id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0712.0672 | Adi Armoni | Adi Armoni, Mikhail Shifman, Mithat Unsal | Planar Limit of Orientifold Field Theories and Emergent Center Symmetry | 28 pages, 1 figure. v2: typos corrected, refs. added | Phys.Rev.D77:045012,2008 | 10.1103/PhysRevD.77.045012 | UMN-TH-2624/07, FTPI-MINN-07/33, SLAC-PUB-13032 | hep-th hep-lat hep-ph | null | We consider orientifold field theories (i.e. SU(N) Yang--Mills theories with
fermions in the two-index symmetric or antisymmetric representations) on R3xS1
where the compact dimension can be either temporal or spatial. These theories
are planar equivalent to supersymmetric Yang--Mills. The latter has Z_N center
symmetry. The famous Polyakov criterion establishing confinement-deconfinement
phase transition as that from Z_N symmetric to Z_N broken phase applies. At the
Lagrangian level the orientifold theories have at most a Z_2 center. We discuss
how the full Z_N center symmetry dynamically emerges in the orientifold
theories in the limit N-->infinity. In the confining phase the manifestation of
this enhancement is the existence of stable k-strings in the large-N limit of
the orientifold theories. These strings are identical to those of
supersymmetric Yang--Mills theories. We argue that critical temperatures (and
other features) of the confinement-deconfinement phase transition are the same
in the orientifold daughters and their supersymmetric parent up to 1/N
corrections. We also discuss the Abelian and non-Abelian confining regimes of
four-dimensional QCD-like theories.
| [
{
"created": "Wed, 5 Dec 2007 09:24:54 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2007 09:42:42 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Armoni",
"Adi",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Unsal",
"Mithat",
""
]
] | We consider orientifold field theories (i.e. SU(N) Yang--Mills theories with fermions in the two-index symmetric or antisymmetric representations) on R3xS1 where the compact dimension can be either temporal or spatial. These theories are planar equivalent to supersymmetric Yang--Mills. The latter has Z_N center symmetry. The famous Polyakov criterion establishing confinement-deconfinement phase transition as that from Z_N symmetric to Z_N broken phase applies. At the Lagrangian level the orientifold theories have at most a Z_2 center. We discuss how the full Z_N center symmetry dynamically emerges in the orientifold theories in the limit N-->infinity. In the confining phase the manifestation of this enhancement is the existence of stable k-strings in the large-N limit of the orientifold theories. These strings are identical to those of supersymmetric Yang--Mills theories. We argue that critical temperatures (and other features) of the confinement-deconfinement phase transition are the same in the orientifold daughters and their supersymmetric parent up to 1/N corrections. We also discuss the Abelian and non-Abelian confining regimes of four-dimensional QCD-like theories. |
hep-th/0608102 | Soroka Vyacheslav | Dmitrij V. Soroka and Vyacheslav A. Soroka | Nambu-like odd bracket on Grassmann algebra | Latex, 5 pages. JHEP3.cls format | null | null | null | hep-th math-ph math.GR math.MP | null | The Grassmann-odd Nambu-like bracket corresponding to an arbitrary Lie
algebra and realized on the Grassmann algebra is proposed.
| [
{
"created": "Tue, 15 Aug 2006 16:31:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Soroka",
"Dmitrij V.",
""
],
[
"Soroka",
"Vyacheslav A.",
""
]
] | The Grassmann-odd Nambu-like bracket corresponding to an arbitrary Lie algebra and realized on the Grassmann algebra is proposed. |
0910.2254 | Nathan Berkovits | Oscar A. Bedoya and Nathan Berkovits | GGI Lectures on the Pure Spinor Formalism of the Superstring | Lecture notes from GGI school in June 2009, 23 pages harvmac | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Notes taken by Oscar A. Bedoya of lectures of Nathan Berkovits in June 2009
at the Galileo Galilei Institute School "New Perspectives in String Theory".
Topics include the pure spinor superparticle and superstring, tree and loop
amplitudes, Ramond-Ramond backgrounds, and open problems.
| [
{
"created": "Tue, 13 Oct 2009 13:49:03 GMT",
"version": "v1"
}
] | 2009-10-14 | [
[
"Bedoya",
"Oscar A.",
""
],
[
"Berkovits",
"Nathan",
""
]
] | Notes taken by Oscar A. Bedoya of lectures of Nathan Berkovits in June 2009 at the Galileo Galilei Institute School "New Perspectives in String Theory". Topics include the pure spinor superparticle and superstring, tree and loop amplitudes, Ramond-Ramond backgrounds, and open problems. |
hep-th/0204122 | DaeKil Park | D. K. Park and Hungsoo Kim | Singular Quantum Mechanical Viewpoint of Localized Gravity in
Brane-World Scenario | 24 pages, 2 figures, to appear in Nucl. Phys. B | Nucl.Phys. B636 (2002) 179-196 | 10.1016/S0550-3213(02)00420-0 | null | hep-th | null | The graviton localized on the 3-brane is examined in Randall-Sundrum
brane-world scenario from the viewpoint of one-dimensional singular quantum
mechanics. For the Randall-Sundrum single brane scenario the one-parameter
family of the fixed-energy amplitude is explicitly computed where the free
parameter $\xi$ parametrizes the various boundary conditions at the brane. The
general criterion for the localized graviton to be massless is derived when
$\xi$ is arbitrary but non-zero. When $\xi=0$, the massless graviton is
obtained via a coupling constant renormalization. For the two branes picture
the fixed-energy amplitude is in general dependent on the two free parameters.
The numerical test indicates that there is no massless graviton in this
picture. For the positive-tension brane, however, the localized graviton
becomes massless when the distance between branes are infinitely large, which
is essentially identical to the single brane picture. For the negative-tension
brane there is no massless graviton regardless of the distance between branes
and choice of boundary conditions.
| [
{
"created": "Tue, 16 Apr 2002 02:24:02 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2002 01:47:43 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Park",
"D. K.",
""
],
[
"Kim",
"Hungsoo",
""
]
] | The graviton localized on the 3-brane is examined in Randall-Sundrum brane-world scenario from the viewpoint of one-dimensional singular quantum mechanics. For the Randall-Sundrum single brane scenario the one-parameter family of the fixed-energy amplitude is explicitly computed where the free parameter $\xi$ parametrizes the various boundary conditions at the brane. The general criterion for the localized graviton to be massless is derived when $\xi$ is arbitrary but non-zero. When $\xi=0$, the massless graviton is obtained via a coupling constant renormalization. For the two branes picture the fixed-energy amplitude is in general dependent on the two free parameters. The numerical test indicates that there is no massless graviton in this picture. For the positive-tension brane, however, the localized graviton becomes massless when the distance between branes are infinitely large, which is essentially identical to the single brane picture. For the negative-tension brane there is no massless graviton regardless of the distance between branes and choice of boundary conditions. |
hep-th/0302175 | Peter Schupp | Peter Minkowski, Peter Schupp, Josip Trampetic | Neutrino dipole moments and charge radii in noncommutative space-time | 6 pages; v2: references added, major revisions, much higher bound on
NC scale obtained; v3: electromagnetic properties of neutrino in
neutrino-mass extended Standard Model discussed in detail, presentation and
Title improved | Eur.Phys.J. C37 (2004) 123-128 | null | null | hep-th | null | In this paper we obtain a bound $\Lambda_{\rm NC} < 150$ TeV on the scale of
space-time noncommutativity considering photon-neutrino interactions. We
compute "star-dipole moments" and "star-charge radii" originating from
space-time noncommutativity and compare them with the dipole moments calculated
in the neutrino-mass extended standard model (SM). The computation depends on
the nature of the neutrinos, Dirac versus Majorana, their mass and the energy
scale. We focus on Majorana neutrinos. The "star-charge radius" is found to be
$r^* = \sqrt{|< r^2_{\nu}>_{\rm NC}|} =|3\sum_{i=1}^3 ({\theta}^{0i})^2|^{1/4}
< 1.6 \times 10^{-19}$ cm at $\Lambda_{\rm NC} = 150$ TeV.
| [
{
"created": "Fri, 21 Feb 2003 20:48:26 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2003 19:14:50 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Jul 2004 14:32:31 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Minkowski",
"Peter",
""
],
[
"Schupp",
"Peter",
""
],
[
"Trampetic",
"Josip",
""
]
] | In this paper we obtain a bound $\Lambda_{\rm NC} < 150$ TeV on the scale of space-time noncommutativity considering photon-neutrino interactions. We compute "star-dipole moments" and "star-charge radii" originating from space-time noncommutativity and compare them with the dipole moments calculated in the neutrino-mass extended standard model (SM). The computation depends on the nature of the neutrinos, Dirac versus Majorana, their mass and the energy scale. We focus on Majorana neutrinos. The "star-charge radius" is found to be $r^* = \sqrt{|< r^2_{\nu}>_{\rm NC}|} =|3\sum_{i=1}^3 ({\theta}^{0i})^2|^{1/4} < 1.6 \times 10^{-19}$ cm at $\Lambda_{\rm NC} = 150$ TeV. |
hep-th/9401108 | null | J. M. Figueroa-O'Farrill | A comment on the magical realizations of W_3 | .dvi file + 1 EPS figure, 10 document pages but 5 physical pages | Phys.Lett. B326 (1994) 89-94 | 10.1016/0370-2693(94)91197-5 | QMW-PH-94-1 | hep-th | null | In the process of investigating classical realizations of W_3 in terms of
free bosons, Romans unveiled a relation to finite-dimensional Jordan algebras
with a cubic norm. These algebras have been classified and consist of an
infinite series (yielding the ``generic'' realizations) and four sporadic
algebras associated to the real division algebras (which yield the ``magical''
realizations). The generic realizations were shown by Romans to quantize, who
left the problem of the quantization of the magical realizations open. In later
work, Mohammedi showed that the first two magical realizations did not survive
quantization. In this note we close the problem by showing that neither do the
other two magical realizations.
| [
{
"created": "Fri, 21 Jan 1994 18:11:41 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Figueroa-O'Farrill",
"J. M.",
""
]
] | In the process of investigating classical realizations of W_3 in terms of free bosons, Romans unveiled a relation to finite-dimensional Jordan algebras with a cubic norm. These algebras have been classified and consist of an infinite series (yielding the ``generic'' realizations) and four sporadic algebras associated to the real division algebras (which yield the ``magical'' realizations). The generic realizations were shown by Romans to quantize, who left the problem of the quantization of the magical realizations open. In later work, Mohammedi showed that the first two magical realizations did not survive quantization. In this note we close the problem by showing that neither do the other two magical realizations. |
1002.3575 | Daniel Kabat | Daniel Kabat, Dimitra Karabali and V.P. Nair | Edges and Diffractive Effects in Casimir Energies | 32 pages, LaTeX, 9 figures. v2: additional discussion of
renormalization procedure, version to appear in PRD. v3: corrected a sign
error in (70) | Phys.Rev.D81:125013,2010 | 10.1103/PhysRevD.81.125013 | CCNY-HEP-10/1 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The prototypical Casimir effect arises when a scalar field is confined
between parallel Dirichlet boundaries. We study corrections to this when the
boundaries themselves have apertures and edges. We consider several geometries:
a single plate with a slit in it, perpendicular plates separated by a gap, and
two parallel plates, one of which has a long slit of large width, related to
the case of one plate being semi-infinite. We develop a general formalism for
studying such problems, based on the wavefunctional for the field in the gap
between the plates. This formalism leads to a lower dimensional theory defined
on the open regions of the plates or boundaries. The Casimir energy is then
given in terms of the determinant of the nonlocal differential operator which
defines the lower dimensional theory. We develop perturbative methods for
computing these determinants. Our results are in good agreement with known
results based on Monte Carlo simulations. The method is well suited to
isolating the diffractive contributions to the Casimir energy.
| [
{
"created": "Thu, 18 Feb 2010 17:00:41 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2010 21:54:37 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Nov 2011 02:18:26 GMT",
"version": "v3"
}
] | 2011-11-02 | [
[
"Kabat",
"Daniel",
""
],
[
"Karabali",
"Dimitra",
""
],
[
"Nair",
"V. P.",
""
]
] | The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single plate with a slit in it, perpendicular plates separated by a gap, and two parallel plates, one of which has a long slit of large width, related to the case of one plate being semi-infinite. We develop a general formalism for studying such problems, based on the wavefunctional for the field in the gap between the plates. This formalism leads to a lower dimensional theory defined on the open regions of the plates or boundaries. The Casimir energy is then given in terms of the determinant of the nonlocal differential operator which defines the lower dimensional theory. We develop perturbative methods for computing these determinants. Our results are in good agreement with known results based on Monte Carlo simulations. The method is well suited to isolating the diffractive contributions to the Casimir energy. |
hep-th/9708142 | Jason C. Breckenridge | J.C. Breckenridge | Black Holes in String Theory | 9 pages, LaTeX, uses included style file `weird.sty', to appear in
the proceedings of the 7th Canadian Conference on General Relativity and
Relativistic Astrophysics, June 5-7, 1997 | null | null | McGill/97-22 | hep-th | null | The black hole solutions to Einstein's vacuum field equations are also
solutions to the equations of motion of the low energy limit of superstring
theory. At the same time, string theory boasts a much broader and richer
collection of black hole solutions. Fortunately, string theories also possess a
remarkable set of duality symmetries relating states within and between
different string theories. These duality symmetries can be exploited to
construct new black hole solutions from known solutions, giving us powerful
tools with which to explore the black hole solutions of string theory. Here we
introduce and demonstrate these techniques of solution generating.
| [
{
"created": "Wed, 27 Aug 1997 13:57:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Breckenridge",
"J. C.",
""
]
] | The black hole solutions to Einstein's vacuum field equations are also solutions to the equations of motion of the low energy limit of superstring theory. At the same time, string theory boasts a much broader and richer collection of black hole solutions. Fortunately, string theories also possess a remarkable set of duality symmetries relating states within and between different string theories. These duality symmetries can be exploited to construct new black hole solutions from known solutions, giving us powerful tools with which to explore the black hole solutions of string theory. Here we introduce and demonstrate these techniques of solution generating. |
hep-th/9801047 | Adel Bilal | Adel Bilal (ENS Paris) | A Comment on Compactification of M-Theory on an (Almost) Light-Like
Circle | 17 pages, uses PHYZZX, no figures | Nucl.Phys. B521 (1998) 202-216 | 10.1016/S0550-3213(98)00203-X | LPTENS-97/63 | hep-th | null | In perturbative quantum field theory the limit of compactification on an
almost light-like circle has recently been shown to be plagued by divergences.
We argue that the light-like limit for M-theory probably is free of such
divergences due to, among others, the existence of the wrapping modes of the
membranes. To illustrate this, we consider superstring theory compactified on
an almost light-like circle. Specifically, we compute a one-loop four-point
amplitude in type II theory. As is well known, if the external states have
vanishing momenta in the compact dimension, the divergence in the light-like
limit is even stronger than in field theory. However, in the case of present
interest, where these external momenta are non-vanishing, there is a subtle
compensation and the resulting amplitude has a well-defined and finite
light-like limit. The net effect of taking the light-like limit is to replace
the integration over one of the moduli of the 4-punctured torus by a sum over a
discrete modulus taking values in a finite lattice on the torus. The same
result can also be obtained from a suitably "Wick rotated" amplitude computed
directly with a compact light-like circle.
| [
{
"created": "Thu, 8 Jan 1998 19:48:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bilal",
"Adel",
"",
"ENS Paris"
]
] | In perturbative quantum field theory the limit of compactification on an almost light-like circle has recently been shown to be plagued by divergences. We argue that the light-like limit for M-theory probably is free of such divergences due to, among others, the existence of the wrapping modes of the membranes. To illustrate this, we consider superstring theory compactified on an almost light-like circle. Specifically, we compute a one-loop four-point amplitude in type II theory. As is well known, if the external states have vanishing momenta in the compact dimension, the divergence in the light-like limit is even stronger than in field theory. However, in the case of present interest, where these external momenta are non-vanishing, there is a subtle compensation and the resulting amplitude has a well-defined and finite light-like limit. The net effect of taking the light-like limit is to replace the integration over one of the moduli of the 4-punctured torus by a sum over a discrete modulus taking values in a finite lattice on the torus. The same result can also be obtained from a suitably "Wick rotated" amplitude computed directly with a compact light-like circle. |
0905.1479 | Er-Cheng Tsai | Er-Cheng Tsai | The Advantage of Rightmost Ordering for gamma5 in Dimensional
Regularization | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a gamma5 scheme in dimensional regularization by analytically
continuing the dimension after all the gamma5 matrices have been moved to the
rightmost position. All Feynman amplitudes corresponding to diagrams with no
fermion loops regulated in this manner automatically satisfy the Ward-Takahashi
identities. This is in contrast to the scheme of Breitenlohner and Maison, in
which finite counter-terms are needed to restore gauge invariance. This
rightmost gamma5 scheme also has an advantage over the naive dimensional
regularization scheme which does not have a definitive prescription consistent
with gauge symmetry. Diagrams with fermion loops can be handled by selecting a
proper cut point on each fermion loop to play the role of the point of the
rightmost position.
| [
{
"created": "Sun, 10 May 2009 14:49:47 GMT",
"version": "v1"
}
] | 2009-05-12 | [
[
"Tsai",
"Er-Cheng",
""
]
] | We propose a gamma5 scheme in dimensional regularization by analytically continuing the dimension after all the gamma5 matrices have been moved to the rightmost position. All Feynman amplitudes corresponding to diagrams with no fermion loops regulated in this manner automatically satisfy the Ward-Takahashi identities. This is in contrast to the scheme of Breitenlohner and Maison, in which finite counter-terms are needed to restore gauge invariance. This rightmost gamma5 scheme also has an advantage over the naive dimensional regularization scheme which does not have a definitive prescription consistent with gauge symmetry. Diagrams with fermion loops can be handled by selecting a proper cut point on each fermion loop to play the role of the point of the rightmost position. |
hep-th/9312199 | Shigemot | Changrim Ahn, Minoru Horibe and Kazuyasu Shigemoto | Relation between Yang-Baxter and Pair Propagation Equations in 16-Vertex
Models | 11 pages, TEZU-F-059 and EWHA-TH-002 | null | 10.1142/S0217984994001655 | null | hep-th cond-mat | null | We study a relation between two integrability conditions, namely the
Yang-Baxter and the pair propagation equations, in 2D lattice models. While the
two are equivalent in the 8-vertex models, discrepancies appear in the
16-vertex models. As explicit examples, we find the exactly solvable 16-vertex
models which do not satisfy the Yang-Baxter equations.
| [
{
"created": "Tue, 28 Dec 1993 08:07:48 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Sep 1994 04:42:35 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Sep 1994 15:17:17 GMT",
"version": "v3"
}
] | 2009-10-22 | [
[
"Ahn",
"Changrim",
""
],
[
"Horibe",
"Minoru",
""
],
[
"Shigemoto",
"Kazuyasu",
""
]
] | We study a relation between two integrability conditions, namely the Yang-Baxter and the pair propagation equations, in 2D lattice models. While the two are equivalent in the 8-vertex models, discrepancies appear in the 16-vertex models. As explicit examples, we find the exactly solvable 16-vertex models which do not satisfy the Yang-Baxter equations. |
1909.12352 | Anton Rebhan | Josef Leutgeb and Anton Rebhan | Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in
holographic QCD | 1+19 pages, 1 figure, 3 tables. v2: reference added | Phys. Rev. D 101, 014006 (2020) | 10.1103/PhysRevD.101.014006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the $U(1)_A$ anomaly in the holographic model of low-energy QCD by
Witten, Sakai, and Sugimoto, presenting a new and direct derivation of the
Witten-Veneziano mechanism for generating the mass of the $\eta'$ through an
anomalous mixing of the Ramond-Ramond $C_1$ field with the singlet component of
the pseudoscalar mesons. The latter turns out to have a kinetic mixing with the
normalizable modes of the $C_1$ field representing pseudoscalar glueballs,
yielding additional vertices for their production and their decay that dominate
over those of the unmixed case considered previously in the
Witten-Sakai-Sugimoto model. The leading channel is predicted to be decay into
two vector mesons, followed in importance by decay into three pseudoscalar
mesons. The issue of production of pseudoscalar glueballs in radiative $J/\psi$
decays and in double diffractive processes is also discussed briefly.
| [
{
"created": "Thu, 26 Sep 2019 19:37:27 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Oct 2019 14:50:06 GMT",
"version": "v2"
}
] | 2020-01-15 | [
[
"Leutgeb",
"Josef",
""
],
[
"Rebhan",
"Anton",
""
]
] | We revisit the $U(1)_A$ anomaly in the holographic model of low-energy QCD by Witten, Sakai, and Sugimoto, presenting a new and direct derivation of the Witten-Veneziano mechanism for generating the mass of the $\eta'$ through an anomalous mixing of the Ramond-Ramond $C_1$ field with the singlet component of the pseudoscalar mesons. The latter turns out to have a kinetic mixing with the normalizable modes of the $C_1$ field representing pseudoscalar glueballs, yielding additional vertices for their production and their decay that dominate over those of the unmixed case considered previously in the Witten-Sakai-Sugimoto model. The leading channel is predicted to be decay into two vector mesons, followed in importance by decay into three pseudoscalar mesons. The issue of production of pseudoscalar glueballs in radiative $J/\psi$ decays and in double diffractive processes is also discussed briefly. |
hep-th/9706226 | Theory Group Associate | Philip Candelas and Harald Skarke | F-theory, SO(32) and Toric Geometry | 11 pages, Latex2e, uses epsf, references added | Phys.Lett. B413 (1997) 63-69 | 10.1016/S0370-2693(97)01047-2 | UTTG-21-97 | hep-th | null | We show that the F-theory dual of the heterotic string with unbroken
Spin(32)/Z_2 symmetry in eight dimensions can be described in terms of the same
polyhedron that can also encode unbroken E_8\times E_8 symmetry. By considering
particular compactifications with this K3 surface as a fiber, we can reproduce
the recently found `record gauge group' in six dimensions and obtain a new
`record gauge group' in four dimensions. Our observations relate to the toric
diagram for the intersection of components of degenerate fibers and our
definition of these objects, which we call `tops', is more general than an
earlier definition by Candelas and Font.
| [
{
"created": "Mon, 30 Jun 1997 22:59:07 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 1997 01:34:50 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Candelas",
"Philip",
""
],
[
"Skarke",
"Harald",
""
]
] | We show that the F-theory dual of the heterotic string with unbroken Spin(32)/Z_2 symmetry in eight dimensions can be described in terms of the same polyhedron that can also encode unbroken E_8\times E_8 symmetry. By considering particular compactifications with this K3 surface as a fiber, we can reproduce the recently found `record gauge group' in six dimensions and obtain a new `record gauge group' in four dimensions. Our observations relate to the toric diagram for the intersection of components of degenerate fibers and our definition of these objects, which we call `tops', is more general than an earlier definition by Candelas and Font. |
hep-th/9911094 | Nick Dorey | Nick Dorey and David Tong | Mirror Symmetry and Toric Geometry in Three-Dimensional Gauge Theories | 16 pages. LaTeX file+two figures. Final version to appear in JHEP | JHEP 0005 (2000) 018 | 10.1088/1126-6708/2000/05/018 | SWAT/244, KCL-MTH-99-45 | hep-th | null | We study three dimensional gauge theories with N=2 supersymmetry. We show
that the Coulomb branches of such theories may be rendered compact by the
dynamical generation of Chern-Simons terms and present a new class of mirror
symmetric theories in which both Coulomb and Higgs branches have a natural
description in terms of toric geometry.
