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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0908.0797 | Ayan Mukhopadhyay | Ayan Mukhopadhyay | A Covariant Form of the Navier-Stokes Equation for the Galilean
Conformal Algebra | 33 pages; accepted for publication in JHEP | JHEP 1001:100,2010 | 10.1007/JHEP01(2010)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that the Navier-Stokes equation can be covariantized under the
full infinite dimensional Galilean Conformal Algebra (GCA), such that it
reduces to the usual Navier-Stokes equation in an inertial frame. The
covariantization is possible only for incompressible flows, i.e when the
divergence of the veloci... | [
{
"created": "Thu, 6 Aug 2009 05:35:22 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2009 13:47:30 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2009 05:35:57 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Dec 2009 05:19:13 GMT",
"version": "v4"
}
] | 2014-11-20 | [
[
"Mukhopadhyay",
"Ayan",
""
]
] | We demonstrate that the Navier-Stokes equation can be covariantized under the full infinite dimensional Galilean Conformal Algebra (GCA), such that it reduces to the usual Navier-Stokes equation in an inertial frame. The covariantization is possible only for incompressible flows, i.e when the divergence of the velocity... |
hep-th/0312134 | Arjan Keurentjes | Arjan Keurentjes | U-duality (sub-)groups and their topology | LaTeX, 8 pages, 2 tables, 1 figure, uses IOP-style files. Contributed
to the proceedings of the RTN-workshop ``The quantum structure of space-time
and the geometrical nature of the fundamental interactions,'', Copenhagen,
Denmark, september 2003 | Class.Quant.Grav. 21 (2004) S1367-1374 | 10.1088/0264-9381/21/10/009 | null | hep-th | null | We discuss some consequences of the fact that symmetry groups appearing in
compactified (super-)gravity may be non-simply connected. The possibility to
add fermions to a theory results in a simple criterion to decide whether a
3-dimensional coset sigma model can be interpreted as a dimensional reduction
of a higher d... | [
{
"created": "Fri, 12 Dec 2003 12:29:30 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Keurentjes",
"Arjan",
""
]
] | We discuss some consequences of the fact that symmetry groups appearing in compactified (super-)gravity may be non-simply connected. The possibility to add fermions to a theory results in a simple criterion to decide whether a 3-dimensional coset sigma model can be interpreted as a dimensional reduction of a higher dim... |
hep-th/9807219 | Antonio Lima Santos | A. Lima-Santos | Bethe Ansatze for 19-vertex Models | 30 pages, Latex, references added, no signficant changes | J.Phys.A32:1819-1839,1999 | 10.1088/0305-4470/32/10/004 | null | hep-th | null | The nineteen-vertex models of Zamolodchikov-Fateev, Izergin-Korepin and the
supersymmetric osp(1|2) with periodic boundary conditions are studied. We find
the spectrum of these quantum spin chains using the Coordinate Bethe Ansatz.
The approche is a suitable parametrization of their wavefunctions. We also
applied the... | [
{
"created": "Wed, 29 Jul 1998 15:29:09 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 1999 15:50:34 GMT",
"version": "v2"
}
] | 2010-04-08 | [
[
"Lima-Santos",
"A.",
""
]
] | The nineteen-vertex models of Zamolodchikov-Fateev, Izergin-Korepin and the supersymmetric osp(1|2) with periodic boundary conditions are studied. We find the spectrum of these quantum spin chains using the Coordinate Bethe Ansatz. The approche is a suitable parametrization of their wavefunctions. We also applied the A... |
hep-th/0212189 | Kholodenko Arkady L. | Arkady L. Kholodenko | "New" Veneziano amplitudes from "old" Fermat (hyper) surfaces | 92 pages LaTex, some typos removed, discussion section is added along
with several additional latest references | Int.J.Mod.Phys. 19 (2004) 1665-1703 | 10.1142/S0217751X04018166 | null | hep-th math-ph math.MP | null | The history of discovery of bosonic string theory is well documented. This
theory evolved as an attempt to find a multidimensional analogue of Euler's
beta function. Such an analogue had in fact been known in mathematics
literature at least in 1922 and was studied subsequently by mathematicians such
as Selberg, Weil ... | [
{
"created": "Mon, 16 Dec 2002 22:14:55 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2002 17:33:59 GMT",
"version": "v2"
},
{
"created": "Thu, 15 May 2003 22:21:25 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kholodenko",
"Arkady L.",
""
]
] | The history of discovery of bosonic string theory is well documented. This theory evolved as an attempt to find a multidimensional analogue of Euler's beta function. Such an analogue had in fact been known in mathematics literature at least in 1922 and was studied subsequently by mathematicians such as Selberg, Weil an... |
1406.6574 | Jan Plefka | Johannes Broedel, Marius de Leeuw, Jan Plefka, Matteo Rosso | Constraining subleading soft gluon and graviton theorems | 17 pages. v2: Two references fixed, half sentence after eq. (13)
added. v3: Terms in eq. (48) for S2G corrected | Phys. Rev. D 90, 065024 (2014) | 10.1103/PhysRevD.90.065024 | HU-EP-14/20 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the form of the recently proposed subleading soft graviton and
gluon theorems in any dimension are severely constrained by elementary
arguments based on Poincar\'e and gauge invariance as well as a
self-consistency condition arising from the distributional nature of scattering
amplitudes. Combined with t... | [
{
"created": "Wed, 25 Jun 2014 14:04:39 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jun 2014 12:46:16 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Jul 2014 14:15:35 GMT",
"version": "v3"
}
] | 2014-09-24 | [
[
"Broedel",
"Johannes",
""
],
[
"de Leeuw",
"Marius",
""
],
[
"Plefka",
"Jan",
""
],
[
"Rosso",
"Matteo",
""
]
] | We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition arising from the distributional nature of scattering amplitudes. Combined with the... |
2102.07776 | Murad Alim | Murad Alim | Intrinsic non-perturbative topological strings | 35 pages, fixed an error in Prop. 4.2, added a remark on a previous
different analytic continuation of the resolved conifold free energies in Rem
4.7 and fixed several typos | null | null | null | hep-th math-ph math.AG math.MP | http://creativecommons.org/licenses/by/4.0/ | We study difference equations which are obtained from the asymptotic
expansion of topological string theory on the deformed and the resolved
conifold geometries as well as for topological string theory on arbitrary
families of Calabi-Yau manifolds near generic singularities at finite distance
in the moduli space. Ana... | [
{
"created": "Mon, 15 Feb 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 2021 15:00:37 GMT",
"version": "v2"
}
] | 2021-04-19 | [
[
"Alim",
"Murad",
""
]
] | We study difference equations which are obtained from the asymptotic expansion of topological string theory on the deformed and the resolved conifold geometries as well as for topological string theory on arbitrary families of Calabi-Yau manifolds near generic singularities at finite distance in the moduli space. Analy... |
hep-th/0402117 | Jerzy Lukierski | Jerzy Lukierski (Inst. Theor. Phys. Wroclaw University) | Relation between quantum $\kappa$-Poincar\'{e} framework and Doubly
Special Relativity | 12 pages, LaTeX style changed.Text file not changed. The paper will
appear in the Proceedings of the International Workshop "Supersymmetries and
Quantum Symmetries" (SQS'03 July 2003), Dubna 2004, Eds. E. Ivanov, A.
Pashnev | null | null | null | hep-th | null | We describe firstly the basic features of quantum $\kappa$-Poincar\'{e}
symmetries with their Hopf algebra structure. The quantum $\kappa$-Poincar\'{e}
framework in any basis relates rigidly the quantum $\kappa$-Poincar\'{e}
algebra with quantum $\kappa$-Poincar\'{e} group, noncommutative space-time and
$\kappa$-defo... | [
{
"created": "Mon, 16 Feb 2004 12:50:06 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Feb 2004 09:03:05 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Lukierski",
"Jerzy",
"",
"Inst. Theor. Phys. Wroclaw University"
]
] | We describe firstly the basic features of quantum $\kappa$-Poincar\'{e} symmetries with their Hopf algebra structure. The quantum $\kappa$-Poincar\'{e} framework in any basis relates rigidly the quantum $\kappa$-Poincar\'{e} algebra with quantum $\kappa$-Poincar\'{e} group, noncommutative space-time and $\kappa$-deform... |
hep-th/9605071 | N. A. Papadopoulos | H. M. Bosselmann, N.A. Papadopoulos | TG-Equivariance of Connections and Gauge Transformations | 12 pages | null | null | null | hep-th | null | We consider the notion of a connection on a principal bundle $P(M,G)$ from
the point of view of the action of the tangential group $TG$. This leads to a
new definition of a connection and allows to interpret gauge transformations as
effect of the $TG$ action.
| [
{
"created": "Thu, 9 May 1996 18:44:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bosselmann",
"H. M.",
""
],
[
"Papadopoulos",
"N. A.",
""
]
] | We consider the notion of a connection on a principal bundle $P(M,G)$ from the point of view of the action of the tangential group $TG$. This leads to a new definition of a connection and allows to interpret gauge transformations as effect of the $TG$ action. |
1302.2939 | Christopher Ford | Bobby Cheng and Chris Ford | Fermion Zero Modes for Abelian BPS Monopoles | 6 pages, 1 figure | null | 10.1016/j.physletb.2013.02.022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fermion zero modes for abelian BPS monopoles are considered. In the
spherically symmetric case the normalisable zero modes are determined for
arbitrary monopole charge N. If N>1 the zero modes are zero along $N-1$
half-lines emanating from the monopole.
| [
{
"created": "Tue, 12 Feb 2013 22:23:25 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Cheng",
"Bobby",
""
],
[
"Ford",
"Chris",
""
]
] | Fermion zero modes for abelian BPS monopoles are considered. In the spherically symmetric case the normalisable zero modes are determined for arbitrary monopole charge N. If N>1 the zero modes are zero along $N-1$ half-lines emanating from the monopole. |
1107.2917 | Diego Hofman | Diego M. Hofman and Andrew Strominger | Chiral Scale and Conformal Invariance in 2D Quantum Field Theory | 6 pages, no figures. v2: reference added, minor typos corrected | null | 10.1103/PhysRevLett.107.161601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that a local, unitary Poincare-invariant 2D QFT with a
global scaling symmetry and a discrete non-negative spectrum of scaling
dimensions necessarily has both a left and a right local conformal symmetry. In
this paper we consider a chiral situation beginning with only a left global
scaling symmetry a... | [
{
"created": "Thu, 14 Jul 2011 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2011 15:21:45 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Hofman",
"Diego M.",
""
],
[
"Strominger",
"Andrew",
""
]
] | It is well known that a local, unitary Poincare-invariant 2D QFT with a global scaling symmetry and a discrete non-negative spectrum of scaling dimensions necessarily has both a left and a right local conformal symmetry. In this paper we consider a chiral situation beginning with only a left global scaling symmetry and... |
hep-th/0610106 | Qing-Guo Huang | Qing-Guo Huang | Weak Gravity Conjecture with Large Extra Dimensions | 8 pages; Refs added, version for publication in PLB | Phys.Lett.B658:155-157,2008 | 10.1016/j.physletb.2007.03.051 | null | hep-th hep-ph | null | In the presence of large extra dimensions, the fundamental Planck scale can
be much lower than the apparent four-dimensional Planck scale. In this setup,
the weak gravity conjecture implies a much more stringent constraint on the UV
cutoff for the U(1) gauge theory in four dimensions. This new energy scale may
be rel... | [
{
"created": "Tue, 10 Oct 2006 00:54:50 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2007 01:31:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Huang",
"Qing-Guo",
""
]
] | In the presence of large extra dimensions, the fundamental Planck scale can be much lower than the apparent four-dimensional Planck scale. In this setup, the weak gravity conjecture implies a much more stringent constraint on the UV cutoff for the U(1) gauge theory in four dimensions. This new energy scale may be relev... |
1111.7293 | Olaf Hohm | Olaf Hohm and Seung Ki Kwak | N=1 Supersymmetric Double Field Theory | 22 pages, v2: minor corrections, ref. added, to appear in JHEP | null | 10.1007/JHEP03(2012)080 | MIT-CTP-4328; LMU-ASC 74/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the N=1 supersymmetric extension of double field theory for
D=10, including the coupling to an arbitrary number n of abelian vector
multiplets. This theory features a local O(1,9+n) x O(1,9) tangent space
symmetry under which the fermions transform. It is shown that the supersymmetry
transformations clos... | [
{
"created": "Wed, 30 Nov 2011 20:03:13 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2012 11:03:57 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Hohm",
"Olaf",
""
],
[
"Kwak",
"Seung Ki",
""
]
] | We construct the N=1 supersymmetric extension of double field theory for D=10, including the coupling to an arbitrary number n of abelian vector multiplets. This theory features a local O(1,9+n) x O(1,9) tangent space symmetry under which the fermions transform. It is shown that the supersymmetry transformations close ... |
hep-th/9408119 | Terry Gannon | Terry Gannon | The Classification of SU(m)_{k} Automorphism Invariants | 8 pp. (plain tex) | null | null | null | hep-th | null | In this paper we find all permutations of the level k weights of the affine
algebra A_r^{(1)} which commute with both its S and T modular matrices. We find
that all of these are simple current automorphisms and their conjugations.
