in (1+1) dimensional quantum field theories which are consistent with the warped superconformal algebra, we construct the (0,2) chiral Liouville field theories. The two distinct possibilities of the heterotic supercurrent supermultiplets are both realized. |
1012.2760 | Jorge Russo | J.G. Russo and A.A. Tseytlin | Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5 | 17 pages | JHEP 1102:029,2011 | 10.1007/JHEP02(2011)029 | ICCUB-10-199, Imperial-TP-AT-2010-04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | 3-point correlators in AdS_5xS^5 string theory in which two states are
"heavy" (have large quantum numbers) and the third is "light" (here chosen as
chiral primary scalar) can be computed semiclassically in terms of the "light"
vertex operator evaluated on the classical string solution sourced by the two
"heavy" operators. We observe that in the case when the "heavy" operators
represent BPS states there is an ambiguity in the computation depending on
whether the mass shell (or marginality) condition is imposed before or after
integration over the world sheet. We show that this ambiguity is resolved in a
universal way by defining the BPS correlator as a limit of the one with non-BPS
"heavy" states. We consider several examples with "heavy" states represented by
folded or circular spinning strings in AdS_5xS^5 that admit a point-like
BMN-type limit when one S^5 spin J is much larger than the others. Remarkably,
in all of these cases the large J expansion of the 3-point correlator has the
same structure as expected in perturbative (tree-level and one-loop) dual gauge
theory. We conjecture that, like the leading chiral primary correlator term,
the coefficients of the first few subleading terms are also protected, i.e.
should be the same at strong and weak coupling.
| [
{
"created": "Mon, 13 Dec 2010 15:29:06 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2010 13:35:28 GMT",
"version": "v2"
}
] | 2011-02-16 | [
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | 3-point correlators in AdS_5xS^5 string theory in which two states are "heavy" (have large quantum numbers) and the third is "light" (here chosen as chiral primary scalar) can be computed semiclassically in terms of the "light" vertex operator evaluated on the classical string solution sourced by the two "heavy" operators. We observe that in the case when the "heavy" operators represent BPS states there is an ambiguity in the computation depending on whether the mass shell (or marginality) condition is imposed before or after integration over the world sheet. We show that this ambiguity is resolved in a universal way by defining the BPS correlator as a limit of the one with non-BPS "heavy" states. We consider several examples with "heavy" states represented by folded or circular spinning strings in AdS_5xS^5 that admit a point-like BMN-type limit when one S^5 spin J is much larger than the others. Remarkably, in all of these cases the large J expansion of the 3-point correlator has the same structure as expected in perturbative (tree-level and one-loop) dual gauge theory. We conjecture that, like the leading chiral primary correlator term, the coefficients of the first few subleading terms are also protected, i.e. should be the same at strong and weak coupling. |
2312.15648 | Phongpichit Channuie | Ahmadfikri Talek (Prince Songkla U.), Narakorn Kaewkhao (Prince
Songkla U.), Watcharakorn Srikom (Suratthani Rajabhat U.), Phongpichit
Channuie (Walailak U.) | Noether Symmetry Approach for Non-minimally Coupled Scalar Field Models | v1: 12 pages, no figure | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Noether symmetry analysis permits a powerful approach for the investigation
of integrable models in gravitational theories. In this work, we consider a
framework of the non-minimally coupled scalar field to gravity in the Jordan
frame in view of the Noether gauge symmetry approach. We then study the
point-like Lagrangian for underlying theory based on the use of Noether gauge
symmetries. Subsequently, we compute a Hessian matrix and derive the
Euler-Lagrange equations associated with the the configuration spaces. Using
the Noether gauge symmetry methodology, we obtain a system of partial
differential equations and solve them for particular solutions. We find the
potential is dependent on the non-minimal coupling, $\xi$. With a small field
approximation $\xi \phi^{2}\ll 1$, however we obtain a power-law form of the
potential.
| [
{
"created": "Mon, 25 Dec 2023 08:24:29 GMT",
"version": "v1"
}
] | 2023-12-27 | [
[
"Talek",
"Ahmadfikri",
"",
"Prince Songkla U."
],
[
"Kaewkhao",
"Narakorn",
"",
"Prince\n Songkla U."
],
[
"Srikom",
"Watcharakorn",
"",
"Suratthani Rajabhat U."
],
[
"Channuie",
"Phongpichit",
"",
"Walailak U."
]
] | Noether symmetry analysis permits a powerful approach for the investigation of integrable models in gravitational theories. In this work, we consider a framework of the non-minimally coupled scalar field to gravity in the Jordan frame in view of the Noether gauge symmetry approach. We then study the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries. Subsequently, we compute a Hessian matrix and derive the Euler-Lagrange equations associated with the the configuration spaces. Using the Noether gauge symmetry methodology, we obtain a system of partial differential equations and solve them for particular solutions. We find the potential is dependent on the non-minimal coupling, $\xi$. With a small field approximation $\xi \phi^{2}\ll 1$, however we obtain a power-law form of the potential. |
1112.4485 | Timothy J. Hollowood | Ben Hoare, Timothy J. Hollowood and J. Luis Miramontes | q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic
Limit | 41 pages, latex | JHEP 1203:015,2012 | 10.1007/JHEP03(2012)015 | Imperial/TP/11/BH/03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A set of four factorizable non-relativistic S-matrices for a multiplet of
fundamental particles are defined based on the R-matrix of the quantum group
deformation of the centrally extended superalgebra su(2|2). The S-matrices are
a function of two independent couplings g and q=exp(i\pi/k). The main result is
to find the scalar factor, or dressing phase, which ensures that the unitarity
and crossing equations are satisfied. For generic (g,k), the S-matrices are
branched functions on a product of rapidity tori. In the limit k->infinity, one
of them is identified with the S-matrix describing the magnon excitations on
the string world sheet in AdS5 x S5, while another is the mirror S-matrix that
is needed for the TBA. In the g->infinity limit, the rapidity torus
degenerates, the branch points disappear and the S-matrices become meromorphic
functions, as required by relativistic S-matrix theory. However, it is only the
mirror S-matrix which satisfies the correct relativistic crossing equation. The
mirror S-matrix in the relativistic limit is then closely related to that of
the semi-symmetric space sine-Gordon theory obtained from the string theory by
the Pohlmeyer reduction, but has anti-symmetric rather than symmetric bound
states. The interpolating S-matrix realizes at the quantum level the fact that
at the classical level the two theories correspond to different limits of a
one-parameter family of symplectic structures of the same integrable system.
| [
{
"created": "Mon, 19 Dec 2011 21:00:25 GMT",
"version": "v1"
}
] | 2012-12-05 | [
[
"Hoare",
"Ben",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function of two independent couplings g and q=exp(i\pi/k). The main result is to find the scalar factor, or dressing phase, which ensures that the unitarity and crossing equations are satisfied. For generic (g,k), the S-matrices are branched functions on a product of rapidity tori. In the limit k->infinity, one of them is identified with the S-matrix describing the magnon excitations on the string world sheet in AdS5 x S5, while another is the mirror S-matrix that is needed for the TBA. In the g->infinity limit, the rapidity torus degenerates, the branch points disappear and the S-matrices become meromorphic functions, as required by relativistic S-matrix theory. However, it is only the mirror S-matrix which satisfies the correct relativistic crossing equation. The mirror S-matrix in the relativistic limit is then closely related to that of the semi-symmetric space sine-Gordon theory obtained from the string theory by the Pohlmeyer reduction, but has anti-symmetric rather than symmetric bound states. The interpolating S-matrix realizes at the quantum level the fact that at the classical level the two theories correspond to different limits of a one-parameter family of symplectic structures of the same integrable system. |
1601.02633 | Chan Y. Park | Pietro Longhi, Chan Y. Park | ADE Spectral Networks | 68 pages plus appendices; visit
http://het-math2.physics.rutgers.edu/loom/ to use 'loom,' a program that
generates spectral networks; v2: version published in JHEP plus minor
corrections | null | 10.1007/JHEP08(2016)087 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new perspective and a generalization of spectral networks for
4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ associated to Lie algebras
$\mathfrak{g} = \textrm{A}_n$, $\textrm{D}_n$, $\textrm{E}_{6}$, and
$\textrm{E}_{7}$. Spectral networks directly compute the BPS spectra of 2d
theories on surface defects coupled to the 4d theories. A Lie algebraic
interpretation of these spectra emerges naturally from our construction,
leading to a new description of 2d-4d wall-crossing phenomena. Our construction
also provides an efficient framework for the study of BPS spectra of the 4d
theories. In addition, we consider novel types of surface defects associated
with minuscule representations of $\mathfrak{g}$.
| [
{
"created": "Mon, 11 Jan 2016 21:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2016 17:15:37 GMT",
"version": "v2"
}
] | 2016-12-14 | [
[
"Longhi",
"Pietro",
""
],
[
"Park",
"Chan Y.",
""
]
] | We introduce a new perspective and a generalization of spectral networks for 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ associated to Lie algebras $\mathfrak{g} = \textrm{A}_n$, $\textrm{D}_n$, $\textrm{E}_{6}$, and $\textrm{E}_{7}$. Spectral networks directly compute the BPS spectra of 2d theories on surface defects coupled to the 4d theories. A Lie algebraic interpretation of these spectra emerges naturally from our construction, leading to a new description of 2d-4d wall-crossing phenomena. Our construction also provides an efficient framework for the study of BPS spectra of the 4d theories. In addition, we consider novel types of surface defects associated with minuscule representations of $\mathfrak{g}$. |
2005.07712 | Fabian Fischbach | Fabian Fischbach, Albrecht Klemm and Christoph Nega | Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the
$\mathbb{Z}_2$ Model | 67 pages, no figures. Revised version, published by JHEP | JHEP01(2021)157 | 10.1007/JHEP01(2021)157 | BONN-TH-2020-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by recent advances in Donaldson-Thomas theory, four-dimensional
$\mathcal{N}=4$ string-string duality is examined in a reduced rank theory on a
less studied BPS sector. In particular we identify candidate partition
functions of "untwisted" quarter-BPS dyons in the heterotic $\mathbb{Z}_2$ CHL
model by studying the associated chiral genus two partition function, based on
the M-theory lift of string webs argument by Dabholkar and Gaiotto. This yields
meromorphic Siegel modular forms for the Iwahori subgroup $B(2) \subset
\text{Sp}_4 (\mathbb{Z}) $ which generate BPS indices for dyons with untwisted
sector electric charge, in contrast to twisted sector dyons counted by a
multiplicative lift of twisted-twining elliptic genera known from Mathieu
moonshine. The new partition functions are shown to satisfy the expected
constraints coming from wall-crossing and S-duality symmetry as well as the
black hole entropy based on the Gauss-Bonnet term in the effective action. In
these aspects our analysis confirms and extends work of Banerjee, Sen and
Srivastava, which only addressed a subset of the untwisted sector dyons
considered here. Our results are also compared with recently conjectured
formulae of Bryan and Oberdieck for the partition functions of primitive DT
invariants of the CHL orbifold $X=( \text{K3} \times T^2 )/ \mathbb{Z}_2$, as
suggested by string duality with type IIA theory on $X$.