| [
{
"created": "Fri, 12 Nov 1999 16:30:23 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 1999 12:09:06 GMT",
"version": "v2"
},
{
"created": "Sun, 7 May 2000 16:30:57 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Dorey",
"Nick",
""
],
[
"Tong",
"David",
""
]
] | We study three dimensional gauge theories with N=2 supersymmetry. We show that the Coulomb branches of such theories may be rendered compact by the dynamical generation of Chern-Simons terms and present a new class of mirror symmetric theories in which both Coulomb and Higgs branches have a natural description in terms of toric geometry. |
2101.07854 | Kantaro Ohmori | Kantaro Ohmori | Replica Instantons from Axion-like Coupling | 4+1 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a phenomenon in a non-gravitational gauge theory analogous to the
replica wormhole in a quantum gravity theory. We consider a reservoir of a
scalar field coupled with a gauge theory contained in a region with a boundary
by an axion-like coupling. When the replica trick is used to compute the
entanglement entropy for a subregion in the reservoir, a tuple of instantons
distributed across the replica sheets gives a non-perturbative contribution. As
an explicit and solvable example, we consider a discrete scalar field coupled
to a 2d pure gauge theory and observe how the replica instantons reproduce the
entropy directly calculated from the reduced density matrix. In addition, we
notice that the entanglement entropy can detect the confinement of a 2d gauge
theory.
| [
{
"created": "Tue, 19 Jan 2021 20:39:09 GMT",
"version": "v1"
}
] | 2021-01-21 | [
[
"Ohmori",
"Kantaro",
""
]
] | We find a phenomenon in a non-gravitational gauge theory analogous to the replica wormhole in a quantum gravity theory. We consider a reservoir of a scalar field coupled with a gauge theory contained in a region with a boundary by an axion-like coupling. When the replica trick is used to compute the entanglement entropy for a subregion in the reservoir, a tuple of instantons distributed across the replica sheets gives a non-perturbative contribution. As an explicit and solvable example, we consider a discrete scalar field coupled to a 2d pure gauge theory and observe how the replica instantons reproduce the entropy directly calculated from the reduced density matrix. In addition, we notice that the entanglement entropy can detect the confinement of a 2d gauge theory. |
0901.2638 | Stam Nicolis | M. Axenides, E. G. Floratos and S. Nicolis | Nambu Quantum Mechanics on Discrete 3-Tori | 13 pages, LaTeX2e | J.Phys.A42:275201,2009 | 10.1088/1751-8113/42/27/275201 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a quantization of linear, volume preserving, maps on the discrete
and finite 3-torus T_N^3 represented by elements of the group SL(3,Z_N). These
flows can be considered as special motions of the Nambu dynamics (linear Nambu
flows) in the three dimensional toroidal phase space and are characterized by
invariant vectors, a, of T_N^3. We quantize all such flows which are
necessarily restricted on a planar two-dimensional phase space, embedded in the
3-torus, transverse to the vector a . The corresponding maps belong to the
little group of the vector a in SL(3,Z_N) which is an SL(2,Z_N) subgroup. The
associated linear Nambu maps are generated by a pair of linear and quadratic
Hamiltonians (Clebsch-Monge potentials of the flow) and the corresponding
quantum maps, realize the metaplectic representation of SL(3,Z_N) on the
discrete group of three dimensional magnetic translations i.e. the
non-commutative 3-torus with deformation parameter the N-th root of unity.
Other potential applications of our construction are related to the
quantization of deterministic chaos in turbulent maps as well as to quantum
tomography of three dimensional objects.
| [
{
"created": "Sat, 17 Jan 2009 14:23:19 GMT",
"version": "v1"
}
] | 2009-06-19 | [
[
"Axenides",
"M.",
""
],
[
"Floratos",
"E. G.",
""
],
[
"Nicolis",
"S.",
""
]
] | We propose a quantization of linear, volume preserving, maps on the discrete and finite 3-torus T_N^3 represented by elements of the group SL(3,Z_N). These flows can be considered as special motions of the Nambu dynamics (linear Nambu flows) in the three dimensional toroidal phase space and are characterized by invariant vectors, a, of T_N^3. We quantize all such flows which are necessarily restricted on a planar two-dimensional phase space, embedded in the 3-torus, transverse to the vector a . The corresponding maps belong to the little group of the vector a in SL(3,Z_N) which is an SL(2,Z_N) subgroup. The associated linear Nambu maps are generated by a pair of linear and quadratic Hamiltonians (Clebsch-Monge potentials of the flow) and the corresponding quantum maps, realize the metaplectic representation of SL(3,Z_N) on the discrete group of three dimensional magnetic translations i.e. the non-commutative 3-torus with deformation parameter the N-th root of unity. Other potential applications of our construction are related to the quantization of deterministic chaos in turbulent maps as well as to quantum tomography of three dimensional objects. |
hep-th/0202133 | Seriko Tanimoto | Tomohiko Takahashi, Seriko Tanimoto | Marginal and Scalar Solutions in Cubic Open String Field Theory | 21 pages, 1 eps figure, LaTeX; v2:reference added, typos corrected | JHEP 0203 (2002) 033 | 10.1088/1126-6708/2002/03/033 | null | hep-th | null | We find marginal and scalar solutions in cubic open string field theory by
using left-right splitting properties of a delta function. The marginal
solution represents a marginal deformation generated by a U(1) current, and it
is a generalized solution of the Wilson lines one given by the present authors.
The scalar solution has a well-defined universal Fock space expression, and it
is expressed as a singular gauge transform of the trivial vacuum. The expanded
theory around it is unable to be connected with the original theory by the
string field redefinition. Errors in hep-th/0112124 are corrected in this
paper.
| [
{
"created": "Wed, 20 Feb 2002 11:16:07 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2002 08:42:06 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Takahashi",
"Tomohiko",
""
],
[
"Tanimoto",
"Seriko",
""
]
] | We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a generalized solution of the Wilson lines one given by the present authors. The scalar solution has a well-defined universal Fock space expression, and it is expressed as a singular gauge transform of the trivial vacuum. The expanded theory around it is unable to be connected with the original theory by the string field redefinition. Errors in hep-th/0112124 are corrected in this paper. |
2301.03106 | Poula Tadros | Poula Tadros | (1+1) dimensional scalar field theory on q-deformed space | null | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study scalar field theory in one space and one time dimensions on a
q-deformed space with static background. We write the Lagrangian and the
equation of motion and solve it to the first order in $q-1$ where $q$ is the
deformation parameter of the space.
| [
{
"created": "Sun, 8 Jan 2023 21:07:20 GMT",
"version": "v1"
}
] | 2023-01-10 | [
[
"Tadros",
"Poula",
""
]
] | We study scalar field theory in one space and one time dimensions on a q-deformed space with static background. We write the Lagrangian and the equation of motion and solve it to the first order in $q-1$ where $q$ is the deformation parameter of the space. |
1003.0782 | Alexandre Filippov | A.T.Filippov | On the Weyl - Eddington - Einstein affine gravity in the context of
modern cosmology | 15 pages; a few misprints corrected, one footnote removed and two
added, the formulae and results unchanged but the text somewhat edited, esp.
in Sections 4,5; the reference to the RFBR grant corrected. | null | 10.1007/s11232-010-0059-6 | null | hep-th gr-qc physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose new models of an `affine' theory of gravity in $D$-dimensional
space-times with symmetric connections. They are based on ideas of Weyl,
Eddington and Einstein and, in particular, on Einstein's proposal to specify
the space - time geometry by use of the Hamilton principle. More specifically,
the connection coefficients are derived by varying a `geometric' Lagrangian
that is supposed to be an arbitrary function of the generalized (non-symmetric)
Ricci curvature tensor (and, possibly, of other fundamental tensors) expressed
in terms of the connection coefficients regarded as independent variables. In
addition to the standard Einstein gravity, such a theory predicts dark energy
(the cosmological constant, in the first approximation), a neutral massive (or,
tachyonic) vector field, and massive (or, tachyonic) scalar fields. These
fields couple only to gravity and may generate dark matter and/or inflation.
The masses (real or imaginary) have geometric origin and one cannot avoid their
appearance in any concrete model. Further details of the theory - such as the
nature of the vector and scalar fields that can describe massive particles,
tachyons, or even `phantoms' - depend on the concrete choice of the geometric
Lagrangian. In `natural' geometric theories, which are discussed here, dark
energy is also unavoidable. Main parameters - mass, cosmological constant,
possible dimensionless constants - cannot be predicted, but, in the framework
of modern `multiverse' ideology, this is rather a virtue than a drawback of the
theory. To better understand possible applications of the theory we discuss
some further extensions of the affine models and analyze in more detail
approximate (`physical') Lagrangians that can be applied to cosmology of the
early Universe.
| [
{
"created": "Wed, 3 Mar 2010 11:36:24 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Mar 2010 19:47:50 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Filippov",
"A. T.",
""
]
] | We propose new models of an `affine' theory of gravity in $D$-dimensional space-times with symmetric connections. They are based on ideas of Weyl, Eddington and Einstein and, in particular, on Einstein's proposal to specify the space - time geometry by use of the Hamilton principle. More specifically, the connection coefficients are derived by varying a `geometric' Lagrangian that is supposed to be an arbitrary function of the generalized (non-symmetric) Ricci curvature tensor (and, possibly, of other fundamental tensors) expressed in terms of the connection coefficients regarded as independent variables. In addition to the standard Einstein gravity, such a theory predicts dark energy (the cosmological constant, in the first approximation), a neutral massive (or, tachyonic) vector field, and massive (or, tachyonic) scalar fields. These fields couple only to gravity and may generate dark matter and/or inflation. The masses (real or imaginary) have geometric origin and one cannot avoid their appearance in any concrete model. Further details of the theory - such as the nature of the vector and scalar fields that can describe massive particles, tachyons, or even `phantoms' - depend on the concrete choice of the geometric Lagrangian. In `natural' geometric theories, which are discussed here, dark energy is also unavoidable. Main parameters - mass, cosmological constant, possible dimensionless constants - cannot be predicted, but, in the framework of modern `multiverse' ideology, this is rather a virtue than a drawback of the theory. To better understand possible applications of the theory we discuss some further extensions of the affine models and analyze in more detail approximate (`physical') Lagrangians that can be applied to cosmology of the early Universe. |
hep-th/0401099 | Mark A. Stern | Mark A. Stern | B fields from a Luddite perspective | 7 pages. From a talk given at the 3rd International Symposium on
Quantum Theory and Symmetries (QTS3) | null | 10.1142/9789812702340_0048 | CGTP-04-03 | hep-th | null | In this talk we discuss the geometric realization of B fields and higher
p-form potentials on a manifold M as connections on affine bundles over M. We
realize D branes on M as special submanifolds of these affine bundles. As an
application of this geometric understanding of the B field, we give a simple
geometric explanation for the Chern-Simons modification of the field strength
of the B field.
| [
{
"created": "Wed, 14 Jan 2004 16:23:03 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Stern",
"Mark A.",
""
]
] | In this talk we discuss the geometric realization of B fields and higher p-form potentials on a manifold M as connections on affine bundles over M. We realize D branes on M as special submanifolds of these affine bundles. As an application of this geometric understanding of the B field, we give a simple geometric explanation for the Chern-Simons modification of the field strength of the B field. |
2004.05646 | Ricardo Weder | Benito A. Ju\'arez-Aubry and Ricardo Weder | Quantum field theory with dynamical boundary conditions and the Casimir
effect | null | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a coupled system that describes the interacting dynamics between a
bulk field, confined to a finite region with timelike boundary, and a boundary
observable. In our system the dynamics of the boundary observable prescribes
dynamical boundary conditions for the bulk field. We cast our classical system
in the form of an abstract linear Klein-Gordon equation, in an enlarged Hilbert
space for the bulk field and the boundary observable. This makes it possible to
apply to our coupled system the general methods of quantization. In particular,
we implement the Fock quantization in full detail. Using this quantization we
study the Casimir effect in our coupled system. Specifically, we compute the
renormalized local state polarization and the local Casimir energy, which we
can define for both the bulk field and the boundary observable of our system.
Numerical examples in which the integrated Casimir energy is positive or
negative are presented.
| [
{
"created": "Sun, 12 Apr 2020 16:27:16 GMT",
"version": "v1"
}
] | 2020-04-14 | [
[
"Juárez-Aubry",
"Benito A.",
""
],
[
"Weder",
"Ricardo",
""
]
] | We study a coupled system that describes the interacting dynamics between a bulk field, confined to a finite region with timelike boundary, and a boundary observable. In our system the dynamics of the boundary observable prescribes dynamical boundary conditions for the bulk field. We cast our classical system in the form of an abstract linear Klein-Gordon equation, in an enlarged Hilbert space for the bulk field and the boundary observable. This makes it possible to apply to our coupled system the general methods of quantization. In particular, we implement the Fock quantization in full detail. Using this quantization we study the Casimir effect in our coupled system. Specifically, we compute the renormalized local state polarization and the local Casimir energy, which we can define for both the bulk field and the boundary observable of our system. Numerical examples in which the integrated Casimir energy is positive or negative are presented. |
1109.4713 | Morteza Mohseni | Morteza Mohseni | Exact plane gravitational waves in the de Rham-Gabadadze-Tolley model of
massive gravity | reference added, typo corrected | Phys. Rev. D 84, 064026 (2011) | 10.1103/PhysRevD.84.064026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the nonlinear massive gravity model of de Rham, Gabadadze, and
Tolley admits exact plane gravitational wave solution whose waveform obeys the
two-dimensional Helmholtz equation. The solution is valid for arbitrary values
of the coefficients of the cubic and quartic terms. In the massless limit the
solution reduces to the Aichelburg-Sexl metric in general relativity.
| [
{
"created": "Thu, 22 Sep 2011 07:20:41 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Nov 2011 14:03:38 GMT",
"version": "v2"
}
] | 2011-11-29 | [
[
"Mohseni",
"Morteza",
""
]
] | We show that the nonlinear massive gravity model of de Rham, Gabadadze, and Tolley admits exact plane gravitational wave solution whose waveform obeys the two-dimensional Helmholtz equation. The solution is valid for arbitrary values of the coefficients of the cubic and quartic terms. In the massless limit the solution reduces to the Aichelburg-Sexl metric in general relativity. |
hep-th/0202043 | changrim Ahn | Changrim Ahn (Ewha), Chaiho Rim (Chonbuk), Marian Stanishkov (Ewha) | Exact One-Point Function of N=1 super-Liouville Theory with Boundary | 18 pages, LaTeX | Nucl.Phys. B636 (2002) 497-513 | 10.1016/S0550-3213(02)00296-1 | null | hep-th | null | In this paper, exact one-point functions of N=1 super-Liouville field theory
in two-dimensional space-time with appropriate boundary conditions are
presented. Exact results are derived both for the theory defined on a
pseudosphere with discrete (NS) boundary conditions and for the theory with
explicit boundary actions which preserves super conformal symmetries. We
provide various consistency checks. We also show that these one-point functions
can be related to a generalized Cardy conditions along with corresponding
modular $S$-matrices. Using this result, we conjecture the dependence of the
boundary two-point functions of the (NS) boundary operators on the boundary
parameter.
| [
{
"created": "Thu, 7 Feb 2002 10:51:04 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ahn",
"Changrim",
"",
"Ewha"
],
[
"Rim",
"Chaiho",
"",
"Chonbuk"
],
[
"Stanishkov",
"Marian",
"",
"Ewha"
]
] | In this paper, exact one-point functions of N=1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with discrete (NS) boundary conditions and for the theory with explicit boundary actions which preserves super conformal symmetries. We provide various consistency checks. We also show that these one-point functions can be related to a generalized Cardy conditions along with corresponding modular $S$-matrices. Using this result, we conjecture the dependence of the boundary two-point functions of the (NS) boundary operators on the boundary parameter. |
1202.4682 | Galen Sotkov | U. Camara dS, C. P. Constantinidis, A. L. Alves Lima and G. M. Sotkov | Domain Walls in Extended Lovelock Gravity | 39 pages,2figures; V2- small corrections and improvements, references
added | null | 10.1007/JHEP04(2012)109 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a BPS-like first order system of equations for a family of flat
static domain walls (DWs) of dimensionally extended cubic Lovelock Gravity
coupled to massive scalar self-interacting matter. The explicit construction of
such DWs is achieved by introducing of an appropriate matter superpotential. We
further analyse the dependence of the geometric properties of the
asymptotically AdSd space-times representing distinct DWs on the shape of the
matter potential, on the values of the Lovelock couplings and on the scalar
field boundary conditions. Few explicit examples of Lovelock DWs interpolating
between AdS-type vacua of different cosmological constants are presented. In
five dimensions our method provides interesting solutions of the Myers-Robinson
Quasi-topological Gravity in the presence of matter important for the
description of the specific renormalization group flows in its holographic dual
four-dimensional CFT perturbed by relevant operators.
| [
{
"created": "Tue, 21 Feb 2012 15:55:33 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2012 23:04:20 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"dS",
"U. Camara",
""
],
[
"Constantinidis",
"C. P.",
""
],
[
"Lima",
"A. L. Alves",
""
],
[
"Sotkov",
"G. M.",
""
]
] | We derive a BPS-like first order system of equations for a family of flat static domain walls (DWs) of dimensionally extended cubic Lovelock Gravity coupled to massive scalar self-interacting matter. The explicit construction of such DWs is achieved by introducing of an appropriate matter superpotential. We further analyse the dependence of the geometric properties of the asymptotically AdSd space-times representing distinct DWs on the shape of the matter potential, on the values of the Lovelock couplings and on the scalar field boundary conditions. Few explicit examples of Lovelock DWs interpolating between AdS-type vacua of different cosmological constants are presented. In five dimensions our method provides interesting solutions of the Myers-Robinson Quasi-topological Gravity in the presence of matter important for the description of the specific renormalization group flows in its holographic dual four-dimensional CFT perturbed by relevant operators. |
hep-th/0603185 | Jorge Zanelli | Marc Henneaux, Cristian Martinez, Ricardo Troncoso, Jorge Zanelli | Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity
coupled to scalar fields | 37 pages, no figures, plain latex. Typos corrected, comments and
references added | AnnalsPhys.322:824-848,2007 | 10.1016/j.aop.2006.05.002 | CECS-PHY-06/04, NSF-KITP-06-20, ULB-TH/06-05 | hep-th | null | We examine anti-de Sitter gravity minimally coupled to a self-interacting
scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in
the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS
radius, and $m_{\ast}^{2}$ is the Breitenlohner-Freedman mass. We show that
even though the scalar field generically has a slow fall-off at infinity which
back reacts on the metric so as to modify its standard asymptotic behavior, one
can still formulate asymptotic conditions (i) that are anti-de Sitter
invariant; and (ii) that allows the construction of well-defined and finite
Hamiltonian generators for all elements of the anti-de Sitter algebra. This
requires imposing a functional relationship on the coefficients $a$, $b$ that
control the two independent terms in the asymptotic expansion of the scalar
field. The anti-de Sitter charges are found to involve a scalar field
contribution. Subtleties associated with the self-interactions of the scalar
field as well as its gravitational back reaction, not discussed in previous
treatments, are explicitly analyzed. In particular, it is shown that the fields
develop extra logarithmic branches for specific values of the scalar field mass
(in addition to the known logarithmic branch at the B-F bound).
| [
{
"created": "Thu, 23 Mar 2006 22:24:27 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2006 01:14:56 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Henneaux",
"Marc",
""
],
[
"Martinez",
"Cristian",
""
],
[
"Troncoso",
"Ricardo",
""
],
[
"Zanelli",
"Jorge",
""
]
] | We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and $m_{\ast}^{2}$ is the Breitenlohner-Freedman mass. We show that even though the scalar field generically has a slow fall-off at infinity which back reacts on the metric so as to modify its standard asymptotic behavior, one can still formulate asymptotic conditions (i) that are anti-de Sitter invariant; and (ii) that allows the construction of well-defined and finite Hamiltonian generators for all elements of the anti-de Sitter algebra. This requires imposing a functional relationship on the coefficients $a$, $b$ that control the two independent terms in the asymptotic expansion of the scalar field. The anti-de Sitter charges are found to involve a scalar field contribution. Subtleties associated with the self-interactions of the scalar field as well as its gravitational back reaction, not discussed in previous treatments, are explicitly analyzed. In particular, it is shown that the fields develop extra logarithmic branches for specific values of the scalar field mass (in addition to the known logarithmic branch at the B-F bound). |
hep-th/0011257 | Calin Iuliu Lazaroiu | C. I. Lazaroiu | Instanton amplitudes in open-closed topological string theory | 34 pages, 4 figures | null | null | YITP-SB 00-76 | hep-th | null | I use the universal instanton formalism to discuss quantum effects in the
open-closed topological string theory of a Calabi-Yau A-model, in the presence
of a multiply-wrapped `Floer' D-brane. This gives a precise meaning (up to the
issue of compactifying the relevant moduli spaces) to the instanton corrections
which affect sigma model and topological string amplitudes. The cohomological
formalism I use recovers the homological approach used by Fukaya and
collaborators in the singly-wrapped case, even though it is not a naive
generalization of the latter. I also prove some non-renormalization theorems
for amplitudes with low number of insertions. The non-renormalization argument
is purely geometric and based on the universal instanton formulation, and thus
it does not assume that the background satisfies the string equations of
motion. These results are valid even though the D-brane background typically
receives worldsheet instanton corrections. I also point out that the localized
form of the boundary BRST operator receives instanton corrections and make a
few comments on the consequences of this effect.
| [
{
"created": "Tue, 28 Nov 2000 20:55:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lazaroiu",
"C. I.",
""
]
] | I use the universal instanton formalism to discuss quantum effects in the open-closed topological string theory of a Calabi-Yau A-model, in the presence of a multiply-wrapped `Floer' D-brane. This gives a precise meaning (up to the issue of compactifying the relevant moduli spaces) to the instanton corrections which affect sigma model and topological string amplitudes. The cohomological formalism I use recovers the homological approach used by Fukaya and collaborators in the singly-wrapped case, even though it is not a naive generalization of the latter. I also prove some non-renormalization theorems for amplitudes with low number of insertions. The non-renormalization argument is purely geometric and based on the universal instanton formulation, and thus it does not assume that the background satisfies the string equations of motion. These results are valid even though the D-brane background typically receives worldsheet instanton corrections. I also point out that the localized form of the boundary BRST operator receives instanton corrections and make a few comments on the consequences of this effect. |
hep-th/0602057 | David Ridout | Peter Bouwknegt and David Ridout | Presentations of Wess-Zumino-Witten Fusion Rings | 32 pages, 3 figures, added references, minor additions to text. To be
published in Rev. Math. Phys | Rev.Math.Phys.18:201-232,2006 | 10.1142/S0129055X06002620 | null | hep-th | null | The fusion rings of Wess-Zumino-Witten models are re-examined. Attention is
drawn to the difference between fusion rings over Z (which are often of greater
importance in applications) and fusion algebras over C. Complete proofs are
given characterising the fusion algebras (over C) of the SU(r+1) and Sp(2r)
models in terms of the fusion potentials, and it is shown that the analagous
potentials cannot describe the fusion algebras of the other models. This
explains why no other representation-theoretic fusion potentials have been
found.