Previously, the A_{r,k}^{(1)} automorphism invariants were known only for r=1,2
\forall... | [
{
"created": "Mon, 22 Aug 1994 13:40:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gannon",
"Terry",
""
]
] | In this paper we find all permutations of the level k weights of the affine algebra A_r^{(1)} which commute with both its S and T modular matrices. We find that all of these are simple current automorphisms and their conjugations. Previously, the A_{r,k}^{(1)} automorphism invariants were known only for r=1,2 \forall k... |
2007.00034 | Eftychia Sagkrioti | Eftychia Sagkrioti | A generalized method for all-loop results in $\lambda$-models | 29 pages | null | 10.1007/JHEP08(2020)050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the anomalous dimension of the single current operator in the case
of single and doubly deformed asymmetric $\lambda$-models with a general
deformation matrix. Our method uses the underlying geometry of the coupling
space, as well as an auxiliary group interaction, which completely decouples
from the asymm... | [
{
"created": "Tue, 30 Jun 2020 18:04:23 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Sagkrioti",
"Eftychia",
""
]
] | We compute the anomalous dimension of the single current operator in the case of single and doubly deformed asymmetric $\lambda$-models with a general deformation matrix. Our method uses the underlying geometry of the coupling space, as well as an auxiliary group interaction, which completely decouples from the asymmet... |
hep-th/0407130 | Sandip P. Trivedi | Lars Goerlich, Shamit Kachru, Prasanta K. Tripathy and Sandip P.
Trivedi | Gaugino Condensation and Nonperturbative Superpotentials in Flux
Compactifications | 24 pages, harvmac, no figures, references added | JHEP 0412:074,2004 | 10.1088/1126-6708/2004/12/074 | SU-ITP-04, SLAC-PUB-10502,TIFR/TH/04-17 | hep-th | null | There are two known sources of nonperturbative superpotentials for K\"ahler
moduli in type IIB orientifolds, or F-theory compactifications on Calabi-Yau
fourfolds, with flux: Euclidean brane instantons and low-energy dynamics in D7
brane gauge theories. The first class of effects, Euclidean D3 branes which
lift in M-... | [
{
"created": "Thu, 15 Jul 2004 06:30:22 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Aug 2004 10:13:46 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Goerlich",
"Lars",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Tripathy",
"Prasanta K.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | There are two known sources of nonperturbative superpotentials for K\"ahler moduli in type IIB orientifolds, or F-theory compactifications on Calabi-Yau fourfolds, with flux: Euclidean brane instantons and low-energy dynamics in D7 brane gauge theories. The first class of effects, Euclidean D3 branes which lift in M-th... |
hep-th/0007058 | Emery Sokatchev | Sergio Ferrara and Emery Sokatchev | Conformal superfields and BPS states in AdS_4/7 geometries | To appear in the proceedings of the Euroconference ``Noncommutative
geometry and Hopf algebras in field theory and particle physics", Torino,
Villa Gualino (Italy), September 20-30, 1999 | Int.J.Mod.Phys. B14 (2000) 2315 | 10.1142/S0217979200001837 | null | hep-th | null | We carry out a general analysis of the representations of the superconformal
algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present
a construction of their highest-weight UIR's by multiplication of the different
types of massless conformal superfields ("supersingletons"). Particular
attention ... | [
{
"created": "Fri, 7 Jul 2000 10:16:20 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ferrara",
"Sergio",
""
],
[
"Sokatchev",
"Emery",
""
]
] | We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different types of massless conformal superfields ("supersingletons"). Particular attention is... |
hep-th/0304117 | Max Niedermaier | M. Niedermaier | Dimensionally reduced gravity theories are asymptotically safe | 47 pages, Latex, 1 figure | Nucl.Phys. B673 (2003) 131-169 | 10.1016/j.nuclphysb.2003.09.015 | null | hep-th gr-qc | null | 4D Einstein gravity coupled to scalars and abelian gauge fields in its
2-Killing vector reduction is shown to be quasi-renormalizable to all loop
orders at the expense of introducing infinitely many essential couplings. The
latter can be combined into one or two functions of the `area radius'
associated with the two ... | [
{
"created": "Fri, 11 Apr 2003 22:27:48 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Niedermaier",
"M.",
""
]
] | 4D Einstein gravity coupled to scalars and abelian gauge fields in its 2-Killing vector reduction is shown to be quasi-renormalizable to all loop orders at the expense of introducing infinitely many essential couplings. The latter can be combined into one or two functions of the `area radius' associated with the two Ki... |
hep-th/0406171 | Beatriz de Carlos | B. de Carlos, J. Roberts, Y. Schmohe | Moving Five-Branes and Membrane Instantons in Low Energy Heterotic
M-Theory | 19 pages, 7 figures; revtex4 | Phys.Rev. D71 (2005) 026004 | 10.1103/PhysRevD.71.026004 | CERN-PH-TH/2004-106 | hep-th hep-ph | null | We study cosmological solutions in the context of 4-dimensional low energy
Heterotic M-theory with moving bulk branes. In particular we present
non-trivial, analytic axion solutions generated by new symmetries of the full
potential-free action which are similar to 'triple axion' solutions found in
Pre-Big-Bang (PBB) ... | [
{
"created": "Mon, 21 Jun 2004 08:19:52 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"de Carlos",
"B.",
""
],
[
"Roberts",
"J.",
""
],
[
"Schmohe",
"Y.",
""
]
] | We study cosmological solutions in the context of 4-dimensional low energy Heterotic M-theory with moving bulk branes. In particular we present non-trivial, analytic axion solutions generated by new symmetries of the full potential-free action which are similar to 'triple axion' solutions found in Pre-Big-Bang (PBB) co... |
hep-th/0010289 | Troost Jan | Victor Kac and Jan Troost | The stability of vacua in two-dimensional gauge theory | 12 pages, 1 figure | Phys.Lett. B501 (2001) 313-318 | 10.1016/S0370-2693(01)00163-0 | MIT-CTP 3039 | hep-th | null | We discuss the stability of vacua in two-dimensional gauge theory for any
simple, simply connected gauge group. Making use of the representation of a
vacuum in terms of a Wilson line at infinity, we determine which vacua are
stable against pair production of heavy matter in the adjoint of the gauge
group. By calculat... | [
{
"created": "Tue, 31 Oct 2000 14:38:44 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kac",
"Victor",
""
],
[
"Troost",
"Jan",
""
]
] | We discuss the stability of vacua in two-dimensional gauge theory for any simple, simply connected gauge group. Making use of the representation of a vacuum in terms of a Wilson line at infinity, we determine which vacua are stable against pair production of heavy matter in the adjoint of the gauge group. By calculatin... |
1012.3014 | Norman Rink | Nicholas S. Manton, Norman A. Rink | Geometry and Energy of Non-abelian Vortices | 22 pages, 1 figure | J. Math. Phys. 52, 043511 (2011) | 10.1063/1.3574357 | DAMTP-2010-117 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a
compact Riemann surface, and invariance is assumed under rotations of $S^2$. It
is well known that the self-duality equations in this set-up reduce to vortex
equations on $\Sigma$. If the Yang--Mills gauge group is $\SU{2}$, the
Bogomolny vor... | [
{
"created": "Tue, 14 Dec 2010 13:03:13 GMT",
"version": "v1"
}
] | 2011-05-02 | [
[
"Manton",
"Nicholas S.",
""
],
[
"Rink",
"Norman A.",
""
]
] | We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a compact Riemann surface, and invariance is assumed under rotations of $S^2$. It is well known that the self-duality equations in this set-up reduce to vortex equations on $\Sigma$. If the Yang--Mills gauge group is $\SU{2}$, the Bogomolny vorte... |
1309.6574 | David A. Lowe | David A. Lowe, Ilies Messamah, Antun Skanata | Hidden Kerr/CFT at finite frequencies | 23 pages, 6 figures, v2 some typos fixed and references added | Phys. Rev. D 89, 064005 (2014) | 10.1103/PhysRevD.89.064005 | BROWN-HET-1646 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massless fields propagating in a generic Kerr black hole background enjoy a
hidden SL(2,R)xSL(2,R) symmetry. We determine how the exact mode functions
decompose into representations of this symmetry group. This extends earlier
results on the low frequency limit of the massless scalar case to finite
frequencies and ge... | [
{
"created": "Wed, 25 Sep 2013 17:03:43 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2013 00:02:40 GMT",
"version": "v2"
}
] | 2014-03-12 | [
[
"Lowe",
"David A.",
""
],
[
"Messamah",
"Ilies",
""
],
[
"Skanata",
"Antun",
""
]
] | Massless fields propagating in a generic Kerr black hole background enjoy a hidden SL(2,R)xSL(2,R) symmetry. We determine how the exact mode functions decompose into representations of this symmetry group. This extends earlier results on the low frequency limit of the massless scalar case to finite frequencies and gene... |
1703.00455 | Arnav Tripathy | Shamit Kachru and Arnav Tripathy | BPS jumping loci and special cycles | 24 pages. Comments welcome! | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study BPS jumping loci, or the subloci in moduli spaces of supersymmetric
string vacua where BPS states come into existence discontinuously. This
phenomenon is distinct from wall-crossing. We argue that these loci should be
thought of as special cycles in the sense of Noether-Lefschetz loci or special
Shimura subv... | [
{
"created": "Wed, 1 Mar 2017 19:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2017 22:14:00 GMT",
"version": "v2"
}
] | 2017-07-04 | [
[
"Kachru",
"Shamit",
""
],
[
"Tripathy",
"Arnav",
""
]
] | We study BPS jumping loci, or the subloci in moduli spaces of supersymmetric string vacua where BPS states come into existence discontinuously. This phenomenon is distinct from wall-crossing. We argue that these loci should be thought of as special cycles in the sense of Noether-Lefschetz loci or special Shimura subvar... |
hep-th/9702062 | Naohisa Ogawa | Naohisa Ogawa | Pedagogical Introduction to Hamiltonian BRST formalism | 8 pages, No figures, Latex, One small mistake of equation has been
repaired from the first version | null | null | SAKKYO-9702001 | hep-th | null | Hamiltonian BRST formalism (FV formalism) includes many auxiliary fields
without explanation. Its path-integration has a simple form by using BRST
charge, but its construction is quite mechanically and hard to understand
physical meaning. In this paper we perform the phase space path-integral with
requiring BRST inva... | [
{
"created": "Fri, 7 Feb 1997 12:49:30 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 1997 16:55:21 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Ogawa",
"Naohisa",
""
]
] | Hamiltonian BRST formalism (FV formalism) includes many auxiliary fields without explanation. Its path-integration has a simple form by using BRST charge, but its construction is quite mechanically and hard to understand physical meaning. In this paper we perform the phase space path-integral with requiring BRST invari... |
1602.01503 | Yuji Tachikawa | Takahiro Nishinaka and Yuji Tachikawa | On 4d rank-one N=3 superconformal field theories | 24 pages | null | 10.1007/JHEP09(2016)116 | IPMU-16-0009, UT-16-03, YITP-16-8 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of 4d N=3 superconformal field theories whose rank is
one, i.e. those that reduce to a single vector multiplet on their moduli space
of vacua. We find that the moduli space can only be of the form C^3/Z_k for
k=1,2,3,4,6, and that the supersymmetry automatically enhances to N=4 for
k=1,2. In a... | [
{
"created": "Wed, 3 Feb 2016 22:41:21 GMT",
"version": "v1"
}
] | 2016-10-12 | [
[
"Nishinaka",
"Takahiro",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We study the properties of 4d N=3 superconformal field theories whose rank is one, i.e. those that reduce to a single vector multiplet on their moduli space of vacua. We find that the moduli space can only be of the form C^3/Z_k for k=1,2,3,4,6, and that the supersymmetry automatically enhances to N=4 for k=1,2. In add... |
1405.7184 | Diego Rubiera-Garcia | Gonzalo J. Olmo and D. Rubiera-Garcia | Brane-world and loop cosmology from a gravity-matter coupling
perspective | 8 pages, revtex4-1 style | Phys. Lett. B 740 (2015) 73 | 10.1016/j.physletb.2014.11.034 | IFIC/14-51 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the effective brane-world and the loop quantum cosmology
background expansion histories can be reproduced from a modified gravity
perspective in terms of an $f(R)$ gravity action plus a $g(R)$ term
non-minimally coupled with the matter Lagrangian. The reconstruction algorithm
that we provide depends on a... | [
{
"created": "Wed, 28 May 2014 10:26:16 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] | We show that the effective brane-world and the loop quantum cosmology background expansion histories can be reproduced from a modified gravity perspective in terms of an $f(R)$ gravity action plus a $g(R)$ term non-minimally coupled with the matter Lagrangian. The reconstruction algorithm that we provide depends on a f... |
1309.3144 | Sunandan Gangopadhyay | Sunandan Gangopadhyay, Frederik G Scholtz | Path integral action of a particle in a magnetic field in the
noncommutative plane and the Aharonov-Bohm effect | 12 pages Latex, References added, To appear in J.Phys.A | J. Phys. A: Math. Theor. 47 (2014) 075301 | 10.1088/1751-8113/47/7/075301 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The formulation of noncommutative quantum mechanics as a quantum system
represented in the space of Hilbert-Schmidt operators is used to systematically
derive, using the standard time slicing procedure, the path integral action for
a particle moving in the noncommutative plane and in the presence of a magnetic
field ... | [
{
"created": "Thu, 12 Sep 2013 12:59:40 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2014 09:53:13 GMT",
"version": "v2"
}
] | 2014-02-11 | [
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Scholtz",
"Frederik G",
""
]
] | The formulation of noncommutative quantum mechanics as a quantum system represented in the space of Hilbert-Schmidt operators is used to systematically derive, using the standard time slicing procedure, the path integral action for a particle moving in the noncommutative plane and in the presence of a magnetic field an... |
hep-th/9407053 | null | Bo-Yu Hou (Northwest University, Xi'an China), Bo-Yuan Hou (Chinese
Academy of Sciences, Beijing, China), and Zhong-Qi Ma (Institute of High
Energy Physics, Beijing, China) | $q$-Deformed Chern Characters for Quantum Groups $SU_{q}(N)$ | null | J.Math.Phys.36:5110-5138,1995 | 10.1063/1.531217 | BIHEP-TH-94-20 | hep-th math.QA | null | In this paper, we introduce an $N\times N$ matrix $\epsilon^{a\bar{b}}$ in
the quantum groups $SU_{q}(N)$ to transform the conjugate representation into
the standard form so that we are able to compute the explicit forms of the
important quantities in the bicovariant differential calculus on $SU_{q}(N)$,
such as the ... | [
{
"created": "Mon, 11 Jul 1994 20:06:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hou",
"Bo-Yu",
"",
"Northwest University, Xi'an China"
],
[
"Hou",
"Bo-Yuan",
"",
"Chinese\n Academy of Sciences, Beijing, China"
],
[
"Ma",
"Zhong-Qi",
"",
"Institute of High\n Energy Physics, Beijing, China"
]
] | In this paper, we introduce an $N\times N$ matrix $\epsilon^{a\bar{b}}$ in the quantum groups $SU_{q}(N)$ to transform the conjugate representation into the standard form so that we are able to compute the explicit forms of the important quantities in the bicovariant differential calculus on $SU_{q}(N)$, such as the $q... |
hep-th/0002145 | Juan Maldacena | Stephen Hawking, Juan Maldacena and Andrew Strominger | DeSitter entropy, quantum entanglement and ADS/CFT | harvmac, 2 figures | JHEP 0105:001,2001 | 10.1088/1126-6708/2001/05/001 | null | hep-th | null | A deSitter brane-world bounding regions of anti-deSitter space has a
macroscopic entropy given by one-quarter the area of the observer horizon. A
proposed variant of the AdS/CFT correspondence gives a dual description of this
cosmology as conformal field theory coupled to gravity in deSitter space. In
the case of two... | [
{
"created": "Thu, 17 Feb 2000 14:52:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hawking",
"Stephen",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Strominger",
"Andrew",
""
]
] | A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as conformal field theory coupled to gravity in deSitter space. In the case of two-d... |
hep-th/9605231 | Billy D. Jones | Billy D. Jones (1), Robert J. Perry (1), Stanislaw D. Glazek (2) ((1)
The Ohio State University, (2) Warsaw University, Poland) | Analytic Treatment of Positronium Spin Splittings in Light-Front QED | 46 pages, latex, 3 Postscript figures included, section on remaining
corrections added, title changed, error in older version corrected, cutoff
placed in a window | Phys.Rev. D55 (1997) 6561-6583 | 10.1103/PhysRevD.55.6561 | null | hep-th hep-ph nucl-th | null | We study the QED bound-state problem in a light-front hamiltonian approach.
