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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1710.11165 | Nozomu Kobayashi | Masayuki Fukuda, Nozomu Kobayashi, Tatsuma Nishioka | Operator product expansion for conformal defects | 47 pages, v2: a reference added | null | 10.1007/JHEP01(2018)013 | UT-17-33, IPMU17-150 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the operator product expansion (OPE) for scalar conformal defects of
any codimension in CFT. The OPE for defects is decomposed into "defect OPE
blocks", the irreducible representations of the conformal group, each of which
packages the contribution from a primary operator and its descendants. We use
the shadow formalism to deduce an integral representation of the defect OPE
blocks. They are shown to obey a set of constraint equations that can be
regarded as equations of motion for a scalar field propagating on the moduli
space of the defects. By employing the Radon transform between the AdS space
and the moduli space, we obtain a formula of constructing an AdS scalar field
from the defect OPE block for a conformal defect of any codimension in a scalar
representation of the conformal group, which turns out to be the Euclidean
version of the HKLL formula. We also introduce a duality between conformal
defects of different codimensions and prove the equivalence between the defect
OPE block for codimension-two defects and the OPE block for a pair of local
operators.
| [
{
"created": "Mon, 30 Oct 2017 18:16:05 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2017 07:00:32 GMT",
"version": "v2"
}
] | 2018-02-14 | [
[
"Fukuda",
"Masayuki",
""
],
[
"Kobayashi",
"Nozomu",
""
],
[
"Nishioka",
"Tatsuma",
""
]
] | We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT. The OPE for defects is decomposed into "defect OPE blocks", the irreducible representations of the conformal group, each of which packages the contribution from a primary operator and its descendants. We use the shadow formalism to deduce an integral representation of the defect OPE blocks. They are shown to obey a set of constraint equations that can be regarded as equations of motion for a scalar field propagating on the moduli space of the defects. By employing the Radon transform between the AdS space and the moduli space, we obtain a formula of constructing an AdS scalar field from the defect OPE block for a conformal defect of any codimension in a scalar representation of the conformal group, which turns out to be the Euclidean version of the HKLL formula. We also introduce a duality between conformal defects of different codimensions and prove the equivalence between the defect OPE block for codimension-two defects and the OPE block for a pair of local operators. |
hep-th/9612091 | Michael Duetsch | Michael Dutsch, Gunter Scharf | Perturbative gauge invariance: the electroweak theory | 29 pages, latex, no figures, enlarged version. to appear in Ann.
Phys. (Leipzig) | null | null | ZU-TH-35/96 | hep-th | null | The concept of perturbative gauge invariance formulated exclusively by means
of asymptotic fields is generalized to massive gauge fields. Applying it to the
electroweak theory leads to a complete fixing of couplings of scalar and ghost
fields and of the coupling to leptons, in agreement with the standard theory.
The W/Z mass ratio is also determined, as well as the chiral character of the
fermions. We start directly with massive gauge fields and leptons and,
nevertheless, obtain a theory which satisfies perturbative gauge invariance.
| [
{
"created": "Mon, 9 Dec 1996 14:26:41 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 1998 16:07:16 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 1999 10:57:53 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Dutsch",
"Michael",
""
],
[
"Scharf",
"Gunter",
""
]
] | The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is generalized to massive gauge fields. Applying it to the electroweak theory leads to a complete fixing of couplings of scalar and ghost fields and of the coupling to leptons, in agreement with the standard theory. The W/Z mass ratio is also determined, as well as the chiral character of the fermions. We start directly with massive gauge fields and leptons and, nevertheless, obtain a theory which satisfies perturbative gauge invariance. |
2301.04466 | Norma Susana Mankoc Borstnik | Norma Susana Manko\v{c} Bor\v{s}tnik | Clifford odd and even objects in even and odd dimensional spaces
describing internal spaces of fermion and boson fields | 20 pages. arXiv admin note: text overlap with arXiv:2210.06256 | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | In a long series of works, it has been demonstrated, that the {\it
spin-charge-family} theory offers the explanation for all in the {\it standard
model} assumed properties of the second quantized fermion and boson fields,
offering several predictions as well as explanations for several of the
observed phenomena. The theory assumes a simple starting action in even
dimensional spaces with $d \ge (13 +1)$ with massless fermions interacting with
gravity only. The internal spaces of fermion and boson fields are described by
the Clifford odd and even objects, respectively. This contribution discusses
the properties of the fermion and boson fields in odd dimensional spaces,
$d=(2n +1)$, with the internal spaces of fermion and boson fields described
again by the Clifford odd and even objects, respectively, pointing out that
their properties differ essentially from the properties in even dimensional
spaces, resembling the ghost needed when looking for final solutions with
Feynman diagrams.
| [
{
"created": "Sat, 7 Jan 2023 11:40:32 GMT",
"version": "v1"
}
] | 2023-01-12 | [
[
"Borštnik",
"Norma Susana Mankoč",
""
]
] | In a long series of works, it has been demonstrated, that the {\it spin-charge-family} theory offers the explanation for all in the {\it standard model} assumed properties of the second quantized fermion and boson fields, offering several predictions as well as explanations for several of the observed phenomena. The theory assumes a simple starting action in even dimensional spaces with $d \ge (13 +1)$ with massless fermions interacting with gravity only. The internal spaces of fermion and boson fields are described by the Clifford odd and even objects, respectively. This contribution discusses the properties of the fermion and boson fields in odd dimensional spaces, $d=(2n +1)$, with the internal spaces of fermion and boson fields described again by the Clifford odd and even objects, respectively, pointing out that their properties differ essentially from the properties in even dimensional spaces, resembling the ghost needed when looking for final solutions with Feynman diagrams. |
1404.4091 | Freddy Cachazo | Freddy Cachazo and Andrew Strominger | Evidence for a New Soft Graviton Theorem | 21 pages, normalization of J changed to the standard one and
references added in v2 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The single-soft-graviton limit of any quantum gravity scattering amplitude is
given at leading order by the universal Weinberg pole formula. Gauge invariance
of the formula follows from global energy-momentum conservation. In this paper
evidence is given for a conjectured universal formula for the finite subleading
term in the expansion about the soft limit, whose gauge invariance follows from
global angular momentum conservation. The conjecture is non-trivially verified
for all tree-level graviton scattering amplitudes using a BCFW recursion
relation. One hopes to understand this infinity of new soft relations as a Ward
identity for a new superrotation Virasoro symmetry of the quantum gravity
S-matrix.
| [
{
"created": "Tue, 15 Apr 2014 21:47:55 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2014 01:26:11 GMT",
"version": "v2"
}
] | 2014-06-11 | [
[
"Cachazo",
"Freddy",
""
],
[
"Strominger",
"Andrew",
""
]
] | The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper evidence is given for a conjectured universal formula for the finite subleading term in the expansion about the soft limit, whose gauge invariance follows from global angular momentum conservation. The conjecture is non-trivially verified for all tree-level graviton scattering amplitudes using a BCFW recursion relation. One hopes to understand this infinity of new soft relations as a Ward identity for a new superrotation Virasoro symmetry of the quantum gravity S-matrix. |
hep-th/0302093 | Paul A. Pearce | Paul A. Pearce, Leung Chim and Changrim Ahn | Excited TBA Equations II: Massless Flow from Tricritical to Critical
Ising Model | 26 pages, 9 figures | Nucl.Phys. B660 (2003) 579-606 | 10.1016/S0550-3213(03)00254-2 | null | hep-th | null | We consider the massless tricritical Ising model M(4,5) perturbed by the
thermal operator in a cylindrical geometry and apply integrable boundary
conditions, labelled by the Kac labels (r,s), that are natural off-critical
perturbations of known conformal boundary conditions. We derive massless
thermodynamic Bethe ansatz (TBA) equations for all excitations by solving, in
the continuum scaling limit, the TBA functional equation satisfied by the
double-row transfer matrices of the A_4 lattice model of Andrews, Baxter and
Forrester (ABF) in Regime IV. The resulting TBA equations describe the massless
renormalization group flow from the tricritical to critical Ising model. As in
the massive case of Part I, the excitations are completely classified in terms
of (m,n) systems but the string content changes by one of three mechanisms
along the flow. Using generalized q-Vandemonde identities, we show that this
leads to a flow from tricritical to critical Ising characters. The excited TBA
equations are solved numerically to follow the continuous flows from the UV to
the IR conformal fixed points.
