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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9409042
|
Maha Saadi
|
K.M. Benson, A.V. Manohar and M. Saadi
|
QCD Flux Tubes as Sigma Model Relics
|
12 pages (REVTEX) plus one figure
|
Phys.Rev.Lett. 74 (1995) 1932-1935
|
10.1103/PhysRevLett.74.1932
|
UCSD/PTH 94-13
|
hep-th hep-ph
| null |
We describe flux tubes and their interactions in a low energy sigma model
induced by $SU(\NF) \goto SO(\NF)$ flavor symmetry breaking in $SO(N_c)$ QCD.
Gauge confinement manifests itself in the low energy theory through flux tube
interactions with unscreened sources. The flux tubes which mediate confinement
also illustrate an interesting ambiguity in defining global Alice strings.
|
[
{
"created": "Thu, 8 Sep 1994 21:31:10 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 1994 21:36:55 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Dec 1994 17:52:39 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Benson",
"K. M.",
""
],
[
"Manohar",
"A. V.",
""
],
[
"Saadi",
"M.",
""
]
] |
We describe flux tubes and their interactions in a low energy sigma model induced by $SU(\NF) \goto SO(\NF)$ flavor symmetry breaking in $SO(N_c)$ QCD. Gauge confinement manifests itself in the low energy theory through flux tube interactions with unscreened sources. The flux tubes which mediate confinement also illustrate an interesting ambiguity in defining global Alice strings.
|
hep-th/9607222
|
Tchavdar Palev
|
Tchavdar D. Palev
|
A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra
gl(m/n+1)
|
TeX, 7 pages
|
J.Phys.A30:8273-8278,1997
|
10.1088/0305-4470/30/23/023
|
Preprints SISSA-97/96/FM and ICTP IC/96/101
|
hep-th cond-mat nucl-th
| null |
The known Holstein-Primakoff and Dyson realizations for the Lie algebras
$gl(n+1),\;n=1,2,\ldots$ in terms of Bose operators are generalized to the
class of the Lie superalgebras $gl(m/n+1)$ for any $n$ and $m$. Formally the
expressions are the same as for $gl(m+n+1)$, however both Bose and Fermi
operators are involved.
|
[
{
"created": "Mon, 29 Jul 1996 17:10:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Palev",
"Tchavdar D.",
""
]
] |
The known Holstein-Primakoff and Dyson realizations for the Lie algebras $gl(n+1),\;n=1,2,\ldots$ in terms of Bose operators are generalized to the class of the Lie superalgebras $gl(m/n+1)$ for any $n$ and $m$. Formally the expressions are the same as for $gl(m+n+1)$, however both Bose and Fermi operators are involved.
|
hep-th/0110009
|
Mitsuo Abe
|
Mitsuo Abe and Katsunori Kawamura
|
Pseudo Cuntz Algebra and Recursive FP Ghost System in String Theory
|
18 pages, LaTeX
|
Int.J.Mod.Phys. A18 (2003) 607-626
|
10.1142/S0217751X0301379X
|
RIMS-1333
|
hep-th
| null |
Representation of the algebra of FP (anti)ghosts in string theory is studied
by generalizing the recursive fermion system in the Cuntz algebra constructed
previously. For that purpose, the pseudo Cuntz algebra, which is a
$\ast$-algebra generalizing the Cuntz algebra and acting on indefinite-metric
vector spaces, is introduced. The algebra of FP (anti)ghosts in string theory
is embedded into the pseudo Cuntz algebra recursively in two different ways.
Restricting a certain permutation representation of the pseudo Cuntz algebra,
representations of these two recursive FP ghost systems are obtained. With
respect to the zero-mode operators of FP (anti)ghosts, it is shown that one
corresponds to the four-dimensional representation found recently by one of the
present authors (M.A.) and Nakanishi, while the other corresponds to the
two-dimensional one by Kato and Ogawa.
|
[
{
"created": "Mon, 1 Oct 2001 10:24:22 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Abe",
"Mitsuo",
""
],
[
"Kawamura",
"Katsunori",
""
]
] |
Representation of the algebra of FP (anti)ghosts in string theory is studied by generalizing the recursive fermion system in the Cuntz algebra constructed previously. For that purpose, the pseudo Cuntz algebra, which is a $\ast$-algebra generalizing the Cuntz algebra and acting on indefinite-metric vector spaces, is introduced. The algebra of FP (anti)ghosts in string theory is embedded into the pseudo Cuntz algebra recursively in two different ways. Restricting a certain permutation representation of the pseudo Cuntz algebra, representations of these two recursive FP ghost systems are obtained. With respect to the zero-mode operators of FP (anti)ghosts, it is shown that one corresponds to the four-dimensional representation found recently by one of the present authors (M.A.) and Nakanishi, while the other corresponds to the two-dimensional one by Kato and Ogawa.
|
hep-th/9206058
|
Husain Viqar
|
Viqar Husain
|
Ashtekar variables, self-dual metrics and w-infinity
|
8 pages (plain tex), (revised and expanded)
|
Class.Quant.Grav.10:543-550,1993
|
10.1088/0264-9381/10/3/014
|
IC/92/103
|
hep-th
| null |
The self-duality equations for the Riemann tensor are studied using the
Ashtekar Hamiltonian formulation for general relativity. These equations may be
written as dynamical equations for three divergence free vector fields on a
three dimensional surface in the spacetime. A simplified form of these
equations, describing metrics with a one Killing field symmetry are written
down, and it shown that a particular sector of these equations has a
Hamiltonian form where the Hamiltonian is an arbitrary function on a
two-surface. In particular, any element of the $w_\infty$ algebra may be chosen
as a the Hamiltonian. For a special choice of this Hamiltonian, an infinite set
of solutions of the self-duality equations are given. These solutions are
parametrized by elements of the $w_\infty$ algebra, which in turn leads to an
explicit form of four dimensional complex self-dual metrics that are in one to
one correspondence with elements of this algebra.
|
[
{
"created": "Sat, 13 Jun 1992 14:25:37 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 1992 15:33:43 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Sep 1992 13:23:30 GMT",
"version": "v3"
}
] |
2010-04-06
|
[
[
"Husain",
"Viqar",
""
]
] |
The self-duality equations for the Riemann tensor are studied using the Ashtekar Hamiltonian formulation for general relativity. These equations may be written as dynamical equations for three divergence free vector fields on a three dimensional surface in the spacetime. A simplified form of these equations, describing metrics with a one Killing field symmetry are written down, and it shown that a particular sector of these equations has a Hamiltonian form where the Hamiltonian is an arbitrary function on a two-surface. In particular, any element of the $w_\infty$ algebra may be chosen as a the Hamiltonian. For a special choice of this Hamiltonian, an infinite set of solutions of the self-duality equations are given. These solutions are parametrized by elements of the $w_\infty$ algebra, which in turn leads to an explicit form of four dimensional complex self-dual metrics that are in one to one correspondence with elements of this algebra.
|
0905.4447
|
Maxim Zabzine
|
Joel Ekstrand, Reimundo Heluani, Johan Kallen and Maxim Zabzine
|
Non-linear sigma models via the chiral de Rham complex
|
30 pages
|
Adv.Theor.Math.Phys.13:1221-1254,2009
| null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a physical interpretation of the chiral de Rham complex as a
formal Hamiltonian quantization of the supersymmetric non-linear sigma model.
We show that the chiral de Rham complex on a Calabi-Yau manifold carries all
information about the classical dynamics of the sigma model. Physically, this
provides an operator realization of the non-linear sigma model. Mathematically,
the idea suggests the use of Hamiltonian flow equations within the vertex
algebra formalism with the possibility to incorporate both left and right
moving sectors within one mathematical framework.
|
[
{
"created": "Wed, 27 May 2009 15:20:19 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 2009 11:54:41 GMT",
"version": "v2"
}
] |
2010-07-14
|
[
[
"Ekstrand",
"Joel",
""
],
[
"Heluani",
"Reimundo",
""
],
[
"Kallen",
"Johan",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We propose a physical interpretation of the chiral de Rham complex as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model. We show that the chiral de Rham complex on a Calabi-Yau manifold carries all information about the classical dynamics of the sigma model. Physically, this provides an operator realization of the non-linear sigma model. Mathematically, the idea suggests the use of Hamiltonian flow equations within the vertex algebra formalism with the possibility to incorporate both left and right moving sectors within one mathematical framework.
|
1104.2021
|
Yu-tin Huang
|
Yu-tin Huang
|
Non-Chiral S-Matrix of N=4 Super Yang-Mills
|
30 pages, 2 figures
| null | null |
UCLA-TEP-11-106 NSF-KITP-11-048
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the construction of non-chiral S-matrix of four-dimensional N=4
super Yang-Mills using a non-chiral superspace. This construction utilizes the
non-chiral representation of dual superconformal symmetry, which is the natural
representation from the point of view of the six-dimensional parent theory. The
superspace in discussion is projective superspace constructed by Hatsuda and
Siegel, and is based on a half coset U(2,2|4)/U(1,1|2)^2_+. We obtain the
non-chiral representation of the five-point and general n-point MHV and
anti-MHV amplitude. The non-chiral formulation can be straightforwardly lifted
to six dimensions, which is equivalent to massive amplitudes in four
dimensions.
|
[
{
"created": "Mon, 11 Apr 2011 18:49:10 GMT",
"version": "v1"
}
] |
2011-04-12
|
[
[
"Huang",
"Yu-tin",
""
]
] |
We discuss the construction of non-chiral S-matrix of four-dimensional N=4 super Yang-Mills using a non-chiral superspace. This construction utilizes the non-chiral representation of dual superconformal symmetry, which is the natural representation from the point of view of the six-dimensional parent theory. The superspace in discussion is projective superspace constructed by Hatsuda and Siegel, and is based on a half coset U(2,2|4)/U(1,1|2)^2_+. We obtain the non-chiral representation of the five-point and general n-point MHV and anti-MHV amplitude. The non-chiral formulation can be straightforwardly lifted to six dimensions, which is equivalent to massive amplitudes in four dimensions.
|
1507.01359
|
Barak Kol
|
Barak Kol
|
Symmetries of Feynman integrals and the Integration By Parts method
|
16 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Integration By Parts (IBP) is an important method for computing Feynman
integrals. This work describes a formulation of the theory involving a set of
differential equations in parameter space, and especially the definition and
study of an associated Lie group G. The group acts on parameter space and
foliates it into G-orbits. The differential equations essentially provide the
gradient of the integral within the orbit in terms of integrals associated with
degenerate diagrams. In this way the computation of a Feynman integral at a
general point in parameter space is reduced to the evaluation of the Feynman
integral at some freely chosen base point on the same orbit, together with a
line integral inside the G-orbit and the degenerate integrals along the path.
This paper restricts to vacuum diagrams and integrals without numerators, but
the method is expected to generalize. The method is demonstrated by application
to the two-loop vacuum diagram. A relation between the reducibility of a
diagram though IBP and the reducibility of the associated electric circuit
though the Y-Delta transform is speculated.
|
[
{
"created": "Mon, 6 Jul 2015 09:03:04 GMT",
"version": "v1"
}
] |
2015-07-07
|
[
[
"Kol",
"Barak",
""
]
] |
Integration By Parts (IBP) is an important method for computing Feynman integrals. This work describes a formulation of the theory involving a set of differential equations in parameter space, and especially the definition and study of an associated Lie group G. The group acts on parameter space and foliates it into G-orbits. The differential equations essentially provide the gradient of the integral within the orbit in terms of integrals associated with degenerate diagrams. In this way the computation of a Feynman integral at a general point in parameter space is reduced to the evaluation of the Feynman integral at some freely chosen base point on the same orbit, together with a line integral inside the G-orbit and the degenerate integrals along the path. This paper restricts to vacuum diagrams and integrals without numerators, but the method is expected to generalize. The method is demonstrated by application to the two-loop vacuum diagram. A relation between the reducibility of a diagram though IBP and the reducibility of the associated electric circuit though the Y-Delta transform is speculated.
|
hep-th/9507055
| null |
M. Pernici, M. Raciti and F. Riva
|
Renormalization of Matter Field Theories on the Lattice and the Flow
Equation
|
32 pages, Latex
|
Nucl.Phys. B458 (1996) 355-386
|
10.1016/0550-3213(95)00546-3
|
IFUM 484/FT
|
hep-th
| null |
We give a new proof of the renormalizability of a class of matter field
theories on a space-time lattice; in particular we consider $\phi^4$ and
massive Yukawa theories with Wilson fermions. We use the Polchinski approach to
renormalization, which is based on the Wilson flow equation; this approach is
substantially simpler than the BPHZ method, applied to the lattice by Reisz. We
discuss matter theories with staggered fermions. In particular we analyse a
simple kind of staggered fermions with minimal doubling, using which we prove
the renormalizability of a chiral sigma model with exact chiral symmetry on the
lattice.
|
[
{
"created": "Mon, 10 Jul 1995 09:22:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Pernici",
"M.",
""
],
[
"Raciti",
"M.",
""
],
[
"Riva",
"F.",
""
]
] |
We give a new proof of the renormalizability of a class of matter field theories on a space-time lattice; in particular we consider $\phi^4$ and massive Yukawa theories with Wilson fermions. We use the Polchinski approach to renormalization, which is based on the Wilson flow equation; this approach is substantially simpler than the BPHZ method, applied to the lattice by Reisz. We discuss matter theories with staggered fermions. In particular we analyse a simple kind of staggered fermions with minimal doubling, using which we prove the renormalizability of a chiral sigma model with exact chiral symmetry on the lattice.
|
hep-th/9910040
|
Clifford V. Johnson
|
Adel M. Awad and Clifford V. Johnson
|
Holographic Stress Tensors for Kerr-AdS Black Holes
|
9 pages, RevTeX; v5: Note added (as in published PRD version) about
the new stress tensor not having same conserved quantities as old. i.e.,
"improvement" fails. The fascinating reason will be reported on in a separate
publication.)
|
Phys.Rev. D61 (2000) 084025
|
10.1103/PhysRevD.61.084025
|
UK/99-13, IASSNS-HEP-99/88, DTP/99/71
|
hep-th
| null |
We use the counterterm subtraction method to calculate the action and
stress-energy-momentum tensor for the (Kerr) rotating black holes in AdS_{n+1},
for n=2, 3 and 4. We demonstrate that the expressions for the total energy for
the Kerr-AdS_3 and Kerr-AdS_5 spacetimes, in the limit of vanishing black hole
mass, are equal to the Casimir energies of the holographically dual
n-dimensional conformal field theories. In particular, for Kerr-AdS_5, dual to
the case of four dimensional N=4 supersymmetric Yang-Mills theory on the
rotating Einstein universe, we explicitly verify the equality of the zero mass
stress tensor from the two sides of the correspondence, and present the result
for general mass as a prediction from gravity. Amusingly, it is observed in
four dimensions that while the trace of the stress tensor defined using the
standard counterterms does not vanish, its integral does, thereby keeping the
action free of ultraviolet divergences. Using a different regularisation scheme
another stress tensor can be defined, which is traceless.
|
[
{
"created": "Tue, 5 Oct 1999 19:24:54 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 1999 17:37:36 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Feb 2000 16:39:15 GMT",
"version": "v3"
},
{
"created": "Sat, 3 Jun 2000 14:44:13 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Awad",
"Adel M.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] |
We use the counterterm subtraction method to calculate the action and stress-energy-momentum tensor for the (Kerr) rotating black holes in AdS_{n+1}, for n=2, 3 and 4. We demonstrate that the expressions for the total energy for the Kerr-AdS_3 and Kerr-AdS_5 spacetimes, in the limit of vanishing black hole mass, are equal to the Casimir energies of the holographically dual n-dimensional conformal field theories. In particular, for Kerr-AdS_5, dual to the case of four dimensional N=4 supersymmetric Yang-Mills theory on the rotating Einstein universe, we explicitly verify the equality of the zero mass stress tensor from the two sides of the correspondence, and present the result for general mass as a prediction from gravity. Amusingly, it is observed in four dimensions that while the trace of the stress tensor defined using the standard counterterms does not vanish, its integral does, thereby keeping the action free of ultraviolet divergences. Using a different regularisation scheme another stress tensor can be defined, which is traceless.
|
2211.04431
|
Nicolas Pavao
|
John Joseph M. Carrasco, Nicolas H. Pavao
|
Virtues of a symmetric-structure double copy
|
v2: Matches version accepted for publication. v1: 8 pages
| null |
10.1103/PhysRevD.107.065005
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We demonstrate a physical motivation for extending color-dual or BCJ
double-copy construction to include theories with kinematic numerators that
obey the same algebraic relations as symmetric structure constants,
$d^{abc}=\text{Tr}[\{T^{a},T^{b}\}T^c]$. We verify that $U(N_c)$ nonlinear
sigma model (NLSM) pions, long known to be color-dual in terms of antisymmetric
adjoint factors, $f^{abc}$, are also color-dual in the sense of symmetric color
structures, $d^{abc}$, explicitly through six-point scattering. This reframing
of NLSM pion amplitudes complements our compositional construction of $d^{abc}$
color-dual higher derivative gauge operators. With adjoint and symmetric
color-dual kinematics, we can span all four-point effective photon operators
via a double-copy construction using amplitudes from physical theories. We
further comment on a tension between locality and adjoint effective numerators,
and the implications for spanning gravitational effective operators with
non-adjoint kinematics.
|
[
{
"created": "Tue, 8 Nov 2022 18:17:16 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2023 19:41:20 GMT",
"version": "v2"
}
] |
2023-10-10
|
[
[
"Carrasco",
"John Joseph M.",
""
],
[
"Pavao",
"Nicolas H.",
""
]
] |
We demonstrate a physical motivation for extending color-dual or BCJ double-copy construction to include theories with kinematic numerators that obey the same algebraic relations as symmetric structure constants, $d^{abc}=\text{Tr}[\{T^{a},T^{b}\}T^c]$. We verify that $U(N_c)$ nonlinear sigma model (NLSM) pions, long known to be color-dual in terms of antisymmetric adjoint factors, $f^{abc}$, are also color-dual in the sense of symmetric color structures, $d^{abc}$, explicitly through six-point scattering. This reframing of NLSM pion amplitudes complements our compositional construction of $d^{abc}$ color-dual higher derivative gauge operators. With adjoint and symmetric color-dual kinematics, we can span all four-point effective photon operators via a double-copy construction using amplitudes from physical theories. We further comment on a tension between locality and adjoint effective numerators, and the implications for spanning gravitational effective operators with non-adjoint kinematics.
|
1304.6444
|
Dejan Stojkovic
|
Dejan Stojkovic
|
Vanishing dimensions: theory and phenomenology
|
Invited talk given at BSI2012, based on the following publications:
Phys.Rev.Lett. 106 (2011) 101101, Phys.Rev.Lett. 107 (2011) 169002, Phys.Rev.