Starting with a bare cutoff QED Hamiltonian, $H_{_{B}}$, with matrix elements
between free states of drastically different energies removed, we perform a
similarity transformation that removes the matrix elements between free states
with ener... | [
{
"created": "Sat, 1 Jun 1996 12:22:45 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jul 1996 16:56:03 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Feb 1997 21:59:52 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Jones",
"Billy D.",
""
],
[
"Perry",
"Robert J.",
""
],
[
"Glazek",
"Stanislaw D.",
""
]
] | We study the QED bound-state problem in a light-front hamiltonian approach. Starting with a bare cutoff QED Hamiltonian, $H_{_{B}}$, with matrix elements between free states of drastically different energies removed, we perform a similarity transformation that removes the matrix elements between free states with energy... |
hep-th/9711002 | Sasha Polyakov | A. Polyakov | String Theory and Quark Confinement | 13 pages, latex; talk at STRINGS'97 | Nucl.Phys.Proc.Suppl. 68 (1998) 1-8 | 10.1016/S0920-5632(98)00135-2 | PUPT-1743 | hep-th | null | This article is based on a talk given at the ``Strings'97'' conference. It
discusses the search for the universality class of confining strings. The key
ingredients include the loop equations, the zigzag symmetry, the non-linear
renormalization group. Some new tests for the equivalence between gauge fields
and string... | [
{
"created": "Sat, 1 Nov 1997 22:45:54 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Polyakov",
"A.",
""
]
] | This article is based on a talk given at the ``Strings'97'' conference. It discusses the search for the universality class of confining strings. The key ingredients include the loop equations, the zigzag symmetry, the non-linear renormalization group. Some new tests for the equivalence between gauge fields and strings ... |
hep-th/0701200 | Rafael Hernandez | Cesar Gomez, Rafael Hernandez | Quantum deformed magnon kinematics | 7 pages. Latex. v2: Misprint corrected. Added references to the
previous elliptic uniformization by N. Beisert and the recent one by I.
Kostov, D. Serban and D. Volin | JHEP 0703:108,2007 | 10.1088/1126-6708/2007/03/108 | null | hep-th | null | The dispersion relation for planar N=4 supersymmetric Yang-Mills is
identified with the Casimir of a quantum deformed two-dimensional kinematical
symmetry, E_q(1,1). The quantum deformed symmetry algebra is generated by the
momentum, energy and boost, with deformation parameter q=e^{2\pi i/\lambda}.
Representing the ... | [
{
"created": "Mon, 22 Jan 2007 16:18:34 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2007 14:33:45 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Gomez",
"Cesar",
""
],
[
"Hernandez",
"Rafael",
""
]
] | The dispersion relation for planar N=4 supersymmetric Yang-Mills is identified with the Casimir of a quantum deformed two-dimensional kinematical symmetry, E_q(1,1). The quantum deformed symmetry algebra is generated by the momentum, energy and boost, with deformation parameter q=e^{2\pi i/\lambda}. Representing the bo... |
1810.09405 | Runqiu Yang | Run-Qiu Yang and Keun-Young Kim | Complexity of operators generated by quantum mechanical Hamiltonians | A revised version and gives more detailed examples on why
"complexity'' in quantum mechanics and quantum field theory should be
bi-invariant | null | 10.1007/JHEP03(2019)010 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose how to compute the complexity of operators generated by
Hamiltonians in quantum field theory (QFT) and quantum mechanics (QM). The
Hamiltonians in QFT/QM and quantum circuit have a few essential differences,
for which we introduce new principles and methods for complexity. We show that
the complexity geome... | [
{
"created": "Mon, 22 Oct 2018 17:06:07 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2019 12:26:03 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Yang",
"Run-Qiu",
""
],
[
"Kim",
"Keun-Young",
""
]
] | We propose how to compute the complexity of operators generated by Hamiltonians in quantum field theory (QFT) and quantum mechanics (QM). The Hamiltonians in QFT/QM and quantum circuit have a few essential differences, for which we introduce new principles and methods for complexity. We show that the complexity geometr... |
0904.3317 | G\'abor Zsolt T\'oth | Gabor Zsolt Toth | On some aspects of the definition of scattering states in quantum field
theory | 20 pages | Cent. Eur. J. Phys. 10 (2012) 349-360 | 10.2478/S11534-011-0119-Z | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of extending quantum-mechanical formal scattering theory to a
more general class of models that also includes quantum field theories is
discussed, with the aim of clarifying certain aspects of the definition of
scattering states. As the strong limit is not suitable for the definition of
scattering states ... | [
{
"created": "Tue, 21 Apr 2009 18:55:53 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2009 18:15:13 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Sep 2011 15:27:54 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Feb 2012 14:23:50 GMT",
"version": "v4"
}
] | 2012-04-17 | [
[
"Toth",
"Gabor Zsolt",
""
]
] | The problem of extending quantum-mechanical formal scattering theory to a more general class of models that also includes quantum field theories is discussed, with the aim of clarifying certain aspects of the definition of scattering states. As the strong limit is not suitable for the definition of scattering states in... |
hep-th/0101130 | Jian Dai | Jian Dai, Xing-Chang Song (Theory Group, Department of Physics, Peking
University) | Noncommutative Geometry of Lattice and Staggered Fermions | Latex; 13 pages; no figures. References added. Accepted by Phys.
Lett. B | Phys.Lett. B508 (2001) 385-391 | 10.1016/S0370-2693(01)00522-6 | null | hep-th hep-lat math-ph math.MP | null | Differential structure of a d-dimensional lattice, which is essentially a
noncommutative exterior algebra, is defined using reductions in first order and
second order of universal differential calculus in the context of
noncommutative geometry (NCG) developed by Dimakis et al. This differential
structure can be reali... | [
{
"created": "Fri, 19 Jan 2001 16:30:42 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2001 08:44:21 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Dai",
"Jian",
"",
"Theory Group, Department of Physics, Peking\n University"
],
[
"Song",
"Xing-Chang",
"",
"Theory Group, Department of Physics, Peking\n University"
]
] | Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using reductions in first order and second order of universal differential calculus in the context of noncommutative geometry (NCG) developed by Dimakis et al. This differential structure can be realize... |
1901.08922 | Miguel Tierz | David Garc\'ia-Garc\'ia and Miguel Tierz | Matrix models for classical groups and Toeplitz$\pm $Hankel minors with
applications to Chern-Simons theory and fermionic models | 32 pages, v2: Several improvements, including a Conclusions and
Outlook section, added. 36 pages | J. Phys. A: Math. Theor. 53 345201 (2020) | 10.1088/1751-8121/ab9b4d | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study matrix integration over the classical Lie groups $U(N),Sp(2N),O(2N)$
and $O(2N+1)$, using symmetric function theory and the equivalent formulation
in terms of determinants and minors of Toeplitz$\pm$Hankel matrices. We
establish a number of factorizations and expansions for such integrals, also
with insertio... | [
{
"created": "Fri, 25 Jan 2019 15:26:54 GMT",
"version": "v1"
},
{
"created": "Sat, 16 May 2020 03:37:05 GMT",
"version": "v2"
}
] | 2020-10-26 | [
[
"García-García",
"David",
""
],
[
"Tierz",
"Miguel",
""
]
] | We study matrix integration over the classical Lie groups $U(N),Sp(2N),O(2N)$ and $O(2N+1)$, using symmetric function theory and the equivalent formulation in terms of determinants and minors of Toeplitz$\pm$Hankel matrices. We establish a number of factorizations and expansions for such integrals, also with insertions... |
1203.6590 | Carl Bender | Carl M. Bender, Daniel W. Hook and S. P. Klevansky | Negative-energy PT-symmetric Hamiltonians | 12 pages, 8 figures | null | 10.1088/1751-8113/45/44/444003 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The non-Hermitian PT-symmetric quantum-mechanical Hamiltonian
$H=p^2+x^2(ix)^\epsilon$ has real, positive, and discrete eigenvalues for all
$\epsilon\geq 0$. These eigenvalues are analytic continuations of the
harmonic-oscillator eigenvalues $E_n=2n+1$ (n=0, 1, 2, 3, ...) at $\epsilon=0$.