| [
{
"created": "Fri, 15 May 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2021 18:50:45 GMT",
"version": "v2"
}
] | 2021-01-26 | [
[
"Fischbach",
"Fabian",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Nega",
"Christoph",
""
]
] | Motivated by recent advances in Donaldson-Thomas theory, four-dimensional $\mathcal{N}=4$ string-string duality is examined in a reduced rank theory on a less studied BPS sector. In particular we identify candidate partition functions of "untwisted" quarter-BPS dyons in the heterotic $\mathbb{Z}_2$ CHL model by studying the associated chiral genus two partition function, based on the M-theory lift of string webs argument by Dabholkar and Gaiotto. This yields meromorphic Siegel modular forms for the Iwahori subgroup $B(2) \subset \text{Sp}_4 (\mathbb{Z}) $ which generate BPS indices for dyons with untwisted sector electric charge, in contrast to twisted sector dyons counted by a multiplicative lift of twisted-twining elliptic genera known from Mathieu moonshine. The new partition functions are shown to satisfy the expected constraints coming from wall-crossing and S-duality symmetry as well as the black hole entropy based on the Gauss-Bonnet term in the effective action. In these aspects our analysis confirms and extends work of Banerjee, Sen and Srivastava, which only addressed a subset of the untwisted sector dyons considered here. Our results are also compared with recently conjectured formulae of Bryan and Oberdieck for the partition functions of primitive DT invariants of the CHL orbifold $X=( \text{K3} \times T^2 )/ \mathbb{Z}_2$, as suggested by string duality with type IIA theory on $X$. |
2205.13437 | Vakhid Gani | Vakhid A. Gani, Anastasia Gorina, Ilya Perapechka, Yakov Shnir | Remarks on sine-Gordon kink--fermion system: localized modes and
scattering | 22 pages, 6 figures; v2: final/published version | Eur. Phys. J. C 82, 757 (2022) | 10.1140/epjc/s10052-022-10707-0 | null | hep-th nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study numerically the kink-fermion interactions in a 1+1 dimensional toy
model, which describes sine-Gordon kinks coupled to the massless Dirac fermions
with backreaction. We show that the spectrum of fermionic modes strongly
depends on the choice of the coupling, in particular, there are no localized
modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic
packet by the kink. We demonstrate that the outcome of the collision
dynamically depends on the phase of the incoming fermion packet, it results in
alternating regimes of positive and negative acceleration of the kink.
| [
{
"created": "Thu, 19 May 2022 19:46:02 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2022 21:05:25 GMT",
"version": "v2"
}
] | 2022-09-01 | [
[
"Gani",
"Vakhid A.",
""
],
[
"Gorina",
"Anastasia",
""
],
[
"Perapechka",
"Ilya",
""
],
[
"Shnir",
"Yakov",
""
]
] | We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there are no localized modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic packet by the kink. We demonstrate that the outcome of the collision dynamically depends on the phase of the incoming fermion packet, it results in alternating regimes of positive and negative acceleration of the kink. |
hep-th/9911077 | O. B. Zaslavskii | O.B.Zaslavskii (Department of Physics, Kharkov State University) | Two-dimensional dilaton gravity and spacetimes with finite curvature at
the horizon away from the Hawking temperature | 10 pages, REVTeX 3.0. Accepted for publication in Phys. Rev. D | Grav.Cosmol.Suppl. 8N2 (2002) 155-157 | 10.1103/PhysRevD.61.064002 | null | hep-th gr-qc | null | It is shown that static solutions with a finite curvature at the horizon may
exist in dilaton gravity at temperatures $T\neq T_{H}$ (including T=0) where
$T_{H} $is the Hawking one. Hawking radiation is absent and the state of a
system represents thermal excitation over the Boulware vacuum. The horizon
remains unattainable for a observer because of thermal divergences in the
stress-energy of quantum fields there. However, the curvature at the horizon is
finite, when measured from outside, since these divergences are compensated by
those in gradients of a dilaton field. Spacetimes under consideration are
geodesically incomplete and the coupling between dilaton and gravity diverges
at the horizon, so we have ''singularity without singularity''.
| [
{
"created": "Thu, 11 Nov 1999 08:19:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zaslavskii",
"O. B.",
"",
"Department of Physics, Kharkov State University"
]
] | It is shown that static solutions with a finite curvature at the horizon may exist in dilaton gravity at temperatures $T\neq T_{H}$ (including T=0) where $T_{H} $is the Hawking one. Hawking radiation is absent and the state of a system represents thermal excitation over the Boulware vacuum. The horizon remains unattainable for a observer because of thermal divergences in the stress-energy of quantum fields there. However, the curvature at the horizon is finite, when measured from outside, since these divergences are compensated by those in gradients of a dilaton field. Spacetimes under consideration are geodesically incomplete and the coupling between dilaton and gravity diverges at the horizon, so we have ''singularity without singularity''. |
0802.3967 | Guido Cognola | Guido Cognola, Sergio Zerbini | Homogeneous cosmologies in generalized modified gravity | 13 pages, no figures | Int.J.Theor.Phys.47:3186-3200,2008 | 10.1007/s10773-008-9754-6 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dynamical system methods are used in the study of the stability of spatially
flat homogeneous cosmologies within a large class of generalized modified
gravity models in the presence of a relativistic matter-radiation fluid. The
present approach can be considered as the generalization of previous works in
which only $F(R)$ cases were considered. Models described by an arbitrary
function of all possible geometric invariants are investigated and general
equations giving all critical points are derived.
| [
{
"created": "Wed, 27 Feb 2008 08:08:48 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Cognola",
"Guido",
""
],
[
"Zerbini",
"Sergio",
""
]
] | Dynamical system methods are used in the study of the stability of spatially flat homogeneous cosmologies within a large class of generalized modified gravity models in the presence of a relativistic matter-radiation fluid. The present approach can be considered as the generalization of previous works in which only $F(R)$ cases were considered. Models described by an arbitrary function of all possible geometric invariants are investigated and general equations giving all critical points are derived. |
hep-th/9507107 | John T. Whelan | John T. Whelan | Generalized quantum mechanics of nonabelian gauge theories | 54 pages, revtex, two PostScript figures included as a (8kB)
uuencoded gzipped tar file. (Some corrections and format changes in
preparation for submission to journal; figures now included as
reasonably-sized (10-15kB) PostScript files) | Phys. Rev. D 53, 3118 (1996) | 10.1103/PhysRevD.53.3118 | UCSBTH-95-17 | hep-th gr-qc quant-ph | null | Hartle's generalized quantum mechanics in the sum-over-histories formalism is
used to describe a nonabelian gauge theory. Predictions are made for certain
alternatives, with particular attention given to coarse-grainings involving the
constraint. In this way, the theory is compared to other quantum-mechanical
descriptions of gauge theories in which the constraints are imposed by hand.
The vanishing of the momentum space constraint is seen to hold, both through a
simple formal argument and via a more careful description of the Lorentzian
path integral as defined on a spacetime lattice. (Incidentally, the treatment
of the time slicing in the path integral may be of general technical interest.)
The configuration space realization of the constraint is shown to behave in a
more complicated fashion. For some coarse grainings, we recover the known
result from an abelian theory, that coarse grainings by values of the
constraint either predict its vanishing or fail to decohere. However, sets of
alternatives defined in terms of a more complicated quantity in the abelian
case are exhibited where definite predictions can be made which disagree with
the assumption that the constraints vanish. Finally, the configuration space
sum-over-histories theory is exhibited in a manifestly Lorentz-invariant
formulation.
| [
{
"created": "Thu, 20 Jul 1995 13:11:01 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 1995 00:51:24 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Whelan",
"John T.",
""
]
] | Hartle's generalized quantum mechanics in the sum-over-histories formalism is used to describe a nonabelian gauge theory. Predictions are made for certain alternatives, with particular attention given to coarse-grainings involving the constraint. In this way, the theory is compared to other quantum-mechanical descriptions of gauge theories in which the constraints are imposed by hand. The vanishing of the momentum space constraint is seen to hold, both through a simple formal argument and via a more careful description of the Lorentzian path integral as defined on a spacetime lattice. (Incidentally, the treatment of the time slicing in the path integral may be of general technical interest.) The configuration space realization of the constraint is shown to behave in a more complicated fashion. For some coarse grainings, we recover the known result from an abelian theory, that coarse grainings by values of the constraint either predict its vanishing or fail to decohere. However, sets of alternatives defined in terms of a more complicated quantity in the abelian case are exhibited where definite predictions can be made which disagree with the assumption that the constraints vanish. Finally, the configuration space sum-over-histories theory is exhibited in a manifestly Lorentz-invariant formulation. |
1610.00934 | Sofian Teber | A. V. Kotikov and S. Teber | Critical behaviour of reduced QED$_{4,3}$ and dynamical fermion gap
generation in graphene | (v2) Accepted for publication in PRD. Short discussion and some
references added at the end of Sec V (per referee's comments). No change in
results. 7 pages. (v1) 7 pages | Phys. Rev. D 94, 114010 (2016) | 10.1103/PhysRevD.94.114010 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamical generation of a fermion gap in graphene is studied at the
infra-red Lorentz-invariant fixed point where the system is described by an
effective relativistic-like field theory: reduced QED$_{4,3}$ with $N$ four
component fermions ($N=2$ for graphene), where photons are $(3+1)$-dimensional
and mediate a fully retarded interaction among $(2+1)$-dimensional fermions. A
correspondence between reduced QED$_{4,3}$ and QED$_3$ allows us to derive an
exact gap equation for QED$_{4,3}$ up to next-to-leading order. Our results
show that a dynamical gap is generated for $\alpha > \alpha_c$ where $1.03 <
\alpha_c < 1.08$ in the case $N=2$ or for $N < N_c$ where $N_c$ is such that
$\alpha_c \to \infty$ and takes the values $3.24 < N_c < 3.36$. The striking
feature of these results is that they are in good agreement with values found
in models with instantaneous Coulomb interaction. At the fixed point: $\alpha =
1/137 \ll \alpha_c$, and the system is therefore in the semi-metallic regime in
accordance with experiments.
| [
{
"created": "Tue, 4 Oct 2016 11:31:06 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 16:17:59 GMT",
"version": "v2"
}
] | 2016-12-15 | [
[
"Kotikov",
"A. V.",
""
],
[
"Teber",
"S.",
""
]
] | The dynamical generation of a fermion gap in graphene is studied at the infra-red Lorentz-invariant fixed point where the system is described by an effective relativistic-like field theory: reduced QED$_{4,3}$ with $N$ four component fermions ($N=2$ for graphene), where photons are $(3+1)$-dimensional and mediate a fully retarded interaction among $(2+1)$-dimensional fermions. A correspondence between reduced QED$_{4,3}$ and QED$_3$ allows us to derive an exact gap equation for QED$_{4,3}$ up to next-to-leading order. Our results show that a dynamical gap is generated for $\alpha > \alpha_c$ where $1.03 < \alpha_c < 1.08$ in the case $N=2$ or for $N < N_c$ where $N_c$ is such that $\alpha_c \to \infty$ and takes the values $3.24 < N_c < 3.36$. The striking feature of these results is that they are in good agreement with values found in models with instantaneous Coulomb interaction. At the fixed point: $\alpha = 1/137 \ll \alpha_c$, and the system is therefore in the semi-metallic regime in accordance with experiments. |
2012.00051 | Tom\'a\v{s} Brauner | Tomas Brauner | Field theories with higher-group symmetry from composite currents | 1+39 pages, 2 tables; v2: added a discussion of charged objects of
composite symmetries and some extra references, version to appear in JHEP | JHEP 04 (2021) 045 | 10.1007/JHEP04(2021)045 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Higher-form symmetries are associated with transformations that only act on
extended objects, not on point particles. Typically, higher-form symmetries
live alongside ordinary, point-particle (0-form), symmetries and they can be
jointly described in terms of a direct product symmetry group. However, when
the actions of 0-form and higher-form symmetries become entangled, a more
general mathematical structure is required, related to higher categorical
groups. Systems with continuous higher-group symmetry were previously
constructed in a top-down manner, descending from quantum field theories with a
specific mixed 't Hooft anomaly. I show that higher-group symmetry also
naturally emerges from a bottom-up, low-energy perspective, when the physical
system at hand contains at least two different given, spontaneously broken
symmetries. This leads generically to a hierarchy of emergent higher-form
symmetries, corresponding to the Grassmann algebra of topological currents of
the theory, with an underlying higher-group structure. Examples of physical
systems featuring such higher-group symmetry include superfluid mixtures and
variants of axion electrodynamics.