Instead, explicit generators are then constructed for general WZW fusion
rings (over Z). The Jacobi-Trudy identity and its Sp(2r) analogue are used to
derive the known fusion potentials. This formalism is then extended to the WZW
models over the spin groups of odd rank, and explicit presentations of the
corresponding fusion rings are given. The analogues of the Jacobi-Trudy
identity for the spinor representations (for all ranks) are derived for this
purpose, and may be of independent interest.
| [
{
"created": "Mon, 6 Feb 2006 18:53:33 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2006 15:34:34 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bouwknegt",
"Peter",
""
],
[
"Ridout",
"David",
""
]
] | The fusion rings of Wess-Zumino-Witten models are re-examined. Attention is drawn to the difference between fusion rings over Z (which are often of greater importance in applications) and fusion algebras over C. Complete proofs are given characterising the fusion algebras (over C) of the SU(r+1) and Sp(2r) models in terms of the fusion potentials, and it is shown that the analagous potentials cannot describe the fusion algebras of the other models. This explains why no other representation-theoretic fusion potentials have been found. Instead, explicit generators are then constructed for general WZW fusion rings (over Z). The Jacobi-Trudy identity and its Sp(2r) analogue are used to derive the known fusion potentials. This formalism is then extended to the WZW models over the spin groups of odd rank, and explicit presentations of the corresponding fusion rings are given. The analogues of the Jacobi-Trudy identity for the spinor representations (for all ranks) are derived for this purpose, and may be of independent interest. |
2311.11461 | Hongji Wei | Samuel E. Gralla and Hongji Wei | Decoherence from Horizons: General Formulation and Rotating Black Holes | 25 pages, 4 figures | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work by Danielson, Satishchandran, and Wald (DSW) has shown that black
holes -- and, in fact, Killing horizons more generally -- impart a fundamental
rate of decoherence on all nearby quantum superpositions. The effect can be
understood from measurement and causality: An observer (Bob) in the black hole
should be able to disturb outside quantum superpositions by measuring their
superposed gravitational fields, but since his actions cannot (by causality)
have this effect, the superpositions must automatically disturb themselves. DSW
calculated the rate of decoherence up to an unknown numerical factor for
distant observers in Schwarzschild spacetime, Rindler observers in flat
spacetime, and static observers in de Sitter spacetime. Working in
electromagnetic and Klein-Gordon analogs, we flesh out and generalize their
calculation to derive a general formula for the precise decoherence rate for
Killing observers near bifurcate Killing horizons. We evaluate the rate in
closed form for an observer at an arbitrary location on the symmetry axis of a
Kerr black hole. This fixes the numerical factor in the distant-observer
Schwarzschild result, while allowing new exploration of near-horizon and/or
near-extremal behavior. In the electromagnetic case we find that the
decoherence vanishes entirely in the extremal limit, due to the "Black hole
Meissner effect" screening the Coulomb field from entering the black hole. This
supports the causality picture: Since Bob is unable to measure the field of the
outside superposition, no decoherence is necessary -- and indeed none occurs.
| [
{
"created": "Sun, 19 Nov 2023 23:56:19 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Feb 2024 16:49:05 GMT",
"version": "v2"
}
] | 2024-02-20 | [
[
"Gralla",
"Samuel E.",
""
],
[
"Wei",
"Hongji",
""
]
] | Recent work by Danielson, Satishchandran, and Wald (DSW) has shown that black holes -- and, in fact, Killing horizons more generally -- impart a fundamental rate of decoherence on all nearby quantum superpositions. The effect can be understood from measurement and causality: An observer (Bob) in the black hole should be able to disturb outside quantum superpositions by measuring their superposed gravitational fields, but since his actions cannot (by causality) have this effect, the superpositions must automatically disturb themselves. DSW calculated the rate of decoherence up to an unknown numerical factor for distant observers in Schwarzschild spacetime, Rindler observers in flat spacetime, and static observers in de Sitter spacetime. Working in electromagnetic and Klein-Gordon analogs, we flesh out and generalize their calculation to derive a general formula for the precise decoherence rate for Killing observers near bifurcate Killing horizons. We evaluate the rate in closed form for an observer at an arbitrary location on the symmetry axis of a Kerr black hole. This fixes the numerical factor in the distant-observer Schwarzschild result, while allowing new exploration of near-horizon and/or near-extremal behavior. In the electromagnetic case we find that the decoherence vanishes entirely in the extremal limit, due to the "Black hole Meissner effect" screening the Coulomb field from entering the black hole. This supports the causality picture: Since Bob is unable to measure the field of the outside superposition, no decoherence is necessary -- and indeed none occurs. |
1703.08467 | Nick Houston | N. Houston | Supersymmetric, fermionic solutions in three-dimensional supergravity | 6 pages. Typo corrected, reference added, some points clarified | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Building upon known supersymmetric backgrounds, we derive novel half-BPS
fermionic solutions in three-dimensional supergravity. By virtue of an
essential dependence on fermionic degrees of freedom, they possess no purely
bosonic analogue. In the Anti de Sitter case this notably includes nonsingular
solutions for which the corresponding Chern-Simons gauge field
$\mathcal{A}=\omega\pm e/L$ vanishes, providing access to configurations which
are ordinarily singular in pure gravity.
| [
{
"created": "Fri, 24 Mar 2017 15:36:49 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Apr 2017 17:51:35 GMT",
"version": "v2"
}
] | 2017-04-14 | [
[
"Houston",
"N.",
""
]
] | Building upon known supersymmetric backgrounds, we derive novel half-BPS fermionic solutions in three-dimensional supergravity. By virtue of an essential dependence on fermionic degrees of freedom, they possess no purely bosonic analogue. In the Anti de Sitter case this notably includes nonsingular solutions for which the corresponding Chern-Simons gauge field $\mathcal{A}=\omega\pm e/L$ vanishes, providing access to configurations which are ordinarily singular in pure gravity. |
1810.05634 | Dario Francia | Dario Francia and Carlo Heissenberg | Two-Form Asymptotic Symmetries and Scalar Soft Theorems | 9 pages, Latex. Comments added addressing Referee's questions.
Matching published version | Phys. Rev. D 98, 105003 (2018) | 10.1103/PhysRevD.98.105003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the large gauge transformations of a two-form gauge field in
four-dimensional Minkowski space. Our goal is to establish a connection between
these asymptotic symmetries and the scalar soft theorems described by
Campiglia, Coito and Mizera whereas the soft scalar mode should be interpreted
in terms of its two-form dual counterpart.
| [
{
"created": "Fri, 12 Oct 2018 17:56:31 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2018 11:07:14 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Nov 2018 15:59:36 GMT",
"version": "v3"
}
] | 2018-11-09 | [
[
"Francia",
"Dario",
""
],
[
"Heissenberg",
"Carlo",
""
]
] | We investigate the large gauge transformations of a two-form gauge field in four-dimensional Minkowski space. Our goal is to establish a connection between these asymptotic symmetries and the scalar soft theorems described by Campiglia, Coito and Mizera whereas the soft scalar mode should be interpreted in terms of its two-form dual counterpart. |
1506.07068 | M. Hossein Dehghani | M. Kord Zangeneh, M. H. Dehghani and A. Sheykhi | Thermodynamics of Gauss-Bonnet-Dilaton Lifshitz Black Branes | 11 pages, version to be published in Phys. Rev. D | Phys. Rev. D 92, 064023 (2015) | 10.1103/PhysRevD.92.064023 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore an effective supergravity action in the presence of a massless
gauge field which contains the Gauss-Bonnet term as well as a dilaton field. We
construct a new class of black brane solutions of this theory with the Lifshitz
asymptotic by fixing the parameters of the model such that the asymptotic
Lifshitz behavior can be supported. Then we construct the well-defined finite
action through the use of the counterterm method. We also obtain two
independent constants along the radial coordinate by combining the equations of
motion. Calculations of these two constants at infinity through the use of the
large-$r$ behavior of the metric functions show that our solution respects the
no-hair theorem. Furthermore, we combine these two constants in order to get a
constant $C$ which is proportional to the energy of the black brane. We
calculate this constant at the horizon in terms of the temperature and entropy,
and at large-$r$ in terms of the geometrical mass. By calculating the value of
the energy density through the use of the counterterm method, we obtain the
relation between the energy density, the temperature, and the entropy. This
relation is the generalization of the well-known Smarr formula for AdS black
holes. Finally, we study the thermal stability of our black brane solution and
show that it is stable under thermal perturbations.
| [
{
"created": "Thu, 18 Jun 2015 16:10:27 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Sep 2015 12:48:25 GMT",
"version": "v2"
}
] | 2015-09-22 | [
[
"Zangeneh",
"M. Kord",
""
],
[
"Dehghani",
"M. H.",
""
],
[
"Sheykhi",
"A.",
""
]
] | We explore an effective supergravity action in the presence of a massless gauge field which contains the Gauss-Bonnet term as well as a dilaton field. We construct a new class of black brane solutions of this theory with the Lifshitz asymptotic by fixing the parameters of the model such that the asymptotic Lifshitz behavior can be supported. Then we construct the well-defined finite action through the use of the counterterm method. We also obtain two independent constants along the radial coordinate by combining the equations of motion. Calculations of these two constants at infinity through the use of the large-$r$ behavior of the metric functions show that our solution respects the no-hair theorem. Furthermore, we combine these two constants in order to get a constant $C$ which is proportional to the energy of the black brane. We calculate this constant at the horizon in terms of the temperature and entropy, and at large-$r$ in terms of the geometrical mass. By calculating the value of the energy density through the use of the counterterm method, we obtain the relation between the energy density, the temperature, and the entropy. This relation is the generalization of the well-known Smarr formula for AdS black holes. Finally, we study the thermal stability of our black brane solution and show that it is stable under thermal perturbations. |
hep-th/0511134 | Wen-Li Yang | Wen-Li Yang, Rafael I. Nepomechie and Yao-Zhong Zhang | Q-operator and T-Q relation from the fusion hierarchy | Latex file, 12 pages; V2, misprints corrected and references added | Phys.Lett. B633 (2006) 664-670 | 10.1016/j.physletb.2005.12.022 | null | hep-th | null | We propose that the Baxter $Q$-operator for the spin-1/2 XXZ quantum spin
chain is given by the $j\to \infty$ limit of the transfer matrix with spin-$j$
(i.e., $(2j+1)$-dimensional) auxiliary space. Applying this observation to the
open chain with general (nondiagonal) integrable boundary terms, we obtain from
the fusion hierarchy the $T$-$Q$ relation for {\it generic} values (i.e. not
roots of unity) of the bulk anisotropy parameter. We use this relation to
determine the Bethe Ansatz solution of the eigenvalues of the fundamental
transfer matrix. This approach is complementary to the one used recently to
solve the same model for the roots of unity case.
| [
{
"created": "Sat, 12 Nov 2005 00:43:02 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 00:33:15 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Yang",
"Wen-Li",
""
],
[
"Nepomechie",
"Rafael I.",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | We propose that the Baxter $Q$-operator for the spin-1/2 XXZ quantum spin chain is given by the $j\to \infty$ limit of the transfer matrix with spin-$j$ (i.e., $(2j+1)$-dimensional) auxiliary space. Applying this observation to the open chain with general (nondiagonal) integrable boundary terms, we obtain from the fusion hierarchy the $T$-$Q$ relation for {\it generic} values (i.e. not roots of unity) of the bulk anisotropy parameter. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. This approach is complementary to the one used recently to solve the same model for the roots of unity case. |
2404.03195 | Nikhil Monga | Cynthia Keeler, Nikhil Monga | On type-II Spacetimes and the Double Copy for Fluids Metrics | 23 pages with references and appendices | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In our previous paper (arXiv:2005.04242) we discussed type-D and type-N
fluid-dual spacetimes and provided their associated single copies in the
context of the Weyl double copy. In this work we extend our analysis to more
general fluids thereby requiring the application of the double copy picture to
type-II space-times. By combining our previous type-D and type-N fluids via
their associated stream functions we demonstrate an example of a viable type-II
double copy. Further we use an explicitly perturbative approach in the near
horizon expansion to generalize the type II double copy for the fluid-dual
space-times. We show a Maxwell spinor ansatz containing a heterogeneous
bi-spinor component is necessary to provide a viable type-II double copy at the
lowest order.
| [
{
"created": "Thu, 4 Apr 2024 04:34:37 GMT",
"version": "v1"
}
] | 2024-04-05 | [
[
"Keeler",
"Cynthia",
""
],
[
"Monga",
"Nikhil",
""
]
] | In our previous paper (arXiv:2005.04242) we discussed type-D and type-N fluid-dual spacetimes and provided their associated single copies in the context of the Weyl double copy. In this work we extend our analysis to more general fluids thereby requiring the application of the double copy picture to type-II space-times. By combining our previous type-D and type-N fluids via their associated stream functions we demonstrate an example of a viable type-II double copy. Further we use an explicitly perturbative approach in the near horizon expansion to generalize the type II double copy for the fluid-dual space-times. We show a Maxwell spinor ansatz containing a heterogeneous bi-spinor component is necessary to provide a viable type-II double copy at the lowest order. |
hep-th/0009073 | Kazakov K. | Kirill A. Kazakov | On the correspondence between the classical and quantum gravity | Latex 2.09, 3 ps. figures, 17 pages | Class.Quant.Grav. 18 (2001) 1039-1054 | 10.1088/0264-9381/18/6/306 | null | hep-th | null | The relationship between the classical and quantum theories of gravity is
reexamined. The value of the gravitational potential defined with the help of
the two-particle scattering amplitudes is shown to be in disagreement with the
classical result of General Relativity given by the Schwarzschild solution. It
is shown also that the potential so defined fails to describe whatever
non-Newtonian interactions of macroscopic bodies. An alternative interpretation
of the $\hbar^0$-order part of the loop corrections is given directly in terms
of the effective action. Gauge independence of that part of the one-loop
radiative corrections to the gravitational form factors of the scalar particle
is proved, justifying the interpretation proposed.
| [
{
"created": "Mon, 11 Sep 2000 10:09:58 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kazakov",
"Kirill A.",
""
]
] | The relationship between the classical and quantum theories of gravity is reexamined. The value of the gravitational potential defined with the help of the two-particle scattering amplitudes is shown to be in disagreement with the classical result of General Relativity given by the Schwarzschild solution. It is shown also that the potential so defined fails to describe whatever non-Newtonian interactions of macroscopic bodies. An alternative interpretation of the $\hbar^0$-order part of the loop corrections is given directly in terms of the effective action. Gauge independence of that part of the one-loop radiative corrections to the gravitational form factors of the scalar particle is proved, justifying the interpretation proposed. |
1707.03418 | Charles Melby-Thompson | Charles Melby-Thompson and Cornelius Schmidt-Colinet | Double Trace Interfaces | 59 pages, 2 figures | null | 10.1007/JHEP11(2017)110 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and study renormalization group interfaces between two
holographic conformal theories which are related by deformation by a scalar
double trace operator. At leading order in the 1/N expansion, we derive
expressions for the two point correlation functions of the scalar, as well as
the spectrum of operators living on the interface. We also compute the
interface contribution to the sphere partition function, which in two
dimensions gives the boundary g factor. Checks of our proposal include
reproducing the g factor and some defect overlap coefficients of Gaiotto's RG
interfaces at large N, and the two-point correlation function whenever
conformal perturbation theory is valid.
| [
{
"created": "Tue, 11 Jul 2017 18:09:47 GMT",
"version": "v1"
}
] | 2017-12-06 | [
[
"Melby-Thompson",
"Charles",
""
],
[
"Schmidt-Colinet",
"Cornelius",
""
]
] | We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two point correlation functions of the scalar, as well as the spectrum of operators living on the interface. We also compute the interface contribution to the sphere partition function, which in two dimensions gives the boundary g factor. Checks of our proposal include reproducing the g factor and some defect overlap coefficients of Gaiotto's RG interfaces at large N, and the two-point correlation function whenever conformal perturbation theory is valid. |
1606.02565 | Vasilisa Nikiforova | V. Nikiforova, S. Randjbar-Daemi, V. Rubakov | Self-accelerating Universe in modified gravity with dynamical torsion | null | Phys. Rev. D 95, 024013 (2017) | 10.1103/PhysRevD.95.024013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a model belonging to the class of gravities with dynamical
torsion. The model is free of ghosts and gradient instabilities about Minkowski
and torsionless Einstein backgrounds. We find that at zero cosmological
constant, the model admits a self-accelerating solution with non-Riemannian
connection. Small value of the effective cosmological constant is obtained at
the expense of the hierarchy between the dimensionless couplings.
| [
{
"created": "Wed, 8 Jun 2016 14:17:56 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Dec 2016 17:23:52 GMT",
"version": "v2"
}
] | 2017-10-19 | [
[
"Nikiforova",
"V.",
""
],
[
"Randjbar-Daemi",
"S.",
""
],
[
"Rubakov",
"V.",
""
]
] | We consider a model belonging to the class of gravities with dynamical torsion. The model is free of ghosts and gradient instabilities about Minkowski and torsionless Einstein backgrounds. We find that at zero cosmological constant, the model admits a self-accelerating solution with non-Riemannian connection. Small value of the effective cosmological constant is obtained at the expense of the hierarchy between the dimensionless couplings. |
1808.01671 | Robie Hennigar | Pablo Bueno, Pablo A. Cano, Robie A. Hennigar, Robert B. Mann | NUTs and bolts beyond Lovelock | 63 pages, 18 figures; v2: minor improvements to discussion, updated
references | null | 10.1007/JHEP10(2018)095 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of
several four- and six-dimensional higher-curvature theories of gravity with
various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic
gravity, for which we construct solutions with
$\mathcal{B}=\mathbb{S}^2,\mathbb{T}^2$. These represent the first
generalizations of the Einstein gravity Taub-NUT/bolt solutions for any
higher-curvature theory in four dimensions. In $D=6$, we show that no new
solutions are allowed for any Generalized quasi-topological gravity at cubic
order. They exist however when we consider quartic Quasi-topological and
Generalized quasi-topological terms, for which we construct new solutions with
$\mathcal{B}=\mathbb{CP}^2,\mathbb{S}^2\times\mathbb{S}^2,\mathbb{S}^2\times\mathbb{T}^2,\mathbb{T}^2\times\mathbb{T}^2$.
In all cases, the solutions are characterized by a single metric function, and
they reduce to the corresponding ones in Einstein gravity when the
higher-curvature couplings are set to zero. While the explicit profiles must be
constructed numerically (except for a few cases), we obtain fully analytic
expressions for the thermodynamic properties of all solutions. The new
solutions present important differences with respect to Einstein gravity,
including regular bolts for arbitrary values of the NUT charge, critical
points, and re-entrant phase transitions.
| [
{
"created": "Sun, 5 Aug 2018 18:52:52 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Aug 2018 03:26:36 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Bueno",
"Pablo",
""
],
[
"Cano",
"Pablo A.",
""
],
[
"Hennigar",
"Robie A.",
""
],
[
"Mann",
"Robert B.",
""
]
] | We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several four- and six-dimensional higher-curvature theories of gravity with various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic gravity, for which we construct solutions with $\mathcal{B}=\mathbb{S}^2,\mathbb{T}^2$. These represent the first generalizations of the Einstein gravity Taub-NUT/bolt solutions for any higher-curvature theory in four dimensions. In $D=6$, we show that no new solutions are allowed for any Generalized quasi-topological gravity at cubic order. They exist however when we consider quartic Quasi-topological and Generalized quasi-topological terms, for which we construct new solutions with $\mathcal{B}=\mathbb{CP}^2,\mathbb{S}^2\times\mathbb{S}^2,\mathbb{S}^2\times\mathbb{T}^2,\mathbb{T}^2\times\mathbb{T}^2$. In all cases, the solutions are characterized by a single metric function, and they reduce to the corresponding ones in Einstein gravity when the higher-curvature couplings are set to zero. While the explicit profiles must be constructed numerically (except for a few cases), we obtain fully analytic expressions for the thermodynamic properties of all solutions. The new solutions present important differences with respect to Einstein gravity, including regular bolts for arbitrary values of the NUT charge, critical points, and re-entrant phase transitions. |
hep-th/9307021 | Dr M. Manas | Francisco Guil and Manuel Ma\~nas | Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations | 14 pages in LaTeX, LaTeXable version | J.Math.Phys.35:2902-2913,1994 | 10.1063/1.530493 | null | hep-th nlin.SI solv-int | null | The relation between two--dimensional integrable systems and
four--dimen\-sional self--dual Yang--Mills equations is considered. Within the
twistor description and the zero--curvature representation a method is given to
associate self--dual Yang-Mills connections with integrable systems of the
Korteweg--de Vries and non--linear Schr\"odinger type or principal chiral
models.
Examples of self--dual connections are constructed that as points in the
moduli do not have two independent conformal symmetries.
| [
{
"created": "Sun, 4 Jul 1993 18:05:15 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 1993 23:45:08 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Guil",
"Francisco",
""
],
[
"Mañas",
"Manuel",
""
]
] | The relation between two--dimensional integrable systems and four--dimen\-sional self--dual Yang--Mills equations is considered. Within the twistor description and the zero--curvature representation a method is given to associate self--dual Yang-Mills connections with integrable systems of the Korteweg--de Vries and non--linear Schr\"odinger type or principal chiral models. Examples of self--dual connections are constructed that as points in the moduli do not have two independent conformal symmetries. |
0911.1099 | Guglielmo Fucci Dr. | Guglielmo Fucci and Ivan G. Avramidi | On the Gravitationally Induced Schwinger Mechanism | 7 pages, LaTeX file. To appear in the proceedings of the Conference
"QFEXT09: Quantum Field Theory Under the Influence of External Conditions",
Norman OK, September 21 - September 25, 2009 | null | 10.1142/9789814289931_0061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we will present very recent results obtained in the ambit of
quantum electrodynamics in curved spacetime. We utilize a newly developed
non-perturbative heat kernel asymptotic expansion on homogeneous Abelian
bundles over Riemannian manifolds in order to compute the one-loop effective
action for scalar and spinor fields in curved spacetime under the influence of
a strong covariantly constant electromagnetic field. In this framework we
derived, in particular, the gravitational corrections, up to linear terms in
Riemannian curvature, to Schwinger's result for the creation of particles in a
strong electric field.
| [
{
"created": "Thu, 5 Nov 2009 18:48:38 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Fucci",
"Guglielmo",
""
],
[
"Avramidi",
"Ivan G.",
""
]
] | In this paper we will present very recent results obtained in the ambit of quantum electrodynamics in curved spacetime. We utilize a newly developed non-perturbative heat kernel asymptotic expansion on homogeneous Abelian bundles over Riemannian manifolds in order to compute the one-loop effective action for scalar and spinor fields in curved spacetime under the influence of a strong covariantly constant electromagnetic field. In this framework we derived, in particular, the gravitational corrections, up to linear terms in Riemannian curvature, to Schwinger's result for the creation of particles in a strong electric field. |
hep-th/0106118 | Solange Odile Saliu | C. Bizdadea, S. O. Saliu | Lagrangian Sp(3) BRST symmetry for Yang-Mills theory | 8 pages, LaTeX 2e | Mod.Phys.Lett. A17 (2002) 269-278 | 10.1142/S0217732302006564 | null | hep-th | null | The Sp(3) BRST symmetry for Yang-Mills theory is derived in the framework of
the antibracket-antifield formalism.
| [
{
"created": "Thu, 14 Jun 2001 08:10:51 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bizdadea",
"C.",
""
],
[
"Saliu",
"S. O.",
""
]
] | The Sp(3) BRST symmetry for Yang-Mills theory is derived in the framework of the antibracket-antifield formalism. |
1907.11448 | Hrachya Khachatryan | Hrachya Khachatryan | Higher Derivative Gauge theory in $d=6$ and the
$\mathbb{C}\mathbb{P}^{(N_f-1)}$ NLSM | 30 pages, v2: few typos corrected , references added | null | 10.1007/JHEP12(2019)144 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the $\mathbb{C}\mathbb{P}^{(N_f-1)}$ Non-Linear-Sigma-Model in
the dimension $4<d<6$. The critical behaviour of this model in the large $N_f$
limit is reviewed. We propose a Higher Derivative Gauge (HDG) theory as an
ultraviolet completion of the $\mathbb{C}\mathbb{P}^{(N_f-1)}$ NLSM. Tuning
mass operators to zero, the HDG in the IR limit reaches to the critical
$\mathbb{C}\mathbb{P}^{(N_f-1)}$. With partial tunings the HDG reaches either
to the critical $U(N_f)$-Yukawa model or to the critical pure scalar QED (no
Yukawa interactions).