D83 (2011) 114046, Mod.Phys.Lett. A27 (2012) 1250021
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lower-dimensionality at higher energies has manifold theoretical advantages
as recently pointed out. Moreover, it appears that experimental evidence may
already exists for it - a statistically significant planar alignment of events
with energies higher than TeV has been observed in some earlier cosmic ray
experiments. If this alignment is not a fluke, then the LHC should be able to
see effects associated with the dimensional crossover. Further,
(2+1)-dimensional spacetimes have no gravitational degrees of freedom, and
gravity waves cannot be produced in that epoch in the early universe. This
places a universal maximum frequency at which primordial gravity waves can
propagate, which may be accessible to future gravitational wave detectors such
as LISA. In this talk, the theoretical motivation for "vanishing dimensions" as
well as generic experimental and observational signature will be discussed.
|
[
{
"created": "Tue, 23 Apr 2013 23:49:20 GMT",
"version": "v1"
}
] |
2013-04-25
|
[
[
"Stojkovic",
"Dejan",
""
]
] |
Lower-dimensionality at higher energies has manifold theoretical advantages as recently pointed out. Moreover, it appears that experimental evidence may already exists for it - a statistically significant planar alignment of events with energies higher than TeV has been observed in some earlier cosmic ray experiments. If this alignment is not a fluke, then the LHC should be able to see effects associated with the dimensional crossover. Further, (2+1)-dimensional spacetimes have no gravitational degrees of freedom, and gravity waves cannot be produced in that epoch in the early universe. This places a universal maximum frequency at which primordial gravity waves can propagate, which may be accessible to future gravitational wave detectors such as LISA. In this talk, the theoretical motivation for "vanishing dimensions" as well as generic experimental and observational signature will be discussed.
|
1606.01653
|
Yutaka Yoshida
|
Yuto Ito and Yutaka Yoshida
|
Superconformal index with surface defects for class ${\cal S}_k$
|
26 pages
|
Nucl.Phys.B 962 (2021) 115277
|
10.1016/j.nuclphysb.2020.115277
|
KIAS-P16040
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study surface defects in 4d $\mathcal{N}=1$ $SU(N)$ superconformal gauge
theories of class $\mathcal{S}_k$ obtained from the 6d (1,0) theories of type
$A_{N-1}$, which are worldvolume theories on $N$ M5-branes at
$\mathbb{C}^2/\mathbb{Z}_k$ singularities, compactified on Riemann surfaces
with punctures. First we apply a method based on Riemann surface description
and obtain the superconformal index of the theories in the presence of surface
defects labelled by arbitrary symmetric representations of $su(N)$. Then we
propose another description for the same surface defects, which involves 4d-2d
coupled systems, by identifying which 2d $\mathcal{N}=(0,2)$ theories should be
coupled. We compute the index of the 4d-2d systems and reproduce the results
obtained from the first method. Finally we study the 2d TQFT structure of the
index for class $\mathcal{S}_{k}$ theories by obtaining several eigenfunctions
and eigenvalues of the difference operators that capture the surface defects
and checking their relation.
|
[
{
"created": "Mon, 6 Jun 2016 08:26:40 GMT",
"version": "v1"
}
] |
2021-01-01
|
[
[
"Ito",
"Yuto",
""
],
[
"Yoshida",
"Yutaka",
""
]
] |
We study surface defects in 4d $\mathcal{N}=1$ $SU(N)$ superconformal gauge theories of class $\mathcal{S}_k$ obtained from the 6d (1,0) theories of type $A_{N-1}$, which are worldvolume theories on $N$ M5-branes at $\mathbb{C}^2/\mathbb{Z}_k$ singularities, compactified on Riemann surfaces with punctures. First we apply a method based on Riemann surface description and obtain the superconformal index of the theories in the presence of surface defects labelled by arbitrary symmetric representations of $su(N)$. Then we propose another description for the same surface defects, which involves 4d-2d coupled systems, by identifying which 2d $\mathcal{N}=(0,2)$ theories should be coupled. We compute the index of the 4d-2d systems and reproduce the results obtained from the first method. Finally we study the 2d TQFT structure of the index for class $\mathcal{S}_{k}$ theories by obtaining several eigenfunctions and eigenvalues of the difference operators that capture the surface defects and checking their relation.
|
2401.01897
|
Giacomo Brunello
|
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti, Hjalte
Frellesvig, Manoj K. Mandal, Pierpaolo Mastrolia
|
Intersection Numbers, Polynomial Division and Relative Cohomology
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present a simplification of the recursive algorithm for the evaluation of
intersection numbers for differential $n$-forms, by combining the advantages
emerging from the choice of delta-forms as generators of relative twisted
cohomology groups and the polynomial division technique, recently proposed in
the literature. We show that delta-forms capture the leading behaviour of the
intersection numbers in presence of evanescent analytic regulators, whose use
is, therefore, bypassed. This simplified algorithm is applied to derive the
complete decomposition of two-loop planar and non-planar Feynman integrals in
terms of a master integral basis. More generally, it can be applied to derive
relations among twisted period integrals, relevant for physics and mathematical
studies.
|
[
{
"created": "Mon, 6 Nov 2023 11:21:08 GMT",
"version": "v1"
}
] |
2024-01-05
|
[
[
"Brunello",
"Giacomo",
""
],
[
"Chestnov",
"Vsevolod",
""
],
[
"Crisanti",
"Giulio",
""
],
[
"Frellesvig",
"Hjalte",
""
],
[
"Mandal",
"Manoj K.",
""
],
[
"Mastrolia",
"Pierpaolo",
""
]
] |
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential $n$-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the polynomial division technique, recently proposed in the literature. We show that delta-forms capture the leading behaviour of the intersection numbers in presence of evanescent analytic regulators, whose use is, therefore, bypassed. This simplified algorithm is applied to derive the complete decomposition of two-loop planar and non-planar Feynman integrals in terms of a master integral basis. More generally, it can be applied to derive relations among twisted period integrals, relevant for physics and mathematical studies.
|
hep-th/0608084
|
Akira Kokado
|
Akira Kokado, Gaku Konisi and Takesi Saito
|
Spectrum-Generating Algebra for Charged Strings
|
6 pages
| null | null | null |
hep-th
| null |
When an open string ends with charges on a D2-brane, which involves constant
background magnetic field perpendicular to the brane, we construct the
spectrum-generating algebra for this charged string, which assures that our
system is ghost-free under some conditions. The application to the Hall effect
for charged strings is also shortly remarked.
|
[
{
"created": "Sun, 13 Aug 2006 15:22:24 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2006 15:09:40 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Kokado",
"Akira",
""
],
[
"Konisi",
"Gaku",
""
],
[
"Saito",
"Takesi",
""
]
] |
When an open string ends with charges on a D2-brane, which involves constant background magnetic field perpendicular to the brane, we construct the spectrum-generating algebra for this charged string, which assures that our system is ghost-free under some conditions. The application to the Hall effect for charged strings is also shortly remarked.
|
hep-th/9506025
|
Qw
|
J.E.Paschalis and P.I.Porfyriadis
|
Hamiltonian reduction of the $U_{EM}(1)$ gauged three flavour WZW model
|
11 pages, LaTex
|
Z.Phys. C70 (1996) 173-178
| null |
THES-TP 95/05
|
hep-th hep-ph
| null |
The three-flavour Wess-Zumino model coupled to electromagnetism is treated as
a constraint system using the Faddeev-Jackiw method. Expanding into series of
powers of the Goldstone boson fields and keeping terms up to second and third
order we obtain Coulomb-gauge hamiltonian densities.
|
[
{
"created": "Mon, 5 Jun 1995 11:55:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Paschalis",
"J. E.",
""
],
[
"Porfyriadis",
"P. I.",
""
]
] |
The three-flavour Wess-Zumino model coupled to electromagnetism is treated as a constraint system using the Faddeev-Jackiw method. Expanding into series of powers of the Goldstone boson fields and keeping terms up to second and third order we obtain Coulomb-gauge hamiltonian densities.
|
1406.4536
|
Mirjam Cvetic
|
Mirjam Cvetic and Finn Larsen
|
Black Holes with Intrinsic Spin
|
36 pg, harvmac
| null |
10.1007/JHEP11(2014)033
|
UPR-1260-T
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the general black hole solutions to the four dimensional STU model
recently constructed by Chow and Compere. We define a dilute gas limit where
the black holes can be interpreted as excited states of an extremal ground
state. In this limit we express the black hole entropy and the excitation
energy in terms of physical quantities with no need for parametric charges. We
discuss a dual microscopic CFT description that incorporates all electric and
magnetic charges. This description is recovered geometrically by identification
of a near horizon BTZ region. We construct the subtracted geometry with no
restrictions on charges by analyzing the scalar wave equation in the full
geometry. We determine the matter sources that support the subtracted geometry
by studying a scaling limit and show that the general geometry permits a dilute
gas description with parameters that we specify.
|
[
{
"created": "Tue, 17 Jun 2014 20:49:42 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Larsen",
"Finn",
""
]
] |
We analyze the general black hole solutions to the four dimensional STU model recently constructed by Chow and Compere. We define a dilute gas limit where the black holes can be interpreted as excited states of an extremal ground state. In this limit we express the black hole entropy and the excitation energy in terms of physical quantities with no need for parametric charges. We discuss a dual microscopic CFT description that incorporates all electric and magnetic charges. This description is recovered geometrically by identification of a near horizon BTZ region. We construct the subtracted geometry with no restrictions on charges by analyzing the scalar wave equation in the full geometry. We determine the matter sources that support the subtracted geometry by studying a scaling limit and show that the general geometry permits a dilute gas description with parameters that we specify.
|
1511.08223
|
Yi Pang
|
Yi Pang, Junchen Rong
|
Evidence for the Holographic dual of ${\cal N}=3$ Solution in Massive
Type IIA
|
typos in appendix are corrected
|
Phys. Rev. D 93, 065038 (2016)
|
10.1103/PhysRevD.93.065038
|
MI-TH-1542
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the Kaluza-Klein spectrum of spin-2 fluctuations around the
${\cal N}=3$ warped ${\rm AdS}_4\times M_6$ solution in massive IIA
supergravity. This solution was conjectured to be dual to the $D=3$ ${\cal
N}=3$ superconformal ${\rm SU}(N)$ Chern-Simons matter theory with level $k$
and 2 adjoint chiral multiplets. The ${\rm SO}(3)_R\times{\rm SO}(3)_D$
isometry of the ${\cal N}=3$ solution is identified with the ${\rm
SU}(2)_F\times {\rm SU}(2)_{\cal R}$ global symmetry of the dual ${\cal N}=3$
SCFT. We show that the ${\rm SO}(3)_R\times{\rm SO}(3)_D$ quantum numbers and
the ${\rm AdS}$ energies carried by the BPS spin-2 modes match precisely with
those of the spin-2 gauge invariant operators in the short multiplets of
operators in the ${\cal N}=3$ SCFT. We also compute the Euclidean action of the
${\cal N}=3$ solution and the free energy of the ${\cal N}=3$ SCFT on $S^3$, in
the limit $N\gg k$. Remarkably, the results show a complete agreement.
|
[
{
"created": "Wed, 25 Nov 2015 21:02:18 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 2015 20:43:31 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Dec 2015 18:44:21 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Mar 2016 04:50:26 GMT",
"version": "v4"
},
{
"created": "Fri, 1 Nov 2019 14:11:12 GMT",
"version": "v5"
}
] |
2019-11-04
|
[
[
"Pang",
"Yi",
""
],
[
"Rong",
"Junchen",
""
]
] |
We calculate the Kaluza-Klein spectrum of spin-2 fluctuations around the ${\cal N}=3$ warped ${\rm AdS}_4\times M_6$ solution in massive IIA supergravity. This solution was conjectured to be dual to the $D=3$ ${\cal N}=3$ superconformal ${\rm SU}(N)$ Chern-Simons matter theory with level $k$ and 2 adjoint chiral multiplets. The ${\rm SO}(3)_R\times{\rm SO}(3)_D$ isometry of the ${\cal N}=3$ solution is identified with the ${\rm SU}(2)_F\times {\rm SU}(2)_{\cal R}$ global symmetry of the dual ${\cal N}=3$ SCFT. We show that the ${\rm SO}(3)_R\times{\rm SO}(3)_D$ quantum numbers and the ${\rm AdS}$ energies carried by the BPS spin-2 modes match precisely with those of the spin-2 gauge invariant operators in the short multiplets of operators in the ${\cal N}=3$ SCFT. We also compute the Euclidean action of the ${\cal N}=3$ solution and the free energy of the ${\cal N}=3$ SCFT on $S^3$, in the limit $N\gg k$. Remarkably, the results show a complete agreement.
|
2206.12538
|
Barak Gabai
|
Minjae Cho, Barak Gabai, Ying-Hsuan Lin, Victor A. Rodriguez, Joshua
Sandor, Xi Yin
|
Bootstrapping the Ising Model on the Lattice
|
27 pages, 11 figures. v2: minor revision, references added
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el hep-lat math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the statistical Ising model of spins on the infinite lattice using a
bootstrap method that combines spin-flip identities with positivity conditions,
including reflection positivity and Griffiths inequalities, to derive rigorous
two-sided bounds on spin correlators through semi-definite programming. For the
2D Ising model on the square lattice, the bootstrap bounds based on correlators
supported in a 13-site diamond-shaped region determine the nearest-spin
correlator to within a small window, which for a wide range of coupling and
magnetic field is narrower than the precision attainable with Monte Carlo
methods. We also report preliminary results of the bootstrap bounds for the 3D
Ising model on the cubic lattice.
|
[
{
"created": "Sat, 25 Jun 2022 02:31:47 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2022 17:48:34 GMT",
"version": "v2"
}
] |
2022-07-04
|
[
[
"Cho",
"Minjae",
""
],
[
"Gabai",
"Barak",
""
],
[
"Lin",
"Ying-Hsuan",
""
],
[
"Rodriguez",
"Victor A.",
""
],
[
"Sandor",
"Joshua",
""
],
[
"Yin",
"Xi",
""
]
] |
We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that combines spin-flip identities with positivity conditions, including reflection positivity and Griffiths inequalities, to derive rigorous two-sided bounds on spin correlators through semi-definite programming. For the 2D Ising model on the square lattice, the bootstrap bounds based on correlators supported in a 13-site diamond-shaped region determine the nearest-spin correlator to within a small window, which for a wide range of coupling and magnetic field is narrower than the precision attainable with Monte Carlo methods. We also report preliminary results of the bootstrap bounds for the 3D Ising model on the cubic lattice.
|
2005.12930
|
David Andriot
|
David Andriot, Paul Marconnet, Timm Wrase
|
New de Sitter solutions of 10d type IIB supergravity
|
28 pages + appendices; v2: minor additions; v3: minor changes,
published version
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find and study 17 new de Sitter solutions of ten-dimensional (10d) type
IIB supergravity with intersecting D5-branes and orientifold O5-planes, as well
as a new Minkowski one. These solutions are obtained numerically on 6d group
manifolds, the compactness of which is established for 4 of them. We show that
all our de Sitter solutions are perturbatively unstable, using a restricted 4d
effective theory of four scalar fields. We finally analyse whether our
solutions can be promoted to classical string backgrounds. Several of them
appear as good candidates, as they satisfy all requirements imposed so far.
|
[
{
"created": "Tue, 26 May 2020 18:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jun 2020 08:09:22 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Aug 2020 09:09:00 GMT",
"version": "v3"
}
] |
2020-08-20
|
[
[
"Andriot",
"David",
""
],
[
"Marconnet",
"Paul",
""
],
[
"Wrase",
"Timm",
""
]
] |
We find and study 17 new de Sitter solutions of ten-dimensional (10d) type IIB supergravity with intersecting D5-branes and orientifold O5-planes, as well as a new Minkowski one. These solutions are obtained numerically on 6d group manifolds, the compactness of which is established for 4 of them. We show that all our de Sitter solutions are perturbatively unstable, using a restricted 4d effective theory of four scalar fields. We finally analyse whether our solutions can be promoted to classical string backgrounds. Several of them appear as good candidates, as they satisfy all requirements imposed so far.
|
1108.0411
|
Masaki Shigemori
|
Iosif Bena, Borun D. Chowdhury, Jan de Boer, Sheer El-Showk and Masaki
Shigemori
|
Moulting Black Holes
|
51 pages, 15 figures. Print in color to enjoy. v2: References added,
clarifications in Introduction, and a new appendix added to explain units and
conventions. v3: the spectral flow argument in section 3 improved
|
JHEP 03, 094 (2012)
|
10.1007/JHEP03(2012)094
|
IPhT-T11/164, ITFA11-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a family of novel supersymmetric phases of the D1-D5 CFT, which in
certain ranges of charges have more entropy than all known ensembles. We also
find bulk BPS configurations that exist in the same range of parameters as
these phases, and have more entropy than a BMPV black hole; they can be thought
of as coming from a BMPV black hole shedding a "hair" condensate outside of the
horizon. The entropy of the bulk configurations is smaller than that of the CFT
phases, which indicates that some of the CFT states are lifted at strong
coupling. Neither the bulk nor the boundary phases are captured by the elliptic
genus, which makes the coincidence of the phase boundaries particularly
remarkable. Our configurations are supersymmetric, have non-Cardy-like entropy,
and are the first instance of a black hole entropy enigma with a controlled CFT
dual. Furthermore, contrary to common lore, these objects exist in a region of
parameter space (between the "cosmic censorship bound" and the "unitarity
bound") where no black holes were thought to exist.
|
[
{
"created": "Mon, 1 Aug 2011 20:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 04:33:48 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Mar 2012 14:47:37 GMT",
"version": "v3"
}
] |
2012-03-30
|
[
[
"Bena",
"Iosif",
""
],
[
"Chowdhury",
"Borun D.",
""
],
[
"de Boer",
"Jan",
""
],
[
"El-Showk",
"Sheer",
""
],
[
"Shigemori",
"Masaki",
""
]
] |
We find a family of novel supersymmetric phases of the D1-D5 CFT, which in certain ranges of charges have more entropy than all known ensembles. We also find bulk BPS configurations that exist in the same range of parameters as these phases, and have more entropy than a BMPV black hole; they can be thought of as coming from a BMPV black hole shedding a "hair" condensate outside of the horizon. The entropy of the bulk configurations is smaller than that of the CFT phases, which indicates that some of the CFT states are lifted at strong coupling. Neither the bulk nor the boundary phases are captured by the elliptic genus, which makes the coincidence of the phase boundaries particularly remarkable. Our configurations are supersymmetric, have non-Cardy-like entropy, and are the first instance of a black hole entropy enigma with a controlled CFT dual. Furthermore, contrary to common lore, these objects exist in a region of parameter space (between the "cosmic censorship bound" and the "unitarity bound") where no black holes were thought to exist.
|
hep-th/0605042
|
Ahmad Sheykhi
|
A. Sheykhi and N. Riazi
|
Charged rotating black holes in dilaton gravity
|
5 pages, to appear in Int. J. Mod. Phys. A
|
Int.J.Mod.Phys.A22:4849-4858,2007
|
10.1142/S0217751X07037032
| null |
hep-th
| null |
We consider charged black holes with curved horizons, in five dimensional
dilaton gravity in the presence of Liouville-type potential for the dilaton
field. We show how, by solving a pair of coupled differential equations,
infinitesimally small angular momentum can be added to these static solutions
to obtain charged rotating dilaton black hole solutions. In the absence of
dilaton field, the non-rotating version of the solution reduces to the five
dimensional Reissner-Nordstr\"{o}m black hole, and the rotating version
reproduces the five dimensional Kerr-Newman modification thereof for small
rotation parameter. We also compute the angular momentum and the angular
velocity of these rotating black holes which appear at the first order.
|
[
{
"created": "Wed, 3 May 2006 15:37:15 GMT",
"version": "v1"
},
{
"created": "Sat, 6 May 2006 09:23:27 GMT",
"version": "v2"
},
{
"created": "Sat, 13 May 2006 07:09:37 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Jun 2006 08:42:19 GMT",
"version": "v4"
},
{
"created": "Sun, 8 Oct 2006 07:45:12 GMT",
"version": "v5"
},
{
"created": "Tue, 10 Jul 2007 06:44:06 GMT",
"version": "v6"
}
] |
2010-11-03
|
[
[
"Sheykhi",
"A.",
""
],
[
"Riazi",
"N.",
""
]
] |
We consider charged black holes with curved horizons, in five dimensional dilaton gravity in the presence of Liouville-type potential for the dilaton field. We show how, by solving a pair of coupled differential equations, infinitesimally small angular momentum can be added to these static solutions to obtain charged rotating dilaton black hole solutions. In the absence of dilaton field, the non-rotating version of the solution reduces to the five dimensional Reissner-Nordstr\"{o}m black hole, and the rotating version reproduces the five dimensional Kerr-Newman modification thereof for small rotation parameter. We also compute the angular momentum and the angular velocity of these rotating black holes which appear at the first order.
|
hep-th/0106243
|
Jesus M. Moreno
|
B. de Carlos, M.B. Hindmarsh, N. McNair, J.M. Moreno
|
BPS Domain Walls in super Yang-Mills and Landau-Ginzburg models
|
24 pages, 13 figures
|
JHEP 0108:056,2001
|
10.1088/1126-6708/2001/08/056
|
IEM-FT-215/01, IFT-UAM/CSIC-01-20, SUSX-TH/01-027
|
hep-th hep-ph
| null |
We study domain walls in two different extensions of super Yang--Mills
characterized by the absence of a logarithmic term in their effective
superpotential. The models, defined by the usual gaugino condensate and an
extra field Y, give different patterns of domain walls despite both leading to
the same effective limit for heavy Y, i.e. the Veneziano--Yankielowicz
effective Lagrangian of super Yang--Mills. We explain the origin of those
differences and also give a physical motivation for introducing the field Y.
|
[
{
"created": "Tue, 26 Jun 2001 18:04:54 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"de Carlos",
"B.",
""
],
[
"Hindmarsh",
"M. B.",
""
],
[
"McNair",
"N.",
""
],
[
"Moreno",
"J. M.",
""
]
] |
We study domain walls in two different extensions of super Yang--Mills characterized by the absence of a logarithmic term in their effective superpotential. The models, defined by the usual gaugino condensate and an extra field Y, give different patterns of domain walls despite both leading to the same effective limit for heavy Y, i.e. the Veneziano--Yankielowicz effective Lagrangian of super Yang--Mills. We explain the origin of those differences and also give a physical motivation for introducing the field Y.
|
2306.04630
|
Marcus Spradlin
|
Lecheng Ren, Marcus Spradlin, Cristian Vergu, Anastasia Volovich
|
One-loop Integrals from Volumes of Orthoschemes
|
20 pages, 1 figure; v2: minor typos corrected and references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of
hyperbolic orthoschemes in terms of alternating polylogarithms. We use this
result to provide an explicit analytic result for the one-loop scalar n-gon
Feynman integral in n dimensions, for even n, with massless or massive internal
and external edges. Furthermore, we evaluate the general six-dimensional
hexagon integral in terms of classical polylogarithms.
|
[
{
"created": "Wed, 7 Jun 2023 17:55:33 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2024 12:25:29 GMT",
"version": "v2"
}
] |
2024-04-15
|
[
[
"Ren",
"Lecheng",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Vergu",
"Cristian",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms.
|
2105.10616
|
Peter Tsimiklis
|
Florian Girelli, Matteo Laudonio, Panagiotis Tsimiklis
|
Polyhedron phase space using 2-groups: kappa-Poincare as a Poisson
2-group
|
54 pages, 21 figures
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We construct a phase space for a three dimensional cellular complex with
decorations on edges and faces using crossed modules (strict 2-groups) equipped
with a (non-trivial) Poisson structure. We do not use the most general crossed
module, but only the ones where the target map (t-map) is trivial. As a
particular case, we recover that deformations of the Poincare group can be
exported to deformations of the Poincare 2-group. The kappa-deformation case
provides a natural candidate for describing discrete geometries with curved
edge decorations (but still flat face decorations). Our construction
generalizes the classical phase space defined in [5] for a 3d triangulation in
terms of an un-deformed Poincare 2-group.