| [
{
"created": "Thu, 13 Feb 2003 11:34:06 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Pearce",
"Paul A.",
""
],
[
"Chim",
"Leung",
""
],
[
"Ahn",
"Changrim",
""
]
] | We consider the massless tricritical Ising model M(4,5) perturbed by the thermal operator in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical perturbations of known conformal boundary conditions. We derive massless thermodynamic Bethe ansatz (TBA) equations for all excitations by solving, in the continuum scaling limit, the TBA functional equation satisfied by the double-row transfer matrices of the A_4 lattice model of Andrews, Baxter and Forrester (ABF) in Regime IV. The resulting TBA equations describe the massless renormalization group flow from the tricritical to critical Ising model. As in the massive case of Part I, the excitations are completely classified in terms of (m,n) systems but the string content changes by one of three mechanisms along the flow. Using generalized q-Vandemonde identities, we show that this leads to a flow from tricritical to critical Ising characters. The excited TBA equations are solved numerically to follow the continuous flows from the UV to the IR conformal fixed points. |
1704.03739 | Mischa Panchenko | Mischa Panchenko | The infrared triangle in the context of IR safe S matrices | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present note we show that the recently established connections between
soft theorems, large gauge transformations and memories are persistant in the
infrared safe formulation of quantum field theory. They take a different and
simplified form and can all be derived from the non-trivial asymptotic dynamics
that is proper to any theory with massless fields. Several results in this
paper had already been presented in one form or another with varying
interpretations. The new parts here are an improved derivation of charges for
large gauge transformations in the framework of non-trivial asymptotic
dynamics, the connection to the classical memory effect and an overall more
unified and accessible treatment of the topic. Since the formulation of QFT
without infrared divergences is physically more appealing, the infrared safe
version of the above connections should be so as well.
| [
{
"created": "Wed, 12 Apr 2017 12:57:52 GMT",
"version": "v1"
}
] | 2017-04-13 | [
[
"Panchenko",
"Mischa",
""
]
] | In the present note we show that the recently established connections between soft theorems, large gauge transformations and memories are persistant in the infrared safe formulation of quantum field theory. They take a different and simplified form and can all be derived from the non-trivial asymptotic dynamics that is proper to any theory with massless fields. Several results in this paper had already been presented in one form or another with varying interpretations. The new parts here are an improved derivation of charges for large gauge transformations in the framework of non-trivial asymptotic dynamics, the connection to the classical memory effect and an overall more unified and accessible treatment of the topic. Since the formulation of QFT without infrared divergences is physically more appealing, the infrared safe version of the above connections should be so as well. |
hep-th/0101134 | Sumati Surya | Sumati Surya, Kristin Schleich, Donald M. Witt | Phase Transitions for Flat adS Black Holes | 5 pages, Revtex, no figures. Minor changes, typos corrected, some
references added | Phys.Rev.Lett.86:5231-5234,2001 | 10.1103/PhysRevLett.86.5231 | null | hep-th gr-qc | null | We reexamine the thermodynamics of adS black holes with Ricci flat horizons
using the adS soliton as the thermal background. We find that there is a phase
transition which is dependent not only on the temperature, but also on the
black hole area, which is an independent parameter. As in the spherical adS
black hole, this phase transition is related via the adS/CFT correspondence to
a confinement-deconfinement transition in the large N gauge theory on the
conformal boundary at infinity.
| [
{
"created": "Fri, 19 Jan 2001 20:32:49 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2001 01:25:47 GMT",
"version": "v2"
}
] | 2011-07-18 | [
[
"Surya",
"Sumati",
""
],
[
"Schleich",
"Kristin",
""
],
[
"Witt",
"Donald M.",
""
]
] | We reexamine the thermodynamics of adS black holes with Ricci flat horizons using the adS soliton as the thermal background. We find that there is a phase transition which is dependent not only on the temperature, but also on the black hole area, which is an independent parameter. As in the spherical adS black hole, this phase transition is related via the adS/CFT correspondence to a confinement-deconfinement transition in the large N gauge theory on the conformal boundary at infinity. |
2109.05068 | Miguel Pino | M\'arcela C\'ardenas, Hern\'an A. Gonz\'alez, Kristiansen Lara and
Miguel Pino | DC conductance and memory in 3D gravity | 23 pages, no figures. New version matches with published article | null | 10.1007/JHEP08(2022)074 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Transport properties are investigated in the two-dimensional dual dynamics of
AdS$_{3}$ gravity. By providing boundary conditions that deform the ADM lapse
and shift functions, we construct a lower dimensional model comprising two
copies of chiral boson excitations with anisotropic scaling symmetry. Using
bosonization, an electric current is identified. By means of the Kubo formula,
we find a DC conductance depending on the level of the theory and the dynamical
exponents. The bulk realization of the linear response is related to a type of
gravitational memory emerging in the context of near-horizon boundary
conditions. The process is adiabatic and represents a permanent spacetime
deformation parametrized by anisotropic chiral bosons through a large gauge
transformation.
| [
{
"created": "Fri, 10 Sep 2021 18:59:13 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2021 03:51:13 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Aug 2022 18:39:58 GMT",
"version": "v3"
}
] | 2022-08-26 | [
[
"Cárdenas",
"Márcela",
""
],
[
"González",
"Hernán A.",
""
],
[
"Lara",
"Kristiansen",
""
],
[
"Pino",
"Miguel",
""
]
] | Transport properties are investigated in the two-dimensional dual dynamics of AdS$_{3}$ gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear response is related to a type of gravitational memory emerging in the context of near-horizon boundary conditions. The process is adiabatic and represents a permanent spacetime deformation parametrized by anisotropic chiral bosons through a large gauge transformation. |
0803.4222 | Michael Abbott | Michael C. Abbott, In\^es Aniceto | Vibrating giant spikes and the large-winding sector | 30 pages, 5 figures. v2 has extra references and thanks | JHEP0806:088,2008 | 10.1088/1126-6708/2008/06/088 | BROWN-HET 1497 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The single spike is a rigidly rotating classical string configuration closely
related to the giant magnon. We calculate bosonic and fermionic modes of this
solution, from which we see that it is not supersymmetric. It can be viewed as
an excitation above a hoop of string wound around the equator, in the same
sense that the magnon is an excitation above an orbiting point particle. We
find the operator which plays the role of the Hamiltonian for this sector,
which compared to the magnon's E-J has the angular momentum replaced by a
winding charge. The single spike solution is unstable, and we use the modes to
attempt a semi-classical computation of its lifetime.
| [
{
"created": "Mon, 31 Mar 2008 18:16:04 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2008 03:30:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Abbott",
"Michael C.",
""
],
[
"Aniceto",
"Inês",
""
]
] | The single spike is a rigidly rotating classical string configuration closely related to the giant magnon. We calculate bosonic and fermionic modes of this solution, from which we see that it is not supersymmetric. It can be viewed as an excitation above a hoop of string wound around the equator, in the same sense that the magnon is an excitation above an orbiting point particle. We find the operator which plays the role of the Hamiltonian for this sector, which compared to the magnon's E-J has the angular momentum replaced by a winding charge. The single spike solution is unstable, and we use the modes to attempt a semi-classical computation of its lifetime. |
1805.10008 | Yuki Amari | Yuki Amari and Nobuyuki Sawado | $SU(3)$ Knot Solitons: Hopfions in the $F_2$ Skyrme-Faddeev-Niemi model | 8 pages | null | 10.1016/j.physletb.2018.08.020 | null | hep-th cond-mat.str-el math-ph math.MP nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the existence of knot solitons (Hopfions) in a
Skryme-Faddeev-Niemi-type model on the target space $SU(3)/U(1)^2$, which can
be viewed as an effective theory of both the $SU(3)$ Yang-Mills theory and the
$SU(3)$ anti-ferromagnetic Heisenberg model. We derive the knot solitons with
two different types of ansatz: the first is a trivial embedding configuration
of $SU(2)$ into $SU(3)$, and the second is a non-embedding configuration that
can be generated through the B\"{a}cklund transformation. The resulting
Euler-Lagrange equations for both ansatz reduce exactly to those of the $CP^1$
Skyrme-Faddeev-Niemi model. We also examine some quantum aspects of the
solutions using the collective coordinate zero-mode quantization method.
| [
{
"created": "Fri, 25 May 2018 07:09:34 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2018 05:15:37 GMT",
"version": "v2"
}
] | 2018-08-27 | [
[
"Amari",
"Yuki",
""
],
[
"Sawado",
"Nobuyuki",
""
]
] | We discuss the existence of knot solitons (Hopfions) in a Skryme-Faddeev-Niemi-type model on the target space $SU(3)/U(1)^2$, which can be viewed as an effective theory of both the $SU(3)$ Yang-Mills theory and the $SU(3)$ anti-ferromagnetic Heisenberg model. We derive the knot solitons with two different types of ansatz: the first is a trivial embedding configuration of $SU(2)$ into $SU(3)$, and the second is a non-embedding configuration that can be generated through the B\"{a}cklund transformation. The resulting Euler-Lagrange equations for both ansatz reduce exactly to those of the $CP^1$ Skyrme-Faddeev-Niemi model. We also examine some quantum aspects of the solutions using the collective coordinate zero-mode quantization method. |
hep-th/0703062 | Giuseppe Bimonte | Giuseppe Bimonte, Enrico Calloni, Giampiero Esposito and Luigi Rosa | Relativistic mechanics of Casimir apparatuses in a weak gravitational
field | 9 pages, improved presentation and new references added | Phys.Rev.D76:025008,2007 | 10.1103/PhysRevD.76.025008 | DSF2007/7 | hep-th | null | This paper derives a set of general relativistic Cardinal Equations for the
equilibrium of an extended body in a uniform gravitational field. These
equations are essential for a proper understanding of the mechanics of
suspended relativistic systems. As an example, the prototypical case of a
suspended vessel filled with radiation is discussed. The mechanics of Casimir
apparatuses at rest in the gravitational field of the Earth is then considered.