| [
{
"created": "Mon, 30 Nov 2020 19:07:20 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2021 19:23:29 GMT",
"version": "v2"
}
] | 2021-04-08 | [
[
"Brauner",
"Tomas",
""
]
] | Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly described in terms of a direct product symmetry group. However, when the actions of 0-form and higher-form symmetries become entangled, a more general mathematical structure is required, related to higher categorical groups. Systems with continuous higher-group symmetry were previously constructed in a top-down manner, descending from quantum field theories with a specific mixed 't Hooft anomaly. I show that higher-group symmetry also naturally emerges from a bottom-up, low-energy perspective, when the physical system at hand contains at least two different given, spontaneously broken symmetries. This leads generically to a hierarchy of emergent higher-form symmetries, corresponding to the Grassmann algebra of topological currents of the theory, with an underlying higher-group structure. Examples of physical systems featuring such higher-group symmetry include superfluid mixtures and variants of axion electrodynamics. |
hep-th/0606116 | Marek Rogatko | Marek Rogatko | Classification of Static Charged Black Holes in Higher Dimensions | 9 pages, RevTex, to be published in Phys.Rev. D15 | Phys.Rev.D73:124027,2006 | 10.1103/PhysRevD.73.124027 | null | hep-th gr-qc | null | The uniqueness theorem for static charged higher dimensional black hole
containing an asymptotically flat spacelike hypersurface with compact interior
and with both degenerate and non-degenerate components of event horizon is
proposed. By studies of the near-horizon geometry of degenerate horizons one
was able to eliminate the previous restriction concerning the inequality
fulfilled by the charges of the adequate components of the aforementioned
horizons.
| [
{
"created": "Wed, 14 Jun 2006 07:46:58 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rogatko",
"Marek",
""
]
] | The uniqueness theorem for static charged higher dimensional black hole containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of event horizon is proposed. By studies of the near-horizon geometry of degenerate horizons one was able to eliminate the previous restriction concerning the inequality fulfilled by the charges of the adequate components of the aforementioned horizons. |
1002.4173 | Vladislav Kupriyanov | M.Gomes, V.G. Kupriyanov, A.J. da Silva | Noncommutativity due to spin | 11 pages, references addad | Phys.Rev.D81:085024,2010 | 10.1103/PhysRevD.81.085024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the Berezin-Marinov pseudoclassical formulation of spin particle we
propose a classical model of spin noncommutativity. In the nonrelativistic
case, the Poisson brackets between the coordinates are proportional to the spin
angular momentum. The quantization of the model leads to the noncommutativity
with mixed spacial and spin degrees of freedom. A modified Pauli equation,
describing a spin half particle in an external e.m. field is obtained. We show
that nonlocality caused by the spin noncommutativity depends on the spin of the
particle; for spin zero, nonlocality does not appear, for spin half, $\Delta
x\Delta y\geq\theta^{2}/2$, etc. In the relativistic case the noncommutative
Dirac equation was derived. For that we introduce a new star product. The
advantage of our model is that in spite of the presence of noncommutativity and
nonlocality, it is Lorentz invariant. Also, in the quasiclassical approximation
it gives noncommutativity with a nilpotent parameter.
| [
{
"created": "Mon, 22 Feb 2010 19:26:16 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Feb 2010 20:57:35 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Gomes",
"M.",
""
],
[
"Kupriyanov",
"V. G.",
""
],
[
"da Silva",
"A. J.",
""
]
] | Using the Berezin-Marinov pseudoclassical formulation of spin particle we propose a classical model of spin noncommutativity. In the nonrelativistic case, the Poisson brackets between the coordinates are proportional to the spin angular momentum. The quantization of the model leads to the noncommutativity with mixed spacial and spin degrees of freedom. A modified Pauli equation, describing a spin half particle in an external e.m. field is obtained. We show that nonlocality caused by the spin noncommutativity depends on the spin of the particle; for spin zero, nonlocality does not appear, for spin half, $\Delta x\Delta y\geq\theta^{2}/2$, etc. In the relativistic case the noncommutative Dirac equation was derived. For that we introduce a new star product. The advantage of our model is that in spite of the presence of noncommutativity and nonlocality, it is Lorentz invariant. Also, in the quasiclassical approximation it gives noncommutativity with a nilpotent parameter. |
0711.2470 | Pedro Vieira G. | Vladimir Kazakov, Pedro Vieira | From Characters to Quantum (Super)Spin Chains via Fusion | 11 figures, references added | JHEP 0810:050,2008 | 10.1088/1126-6708/2008/10/050 | null | hep-th math-ph math.MP math.QA nlin.SI | null | We give an elementary proof of the Bazhanov-Reshetikhin determinant formula
for rational transfer matrices of the twisted quantum super-spin chains
associated with the gl(K|M) algebra. This formula describes the most general
fusion of transfer matrices in symmetric representations into arbitrary finite
dimensional representations of the algebra and is at the heart of analytical
Bethe ansatz approach. Our technique represents a systematic generalization of
the usual Jacobi-Trudi formula for characters to its quantum analogue using
certain group derivatives.
| [
{
"created": "Thu, 15 Nov 2007 20:44:03 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2008 07:12:34 GMT",
"version": "v2"
}
] | 2009-10-12 | [
[
"Kazakov",
"Vladimir",
""
],
[
"Vieira",
"Pedro",
""
]
] | We give an elementary proof of the Bazhanov-Reshetikhin determinant formula for rational transfer matrices of the twisted quantum super-spin chains associated with the gl(K|M) algebra. This formula describes the most general fusion of transfer matrices in symmetric representations into arbitrary finite dimensional representations of the algebra and is at the heart of analytical Bethe ansatz approach. Our technique represents a systematic generalization of the usual Jacobi-Trudi formula for characters to its quantum analogue using certain group derivatives. |
hep-th/9405153 | Juergen Fuchs | J\"urgen Fuchs, Beatriz Gato-Rivera, Bert Schellekens, Christoph
Schweigert | Modular invariants and fusion rule automorphisms from Galois theory | 11 pages | Phys.Lett. B334 (1994) 113-120 | 10.1016/0370-2693(94)90598-3 | IMAFF 94/1, NIKHEF-H/94-18 | hep-th math.QA | null | We show that Galois theory of cyclotomic number fields provides a powerful
tool to construct systematically integer-valued matrices commuting with the
modular matrix S, as well as automorphisms of the fusion rules. Both of these
prescriptions allow the construction of modular invariants and offer new
insight in the structure of known exceptional invariants.
| [
{
"created": "Tue, 24 May 1994 16:24:45 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Fuchs",
"Jürgen",
""
],
[
"Gato-Rivera",
"Beatriz",
""
],
[
"Schellekens",
"Bert",
""
],
[
"Schweigert",
"Christoph",
""
]
] | We show that Galois theory of cyclotomic number fields provides a powerful tool to construct systematically integer-valued matrices commuting with the modular matrix S, as well as automorphisms of the fusion rules. Both of these prescriptions allow the construction of modular invariants and offer new insight in the structure of known exceptional invariants. |
hep-th/9601176 | Yan Vtorov-Karevsky | S.-H. Henry Tye and Yan Vtorov-Karevsky | Effective Action of Spontaneously Broken Gauge Theories | Expanded version, 32 pages, figures produced by LaTeX, plain LaTeX | Int.J.Mod.Phys. A13 (1998) 95-124 | 10.1142/S0217751X98000032 | CLNS 96/1396 | hep-th hep-ph | null | The effective action of a Higgs theory should be gauge-invariant. However,
the quantum and/or thermal contributions to the effective potential seem to be
gauge-dependent, posing a problem for its physical interpretation. In this
paper, we identify the source of the problem and argue that in a Higgs theory,
perturbative contributions should be evaluated with the Higgs fields in the
polar basis, not in the Cartesian basis. Formally, this observation can be made
from the derivation of the Higgs theorem, which we provide. We show explicitly
that, properly defined, the effective action for the Abelian Higgs theory is
gauge invariant to all orders in perturbation expansion when evaluated in the
covariant gauge in the polar basis. In particular, the effective potential is
gauge invariant. We also show the equivalence between the calculations in the
covariant gauge in the polar basis and the unitary gauge. These points are
illustrated explicitly with the one-loop calculations of the effective action.
With a field redefinition, we obtain the physical effective potential. The
SU(2) non-Abelian case is also discussed.
| [
{
"created": "Wed, 31 Jan 1996 22:12:13 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 1996 18:32:22 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Feb 1997 03:59:10 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Tye",
"S. -H. Henry",
""
],
[
"Vtorov-Karevsky",
"Yan",
""
]
] | The effective action of a Higgs theory should be gauge-invariant. However, the quantum and/or thermal contributions to the effective potential seem to be gauge-dependent, posing a problem for its physical interpretation. In this paper, we identify the source of the problem and argue that in a Higgs theory, perturbative contributions should be evaluated with the Higgs fields in the polar basis, not in the Cartesian basis. Formally, this observation can be made from the derivation of the Higgs theorem, which we provide. We show explicitly that, properly defined, the effective action for the Abelian Higgs theory is gauge invariant to all orders in perturbation expansion when evaluated in the covariant gauge in the polar basis. In particular, the effective potential is gauge invariant. We also show the equivalence between the calculations in the covariant gauge in the polar basis and the unitary gauge. These points are illustrated explicitly with the one-loop calculations of the effective action. With a field redefinition, we obtain the physical effective potential. The SU(2) non-Abelian case is also discussed. |
0905.0328 | Auttakit Chatrabhuti | A. Chatrabhuti, P. Patcharamaneepakorn and P. Wongjun | {\AE}ther Field, Casimir Energy and Stabilization of The Extra Dimension | 19 pages, 5 figures, added references and comments from referee | JHEP 0908:019,2009 | 10.1088/1126-6708/2009/08/019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In our five-dimensional cosmological model, we investigate the role of a
Lorentz violating vector "{\ae}ther" field on the moduli stabilization
mechanism. We consider the case of a space-like {\ae}ther field on a compact
circle with Maxwell-type kinetic term. The Casimir energy of certain
combinations of massless and massive bulk fields generates a stabilizing
potential for the radius of the compact direction while driving the accelerated
expansion in the non-compact directions. It is shown that the {\ae}ther field
can reduce the influence of the Casimir force and slow down the oscillation of
the radion field. This property proves crucial to the stability of the extra
dimension in the universe where non-relativistic matter is present. We
speculate that this scenario might reveal a hidden connection between the
dimensionality of spacetime and the spontaneous breaking of Lorentz symmetry.
| [
{
"created": "Mon, 4 May 2009 09:04:46 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2009 07:07:17 GMT",
"version": "v2"
}
] | 2010-04-28 | [
[
"Chatrabhuti",
"A.",
""
],
[
"Patcharamaneepakorn",
"P.",
""
],
[
"Wongjun",
"P.",
""
]
] | In our five-dimensional cosmological model, we investigate the role of a Lorentz violating vector "{\ae}ther" field on the moduli stabilization mechanism. We consider the case of a space-like {\ae}ther field on a compact circle with Maxwell-type kinetic term. The Casimir energy of certain combinations of massless and massive bulk fields generates a stabilizing potential for the radius of the compact direction while driving the accelerated expansion in the non-compact directions. It is shown that the {\ae}ther field can reduce the influence of the Casimir force and slow down the oscillation of the radion field. This property proves crucial to the stability of the extra dimension in the universe where non-relativistic matter is present. We speculate that this scenario might reveal a hidden connection between the dimensionality of spacetime and the spontaneous breaking of Lorentz symmetry. |
1912.09590 | Sen Guo | Sen.Guo and Yan.Han and Guo. Ping. Li | Joule-Thomson expansion of a specific black hole in different dimensions | 18 pages, 12 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have studied the Joule-Thomson expansion of a specific
black hole in f(R) gravity coupled with Yang-Mills field. Firstly,
4-dimensional equation of state and the Joule-Thomson coefficient were derived
from thermodynamic quantities, the critical temperature and the inversion
temperature were obtained, and the isenthalpic curves and the inversion curves
have plotted in the T-P plane. Then, by considering the higher dimensions black
hole, the inversion temperature was obtained, the isenthalpic curves and the
inversion curves also were plotted, and the effect of nonlinear term $\eta$ and
dimension for the Joule-Thomson expansion is demonstrated visually by depicting
different curves. Finally, we compared the ratio of the inversion temperature
to the critical temperatures with the van der Waals fluid and other black hole,
which the ratio is not equal to 0.5, and the dimension changes, the ratio also
changes.