We renormalize the HDG in its critical dimension $d=6$. We study the fixed
points of the HDG in $d=6-2\epsilon$ and we calculate the scaling dimensions of
various observables finding a full agreement with the order $O(1/N_f)$
predictions of the corresponding critical models.
| [
{
"created": "Fri, 26 Jul 2019 09:18:14 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Aug 2019 16:44:27 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Khachatryan",
"Hrachya",
""
]
] | We consider the $\mathbb{C}\mathbb{P}^{(N_f-1)}$ Non-Linear-Sigma-Model in the dimension $4<d<6$. The critical behaviour of this model in the large $N_f$ limit is reviewed. We propose a Higher Derivative Gauge (HDG) theory as an ultraviolet completion of the $\mathbb{C}\mathbb{P}^{(N_f-1)}$ NLSM. Tuning mass operators to zero, the HDG in the IR limit reaches to the critical $\mathbb{C}\mathbb{P}^{(N_f-1)}$. With partial tunings the HDG reaches either to the critical $U(N_f)$-Yukawa model or to the critical pure scalar QED (no Yukawa interactions). We renormalize the HDG in its critical dimension $d=6$. We study the fixed points of the HDG in $d=6-2\epsilon$ and we calculate the scaling dimensions of various observables finding a full agreement with the order $O(1/N_f)$ predictions of the corresponding critical models. |
2210.11585 | Ibrahim Shehzad | Eanna E. Flanagan and Ibrahim Shehzad | The classical dynamics of gauge theories in the deep infrared | v3: 46 pages + 25 pages appendices and references, more details and
new calculations added to section 6 and appendix A to clarify the nature of
soft-hard coupling, references added, version to appear in JHEP | null | 10.1007/JHEP05(2023)185 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Gauge and gravitational theories in asymptotically flat settings possess
infinitely many conserved charges associated with large gauge transformations
or diffeomorphisms that are nontrivial at infinity. To what extent do these
charges constrain the scattering in these theories? It has been claimed in the
literature that the constraints are trivial, due to a decoupling of hard and
soft sectors for which the conserved charges constrain only the dynamics in the
soft sector. We show that the argument for this decoupling fails due to the
failure in infinite dimensions of a property of symplectic geometry which holds
in finite dimensions. Specializing to electromagnetism coupled to a massless
charged scalar field in four dimensional Minkowski spacetime, we show
explicitly that the two sectors are always coupled using a perturbative
classical computation of the scattering map. Specifically, while the two
sectors are uncoupled at low orders, they are coupled at quartic order via the
electromagnetic memory effect. This coupling cannot be removed by adjusting the
definitions of the hard and soft sectors (which includes the classical analog
of dressing the hard degrees of freedom). We conclude that the conserved
charges yield nontrivial constraints on the scattering of hard degrees of
freedom. This conclusion should also apply to gravitational scattering and to
black hole formation and evaporation.
In developing the classical scattering theory, we show that generic Lorenz
gauge solutions fail to satisfy the matching condition on the vector potential
at spatial infinity proposed by Strominger to define the field configuration
space, and we suggest a way to remedy this. We also show that when soft degrees
of freedom are present, the order at which nonlinearities first arise in the
scattering map is second order in Lorenz gauge, but can be third order in other
gauges.
| [
{
"created": "Thu, 20 Oct 2022 20:56:25 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2023 18:08:45 GMT",
"version": "v2"
},
{
"created": "Thu, 18 May 2023 16:04:14 GMT",
"version": "v3"
}
] | 2023-05-26 | [
[
"Flanagan",
"Eanna E.",
""
],
[
"Shehzad",
"Ibrahim",
""
]
] | Gauge and gravitational theories in asymptotically flat settings possess infinitely many conserved charges associated with large gauge transformations or diffeomorphisms that are nontrivial at infinity. To what extent do these charges constrain the scattering in these theories? It has been claimed in the literature that the constraints are trivial, due to a decoupling of hard and soft sectors for which the conserved charges constrain only the dynamics in the soft sector. We show that the argument for this decoupling fails due to the failure in infinite dimensions of a property of symplectic geometry which holds in finite dimensions. Specializing to electromagnetism coupled to a massless charged scalar field in four dimensional Minkowski spacetime, we show explicitly that the two sectors are always coupled using a perturbative classical computation of the scattering map. Specifically, while the two sectors are uncoupled at low orders, they are coupled at quartic order via the electromagnetic memory effect. This coupling cannot be removed by adjusting the definitions of the hard and soft sectors (which includes the classical analog of dressing the hard degrees of freedom). We conclude that the conserved charges yield nontrivial constraints on the scattering of hard degrees of freedom. This conclusion should also apply to gravitational scattering and to black hole formation and evaporation. In developing the classical scattering theory, we show that generic Lorenz gauge solutions fail to satisfy the matching condition on the vector potential at spatial infinity proposed by Strominger to define the field configuration space, and we suggest a way to remedy this. We also show that when soft degrees of freedom are present, the order at which nonlinearities first arise in the scattering map is second order in Lorenz gauge, but can be third order in other gauges. |
0903.2620 | Ding-Fang Zeng | Ding-fang Zeng | An Exact Hairy Black Hole Solution for AdS/CFT Superconductors | add new references, correct some typos, revise one errors in the
numerical calculation of conductivities | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an exact hairy black hole solution to an $n+1$ dimensional complex
scalar field model coupled with gravity. The model is characterized by a
potential with one parameter. Depending on the magnitude of this parameter, the
effective mass square of the scalar field can be both positive and negative. No
matter what case it is, there are temperature ranges in which the hairy black
hole is thermodynamically stable against decaying into its no-hair counterpart.
We use this solution as an AdS/CFT superconductor model and study its
conductivity-frequency relation and find typical features observed in other
AdS/CFT superconductor models.
| [
{
"created": "Sun, 15 Mar 2009 10:04:04 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Aug 2009 16:20:28 GMT",
"version": "v2"
}
] | 2009-08-30 | [
[
"Zeng",
"Ding-fang",
""
]
] | We provide an exact hairy black hole solution to an $n+1$ dimensional complex scalar field model coupled with gravity. The model is characterized by a potential with one parameter. Depending on the magnitude of this parameter, the effective mass square of the scalar field can be both positive and negative. No matter what case it is, there are temperature ranges in which the hairy black hole is thermodynamically stable against decaying into its no-hair counterpart. We use this solution as an AdS/CFT superconductor model and study its conductivity-frequency relation and find typical features observed in other AdS/CFT superconductor models. |
1805.03034 | Tamas Gombor | Tamas Gombor | New boundary monodromy matrices for classical sigma models | 36 pages, the Poisson structure is developed | null | 10.1016/j.nuclphysb.2020.114949 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The 2d principal models without boundaries have $G\times G$ symmetry. The
already known integrable boundaries have either $H\times H$ or $G_{D}$
symmetries, where $H$ is such a subgroup of $G$ for which $G/H$ is a symmetric
space while $G_{D}$ is the diagonal subgroup of $G\times G$. These boundary
conditions have a common feature: they do not contain free parameters. We have
found new integrable boundary conditions for which the remaining symmetry
groups are either $G\times H$ or $H\times G$ and they contain one free
parameter. The related boundary monodromy matrices are also described.
| [
{
"created": "Tue, 8 May 2018 14:04:00 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2019 15:42:07 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Sep 2019 09:55:36 GMT",
"version": "v3"
}
] | 2021-05-10 | [
[
"Gombor",
"Tamas",
""
]
] | The 2d principal models without boundaries have $G\times G$ symmetry. The already known integrable boundaries have either $H\times H$ or $G_{D}$ symmetries, where $H$ is such a subgroup of $G$ for which $G/H$ is a symmetric space while $G_{D}$ is the diagonal subgroup of $G\times G$. These boundary conditions have a common feature: they do not contain free parameters. We have found new integrable boundary conditions for which the remaining symmetry groups are either $G\times H$ or $H\times G$ and they contain one free parameter. The related boundary monodromy matrices are also described. |
1711.09122 | Partouche Herve | Thibaut Coudarchet, Claude Fleming and Herve Partouche | Quantum no-scale regimes in string theory | 26+1 pages, 3 figures | Nucl. Phys. B930 (2018) 235-254 | 10.1016/j.nuclphysb.2018.03.002 | CPHT-RR087.112017 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in generic no-scale models in string theory, the flat, expanding
cosmological evolutions found at the quantum level can be attracted to a
"quantum no-scale regime", where the no-scale structure is restored
asymptotically. In this regime, the quantum effective potential is dominated by
the classical kinetic energies of the no-scale modulus and dilaton. We find
that this natural preservation of the classical no-scale structure at the
quantum level occurs when the initial conditions of the evolutions sit in a
subcritical region of their space. On the contrary, supercritical initial
conditions yield solutions that have no analogue at the classical level. The
associated intrinsically quantum universes are sentenced to collapse and their
histories last finite cosmic times. Our analysis is done at 1-loop, in
perturbative heterotic string compactified on tori, with spontaneous
supersymmetry breaking implemented by a stringy version of the Scherk-Schwarz
mechanism.
| [
{
"created": "Fri, 24 Nov 2017 19:58:11 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2018 11:37:55 GMT",
"version": "v2"
}
] | 2018-04-18 | [
[
"Coudarchet",
"Thibaut",
""
],
[
"Fleming",
"Claude",
""
],
[
"Partouche",
"Herve",
""
]
] | We show that in generic no-scale models in string theory, the flat, expanding cosmological evolutions found at the quantum level can be attracted to a "quantum no-scale regime", where the no-scale structure is restored asymptotically. In this regime, the quantum effective potential is dominated by the classical kinetic energies of the no-scale modulus and dilaton. We find that this natural preservation of the classical no-scale structure at the quantum level occurs when the initial conditions of the evolutions sit in a subcritical region of their space. On the contrary, supercritical initial conditions yield solutions that have no analogue at the classical level. The associated intrinsically quantum universes are sentenced to collapse and their histories last finite cosmic times. Our analysis is done at 1-loop, in perturbative heterotic string compactified on tori, with spontaneous supersymmetry breaking implemented by a stringy version of the Scherk-Schwarz mechanism. |
0705.2140 | Vasilis Niarchos | Dan Israel and Vasilis Niarchos | Tree-Level Stability Without Spacetime Fermions: Novel Examples in
String Theory | harvmac, 29 pages; v2 minor changes, version to appear in JHEP | JHEP 0707:065,2007 | 10.1088/1126-6708/2007/07/065 | null | hep-th | null | Is perturbative stability intimately tied with the existence of spacetime
fermions in string theory in more than two dimensions? Type 0'B string theory
in ten-dimensional flat space is a rare example of a non-tachyonic,
non-supersymmetric string theory with a purely bosonic closed string spectrum.
However, all known type 0' constructions exhibit massless NSNS tadpoles
signaling the fact that we are not expanding around a true vacuum of the
theory. In this note, we are searching for perturbatively stable examples of
type 0' string theory without massless tadpoles in backgrounds with a spatially
varying dilaton. We present two examples with this property in non-critical
string theories that exhibit four- and six-dimensional Poincare invariance. We
discuss the D-branes that can be embedded in this context and the type of gauge
theories that can be constructed in this manner. We also comment on the
embedding of these non-critical models in critical string theories and their
holographic (Little String Theory) interpretation and propose a general
conjecture for the role of asymptotic supersymmetry in perturbative string
theory.
| [
{
"created": "Tue, 15 May 2007 16:03:59 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Jul 2007 15:36:42 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Israel",
"Dan",
""
],
[
"Niarchos",
"Vasilis",
""
]
] | Is perturbative stability intimately tied with the existence of spacetime fermions in string theory in more than two dimensions? Type 0'B string theory in ten-dimensional flat space is a rare example of a non-tachyonic, non-supersymmetric string theory with a purely bosonic closed string spectrum. However, all known type 0' constructions exhibit massless NSNS tadpoles signaling the fact that we are not expanding around a true vacuum of the theory. In this note, we are searching for perturbatively stable examples of type 0' string theory without massless tadpoles in backgrounds with a spatially varying dilaton. We present two examples with this property in non-critical string theories that exhibit four- and six-dimensional Poincare invariance. We discuss the D-branes that can be embedded in this context and the type of gauge theories that can be constructed in this manner. We also comment on the embedding of these non-critical models in critical string theories and their holographic (Little String Theory) interpretation and propose a general conjecture for the role of asymptotic supersymmetry in perturbative string theory. |
1902.03790 | Sofian Teber | A. V. Kotikov and S. Teber | Addendum to "Critical behaviour of ($2+1$)-dimensional QED:
$1/N_f$-corrections in an arbitrary non-local gauge" | (v2) 3+epsilon pages, published in PRD, 2 references added, no change
in results (v1) 3 pages, no figure. addendum to arXiv:1609.06912 | Phys. Rev. D 99, 059902 (2019) | 10.1103/PhysRevD.99.059902 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dynamical chiral symmetry breaking (D$\chi$SB) is studied within
($2+1$)-dimensional QED with $N$ four-component fermions. The leading and
next-to-leading orders of the $N$ expansion were computed exactly in
Refs.~[\onlinecite{Gusynin:2016som,Kotikov:2016prf}] in an arbitrary non-local
gauge. In this addendum to [\onlinecite{Kotikov:2016prf}], we show that the
resummation of the wave-function renormalization constant at the level of the
gap equation yields a {\it complete} cancellation of the gauge dependence of
the critical fermion flavour number resulting in: $N_c= 2.8469$, which is such
that D$\chi$SB takes place for $N<N_c$. The result is in full agreement with
one of Ref.~[\onlinecite{Gusynin:2016som}].
| [
{
"created": "Mon, 11 Feb 2019 09:41:22 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2019 10:35:04 GMT",
"version": "v2"
}
] | 2019-03-13 | [
[
"Kotikov",
"A. V.",
""
],
[
"Teber",
"S.",
""
]
] | Dynamical chiral symmetry breaking (D$\chi$SB) is studied within ($2+1$)-dimensional QED with $N$ four-component fermions. The leading and next-to-leading orders of the $N$ expansion were computed exactly in Refs.~[\onlinecite{Gusynin:2016som,Kotikov:2016prf}] in an arbitrary non-local gauge. In this addendum to [\onlinecite{Kotikov:2016prf}], we show that the resummation of the wave-function renormalization constant at the level of the gap equation yields a {\it complete} cancellation of the gauge dependence of the critical fermion flavour number resulting in: $N_c= 2.8469$, which is such that D$\chi$SB takes place for $N<N_c$. The result is in full agreement with one of Ref.~[\onlinecite{Gusynin:2016som}]. |
1703.00915 | Koji Umemoto | Yuya Kusuki, Tadashi Takayanagi, Koji Umemoto | Holographic Entanglement Entropy on Generic Time Slices | 19 pages, 8 figures, latex, v2:comments added, published version | null | 10.1007/JHEP06(2017)021 | YITP-17-21, IPMU17-0038 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic entanglement entropy and mutual information for
Lorentz boosted subsystems. In holographic CFTs at zero and finite temperature,
we find that the mutual information gets divergent in a universal way when the
end points of two subsystems are light-like separated. In Lifshitz and
hyperscaling violating geometries dual to non-relativistic theories, we show
that the holographic entanglement entropy is not well-defined for Lorentz
boosted subsystems in general. This strongly suggests that in non-relativistic
theories, we cannot make a real space factorization of the Hilbert space on a
generic time slice except the constant time slice, as opposed to relativistic
field theories.
| [
{
"created": "Thu, 2 Mar 2017 19:00:17 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2017 08:21:57 GMT",
"version": "v2"
}
] | 2017-11-15 | [
[
"Kusuki",
"Yuya",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Umemoto",
"Koji",
""
]
] | We study the holographic entanglement entropy and mutual information for Lorentz boosted subsystems. In holographic CFTs at zero and finite temperature, we find that the mutual information gets divergent in a universal way when the end points of two subsystems are light-like separated. In Lifshitz and hyperscaling violating geometries dual to non-relativistic theories, we show that the holographic entanglement entropy is not well-defined for Lorentz boosted subsystems in general. This strongly suggests that in non-relativistic theories, we cannot make a real space factorization of the Hilbert space on a generic time slice except the constant time slice, as opposed to relativistic field theories. |
hep-th/9505179 | Dr. Steven Duplij Physik | Steven Duplij | SOME ABSTRACT PROPERTIES OF SEMIGROUPS APPEARING IN SUPERCONFORMAL
THEORIES | 11 pages | SemigroupForum54:253-260,1997 | 10.1007/BF02676606 | KL-TH-95/11 | hep-th | null | A new type of semigroups which appears while dealing with $N=1$
superconformal symmetry in superstring theories is considered. The ideal series
having unusual abstract properties is constructed. Various idealisers are
introduced and studied. The ideal quasicharacter is defined. Green's relations
are found and their connection with the ideal quasicharacter is established.
| [
{
"created": "Tue, 30 May 1995 10:43:00 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Duplij",
"Steven",
""
]
] | A new type of semigroups which appears while dealing with $N=1$ superconformal symmetry in superstring theories is considered. The ideal series having unusual abstract properties is constructed. Various idealisers are introduced and studied. The ideal quasicharacter is defined. Green's relations are found and their connection with the ideal quasicharacter is established. |
1206.6296 | Joao Magueijo | Stephon Alexander, Joao Magueijo and Antonino Marciano | Horava-Lifshitz theory as a Fermionic Aether in Ashtekar gravity | null | null | 10.1103/PhysRevD.86.064025 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how Ho\v{r}ava-Lifshitz (HL) theory appears naturally in the Ashtekar
formulation of relativity if one postulates the existence of a fermionic field
playing the role of aether. The spatial currents associated with this field
must be switched off for the equivalence to work. Therefore the field supplies
the preferred frame associated with breaking refoliation (time diffeomorphism)
invariance, but obviously the symmetry is only spontaneously broken if the
field is dynamic. When Dirac fermions couple to the gravitational field via the
Ashtekar variables, the low energy limit of HL gravity, recast in the language
of Ashtekar variables, naturally emerges (provided the spatial fermion current
identically vanishes). HL gravity can therefore be interpreted as a time-like
current, or a Fermi aether, that fills space-time, with the Immirzi parameter,
a chiral fermionic coupling, and the fermionic charge density fixing the value
of the parameter $\lambda$ determining HL theory. This reinterpretation sheds
light on some features of HL theory, namely its good convergence properties.
| [
{
"created": "Wed, 27 Jun 2012 15:07:14 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Alexander",
"Stephon",
""
],
[
"Magueijo",
"Joao",
""
],
[
"Marciano",
"Antonino",
""
]
] | We show how Ho\v{r}ava-Lifshitz (HL) theory appears naturally in the Ashtekar formulation of relativity if one postulates the existence of a fermionic field playing the role of aether. The spatial currents associated with this field must be switched off for the equivalence to work. Therefore the field supplies the preferred frame associated with breaking refoliation (time diffeomorphism) invariance, but obviously the symmetry is only spontaneously broken if the field is dynamic. When Dirac fermions couple to the gravitational field via the Ashtekar variables, the low energy limit of HL gravity, recast in the language of Ashtekar variables, naturally emerges (provided the spatial fermion current identically vanishes). HL gravity can therefore be interpreted as a time-like current, or a Fermi aether, that fills space-time, with the Immirzi parameter, a chiral fermionic coupling, and the fermionic charge density fixing the value of the parameter $\lambda$ determining HL theory. This reinterpretation sheds light on some features of HL theory, namely its good convergence properties. |
hep-th/9707143 | null | H.P. Nilles, M. Olechowski and M. Yamaguchi | Supersymmetry Breaking and Soft Terms in M-Theory | 9 pages, latex, no figures | Phys.Lett. B415 (1997) 24-30 | 10.1016/S0370-2693(97)01212-4 | TUM-HEP-282/97, SFB-375/201 | hep-th hep-ph | null | We investigate gaugino condensation in the framework of the strongly coupled
heterotic $E_8 \times E_8$ string (M--theory). Supersymmetry is broken in a
hidden sector and gravitational interactions induce soft breaking parameters in
the observable sector. The resulting soft masses are of order of the gravitino
mass. The situation is similar to that in the weakly coupled $E_8 \times E_8$
theory with one important difference: we avoid the problem of small gaugino
masses which are now comparable to the gravitino mass.
| [
{
"created": "Wed, 16 Jul 1997 12:54:10 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Nilles",
"H. P.",
""
],
[
"Olechowski",
"M.",
""
],
[
"Yamaguchi",
"M.",
""
]
] | We investigate gaugino condensation in the framework of the strongly coupled heterotic $E_8 \times E_8$ string (M--theory). Supersymmetry is broken in a hidden sector and gravitational interactions induce soft breaking parameters in the observable sector. The resulting soft masses are of order of the gravitino mass. The situation is similar to that in the weakly coupled $E_8 \times E_8$ theory with one important difference: we avoid the problem of small gaugino masses which are now comparable to the gravitino mass. |
2007.15603 | I\~naki Garc\'ia Etxebarria | Michele Del Zotto, I\~naki Garc\'ia Etxebarria, Saghar S. Hosseini | Higher Form Symmetries of Argyres-Douglas Theories | 22 pages | null | 10.1007/JHEP10(2020)056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the structure of 1-form symmetries for all 4d $\mathcal{N} = 2$
theories that have a geometric engineering in terms of type IIB string theory
on isolated hypersurface singularities. This is a large class of models, that
includes Argyres-Douglas theories and many others. Despite the lack of known
gauge theory descriptions for most such theories, we find that the spectrum of
1-form symmetries can be obtained via a careful analysis of the non-commutative
behaviour of RR fluxes at infinity in the IIB setup. The final result admits a
very compact field theoretical reformulation in terms of the BPS quiver. We
illustrate our methods in detail in the case of the $(\mathfrak{g},
\mathfrak{g}')$ Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In
those cases where $\mathcal{N} = 1$ gauge theory descriptions have been
proposed for theories within this class, we find agreement between the 1-form
symmetries of such $\mathcal{N} = 1$ Lagrangian flows and those of the actual
Argyres-Douglas fixed points, thus giving a consistency check for these
proposals.
| [
{
"created": "Thu, 30 Jul 2020 17:17:12 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"Del Zotto",
"Michele",
""
],
[
"Etxebarria",
"Iñaki García",
""
],
[
"Hosseini",
"Saghar S.",
""
]
] | We determine the structure of 1-form symmetries for all 4d $\mathcal{N} = 2$ theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that includes Argyres-Douglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1-form symmetries can be obtained via a careful analysis of the non-commutative behaviour of RR fluxes at infinity in the IIB setup. The final result admits a very compact field theoretical reformulation in terms of the BPS quiver. We illustrate our methods in detail in the case of the $(\mathfrak{g}, \mathfrak{g}')$ Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In those cases where $\mathcal{N} = 1$ gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1-form symmetries of such $\mathcal{N} = 1$ Lagrangian flows and those of the actual Argyres-Douglas fixed points, thus giving a consistency check for these proposals. |
hep-th/0512196 | Pablo Minces | Estanislao Herscovich, Pablo Minces, Carmen Nunez | Winding Strings in AdS_3 | 35 pages. v2. Important additions: one more author, complete results
for the 3-point function with two w=1 states and new section with computation
of 4-point function with one w=1 state. Acknowledgments and references
modified | JHEP 0606:047,2006 | 10.1088/1126-6708/2006/06/047 | null | hep-th | null | Correlation functions of one unit spectral flowed states in string theory on
AdS_3 are considered. We present the modified Knizhnik-Zamolodchikov and null
vector equations to be satisfied by amplitudes containing states in winding
sector one and study their solution corresponding to the four point function
including one w=1 field. We compute the three point function involving two one
unit spectral flowed operators and find expressions for amplitudes of three w=1
states satisfying certain particular relations among the spins of the fields.