However, the harmonic oscill... | [
{
"created": "Thu, 29 Mar 2012 16:55:09 GMT",
"version": "v1"
}
] | 2014-08-28 | [
[
"Bender",
"Carl M.",
""
],
[
"Hook",
"Daniel W.",
""
],
[
"Klevansky",
"S. P.",
""
]
] | The non-Hermitian PT-symmetric quantum-mechanical Hamiltonian $H=p^2+x^2(ix)^\epsilon$ has real, positive, and discrete eigenvalues for all $\epsilon\geq 0$. These eigenvalues are analytic continuations of the harmonic-oscillator eigenvalues $E_n=2n+1$ (n=0, 1, 2, 3, ...) at $\epsilon=0$. However, the harmonic oscillat... |
hep-th/9408092 | Mike Freeman | Michael Freeman | Conserved charges and soliton solutions in affine Toda theory | 18 pages, plain tex, minor changes, references added | Nucl.Phys. B433 (1995) 657-670 | 10.1016/0550-3213(94)00519-K | KCL-TH-94-8 | hep-th | null | We study the conserved charges of affine Toda field theories by making use of
the conformally invariant extension of these theories. We compute the values of
all charges for the single soliton solutions, and show that these are related
to eigenvectors of the Cartan matrix of the finite-dimensional Lie algebra
underly... | [
{
"created": "Tue, 16 Aug 1994 15:35:44 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 1994 15:01:10 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Freeman",
"Michael",
""
]
] | We study the conserved charges of affine Toda field theories by making use of the conformally invariant extension of these theories. We compute the values of all charges for the single soliton solutions, and show that these are related to eigenvectors of the Cartan matrix of the finite-dimensional Lie algebra underlyin... |
hep-th/9111063 | T. R. Govindarajan | R. K. Kaul and T. R. Govindarajan | Three Dimensional Chern-Simons Theory as a Theory of Knots and Links | 45 pages (without figures) | Nucl.Phys. B380 (1992) 293-336 | 10.1016/0550-3213(92)90524-F | null | hep-th math.QA | null | Three dimensional SU(2) Chern-Simons theory has been studied as a topological
field theory to provide a field theoretic description of knots and links in
three dimensions. A systematic method has been developed to obtain the
link-invariants within this field theoretic framework. The monodromy properties
of the correl... | [
{
"created": "Thu, 28 Nov 1991 13:41:35 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kaul",
"R. K.",
""
],
[
"Govindarajan",
"T. R.",
""
]
] | Three dimensional SU(2) Chern-Simons theory has been studied as a topological field theory to provide a field theoretic description of knots and links in three dimensions. A systematic method has been developed to obtain the link-invariants within this field theoretic framework. The monodromy properties of the correlat... |
hep-th/9801129 | Michael Bordag | M Bordag and J Lindig | Radiative Correction to the Casimir Force on a Sphere | 26 pages, 2 figures, subm. to Phys. Rev | Phys.Rev.D58:045003,1998 | 10.1103/PhysRevD.58.045003 | null | hep-th | null | The first radiative correction to the Casimir energy of a perfectly
conducting spherical shell is calculated. The calculation is performed in the
framework of covariant perturbation theory with the boundary conditions
implemented as constraints. The formalism is briefly reviewed and its use is
explained by deriving t... | [
{
"created": "Mon, 19 Jan 1998 15:30:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bordag",
"M",
""
],
[
"Lindig",
"J",
""
]
] | The first radiative correction to the Casimir energy of a perfectly conducting spherical shell is calculated. The calculation is performed in the framework of covariant perturbation theory with the boundary conditions implemented as constraints. The formalism is briefly reviewed and its use is explained by deriving the... |
0708.3045 | Heinz Rothe J | Heinz J. Rothe, Klaus D. Rothe | From the BRST invariant Hamiltonian to the Field-Antifield Formalism | 14 pages | Annals Phys.323:1384-1396,2008 | 10.1016/j.aop.2007.08.006 | HD-THEP-07-13 | hep-th | null | We study the relation between the lagrangian field-antifield formalism and
the BRST invariant phase space formulation of gauge theories. Starting from the
Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way
the equivalence of the phase space, and the lagrangian field-antifield
partition fu... | [
{
"created": "Wed, 22 Aug 2007 16:20:10 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Rothe",
"Heinz J.",
""
],
[
"Rothe",
"Klaus D.",
""
]
] | We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the equivalence of the phase space, and the lagrangian field-antifield partition func... |
2211.05804 | Lara Anderson | Lara B. Anderson, Callum R. Brodie, James Gray | Branes and Bundles through Conifold Transitions and Dualities in
Heterotic String Theory | 49 pages, 6 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Geometric transitions between Calabi-Yau manifolds have proven to be a
powerful tool in exploring the intricate and interconnected vacuum structure of
string compactifications. However, their role in N=1, 4-dimensional string
compactifications remains relatively unexplored. In this work we present a
novel proposal fo... | [
{
"created": "Thu, 10 Nov 2022 19:00:28 GMT",
"version": "v1"
}
] | 2022-11-14 | [
[
"Anderson",
"Lara B.",
""
],
[
"Brodie",
"Callum R.",
""
],
[
"Gray",
"James",
""
]
] | Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in exploring the intricate and interconnected vacuum structure of string compactifications. However, their role in N=1, 4-dimensional string compactifications remains relatively unexplored. In this work we present a novel proposal for ... |
hep-th/9605128 | Thomas Thiemann | Abhay Ashtekar, Jurek Lewandowski, Donald Marolf, Jos\'e Mour\~ao,
Thomas Thiemann | Closed formula for Wilson loops for $SU(N)$ Quantum Yang-Mills Theory in
two dimensions | 31 pages, Latex, no figures | J.Math.Phys. 38 (1997) 5453-5482 | 10.1063/1.532146 | HUTMP-96/B-351, CGPG-94/4-2 | hep-th | null | A closed expression of the Euclidean Wilson-loop functionals is derived for
pure Yang-Mills continuum theories with gauge groups $SU(N)$ and $U(1)$ and
space-time topologies $\Rl^1\times\Rl^1$ and $\Rl^1\times S^1$. (For the $U(1)$
theory, we also consider the $S^1\times S^1$ topology.) The treatment is
rigorous, man... | [
{
"created": "Sat, 18 May 1996 00:18:03 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ashtekar",
"Abhay",
""
],
[
"Lewandowski",
"Jurek",
""
],
[
"Marolf",
"Donald",
""
],
[
"Mourão",
"José",
""
],
[
"Thiemann",
"Thomas",
""
]
] | A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups $SU(N)$ and $U(1)$ and space-time topologies $\Rl^1\times\Rl^1$ and $\Rl^1\times S^1$. (For the $U(1)$ theory, we also consider the $S^1\times S^1$ topology.) The treatment is rigorous, manif... |
hep-th/0312135 | Annamaria Sinkovics | Jan de Boer, Annamaria Sinkovics, Erik Verlinde and Jung-Tay Yee | String Interactions in c=1 Matrix Model | 27 pages, 1 figure | JHEP 0403 (2004) 023 | 10.1088/1126-6708/2004/03/023 | ITFA-2003-56, KIAS-P03089 | hep-th | null | We study string interactions in the fermionic formulation of the c=1 matrix
model. We give a precise nonperturbative description of the rolling tachyon
state in the matrix model, and discuss S-matrix elements of the c=1 string. As
a first step to study string interactions, we compute the interaction of two
decaying D... | [
{
"created": "Fri, 12 Dec 2003 13:55:25 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"de Boer",
"Jan",
""
],
[
"Sinkovics",
"Annamaria",
""
],
[
"Verlinde",
"Erik",
""
],
[
"Yee",
"Jung-Tay",
""
]
] | We study string interactions in the fermionic formulation of the c=1 matrix model. We give a precise nonperturbative description of the rolling tachyon state in the matrix model, and discuss S-matrix elements of the c=1 string. As a first step to study string interactions, we compute the interaction of two decaying D0-... |
hep-th/0509028 | Jixiang Fu | Ji-Xiang Fu and Shing-Tung Yau | Existence of Supersymmetric Hermitian Metrics with Torsion on
Non-Kaehler Manifolds | 48 pages | null | null | null | hep-th | null | We proved the existence of supersymmetric Hermitian metrics with torsion on a
class of non-Kaehler manifolds.
| [
{
"created": "Fri, 2 Sep 2005 21:57:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fu",
"Ji-Xiang",
""
],
[
"Yau",
"Shing-Tung",
""
]
] | We proved the existence of supersymmetric Hermitian metrics with torsion on a class of non-Kaehler manifolds. |
2012.10454 | Miguel F. Paulos | Miguel F. Paulos | Dispersion relations and exact bounds on CFT correlators | 46 pages + appendices | null | 10.1007/JHEP08(2021)166 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive new crossing-symmetric dispersion formulae for CFT correlators
restricted to the line. The formulae are equivalent to the sum rules implied by
what we call master functionals, which are analytic extremal functionals which
act on the crossing equation. The dispersion relations provide an equivalent
formulati... | [
{
"created": "Fri, 18 Dec 2020 19:00:01 GMT",
"version": "v1"
}
] | 2021-09-15 | [
[
"Paulos",
"Miguel F.",
""
]
] | We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing equation. The dispersion relations provide an equivalent formulation... |
1607.02083 | Dmitriy Pak | Youngman Kim, Bum-Hoon Lee, D.G. Pak, Chanyong Park, Takuya Tsukioka | Quantum stability of non-linear wave type solutions with intrinsic mass
parameter in QCD | 13 pages, 7 figures, final version accepted for publication in Phys.
Rev. D, minor corrections | Phys. Rev. D 96, 054025 (2017) | 10.1103/PhysRevD.96.054025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of existence of a stable vacuum field in a pure quantum
chromodynamics (QCD) is revised. Our approach is based on using classical
stationary non-linear wave type solutions with intrinsic mass scale parameter.
Such solutions can be treated as quantum mechanical wave functions describing
massive spinless st... | [
{
"created": "Thu, 7 Jul 2016 17:00:04 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jul 2016 04:36:23 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Mar 2017 11:12:32 GMT",
"version": "v3"
},
{
"created": "Tue, 25 Jul 2017 03:16:49 GMT",
"version": "v4"
},
{
"cre... | 2017-10-02 | [
[
"Kim",
"Youngman",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Pak",
"D. G.",
""
],
[
"Park",
"Chanyong",
""
],
[
"Tsukioka",
"Takuya",
""
]
] | The problem of existence of a stable vacuum field in a pure quantum chromodynamics (QCD) is revised. Our approach is based on using classical stationary non-linear wave type solutions with intrinsic mass scale parameter. Such solutions can be treated as quantum mechanical wave functions describing massive spinless stat... |
1111.6507 | Carlos Scarinci | Carlos Scarinci and Kirill Krasnov | The Universal Phase Space of AdS3 Gravity | 41 pages, 2 figures, revised version accepted for publication in
Commun.Math.Phys | Commun.Math.Phys.322:167-205,2013 | 10.1007/s00220-012-1655-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe what can be called the "universal" phase space of AdS3 gravity,
in which the moduli spaces of globally hyperbolic AdS spacetimes with compact
spatial sections, as well as the moduli spaces of multi-black-hole spacetimes
are realized as submanifolds. The universal phase space is parametrized by two
copies ... | [
{
"created": "Mon, 28 Nov 2011 16:31:45 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2013 01:13:43 GMT",
"version": "v2"
}
] | 2013-07-09 | [
[
"Scarinci",
"Carlos",
""
],
[
"Krasnov",
"Kirill",
""
]
] | We describe what can be called the "universal" phase space of AdS3 gravity, in which the moduli spaces of globally hyperbolic AdS spacetimes with compact spatial sections, as well as the moduli spaces of multi-black-hole spacetimes are realized as submanifolds. The universal phase space is parametrized by two copies of... |
hep-th/9612131 | Yaron Oz | Jan de Boer, Kentaro Hori, Hirosi Ooguri, Yaron Oz and Zheng Yin | Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane
Moduli Spaces | 36 pages, 16 figures, LaTex 2 | Nucl.Phys.B493:148-176,1997 | 10.1016/S0550-3213(97)00115-6 | LBNL-039707, UCB-PTH-96/58 | hep-th | null | We construct intersecting D-brane configurations that encode the gauge groups
and field content of dual N=4 supersymmetric gauge theories in three
dimensions. The duality which exchanges the Coulomb and Higgs branches and the
Fayet-Iliopoulos and mass parameters is derived from the SL(2,Z) symmetry of
the type IIB st... | [
{
"created": "Thu, 12 Dec 1996 23:10:50 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"de Boer",
"Jan",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Oz",
"Yaron",
""
],
[
"Yin",
"Zheng",
""
]
] | We construct intersecting D-brane configurations that encode the gauge groups and field content of dual N=4 supersymmetric gauge theories in three dimensions. The duality which exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass parameters is derived from the SL(2,Z) symmetry of the type IIB stri... |
2207.13207 | Hanif Golchin | Hanif Golchin | Regular Black Holes: Entropy Products and Central Charges | minor corrections | null | 10.1103/PhysRevD.106.066007 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper for variety types of regular black hole solutions, we
investigate the entropy product of inner and outer horizons. Similar to
singular black holes, for the regular ones we find that universality (mass
independence) of the entropy product is true for some solutions and it fails
for some others. In the ca... | [
{
"created": "Tue, 26 Jul 2022 22:54:03 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2022 11:40:13 GMT",
"version": "v2"
}
] | 2022-10-05 | [
[
"Golchin",
"Hanif",
""
]
] | In this paper for variety types of regular black hole solutions, we investigate the entropy product of inner and outer horizons. Similar to singular black holes, for the regular ones we find that universality (mass independence) of the entropy product is true for some solutions and it fails for some others. In the case... |
hep-th/9812150 | Jacques Bros | J. Bros, G.A. Viano | Complex Angular Momentum in General Quantum Field Theory | 86 pages, 9 figures, tcilatex | Annales Henri Poincare 1 (2006) 101-172 | null | SPTh t98/142 | hep-th | null | It is proven that for each given two-field channel - called the
``t-channel''- with (off-shell) ``scattering angle'' $\Theta_t$, the four-point
Green's function of any scalar Quantum Fields satisfying the basic principles
of locality, spectral condition together with temperateness admits a
Laplace-type transform in t... | [
{
"created": "Thu, 17 Dec 1998 16:54:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bros",
"J.",
""
],
[
"Viano",
"G. A.",
""
]
] | It is proven that for each given two-field channel - called the ``t-channel''- with (off-shell) ``scattering angle'' $\Theta_t$, the four-point Green's function of any scalar Quantum Fields satisfying the basic principles of locality, spectral condition together with temperateness admits a Laplace-type transform in the... |
