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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0409086
|
Jose F. Morales
|
S. Bellucci, P.-Y. Casteill, J.F. Morales and C. Sochichiu
|
SL(2) spin chain and spinning strings on AdS_5xS^5
|
18 pages, 1 fig, References added. Earlier results in [38] are
pointed out
|
Nucl.Phys. B707 (2005) 303-320
|
10.1016/j.nuclphysb.2004.11.020
| null |
hep-th
| null |
We derive the coherent state representation of the integrable spin chain
Hamiltonian with symmetry group SL(2,R). By passing to the continuum limit, we
find a spin chain sigma model describing a string moving on the hyperboloid
SL(2,R)/U(1). The same sigma model is found by considering strings rotating
with large angular momentum in AdS_5xS^5. The spinning strings are identified
with semiclassical coherent states built out of SL(2,R) spin chain states.
|
[
{
"created": "Tue, 7 Sep 2004 17:23:25 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2004 13:29:26 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Bellucci",
"S.",
""
],
[
"Casteill",
"P. -Y.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Sochichiu",
"C.",
""
]
] |
We derive the coherent state representation of the integrable spin chain Hamiltonian with symmetry group SL(2,R). By passing to the continuum limit, we find a spin chain sigma model describing a string moving on the hyperboloid SL(2,R)/U(1). The same sigma model is found by considering strings rotating with large angular momentum in AdS_5xS^5. The spinning strings are identified with semiclassical coherent states built out of SL(2,R) spin chain states.
|
1607.04839
|
Vladimir Bazhanov
|
Vladimir V. Bazhanov, Sergei L. Lukyanov and Boris A. Runov
|
Vacuum energy of the Bukhvostov-Lipatov model
|
28 pages, 10 figures
| null |
10.1016/j.nuclphysb.2016.08.031
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bukhvostov and Lipatov have shown that weakly interacting instantons and
anti-instantons in the $O(3)$ non-linear sigma model in two dimensions are
described by an exactly soluble model containing two coupled Dirac fermions. We
propose an exact formula for the vacuum energy of the model for twisted
boundary conditions, expressing it through a special solution of the classical
sinh-Gordon equation. The formula perfectly matches predictions of the standard
renormalized perturbation theory at weak couplings as well as the conformal
perturbation theory at short distances. Our results also agree with the Bethe
ansatz solution of the model. A complete proof the proposed expression for the
vacuum energy based on a combination of the Bethe ansatz techniques and the
classical inverse scattering transform method is presented in the second part
of this work [40].
|
[
{
"created": "Sun, 17 Jul 2016 09:10:12 GMT",
"version": "v1"
}
] |
2016-10-12
|
[
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Lukyanov",
"Sergei L.",
""
],
[
"Runov",
"Boris A.",
""
]
] |
Bukhvostov and Lipatov have shown that weakly interacting instantons and anti-instantons in the $O(3)$ non-linear sigma model in two dimensions are described by an exactly soluble model containing two coupled Dirac fermions. We propose an exact formula for the vacuum energy of the model for twisted boundary conditions, expressing it through a special solution of the classical sinh-Gordon equation. The formula perfectly matches predictions of the standard renormalized perturbation theory at weak couplings as well as the conformal perturbation theory at short distances. Our results also agree with the Bethe ansatz solution of the model. A complete proof the proposed expression for the vacuum energy based on a combination of the Bethe ansatz techniques and the classical inverse scattering transform method is presented in the second part of this work [40].
|
1810.00465
|
Oleg Evseev
|
Y. A. Ageeva, O. A. Evseev, O. I. Melichev and V. A. Rubakov
|
Horndeski Genesis: strong coupling and absence thereof
|
10 pages, 1 figure
| null | null |
INR-TH-2018-025
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Genesis in the Horndeski theory as an alternative to or
completion of the inflationary scenario. One of the options free of
instabilities at all cosmological epochs is the one in which the early Genesis
is naively plagued with strong coupling. We address this issue to see whether
classical field theory description of the background evolution at this early
stage is consistent, nevertheless. We argue that, indeed, despite the fact that
the effective Plank mass tends to zero at early time asymptotics, the classical
analysis is legitimate in a certain range of Lagrangian parameters.
|
[
{
"created": "Sun, 30 Sep 2018 20:49:36 GMT",
"version": "v1"
}
] |
2018-10-02
|
[
[
"Ageeva",
"Y. A.",
""
],
[
"Evseev",
"O. A.",
""
],
[
"Melichev",
"O. I.",
""
],
[
"Rubakov",
"V. A.",
""
]
] |
We consider Genesis in the Horndeski theory as an alternative to or completion of the inflationary scenario. One of the options free of instabilities at all cosmological epochs is the one in which the early Genesis is naively plagued with strong coupling. We address this issue to see whether classical field theory description of the background evolution at this early stage is consistent, nevertheless. We argue that, indeed, despite the fact that the effective Plank mass tends to zero at early time asymptotics, the classical analysis is legitimate in a certain range of Lagrangian parameters.
|
hep-th/9811050
| null |
L. Griguolo
|
The instanton contributions to Yang-Mills theory on the torus:
localization, Wilson loops and the perturbative expansion
|
28 pages, revtex, no figures
|
Nucl.Phys. B547 (1999) 375-396
|
10.1016/S0550-3213(99)00089-9
| null |
hep-th
| null |
The instanton contributions to the partition function and to homologically
trivial Wilson loops for a U(N) Yang-Mills theory on a torus $T^2$ are
analyzed. An exact expression for the partition function is obtained as a sum
of contributions localized around the classical solutions of Yang-Mills
equations, that appear according to the general classification of Atiyah and
Bott. Explicit expressions for the exact Wilson loop averages are obtained when
N=2, N=3. For general $N$ the contribution of the zero-instanton sector has
been carefully derived in the decompactification limit, reproducing the sum of
the perturbative series on the plane, in which the light-cone gauge Yang-Mills
propagator is prescribed according to Wu-Mandelstam-Leibbrandt (WML). Agreement
with the results coming from $S^2$ is therefore obtained, confirming the truly
perturbative nature of the WML computations.
|
[
{
"created": "Thu, 5 Nov 1998 12:26:09 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Griguolo",
"L.",
""
]
] |
The instanton contributions to the partition function and to homologically trivial Wilson loops for a U(N) Yang-Mills theory on a torus $T^2$ are analyzed. An exact expression for the partition function is obtained as a sum of contributions localized around the classical solutions of Yang-Mills equations, that appear according to the general classification of Atiyah and Bott. Explicit expressions for the exact Wilson loop averages are obtained when N=2, N=3. For general $N$ the contribution of the zero-instanton sector has been carefully derived in the decompactification limit, reproducing the sum of the perturbative series on the plane, in which the light-cone gauge Yang-Mills propagator is prescribed according to Wu-Mandelstam-Leibbrandt (WML). Agreement with the results coming from $S^2$ is therefore obtained, confirming the truly perturbative nature of the WML computations.
|
hep-th/0703270
|
Seiji Sakoda
|
Seiji Sakoda
|
Gauge Freedom in the Path Integral Formalism
| null |
Prog.Theor.Phys.117:745-763,2007
|
10.1143/PTP.117.745
| null |
hep-th
| null |
We investigate 't Hooft's technique of changing the gauge parameter of the
linear covariant gauge from the point of view of the path integral with respect
to the gauge freedom. Extension of the degrees of freedom allows us to
formulate a system with extended gauge symmetry. The gauge fixing for this
extended symmetry yields the 't Hooft averaging as a path integral over the
additional degrees of freedom. Another gauge fixing is found as a non-abelian
analogue of the type II gaugeon formalism of Yokoyama and Kubo. In this
connection, the 't Hooft average can be viewed as the analogue of the type I
gaugeon formalism. As a result, we obtain gauge covariant formulations of
non-abelian gauge theories, which allow us to understand 't Hoot's technique
also from the canonical fromalism.
|
[
{
"created": "Thu, 29 Mar 2007 04:03:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Sakoda",
"Seiji",
""
]
] |
We investigate 't Hooft's technique of changing the gauge parameter of the linear covariant gauge from the point of view of the path integral with respect to the gauge freedom. Extension of the degrees of freedom allows us to formulate a system with extended gauge symmetry. The gauge fixing for this extended symmetry yields the 't Hooft averaging as a path integral over the additional degrees of freedom. Another gauge fixing is found as a non-abelian analogue of the type II gaugeon formalism of Yokoyama and Kubo. In this connection, the 't Hooft average can be viewed as the analogue of the type I gaugeon formalism. As a result, we obtain gauge covariant formulations of non-abelian gauge theories, which allow us to understand 't Hoot's technique also from the canonical fromalism.
|
0801.0257
|
Changhyun Ahn
|
Changhyun Ahn
|
More on Meta-Stable Brane Configuration by Quartic Superpotential for
Fundamentals
|
16 pp, 4 figures; second paragraph of section 1, figures 2, 3, 4, the
last paragraph of page 5, the equation (2.1) and the footnote 2 are improved
and to appear in PLB
|
Phys.Lett.B663:125-131,2008
|
10.1016/j.physletb.2008.03.063
| null |
hep-th
| null |
For the case where the gauge theory superpotential has a quartic term as well
as the mass term for quarks, the nonsupersymmetric meta-stable brane
configuration was found recently. By adding the orientifold 6-planes and the
extra fundamental flavors to this brane configuration, we describe the
meta-stable nonsupersymmetric vacua of the gauge theory with antisymmetric
flavor as well as fundamental flavors in type IIA string theory.
|
[
{
"created": "Tue, 1 Jan 2008 00:20:11 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2008 01:01:43 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ahn",
"Changhyun",
""
]
] |
For the case where the gauge theory superpotential has a quartic term as well as the mass term for quarks, the nonsupersymmetric meta-stable brane configuration was found recently. By adding the orientifold 6-planes and the extra fundamental flavors to this brane configuration, we describe the meta-stable nonsupersymmetric vacua of the gauge theory with antisymmetric flavor as well as fundamental flavors in type IIA string theory.
|
1003.1728
|
Hong Liu
|
Thomas Faulkner, Nabil Iqbal, Hong Liu, John McGreevy, David Vegh
|
From black holes to strange metals
|
26 pages, 9 figures
| null | null |
MIT-CTP/4105
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Since the mid-eighties there has been an accumulation of metallic materials
whose thermodynamic and transport properties differ significantly from those
predicted by Fermi liquid theory. Examples of these so-called non-Fermi liquids
include the strange metal phase of high transition temperature cuprates, and
heavy fermion systems near a quantum phase transition. We report on a class of
non-Fermi liquids discovered using gauge/gravity duality. The low energy
behavior of these non-Fermi liquids is shown to be governed by a nontrivial
infrared (IR) fixed point which exhibits nonanalytic scaling behavior only in
the temporal direction. Within this class we find examples whose
single-particle spectral function and transport behavior resemble those of
strange metals. In particular, the contribution from the Fermi surface to the
conductivity is inversely proportional to the temperature. In our treatment
these properties can be understood as being controlled by the scaling dimension
of the fermion operator in the emergent IR fixed point.
|
[
{
"created": "Mon, 8 Mar 2010 21:12:02 GMT",
"version": "v1"
}
] |
2010-03-10
|
[
[
"Faulkner",
"Thomas",
""
],
[
"Iqbal",
"Nabil",
""
],
[
"Liu",
"Hong",
""
],
[
"McGreevy",
"John",
""
],
[
"Vegh",
"David",
""
]
] |
Since the mid-eighties there has been an accumulation of metallic materials whose thermodynamic and transport properties differ significantly from those predicted by Fermi liquid theory. Examples of these so-called non-Fermi liquids include the strange metal phase of high transition temperature cuprates, and heavy fermion systems near a quantum phase transition. We report on a class of non-Fermi liquids discovered using gauge/gravity duality. The low energy behavior of these non-Fermi liquids is shown to be governed by a nontrivial infrared (IR) fixed point which exhibits nonanalytic scaling behavior only in the temporal direction. Within this class we find examples whose single-particle spectral function and transport behavior resemble those of strange metals. In particular, the contribution from the Fermi surface to the conductivity is inversely proportional to the temperature. In our treatment these properties can be understood as being controlled by the scaling dimension of the fermion operator in the emergent IR fixed point.
|
1603.05551
|
Tobias Hansen
|
Miguel S. Costa, Tobias Hansen, Jo\~ao Penedones, Emilio Trevisani
|
Projectors and seed conformal blocks for traceless mixed-symmetry
tensors
|
49 pages, 1 Mathematica notebook, many figures, v2: add references
| null |
10.1007/JHEP07(2016)018
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we derive the projectors to all irreducible SO(d)
representations (traceless mixed-symmetry tensors) that appear in the partial
wave decomposition of a conformal correlator of four stress-tensors in d
dimensions. These projectors are given in a closed form for arbitrary length
$l_1$ of the first row of the Young diagram. The appearance of Gegenbauer
polynomials leads directly to recursion relations in $l_1$ for seed conformal
blocks. Further results include a differential operator that generates the
projectors to traceless mixed-symmetry tensors and the general normalization
constant of the shadow operator.
|
[
{
"created": "Thu, 17 Mar 2016 16:06:41 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2016 13:46:38 GMT",
"version": "v2"
}
] |
2016-08-03
|
[
[
"Costa",
"Miguel S.",
""
],
[
"Hansen",
"Tobias",
""
],
[
"Penedones",
"João",
""
],
[
"Trevisani",
"Emilio",
""
]
] |
In this paper we derive the projectors to all irreducible SO(d) representations (traceless mixed-symmetry tensors) that appear in the partial wave decomposition of a conformal correlator of four stress-tensors in d dimensions. These projectors are given in a closed form for arbitrary length $l_1$ of the first row of the Young diagram. The appearance of Gegenbauer polynomials leads directly to recursion relations in $l_1$ for seed conformal blocks. Further results include a differential operator that generates the projectors to traceless mixed-symmetry tensors and the general normalization constant of the shadow operator.
|
2006.16466
|
Marcos Lima Dias
|
Rodolfo Casana, Andr\'e C. Santos, M. L. Dias
|
BPS solitons with internal structure in the gauged $O(3)$ sigma model
|
11 pages, Latex 2e, 15 figures
|
Phys. Rev. D 102, 085002 (2020)
|
10.1103/PhysRevD.102.085002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the existence of self-dual solitons with internal structure in
a gauged $O(3)$ nonlinear sigma model immersed in a dielectric medium generated
by a real scalar field (dubbed the source field). We consider rotationally
symmetric configurations and applying the {Bogomol'nyi-Prasad-Sommerfield}
formalism to obtain the energy lower bound and the respective {first-order
differential equations (or self-dual equations).} By solving such a system of
equations for three different dielectric media, we find the internal structure
generates relevant changes in the soliton profiles when compared with the ones
obtained without the presence of the dielectric medium.
|
[
{
"created": "Tue, 30 Jun 2020 01:42:52 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2020 01:39:56 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jul 2020 21:24:58 GMT",
"version": "v3"
}
] |
2020-10-14
|
[
[
"Casana",
"Rodolfo",
""
],
[
"Santos",
"André C.",
""
],
[
"Dias",
"M. L.",
""
]
] |
We investigate the existence of self-dual solitons with internal structure in a gauged $O(3)$ nonlinear sigma model immersed in a dielectric medium generated by a real scalar field (dubbed the source field). We consider rotationally symmetric configurations and applying the {Bogomol'nyi-Prasad-Sommerfield} formalism to obtain the energy lower bound and the respective {first-order differential equations (or self-dual equations).} By solving such a system of equations for three different dielectric media, we find the internal structure generates relevant changes in the soliton profiles when compared with the ones obtained without the presence of the dielectric medium.
|
1112.1492
|
Rosy Chooi Gim Teh
|
Rosy Teh, Ban-Loong Ng and Khai-Ming Wong
|
Particles of One-Half Topological Charge
|
27 pages, 9 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We would like to show the existence of finite energy SU(2) Yang-Mills-Higgs
particles of one-half topological charge. The magnetic fields of these
solutions at spatial infinity correspond to the magnetic field of a positive
one-half magnetic monopole located at the origin and a semi-infinite Dirac
string which carries a magnetic flux of $\frac{2\pi}{g}$ going into the center
of the sphere at infinity. Hence the net magnetic charge of the configuration
is zero. The solutions possess gauge potentials that are singular along
one-half of the z-axis, elsewhere they are regular. There are two distinct
configurations of these particles with different total energies and magnetic
dipole moments. Their total energies are found to increase with the strength of
the Higgs field self-coupling constant $\lambda$.
|
[
{
"created": "Wed, 7 Dec 2011 07:54:34 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2011 03:02:53 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Feb 2012 06:17:55 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Aug 2012 08:49:09 GMT",
"version": "v4"
}
] |
2012-08-08
|
[
[
"Teh",
"Rosy",
""
],
[
"Ng",
"Ban-Loong",
""
],
[
"Wong",
"Khai-Ming",
""
]
] |
We would like to show the existence of finite energy SU(2) Yang-Mills-Higgs particles of one-half topological charge. The magnetic fields of these solutions at spatial infinity correspond to the magnetic field of a positive one-half magnetic monopole located at the origin and a semi-infinite Dirac string which carries a magnetic flux of $\frac{2\pi}{g}$ going into the center of the sphere at infinity. Hence the net magnetic charge of the configuration is zero. The solutions possess gauge potentials that are singular along one-half of the z-axis, elsewhere they are regular. There are two distinct configurations of these particles with different total energies and magnetic dipole moments. Their total energies are found to increase with the strength of the Higgs field self-coupling constant $\lambda$.
|
hep-th/0409264
|
Tristan McLoughlin
|
Hok Kong Lee, Tristan McLoughlin, Xinkai Wu
|
Gauge/Gravity Duality for Interactions of Spherical Membranes in
11-dimensional pp-wave
|
34 pages
|
Nucl.Phys. B728 (2005) 1-30
|
10.1016/j.nuclphysb.2005.09.001
|
CALT-68-2523, UK-04-21
|
hep-th
| null |
We investigate the gauge/gravity duality in the interaction between two
spherical membranes in the 11-dimensional pp-wave background. On the
supergravity side, we find the solution to the field equations at locations
close to a spherical source membrane, and use it to obtain the light cone
Lagrangian of a spherical probe membrane very close to the source, i.e., with
their separation much smaller than their radii. On the gauge theory side, using
the BMN matrix model, we compute the one-loop effective potential between two
membrane fuzzy spheres. Perfect agreement is found between the two sides.
Moreover, the one-loop effective potential we obtain on the gauge theory side
is valid beyond the small-separation approximation, giving the full
interpolation between interactions of membrane-like objects and that of
graviton-like objects.
|
[
{
"created": "Fri, 24 Sep 2004 22:07:32 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Lee",
"Hok Kong",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Wu",
"Xinkai",
""
]
] |
We investigate the gauge/gravity duality in the interaction between two spherical membranes in the 11-dimensional pp-wave background. On the supergravity side, we find the solution to the field equations at locations close to a spherical source membrane, and use it to obtain the light cone Lagrangian of a spherical probe membrane very close to the source, i.e., with their separation much smaller than their radii. On the gauge theory side, using the BMN matrix model, we compute the one-loop effective potential between two membrane fuzzy spheres. Perfect agreement is found between the two sides. Moreover, the one-loop effective potential we obtain on the gauge theory side is valid beyond the small-separation approximation, giving the full interpolation between interactions of membrane-like objects and that of graviton-like objects.
|
1810.13051
|
Masoud Ghezelbash
|
Michael Butler, A. Masoud Ghezelbash
|
Minimal Surfaces and Generalized Einstein-Maxwell-dilaton Theory
|
23 pages, 12 figures. References added. Typos corrected. This article
inspired with the method developed in arXiv:1701.01489 and so may have minor
text overlap
|
International Journal of Modern Physics A, 34 (2019) 1950061
|
10.1142/S0217751X19500611
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present novel classes of non-stationary solutions to the five-dimensional
generalized Einstein-Maxwell-dilaton theory with cosmological constant, in
which the Maxwell's filed and the cosmological constant couple to the dilaton
field. In the first class of solutions, the two non-zero coupling constants are
different while in the second class of solutions, the two coupling constants
are equal to each other. We find consistent cosmological solutions with
positive, negative or zero cosmological constant, where the cosmological
constant depends on the value of one coupling constant in the theory. Moreover,
we discuss the physical properties of the five-dimensional solutions and the
uniqueness of the solutions in five dimensions by showing the solutions with
different coupling constants, can't be uplifted to any Einstein-Maxwell theory
in higher dimensions.
|
[
{
"created": "Wed, 31 Oct 2018 00:50:01 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Dec 2018 17:48:07 GMT",
"version": "v2"
}
] |
2019-05-29
|
[
[
"Butler",
"Michael",
""
],
[
"Ghezelbash",
"A. Masoud",
""
]
] |
We present novel classes of non-stationary solutions to the five-dimensional generalized Einstein-Maxwell-dilaton theory with cosmological constant, in which the Maxwell's filed and the cosmological constant couple to the dilaton field. In the first class of solutions, the two non-zero coupling constants are different while in the second class of solutions, the two coupling constants are equal to each other. We find consistent cosmological solutions with positive, negative or zero cosmological constant, where the cosmological constant depends on the value of one coupling constant in the theory. Moreover, we discuss the physical properties of the five-dimensional solutions and the uniqueness of the solutions in five dimensions by showing the solutions with different coupling constants, can't be uplifted to any Einstein-Maxwell theory in higher dimensions.
|
hep-th/9811027
|
Ascar K. Aringazin
|
A. K. Aringazin (1), K. M. Aringazin (1), S. Baskoutas (2), G.
Brodimas (2), A. Jannussis (2), E. Vlachos (2) (1: Karaganda State
University; 2: University of Patras)
|
q-Deformed Harmonic Oscillator in Phase Space
|
20 pages, LaTeX2e
|
Proc. of the Intern. Conf. 'Advances in Fundamental Physics',
Olympia, Greece, 27-30 Sept. 1993, Eds. M. Barone and F. Selleri, Hadronic
Press, 1995, pp.329-348
| null | null |
hep-th
| null |
Relation between Bopp-Kubo formulation and Weyl-Wigner-Moyal symbol calculus,
and non-commutative geometry interpretation of the phase space representation
of quantum mechanics are studied. Harmonic oscillator in phase space via
creation and annihilation operators, both the usual and $q$-deformed, is
investigated. We found that the Bopp-Kubo formulation is just non-commuting
coordinates representation of the symbol calculus. The Wigner operator for the
$q$-deformed harmonic oscillator is shown to be proportional to the 3-axis
spherical angular momentum operator of the algebra $su_{q}(2)$. The relation of
the Fock space for the harmonic oscillator and double Hilbert space of the
Gelfand-Naimark-Segal construction is established. The quantum extension of the
classical ergodiicity condition is proposed.