Several consistency checks are performed.
| [
{
"created": "Thu, 15 Dec 2005 20:35:28 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 20:33:10 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Herscovich",
"Estanislao",
""
],
[
"Minces",
"Pablo",
""
],
[
"Nunez",
"Carmen",
""
]
] | Correlation functions of one unit spectral flowed states in string theory on AdS_3 are considered. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by amplitudes containing states in winding sector one and study their solution corresponding to the four point function including one w=1 field. We compute the three point function involving two one unit spectral flowed operators and find expressions for amplitudes of three w=1 states satisfying certain particular relations among the spins of the fields. Several consistency checks are performed. |
hep-th/9906194 | Steven Gubser | D.Z. Freedman, S.S. Gubser, K. Pilch, and N.P. Warner | Continuous distributions of D3-branes and gauged supergravity | 19 pages, two figures, latex. v2: reference added, small corrections.
v3: corrected unbounded spectrum error | JHEP 0007:038,2000 | 10.1088/1126-6708/2000/07/038 | CERN-TH/99-189, HUTP-99/A029, MIT-CTP-2877, USC-99/03 | hep-th | null | States on the Coulomb branch of N=4 super-Yang-Mills theory are studied from
the point of view of gauged supergravity in five dimensions. These
supersymmetric solutions provide examples of consistent truncation from type
IIB supergravity in ten dimensions. A mass gap for states created by local
operators and perfect screening for external quarks arise in the supergravity
approximation. We offer an interpretation of these surprising features in terms
of ensembles of brane distributions.
| [
{
"created": "Thu, 24 Jun 1999 22:41:17 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Aug 1999 17:43:18 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jun 2000 18:48:30 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Freedman",
"D. Z.",
""
],
[
"Gubser",
"S. S.",
""
],
[
"Pilch",
"K.",
""
],
[
"Warner",
"N. P.",
""
]
] | States on the Coulomb branch of N=4 super-Yang-Mills theory are studied from the point of view of gauged supergravity in five dimensions. These supersymmetric solutions provide examples of consistent truncation from type IIB supergravity in ten dimensions. A mass gap for states created by local operators and perfect screening for external quarks arise in the supergravity approximation. We offer an interpretation of these surprising features in terms of ensembles of brane distributions. |
1012.1122 | Alberto Lerda | Hossein Ghorbani, Daniele Musso, Alberto Lerda | Stringy instanton effects in N=2 gauge theories | 31 pages, 1 figure, PdfLaTeX | JHEP 1103:052,2011 | 10.1007/JHEP03(2011)052 | DFTT-24-2010 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-perturbative effects induced by stringy instantons on N=2
SU}(N) gauge theories in four dimensions, realized on fractional D3 branes in a
C^3/Z_3 orientifold. The stringy instantons, corresponding to D(-1) branes that
occupy a node of the orientifold quiver diagram where no D3 brane is present,
have the right content of zero-modes to produce non-perturbative terms in the
four-dimensional effective action. In the SU(2) theory these terms have the
same structure for all instanton numbers and yield a series of non-perturbative
corrections to the prepotential. We explicitly compute these corrections up to
instanton number k=5 using localization methods.
| [
{
"created": "Mon, 6 Dec 2010 10:39:45 GMT",
"version": "v1"
}
] | 2015-03-17 | [
[
"Ghorbani",
"Hossein",
""
],
[
"Musso",
"Daniele",
""
],
[
"Lerda",
"Alberto",
""
]
] | We study the non-perturbative effects induced by stringy instantons on N=2 SU}(N) gauge theories in four dimensions, realized on fractional D3 branes in a C^3/Z_3 orientifold. The stringy instantons, corresponding to D(-1) branes that occupy a node of the orientifold quiver diagram where no D3 brane is present, have the right content of zero-modes to produce non-perturbative terms in the four-dimensional effective action. In the SU(2) theory these terms have the same structure for all instanton numbers and yield a series of non-perturbative corrections to the prepotential. We explicitly compute these corrections up to instanton number k=5 using localization methods. |
2304.01924 | Martin Lagares | Diego H. Correa, Victor I. Giraldo-Rivera and Mart\'in Lagares | Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp
anomalous dimension | 44 pages, 2 figures; v2: clarifications added and typos corrected.
Version to appear in JHEP | null | 10.1007/JHEP06(2023)179 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the integrability properties of Wilson loops in the ${\cal N}=6$
three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the
construction of an open spin chain that describes the anomalous dimensions of
operators inserted along the contour of a 1/2 BPS Wilson loop. Moreover, we
compute the all-loop reflection matrices that govern the interaction of
spin-chain excitations with the boundary, including their dressing factors, and
we check them against weak- and strong-coupling results. Furthermore, we
propose a $Y$-system of equations for the cusped Wilson line of ABJM, and we
use it to reproduce the one-loop cusp anomalous dimension of ABJM from a
leading-order finite-size correction. Finally, we write a set of BTBA equations
consistent with the $Y$-system proposal.
| [
{
"created": "Tue, 4 Apr 2023 16:19:06 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2023 13:52:27 GMT",
"version": "v2"
}
] | 2023-07-26 | [
[
"Correa",
"Diego H.",
""
],
[
"Giraldo-Rivera",
"Victor I.",
""
],
[
"Lagares",
"Martín",
""
]
] | We study the integrability properties of Wilson loops in the ${\cal N}=6$ three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the construction of an open spin chain that describes the anomalous dimensions of operators inserted along the contour of a 1/2 BPS Wilson loop. Moreover, we compute the all-loop reflection matrices that govern the interaction of spin-chain excitations with the boundary, including their dressing factors, and we check them against weak- and strong-coupling results. Furthermore, we propose a $Y$-system of equations for the cusped Wilson line of ABJM, and we use it to reproduce the one-loop cusp anomalous dimension of ABJM from a leading-order finite-size correction. Finally, we write a set of BTBA equations consistent with the $Y$-system proposal. |
2309.16149 | Dibakar Roychowdhury | Dibakar Roychowdhury | Nonrelativistic expansion of type IIA NS5 brane | Published version | Eur.Phys.J.C 83 (2023) 10, 921 | 10.1140/epjc/s10052-023-12085-7 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We carry out nonrelativistic expansion for NS5 brane based on a codimension
two foliation of type IIA supergravity background. We simultaneously expand the
world-volume fields in an appropriate $ 1/c^2 $ expansion together with the
background fluxes. When put together, the resulting procedure yields a finite
world-volume action for nonrelativistic NS5 brane that is coupled to String
Newton-Cartan background.
| [
{
"created": "Thu, 28 Sep 2023 03:52:54 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2023 09:42:11 GMT",
"version": "v2"
}
] | 2023-10-16 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | We carry out nonrelativistic expansion for NS5 brane based on a codimension two foliation of type IIA supergravity background. We simultaneously expand the world-volume fields in an appropriate $ 1/c^2 $ expansion together with the background fluxes. When put together, the resulting procedure yields a finite world-volume action for nonrelativistic NS5 brane that is coupled to String Newton-Cartan background. |
hep-th/9901026 | Emili Elizalde | E. Elizalde, S. Nojiri and S.D. Odintsov | Possible quantum instability of primordial black holes | LaTeX, 7 pages, version to appear in PRD Rapid Communications | Phys.Rev.D59:061501,1999 | 10.1103/PhysRevD.59.061501 | null | hep-th | null | Evidence for the possible existence of a quantum process opposite to the
famous Hawking radiation (evaporation) of black holes is presented. This new
phenomenon could be very relevant in the case of exotic multiple horizon Nariai
black holes and in the context of common grand unified theories. This is
clearly manifested in the case of the SO(10) GUT, that is here investigated in
detail. The remarkable result is obtained, that anti-evaporation can occur
there only in the SUSY version of the theory. It is thus concluded that the
existence of primordial black holes in the present Universe might be considered
as an evidence for supersymmetry.
| [
{
"created": "Fri, 8 Jan 1999 11:37:52 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Elizalde",
"E.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | Evidence for the possible existence of a quantum process opposite to the famous Hawking radiation (evaporation) of black holes is presented. This new phenomenon could be very relevant in the case of exotic multiple horizon Nariai black holes and in the context of common grand unified theories. This is clearly manifested in the case of the SO(10) GUT, that is here investigated in detail. The remarkable result is obtained, that anti-evaporation can occur there only in the SUSY version of the theory. It is thus concluded that the existence of primordial black holes in the present Universe might be considered as an evidence for supersymmetry. |
2206.07478 | Kaiwen Sun | Zhihao Duan, Kimyeong Lee and Kaiwen Sun | Hecke Relations, Cosets and the Classification of 2d RCFTs | null | null | 10.1007/JHEP09(2022)202 | null | hep-th cond-mat.str-el math-ph math.MP math.NT | http://creativecommons.org/licenses/by/4.0/ | We systemically study the Hecke relations and the $c=8k$ coset relations
among 2d rational conformal field theories (RCFTs) with up to seven characters.
We propose that the characters of any 2d RCFT -- unitary or non-unitary --
satisfying a holomorphic modular linear differential equation (MLDE) can be
realized as either a Hecke image or the coset of a Hecke image with respect to
a $c=8k$ theory. Benefited from the recent results on holomorphic modular
bootstrap, we check this proposal for all admissible theories with up to five
characters. We also find many new interesting Hecke relations. For example, the
characters of WZW models $(E_{6})_2,(E_7)_2,(E_{7\frac12})_2$ can be realized
as the Hecke images $\mathsf{T}_{13},\mathsf{T}_{19},\mathsf{T}_{19}$ of
Virasoro minimal models $M_{\rm sub}(7,6),M(5,4),M_{\rm eff}(13,2)$
respectively. Besides, we find the characters associated to the second largest
Fisher group $Fi_{23}$ and the Harada-Norton group $HN$ can be realized as the
Hecke images $\mathsf{T}_{23},\mathsf{T}_{19}$ of the product theories $M_{\rm
eff}(5,2)\otimes M_{\rm eff}(7,2)$ and $M_{\rm eff}(7,2)^{\otimes 2}$
respectively. Mathematically, our study provides a great many interesting
examples of vector-valued modular functions up to rank seven.
| [
{
"created": "Wed, 15 Jun 2022 12:35:05 GMT",
"version": "v1"
}
] | 2022-10-19 | [
[
"Duan",
"Zhihao",
""
],
[
"Lee",
"Kimyeong",
""
],
[
"Sun",
"Kaiwen",
""
]
] | We systemically study the Hecke relations and the $c=8k$ coset relations among 2d rational conformal field theories (RCFTs) with up to seven characters. We propose that the characters of any 2d RCFT -- unitary or non-unitary -- satisfying a holomorphic modular linear differential equation (MLDE) can be realized as either a Hecke image or the coset of a Hecke image with respect to a $c=8k$ theory. Benefited from the recent results on holomorphic modular bootstrap, we check this proposal for all admissible theories with up to five characters. We also find many new interesting Hecke relations. For example, the characters of WZW models $(E_{6})_2,(E_7)_2,(E_{7\frac12})_2$ can be realized as the Hecke images $\mathsf{T}_{13},\mathsf{T}_{19},\mathsf{T}_{19}$ of Virasoro minimal models $M_{\rm sub}(7,6),M(5,4),M_{\rm eff}(13,2)$ respectively. Besides, we find the characters associated to the second largest Fisher group $Fi_{23}$ and the Harada-Norton group $HN$ can be realized as the Hecke images $\mathsf{T}_{23},\mathsf{T}_{19}$ of the product theories $M_{\rm eff}(5,2)\otimes M_{\rm eff}(7,2)$ and $M_{\rm eff}(7,2)^{\otimes 2}$ respectively. Mathematically, our study provides a great many interesting examples of vector-valued modular functions up to rank seven. |
2311.00494 | Mohammadreza Tanhayi | Reza Pirmoradian and Mohammad Reza Tanhayi | Symmetry-Resolved Entanglement Entropy for Local and Non-local QFTs | 28 pages, 15 figs, References added, To appear in EPJC | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we investigate symmetry-resolved entanglement entropy (SREE)
in free bosonic quantum many-body systems. Utilizing a lattice regularization
scheme, we compute symmetry-resolved R\'enyi entropies for free complex scalar
fields and a specific class of non-local field theories, where entanglement
entropy (EE) exhibits volume-law scaling. We present effective and approximate
eigenvalues for the correlation matrix used in computing SREE and demonstrate
their consistency with numerical results. Furthermore, we explore the
equipartition of EE, verifying its effective behavior in the massless limit.
Finally, we comment on EE in non-local quantum field theories and provide an
explicit expression for the symmetry-resolved R\'enyi entropies.
| [
{
"created": "Wed, 1 Nov 2023 12:51:37 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Nov 2023 12:59:36 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Aug 2024 08:21:54 GMT",
"version": "v3"
}
] | 2024-08-12 | [
[
"Pirmoradian",
"Reza",
""
],
[
"Tanhayi",
"Mohammad Reza",
""
]
] | In this paper, we investigate symmetry-resolved entanglement entropy (SREE) in free bosonic quantum many-body systems. Utilizing a lattice regularization scheme, we compute symmetry-resolved R\'enyi entropies for free complex scalar fields and a specific class of non-local field theories, where entanglement entropy (EE) exhibits volume-law scaling. We present effective and approximate eigenvalues for the correlation matrix used in computing SREE and demonstrate their consistency with numerical results. Furthermore, we explore the equipartition of EE, verifying its effective behavior in the massless limit. Finally, we comment on EE in non-local quantum field theories and provide an explicit expression for the symmetry-resolved R\'enyi entropies. |
hep-th/0110078 | Manuel Calixto | Miguel Navarro | Quantum and Classical Fields in the Finite-Dimensional Formalism | LaTeX, 16 pp | null | null | null | hep-th gr-qc quant-ph | null | The quantization rules recently proposed by M. Navarro (and independently
I.V. Kanatchikov) for a finite-dimensional formulation of quantum field theory
are applied to the Klein-Gordon and the Dirac fields to obtain the quantum
equations of motion of both fields. In doing so several problems arise.
Solving these difficulties leads us to propose a new classical canonical
formalism, which, in turn, leads us to new, improved rules of quantization. We
show that the new classical equations of motion and rules of quantization
overcome several known unsatisfactory features of the previous formalism. We
argue that the new formalism is a general improvement with respect to the
previous one.
Further we show that the quantum field theory of the Dirac and Klein-Gordon
field describes particles with extra, harmonic-oscillator-like degrees of
freedom. We argue that these degrees of freedom should give rise to a
multi-particle interpretation of the formalism.
| [
{
"created": "Tue, 9 Oct 2001 09:32:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Navarro",
"Miguel",
""
]
] | The quantization rules recently proposed by M. Navarro (and independently I.V. Kanatchikov) for a finite-dimensional formulation of quantum field theory are applied to the Klein-Gordon and the Dirac fields to obtain the quantum equations of motion of both fields. In doing so several problems arise. Solving these difficulties leads us to propose a new classical canonical formalism, which, in turn, leads us to new, improved rules of quantization. We show that the new classical equations of motion and rules of quantization overcome several known unsatisfactory features of the previous formalism. We argue that the new formalism is a general improvement with respect to the previous one. Further we show that the quantum field theory of the Dirac and Klein-Gordon field describes particles with extra, harmonic-oscillator-like degrees of freedom. We argue that these degrees of freedom should give rise to a multi-particle interpretation of the formalism. |
1405.0074 | Yu-Xiao Liu | Bin Guo, Yu-Xiao Liu, Ke Yang | Brane worlds in gravity with auxiliary fields | 7 pages, 4 figures | Eur.Phys.J. C75 (2015) 2, 63 | 10.1140/epjc/s10052-015-3273-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by
adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D
88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of
matter fields generically appear in the field equations. In this paper we
extend this theory to any dimensions and discuss the thick braneworld model in
five dimensions. Domain wall solutions are obtained numerically. The stability
of the brane system under the tensor perturbation is analyzed. We find that the
system is stable under the tensor perturbation and the gravity zero mode is
localized on the brane. Therefore, the four-dimensional Newtonian potential can
be realized on the brane.
| [
{
"created": "Thu, 1 May 2014 01:20:10 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 2014 08:06:24 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Oct 2014 10:00:24 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Mar 2015 01:05:12 GMT",
"version": "v4"
}
] | 2015-03-12 | [
[
"Guo",
"Bin",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Yang",
"Ke",
""
]
] | Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D 88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of matter fields generically appear in the field equations. In this paper we extend this theory to any dimensions and discuss the thick braneworld model in five dimensions. Domain wall solutions are obtained numerically. The stability of the brane system under the tensor perturbation is analyzed. We find that the system is stable under the tensor perturbation and the gravity zero mode is localized on the brane. Therefore, the four-dimensional Newtonian potential can be realized on the brane. |
2304.12341 | Frank Coronado | Simon Caron-Huot, Frank Coronado and Beatrix M\"uhlmann | Determinants in self-dual N=4 SYM and twistor space | 53 pages, 13 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider correlation functions of supersymmetrized determinant operators
in self-dual super Yang-Mills (SYM). These provide a generating function for
correlators of arbitrary single-trace half-BPS operators, including, for
appropriate Grassmann components, the so-called loop integrand of the
non-self-dual theory. We introduce a novel twistor space representation for
determinant operators which makes contact with the recently studied $m=2$
amplituhedron. By using matrix duality we rewrite the $n$-point determinant
correlator as a $n\times n$ matrix integral where the gauge group rank $N_c$ is
turned into a coupling. The correlators are rational functions whose
denominators, in the planar limit, contain only ten-dimensional distances.
Using this formulation, we verify a recent conjecture regarding the
ten-dimensional symmetry of the components with maximal Grassmann degree and we
obtain new formulas for correlators of Grassmann degree four.
| [
{
"created": "Mon, 24 Apr 2023 18:00:01 GMT",
"version": "v1"
}
] | 2023-04-26 | [
[
"Caron-Huot",
"Simon",
""
],
[
"Coronado",
"Frank",
""
],
[
"Mühlmann",
"Beatrix",
""
]
] | We consider correlation functions of supersymmetrized determinant operators in self-dual super Yang-Mills (SYM). These provide a generating function for correlators of arbitrary single-trace half-BPS operators, including, for appropriate Grassmann components, the so-called loop integrand of the non-self-dual theory. We introduce a novel twistor space representation for determinant operators which makes contact with the recently studied $m=2$ amplituhedron. By using matrix duality we rewrite the $n$-point determinant correlator as a $n\times n$ matrix integral where the gauge group rank $N_c$ is turned into a coupling. The correlators are rational functions whose denominators, in the planar limit, contain only ten-dimensional distances. Using this formulation, we verify a recent conjecture regarding the ten-dimensional symmetry of the components with maximal Grassmann degree and we obtain new formulas for correlators of Grassmann degree four. |
hep-th/0702048 | Claudia de Rham | Claudia de Rham and Scott Watson | Living on a dS brane: Effects of KK modes on inflation | 21 pages, no figures | Class.Quant.Grav.24:4219-4234,2007 | 10.1088/0264-9381/24/16/015 | null | hep-th astro-ph gr-qc hep-ph | null | We develop a formalism to study non-local higher-dimensional effects in
braneworld scenarios from a four-dimensional effective theory point of view and
check it against the well-known Garriga-Tanaka result in the appropriate limit.