|
[
{
"created": "Sat, 22 May 2021 01:50:06 GMT",
"version": "v1"
}
] |
2021-05-25
|
[
[
"Girelli",
"Florian",
""
],
[
"Laudonio",
"Matteo",
""
],
[
"Tsimiklis",
"Panagiotis",
""
]
] |
We construct a phase space for a three dimensional cellular complex with decorations on edges and faces using crossed modules (strict 2-groups) equipped with a (non-trivial) Poisson structure. We do not use the most general crossed module, but only the ones where the target map (t-map) is trivial. As a particular case, we recover that deformations of the Poincare group can be exported to deformations of the Poincare 2-group. The kappa-deformation case provides a natural candidate for describing discrete geometries with curved edge decorations (but still flat face decorations). Our construction generalizes the classical phase space defined in [5] for a 3d triangulation in terms of an un-deformed Poincare 2-group.
|
hep-th/9305027
|
John P. Harnad
|
J. Harnad and M.-A. Wisse
|
Loop Algebra Moment Maps and Hamiltonian Models for the Painleve
Transcendants
|
14 pgs, preprint CRM-1878 (1993) (title corrected)
|
Fields Inst. Commun. 7, 155-169 (1996)
| null | null |
hep-th nlin.SI solv-int
| null |
The isomonodromic deformations underlying the Painlev\'e transcendants are
interpreted as nonautonomous Hamiltonian systems in the dual $\gR^*$ of a loop
algebra $\tilde\grg$ in the classical $R$-matrix framework. It is shown how
canonical coordinates on symplectic vector spaces of dimensions four or six
parametrize certain rational coadjoint orbits in $\gR^*$ via a moment map
embedding. The Hamiltonians underlying the Painlev\'e transcendants are
obtained by pulling back elements of the ring of spectral invariants. These are
shown to determine simple Hamiltonian systems within the underlying symplectic
vector space.
|
[
{
"created": "Fri, 7 May 1993 14:59:17 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 1993 02:45:56 GMT",
"version": "v2"
},
{
"created": "Wed, 12 May 1993 02:35:53 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Harnad",
"J.",
""
],
[
"Wisse",
"M. -A.",
""
]
] |
The isomonodromic deformations underlying the Painlev\'e transcendants are interpreted as nonautonomous Hamiltonian systems in the dual $\gR^*$ of a loop algebra $\tilde\grg$ in the classical $R$-matrix framework. It is shown how canonical coordinates on symplectic vector spaces of dimensions four or six parametrize certain rational coadjoint orbits in $\gR^*$ via a moment map embedding. The Hamiltonians underlying the Painlev\'e transcendants are obtained by pulling back elements of the ring of spectral invariants. These are shown to determine simple Hamiltonian systems within the underlying symplectic vector space.
|
1007.0401
|
Jurgen Fuchs
|
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
|
The classifying algebra for defects
|
47 pages, several figures. v2: ref. [13] added; comparison of results
with those of ref. [18] added (pages 15 and 34) v3: comment on the folding
trick added at the end of section 2, typos corrected
|
Nucl.Phys.B843:673-723,2011
|
10.1016/j.nuclphysb.2010.10.008
|
ZMP-HH/10-17, Hamburger Beitr. zur Mathematik Nr. 384
|
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that topological defects in a rational conformal field theory
can be described by a classifying algebra for defects - a finite-dimensional
semisimple unital commutative associative algebra whose irreducible
representations give the defect transmission coefficients. We show in
particular that the structure constants of the classifying algebra are traces
of operators on spaces of conformal blocks and that the defect transmission
coefficients determine the defect partition functions.
|
[
{
"created": "Fri, 2 Jul 2010 17:08:10 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Aug 2010 08:40:56 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2010 18:57:54 GMT",
"version": "v3"
}
] |
2010-11-23
|
[
[
"Fuchs",
"Jurgen",
""
],
[
"Schweigert",
"Christoph",
""
],
[
"Stigner",
"Carl",
""
]
] |
We demonstrate that topological defects in a rational conformal field theory can be described by a classifying algebra for defects - a finite-dimensional semisimple unital commutative associative algebra whose irreducible representations give the defect transmission coefficients. We show in particular that the structure constants of the classifying algebra are traces of operators on spaces of conformal blocks and that the defect transmission coefficients determine the defect partition functions.
|
hep-th/9705030
|
Julie Blum
|
Julie D. Blum and Kenneth Intriligator
|
Consistency Conditions for Branes at Orbifold Singularities
|
harvmac, 14 pages, added references
|
Nucl.Phys.B506:223-235,1997
|
10.1016/S0550-3213(97)00450-1
|
IASSNS-HEP-97/39
|
hep-th
| null |
We discuss consistency conditions for branes at orbifold singularities. The
conditions have a world-sheet interpretation in terms of tadpole cancellation
and a space-time interpretation in terms of anomalies. As examples, we consider
type II and type I branes on $C^2/Z_M$ orbifolds. We give orientifold
constructions of phases of type I or heterotic string theory, involving
branches with extra tensor multiplets, which arise when small SO(32) instantons
sit on orbifold singularities.
|
[
{
"created": "Mon, 5 May 1997 22:50:13 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 1997 18:56:11 GMT",
"version": "v2"
}
] |
2009-08-18
|
[
[
"Blum",
"Julie D.",
""
],
[
"Intriligator",
"Kenneth",
""
]
] |
We discuss consistency conditions for branes at orbifold singularities. The conditions have a world-sheet interpretation in terms of tadpole cancellation and a space-time interpretation in terms of anomalies. As examples, we consider type II and type I branes on $C^2/Z_M$ orbifolds. We give orientifold constructions of phases of type I or heterotic string theory, involving branches with extra tensor multiplets, which arise when small SO(32) instantons sit on orbifold singularities.
|
1007.2335
|
Paul Sutcliffe
|
Mike Gillard and Paul Sutcliffe
|
Hopf solitons in the Nicole model
|
11 pages, 2 figures
|
J. Math. Phys. 51:122305,2010
|
10.1063/1.3525805
|
DCPT-10/25
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Nicole model is a conformal field theory in three-dimensional space. It
has topological soliton solutions classified by the integer-valued Hopf charge,
and all currently known solitons are axially symmetric. A volume-preserving
flow is used to numerically construct soliton solutions for all Hopf charges
from one to eight. It is found that the known axially symmetric solutions are
unstable for Hopf charges greater than two and new lower energy solutions are
obtained that include knots and links. A comparison with the Skyrme-Faddeev
model suggests many universal features, though there are some differences in
the link types obtained in the two theories.
|
[
{
"created": "Wed, 14 Jul 2010 14:01:43 GMT",
"version": "v1"
}
] |
2011-04-07
|
[
[
"Gillard",
"Mike",
""
],
[
"Sutcliffe",
"Paul",
""
]
] |
The Nicole model is a conformal field theory in three-dimensional space. It has topological soliton solutions classified by the integer-valued Hopf charge, and all currently known solitons are axially symmetric. A volume-preserving flow is used to numerically construct soliton solutions for all Hopf charges from one to eight. It is found that the known axially symmetric solutions are unstable for Hopf charges greater than two and new lower energy solutions are obtained that include knots and links. A comparison with the Skyrme-Faddeev model suggests many universal features, though there are some differences in the link types obtained in the two theories.
|
0904.0370
|
Claudio Scrucca
|
Leonardo Brizi, Marta Gomez-Reino, Claudio A. Scrucca
|
Globally and locally supersymmetric effective theories for light fields
|
25 pages; v2 minor corrections and references added
|
Nucl.Phys.B820:193-212,2009
|
10.1016/j.nuclphysb.2009.05.015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reconsider the general question of how to characterize most efficiently
the low-energy effective theory obtained by integrating out heavy modes in
globally and locally supersymmetric theories. We consider theories with chiral
and vector multiplets and identify the conditions under which an approximately
supersymmetric low-energy effective theory can exist. These conditions
translate into the requirements that all the derivatives, fermions and
auxiliary fields should be small in units of the heavy mass scale. They apply
not only to the matter sector, but also to the gravitational one if present,
and imply in that case that the gravitino mass should be small. We then show
how to determine the unique exactly supersymmetric theory that approximates
this effective theory at the lowest order in the counting of derivatives,
fermions and auxiliary fields, by working both at the superfield level and with
component fields. As a result we give a simple prescription for integrating out
heavy superfields in an algebraic and manifestly supersymmetric way, which
turns out to hold in the same form both for globally and locally supersymmetric
theories, meaning that the process of integrating out heavy modes commutes with
the process of switching on gravity. More precisely, for heavy chiral and
vector multiplets one has to impose respectively stationarity of the
superpotential and the Kahler potential.
|
[
{
"created": "Thu, 2 Apr 2009 12:02:18 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2009 14:07:59 GMT",
"version": "v2"
}
] |
2009-07-22
|
[
[
"Brizi",
"Leonardo",
""
],
[
"Gomez-Reino",
"Marta",
""
],
[
"Scrucca",
"Claudio A.",
""
]
] |
We reconsider the general question of how to characterize most efficiently the low-energy effective theory obtained by integrating out heavy modes in globally and locally supersymmetric theories. We consider theories with chiral and vector multiplets and identify the conditions under which an approximately supersymmetric low-energy effective theory can exist. These conditions translate into the requirements that all the derivatives, fermions and auxiliary fields should be small in units of the heavy mass scale. They apply not only to the matter sector, but also to the gravitational one if present, and imply in that case that the gravitino mass should be small. We then show how to determine the unique exactly supersymmetric theory that approximates this effective theory at the lowest order in the counting of derivatives, fermions and auxiliary fields, by working both at the superfield level and with component fields. As a result we give a simple prescription for integrating out heavy superfields in an algebraic and manifestly supersymmetric way, which turns out to hold in the same form both for globally and locally supersymmetric theories, meaning that the process of integrating out heavy modes commutes with the process of switching on gravity. More precisely, for heavy chiral and vector multiplets one has to impose respectively stationarity of the superpotential and the Kahler potential.
|
hep-th/9401134
|
Miao Li
|
Miao Li and Chung-I Tan
|
High energy scattering in 2+1 QCD
|
20 pages, references added
|
Phys. Rev. D 50, 1140 (1994)
|
10.1103/PhysRevD.50.1140
| null |
hep-th hep-ph
| null |
High energy scattering in 2+1 QCD is studied using the recent approach of
Verlinde and Verlinde. We calculate the color singlet part of the quark-quark
scattering exactly within this approach, and discuss some physical implication
of this result. We also demonstrate, by two independent methods, that
reggeization fails for the color singlet channel. We briefly comment on the
problem in 3+1 QCD.
|
[
{
"created": "Wed, 26 Jan 1994 22:15:16 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Feb 1994 02:34:20 GMT",
"version": "v2"
}
] |
2013-11-13
|
[
[
"Li",
"Miao",
""
],
[
"Tan",
"Chung-I",
""
]
] |
High energy scattering in 2+1 QCD is studied using the recent approach of Verlinde and Verlinde. We calculate the color singlet part of the quark-quark scattering exactly within this approach, and discuss some physical implication of this result. We also demonstrate, by two independent methods, that reggeization fails for the color singlet channel. We briefly comment on the problem in 3+1 QCD.
|
hep-th/9804041
|
Tsunehide Kuroki
|
Tsunehide Kuroki
|
Master Field on Fuzzy Sphere
|
21 pages, LaTex, no figures
|
Nucl.Phys. B543 (1999) 466-484
|
10.1016/S0550-3213(98)00815-3
|
UT-Komaba/98-9
|
hep-th
| null |
The O(N) symmetric vector model is considered on both ordinary and fuzzy
sphere. It is shown that in both cases master fields exist and their explicit
forms are presented. They are found to mix the internal symmetry and the
(fuzzy) space-time symmetry. It is also argued that the cutoff brought by the
fuzzy sphere plays an essential role in constructing the master field.
|
[
{
"created": "Mon, 6 Apr 1998 10:59:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kuroki",
"Tsunehide",
""
]
] |
The O(N) symmetric vector model is considered on both ordinary and fuzzy sphere. It is shown that in both cases master fields exist and their explicit forms are presented. They are found to mix the internal symmetry and the (fuzzy) space-time symmetry. It is also argued that the cutoff brought by the fuzzy sphere plays an essential role in constructing the master field.
|
1509.05561
|
Stepan Sidorov Mr.
|
E. Ivanov and S. Sidorov
|
Long multiplets in supersymmetric mechanics
|
1 + 19 pages, new comments added, typos corrected, published version
| null |
10.1103/PhysRevD.93.065052
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The "long" indecomposable N=2, d=1 multiplet (2, 4, 2) defined in
arXiv:1503.05537 [hep-th] as a deformation of the pair of chiral multiplets (2,
2, 0) and (0, 2, 2) by a number of the mass-dimension parameters is described
in the superfield approach. We present its most general superfield and
component actions, as well as a generalization to the case with the superfields
of the opposite Grassmann parities and dimensionless deformation parameter. We
show that the long N=2, d=1 multiplets are naturally embedded into the chiral
SU(2|1), d=1 superfields having nonzero external spins with respect to SU(2)
\subset SU(2|1). A superfield with spin s contains 2s long multiplets and two
short multiplets (2, 2, 0) and (0, 2, 2). Two possible N=4, d=1 generalizations
of the N=2 long multiplet in the superfield approach are also proposed.
|
[
{
"created": "Fri, 18 Sep 2015 09:30:48 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2015 15:46:34 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Mar 2016 11:27:28 GMT",
"version": "v3"
}
] |
2016-04-20
|
[
[
"Ivanov",
"E.",
""
],
[
"Sidorov",
"S.",
""
]
] |
The "long" indecomposable N=2, d=1 multiplet (2, 4, 2) defined in arXiv:1503.05537 [hep-th] as a deformation of the pair of chiral multiplets (2, 2, 0) and (0, 2, 2) by a number of the mass-dimension parameters is described in the superfield approach. We present its most general superfield and component actions, as well as a generalization to the case with the superfields of the opposite Grassmann parities and dimensionless deformation parameter. We show that the long N=2, d=1 multiplets are naturally embedded into the chiral SU(2|1), d=1 superfields having nonzero external spins with respect to SU(2) \subset SU(2|1). A superfield with spin s contains 2s long multiplets and two short multiplets (2, 2, 0) and (0, 2, 2). Two possible N=4, d=1 generalizations of the N=2 long multiplet in the superfield approach are also proposed.
|
1812.00649
|
Qiyuan Pan
|
Manman Sun, Dong Wang, Qiyuan Pan, and Jiliang Jing
|
Generalized superconductors from the coupling of a scalar field to the
Einstein tensor and their refractive index in massive gravity
|
20 pages, 12 figures
|
Eur. Phys. J. C 79, 145 (2019)
|
10.1140/epjc/s10052-019-6637-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the generalized superconductors from the coupling of a scalar
field to the Einstein tensor in the massive gravity and investigate their
negative refraction in the probe limit. We observe that the larger graviton
mass and Einstein tensor coupling parameters both hinder the formation of the
condensation, but the larger graviton mass or smaller coupling parameter makes
it easier for the emergence of the Cave of Winds. Furthermore, we see that the
larger graviton mass but smaller coupling parameter make the range of
frequencies or the range of temperatures larger for which a negative
Depine-Lakhtakia index occurs, which indicates that the graviton mass and
Einstein tensor have completely different effects on the negative refraction.
In addition, we find that the larger graviton mass and coupling parameters both
can reduce the dissipation and improve the propagation in the holographic
setup.
|
[
{
"created": "Mon, 3 Dec 2018 10:36:03 GMT",
"version": "v1"
}
] |
2020-01-24
|
[
[
"Sun",
"Manman",
""
],
[
"Wang",
"Dong",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Jing",
"Jiliang",
""
]
] |
We construct the generalized superconductors from the coupling of a scalar field to the Einstein tensor in the massive gravity and investigate their negative refraction in the probe limit. We observe that the larger graviton mass and Einstein tensor coupling parameters both hinder the formation of the condensation, but the larger graviton mass or smaller coupling parameter makes it easier for the emergence of the Cave of Winds. Furthermore, we see that the larger graviton mass but smaller coupling parameter make the range of frequencies or the range of temperatures larger for which a negative Depine-Lakhtakia index occurs, which indicates that the graviton mass and Einstein tensor have completely different effects on the negative refraction. In addition, we find that the larger graviton mass and coupling parameters both can reduce the dissipation and improve the propagation in the holographic setup.
|
1510.02445
|
Davide Fioravanti
|
Davide Fioravanti, Gabriele Infusino and Marco Rossi
|
Reciprocity and self-tuning relations without wrapping
|
33 pages
| null | null | null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider scalar Wilson operators of ${\cal N}=4$ SYM at high spin, $s$,
and generic twist in the multi-color limit. We show that the corresponding
(non)linear integral equations (originating from the asymptotic Bethe Ansatz
equations) respect certain 'reciprocity' and functional 'self-tuning' relations
up to all terms $\frac{1}{s(\ln s)^n}$ (inclusive) at any fixed 't Hooft
coupling $\lambda$. Of course, this relation entails straightforwardly the
well-known (homonymous) relations for the anomalous dimension at the same order
in $s$. On this basis we give some evidence that wrapping corrections should
enter the non-linear integral equation and anomalous dimension expansions at
the next order $\frac{(\ln s)^{2}}{s^2}$, at fixed 't Hooft coupling, in such a
way to re-establish the aforementioned relation (which fails otherwise).
|
[
{
"created": "Thu, 8 Oct 2015 18:59:46 GMT",
"version": "v1"
}
] |
2015-10-09
|
[
[
"Fioravanti",
"Davide",
""
],
[
"Infusino",
"Gabriele",
""
],
[
"Rossi",
"Marco",
""
]
] |
We consider scalar Wilson operators of ${\cal N}=4$ SYM at high spin, $s$, and generic twist in the multi-color limit. We show that the corresponding (non)linear integral equations (originating from the asymptotic Bethe Ansatz equations) respect certain 'reciprocity' and functional 'self-tuning' relations up to all terms $\frac{1}{s(\ln s)^n}$ (inclusive) at any fixed 't Hooft coupling $\lambda$. Of course, this relation entails straightforwardly the well-known (homonymous) relations for the anomalous dimension at the same order in $s$. On this basis we give some evidence that wrapping corrections should enter the non-linear integral equation and anomalous dimension expansions at the next order $\frac{(\ln s)^{2}}{s^2}$, at fixed 't Hooft coupling, in such a way to re-establish the aforementioned relation (which fails otherwise).
|
hep-th/9911061
|
V. P. Nair
|
V.P. Nair
|
Gauge-invariant variables, WZW models and (2+1)-dimensional Yang-Mills
theory
|
LaTeX file, 11 pages
| null | null |
IASSNS-99/105, RU99-13-B
|
hep-th
| null |
Recent progress in understanding (2+1)-dimensional Yang-Mills (YM_{2+1})
theory via the use of gauge-invariant variables is reviewed. Among other
things, we discuss the vacuum wavefunction, an analytic calculation of the
string tension and the propagator mass for gluons and its relation to the
magnetic mass for YM_{3+1} at nonzero temperature.
|
[
{
"created": "Wed, 10 Nov 1999 00:33:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nair",
"V. P.",
""
]
] |
Recent progress in understanding (2+1)-dimensional Yang-Mills (YM_{2+1}) theory via the use of gauge-invariant variables is reviewed. Among other things, we discuss the vacuum wavefunction, an analytic calculation of the string tension and the propagator mass for gluons and its relation to the magnetic mass for YM_{3+1} at nonzero temperature.
|
hep-th/0401043
|
Koji Hashimoto
|
Koji Hashimoto (Univ. of Tokyo)
|
The shape of nonabelian D-branes
|
55 pages, 8+1 eps figures, JHEP style; v2: a further study on
recombination added with an EPS figure, references added, minor corrections
|
JHEP 0404 (2004) 004
|
10.1088/1126-6708/2004/04/004
| null |
hep-th
| null |
We evaluate bulk distribution of energies, pressures and various
D-brane/F-string charges generated by nontrivial matrix configurations in
nonabelian D-brane effective field theories, using supergravity source density
formulas derived originally in Matrix theory. Off-diagonal elements of
worldvolume nonabelian fields, especially transverse scalar fields, induce
various interesting bulk structures exhibiting the shape of branes. First, we
study the energy distribution of string-brane networks generated in the bulk by
the Yang-Mills monopoles and the 1/4 BPS dyons, and confirm force balance of
them. An application to the Yang-Mills description of recombination of
intersecting D-branes gives results indicating presence of the tachyon matter.
Second, we analyse the shape of fuzzy D-branes given by nonabelian scalar
fields which are mutually noncommutative. We employ fuzzy S^2, fuzzy S^4 and
fuzzy cylinder/supertube as matrix configurations of N D0-branes representing
higher dimensional noncommutative D-branes. We find that in the continuum
(large N) limit the D-brane charge distributions become in the expected shape
of a sphere or a cylinder with an infinitesimal thickness. However, the
distributions found for finite N are difficult to interpret, which leaves a
puzzle for a possible dual description in terms of higher dimensional D-branes.