hep-th/9803249 | Michael Bershadsky | Michael Bershadsky and Andrei Johansen | Large N limit of orbifold field theories | 12 pages, 3 figures, harvmac. Minor changes | Nucl.Phys.B536:141-148,1998 | 10.1016/S0550-3213(98)00526-4 | HUTP-98/A038 | hep-th | null | We consider certain orbifoldization of the ${\cal N}=4$ field theories that
leads to ${\cal N}=2,1,0$ field theories in 4 dimensions. These theories were
recently analyzed using the string theory perturbation technique. It was found
that in the large $N$ limit all correlation functions of the orbifold theories
coinci... | [
{
"created": "Mon, 30 Mar 1998 18:31:16 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 1998 17:08:07 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bershadsky",
"Michael",
""
],
[
"Johansen",
"Andrei",
""
]
] | We consider certain orbifoldization of the ${\cal N}=4$ field theories that leads to ${\cal N}=2,1,0$ field theories in 4 dimensions. These theories were recently analyzed using the string theory perturbation technique. It was found that in the large $N$ limit all correlation functions of the orbifold theories coincide... |
hep-th/9608103 | Azakov Siyavush | Azakov S.I | The Schwinger model on the Torus | Latex file: 40 pages | Fortsch.Phys. 45 (1997) 589-626 | null | IC/96/138 | hep-th | null | The classical and quantum aspects of the Schwinger model on the torus are
considered. First we find explicitly all zero modes of the Dirac operator in
the topological sectors with nontrivial Chern index and is spectrum. In the
second part we determine the regularized effective action and discuss the
propagators relat... | [
{
"created": "Thu, 15 Aug 1996 18:29:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"S.",
"Azakov",
"I"
]
] | The classical and quantum aspects of the Schwinger model on the torus are considered. First we find explicitly all zero modes of the Dirac operator in the topological sectors with nontrivial Chern index and is spectrum. In the second part we determine the regularized effective action and discuss the propagators related... |
1401.3996 | Victor Afonso | Victor I. Afonso and Diego J. Cirilo-Lombardo | Geometric Aspects of the `Deformation Method' | 9 pages, 9 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At the classical level, redefinitions of the field content of a Lagrangian
allow to rewrite an interacting model on a flat target space, in the form of a
free field model (no potential term) on a curved target space. In the present
work we extend the idea of the `deformation method' introduced in
\cite{defmet}, to sh... | [
{
"created": "Thu, 16 Jan 2014 11:45:32 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2015 15:56:23 GMT",
"version": "v2"
}
] | 2015-09-03 | [
[
"Afonso",
"Victor I.",
""
],
[
"Cirilo-Lombardo",
"Diego J.",
""
]
] | At the classical level, redefinitions of the field content of a Lagrangian allow to rewrite an interacting model on a flat target space, in the form of a free field model (no potential term) on a curved target space. In the present work we extend the idea of the `deformation method' introduced in \cite{defmet}, to show... |
2008.11307 | Alexis Roa Aguirre | A. R. Aguirre, E. S. Souza | Extended multi-scalar field theories in (1+1) dimensions | 49 pages, 14 figures | Eur. Phys. J. C (2020) 80:1143 | 10.1140/epjc/s10052-020-08724-y | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the explicit construction of some multi-scalar field theories in
(1+1) dimensions supporting BPS (Bogomol'nyi--Prasad--Sommerfield) kink
solutions. The construction is based on the ideas of the so-called extension
method. In particular, several new interesting two-scalar and three-scalar
field theories are... | [
{
"created": "Tue, 25 Aug 2020 23:30:18 GMT",
"version": "v1"
}
] | 2020-12-16 | [
[
"Aguirre",
"A. R.",
""
],
[
"Souza",
"E. S.",
""
]
] | We present the explicit construction of some multi-scalar field theories in (1+1) dimensions supporting BPS (Bogomol'nyi--Prasad--Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are e... |
1306.1546 | Benjamin Koch | Benjamin Koch and Frank Saueressig | Structural aspects of asymptotically safe black holes | 28 pages 13 figures | null | 10.1088/0264-9381/31/1/015006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum modifications of classical, spherically symmetric
Schwarzschild (Anti-) de Sitter black holes within Quantum Einstein Gravity.
The quantum effects are incorporated through the running coupling constants
$G_k$ and $\Lambda_k$, computed within the exact renormalization group
approach, and a common ... | [
{
"created": "Thu, 6 Jun 2013 20:31:20 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2013 15:29:58 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Koch",
"Benjamin",
""
],
[
"Saueressig",
"Frank",
""
]
] | We study the quantum modifications of classical, spherically symmetric Schwarzschild (Anti-) de Sitter black holes within Quantum Einstein Gravity. The quantum effects are incorporated through the running coupling constants $G_k$ and $\Lambda_k$, computed within the exact renormalization group approach, and a common sc... |
0803.1565 | Samuel Monnier | Samuel Monnier | Kondo flow invariants, twisted K-theory and Ramond-Ramond charges | 58 pages. V4 : Problem with the bibliography corrected | JHEP0806:022,2008 | 10.1088/1126-6708/2008/06/022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We take a worldsheet point of view on the relation between Ramond-Ramond
charges, invariants of boundary renormalization group flows and K-theory. In
compact super Wess-Zumino-Witten models, we show how to associate invariants of
the generalized Kondo renormalization group flows to a given supersymmetric
boundary sta... | [
{
"created": "Tue, 11 Mar 2008 19:35:50 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Mar 2008 09:59:45 GMT",
"version": "v2"
},
{
"created": "Sun, 25 May 2008 16:18:50 GMT",
"version": "v3"
},
{
"created": "Sun, 6 Jul 2008 14:16:43 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Monnier",
"Samuel",
""
]
] | We take a worldsheet point of view on the relation between Ramond-Ramond charges, invariants of boundary renormalization group flows and K-theory. In compact super Wess-Zumino-Witten models, we show how to associate invariants of the generalized Kondo renormalization group flows to a given supersymmetric boundary state... |
hep-th/9303163 | Judy Mack | C.R. Hagen and E.C.G. Sudarshan | Comment on Operator Algebra in Chern-Simons Theory on a Torus | 4 pages | Phys.Rev.Lett. 74 (1995) 1032 | 10.1103/PhysRevLett.74.1032 | UR1308, ER-40685-757 | hep-th | null | It is shown that "nonintegrable phases of Wilson line integrals" are not true
dynamical variables in Chern-Simons field theory.
| [
{
"created": "Mon, 29 Mar 1993 19:43:00 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 1993 13:26:00 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Hagen",
"C. R.",
""
],
[
"Sudarshan",
"E. C. G.",
""
]
] | It is shown that "nonintegrable phases of Wilson line integrals" are not true dynamical variables in Chern-Simons field theory. |
hep-th/0001170 | Laurent Houart | Laurent Houart, Yolanda Lozano | Brane Descent Relations in M-theory | 14 pages, LaTeX file, final version to appear in Physics Letters B | Phys.Lett. B479 (2000) 299-307 | 10.1016/S0370-2693(00)00317-8 | CERN-TH/2000-025, Imperial/TP/99-0/19 | hep-th | null | We discuss how the BPS branes of M-theory could be described as bound states
of non-BPS M10-branes. This conjectured M10-brane is constructed as an unstable
spacetime-filling brane in the massive eleven dimensional supergravity defined
with a Killing direction, such that 1) the BPS M9-brane is obtained after the
tach... | [
{
"created": "Tue, 25 Jan 2000 21:19:15 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2000 12:45:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Houart",
"Laurent",
""
],
[
"Lozano",
"Yolanda",
""
]
] | We discuss how the BPS branes of M-theory could be described as bound states of non-BPS M10-branes. This conjectured M10-brane is constructed as an unstable spacetime-filling brane in the massive eleven dimensional supergravity defined with a Killing direction, such that 1) the BPS M9-brane is obtained after the tachyo... |
hep-th/0506205 | Takehiro Azuma | Takehiro Azuma (KEK), Subrata Bal (RIKEN), Keiichi Nagao (Ibaraki U.),
Jun Nishimura (KEK & SOKENDAI) | Perturbative versus nonperturbative dynamics of the fuzzy S^2*S^2 | 20 pages, 7 figures, (v2) some typos corrected | JHEP 0509 (2005) 047 | 10.1088/1126-6708/2005/09/047 | KEK-TH-968, KUNS-1925, RIKEN-TH-39, IU-TH-2 | hep-th hep-lat | null | We study a matrix model with a cubic term, which incorporates both the fuzzy
S^2*S^2 and the fuzzy S^2 as classical solutions. Both of the solutions decay
into the vacuum of the pure Yang-Mills model (even in the large-N limit) when
the coefficient of the cubic term is smaller than a critical value, but the
large-N b... | [
{
"created": "Fri, 24 Jun 2005 10:01:31 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2005 05:36:19 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Azuma",
"Takehiro",
"",
"KEK"
],
[
"Bal",
"Subrata",
"",
"RIKEN"
],
[
"Nagao",
"Keiichi",
"",
"Ibaraki U."
],
[
"Nishimura",
"Jun",
"",
"KEK & SOKENDAI"
]
] | We study a matrix model with a cubic term, which incorporates both the fuzzy S^2*S^2 and the fuzzy S^2 as classical solutions. Both of the solutions decay into the vacuum of the pure Yang-Mills model (even in the large-N limit) when the coefficient of the cubic term is smaller than a critical value, but the large-N beh... |
2303.18234 | Josef Kluson | J. Kluson, B. Matous | Weyl Gravity in Covariant Hamiltonian Formalism | 19 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We find covariant canonical formalism for Weyl invariant gravity. We discuss
constraint structure of this theory and its gauge fixed form.
| [
{
"created": "Fri, 31 Mar 2023 17:48:31 GMT",
"version": "v1"
}
] | 2023-04-03 | [
[
"Kluson",
"J.",
""
],
[
"Matous",
"B.",
""
]
] | We find covariant canonical formalism for Weyl invariant gravity. We discuss constraint structure of this theory and its gauge fixed form. |
2402.16950 | Tom Steudtner | Tom Steudtner | Effective Potential and Vacuum Stability in the Litim-Sannino Model | 26 pages, 7 figures; v2: extended discussion and match publication | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We revisit the scalar potential in the Litim-Sannino model. We compute for
the first time the full quantum corrections to the classical potential and show
that they significantly ameliorate the stability analysis at the UV fixed
point. The quantum effective potential is computed at two-loop order and the
numerical pr... | [
{
"created": "Mon, 26 Feb 2024 19:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Apr 2024 10:48:56 GMT",
"version": "v2"
}
] | 2024-04-25 | [
[
"Steudtner",
"Tom",
""
]
] | We revisit the scalar potential in the Litim-Sannino model. We compute for the first time the full quantum corrections to the classical potential and show that they significantly ameliorate the stability analysis at the UV fixed point. The quantum effective potential is computed at two-loop order and the numerical prec... |
hep-th/9702004 | Julio Guerrero Garcia | J. Guerrero, V. Aldaya and M. Calixto | Algebraic Quantization on the Torus and Modular Invariance | Latex, 5 pages with no figures. Uses style file group21.sty
Contribution to the XXI International Colloquium on Group Theoretical Methods
in Physics, Goslar, Germany | null | null | null | hep-th | null | New features of systems with non-trivial topology such as fractional quantum
numbers, inequivalent quantizations, good operators, topological anomalies,
etc. are described in the framework of an algebraic quantization procedure on a
group. Modular invariance naturally appears as a subgroup of good operators in
the pa... | [
{
"created": "Fri, 31 Jan 1997 15:45:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Guerrero",
"J.",
""
],
[
"Aldaya",
"V.",
""
],
[
"Calixto",
"M.",
""
]
] | New features of systems with non-trivial topology such as fractional quantum numbers, inequivalent quantizations, good operators, topological anomalies, etc. are described in the framework of an algebraic quantization procedure on a group. Modular invariance naturally appears as a subgroup of good operators in the part... |
hep-th/9410062 | null | M.Pitk\"anen | p-Adic description of Higgs mechanism V: New Physics | 37 pages,latex. Revision: correction of error in the calculation of
CKM matrix and reconsideration of top quark mass problem | null | null | null | hep-th | null | TGD suggests the existence of two new branches of physics, namely M_{89}
hadron physics and M_{127} leptohadron physics. Leptons and U type quarks are
predicted to have light colored excitations. The anomalous production of e^+e^-
pairs in heavy ion collisions sup- ports the existence of light leptomeson but
there ar... | [
{
"created": "Mon, 10 Oct 1994 12:46:15 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 1994 09:50:48 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jun 1995 08:50:33 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Pitkänen",
"M.",
""
]
] | TGD suggests the existence of two new branches of physics, namely M_{89} hadron physics and M_{127} leptohadron physics. Leptons and U type quarks are predicted to have light colored excitations. The anomalous production of e^+e^- pairs in heavy ion collisions sup- ports the existence of light leptomeson but there are ... |
hep-th/0501131 | Xian-Hui Ge | Xian-Hui Ge, You-Gen Shen | Reconsidering the black hole final state in Dirac fields | 7pages; Phys. Lett. B 2005 (in press) | Phys.Lett.B612:61-64,2005 | 10.1016/j.physletb.2005.02.050 | null | hep-th gr-qc | null | We extend Horowitz and Maldacena's proposal about black hole final state to
Dirac fields and find that if annihilation of the infalling positrons and the
collapsed electrons inside the horizon is considered, then the nonlinear
evolution of collapsing quantum state will be avoided. We further propose that
annihilation... | [
{
"created": "Tue, 18 Jan 2005 06:51:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ge",
"Xian-Hui",
""
],
[
"Shen",
"You-Gen",
""
]
] | We extend Horowitz and Maldacena's proposal about black hole final state to Dirac fields and find that if annihilation of the infalling positrons and the collapsed electrons inside the horizon is considered, then the nonlinear evolution of collapsing quantum state will be avoided. We further propose that annihilation a... |
2209.07363 | Jahed Abedi | Jahed Abedi | Firewall black holes and echoes from an action principle | 6 pages, 3 figures. Discussion about dynamical black holes added.