Starting from an expression for the Casimir energy-momentum tensor in a weak
gravitational field recently derived by the authors, it is here shown that, in
the case of a rigid cavity supported by a stiff mount, the weight of the
Casimir energy $E_C$ stored in the cavity corresponds to a gravitational mass
$M=E_C/c^2$, in agreement with the covariant conservation law of the
regularized energy-momentum tensor. The case of a cavity consisting of two
disconnected plates supported by separate mounts, where the two measured forces
cannot be obtained by straightforward arguments, is also discussed.
| [
{
"created": "Wed, 7 Mar 2007 10:48:47 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2007 09:41:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bimonte",
"Giuseppe",
""
],
[
"Calloni",
"Enrico",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Rosa",
"Luigi",
""
]
] | This paper derives a set of general relativistic Cardinal Equations for the equilibrium of an extended body in a uniform gravitational field. These equations are essential for a proper understanding of the mechanics of suspended relativistic systems. As an example, the prototypical case of a suspended vessel filled with radiation is discussed. The mechanics of Casimir apparatuses at rest in the gravitational field of the Earth is then considered. Starting from an expression for the Casimir energy-momentum tensor in a weak gravitational field recently derived by the authors, it is here shown that, in the case of a rigid cavity supported by a stiff mount, the weight of the Casimir energy $E_C$ stored in the cavity corresponds to a gravitational mass $M=E_C/c^2$, in agreement with the covariant conservation law of the regularized energy-momentum tensor. The case of a cavity consisting of two disconnected plates supported by separate mounts, where the two measured forces cannot be obtained by straightforward arguments, is also discussed. |
hep-th/9207025 | Ji-Deog Kim | H.W. Braden, H.S. Cho, J.D. Kim, I.G. Koh and R. Sasaki | Singularity analysis in $A_n$ Affine Toda Theories | 15 pages, plain latex | Prog.Theor.Phys. 88 (1992) 1205-1212 | 10.1143/ptp/88.6.1205 | Edinburgh-/91-92/01 KAIST-THP-92/702 YITP/U-92-19 | hep-th | null | The leading and the subleading Landau singularities in affine Toda field
theories are examined in some detail. Formulae describing the subleading simple
pole structure of box diagrams are given explicitly. This leads to a new and
nontrivial test of the conjectured exact S-matrices for these theories. We show
that to the one-loop level the conjectured S-matrices of the $A_n$ Toda family
reproduce the correct singularity structure, leading as well as subleading, of
the field theoretical amplitudes. The present test has the merit of being
independent of the details of the renormalisations.
| [
{
"created": "Thu, 9 Jul 1992 05:02:11 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Braden",
"H. W.",
""
],
[
"Cho",
"H. S.",
""
],
[
"Kim",
"J. D.",
""
],
[
"Koh",
"I. G.",
""
],
[
"Sasaki",
"R.",
""
]
] | The leading and the subleading Landau singularities in affine Toda field theories are examined in some detail. Formulae describing the subleading simple pole structure of box diagrams are given explicitly. This leads to a new and nontrivial test of the conjectured exact S-matrices for these theories. We show that to the one-loop level the conjectured S-matrices of the $A_n$ Toda family reproduce the correct singularity structure, leading as well as subleading, of the field theoretical amplitudes. The present test has the merit of being independent of the details of the renormalisations. |
hep-th/9603012 | Walter Troost | Frank De Jonghe, Jordi Paris and Walter Troost | The BPHZ renormalised BV master equation and Two-loop Anomalies in
Chiral Gravities | 44 pages, LaTex. 4 figures, epsf. Discussion in section 4 extended,
assorted small modifications, 3 references added. As it will be published in
NPB | Nucl.Phys. B476 (1996) 559-610 | 10.1016/0550-3213(96)00313-6 | KUL-TF-96/4; NIKHEF-96-009 | hep-th | null | Anomalies and BRST invariance are governed, in the context of Lagrangian
Batalin-Vilkovisky quantization, by the master equation, whose classical limit
is $(S, S)=0$. Using Zimmerman's normal products and the BPHZ renormalisation
method, we obtain a corresponding local quantum operator equation, which is
valid to all orders in perturbation theory. The formulation implies a
calculational method for anomalies to all orders that is useful also outside
the BV context and that remains completely within regularised perturbation
theory. It makes no difference in principle whether the anomaly appears at one
loop or at higher loops. The method is illustrated by computing the one- and
two-loop anomalies in chiral $W_3$ gravity.
| [
{
"created": "Mon, 4 Mar 1996 14:55:32 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 1996 09:37:40 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"De Jonghe",
"Frank",
""
],
[
"Paris",
"Jordi",
""
],
[
"Troost",
"Walter",
""
]
] | Anomalies and BRST invariance are governed, in the context of Lagrangian Batalin-Vilkovisky quantization, by the master equation, whose classical limit is $(S, S)=0$. Using Zimmerman's normal products and the BPHZ renormalisation method, we obtain a corresponding local quantum operator equation, which is valid to all orders in perturbation theory. The formulation implies a calculational method for anomalies to all orders that is useful also outside the BV context and that remains completely within regularised perturbation theory. It makes no difference in principle whether the anomaly appears at one loop or at higher loops. The method is illustrated by computing the one- and two-loop anomalies in chiral $W_3$ gravity. |
2003.10079 | Peter M. Lavrov | Peter M. Lavrov | Gauge dependence of alternative flow equation for the functional
renormalization group | 13 pages, v2: misprints corrected, v3: published version | Nucl. Phys. B957 (2020) 115107 | 10.1016/j.nuclphysb.2020.115107 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gauge dependence problem of alternative flow equation for the functional
renormalization group is studied. It is shown that the effective two-particle
irreducible effective action depends on gauges at any value of IR parameter
$k$. The situation with gauge dependence is similar to the standard formulation
based on the effective one-particle irreducible effective action.
| [
{
"created": "Mon, 23 Mar 2020 04:44:59 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2020 14:47:01 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jul 2020 00:09:16 GMT",
"version": "v3"
}
] | 2020-07-16 | [
[
"Lavrov",
"Peter M.",
""
]
] | The gauge dependence problem of alternative flow equation for the functional renormalization group is studied. It is shown that the effective two-particle irreducible effective action depends on gauges at any value of IR parameter $k$. The situation with gauge dependence is similar to the standard formulation based on the effective one-particle irreducible effective action. |
hep-th/9112014 | null | H. Lu, C.N. Pope, X.J. Wang and K.W. Xu | N=2 Superstrings with (1,2m) Spacetime Signature | 8 pages | Phys.Lett.B284:268-272,1992 | 10.1016/0370-2693(92)90431-3 | null | hep-th | null | We show that the $N=2$ superstring in $d=2D\ge6$ real dimensions, with
criticality achieved by including background charges in the two real time
directions, exhibits a ``coordinate-freezing'' phenomenon, whereby the momentum
in one of the two time directions is constrained to take a specific value for
each physical state. This effectively removes this time direction as a physical
coordinate, leaving the theory with $(1,d-2)$ real spacetime signature. Norm
calculations for low-lying physical states suggest that the theory is ghost
free.