|
[
{
"created": "Mon, 2 Nov 1998 23:11:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aringazin",
"A. K.",
""
],
[
"Aringazin",
"K. M.",
""
],
[
"Baskoutas",
"S.",
""
],
[
"Brodimas",
"G.",
""
],
[
"Jannussis",
"A.",
""
],
[
"Vlachos",
"E.",
""
]
] |
Relation between Bopp-Kubo formulation and Weyl-Wigner-Moyal symbol calculus, and non-commutative geometry interpretation of the phase space representation of quantum mechanics are studied. Harmonic oscillator in phase space via creation and annihilation operators, both the usual and $q$-deformed, is investigated. We found that the Bopp-Kubo formulation is just non-commuting coordinates representation of the symbol calculus. The Wigner operator for the $q$-deformed harmonic oscillator is shown to be proportional to the 3-axis spherical angular momentum operator of the algebra $su_{q}(2)$. The relation of the Fock space for the harmonic oscillator and double Hilbert space of the Gelfand-Naimark-Segal construction is established. The quantum extension of the classical ergodiicity condition is proposed.
|
1008.4924
|
Kazuhiro Hikami
|
Tohru Eguchi, Kazuhiro Hikami
|
Note on Twisted Elliptic Genus of K3 Surface
|
14 pages
|
Phys.Lett.B694:446-455,2011
|
10.1016/j.physletb.2010.10.017
| null |
hep-th math-ph math.AG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the possibility of Mathieu group M24 acting as symmetry group on
the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the
present authors. One way of testing this proposal is to derive the twisted
elliptic genera for all conjugacy classes of M24 so that we can determine the
unique decomposition of expansion coefficients of K3 elliptic genus into
irreducible representations of M24. In this paper we obtain all the hitherto
unknown twisted elliptic genera and find a strong evidence of Mathieu
moonshine.
|
[
{
"created": "Sun, 29 Aug 2010 13:57:01 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 2010 09:01:52 GMT",
"version": "v2"
}
] |
2011-06-27
|
[
[
"Eguchi",
"Tohru",
""
],
[
"Hikami",
"Kazuhiro",
""
]
] |
We discuss the possibility of Mathieu group M24 acting as symmetry group on the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the present authors. One way of testing this proposal is to derive the twisted elliptic genera for all conjugacy classes of M24 so that we can determine the unique decomposition of expansion coefficients of K3 elliptic genus into irreducible representations of M24. In this paper we obtain all the hitherto unknown twisted elliptic genera and find a strong evidence of Mathieu moonshine.
|
1611.00295
|
Lilia Anguelova
|
Lilia Anguelova
|
On Slow-roll Glueball Inflation from Holography
|
9 pages, contribution to the proceedings of the 3rd Bulgarian
National Congress on Physical Sciences, Sofia, 2016
|
Bulg. J. Phys. 44 (2017) 48-56
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate glueball inflation model-building via the methods of the
gauge/gravity duality. For that purpose, we consider a certain 5d consistent
truncation of type IIB supergravity. This theory admits a solution, whose
metric is of the form of a $dS_4$ fibration over a fifth dimension. We find a
new time-dependent deformation around this solution, which allows for a small
$\eta$ parameter of the corresponding inflationary model. This resolves a
problem with a previous solution that allowed only $\eta$ of order one and thus
gave only an ultra-slow roll regime, but not regular slow roll.
|
[
{
"created": "Tue, 1 Nov 2016 16:56:43 GMT",
"version": "v1"
}
] |
2017-03-20
|
[
[
"Anguelova",
"Lilia",
""
]
] |
We investigate glueball inflation model-building via the methods of the gauge/gravity duality. For that purpose, we consider a certain 5d consistent truncation of type IIB supergravity. This theory admits a solution, whose metric is of the form of a $dS_4$ fibration over a fifth dimension. We find a new time-dependent deformation around this solution, which allows for a small $\eta$ parameter of the corresponding inflationary model. This resolves a problem with a previous solution that allowed only $\eta$ of order one and thus gave only an ultra-slow roll regime, but not regular slow roll.
|
1603.07362
|
Daniel Robbins
|
Katrin Becker, Melanie Becker, William D. Linch III, and Daniel
Robbins
|
Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace
|
40pp, v2 added references
|
JHEP 06 (2016) 097
|
10.1007/JHEP06(2016)097
|
MI-TH-1612
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The
resulting non-abelian tensor hierarchy can be interpreted via an equivariant
chain complex. We lift this structure to N=1 superspace by constructing
superfield analogs for the tensor fields, along with covariant superfield
strengths. Next we construct Chern-Simons actions, for both the bosonic and N=1
cases, and note that the condition of gauge invariance can be presented
cohomologically. Finally, we provide an explicit realization of these
structures by dimensional reduction, for example by reducing the three-form of
eleven-dimensional supergravity into a superspace with manifest 4D, N=1
supersymmetry.
|
[
{
"created": "Wed, 23 Mar 2016 21:05:05 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2016 21:52:21 GMT",
"version": "v2"
}
] |
2016-06-27
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Linch",
"William D.",
"III"
],
[
"Robbins",
"Daniel",
""
]
] |
We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The resulting non-abelian tensor hierarchy can be interpreted via an equivariant chain complex. We lift this structure to N=1 superspace by constructing superfield analogs for the tensor fields, along with covariant superfield strengths. Next we construct Chern-Simons actions, for both the bosonic and N=1 cases, and note that the condition of gauge invariance can be presented cohomologically. Finally, we provide an explicit realization of these structures by dimensional reduction, for example by reducing the three-form of eleven-dimensional supergravity into a superspace with manifest 4D, N=1 supersymmetry.
|
1201.2974
|
Eduardo da Hora
|
D. Bazeia, E. da Hora, C. dos Santos, R. Menezes
|
BPS Solutions to a Generalized Maxwell-Higgs Model
|
8 pages, 4 figures. Revised version published
|
Eur. Phys. J. C 71, 1833 (2011)
|
10.1140/epjc/s10052-011-1833-9
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We look for topological BPS solutions of an Abelian-Maxwell-Higgs theory
endowed by non-standard kinetic terms to both gauge and scalar fields. Here,
the non-usual dynamics are controlled by two positive functions, G(|{\phi}|)
and w(|{\phi}|), which are related to the self-dual scalar potential
V(|{\phi}|) of the model by a fundamental constraint. The numerical results we
found present interesting new features, and contribute to the development of
the recent issue concerning the study of generalized models and their
applications.
|
[
{
"created": "Sat, 14 Jan 2012 00:37:53 GMT",
"version": "v1"
}
] |
2012-01-17
|
[
[
"Bazeia",
"D.",
""
],
[
"da Hora",
"E.",
""
],
[
"Santos",
"C. dos",
""
],
[
"Menezes",
"R.",
""
]
] |
We look for topological BPS solutions of an Abelian-Maxwell-Higgs theory endowed by non-standard kinetic terms to both gauge and scalar fields. Here, the non-usual dynamics are controlled by two positive functions, G(|{\phi}|) and w(|{\phi}|), which are related to the self-dual scalar potential V(|{\phi}|) of the model by a fundamental constraint. The numerical results we found present interesting new features, and contribute to the development of the recent issue concerning the study of generalized models and their applications.
|
hep-th/0512182
|
Nelson R. F. Braga
|
C. A. Ballon Bayona and Nelson R. F. Braga
|
Anti-de Sitter boundary in Poincare coordinates
|
In this revised version we add a discussion of the physical
consequences of the choice of a coordinate system for AdS space. We changed
figure 1 and added more references. Version to be published in Gen. Relat.
Grav.
|
Gen.Rel.Grav.39:1367-1379,2007
|
10.1007/s10714-007-0446-y
| null |
hep-th
| null |
We study the space-time boundary of a Poincare patch of Anti-de Sitter (AdS)
space. We map the Poincare AdS boundary to the global coordinate chart and show
why this boundary is not equivalent to the global AdS boundary. The Poincare
AdS boundary is shown to contain points of the bulk of the entire AdS space.
The Euclidean AdS space is also discussed. In this case one can define a
semi-global chart that divides the AdS space in the same way as the
corresponding Euclidean Poincare chart.
|
[
{
"created": "Thu, 15 Dec 2005 13:57:34 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2006 14:08:19 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Apr 2007 17:24:07 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bayona",
"C. A. Ballon",
""
],
[
"Braga",
"Nelson R. F.",
""
]
] |
We study the space-time boundary of a Poincare patch of Anti-de Sitter (AdS) space. We map the Poincare AdS boundary to the global coordinate chart and show why this boundary is not equivalent to the global AdS boundary. The Poincare AdS boundary is shown to contain points of the bulk of the entire AdS space. The Euclidean AdS space is also discussed. In this case one can define a semi-global chart that divides the AdS space in the same way as the corresponding Euclidean Poincare chart.
|
1808.08110
|
Michel Dubois-Violette
|
Michel Dubois-Violette and Ivan Todorov
|
Exceptional quantum geometry and particle physics II
|
18 pages
| null |
10.1016/j.nuclphysb.2018.12.012
|
LPT-ORSAY 18-78
|
hep-th math-ph math.MP math.QA math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the study undertaken in [13] of the relevance of the exceptional
Jordan algebra $J^8_3$ of hermitian $3\times 3$ octonionic matrices for the
description of the internal space of the fundamental fermions of the Standard
Model with 3 generations. By using the suggestion of [30] (properly justified
here) that the Jordan algebra $J^8_2$ of hermitian $2\times 2$ octonionic
matrices is relevant for the description of the internal space of the
fundamental fermions of one generation, we show that, based on the same
principles and the same framework as in [13], there is a way to describe the
internal space of the 3 generations which avoids the introduction of new
fundamental fermions and where there is no problem with respect to the
electroweak symmetry.
|
[
{
"created": "Fri, 24 Aug 2018 12:46:02 GMT",
"version": "v1"
}
] |
2018-12-26
|
[
[
"Dubois-Violette",
"Michel",
""
],
[
"Todorov",
"Ivan",
""
]
] |
We continue the study undertaken in [13] of the relevance of the exceptional Jordan algebra $J^8_3$ of hermitian $3\times 3$ octonionic matrices for the description of the internal space of the fundamental fermions of the Standard Model with 3 generations. By using the suggestion of [30] (properly justified here) that the Jordan algebra $J^8_2$ of hermitian $2\times 2$ octonionic matrices is relevant for the description of the internal space of the fundamental fermions of one generation, we show that, based on the same principles and the same framework as in [13], there is a way to describe the internal space of the 3 generations which avoids the introduction of new fundamental fermions and where there is no problem with respect to the electroweak symmetry.
|
hep-th/0701247
|
Mario Trigiante
|
R. D'Auria, S. Ferrara and M. Trigiante
|
On the supergravity formulation of mirror symmetry in generalized
Calabi-Yau manifolds
|
14 pages, LaTeX source
|
Nucl.Phys.B780:28-39,2007
|
10.1016/j.nuclphysb.2007.04.009
| null |
hep-th
| null |
We derive the complete supergravity description of the N=2 scalar potential
which realizes a generic flux-compactification on a Calabi-Yau manifold
(generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$,
obtained by integrating out the massive axionic fields of the special
quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with
respect to {\rm Sp}(2 h_2+2)\times {\rm Sp}(2 h_1+2) and their exchange, being
h_1, h_2 the complex dimensions of the underlying special geometries. {\Scr
V}_{eff} has a manifestly N=1 form in terms of a mirror symmetric
superpotential $W$ proposed, some time ago, by Berglund and Mayr.
|
[
{
"created": "Fri, 26 Jan 2007 17:43:51 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Trigiante",
"M.",
""
]
] |
We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to {\rm Sp}(2 h_2+2)\times {\rm Sp}(2 h_1+2) and their exchange, being h_1, h_2 the complex dimensions of the underlying special geometries. {\Scr V}_{eff} has a manifestly N=1 form in terms of a mirror symmetric superpotential $W$ proposed, some time ago, by Berglund and Mayr.
|
1203.0172
|
Cezar Condeescu
|
Cezar Condeescu
|
Intersecting Brane Vacua and Non-perturbative Transitions
|
5 pages, LaTex. Contribution to the proceedings of the 2011
Europhysics Conference on High Energy Physics, EPS-HEP 2011. Reference added
in v2
|
PoS EPS-HEP2011 (2011) 130
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the process of transmutation of branes into Abelian magnetic flux
on the worldvolume of $D9$ branes. This phenomenon is T-dual to the
recombination of branes in the intersecting-brane description. In the low
energy limit this can be described by a Higgs mechanism involving bifundamental
scalars. The Abelian magnetic background arises as a consequence of the
compactness of the internal space. Explicit (six-dimensional) examples based on
the supersymmetric and the Brane Supersymmetry Breaking (BSB)
\mathbb{T}^4/\mathbb{Z}_2 orientifold are analyzed.
|
[
{
"created": "Thu, 1 Mar 2012 12:52:52 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jun 2015 15:50:38 GMT",
"version": "v2"
}
] |
2015-06-25
|
[
[
"Condeescu",
"Cezar",
""
]
] |
We discuss the process of transmutation of branes into Abelian magnetic flux on the worldvolume of $D9$ branes. This phenomenon is T-dual to the recombination of branes in the intersecting-brane description. In the low energy limit this can be described by a Higgs mechanism involving bifundamental scalars. The Abelian magnetic background arises as a consequence of the compactness of the internal space. Explicit (six-dimensional) examples based on the supersymmetric and the Brane Supersymmetry Breaking (BSB) \mathbb{T}^4/\mathbb{Z}_2 orientifold are analyzed.
|
hep-th/0601022
|
Levent Akant
|
Levent Akant
|
Nonabelian Localization for Statistical Mechanics of Matrix Models at
High Temperatures
|
15 pages
| null | null | null |
hep-th
| null |
We show that in the high temperature limit the partition function of a matrix
model is localized on certain shells in the phase space where on each shell the
classically conjugate matrix variables obey the canonical commutation
relations. The result is obtained by applying the nonabelian equivariant
localization principle to the partition function of a matrix model driven by a
specific random external source coupled to a conserved charge of the system.
|
[
{
"created": "Wed, 4 Jan 2006 11:12:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Akant",
"Levent",
""
]
] |
We show that in the high temperature limit the partition function of a matrix model is localized on certain shells in the phase space where on each shell the classically conjugate matrix variables obey the canonical commutation relations. The result is obtained by applying the nonabelian equivariant localization principle to the partition function of a matrix model driven by a specific random external source coupled to a conserved charge of the system.
|
1909.08001
|
Marco Maceda
|
Rom\'an Linares and Marco Maceda and Oscar S\'anchez-Santos
|
Thermodynamical properties of a noncommutative anti-de
Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
|
11 pages, 10 figures
|
Phys. Rev. D 101, 044008 (2020)
|
10.1103/PhysRevD.101.044008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a deformed adS-Einstein-Born-Infeld black hole from
noncommutative gauge theory of gravity and determine the metric coefficients up
to second order on the noncommutative parameter. We analyse the modifications
on the thermodynamical properties of the black hole due to the noncommutative
contributions, and we show that noncommutativity has as a direct consequence,
the removal of critical points.
|
[
{
"created": "Tue, 17 Sep 2019 18:01:30 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2019 18:50:44 GMT",
"version": "v2"
}
] |
2020-02-12
|
[
[
"Linares",
"Román",
""
],
[
"Maceda",
"Marco",
""
],
[
"Sánchez-Santos",
"Oscar",
""
]
] |
We construct a deformed adS-Einstein-Born-Infeld black hole from noncommutative gauge theory of gravity and determine the metric coefficients up to second order on the noncommutative parameter. We analyse the modifications on the thermodynamical properties of the black hole due to the noncommutative contributions, and we show that noncommutativity has as a direct consequence, the removal of critical points.
|
1311.3136
|
Michael Haack
|
Susanne Barisch-Dick, Gabriel Lopes Cardoso, Michael Haack and Alvaro
Veliz-Osorio
|
Quantum corrections to extremal black brane solutions
|
30 pages, 10 figures; v2: references added, as well as a discussion
about how to obtain the attractor equations by extremizing an effective
potential, coincides with published version
| null |
10.1007/JHEP02(2014)105
|
LMU-ASC 76/13, MPP-2013-284
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss quantum corrections to extremal black brane solutions in N=2 U(1)
gauged supergravity in four dimensions. We consider modifications due to a
certain class of higher-derivative terms as well as perturbative corrections to
the prepotential. We use the entropy function formalism to assess the impact of
these corrections on singular brane solutions and we give a few examples. We
then use first-order flow equations to construct solutions that interpolate
between quantum corrected fixed points of the associated potentials.
|
[
{
"created": "Wed, 13 Nov 2013 14:13:13 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2014 13:30:31 GMT",
"version": "v2"
}
] |
2014-03-13
|
[
[
"Barisch-Dick",
"Susanne",
""
],
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Haack",
"Michael",
""
],
[
"Veliz-Osorio",
"Alvaro",
""
]
] |
We discuss quantum corrections to extremal black brane solutions in N=2 U(1) gauged supergravity in four dimensions. We consider modifications due to a certain class of higher-derivative terms as well as perturbative corrections to the prepotential. We use the entropy function formalism to assess the impact of these corrections on singular brane solutions and we give a few examples. We then use first-order flow equations to construct solutions that interpolate between quantum corrected fixed points of the associated potentials.
|
1011.5889
|
Marc Henneaux
|
Claudio Bunster and Marc Henneaux
|
Can (Electric-Magnetic) Duality Be Gauged?
|
Some minor typos corrected
|
Phys.Rev.D83:045031,2011
|
10.1103/PhysRevD.83.045031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There exists a formulation of the Maxwell theory in terms of two vector
potentials, one electric and one magnetic. The action is then manifestly
invariant under electric-magnetic duality transformations, which are rotations
in the two-dimensional internal space of the two potentials, and local. We ask
the question: can duality be gauged? The only known and battled-tested method
of accomplishing the gauging is the Noether procedure. In its decanted form, it
amounts to turn on the coupling by deforming the abelian gauge group of the
free theory, out of whose curvatures the action is built, into a non-abelian
group which becomes the gauge group of the resulting theory. In this article,
we show that the method cannot be successfully implemented for
electric-magnetic duality. We thus conclude that, unless a radically new idea
is introduced, electric-magnetic duality cannot be gauged. The implication of
this result for supergravity is briefly discussed.
|
[
{
"created": "Thu, 25 Nov 2010 21:40:09 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Feb 2011 18:01:09 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Mar 2014 11:19:14 GMT",
"version": "v3"
}
] |
2014-03-14
|
[
[
"Bunster",
"Claudio",
""
],
[
"Henneaux",
"Marc",
""
]
] |
There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the two-dimensional internal space of the two potentials, and local. We ask the question: can duality be gauged? The only known and battled-tested method of accomplishing the gauging is the Noether procedure. In its decanted form, it amounts to turn on the coupling by deforming the abelian gauge group of the free theory, out of whose curvatures the action is built, into a non-abelian group which becomes the gauge group of the resulting theory. In this article, we show that the method cannot be successfully implemented for electric-magnetic duality. We thus conclude that, unless a radically new idea is introduced, electric-magnetic duality cannot be gauged. The implication of this result for supergravity is briefly discussed.
|
0908.2759
|
Felix Karbstein
|
Felix Karbstein
|
Integrating out the Dirac sea in the Walecka model
|
15 pages, 8 figures, several points clarified, Fig.7 replaced,
references added
|
Phys.Rev.C81:045206,2010
|
10.1103/PhysRevC.81.045206
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a purely fermionic no-sea effective theory, featuring
positive-energy states only for the Walecka model. In contrast to the so-called
mean-field theory approach with the no-sea approximation, where the Dirac sea
is simply omitted from the outset, we turn to the relativistic Hartree
approximation and explicitly construct a no-sea effective theory from the
underlying quantum field theory. Several results obtained within these two
approaches are confronted with each other. This sheds new light on the
reliability of the mean-field theory with the no-sea approximation as well as
the role of the Dirac sea. Restricting to 1+1 dimensions, we obtain new
analytical insights into nonuniform nuclear matter.
|
[
{
"created": "Wed, 19 Aug 2009 14:29:41 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Apr 2010 20:30:56 GMT",
"version": "v2"
}
] |
2010-04-29
|
[
[
"Karbstein",
"Felix",
""
]
] |
We derive a purely fermionic no-sea effective theory, featuring positive-energy states only for the Walecka model. In contrast to the so-called mean-field theory approach with the no-sea approximation, where the Dirac sea is simply omitted from the outset, we turn to the relativistic Hartree approximation and explicitly construct a no-sea effective theory from the underlying quantum field theory. Several results obtained within these two approaches are confronted with each other. This sheds new light on the reliability of the mean-field theory with the no-sea approximation as well as the role of the Dirac sea. Restricting to 1+1 dimensions, we obtain new analytical insights into nonuniform nuclear matter.
|
1111.4145
|
Igor Samsonov
|
I. L. Buchbinder, E. A. Ivanov, I. B. Samsonov, B. M. Zupnik
|
Superconformal N=3 SYM Low-Energy Effective Action
|
1+29 pages; v2: minor corrections, JHEP style
| null |
10.1007/JHEP01(2012)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a manifestly N=3 supersymmetric low-energy effective action of
N=3 super Yang-Mills theory. The effective action is written in the N=3
harmonic superspace and respects the full N=3 superconformal symmetry. On mass
shell this action is responsible for the four-derivative terms in the N=4 SYM
effective action, such as F^4/X^4 and its supersymmetric completions, while off
shell it involves also higher-derivative terms. For constant Maxwell and scalar
fields its bosonic part coincides, up to the F^6/X^8 order, with the bosonic
part of the D3 brane action in the AdS_5 x S^5 background. We also argue that
in the sector of scalar fields it involves the correctly normalized Wess-Zumino
term with the implicit SU(3) symmetry.
|
[
{
"created": "Thu, 17 Nov 2011 16:45:33 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2012 16:00:04 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Samsonov",
"I. B.",
""
],
[
"Zupnik",
"B. M.",
""
]
] |
We construct a manifestly N=3 supersymmetric low-energy effective action of N=3 super Yang-Mills theory. The effective action is written in the N=3 harmonic superspace and respects the full N=3 superconformal symmetry. On mass shell this action is responsible for the four-derivative terms in the N=4 SYM effective action, such as F^4/X^4 and its supersymmetric completions, while off shell it involves also higher-derivative terms. For constant Maxwell and scalar fields its bosonic part coincides, up to the F^6/X^8 order, with the bosonic part of the D3 brane action in the AdS_5 x S^5 background. We also argue that in the sector of scalar fields it involves the correctly normalized Wess-Zumino term with the implicit SU(3) symmetry.
|
1807.11499
|
Eanna E. Flanagan
|
Venkatesa Chandrasekaran, Eanna E. Flanagan, Kartik Prabhu
|
Symmetries and charges of general relativity at null boundaries
|
v3: minor error in Sec. 5.3 corrected; v2: added appendices on
trivial diffeomorphisms and relation to 1810.01847; v1: 59 pages +
appendices, 2 figures
| null |
10.1007/JHEP11(2018)125
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study general relativity at a null boundary using the covariant phase
space formalism. We define a covariant phase space and compute the algebra of
symmetries at the null boundary by considering the boundary-preserving
diffeomorphisms that preserve this phase space. This algebra is the semi-direct
sum of diffeomorphisms on the two sphere and a nonabelian algebra of
supertranslations that has some similarities to supertranslations at null
infinity. By using the general prescription developed by Wald and Zoupas, we
derive the localized charges of this algebra at cross sections of the null
surface as well as the associated fluxes. Our analysis is covariant and applies
to general non-stationary null surfaces. We also derive the global charges that
generate the symmetries for event horizons, and show that these obey the same
algebra as the linearized diffeomorphisms, without any central extension. Our
results show that supertranslations play an important role not just at null
infinity but at all null boundaries, including non-stationary event horizons.