Accepted for publication in Phys. Rev. D | null | 10.1103/PhysRevD.107.064004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is often said that there is no gravity theory based on local action
principles giving rise to firewall black hole solutions. Additionally, Guo and
Mathur 2022 (2205.10921) have cast doubt on the observability of firewall
echoes due to closed trapped surface produced by backreaction of macroscopic
in-falling wave p... | [
{
"created": "Thu, 15 Sep 2022 15:25:12 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2023 13:35:20 GMT",
"version": "v2"
}
] | 2023-03-07 | [
[
"Abedi",
"Jahed",
""
]
] | It is often said that there is no gravity theory based on local action principles giving rise to firewall black hole solutions. Additionally, Guo and Mathur 2022 (2205.10921) have cast doubt on the observability of firewall echoes due to closed trapped surface produced by backreaction of macroscopic in-falling wave pac... |
hep-th/0702163 | Danilo Diaz | Danilo E. D\'iaz and Harald Dorn | Partition functions and double-trace deformations in AdS/CFT | 18 pages, uses JHEP3.cls. Published JHEP version | JHEP 0705:046,2007 | 10.1088/1126-6708/2007/05/046 | HU-EP-07/04 | hep-th math.DG | null | We study the effect of a relevant double-trace deformation on the partition
function (and conformal anomaly) of a CFT at large N and its dual picture in
AdS. Three complementary previous results are brought into full agreement with
each other: bulk and boundary computations, as well as their formal identity.
We show ... | [
{
"created": "Tue, 20 Feb 2007 15:58:13 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2007 16:43:22 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Feb 2008 11:54:12 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Díaz",
"Danilo E.",
""
],
[
"Dorn",
"Harald",
""
]
] | We study the effect of a relevant double-trace deformation on the partition function (and conformal anomaly) of a CFT at large N and its dual picture in AdS. Three complementary previous results are brought into full agreement with each other: bulk and boundary computations, as well as their formal identity. We show th... |
hep-th/0010293 | Anton Kapustin | Anton Kapustin, Dmitri Orlov | Vertex Algebras, Mirror Symmetry, And D-Branes: The Case Of Complex Tori | 70 pages, AMS Latex. v2: a gap in the reasoning of Appendix B has
been filled, and a proof of the "Borcherds formulas" has been added | Comm. Math. Phys. 233 (2003), no. 1, 79--136 | 10.1007/s00220-002-0755-7 | IASSNS-HEP-00/81 | hep-th math.AG math.QA | null | A vertex algebra is an algebraic counterpart of a two-dimensional conformal
field theory. We give a new definition of a vertex algebra which includes
chiral algebras as a special case, but allows for fields which are neither
meromorphic nor anti-meromorphic. To any complex torus equipped with a flat
Kahler metric and... | [
{
"created": "Tue, 31 Oct 2000 17:47:58 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2001 17:36:26 GMT",
"version": "v2"
}
] | 2009-11-24 | [
[
"Kapustin",
"Anton",
""
],
[
"Orlov",
"Dmitri",
""
]
] | A vertex algebra is an algebraic counterpart of a two-dimensional conformal field theory. We give a new definition of a vertex algebra which includes chiral algebras as a special case, but allows for fields which are neither meromorphic nor anti-meromorphic. To any complex torus equipped with a flat Kahler metric and a... |
1012.5073 | Winston Fairbairn | Winston J. Fairbairn, Karim Noui, Francesco Sardelli | Equivalence of the self-dual and Nambu-Goto strings | 20 pages | null | 10.1007/JHEP08(2011)070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish explicitely the relation between the algebraic and Nambu-Goto
strings when the target space is a four dimensional flat space. We find that
the two theories are exactly equivalent only when the algebraic string is
restricted to the self-dual or anti self-dual sectors. In its Hamiltonian
formulation, the a... | [
{
"created": "Wed, 22 Dec 2010 19:04:07 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Fairbairn",
"Winston J.",
""
],
[
"Noui",
"Karim",
""
],
[
"Sardelli",
"Francesco",
""
]
] | We establish explicitely the relation between the algebraic and Nambu-Goto strings when the target space is a four dimensional flat space. We find that the two theories are exactly equivalent only when the algebraic string is restricted to the self-dual or anti self-dual sectors. In its Hamiltonian formulation, the alg... |
2207.06545 | Jean Thierry-Mieg | Jean Thierry-Mieg, Peter D.Jarvis and Jerome Germoni | Explicit construction of the finite dimensional indecomposable
representations of the simple Lie-Kac $SU(2/1)$ superalgebra and their low
level non diagonal super Casimir operators | 40 pages including 9 appendices giving explicitly the matrices of the
various types of representations | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | All finite dimensional irreducible representations of the simple Lie-Kac
super algebra SU(2/1) are explicitly constructed in the Chevalley basis as
complex matrices. For typical representations, the distinguished Dynkin label
is not quantized. We then construct the generic atypical indecomposable quivers
classified b... | [
{
"created": "Wed, 13 Jul 2022 23:04:07 GMT",
"version": "v1"
}
] | 2022-07-15 | [
[
"Thierry-Mieg",
"Jean",
""
],
[
"Jarvis",
"Peter D.",
""
],
[
"Germoni",
"Jerome",
""
]
] | All finite dimensional irreducible representations of the simple Lie-Kac super algebra SU(2/1) are explicitly constructed in the Chevalley basis as complex matrices. For typical representations, the distinguished Dynkin label is not quantized. We then construct the generic atypical indecomposable quivers classified by ... |
hep-th/9807094 | Parthasarathi Mitra | P. Mitra | Entropy of extremal black holes in asymptotically anti-de Sitter
spacetime | LaTeX, 9 pages; post-publication correction of sign-convention
related errors | Phys.Lett. B441 (1998) 89-95 | 10.1016/S0370-2693(98)01161-7 | SINP/TNP/98-16 | hep-th gr-qc | null | Unlike the extremal Reissner - Nordstr\"{o}m black hole in ordinary
spacetime, the one in anti-de Sitter spacetime is a minimum of action and has
zero entropy if quantization is carried out after extremalization. However, if
extremalization is carried out after quantization, then the entropy is a
quarter of the area ... | [
{
"created": "Tue, 14 Jul 1998 09:48:10 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 1999 09:12:41 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Mitra",
"P.",
""
]
] | Unlike the extremal Reissner - Nordstr\"{o}m black hole in ordinary spacetime, the one in anti-de Sitter spacetime is a minimum of action and has zero entropy if quantization is carried out after extremalization. However, if extremalization is carried out after quantization, then the entropy is a quarter of the area as... |
2003.12852 | Roldao da Rocha | Roldao da Rocha | The minimal of geometric deformation of Yang-Mills-Dirac stellar
configurations | 9 pages, 5 figures | Phys. Rev. D 102, 024011 (2020) | 10.1103/PhysRevD.102.024011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The method of minimal geometric deformation (MGD) is used to derive static,
strongly gravitating, spherically symmetric, compact stellar distributions that
are solutions of the Yang-Mills-Einstein-Dirac coupled field equations, on
fluid membranes with finite tension. Their solutions characterize MGD
Yang-Mills-Dirac ... | [
{
"created": "Sat, 28 Mar 2020 17:51:01 GMT",
"version": "v1"
}
] | 2020-07-08 | [
[
"da Rocha",
"Roldao",
""
]
] | The method of minimal geometric deformation (MGD) is used to derive static, strongly gravitating, spherically symmetric, compact stellar distributions that are solutions of the Yang-Mills-Einstein-Dirac coupled field equations, on fluid membranes with finite tension. Their solutions characterize MGD Yang-Mills-Dirac st... |
hep-th/9201019 | null | J. A. Dixon, M. J. Duff, and E. Sezgin | The Coupling of Yang-Mills to Extended Objects | 14 Pages | Phys.Lett.B279:265-271,1992 | 10.1016/0370-2693(92)90391-G | null | hep-th | null | The coupling of Yang-Mills fields to the heterotic string in bosonic
formulation is generalized to extended objects of higher dimension (p-branes).
For odd p, the Bianchi identities obeyed by the field strengths of the
(p+1)-forms receive Chern-Simons corrections which, in the case of the 5-brane,
are consistent with... | [
{
"created": "Fri, 10 Jan 1992 22:10:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dixon",
"J. A.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Sezgin",
"E.",
""
]
] | The coupling of Yang-Mills fields to the heterotic string in bosonic formulation is generalized to extended objects of higher dimension (p-branes). For odd p, the Bianchi identities obeyed by the field strengths of the (p+1)-forms receive Chern-Simons corrections which, in the case of the 5-brane, are consistent with a... |
2201.07813 | Chandramouli Chowdhury | Chandramouli Chowdhury, Ruchira Mishra and Siddharth G. Prabhu | The Asymptotic Structure of Gravity in Higher Even Dimensions | 19 + 16 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the notion of asymptotic symmetries in classical gravity in
higher even dimensions, with $D = 6$ space-time dimensions as the prototype.
Unlike in four dimensions, certain non-linearities persist which necessitates
the complete non-linear analysis we undertake. We show that the free data is
parametrize... | [
{
"created": "Wed, 19 Jan 2022 19:00:49 GMT",
"version": "v1"
}
] | 2022-01-21 | [
[
"Chowdhury",
"Chandramouli",
""
],
[
"Mishra",
"Ruchira",
""
],
[
"Prabhu",
"Siddharth G.",
""
]
] | We investigate the notion of asymptotic symmetries in classical gravity in higher even dimensions, with $D = 6$ space-time dimensions as the prototype. Unlike in four dimensions, certain non-linearities persist which necessitates the complete non-linear analysis we undertake. We show that the free data is parametrized ... |
1502.01751 | Ying-Hsuan Lin | Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin | Interpolating the Coulomb Phase of Little String Theory | 39 pages, 4 figures, 4 tables | null | 10.1007/JHEP12(2015)022 | MIT-CTP/4639 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study up to 8-derivative terms in the Coulomb branch effective action of
(1,1) little string theory, by collecting results of 4-gluon scattering
amplitudes from both perturbative 6D super-Yang-Mills theory up to 4-loop
order, and tree-level double scaled little string theory (DSLST). In previous
work we have match... | [
{
"created": "Thu, 5 Feb 2015 22:38:16 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2015 21:07:06 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Lin",
"Ying-Hsuan",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Wang",
"Yifan",
""
],
[
"Yin",
"Xi",
""
]
] | We study up to 8-derivative terms in the Coulomb branch effective action of (1,1) little string theory, by collecting results of 4-gluon scattering amplitudes from both perturbative 6D super-Yang-Mills theory up to 4-loop order, and tree-level double scaled little string theory (DSLST). In previous work we have matched... |
hep-th/0504103 | Yoshinobu Habara | Yoshinobu Habara, Hikaru Kawai and Masao Ninomiya | Cyclic Universe \`{a} la string theory | Proceeding of International Workshop "Frontier of Quantum Physics"
February 17(Thu.)-19(Sat.) 2005 | Prog.Theor.Phys.Suppl.164:7-16,2007 | 10.1143/PTPS.164.7 | null | hep-th | null | We shall present a model of the "cyclic universe" that can be constructed
only by assuming a minimal set of properties of string theory. We clarify our
viewpoint of the cyclic universe and show some attempts to mateliarize the idea
as field theoretical manner.
| [
{
"created": "Tue, 12 Apr 2005 11:07:11 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Habara",
"Yoshinobu",
""
],
[
"Kawai",
"Hikaru",
""
],
[
"Ninomiya",
"Masao",
""
]
] | We shall present a model of the "cyclic universe" that can be constructed only by assuming a minimal set of properties of string theory. We clarify our viewpoint of the cyclic universe and show some attempts to mateliarize the idea as field theoretical manner. |
hep-th/0007150 | Michel Rausch | M. Rausch de Traubenberg | Fractional Supersymmetry and Lie Algebras | 16 pages, 1 figure, LaTex file with epsf.sty, Lecture given at the
Workshop on Non Commutative Geometry and Superstring Theory, Rabat 16-17 June
2000, to appear in the proceedings | null | null | PM/00-20 | hep-th math-ph math.MP math.RT | null | Supersymmetry and super-Lie algebras have been consistently generalized
previously. The so-called fractional supersymmetry and $F-$Lie algebras could
be constructed starting from any representation $\D$ of any Lie algebra $g$.