| [
{
"created": "Fri, 6 Dec 1991 21:02:55 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Wang",
"X. J.",
""
],
[
"Xu",
"K. W.",
""
]
] | We show that the $N=2$ superstring in $d=2D\ge6$ real dimensions, with criticality achieved by including background charges in the two real time directions, exhibits a ``coordinate-freezing'' phenomenon, whereby the momentum in one of the two time directions is constrained to take a specific value for each physical state. This effectively removes this time direction as a physical coordinate, leaving the theory with $(1,d-2)$ real spacetime signature. Norm calculations for low-lying physical states suggest that the theory is ghost free. |
hep-th/9412117 | Philip Candelas | Philip Candelas, Xenia de la Ossa and Sheldon Katz | Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and
Extensions of Landau Ginzburg Theory | 29 pages, plain TeX. Two figures submitted separately as a uuencoded
file. A plot at the end of the paper requires an extended memory version of
TeX. Instructions for suppressing the plot included at head of source file | Nucl.Phys. B450 (1995) 267-292 | 10.1016/0550-3213(95)00189-Y | IASSNS-HEP-94/100, NEIP-94-009, OSU Math 1993-3, UTTG-25-93 | hep-th alg-geom math.AG | null | Recently two groups have listed all sets of weights (k_1,...,k_5) such that
the weighted projective space P_4^{(k_1,...,k_5)} admits a transverse
Calabi-Yau hypersurface. It was noticed that the corresponding Calabi-Yau
manifolds do not form a mirror symmetric set since some 850 of the 7555
manifolds have Hodge numbers (b_{11},b_{21}) whose mirrors do not occur in the
list. By means of Batyrev's construction we have checked that each of the 7555
manifolds does indeed have a mirror. The `missing mirrors' are constructed as
hypersurfaces in toric varieties. We show that many of these manifolds may be
interpreted as non-transverse hypersurfaces in weighted P_4's, ie,
hypersurfaces for which dp vanishes at a point other than the origin. This
falls outside the usual range of Landau--Ginzburg theory. Nevertheless
Batyrev's procedure provides a way of making sense of these theories.
| [
{
"created": "Tue, 13 Dec 1994 20:33:20 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Candelas",
"Philip",
""
],
[
"de la Ossa",
"Xenia",
""
],
[
"Katz",
"Sheldon",
""
]
] | Recently two groups have listed all sets of weights (k_1,...,k_5) such that the weighted projective space P_4^{(k_1,...,k_5)} admits a transverse Calabi-Yau hypersurface. It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers (b_{11},b_{21}) whose mirrors do not occur in the list. By means of Batyrev's construction we have checked that each of the 7555 manifolds does indeed have a mirror. The `missing mirrors' are constructed as hypersurfaces in toric varieties. We show that many of these manifolds may be interpreted as non-transverse hypersurfaces in weighted P_4's, ie, hypersurfaces for which dp vanishes at a point other than the origin. This falls outside the usual range of Landau--Ginzburg theory. Nevertheless Batyrev's procedure provides a way of making sense of these theories. |
hep-th/0408087 | Oswald Haan | O. Haan | A Free-Algebraic Solution for the Planar Approximation | 15 pages, added reference | Nucl.Phys. B705 (2005) 563-576 | 10.1016/j.nuclphysb.2004.10.040 | null | hep-th | null | An explicit solution for the generating functional of n-point functions in
the planar approximation is given in terms of two sets of free-algebraic
annihilation and creation operators.
| [
{
"created": "Wed, 11 Aug 2004 08:56:59 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2004 07:22:15 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Haan",
"O.",
""
]
] | An explicit solution for the generating functional of n-point functions in the planar approximation is given in terms of two sets of free-algebraic annihilation and creation operators. |
1811.10894 | Tatsuya Ogawa | Hideki Ishihara and Tatsuya Ogawa | Charge Screened Nontopological Solitons in a Spontaneously Broken U(1)
Gauge Theory | 10 pages, 8 figures | Prog Theor Exp Phys (2019) | 10.1093/ptep/ptz005 | OCU-PHYS 491, AP-GR 151, NITEP 3 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct, numerically, stationary and spherically symmetric
nontopological soliton solutions in the system composed of a complex scalar
field, a U(1) gauge field, and a complex Higgs scalar field that causes
spontaneous symmetry braking. It is shown that the charge of the soliton is
screened by counter charge everywhere.
| [
{
"created": "Tue, 27 Nov 2018 09:56:19 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Dec 2018 12:30:08 GMT",
"version": "v2"
}
] | 2019-12-06 | [
[
"Ishihara",
"Hideki",
""
],
[
"Ogawa",
"Tatsuya",
""
]
] | We construct, numerically, stationary and spherically symmetric nontopological soliton solutions in the system composed of a complex scalar field, a U(1) gauge field, and a complex Higgs scalar field that causes spontaneous symmetry braking. It is shown that the charge of the soliton is screened by counter charge everywhere. |
1106.5787 | Gianluca Calcagni | Gianluca Calcagni | Geometry of fractional spaces | 90 pages, 6 figures, 4 tables. v2: section 5 revised, result
unchanged; v3: minor typos corrected | Adv. Theor. Math. Phys. 16 (2012) 549 | null | AEI-2011-029 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce fractional flat space, described by a continuous geometry with
constant non-integer Hausdorff and spectral dimensions. This is the analogue of
Euclidean space, but with anomalous scaling and diffusion properties. The basic
tool is fractional calculus, which is cast in a way convenient for the
definition of the differential structure, distances, volumes, and symmetries.
By an extensive use of concepts and techniques of fractal geometry, we clarify
the relation between fractional calculus and fractals, showing that fractional
spaces can be regarded as fractals when the ratio of their Hausdorff and
spectral dimension is greater than one. All the results are analytic and
constitute the foundation for field theories living on multi-fractal
spacetimes, which are presented in a companion paper.
| [
{
"created": "Tue, 28 Jun 2011 20:00:04 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Dec 2011 08:54:17 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jan 2013 23:33:12 GMT",
"version": "v3"
}
] | 2013-01-22 | [
[
"Calcagni",
"Gianluca",
""
]
] | We introduce fractional flat space, described by a continuous geometry with constant non-integer Hausdorff and spectral dimensions. This is the analogue of Euclidean space, but with anomalous scaling and diffusion properties. The basic tool is fractional calculus, which is cast in a way convenient for the definition of the differential structure, distances, volumes, and symmetries. By an extensive use of concepts and techniques of fractal geometry, we clarify the relation between fractional calculus and fractals, showing that fractional spaces can be regarded as fractals when the ratio of their Hausdorff and spectral dimension is greater than one. All the results are analytic and constitute the foundation for field theories living on multi-fractal spacetimes, which are presented in a companion paper. |
hep-th/9511052 | Emil Martinec | E.J. Martinec and N.P. Warner | Integrability in N=2 Gauge Theory: A Proof | 12 pages, latex | null | null | EFI-95-70, USC-95/028 | hep-th | null | The holomorphic prepotential of ultraviolet finite N=2 supersymmetric gauge
theories is obtained by a partial twisting of N=1 gauge theory in six
dimensions, compactified on $\IR^4\timesT^2$. We show that Ward identities for
the conserved chiral $\R$-symmetry in these theories generate a set of
constraints on the correlation functions of chiral ring operators. These
correlators depend only on the coordinates of the $T^2$, and the constraints
are analogs of the Knihnik-Zamolodchikov-Bernard equations at the critical
level.
| [
{
"created": "Wed, 8 Nov 1995 01:54:03 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Martinec",
"E. J.",
""
],
[
"Warner",
"N. P.",
""
]
] | The holomorphic prepotential of ultraviolet finite N=2 supersymmetric gauge theories is obtained by a partial twisting of N=1 gauge theory in six dimensions, compactified on $\IR^4\timesT^2$. We show that Ward identities for the conserved chiral $\R$-symmetry in these theories generate a set of constraints on the correlation functions of chiral ring operators. These correlators depend only on the coordinates of the $T^2$, and the constraints are analogs of the Knihnik-Zamolodchikov-Bernard equations at the critical level. |
1207.2203 | Shigeki Sugimoto | Shigeki Sugimoto | Confinement and Dynamical Symmetry Breaking in non-SUSY Gauge Theory
from S-duality in String Theory | 41 pages, v2: minor corrections, version published in PTP | Prog. Theor. Phys. 128 (2012), 1175-1209 | 10.1143/PTP.128.1175 | IPMU 12-0138 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss an attempt to understand confinement and dynamical symmetry
breaking in a 4-dimensional non-supersymmetric gauge theory using S-duality in
type IIB string theory. The electric theory is a USp(2n) gauge theory and its
magnetic dual is argued to be an SO(2n) or SO(2n-1) gauge theory. These
theories are obtained as the low-energy effective theory of O3-D3bar systems in
type IIB string theory, which are related by S-duality. Confinement and
dynamical symmetry breaking in the USp(2n) gauge theory are caused by the
condensation of scalar fields in the magnetic dual description, which is
consistent with the scenario of the dual Meissner mechanism for the
confinement.