They should facilitate further investigations of whether horizon symmetries and
conservation laws in black hole spacetimes play a role in the information loss
problem, as suggested by Hawking, Perry, and Strominger.
|
[
{
"created": "Mon, 30 Jul 2018 18:00:16 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2018 23:39:11 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jul 2023 19:16:54 GMT",
"version": "v3"
}
] |
2023-07-20
|
[
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Flanagan",
"Eanna E.",
""
],
[
"Prabhu",
"Kartik",
""
]
] |
We study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving diffeomorphisms that preserve this phase space. This algebra is the semi-direct sum of diffeomorphisms on the two sphere and a nonabelian algebra of supertranslations that has some similarities to supertranslations at null infinity. By using the general prescription developed by Wald and Zoupas, we derive the localized charges of this algebra at cross sections of the null surface as well as the associated fluxes. Our analysis is covariant and applies to general non-stationary null surfaces. We also derive the global charges that generate the symmetries for event horizons, and show that these obey the same algebra as the linearized diffeomorphisms, without any central extension. Our results show that supertranslations play an important role not just at null infinity but at all null boundaries, including non-stationary event horizons. They should facilitate further investigations of whether horizon symmetries and conservation laws in black hole spacetimes play a role in the information loss problem, as suggested by Hawking, Perry, and Strominger.
|
2103.06557
|
Gianluca Calcagni
|
Gianluca Calcagni
|
Multifractional theories: an updated review
|
21 pages, 1 figure, 7 tables. Invited review article for the special
issue "Fractional quantum theory" in Mod. Phys. Lett. A, ed. by S.C. Lim. v2:
minor typos corrected, including in table 7 of the published version
|
Mod. Phys. Lett. A 36, 2140006 (2021)
|
10.1142/S021773232140006X
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The status of multifractional theories is reviewed using comparative tables.
Theoretical foundations, classical matter and gravity dynamics, cosmology and
experimental constraints are summarized and the application of the
multifractional paradigm to quantum gravity is discussed. We also clarify the
issue of unitarity in theories with integer-order derivatives.
|
[
{
"created": "Thu, 11 Mar 2021 09:32:22 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2021 15:58:38 GMT",
"version": "v2"
}
] |
2021-08-16
|
[
[
"Calcagni",
"Gianluca",
""
]
] |
The status of multifractional theories is reviewed using comparative tables. Theoretical foundations, classical matter and gravity dynamics, cosmology and experimental constraints are summarized and the application of the multifractional paradigm to quantum gravity is discussed. We also clarify the issue of unitarity in theories with integer-order derivatives.
|
0901.4374
|
Sever Amit
|
Amit Sever
|
Non-commutative holography and scattering amplitudes in a large magnetic
background
|
26 pages. v2: corrected section 4, reference added
|
JHEP 0904:039,2009
|
10.1088/1126-6708/2009/04/039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study planar gluon scattering amplitudes and Wilson loops in
non-commutative gauge theory. Our main results are:
1. We find the map between observables in non-commutative gauge theory and
their holographic dual. In that map, the region near the boundary of the
gravitational dual describes the physics in terms of T-dual variables.
2. We show that in the presence of a large magnetic background and a UV
regulator, a planar gluon scattering amplitude reduces to a complex polygon
Wilson loop expectation value, dressed by a tractable polarization dependent
factor.
|
[
{
"created": "Wed, 28 Jan 2009 19:54:55 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 2009 02:46:46 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Sever",
"Amit",
""
]
] |
We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are: 1. We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region near the boundary of the gravitational dual describes the physics in terms of T-dual variables. 2. We show that in the presence of a large magnetic background and a UV regulator, a planar gluon scattering amplitude reduces to a complex polygon Wilson loop expectation value, dressed by a tractable polarization dependent factor.
|
hep-th/0608203
|
Fabrizio Canfora
|
F. Canfora
|
The UV behavior of Gravity at Large N
|
17 pages, 9 figures. To appear on Phys. Rev. D. Two more references,
further technical details and the discussion of the KLT relations at large N
have been included
|
Phys.Rev. D74 (2006) 064020
|
10.1103/PhysRevD.74.064020
| null |
hep-th gr-qc math-ph math.MP
| null |
A first step in the analysis of the renormalizability of gravity at Large N
is carried on. Suitable resummations of planar diagrams give rise to a theory
in which there is only a finite number of primitive superficially divergent
Feynman diagrams. The mechanism is similar to the the one which makes
renormalizable the 3D Gross-Neveu model at large N. Some potential problems in
fulfilling the Slavnov-Taylor and the Zinn-Justin equations are also pointed
out.
|
[
{
"created": "Tue, 29 Aug 2006 08:58:30 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2006 09:14:02 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Canfora",
"F.",
""
]
] |
A first step in the analysis of the renormalizability of gravity at Large N is carried on. Suitable resummations of planar diagrams give rise to a theory in which there is only a finite number of primitive superficially divergent Feynman diagrams. The mechanism is similar to the the one which makes renormalizable the 3D Gross-Neveu model at large N. Some potential problems in fulfilling the Slavnov-Taylor and the Zinn-Justin equations are also pointed out.
|
1211.5830
|
Oleg Lunin
|
Oleg Lunin, Samir D. Mathur
|
A toy black hole S-matrix in the D1-D5 CFT
|
41 pages
| null |
10.1007/JHEP02(2013)083
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To model the process of absorption and emission of quanta by an extremal
D1-D5 black hole in the dual CFT, we consider transitions between different
Ramond vacua via absorption and emission of chiral primaries. We compute the
probabilities to reach different CFT states starting with a special Ramond
vacuum, using techniques of the orbifold CFT. It is found that the processes
involving the change of angular momentum by $k$ units are suppressed as 1/N^k
|
[
{
"created": "Mon, 26 Nov 2012 01:21:15 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Lunin",
"Oleg",
""
],
[
"Mathur",
"Samir D.",
""
]
] |
To model the process of absorption and emission of quanta by an extremal D1-D5 black hole in the dual CFT, we consider transitions between different Ramond vacua via absorption and emission of chiral primaries. We compute the probabilities to reach different CFT states starting with a special Ramond vacuum, using techniques of the orbifold CFT. It is found that the processes involving the change of angular momentum by $k$ units are suppressed as 1/N^k
|
1709.07281
|
Shuichi Yokoyama
|
Sinya Aoki and Shuichi Yokoyama
|
AdS geometry from CFT on a general conformally flat manifold
|
16 pages, no figure
| null |
10.1016/j.nuclphysb.2018.06.004
|
YITP-17-102
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an anti-de-Sitter (AdS) geometry from a conformal field theory
(CFT) defined on a general conformally flat manifold via a flow equation
associated with the curved manifold, which we refer to as the primary flow
equation. We explicitly show that the induced metric associated with the
primary flow equation becomes AdS whose boundary is the curved manifold.
Interestingly, it turns out that such an AdS metric with conformally flat
boundary is obtained from the usual Poincare AdS by a simple bulk
diffeomorphism transformation. We also demonstrate that the emergence of such
an AdS space is guaranteed only by the conformal symmetry at boundary, which
converts to the AdS isometry after quantum averaging, as in the case of the
flat boundary.
|
[
{
"created": "Thu, 21 Sep 2017 12:30:46 GMT",
"version": "v1"
}
] |
2018-08-01
|
[
[
"Aoki",
"Sinya",
""
],
[
"Yokoyama",
"Shuichi",
""
]
] |
We construct an anti-de-Sitter (AdS) geometry from a conformal field theory (CFT) defined on a general conformally flat manifold via a flow equation associated with the curved manifold, which we refer to as the primary flow equation. We explicitly show that the induced metric associated with the primary flow equation becomes AdS whose boundary is the curved manifold. Interestingly, it turns out that such an AdS metric with conformally flat boundary is obtained from the usual Poincare AdS by a simple bulk diffeomorphism transformation. We also demonstrate that the emergence of such an AdS space is guaranteed only by the conformal symmetry at boundary, which converts to the AdS isometry after quantum averaging, as in the case of the flat boundary.
|
hep-th/9308095
|
Jisuke Kubo
|
Takanori Fujiwara, Yuji Igarashi and Jisuke Kubo
|
Weyl Invariance and Spurious Black Hole in Two-Dimensional Dilaton
Gravity
|
28 pages, KANAZAWA-93-06
|
Int. J. Mod. Phys. A9 (1994) 4811-4835
|
10.1142/S0217751X94001953
| null |
hep-th
| null |
In two-dimensional dilaton gravity theories, there may exist a global Weyl
invariance which makes black hole spurious. If the global invariance and the
local Weyl invariance of the matter coupling are intact at the quantum level,
there is no Hawking radiation. We explicitly verify the absence of anomalies in
these symmetries for the model proposed by Callan, Giddings, Harvey and
Strominger. The crucial observation is that the conformal anomaly can be
cohomologically trivial and so not truly anomalous in such dilaton gravity
models.
|
[
{
"created": "Fri, 20 Aug 1993 02:42:39 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Fujiwara",
"Takanori",
""
],
[
"Igarashi",
"Yuji",
""
],
[
"Kubo",
"Jisuke",
""
]
] |
In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The crucial observation is that the conformal anomaly can be cohomologically trivial and so not truly anomalous in such dilaton gravity models.
|
1007.0518
|
Luis E. Oxman
|
L. E. Oxman
|
Diagonal deformations of thin center vortices and their stability in
Yang-Mills theories
|
20 pages, LaTeX
|
JHEP 1107:078,2011
|
10.1007/JHEP07(2011)078
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The importance of center vortices for the understanding of the confining
properties of SU(N) Yang-Mills theories is well established in the lattice.
However, in the continuum, there is a problem concerning the relevance of
center vortex backgrounds. They display the so called Savvidy-Nielsen-Olesen
instability, associated with a gyromagnetic ratio $g^{(b)}_m=2$ for the
off-diagonal gluons.
In this work, we initially consider the usual definition of a {\it thin}
center vortex and rewrite it in terms of a local color frame in SU(N)
Yang-Mills theories. Then, we define a thick center vortex as a diagonal
deformation of the thin object. Besides the usual thick background profile,
this deformation also contains a frame defect coupled with gyromagnetic ratio
$g^{(d)}_m=1$, originated from the charged sector. As a consequence, the
analysis of stability is modified. In particular, we point out that the defect
should stabilize a vortex configuration formed by a pair of straight components
separated by an appropriate finite distance.
|
[
{
"created": "Sun, 4 Jul 2010 00:19:34 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 17:51:38 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Aug 2011 13:18:58 GMT",
"version": "v3"
}
] |
2011-08-23
|
[
[
"Oxman",
"L. E.",
""
]
] |
The importance of center vortices for the understanding of the confining properties of SU(N) Yang-Mills theories is well established in the lattice. However, in the continuum, there is a problem concerning the relevance of center vortex backgrounds. They display the so called Savvidy-Nielsen-Olesen instability, associated with a gyromagnetic ratio $g^{(b)}_m=2$ for the off-diagonal gluons. In this work, we initially consider the usual definition of a {\it thin} center vortex and rewrite it in terms of a local color frame in SU(N) Yang-Mills theories. Then, we define a thick center vortex as a diagonal deformation of the thin object. Besides the usual thick background profile, this deformation also contains a frame defect coupled with gyromagnetic ratio $g^{(d)}_m=1$, originated from the charged sector. As a consequence, the analysis of stability is modified. In particular, we point out that the defect should stabilize a vortex configuration formed by a pair of straight components separated by an appropriate finite distance.
|
2312.11691
|
Jo\~ao Paulo S. Melo
|
Jo\~ao Paulo S. Melo, Wagno Cesar e Silva, Jos\'e A. Helay\"el-Neto
|
SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the
electron's EDM
|
32 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
This contribution sets out to pursue the investigation of a supersymmetric
electrodynamics model with Lorentz-symmetry violation (LSV) manifested by a
space-time unbalance in the propagation of the fermionic charged matter.
Despite violation of Lorentz symmetry, the supersymmetry algebra is kept
untouched. We then adopt a superspace approach to build up an
$\mathcal{N}=1$-supersymmetric Abelian gauge theory in presence of a
Lorentz-violating background supermultiplet that accommodates the space-time
asymmetry parameter of the charged matter. We describe, in this scenario, how
the particular Lorentz-symmetry breaking, brought about by the fermionic
matter, affects its (matter) scalar partners and the photon/photino that
minimally couple to charged matter. From the (modified) Dirac, Klein-Gordon and
Maxwell field equations, we work out the corresponding dispersion relations to
inspect and discuss the physical effects of the LSV Majorana fermion
condensates that naturally emerge from the background supermultiplet. Finally,
we target efforts to investigate the Gordon decomposition of the charged lepton
electromagnetic current. This is carried out by iterating the (fermion and
scalar) matter field equations, which points to an effective contribution to
the electron's electric dipole moment (EDM). This result allows us to attain an
estimate of the pseudo-vector condensate of the (LSV) Majorana background
fermion.
|
[
{
"created": "Mon, 18 Dec 2023 20:30:10 GMT",
"version": "v1"
}
] |
2023-12-20
|
[
[
"Melo",
"João Paulo S.",
""
],
[
"Silva",
"Wagno Cesar e",
""
],
[
"Helayël-Neto",
"José A.",
""
]
] |
This contribution sets out to pursue the investigation of a supersymmetric electrodynamics model with Lorentz-symmetry violation (LSV) manifested by a space-time unbalance in the propagation of the fermionic charged matter. Despite violation of Lorentz symmetry, the supersymmetry algebra is kept untouched. We then adopt a superspace approach to build up an $\mathcal{N}=1$-supersymmetric Abelian gauge theory in presence of a Lorentz-violating background supermultiplet that accommodates the space-time asymmetry parameter of the charged matter. We describe, in this scenario, how the particular Lorentz-symmetry breaking, brought about by the fermionic matter, affects its (matter) scalar partners and the photon/photino that minimally couple to charged matter. From the (modified) Dirac, Klein-Gordon and Maxwell field equations, we work out the corresponding dispersion relations to inspect and discuss the physical effects of the LSV Majorana fermion condensates that naturally emerge from the background supermultiplet. Finally, we target efforts to investigate the Gordon decomposition of the charged lepton electromagnetic current. This is carried out by iterating the (fermion and scalar) matter field equations, which points to an effective contribution to the electron's electric dipole moment (EDM). This result allows us to attain an estimate of the pseudo-vector condensate of the (LSV) Majorana background fermion.
|
hep-th/9306145
|
Maximilian Kreuzer
|
M. Kreuzer and A. N. Schellekens
|
Simple currents versus orbifolds with discrete torsion -- a complete
classification
|
28 pages
|
Nucl.Phys. B411 (1994) 97-121
|
10.1016/0550-3213(94)90055-8
|
CERN-TH.6912/93 & NIKHEF-H/93-13
|
hep-th
| null |
We give a complete classification of all simple current modular invariants,
extending previous results for $(\Zbf_p)^k$ to arbitrary centers. We obtain a
simple explicit formula for the most general case. Using orbifold techniques to
this end, we find a one-to-one correspondence between simple current invariants
and subgroups of the center with discrete torsions. As a by-product, we prove
the conjectured monodromy independence of the total number of such invariants.
The orbifold approach works in a straightforward way for symmetries of odd
order, but some modifications are required to deal with symmetries of even
order. With these modifications the orbifold construction with discrete torsion
is complete within the class of simple current invariants. Surprisingly, there
are cases where discrete torsion is a necessity rather than a possibility.
|
[
{
"created": "Mon, 28 Jun 1993 12:33:16 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kreuzer",
"M.",
""
],
[
"Schellekens",
"A. N.",
""
]
] |
We give a complete classification of all simple current modular invariants, extending previous results for $(\Zbf_p)^k$ to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and subgroups of the center with discrete torsions. As a by-product, we prove the conjectured monodromy independence of the total number of such invariants. The orbifold approach works in a straightforward way for symmetries of odd order, but some modifications are required to deal with symmetries of even order. With these modifications the orbifold construction with discrete torsion is complete within the class of simple current invariants. Surprisingly, there are cases where discrete torsion is a necessity rather than a possibility.
|
1701.00087
|
Eugenio Megias
|
Eugenio Megias
|
Anomaly induced transport in non-anomalous currents
|
8 pages, 1 figure. Presented by E.Megias at the 5th International
Conference on New Frontiers in Physics (ICNFP 2016), 6-14 July 2016,
Kolymbari, Crete, Greece; v2 added references
| null |
10.1051/epjconf/201716408001
|
MPP-2016-310
|
hep-th cond-mat.str-el hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum anomalies are one of the subtlest properties of relativistic field
theories. They give rise to non-dissipative transport coefficients in the
hydrodynamic expansion. In particular a magnetic field can induce an anomalous
current via the chiral magnetic effect. In this work we explore the possibility
that anomalies can induce a chiral magnetic effect in non-anomalous currents as
well. This effect is implemented through an explicit breaking of the
symmetries.
|
[
{
"created": "Sat, 31 Dec 2016 11:04:21 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2017 15:38:06 GMT",
"version": "v2"
}
] |
2018-02-14
|
[
[
"Megias",
"Eugenio",
""
]
] |
Quantum anomalies are one of the subtlest properties of relativistic field theories. They give rise to non-dissipative transport coefficients in the hydrodynamic expansion. In particular a magnetic field can induce an anomalous current via the chiral magnetic effect. In this work we explore the possibility that anomalies can induce a chiral magnetic effect in non-anomalous currents as well. This effect is implemented through an explicit breaking of the symmetries.
|
1003.2862
|
Richard Eager
|
Richard Eager
|
Brane Tilings and Non-Commutative Geometry
|
23 pages; v2: reference added, minor changes
|
JHEP 1103:026,2011
|
10.1007/JHEP03(2011)026
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the quiver gauge theory on the world-volume of D3-branes transverse
to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting
object first constructed by Van den Bergh. The quiver gauge theory can be
concisely specified by an embedding of a graph into a face-centered cubic
lattice. In this description, planar Seiberg dualities of the gauge theory act
by changing the graph embedding. We use this description of Seiberg duality to
show these quiver gauge theories possess periodic Seiberg dualities whose
existence was expected from the AdS/CFT correspondence.
|
[
{
"created": "Mon, 15 Mar 2010 08:35:05 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Nov 2010 14:24:59 GMT",
"version": "v2"
}
] |
2011-03-18
|
[
[
"Eager",
"Richard",
""
]
] |
We derive the quiver gauge theory on the world-volume of D3-branes transverse to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting object first constructed by Van den Bergh. The quiver gauge theory can be concisely specified by an embedding of a graph into a face-centered cubic lattice. In this description, planar Seiberg dualities of the gauge theory act by changing the graph embedding. We use this description of Seiberg duality to show these quiver gauge theories possess periodic Seiberg dualities whose existence was expected from the AdS/CFT correspondence.
|
2108.04216
|
Gang Chen
|
Andreas Brandhuber, Gang Chen, Gabriele Travaglini and Congkao Wen
|
Classical gravitational scattering from a gauge-invariant double copy
|
62 pages, 20 figures,reference added, minor revision
| null |
10.1007/JHEP10(2021)118
|
QMUL-PH-21-18, SAGEX-21-07
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a method to compute the scattering angle for classical black hole
scattering directly from two massive particle irreducible diagrams in a
heavy-mass effective field theory approach to general relativity, without the
need of subtracting iteration terms. The amplitudes in this effective theory
are constructed using a recently proposed novel colour-kinematic/double copy
for tree-level two-scalar, multi-graviton amplitudes, where the BCJ numerators
are gauge invariant and local with respect to the massless gravitons. These
tree amplitudes, together with graviton tree amplitudes, enter the construction
of the required $D$-dimensional loop integrands and allow for a direct
extraction of contributions relevant for classical physics. In particular the
soft/heavy-mass expansions of full integrands is circumvented, and all
iterating contributions can be dropped from the get go. We use this method to
compute the scattering angle up to third post-Minkowskian order in four
dimensions, including radiation reaction contributions, also providing the
expression of the corresponding integrand in $D$ dimensions.
|
[
{
"created": "Mon, 9 Aug 2021 17:59:35 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2021 17:32:34 GMT",
"version": "v2"
}
] |
2021-11-03
|
[
[
"Brandhuber",
"Andreas",
""
],
[
"Chen",
"Gang",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Wen",
"Congkao",
""
]
] |
We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. The amplitudes in this effective theory are constructed using a recently proposed novel colour-kinematic/double copy for tree-level two-scalar, multi-graviton amplitudes, where the BCJ numerators are gauge invariant and local with respect to the massless gravitons. These tree amplitudes, together with graviton tree amplitudes, enter the construction of the required $D$-dimensional loop integrands and allow for a direct extraction of contributions relevant for classical physics. In particular the soft/heavy-mass expansions of full integrands is circumvented, and all iterating contributions can be dropped from the get go. We use this method to compute the scattering angle up to third post-Minkowskian order in four dimensions, including radiation reaction contributions, also providing the expression of the corresponding integrand in $D$ dimensions.
|
0811.0184
|
Keun-young Kim
|
Keun-Young Kim and Ismail Zahed
|
Baryonic Response of Dense Holographic QCD
|
V2: 47 pages, 7 figures, references added, typos corrected
|
JHEP 0812:075,2008
|
10.1088/1126-6708/2008/12/075
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The response function of a homogeneous and dense hadronic system to a
time-dependent (baryon) vector potential is discussed for holographic dense QCD
(D4/D8 embedding) both in the confined and deconfined phases. Confined
holographic QCD is an uncompressible and static baryonic insulator at large N_c
and large \lambda, with a gapped vector spectrum and a massless pion.