| [
{
"created": "Thu, 19 Dec 2019 23:22:07 GMT",
"version": "v1"
}
] | 2019-12-23 | [
[
"Guo",
"Sen.",
""
],
[
"Han",
"Yan.",
""
],
[
"Li",
"Guo. Ping.",
""
]
] | In this paper, we have studied the Joule-Thomson expansion of a specific black hole in f(R) gravity coupled with Yang-Mills field. Firstly, 4-dimensional equation of state and the Joule-Thomson coefficient were derived from thermodynamic quantities, the critical temperature and the inversion temperature were obtained, and the isenthalpic curves and the inversion curves have plotted in the T-P plane. Then, by considering the higher dimensions black hole, the inversion temperature was obtained, the isenthalpic curves and the inversion curves also were plotted, and the effect of nonlinear term $\eta$ and dimension for the Joule-Thomson expansion is demonstrated visually by depicting different curves. Finally, we compared the ratio of the inversion temperature to the critical temperatures with the van der Waals fluid and other black hole, which the ratio is not equal to 0.5, and the dimension changes, the ratio also changes. |
1304.1162 | Saran Tunyasuvunakool | Pau Figueras and Saran Tunyasuvunakool | CFTs in rotating black hole backgrounds | 20 + 13 pages, 3 appendices. (Updated to match the content of
published version. One extra appendix added.) | Class. Quantum Grav. 30, 125015 (2013) | 10.1088/0264-9381/30/12/125015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use AdS/CFT to construct the gravitational dual of a 5D CFT in the
background of a non-extremal rotating black hole. Our boundary conditions are
such that the vacuum state of the dual CFT corresponds to the Unruh state. We
extract the expectation value of the stress tensor of the dual CFT using
holographic renormalisation and show that it is stationary and regular on both
the future and the past event horizons. The energy density of the CFT is found
to be negative everywhere in our domain and we argue that this can be
understood as a vacuum polarisation effect. We construct the solutions by
numerically solving the elliptic Einstein--DeTurck equation for stationary
Lorentzian spacetimes with Killing horizons.
| [
{
"created": "Wed, 3 Apr 2013 20:00:22 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2013 16:49:56 GMT",
"version": "v2"
}
] | 2013-06-20 | [
[
"Figueras",
"Pau",
""
],
[
"Tunyasuvunakool",
"Saran",
""
]
] | We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a non-extremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using holographic renormalisation and show that it is stationary and regular on both the future and the past event horizons. The energy density of the CFT is found to be negative everywhere in our domain and we argue that this can be understood as a vacuum polarisation effect. We construct the solutions by numerically solving the elliptic Einstein--DeTurck equation for stationary Lorentzian spacetimes with Killing horizons. |
0902.2761 | Sergei Alexandrov | Sergei Alexandrov | D-instantons and twistors: some exact results | 32 pages, 3 figures, uses JHEP3.cls; some changes in section 3.3.3;
corrected formula for the contact potential | J.Phys.A42:335402,2009 | 10.1088/1751-8113/42/33/335402 | LPTA/09-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present some results on instanton corrections to the hypermultiplet moduli
space in Calabi-Yau compactifications of Type II string theories. Previously,
using twistor methods, only a class of D-instantons (D2-instantons wrapping
A-cycles) was incorporated exactly and the rest was treated only linearly. We
go beyond the linear approximation and give a set of holomorphic functions
which, through a known procedure, capture the effect of D-instantons at all
orders. Moreover, we show that for a sector where all instanton charges have
vanishing symplectic invariant scalar product, the hypermultiplet metric can be
computed explicitly.
| [
{
"created": "Mon, 16 Feb 2009 19:04:53 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2009 13:46:35 GMT",
"version": "v2"
},
{
"created": "Thu, 9 May 2013 23:02:24 GMT",
"version": "v3"
}
] | 2013-05-13 | [
[
"Alexandrov",
"Sergei",
""
]
] | We present some results on instanton corrections to the hypermultiplet moduli space in Calabi-Yau compactifications of Type II string theories. Previously, using twistor methods, only a class of D-instantons (D2-instantons wrapping A-cycles) was incorporated exactly and the rest was treated only linearly. We go beyond the linear approximation and give a set of holomorphic functions which, through a known procedure, capture the effect of D-instantons at all orders. Moreover, we show that for a sector where all instanton charges have vanishing symplectic invariant scalar product, the hypermultiplet metric can be computed explicitly. |
0705.0646 | David Bailin | David Bailin and Alex Love | Almost the supersymmetric Standard Model from intersecting D6-branes on
the Z_6' orientifold | 8 pages, no figures | Phys.Lett.B651:324-328,2007; Erratum-ibid.B658:292-294,2008 | 10.1016/j.physletb.2007.06.042 10.1016/j.physletb.2007.11.014 | null | hep-th | null | Intersecting stacks of supersymmetric fractional branes on the Z_6'
orientifold may be used to construct the supersymmetric Standard Model. If a,b
are the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles,
then, in order to obtain {\em just} the chiral spectrum of the (supersymmetric)
Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it is
necessary that the number of intersections a \cap b of the stacks a and b, and
the number of intersections a \cap b' of a with the orientifold image b' of b
satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is
no matter in symmetric representations of the gauge group, and not too much
matter in antisymmetric representations, on either stack. Fractional branes
having all of these properties may be constructed on the Z_6' orientifold. We
construct a (four-stack) model with two further stacks, each with just a single
brane, which has precisely the matter spectrum of the supersymmetric Standard
Model, including a single pair of Higgs doublets. However, the gauge group is
SU(3)_{\rm colour} x SU(2)_L x U(1)_Y x U(1)_H. Only the Higgs doublets are
charged with respect to U(1)_H.
| [
{
"created": "Fri, 4 May 2007 15:35:40 GMT",
"version": "v1"
}
] | 2019-08-19 | [
[
"Bailin",
"David",
""
],
[
"Love",
"Alex",
""
]
] | Intersecting stacks of supersymmetric fractional branes on the Z_6' orientifold may be used to construct the supersymmetric Standard Model. If a,b are the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles, then, in order to obtain {\em just} the chiral spectrum of the (supersymmetric) Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a \cap b of the stacks a and b, and the number of intersections a \cap b' of a with the orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. Fractional branes having all of these properties may be constructed on the Z_6' orientifold. We construct a (four-stack) model with two further stacks, each with just a single brane, which has precisely the matter spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets. However, the gauge group is SU(3)_{\rm colour} x SU(2)_L x U(1)_Y x U(1)_H. Only the Higgs doublets are charged with respect to U(1)_H. |
1610.08472 | Vladimir Kirilin | S. Giombi, V. Gurucharan, V. Kirilin, S. Prakash, E. Skvortsov | On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models | 52 pages, 7 figures. v3: Minor corrections | null | 10.1007/JHEP01(2017)058 | PUPT-2512, LMU-ASC 52/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chern-Simons gauge theories coupled to massless fundamental scalars or
fermions define interesting non-supersymmetric 3d CFTs that possess approximate
higher-spin symmetries at large N. In this paper, we compute the scaling
dimensions of the higher-spin operators in these models, to leading order in
the 1/N expansion and exactly in the 't Hooft coupling. We obtain these results
in two independent ways: by using conformal symmetry and the classical
equations of motion to fix the structure of the current non-conservation, and
by a direct Feynman diagram calculation. The full dependence on the 't Hooft
coupling can be restored by using results that follow from the weakly broken
higher-spin symmetry. This analysis also allows us to obtain some explicit
results for the non-conserved, parity-breaking structures that appear in planar
three-point functions of the higher-spin operators. At large spin, we find that
the anomalous dimensions grow logarithmically with the spin, in agreement with
general expectations. This logarithmic behavior disappears in the strong
coupling limit, where the anomalous dimensions turn into those of the critical
O(N) or Gross-Neveu models, in agreement with the conjectured 3d bosonization
duality.
| [
{
"created": "Wed, 26 Oct 2016 19:23:25 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Nov 2016 13:54:36 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Sep 2017 19:02:40 GMT",
"version": "v3"
}
] | 2017-09-21 | [
[
"Giombi",
"S.",
""
],
[
"Gurucharan",
"V.",
""
],
[
"Kirilin",
"V.",
""
],
[
"Prakash",
"S.",
""
],
[
"Skvortsov",
"E.",
""
]
] | Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N. In this paper, we compute the scaling dimensions of the higher-spin operators in these models, to leading order in the 1/N expansion and exactly in the 't Hooft coupling. We obtain these results in two independent ways: by using conformal symmetry and the classical equations of motion to fix the structure of the current non-conservation, and by a direct Feynman diagram calculation. The full dependence on the 't Hooft coupling can be restored by using results that follow from the weakly broken higher-spin symmetry. This analysis also allows us to obtain some explicit results for the non-conserved, parity-breaking structures that appear in planar three-point functions of the higher-spin operators. At large spin, we find that the anomalous dimensions grow logarithmically with the spin, in agreement with general expectations. This logarithmic behavior disappears in the strong coupling limit, where the anomalous dimensions turn into those of the critical O(N) or Gross-Neveu models, in agreement with the conjectured 3d bosonization duality. |
1401.6094 | Leonardo Giuliano Trombetta | Diana L. L\'opez Nacir, Francisco D. Mazzitelli and Leonardo G.
Trombetta | Hartree approximation in curved spacetimes revisited II: The
semiclassical Einstein equations and de Sitter self-consistent solutions | 32 pages, 4 figures | Phys. Rev. D 89, 084013 (2014) | 10.1103/PhysRevD.89.084013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the semiclassical Einstein equations (SEE) in the presence of a
quantum scalar field with self-interaction $\lambda\phi^4$. Working in the
Hartree truncation of the two-particle irreducible (2PI) effective action, we
compute the vacuum expectation value of the energy-momentum tensor of the
scalar field, which act as a source of the SEE. We obtain the renormalized SEE
by implementing a consistent renormalization procedure. We apply our results to
find self-consistent de Sitter solutions to the SEE in situations with or
without spontaneous breaking of the $Z_2$-symmetry.
| [
{
"created": "Thu, 23 Jan 2014 18:38:17 GMT",
"version": "v1"
}
] | 2016-09-22 | [
[
"Nacir",
"Diana L. López",
""
],
[
"Mazzitelli",
"Francisco D.",
""
],
[
"Trombetta",
"Leonardo G.",
""
]
] | We consider the semiclassical Einstein equations (SEE) in the presence of a quantum scalar field with self-interaction $\lambda\phi^4$. Working in the Hartree truncation of the two-particle irreducible (2PI) effective action, we compute the vacuum expectation value of the energy-momentum tensor of the scalar field, which act as a source of the SEE. We obtain the renormalized SEE by implementing a consistent renormalization procedure. We apply our results to find self-consistent de Sitter solutions to the SEE in situations with or without spontaneous breaking of the $Z_2$-symmetry. |
2106.04460 | Alexander Popov | Alexander D. Popov | On Exact Solvability of $\mathcal N$=4 super Yang-Mills | 23 pages, v2: clarifying comments added, published version | null | 10.1016/j.nuclphysb.2022.115742 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the ambitwistor description of $\mathcal N$=4 supersymmetric
extension of U($N$) Yang-Mills theory on Minkowski space $\mathbb R^{3,1}$. It
is shown that solutions of super-Yang-Mills equations are encoded in real
analytic U($N$)-valued functions on a domain in superambitwistor space
${\mathcal L}_{\mathbb R}^{5|6}$ of real dimension $(5|6)$. This leads to a
procedure for generating solutions of super-Yang-Mills equations on $\mathbb
R^{3,1}$ via solving a Riemann-Hilbert-type factorization problem on
two-spheres in $\mathcal L_{\mathbb R}^{5|6}$.
| [
{
"created": "Tue, 8 Jun 2021 15:42:59 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2022 07:05:59 GMT",
"version": "v2"
}
] | 2022-04-13 | [
[
"Popov",
"Alexander D.",
""
]
] | We consider the ambitwistor description of $\mathcal N$=4 supersymmetric extension of U($N$) Yang-Mills theory on Minkowski space $\mathbb R^{3,1}$. It is shown that solutions of super-Yang-Mills equations are encoded in real analytic U($N$)-valued functions on a domain in superambitwistor space ${\mathcal L}_{\mathbb R}^{5|6}$ of real dimension $(5|6)$. This leads to a procedure for generating solutions of super-Yang-Mills equations on $\mathbb R^{3,1}$ via solving a Riemann-Hilbert-type factorization problem on two-spheres in $\mathcal L_{\mathbb R}^{5|6}$. |
1203.3812 | Hirotaka Hayashi | Kang-Sin Choi, Hirotaka Hayashi | U(n) Spectral Covers from Decomposition | 41 pages, 14 figures; v2: minor improvements and a reference added | null | 10.1007/JHEP06(2012)009 | KIAS-P12020 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct decomposed spectral covers for bundles on elliptically fibered
Calabi-Yau threefolds whose structure groups are S(U(1) x U(4)), S(U(2) x U(3))
and S(U(1) x U(1) x U(3)) in heterotic string compactifications. The
decomposition requires not only the tuning of the SU(5) spectral covers but
also the tuning of the complex structure moduli of the Calabi-Yau threefolds.