| [
{
"created": "Tue, 10 Jul 2012 01:16:46 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2012 02:17:02 GMT",
"version": "v2"
}
] | 2013-01-03 | [
[
"Sugimoto",
"Shigeki",
""
]
] | We discuss an attempt to understand confinement and dynamical symmetry breaking in a 4-dimensional non-supersymmetric gauge theory using S-duality in type IIB string theory. The electric theory is a USp(2n) gauge theory and its magnetic dual is argued to be an SO(2n) or SO(2n-1) gauge theory. These theories are obtained as the low-energy effective theory of O3-D3bar systems in type IIB string theory, which are related by S-duality. Confinement and dynamical symmetry breaking in the USp(2n) gauge theory are caused by the condensation of scalar fields in the magnetic dual description, which is consistent with the scenario of the dual Meissner mechanism for the confinement. |
1904.07279 | Falko Dulat | Claude Duhr, Falko Dulat | PolyLogTools - Polylogs for the masses | Package URL: https://gitlab.com/pltteam/plt | null | 10.1007/JHEP08(2019)135 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We review recent developments in the study of multiple polylogarithms,
including the Hopf algebra of the multiple polylogarithms and the symbol map,
as well as the construction of single valued multiple polylogarithms and
discuss an algorithm for finding fibration bases. We document how these
algorithms are implemented in the Mathematica package PolyLogTools and show how
it can be used to study the coproduct structure of polylogarithmic expressions
and how to compute iterated parametric integrals over polylogarithmic
expressions that show up in Feynman integal computations at low loop orders.
| [
{
"created": "Mon, 15 Apr 2019 18:27:53 GMT",
"version": "v1"
}
] | 2019-10-02 | [
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
]
] | We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an algorithm for finding fibration bases. We document how these algorithms are implemented in the Mathematica package PolyLogTools and show how it can be used to study the coproduct structure of polylogarithmic expressions and how to compute iterated parametric integrals over polylogarithmic expressions that show up in Feynman integal computations at low loop orders. |
hep-th/9512060 | Hong-Bo Gao | H.B. Gao | More Dual String Pairs From Orbifolding | LaTex, 13 pages | Phys.Lett. B374 (1996) 57-63 | 10.1016/0370-2693(96)00236-5 | DTP-95-77, TUW-95-25 | hep-th | null | We construct more dual pairs of type II-heterotic strings in four dimensions
with $N=2,1$ spacetime supersymmetry. On the type II side the construction
utilizes the various possible choices of K3 automorphisms with fixed points
which transform the holomorphic two-form nontrivially, and rotation plus
translation on $T^2$. The Calabi-Yau orbifolds so obtained have non-zero Euler
numbers, so quantum corrections exist on the type IIA strings. The heterotic
string (asymmetric) orbifold duals are found which depend on going to the
enhanced symmetry points. Some aspects of the construction are discussed
including the role of the singularity and the possibility of going beyond the
adiabatic argument. Many of these examples have also orientifold analogs.
| [
{
"created": "Sun, 10 Dec 1995 11:18:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gao",
"H. B.",
""
]
] | We construct more dual pairs of type II-heterotic strings in four dimensions with $N=2,1$ spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which transform the holomorphic two-form nontrivially, and rotation plus translation on $T^2$. The Calabi-Yau orbifolds so obtained have non-zero Euler numbers, so quantum corrections exist on the type IIA strings. The heterotic string (asymmetric) orbifold duals are found which depend on going to the enhanced symmetry points. Some aspects of the construction are discussed including the role of the singularity and the possibility of going beyond the adiabatic argument. Many of these examples have also orientifold analogs. |
0710.5698 | Gabriel Catren | G. Catren, J. Devoto | Extended Connection in Yang-Mills Theory | 29 pages, minor corrections, one reference added | Commun.Math.Phys.284:93-116,2008 | 10.1007/s00220-008-0608-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three fundamental geometric components of Yang-Mills theory -gauge field,
gauge fixing and ghost field- are unified in a new object: an extended
connection in a properly chosen principal fiber bundle. To do this, it is
necessary to generalize the notion of gauge fixing by using a gauge fixing
connection instead of a section. From the equations for the extended
connection's curvature, we derive the relevant BRST transformations without
imposing the usual horizontality conditions. We show that the gauge field's
standard BRST transformation is only valid in a local trivialization and we
obtain the corresponding global generalization. By using the Faddeev-Popov
method, we apply the generalized gauge fixing to the path integral quantization
of Yang-Mills theory. We show that the proposed gauge fixing can be used even
in the presence of a Gribov's obstruction.
| [
{
"created": "Tue, 30 Oct 2007 16:58:20 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2008 13:04:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Catren",
"G.",
""
],
[
"Devoto",
"J.",
""
]
] | The three fundamental geometric components of Yang-Mills theory -gauge field, gauge fixing and ghost field- are unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to generalize the notion of gauge fixing by using a gauge fixing connection instead of a section. From the equations for the extended connection's curvature, we derive the relevant BRST transformations without imposing the usual horizontality conditions. We show that the gauge field's standard BRST transformation is only valid in a local trivialization and we obtain the corresponding global generalization. By using the Faddeev-Popov method, we apply the generalized gauge fixing to the path integral quantization of Yang-Mills theory. We show that the proposed gauge fixing can be used even in the presence of a Gribov's obstruction. |
hep-th/0408132 | Fidel Schaposnik | F.A. Schaposnik | Three lectures on noncommutative field theories | Lectures given at the II International Conference on Fundamental
Interactions, Pedra Azul, Brazil, June 2004. 53 pages | null | null | null | hep-th | null | Classical and quantum aspects of noncommutative field theories are discussed.
In particular, noncommutative solitons and instantons are constructed and also
d=2,3 noncommutative fermion and bosonic (Wess-Zumino-Witten and
Chern-Simons)theories are analyzed.
| [
{
"created": "Wed, 18 Aug 2004 11:34:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schaposnik",
"F. A.",
""
]
] | Classical and quantum aspects of noncommutative field theories are discussed. In particular, noncommutative solitons and instantons are constructed and also d=2,3 noncommutative fermion and bosonic (Wess-Zumino-Witten and Chern-Simons)theories are analyzed. |
2101.08882 | Grigoris Panotopoulos | Constanza Osses, Nelson Videla and Grigoris Panotopoulos | Reheating in small-field inflation on the brane: The Swampland Criteria
and observational constraints in light of the PLANCK 2018 results | 57 pages, 13 tables, 16 figures, discussion added | null | 10.1140/epjc/s10052-021-09283-6 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study cosmological inflation and its dynamics in the framework of the
Randall-Sundrum II brane model. In particular, we analyze in detail four
representative small-field inflationary potentials, namely Natural inflation,
Hilltop inflation, Higgs-like inflation, and Exponential SUSY inflation, each
characterized by two mass scales. We constrain the parameters for which a
viable inflationary Universe emerges using the latest PLANCK results.
Furthermore, we investigate whether or not those models in brane cosmology are
consistent with the recently proposed Swampland Criteria, and give predictions
for the duration of reheating as well as for the reheating temperature after
inflation. Our results show that (i) the distance conjecture is satisfied, (ii)
the de Sitter conjecture and its refined version may be avoided, and (iii) the
allowed range for the five-dimensional Planck mass, $M_5$, is found to be
between $10^5~\textrm{TeV}$ and $10^{12}~\textrm{TeV}$. Our main findings
indicate that non-thermal leptogenesis cannot work within the framework of
RS-II brane cosmology, at least for the inflationary potentials considered
here.
| [
{
"created": "Thu, 21 Jan 2021 23:10:58 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2021 13:16:43 GMT",
"version": "v2"
}
] | 2021-06-16 | [
[
"Osses",
"Constanza",
""
],
[
"Videla",
"Nelson",
""
],
[
"Panotopoulos",
"Grigoris",
""
]
] | We study cosmological inflation and its dynamics in the framework of the Randall-Sundrum II brane model. In particular, we analyze in detail four representative small-field inflationary potentials, namely Natural inflation, Hilltop inflation, Higgs-like inflation, and Exponential SUSY inflation, each characterized by two mass scales. We constrain the parameters for which a viable inflationary Universe emerges using the latest PLANCK results. Furthermore, we investigate whether or not those models in brane cosmology are consistent with the recently proposed Swampland Criteria, and give predictions for the duration of reheating as well as for the reheating temperature after inflation. Our results show that (i) the distance conjecture is satisfied, (ii) the de Sitter conjecture and its refined version may be avoided, and (iii) the allowed range for the five-dimensional Planck mass, $M_5$, is found to be between $10^5~\textrm{TeV}$ and $10^{12}~\textrm{TeV}$. Our main findings indicate that non-thermal leptogenesis cannot work within the framework of RS-II brane cosmology, at least for the inflationary potentials considered here. |
hep-th/0108066 | David Henty | D. L. Henty | BF Theory On A Brane | 11 pages, Latex, no figures | null | null | null | hep-th | null | An alternative approach to introducing gravitational dynamics on a brane
embedded in a higher dimensional spacetime is presented. The brane is treated
as a boundary of a higher dimensional manifold in which the bulk action is
described by a metric independent topological quantum field theory. The example
of a five dimensional non-Abelian BF theory with a boundary brane is
considered. A natural boundary condition is adopted chosen for consistency of
the topological action despite the presence of a boundary. The resulting
effective action on the brane is the action of general relativity in first
order form plus terms involving the extrinsic curvature of the brane.