Deconfined holographic QCD is a diffusive conductor with restored chiral
symmetry and a gapped transverse baryonic current. Similarly, dense D3/D7 is
diffusive for any non-zero temperature at large N_c and large \lambda. At zero
temperature dense D3/D7 exhibits a baryonic longitudinal visco-elastic mode
with a first sound speed \lambda/\sqrt{3} and a small width due to a shear
viscosity to baryon ratio \eta/n_B=\hbar/4. This mode is turned diffusive by
arbitrarily small temperatures, a hallmark of holography.
|
[
{
"created": "Mon, 3 Nov 2008 02:33:56 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Dec 2008 03:12:40 GMT",
"version": "v2"
}
] |
2009-02-10
|
[
[
"Kim",
"Keun-Young",
""
],
[
"Zahed",
"Ismail",
""
]
] |
The response function of a homogeneous and dense hadronic system to a time-dependent (baryon) vector potential is discussed for holographic dense QCD (D4/D8 embedding) both in the confined and deconfined phases. Confined holographic QCD is an uncompressible and static baryonic insulator at large N_c and large \lambda, with a gapped vector spectrum and a massless pion. Deconfined holographic QCD is a diffusive conductor with restored chiral symmetry and a gapped transverse baryonic current. Similarly, dense D3/D7 is diffusive for any non-zero temperature at large N_c and large \lambda. At zero temperature dense D3/D7 exhibits a baryonic longitudinal visco-elastic mode with a first sound speed \lambda/\sqrt{3} and a small width due to a shear viscosity to baryon ratio \eta/n_B=\hbar/4. This mode is turned diffusive by arbitrarily small temperatures, a hallmark of holography.
|
hep-th/9812006
|
Miguel Socolovsky
|
M. A. Aguilar and M. Socolovsky
|
On the Topology of the Symmetry Group of the Standard Model
|
20 pages. Latex. Submitted to International Journal of Theoretical
Physics
|
Int.J.Theor.Phys. 38 (1999) 2485-2509
| null | null |
hep-th
| null |
We study the topological structure of the symmetry group of the standard
model, $G_{SM}=U(1)\times SU(2)\times SU(3)$. Locally, $G_{SM}\cong S^1\times
(S^3)^2\times S^5$. For SU(3), which is an $S^3$ bundle over $S^5$ (and
therefore a local product of these spheres) we give a canonical gauge i.e. a
canonical set of local trivializations. These formulae give the matrices of
SU(3) in terms of points of spheres. Globally, we prove that the characteristic
function of SU(3) is the suspension of the Hopf map $h: S^3 \to S^2$. We also
study the case of SU(n) for arbitrary $n$, in particular the cases of SU(4), a
flavour group, and of SU(5), a candidate group for grand unification. We show
that the 2-sphere is also related to the fundamental symmetries of nature due
to its relation to $SO^0(3,1)$, the identity component of the Lorentz group, a
subgroup of the symmetry group of several gauge theories of gravity.
|
[
{
"created": "Tue, 1 Dec 1998 16:35:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aguilar",
"M. A.",
""
],
[
"Socolovsky",
"M.",
""
]
] |
We study the topological structure of the symmetry group of the standard model, $G_{SM}=U(1)\times SU(2)\times SU(3)$. Locally, $G_{SM}\cong S^1\times (S^3)^2\times S^5$. For SU(3), which is an $S^3$ bundle over $S^5$ (and therefore a local product of these spheres) we give a canonical gauge i.e. a canonical set of local trivializations. These formulae give the matrices of SU(3) in terms of points of spheres. Globally, we prove that the characteristic function of SU(3) is the suspension of the Hopf map $h: S^3 \to S^2$. We also study the case of SU(n) for arbitrary $n$, in particular the cases of SU(4), a flavour group, and of SU(5), a candidate group for grand unification. We show that the 2-sphere is also related to the fundamental symmetries of nature due to its relation to $SO^0(3,1)$, the identity component of the Lorentz group, a subgroup of the symmetry group of several gauge theories of gravity.
|
1611.02973
|
Erik Jonathan Lindgren
|
Jonathan Lindgren
|
Collisions of massive particles, timelike thin shells and formation of
black holes in three dimensions
|
61 pages, 9 figures; v2: typos, references added
| null |
10.1007/JHEP12(2016)048
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study collisions of massive pointlike particles in three dimensional
anti-de Sitter space, generalizing the work on massless particles in [1]. We
show how to construct exact solutions corresponding to the formation of either
a black hole or a conical singularity from the collision of an arbitrary number
of massive particles that fall in radially and collide at the origin of AdS. No
restrictions on the masses or the angular and radial positions from where the
particles are released, are imposed. We also consider the limit of an infinite
number of particles, obtaining novel timelike thin shell spacetimes. These thin
shells have an arbitrary mass distribution as well as a non-trivial embedding
where the radial location of the shell depends on the angular coordinate, and
we analyze these shells using the junction formalism of general relativity. We
also consider the massless limit and find consistency with earlier results, as
well as comment on the stress-energy tensor modes of the dual CFT.
|
[
{
"created": "Wed, 9 Nov 2016 15:20:07 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jan 2017 16:09:25 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Lindgren",
"Jonathan",
""
]
] |
We study collisions of massive pointlike particles in three dimensional anti-de Sitter space, generalizing the work on massless particles in [1]. We show how to construct exact solutions corresponding to the formation of either a black hole or a conical singularity from the collision of an arbitrary number of massive particles that fall in radially and collide at the origin of AdS. No restrictions on the masses or the angular and radial positions from where the particles are released, are imposed. We also consider the limit of an infinite number of particles, obtaining novel timelike thin shell spacetimes. These thin shells have an arbitrary mass distribution as well as a non-trivial embedding where the radial location of the shell depends on the angular coordinate, and we analyze these shells using the junction formalism of general relativity. We also consider the massless limit and find consistency with earlier results, as well as comment on the stress-energy tensor modes of the dual CFT.
|
hep-th/0403025
|
Belkis Cabrera Palmer
|
Belkis Cabrera Palmer, Donald Marolf
|
Counting Supertubes
|
15 pages, v2: reference corrected; v3: few corrections and explicit
derivation of a relation are added to appendix A
|
JHEP 0406 (2004) 028
|
10.1088/1126-6708/2004/06/028
| null |
hep-th
| null |
The quantum states of the supertube are counted by directly quantizing the
linearized Born-Infeld action near the round tube. The result is an entropy $S
= 2\pi \sqrt{2 (Q_{D0}Q_{F1}-J)}$, in accord with conjectures in the
literature. As a result, supertubes may be the generic D0-F1 bound state. Our
approach also shows directly that supertubes are marginal bound states with a
discrete spectrum. We also discuss the relation to recent suggestions of Mathur
et al involving three-charge black holes.
|
[
{
"created": "Mon, 1 Mar 2004 22:24:41 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2004 19:08:51 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Mar 2004 03:27:24 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Jan 2005 19:55:12 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Palmer",
"Belkis Cabrera",
""
],
[
"Marolf",
"Donald",
""
]
] |
The quantum states of the supertube are counted by directly quantizing the linearized Born-Infeld action near the round tube. The result is an entropy $S = 2\pi \sqrt{2 (Q_{D0}Q_{F1}-J)}$, in accord with conjectures in the literature. As a result, supertubes may be the generic D0-F1 bound state. Our approach also shows directly that supertubes are marginal bound states with a discrete spectrum. We also discuss the relation to recent suggestions of Mathur et al involving three-charge black holes.
|
0903.5176
|
Sergey Yu. Vernov
|
Alexey S. Koshelev and Sergey Yu. Vernov
|
Cosmological perturbations in SFT inspired non-local scalar field models
|
21 pages, no figures, v3: presentation improved, results unchanged,
references added
|
Eur. Phys. J. C 72 (2012) 2198
|
10.1140/epjc/s10052-012-2198-4
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study cosmological perturbations in models with a single non-local scalar
field originating from the string field theory description of the rolling
tachyon dynamics. We construct the equation for the energy density
perturbations of the non-local scalar field and explicitly prove that for the
free field it is identical to a system of local cosmological perturbation
equations in a particular model with multiple (maybe infinitely many) local
free scalar fields.
|
[
{
"created": "Mon, 30 Mar 2009 10:42:09 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2009 16:18:53 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jul 2012 15:36:06 GMT",
"version": "v3"
}
] |
2012-11-06
|
[
[
"Koshelev",
"Alexey S.",
""
],
[
"Vernov",
"Sergey Yu.",
""
]
] |
We study cosmological perturbations in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the non-local scalar field and explicitly prove that for the free field it is identical to a system of local cosmological perturbation equations in a particular model with multiple (maybe infinitely many) local free scalar fields.
|
hep-th/0206071
|
Niclas Wyllard
|
Howard J. Schnitzer and Niclas Wyllard
|
An orientifold of adS_5xT^11 with D7-branes, the associated alpha'^2-
corrections and their role in the dual N=1 Sp(2N+2M)xSp(2N) gauge theory
|
28 pages, 3 figures, LaTeX; v2: references added; v3: minor changes
|
JHEP 0208 (2002) 012
|
10.1088/1126-6708/2002/08/012
| null |
hep-th
| null |
We study the N=1 Sp(2N+2M)xSp(2N) gauge theory on a stack of N physical and M
fractional D3-branes in the background of an orientifolded conifold. The
gravity dual is a type IIB orientifold of adS_5xT^11 (with certain background
fluxes turned on) containing an O7-plane and 8 D7-branes. In the conformal case
(M=0), we argue that the alpha'^2-corrections localized on the 8 D7-branes and
the O7-plane should give vanishing contributions to the supergravity equations
of motion for the bulk fields. In the cascading case (M not equal to 0), we
argue that the alpha'^2-terms give rise to corrections which in the dual
Sp(2N+2M)xSp(2N) gauge theory can be interpreted as corrections to the
anomalous dimensions of the matter fields.
|
[
{
"created": "Sun, 9 Jun 2002 18:59:06 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2002 17:51:50 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Aug 2002 17:17:31 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Schnitzer",
"Howard J.",
""
],
[
"Wyllard",
"Niclas",
""
]
] |
We study the N=1 Sp(2N+2M)xSp(2N) gauge theory on a stack of N physical and M fractional D3-branes in the background of an orientifolded conifold. The gravity dual is a type IIB orientifold of adS_5xT^11 (with certain background fluxes turned on) containing an O7-plane and 8 D7-branes. In the conformal case (M=0), we argue that the alpha'^2-corrections localized on the 8 D7-branes and the O7-plane should give vanishing contributions to the supergravity equations of motion for the bulk fields. In the cascading case (M not equal to 0), we argue that the alpha'^2-terms give rise to corrections which in the dual Sp(2N+2M)xSp(2N) gauge theory can be interpreted as corrections to the anomalous dimensions of the matter fields.
|
hep-th/0206019
|
M. Haghighat
|
M. Haghighat and F. Loran
|
Three Body Bound State in Non-Commutative Space
|
10 pages, 3 figures, to appear in Phys. Rev. D
|
Phys.Rev.D67:096003,2003
|
10.1103/PhysRevD.67.096003
| null |
hep-th
| null |
The Bethe-Salpeter equation in non-commutative QED (NCQED) is considered for
three-body bound state. We study the non-relativistic limit of this equation in
the instantaneous approximation and derive the corresponding Schr\"{o}dinger
equation in non-commutative space. It is shown that the experimental data for
Helium atom puts an upper bound on the magnitude of the parameter of
non-commutativity, $\theta\sim10^{-9}\lambda_e^2$.
|
[
{
"created": "Mon, 3 Jun 2002 17:36:04 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2002 16:44:35 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Mar 2003 10:37:20 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Haghighat",
"M.",
""
],
[
"Loran",
"F.",
""
]
] |
The Bethe-Salpeter equation in non-commutative QED (NCQED) is considered for three-body bound state. We study the non-relativistic limit of this equation in the instantaneous approximation and derive the corresponding Schr\"{o}dinger equation in non-commutative space. It is shown that the experimental data for Helium atom puts an upper bound on the magnitude of the parameter of non-commutativity, $\theta\sim10^{-9}\lambda_e^2$.
|
hep-th/0702123
|
Pavel Pobylitsa
|
P.V. Pobylitsa
|
Inequalities for Wilson loops, cusp singularities, area law and shape of
a drum
|
34 pages
| null | null | null |
hep-th hep-lat hep-ph
| null |
Inequalities are derived for Wilson loops generalizing the well-known Bachas
inequality for rectangular contours. The inequalities are compatible with the
area law for large contours. The Polyakov cusp anomalous dimension of Wilson
lines (playing an important role in QCD applications to hard processes) has a
convex angular dependence. This convexity is crucial for the consistency of the
inequalities with renormalization. Some parallel properties can be found in the
string theory. The Kac-Ray cusp term from the "shape of a drum" problem has the
same angular convexity property and plays the role of the cusp anomalous
dimension in the effective string model for Wilson loops studied by Luescher,
Symanzik and Weisz (LSW). Using heuristic arguments based on the LSW model, one
can find an interesting connection between the inequalities for Wilson loops
and inequalities for determinants of two-dimensional Laplacians with Dirichlet
boundary conditions on the closed contours associated with Wilson loops.
|
[
{
"created": "Thu, 15 Feb 2007 20:44:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pobylitsa",
"P. V.",
""
]
] |
Inequalities are derived for Wilson loops generalizing the well-known Bachas inequality for rectangular contours. The inequalities are compatible with the area law for large contours. The Polyakov cusp anomalous dimension of Wilson lines (playing an important role in QCD applications to hard processes) has a convex angular dependence. This convexity is crucial for the consistency of the inequalities with renormalization. Some parallel properties can be found in the string theory. The Kac-Ray cusp term from the "shape of a drum" problem has the same angular convexity property and plays the role of the cusp anomalous dimension in the effective string model for Wilson loops studied by Luescher, Symanzik and Weisz (LSW). Using heuristic arguments based on the LSW model, one can find an interesting connection between the inequalities for Wilson loops and inequalities for determinants of two-dimensional Laplacians with Dirichlet boundary conditions on the closed contours associated with Wilson loops.
|
hep-th/9408013
|
Nathan Seiberg
|
Nathan Seiberg
|
The Power of Holomorphy -- Exact Results in 4D SUSY Field Theories
|
13 pages, RU-94-64, IASSNS-HEP-94/57
| null | null | null |
hep-th hep-ph
| null |
Holomorphy of the superpotential and of the coefficient of the gauge kinetic
terms in supersymmetric theories lead to powerful results. They are the
underlying conceptual reason for the important non-renormalization theorems.
They also enable us to study the exact non-perturbative dynamics of these
theories. We find explicit realizations of known phenomena as well as new ones
in four dimensional strongly coupled field theories. These shed new light on
confinement and chiral symmetry breaking. This note is based on a talk
delivered at the PASCOS (94) meeting at Syracuse University.
|
[
{
"created": "Tue, 2 Aug 1994 17:43:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Seiberg",
"Nathan",
""
]
] |
Holomorphy of the superpotential and of the coefficient of the gauge kinetic terms in supersymmetric theories lead to powerful results. They are the underlying conceptual reason for the important non-renormalization theorems. They also enable us to study the exact non-perturbative dynamics of these theories. We find explicit realizations of known phenomena as well as new ones in four dimensional strongly coupled field theories. These shed new light on confinement and chiral symmetry breaking. This note is based on a talk delivered at the PASCOS (94) meeting at Syracuse University.
|
1210.1110
|
Chris White
|
S. Oxburgh and C. D. White
|
BCJ duality and the double copy in the soft limit
|
33 pages, 10 figures. Sections 3.1 and 3.2 corrected and expanded; to
appear in JHEP
| null |
10.1007/JHEP02(2013)127
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the structure of infrared singularities in QCD and quantum General
Relativity, from the point of view of the recently conjectured double copy
property which relates scattering amplitudes in non-Abelian gauge theories with
gravitational counterparts. We show that IR divergences in both theories are
consistent with the double copy procedure, to all orders in perturbation
theory, thus providing all loop-level evidence for the conjecture. We further
comment on the relevance, or otherwise, to the so-called dipole formula, a
conjecture for the complete structure of IR singularities in QCD.
|
[
{
"created": "Wed, 3 Oct 2012 13:59:45 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2013 10:44:04 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Oxburgh",
"S.",
""
],
[
"White",
"C. D.",
""
]
] |
We examine the structure of infrared singularities in QCD and quantum General Relativity, from the point of view of the recently conjectured double copy property which relates scattering amplitudes in non-Abelian gauge theories with gravitational counterparts. We show that IR divergences in both theories are consistent with the double copy procedure, to all orders in perturbation theory, thus providing all loop-level evidence for the conjecture. We further comment on the relevance, or otherwise, to the so-called dipole formula, a conjecture for the complete structure of IR singularities in QCD.
|
hep-th/0612151
|
Forough Nasseri
|
Forough Nasseri
|
Reply to:``Comment to:`Corrections to the fine structure constant in the
spacetime of a cosmic string from the generalized uncertainty principle'''
|
3 pages, accepted for publication in Phys.Lett.B
|
Phys.Lett.B645:470-471,2007
|
10.1016/j.physletb.2006.12.033
| null |
hep-th
| null |
In this Reply, using G.de.A.Marques' comment, we correct calculations and
results presented in [Phys.Lett.B 632(2006) 151-154] about corrections to the
fine structure constant in the spacetime of a cosmic string from the
generalized uncertainty principle.
|
[
{
"created": "Thu, 14 Dec 2006 16:10:51 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Nasseri",
"Forough",
""
]
] |
In this Reply, using G.de.A.Marques' comment, we correct calculations and results presented in [Phys.Lett.B 632(2006) 151-154] about corrections to the fine structure constant in the spacetime of a cosmic string from the generalized uncertainty principle.
|
1910.03985
|
Peter Millington
|
Jean Alexandre, John Ellis, Peter Millington, Dries Seynaeve
|
Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field
Theories
|
30 pages, 4 figures, revtex format; to match published version
|
Phys. Rev. D 101, 035008 (2020)
|
10.1103/PhysRevD.101.035008
|
KCL-PH-TH/2019-76, CERN-TH-2019-161
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalise our previous formulation of gauge-invariant PT-symmetric field
theories to include models with non-Abelian symmetries and discuss the
extension to such models of the Englert-Brout-Higgs-Kibble mechanism for
generating masses for vector bosons. As in the Abelian case, the non-Abelian
gauge fields are coupled to non-conserved currents. We present a consistent
scheme for gauge fixing, demonstrating Becchi-Rouet-Stora-Tyutin invariance,
and show that the particle spectrum and interactions are gauge invariant. We
exhibit the masses that gauge bosons in the simplest two-doublet SU(2)xU(1)
model acquire when certain scalar fields develop vacuum expectation values:
they and scalar masses depend quartically on the non-Hermitian mass parameter
mu. The bosonic mass spectrum differs substantially from that in a Hermitian
two-doublet model. This non-Hermitian extension of the Standard Model opens a
new direction for particle model building, with distinctive predictions to be
explored further.
|
[
{
"created": "Wed, 9 Oct 2019 13:43:15 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Feb 2020 16:27:05 GMT",
"version": "v2"
}
] |
2020-02-10
|
[
[
"Alexandre",
"Jean",
""
],
[
"Ellis",
"John",
""
],
[
"Millington",
"Peter",
""
],
[
"Seynaeve",
"Dries",
""
]
] |
We generalise our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses for vector bosons. As in the Abelian case, the non-Abelian gauge fields are coupled to non-conserved currents. We present a consistent scheme for gauge fixing, demonstrating Becchi-Rouet-Stora-Tyutin invariance, and show that the particle spectrum and interactions are gauge invariant. We exhibit the masses that gauge bosons in the simplest two-doublet SU(2)xU(1) model acquire when certain scalar fields develop vacuum expectation values: they and scalar masses depend quartically on the non-Hermitian mass parameter mu. The bosonic mass spectrum differs substantially from that in a Hermitian two-doublet model. This non-Hermitian extension of the Standard Model opens a new direction for particle model building, with distinctive predictions to be explored further.
|
1305.3637
|
Andreas Gustavsson
|
Dongsu Bak, Andreas Gustavsson
|
One dyonic instanton in 5d maximal SYM theory
|
54 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the one-instanton sector of 5d U(N) maximal SYM theory. By using the
moduli space approximation we obtain all the 1/4-BPS bound states of one dyonic
instanton when a vev is given to one of the SYM scalar fields that breaks U(N)
maximally. We compute the corresponding 1/4-BPS index and partition function
and find agreement with arXiv:1110.2175.
|
[
{
"created": "Wed, 15 May 2013 21:14:44 GMT",
"version": "v1"
}
] |
2013-05-17
|
[
[
"Bak",
"Dongsu",
""
],
[
"Gustavsson",
"Andreas",
""
]
] |
We study the one-instanton sector of 5d U(N) maximal SYM theory. By using the moduli space approximation we obtain all the 1/4-BPS bound states of one dyonic instanton when a vev is given to one of the SYM scalar fields that breaks U(N) maximally. We compute the corresponding 1/4-BPS index and partition function and find agreement with arXiv:1110.2175.
|
2102.02083
|
Gao-Ming Deng
|
Gao-Ming Deng, Jinbo Fan, Xinfei Li
|
Effects of global monopole on critical behaviors and microstructure of
charged AdS black holes
|
14 pages, 18 figures
| null |
10.1142/S0217732321501911
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As an intriguing topological defect, global monopole's influence on behaviors
of black holes has always been anticipated but still remains less clear.