This involves taking the $F^{\mathrm th}$ root of $\D$ in some sense. We show,
after having... | [
{
"created": "Wed, 19 Jul 2000 12:36:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"de Traubenberg",
"M. Rausch",
""
]
] | Supersymmetry and super-Lie algebras have been consistently generalized previously. The so-called fractional supersymmetry and $F-$Lie algebras could be constructed starting from any representation $\D$ of any Lie algebra $g$. This involves taking the $F^{\mathrm th}$ root of $\D$ in some sense. We show, after having c... |
1610.02467 | Takahiro Kubota | Allan L. Alinea, Takahiro Kubota and Nobuhiko Misumi | The double-soft limit in cosmological correlation functions and graviton
exchange effects | 14 pages, 1 figure, references added | JCAP 01 (2017) 034 | 10.1088/1475-7516/2017/01/034 | OU-HET 907 | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The graviton exchange effect on cosmological correlation functions is
examined by employing the double-soft limit technique. A new relation among
correlation functions that contain the effects due to graviton exchange
diagrams in addition to those due to scalar-exchange and
scalar-contact-interaction, is derived by u... | [
{
"created": "Sat, 8 Oct 2016 03:00:14 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 01:32:43 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Dec 2016 15:13:28 GMT",
"version": "v3"
}
] | 2017-01-26 | [
[
"Alinea",
"Allan L.",
""
],
[
"Kubota",
"Takahiro",
""
],
[
"Misumi",
"Nobuhiko",
""
]
] | The graviton exchange effect on cosmological correlation functions is examined by employing the double-soft limit technique. A new relation among correlation functions that contain the effects due to graviton exchange diagrams in addition to those due to scalar-exchange and scalar-contact-interaction, is derived by usi... |
hep-th/0112007 | A. D. Alhaidari | A. D. Alhaidari | Relativistic shape invariant potentials | Corrigendum: The last statement above equation (1) is now corrected
and replaced by two new statements | J.Phys.A34:9827,2002; Erratum-ibid.35:6207,2002 | 10.1088/0305-4470/34/46/306 | null | hep-th | null | Dirac equation for a charged spinor in electromagnetic field is written for
special cases of spherically symmetric potentials. This facilitates the
introduction of relativistic extensions of shape invariant potential classes.
We obtain the relativistic spectra and spinor wavefunctions for all potentials
in one of the... | [
{
"created": "Sun, 2 Dec 2001 18:54:17 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Dec 2001 10:21:14 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Mar 2002 19:54:32 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Alhaidari",
"A. D.",
""
]
] | Dirac equation for a charged spinor in electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape invariant potential classes. We obtain the relativistic spectra and spinor wavefunctions for all potentials in one of these... |
1306.0220 | Georgios Linardopoulos | Minos Axenides, Emmanuel Floratos and Georgios Linardopoulos | Stringy Membranes in AdS/CFT | 40 pages, 9 figures; published version | JHEP 08 (2013) 089 | 10.1007/JHEP08(2013)089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study membrane configurations in AdS_{7/4}xS^{4/7}. The membranes are
wrapped around the compact manifold S^{4/7} and are dynamically equivalent to
bosonic strings in AdS_5. We thus conveniently identify them as "Stringy
Membranes". For the case of AdS_7xS^4, their construction is carried out by
embedding the Poly... | [
{
"created": "Sun, 2 Jun 2013 15:51:37 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2013 17:08:24 GMT",
"version": "v2"
}
] | 2021-05-27 | [
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Linardopoulos",
"Georgios",
""
]
] | We study membrane configurations in AdS_{7/4}xS^{4/7}. The membranes are wrapped around the compact manifold S^{4/7} and are dynamically equivalent to bosonic strings in AdS_5. We thus conveniently identify them as "Stringy Membranes". For the case of AdS_7xS^4, their construction is carried out by embedding the Polyak... |
2209.09215 | Henrique Matheus Gauy | Henrique Matheus Gauy, Alex E. Bernardini | Gravity Localization on Intersecting Thick Braneworlds | 19 pages, 5 figures. To be published in Physical Review D,
https://journals.aps.org/prd/accepted/33079Q52D301eb3a40da34b6972dcbce54b13d2dc | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The localization of gravity for (5 + 1)-dimensional intersecting thick
braneworld models is thoroughly investigated. Departing from preliminary
results for five independent proposals, from I to V, gravity is shown to be
localized in the brane. In particular, for models from I to III, only the zero
modes are analytica... | [
{
"created": "Mon, 19 Sep 2022 17:29:58 GMT",
"version": "v1"
}
] | 2022-09-20 | [
[
"Gauy",
"Henrique Matheus",
""
],
[
"Bernardini",
"Alex E.",
""
]
] | The localization of gravity for (5 + 1)-dimensional intersecting thick braneworld models is thoroughly investigated. Departing from preliminary results for five independent proposals, from I to V, gravity is shown to be localized in the brane. In particular, for models from I to III, only the zero modes are analyticall... |
hep-th/0309103 | Markus A. Luty | Hock-Seng Goh, Markus A. Luty, Siew-Phang Ng | Supersymmetry without Supersymmetry | 24 pages, LaTeX2e, no figures | JHEP 0501:040,2005 | 10.1088/1126-6708/2005/01/040 | UMD-PP-03-70 | hep-th hep-ph | null | We investigate the possibility that supersymmetry is not a fundamental
symmetry of nature, but emerges as an accidental approximate global symmetry at
low energies. This can occur if the visible sector is non-supersymmetric at
high scales, but flows toward a strongly-coupled superconformal fixed point at
low energies... | [
{
"created": "Wed, 10 Sep 2003 14:38:28 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Goh",
"Hock-Seng",
""
],
[
"Luty",
"Markus A.",
""
],
[
"Ng",
"Siew-Phang",
""
]
] | We investigate the possibility that supersymmetry is not a fundamental symmetry of nature, but emerges as an accidental approximate global symmetry at low energies. This can occur if the visible sector is non-supersymmetric at high scales, but flows toward a strongly-coupled superconformal fixed point at low energies; ... |
hep-th/9802081 | Yu-Ping Kuang | Kun Shen and Yu-Ping Kuang | Ward-Takahashi Identity and Dynamical Mass Generation in Abelian Gauge
Theories | 15 pages RevTex with 4 figures using epsfig.sty, to appear in Phys.
Rev. D | Phys.Rev. D57 (1998) 6386-6397 | 10.1103/PhysRevD.57.6386 | TUIMP-TH-97/93 | hep-th | null | We derive Ward-Takahashi identities including composite fields in Abelian
gauge theories and the matching condition between the elementary field
description and the composite field description. With these we develop an
approach to dynamical symmetry breaking in Abelian gauge theories including the
study of the dynami... | [
{
"created": "Thu, 12 Feb 1998 10:10:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Shen",
"Kun",
""
],
[
"Kuang",
"Yu-Ping",
""
]
] | We derive Ward-Takahashi identities including composite fields in Abelian gauge theories and the matching condition between the elementary field description and the composite field description. With these we develop an approach to dynamical symmetry breaking in Abelian gauge theories including the study of the dynamica... |
2203.17157 | Nadav Drukker | Nadav Drukker, Ziwen Kong and Georgios Sakkas | Broken global symmetries and defect conformal manifolds | v1: 19 pages; v2: Scope of paper broadened a bit and title changed to
reflect that. Added the case of ABJM and shortened to 7 pages (2-column).
Version to appear in PRL | null | 10.1103/PhysRevLett.129.201603 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Just as exactly marginal operators allow to deform a conformal field theory
along the space of theories known as the conformal manifold, appropriate
operators on conformal defects allow for deformations of the defects. When a
defect breaks a global symmetry, there is a contact term in the conservation
equation with a... | [
{
"created": "Thu, 31 Mar 2022 16:29:33 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2022 17:24:54 GMT",
"version": "v2"
}
] | 2022-11-23 | [
[
"Drukker",
"Nadav",
""
],
[
"Kong",
"Ziwen",
""
],
[
"Sakkas",
"Georgios",
""
]
] | Just as exactly marginal operators allow to deform a conformal field theory along the space of theories known as the conformal manifold, appropriate operators on conformal defects allow for deformations of the defects. When a defect breaks a global symmetry, there is a contact term in the conservation equation with an ... |
hep-th/0701187 | Bill Spence | Andreas Brandhuber, Simon McNamara, Bill Spence and Gabriele
Travaglini | Recursion Relations for One-Loop Gravity Amplitudes | 28 pages, LaTeX, 12 figures. v2:typos and references corrected | JHEP 0703:029,2007 | 10.1088/1126-6708/2007/03/029 | QMUL-PH-07-02 | hep-th | null | We study the application of recursion relations to the calculation of finite
one-loop gravity amplitudes. It is shown explicitly that the known four, five,
and six graviton one-loop amplitudes for which the external legs have identical
outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+)
can... | [
{
"created": "Fri, 19 Jan 2007 18:47:29 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2007 14:08:02 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Brandhuber",
"Andreas",
""
],
[
"McNamara",
"Simon",
""
],
[
"Spence",
"Bill",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+) can b... |
1807.11522 | Mao Zeng | Samuel Abreu, Ben Page, Mao Zeng | Differential equations from unitarity cuts: nonplanar hexa-box integrals | 31 pages, 2 figures. Version 2: final journal version; includes
solutions to differential equations | JHEP 01 (2019) 006 | 10.1007/JHEP01(2019)006 | FR-PHENO-2018-009, UCLA/18/TEP/105 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute $\epsilon$-factorized differential equations for all
dimensionally-regularized integrals of the nonplanar hexa-box topology, which
contribute for instance to 2-loop 5-point QCD amplitudes. A full set of pure
integrals is presented. For 5-point planar topologies, Gram determinants which
vanish in $4$ dimens... | [
{
"created": "Mon, 30 Jul 2018 18:37:03 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jan 2019 23:52:11 GMT",
"version": "v2"
}
] | 2019-01-04 | [
[
"Abreu",
"Samuel",
""
],
[
"Page",
"Ben",
""
],
[
"Zeng",
"Mao",
""
]
] | We compute $\epsilon$-factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to 2-loop 5-point QCD amplitudes. A full set of pure integrals is presented. For 5-point planar topologies, Gram determinants which vanish in $4$ dimensio... |
1412.1090 | Mukund Rangamani | Felix M. Haehl, R. Loganayagam, Mukund Rangamani | The eightfold way to dissipation | 5 pages, 1 figure. v2: minor clarifications. v3: minor changes. title
in published version differs | Phys. Rev. Lett. 114, 201601 (2015) | 10.1103/PhysRevLett.114.201601 | DCPT-14/65 | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a complete characterization of hydrodynamic transport consistent
with the second law of thermodynamics at arbitrary orders in the gradient
expansion. A key ingredient in facilitating this analysis is the notion of
adiabatic hydrodynamics, which enables isolation of the genuinely dissipative
parts of transp... | [
{
"created": "Tue, 2 Dec 2014 21:00:07 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Dec 2014 17:50:00 GMT",
"version": "v2"
},
{
"created": "Tue, 5 May 2015 10:57:16 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Haehl",
"Felix M.",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
]
] | We provide a complete characterization of hydrodynamic transport consistent with the second law of thermodynamics at arbitrary orders in the gradient expansion. A key ingredient in facilitating this analysis is the notion of adiabatic hydrodynamics, which enables isolation of the genuinely dissipative parts of transpor... |
2204.07440 | Yui Hayashi | Yui Hayashi and Yuya Tanizaki | Non-invertible self-duality defects of Cardy-Rabinovici model and mixed
gravitational anomaly | 53 pages, 3 figures. v2: corrections to the fusion rules, references
added | JHEP 08 (2022) 036 | 10.1007/JHEP08(2022)036 | YITP-22-12 | hep-th cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study properties of self-duality symmetry in the Cardy-Rabinovici model.