This configuration is translated to geometric data on F-theory side. We find
that the monodromy locus for two-cycles in K3 fibered Calabi-Yau fourfolds in a
stable degeneration limit is globally factorized with squared factors under the
decomposition conditions. This signals that the monodromy group is reduced and
there is a U(1) symmetry in a low energy effective field theory. To support
that, we explicitly check the reduction of a monodromy group in an appreciable
region of the moduli space for an $E_6$ gauge theory with (1+2) decomposition.
This may provide a systematic way for constructing F-theory models with U(1)
symmetries.
| [
{
"created": "Fri, 16 Mar 2012 20:31:18 GMT",
"version": "v1"
},
{
"created": "Fri, 11 May 2012 16:51:56 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Choi",
"Kang-Sin",
""
],
[
"Hayashi",
"Hirotaka",
""
]
] | We construct decomposed spectral covers for bundles on elliptically fibered Calabi-Yau threefolds whose structure groups are S(U(1) x U(4)), S(U(2) x U(3)) and S(U(1) x U(1) x U(3)) in heterotic string compactifications. The decomposition requires not only the tuning of the SU(5) spectral covers but also the tuning of the complex structure moduli of the Calabi-Yau threefolds. This configuration is translated to geometric data on F-theory side. We find that the monodromy locus for two-cycles in K3 fibered Calabi-Yau fourfolds in a stable degeneration limit is globally factorized with squared factors under the decomposition conditions. This signals that the monodromy group is reduced and there is a U(1) symmetry in a low energy effective field theory. To support that, we explicitly check the reduction of a monodromy group in an appreciable region of the moduli space for an $E_6$ gauge theory with (1+2) decomposition. This may provide a systematic way for constructing F-theory models with U(1) symmetries. |
1706.00796 | Adilson Jose da Silva | F. Marques, M. Gomes, A. J. da Silva | An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry | 19 pages, 3 figures | Phys. Rev. D 96, 105023 (2017) | 10.1103/PhysRevD.96.105023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a five dimensional Horava-Lifshitz like scalar QED with dynamical
exponent z=2. Consistency of the renormalization procedure requires the
presence of four quartic and one six-fold scalar couplings besides the terms
bilinear in the scalar fields. We compute one-loop radiative corrections to the
parameters in the original Lagrangian employing dimensional regularization in
the spacial part of the Feynman integrals and prove the relevant Ward
identities. By using renormalization group methods, we determine the behavior
of the coupling constants with changes in the energy and discuss the emergence
of Lorentz symmetry at low energies.
| [
{
"created": "Fri, 2 Jun 2017 18:07:00 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 2017 12:20:44 GMT",
"version": "v2"
}
] | 2017-12-13 | [
[
"Marques",
"F.",
""
],
[
"Gomes",
"M.",
""
],
[
"da Silva",
"A. J.",
""
]
] | We study a five dimensional Horava-Lifshitz like scalar QED with dynamical exponent z=2. Consistency of the renormalization procedure requires the presence of four quartic and one six-fold scalar couplings besides the terms bilinear in the scalar fields. We compute one-loop radiative corrections to the parameters in the original Lagrangian employing dimensional regularization in the spacial part of the Feynman integrals and prove the relevant Ward identities. By using renormalization group methods, we determine the behavior of the coupling constants with changes in the energy and discuss the emergence of Lorentz symmetry at low energies. |
1702.02203 | Daniel Freedman | Daniel Z. Freedman | Lecture for the Fortieth Anniversary of Supergravity | 16 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the first part of this lecture, some very basic ideas in supersymmetry and
supergravity are presented at a level accessible to readers with modest
background in quantum field theory and general relativity. The second part is
an outline of a recent paper of the author and his collaborators on the AdS/CFT
correspondence applied to the ABJM gauge theory with $\cal{N} =8$
supersymmetry.
| [
{
"created": "Tue, 7 Feb 2017 21:17:24 GMT",
"version": "v1"
}
] | 2017-02-09 | [
[
"Freedman",
"Daniel Z.",
""
]
] | In the first part of this lecture, some very basic ideas in supersymmetry and supergravity are presented at a level accessible to readers with modest background in quantum field theory and general relativity. The second part is an outline of a recent paper of the author and his collaborators on the AdS/CFT correspondence applied to the ABJM gauge theory with $\cal{N} =8$ supersymmetry. |
1909.04680 | Koji Umemoto | Arpan Bhattacharyya, Tadashi Takayanagi, Koji Umemoto | Universal Local Operator Quenches and Entanglement Entropy | 30 pages, 5 figures | JHEP 1911 (2019) 107 | 10.1007/JHEP11(2019)107 | YITP-19-85, IPMU19-0123 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new class of local quenches described by mixed states,
parameterized universally by two parameters. We compute the evolutions of
entanglement entropy for both a holographic and Dirac fermion CFT in two
dimensions. This turns out to be equivalent to calculations of two point
functions on a torus. We find that in holographic CFTs, the results coincide
with the known results of pure state local operator quenches. On the other
hand, we obtain new behaviors in the Dirac fermion CFT, which are missing in
the pure state counterpart. By combining our results with the inequalities
known for von-Neumann entropy, we obtain an upper bound of the pure state local
operator quenches in the Dirac fermion CFT. We also explore predictions about
the behaviors of entanglement entropy for more general mixed states.
| [
{
"created": "Tue, 10 Sep 2019 18:00:06 GMT",
"version": "v1"
}
] | 2019-11-22 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Umemoto",
"Koji",
""
]
] | We present a new class of local quenches described by mixed states, parameterized universally by two parameters. We compute the evolutions of entanglement entropy for both a holographic and Dirac fermion CFT in two dimensions. This turns out to be equivalent to calculations of two point functions on a torus. We find that in holographic CFTs, the results coincide with the known results of pure state local operator quenches. On the other hand, we obtain new behaviors in the Dirac fermion CFT, which are missing in the pure state counterpart. By combining our results with the inequalities known for von-Neumann entropy, we obtain an upper bound of the pure state local operator quenches in the Dirac fermion CFT. We also explore predictions about the behaviors of entanglement entropy for more general mixed states. |
hep-th/9711023 | Poul Henrik Damgaard | P.H. Damgaard, S.M. Nishigaki | Universal Spectral Correlators and Massive Dirac Operators | 15 pages, LaTeX. Typographical errors corrected. Note added | Nucl.Phys. B518 (1998) 495-512 | 10.1016/S0550-3213(98)00123-0 | NBI-HE-97-56, NSF-ITP-97-138 | hep-th | null | We derive the large-N spectral correlators of complex matrix ensembles with
weights that in the context of Dirac spectra correspond to N_f massive
fermions, and prove that the results are universal in the appropriate scaling
limits. The resulting microscopic spectral densities satisfy exact spectral sum
rules of massive Dirac operators in QCD.
| [
{
"created": "Wed, 5 Nov 1997 12:18:58 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 1997 13:26:43 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Nov 1997 13:12:40 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Jan 1998 12:43:25 GMT",
"version": "v4"
},
{
"created": "Thu, 22 Jan 1998 11:14:45 GMT",
"version": "v5"
}
] | 2009-10-30 | [
[
"Damgaard",
"P. H.",
""
],
[
"Nishigaki",
"S. M.",
""
]
] | We derive the large-N spectral correlators of complex matrix ensembles with weights that in the context of Dirac spectra correspond to N_f massive fermions, and prove that the results are universal in the appropriate scaling limits. The resulting microscopic spectral densities satisfy exact spectral sum rules of massive Dirac operators in QCD. |
2307.16884 | David Travieso Mayo | Javier Mas and David Travieso Mayo | Resonant Drivings in Global AdS | 27 pages + 1 appendix, 18 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the case of a real scalar field in global AdS$_4$ subject to a
periodic driving. We address the issue of adiabatic preparation and deformation
of a time-periodic solution dual to a Floquet condensate. Then we carefully
study the case of driving close to the normal mode resonant frequencies. We
examine different slow protocols that adiabatically change the amplitude and/or
the frequency of the driving. Traversing a normal mode frequency has very
different results depending upon the sense of the frequency modulation.
Generally, in the growing sense, the geometry reaches a periodically-modulated
state, whereas in the opposite one, it collapses into a black hole. We study
the suppression points. These are periodic solutions that are dual to a scalar
field with vanishing $v.e.v., \langle \phi\rangle = 0$, instead of vanishing
source. We also investigate quasi-periodic solutions that are prepared by
driving with a combination of two normal resonant frequencies. We observe that,
while the driving is on, the non-linear cascading towards higher frequencies is
strongly suppressed. However, once the driving is switched off, the cascading
takes over again, and in some cases, it eventually brings the solution to a
collapse. Finally, we study the driving by a non-coherent thermal ensemble of
resonant drivings that model stochastic noise. Our numerical results suggest
the existence of stable regular solutions at sufficiently low temperature and a
transition to collapse above some threshold.
| [
{
"created": "Mon, 31 Jul 2023 17:50:01 GMT",
"version": "v1"
}
] | 2023-08-01 | [
[
"Mas",
"Javier",
""
],
[
"Mayo",
"David Travieso",
""
]
] | We revisit the case of a real scalar field in global AdS$_4$ subject to a periodic driving. We address the issue of adiabatic preparation and deformation of a time-periodic solution dual to a Floquet condensate. Then we carefully study the case of driving close to the normal mode resonant frequencies. We examine different slow protocols that adiabatically change the amplitude and/or the frequency of the driving. Traversing a normal mode frequency has very different results depending upon the sense of the frequency modulation. Generally, in the growing sense, the geometry reaches a periodically-modulated state, whereas in the opposite one, it collapses into a black hole. We study the suppression points. These are periodic solutions that are dual to a scalar field with vanishing $v.e.v., \langle \phi\rangle = 0$, instead of vanishing source. We also investigate quasi-periodic solutions that are prepared by driving with a combination of two normal resonant frequencies. We observe that, while the driving is on, the non-linear cascading towards higher frequencies is strongly suppressed. However, once the driving is switched off, the cascading takes over again, and in some cases, it eventually brings the solution to a collapse. Finally, we study the driving by a non-coherent thermal ensemble of resonant drivings that model stochastic noise. Our numerical results suggest the existence of stable regular solutions at sufficiently low temperature and a transition to collapse above some threshold. |
1305.2414 | David Tong | Benjamin B\'eri, David Tong, Kenny Wong | Gauge Dynamics and Topological Insulators | 28 pages + appendices, 5 figures. v2: Added comments on stability of
lattice. Emphasised role of Higgs field. Added references v3: Further
reference added. v4: Version to appear in JHEP | JHEP 1309:025,2013 | 10.1007/JHEP09(2013)025 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A non-abelian magnetic field in Yang-Mills theory induces the formation of a
"W-boson" vortex lattice. We study the propagation of fundamental fermions in
the presence of this lattice in 2+1 dimensions. We show that the spectrum for
massless fermions contains four topologically-protected Dirac points with
non-zero Bloch momentum. For massive fermions, we compute topological
invariants of the band structure and show that it is possible to realise a Z2
topological insulator within Yang-Mills theory.