Analyzing the thermodynamics of charged AdS black hole incorporating a global
monopole manifests that the black hole undergoes a first-order phase transition
at critical point, and of special interest, the critical behaviors
qualitatively resemble a Van der Waals liquid-gas system. This paper
concentrates on further investigating the charged AdS black hole with a global
monopole, aiming at clarifying the significant effects of the global monopole
on criticality and microstructure of charged AdS black holes. An interesting
dependence on the internal global monopole can be witnessed intuitively by
employing contrastive illustrations.
|
[
{
"created": "Wed, 3 Feb 2021 14:37:07 GMT",
"version": "v1"
}
] |
2021-09-15
|
[
[
"Deng",
"Gao-Ming",
""
],
[
"Fan",
"Jinbo",
""
],
[
"Li",
"Xinfei",
""
]
] |
As an intriguing topological defect, global monopole's influence on behaviors of black holes has always been anticipated but still remains less clear. Analyzing the thermodynamics of charged AdS black hole incorporating a global monopole manifests that the black hole undergoes a first-order phase transition at critical point, and of special interest, the critical behaviors qualitatively resemble a Van der Waals liquid-gas system. This paper concentrates on further investigating the charged AdS black hole with a global monopole, aiming at clarifying the significant effects of the global monopole on criticality and microstructure of charged AdS black holes. An interesting dependence on the internal global monopole can be witnessed intuitively by employing contrastive illustrations.
|
hep-th/0106282
|
Syksy Rasanen
|
Kari Enqvist, Esko Keski-Vakkuri and Syksy Rasanen
|
Hubble Law and Brane Matter after Ekpyrosis
|
17 pages, LaTex2e. v2: References added, discussion clarified. v3:
Summary of tension debate revised, wordings clarified
|
Nucl.Phys. B614 (2001) 388-401
|
10.1016/S0550-3213(01)00412-6
|
HIP-2001-28/TH
|
hep-th
| null |
We study brane matter in the ekpyrotic scenario and observe that in order to
obtain standard gravity on the visible brane, the tension of the visible brane
should be positive. If the sizes of both the fifth dimension and the Calabi-Yau
threefold are fixed, the Israel junction conditions do not allow time-dependent
brane matter. Relaxing this constraint, it is possible to obtain approximately
standard cosmology on the visible brane, with small corrections due to possible
time-dependence of the Calabi-Yau threefold.
|
[
{
"created": "Fri, 29 Jun 2001 15:59:39 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2001 14:55:04 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jul 2001 14:11:59 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Enqvist",
"Kari",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Rasanen",
"Syksy",
""
]
] |
We study brane matter in the ekpyrotic scenario and observe that in order to obtain standard gravity on the visible brane, the tension of the visible brane should be positive. If the sizes of both the fifth dimension and the Calabi-Yau threefold are fixed, the Israel junction conditions do not allow time-dependent brane matter. Relaxing this constraint, it is possible to obtain approximately standard cosmology on the visible brane, with small corrections due to possible time-dependence of the Calabi-Yau threefold.
|
1501.05912
|
Jochen Zahn
|
Jan Schlemmer and Jochen Zahn
|
The current density in quantum electrodynamics in external potentials
|
24 pages, 1 figure; v2: final version
|
Annals of Physics (2015), pp. 31-45
|
10.1016/j.aop.2015.04.006
|
UWThPh-2015-04
|
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review different definitions of the current density for quantized fermions
in the presence of an external electromagnetic field. Several deficiencies in
the popular prescription due to Schwinger and the mode sum formula for static
external potentials are pointed out. We argue that Dirac's method, which is the
analog of the Hadamard point-splitting employed in quantum field theory in
curved space-times, is conceptually the most satisfactory. As a concrete
example, we discuss vacuum polarization and the stress-energy tensor for
massless fermions in 1+1 dimension. Also a general formula for the vacuum
polarization in static external potentials in 3+1 dimensions is derived.
|
[
{
"created": "Fri, 23 Jan 2015 18:56:38 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2015 07:27:13 GMT",
"version": "v2"
}
] |
2015-05-21
|
[
[
"Schlemmer",
"Jan",
""
],
[
"Zahn",
"Jochen",
""
]
] |
We review different definitions of the current density for quantized fermions in the presence of an external electromagnetic field. Several deficiencies in the popular prescription due to Schwinger and the mode sum formula for static external potentials are pointed out. We argue that Dirac's method, which is the analog of the Hadamard point-splitting employed in quantum field theory in curved space-times, is conceptually the most satisfactory. As a concrete example, we discuss vacuum polarization and the stress-energy tensor for massless fermions in 1+1 dimension. Also a general formula for the vacuum polarization in static external potentials in 3+1 dimensions is derived.
|
2003.10860
|
Dmitry Kaparulin
|
D.S. Kaparulin, S.L. Lyakhovich, and O.D. Nosyrev
|
Resonance and stability of higher derivative theories of derived type
|
21 pages
|
Phys. Rev. D 101, 125004 (2020)
|
10.1103/PhysRevD.101.125004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the class of higher derivative field equations whose wave
operator is a square of another self-adjoint operator of lower order. At the
free level, the models of this class are shown to admit a two-parameter series
of integrals of motion. The series includes the canonical energy. Every
conserved quantity is unbounded in this series. The interactions are included
into the equations of motion such that a selected representative in conserved
quantity series is preserved at the non-linear level. The interactions are not
necessarily Lagrangian, but they admit Hamiltonian form of dynamics. The theory
is stable if the integral of motion is bounded from below due to the
interaction. The motions are finite in the vicinity of the conserved quantity
minimum. The equations of motion for fluctuations have the derived form with no
resonance. The general constructions are exemplified by the models of the
Pais-Uhlenbeck oscillator with multiple frequency and Podolsky electrodynamics.
The example is also considered of stable non-abelian Yang-Mills theory with
higher derivatives.
|
[
{
"created": "Tue, 24 Mar 2020 14:09:51 GMT",
"version": "v1"
}
] |
2020-07-01
|
[
[
"Kaparulin",
"D. S.",
""
],
[
"Lyakhovich",
"S. L.",
""
],
[
"Nosyrev",
"O. D.",
""
]
] |
We consider the class of higher derivative field equations whose wave operator is a square of another self-adjoint operator of lower order. At the free level, the models of this class are shown to admit a two-parameter series of integrals of motion. The series includes the canonical energy. Every conserved quantity is unbounded in this series. The interactions are included into the equations of motion such that a selected representative in conserved quantity series is preserved at the non-linear level. The interactions are not necessarily Lagrangian, but they admit Hamiltonian form of dynamics. The theory is stable if the integral of motion is bounded from below due to the interaction. The motions are finite in the vicinity of the conserved quantity minimum. The equations of motion for fluctuations have the derived form with no resonance. The general constructions are exemplified by the models of the Pais-Uhlenbeck oscillator with multiple frequency and Podolsky electrodynamics. The example is also considered of stable non-abelian Yang-Mills theory with higher derivatives.
|
hep-th/0306189
|
Isao Kishimoto
|
Isao Kishimoto, Yutaka Matsuo and Eitoku Watanabe
|
Boundary states as exact solutions of (vacuum) closed string field
theory
|
30 pages, 2 figures, v3:regularization improved
|
Phys.Rev. D68 (2003) 126006
|
10.1103/PhysRevD.68.126006
|
UT-03-22
|
hep-th
| null |
We show that the boundary states are idempotent B*B=B with respect to the
star product of HIKKO type closed string field theory. Variations around the
boundary state correctly reproduce the open string spectrum with the gauge
symmetry. We explicitly demonstrate it for the tachyonic and massless vector
modes. The idempotency relation may be regarded as the equation of motion of
closed string field theory at a possible vacuum.
|
[
{
"created": "Thu, 19 Jun 2003 18:02:28 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2003 13:24:37 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Sep 2003 12:20:28 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Dec 2003 19:11:11 GMT",
"version": "v4"
}
] |
2016-09-06
|
[
[
"Kishimoto",
"Isao",
""
],
[
"Matsuo",
"Yutaka",
""
],
[
"Watanabe",
"Eitoku",
""
]
] |
We show that the boundary states are idempotent B*B=B with respect to the star product of HIKKO type closed string field theory. Variations around the boundary state correctly reproduce the open string spectrum with the gauge symmetry. We explicitly demonstrate it for the tachyonic and massless vector modes. The idempotency relation may be regarded as the equation of motion of closed string field theory at a possible vacuum.
|
0907.4604
|
D.N. Triantafyllopoulos
|
E. Avsar, E. Iancu, L. McLerran, D.N. Triantafyllopoulos
|
Shockwaves and deep inelastic scattering within the gauge/gravity
duality
|
43 pages
| null |
10.1088/1126-6708/2009/11/105
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the gauge/gravity correspondence, we discuss the general formulation
of the shockwave metric which is dual to a 'nucleus' described by the
strongly-coupled N=4 SYM theory in the limit where the number of colors Nc is
arbitrarily large. We emphasize that the 'nucleus' must possess Nc^2 degrees of
freedom per unit volume, so like a finite-temperature plasma, in order for a
supergravity description to exist. We critically reassess previous proposals
for introducing transverse inhomogeneity in the shockwave and formulate a new
proposal in that sense, which involves no external source but requires the
introduction of an 'infrared' cutoff which mimics confinement. This cutoff
however plays no role when the shockwave is probed by a highly virtual
projectile, so like in deep inelastic scattering. We consider two such
projectiles, the dilaton and the R-current, and compute the respective
structure functions including unitarity corrections. We find that there are no
leading-twist contributions to the structure functions at high virtuality,
meaning that there are no point-like constituents in the strongly coupled
'nucleus'. In the black-disk regime at low virtuality, the structure functions
are suggestive of parton saturation with occupation numbers of order one. The
saturation momentum Qs grows with the energy like Qs^2 ~ 1/x (with x the
Bjorken variable), which is the hallmark of graviton exchanges and is also
necessary for the fulfillment of the energy-momentum sum rules.
|
[
{
"created": "Mon, 27 Jul 2009 14:27:44 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Avsar",
"E.",
""
],
[
"Iancu",
"E.",
""
],
[
"McLerran",
"L.",
""
],
[
"Triantafyllopoulos",
"D. N.",
""
]
] |
Within the gauge/gravity correspondence, we discuss the general formulation of the shockwave metric which is dual to a 'nucleus' described by the strongly-coupled N=4 SYM theory in the limit where the number of colors Nc is arbitrarily large. We emphasize that the 'nucleus' must possess Nc^2 degrees of freedom per unit volume, so like a finite-temperature plasma, in order for a supergravity description to exist. We critically reassess previous proposals for introducing transverse inhomogeneity in the shockwave and formulate a new proposal in that sense, which involves no external source but requires the introduction of an 'infrared' cutoff which mimics confinement. This cutoff however plays no role when the shockwave is probed by a highly virtual projectile, so like in deep inelastic scattering. We consider two such projectiles, the dilaton and the R-current, and compute the respective structure functions including unitarity corrections. We find that there are no leading-twist contributions to the structure functions at high virtuality, meaning that there are no point-like constituents in the strongly coupled 'nucleus'. In the black-disk regime at low virtuality, the structure functions are suggestive of parton saturation with occupation numbers of order one. The saturation momentum Qs grows with the energy like Qs^2 ~ 1/x (with x the Bjorken variable), which is the hallmark of graviton exchanges and is also necessary for the fulfillment of the energy-momentum sum rules.
|
hep-th/9412087
| null |
R. Kirschner and L. Szymanowski
|
Effective Action for High-Energy Scattering in Gravity
|
15 pages, LATEX
|
Phys.Rev. D52 (1995) 2333-2340
|
10.1103/PhysRevD.52.2333
|
SISSA Ref. 194/94/EP
|
hep-th
| null |
The multi-Regge effective action is derived directly from the linearized
gravity action. After excluding the redundant field components we separate the
fields into momentum modes and integrate over modes which correspond neither to
the kinematics of scattering nor to the one of exchanged particles. The
effective vertices of scattering and of particle production are obtained as
sums of the contributions from the triple and quartic interaction terms and the
fields in the effective action are defined in terms of the two physical
components of the metric fluctuation.
|
[
{
"created": "Fri, 9 Dec 1994 16:28:46 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kirschner",
"R.",
""
],
[
"Szymanowski",
"L.",
""
]
] |
The multi-Regge effective action is derived directly from the linearized gravity action. After excluding the redundant field components we separate the fields into momentum modes and integrate over modes which correspond neither to the kinematics of scattering nor to the one of exchanged particles. The effective vertices of scattering and of particle production are obtained as sums of the contributions from the triple and quartic interaction terms and the fields in the effective action are defined in terms of the two physical components of the metric fluctuation.
|
hep-th/0405223
|
Christof Wetterich
|
C.Wetterich
|
On the origin of the difference between time and space
|
4 pages
| null |
10.1103/PhysRevLett.94.011602
| null |
hep-th
| null |
We suggest that the difference between time and space is due to spontaneous
symmetry breaking. In a theory with spinors the signature of the metric is
related to the signature of the Lorentz-group. We discuss a higher symmetry
that contains pseudo-orthogonal groups with arbitrary signature as subgroups.
The fundamental asymmetry between time and space arises then as a property of
the ground state rather than being put into the formulation of the theory a
priori. We show how the complex structure of quantum field theory as well as
gravitational field equations arise from spinor gravity - a fundamental spinor
theory without a metric.
|
[
{
"created": "Tue, 25 May 2004 15:59:31 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Wetterich",
"C.",
""
]
] |
We suggest that the difference between time and space is due to spontaneous symmetry breaking. In a theory with spinors the signature of the metric is related to the signature of the Lorentz-group. We discuss a higher symmetry that contains pseudo-orthogonal groups with arbitrary signature as subgroups. The fundamental asymmetry between time and space arises then as a property of the ground state rather than being put into the formulation of the theory a priori. We show how the complex structure of quantum field theory as well as gravitational field equations arise from spinor gravity - a fundamental spinor theory without a metric.
|
1409.5350
|
Alexander Westphal
|
Alexander Westphal
|
String Cosmology - Large-Field Inflation in String Theory
|
34 pages, 1 figure, LaTeX, v2: typos fixed, 3 references added,
agrees with published version in "Perspectives in String Phenomenology" and
"International Journal of Modern Physics A"
| null |
10.1142/S0217751X15300240
|
DESY-14-149
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a short review of string cosmology. We wish to connect string-scale
physics as closely as possible to observables accessible to current or
near-future experiments. Our possible best hope to do so is a description of
inflation in string theory. The energy scale of inflation can be as high as
that of Grand Unification (GUT). If this is the case, this is the closest we
can possibly get in energy scales to string-scale physics. Hence, GUT-scale
inflation may be our best candidate phenomenon to preserve traces of
string-scale dynamics. Our chance to look for such traces is the primordial
gravitational wave, or tensor mode signal produced during inflation. For
GUT-scale inflation this is strong enough to be potentially visible as a B-mode
polarization of the cosmic microwave background (CMB). Moreover, a GUT-scale
inflation model has a trans-Planckian excursion of the inflaton scalar field
during the observable amount of inflation. Such large-field models of inflation
have a clear need for symmetry protection against quantum corrections. This
makes them ideal candidates for a description in a candidate fundamental theory
like string theory. At the same time the need of large-field inflation models
for UV completion makes them particularly susceptible to preserve imprints of
their string-scale dynamics in the inflationary observables, the spectral index
$n_s$ and the fractional tensor mode power $r$. Hence, we will focus this
review on axion monodromy inflation as a mechanism of large-field inflation in
string theory.
|
[
{
"created": "Thu, 18 Sep 2014 15:58:00 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Dec 2015 17:07:59 GMT",
"version": "v2"
}
] |
2015-12-07
|
[
[
"Westphal",
"Alexander",
""
]
] |
This is a short review of string cosmology. We wish to connect string-scale physics as closely as possible to observables accessible to current or near-future experiments. Our possible best hope to do so is a description of inflation in string theory. The energy scale of inflation can be as high as that of Grand Unification (GUT). If this is the case, this is the closest we can possibly get in energy scales to string-scale physics. Hence, GUT-scale inflation may be our best candidate phenomenon to preserve traces of string-scale dynamics. Our chance to look for such traces is the primordial gravitational wave, or tensor mode signal produced during inflation. For GUT-scale inflation this is strong enough to be potentially visible as a B-mode polarization of the cosmic microwave background (CMB). Moreover, a GUT-scale inflation model has a trans-Planckian excursion of the inflaton scalar field during the observable amount of inflation. Such large-field models of inflation have a clear need for symmetry protection against quantum corrections. This makes them ideal candidates for a description in a candidate fundamental theory like string theory. At the same time the need of large-field inflation models for UV completion makes them particularly susceptible to preserve imprints of their string-scale dynamics in the inflationary observables, the spectral index $n_s$ and the fractional tensor mode power $r$. Hence, we will focus this review on axion monodromy inflation as a mechanism of large-field inflation in string theory.
|
hep-th/0702152
|
Vladimir Dobrev
|
V. K. Dobrev
|
Invariant Differential Operators for Non-Compact Lie Groups: Parabolic
Subalgebras
|
44 pages; V2: important addition in Section 3 and misprints
corrected; more corrections in Section 3; v3-v6: various corrections; v7:
corrections in (11.7),(11.9),(11.11), and correspondingly in the Appendix;
v8: added dimensions of N-factors where missing; v9: added missing case in
11.37; v10: corrected misprint in 11.17; v11: added missing case in 11.37;
v12: typos corrected in (11.7),(11.9)
|
Rev. Math. Phys. 20 (2008) 407-449
|
10.1142/S0129055X08003341
| null |
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper we start the systematic explicit construction of
invariant differential operators by giving explicit description of one of the
main ingredients - the cuspidal parabolic subalgebras. We explicate also the
maximal parabolic subalgebras, since these are also important even when they
are not cuspidal. Our approach is easily generalised to the supersymmetric and
quantum group settings and is necessary for applications to string theory and
integrable models.
|
[
{
"created": "Mon, 19 Feb 2007 20:26:54 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2015 16:16:29 GMT",
"version": "v10"
},
{
"created": "Fri, 10 Aug 2018 17:11:53 GMT",
"version": "v11"
},
{
"created": "Thu, 26 Dec 2019 17:42:10 GMT",
"version": "v12"
},
{
"created": "Wed, 7 Oct 2020 17:01:22 GMT",
"version": "v13"
},
{
"created": "Tue, 26 Apr 2022 12:39:33 GMT",
"version": "v14"
},
{
"created": "Sat, 18 Mar 2023 16:48:16 GMT",
"version": "v15"
},
{
"created": "Sun, 25 Mar 2007 16:27:00 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jul 2007 17:44:53 GMT",
"version": "v3"
},
{
"created": "Sat, 18 Aug 2007 13:52:41 GMT",
"version": "v4"
},
{
"created": "Mon, 31 Dec 2007 10:14:37 GMT",
"version": "v5"
},
{
"created": "Thu, 7 Aug 2008 13:30:16 GMT",
"version": "v6"
},
{
"created": "Wed, 19 Nov 2008 15:25:43 GMT",
"version": "v7"
},
{
"created": "Sat, 1 Sep 2012 12:20:08 GMT",
"version": "v8"
},
{
"created": "Tue, 7 Apr 2015 15:24:26 GMT",
"version": "v9"
}
] |
2023-03-21
|
[
[
"Dobrev",
"V. K.",
""
]
] |
In the present paper we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients - the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalised to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.
|
1312.5430
|
Nicholas Halmagyi
|
Nick Halmagyi and Thomas Vanel
|
AdS Black Holes from Duality in Gauged Supergravity
|
21 pages
| null |
10.1007/JHEP04(2014)130
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study and utilize duality transformations in a particular STU-model of
four dimensional gauged supergravity. This model is a truncation of the de
Wit-Nicolai N=8 theory and as such has a lift to eleven-dimensional
supergravity on the seven-sphere. Our duality group is $U(1)^3$ and while it
can be applied to any solution of this theory, we consider the known
asymptotically AdS$_4$, supersymmetric black holes and focus on duality
transformations which preserve supersymmetry. For static black holes we
generalize the supersymmetric solutions of Cacciatori and Klemm from three
magnetic charges to include two additional electric charges and argue that this
is co-dimension one in the full space of supersymmetric static black holes in
the STU-model. These new static black holes have nontrivial profiles for
axions. For rotating black holes, we generalize the known two-parameter
supersymmetric solution to include an additional parameter which represents
scalar hair. When lifted to M-theory, these black holes correspond to the near
horizon geometry of a stack of BPS rotating M2-branes, spinning on an $S^7$
which is fibered non-trivially over a Riemann surface.
|
[
{
"created": "Thu, 19 Dec 2013 08:09:13 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Halmagyi",
"Nick",
""
],
[
"Vanel",
"Thomas",
""
]
] |
We study and utilize duality transformations in a particular STU-model of four dimensional gauged supergravity. This model is a truncation of the de Wit-Nicolai N=8 theory and as such has a lift to eleven-dimensional supergravity on the seven-sphere. Our duality group is $U(1)^3$ and while it can be applied to any solution of this theory, we consider the known asymptotically AdS$_4$, supersymmetric black holes and focus on duality transformations which preserve supersymmetry. For static black holes we generalize the supersymmetric solutions of Cacciatori and Klemm from three magnetic charges to include two additional electric charges and argue that this is co-dimension one in the full space of supersymmetric static black holes in the STU-model. These new static black holes have nontrivial profiles for axions. For rotating black holes, we generalize the known two-parameter supersymmetric solution to include an additional parameter which represents scalar hair. When lifted to M-theory, these black holes correspond to the near horizon geometry of a stack of BPS rotating M2-branes, spinning on an $S^7$ which is fibered non-trivially over a Riemann surface.