| [
{
"created": "Fri, 10 Aug 2001 01:20:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Henty",
"D. L.",
""
]
] | An alternative approach to introducing gravitational dynamics on a brane embedded in a higher dimensional spacetime is presented. The brane is treated as a boundary of a higher dimensional manifold in which the bulk action is described by a metric independent topological quantum field theory. The example of a five dimensional non-Abelian BF theory with a boundary brane is considered. A natural boundary condition is adopted chosen for consistency of the topological action despite the presence of a boundary. The resulting effective action on the brane is the action of general relativity in first order form plus terms involving the extrinsic curvature of the brane. |
0810.2952 | Giampiero Esposito Dr. | George M. Napolitano, Giampiero Esposito, Luigi Rosa | Energy-momentum tensor for a scalar Casimir apparatus in a weak
gravitational field: Neumann conditions | 5 pages in double-column format, Revtex4. The final version is
shorter, and the presentation has been improved | Phys.Rev.D78:107701,2008 | 10.1103/PhysRevD.78.107701 | DSF 2008/24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a Casimir apparatus consisting of two perfectly conducting
parallel plates, subject to the weak gravitational field of the Earth. The aim
of this paper is the calculation of the energy-momentum tensor of this system
for a free, real massless scalar field satisfying Neumann boundary conditions
on the plates. The small gravity acceleration (here considered as not varying
between the two plates) allows us to perform all calculations to first order in
this parameter. Some interesting results are found: a correction, depending on
the gravity acceleration, to the well-known Casimir energy and pressure on the
plates. Moreover, this scheme predicts a tiny force in the upwards direction
acting on the apparatus. These results are supported by two consistency checks:
the covariant conservation of the energy-momentum tensor and the vanishing of
its regularized trace, when the scalar field is conformally coupled to gravity.
| [
{
"created": "Thu, 16 Oct 2008 16:05:55 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Nov 2008 08:41:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Napolitano",
"George M.",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Rosa",
"Luigi",
""
]
] | We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free, real massless scalar field satisfying Neumann boundary conditions on the plates. The small gravity acceleration (here considered as not varying between the two plates) allows us to perform all calculations to first order in this parameter. Some interesting results are found: a correction, depending on the gravity acceleration, to the well-known Casimir energy and pressure on the plates. Moreover, this scheme predicts a tiny force in the upwards direction acting on the apparatus. These results are supported by two consistency checks: the covariant conservation of the energy-momentum tensor and the vanishing of its regularized trace, when the scalar field is conformally coupled to gravity. |
1906.00667 | S. Prem Kumar | Justin R. David, Timothy J. Hollowood, Surbhi Khetrapal and S. Prem
Kumar | Chaos bound in Bershadsky-Polyakov theory | 45 pages, 4 figures, version published in JHEP | null | 10.1007/JHEP10(2019)077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two dimensional conformal field theory (CFT) with large central
charge c in an excited state obtained by the insertion of an operator \Phi with
large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state.
We argue that correlation functions of light operators in such a state can be
viewed as thermal correlators with a rescaled effective temperature. The
effective temperature controls the growth of out-of-time order (OTO)
correlators and results in a violation of the universal upper bound on the
associated Lyapunov exponent when \Delta_\Phi <0 and the CFT is nonunitary. We
present a specific realization of this situation in the holographic
Chern-Simons formulation of a CFT with {W}^{(2)}_3 symmetry also known as the
Bershadsky-Polyakov algebra. We examine the precise correspondence between the
semiclassical (large-c) representations of this algebra and the Chern-Simons
formulation, and infer that the holographic CFT possesses a discretuum of
degenerate ground states with negative conformal dimension \Delta_\Phi =- c/8.
Using the Wilson line prescription to compute entanglement entropy and OTO
correlators in the holographic CFT undergoing a local quench, we find the
Lyapunov exponent \lambda_L = 4\pi/ \beta, violating the universal chaos bound.
| [
{
"created": "Mon, 3 Jun 2019 09:45:01 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jul 2019 10:27:44 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Oct 2019 15:07:50 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"David",
"Justin R.",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Khetrapal",
"Surbhi",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator \Phi with large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state. We argue that correlation functions of light operators in such a state can be viewed as thermal correlators with a rescaled effective temperature. The effective temperature controls the growth of out-of-time order (OTO) correlators and results in a violation of the universal upper bound on the associated Lyapunov exponent when \Delta_\Phi <0 and the CFT is nonunitary. We present a specific realization of this situation in the holographic Chern-Simons formulation of a CFT with {W}^{(2)}_3 symmetry also known as the Bershadsky-Polyakov algebra. We examine the precise correspondence between the semiclassical (large-c) representations of this algebra and the Chern-Simons formulation, and infer that the holographic CFT possesses a discretuum of degenerate ground states with negative conformal dimension \Delta_\Phi =- c/8. Using the Wilson line prescription to compute entanglement entropy and OTO correlators in the holographic CFT undergoing a local quench, we find the Lyapunov exponent \lambda_L = 4\pi/ \beta, violating the universal chaos bound. |
0810.3467 | Vladimir Alexandrovich Krykhtin | I.L. Buchbinder, V.A. Krykhtin, L.L. Ryskina | BRST approach to Lagrangian formulation of bosonic totally antisymmeric
tensor fields in curved space | 12 pages | Mod.Phys.Lett.A24:401-414,2009 | 10.1142/S021773230903014X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the BRST approach, previously developed for higher spin field
theories, to gauge invariant Lagrangian construction for antisymmetric massive
and massless bosonic fields in arbitrary d-dimensional curved space. The
obtained theories are reducible gauge models both in massless and massive cases
and the order of reducibility grows with the value of the rank of the
antisymmetric field. In both the cases the Lagrangians contain the sets of
auxiliary fields and possess more rich gauge symmetry in comparison with
standard Lagrangian formulation for the antisymmetric fields. This serves
additional demonstration of universality of the BRST approach for Lagrangian
constructions in various field models.
| [
{
"created": "Mon, 20 Oct 2008 06:12:47 GMT",
"version": "v1"
}
] | 2009-03-31 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
],
[
"Ryskina",
"L. L.",
""
]
] | We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories are reducible gauge models both in massless and massive cases and the order of reducibility grows with the value of the rank of the antisymmetric field. In both the cases the Lagrangians contain the sets of auxiliary fields and possess more rich gauge symmetry in comparison with standard Lagrangian formulation for the antisymmetric fields. This serves additional demonstration of universality of the BRST approach for Lagrangian constructions in various field models. |
hep-th/9607137 | Gary Shiu | Zurab Kakushadze, Gary Shiu, and S.-H. Henry Tye | Asymmetric Non-Abelian Orbifolds and Model Building | 30 pages, Revtex 3.0 | Phys.Rev. D54 (1996) 7545-7560 | 10.1103/PhysRevD.54.7545 | Cornell preprint CLNS 96/1414 | hep-th | null | The rules for the free fermionic string model construction are extended to
include general non-abelian orbifold constructions that go beyond the real
fermionic approach. This generalization is also applied to the asymmetric
orbifold rules recently introduced. These non-abelian orbifold rules are quite
easy to use. Examples are given to illustrate their applications.
| [
{
"created": "Tue, 16 Jul 1996 19:56:08 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kakushadze",
"Zurab",
""
],
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | The rules for the free fermionic string model construction are extended to include general non-abelian orbifold constructions that go beyond the real fermionic approach. This generalization is also applied to the asymmetric orbifold rules recently introduced. These non-abelian orbifold rules are quite easy to use. Examples are given to illustrate their applications. |
hep-th/0412325 | Urs Schreiber | John Baez, Urs Schreiber | Higher Gauge Theory: 2-Connections on 2-Bundles | 73 pp, 4 eps figures | null | null | null | hep-th | null | Connections and curvings on gerbes are beginning to play a vital role in
differential geometry and mathematical physics -- first abelian gerbes, and
more recently nonabelian gerbes. These concepts can be elegantly understood
using the concept of `2-bundle' recently introduced by Bartels. A 2-bundle is a
generalization of a bundle in which the fibers are categories rather than sets.