We then use this formalism to study the spectrum of density perturbations
during inflation as seen from the lower-dimensional effective theory. In
particular, we find that the gravitational potential is greatly enhanced at
short wavelengths. The consequences to the curvature perturbations are
nonetheless very weak and will lead to no characteristic signatures on the
power spectrum.
| [
{
"created": "Tue, 6 Feb 2007 23:30:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"de Rham",
"Claudia",
""
],
[
"Watson",
"Scott",
""
]
] | We develop a formalism to study non-local higher-dimensional effects in braneworld scenarios from a four-dimensional effective theory point of view and check it against the well-known Garriga-Tanaka result in the appropriate limit. We then use this formalism to study the spectrum of density perturbations during inflation as seen from the lower-dimensional effective theory. In particular, we find that the gravitational potential is greatly enhanced at short wavelengths. The consequences to the curvature perturbations are nonetheless very weak and will lead to no characteristic signatures on the power spectrum. |
2210.04906 | Mykhaylo Usatyuk | Mykhaylo Usatyuk | Comments on Lorentzian topology change in JT gravity | 20 pages, 5 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose a definition for the Lorentzian Jackiw-Teitelboim (JT) gravity
path integral that includes Lorentzian topology changing configurations. The
construction is inspired by the bosonic string genus expansion on singular
Lorentzian worldsheets, with geometries known as lightcone diagrams playing a
prominent role. The Lorentzian path integral is defined through a suitable
analytic continuation of the Euclidean path integral, and includes metrics that
become degenerate at isolated points allowing for Lorentzian topology changing
transitions. We discuss the relation between Euclidean JT amplitudes and the
proposed Lorentzian amplitudes.
| [
{
"created": "Mon, 10 Oct 2022 18:00:01 GMT",
"version": "v1"
}
] | 2022-10-12 | [
[
"Usatyuk",
"Mykhaylo",
""
]
] | We propose a definition for the Lorentzian Jackiw-Teitelboim (JT) gravity path integral that includes Lorentzian topology changing configurations. The construction is inspired by the bosonic string genus expansion on singular Lorentzian worldsheets, with geometries known as lightcone diagrams playing a prominent role. The Lorentzian path integral is defined through a suitable analytic continuation of the Euclidean path integral, and includes metrics that become degenerate at isolated points allowing for Lorentzian topology changing transitions. We discuss the relation between Euclidean JT amplitudes and the proposed Lorentzian amplitudes. |
1311.4696 | Io Kawaguchi | Io Kawaguchi and Kentaroh Yoshida | A deformation of quantum affine algebra in squashed WZNW models | 62 pages, 5 figures | null | 10.1063/1.4880341 | KUNS-2467 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We proceed to study infinite-dimensional symmetries in two-dimensional
squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The
target space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. It
is known that SU(2)_L is enhanced to a couple of Yangians. We reveal here that
an infinite-dimensional extension of U(1)_R is a deformation of quantum affine
algebra, where a new deformation parameter is provided with the coefficient of
the Wess-Zumino term. Then we consider the relation between the deformed
quantum affine algebra and the pair of Yangians from the viewpoint of the
left-right duality of monodromy matrices. The integrable structure is also
discussed by computing the r/s-matrices that satisfy the extended classical
Yang-Baxter equation. Finally two degenerate limits are discussed.
| [
{
"created": "Tue, 19 Nov 2013 11:18:00 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Kawaguchi",
"Io",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We proceed to study infinite-dimensional symmetries in two-dimensional squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The target space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. It is known that SU(2)_L is enhanced to a couple of Yangians. We reveal here that an infinite-dimensional extension of U(1)_R is a deformation of quantum affine algebra, where a new deformation parameter is provided with the coefficient of the Wess-Zumino term. Then we consider the relation between the deformed quantum affine algebra and the pair of Yangians from the viewpoint of the left-right duality of monodromy matrices. The integrable structure is also discussed by computing the r/s-matrices that satisfy the extended classical Yang-Baxter equation. Finally two degenerate limits are discussed. |
hep-th/0502013 | Tetsuo Matsui | Gaku Arakawa, Ikuo Ichinose, Tetsuo Matsui, Kazuhiko Sakakibara | Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge
Theory | 4 pages, 5 figures, typos corrected | Phys.Rev.Lett. 94 (2005) 211601 | 10.1103/PhysRevLett.94.211601 | null | hep-th cond-mat.str-el hep-lat | null | We introduce a 3D compact U(1) lattice gauge theory having nonlocal
interactions in the temporal direction, and study its phase structure. The
model is relevant for the compact QED$_3$ and strongly correlated electron
systems like the t-J model of cuprates. For a power-law decaying long-range
interaction, which simulates the effect of gapless matter fields, a
second-order phase transition takes place separating the confinement and
deconfinement phases. For an exponentially decaying interaction simulating
matter fields with gaps, the system exhibits no signals of a second-order
transition.
| [
{
"created": "Tue, 1 Feb 2005 20:45:48 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Mar 2005 15:16:02 GMT",
"version": "v2"
},
{
"created": "Sun, 5 Jun 2005 18:13:59 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Arakawa",
"Gaku",
""
],
[
"Ichinose",
"Ikuo",
""
],
[
"Matsui",
"Tetsuo",
""
],
[
"Sakakibara",
"Kazuhiko",
""
]
] | We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J model of cuprates. For a power-law decaying long-range interaction, which simulates the effect of gapless matter fields, a second-order phase transition takes place separating the confinement and deconfinement phases. For an exponentially decaying interaction simulating matter fields with gaps, the system exhibits no signals of a second-order transition. |
0704.1819 | Yuji Tachikawa | Kentaro Hanaki, Keisuke Ohashi and Yuji Tachikawa | Comments on Charges and Near-Horizon Data of Black Rings | 30 pages, 1 figure; v2: additional references; v3: published version | JHEP0712:057,2007 | 10.1088/1126-6708/2007/12/057 | TIT/HEP-570 | hep-th | null | We study how the charges of the black rings measured at the asymptotic
infinity are encoded in the near-horizon metric and gauge potentials,
independent of the detailed structure of the connecting region. Our analysis
clarifies how different sets of four-dimensional charges can be assigned to a
single five-dimensional object under the Kaluza-Klein reduction. Possible
choices are related by the Witten effect on dyons and by the large gauge
transformation in four and five dimensions, respectively.
| [
{
"created": "Mon, 16 Apr 2007 13:59:57 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2007 20:37:19 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Dec 2007 16:16:52 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hanaki",
"Kentaro",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We study how the charges of the black rings measured at the asymptotic infinity are encoded in the near-horizon metric and gauge potentials, independent of the detailed structure of the connecting region. Our analysis clarifies how different sets of four-dimensional charges can be assigned to a single five-dimensional object under the Kaluza-Klein reduction. Possible choices are related by the Witten effect on dyons and by the large gauge transformation in four and five dimensions, respectively. |
1906.11672 | Alfredo Giambrone | P. Fr\'e, A. Giambrone, P. A. Grassi, and P. Va\v{s}ko | The $\mathcal{N}_3=3\to \mathcal{N}_3=4$ enhancement of Super
Chern-Simons theories in $D=3$, Calabi HyperK\"ahler metrics and M2-branes on
the $\mathcal{C}(\mathrm{N^{0,1,0}})$ conifold | 2 figures, 64 pages | null | null | ARC-19-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Considering matter coupled supersymmetric Chern-Simons theories in three
dimensions we extend the Gaiotto-Witten mechanism of supersymmetry enhancement
$\mathcal{N}_3=3\to \mathcal{N}_3=4$ from the case where the hypermultiplets
span a flat HyperK\"ahler manifold to that where they live on a curved one. We
derive the precise conditions of this enhancement in terms of generalized
Gaiotto-Witten identities to be satisfied by the tri-holomorphic moment maps.
An infinite class of HyperK\"ahler metrics compatible with the enhancement
condition is provided by the Calabi metrics on $T^\star \mathbb{P}^{n}$. In
this list we find, for $n=2$ the resolution of the metric cone on
$\mathrm{N}^{0,1,0}$ which is the unique homogeneous Sasaki Einstein 7-manifold
leading to an $\mathcal{N}_4=3$ compactification of M-theory. This leads to
challenging perspectives for the discovery of new relations between the
enhancement mechanism in $D=3$, the geometry of M2-brane solutions and also for
the dual description of super Chern Simons theories on curved HyperK\"ahler
manifolds in terms of gauged fixed supergroup Chern Simons theories. The
relevant supergroup is in this case $\mathrm{SU(3|N)}$ where $\mathrm{SU(3)}$
is the flavor group and $\mathrm{U(N)}$ is the color group.
| [
{
"created": "Thu, 27 Jun 2019 14:16:05 GMT",
"version": "v1"
}
] | 2019-06-28 | [
[
"Fré",
"P.",
""
],
[
"Giambrone",
"A.",
""
],
[
"Grassi",
"P. A.",
""
],
[
"Vaško",
"P.",
""
]
] | Considering matter coupled supersymmetric Chern-Simons theories in three dimensions we extend the Gaiotto-Witten mechanism of supersymmetry enhancement $\mathcal{N}_3=3\to \mathcal{N}_3=4$ from the case where the hypermultiplets span a flat HyperK\"ahler manifold to that where they live on a curved one. We derive the precise conditions of this enhancement in terms of generalized Gaiotto-Witten identities to be satisfied by the tri-holomorphic moment maps. An infinite class of HyperK\"ahler metrics compatible with the enhancement condition is provided by the Calabi metrics on $T^\star \mathbb{P}^{n}$. In this list we find, for $n=2$ the resolution of the metric cone on $\mathrm{N}^{0,1,0}$ which is the unique homogeneous Sasaki Einstein 7-manifold leading to an $\mathcal{N}_4=3$ compactification of M-theory. This leads to challenging perspectives for the discovery of new relations between the enhancement mechanism in $D=3$, the geometry of M2-brane solutions and also for the dual description of super Chern Simons theories on curved HyperK\"ahler manifolds in terms of gauged fixed supergroup Chern Simons theories. The relevant supergroup is in this case $\mathrm{SU(3|N)}$ where $\mathrm{SU(3)}$ is the flavor group and $\mathrm{U(N)}$ is the color group. |
2205.12969 | Yuanhong Guo | Yuanhong Guo, Qingjun Jin, Lei Wang, Gang Yang | Deciphering the Maximal Transcendentality Principle via Bootstrap | 72 pages, 17 figures; v2: references added, minor corrections | null | 10.1007/JHEP09(2022)161 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove the principle of maximal transcendentality for a class of form
factors, including the general two-loop minimal form factors, the two-loop
three-point form factor of ${\rm tr}(F^2)$, and the two-loop four-point form
factor of ${\rm tr}(F^3)$. Our proof is based on a recently developed bootstrap
method using the representation of master integral expansions, together with
some unitarity cuts that are universal in general gauge theories. The maximally
transcendental parts of the two-loop four-gluon form factor of
$\mathrm{tr}(F^3)$ are obtained for the first time in both planar
$\mathcal{N}=4$ SYM and pure YM theories. This form factor can be understood as
the Higgs-plus-four-gluon amplitudes involving a dimension-seven operator in
the Higgs effective theory. In this case, we find that the maximally
transcendental part of the $\mathcal{N}=4$ SYM result is different from that of
pure YM, and the discrepancy is due to the gluino-loop contributions in
$\mathcal{N}=4$ SYM. In contrast, the scalar-loop contributions have no
maximally transcendental parts. Thus, the maximal transcendentality principle
still holds for the form factor results in $\mathcal{N}=4$ SYM and QCD, after a
proper identification of the fundamental quarks and adjoint gluinos as $n_f
\rightarrow 4N_c$. This seems to be the first example of the maximally
transcendental principle that involves fermion-loop contributions. As another
intriguing observation, we find that the four-point form factor of the half-BPS
$\mathrm{tr}(\phi^3)$ operator is precisely a building block in the form factor
of $\mathrm{tr}(F^3)$.
| [
{
"created": "Wed, 25 May 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Sep 2022 07:52:32 GMT",
"version": "v2"
}
] | 2022-11-09 | [
[
"Guo",
"Yuanhong",
""
],
[
"Jin",
"Qingjun",
""
],
[
"Wang",
"Lei",
""
],
[
"Yang",
"Gang",
""
]
] | We prove the principle of maximal transcendentality for a class of form factors, including the general two-loop minimal form factors, the two-loop three-point form factor of ${\rm tr}(F^2)$, and the two-loop four-point form factor of ${\rm tr}(F^3)$. Our proof is based on a recently developed bootstrap method using the representation of master integral expansions, together with some unitarity cuts that are universal in general gauge theories. The maximally transcendental parts of the two-loop four-gluon form factor of $\mathrm{tr}(F^3)$ are obtained for the first time in both planar $\mathcal{N}=4$ SYM and pure YM theories. This form factor can be understood as the Higgs-plus-four-gluon amplitudes involving a dimension-seven operator in the Higgs effective theory. In this case, we find that the maximally transcendental part of the $\mathcal{N}=4$ SYM result is different from that of pure YM, and the discrepancy is due to the gluino-loop contributions in $\mathcal{N}=4$ SYM. In contrast, the scalar-loop contributions have no maximally transcendental parts. Thus, the maximal transcendentality principle still holds for the form factor results in $\mathcal{N}=4$ SYM and QCD, after a proper identification of the fundamental quarks and adjoint gluinos as $n_f \rightarrow 4N_c$. This seems to be the first example of the maximally transcendental principle that involves fermion-loop contributions. As another intriguing observation, we find that the four-point form factor of the half-BPS $\mathrm{tr}(\phi^3)$ operator is precisely a building block in the form factor of $\mathrm{tr}(F^3)$. |
hep-th/9707062 | Cliff Burgess | C.P. Burgess, A. de la Macorra, I. Maksymyk and F. Quevedo | Fixing the Dilaton with Asymptotically Expensive Physics? | 14 pages, (typos corrected and reference added) | Phys.Lett. B410 (1997) 181-187 | 10.1016/S0370-2693(97)00973-8 | McGill-97/07, IFUNAM FT97-10 | hep-th hep-ph | null | We propose a general mechanism for stabilizing the dilaton against runaway to
weak coupling. The method is based on features of the effective superpotential
which arise for supersymmetric gauge theories which are not asymptotically
free. Consideration of the 2PI effective action for bilinear operators of
matter and gauge superfields allows one to overcome the obstacles to
constructing a nonvanishing superpotential.
| [
{
"created": "Sun, 6 Jul 1997 06:55:26 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 1997 14:46:32 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Burgess",
"C. P.",
""
],
[
"de la Macorra",
"A.",
""
],
[
"Maksymyk",
"I.",
""
],
[
"Quevedo",
"F.",
""
]
] | We propose a general mechanism for stabilizing the dilaton against runaway to weak coupling. The method is based on features of the effective superpotential which arise for supersymmetric gauge theories which are not asymptotically free. Consideration of the 2PI effective action for bilinear operators of matter and gauge superfields allows one to overcome the obstacles to constructing a nonvanishing superpotential. |
hep-th/0101186 | Matthias Klein | Anamaria Font, Matthias Klein, Fernando Quevedo | The Dilaton Potential from N= 1* | Latex, 21 pages, 4 figures, v2: typos and eq.(2.1) corrected, v3:
comments on possible embeddings of the model in string theory added | Nucl.Phys. B605 (2001) 319-336 | 10.1016/S0550-3213(01)00202-4 | DAMTP-2001-4, HU-EP-01/02 | hep-th hep-ph | null | Recent understanding of {\cal N}=1* supersymmetric theory (mass deformed
{\cal N}=4) has made it possible to find an exact superpotential which encodes
the properties of the different phases of the theory. We consider this
superpotential as an illustrative example for the source of a nontrivial scalar
potential for the string theory dilaton and study its properties. The
superpotential is characterized by the rank of the corresponding gauge group
(N) and integers p,q,k labelling the different massive phases of the theory.
For generic values of these parameters, we find the expected runaway behaviour
of the potential to vanishing string coupling. But there are also
supersymmetric minima at weak coupling stabilizing the dilaton field. An
interesting property of this potential is that there is a proliferation of
supersymmetric vacua in the confining phases, with the number of vacua
increasing with N and leading to a kind of staircase potential. For a range of
parameters, it is possible to obtain realistic values for the gauge coupling.
| [
{
"created": "Fri, 26 Jan 2001 19:57:02 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2001 18:26:16 GMT",
"version": "v2"
},
{
"created": "Tue, 1 May 2001 15:43:21 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Font",
"Anamaria",
""
],
[
"Klein",
"Matthias",
""
],
[
"Quevedo",
"Fernando",
""
]
] | Recent understanding of {\cal N}=1* supersymmetric theory (mass deformed {\cal N}=4) has made it possible to find an exact superpotential which encodes the properties of the different phases of the theory. We consider this superpotential as an illustrative example for the source of a nontrivial scalar potential for the string theory dilaton and study its properties. The superpotential is characterized by the rank of the corresponding gauge group (N) and integers p,q,k labelling the different massive phases of the theory. For generic values of these parameters, we find the expected runaway behaviour of the potential to vanishing string coupling. But there are also supersymmetric minima at weak coupling stabilizing the dilaton field. An interesting property of this potential is that there is a proliferation of supersymmetric vacua in the confining phases, with the number of vacua increasing with N and leading to a kind of staircase potential. For a range of parameters, it is possible to obtain realistic values for the gauge coupling. |
2208.05150 | Ar Rohim | Ar Rohim, Apriadi Salim Adam, Kazuhiro Yamamoto | Massive fermion between two parallel chiral plates | 16 pages, 4 figures, published version | Prog. Theor. Exp. Phys. 2023, 013B05 (2023) | 10.1093/ptep/ptac172 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the system of a massive fermion field confined between two parallel
plates, where the properties of both plates are discussed under chiral MIT
boundary conditions. We investigate the effects of the chiral angle on the
Casimir energy for a massive fermion field with the general momentum. We find
that the Casimir energy as a function of the chiral angle is generally
symmetric, and the attractive Casimir force in the chiral case is stronger than
that in the nonchiral case. In addition, we investigate the approximate Casimir
energy for light and heavy mass cases. The behavior of the discrete momentum
and changes of spin orientation are also discussed.
| [
{
"created": "Wed, 10 Aug 2022 05:05:42 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 2023 08:47:40 GMT",
"version": "v2"
}
] | 2023-02-13 | [
[
"Rohim",
"Ar",
""
],
[
"Adam",
"Apriadi Salim",
""
],
[
"Yamamoto",
"Kazuhiro",
""
]
] | We study the system of a massive fermion field confined between two parallel plates, where the properties of both plates are discussed under chiral MIT boundary conditions. We investigate the effects of the chiral angle on the Casimir energy for a massive fermion field with the general momentum. We find that the Casimir energy as a function of the chiral angle is generally symmetric, and the attractive Casimir force in the chiral case is stronger than that in the nonchiral case. In addition, we investigate the approximate Casimir energy for light and heavy mass cases. The behavior of the discrete momentum and changes of spin orientation are also discussed. |
hep-th/0510096 | Annekathrin M\"uller-Lohmann | Michael Flohr, Annekathrin Mueller-Lohmann | Notes on non-trivial and logarithmic CFTs with c=0 | 40 pages LaTeX | J.Stat.Mech.0604:P04002,2006 | 10.1088/1742-5468/2006/04/P04002 | BONN-TH-2005-06 | hep-th cond-mat.other | null | We examine the properties of two-dimensional conformal field theories (CFTs)
with vanishing central charge based on the extended Kac-table for c_(9,6)=0
using a general ansatz for the stress energy tensor residing in a Jordan cell
of rank two. Within this setup we will derive the OPEs and two point functions
of the stress energy tensor T(z) and its logarithmic partner field t(z) and
illustrate this by a bosonic field realization. We will show why our approach
may be more promising than those chosen in the literature so far, including a
discussion on properties of the augmented minimal model with vanishing central
charge such as full conformal invariance of the vacuum as a state in an
irreducible representation, consequences on percolation from null vectors and
the structure of representations within the Kac table. Furthermore we will
present another solution to the c --> 0 catastrophe based on an logarithmic CFT
tensor model. As example, we consider a tensor product of the well-known c=-2
logarithmic CFT with a four-fold Ising model. We give an overview of the
possible configurations and various consequences on the two point functions and
the OPEs of the stress energy tensor T(z) and its logarithmic partner field
t(z). We will motivate that due to the full conformal invariance of the vacuum
at c=0, we have to assume a Jordan cell for the identity since t(z) is now a
descendant of a new h=0 field.
| [
{
"created": "Wed, 12 Oct 2005 12:34:19 GMT",
"version": "v1"
}
] | 2011-02-16 | [
[
"Flohr",
"Michael",
""
],
[
"Mueller-Lohmann",
"Annekathrin",
""
]
] | We examine the properties of two-dimensional conformal field theories (CFTs) with vanishing central charge based on the extended Kac-table for c_(9,6)=0 using a general ansatz for the stress energy tensor residing in a Jordan cell of rank two. Within this setup we will derive the OPEs and two point functions of the stress energy tensor T(z) and its logarithmic partner field t(z) and illustrate this by a bosonic field realization. We will show why our approach may be more promising than those chosen in the literature so far, including a discussion on properties of the augmented minimal model with vanishing central charge such as full conformal invariance of the vacuum as a state in an irreducible representation, consequences on percolation from null vectors and the structure of representations within the Kac table. Furthermore we will present another solution to the c --> 0 catastrophe based on an logarithmic CFT tensor model. As example, we consider a tensor product of the well-known c=-2 logarithmic CFT with a four-fold Ising model. We give an overview of the possible configurations and various consequences on the two point functions and the OPEs of the stress energy tensor T(z) and its logarithmic partner field t(z). We will motivate that due to the full conformal invariance of the vacuum at c=0, we have to assume a Jordan cell for the identity since t(z) is now a descendant of a new h=0 field. |
2009.03799 | Stefano Baiguera | Stefano Baiguera, Troels Harmark, Nico Wintergerst | Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
with $SU(1,1)$ symmetry | 62 pages, 2 figures; v2: minor corrections | JHEP 02(2021)188 | 10.1007/JHEP02(2021)188 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider limits of $\mathcal{N}=4$ super Yang-Mills (SYM) theory that
approach BPS bounds and for which an $SU(1,1)$ structure is preserved. The
resulting near-BPS theories become non-relativistic, with a $U(1)$ symmetry
emerging in the limit that implies the conservation of particle number. They
are obtained by reducing $\mathcal{N}=4$ SYM on a three-sphere and subsequently
integrating out fields that become non-dynamical as the bounds are approached.