A resolution is provided with use of an ordering ambiguity in the charge
density formulas.
|
[
{
"created": "Thu, 8 Jan 2004 14:09:20 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2004 02:59:00 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Hashimoto",
"Koji",
"",
"Univ. of Tokyo"
]
] |
We evaluate bulk distribution of energies, pressures and various D-brane/F-string charges generated by nontrivial matrix configurations in nonabelian D-brane effective field theories, using supergravity source density formulas derived originally in Matrix theory. Off-diagonal elements of worldvolume nonabelian fields, especially transverse scalar fields, induce various interesting bulk structures exhibiting the shape of branes. First, we study the energy distribution of string-brane networks generated in the bulk by the Yang-Mills monopoles and the 1/4 BPS dyons, and confirm force balance of them. An application to the Yang-Mills description of recombination of intersecting D-branes gives results indicating presence of the tachyon matter. Second, we analyse the shape of fuzzy D-branes given by nonabelian scalar fields which are mutually noncommutative. We employ fuzzy S^2, fuzzy S^4 and fuzzy cylinder/supertube as matrix configurations of N D0-branes representing higher dimensional noncommutative D-branes. We find that in the continuum (large N) limit the D-brane charge distributions become in the expected shape of a sphere or a cylinder with an infinitesimal thickness. However, the distributions found for finite N are difficult to interpret, which leaves a puzzle for a possible dual description in terms of higher dimensional D-branes. A resolution is provided with use of an ordering ambiguity in the charge density formulas.
|
hep-th/9711106
|
Roberto Emparan
|
Roberto Emparan
|
Born-Infeld Strings Tunneling to D-branes
|
13 pages, 2 figures
|
Phys.Lett. B423 (1998) 71-78
|
10.1016/S0370-2693(98)00107-5
|
UCSBTH-97-22
|
hep-th
| null |
Recent work on solutions to the Born-Infeld theory used to describe D-branes
suggests that fundamental strings can be viewed, in a certain limit, as
D-branes whose worldvolumes have collapsed to string-like configurations. Here
we address the possibility of undoing this collapse, by inducing the string to
tunnel to an extended brane configuration. Using semiclassical methods we argue
that, by putting one of these Born-Infeld strings in the background of a
uniform 4-form RR field strength, the string can nucleate a spheroidal bulge of
D2-brane, or, if the string is wrapped around a small enough circle, it can
tunnel to a toroidal D2-brane. This process can also be interpreted in terms of
the M2-brane. We also address the extension to other D$p$-branes, and discuss
the range of validity of the approximations involved.
|
[
{
"created": "Fri, 14 Nov 1997 22:13:11 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Emparan",
"Roberto",
""
]
] |
Recent work on solutions to the Born-Infeld theory used to describe D-branes suggests that fundamental strings can be viewed, in a certain limit, as D-branes whose worldvolumes have collapsed to string-like configurations. Here we address the possibility of undoing this collapse, by inducing the string to tunnel to an extended brane configuration. Using semiclassical methods we argue that, by putting one of these Born-Infeld strings in the background of a uniform 4-form RR field strength, the string can nucleate a spheroidal bulge of D2-brane, or, if the string is wrapped around a small enough circle, it can tunnel to a toroidal D2-brane. This process can also be interpreted in terms of the M2-brane. We also address the extension to other D$p$-branes, and discuss the range of validity of the approximations involved.
|
2208.07856
|
Shuvayu Roy
|
Chandranathan A, Sayantani Bhattacharyya, Milan Patra, Shuvayu Roy
|
Entropy Current and Fluid-Gravity Duality in Gauss-Bonnet theory
|
39+1 pages
|
JHEP 09 (2023) 070
|
10.1007/JHEP09(2023)070
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Working within the approximation of small amplitude expansion, recently an
entropy current has been constructed on the horizons of dynamical black hole
solution in any higher derivative theory of gravity. In this note, we have
dualized this horizon entropy current to a boundary entropy current in an
asymptotically AdS black hole metric with a dual description in terms of
dynamical fluids living on the AdS boundary. This boundary entropy current is
constructed using a set of mapping functions relating each point on the horizon
to a point on the boundary. We have applied our construction to black holes in
Einstein-Gauss-Bonnet theory. We have seen that up to the first order in
derivative expansion, Gauss-Bonnet terms do not add any extra corrections to
fluid entropy as expected. However, at the second order in derivative
expansion, the boundary current will non-trivially depend on how we choose our
horizon to boundary map, which need not be expressible entirely in terms of
fluid variables. So generically, the boundary entropy current generated by
dualizing the horizon current will not admit a fluid dynamical description.
|
[
{
"created": "Tue, 16 Aug 2022 17:29:31 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2022 09:23:39 GMT",
"version": "v2"
}
] |
2024-03-13
|
[
[
"A",
"Chandranathan",
""
],
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Patra",
"Milan",
""
],
[
"Roy",
"Shuvayu",
""
]
] |
Working within the approximation of small amplitude expansion, recently an entropy current has been constructed on the horizons of dynamical black hole solution in any higher derivative theory of gravity. In this note, we have dualized this horizon entropy current to a boundary entropy current in an asymptotically AdS black hole metric with a dual description in terms of dynamical fluids living on the AdS boundary. This boundary entropy current is constructed using a set of mapping functions relating each point on the horizon to a point on the boundary. We have applied our construction to black holes in Einstein-Gauss-Bonnet theory. We have seen that up to the first order in derivative expansion, Gauss-Bonnet terms do not add any extra corrections to fluid entropy as expected. However, at the second order in derivative expansion, the boundary current will non-trivially depend on how we choose our horizon to boundary map, which need not be expressible entirely in terms of fluid variables. So generically, the boundary entropy current generated by dualizing the horizon current will not admit a fluid dynamical description.
|
1812.07206
|
Igor Samsonov
|
I.L. Buchbinder, E.A. Ivanov, I.B. Samsonov
|
Low-energy effective action in 5D, N=2 supersymmetric gauge theory
|
12 pages; v2: minor changes, references added
| null |
10.1016/j.nuclphysb.2019.01.011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct ${\cal N}=2$ supersymmetric low-energy effective action of $5D,
{\cal N}=2$ supersymmetric Yang-Mills theory in $5D, {\cal N}=1$ harmonic
superspace. It is obtained as a hypermultiplet completion of the leading $W \ln
W$-term in the ${\cal N}=1$ SYM low-energy effective action by invoking the
second implicit on-shell ${\cal N}=1$ supersymmetry. After passing to
components, the ${\cal N}=2$ effective action constructed displays, along with
other terms, the $SO(5)$-invariant $F^4/X^3$ term. Though we specialize to the
case of $SU(2)$ gauge group spontaneously broken to $U(1)$, our consideration
is applicable to any gauge symmetry broken to some abelian subgroup.
|
[
{
"created": "Tue, 18 Dec 2018 07:21:52 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Feb 2019 05:58:23 GMT",
"version": "v2"
}
] |
2019-02-20
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Samsonov",
"I. B.",
""
]
] |
We construct ${\cal N}=2$ supersymmetric low-energy effective action of $5D, {\cal N}=2$ supersymmetric Yang-Mills theory in $5D, {\cal N}=1$ harmonic superspace. It is obtained as a hypermultiplet completion of the leading $W \ln W$-term in the ${\cal N}=1$ SYM low-energy effective action by invoking the second implicit on-shell ${\cal N}=1$ supersymmetry. After passing to components, the ${\cal N}=2$ effective action constructed displays, along with other terms, the $SO(5)$-invariant $F^4/X^3$ term. Though we specialize to the case of $SU(2)$ gauge group spontaneously broken to $U(1)$, our consideration is applicable to any gauge symmetry broken to some abelian subgroup.
|
hep-th/0110254
|
Zhou Bang Rong
|
Bang-Rong Zhou (CCAST (World Lab.) and Graduate School, Academia
Sinica, Beijing)
|
Exact Solutions of Linearized Schwinger-Dyson Equation of Fermion
Self-Energy
|
12 pages, Latex, no figues
|
J.Math.Phys.38:809-820,1997
|
10.1063/1.531891
| null |
hep-th
| null |
The Schwinger-Dyson equation of fermion self-energy in the linearization
approximation is solved exactly in a theory with gauge and effective
four-fermion interactions. Different expressions for the indepedent solutions
which respectively submit to irregular and regular ultraviolet boundary
condition are derived and expounded.
|
[
{
"created": "Mon, 29 Oct 2001 06:43:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Zhou",
"Bang-Rong",
"",
"CCAST"
]
] |
The Schwinger-Dyson equation of fermion self-energy in the linearization approximation is solved exactly in a theory with gauge and effective four-fermion interactions. Different expressions for the indepedent solutions which respectively submit to irregular and regular ultraviolet boundary condition are derived and expounded.
|
2308.05191
|
Alejandro Cabo-Bizet
|
Matteo Beccaria and Alejandro Cabo-Bizet
|
Large black hole entropy from the giant brane expansion
|
55 pp, 1 fig; v2: refs added, typos corrected, matches version in
journal
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the Bekenstein-Hawking entropy of large supersymmetric black
holes in AdS$_5\times S^5$ emerges from remarkable cancellations in the giant
graviton expansions recently proposed by Imamura, and Gaiotto and Lee,
independently. A similar cancellation mechanism is shown to happen in the exact
expansion in terms of free fermions recently put-forward by Murthy. These two
representations can be understood as sums over independent systems of giant
D3-branes and free fermions, respectively. At large charges, the free energy of
each independent system localizes to its asymptotic expansion near the leading
singularity. The sum over the independent systems maps their localized free
energy to the localized free energy of the superconformal index of $U(N)$
$\mathcal{N}=4$ SYM. This result constitutes a non-perturbative test of the
giant graviton expansion valid at any value of $N$. Moreover, in the
holographic scaling limit $N\to\infty$ at fixed ratio
$\frac{\text{Entropy}}{N^2}\,$, it recovers the 1/16 BPS black hole entropy by
a saddle-point approximation of the giant graviton expansion.
|
[
{
"created": "Wed, 9 Aug 2023 19:02:25 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Dec 2023 00:15:58 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Apr 2024 16:18:16 GMT",
"version": "v3"
}
] |
2024-04-19
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Cabo-Bizet",
"Alejandro",
""
]
] |
We show that the Bekenstein-Hawking entropy of large supersymmetric black holes in AdS$_5\times S^5$ emerges from remarkable cancellations in the giant graviton expansions recently proposed by Imamura, and Gaiotto and Lee, independently. A similar cancellation mechanism is shown to happen in the exact expansion in terms of free fermions recently put-forward by Murthy. These two representations can be understood as sums over independent systems of giant D3-branes and free fermions, respectively. At large charges, the free energy of each independent system localizes to its asymptotic expansion near the leading singularity. The sum over the independent systems maps their localized free energy to the localized free energy of the superconformal index of $U(N)$ $\mathcal{N}=4$ SYM. This result constitutes a non-perturbative test of the giant graviton expansion valid at any value of $N$. Moreover, in the holographic scaling limit $N\to\infty$ at fixed ratio $\frac{\text{Entropy}}{N^2}\,$, it recovers the 1/16 BPS black hole entropy by a saddle-point approximation of the giant graviton expansion.
|
1310.3090
|
Daniele Steer
|
D.A.Steer
|
Cosmic superstring networks with Y-junctions: Evolution, B-modes and
Gravitational waves
|
to appear in the proceedings of the Workshop on Quantized Flux in
Tightly Knotted and Linked Systems, 3-7 Dec 2012. Cambridge, UK
| null |
10.1088/1742-6596/544/1/012028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the properties and evolution of strings networks containing both a
spectrum of string tensions as well as Y-junctions, namely a point at which
three different strings meet. Such a situation is expected in cosmic
superstring networks, where the tension of the different strings is determined
by the fundamental string tension $\mu_F$ as well as the string coupling $g_s$.
We discuss evolution of such a network, and the proliferation of kinks as they
travel through junctions. These effects can leave observational signals on
B-modes and gravitational waves, which can then in turn constrain the
underlying parameters of the theory.
|
[
{
"created": "Fri, 11 Oct 2013 11:47:26 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Steer",
"D. A.",
""
]
] |
We review the properties and evolution of strings networks containing both a spectrum of string tensions as well as Y-junctions, namely a point at which three different strings meet. Such a situation is expected in cosmic superstring networks, where the tension of the different strings is determined by the fundamental string tension $\mu_F$ as well as the string coupling $g_s$. We discuss evolution of such a network, and the proliferation of kinks as they travel through junctions. These effects can leave observational signals on B-modes and gravitational waves, which can then in turn constrain the underlying parameters of the theory.
|
hep-th/0003095
|
Luca Lusanna
|
Luca Lusanna (INFN, Firenze) and D.Nowak-Szczepaniak (Wroclaw Univ.)
|
The Rest-Frame Instant Form of Relativistic Perfect Fluids and of
Non-Dissipative Elastic Materials
|
revtex file, 70 pages
|
Int.J.Mod.Phys. A15 (2000) 4943-5016
|
10.1142/S0217751X00001877
|
FI-TH-00-10
|
hep-th astro-ph gr-qc
| null |
For perfect fluids with equation of state $\rho = \rho (n,s)$, Brown gave an
action principle depending only on their Lagrange coordinates $\alpha^i(x)$
without Clebsch potentials. After a reformulation on arbitrary spacelike
hypersurfaces in Minkowski spacetime, the Wigner-covariant rest-frame instant
form of these perfect fluids is given. Their Hamiltonian invariant mass can be
given in closed form for the dust and the photon gas. The action for the
coupling to tetrad gravity is given. Dixon's multipoles for the perfect fluids
are studied on the rest-frame Wigner hyperplane. It is also shown that the same
formalism can be applied to non-dissipative relativistic elastic materials
described in terms of Lagrangian coordinates.
|
[
{
"created": "Mon, 13 Mar 2000 14:32:34 GMT",
"version": "v1"
}
] |
2016-12-28
|
[
[
"Lusanna",
"Luca",
"",
"INFN, Firenze"
],
[
"Nowak-Szczepaniak",
"D.",
"",
"Wroclaw Univ."
]
] |
For perfect fluids with equation of state $\rho = \rho (n,s)$, Brown gave an action principle depending only on their Lagrange coordinates $\alpha^i(x)$ without Clebsch potentials. After a reformulation on arbitrary spacelike hypersurfaces in Minkowski spacetime, the Wigner-covariant rest-frame instant form of these perfect fluids is given. Their Hamiltonian invariant mass can be given in closed form for the dust and the photon gas. The action for the coupling to tetrad gravity is given. Dixon's multipoles for the perfect fluids are studied on the rest-frame Wigner hyperplane. It is also shown that the same formalism can be applied to non-dissipative relativistic elastic materials described in terms of Lagrangian coordinates.
|
1602.06419
|
Chi-Sing Lam
|
C.S. Lam, York-Peng Yao
|
Evaluation of the CHY Gauge Amplitude
|
Version to appear in Physical Review D
|
Phys. Rev. D 93, 105008 (2016)
|
10.1103/PhysRevD.93.105008
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Cachazo-He-Yuan (CHY) formula for $n$-gluon scattering is known to give
the same amplitude as the one obtained from Feynman diagrams, though the former
contains neither vertices nor propagators explicitly. The equivalence was shown
by indirect means, not by a direct evaluation of the $(n\! - \!3)$-dimensional
integral in the CHY formula. The purpose of this paper is to discuss how such a
direct evaluation can be carried out. There are two basic difficulties in the
calculation: how to handle the large number of terms in the reduced Pfaffian,
and how to carry out the integrations in the presence of a $\sigma$-dependence
much more complicated than the Parke-Taylor form found in a CHY double-color
scalar amplitude. We have solved both of these problems, and have formulated a
method that can be applied to any $n$. Many examples are provided to illustrate
these calculations.
|
[
{
"created": "Sat, 20 Feb 2016 15:31:26 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2016 16:39:26 GMT",
"version": "v2"
}
] |
2016-05-18
|
[
[
"Lam",
"C. S.",
""
],
[
"Yao",
"York-Peng",
""
]
] |
The Cachazo-He-Yuan (CHY) formula for $n$-gluon scattering is known to give the same amplitude as the one obtained from Feynman diagrams, though the former contains neither vertices nor propagators explicitly. The equivalence was shown by indirect means, not by a direct evaluation of the $(n\! - \!3)$-dimensional integral in the CHY formula. The purpose of this paper is to discuss how such a direct evaluation can be carried out. There are two basic difficulties in the calculation: how to handle the large number of terms in the reduced Pfaffian, and how to carry out the integrations in the presence of a $\sigma$-dependence much more complicated than the Parke-Taylor form found in a CHY double-color scalar amplitude. We have solved both of these problems, and have formulated a method that can be applied to any $n$. Many examples are provided to illustrate these calculations.
|
1212.1681
|
Andrey Grabovsky
|
R. E. Gerasimov and A. V. Grabovsky
|
Evolution equation for 3-quark Wilson loop operator
|
10 pages
| null |
10.1007/JHEP04(2013)102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The evolution equation for the 3 quark Wilson loop operator has been derived
in the leading logarithm approximation within Balitsky high energy operator
expansion.
|
[
{
"created": "Fri, 7 Dec 2012 19:03:02 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Gerasimov",
"R. E.",
""
],
[
"Grabovsky",
"A. V.",
""
]
] |
The evolution equation for the 3 quark Wilson loop operator has been derived in the leading logarithm approximation within Balitsky high energy operator expansion.
|
1804.01540
|
Massimiliano Rota
|
Veronika E. Hubeny and Massimiliano Rota
|
Gravity from micro-equilibration
|
6 pages, Essay written for the Gravity Research Foundation 2018
Awards
| null |
10.1142/S0218271819500949
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We suggest a mechanism for the emergence of classical dynamical spacetime
from an underlying quantum gravitational system. This is an example of a more
general process, which we name micro-equilibration, and which can be thought of
as local thermalization of entanglement. Applied in the context of the AdS/CFT
correspondence, we propose that this dynamical process underlies generic
evolution towards CFT states whose gravitational dual describes smooth bulk
geometries. Hence contrary to common expectation, such 'geometric' CFT states
are in fact typical in this sense. Correspondingly they can be characterized by
a specific universal entanglement structure resulting from micro-equilibration
of a generic quantum state.
|
[
{
"created": "Wed, 4 Apr 2018 18:00:13 GMT",
"version": "v1"
}
] |
2019-05-29
|
[
[
"Hubeny",
"Veronika E.",
""
],
[
"Rota",
"Massimiliano",
""
]
] |
We suggest a mechanism for the emergence of classical dynamical spacetime from an underlying quantum gravitational system. This is an example of a more general process, which we name micro-equilibration, and which can be thought of as local thermalization of entanglement. Applied in the context of the AdS/CFT correspondence, we propose that this dynamical process underlies generic evolution towards CFT states whose gravitational dual describes smooth bulk geometries. Hence contrary to common expectation, such 'geometric' CFT states are in fact typical in this sense. Correspondingly they can be characterized by a specific universal entanglement structure resulting from micro-equilibration of a generic quantum state.
|
hep-th/9910156
|
Matthias R. Gaberdiel
|
Matthias R Gaberdiel
|
An Introduction to Conformal Field Theory
|
69 pages, LaTeX; references added
|
Rept.Prog.Phys.63:607-667,2000
|
10.1088/0034-4885/63/4/203
|
DAMTP-1999-143
|
hep-th
| null |
A comprehensive introduction to two-dimensional conformal field theory is
given.
|
[
{
"created": "Tue, 19 Oct 1999 21:39:10 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Nov 1999 10:41:09 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Gaberdiel",
"Matthias R",
""
]
] |
A comprehensive introduction to two-dimensional conformal field theory is given.
|
1005.3285
|
Stefan Stricker
|
Christopher P. Herzog, Stefan A. Stricker, Aleksi Vuorinen
|
Hyperfine Splitting and the Zeeman Effect in Holographic Heavy-Light
Mesons
|
5 pages, 1 figure
|
Phys.Rev.D82:041701,2010
|
10.1103/PhysRevD.82.041701
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We inspect the mass spectrum of heavy-light mesons in deformed N=2 super
Yang-Mills theory using the AdS/CFT correspondence. We demonstrate how some of
the degeneracies of the supersymmetric meson spectrum can be removed upon
breaking the supersymmetry, thus leading to the emergence of hyperfine
structure. The explicit SUSY breaking scenarios we consider involve on one hand
tilting one of the two fundamental D7 branes inside the internal R^6 space, and
on the other hand applying an external magnetic field on the (untilted) branes.
The latter scenario leads to the well-known Zeeman effect, which we inspect for
both weak and strong magnetic fields.
|
[
{
"created": "Tue, 18 May 2010 19:04:28 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Stricker",
"Stefan A.",
""
],
[
"Vuorinen",
"Aleksi",
""
]
] |
We inspect the mass spectrum of heavy-light mesons in deformed N=2 super Yang-Mills theory using the AdS/CFT correspondence. We demonstrate how some of the degeneracies of the supersymmetric meson spectrum can be removed upon breaking the supersymmetry, thus leading to the emergence of hyperfine structure. The explicit SUSY breaking scenarios we consider involve on one hand tilting one of the two fundamental D7 branes inside the internal R^6 space, and on the other hand applying an external magnetic field on the (untilted) branes. The latter scenario leads to the well-known Zeeman effect, which we inspect for both weak and strong magnetic fields.
|
hep-th/0304164
|
Hirotaka Sugawara
|
Hirotaka Sugawara (Univ. of Hawaii)
|
Theory of Membrane in Heegaard Diagram Expansion
|
15 pages, 6 eps files, LaTeX2e
| null | null |
KEK-TH-877
|
hep-th
| null |
The vacuum amplitude of the closed membrane theory is investigated using the
fact that any three-dimensional manifold has the corresponding Heegaard diagram
(splitting) although it is not unique. We concentrate on the topological aspect
with the geometry considered only perturbatively. In the simplest case where
the action describes the free fields we find that the genus one amplitudes
(lens space) are obtained from the S3 amplitude by merely renormalizing the
membrane tension. The amplitudes corresponding to the Heegaard diagram of genus
two or higher can be calculated as the Coulomb amplitudes with arbitrary charge
distributed on a knot or a link which corresponds to the set of branch points
of a given regular or an irregular covering space. We also discuss the case of
membrane instanton.
|
[
{
"created": "Thu, 17 Apr 2003 22:31:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sugawara",
"Hirotaka",
"",
"Univ. of Hawaii"
]
] |
The vacuum amplitude of the closed membrane theory is investigated using the fact that any three-dimensional manifold has the corresponding Heegaard diagram (splitting) although it is not unique. We concentrate on the topological aspect with the geometry considered only perturbatively. In the simplest case where the action describes the free fields we find that the genus one amplitudes (lens space) are obtained from the S3 amplitude by merely renormalizing the membrane tension. The amplitudes corresponding to the Heegaard diagram of genus two or higher can be calculated as the Coulomb amplitudes with arbitrary charge distributed on a knot or a link which corresponds to the set of branch points of a given regular or an irregular covering space. We also discuss the case of membrane instanton.
|
1410.4867
|
Andres Collinucci
|
Andres Collinucci and Raffaele Savelli
|
F-theory on singular spaces
|
35 pages, 4 figures, minor revisions
| null |
10.1007/JHEP09(2015)100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a framework for treating F-theory directly, without resolving or
deforming its singularities. This allows us to explore new sectors of gauge
theories, including exotic bound states such as T-branes, in a global context.