Here we introduce the concept of a `2-connection' on a principal 2-bundle. We
describe principal 2-bundles with connection in terms of local data, and show
that under certain conditions this reduces to the cocycle data for nonabelian
gerbes with connection and curving subject to a certain constraint -- namely,
the vanishing of the `fake curvature', as defined by Breen and Messing. This
constraint also turns out to guarantee the existence of `2-holonomies': that
is, parallel transport over both curves and surfaces, fitting together to
define a 2-functor from the `path 2-groupoid' of the base space to the
structure 2-group. We give a general theory of 2-holonomies and show how they
are related to ordinary parallel transport on the path space of the base
manifold.
| [
{
"created": "Thu, 30 Dec 2004 10:30:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Baez",
"John",
""
],
[
"Schreiber",
"Urs",
""
]
] | Connections and curvings on gerbes are beginning to play a vital role in differential geometry and mathematical physics -- first abelian gerbes, and more recently nonabelian gerbes. These concepts can be elegantly understood using the concept of `2-bundle' recently introduced by Bartels. A 2-bundle is a generalization of a bundle in which the fibers are categories rather than sets. Here we introduce the concept of a `2-connection' on a principal 2-bundle. We describe principal 2-bundles with connection in terms of local data, and show that under certain conditions this reduces to the cocycle data for nonabelian gerbes with connection and curving subject to a certain constraint -- namely, the vanishing of the `fake curvature', as defined by Breen and Messing. This constraint also turns out to guarantee the existence of `2-holonomies': that is, parallel transport over both curves and surfaces, fitting together to define a 2-functor from the `path 2-groupoid' of the base space to the structure 2-group. We give a general theory of 2-holonomies and show how they are related to ordinary parallel transport on the path space of the base manifold. |
hep-th/9312123 | Pavel Etingof | Pavel Etingof and Boris Khesin | Affine Gelfand-Dickey brackets and holomorphic vector bundles | 24 pages, no figures | null | null | null | hep-th math.QA | null | Conjecture 9B from the previous version of the paper stating that any
holomorphic vector bundle on an elliptic curve can be realized by a scalar
differential equation has now been proved by the authors. The proof is included
in the new version.
| [
{
"created": "Tue, 14 Dec 1993 18:21:50 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 1994 23:41:33 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Etingof",
"Pavel",
""
],
[
"Khesin",
"Boris",
""
]
] | Conjecture 9B from the previous version of the paper stating that any holomorphic vector bundle on an elliptic curve can be realized by a scalar differential equation has now been proved by the authors. The proof is included in the new version. |
hep-th/0009083 | Max Zucker | Max Zucker | Supersymmetric Brane World Scenarios from Off-Shell Supergravity | 15 pages, no figures, latex | Phys.Rev. D64 (2001) 024024 | 10.1103/PhysRevD.64.024024 | null | hep-th | null | Using N=2 off-shell supergravity in five dimensions, we supersymmetrize the
brane world scenario of Randall and Sundrum. We extend their construction to
include supersymmetric matter at the fixpoints.
| [
{
"created": "Mon, 11 Sep 2000 17:01:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zucker",
"Max",
""
]
] | Using N=2 off-shell supergravity in five dimensions, we supersymmetrize the brane world scenario of Randall and Sundrum. We extend their construction to include supersymmetric matter at the fixpoints. |
hep-th/0104190 | Dietmar Klemm | Dietmar Klemm, Silvia Penati and Laura Tamassia | Non(anti)commutative Superspace | LaTeX, 16 pages, shortened version to appear in Class. Quant. Grav | Class.Quant.Grav. 20 (2003) 2905-2916 | 10.1088/0264-9381/20/13/333 | Bicocca-FT-01-11, IFUM-686-FT | hep-th | null | We investigate the most general non(anti)commutative geometry in N=1
four-dimensional superspace, invariant under the classical (i.e., undeformed)
supertranslation group. We find that a nontrivial non(anti)commutative
superspace geometry compatible with supertranslations exists with
non(anti)commutation parameters which may depend on the spinorial coordinates.
The algebra is in general nonassociative. Imposing associativity introduces
additional constraints which however allow for nontrivial commutation relations
involving fermionic coordinates. We obtain explicitly the first three terms of
a series expansion in the deformation parameter for a possible associative
*-product. We also consider the case of N=2 euclidean superspace where the
different conjugation relations among spinorial coordinates allow for a more
general supergeometry.
| [
{
"created": "Mon, 23 Apr 2001 13:56:46 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2003 10:11:50 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Klemm",
"Dietmar",
""
],
[
"Penati",
"Silvia",
""
],
[
"Tamassia",
"Laura",
""
]
] | We investigate the most general non(anti)commutative geometry in N=1 four-dimensional superspace, invariant under the classical (i.e., undeformed) supertranslation group. We find that a nontrivial non(anti)commutative superspace geometry compatible with supertranslations exists with non(anti)commutation parameters which may depend on the spinorial coordinates. The algebra is in general nonassociative. Imposing associativity introduces additional constraints which however allow for nontrivial commutation relations involving fermionic coordinates. We obtain explicitly the first three terms of a series expansion in the deformation parameter for a possible associative *-product. We also consider the case of N=2 euclidean superspace where the different conjugation relations among spinorial coordinates allow for a more general supergeometry. |
1903.06140 | Michael Seifert | Michael D. Seifert | Singular Hamiltonians in models with spontaneous Lorentz symmetry
breaking | 11 pages | Phys. Rev. D 100, 065017 (2019) | 10.1103/PhysRevD.100.065017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many current models which "violate Lorentz symmetry" do so via a vector or
tensor field which takes on a vacuum expectation value, thereby spontaneously
breaking the underlying Lorentz symmetry of the Lagrangian. One common way to
construct such a model is to posit a smooth potential for this field; the
natural low-energy solution of such a model would then be excepted to have the
tensor field near the minimum of its potential. It is shown in this work that
some such models, while appearing well-posed at the level of the Lagrangian,
have a Hamiltonian which is singular on the vacuum manifold and are therefore
ill-posed. I illustrate this pathology for an antisymmetric rank-2 tensor
field, and find sufficient conditions under which this pathology occurs for
more general field theories.
| [
{
"created": "Thu, 14 Mar 2019 17:37:52 GMT",
"version": "v1"
}
] | 2019-10-02 | [
[
"Seifert",
"Michael D.",
""
]
] | Many current models which "violate Lorentz symmetry" do so via a vector or tensor field which takes on a vacuum expectation value, thereby spontaneously breaking the underlying Lorentz symmetry of the Lagrangian. One common way to construct such a model is to posit a smooth potential for this field; the natural low-energy solution of such a model would then be excepted to have the tensor field near the minimum of its potential. It is shown in this work that some such models, while appearing well-posed at the level of the Lagrangian, have a Hamiltonian which is singular on the vacuum manifold and are therefore ill-posed. I illustrate this pathology for an antisymmetric rank-2 tensor field, and find sufficient conditions under which this pathology occurs for more general field theories. |
hep-th/0410276 | Stefano Bellucci | S. Bellucci, S. Krivonos and A. Sutulin | N=8 Supersymmetric Quaternionic Mechanics | Both ref. [14] and acknowledgements updated | Phys.Lett. B605 (2005) 406-412 | 10.1016/j.physletb.2004.11.058 | null | hep-th | null | We construct N=8 supersymmetric mechanics with four bosonic end eight
fermionic physical degrees of freedom. Starting from the most general N=4
superspace action in harmonic superspace for the ({\bf 4,8,4}) supermultiplet
we find conditions which make it N=8 invariant. We introduce in the action
Fayet-Iliopoulos terms which give rise to potential terms. We present the
action in components and give explicit expressions for the Hamiltonian and
Poisson brackets. Finally we discuss the possibility of N=9 supersymmetric
mechanics.
| [
{
"created": "Thu, 28 Oct 2004 15:08:49 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2005 15:09:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bellucci",
"S.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] | We construct N=8 supersymmetric mechanics with four bosonic end eight fermionic physical degrees of freedom. Starting from the most general N=4 superspace action in harmonic superspace for the ({\bf 4,8,4}) supermultiplet we find conditions which make it N=8 invariant. We introduce in the action Fayet-Iliopoulos terms which give rise to potential terms. We present the action in components and give explicit expressions for the Hamiltonian and Poisson brackets. Finally we discuss the possibility of N=9 supersymmetric mechanics. |
1403.1277 | Aleksey Cherman | Aleksey Cherman, Daniele Dorigoni, Mithat Unsal | Decoding perturbation theory using resurgence: Stokes phenomena, new
saddle points and Lefschetz thimbles | 80 pages, 13 figures; v2 - various clarifications and minor
corrections | null | null | DAMTP-2014-17,UMN-TH-2239/14,FTPI-MINN-14/8 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Resurgence theory implies that the non-perturbative (NP) and perturbative (P)
data in a QFT are quantitatively related, and that detailed information about
non-perturbative saddle point field configurations of path integrals can be
extracted from perturbation theory. Traditionally, only stable NP saddle points
are considered in QFT, and homotopy group considerations are used to classify
them. However, in many QFTs the relevant homotopy groups are trivial, and even
when they are non-trivial they leave many NP saddle points undetected.