| [
{
"created": "Fri, 10 May 2013 19:58:14 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2013 19:42:22 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Jun 2013 15:01:42 GMT",
"version": "v3"
},
{
"created": "Tue, 20 Aug 2013 11:41:02 GMT",
"version": "v4"
}
] | 2015-06-15 | [
[
"Béri",
"Benjamin",
""
],
[
"Tong",
"David",
""
],
[
"Wong",
"Kenny",
""
]
] | A non-abelian magnetic field in Yang-Mills theory induces the formation of a "W-boson" vortex lattice. We study the propagation of fundamental fermions in the presence of this lattice in 2+1 dimensions. We show that the spectrum for massless fermions contains four topologically-protected Dirac points with non-zero Bloch momentum. For massive fermions, we compute topological invariants of the band structure and show that it is possible to realise a Z2 topological insulator within Yang-Mills theory. |
hep-th/0010143 | Ori Ganor | Ori J. Ganor (Princeton U.) | New M(atrix)-models for Commutative and Noncommutative Gauge Theories | 24pp LaTeX | null | null | PUPT-1958 | hep-th | null | We propose a M(atrix) model for N=4 $SU(k)$ Super-Yang-Mills theory
compactified on $T^4$. In this model it is possible to make $T^4$
noncommutative and it is easy to turn on all 6 components of the
noncommutativity on $T^4$. The action of S-duality on the noncommutativity
parameters is also manifest. The M(atrix)-model is given by the large $N$ limit
of a $\sigma$-model on $T^2$ whose target space is the moduli space of $k$
SU(N) instantons on $T^3\times R$. We also propose that the $SU(k)$ 2+1D
$Spin(8)$ theory (the low-energy description of $k$ M2-branes) on $T^3$
corresponds to the large $N$ limit of an integral over the latter instanton
moduli space. The identification is based on the fact that Euclidean wrapped
M2-branes in toroidally compactified M-theory correspond to instantons in the
M(atrix)-model. In the new M(atrix) models, operators with nonzero momentum
along $T^3$ (or $T^4$) correspond to insertions of Wilson lines along a 1-cycle
that is determined by the momentum. Momentum is conserved in the large $N$
limit.
| [
{
"created": "Wed, 18 Oct 2000 00:23:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ganor",
"Ori J.",
"",
"Princeton U."
]
] | We propose a M(atrix) model for N=4 $SU(k)$ Super-Yang-Mills theory compactified on $T^4$. In this model it is possible to make $T^4$ noncommutative and it is easy to turn on all 6 components of the noncommutativity on $T^4$. The action of S-duality on the noncommutativity parameters is also manifest. The M(atrix)-model is given by the large $N$ limit of a $\sigma$-model on $T^2$ whose target space is the moduli space of $k$ SU(N) instantons on $T^3\times R$. We also propose that the $SU(k)$ 2+1D $Spin(8)$ theory (the low-energy description of $k$ M2-branes) on $T^3$ corresponds to the large $N$ limit of an integral over the latter instanton moduli space. The identification is based on the fact that Euclidean wrapped M2-branes in toroidally compactified M-theory correspond to instantons in the M(atrix)-model. In the new M(atrix) models, operators with nonzero momentum along $T^3$ (or $T^4$) correspond to insertions of Wilson lines along a 1-cycle that is determined by the momentum. Momentum is conserved in the large $N$ limit. |
hep-th/9405074 | null | P.Pasti and M.Tonin | Twistor--like Formulation of D=10, type IIA, Superstrings $^*$ | 22 pages,tex, DFPD/94/TH/05 | null | null | null | hep-th | null | The twistor--like formulation of the type IIA superstring $\sigma$--model in
D=10 is obtained by performing a dimensional reduction of the recently proposed
twistor--like action of the supermembrane in D=11. The superstring action is
invariant under local, worldsheet $(n,n)$ supersymmetry where $3\leq n \leq 8$
and is classical equivalent to the standard Green--Schwarz action (at least for
$n=8)$
| [
{
"created": "Wed, 11 May 1994 07:09:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pasti",
"P.",
""
],
[
"Tonin",
"M.",
""
]
] | The twistor--like formulation of the type IIA superstring $\sigma$--model in D=10 is obtained by performing a dimensional reduction of the recently proposed twistor--like action of the supermembrane in D=11. The superstring action is invariant under local, worldsheet $(n,n)$ supersymmetry where $3\leq n \leq 8$ and is classical equivalent to the standard Green--Schwarz action (at least for $n=8)$ |
2212.07097 | Alexander Reshetnyak | Ioseph L. Buchbinder and Alexander A. Reshetnyak | Covariant Cubic Interacting Vertices for Massless and Massive Integer
Higher Spin Fields | 47 pages; 3 figures; presentation improved, Introduction enlarged, 9
references added, published version | Symmetry 2023, 15(12), 2124 | 10.3390/sym15122124 | null | hep-th math-ph math.DS math.MP | http://creativecommons.org/licenses/by/4.0/ | We develop the BRST approach to construct the general off-shell local Lorentz
covariant cubic interaction vertices for irreducible massless and massive
higher spin fields on $d$-dimensional Minkowski space. We consider two
different cases for interacting higher spin fields: with one massive and two
massless; with two massive both with coinciding and with different masses and
one massless fields of spins $s_1, s_2, s_3$. Unlike the previous results on
cubic vertices we extend our earlier result in [arXiv:2105.12030[hep-th]] for
massless fields and employ the complete BRST operator, including the trace
constraints that is used to formulate an irreducible representation with
definite integer spin. We generalize the cubic vertices proposed for reducible
higher spin fields in [arXiv:1205.3131 [hep-th]] in the form of multiplicative
and non-multiplicative BRST-closed constituents and calculate the new
contributions to the vertex, which contain additional terms with a smaller
number space-time derivatives of the fields. We prove that without traceless
conditions for the cubic vertices in [arXiv:1205.3131 [hep-th]] it is
impossible to provide the noncontradictory Lagrangian dynamics and find
explicit traceless solution for these vertices. As the examples, we explicitly
construct the interacting Lagrangian for the massive of spin $s$ field and
massless scalars both with and without auxiliary fields. The interacting models
with different combinations of triples higher spin fields: massive of spin $s$
with massless scalar and vector fields and with two vector fields; massless of
helicity $\lambda$ with massless scalar and massive vector fields; two massive
fields of spins $s, 0$ and massless scalar are also considered.
| [
{
"created": "Wed, 14 Dec 2022 08:41:06 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2022 03:27:05 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Mar 2023 11:14:22 GMT",
"version": "v3"
},
{
"created": "Wed, 12 Apr 2023 04:45:26 GMT",
"version": "v4"
},
{
"created": "Tue, 18 Jul 2023 16:24:19 GMT",
"version": "v5"
},
{
"created": "Wed, 16 Aug 2023 14:56:10 GMT",
"version": "v6"
},
{
"created": "Tue, 28 Nov 2023 19:34:34 GMT",
"version": "v7"
}
] | 2023-11-30 | [
[
"Buchbinder",
"Ioseph L.",
""
],
[
"Reshetnyak",
"Alexander A.",
""
]
] | We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases for interacting higher spin fields: with one massive and two massless; with two massive both with coinciding and with different masses and one massless fields of spins $s_1, s_2, s_3$. Unlike the previous results on cubic vertices we extend our earlier result in [arXiv:2105.12030[hep-th]] for massless fields and employ the complete BRST operator, including the trace constraints that is used to formulate an irreducible representation with definite integer spin. We generalize the cubic vertices proposed for reducible higher spin fields in [arXiv:1205.3131 [hep-th]] in the form of multiplicative and non-multiplicative BRST-closed constituents and calculate the new contributions to the vertex, which contain additional terms with a smaller number space-time derivatives of the fields. We prove that without traceless conditions for the cubic vertices in [arXiv:1205.3131 [hep-th]] it is impossible to provide the noncontradictory Lagrangian dynamics and find explicit traceless solution for these vertices. As the examples, we explicitly construct the interacting Lagrangian for the massive of spin $s$ field and massless scalars both with and without auxiliary fields. The interacting models with different combinations of triples higher spin fields: massive of spin $s$ with massless scalar and vector fields and with two vector fields; massless of helicity $\lambda$ with massless scalar and massive vector fields; two massive fields of spins $s, 0$ and massless scalar are also considered. |
hep-th/9211027 | Stephan Stieberger | S. Stieberger | Moduli and Twisted Sector Dependence of Z_N x Z_M Orbifold Couplings | 10 pages (Latex) | Phys.Lett.B300:347-353,1993 | 10.1016/0370-2693(93)91344-M | null | hep-th | null | We derive the four point correlation function involving four twist fields for
arbitrary even dimensional Z_N x Z_M orbifold compactifications. Using
techniques from the conformal field theory the three point correlation
functions with twist fields are determined. Both the choice of the modular
background (compatible with the twists) and of the (higher) twisted sectors
involved are fully general. Our results turn out to be target space duality
invariant.
| [
{
"created": "Wed, 4 Nov 1992 19:34:12 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Stieberger",
"S.",
""
]
] | We derive the four point correlation function involving four twist fields for arbitrary even dimensional Z_N x Z_M orbifold compactifications. Using techniques from the conformal field theory the three point correlation functions with twist fields are determined. Both the choice of the modular background (compatible with the twists) and of the (higher) twisted sectors involved are fully general. Our results turn out to be target space duality invariant. |
hep-th/0607211 | Giancarlo Rossi | G.C. Rossi | Theories, models, simulations: a computational challenge | 19 pages, 1 figure, conference paper | null | null | null | hep-th | null | In this talk I would like to illustrate with examples taken from Quantum
Field Theory and Biophysics how an intelligent exploitation of the
unprecedented power of today's computers could led not only to the solution of
pivotal problems in the theory of Strong Interactions, but also to the
emergence of new lines of interdisciplinary research, while at the same time
pushing the limits of modeling to the realm of living systems.
| [
{
"created": "Wed, 26 Jul 2006 14:02:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rossi",
"G. C.",
""
]
] | In this talk I would like to illustrate with examples taken from Quantum Field Theory and Biophysics how an intelligent exploitation of the unprecedented power of today's computers could led not only to the solution of pivotal problems in the theory of Strong Interactions, but also to the emergence of new lines of interdisciplinary research, while at the same time pushing the limits of modeling to the realm of living systems. |
1211.2240 | Nikita Nekrasov | Nikita Nekrasov and Vasily Pestun | Seiberg-Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge
Theories | null | SIGMA 19 (2023), 047, 141 pages | 10.3842/SIGMA.2023.047 | null | hep-th math-ph math.AG math.MP | http://creativecommons.org/licenses/by-sa/4.0/ | Seiberg-Witten geometry of mass deformed $\mathcal N=2$ superconformal ADE
quiver gauge theories in four dimensions is determined. We solve the limit
shape equations derived from the gauge theory and identify the space $\mathfrak
M$ of vacua of the theory with the moduli space of the genus zero holomorphic
(quasi)maps to the moduli space ${\rm Bun}_{\mathbf G} (\mathcal E)$ of
holomorphic $G^{\mathbb C}$-bundles on a (possibly degenerate) elliptic curve
$\mathcal E$ defined in terms of the microscopic gauge couplings, for the
corresponding simple ADE Lie group $G$. The integrable systems $\mathfrak P$
underlying the special geometry of $\mathfrak M$ are identified. The moduli
spaces of framed $G$-instantons on ${\mathbb R}^{2} \times {\mathbb T}^{2}$, of
$G$-monopoles with singularities on ${\mathbb R}^{2} \times {\mathbb S}^{1}$,
the Hitchin systems on curves with punctures, as well as various spin chains
play an important r\^ole in our story. We also comment on the
higher-dimensional theories.