|
hep-th/0308071
|
David A. Sahakyan
|
David Kutasov, Andrei Parnachev and David A. Sahakyan
|
Central Charges and $U(1)_R$ Symmetries in ${\cal N}=1$ Super Yang-Mills
|
35 pages, 14 figures; harvmac
|
JHEP 0311:013,2003
|
10.1088/1126-6708/2003/11/013
|
EFI-03-40
|
hep-th
| null |
We use recent results of Intriligator and Wecht [hep-th/0304128] to study the
phase structure of $\NN=1$ super Yang-Mills theory with gauge group $SU(N_c)$,
a chiral superfield in the adjoint, and $N_f$ chiral superfields in the
fundamental representation of the gauge group. Our discussion sheds new light
on [hep-th/0304128] and supports the conjecture that the central charge $a$
decreases under RG flows and is non-negative in unitary four dimensional
conformal field theories.
|
[
{
"created": "Mon, 11 Aug 2003 17:45:12 GMT",
"version": "v1"
}
] |
2010-12-03
|
[
[
"Kutasov",
"David",
""
],
[
"Parnachev",
"Andrei",
""
],
[
"Sahakyan",
"David A.",
""
]
] |
We use recent results of Intriligator and Wecht [hep-th/0304128] to study the phase structure of $\NN=1$ super Yang-Mills theory with gauge group $SU(N_c)$, a chiral superfield in the adjoint, and $N_f$ chiral superfields in the fundamental representation of the gauge group. Our discussion sheds new light on [hep-th/0304128] and supports the conjecture that the central charge $a$ decreases under RG flows and is non-negative in unitary four dimensional conformal field theories.
|
2109.10942
|
Peter Lowdon
|
Shirley Weishi Li, Peter Lowdon, Orlando Oliveira, Paulo J. Silva
|
Non-perturbative BRST symmetry and the spectral structure of the ghost
propagator
|
14 pages, 1 figure; v2: additional comments and references added,
matches published version
|
Phys. Lett. B 823 (2021) 136753
|
10.1016/j.physletb.2021.136753
|
FERMILAB-PUB-21-475-T
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes
significant constraints on the analytic structure of the continuum theory. In
particular, the presence of this symmetry in the non-perturbative regime
implies that any on-shell state with vanishing norm must have an associated
partner state with identical mass, but negative inner product. In this work we
demonstrate that for quantum chromodynamics (QCD) this constraint gives rise to
an interconnection between the ghost and gluon spectra, and in doing so
provides a non-trivial test of whether BRST symmetry is realised
non-perturbatively. By analysing infrared lattice data for the minimal Landau
gauge ghost propagator in pure $\mathrm{SU}(3)$ Yang-Mills theory, and
comparing this with previous results for the gluon propagator, we show that
this interconnection is violated, and hence conclude that continuum and current
lattice formulations of Yang-Mills theory in Landau gauge represent two
distinct realisations of the theory.
|
[
{
"created": "Wed, 22 Sep 2021 18:06:26 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2021 13:16:35 GMT",
"version": "v2"
}
] |
2021-11-05
|
[
[
"Li",
"Shirley Weishi",
""
],
[
"Lowdon",
"Peter",
""
],
[
"Oliveira",
"Orlando",
""
],
[
"Silva",
"Paulo J.",
""
]
] |
In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that any on-shell state with vanishing norm must have an associated partner state with identical mass, but negative inner product. In this work we demonstrate that for quantum chromodynamics (QCD) this constraint gives rise to an interconnection between the ghost and gluon spectra, and in doing so provides a non-trivial test of whether BRST symmetry is realised non-perturbatively. By analysing infrared lattice data for the minimal Landau gauge ghost propagator in pure $\mathrm{SU}(3)$ Yang-Mills theory, and comparing this with previous results for the gluon propagator, we show that this interconnection is violated, and hence conclude that continuum and current lattice formulations of Yang-Mills theory in Landau gauge represent two distinct realisations of the theory.
|
2006.16996
|
Juven C. Wang
|
Juven Wang
|
Anomaly and Cobordism Constraints Beyond the Standard Model: Topological
Force
|
68 pages. Sequel: arXiv:2008.06499, arXiv:1910.14668. Primers:
arXiv:1812.11967, arXiv:1711.11587, arXiv:1705.06728, arXiv:1612.09298. v2:
Significant revision. Correct statements on 4d TQFTs in Sec 5. We focus only
on the even class such as a 2 mod 16 symmetric anomalous 4d TQFT. We can also
introduce 5d invertible TQFTs and right-hand neutrinos
| null | null | null |
hep-th cond-mat.supr-con hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Standard lore uses local anomalies to check the kinematic consistency of
gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on
a systematic cobordism classification, we examine constraints from invertible
quantum anomalies (including all perturbative local and nonperturbative global
anomalies) for gauge theories. We also clarify the different uses of these
anomalies: including (1) anomaly cancellations of dynamical gauge fields, (2)
't Hooft anomaly matching conditions of background fields of global symmetries,
and others. We apply several 4d $\mathbb{Z}_{n}$ anomaly constraints of
$n=16,4,2$ classes, beyond the familiar Feynman-graph perturbative $\mathbb{Z}$
class local anomalies. As an application, for
(SU(3)$\times$SU(2)$\times$U(1))/$\mathbb{Z}_q$ SM (with $q=1,2,3,6$) and SU(5)
Grand Unification with 15n chiral Weyl fermions and with a discrete baryon
minus lepton number $X=5({\bf B}- {\bf L})-4Y$ preserved, we discover a new
hidden gapped sector previously unknown to the SM and Georgi-Glashow model. The
gapped sector at low energy contains either (1) 4d non-invertible topological
quantum field theory (TQFT, above the energy gap with heavy fractionalized
anyon excitations from 1d particle worldline and 2d string worldsheet,
inaccessible directly from Dirac or Majorana mass gap of the 16th Weyl fermions
[i.e., right-handed neutrinos], but accessible via a topological quantum phase
transition), or (2) 5d invertible TQFT in extra dimensions. Above a higher
energy scale, the discrete $X$ becomes dynamically gauged, the entangled
Universe in 4d and 5d is mediated by Topological Force. Our model potentially
resolves puzzles, surmounting sterile neutrinos and dark matter, in fundamental
physics.
|
[
{
"created": "Tue, 30 Jun 2020 17:58:30 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2020 18:50:00 GMT",
"version": "v2"
}
] |
2020-12-24
|
[
[
"Wang",
"Juven",
""
]
] |
Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification, we examine constraints from invertible quantum anomalies (including all perturbative local and nonperturbative global anomalies) for gauge theories. We also clarify the different uses of these anomalies: including (1) anomaly cancellations of dynamical gauge fields, (2) 't Hooft anomaly matching conditions of background fields of global symmetries, and others. We apply several 4d $\mathbb{Z}_{n}$ anomaly constraints of $n=16,4,2$ classes, beyond the familiar Feynman-graph perturbative $\mathbb{Z}$ class local anomalies. As an application, for (SU(3)$\times$SU(2)$\times$U(1))/$\mathbb{Z}_q$ SM (with $q=1,2,3,6$) and SU(5) Grand Unification with 15n chiral Weyl fermions and with a discrete baryon minus lepton number $X=5({\bf B}- {\bf L})-4Y$ preserved, we discover a new hidden gapped sector previously unknown to the SM and Georgi-Glashow model. The gapped sector at low energy contains either (1) 4d non-invertible topological quantum field theory (TQFT, above the energy gap with heavy fractionalized anyon excitations from 1d particle worldline and 2d string worldsheet, inaccessible directly from Dirac or Majorana mass gap of the 16th Weyl fermions [i.e., right-handed neutrinos], but accessible via a topological quantum phase transition), or (2) 5d invertible TQFT in extra dimensions. Above a higher energy scale, the discrete $X$ becomes dynamically gauged, the entangled Universe in 4d and 5d is mediated by Topological Force. Our model potentially resolves puzzles, surmounting sterile neutrinos and dark matter, in fundamental physics.
|
1609.03007
|
Yi Pang
|
Yi Pang, Junchen Rong, Ning Su
|
$\phi^3$ theory with $F_4$ flavor symmetry in $6-2\epsilon$ dimensions:
3-loop renormalization and conformal bootstrap
|
22 pages, published version
|
JHEP 1612:057,2016
|
10.1007/JHEP12(2016)057
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $\phi^3$ theory in $6-2\epsilon$ with $F_4$ global symmetry. The
beta function is calculated up to 3 loops, and a stable unitary IR fixed point
is observed. The anomalous dimensions of operators quadratic or cubic in $\phi$
are also computed. We then employ conformal bootstrap technique to study the
fixed point predicted from the perturbative approach. For each putative scaling
dimension of $\phi$ ($\Delta_{\phi})$, we obtain the corresponding upper bound
on the scaling dimension of the second lowest scalar primary in the ${\mathbf
26}$ representation $(\Delta^{\rm 2nd}_{{\mathbf 26}})$ which appears in the
OPE of $\phi\times\phi$. In $D=5.95$, we observe a sharp peak on the upper
bound curve located at $\Delta_{\phi}$ equal to the value predicted by the
3-loop computation. In $D=5$, we observe a weak kink on the upper bound curve
at $(\Delta_{\phi},\Delta^{\rm 2nd}_{{\mathbf 26}})$=$(1.6,4)$.
|
[
{
"created": "Sat, 10 Sep 2016 07:24:48 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2016 11:29:06 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2016 12:14:14 GMT",
"version": "v3"
},
{
"created": "Sat, 17 Dec 2016 13:14:57 GMT",
"version": "v4"
}
] |
2016-12-20
|
[
[
"Pang",
"Yi",
""
],
[
"Rong",
"Junchen",
""
],
[
"Su",
"Ning",
""
]
] |
We consider $\phi^3$ theory in $6-2\epsilon$ with $F_4$ global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in $\phi$ are also computed. We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach. For each putative scaling dimension of $\phi$ ($\Delta_{\phi})$, we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the ${\mathbf 26}$ representation $(\Delta^{\rm 2nd}_{{\mathbf 26}})$ which appears in the OPE of $\phi\times\phi$. In $D=5.95$, we observe a sharp peak on the upper bound curve located at $\Delta_{\phi}$ equal to the value predicted by the 3-loop computation. In $D=5$, we observe a weak kink on the upper bound curve at $(\Delta_{\phi},\Delta^{\rm 2nd}_{{\mathbf 26}})$=$(1.6,4)$.
|
1309.6935
|
M\'ark Mezei
|
Hong Liu and M\'ark Mezei
|
Probing renormalization group flows using entanglement entropy
|
58 pages, 6 figures
| null |
10.1007/JHEP01(2014)098
|
MIT-CTP 4500
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we continue the study of renormalized entanglement entropy
introduced in [1]. In particular, we investigate its behavior near an IR fixed
point using holographic duality. We develop techniques which, for any static
holographic geometry, enable us to extract the large radius expansion of the
entanglement entropy for a spherical region. We show that for both a sphere and
a strip, the approach of the renormalized entanglement entropy to the IR fixed
point value contains a contribution that depends on the whole RG trajectory.
Such a contribution is dominant, when the leading irrelevant operator is
sufficiently irrelevant. For a spherical region such terms can be anticipated
from a geometric expansion, while for a strip whether these terms have
geometric origins remains to be seen.
|
[
{
"created": "Thu, 26 Sep 2013 15:20:27 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Liu",
"Hong",
""
],
[
"Mezei",
"Márk",
""
]
] |
In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic geometry, enable us to extract the large radius expansion of the entanglement entropy for a spherical region. We show that for both a sphere and a strip, the approach of the renormalized entanglement entropy to the IR fixed point value contains a contribution that depends on the whole RG trajectory. Such a contribution is dominant, when the leading irrelevant operator is sufficiently irrelevant. For a spherical region such terms can be anticipated from a geometric expansion, while for a strip whether these terms have geometric origins remains to be seen.
|
1104.0674
|
Matthew Roberts
|
Massimo Porrati and Matthew M. Roberts
|
Ghosts of Critical Gravity
|
v2: typos corrected and slight clarifications. 11 pages
|
Phys.Rev.D84:024013,2011
|
10.1103/PhysRevD.84.024013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently proposed "critical" higher-derivative gravities in $AdS_D$ $D>3$ are
expected to carry logarithmic representation of the Anti de Sitter isometry
group. In this note, we quantize linear fluctuations of these critical
gravities, which are known to be either identical with linear fluctuations of
Einstein's gravity or else satisfy logarithmic boundary conditions at spacial
infinity. We identify the scalar product uniquely defined by the symplectic
structure implied by the classical action, and show that it does not posses
null vectors. Instead, we show that the scalar product between any two Einstein
modes vanishes, while the scalar product of an Einstein mode with a logarithmic
mode is generically nonzero. This is the basic property of logarithmic
representation that makes them neither unitary nor unitarizable.
|
[
{
"created": "Mon, 4 Apr 2011 20:01:38 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2011 12:42:30 GMT",
"version": "v2"
}
] |
2011-08-08
|
[
[
"Porrati",
"Massimo",
""
],
[
"Roberts",
"Matthew M.",
""
]
] |
Recently proposed "critical" higher-derivative gravities in $AdS_D$ $D>3$ are expected to carry logarithmic representation of the Anti de Sitter isometry group. In this note, we quantize linear fluctuations of these critical gravities, which are known to be either identical with linear fluctuations of Einstein's gravity or else satisfy logarithmic boundary conditions at spacial infinity. We identify the scalar product uniquely defined by the symplectic structure implied by the classical action, and show that it does not posses null vectors. Instead, we show that the scalar product between any two Einstein modes vanishes, while the scalar product of an Einstein mode with a logarithmic mode is generically nonzero. This is the basic property of logarithmic representation that makes them neither unitary nor unitarizable.
|
hep-th/0106136
|
Ana Lopez
|
C.D. Fosco and A. Lopez
|
Aspects of noncommutative descriptions of planar systems in high
magnetic fields
| null |
J.Phys.A37:4123-4140,2004
|
10.1088/0305-4470/37/13/014
| null |
hep-th cond-mat.mes-hall
| null |
We study some aspects of recent proposals to use the noncommutative
Chern-Simons theory as an effective description of some planar condensed matter
models in strong magnetic fields, such as the Quantum Hall Effect. We present
an alternative justification for such a description, which may be extended to
other planar systems where a uniform magnetic field is present.
|
[
{
"created": "Fri, 15 Jun 2001 13:53:58 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Fosco",
"C. D.",
""
],
[
"Lopez",
"A.",
""
]
] |
We study some aspects of recent proposals to use the noncommutative Chern-Simons theory as an effective description of some planar condensed matter models in strong magnetic fields, such as the Quantum Hall Effect. We present an alternative justification for such a description, which may be extended to other planar systems where a uniform magnetic field is present.
|
hep-th/0606084
|
Tapobrata Sarkar
|
Tapobrata Sarkar, Gautam Sengupta, Bhupendra Nath Tiwari
|
On the Thermodynamic Geometry of BTZ Black Holes
|
1+17 pages, LaTeX, 4 eps figures
|
JHEP 0611:015,2006
|
10.1088/1126-6708/2006/11/015
| null |
hep-th
| null |
We investigate the Ruppeiner geometry of the thermodynamic state space of a
general class of BTZ black holes. It is shown that the thermodynamic geometry
is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the
canonical ensemble. We further investigate the inclusion of thermal
fluctuations to the canonical entropy of the BTZ Chern Simons black holes and
show that the leading logartithmic correction due to Carlip is reproduced. We
establish that the inclusion of thermal fluctuations induces a non zero scalar
curvature to the thermodynamic geometry.
|
[
{
"created": "Fri, 9 Jun 2006 10:27:00 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Sarkar",
"Tapobrata",
""
],
[
"Sengupta",
"Gautam",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] |
We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the canonical ensemble. We further investigate the inclusion of thermal fluctuations to the canonical entropy of the BTZ Chern Simons black holes and show that the leading logartithmic correction due to Carlip is reproduced. We establish that the inclusion of thermal fluctuations induces a non zero scalar curvature to the thermodynamic geometry.
|
hep-th/0311256
|
David Delphenich
|
D.H. Delphenich
|
On the Axioms of Topological Electromagnetism
|
40 pages 1 figure, substantial revision of sections on constitutive
laws
|
Annalen Phys. 14 (2005) 347-377
|
10.1002/andp.200510141
| null |
hep-th
| null |
The axioms of topological electromagnetism are refined by the introduction of
the de Rham homology of k-vector fields on orientable manifolds and the use of
Poincare duality in place of Hodge duality. The central problem of defining the
electromagnetic constitutive law is elaborated upon in the linear and nonlinear
cases. The manner by which the spacetime metric might follow from the
constitutive law is examined in the linear case. The possibility that the
intersection form of the spacetime manifold might play a role in defining a
topological basis for the constitutive law is explored. The manner by which
wave motion might follow from the electromagnetic structure is also discussed.
|
[
{
"created": "Wed, 26 Nov 2003 16:41:52 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Dec 2003 20:03:41 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Delphenich",
"D. H.",
""
]
] |
The axioms of topological electromagnetism are refined by the introduction of the de Rham homology of k-vector fields on orientable manifolds and the use of Poincare duality in place of Hodge duality. The central problem of defining the electromagnetic constitutive law is elaborated upon in the linear and nonlinear cases. The manner by which the spacetime metric might follow from the constitutive law is examined in the linear case. The possibility that the intersection form of the spacetime manifold might play a role in defining a topological basis for the constitutive law is explored. The manner by which wave motion might follow from the electromagnetic structure is also discussed.
|
hep-th/0406175
|
David A. Kosower
|
David A. Kosower
|
Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
|
12 pages, 1 figure
|
Phys.Rev. D71 (2005) 045007
|
10.1103/PhysRevD.71.045007
|
SPhT-T04/067
|
hep-th
| null |
Using the novel diagrammatic rules recently proposed by Cachazo, Svrcek, and
Witten, I give a compact, manifestly Lorentz-invariant form for tree-level
gauge-theory amplitudes with three opposite helicities.
|
[
{
"created": "Mon, 21 Jun 2004 14:42:53 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Kosower",
"David A.",
""
]
] |
Using the novel diagrammatic rules recently proposed by Cachazo, Svrcek, and Witten, I give a compact, manifestly Lorentz-invariant form for tree-level gauge-theory amplitudes with three opposite helicities.
|
hep-th/9604032
|
Itakura Kazunori
|
Kazunori Itakura (Univ. of Tokyo, Komaba)
|
Boson Expansion Methods in (1+1)-dimensional Light-Front QCD
|
20 pages, latex, no figures, journal version (no significant
changes), to appear in Phys. Rev. D
|
Phys.Rev. D54 (1996) 2853-2862
|
10.1103/PhysRevD.54.2853
|
UT-Komaba 96-6
|
hep-th
| null |
We derive a bosonic Hamiltonian from two dimensional QCD on the light-front.
To obtain the bosonic theory we find that it is useful to apply the boson
expansion method which is the standard technique in quantum many-body physics.
We introduce bilocal boson operators to represent the gauge-invariant quark
bilinears and then local boson operators as the collective states of the
bilocal bosons. If we adopt the Holstein-Primakoff type among various
representations, we obtain a theory of infinitely many interacting bosons,
whose masses are the eigenvalues of the 't Hooft equation. In the large $N$
limit, since the interaction disappears and the bosons are identified with
mesons, we obtain a free Hamiltonian with infinite kinds of mesons.
|
[
{
"created": "Sat, 6 Apr 1996 16:54:40 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Aug 1996 13:01:21 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Itakura",
"Kazunori",
"",
"Univ. of Tokyo, Komaba"
]
] |
We derive a bosonic Hamiltonian from two dimensional QCD on the light-front. To obtain the bosonic theory we find that it is useful to apply the boson expansion method which is the standard technique in quantum many-body physics. We introduce bilocal boson operators to represent the gauge-invariant quark bilinears and then local boson operators as the collective states of the bilocal bosons. If we adopt the Holstein-Primakoff type among various representations, we obtain a theory of infinitely many interacting bosons, whose masses are the eigenvalues of the 't Hooft equation. In the large $N$ limit, since the interaction disappears and the bosons are identified with mesons, we obtain a free Hamiltonian with infinite kinds of mesons.
|
hep-th/0001140
|
Arthur Lue
|
Arthur Lue and Erick J. Weinberg (Columbia)
|
Gravitational Properties of Monopole Spacetimes Near the Black Hole
Threshold
|
23 pages, 4 figures RevTeX
|
Phys.Rev. D61 (2000) 124003
|
10.1103/PhysRevD.61.124003
|
CU-TP-964
|
hep-th astro-ph gr-qc hep-ph
| null |
Although nonsingular spacetimes and those containing black holes are
qualitatively quite different, there are continuous families of configurations
that connect the two. In this paper we use self-gravitating monopole solutions
as tools for investigating the transition between these two types of
spacetimes. We show how causally distinct regions emerge as the black hole
limit is achieved, even though the measurements made by an external observer
vary continuously. We find that near-critical solutions have a naturally
defined entropy, despite the absence of a true horizon, and that this has a
clear connection with the Hawking-Bekenstein entropy. We find that certain
classes of near-critical solutions display naked black hole behavior, although
they are not truly black holes at all. Finally, we present a numerical
simulation illustrating how an incident pulse of matter can induce the
dynamical collapse of a monopole into an extremal black hole. We discuss the
implications of this process for the third law of black hole thermodynamics.
|
[
{
"created": "Fri, 21 Jan 2000 15:03:01 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Lue",
"Arthur",
"",
"Columbia"
],
[
"Weinberg",
"Erick J.",
"",
"Columbia"
]
] |
Although nonsingular spacetimes and those containing black holes are qualitatively quite different, there are continuous families of configurations that connect the two. In this paper we use self-gravitating monopole solutions as tools for investigating the transition between these two types of spacetimes. We show how causally distinct regions emerge as the black hole limit is achieved, even though the measurements made by an external observer vary continuously. We find that near-critical solutions have a naturally defined entropy, despite the absence of a true horizon, and that this has a clear connection with the Hawking-Bekenstein entropy. We find that certain classes of near-critical solutions display naked black hole behavior, although they are not truly black holes at all. Finally, we present a numerical simulation illustrating how an incident pulse of matter can induce the dynamical collapse of a monopole into an extremal black hole. We discuss the implications of this process for the third law of black hole thermodynamics.
|
0705.3811
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
Confinement in N=1 SQCD: One Step Beyond Seiberg's Duality
|
30 pages, 3 figures; v2 a reference added, minor comments added;
final version to be published in PRD
|
Phys.Rev.D76:045005,2007
|
10.1103/PhysRevD.76.045005
|
FTPI-MINN-07/18, UMN-TH-2605/07, ITEP-TH-20/07
|
hep-th hep-ph
| null |
We consider N=1 supersymmetric quantum chromodynamics (SQCD) with the gauge
group U(N_c) and N_c+N quark flavors. N_c flavors are massless; the
corresponding squark fields develop (small) vacuum expectation values (VEVs) on
the Higgs branch. Extra N flavors are endowed with small (and equal) mass
terms. We study this theory through its Seiberg's dual: U(N) gauge theory with
N_c +N flavors of "dual quark" fields plus a gauge-singlet mesonic field M. The
original theory is referred to as "quark theory" while the dual one is termed
"monopole theory." The suggested mild deformation of Seiberg's procedure
changes the dynamical regime of the monopole theory from infrared free to
asymptotically free at large distances. We show that, upon condensation of the
"dual quarks," the dual theory supports non-Abelian flux tubes (strings).