Upon quantization, and taking into account normal-ordering, they are consistent
with taking the appropriate limits of the dilatation operator directly, thereby
corresponding to Spin Matrix theories, found previously in the literature. In
the particular case of the $SU(1,1|1)$ near-BPS/Spin Matrix theory, we find a
superfield formulation that applies to the full interacting theory. Moreover,
for all the theories we find tantalizingly simple semi-local formulations as
theories living on a circle. Finally, we find positive-definite expressions for
the interactions in the classical limit for all the theories, which can be used
to explore their strong coupling limits. This paper will have a companion paper
in which we explore BPS bounds for which a $SU(2,1)$ structure is preserved.
| [
{
"created": "Tue, 8 Sep 2020 14:54:44 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 2020 09:20:45 GMT",
"version": "v2"
}
] | 2021-08-25 | [
[
"Baiguera",
"Stefano",
""
],
[
"Harmark",
"Troels",
""
],
[
"Wintergerst",
"Nico",
""
]
] | We consider limits of $\mathcal{N}=4$ super Yang-Mills (SYM) theory that approach BPS bounds and for which an $SU(1,1)$ structure is preserved. The resulting near-BPS theories become non-relativistic, with a $U(1)$ symmetry emerging in the limit that implies the conservation of particle number. They are obtained by reducing $\mathcal{N}=4$ SYM on a three-sphere and subsequently integrating out fields that become non-dynamical as the bounds are approached. Upon quantization, and taking into account normal-ordering, they are consistent with taking the appropriate limits of the dilatation operator directly, thereby corresponding to Spin Matrix theories, found previously in the literature. In the particular case of the $SU(1,1|1)$ near-BPS/Spin Matrix theory, we find a superfield formulation that applies to the full interacting theory. Moreover, for all the theories we find tantalizingly simple semi-local formulations as theories living on a circle. Finally, we find positive-definite expressions for the interactions in the classical limit for all the theories, which can be used to explore their strong coupling limits. This paper will have a companion paper in which we explore BPS bounds for which a $SU(2,1)$ structure is preserved. |
1802.10266 | Eric Perlmutter | Luca Iliesiu, Murat Kolo\u{g}lu, Raghu Mahajan, Eric Perlmutter, David
Simmons-Duffin | The Conformal Bootstrap at Finite Temperature | 59 pages plus appendices, 14 figures. v2: added refs, minor
corrections | null | 10.1007/JHEP10(2018)070 | CALT-TH-2018-013, PUPT-2550 | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate an approach to constraining conformal field theory (CFT) data at
finite temperature using methods inspired by the conformal bootstrap for vacuum
correlation functions. We focus on thermal one- and two-point functions of
local operators on the plane. The KMS condition for thermal two-point functions
is cast as a crossing equation. By studying the analyticity properties of
thermal two-point functions, we derive a "thermal inversion formula" whose
output is the set of thermal one-point functions for all operators appearing in
a given OPE. This involves identifying a kinematic regime which is the analog
of the Regge regime for four-point functions. We demonstrate the effectiveness
of the inversion formula by recovering the spectrum and thermal one-point
functions in mean field theory, and computing thermal one-point functions for
all higher-spin currents in the critical $O(N)$ model at leading order in
$1/N$. Furthermore, we develop a systematic perturbation theory for thermal
data in the large spin, low-twist spectrum of any CFT. We explain how the
inversion formula and KMS condition may be combined to algorithmically
constrain CFTs at finite temperature. Throughout, we draw analogies to the
bootstrap for vacuum four-point functions. Finally, we discuss future
directions for the thermal conformal bootstrap program, emphasizing
applications to various types of CFTs, including those with holographic duals.
| [
{
"created": "Wed, 28 Feb 2018 05:46:55 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2018 08:33:14 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Iliesiu",
"Luca",
""
],
[
"Koloğlu",
"Murat",
""
],
[
"Mahajan",
"Raghu",
""
],
[
"Perlmutter",
"Eric",
""
],
[
"Simmons-Duffin",
"David",
""
]
] | We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local operators on the plane. The KMS condition for thermal two-point functions is cast as a crossing equation. By studying the analyticity properties of thermal two-point functions, we derive a "thermal inversion formula" whose output is the set of thermal one-point functions for all operators appearing in a given OPE. This involves identifying a kinematic regime which is the analog of the Regge regime for four-point functions. We demonstrate the effectiveness of the inversion formula by recovering the spectrum and thermal one-point functions in mean field theory, and computing thermal one-point functions for all higher-spin currents in the critical $O(N)$ model at leading order in $1/N$. Furthermore, we develop a systematic perturbation theory for thermal data in the large spin, low-twist spectrum of any CFT. We explain how the inversion formula and KMS condition may be combined to algorithmically constrain CFTs at finite temperature. Throughout, we draw analogies to the bootstrap for vacuum four-point functions. Finally, we discuss future directions for the thermal conformal bootstrap program, emphasizing applications to various types of CFTs, including those with holographic duals. |
2405.12269 | Hao Zhang | Eric Sharpe, Hao Zhang | Decomposition squared | 30 pages, LaTeX | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we test and extend a proposal of Gu, Pei, and Zhang for an
application of decomposition to three-dimensional theories with one-form
symmetries and to quantum K theory. The theories themselves do not decompose,
but, OPEs of parallel one-dimensional objects (such as Wilson lines) and
dimensional reductions to two dimensions do decompose, in two independent ways.
We apply this to extend conjectures for quantum K theory rings of gerbes
(realized by three-dimensional gauge theories with one-form symmetries) via
both orbifold partition functions and gauged linear sigma models.
| [
{
"created": "Mon, 20 May 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-05-22 | [
[
"Sharpe",
"Eric",
""
],
[
"Zhang",
"Hao",
""
]
] | In this paper, we test and extend a proposal of Gu, Pei, and Zhang for an application of decomposition to three-dimensional theories with one-form symmetries and to quantum K theory. The theories themselves do not decompose, but, OPEs of parallel one-dimensional objects (such as Wilson lines) and dimensional reductions to two dimensions do decompose, in two independent ways. We apply this to extend conjectures for quantum K theory rings of gerbes (realized by three-dimensional gauge theories with one-form symmetries) via both orbifold partition functions and gauged linear sigma models. |
hep-th/9311015 | Kresimir Demeterfi | Kre\v{s}imir Demeterfi, Igor R. Klebanov and Gyan Bhanot | Glueball spectrum in a (1+1)-dimensional model for QCD | 17 pages, uses phyzzx and table.tex, 5 figures available upon request
from kresimir@puhep1.princeton.edu | Nucl.Phys. B418 (1994) 15-29 | 10.1016/0550-3213(94)90236-4 | PUPT-1427, IASSNS-HEP-93/59 | hep-th | null | We consider (1+1)-dimensional QCD coupled to scalars in the adjoint
representation of the gauge group SU($N$). This model results from dimensional
reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we
study the spectrum of glueballs numerically, using the discretized \lcq. We
find a discrete spectrum of bound states, with the density of levels growing
approximately exponentially with the mass. A few low-lying states are very
close to being eigenstates of the parton number, and their masses can be
accurately calculated by truncated diagonalizations.
| [
{
"created": "Tue, 2 Nov 1993 22:33:27 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Demeterfi",
"Krešimir",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Bhanot",
"Gyan",
""
]
] | We consider (1+1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU($N$). This model results from dimensional reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized \lcq. We find a discrete spectrum of bound states, with the density of levels growing approximately exponentially with the mass. A few low-lying states are very close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations. |
2310.06895 | Matilda Delgado | Ivano Basile, Arun Debray, Matilda Delgado, Miguel Montero | Global anomalies & bordism of non-supersymmetric strings | 67 pages + references, 10 figures, 1 table | null | null | IFT-23-129 | hep-th math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three tachyon-free non-supersymmetric string theories in ten dimensions
provide a handle on quantum gravity away from the supersymmetric lamppost.
However, they have not been shown to be fully consistent; although local
anomalies cancel due to versions of the Green-Schwarz mechanism, there could be
global anomalies, not cancelled by the Green-Schwarz mechanism, that could
become fatal pathologies. We compute the twisted string bordism groups that
control these anomalies via the Adams spectral sequence, showing that they
vanish completely in two out of three cases (Sugimoto and $SO(16)^2$) and
showing a partial vanishing also in the third (Sagnotti 0'B model). We also
compute lower-dimensional bordism groups of the non-supersymmetric string
theories, which are of interest to the classification of branes in these
theories via the Cobordism Conjecture. We propose a worldvolume content based
on anomaly inflow for the $SO(16)^2$ NS5-brane, and discuss subtleties related
to the torsion part of the Bianchi identity. As a byproduct of our techniques
and analysis, we also reprove that the outer $\mathbb{Z}_2$ automorphism
swapping the two $E_8$ factors in the supersymmetric heterotic string is also
non-anomalous.
| [
{
"created": "Tue, 10 Oct 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2024 13:45:10 GMT",
"version": "v2"
}
] | 2024-04-16 | [
[
"Basile",
"Ivano",
""
],
[
"Debray",
"Arun",
""
],
[
"Delgado",
"Matilda",
""
],
[
"Montero",
"Miguel",
""
]
] | The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been shown to be fully consistent; although local anomalies cancel due to versions of the Green-Schwarz mechanism, there could be global anomalies, not cancelled by the Green-Schwarz mechanism, that could become fatal pathologies. We compute the twisted string bordism groups that control these anomalies via the Adams spectral sequence, showing that they vanish completely in two out of three cases (Sugimoto and $SO(16)^2$) and showing a partial vanishing also in the third (Sagnotti 0'B model). We also compute lower-dimensional bordism groups of the non-supersymmetric string theories, which are of interest to the classification of branes in these theories via the Cobordism Conjecture. We propose a worldvolume content based on anomaly inflow for the $SO(16)^2$ NS5-brane, and discuss subtleties related to the torsion part of the Bianchi identity. As a byproduct of our techniques and analysis, we also reprove that the outer $\mathbb{Z}_2$ automorphism swapping the two $E_8$ factors in the supersymmetric heterotic string is also non-anomalous. |
1608.00119 | Andrei Linde | Andrei Linde | On inflation, cosmological constant, and SUSY breaking | 5 pages, Introduction and Discussion expanded, the version to appear
in JCAP | null | 10.1088/1475-7516/2016/11/002 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a broad class of inflationary models of two unconstrained chiral
superfields, the stabilizer $S$ and the inflaton $\Phi$, which can describe
inflationary models with nearly arbitrary potentials. These models include, in
particular, the recently introduced theories of cosmological attractors, which
provide an excellent fit to the latest Planck data. We show that by adding to
the superpotential of the fields $S$ and $\Phi$ a small term depending on a
nilpotent chiral superfield $P$ one can break SUSY and introduce a small
cosmological constant without affecting main predictions of the original
inflationary scenario.
| [
{
"created": "Sat, 30 Jul 2016 13:32:24 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2016 16:33:16 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Oct 2016 05:00:52 GMT",
"version": "v3"
}
] | 2016-11-09 | [
[
"Linde",
"Andrei",
""
]
] | We consider a broad class of inflationary models of two unconstrained chiral superfields, the stabilizer $S$ and the inflaton $\Phi$, which can describe inflationary models with nearly arbitrary potentials. These models include, in particular, the recently introduced theories of cosmological attractors, which provide an excellent fit to the latest Planck data. We show that by adding to the superpotential of the fields $S$ and $\Phi$ a small term depending on a nilpotent chiral superfield $P$ one can break SUSY and introduce a small cosmological constant without affecting main predictions of the original inflationary scenario. |
0807.0273 | Mohammad Reza Setare | M R Setare | Semiclassical Corrections to the Cardy-Verlinde Formula of Kerr Black
Holes | 8 pages | Int.J.Mod.Phys.A23:2047-2053,2008 | 10.1142/S0217751X08039657 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter, we compute the corrections to the Cardy-Verlinde formula of
$4-$dimensional Kerr black hole. These corrections are considered within the
context of KKW analysis and arise as a result of the self-gravitational effect.
Then we show, one can taking into account the semiclassical corrections of the
Cardy-Verlinde entropy formula by just redefining the Virasoro operator $L_0$
and the central charge $c$.
| [
{
"created": "Wed, 2 Jul 2008 05:45:40 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Setare",
"M R",
""
]
] | In this letter, we compute the corrections to the Cardy-Verlinde formula of $4-$dimensional Kerr black hole. These corrections are considered within the context of KKW analysis and arise as a result of the self-gravitational effect. Then we show, one can taking into account the semiclassical corrections of the Cardy-Verlinde entropy formula by just redefining the Virasoro operator $L_0$ and the central charge $c$. |
1905.01101 | Harald Dorn | Harald Dorn | More on Wilson loops for two touching circles | 18 pages, 8 figures, references added, text as appeared in JHEP | JHEP 07 (2019) 088 | 10.1007/JHEP07(2019)088 | HU-EP-19/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate both at leading weak and strong coupling the renormalised
Maldacena-Wilson loop for contours formed by consecutive passage of two
touching circles. At the touching point both circles should have the same
normal direction but form cusps of non-zero opening angle $\alpha$. Particular
emphasis is put on the behaviour in the limit $\alpha\rightarrow 0$ and its
comparison with the spiky situation studied in a previous paper, where $\alpha$
was set to zero before renormalisation.
| [
{
"created": "Fri, 3 May 2019 10:04:26 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2019 09:14:20 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jul 2019 08:20:41 GMT",
"version": "v3"
}
] | 2019-09-04 | [
[
"Dorn",
"Harald",
""
]
] | We calculate both at leading weak and strong coupling the renormalised Maldacena-Wilson loop for contours formed by consecutive passage of two touching circles. At the touching point both circles should have the same normal direction but form cusps of non-zero opening angle $\alpha$. Particular emphasis is put on the behaviour in the limit $\alpha\rightarrow 0$ and its comparison with the spiky situation studied in a previous paper, where $\alpha$ was set to zero before renormalisation. |
hep-th/0210023 | Zhou Bang Rong | Bang-Rong Zhou (Graduate School, Chinese Academy of Sciences, Beijing) | Critical analyses of order parameter and phase transitions at high
density in Gross-Neveu model | 8 pages, ReVTeX, no figure, contents of NJL model have been taken off
and will be stated separately elsewhere | Commun.Theor.Phys.40:67-72,2003 | 10.1088/0253-6102/40/1/67 | AS-GS-TP-006(2002) | hep-th | null | By critical analyses of the order parameter of symmetry breaking, we have
researched the phase transitions at high density in D=2 and D=3 Gross-Neveu
(GN) model and shown that the gap equation obeyed by the dynamical fermion mass
has the same effectivenesss as the effective potentials for such analyses of
all the second order and some special first order phase transitions. In the
meantime we also further ironed out a theoretical divergence and proven that in
D=3 GN model a first order phase transition does occur in the case of zero
temperature and finite chemical potential.
| [
{
"created": "Thu, 3 Oct 2002 05:59:40 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2002 07:56:43 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Dec 2002 02:53:43 GMT",
"version": "v3"
}
] | 2018-01-17 | [
[
"Zhou",
"Bang-Rong",
"",
"Graduate School, Chinese Academy of Sciences, Beijing"
]
] | By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitions at high density in D=2 and D=3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamical fermion mass has the same effectivenesss as the effective potentials for such analyses of all the second order and some special first order phase transitions. In the meantime we also further ironed out a theoretical divergence and proven that in D=3 GN model a first order phase transition does occur in the case of zero temperature and finite chemical potential. |
2112.09000 | Sara Murciano | Sara Murciano, Pasquale Calabrese and Robert M. Konik | Generalized entanglement entropies in two-dimensional conformal field
theory | 29 pages, 4 figures, published version | JHEP 2022, 152 (2022) | 10.1007/JHEP05(2022)152 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and study generalized R\'enyi entropies defined through the
traces of products of ${\rm Tr}_B (|\Psi_i\rangle\langle \Psi_j|)$ where
$|\Psi_i\rangle$ are eigenstates of a two-dimensional conformal field theory
(CFT). When $|\Psi_i\rangle=|\Psi_j\rangle$ these objects reduce to the
standard R\'enyi entropies of the eigenstates of the CFT. Exploiting the path
integral formalism, we show that the second generalized R\'enyi entropies are
equivalent to four-point correlators. We then focus on a free bosonic theory
for which the mode expansion of the fields allows us to develop an efficient
strategy to compute the second generalized R\'enyi entropy for all eigenstates.
As a byproduct, our approach also leads to new results for the standard R\'enyi
and relative entropies involving arbitrary descendent states of the bosonic
CFT.
| [
{
"created": "Thu, 16 Dec 2021 16:32:25 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2022 14:58:52 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Sep 2022 09:44:26 GMT",
"version": "v3"
}
] | 2022-09-21 | [
[
"Murciano",
"Sara",
""
],
[
"Calabrese",
"Pasquale",
""
],
[
"Konik",
"Robert M.",
""
]
] | We introduce and study generalized R\'enyi entropies defined through the traces of products of ${\rm Tr}_B (|\Psi_i\rangle\langle \Psi_j|)$ where $|\Psi_i\rangle$ are eigenstates of a two-dimensional conformal field theory (CFT). When $|\Psi_i\rangle=|\Psi_j\rangle$ these objects reduce to the standard R\'enyi entropies of the eigenstates of the CFT. Exploiting the path integral formalism, we show that the second generalized R\'enyi entropies are equivalent to four-point correlators. We then focus on a free bosonic theory for which the mode expansion of the fields allows us to develop an efficient strategy to compute the second generalized R\'enyi entropy for all eigenstates. As a byproduct, our approach also leads to new results for the standard R\'enyi and relative entropies involving arbitrary descendent states of the bosonic CFT. |
1701.06894 | Hirotaka Sugawara | Hirotaka Sugawara | Current Algebra Formulation of M-theory based on E11 Kac-Moody Algebra | 20 pages, 1 figure, to be published (IJMPA-D-17-00012) | null | 10.1142/S0217751X17500245 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum M-theory is formulated using the current algebra technique. The
current algebra is based on a Kac-Moody algebra rather than usual finite
dimensional Lie algebra. Specifically, I study the $E_{11}$ Kac-Moody algebra
that was shown recently to contain all the ingredients of M-theory. Both the
internal symmetry and the external Lorentz symmetry can be realized inside
$E_{11}$, so that, by constructing the current algebra of $E_{11}$, I obtain
both internal gauge theory and gravity theory. The energy-momentum tensor is
constructed as the bilinear form of the currents, yielding a system of quantum
equations of motion of the currents/fields. Supersymmetry is incorporated in a
natural way. The so-called "field-current identity" is built in and, for
example, the gravitino field is itself a conserved super-current. One
unanticipated outcome is that the quantum gravity equation is not identical to
the one obtained from the Einstein-Hilbert action.
| [
{
"created": "Wed, 18 Jan 2017 01:09:20 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 2017 00:44:31 GMT",
"version": "v2"
}
] | 2017-09-11 | [
[
"Sugawara",
"Hirotaka",
""
]
] | Quantum M-theory is formulated using the current algebra technique. The current algebra is based on a Kac-Moody algebra rather than usual finite dimensional Lie algebra. Specifically, I study the $E_{11}$ Kac-Moody algebra that was shown recently to contain all the ingredients of M-theory. Both the internal symmetry and the external Lorentz symmetry can be realized inside $E_{11}$, so that, by constructing the current algebra of $E_{11}$, I obtain both internal gauge theory and gravity theory. The energy-momentum tensor is constructed as the bilinear form of the currents, yielding a system of quantum equations of motion of the currents/fields. Supersymmetry is incorporated in a natural way. The so-called "field-current identity" is built in and, for example, the gravitino field is itself a conserved super-current. One unanticipated outcome is that the quantum gravity equation is not identical to the one obtained from the Einstein-Hilbert action. |
hep-th/0010174 | Alexander I. Nesterov | Alexander I. Nesterov and Lev V. Sabinin | Smooth Loops, Generalized Coherent States and Geometric Phases | LATeX file, 11 pages | Int.J.Theor.Phys. 36 (1997) 1981-1989 | 10.1007/BF02435954 | null | hep-th math-ph math.MP quant-ph | null | A description of generalized coherent states and geometric phases in the
light of the general theory of smooth loops is given.
| [
{
"created": "Fri, 20 Oct 2000 04:12:19 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Nesterov",
"Alexander I.",
""
],
[
"Sabinin",
"Lev V.",
""
]
] | A description of generalized coherent states and geometric phases in the light of the general theory of smooth loops is given. |
1104.2890 | Timothy Adamo | Tim Adamo, Mathew Bullimore, Lionel Mason, David Skinner | Scattering Amplitudes and Wilson Loops in Twistor Space | 62 pages, 15 figures. v2: typos corrected, additional discussions and
references added | J.Phys.A: Math.Theor. 44: 454008, 2011 | 10.1088/1751-8113/44/45/454008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article reviews the recent progress in twistor approaches to Wilson
loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and
amplitudes are derived from first principles using the twistor action for
maximally supersymmetric Yang-Mills theory. We start by deriving the MHV rules
for gauge theory amplitudes from the twistor action in an axial gauge in
twistor space, and show that this gives rise to the original momentum space
version given by Cachazo, Svrcek and Witten. We then go on to obtain from these
the construction of the momentum twistor space loop integrand using (planar)
MHV rules and show how it arises as the expectation value of a holomorphic
Wilson loop in twistor space. We explain the connection between the holomorphic
Wilson loop and certain light-cone limits of correlation functions. We give a
brief review of other ideas in connection with amplitudes in twistor space:
twistor-strings, recursion in twistor space, the Grassmannian residue formula
for leading singularities and amplitudes as polytopes. This article is an
invited review for a special issue of Journal of Physics A devoted to
`Scattering Amplitudes in Gauge Theories'.
| [
{
"created": "Thu, 14 Apr 2011 19:48:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Aug 2011 11:09:33 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Adamo",
"Tim",
""
],
[
"Bullimore",
"Mathew",
""
],
[
"Mason",
"Lionel",
""
],
[
"Skinner",
"David",
""
]
] | This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally supersymmetric Yang-Mills theory. We start by deriving the MHV rules for gauge theory amplitudes from the twistor action in an axial gauge in twistor space, and show that this gives rise to the original momentum space version given by Cachazo, Svrcek and Witten. We then go on to obtain from these the construction of the momentum twistor space loop integrand using (planar) MHV rules and show how it arises as the expectation value of a holomorphic Wilson loop in twistor space. We explain the connection between the holomorphic Wilson loop and certain light-cone limits of correlation functions. We give a brief review of other ideas in connection with amplitudes in twistor space: twistor-strings, recursion in twistor space, the Grassmannian residue formula for leading singularities and amplitudes as polytopes. This article is an invited review for a special issue of Journal of Physics A devoted to `Scattering Amplitudes in Gauge Theories'. |
hep-th/9309100 | null | D.Boulatov | Critical scaling in the matrix model on the Bethe tree | 12 pp., NBI-93-55 | Mod. Phys. Lett. A9 (1994) 1963-1974 | 10.1142/S0217732394001829 | null | hep-th | null | The matrix model with a Bethe-tree embedding space (coinciding at large $N$
with the Kazakov-Migdal ``induced QCD'' model \cite{KM}) is investigated. We
further elaborate the Riemann-Hilbert approach of \rf{Mig1} assuming certain
holomorphic properties of the solution. The critical scaling (an edge
singularity of the density) is found to be $\gamma_{str} = -\frac{1}{\pi}
\arcos D$, for $|D|<1$, and $\gamma_{str} = -\frac{1}{\pi} \arcos
\frac{D}{2D-1}$, for $D>1$. Explicit solutions are constructed at
$D=\frac{1}{2}$ and $D=\infty$.
| [
{
"created": "Sat, 18 Sep 1993 15:24:17 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Boulatov",
"D.",
""
]
] | The matrix model with a Bethe-tree embedding space (coinciding at large $N$ with the Kazakov-Migdal ``induced QCD'' model \cite{KM}) is investigated. We further elaborate the Riemann-Hilbert approach of \rf{Mig1} assuming certain holomorphic properties of the solution. The critical scaling (an edge singularity of the density) is found to be $\gamma_{str} = -\frac{1}{\pi} \arcos D$, for $|D|<1$, and $\gamma_{str} = -\frac{1}{\pi} \arcos \frac{D}{2D-1}$, for $D>1$. Explicit solutions are constructed at $D=\frac{1}{2}$ and $D=\infty$. |
2406.18296 | Katarzyna S{\l}awi\'nska | Katarzyna S{\l}awi\'nska | Kink-kink solutions in BPS impurity models | 13 pages, 5 figs, typos corrected | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We show that BPS-impurity theories may support BPS kink-kink solutions i.e.,
an energetically degenerated family of solutions describing two kinks at any
mutual distance. This requires a singular impurity. As an example we consider
the sine-Gordon and $\phi^6$ models coupled with such a BPS impurity.
Interestingly, obtained solutions are identical to double sine-Gordon kinks and
Christ-Lee kinks respectively.