| [
{
"created": "Fri, 9 Nov 2012 21:05:26 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jul 2023 08:21:39 GMT",
"version": "v2"
}
] | 2023-07-21 | [
[
"Nekrasov",
"Nikita",
""
],
[
"Pestun",
"Vasily",
""
]
] | Seiberg-Witten geometry of mass deformed $\mathcal N=2$ superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify the space $\mathfrak M$ of vacua of the theory with the moduli space of the genus zero holomorphic (quasi)maps to the moduli space ${\rm Bun}_{\mathbf G} (\mathcal E)$ of holomorphic $G^{\mathbb C}$-bundles on a (possibly degenerate) elliptic curve $\mathcal E$ defined in terms of the microscopic gauge couplings, for the corresponding simple ADE Lie group $G$. The integrable systems $\mathfrak P$ underlying the special geometry of $\mathfrak M$ are identified. The moduli spaces of framed $G$-instantons on ${\mathbb R}^{2} \times {\mathbb T}^{2}$, of $G$-monopoles with singularities on ${\mathbb R}^{2} \times {\mathbb S}^{1}$, the Hitchin systems on curves with punctures, as well as various spin chains play an important r\^ole in our story. We also comment on the higher-dimensional theories. |
1204.2551 | Alexander Knochel | Arthur Hebecker, Alexander K. Knochel, Timo Weigand | A Shift Symmetry in the Higgs Sector: Experimental Hints and Stringy
Realizations | v2: References added. v3: References added, published version | null | 10.1007/JHEP06(2012)093 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We interpret reported hints of a Standard Model Higgs boson at ~ 125 GeV in
terms of high-scale supersymmetry breaking with a shift symmetry in the Higgs
sector. More specifically, the Higgs mass range suggested by recent LHC data
extrapolates, within the (non-supersymmetric) Standard Model, to a vanishing
quartic Higgs coupling at a UV scale between 10^6 and 10^18 GeV. Such a small
value of lambda can be understood in terms of models with high-scale SUSY
breaking if the Kahler potential possesses a shift symmetry, i.e., if it
depends on H_u and H_d only in the combination (H_u+\bar{H}_d). This symmetry
is known to arise rather naturally in certain heterotic compactifications. We
suggest that such a structure of the Higgs Kahler potential is common in a
wider class of string constructions, including intersecting D7- and D6-brane
models and their extensions to F-theory or M-theory. The latest LHC data may
thus be interpreted as hinting to a particular class of compactifications which
possess this shift symmetry.
| [
{
"created": "Wed, 11 Apr 2012 20:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2012 08:58:06 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2012 20:26:58 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Hebecker",
"Arthur",
""
],
[
"Knochel",
"Alexander K.",
""
],
[
"Weigand",
"Timo",
""
]
] | We interpret reported hints of a Standard Model Higgs boson at ~ 125 GeV in terms of high-scale supersymmetry breaking with a shift symmetry in the Higgs sector. More specifically, the Higgs mass range suggested by recent LHC data extrapolates, within the (non-supersymmetric) Standard Model, to a vanishing quartic Higgs coupling at a UV scale between 10^6 and 10^18 GeV. Such a small value of lambda can be understood in terms of models with high-scale SUSY breaking if the Kahler potential possesses a shift symmetry, i.e., if it depends on H_u and H_d only in the combination (H_u+\bar{H}_d). This symmetry is known to arise rather naturally in certain heterotic compactifications. We suggest that such a structure of the Higgs Kahler potential is common in a wider class of string constructions, including intersecting D7- and D6-brane models and their extensions to F-theory or M-theory. The latest LHC data may thus be interpreted as hinting to a particular class of compactifications which possess this shift symmetry. |
1412.3454 | Murad Alim | Murad Alim | Algebraic structure of $tt^*$ equations for Calabi-Yau sigma models | 56 pages | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $tt^*$ equations define a flat connection on the moduli spaces of $2d,
\mathcal{N}=2$ quantum field theories. For conformal theories with $c=3d$,
which can be realized as nonlinear sigma models into Calabi-Yau d-folds, this
flat connection is equivalent to special geometry for threefolds and to its
analogs in other dimensions. We show that the non-holomorphic content of the
$tt^*$ equations in the cases $d=1,2,3$ is captured in terms of finitely many
generators of special functions, which close under derivatives. The generators
are understood as coordinates on a larger moduli space. This space
parameterizes a freedom in choosing representatives of the chiral ring while
preserving a constant topological metric. Geometrically, the freedom
corresponds to a choice of forms on the target space respecting the Hodge
filtration and having a constant pairing. Linear combinations of vector fields
on that space are identified with generators of a Lie algebra. This Lie algebra
replaces the non-holomorphic derivatives of $tt^*$ and provides these with a
finer and algebraic meaning. For sigma models into lattice polarized $K3$
manifolds, the differential ring of special functions on the moduli space is
constructed, extending known structures for $d=1$ and 3. The generators of the
differential rings of special functions are given by quasi-modular forms for
$d=1$ and their generalizations in $d=2,3$. Some explicit examples are worked
out including the case of the mirror of the quartic in $CP^3$, where due to
further algebraic constraints, the differential ring coincides with quasi
modular forms.
| [
{
"created": "Wed, 10 Dec 2014 21:00:02 GMT",
"version": "v1"
}
] | 2014-12-12 | [
[
"Alim",
"Murad",
""
]
] | The $tt^*$ equations define a flat connection on the moduli spaces of $2d, \mathcal{N}=2$ quantum field theories. For conformal theories with $c=3d$, which can be realized as nonlinear sigma models into Calabi-Yau d-folds, this flat connection is equivalent to special geometry for threefolds and to its analogs in other dimensions. We show that the non-holomorphic content of the $tt^*$ equations in the cases $d=1,2,3$ is captured in terms of finitely many generators of special functions, which close under derivatives. The generators are understood as coordinates on a larger moduli space. This space parameterizes a freedom in choosing representatives of the chiral ring while preserving a constant topological metric. Geometrically, the freedom corresponds to a choice of forms on the target space respecting the Hodge filtration and having a constant pairing. Linear combinations of vector fields on that space are identified with generators of a Lie algebra. This Lie algebra replaces the non-holomorphic derivatives of $tt^*$ and provides these with a finer and algebraic meaning. For sigma models into lattice polarized $K3$ manifolds, the differential ring of special functions on the moduli space is constructed, extending known structures for $d=1$ and 3. The generators of the differential rings of special functions are given by quasi-modular forms for $d=1$ and their generalizations in $d=2,3$. Some explicit examples are worked out including the case of the mirror of the quartic in $CP^3$, where due to further algebraic constraints, the differential ring coincides with quasi modular forms. |
0712.1886 | Gabor Takacs | M. Kormos and G. Takacs | Boundary form factors in finite volume | v1: 25 pages, 12 eps figures, LaTex2e file. v2: a new eps figure and
some explanatory notes added | Nucl.Phys.B803:277-298,2008 | 10.1016/j.nuclphysb.2008.05.003 | ITP-Budapest Report No. 636 | hep-th cond-mat.other | null | We describe the volume dependence of matrix elements of local boundary fields
to all orders in inverse powers of the volume. Using the scaling boundary
Lee-Yang model as testing ground, we compare the matrix elements extracted from
boundary truncated conformal space approach to exact form factors obtained
using the bootstrap method. We obtain solid confirmation for the boundary form
factor bootstrap, which is different from all previously available tests in
that it is a non-perturbative and direct comparison of exact form factors to
multi-particle matrix elements of local operators, computed from the
Hamiltonian formulation of the quantum field theory.
| [
{
"created": "Wed, 12 Dec 2007 09:23:20 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 2008 06:22:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kormos",
"M.",
""
],
[
"Takacs",
"G.",
""
]
] | We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary truncated conformal space approach to exact form factors obtained using the bootstrap method. We obtain solid confirmation for the boundary form factor bootstrap, which is different from all previously available tests in that it is a non-perturbative and direct comparison of exact form factors to multi-particle matrix elements of local operators, computed from the Hamiltonian formulation of the quantum field theory. |
hep-th/0112125 | Mikhail Plyushchay | Sergey M. Klishevich and Mikhail S. Plyushchay | Nonlinear Supersymmetry | 14 pages. In: Proceedings of the Fourth Intern. Conference ``Symmetry
in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Editors A. G.
Nikitin, V. M. Boyko and R. O. Popovych, Kyiv, Inst. of Mathematics, 2002,
V.43, Part 2, pp. 508--519 | EconfC0107094:508-519,2001 | null | USACH-FM-01-10 | hep-th quant-ph | null | After a short discussion of the intimate relation between the generalized
statistics and supersymmetry, we review the recent results on the nonlinear
supersymmetry obtained in the context of the quantum anomaly problem and of the
universal algebraic construction associated with the holomorphic nonlinear
supersymmetry.
| [
{
"created": "Fri, 14 Dec 2001 15:26:03 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2001 22:53:30 GMT",
"version": "v2"
},
{
"created": "Mon, 20 May 2002 22:49:38 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Klishevich",
"Sergey M.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | After a short discussion of the intimate relation between the generalized statistics and supersymmetry, we review the recent results on the nonlinear supersymmetry obtained in the context of the quantum anomaly problem and of the universal algebraic construction associated with the holomorphic nonlinear supersymmetry. |
hep-th/9706126 | Lewis Fulcher | Lewis P. Fulcher (Bowling Green State University, Ohio, USA) | Flavor independence and the dual superconducting model of QCD | 9 pages LaTex file in the RevTex style with 4 postscript figures,
submitted to Phys. Rev. D, includes additional calculations resulting from
feedback by colleagues, conclusions stated more clearly | Phys.Rev. D57 (1998) 350-356 | 10.1103/PhysRevD.57.350 | null | hep-th hep-ph nucl-th | null | Baker, Ball and Zachariasen have developed an elegant formulation of the dual
superconducting model of quantum chromodynamics (QCD), which allows one to use
the field equations to eliminate the gluon and Higgs degrees of freedom and
thus to express the interaction between quarks as an effective potential.
Carrying out an expansion in inverse powers of the constituent quark masses,
these authors succeeded in identifying the central part, the spin-dependent
part and the leading relativistic corrections to the central potential. The
potential offers a good account of the energies and splittings of charmonium
and the upsilon system. Since all of the flavor dependence of the interaction
is presumed to enter through the constituent masses, it is possible to test the
potential in other systems. Logical candidates are the heavy B-flavor charmed
system and the heavy-light systems, which should be more sensitive to the
relativistic corrections. Lattice gauge calculations furnish an additional
point of contact for the components of the BBZ potential. Some preliminary
calculations of the energies of B and D mesons are presented and the challenge
of agreement with experiment is discussed. The spinless Salpeter equation is
used to account for the effects of relativistic kinematics.
| [
{
"created": "Tue, 17 Jun 1997 15:45:12 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Aug 1997 15:53:15 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Fulcher",
"Lewis P.",
"",
"Bowling Green State University, Ohio, USA"
]
] | Baker, Ball and Zachariasen have developed an elegant formulation of the dual superconducting model of quantum chromodynamics (QCD), which allows one to use the field equations to eliminate the gluon and Higgs degrees of freedom and thus to express the interaction between quarks as an effective potential. Carrying out an expansion in inverse powers of the constituent quark masses, these authors succeeded in identifying the central part, the spin-dependent part and the leading relativistic corrections to the central potential. The potential offers a good account of the energies and splittings of charmonium and the upsilon system. Since all of the flavor dependence of the interaction is presumed to enter through the constituent masses, it is possible to test the potential in other systems. Logical candidates are the heavy B-flavor charmed system and the heavy-light systems, which should be more sensitive to the relativistic corrections. Lattice gauge calculations furnish an additional point of contact for the components of the BBZ potential. Some preliminary calculations of the energies of B and D mesons are presented and the challenge of agreement with experiment is discussed. The spinless Salpeter equation is used to account for the effects of relativistic kinematics. |
1802.10537 | Yan Gobeil | Yan Gobeil, Alexander Maloney, Gim Seng Ng, Jie-qiang Wu | Thermal Conformal Blocks | 39 pages, 2 figures, v2: added minor clarification and references | SciPost Phys. 7, 015 (2019) | 10.21468/SciPostPhys.7.2.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study conformal blocks for thermal one-point-functions on the sphere in
conformal field theories of general dimension. These thermal conformal blocks
satisfy second order Casimir differential equations and have integral
representations related to AdS Witten diagrams. We give an analytic formula for
the scalar conformal block in terms of generalized hypergeometric functions. As
an application, we deduce an asymptotic formula for the three-point coeffcients
of primary operators in the limit where two of the operators are heavy.