The Cardy-Rabinovici model is the $4$d $U(1)$ gauge theory with electric and
magnetic matters, and it enjoys the $SL(2,\mathbb{Z})$ self-duality at
low-energies. $SL(2,\mathbb{Z})$ self-duality does not realize in a naive way,
but we notice t... | [
{
"created": "Fri, 15 Apr 2022 12:31:46 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2022 17:41:44 GMT",
"version": "v2"
}
] | 2022-08-05 | [
[
"Hayashi",
"Yui",
""
],
[
"Tanizaki",
"Yuya",
""
]
] | We study properties of self-duality symmetry in the Cardy-Rabinovici model. The Cardy-Rabinovici model is the $4$d $U(1)$ gauge theory with electric and magnetic matters, and it enjoys the $SL(2,\mathbb{Z})$ self-duality at low-energies. $SL(2,\mathbb{Z})$ self-duality does not realize in a naive way, but we notice tha... |
hep-th/9911142 | Marianne Rooman | M. Rooman, Ph. Spindel | Aspects of (2+1) dimensional gravity: AdS3 asymptotic dynamics in the
framework of Fefferman-Graham-Lee theorems | 6 pages, Latex, presented at the Journees Relativistes 99, Weimar,
September 12-17, 1999; revised version with minor modifications and 1
reference added | Annalen Phys. 9 (2000) 161-167 | null | ULB-TH/99-29; UMH-MG/99-06 | hep-th | null | Using the Chern-Simon formulation of (2+1) gravity, we derive, for the
general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the
emergence of the Liouville mode associated to the boundary degrees of freedom
of (2+1) dimensional anti de Sitter geometries.
| [
{
"created": "Thu, 18 Nov 1999 14:56:48 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 1999 12:04:54 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Rooman",
"M.",
""
],
[
"Spindel",
"Ph.",
""
]
] | Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1) dimensional anti de Sitter geometries. |
0801.4907 | Igor Samsonov | I.L. Buchbinder, I.B. Samsonov | N=3 Superparticle Model | 1+31 pages; minor mistakes are corrected, reference added, published
version | Nucl.Phys.B802:180-207,2008 | 10.1016/j.nuclphysb.2008.05.014 | null | hep-th | null | We consider the formulation and quantization of the N=3 superparticle model,
both with and without central charge. Without the central charge the action
possesses U(3) invariance and therefore is naturally quantized in the N=3
harmonic superspace. The quantization reproduces the N=3 supergauge strength
multiplets, de... | [
{
"created": "Thu, 31 Jan 2008 15:59:38 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2008 12:14:30 GMT",
"version": "v2"
},
{
"created": "Sat, 24 May 2008 13:48:04 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Jun 2008 14:58:23 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Samsonov",
"I. B.",
""
]
] | We consider the formulation and quantization of the N=3 superparticle model, both with and without central charge. Without the central charge the action possesses U(3) invariance and therefore is naturally quantized in the N=3 harmonic superspace. The quantization reproduces the N=3 supergauge strength multiplets, desc... |
hep-th/9907131 | Suresh Govindarajan | Suresh Govindarajan (IITM), T. Jayaraman (IMSc) and Tapobrata Sarkar
(IMSc) | Worldsheet approaches to D-branes on supersymmetric cycles | 28 pages, LaTeX with revtex; (v2) Condition involving superpotential
in the boundary LG model imposed, references included ; (v3) final version to
appear in journal | Nucl.Phys. B580 (2000) 519-547 | 10.1016/S0550-3213(00)00140-1 | IMSc 99/07/25 | hep-th | null | We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau
manifolds from the viewpoint of N=2 Landau-Ginzburg models with boundary as
well as by consideration of boundary states in the corresponding Gepner models.
The Landau-Ginzburg approach enables us to provide a target space
interpretation for the b... | [
{
"created": "Thu, 15 Jul 1999 16:52:43 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 1999 05:56:40 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Mar 2000 09:49:27 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Govindarajan",
"Suresh",
"",
"IITM"
],
[
"Jayaraman",
"T.",
"",
"IMSc"
],
[
"Sarkar",
"Tapobrata",
"",
"IMSc"
]
] | We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau manifolds from the viewpoint of N=2 Landau-Ginzburg models with boundary as well as by consideration of boundary states in the corresponding Gepner models. The Landau-Ginzburg approach enables us to provide a target space interpretation for the bou... |
2106.10890 | Andrzej Sitarz | Arkadiusz Bochniak, Pawe{\l} Zalecki, Andrzej Sitarz | Spectral action and the electroweak $\theta$-terms for the Standard
Model without fermion doubling | 26 pages | JHEP 12 (2021) 142 | 10.1007/JHEP12(2021)142 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the leading terms of the spectral action for a noncommutative
geometry model that has no fermion doubling. The spectral triple describing it,
which is chiral and allows for CP-symmetry breaking, has the Dirac operator
that is not of the product type. Using Wick rotation we derive explicitly the
Lagrangian ... | [
{
"created": "Mon, 21 Jun 2021 07:08:49 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jun 2021 06:13:28 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jan 2022 09:07:21 GMT",
"version": "v3"
}
] | 2022-10-19 | [
[
"Bochniak",
"Arkadiusz",
""
],
[
"Zalecki",
"Paweł",
""
],
[
"Sitarz",
"Andrzej",
""
]
] | We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the product type. Using Wick rotation we derive explicitly the Lagrangian of... |
hep-th/9609077 | Yoshihisa Kitazawa | Toshiaki Aida and Yoshihisa Kitazawa | Two-loop Prediction for Scaling Exponents in (2 + \epsilon)-dimensional
Quantum Gravity | 36 pages, Latex file, 6 figures | Nucl.Phys. B491 (1997) 427-460 | 10.1016/S0550-3213(97)00091-6 | TIT-HEP-343 | hep-th | null | We perform the two loop level renormalization of quantum gravity in
$2+\epsilon$ dimensions. We work in the background gauge whose manifest
covariance enables us to use the short distance expansion of the Green's
functions. We explicitly show that the theory is renormalizable to the two loop
level in our formalism. W... | [
{
"created": "Tue, 10 Sep 1996 08:33:22 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Aida",
"Toshiaki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] | We perform the two loop level renormalization of quantum gravity in $2+\epsilon$ dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance expansion of the Green's functions. We explicitly show that the theory is renormalizable to the two loop level in our formalism. We ... |
2011.05337 | Lars Aalsma | Lars Aalsma, Alex Cole, Gregory J. Loges, Gary Shiu | A New Spin on the Weak Gravity Conjecture | 29 pages + appendices, 4 figures. v2: added references, introduced
total landscaping principle | null | 10.1007/JHEP03(2021)085 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | The mild form of the Weak Gravity Conjecture states that quantum or
higher-derivative corrections should decrease the mass of large extremal
charged black holes at fixed charge. This allows extremal black holes to decay,
unless protected by a symmetry (such as supersymmetry). We reformulate this
conjecture as an inte... | [
{
"created": "Tue, 10 Nov 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2021 14:27:45 GMT",
"version": "v2"
}
] | 2021-04-27 | [
[
"Aalsma",
"Lars",
""
],
[
"Cole",
"Alex",
""
],
[
"Loges",
"Gregory J.",
""
],
[
"Shiu",
"Gary",
""
]
] | The mild form of the Weak Gravity Conjecture states that quantum or higher-derivative corrections should decrease the mass of large extremal charged black holes at fixed charge. This allows extremal black holes to decay, unless protected by a symmetry (such as supersymmetry). We reformulate this conjecture as an integr... |
1502.03281 | Mohammad Naghdi | M. Naghdi | Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k | 20 pages, than the v2 version: minor changes, some discussions
improved, references added and typos fixed | Class. Quantum Grav. 32, 215018 (2015) | 10.1088/0264-9381/32/21/215018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a few ansatzs for the four and seven forms of 11-dimensional
supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged.
From the 4-form equations, we arrive at some massless scalars and pseudoscalars
in the bulk of Euclidean AdS_4 that match with some boundary $\Delta_+$=3
operators. Inde... | [
{
"created": "Wed, 11 Feb 2015 12:31:20 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 2015 22:22:19 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Jul 2015 10:08:55 GMT",
"version": "v3"
}
] | 2015-10-15 | [
[
"Naghdi",
"M.",
""
]
] | We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk of Euclidean AdS_4 that match with some boundary $\Delta_+$=3 operators. Indeed... |
1807.08062 | Anderson A. Nogueira | A. A. Nogueira, B. M. Pimentel and L. Rabanal | Transition amplitude, partition function and the role of physical
degrees of freedom in gauge theories | null | null | 10.1016/j.nuclphysb.2018.07.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work explores the quantum dynamics of the interaction between scalar
(matter) and vectorial (intermediate) particles and studies their thermodynamic
equilibrium in the grand-canonical ensemble. The aim of the article is to
clarify the connection between the physical degrees of freedom of a theory in
both the qua... | [
{
"created": "Sat, 21 Jul 2018 00:48:45 GMT",
"version": "v1"
}
] | 2018-09-26 | [
[
"Nogueira",
"A. A.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Rabanal",
"L.",
""
]
] | This work explores the quantum dynamics of the interaction between scalar (matter) and vectorial (intermediate) particles and studies their thermodynamic equilibrium in the grand-canonical ensemble. The aim of the article is to clarify the connection between the physical degrees of freedom of a theory in both the quant... |
1505.04273 | Tom Banks | T. Banks | The Temperature/Entropy Connection for Horizons, Massless Particle
Scattering, and the Origin of Locality | null | null | 10.1142/S0218271815440101 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I explain, in non-technical terms, the basic ideas of Holographic Space-time
(HST) models of quantum gravity (QG). The key feature is that the degrees of
freedom (DOF) of QG, localized in a finite causal diamond are restrictions of
an algebra of asymptotic currents, describing flows of quantum numbers out to
null inf... | [
{
"created": "Sat, 16 May 2015 13:26:45 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Banks",
"T.",
""
]
] | I explain, in non-technical terms, the basic ideas of Holographic Space-time (HST) models of quantum gravity (QG). The key feature is that the degrees of freedom (DOF) of QG, localized in a finite causal diamond are restrictions of an algebra of asymptotic currents, describing flows of quantum numbers out to null infin... |
1003.2877 | Ruben Manvelyan | Ruben Manvelyan, Karapet Mkrtchyan and Werner Ruehl | General trilinear interaction for arbitrary even higher spin gauge
fields | 21 pages, Latex, v.2. minor correction,v.3 final corrections | Nucl.Phys.B836:204-221,2010 | 10.1016/j.nuclphysb.2010.04.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Noether's procedure we present a complete solution for the trilinear
interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and
discuss the possibility to enlarge this construction to higher order
interactions in the gauge field. Some classification theorems of the cubic
(self)interaction wi... | [
{
"created": "Mon, 15 Mar 2010 10:13:49 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2012 07:55:32 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2012 10:30:30 GMT",
"version": "v3"
}
] | 2012-01-18 | [
[
"Manvelyan",
"Ruben",
""
],
[
"Mkrtchyan",
"Karapet",
""
],
[
"Ruehl",
"Werner",
""
]
] | Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in the gauge field. Some classification theorems of the cubic (self)interaction with... |
hep-th/9411016 | null | Simon Hands | O(1/N_f) Corrections to the Thirring Model in 2<d<4 | 22 pages in plain TeX, with 7 figs included using psfig.tex (Minor
conceptual changes - algebra unaffected) | Phys.Rev. D51 (1995) 5816-5826 | 10.1103/PhysRevD.51.5816 | SWAT/94/47 | hep-th hep-lat | null | The Thirring model, that is, a relativistic field theory of fermions with a
contact interaction between vector currents, is studied for dimensionalities
2<d<4 using the 1/N_f expansion, where N_f is the number of fermion species.
The model is found to have no ultraviolet divergences at leading order provided
a regula... | [
{
"created": "Wed, 2 Nov 1994 14:44:23 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 1994 14:22:00 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Nov 1994 09:47:22 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Hands",
"Simon",
""
]
] | The Thirring model, that is, a relativistic field theory of fermions with a contact interaction between vector currents, is studied for dimensionalities 2<d<4 using the 1/N_f expansion, where N_f is the number of fermion species. The model is found to have no ultraviolet divergences at leading order provided a regulari... |
1208.4262 | El Hassan Saidi | E.H Saidi, O. Fassi-Fehri, M. Bousmina | Topological Aspects of Fermions on Hyperdiamond | LaTeX, 56 pages, 6 figures | null | 10.1063/1.4736835 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by recent results on the index of the Dirac operator
D={\gamma}^{{\mu}}D_{{\mu}} of QCD on lattice and also by results on
topological features of electrons and holes of 2-dimensional graphene, we
compute in this paper the Index of D for fermions living on a family of even
dimensional lattices denoted as L_{... | [
{
"created": "Tue, 21 Aug 2012 13:36:36 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Saidi",
"E. H",
""
],
[
"Fassi-Fehri",
"O.",
""
],
[
"Bousmina",
"M.",
""
]
] | Motivated by recent results on the index of the Dirac operator D={\gamma}^{{\mu}}D_{{\mu}} of QCD on lattice and also by results on topological features of electrons and holes of 2-dimensional graphene, we compute in this paper the Index of D for fermions living on a family of even dimensional lattices denoted as L_{2N... |
1512.04080 | Yisong Yang Professor | Shouxin Chen and Yisong Yang | Domain Wall Equations, Hessian of Superpotential, and Bogomol'nyi Bounds | 25 pages | Nuclear Physics B 904 (2016) 470--493 | 10.1016/j.nuclphysb.2016.01.021 | null | hep-th math-ph math.AP math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An important question concerning the classical solutions of the equations of
motion arising in quantum field theories at the BPS critical coupling is
whether all finite-energy solutions are necessarily BPS. In this paper we
present a study of this basic question in the context of the domain wall
equations whose poten... | [
{
"created": "Sun, 13 Dec 2015 16:41:35 GMT",
"version": "v1"
}
] | 2017-09-14 | [
[
"Chen",
"Shouxin",
""
],
[
"Yang",
"Yisong",
""
]
] | An important question concerning the classical solutions of the equations of motion arising in quantum field theories at the BPS critical coupling is whether all finite-energy solutions are necessarily BPS. In this paper we present a study of this basic question in the context of the domain wall equations whose potenti... |
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