We use the mathematical framework known as Eisenbud's matrix factorizations for
hypersurface singularities. We display the usefulness of this technique by way
of examples, including affine singularities of both conifold and orbifold type,
as well as a class of full-fledged compact elliptically fibered Calabi-Yau
fourfolds.
|
[
{
"created": "Fri, 17 Oct 2014 21:18:06 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2016 11:45:22 GMT",
"version": "v2"
}
] |
2016-03-15
|
[
[
"Collinucci",
"Andres",
""
],
[
"Savelli",
"Raffaele",
""
]
] |
We propose a framework for treating F-theory directly, without resolving or deforming its singularities. This allows us to explore new sectors of gauge theories, including exotic bound states such as T-branes, in a global context. We use the mathematical framework known as Eisenbud's matrix factorizations for hypersurface singularities. We display the usefulness of this technique by way of examples, including affine singularities of both conifold and orbifold type, as well as a class of full-fledged compact elliptically fibered Calabi-Yau fourfolds.
|
0802.2785
|
Motomu Tsuda
|
Kazunari Shima and Motomu Tsuda
|
Nonlinear Supersymmetric General Relativity and Unity of Nature
|
18 pages, correct form of the potential given as a footnote, based on
the talk given by K. Shima at Conference in Honor of C.N. Yang's 85th
Birthday, October 30 - November 2, 2007, Singapore
| null |
10.1142/9789812794185_0070
| null |
hep-th astro-ph gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The basic idea and some physical implications of nonlinear supersymmetric
general relativity (NLSUSY GR) are discussed, which give new insights into the
origin of mass and the mysterious relations between the cosmology and the low
energy particle physics, e.g. the spontaneous SUSY breaking scale, the
cosmological constant, the (dark) energy density of the universe and the
neutrino mass.
|
[
{
"created": "Wed, 20 Feb 2008 10:15:36 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Feb 2008 04:29:31 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Feb 2009 08:44:30 GMT",
"version": "v3"
}
] |
2017-08-23
|
[
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] |
The basic idea and some physical implications of nonlinear supersymmetric general relativity (NLSUSY GR) are discussed, which give new insights into the origin of mass and the mysterious relations between the cosmology and the low energy particle physics, e.g. the spontaneous SUSY breaking scale, the cosmological constant, the (dark) energy density of the universe and the neutrino mass.
|
hep-th/9707009
|
Pms4
|
Paul Sutcliffe
|
BPS Monopoles
|
A 43 page review to appear in the International Journal of Modern
Physics A
|
Int.J.Mod.Phys.A12:4663-4706,1997
|
10.1142/S0217751X97002504
|
UKC/IMS/97-24
|
hep-th
| null |
We review classical BPS monopoles, their moduli spaces, twistor descriptions
and dynamics. Particular emphasis is placed upon symmetric monopoles, where
recent progress has been made. Some remarks on the role of monopoles in
S-duality and Seiberg-Witten theory are also made.
|
[
{
"created": "Tue, 1 Jul 1997 13:20:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Sutcliffe",
"Paul",
""
]
] |
We review classical BPS monopoles, their moduli spaces, twistor descriptions and dynamics. Particular emphasis is placed upon symmetric monopoles, where recent progress has been made. Some remarks on the role of monopoles in S-duality and Seiberg-Witten theory are also made.
|
1109.3758
|
Merab Gogberashvili Prof
|
Merab Gogberashvili, Pavle Midodashvili and Levan Midodashvili
|
Massless fermions in the standing wave braneworld
|
8 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the 5D massless fermionic fields within the standing wave
braneworld model. We show that in the case of increasing warp factor there
exist localized left spinor field zero modes on the brane, while right fermion
wave functions are not normalizable.
|
[
{
"created": "Sat, 17 Sep 2011 08:41:34 GMT",
"version": "v1"
}
] |
2011-09-20
|
[
[
"Gogberashvili",
"Merab",
""
],
[
"Midodashvili",
"Pavle",
""
],
[
"Midodashvili",
"Levan",
""
]
] |
We investigate the 5D massless fermionic fields within the standing wave braneworld model. We show that in the case of increasing warp factor there exist localized left spinor field zero modes on the brane, while right fermion wave functions are not normalizable.
|
2112.02156
|
Zbigniew Drogosz
|
Zbigniew Drogosz
|
New topological observables in a model of Causal Dynamical
Triangulations on a torus
|
PhD thesis, Jagiellonian University, 2021
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The structure of simplicial manifolds in a model of Causal Dynamical
Triangulations in 3+1 dimensions with the spatial topology of a 3-torus is
analyzed with the help of topological observables, such as loops with nonzero
winding numbers and coordinates based on scalar fields with jumps at the
boundaries of the elementary cell of the torus. The results are given an
interpretation and used in the measurements of a more local observable that is
the quantum Ricci curvature. We moreover analyze the influence of scalar matter
fields on the geometry of CDT spacetimes.
|
[
{
"created": "Fri, 3 Dec 2021 20:56:19 GMT",
"version": "v1"
}
] |
2021-12-07
|
[
[
"Drogosz",
"Zbigniew",
""
]
] |
The structure of simplicial manifolds in a model of Causal Dynamical Triangulations in 3+1 dimensions with the spatial topology of a 3-torus is analyzed with the help of topological observables, such as loops with nonzero winding numbers and coordinates based on scalar fields with jumps at the boundaries of the elementary cell of the torus. The results are given an interpretation and used in the measurements of a more local observable that is the quantum Ricci curvature. We moreover analyze the influence of scalar matter fields on the geometry of CDT spacetimes.
|
0808.0452
|
Diego Hernan Correa
|
D. H. Correa and C. A. S. Young
|
Reflecting magnons from D7 and D5 branes
|
32 pages, 1 figure; v2: added references and minor changes; v3: error
in boundary Yang-Baxter equation for D5 reflection matrix noted
|
J.Phys.A41:455401,2008
|
10.1088/1751-8113/41/45/455401
|
DAMTP-08-64, DCPT-08/45
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the reflection matrices for the scattering of elementary magnons
from certain open boundaries, corresponding to open strings ending on D7 and D5
branes in $AdS_5\times S^5$. In each case we consider two possible orientations
for the vacuum state. We show that symmetry arguments are sufficient to
determine the reflection matrices up to at most two unknown functions. The D7
reflection matrices obey the boundary Yang Baxter-Equation. This is automatic
for one vacuum orientation, and requires a natural choice of ratio between two
unknowns for the other. In contrast, the D5 reflection matrices do not obey the
boundary Yang Baxter-Equation. In both cases we show consistency with the
existent weak and strong coupling results.
|
[
{
"created": "Mon, 4 Aug 2008 15:10:52 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 2008 13:05:00 GMT",
"version": "v2"
},
{
"created": "Mon, 23 May 2011 14:45:01 GMT",
"version": "v3"
}
] |
2011-05-24
|
[
[
"Correa",
"D. H.",
""
],
[
"Young",
"C. A. S.",
""
]
] |
We obtain the reflection matrices for the scattering of elementary magnons from certain open boundaries, corresponding to open strings ending on D7 and D5 branes in $AdS_5\times S^5$. In each case we consider two possible orientations for the vacuum state. We show that symmetry arguments are sufficient to determine the reflection matrices up to at most two unknown functions. The D7 reflection matrices obey the boundary Yang Baxter-Equation. This is automatic for one vacuum orientation, and requires a natural choice of ratio between two unknowns for the other. In contrast, the D5 reflection matrices do not obey the boundary Yang Baxter-Equation. In both cases we show consistency with the existent weak and strong coupling results.
|
1504.00772
|
Apratim Kaviraj
|
Apratim Kaviraj, Kallol Sen and Aninda Sinha
|
Universal anomalous dimensions at large spin and large twist
|
22 pages, 3 figures, typos corrected, to appear in JHEP
|
JHEP 1507 (2015) 026
|
10.1007/JHEP07(2015)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider anomalous dimensions of double trace operators at
large spin ($\ell$) and large twist ($\tau$) in CFTs in arbitrary dimensions
($d\geq 3$). Using analytic conformal bootstrap methods, we show that the
anomalous dimensions are universal in the limit $\ell\gg \tau\gg 1$. In the
course of the derivation, we extract an approximate closed form expression for
the conformal blocks arising in the four point function of identical scalars in
any dimension. We compare our results with two different calculations in
holography and find perfect agreement.
|
[
{
"created": "Fri, 3 Apr 2015 08:20:27 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jun 2015 14:56:52 GMT",
"version": "v2"
}
] |
2015-07-21
|
[
[
"Kaviraj",
"Apratim",
""
],
[
"Sen",
"Kallol",
""
],
[
"Sinha",
"Aninda",
""
]
] |
In this paper we consider anomalous dimensions of double trace operators at large spin ($\ell$) and large twist ($\tau$) in CFTs in arbitrary dimensions ($d\geq 3$). Using analytic conformal bootstrap methods, we show that the anomalous dimensions are universal in the limit $\ell\gg \tau\gg 1$. In the course of the derivation, we extract an approximate closed form expression for the conformal blocks arising in the four point function of identical scalars in any dimension. We compare our results with two different calculations in holography and find perfect agreement.
|
hep-th/9504128
|
Manfred Requardt
|
Requardt M
|
A New Class of Bounds for Correlation Functions in Euclidean Lattice
Field Theory and Statistical Mechanics of Spin Systems
|
9 pages, Latex
| null | null |
GOET-TP 102/95
|
hep-th
| null |
Starting from an extension of the Poisson bracket structure and
Kubo-Martin-Schwinger-property of classical statistical mechanics of continuous
systems to spin systems, defined on a lattice, we derive a series of, as we
think, new and interesting bounds on correlation functions for general lattice
systems. Our method is expected to yield also useful results in Euclidean Field
Theory. Furthermore the approach is applicable in situations where other
techniques fail, e.g. in the study of phase transitions without breaking of a
{\bf continuous} symmetry like $P(\phi)$-theories with $\phi (x)$ scalar.
|
[
{
"created": "Tue, 25 Apr 1995 12:13:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"M",
"Requardt",
""
]
] |
Starting from an extension of the Poisson bracket structure and Kubo-Martin-Schwinger-property of classical statistical mechanics of continuous systems to spin systems, defined on a lattice, we derive a series of, as we think, new and interesting bounds on correlation functions for general lattice systems. Our method is expected to yield also useful results in Euclidean Field Theory. Furthermore the approach is applicable in situations where other techniques fail, e.g. in the study of phase transitions without breaking of a {\bf continuous} symmetry like $P(\phi)$-theories with $\phi (x)$ scalar.
|
1003.5913
|
Andy O'Bannon
|
Martin Ammon, Carlos Hoyos, Andy O'Bannon, and Jackson M. S. Wu
|
Holographic Flavor Transport in Schroedinger Spacetime
|
32 pages; v2 minor corrections, added three references, version
published in JHEP
|
JHEP 1006:012,2010
|
10.1007/JHEP06(2010)012
|
MPP-2010-37
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use gauge-gravity duality to study the transport properties of a finite
density of charge carriers in a strongly-coupled theory with non-relativistic
symmetry. The field theory is N=4 supersymmetric SU(Nc) Yang-Mills theory in
the limit of large Nc and with large 't Hooft coupling, deformed by an
irrelevant operator, coupled to a number Nf of massive N=2 supersymmetric
hypermultiplets in the fundamental representation of the gauge group, i.e.
flavor fields. The irrelevant deformation breaks the relativistic conformal
group down to the Schroedinger group, which has non-relativistic scale
invariance with dynamical exponent z=2. Introducing a finite baryon number
density of the flavor fields provides us with charge carriers. We compute the
associated DC and AC conductivities using the dual gravitational description of
probe D7-branes in an asymptotically Schroedinger spacetime. We generically
find that in the infrared the conductivity exhibits scaling with temperature or
frequency that is relativistic, while in the ultraviolet the scalings appear to
be non-relativistic with dynamical exponent z=2, as expected in the presence of
the irrelevant deformation.
|
[
{
"created": "Tue, 30 Mar 2010 20:00:10 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2010 16:32:25 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Ammon",
"Martin",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Wu",
"Jackson M. S.",
""
]
] |
We use gauge-gravity duality to study the transport properties of a finite density of charge carriers in a strongly-coupled theory with non-relativistic symmetry. The field theory is N=4 supersymmetric SU(Nc) Yang-Mills theory in the limit of large Nc and with large 't Hooft coupling, deformed by an irrelevant operator, coupled to a number Nf of massive N=2 supersymmetric hypermultiplets in the fundamental representation of the gauge group, i.e. flavor fields. The irrelevant deformation breaks the relativistic conformal group down to the Schroedinger group, which has non-relativistic scale invariance with dynamical exponent z=2. Introducing a finite baryon number density of the flavor fields provides us with charge carriers. We compute the associated DC and AC conductivities using the dual gravitational description of probe D7-branes in an asymptotically Schroedinger spacetime. We generically find that in the infrared the conductivity exhibits scaling with temperature or frequency that is relativistic, while in the ultraviolet the scalings appear to be non-relativistic with dynamical exponent z=2, as expected in the presence of the irrelevant deformation.
|
hep-th/0507053
|
Pascal Baseilhac
|
P. Baseilhac, K. Koizumi
|
A deformed analogue of Onsager's symmetry in the XXZ open spin chain
|
12 pages; LaTeX file with amssymb; v2: typos corrected,
clarifications in the text; v3: minor changes in references, version to
appear in JSTAT
|
J.Stat.Mech.0510:P10005,2005
|
10.1088/1742-5468/2005/10/P10005
| null |
hep-th cond-mat.stat-mech math-ph math.MP nlin.SI
| null |
The XXZ open spin chain with general integrable boundary conditions is shown
to possess a q-deformed analogue of the Onsager's algebra as fundamental
non-abelian symmetry which ensures the integrability of the model. This
symmetry implies the existence of a finite set of independent mutually
commuting nonlocal operators which form an abelian subalgebra. The transfer
matrix and local conserved quantities, for instance the Hamiltonian, are
expressed in terms of these nonlocal operators. It follows that Onsager's
original approach of the planar Ising model can be extended to the XXZ open
spin chain.
|
[
{
"created": "Wed, 6 Jul 2005 12:49:05 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2005 10:47:35 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Sep 2005 09:57:17 GMT",
"version": "v3"
}
] |
2011-02-16
|
[
[
"Baseilhac",
"P.",
""
],
[
"Koizumi",
"K.",
""
]
] |
The XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-abelian symmetry which ensures the integrability of the model. This symmetry implies the existence of a finite set of independent mutually commuting nonlocal operators which form an abelian subalgebra. The transfer matrix and local conserved quantities, for instance the Hamiltonian, are expressed in terms of these nonlocal operators. It follows that Onsager's original approach of the planar Ising model can be extended to the XXZ open spin chain.
|
1103.0457
|
Mohammad Reza Setare
|
M. R. Setare and V. Kamali
|
Generalized Massive Gravity and Galilean Conformal Algebra in two
dimensions
|
9 pages
| null |
10.1209/0295-5075/98/31001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Galilean conformal algebra (GCA) in two dimensions arises as contraction of
two copies of the centrally extended Virasoro algebra ($t\rightarrow t,
x\rightarrow\epsilon x$ with $\epsilon\rightarrow 0$). The central charges of
GCA can be expressed in term of Virasoro central charges. For finite and
non-zero GCA central charges, the Virasoro central charges must behave as
asymmetric form $O(1)\pm O(\frac{1}{\epsilon})$. We propose that, the bulk
description for 2d GCA with asymmetric central charges is given by general
massive gravity (GMG) in three dimensions. It can be seen that, if the
gravitational Chern-Simons coupling $\frac{1}{\mu}$ behaves as of order
O($\frac{1}{\epsilon}$) or ($\mu\rightarrow\epsilon\mu$), the central charges
of GMG have the above $\epsilon$ dependence. So, in non-relativistic scaling
limit $\mu\rightarrow\epsilon\mu$, we calculated GCA parameters and finite
entropy in term of gravity parameters mass and angular momentum of GMG.
|
[
{
"created": "Wed, 2 Mar 2011 15:30:16 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Setare",
"M. R.",
""
],
[
"Kamali",
"V.",
""
]
] |
Galilean conformal algebra (GCA) in two dimensions arises as contraction of two copies of the centrally extended Virasoro algebra ($t\rightarrow t, x\rightarrow\epsilon x$ with $\epsilon\rightarrow 0$). The central charges of GCA can be expressed in term of Virasoro central charges. For finite and non-zero GCA central charges, the Virasoro central charges must behave as asymmetric form $O(1)\pm O(\frac{1}{\epsilon})$. We propose that, the bulk description for 2d GCA with asymmetric central charges is given by general massive gravity (GMG) in three dimensions. It can be seen that, if the gravitational Chern-Simons coupling $\frac{1}{\mu}$ behaves as of order O($\frac{1}{\epsilon}$) or ($\mu\rightarrow\epsilon\mu$), the central charges of GMG have the above $\epsilon$ dependence. So, in non-relativistic scaling limit $\mu\rightarrow\epsilon\mu$, we calculated GCA parameters and finite entropy in term of gravity parameters mass and angular momentum of GMG.
|
hep-th/0303013
|
David Justin Raj
|
Justin R. David
|
Plane waves with weak singularities
|
22 pages, Added references and clarifying comments
|
JHEP 0311:064,2003
|
10.1088/1126-6708/2003/11/064
|
IC/2003/13
|
hep-th
| null |
We study a class of time dependent solutions of the vacuum Einstein equations
which are plane waves with weak null singularities. This singularity is weak in
the sense that though the tidal forces diverge at the singularity, the rate of
divergence is such that the distortion suffered by a freely falling observer
remains finite. Among such weak singular plane waves there is a sub-class which
do not exhibit large back reaction in the presence of test scalar probes.