| [
{
"created": "Wed, 28 Feb 2018 17:15:56 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2019 15:42:08 GMT",
"version": "v2"
}
] | 2019-08-07 | [
[
"Gobeil",
"Yan",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Wu",
"Jie-qiang",
""
]
] | We study conformal blocks for thermal one-point-functions on the sphere in conformal field theories of general dimension. These thermal conformal blocks satisfy second order Casimir differential equations and have integral representations related to AdS Witten diagrams. We give an analytic formula for the scalar conformal block in terms of generalized hypergeometric functions. As an application, we deduce an asymptotic formula for the three-point coeffcients of primary operators in the limit where two of the operators are heavy. |
hep-th/9609104 | Naoki Sasakura | Katsushi Ito (Univ. of Tsukuba) and Naoki Sasakura (Tohoku Univ.) | One-instanton calculations in N=2 SU(Nc) Supersymmetric QCD | 13 pages, LaTeX. Minor changes: Some misprints are corrected, and
some references are added | Mod.Phys.Lett. A12 (1997) 205-216 | 10.1142/S0217732397000200 | UTHEP-346, TU-511 | hep-th | null | We study the low-energy effective theory in N=2 SU(Nc) supersymmetric QCD
with Nf =< 2Nc fundamental hypermultiplets in the Coulomb branch by microscopic
and exact approaches. We calculate the one-instanton correction to the modulus
u=< 1/2 Tr A^2 > from microscopic instanton calculation. We also study the
one-instanton corrections from the exact solutions for Nc=3 with massless
hypermultiplets. They agree with each other except for Nf=2Nc-2 and 2Nc cases.
These differences come from possible ambiguities in the constructions of the
exact solutions or the definitions of the operators in the microscopic
theories.
| [
{
"created": "Thu, 12 Sep 1996 12:13:34 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 1996 06:18:11 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jan 1997 08:55:43 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Ito",
"Katsushi",
"",
"Univ. of Tsukuba"
],
[
"Sasakura",
"Naoki",
"",
"Tohoku Univ."
]
] | We study the low-energy effective theory in N=2 SU(Nc) supersymmetric QCD with Nf =< 2Nc fundamental hypermultiplets in the Coulomb branch by microscopic and exact approaches. We calculate the one-instanton correction to the modulus u=< 1/2 Tr A^2 > from microscopic instanton calculation. We also study the one-instanton corrections from the exact solutions for Nc=3 with massless hypermultiplets. They agree with each other except for Nf=2Nc-2 and 2Nc cases. These differences come from possible ambiguities in the constructions of the exact solutions or the definitions of the operators in the microscopic theories. |
hep-th/9412111 | Teng Hong-bo | Han-Ying Guo, Yu Cai and Hong-Bo Teng | On inserter regularization method | 10 pages, latex, talk given by H.Y.Guo at ITP workshop on Gauge
Theory and WZW model during Dec. 5-10, also a concise version of
hep-th/9412034 | null | null | null | hep-th | null | There exist certain intrinsic relations between the ultraviolet divergent
graphs and the convergent ones at the same loop order in renormalizable quantum
field theories. Whereupon we present a new method, the inserter regularization
method, to regulate those divergent graphs. In this letter, we demonstrate this
method with the $\phi^4$ theory and QED at the one loop order. Some
applications to SUSY-models are also made at the one loop order, which shows
that supersymmetry is preserved manifestly and consistently.
| [
{
"created": "Tue, 13 Dec 1994 01:00:01 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Guo",
"Han-Ying",
""
],
[
"Cai",
"Yu",
""
],
[
"Teng",
"Hong-Bo",
""
]
] | There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we present a new method, the inserter regularization method, to regulate those divergent graphs. In this letter, we demonstrate this method with the $\phi^4$ theory and QED at the one loop order. Some applications to SUSY-models are also made at the one loop order, which shows that supersymmetry is preserved manifestly and consistently. |
1204.1787 | Bin Wang | Xiao-Mei Kuang, Yunqi Liu, Bin Wang | Observing various phase transitions in the holographic model of
superfluidity | 12 pages, 8 figures, accepted for publication in Phys.Rev.D | null | 10.1103/PhysRevD.86.046008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gravity duals of supercurrent solutions in the AdS black hole
background with general phase structure to describe both the first and the
second order phase transitions at finite temperature in strongly interacting
systems. We argue that the conductivity and the pair susceptibility can be
possible phenomenological indications to distinguish the order of phase
transitions. We extend our discussion to the AdS soliton configuration.
Different from the black hole spacetime, in the probe limit the first order
phase transition cannot be brought by introducing the spatial component of the
vector potential of the gauge field in the AdS soliton background.
| [
{
"created": "Mon, 9 Apr 2012 03:16:06 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2012 08:38:14 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Kuang",
"Xiao-Mei",
""
],
[
"Liu",
"Yunqi",
""
],
[
"Wang",
"Bin",
""
]
] | We study the gravity duals of supercurrent solutions in the AdS black hole background with general phase structure to describe both the first and the second order phase transitions at finite temperature in strongly interacting systems. We argue that the conductivity and the pair susceptibility can be possible phenomenological indications to distinguish the order of phase transitions. We extend our discussion to the AdS soliton configuration. Different from the black hole spacetime, in the probe limit the first order phase transition cannot be brought by introducing the spatial component of the vector potential of the gauge field in the AdS soliton background. |
1205.3804 | Sofiane Faci | Sofiane Faci | SO(2,4)-covariant quantization of the Maxwell field in a conformally
flat space | 7 pages, 1 figure, slight modifications, accepted for publication in
PRD | Phys. Rev. D 87, 064040 (2013) | 10.1103/PhysRevD.87.064040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an SO(2,4)-covariant quantization of the free electromagnetic
field in conformally flat spaces (CFS). A CFS is realized in a six-dimensional
space as an intersection of the null cone with a given surface. The smooth move
of the latter is equivalent to perform a Weyl rescaling. This allows to
transport the SO(2,4)-invariant quantum structure of the Maxwell field from
Minkowski space to any CFS. Calculations are simplified and the CFS Wightman
two-point functions are given in terms of their Minkowskian counterparts. The
difficulty due to gauge freedom is surpassed by introducing two auxiliary
fields and using the Gupta-Bleuler quantization scheme. The quantum structure
is given by a vacuum state and creators/annihilators acting on some Hilbert
space. In practice, only the Hilbert space changes under Weyl rescalings. Also
the quantum SO(2,4)-invariant free Maxwell field does not distinguish between
two CFSs.
| [
{
"created": "Wed, 16 May 2012 20:39:39 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Dec 2012 22:16:13 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Mar 2013 19:37:52 GMT",
"version": "v3"
}
] | 2013-04-02 | [
[
"Faci",
"Sofiane",
""
]
] | We present an SO(2,4)-covariant quantization of the free electromagnetic field in conformally flat spaces (CFS). A CFS is realized in a six-dimensional space as an intersection of the null cone with a given surface. The smooth move of the latter is equivalent to perform a Weyl rescaling. This allows to transport the SO(2,4)-invariant quantum structure of the Maxwell field from Minkowski space to any CFS. Calculations are simplified and the CFS Wightman two-point functions are given in terms of their Minkowskian counterparts. The difficulty due to gauge freedom is surpassed by introducing two auxiliary fields and using the Gupta-Bleuler quantization scheme. The quantum structure is given by a vacuum state and creators/annihilators acting on some Hilbert space. In practice, only the Hilbert space changes under Weyl rescalings. Also the quantum SO(2,4)-invariant free Maxwell field does not distinguish between two CFSs. |
hep-th/9809169 | Mikhail Kalmykov | M.Yu.Kalmykov, K.A.Kazakov, P.I.Pronin, K.V.Stepanyantz | Detailed analysis of the dependence of the one-loop counterterms on the
gauge and parametrization in the Einstein gravity with the cosmological
constant | LaTeX, 28 pages | Class.Quant.Grav.15:3777-3794,1998 | 10.1088/0264-9381/15/12/008 | null | hep-th gr-qc | null | In this paper, the dependence of the Einstein gravity with the cosmological
constant as well as of this theory in the first-order formalism on the gauge
and parametrization is been analyzed. The one-loop counterterms off the mass
shell have been plainly calculated in arbitrary gauge and parametrization. The
tensor package of analytic calculations, written in REDUCE, allowed all the
calculations to be carried out. A method of renormalization group functions
calculations off shell is discussed.
| [
{
"created": "Wed, 23 Sep 1998 11:15:06 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Kalmykov",
"M. Yu.",
""
],
[
"Kazakov",
"K. A.",
""
],
[
"Pronin",
"P. I.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | In this paper, the dependence of the Einstein gravity with the cosmological constant as well as of this theory in the first-order formalism on the gauge and parametrization is been analyzed. The one-loop counterterms off the mass shell have been plainly calculated in arbitrary gauge and parametrization. The tensor package of analytic calculations, written in REDUCE, allowed all the calculations to be carried out. A method of renormalization group functions calculations off shell is discussed. |
hep-th/0105238 | B. Stefanski jr. | G. Arutyunov, A. Pankiewicz, B. Stefanski Jr | Boundary Superstring Field Theory Annulus Partition Function in the
Presence of Tachyons | 31 pages, 1 figure, LaTeX; v2 32 pages, references added, typos
corrected, discussion of open string normal ordering constant modified | JHEP 0106:049,2001 | 10.1088/1126-6708/2001/06/049 | null | hep-th | null | We compute the Boundary Superstring Field Theory partition function on the
annulus in the presence of independent linear tachyon profiles on the two
boundaries. The R-R sector is found to contribute non-trivially to the
derivative terms of the space-time effective action. In the process we
construct a boundary state description of D-branes in the presence of a linear
tachyon. We quantize the open string in a tachyonic background and address the
question of open/closed string duality.
| [
{
"created": "Wed, 23 May 2001 14:29:37 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 17:55:23 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Arutyunov",
"G.",
""
],
[
"Pankiewicz",
"A.",
""
],
[
"Stefanski",
"B.",
"Jr"
]
] | We compute the Boundary Superstring Field Theory partition function on the annulus in the presence of independent linear tachyon profiles on the two boundaries. The R-R sector is found to contribute non-trivially to the derivative terms of the space-time effective action. In the process we construct a boundary state description of D-branes in the presence of a linear tachyon. We quantize the open string in a tachyonic background and address the question of open/closed string duality. |
hep-th/0512271 | Fabien Vignes-Tourneret | Razvan Gurau, Jacques Magnen, Vincent Rivasseau, Fabien
Vignes-Tourneret | Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space | 32 pages, v2: correction of lemmas 3.1 and 3.2 with no consequence on
the main result | Commun.Math.Phys.267:515-542,2006 | 10.1007/s00220-006-0055-8 | null | hep-th math-ph math.MP | null | In this paper we provide a new proof that the Grosse-Wulkenhaar
non-commutative scalar Phi^4_4 theory is renormalizable to all orders in
perturbation theory, and extend it to more general models with covariant
derivatives. Our proof relies solely on a multiscale analysis in x space. We
think this proof is simpler and could be more adapted to the future study of
these theories (in particular at the non-perturbative or constructive level).
| [
{
"created": "Wed, 21 Dec 2005 12:46:15 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2006 16:44:56 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Gurau",
"Razvan",
""
],
[
"Magnen",
"Jacques",
""
],
[
"Rivasseau",
"Vincent",
""
],
[
"Vignes-Tourneret",
"Fabien",
""
]
] | In this paper we provide a new proof that the Grosse-Wulkenhaar non-commutative scalar Phi^4_4 theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think this proof is simpler and could be more adapted to the future study of these theories (in particular at the non-perturbative or constructive level). |
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