Seiberg's duality is extended beyond purely massless states to include light
states on both sides. Being interpreted in terms of the quark theory, the
monopole-theory flux tubes are supposed to carry chromoelectric fields. The
string junctions -- confined monopole-theory monopoles -- can be viewed as
"constituent quarks" of the original quark theory. We interpret closed strings
as glueballs of the original quark theory. Moreover, there are string
configurations formed by two junctions connected by a pair of different
non-Abelian strings. These can be considered as constituent quark mesons of the
quark theory.
|
[
{
"created": "Fri, 25 May 2007 17:08:20 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2007 16:28:02 GMT",
"version": "v2"
}
] |
2010-05-27
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We consider N=1 supersymmetric quantum chromodynamics (SQCD) with the gauge group U(N_c) and N_c+N quark flavors. N_c flavors are massless; the corresponding squark fields develop (small) vacuum expectation values (VEVs) on the Higgs branch. Extra N flavors are endowed with small (and equal) mass terms. We study this theory through its Seiberg's dual: U(N) gauge theory with N_c +N flavors of "dual quark" fields plus a gauge-singlet mesonic field M. The original theory is referred to as "quark theory" while the dual one is termed "monopole theory." The suggested mild deformation of Seiberg's procedure changes the dynamical regime of the monopole theory from infrared free to asymptotically free at large distances. We show that, upon condensation of the "dual quarks," the dual theory supports non-Abelian flux tubes (strings). Seiberg's duality is extended beyond purely massless states to include light states on both sides. Being interpreted in terms of the quark theory, the monopole-theory flux tubes are supposed to carry chromoelectric fields. The string junctions -- confined monopole-theory monopoles -- can be viewed as "constituent quarks" of the original quark theory. We interpret closed strings as glueballs of the original quark theory. Moreover, there are string configurations formed by two junctions connected by a pair of different non-Abelian strings. These can be considered as constituent quark mesons of the quark theory.
|
2301.12750
|
Yermek Aldabergenov
|
Yermek Aldabergenov and Sergei V. Ketov
|
Primordial black holes from Volkov-Akulov-Starobinsky supergravity
|
V.1: pdflatex, 19 pages, 8 figures, 4 tables; V.2: 20 pages, new
references added; V.3: new references added
|
Fortschr. Phys. 2023, 2300039
|
10.1002/prop.202300039
|
IPMU22-0066
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the formation of primordial black holes (PBH) in the Starobinsky
supergravity coupled to the nilpotent superfield describing Volkov-Akulov
goldstino. By using the no-scale K\"ahler potential and a polynomial
superpotential, we find that under certain conditions our model can describe
effectively single-field inflation with the ultra-slow-roll phase that appears
near a critical (nearly-inflection) point of the scalar potential. This can
lead to the formation of PBH as part of (or whole) dark matter, while keeping
the inflationary spectral tilt and the tensor-to-scalar ratio in good agreement
with the current cosmic microwave background (CMB) bounds. After inflation,
supersymmetry is spontaneously broken at the inflationary scale with the
vanishing cosmological constant.
|
[
{
"created": "Mon, 30 Jan 2023 09:50:12 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 09:02:19 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2023 06:29:36 GMT",
"version": "v3"
}
] |
2023-04-10
|
[
[
"Aldabergenov",
"Yermek",
""
],
[
"Ketov",
"Sergei V.",
""
]
] |
We study the formation of primordial black holes (PBH) in the Starobinsky supergravity coupled to the nilpotent superfield describing Volkov-Akulov goldstino. By using the no-scale K\"ahler potential and a polynomial superpotential, we find that under certain conditions our model can describe effectively single-field inflation with the ultra-slow-roll phase that appears near a critical (nearly-inflection) point of the scalar potential. This can lead to the formation of PBH as part of (or whole) dark matter, while keeping the inflationary spectral tilt and the tensor-to-scalar ratio in good agreement with the current cosmic microwave background (CMB) bounds. After inflation, supersymmetry is spontaneously broken at the inflationary scale with the vanishing cosmological constant.
|
1205.3722
|
Adolfo G. Grushin
|
Adolfo G. Grushin
|
Consequences of a condensed matter realization of Lorentz violating QED
in Weyl semi-metals
|
8 pages, 1 figure, minor typos corrected, published version
|
Phys. Rev. D 86, 045001 (2012)
|
10.1103/PhysRevD.86.045001
| null |
hep-th cond-mat.mtrl-sci
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In Lorentz violating quantum electrodynamics (QED) it is known that a
radiatively induced Chern-Simons term appears in the effective action for the
gauge field, which is finite but undetermined. This ambiguity is shown to be
absent in a condensed matter realization of such a theory in Weyl semi-metals
due to the existence of a full microscopic model from which this effective
theory emerges. Physically observable consequences such as birefringence are
also discussed in this scenario.
|
[
{
"created": "Wed, 16 May 2012 16:18:45 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Aug 2012 01:05:25 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Aug 2012 15:28:16 GMT",
"version": "v3"
}
] |
2012-08-22
|
[
[
"Grushin",
"Adolfo G.",
""
]
] |
In Lorentz violating quantum electrodynamics (QED) it is known that a radiatively induced Chern-Simons term appears in the effective action for the gauge field, which is finite but undetermined. This ambiguity is shown to be absent in a condensed matter realization of such a theory in Weyl semi-metals due to the existence of a full microscopic model from which this effective theory emerges. Physically observable consequences such as birefringence are also discussed in this scenario.
|
1406.5174
|
Sakura Schafer-Nameki
|
Moritz Kuntzler, Sakura Schafer-Nameki
|
Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group
|
80 pages, 22 figures
| null | null |
KCL-MTH-14-10
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
U(1) symmetries play a central role in constructing phenomenologically viable
F-theory compactifications that realize Grand Unified Theories (GUTs). In
F-theory, gauge symmetries with abelian gauge factors are modeled by singular
elliptic fibrations with additional rational sections, i.e. a non-trivial
Mordell-Weil rank. To determine the full scope of possible low energy theories
with abelian gauge factors, which allow for an F-theory realization, it is
central to obtain a comprehensive list of all singular elliptic fibrations with
extra sections. We answer this question for the case of one abelian factor by
applying Tate's algorithm to the elliptic fiber realized as a quartic in the
weighted projective space P^{(1,1,2)}, which guarantees, in addition to the
zero section, the existence of an additional rational section. The algorithm
gives rise to a tree-like enhancement structure, where each fiber is
characterized by a Kodaira fiber type, that governs the non-abelian gauge
factor, and the separation of the two sections. We determine Tate-like forms
for elliptic fibrations with one extra section for all Kodaira fiber types. In
addition to standard Tate forms that are determined by the vanishing order of
the coefficient sections in the quartic (so-called canonical models),the
algorithm also gives rise to fibrations that require non-trivial relations
among the coefficient sections. Such non-canonical models have
phenomenologically interesting properties, as they allow for a richer charged
matter content, and thus codimension two fiber structure, than the canonical
models that have been considered thus far in the literature. As an application
we determine the complete set of codimension one fibers types, matter spectra,
both canonical and non-canonical, for SU(5) x U(1) models.
|
[
{
"created": "Thu, 19 Jun 2014 19:59:15 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2014 22:21:54 GMT",
"version": "v2"
}
] |
2015-01-05
|
[
[
"Kuntzler",
"Moritz",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] |
U(1) symmetries play a central role in constructing phenomenologically viable F-theory compactifications that realize Grand Unified Theories (GUTs). In F-theory, gauge symmetries with abelian gauge factors are modeled by singular elliptic fibrations with additional rational sections, i.e. a non-trivial Mordell-Weil rank. To determine the full scope of possible low energy theories with abelian gauge factors, which allow for an F-theory realization, it is central to obtain a comprehensive list of all singular elliptic fibrations with extra sections. We answer this question for the case of one abelian factor by applying Tate's algorithm to the elliptic fiber realized as a quartic in the weighted projective space P^{(1,1,2)}, which guarantees, in addition to the zero section, the existence of an additional rational section. The algorithm gives rise to a tree-like enhancement structure, where each fiber is characterized by a Kodaira fiber type, that governs the non-abelian gauge factor, and the separation of the two sections. We determine Tate-like forms for elliptic fibrations with one extra section for all Kodaira fiber types. In addition to standard Tate forms that are determined by the vanishing order of the coefficient sections in the quartic (so-called canonical models),the algorithm also gives rise to fibrations that require non-trivial relations among the coefficient sections. Such non-canonical models have phenomenologically interesting properties, as they allow for a richer charged matter content, and thus codimension two fiber structure, than the canonical models that have been considered thus far in the literature. As an application we determine the complete set of codimension one fibers types, matter spectra, both canonical and non-canonical, for SU(5) x U(1) models.
|
0905.3772
|
Razvan-Gheorghe Gurau
|
Laurent Freidel, Razvan Gurau, Daniele Oriti
|
Group field theory renormalization - the 3d case: power counting of
divergences
| null |
Phys.Rev.D80:044007,2009
|
10.1103/PhysRevD.80.044007
|
AEI-2009-031 PI-qg-135
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We take the first steps in a systematic study of Group Field Theory
renormalization, focusing on the Boulatov model for 3D quantum gravity. We
define an algorithm for constructing the 2D triangulations that characterize
the boundary of the 3D bubbles, where divergences are located, of an arbitrary
3D GFT Feynman diagram. We then identify a special class of graphs for which a
complete contraction procedure is possible, and prove, for these, a complete
power counting. These results represent important progress towards
understanding the origin of the continuum and manifold-like appearance of
quantum spacetime at low energies, and of its topology, in a GFT framework.
|
[
{
"created": "Fri, 22 May 2009 22:16:38 GMT",
"version": "v1"
}
] |
2009-09-02
|
[
[
"Freidel",
"Laurent",
""
],
[
"Gurau",
"Razvan",
""
],
[
"Oriti",
"Daniele",
""
]
] |
We take the first steps in a systematic study of Group Field Theory renormalization, focusing on the Boulatov model for 3D quantum gravity. We define an algorithm for constructing the 2D triangulations that characterize the boundary of the 3D bubbles, where divergences are located, of an arbitrary 3D GFT Feynman diagram. We then identify a special class of graphs for which a complete contraction procedure is possible, and prove, for these, a complete power counting. These results represent important progress towards understanding the origin of the continuum and manifold-like appearance of quantum spacetime at low energies, and of its topology, in a GFT framework.
|
1807.06321
|
Emery Sokatchev
|
Dmitry Chicherin, Johannes M. Henn, Emery Sokatchev
|
Implications of nonplanar dual conformal symmetry
|
27 pages, 5 figures; typos corrected
| null |
10.1007/JHEP09(2018)012
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, Bern et al observed that a certain class of next-to-planar Feynman
integrals possess a bonus symmetry that is closely related to dual conformal
symmetry. It corresponds to a projection of the latter along a certain
lightlike direction. Previous studies were performed at the level of the loop
integrand, and a Ward identity for the integral was formulated. We investigate
the implications of the symmetry at the level of the integrated quantities. In
particular, we focus on the phenomenologically important case of five-particle
scattering. The symmetry simplifies the four-variable problem to a
three-variable one. In the context of the recently proposed space of pentagon
functions, the symmetry is much stronger. We find that it drastically reduces
the allowed function space, leading to a well-known space of three-variable
functions. Furthermore, we show how to use the symmetry in the presence of
infrared divergences, where one obtains an anomalous Ward identity. We verify
that the Ward identity is satisfied by the leading and subleading poles of
several nontrivial five-particle integrals. Finally, we present examples of
integrals that possess both ordinary and dual conformal symmetry.
|
[
{
"created": "Tue, 17 Jul 2018 10:28:47 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jul 2018 08:13:31 GMT",
"version": "v2"
}
] |
2018-09-26
|
[
[
"Chicherin",
"Dmitry",
""
],
[
"Henn",
"Johannes M.",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
Recently, Bern et al observed that a certain class of next-to-planar Feynman integrals possess a bonus symmetry that is closely related to dual conformal symmetry. It corresponds to a projection of the latter along a certain lightlike direction. Previous studies were performed at the level of the loop integrand, and a Ward identity for the integral was formulated. We investigate the implications of the symmetry at the level of the integrated quantities. In particular, we focus on the phenomenologically important case of five-particle scattering. The symmetry simplifies the four-variable problem to a three-variable one. In the context of the recently proposed space of pentagon functions, the symmetry is much stronger. We find that it drastically reduces the allowed function space, leading to a well-known space of three-variable functions. Furthermore, we show how to use the symmetry in the presence of infrared divergences, where one obtains an anomalous Ward identity. We verify that the Ward identity is satisfied by the leading and subleading poles of several nontrivial five-particle integrals. Finally, we present examples of integrals that possess both ordinary and dual conformal symmetry.
|
1903.02888
|
Christian Saemann
|
Christian Saemann
|
Higher Structures, Self-Dual Strings and 6d Superconformal Field
Theories
|
16 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018
| null | null |
EMPG-19-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I summarize and discuss some recent results on formulating actions of
six-dimensional superconformal field theories using the language of higher
gauge theory. The latter guarantees mathematical consistency of our
constructions and we review crucial aspects of this framework, such as
$L_\infty$-algebras and corresponding kinematical data given by higher
connections. We then show that there is a mathematically consistent non-Abelian
extension of the self-dual string equation which satisfies many physical
expectations. Our construction favors a particular higher gauge group leading
us to higher principal bundles known as string structures. Using these, we
manage to formulate a six-dimensional action which shares many properties with
the famous $(2,0)$-theory but also still differs from it in some key points.
|
[
{
"created": "Thu, 7 Mar 2019 12:56:04 GMT",
"version": "v1"
}
] |
2019-03-08
|
[
[
"Saemann",
"Christian",
""
]
] |
I summarize and discuss some recent results on formulating actions of six-dimensional superconformal field theories using the language of higher gauge theory. The latter guarantees mathematical consistency of our constructions and we review crucial aspects of this framework, such as $L_\infty$-algebras and corresponding kinematical data given by higher connections. We then show that there is a mathematically consistent non-Abelian extension of the self-dual string equation which satisfies many physical expectations. Our construction favors a particular higher gauge group leading us to higher principal bundles known as string structures. Using these, we manage to formulate a six-dimensional action which shares many properties with the famous $(2,0)$-theory but also still differs from it in some key points.
|
hep-th/9509019
|
Varghese John
|
A.P.Balachandran, L.Chandar and B.Sathiapalan
|
Chern-Simons Duality and the Quantum Hall Effect
|
Latex, 31 pages
|
Int.J.Mod.Phys. A11 (1996) 3587-3608
|
10.1142/S0217751X96001693
| null |
hep-th cond-mat gr-qc
| null |
In previous work on the quantum Hall effect on an annulus, we used
$O(d,d;{\bf Z})$ duality transformations on the action describing edge
excitations to generate the Haldane hierarchy of Hall conductivities. Here we
generate the corresponding hierarchy of ``bulk actions'' which are associated
with Chern-Simons (CS) theories, the connection between the bulk and edge
arising from the requirement of anomaly cancellation. We also find a duality
transformation for the CS theory exactly analogous to the $R\rightarrow
\frac{1}{R}$ duality of the scalar field theory at the edge.
|
[
{
"created": "Tue, 5 Sep 1995 20:44:28 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Balachandran",
"A. P.",
""
],
[
"Chandar",
"L.",
""
],
[
"Sathiapalan",
"B.",
""
]
] |
In previous work on the quantum Hall effect on an annulus, we used $O(d,d;{\bf Z})$ duality transformations on the action describing edge excitations to generate the Haldane hierarchy of Hall conductivities. Here we generate the corresponding hierarchy of ``bulk actions'' which are associated with Chern-Simons (CS) theories, the connection between the bulk and edge arising from the requirement of anomaly cancellation. We also find a duality transformation for the CS theory exactly analogous to the $R\rightarrow \frac{1}{R}$ duality of the scalar field theory at the edge.
|
hep-th/0205043
|
Miao Li
|
Miao Li (ITP&NTU)
|
Correspondence Principle in a PP-wave Background
|
v2: typos corrected
|
Nucl.Phys. B638 (2002) 155-164
|
10.1016/S0550-3213(02)00480-7
| null |
hep-th
| null |
We discuss the correspondence point between a string state and a black hole,
in a pp-wave background, and find that the answer is considerably different
from that in a flat spacetime background.
|
[
{
"created": "Mon, 6 May 2002 09:45:11 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2002 15:34:40 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Li",
"Miao",
"",
"ITP&NTU"
]
] |
We discuss the correspondence point between a string state and a black hole, in a pp-wave background, and find that the answer is considerably different from that in a flat spacetime background.
|
0808.2939
|
Kai Schwenzer
|
Reinhard Alkofer, Markus Q. Huber and Kai Schwenzer
|
Algorithmic derivation of Dyson-Schwinger Equations
|
17 pages, 11 figures, downloadable Mathematica package v2: adapted to
version 1.2 of DoDSE package with simplified handling and improved plotting
of graphs; references added
|
Comput.Phys.Commun.180:965-976,2009
|
10.1016/j.cpc.2008.12.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an algorithm for the derivation of Dyson-Schwinger equations of
general theories that is suitable for an implementation within a symbolic
programming language. Moreover, we introduce the Mathematica package DoDSE
which provides such an implementation. It derives the Dyson-Schwinger equations
graphically once the interactions of the theory are specified. A few examples
for the application of both the algorithm and the DoDSE package are provided.
The package can be obtained from physik.uni-graz.at/~mah/DoDSE.html.
|
[
{
"created": "Thu, 21 Aug 2008 15:09:04 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2008 12:03:04 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"Alkofer",
"Reinhard",
""
],
[
"Huber",
"Markus Q.",
""
],
[
"Schwenzer",
"Kai",
""
]
] |
We present an algorithm for the derivation of Dyson-Schwinger equations of general theories that is suitable for an implementation within a symbolic programming language. Moreover, we introduce the Mathematica package DoDSE which provides such an implementation. It derives the Dyson-Schwinger equations graphically once the interactions of the theory are specified. A few examples for the application of both the algorithm and the DoDSE package are provided. The package can be obtained from physik.uni-graz.at/~mah/DoDSE.html.
|
1409.5442
|
Michele Del Zotto
|
Michele Del Zotto and Ashoke Sen
|
About the Absence of Exotics and the Coulomb Branch Formula
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The absence of exotics is a conjectural property of the spectrum of BPS
states of four--dimensional $\mathcal{N}=2$ supersymmetric QFT's. In this
letter we revisit the precise statement of this conjecture, and develop a
general strategy that, if applicable, entails the absence of exotic BPS states.
Our method is based on the Coulomb branch formula and on quiver mutations. In
particular, we obtain the absence of exotic BPS states for all pure SYM
theories with simple simply--laced gauge group $G$, and, as a corollary, of
infinitely many other lagrangian $\mathcal{N}=2$ theories.
|
[
{
"created": "Thu, 18 Sep 2014 20:00:39 GMT",
"version": "v1"
}
] |
2014-09-22
|
[
[
"Del Zotto",
"Michele",
""
],
[
"Sen",
"Ashoke",
""
]
] |
The absence of exotics is a conjectural property of the spectrum of BPS states of four--dimensional $\mathcal{N}=2$ supersymmetric QFT's. In this letter we revisit the precise statement of this conjecture, and develop a general strategy that, if applicable, entails the absence of exotic BPS states. Our method is based on the Coulomb branch formula and on quiver mutations. In particular, we obtain the absence of exotic BPS states for all pure SYM theories with simple simply--laced gauge group $G$, and, as a corollary, of infinitely many other lagrangian $\mathcal{N}=2$ theories.
|
1403.1894
|
Grigory Sizov Alekseevich
|
Nikolay Gromov, Grigory Sizov
|
Exact Slope and Interpolating Functions in ABJM Theory
|
5 pages, 1 figure; v3: references added, typos fixed
|
Phys. Rev. Lett. 113, 121601 (2014)
|
10.1103/PhysRevLett.113.121601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Quantum Spectral Curve approach we compute exactly an observable
(called slope function) in the planar ABJM theory in terms of an unknown
interpolating function h(\lambda) which plays the role of the coupling in any
integrability based calculation in this theory. We verified our results with
known weak coupling expansion in the gauge theory and with the results of
semi-classical string calculations. Quite surprisingly at strong coupling the
result is given by an explicit rational function of h(\lambda) to all orders.