String propagation in these backgrounds is smooth and there is a natural way to
continue the metric beyond the singularity. This continued metric admits string
propagation without the string becoming infinitely excited. We construct a one
parameter family of smooth metrics which are at a finite distance in the space
of metrics from the extended metric and a well defined operator in the string
sigma model which resolves the singularity.
|
[
{
"created": "Mon, 3 Mar 2003 09:13:40 GMT",
"version": "v1"
},
{
"created": "Thu, 1 May 2003 14:12:18 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"David",
"Justin R.",
""
]
] |
We study a class of time dependent solutions of the vacuum Einstein equations which are plane waves with weak null singularities. This singularity is weak in the sense that though the tidal forces diverge at the singularity, the rate of divergence is such that the distortion suffered by a freely falling observer remains finite. Among such weak singular plane waves there is a sub-class which do not exhibit large back reaction in the presence of test scalar probes. String propagation in these backgrounds is smooth and there is a natural way to continue the metric beyond the singularity. This continued metric admits string propagation without the string becoming infinitely excited. We construct a one parameter family of smooth metrics which are at a finite distance in the space of metrics from the extended metric and a well defined operator in the string sigma model which resolves the singularity.
|
1406.0019
|
Alexander Zhidenko
|
R. A. Konoplya and A. Zhidenko
|
Charged scalar field instability between the event and cosmological
horizons
|
6 pages, 6 figures
|
Phys. Rev. D 90, 064048 (2014)
|
10.1103/PhysRevD.90.064048
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a new interesting instability of a charged scalar field in the
Reissner-Nordstr\"om-de Sitter background has been found (arXiv:1405.4931v2)
through the time-domain integration of the perturbation equation. We
investigate further properties of this instability, confirm its existence by
concordant frequency-domain and time-domain calculations and show that it
occurs at however small value of the coupling eQ, where e and Q are charges of
a scalar field and black hole respectively. We also investigate the parametric
region of instability and show that the critical values of eQ at which the
stabilization happens strongly depends on the value of cosmological constant
$\Lambda$ and softly on Q. We show that all the unstable modes are
superradiant, but not all the superradiant modes are unstable. We analytically
prove that superradiance is necessary (but not sufficient) condition for the
instability in this case and, thereby, demonstrate the superradiant origin of
the instability.
|
[
{
"created": "Fri, 30 May 2014 21:41:35 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jun 2014 09:53:01 GMT",
"version": "v2"
}
] |
2014-10-01
|
[
[
"Konoplya",
"R. A.",
""
],
[
"Zhidenko",
"A.",
""
]
] |
Recently, a new interesting instability of a charged scalar field in the Reissner-Nordstr\"om-de Sitter background has been found (arXiv:1405.4931v2) through the time-domain integration of the perturbation equation. We investigate further properties of this instability, confirm its existence by concordant frequency-domain and time-domain calculations and show that it occurs at however small value of the coupling eQ, where e and Q are charges of a scalar field and black hole respectively. We also investigate the parametric region of instability and show that the critical values of eQ at which the stabilization happens strongly depends on the value of cosmological constant $\Lambda$ and softly on Q. We show that all the unstable modes are superradiant, but not all the superradiant modes are unstable. We analytically prove that superradiance is necessary (but not sufficient) condition for the instability in this case and, thereby, demonstrate the superradiant origin of the instability.
|
hep-th/9305129
| null |
Stephane Durand
|
Extended Fractional Supersymmetric Quantum Mechanics
|
12 pages, plain TEX, McGill/93-03
|
Mod. Phys. Lett. A8 (1993) 1795-1804
|
10.1142/S0217732393001513
| null |
hep-th
| null |
Recently, we presented a new class of quantum-mechanical Hamiltonians which
can be written as the $F^{th}$ power of a conserved charge: $H=Q^F$ with
$F=2,3,...\,.$ This construction, called fractional supersymmetric quantum
mechanics, was realized in terms of a paragrassmann variable $\theta$ of order
$F$, which satisfies $\theta^F=0$. Here, we present an alternative realization
of such an algebra in which the internal space of the Hamiltonians is described
by a tensor product of two paragrassmann variables of orders $F$ and $F-1$
respectively. In particular, we find $q$-deformed relations (where $q$ are
roots of unity) between different conserved charges. (To appear in
"Mod.Phys.Lett.A")
|
[
{
"created": "Tue, 25 May 1993 03:41:23 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 1993 04:06:50 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Durand",
"Stephane",
""
]
] |
Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the $F^{th}$ power of a conserved charge: $H=Q^F$ with $F=2,3,...\,.$ This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable $\theta$ of order $F$, which satisfies $\theta^F=0$. Here, we present an alternative realization of such an algebra in which the internal space of the Hamiltonians is described by a tensor product of two paragrassmann variables of orders $F$ and $F-1$ respectively. In particular, we find $q$-deformed relations (where $q$ are roots of unity) between different conserved charges. (To appear in "Mod.Phys.Lett.A")
|
0904.3665
|
Andrey Zayakin
|
A. Gorsky, A. Monin, A. V. Zayakin
|
Correlator of Wilson and t'Hooft Loops at Strong Coupling in
$\mathcal{N}=4$ SYM Theory
|
17 pages, 9 figures
|
Phys.Lett.B679:529-534,2009
|
10.1016/j.physletb.2009.08.017
|
ITEP-TH-10/09, FTPI-MINN-09/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the correlator of a 't Hooft and a Wilson coplanar circular
concentric loops at strong coupling in N=4 SYM theory when it reduces to the
calculation of the composite minimal surface in the curved space with the
proper boundary conditions. The minimal admissible ratio of the radii of 't
Hooft and Wilson loops for such a configuration is found to be
$\mathrm{e}^{-1/2}\approx 0.606$ at zero temperature and the dependence of the
minimal admissible radii ratio on temperature is derived. At low temperatures
the minimal admissible ratio for 't Hooft and Wilson loops remains close to
0.6, whereas at high temperatures $T$ it becomes equal to $\frac{1}{\pi T}$. We
find that at any temperature there exists a phase transition point: beneath
some specific value of 't Hooft loop radius the dual counterpart of Wilson-'t
Hooft correlator is organized as two disconnected surfaces in AdS, whereas for
't Hooft loop radius above it, there exists a connected configuration with a
junction of monopole, charge and dyon surfaces. We suggest a generalization of
the entanglement entropy for charged boundaries and make some comments on its
calculation at strong coupling.
|
[
{
"created": "Thu, 23 Apr 2009 17:10:43 GMT",
"version": "v1"
}
] |
2009-09-28
|
[
[
"Gorsky",
"A.",
""
],
[
"Monin",
"A.",
""
],
[
"Zayakin",
"A. V.",
""
]
] |
We calculate the correlator of a 't Hooft and a Wilson coplanar circular concentric loops at strong coupling in N=4 SYM theory when it reduces to the calculation of the composite minimal surface in the curved space with the proper boundary conditions. The minimal admissible ratio of the radii of 't Hooft and Wilson loops for such a configuration is found to be $\mathrm{e}^{-1/2}\approx 0.606$ at zero temperature and the dependence of the minimal admissible radii ratio on temperature is derived. At low temperatures the minimal admissible ratio for 't Hooft and Wilson loops remains close to 0.6, whereas at high temperatures $T$ it becomes equal to $\frac{1}{\pi T}$. We find that at any temperature there exists a phase transition point: beneath some specific value of 't Hooft loop radius the dual counterpart of Wilson-'t Hooft correlator is organized as two disconnected surfaces in AdS, whereas for 't Hooft loop radius above it, there exists a connected configuration with a junction of monopole, charge and dyon surfaces. We suggest a generalization of the entanglement entropy for charged boundaries and make some comments on its calculation at strong coupling.
|
1904.06924
|
Yang Zhou
|
Yang Zhou
|
$3d$ One-form Mixed Anomaly and Entanglement Entropy
|
27+1 pages
|
JHEP 1907 (2019) 091
|
10.1007/JHEP07(2019)091
| null |
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study mixed anomaly between $G_1$ and $G_2$ of one-form finite symmetry
$G_1\times G_2$ in $3d$ Chern-Simons theories. We assign a quantum entanglement
structure to two linked $G$-symmetry lines (Wilson loops) and compute the
entanglement entropy $S[G]$. We find a measure of the mixed anomaly by
computing $S[G_1\times G_2]-S[G_1]-S[G_2]$.
|
[
{
"created": "Mon, 15 Apr 2019 09:24:05 GMT",
"version": "v1"
}
] |
2019-07-19
|
[
[
"Zhou",
"Yang",
""
]
] |
We study mixed anomaly between $G_1$ and $G_2$ of one-form finite symmetry $G_1\times G_2$ in $3d$ Chern-Simons theories. We assign a quantum entanglement structure to two linked $G$-symmetry lines (Wilson loops) and compute the entanglement entropy $S[G]$. We find a measure of the mixed anomaly by computing $S[G_1\times G_2]-S[G_1]-S[G_2]$.
|
1704.02225
|
Jerzy Kowalski-Glikman
|
Michele Arzano and Jerzy Kowalski-Glikman
|
Noncommutative fields and the short-scale structure of spacetime
|
12 pages, 2 figures
| null |
10.1016/j.physletb.2017.05.047
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There is a growing evidence that due to quantum gravity effects the effective
spacetime dimensionality might change in the UV. In this letter we investigate
this hypothesis by using quantum fields to derive the UV behaviour of the
static, two point sources potential. We mimic quantum gravity effects by using
non-commutative fields associated to a Lie group momentum space with a Planck
mass curvature scale. We find that the static potential becomes finite in the
short-distance limit. This indicates that quantum gravity effects lead to a
dimensional reduction in the UV or, alternatively, that point-like sources are
effectively smoothed out by the Planck scale features of the non-commutative
quantum fields.
|
[
{
"created": "Fri, 7 Apr 2017 13:31:23 GMT",
"version": "v1"
}
] |
2017-05-24
|
[
[
"Arzano",
"Michele",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
]
] |
There is a growing evidence that due to quantum gravity effects the effective spacetime dimensionality might change in the UV. In this letter we investigate this hypothesis by using quantum fields to derive the UV behaviour of the static, two point sources potential. We mimic quantum gravity effects by using non-commutative fields associated to a Lie group momentum space with a Planck mass curvature scale. We find that the static potential becomes finite in the short-distance limit. This indicates that quantum gravity effects lead to a dimensional reduction in the UV or, alternatively, that point-like sources are effectively smoothed out by the Planck scale features of the non-commutative quantum fields.
|
2207.03134
|
Varghese Mathai
|
Fei Han (NUS) and Varghese Mathai (U. Adelaide)
|
T-duality with $H$-flux for $2d$ $\sigma$-models
|
22pp. Section 1.3 added, giving a simpler, equivalent construction of
the line bundle on LLM
| null | null | null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we establish graded T-duality for $2d$ $\sigma$-models with
$H$-flux after localization. This establishes the most general version of
T-duality for Type II String Theory. The graded T-duality map, which we call
{\bf graded Hori morphism}, is compatible with the Jacobi property of the
graded fields, that was earlier studied in \cite{HM21}. Also included are some
open problems/conjectures.
|
[
{
"created": "Thu, 7 Jul 2022 07:49:10 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2022 05:40:02 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Feb 2023 21:15:11 GMT",
"version": "v3"
}
] |
2023-02-28
|
[
[
"Han",
"Fei",
"",
"NUS"
],
[
"Mathai",
"Varghese",
"",
"U. Adelaide"
]
] |
In this paper, we establish graded T-duality for $2d$ $\sigma$-models with $H$-flux after localization. This establishes the most general version of T-duality for Type II String Theory. The graded T-duality map, which we call {\bf graded Hori morphism}, is compatible with the Jacobi property of the graded fields, that was earlier studied in \cite{HM21}. Also included are some open problems/conjectures.
|
1108.4345
|
Michael P. Fry
|
M. P. Fry
|
Stability of QED
| null | null |
10.1103/PhysRevD.84.065021
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown for a class of random, time-independent, square-integrable,
three-dimensional magnetic fields that the one-loop effective fermion action of
four-dimensional QED increases faster than a quadratic in B in the strong
coupling limit. The limit is universal. The result relies on the paramagnetism
of charged spin - 1/2 fermions and the diamagnetism of charged scalar bosons.
|
[
{
"created": "Mon, 22 Aug 2011 15:24:53 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2012 19:48:00 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Fry",
"M. P.",
""
]
] |
It is shown for a class of random, time-independent, square-integrable, three-dimensional magnetic fields that the one-loop effective fermion action of four-dimensional QED increases faster than a quadratic in B in the strong coupling limit. The limit is universal. The result relies on the paramagnetism of charged spin - 1/2 fermions and the diamagnetism of charged scalar bosons.
|
2206.15262
|
Wen-Yu Wen
|
Chi-Hsien Tai, Sayid Mondal, Wen-Yu Wen
|
Open String Probe in Soft Hair BTZ
|
8 pages, 2 figures
|
Chinese Journal of Physics, Vol. 79, Oct. 2022, pp 1-5
|
10.1016/j.cjph.2022.07.015
|
CYCU-HEP-22-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the boundary CFT under supertranslation in terms of the AdS/CFT
correspondence. In particular, we probe the soft hair BTZ background by several
open string configurations as follows. The Ryu-Takayanaki formula of
holographic entanglement remains intact under supertranslation. The U-shape
string probe indicates that the flat part of meson potential is altered by the
soft charge. The trailing string solution shows that the hair parameter plays
the role of external field in the drag force. The study of hanging string in
the Brownian motion suggests the transport variables, such as friction
coefficient are likely affected by supertranslation.
|
[
{
"created": "Thu, 30 Jun 2022 13:11:48 GMT",
"version": "v1"
}
] |
2022-08-30
|
[
[
"Tai",
"Chi-Hsien",
""
],
[
"Mondal",
"Sayid",
""
],
[
"Wen",
"Wen-Yu",
""
]
] |
We study the boundary CFT under supertranslation in terms of the AdS/CFT correspondence. In particular, we probe the soft hair BTZ background by several open string configurations as follows. The Ryu-Takayanaki formula of holographic entanglement remains intact under supertranslation. The U-shape string probe indicates that the flat part of meson potential is altered by the soft charge. The trailing string solution shows that the hair parameter plays the role of external field in the drag force. The study of hanging string in the Brownian motion suggests the transport variables, such as friction coefficient are likely affected by supertranslation.
|
1009.4369
|
Minjoon Park
|
Minjoon Park
|
Quantum Aspects of Massive Gravity
|
1+18pp
|
Class.Quant.Grav.28:105012,2011
|
10.1088/0264-9381/28/10/105012
|
MCTP-10-43
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the effect of quantum interactions on Pauli-Fierz massive
gravity. With generic graviton cubic interactions, we observe that the 1-loop
counterterms do not conform to the tree level structure of Pauli-Fierz action,
resulting in the reappearance of the 6th mode ghost. Then to explore the
quantum effects to the full extent, we calculate the resummed graviton
propagator with an arbitrary interaction and analyze its complete structure,
from which a minimal condition for the absence of the ghost is obtained.
|
[
{
"created": "Wed, 22 Sep 2010 14:23:15 GMT",
"version": "v1"
}
] |
2011-04-20
|
[
[
"Park",
"Minjoon",
""
]
] |
We consider the effect of quantum interactions on Pauli-Fierz massive gravity. With generic graviton cubic interactions, we observe that the 1-loop counterterms do not conform to the tree level structure of Pauli-Fierz action, resulting in the reappearance of the 6th mode ghost. Then to explore the quantum effects to the full extent, we calculate the resummed graviton propagator with an arbitrary interaction and analyze its complete structure, from which a minimal condition for the absence of the ghost is obtained.
|
1703.03879
|
Yusuke Yamada
|
Daniel Z. Freedman, Renata Kallosh, Divyanshu Murli, Antoine Van
Proeyen, Yusuke Yamada
|
Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\geq 5$
Supergravities
|
32 pages, v2:typo corrected, reference added, v3:typos corrected
|
JHEP 1705 (2017) 067
|
10.1007/JHEP05(2017)067
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We list all potential candidates for U(1) anomalous non-local 1-loop 4-point
amplitudes and higher loop UV divergences in $\mathcal{N}\geq 5$
supergravities. The relevant chiral superinvariants are constructed from
linearized chiral superfields and define the corresponding superamplitudes. The
anomalous amplitudes, of the kind present in $\mathcal{N}=4$, are shown to be
absent in $\mathcal{N} \geq 5$. In $\mathcal{N}=6$ supergravity the result is
deduced from the double-copy $\mathcal{N}=4_{YM} \times (\mathcal{N}=2)_{YM}$
model, whereas in $\mathcal{N}=5,8$ the result on absence of anomalous
amplitudes is derived in supergravities as well as in the $(\mathcal{N}=4)_{YM}
\times (\mathcal{N}-4)_{YM}$ double-copy models.
|
[
{
"created": "Sat, 11 Mar 2017 00:31:29 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Apr 2017 22:52:54 GMT",
"version": "v2"
},
{
"created": "Fri, 19 May 2017 03:56:12 GMT",
"version": "v3"
}
] |
2017-05-22
|
[
[
"Freedman",
"Daniel Z.",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Murli",
"Divyanshu",
""
],
[
"Van Proeyen",
"Antoine",
""
],
[
"Yamada",
"Yusuke",
""
]
] |
We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in $\mathcal{N}\geq 5$ supergravities. The relevant chiral superinvariants are constructed from linearized chiral superfields and define the corresponding superamplitudes. The anomalous amplitudes, of the kind present in $\mathcal{N}=4$, are shown to be absent in $\mathcal{N} \geq 5$. In $\mathcal{N}=6$ supergravity the result is deduced from the double-copy $\mathcal{N}=4_{YM} \times (\mathcal{N}=2)_{YM}$ model, whereas in $\mathcal{N}=5,8$ the result on absence of anomalous amplitudes is derived in supergravities as well as in the $(\mathcal{N}=4)_{YM} \times (\mathcal{N}-4)_{YM}$ double-copy models.
|
hep-th/0503136
|
Ludde Edgren
|
Ludde Edgren, Robert Marnelius, Per Salomonson
|
Infinite spin particles
|
43 pages, Latex
|
JHEP 0505 (2005) 002
|
10.1088/1126-6708/2005/05/002
| null |
hep-th
| null |
We show that Wigner's infinite spin particle classically is described by a
reparametrization invariant higher order geometrical Lagrangian. The model
exhibit unconventional features like tachyonic behaviour and momenta
proportional to light-like accelerations. A simple higher order superversion
for half-odd integer particles is also derived. Interaction with external
vector fields and curved spacetimes are analyzed with negative results except
for (anti)de Sitter spacetimes. We quantize the free theories covariantly and
show that the resulting wave functions are fields containing arbitrary large
spins. Closely related infinite spin particle models are also analyzed.
|
[
{
"created": "Thu, 17 Mar 2005 14:44:21 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Edgren",
"Ludde",
""
],
[
"Marnelius",
"Robert",
""
],
[
"Salomonson",
"Per",
""
]
] |
We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical Lagrangian. The model exhibit unconventional features like tachyonic behaviour and momenta proportional to light-like accelerations. A simple higher order superversion for half-odd integer particles is also derived. Interaction with external vector fields and curved spacetimes are analyzed with negative results except for (anti)de Sitter spacetimes. We quantize the free theories covariantly and show that the resulting wave functions are fields containing arbitrary large spins. Closely related infinite spin particle models are also analyzed.
|
1002.1550
|
Yu-Xiao Liu
|
Shao-Wen Wei, Yu-Xiao Liu, Yong-Qiang Wang, Heng Guo
|
Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz
gravity
|
5 pages, 3 figures
|
Europhys.Lett. 99 (2012) 20004
|
10.1209/0295-5075/99/20004
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the thermodynamic geometry and phase transition of
Kehagias-Sfetsos black hole in the deformed Horava-Lifshitz gravity with
coupling constant $\lambda=1$. The phase transition in black hole
thermodynamics is thought to be associated with the divergence of the
capacities. And the structures of these divergent points are studied. We also
find that the thermodynamic curvature produced by the Ruppeiner metric is
positive definite for all $r_+ > r_-$ and is divergence at $\eta_2=0$
corresponded to the divergent points of $C_{\Phi}$ and $C_T$. These results
suggest that the microstructure of the black hole has an effective repulsive
interaction, which is very similar to the ideal gas of fermions. These may
shine some light on the microstructure of the black hole.
|
[
{
"created": "Mon, 8 Feb 2010 08:54:38 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Mar 2010 16:19:02 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jun 2012 06:53:33 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Oct 2012 03:04:18 GMT",
"version": "v4"
}
] |
2015-03-13
|
[
[
"Wei",
"Shao-Wen",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Wang",
"Yong-Qiang",
""
],
[
"Guo",
"Heng",
""
]
] |
We investigate the thermodynamic geometry and phase transition of Kehagias-Sfetsos black hole in the deformed Horava-Lifshitz gravity with coupling constant $\lambda=1$. The phase transition in black hole thermodynamics is thought to be associated with the divergence of the capacities. And the structures of these divergent points are studied. We also find that the thermodynamic curvature produced by the Ruppeiner metric is positive definite for all $r_+ > r_-$ and is divergence at $\eta_2=0$ corresponded to the divergent points of $C_{\Phi}$ and $C_T$. These results suggest that the microstructure of the black hole has an effective repulsive interaction, which is very similar to the ideal gas of fermions. These may shine some light on the microstructure of the black hole.
|
hep-th/0602185
|
Dmitri Vassilevich
|
D. V. Vassilevich
|
Twist to close
|
5 pages, added references; v3: added more references and comments, to
appear in MPLA
|
Mod.Phys.Lett.A21:1279-1284,2006
|
10.1142/S0217732306020755
| null |
hep-th
| null |
It has been proposed that the Poincare and some other symmetries of
noncommutative field theories should be twisted. Here we extend this idea to
gauge transformations and find that twisted gauge symmetries close for
arbitrary gauge group. We also analyse twisted-invariant actions in
noncommutative theories.
|
[
{
"created": "Sun, 19 Feb 2006 15:31:46 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2006 16:09:46 GMT",
"version": "v2"
},
{
"created": "Tue, 23 May 2006 15:05:47 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Vassilevich",
"D. V.",
""
]
] |
It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge symmetries close for arbitrary gauge group. We also analyse twisted-invariant actions in noncommutative theories.
|
0902.1122
|
Anzor Khelashvili A.
|
Anzor Khelashvili, Tamar Khachidze
|
Coulomb Potential and Witten Superalgebra
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The additional hidden symmetry of the Coulomb-Kepler problem is reviewed in
classical as well as in quantum mechanics. The main purpose is to elucidate the
role of this kind of symmetries in the reduction of physical problems, to show
algebraic possibilities of derivation of spectra. The original results are
presented also. They are hidden symmetries in the Dirac equation, where it is
shown that the requirement of invariance of the Dirac Hamiltonian under some
kind of Witten's superalgebra, picks out the Coulomb potential only. The
problem in the arbitrary higher dimensions is also considered. It is derived
that the traditional view on the Coulomb potential is to be changed in the
context of N=2 supersymmetry
|
[
{
"created": "Fri, 6 Feb 2009 15:40:04 GMT",
"version": "v1"
}
] |
2009-02-09
|
[
[
"Khelashvili",
"Anzor",
""
],
[
"Khachidze",
"Tamar",
""
]
] |
The additional hidden symmetry of the Coulomb-Kepler problem is reviewed in classical as well as in quantum mechanics. The main purpose is to elucidate the role of this kind of symmetries in the reduction of physical problems, to show algebraic possibilities of derivation of spectra. The original results are presented also. They are hidden symmetries in the Dirac equation, where it is shown that the requirement of invariance of the Dirac Hamiltonian under some kind of Witten's superalgebra, picks out the Coulomb potential only. The problem in the arbitrary higher dimensions is also considered. It is derived that the traditional view on the Coulomb potential is to be changed in the context of N=2 supersymmetry
|
hep-th/9206034
|
Tomoki Nakanishi
|
Atsuo Kuniba and Tomoki Nakanishi
|
Spectra in Conformal Field Theories from the Rogers Dilogarithm
|
10 pages, MRR-009-92, SMS-042-92
|
Mod.Phys.Lett. A7 (1992) 3487-3494
|
10.1142/S0217732392002895
| null |
hep-th
| null |
We propose a system of functional relations having a universal form connected
to the $U_q(X^{(1)}_r)$ Bethe ansatz equation. Based on the analysis of it, we
conjecture a new sum formula for the Rogers dilogarithm function in terms of
the scaling dimensions of the $X^{(1)}_r$ parafermion conformal field theory.