We also study the spectral flow on the moduli space. All the modes have an
odd number of nodes to cancel the singularity of the impurity.
| [
{
"created": "Wed, 26 Jun 2024 12:30:08 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2024 10:52:50 GMT",
"version": "v2"
}
] | 2024-07-12 | [
[
"Sławińska",
"Katarzyna",
""
]
] | We show that BPS-impurity theories may support BPS kink-kink solutions i.e., an energetically degenerated family of solutions describing two kinks at any mutual distance. This requires a singular impurity. As an example we consider the sine-Gordon and $\phi^6$ models coupled with such a BPS impurity. Interestingly, obtained solutions are identical to double sine-Gordon kinks and Christ-Lee kinks respectively. We also study the spectral flow on the moduli space. All the modes have an odd number of nodes to cancel the singularity of the impurity. |
2012.15694 | Sabrina Pasterski | Sabrina Pasterski and Andrea Puhm | Shifting Spin on the Celestial Sphere | 42 pages, 8 tables, 1 figure | null | 10.1103/PhysRevD.104.086020 | CPHT-RR095.122020 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore conformal primary wavefunctions for all half integer spins up to
the graviton. Half steps are related by supersymmetry, integer steps by the
classical double copy. The main results are as follows: we 1) introduce a
convenient spin frame and null tetrad to organize all radiative modes of
varying spin; 2) identify the massless spin-3/2 conformal primary wavefunction
as well as the conformally soft Goldstone mode corresponding to large
supersymmetry transformations; 3) indicate how to express a conformal primary
of arbitrary spin in terms of differential operators acting on a scalar
primary; 4) demonstrate that conformal primary metrics satisfy the double copy
in a variety of forms -- operator, Weyl, and Kerr-Schild -- and are exact,
albeit complex, solutions to the fully non-linear Einstein equations of Petrov
type N; 5) propose a novel generalization of conformal primary wavefunctions;
and 6) show that this generalization includes a large class of physically
interesting metrics corresponding to ultra-boosted black holes, shockwaves and
more.
| [
{
"created": "Thu, 31 Dec 2020 16:20:30 GMT",
"version": "v1"
}
] | 2021-10-27 | [
[
"Pasterski",
"Sabrina",
""
],
[
"Puhm",
"Andrea",
""
]
] | We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient spin frame and null tetrad to organize all radiative modes of varying spin; 2) identify the massless spin-3/2 conformal primary wavefunction as well as the conformally soft Goldstone mode corresponding to large supersymmetry transformations; 3) indicate how to express a conformal primary of arbitrary spin in terms of differential operators acting on a scalar primary; 4) demonstrate that conformal primary metrics satisfy the double copy in a variety of forms -- operator, Weyl, and Kerr-Schild -- and are exact, albeit complex, solutions to the fully non-linear Einstein equations of Petrov type N; 5) propose a novel generalization of conformal primary wavefunctions; and 6) show that this generalization includes a large class of physically interesting metrics corresponding to ultra-boosted black holes, shockwaves and more. |
1212.3894 | Andy O'Bannon | Umut Gursoy, Ioannis Iatrakis, Elias Kiritsis, Francesco Nitti and
Andy O'Bannon | The Chern-Simons Diffusion Rate in Improved Holographic QCD | 31 pages, 13 eps files in 11 figures; v2 added one footnote and two
references, version published in JHEP | JHEP 1302:119, 2013 | 10.1007/JHEP02(2013)119 | CCTP-2012-20; DAMTP-2012-75; ITP-UU-12/45; SPIN-12/42 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In (3+1)-dimensional SU(Nc) Yang-Mills (YM) theory, the Chern-Simons
diffusion rate, Gamma_{CS}, is determined by the zero-momentum, zero-frequency
limit of the retarded two-point function of the CP-odd operator tr[F ^ F], with
F the YM field strength. The Chern-Simons diffusion rate is a crucial
ingredient for many CP-odd phenomena, including the chiral magnetic effect in
the quark-gluon plasma. We compute Gamma_{CS} in the high-temperature,
deconfined phase of Improved Holographic QCD, a refined holographic model for
large-Nc YM theory. Our result for Gamma_{CS}/(sT), where s is entropy density
and T is temperature, varies slowly at high T and increases monotonically as T
approaches the transition temperature from above. We also study the retarded
two-point function of tr[F ^ F] with non-zero frequency and momentum. Our
results suggest that the CP-odd phenomena that may potentially occur in heavy
ion collisions could be controlled by an excitation with energy on the order of
the lightest axial glueball mass.
| [
{
"created": "Mon, 17 Dec 2012 05:47:41 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Aug 2013 13:51:04 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Gursoy",
"Umut",
""
],
[
"Iatrakis",
"Ioannis",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Nitti",
"Francesco",
""
],
[
"O'Bannon",
"Andy",
""
]
] | In (3+1)-dimensional SU(Nc) Yang-Mills (YM) theory, the Chern-Simons diffusion rate, Gamma_{CS}, is determined by the zero-momentum, zero-frequency limit of the retarded two-point function of the CP-odd operator tr[F ^ F], with F the YM field strength. The Chern-Simons diffusion rate is a crucial ingredient for many CP-odd phenomena, including the chiral magnetic effect in the quark-gluon plasma. We compute Gamma_{CS} in the high-temperature, deconfined phase of Improved Holographic QCD, a refined holographic model for large-Nc YM theory. Our result for Gamma_{CS}/(sT), where s is entropy density and T is temperature, varies slowly at high T and increases monotonically as T approaches the transition temperature from above. We also study the retarded two-point function of tr[F ^ F] with non-zero frequency and momentum. Our results suggest that the CP-odd phenomena that may potentially occur in heavy ion collisions could be controlled by an excitation with energy on the order of the lightest axial glueball mass. |
hep-th/0311260 | Shijun Yoshida | Vitor Cardoso, Jose' P.S. Lemos, Shijun Yoshida | Scalar-gravitational perturbations and quasinormal modes in the five
dimensional Schwarzschild black hole | 13 pages, 3 figures; to appear in JHEP | JHEP 0312 (2003) 041 | 10.1088/1126-6708/2003/12/041 | null | hep-th astro-ph gr-qc | null | We calculate the quasinormal modes (QNMs) for gravitational perturbations of
the Schwarzschild black hole in the five dimensional (5D) spacetime with a
continued fraction method. For all the types of perturbations
(scalar-gravitational, vector-gravitational, and tensor-gravitational
perturbations), the QNMs associated with l=2, l=3, and l=4 are calculated. Our
numerical results are summarized as follows: (i) The three types of
gravitational perturbations associated with the same angular quantum number l
have a different set of the quasinormal (QN) frequencies; (ii) There is no
purely imaginary frequency mode; (iii) The three types of gravitational
perturbations have the same asymptotic behavior of the QNMs in the limit of the
large imaginary frequencies. In Hawking temperature units these frequencies are
given by log3 + i2pi(n+1/2) as n goes to infinity, where n is the mode number.
| [
{
"created": "Wed, 26 Nov 2003 19:43:23 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Dec 2003 18:05:30 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cardoso",
"Vitor",
""
],
[
"Lemos",
"Jose' P. S.",
""
],
[
"Yoshida",
"Shijun",
""
]
] | We calculate the quasinormal modes (QNMs) for gravitational perturbations of the Schwarzschild black hole in the five dimensional (5D) spacetime with a continued fraction method. For all the types of perturbations (scalar-gravitational, vector-gravitational, and tensor-gravitational perturbations), the QNMs associated with l=2, l=3, and l=4 are calculated. Our numerical results are summarized as follows: (i) The three types of gravitational perturbations associated with the same angular quantum number l have a different set of the quasinormal (QN) frequencies; (ii) There is no purely imaginary frequency mode; (iii) The three types of gravitational perturbations have the same asymptotic behavior of the QNMs in the limit of the large imaginary frequencies. In Hawking temperature units these frequencies are given by log3 + i2pi(n+1/2) as n goes to infinity, where n is the mode number. |
1608.04387 | Stephen G. Naculich | Robert W. Brown and Stephen G. Naculich | BCJ relations from a new symmetry of gauge-theory amplitudes | 52 pages, 7 figures; v2: various clarifications, added figures and
references, published version | null | 10.1007/JHEP10(2016)130 | BOW-PH-162, MCTP-16-17 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new set of symmetries obeyed by tree-level gauge-theory
amplitudes involving at least one gluon. The symmetry acts as a
momentum-dependent shift on the color factors of the amplitude. Using the
radiation vertex expansion, we prove the invariance under this color-factor
shift of the $n$-gluon amplitude, as well as amplitudes involving massless or
massive particles in an arbitrary representation of the gauge group with spin
zero, one-half, or one. The Bern-Carrasco-Johansson relations are a direct
consequence of this symmetry.
We also introduce the cubic vertex expansion of an amplitude, and use it to
derive a generalized-gauge-invariant constraint on the kinematic numerators of
the amplitude. We show that the amplitudes of the bi-adjoint scalar theory are
invariant under the color-factor symmetry, and use this to derive the null
eigenvectors of the propagator matrix.
We generalize the color-factor shift to loop level, and prove the invariance
under this shift of one-loop $n$-gluon amplitudes in any theory that admits a
color-kinematic-dual representation of numerators. We show that the one-loop
color-factor symmetry implies known relations among the integrands of one-loop
color-ordered amplitudes.
| [
{
"created": "Mon, 15 Aug 2016 20:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2016 23:40:21 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Brown",
"Robert W.",
""
],
[
"Naculich",
"Stephen G.",
""
]
] | We introduce a new set of symmetries obeyed by tree-level gauge-theory amplitudes involving at least one gluon. The symmetry acts as a momentum-dependent shift on the color factors of the amplitude. Using the radiation vertex expansion, we prove the invariance under this color-factor shift of the $n$-gluon amplitude, as well as amplitudes involving massless or massive particles in an arbitrary representation of the gauge group with spin zero, one-half, or one. The Bern-Carrasco-Johansson relations are a direct consequence of this symmetry. We also introduce the cubic vertex expansion of an amplitude, and use it to derive a generalized-gauge-invariant constraint on the kinematic numerators of the amplitude. We show that the amplitudes of the bi-adjoint scalar theory are invariant under the color-factor symmetry, and use this to derive the null eigenvectors of the propagator matrix. We generalize the color-factor shift to loop level, and prove the invariance under this shift of one-loop $n$-gluon amplitudes in any theory that admits a color-kinematic-dual representation of numerators. We show that the one-loop color-factor symmetry implies known relations among the integrands of one-loop color-ordered amplitudes. |
1004.3734 | Jerome Martin | Larissa Lorenz, Jerome Martin and Jun'ichi Yokoyama | Geometrically Consistent Approach to Stochastic DBI Inflation | 20 pages, 3 figures | Phys.Rev.D82:023515,2010 | 10.1103/PhysRevD.82.023515 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stochastic effects during inflation can be addressed by averaging the quantum
inflaton field over Hubble-patch sized domains. The averaged field then obeys a
Langevin-type equation into which short-scale fluctuations enter as a noise
term. We solve the Langevin equation for a inflaton field with Dirac Born
Infeld (DBI) kinetic term perturbatively in the noise and use the result to
determine the field value's Probability Density Function (PDF). In this
calculation, both the shape of the potential and the warp factor are arbitrary
functions, and the PDF is obtained with and without volume effects due to the
finite size of the averaging domain. DBI kinetic terms typically arise in
string-inspired inflationary scenarios in which the scalar field is associated
with some distance within the (compact) extra dimensions. The inflaton's
accessible range of field values therefore is limited because of the extra
dimensions' finite size. We argue that in a consistent stochastic approach the
distance-inflaton's PDF must vanish for geometrically forbidden field values.
We propose to implement these extra-dimensional spatial restrictions into the
PDF by installing absorbing (or reflecting) walls at the respective boundaries
in field space. As a toy model, we consider a DBI inflaton between two
absorbing walls and use the method of images to determine its most general PDF.
The resulting PDF is studied in detail for the example of a quartic warp factor
and a chaotic inflaton potential. The presence of the walls is shown to affect
the inflaton trajectory for a given set of parameters.
| [
{
"created": "Wed, 21 Apr 2010 16:07:46 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Lorenz",
"Larissa",
""
],
[
"Martin",
"Jerome",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | Stochastic effects during inflation can be addressed by averaging the quantum inflaton field over Hubble-patch sized domains. The averaged field then obeys a Langevin-type equation into which short-scale fluctuations enter as a noise term. We solve the Langevin equation for a inflaton field with Dirac Born Infeld (DBI) kinetic term perturbatively in the noise and use the result to determine the field value's Probability Density Function (PDF). In this calculation, both the shape of the potential and the warp factor are arbitrary functions, and the PDF is obtained with and without volume effects due to the finite size of the averaging domain. DBI kinetic terms typically arise in string-inspired inflationary scenarios in which the scalar field is associated with some distance within the (compact) extra dimensions. The inflaton's accessible range of field values therefore is limited because of the extra dimensions' finite size. We argue that in a consistent stochastic approach the distance-inflaton's PDF must vanish for geometrically forbidden field values. We propose to implement these extra-dimensional spatial restrictions into the PDF by installing absorbing (or reflecting) walls at the respective boundaries in field space. As a toy model, we consider a DBI inflaton between two absorbing walls and use the method of images to determine its most general PDF. The resulting PDF is studied in detail for the example of a quartic warp factor and a chaotic inflaton potential. The presence of the walls is shown to affect the inflaton trajectory for a given set of parameters. |
hep-th/0003286 | Chris Pope | M. Cvetic, H. Lu and C.N. Pope | Consistent Kaluza-Klein Sphere Reductions | 27 pages, Latex, typo corrected | Phys.Rev.D62:064028,2000 | 10.1103/PhysRevD.62.064028 | null | hep-th | null | We study the circumstances under which a Kaluza-Klein reduction on an
n-sphere, with a massless truncation that includes all the Yang-Mills fields of
SO(n+1), can be consistent at the full non-linear level. We take as the
starting point a theory comprising a p-form field strength and (possibly) a
dilaton, coupled to gravity in the higher dimension D. We show that aside from
the previously-studied cases with (D,p)=(11,4) and (10,5) (associated with the
S^4 and S^7 reductions of D=11 supergravity, and the S^5 reduction of type IIB
supergravity), the only other possibilities that allow consistent reductions
are for p=2, reduced on S^2, and for p=3, reduced on S^3 or S^{D-3}. We
construct the fully non-linear Kaluza-Klein Ansatze in all these cases. In
particular, we obtain D=3, N=8, SO(8) and D=7, N=2, SO(4) gauged supergravities
from S^7 and S^3 reductions of N=1 supergravity in D=10.
| [
{
"created": "Thu, 30 Mar 2000 23:09:13 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2000 15:45:40 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We study the circumstances under which a Kaluza-Klein reduction on an n-sphere, with a massless truncation that includes all the Yang-Mills fields of SO(n+1), can be consistent at the full non-linear level. We take as the starting point a theory comprising a p-form field strength and (possibly) a dilaton, coupled to gravity in the higher dimension D. We show that aside from the previously-studied cases with (D,p)=(11,4) and (10,5) (associated with the S^4 and S^7 reductions of D=11 supergravity, and the S^5 reduction of type IIB supergravity), the only other possibilities that allow consistent reductions are for p=2, reduced on S^2, and for p=3, reduced on S^3 or S^{D-3}. We construct the fully non-linear Kaluza-Klein Ansatze in all these cases. In particular, we obtain D=3, N=8, SO(8) and D=7, N=2, SO(4) gauged supergravities from S^7 and S^3 reductions of N=1 supergravity in D=10. |
hep-th/0101138 | Dmitrij Fursaev | V.P. Frolov and D.V. Fursaev | Black Holes with Polyhedral Multi-String Configurations | 9 pages, latex file, 1 figure, 2 new references and comments | Class.Quant.Grav. 18 (2001) 1535-1542 | 10.1088/0264-9381/18/8/309 | null | hep-th gr-qc | null | We find exact solutions of the Einstein equations which describe a black hole
pierced by infinitely thin cosmic strings. The string segments enter the black
hole along the radii and their positions coincide with the symmetry axes of a
regular polyhedron. Each string produces an angle deficit proportional to its
tension, while the metric outside the strings is locally Schwarzschild one.
There are three configurations corresponding to tetrahedra, octahedra and
icosahedra where the number of string segments is 14, 26 and 62, respectively.
There is also a "double pyramid" configuration where the number of string
segments is not fixed. There can be two or three independent types of strings
in one configuration. Tensions of strings belonging to the same type are equal.
Analogous polyhedral multi-string configurations can be combined with other
spherically symmetric solutions of the Einstein equations.
| [
{
"created": "Sat, 20 Jan 2001 12:35:59 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jan 2001 16:05:16 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Frolov",
"V. P.",
""
],
[
"Fursaev",
"D. V.",
""
]
] | We find exact solutions of the Einstein equations which describe a black hole pierced by infinitely thin cosmic strings. The string segments enter the black hole along the radii and their positions coincide with the symmetry axes of a regular polyhedron. Each string produces an angle deficit proportional to its tension, while the metric outside the strings is locally Schwarzschild one. There are three configurations corresponding to tetrahedra, octahedra and icosahedra where the number of string segments is 14, 26 and 62, respectively. There is also a "double pyramid" configuration where the number of string segments is not fixed. There can be two or three independent types of strings in one configuration. Tensions of strings belonging to the same type are equal. Analogous polyhedral multi-string configurations can be combined with other spherically symmetric solutions of the Einstein equations. |
hep-th/9804124 | Eric D'Hoker | E. D'Hoker and D.H. Phong | Calogero-Moser Lax Pairs with Spectral Parameter for General Lie
Algebras | 84 pages, Plain TeX, 1 figure; minor typos corrected, 2 refs added | Nucl.Phys. B530 (1998) 537-610 | 10.1016/S0550-3213(98)00568-9 | UCLA/98/TEP/9 | hep-th nlin.SI solv-int | null | We construct a Lax pair with spectral parameter for the elliptic
Calogero-Moser Hamiltonian systems associated with each of the finite
dimensional Lie algebras, of the classical and of the exceptional type. When
the spectral parameter equals one of the three half periods of the elliptic
curve, our result for the classical Lie algebras reduces to one of the Lax
pairs without spectral parameter that were known previously. These
Calogero-Moser systems are invariant under the Weyl group of the associated
untwisted affine Lie algebra. For non-simply laced Lie algebras, we introduce
new integrable systems, naturally associated with twisted affine Lie algebras,
and construct their Lax operators with spectral parameter (except in the case
of $G_2$).
| [
{
"created": "Sun, 19 Apr 1998 18:30:03 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 1998 22:53:40 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"D'Hoker",
"E.",
""
],
[
"Phong",
"D. H.",
""
]
] | We construct a Lax pair with spectral parameter for the elliptic Calogero-Moser Hamiltonian systems associated with each of the finite dimensional Lie algebras, of the classical and of the exceptional type. When the spectral parameter equals one of the three half periods of the elliptic curve, our result for the classical Lie algebras reduces to one of the Lax pairs without spectral parameter that were known previously. These Calogero-Moser systems are invariant under the Weyl group of the associated untwisted affine Lie algebra. For non-simply laced Lie algebras, we introduce new integrable systems, naturally associated with twisted affine Lie algebras, and construct their Lax operators with spectral parameter (except in the case of $G_2$). |
1810.07057 | Georgios Korpas | Georgios Korpas | Donaldson-Witten theory, surface operators and mock modular forms | Comments are welcome | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the $u$-plane integral of the topologically twisted
$\mathcal{N}=2$ super Yang-Mills theory, the Donaldson-Witten theory, on a
closed four-manifold $X$ with embedded surfaces that support supersymmetric
surface operators. This integral mathematically corresponds to the generating
function of the ramified Donaldson invariants of $X$. By including a
$\overline{\mathcal{Q}}$-exact deformation to the $u$-plane integral we are
able to re-express its integrand in terms of a total derivative with respect to
an indefinite theta function, a special kind of mock modular form. We show that
for specific K\"ahler surfaces of Kodaira dimension $-\infty$ the integral
localizes at the cusp at infinity of the Coulomb branch of the theory.
| [
{
"created": "Tue, 16 Oct 2018 14:57:47 GMT",
"version": "v1"
}
] | 2018-10-17 | [
[
"Korpas",
"Georgios",
""
]
] | We revisit the $u$-plane integral of the topologically twisted $\mathcal{N}=2$ super Yang-Mills theory, the Donaldson-Witten theory, on a closed four-manifold $X$ with embedded surfaces that support supersymmetric surface operators. This integral mathematically corresponds to the generating function of the ramified Donaldson invariants of $X$. By including a $\overline{\mathcal{Q}}$-exact deformation to the $u$-plane integral we are able to re-express its integrand in terms of a total derivative with respect to an indefinite theta function, a special kind of mock modular form. We show that for specific K\"ahler surfaces of Kodaira dimension $-\infty$ the integral localizes at the cusp at infinity of the Coulomb branch of the theory. |
1202.5769 | Shuang-Yong Zhou | Shuang-Yong Zhou | Note on the Stabilities of the Light-like Galileon Solutions | 6 pages, minor improvement of wording in page 3 | Phys.Rev. D85 (2012) 104005 | 10.1103/PhysRevD.85.104005 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Light-like galileon solutions have been used to investigate the chronology
problem in galileon-like theories, and in some cases may also be considered as
solitons, evading a non-existence constraint from a zero-mode argument. Their
stabilities have been analyzed via "local" approximation, which appears to
suggest that all these light-like solutions are stable. We re-analyze the
stability problem by solving the linear perturbation equation \emph{exactly},
and point out that the finite energy condition is essential for the light-like
solitons to be stable. We also clarify potential ghost instabilities and why
the zero-mode argument can not be naively generalized to include the light-like
solitons.
| [
{
"created": "Sun, 26 Feb 2012 15:59:46 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2014 17:18:05 GMT",
"version": "v2"
}
] | 2014-06-30 | [
[
"Zhou",
"Shuang-Yong",
""
]
] | Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint from a zero-mode argument. Their stabilities have been analyzed via "local" approximation, which appears to suggest that all these light-like solutions are stable. We re-analyze the stability problem by solving the linear perturbation equation \emph{exactly}, and point out that the finite energy condition is essential for the light-like solitons to be stable. We also clarify potential ghost instabilities and why the zero-mode argument can not be naively generalized to include the light-like solitons. |
hep-th/0402169 | Hugo Garcia-Compean | Hugo Garcia-Compean, Pablo Paniagua | A Noncommutative Deformation of Topological Field Theory | 11+1 pages, revtex4, no figures | Gen.Rel.Grav. 37 (2005) 723-731 | 10.1007/s10714-005-0058-3 | CINVESTAV-FIS-04-08 | hep-th | null | Cohomological Yang-Mills theory is formulated on a noncommutative
differentiable four manifold through the $\theta$-deformation of its
corresponding BRST algebra. The resulting noncommutative field theory is a
natural setting to define the $\theta$-deformation of Donaldson invariants and
they are interpreted as a mapping between the Chevalley-Eilenberg homology of
noncommutative spacetime and the Chevalley-Eilenberg cohomology of
noncommutative moduli of instantons. In the process we find that in the weak
coupling limit the quantum theory is localized at the moduli space of
noncommutative instantons.
| [
{
"created": "Sat, 21 Feb 2004 00:50:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Garcia-Compean",
"Hugo",
""
],
[
"Paniagua",
"Pablo",
""
]
] | Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $\theta$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the $\theta$-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons. |
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