By comparing the structure of our result with that of an exact
localization-based calculation for a similar observable in JHEP 1006 (2010) 011
we conjecture an exact expression for h(\lambda).
|
[
{
"created": "Fri, 7 Mar 2014 22:59:13 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Mar 2014 20:12:10 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jun 2014 02:53:47 GMT",
"version": "v3"
}
] |
2014-09-24
|
[
[
"Gromov",
"Nikolay",
""
],
[
"Sizov",
"Grigory",
""
]
] |
Using the Quantum Spectral Curve approach we compute exactly an observable (called slope function) in the planar ABJM theory in terms of an unknown interpolating function h(\lambda) which plays the role of the coupling in any integrability based calculation in this theory. We verified our results with known weak coupling expansion in the gauge theory and with the results of semi-classical string calculations. Quite surprisingly at strong coupling the result is given by an explicit rational function of h(\lambda) to all orders. By comparing the structure of our result with that of an exact localization-based calculation for a similar observable in JHEP 1006 (2010) 011 we conjecture an exact expression for h(\lambda).
|
2005.13952
|
Emil Akhmedov
|
E.T.Akhmedov, K.V.Bazarov, D.V.Diakonov, U.Moschella
|
Quantum fields in the static de Sitter universe
|
20 pages, 2 figures, 1 appendix
|
Phys. Rev. D 102, 085003 (2020)
|
10.1103/PhysRevD.102.085003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct explicit mode expansions of various tree-level propagators in
the Rindler -- de Sitter universe, also known as the static (or compact) patch
of the de Sitter spacetime. We construct in particular the Wightman functions
for thermal states having a generic temperature $T$. We give a fresh simple
proof that the only thermal Wightman propagator that respects the de Sitter
isometry is the restriction to the Rindler -- de Sitter wedge of the propagator
for the Bunch--Davies state. It is the thermal state with $T = (2 \pi)^{-1}$ in
the units of de Sitter curvature. We show that propagators with
$T\ne(2\pi)^{-1}$ are only time translation invariant and have extra
singularities on the boundary of the static patch. We also construct the
expansions for the so-called alpha-vacua in the static patch and discuss the
flat limit.
|
[
{
"created": "Tue, 26 May 2020 08:02:53 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2020 07:00:27 GMT",
"version": "v2"
}
] |
2020-10-14
|
[
[
"Akhmedov",
"E. T.",
""
],
[
"Bazarov",
"K. V.",
""
],
[
"Diakonov",
"D. V.",
""
],
[
"Moschella",
"U.",
""
]
] |
We construct explicit mode expansions of various tree-level propagators in the Rindler -- de Sitter universe, also known as the static (or compact) patch of the de Sitter spacetime. We construct in particular the Wightman functions for thermal states having a generic temperature $T$. We give a fresh simple proof that the only thermal Wightman propagator that respects the de Sitter isometry is the restriction to the Rindler -- de Sitter wedge of the propagator for the Bunch--Davies state. It is the thermal state with $T = (2 \pi)^{-1}$ in the units of de Sitter curvature. We show that propagators with $T\ne(2\pi)^{-1}$ are only time translation invariant and have extra singularities on the boundary of the static patch. We also construct the expansions for the so-called alpha-vacua in the static patch and discuss the flat limit.
|
hep-th/9304114
|
Edwin Langmann
|
Edwin Langmann
|
Fermion Current Algebras and Schwinger Terms in 3+1 Dimensions
|
42 pages, UBC 91-32 (revised version, original Jan. 92)
|
Commun.Math.Phys.162:1-32,1994
|
10.1007/BF02105184
| null |
hep-th
| null |
We discuss the restricted linear group in infinite dimensions modeled by the
Schatten class of rank $2p=4$ which contains $(3+1)$-dimensional analog of the
loop groups and is closely related to Yang-Mills theory with fermions in
$(3+1)$-dimensions. We give an alternative to the construction of the ``highest
weight'' representation of this group found by Mickelsson and Rajeev. Our
approach is close to quantum field theory, with the elements of this group
regarded as Bogoliubov transformations for fermions in an external Yang-Mills
field. Though these cannot be unitarily implemented in the physically relevant
representation of the fermion field algebra, we argue that they can be
implemented by sesquilinear forms, and that there is a (regularized) product of
forms providing an appropriate group structure. On the Lie algebra level, this
gives an explicit, non-perturbative construction of fermion current algebras in
$(3+1)$ space-time dimensions which explicitly shows that the ``wave function
renormalization'' required for a consistent definition of the currents and
their Lie bracket naturally leads to the Schwinger term identical with the
Mickelsson-Rajeev cocycle. Though the explicit form of the Schwinger term is
given only for the case $p=2$, our arguments apply also to the restricted
linear groups modeled by Schatten classes of rank $2p=6,8,\ldots$ corresponding
to current algebras in $(d+1)$- dimensions, $d=5,7,\ldots$.
|
[
{
"created": "Sat, 24 Apr 1993 00:18:00 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Apr 1993 00:25:00 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Langmann",
"Edwin",
""
]
] |
We discuss the restricted linear group in infinite dimensions modeled by the Schatten class of rank $2p=4$ which contains $(3+1)$-dimensional analog of the loop groups and is closely related to Yang-Mills theory with fermions in $(3+1)$-dimensions. We give an alternative to the construction of the ``highest weight'' representation of this group found by Mickelsson and Rajeev. Our approach is close to quantum field theory, with the elements of this group regarded as Bogoliubov transformations for fermions in an external Yang-Mills field. Though these cannot be unitarily implemented in the physically relevant representation of the fermion field algebra, we argue that they can be implemented by sesquilinear forms, and that there is a (regularized) product of forms providing an appropriate group structure. On the Lie algebra level, this gives an explicit, non-perturbative construction of fermion current algebras in $(3+1)$ space-time dimensions which explicitly shows that the ``wave function renormalization'' required for a consistent definition of the currents and their Lie bracket naturally leads to the Schwinger term identical with the Mickelsson-Rajeev cocycle. Though the explicit form of the Schwinger term is given only for the case $p=2$, our arguments apply also to the restricted linear groups modeled by Schatten classes of rank $2p=6,8,\ldots$ corresponding to current algebras in $(d+1)$- dimensions, $d=5,7,\ldots$.
|
2112.12156
|
Samuel Leutheusser
|
Samuel Leutheusser and Hong Liu
|
Emergent times in holographic duality
|
122 pages, 17 figures. Minor clarifications
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
In holographic duality an eternal AdS black hole is described by two copies
of the boundary CFT in the thermal field double state. In this paper we provide
explicit constructions in the boundary theory of infalling time evolutions
which can take bulk observers behind the horizon. The constructions also help
to illuminate the boundary emergence of the black hole horizons, the interiors,
and the associated causal structure. A key element is the emergence, in the
large $N$ limit of the boundary theory, of a type III$_1$ von Neumann algebraic
structure from the type I boundary operator algebra and the half-sided modular
translation structure associated with it.
|
[
{
"created": "Wed, 22 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Apr 2022 15:53:40 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Mar 2023 14:40:06 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Nov 2023 22:51:44 GMT",
"version": "v4"
}
] |
2023-11-13
|
[
[
"Leutheusser",
"Samuel",
""
],
[
"Liu",
"Hong",
""
]
] |
In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. In this paper we provide explicit constructions in the boundary theory of infalling time evolutions which can take bulk observers behind the horizon. The constructions also help to illuminate the boundary emergence of the black hole horizons, the interiors, and the associated causal structure. A key element is the emergence, in the large $N$ limit of the boundary theory, of a type III$_1$ von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it.
|
1302.5907
|
Maciej Trzetrzelewski
|
Maciej Trzetrzelewski
|
Dirac equation for strings
|
12 pages, v3 published
|
EPL (Europhysics Letters), Volume 116, Number 4, 2016
|
10.1209/0295-5075/116/40001
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting with a Nambu-Goto action, a Dirac-like equation can be constructed
by taking the square-root of the momentum constraint. The eigenvalues of the
resulting Hamiltonian are real and correspond to masses of the excited string.
In particular there are no tachyons. A special case of radial oscillations of a
closed string in Minkowski space-time admits exact solutions in terms of wave
functions of the harmonic oscillator.
|
[
{
"created": "Sun, 24 Feb 2013 13:58:46 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Nov 2014 21:51:57 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Feb 2018 21:25:40 GMT",
"version": "v3"
}
] |
2018-02-16
|
[
[
"Trzetrzelewski",
"Maciej",
""
]
] |
Starting with a Nambu-Goto action, a Dirac-like equation can be constructed by taking the square-root of the momentum constraint. The eigenvalues of the resulting Hamiltonian are real and correspond to masses of the excited string. In particular there are no tachyons. A special case of radial oscillations of a closed string in Minkowski space-time admits exact solutions in terms of wave functions of the harmonic oscillator.
|
1910.03602
|
N. E. J. Bjerrum-Bohr
|
Johannes Agerskov, N. E. J. Bjerrum-Bohr, Humberto Gomez and Cristhiam
Lopez-Arcos
|
One-Loop Yang-Mills Integrands from Scattering Equations
|
20 pages, 6 figures, typos corrected, added clarifications and
comments. Version to be published in PRD
|
Phys. Rev. D 102, 045023 (2020)
|
10.1103/PhysRevD.102.045023
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate in the context of the scattering equations, how one-loop
linear propagator integrands in gauge theories can be linked to integrands with
quadratic propagators using a double forward limit. We illustrate our procedure
through examples and demonstrate how the different parts of the derived
quadratic integrand are consistent with cut-integrands derived from
four-dimensional generalized unitarity. We also comment on applications and
discuss possible further generalizations.
|
[
{
"created": "Tue, 8 Oct 2019 18:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 2020 16:31:49 GMT",
"version": "v2"
}
] |
2020-09-09
|
[
[
"Agerskov",
"Johannes",
""
],
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Gomez",
"Humberto",
""
],
[
"Lopez-Arcos",
"Cristhiam",
""
]
] |
We investigate in the context of the scattering equations, how one-loop linear propagator integrands in gauge theories can be linked to integrands with quadratic propagators using a double forward limit. We illustrate our procedure through examples and demonstrate how the different parts of the derived quadratic integrand are consistent with cut-integrands derived from four-dimensional generalized unitarity. We also comment on applications and discuss possible further generalizations.
|
2211.04410
|
Mitch Weaver
|
Philip C. Argyres, Matteo Lotito, Mitch Weaver
|
Vertex algebra of extended operators in 4d N=2 superconformal field
theories
|
V3: 46 pages, 2 figures; minor corrections, fixed typeset errors,
added references, added comments on computing descent operator OPEs in
generic SCFTs at the end of section 4; matches version to be published in
JHEP
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct a class of extended operators in the cohomology of a pair of
twisted Schur supercharges of 4d N=2 SCFTs. The extended operators are
constructed from the local operators in this cohomology -- the Schur operators
-- by a version of topological descent. They are line, surface, and domain wall
world volume integrals of certain super descendants of Schur operators. Their
world volumes extend in directions transverse to a spatial plane in Minkowski
space-time. As operators in the cohomology of these twisted Schur supercharges,
their correlators are (locally) meromorphic functions only of the positions
where they intersect this plane. This implies the extended operators enlarge
the vertex operator algebra of the Schur operators. We illustrate this enlarged
vertex algebra by computing some extended-operator product expansions within a
subalgebra of it for the free hypermultiplet SCFT.
|
[
{
"created": "Tue, 8 Nov 2022 17:56:26 GMT",
"version": "v1"
},
{
"created": "Wed, 31 May 2023 17:53:36 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Oct 2023 18:13:42 GMT",
"version": "v3"
}
] |
2023-10-16
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Lotito",
"Matteo",
""
],
[
"Weaver",
"Mitch",
""
]
] |
We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d N=2 SCFTs. The extended operators are constructed from the local operators in this cohomology -- the Schur operators -- by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT.
|
2211.07671
|
Parul Jain
|
Parul Jain, Niko Jokela, Matti Jarvinen, Subhash Mahapatra
|
Bounding entanglement wedge cross sections
|
35 pages, 19 figures, matches published version, references and
discussion added
|
JHEP03(2023)102
|
10.1007/JHEP03(2023)102
|
APCTP Pre2022 - 24 , HIP-2022-27/TH
|
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The entanglement wedge cross sections (EWCSs) are postulated as dual gravity
probes to certain measures for the entanglement of multiparty systems. We test
various proposed inequalities for EWCSs. As it turns out, contrary to
expectations, the EWCS is not clearly monogamous nor polygamous for tripartite
systems but the results depend on the details and dimensionality of the
geometry of the gravity solutions. We propose weaker monogamy relations for
dual entanglement measures, which lead to a new lower bound on EWCS. Our work
is based on a plethora of gravity backgrounds: pure anti de Sitter spaces, anti
de Sitter black branes, those induced by a stack of Dp-branes, and cigar
geometries in generic dimension.
|
[
{
"created": "Mon, 14 Nov 2022 19:00:11 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2023 07:52:15 GMT",
"version": "v2"
}
] |
2023-03-20
|
[
[
"Jain",
"Parul",
""
],
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Mahapatra",
"Subhash",
""
]
] |
The entanglement wedge cross sections (EWCSs) are postulated as dual gravity probes to certain measures for the entanglement of multiparty systems. We test various proposed inequalities for EWCSs. As it turns out, contrary to expectations, the EWCS is not clearly monogamous nor polygamous for tripartite systems but the results depend on the details and dimensionality of the geometry of the gravity solutions. We propose weaker monogamy relations for dual entanglement measures, which lead to a new lower bound on EWCS. Our work is based on a plethora of gravity backgrounds: pure anti de Sitter spaces, anti de Sitter black branes, those induced by a stack of Dp-branes, and cigar geometries in generic dimension.
|
2110.09458
|
Edoardo Vescovi
|
Omar Shahpo, Edoardo Vescovi
|
Correlation functions of determinant operators in conformal fishnet
theory
|
40 pages, 6 figures; added footnotes 2, 4, 11 and 16, expanded on
calculations in Section 3 and holography in Conclusion, minor comments; it
matches published version
|
JHEP 06 (2022) 070
|
10.1007/JHEP06(2022)070
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider scalar local operators of the determinant type in the conformal
``fishnet'' theory that arises as a limit of gamma-deformed $\mathcal{N}=4$
super Yang-Mills theory. We generalise a field-theory approach to expand their
correlation functions to arbitrary order in the small coupling constants and
apply it to the bi-scalar reduction of the model. We explicitly analyse the
two-point functions of determinants, as well as of certain deformations with
the insertion of scalar fields, and describe the Feynman-graph structure of
three- and four-point correlators with single-trace operators. These display
the topology of globe and spiral graphs, which are known to renormalise
single-trace operators, but with ``alternating'' boundary conditions. In the
appendix material we further investigate a four-point function of two
determinants and the shortest bi-local single trace. We resum the diagrams by
the Bethe-Salpeter method and comment on the exchanged OPE states.
|
[
{
"created": "Mon, 18 Oct 2021 16:51:10 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2022 19:43:34 GMT",
"version": "v2"
}
] |
2022-06-17
|
[
[
"Shahpo",
"Omar",
""
],
[
"Vescovi",
"Edoardo",
""
]
] |
We consider scalar local operators of the determinant type in the conformal ``fishnet'' theory that arises as a limit of gamma-deformed $\mathcal{N}=4$ super Yang-Mills theory. We generalise a field-theory approach to expand their correlation functions to arbitrary order in the small coupling constants and apply it to the bi-scalar reduction of the model. We explicitly analyse the two-point functions of determinants, as well as of certain deformations with the insertion of scalar fields, and describe the Feynman-graph structure of three- and four-point correlators with single-trace operators. These display the topology of globe and spiral graphs, which are known to renormalise single-trace operators, but with ``alternating'' boundary conditions. In the appendix material we further investigate a four-point function of two determinants and the shortest bi-local single trace. We resum the diagrams by the Bethe-Salpeter method and comment on the exchanged OPE states.
|
hep-th/0411221
|
Sushil Srivastava
|
S.K.Srivastava
|
Quantum driven Bounce of the future Universe
| null |
Gen.Rel.Grav.39:241-255,2007
|
10.1007/s10714-006-0350-x
| null |
hep-th astro-ph gr-qc
| null |
It is demonstrated that due to back-reaction of quantum effects, expansion of
the universe stops at its maximum and takes a turnaround. Later on, it
contracts to a very small size in finite future time. This phenomenon is
followed by a " bounce" with re-birth of an exponentially expanding
non-singular universe.
|
[
{
"created": "Wed, 24 Nov 2004 06:03:00 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2005 13:09:49 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Aug 2005 08:29:53 GMT",
"version": "v3"
},
{
"created": "Tue, 6 Jun 2006 12:27:35 GMT",
"version": "v4"
},
{
"created": "Thu, 14 Sep 2006 10:35:26 GMT",
"version": "v5"
},
{
"created": "Tue, 1 May 2007 07:51:21 GMT",
"version": "v6"
}
] |
2008-11-26
|
[
[
"Srivastava",
"S. K.",
""
]
] |
It is demonstrated that due to back-reaction of quantum effects, expansion of the universe stops at its maximum and takes a turnaround. Later on, it contracts to a very small size in finite future time. This phenomenon is followed by a " bounce" with re-birth of an exponentially expanding non-singular universe.
|
hep-th/0507252
|
Vasilis Niarchos
|
Shin Nakamura and Vasilis Niarchos
|
Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
|
harvmac, 22 pages; v2 typos corrected, version appearing in JHEP
|
JHEP 0510 (2005) 025
|
10.1088/1126-6708/2005/10/025
| null |
hep-th
| null |
We show that the equivalence between the c=1 non-critical bosonic string and
the N=2 topologically twisted coset SL(2)/U(1) at level one can be checked very
naturally on the level of tree-level scattering amplitudes with the use of the
Stoyanovsky-Ribault-Teschner map, which recasts $H_3^+$ correlation functions
in terms of Liouville field theory amplitudes. This observation can be applied
equally well to the topologically twisted SL(2)/U(1) coset at level n>1, which
has been argued recently to be equivalent with a c<1 non-critical bosonic
string whose matter part is defined by a time-like linear dilaton CFT.
|
[
{
"created": "Tue, 26 Jul 2005 16:26:35 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2006 12:23:48 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Nakamura",
"Shin",
""
],
[
"Niarchos",
"Vasilis",
""
]
] |
We show that the equivalence between the c=1 non-critical bosonic string and the N=2 topologically twisted coset SL(2)/U(1) at level one can be checked very naturally on the level of tree-level scattering amplitudes with the use of the Stoyanovsky-Ribault-Teschner map, which recasts $H_3^+$ correlation functions in terms of Liouville field theory amplitudes. This observation can be applied equally well to the topologically twisted SL(2)/U(1) coset at level n>1, which has been argued recently to be equivalent with a c<1 non-critical bosonic string whose matter part is defined by a time-like linear dilaton CFT.
|
hep-th/9803031
|
Edna Cheung Y.-K.
|
Yeuk-Kwan E. Cheung and Morten Krogh (Princeton University)
|
Noncommutative Geometry from D0-branes in a Background B-field
|
13pp, harvmac with five eps figures; final version in Nuclear Physics
B
|
Nucl.Phys. B528 (1998) 185-196
|
10.1016/S0550-3213(98)00380-0
|
PUPT-1771
|
hep-th
| null |
We study D0-branes in type IIA on $T^2$ with a background B-field turned on.
We calculate explicitly how the background B-field modifies the D0-brane
action. The effect of the B-field is to replace ordinary multiplication with a
noncommutative product. This enables us to find the matrix model for M-theory
on $T^2$ with a background 3-form potential along the torus and the lightlike
circle. This matrix model is exactly the non-local 2+1 dim SYM theory on a dual
$T^2$ proposed by Connes, Douglas and Schwarz. We calculate the radii and the
gauge coupling for the SYM on the dual $T^2$ for all choices of longitudinal
momentum and membrane wrapping number on the $T^2$.
|
[
{
"created": "Wed, 4 Mar 1998 04:21:26 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 1998 23:15:00 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Cheung",
"Yeuk-Kwan E.",
"",
"Princeton University"
],
[
"Krogh",
"Morten",
"",
"Princeton University"
]
] |
We study D0-branes in type IIA on $T^2$ with a background B-field turned on. We calculate explicitly how the background B-field modifies the D0-brane action. The effect of the B-field is to replace ordinary multiplication with a noncommutative product. This enables us to find the matrix model for M-theory on $T^2$ with a background 3-form potential along the torus and the lightlike circle. This matrix model is exactly the non-local 2+1 dim SYM theory on a dual $T^2$ proposed by Connes, Douglas and Schwarz. We calculate the radii and the gauge coupling for the SYM on the dual $T^2$ for all choices of longitudinal momentum and membrane wrapping number on the $T^2$.
|
hep-th/0410053
|
Antoine Van Proeyen
|
Antoine Van Proeyen
|
Supergravity with Fayet-Iliopoulos terms and R-symmetry
|
9 pages; contribution to the proceedings of the EC-RTN Workshop 'The
quantum structure of spacetime and the geometric nature of fundamental
interactions', Kolymbari, Crete, 5-10/9/2004, to be published in Fortschritte
der Physik
|
Fortsch.Phys. 53 (2005) 997-1004
|
10.1002/prop.200410248
|
KUL-TF-04/30
|
hep-th
| null |
The simplest examples of gauged supergravities are N=1 or N=2 theories with
Fayet-Iliopoulos (FI) terms. FI terms in supergravity imply that the R-symmetry
is gauged. Also the U(1) or SU(2) local symmetries of Kaehler and
quaternionic-Kaehler manifolds contribute to R-symmetry gauge fields. This
short review clarifies the relations.
|
[
{
"created": "Tue, 5 Oct 2004 20:10:26 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Van Proeyen",
"Antoine",
""
]
] |
The simplest examples of gauged supergravities are N=1 or N=2 theories with Fayet-Iliopoulos (FI) terms. FI terms in supergravity imply that the R-symmetry is gauged. Also the U(1) or SU(2) local symmetries of Kaehler and quaternionic-Kaehler manifolds contribute to R-symmetry gauge fields. This short review clarifies the relations.
|
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