|
[
{
"created": "Tue, 9 Jun 1992 08:22:15 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Kuniba",
"Atsuo",
""
],
[
"Nakanishi",
"Tomoki",
""
]
] |
We propose a system of functional relations having a universal form connected to the $U_q(X^{(1)}_r)$ Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the $X^{(1)}_r$ parafermion conformal field theory.
|
hep-th/0110225
|
Damien A. Easson
|
Damien A. Easson
|
Brane Gases on K3 and Calabi-Yau Manifolds
|
26 pages; Significant revisions: review material truncated;
presentation improved
|
Int.J.Mod.Phys. A18 (2003) 4295-4314
|
10.1142/S0217751X03015957
|
MCGILL 01-22
|
hep-th astro-ph gr-qc hep-ph
| null |
We initiate the study of Brane Gas Cosmology (BGC) on manifolds with
non-trivial holonomy. Such compactifications are required within the context of
superstring theory in order to make connections with realistic particle
physics. We study the dynamics of brane gases constructed from various string
theories on background spaces having a K3 submanifold. The K3 compactifications
provide a stepping stone for generalising the model to the case of a full
Calabi-Yau three-fold. Duality symmetries are discussed within a cosmological
context. Using a duality, we arrive at an N=2 theory in four-dimensions
compactified on a Calabi-Yau manifold with SU(3) holonomy. We argue that the
Brane Gas model compactified on such spaces maintains the successes of the
trivial toroidal compactification while greatly enhancing its connection to
particle physics. The initial state of the universe is taken to be a small, hot
and dense gas of p-branes near thermal equilibrium. The universe has no initial
singularity and the dynamics of string winding modes allow three spatial
dimensions to grow large, providing a possible solution to the dimensionality
problem of string theory.
|
[
{
"created": "Wed, 24 Oct 2001 19:54:27 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2001 20:25:11 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Apr 2002 19:23:19 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Easson",
"Damien A.",
""
]
] |
We initiate the study of Brane Gas Cosmology (BGC) on manifolds with non-trivial holonomy. Such compactifications are required within the context of superstring theory in order to make connections with realistic particle physics. We study the dynamics of brane gases constructed from various string theories on background spaces having a K3 submanifold. The K3 compactifications provide a stepping stone for generalising the model to the case of a full Calabi-Yau three-fold. Duality symmetries are discussed within a cosmological context. Using a duality, we arrive at an N=2 theory in four-dimensions compactified on a Calabi-Yau manifold with SU(3) holonomy. We argue that the Brane Gas model compactified on such spaces maintains the successes of the trivial toroidal compactification while greatly enhancing its connection to particle physics. The initial state of the universe is taken to be a small, hot and dense gas of p-branes near thermal equilibrium. The universe has no initial singularity and the dynamics of string winding modes allow three spatial dimensions to grow large, providing a possible solution to the dimensionality problem of string theory.
|
1212.5967
|
Brett D. Altschul
|
Brett Altschul
|
Coupling Right- and Left-Handed Photons Differently to Charged Matter
|
12 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a modification of electrodynamics in which right- and
left-circularly polarized photons are coupled to charged sources differently.
Even though photon helicity is a Lorentz invariant quantity, such a
modification breaks Lorentz symmetry, as well as locality. The modified theory
includes novel magnetic forces between perpendicular currents. Existing data
can be used to constrain the modification at approximately a 2 x 10^(-3) level.
|
[
{
"created": "Mon, 24 Dec 2012 21:45:12 GMT",
"version": "v1"
}
] |
2012-12-27
|
[
[
"Altschul",
"Brett",
""
]
] |
We consider a modification of electrodynamics in which right- and left-circularly polarized photons are coupled to charged sources differently. Even though photon helicity is a Lorentz invariant quantity, such a modification breaks Lorentz symmetry, as well as locality. The modified theory includes novel magnetic forces between perpendicular currents. Existing data can be used to constrain the modification at approximately a 2 x 10^(-3) level.
|
2110.15164
|
Joaquin Liniado
|
Joaquin Liniado
|
Two Dimensional Conformal Field Theory and a Primer to Chiral Algebras
|
66 pages, 3 figures
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We review various aspects of two dimensional conformal field theories paying
close attention to the algebraic structures that intervene. We provide a
compact description regarding the appearance of a chiral algebra as the
symmetry algebra related to local conformal symmetry, namely the Virasoro
algebra. We then introduce two dimensional conformal field theories with
additional symmetries in which extended chiral algebras emerge as a natural
generalization of the conformal case.
|
[
{
"created": "Thu, 28 Oct 2021 14:40:47 GMT",
"version": "v1"
}
] |
2021-10-29
|
[
[
"Liniado",
"Joaquin",
""
]
] |
We review various aspects of two dimensional conformal field theories paying close attention to the algebraic structures that intervene. We provide a compact description regarding the appearance of a chiral algebra as the symmetry algebra related to local conformal symmetry, namely the Virasoro algebra. We then introduce two dimensional conformal field theories with additional symmetries in which extended chiral algebras emerge as a natural generalization of the conformal case.
|
hep-th/0312016
|
Marco Toller
|
M. Toller
|
Geometries of Maximal Acceleration
|
21 pages, LaTex, no figures, notations changed, some remarks and some
new references added
| null | null | null |
hep-th
| null |
We discuss and compare several geometric structures which imply an upper
bound to the acceleration of a particle measured in its rest system. While all
of them have the same implications on the motion of a point particle, they
differ in other important respects. In particular, they have different symmetry
groups, which influence in a different way the search for an underlying
dynamical theory.
|
[
{
"created": "Mon, 1 Dec 2003 18:03:43 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jan 2004 19:11:43 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Toller",
"M.",
""
]
] |
We discuss and compare several geometric structures which imply an upper bound to the acceleration of a particle measured in its rest system. While all of them have the same implications on the motion of a point particle, they differ in other important respects. In particular, they have different symmetry groups, which influence in a different way the search for an underlying dynamical theory.
|
1103.5297
|
Ahmed Jellal
|
Ahmed Jellal, Abderrahim El Mouhafid, Mohammed Daoud
|
Massless Dirac Fermions in Electromagnetic Field
|
15 pages, 3 tables, 1 figure, clarifications and references added,
misprints corrected. Version published in JSTAT
|
J.Stat.Mech.:P01021,2012
|
10.1088/1742-5468/2012/01/P01021
| null |
hep-th cond-mat.mes-hall math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relations between massless Dirac fermions in an electromagnetic
field and atoms in quantum optics. After getting the solutions of the energy
spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian,
with all its quantum relativistic effects, in a controllable system as a single
trapped ion through the Jaynes--Cummings and anti-Jaynes--Cummings models. Also
we show that under certain conditions the evolution of the Dirac Hamiltonian
provides us with Rashba spin-orbit and linear Dresselhaus couplings.
Considering the multimode multiphoton Jaynes-Cummings model interacting with N
modes of electromagnetic field prepared in general pure quantum states, we
analyze the Rabi oscillation. Evaluating time evolution of the Dirac position
operator, we determine the Zitterbewegung frequency and the corresponding
oscillating term as function of the electromagnetic field.
|
[
{
"created": "Mon, 28 Mar 2011 08:11:06 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Feb 2012 07:47:35 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Jellal",
"Ahmed",
""
],
[
"Mouhafid",
"Abderrahim El",
""
],
[
"Daoud",
"Mohammed",
""
]
] |
We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all its quantum relativistic effects, in a controllable system as a single trapped ion through the Jaynes--Cummings and anti-Jaynes--Cummings models. Also we show that under certain conditions the evolution of the Dirac Hamiltonian provides us with Rashba spin-orbit and linear Dresselhaus couplings. Considering the multimode multiphoton Jaynes-Cummings model interacting with N modes of electromagnetic field prepared in general pure quantum states, we analyze the Rabi oscillation. Evaluating time evolution of the Dirac position operator, we determine the Zitterbewegung frequency and the corresponding oscillating term as function of the electromagnetic field.
|
2406.06875
|
Frank Ferrari
|
Frank Ferrari (ULB and Int. Solvay Inst.)
|
Random Disks of Constant Curvature: the Lattice Story
|
141 pages, 21 figures
| null | null | null |
hep-th hep-lat math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We lay the groundwork for a UV-complete formulation of the Euclidean
Jackiw-Teitelboim two-dimensional models of quantum gravity when the boundary
lengths are finite, emphasizing the discretized approach. The picture that
emerges is qualitatively new. For the disk topology, the problem reduces to
counting so-called self-overlapping curves, that are closed loops that bound a
distorted disk, with an appropriate multiplicity. We build a matrix model that
does the correct counting. The theories in negative, zero and positive
curvatures have the same UV description but drastically different macroscopic
properties. The Schwarzian theory emerges in the limit of very large and
negative cosmological constant in the negative curvature model, as an effective
theory valid on distance scales much larger than the curvature length scale. In
positive curvature, we argue that large geometries are ubiquitous and that the
theory exists only for positive cosmological constant. Our discussion is
pedagogical and includes a review of several relevant topics.
|
[
{
"created": "Tue, 11 Jun 2024 01:26:24 GMT",
"version": "v1"
}
] |
2024-06-12
|
[
[
"Ferrari",
"Frank",
"",
"ULB and Int. Solvay Inst."
]
] |
We lay the groundwork for a UV-complete formulation of the Euclidean Jackiw-Teitelboim two-dimensional models of quantum gravity when the boundary lengths are finite, emphasizing the discretized approach. The picture that emerges is qualitatively new. For the disk topology, the problem reduces to counting so-called self-overlapping curves, that are closed loops that bound a distorted disk, with an appropriate multiplicity. We build a matrix model that does the correct counting. The theories in negative, zero and positive curvatures have the same UV description but drastically different macroscopic properties. The Schwarzian theory emerges in the limit of very large and negative cosmological constant in the negative curvature model, as an effective theory valid on distance scales much larger than the curvature length scale. In positive curvature, we argue that large geometries are ubiquitous and that the theory exists only for positive cosmological constant. Our discussion is pedagogical and includes a review of several relevant topics.
|
1406.0850
|
Guglielmo Lockhart
|
Babak Haghighat, Guglielmo Lockhart, Cumrun Vafa
|
E + E $\rightarrow$ H
|
38+1 pages, 6 figures; minor corrections
|
Phys. Rev. D 90, 126012 (2014)
|
10.1103/PhysRevD.90.126012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
E-strings arise from M2 branes suspended between an M5 brane and an M9 plane.
In this paper we obtain explicit expressions for the elliptic genus of two
E-strings using a series of string dualities. Moreover we show how this can be
used to recover the elliptic genus of two $E_8\times E_8$ heterotic strings
using the Horava-Witten realization of heterotic strings in M-theory. This
involves highly non-trivial identities among Jacobi forms, and is remarkable in
light of the fact that E-strings are 'sticky' and form bound states whereas
heterotic strings do not form bound states.
|
[
{
"created": "Tue, 3 Jun 2014 20:00:21 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2014 21:39:11 GMT",
"version": "v2"
}
] |
2015-01-07
|
[
[
"Haghighat",
"Babak",
""
],
[
"Lockhart",
"Guglielmo",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
E-strings arise from M2 branes suspended between an M5 brane and an M9 plane. In this paper we obtain explicit expressions for the elliptic genus of two E-strings using a series of string dualities. Moreover we show how this can be used to recover the elliptic genus of two $E_8\times E_8$ heterotic strings using the Horava-Witten realization of heterotic strings in M-theory. This involves highly non-trivial identities among Jacobi forms, and is remarkable in light of the fact that E-strings are 'sticky' and form bound states whereas heterotic strings do not form bound states.
|
hep-th/9912235
|
Dirk Schlingemann
|
Dirk Schlingemann
|
Euclidean field theory on a sphere
|
20 pages
| null | null | null |
hep-th
| null |
This paper is concerned with a structural analysis of euclidean field
theories on the euclidean sphere. In the first section we give proposal for
axioms for a euclidean field theory on a sphere in terms of C*-algebras.
Then, in the second section, we investigate the short-distance behavior of
euclidean field theory models on the sphere by making use of the concept of
{\em scaling algebras}, which has first been introduced by D. Buchholz, and R.
Verch and which has also be applied to euclidean field theories on flat
euclidean space in a previous paper. We establish the expected statement that
that scaling limit theories of euclidean field theories on a sphere are
euclidean field theories on flat euclidean space.
Keeping in mind that the minkowskian analogue of the euclidean sphere is the
de Sitter space, we develop a Osterwalder-Schrader type construction scheme
which assigns to a given euclidean field theory on the sphere a quantum field
theory on de Sitter space. We show that the constructed quantum field
theoretical data fulfills the so called geodesic KMS condition in the sense of
H. J. Borchers and D. Buchholz, i.e. for any geodesic observer the system looks
like a system within a thermal equilibrium state.
|
[
{
"created": "Thu, 23 Dec 1999 13:29:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schlingemann",
"Dirk",
""
]
] |
This paper is concerned with a structural analysis of euclidean field theories on the euclidean sphere. In the first section we give proposal for axioms for a euclidean field theory on a sphere in terms of C*-algebras. Then, in the second section, we investigate the short-distance behavior of euclidean field theory models on the sphere by making use of the concept of {\em scaling algebras}, which has first been introduced by D. Buchholz, and R. Verch and which has also be applied to euclidean field theories on flat euclidean space in a previous paper. We establish the expected statement that that scaling limit theories of euclidean field theories on a sphere are euclidean field theories on flat euclidean space. Keeping in mind that the minkowskian analogue of the euclidean sphere is the de Sitter space, we develop a Osterwalder-Schrader type construction scheme which assigns to a given euclidean field theory on the sphere a quantum field theory on de Sitter space. We show that the constructed quantum field theoretical data fulfills the so called geodesic KMS condition in the sense of H. J. Borchers and D. Buchholz, i.e. for any geodesic observer the system looks like a system within a thermal equilibrium state.
|
hep-th/0607121
|
Charles Schwartz
|
Charles Schwartz
|
A Relativistic Quaternionic Wave Equation
|
19 pages; minor corrections in Section 11 and Appendix A
|
J.Math.Phys.47:122301,2006
|
10.1063/1.2397555
| null |
hep-th
| null |
We study a one-component quaternionic wave equation which is relativistically
covariant. Bi-linear forms include a conserved 4-current and an antisymmetric
second rank tensor. Waves propagate within the light-cone and there is a
conserved quantity which looks like helicity. The principle of superposition is
retained in a slightly altered manner. External potentials can be introduced in
a way that allows for gauge invariance. There are some results for scattering
theory and for two-particle wavefunctions as well as the beginnings of second
quantization. However, we are unable to find a suitable Lagrangian or an
energy-momentum tensor.
|
[
{
"created": "Tue, 18 Jul 2006 23:09:40 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Aug 2006 17:36:28 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Sep 2006 14:41:45 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Sep 2006 15:57:45 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Schwartz",
"Charles",
""
]
] |
We study a one-component quaternionic wave equation which is relativistically covariant. Bi-linear forms include a conserved 4-current and an antisymmetric second rank tensor. Waves propagate within the light-cone and there is a conserved quantity which looks like helicity. The principle of superposition is retained in a slightly altered manner. External potentials can be introduced in a way that allows for gauge invariance. There are some results for scattering theory and for two-particle wavefunctions as well as the beginnings of second quantization. However, we are unable to find a suitable Lagrangian or an energy-momentum tensor.
|
2011.06003
|
Noam Chai
|
Noam Chai, Eliezer Rabinovici, Ritam Sinha and Michael Smolkin
|
The bi-conical vector model at $1/N$
|
35 pages, minor revisions; references updated; accepted for
publication to JHEP
| null |
10.1007/JHEP05(2021)192
| null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We study finite $N$ aspects of the $O(m)\times O(N-m)$ vector model with
quartic interactions in general $2\leq d \leq 6$ spacetime dimensions. This
model has recently been shown to display the phenomenon of persistent symmetry
breaking at a perturbative Wilson-Fisher-like fixed point in $d=4-\epsilon$
dimensions. The large rank limit of the bi-conical model displays a conformal
manifold and a moduli space of vacua. We find a set of three double trace
scalar operators that are respectively irrelevant, relevant and marginal
deformations of the conformal manifold in general $d$. We calculate the
anomalous dimensions of the single and multi-trace scalar operators to the
first sub-leading order in the large rank expansion. The anomalous dimension of
the marginal operator does not vanish in general, indicating that the conformal
manifold is lifted at finite $N$. In the case of equal ranks we are able to
derive explicitly the scaling dimensions of various operators as functions of
only $d$.
|
[
{
"created": "Wed, 11 Nov 2020 19:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2021 11:05:45 GMT",
"version": "v2"
},
{
"created": "Thu, 6 May 2021 11:05:17 GMT",
"version": "v3"
}
] |
2023-01-11
|
[
[
"Chai",
"Noam",
""
],
[
"Rabinovici",
"Eliezer",
""
],
[
"Sinha",
"Ritam",
""
],
[
"Smolkin",
"Michael",
""
]
] |
We study finite $N$ aspects of the $O(m)\times O(N-m)$ vector model with quartic interactions in general $2\leq d \leq 6$ spacetime dimensions. This model has recently been shown to display the phenomenon of persistent symmetry breaking at a perturbative Wilson-Fisher-like fixed point in $d=4-\epsilon$ dimensions. The large rank limit of the bi-conical model displays a conformal manifold and a moduli space of vacua. We find a set of three double trace scalar operators that are respectively irrelevant, relevant and marginal deformations of the conformal manifold in general $d$. We calculate the anomalous dimensions of the single and multi-trace scalar operators to the first sub-leading order in the large rank expansion. The anomalous dimension of the marginal operator does not vanish in general, indicating that the conformal manifold is lifted at finite $N$. In the case of equal ranks we are able to derive explicitly the scaling dimensions of various operators as functions of only $d$.
|
1403.5395
|
Javier Molina Dr
|
Javier Molina-Vilaplana, Javier Prior
|
Entanglement, Tensor Networks and Black Hole Horizons
|
23 pages, 8 figures, JHEP style, Comments are wellcome
|
Gen.Relativ.Gravit(2014)46:1823
|
10.1007/s10714-014-1823-y
| null |
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate on a previous proposal by Hartman and Maldacena on a tensor
network which accounts for the scaling of the entanglement entropy in a system
at a finite temperature. In this construction, the ordinary entanglement
renormalization flow given by the class of tensor networks known as the Multi
Scale Entanglement Renormalization Ansatz (MERA), is supplemented by an
additional entanglement structure at the length scale fixed by the temperature.
The network comprises two copies of a MERA circuit with a fixed number of
layers and a pure matrix product state which joins both copies by entangling
the infrared degrees of freedom of both MERA networks. The entanglement
distribution within this bridge state defines reduced density operators on both
sides which cause analogous effects to the presence of a black hole horizon
when computing the entanglement entropy at finite temperature in the AdS/CFT
correspondence. The entanglement and correlations during the thermalization
process of a system after a quantum quench are also analyzed. To this end, a
full tensor network representation of the action of local unitary operations on
the bridge state is proposed. This amounts to a tensor network which grows in
size by adding succesive layers of bridge states. Finally, we discuss on the
holographic interpretation of the tensor network through a notion of distance
within the network which emerges from its entanglement distribution.
|
[
{
"created": "Fri, 21 Mar 2014 08:37:34 GMT",
"version": "v1"
}
] |
2014-11-04
|
[
[
"Molina-Vilaplana",
"Javier",
""
],
[
"Prior",
"Javier",
""
]
] |
We elaborate on a previous proposal by Hartman and Maldacena on a tensor network which accounts for the scaling of the entanglement entropy in a system at a finite temperature. In this construction, the ordinary entanglement renormalization flow given by the class of tensor networks known as the Multi Scale Entanglement Renormalization Ansatz (MERA), is supplemented by an additional entanglement structure at the length scale fixed by the temperature. The network comprises two copies of a MERA circuit with a fixed number of layers and a pure matrix product state which joins both copies by entangling the infrared degrees of freedom of both MERA networks. The entanglement distribution within this bridge state defines reduced density operators on both sides which cause analogous effects to the presence of a black hole horizon when computing the entanglement entropy at finite temperature in the AdS/CFT correspondence. The entanglement and correlations during the thermalization process of a system after a quantum quench are also analyzed. To this end, a full tensor network representation of the action of local unitary operations on the bridge state is proposed. This amounts to a tensor network which grows in size by adding succesive layers of bridge states. Finally, we discuss on the holographic interpretation of the tensor network through a notion of distance within the network which emerges from its entanglement distribution.
|
hep-th/0004083
|
Marty Stock
|
R. Jackiw and A.P. Polychronakos
|
Supersymmetric Fluid Mechanics
|
12 pages, REVtex, amssym macros; publication version for Phys Rev D;
email to jackiw@mitlns.mit.edu
|
Phys.Rev. D62 (2000) 085019
|
10.1103/PhysRevD.62.085019
|
MIT-CTP-2943
|
hep-th math-ph math.MP physics.flu-dyn
| null |
When anticommuting Grassmann variables are introduced into a fluid dynamical
model with irrotational velocity and no vorticity, the velocity acquires a
nonvanishing curl and the resultant vorticity is described by Gaussian
potentials formed from the Grassmann variables. Upon adding a further specific
interaction with the Grassmann degrees of freedom, the model becomes
supersymmetric.
|
[
{
"created": "Tue, 11 Apr 2000 20:36:35 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2000 20:31:27 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Jul 2000 20:17:40 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Jackiw",
"R.",
""
],
[
"Polychronakos",
"A. P.",
""
]
] |
When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.
|
hep-th/0311166
|
Alexei Semikhatov
|
AM Semikhatov and A Taormina
|
Twists and singular vectors in ^sl(2|1) representations
|
amsart, times. 20pp
|
Theor.Math.Phys. 128 (2001) 1236-1251
| null | null |
hep-th
| null |
We propose new formulas for singular vectors in Verma modules over the affine
Lie superalgebra $\hat{sl}(2|1)$. We analyze the coexistence of singular
vectors of different types and identify the twisted modules $N_{h,k;\theta}$
arising as submodules and quotient modules of $\hat{sl}(2|1)$ Verma modules. We
show that with the twists (spectral flow transformations) properly taken into
account, a resolution of irreducible representations can be constructed
consisting of only the $N_{h,k;\theta}$ modules.
|
[
{
"created": "Tue, 18 Nov 2003 15:15:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Semikhatov",
"AM",
""
],
[
"Taormina",
"A",
""
]
] |
We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra $\hat{sl}(2|1)$. We analyze the coexistence of singular vectors of different types and identify the twisted modules $N_{h,k;\theta}$ arising as submodules and quotient modules of $\hat{sl}(2|1)$ Verma modules. We show that with the twists (spectral flow transformations) properly taken into account, a resolution of irreducible representations can be constructed consisting of only the $N_{h,k;\theta}$ modules.
|
1812.11049
|
Bianca Letizia Cerchiai
|
Bianca Letizia Cerchiai, Pietro Fr\'e and Mario Trigiante
|
The role of PSL(2,7) in M-theory: M2-branes, Englert equation and the
septuples
|
58 pages, typos corrected and comments added. arXiv admin note: text
overlap with arXiv:1601.02253
| null |
10.1002/prop.201900020
|
ARC-18-19
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Reconsidering the M2-brane solutions of d=11 supergravity with a transverse
Englert flux introduced by one of us in 2016, we present a new purely group
theoretical algorithm to solve Englert equation based on a specific embedding
of the PSL(2,7) group into $\mathrm{Weyl[\mathfrak{e}_7]}$. The aforementioned
embedding is singled out by the identification of $\mathrm{PSL(2,7)}$ with the
automorphism group of the Fano plane. Relying on the revealed intrinsic
PSL(2,7) symmetry of Englert equation and on the new algorithm we present an
exhaustive classification of Englert fluxes. The residual supersymmetries of
the corresponding M2-brane solutions associated with the first of the 8 classes
into which we have partitioned Englert fluxes are exhaustively analyzed and we
show that all residual d=3 supersymmetries with $\mathcal{N} \in
\left\{1,2,3,4,5,6\right\}$ are available. Our constructions correspond to a
particular case in the category of M2-brane solutions with transverse self-dual
fluxes.
|
[
{
"created": "Fri, 21 Dec 2018 19:40:36 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2019 13:49:31 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Cerchiai",
"Bianca Letizia",
""
],
[
"Fré",
"Pietro",
""
],
[
"Trigiante",
"Mario",
""
]
] |
Reconsidering the M2-brane solutions of d=11 supergravity with a transverse Englert flux introduced by one of us in 2016, we present a new purely group theoretical algorithm to solve Englert equation based on a specific embedding of the PSL(2,7) group into $\mathrm{Weyl[\mathfrak{e}_7]}$. The aforementioned embedding is singled out by the identification of $\mathrm{PSL(2,7)}$ with the automorphism group of the Fano plane. Relying on the revealed intrinsic PSL(2,7) symmetry of Englert equation and on the new algorithm we present an exhaustive classification of Englert fluxes. The residual supersymmetries of the corresponding M2-brane solutions associated with the first of the 8 classes into which we have partitioned Englert fluxes are exhaustively analyzed and we show that all residual d=3 supersymmetries with $\mathcal{N} \in \left\{1,2,3,4,5,6\right\}$ are available. Our constructions correspond to a particular case in the category of M2-brane solutions with transverse self-dual fluxes.
|
2403.16423
|
Shingo Takeuchi
|
Shingo Takeuchi
|
Canonical Quantization of the U(1) Gauge Field in the Rindler
Coordinates
|
50 pages
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
This paper describes the canonical quantization of the U(1) gauge field
across all four regions in the Rindler coordinates in the Lorentz covariant
gauge. In the four regions (future, past, left and right Rindler-wedges) in the
Rindler coordinates, defining the gauge-fixed Lagrangian in the Lorentz
covariant gauge, which is composed of the U(1) gauge field, the $B$-field and
ghost fields. Since the U(1) gauge and $B$-fields are decoupled from the ghost
fields by the property of the U(1) gauge theory, the U(1) gauge field and the
$B$-field are examined in this study.
Then, by solving the equations of motion obtained from the gauge-fixed
Lagrangian, the solutions of each mode of the U(1) gauge field and the
$B$-field can be obtained. Following this, with the Klein-Gordon inner-product
defined in the Rindler coordinates, the normalization constants of each of
those mode-solutions are determined.
Subsequently, formulating the canonical commutation relations of the U(1)
gauge field and its canonical conjugate momentum, the commutation relations of
the coefficient of each mode-solution in each direction of the U(1) gauge field
in each region of the Rindler coordinates are obtained. From these, it can be
seen that those coefficients have physical meaning as creation/annihilation
operators. The polarization vectors in each region of the Rindler coordinates
are also given in this study.
From these, it is shown that the Minkowski ground state can be given as the
outer-product of the quantum states multiplied by the creation operators of the
U(1) gauge field in the left and right Rindler-wedge states.
Then, obtaining the density matrix of the U(1) gauge theory in the right
Rindler-wedge from that, it is shown that the U(1) gauge field in the constant
accelerated system feels the Unruh temperature as well.
|
[
{
"created": "Mon, 25 Mar 2024 05:02:36 GMT",
"version": "v1"
}
] |
2024-03-26
|
[
[
"Takeuchi",
"Shingo",
""
]
] |
This paper describes the canonical quantization of the U(1) gauge field across all four regions in the Rindler coordinates in the Lorentz covariant gauge. In the four regions (future, past, left and right Rindler-wedges) in the Rindler coordinates, defining the gauge-fixed Lagrangian in the Lorentz covariant gauge, which is composed of the U(1) gauge field, the $B$-field and ghost fields. Since the U(1) gauge and $B$-fields are decoupled from the ghost fields by the property of the U(1) gauge theory, the U(1) gauge field and the $B$-field are examined in this study. Then, by solving the equations of motion obtained from the gauge-fixed Lagrangian, the solutions of each mode of the U(1) gauge field and the $B$-field can be obtained. Following this, with the Klein-Gordon inner-product defined in the Rindler coordinates, the normalization constants of each of those mode-solutions are determined. Subsequently, formulating the canonical commutation relations of the U(1) gauge field and its canonical conjugate momentum, the commutation relations of the coefficient of each mode-solution in each direction of the U(1) gauge field in each region of the Rindler coordinates are obtained. From these, it can be seen that those coefficients have physical meaning as creation/annihilation operators. The polarization vectors in each region of the Rindler coordinates are also given in this study. From these, it is shown that the Minkowski ground state can be given as the outer-product of the quantum states multiplied by the creation operators of the U(1) gauge field in the left and right Rindler-wedge states. Then, obtaining the density matrix of the U(1) gauge theory in the right Rindler-wedge from that, it is shown that the U(1) gauge field in the constant accelerated system feels the Unruh temperature as well.
|
2209.06772
|
Oliver Schlotterer
|
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt, Martijn
Hidding, Axel Kleinschmidt, Nils Matthes, Oliver Schlotterer, Bram Verbeek
|
Modular graph forms from equivariant iterated Eisenstein integrals
|
45 pages; submission includes ancillary data files; v2: typos
corrected / minor improvements, matches published version
| null |
10.1007/JHEP12(2022)162
|
UUITP-37/22
|
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The low-energy expansion of closed-string scattering amplitudes at genus one
introduces infinite families of non-holomorphic modular forms called modular
graph forms. Their differential and number-theoretic properties motivated
Brown's alternative construction of non-holomorphic modular forms in the recent
mathematics literature from so-called equivariant iterated Eisenstein
integrals. In this work, we provide the first validations beyond depth one of
Brown's conjecture that equivariant iterated Eisenstein integrals contain
modular graph forms. Apart from a variety of examples at depth two and three,
we spell out the systematics of the dictionary and make certain elements of
Brown's construction fully explicit to all orders.
|
[
{
"created": "Wed, 14 Sep 2022 16:49:44 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2022 18:14:46 GMT",
"version": "v2"
}
] |
2023-01-18
|
[
[
"Dorigoni",
"Daniele",
""
],
[
"Doroudiani",
"Mehregan",
""
],
[
"Drewitt",
"Joshua",
""
],
[
"Hidding",
"Martijn",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Matthes",
"Nils",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Verbeek",
"Bram",
""
]
] |
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown's alternative construction of non-holomorphic modular forms in the recent mathematics literature from so-called equivariant iterated Eisenstein integrals. In this work, we provide the first validations beyond depth one of Brown's conjecture that equivariant iterated Eisenstein integrals contain modular graph forms. Apart from a variety of examples at depth two and three, we spell out the systematics of the dictionary and make certain elements of Brown's construction fully explicit to all orders.
|
2110.04757
|
Ming Zhang
|
Ming Zhang and Jie Jiang
|
Conformal scalar NUT-like dyons in conformal electrodynamics
|
10 pages
| null |
10.1103/PhysRevD.104.084094
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We construct conformally scalar NUTty dyon black holes in non-linear
electrodynamics (NLE) which possess conformal and duality-rotation symmetries
and are characterized by a free dimensionless parameter. The thermodynamic
first law of the black hole is formulated. Then we explore the strong
gravitational effects of the black hole, mainly focusing on the innermost
stable circular orbits (ISCOs) of massive particles and shadows formed by the
photons. One of our interesting results is that if the black hole is endowed
with a positive real conformal scalar charge rendering it
Reissner-Nordstr\"om-like, the radii of the ISCOs and the shadow both increase
with the increasing NLE parameter signifying the increasing nonlinearity of the
electromagnetic field.
|
[
{
"created": "Sun, 10 Oct 2021 10:49:18 GMT",
"version": "v1"
}
] |
2021-11-10
|
[
[
"Zhang",
"Ming",
""
],
[
"Jiang",
"Jie",
""
]
] |
We construct conformally scalar NUTty dyon black holes in non-linear electrodynamics (NLE) which possess conformal and duality-rotation symmetries and are characterized by a free dimensionless parameter. The thermodynamic first law of the black hole is formulated. Then we explore the strong gravitational effects of the black hole, mainly focusing on the innermost stable circular orbits (ISCOs) of massive particles and shadows formed by the photons. One of our interesting results is that if the black hole is endowed with a positive real conformal scalar charge rendering it Reissner-Nordstr\"om-like, the radii of the ISCOs and the shadow both increase with the increasing NLE parameter signifying the increasing nonlinearity of the electromagnetic field.
|
hep-th/0212342
|
Dr Pascal Baseilhac
|
P. Baseilhac and M. Stanishkov
|
On the third level descendent fields in the Bullough-Dodd model and its
reductions
|
7 pages, LaTeX file with amssymb; to appear in Phys. Lett. B
|
Phys.Lett. B554 (2003) 217-222
|
10.1016/S0370-2693(03)00007-8
|
YITP-02-71
|
hep-th
| null |
Exact vacuum expectation values of the third level descendent fields
$<(\partial\phi)^3({\bar\partial}\phi)^3e^{a\phi}>$ in the Bullough-Dodd model
are proposed. By performing quantum group restrictions, we obtain $<L_{-3}{\bar
L}_{-3}{\Phi}_{lk}>$ in perturbed minimal conformal field theories.
|
[
{
"created": "Tue, 31 Dec 2002 08:21:28 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Baseilhac",
"P.",
""
],
[
"Stanishkov",
"M.",
""
]
] |
Exact vacuum expectation values of the third level descendent fields $<(\partial\phi)^3({\bar\partial}\phi)^3e^{a\phi}>$ in the Bullough-Dodd model are proposed. By performing quantum group restrictions, we obtain $<L_{-3}{\bar L}_{-3}{\Phi}_{lk}>$ in perturbed minimal conformal field theories.
|
2305.09375
|
Loriano Bonora
|
Loriano Bonora
|
Addendum: Weyl cocycles, (Class.Quantum Grav. 3 (1986) 635)
|
8 pages
| null |
10.1088/1361-6382/acde2e
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Weyl 0- and 1-cocycles of canonical dimension 6 in six dimensions, which were
computed earlier in ref.\cite{bonorabregolapasti1986}, are recalculated from
scratch. The analysis yields five Weyl invariants (0-cocycles), instead of
four, and the same four non-trivial 1-cocycles (possible trace anomalies), like
in that reference (up to the correction of one typo)
|
[
{
"created": "Tue, 16 May 2023 11:57:39 GMT",
"version": "v1"
}
] |
2023-07-05
|
[
[
"Bonora",
"Loriano",
""
]
] |
Weyl 0- and 1-cocycles of canonical dimension 6 in six dimensions, which were computed earlier in ref.\cite{bonorabregolapasti1986}, are recalculated from scratch. The analysis yields five Weyl invariants (0-cocycles), instead of four, and the same four non-trivial 1-cocycles (possible trace anomalies), like in that reference (up to the correction of one typo)
|
hep-th/9810176
|
Tomasz Brzezinski
|
Tomasz Brzezinski, Cezary Gonera and Pawel Maslanka
|
On the equivalence of the rational Calogero-Moser system to free
particles
|
16 pages, LaTeX
|
Phys.Lett. A254 (1999) 185-196
|
10.1016/S0375-9601(99)00149-8
| null |
hep-th cond-mat math-ph math.MP nlin.SI solv-int
| null |
The canonical transformation and its unitary counterpart which relate the
rational Calogero-Moser system to the free one are constructed.
|
[
{
"created": "Thu, 22 Oct 1998 12:38:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Brzezinski",
"Tomasz",
""
],
[
"Gonera",
"Cezary",
""
],
[
"Maslanka",
"Pawel",
""
]
] |
The canonical transformation and its unitary counterpart which relate the rational Calogero-Moser system to the free one are constructed.
|
hep-th/0407074
|
Alexander Kyriakos
|
Alexander G. Kyriakos
|
The non-linear field theory V: Yang-Mills equation as the equation of
the superposition of the non-linear electromagnetic waves
|
11 pages, submitted in Ann. de la Fond. L. de Broglie
| null | null | null |
hep-th
| null |
In the present paper it is shown that the Yang-Mills equation can be
represented as the equation of the non-linear electromagnetic waves
superposition. The research of the topological characteristics of this
representation allows us to discuss a number of the important questions of the
quantum chromodynamics.
|
[
{
"created": "Fri, 9 Jul 2004 19:16:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kyriakos",
"Alexander G.",
""
]
] |
In the present paper it is shown that the Yang-Mills equation can be represented as the equation of the non-linear electromagnetic waves superposition. The research of the topological characteristics of this representation allows us to discuss a number of the important questions of the quantum chromodynamics.
|
hep-th/9910203
|
Sandor Nagy
|
S. Nagy and K. Sailer
|
Search for periodic vacuum in QED$_2$
|
19 pages, 4 figures
|
Heavy Ion Phys.11:67-83,2000
| null | null |
hep-th
| null |
It is shown that the vacuum of QED$_2$ in Minkowski spacetime does not favour
a periodic electric mean field. The projected effective action exhibiting a
genuine dependence on the non-vanishing background field has been introduced.
The functional dependence of the energy density of the vacuum on the assumed
periodic vacuum expectation value of the vector potential is determined from
the component $T^{00}$ of the energy-momentum tensor at one-loop order.
Treating the background field non-perturbatively, the energy of the vacuum in
the presence of a periodic mean field is found not be equal to the negative of
the effective action.
|
[
{
"created": "Tue, 26 Oct 1999 13:44:26 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] |
It is shown that the vacuum of QED$_2$ in Minkowski spacetime does not favour a periodic electric mean field. The projected effective action exhibiting a genuine dependence on the non-vanishing background field has been introduced. The functional dependence of the energy density of the vacuum on the assumed periodic vacuum expectation value of the vector potential is determined from the component $T^{00}$ of the energy-momentum tensor at one-loop order. Treating the background field non-perturbatively, the energy of the vacuum in the presence of a periodic mean field is found not be equal to the negative of the effective action.
|
2303.07368
|
Anton Nedelin
|
Belal Nazzal, Anton Nedelin
|
$C_2$ generalization of the van Diejen model from the minimal
$(D_5,D_5)$ conformal matter
|
22 pages + Appendices, 11 Figures; v2: minor changes, published
version
|
Lett.Math.Phys. 113 (2023) 5, 94
|
10.1007/s11005-023-01714-7
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We study superconformal indices of $4d$ compactifications of the $6d$ minimal
$(D_{N+3},D_{N+3})$ conformal matter theories on a punctured Riemann surface.
Introduction of supersymmetric surface defect in these theories is done at the
level of the index by the action of the finite difference operators on the
corresponding indices. There exist at least three different types of such
operators according to three types of punctures with $A_N, C_N$ and
$\left(A_1\right)^N$ global symmetries. We mainly concentrate on $C_2$ case and
derive explicit expression for an infinite tower of difference operators
generalizing the van Diejen model. We check various properties of these
operators originating from the geometry of compactifications. We also provide
an expression for the kernel function of both our $C_2$ operator and previously
derived $A_2$ generalization of van Diejen model. Finally we also consider
compactifications with $A_N$-type punctures and derive the full tower of
commuting difference operators corresponding to this root system generalizing
the result of our previous paper.
|
[
{
"created": "Mon, 13 Mar 2023 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2023 08:15:28 GMT",
"version": "v2"
}
] |
2023-12-19
|
[
[
"Nazzal",
"Belal",
""
],
[
"Nedelin",
"Anton",
""
]
] |
We study superconformal indices of $4d$ compactifications of the $6d$ minimal $(D_{N+3},D_{N+3})$ conformal matter theories on a punctured Riemann surface. Introduction of supersymmetric surface defect in these theories is done at the level of the index by the action of the finite difference operators on the corresponding indices. There exist at least three different types of such operators according to three types of punctures with $A_N, C_N$ and $\left(A_1\right)^N$ global symmetries. We mainly concentrate on $C_2$ case and derive explicit expression for an infinite tower of difference operators generalizing the van Diejen model. We check various properties of these operators originating from the geometry of compactifications. We also provide an expression for the kernel function of both our $C_2$ operator and previously derived $A_2$ generalization of van Diejen model. Finally we also consider compactifications with $A_N$-type punctures and derive the full tower of commuting difference operators corresponding to this root system generalizing the result of our previous paper.
|
2110.02945
|
Daniel Elander
|
Daniel Elander, Maurizio Piai
|
Towards top-down holographic composite Higgs: minimal coset from maximal
supergravity
|
Version accepted for publication
| null |
10.1007/JHEP03(2022)049
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the context of top-down holography, we study a one-parameter family of
regular background solutions of maximal gauged supergravity in seven
dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional
confining field theory realises the global (spontaneous as well as explicit)
symmetry breaking pattern SO(5)->SO(4). We compute the complete mass spectrum
for the fluctuations of the 128 bosonic degrees of freedom of the
five-dimensional gravity theory, which correspond to scalar, pseudoscalar,
vector, axial-vector, and tensor bound states of the dual field theory, and
includes particles with exotic SO(4) quantum numbers. We confirm the existence
of tachyonic instabilities near the boundaries of the parameter space.
We discuss the interplay between explicit and spontaneous symmetry breaking.
The SO(5)/SO(4) coset might provide a first step towards the realisation of a
calculable framework and ultraviolet completion of minimal composite Higgs
models, if the four pseudo-Nambu-Goldstone bosons are identified with the real
components of the Higgs doublet in the standard model (SM), and a subgroup of
SO(4) with the SU(2)xU(1) SM gauge group. We exhibit an example with an
additional localised boundary term that mimics the effect of a weakly-coupled
external sector.
|
[
{
"created": "Wed, 6 Oct 2021 17:50:04 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 2021 14:20:39 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Feb 2022 19:37:02 GMT",
"version": "v3"
}
] |
2022-03-30
|
[
[
"Elander",
"Daniel",
""
],
[
"Piai",
"Maurizio",
""
]
] |
Within the context of top-down holography, we study a one-parameter family of regular background solutions of maximal gauged supergravity in seven dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional confining field theory realises the global (spontaneous as well as explicit) symmetry breaking pattern SO(5)->SO(4). We compute the complete mass spectrum for the fluctuations of the 128 bosonic degrees of freedom of the five-dimensional gravity theory, which correspond to scalar, pseudoscalar, vector, axial-vector, and tensor bound states of the dual field theory, and includes particles with exotic SO(4) quantum numbers. We confirm the existence of tachyonic instabilities near the boundaries of the parameter space. We discuss the interplay between explicit and spontaneous symmetry breaking. The SO(5)/SO(4) coset might provide a first step towards the realisation of a calculable framework and ultraviolet completion of minimal composite Higgs models, if the four pseudo-Nambu-Goldstone bosons are identified with the real components of the Higgs doublet in the standard model (SM), and a subgroup of SO(4) with the SU(2)xU(1) SM gauge group. We exhibit an example with an additional localised boundary term that mimics the effect of a weakly-coupled external sector.
|
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