Resurgence provides a refined classification of NP-saddles, going beyond
conventional topological considerations. To demonstrate some of these ideas, we
study the $SU(N)$ principal chiral model (PCM), a two dimensional
asymptotically free matrix field theory which has no instantons, because the
relevant homotopy group is trivial. Adiabatic continuity is used to reach a
weakly coupled regime where NP effects are calculable. We then use resurgence
theory to uncover the existence and role of novel `fracton' saddle points,
which turn out to be the fractionalized constituents of previously observed
unstable `uniton' saddle points. The fractons play a crucial role in the
physics of the PCM, and are responsible for the dynamically generated mass gap
of the theory. Moreover, we show that the fracton-anti-fracton events are the
weak coupling realization of 't Hooft's renormalons, and argue that the
renormalon ambiguities are systematically cancelled in the semi-classical
expansion. Our results motivate the conjecture that the semi-classical
expansion of the path integral can be geometrized as a sum over Lefschetz
thimbles.
| [
{
"created": "Wed, 5 Mar 2014 21:36:05 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Mar 2015 16:51:54 GMT",
"version": "v2"
}
] | 2015-03-24 | [
[
"Cherman",
"Aleksey",
""
],
[
"Dorigoni",
"Daniele",
""
],
[
"Unsal",
"Mithat",
""
]
] | Resurgence theory implies that the non-perturbative (NP) and perturbative (P) data in a QFT are quantitatively related, and that detailed information about non-perturbative saddle point field configurations of path integrals can be extracted from perturbation theory. Traditionally, only stable NP saddle points are considered in QFT, and homotopy group considerations are used to classify them. However, in many QFTs the relevant homotopy groups are trivial, and even when they are non-trivial they leave many NP saddle points undetected. Resurgence provides a refined classification of NP-saddles, going beyond conventional topological considerations. To demonstrate some of these ideas, we study the $SU(N)$ principal chiral model (PCM), a two dimensional asymptotically free matrix field theory which has no instantons, because the relevant homotopy group is trivial. Adiabatic continuity is used to reach a weakly coupled regime where NP effects are calculable. We then use resurgence theory to uncover the existence and role of novel `fracton' saddle points, which turn out to be the fractionalized constituents of previously observed unstable `uniton' saddle points. The fractons play a crucial role in the physics of the PCM, and are responsible for the dynamically generated mass gap of the theory. Moreover, we show that the fracton-anti-fracton events are the weak coupling realization of 't Hooft's renormalons, and argue that the renormalon ambiguities are systematically cancelled in the semi-classical expansion. Our results motivate the conjecture that the semi-classical expansion of the path integral can be geometrized as a sum over Lefschetz thimbles. |
2007.06306 | Boris Latosh | Andrej Arbuzov, Boris Latosh | Effective Potential of Scalar-Tensor Gravity | Minor corrections. Class. Quantum Grav (2020) | null | 10.1088/1361-6382/abc572 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Effective potential of a scalar field induced by weak gravity is studied. The
set of operators relevant for leading effects and preserving the second order
of field equations is found. It is shown that only the mass term and a specific
Brans-Dicke-like interaction are relevant within such a setup. The explicit
form of the potential is found. The model has room for a natural inflationary
scenario similar to the well-known case of the Starobinsky inflation. Possible
implications for the Standard Model are highlighted.
| [
{
"created": "Mon, 13 Jul 2020 10:58:18 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jul 2020 10:17:43 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Oct 2020 11:47:01 GMT",
"version": "v3"
}
] | 2020-10-30 | [
[
"Arbuzov",
"Andrej",
""
],
[
"Latosh",
"Boris",
""
]
] | Effective potential of a scalar field induced by weak gravity is studied. The set of operators relevant for leading effects and preserving the second order of field equations is found. It is shown that only the mass term and a specific Brans-Dicke-like interaction are relevant within such a setup. The explicit form of the potential is found. The model has room for a natural inflationary scenario similar to the well-known case of the Starobinsky inflation. Possible implications for the Standard Model are highlighted. |
hep-th/0111045 | Douglas Singleton | Sergiu I. Vacaru and D. Singleton | Warped, Anisotropic Wormhole/Soliton Configurations in Vacuum 5D Gravity | 21 pages revtex | Class.Quant.Grav. 19 (2002) 2793-2811 | 10.1088/0264-9381/19/11/304 | null | hep-th gr-qc math-ph math.DG math.MP nlin.PS nlin.SI | null | In this paper we apply the anholonomic frames method developed in refs. [1-4]
to construct and study anisotropic vacuum field configurations in 5D gravity.
Starting with an off--diagonal 5D metric, parameterized in terms of several
ansatz functions, we show that using anholonomic frames greatly simplifies the
resulting Einstein field equations. These simplified equations contain an
interesting freedom in that one can chose one of the ansatz functions and then
determine the remaining ansatz functions in terms of this choice. As examples
we take one of the ansatz functions to be a solitonic solution of either the
Kadomtsev-Petviashvili equation or the sine-Gordon equation. There are several
interesting physical consequences of these solutions. First, a certain subclass
of the solutions discussed in this paper have an exponential warp factor
similar to that of the Randall-Sundrum model. However, the warp factor depends
on more than just the 5$^{th}$ coordinate. In addition the warp factor arises
from anisotropic vacuum solution rather than from any explicit matter. Second,
the solitonic character of these solutions might allow them to be interpreted
either as gravitational models for particles (i.e. analogous to the ' t
Hooft-Polyakov monopole, but in the context of gravity), or as nonlinear,
anisotropic gravitational waves.
| [
{
"created": "Tue, 6 Nov 2001 04:24:22 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Vacaru",
"Sergiu I.",
""
],
[
"Singleton",
"D.",
""
]
] | In this paper we apply the anholonomic frames method developed in refs. [1-4] to construct and study anisotropic vacuum field configurations in 5D gravity. Starting with an off--diagonal 5D metric, parameterized in terms of several ansatz functions, we show that using anholonomic frames greatly simplifies the resulting Einstein field equations. These simplified equations contain an interesting freedom in that one can chose one of the ansatz functions and then determine the remaining ansatz functions in terms of this choice. As examples we take one of the ansatz functions to be a solitonic solution of either the Kadomtsev-Petviashvili equation or the sine-Gordon equation. There are several interesting physical consequences of these solutions. First, a certain subclass of the solutions discussed in this paper have an exponential warp factor similar to that of the Randall-Sundrum model. However, the warp factor depends on more than just the 5$^{th}$ coordinate. In addition the warp factor arises from anisotropic vacuum solution rather than from any explicit matter. Second, the solitonic character of these solutions might allow them to be interpreted either as gravitational models for particles (i.e. analogous to the ' t Hooft-Polyakov monopole, but in the context of gravity), or as nonlinear, anisotropic gravitational waves. |
hep-th/0604026 | Pei-Ming Ho | Pei-Ming Ho, Xue-Yan Lin | Linear relations among 4-point functions in the high energy limit of
string theory | 17 pages, references added, minor modification | Phys.Rev.D73:126007,2006 | 10.1103/PhysRevD.73.126007 | null | hep-th | null | The decoupling of zero-norm states leads to linear relations among 4-point
functions in the high energy limit of string theory. Recently it was shown that
the linear relations uniquely determine ratios among 4-point functions at the
leading order. The purpose of this paper is to extend the validity of the same
approach to the next-to-leading order and higher orders.
| [
{
"created": "Wed, 5 Apr 2006 02:08:19 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2006 14:44:43 GMT",
"version": "v2"
},
{
"created": "Tue, 30 May 2006 13:36:43 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Ho",
"Pei-Ming",
""
],
[
"Lin",
"Xue-Yan",
""
]
] | The decoupling of zero-norm states leads to linear relations among 4-point functions in the high energy limit of string theory. Recently it was shown that the linear relations uniquely determine ratios among 4-point functions at the leading order. The purpose of this paper is to extend the validity of the same approach to the next-to-leading order and higher orders. |
hep-th/9312192 | Yutaka Matsuo | Y. Matsuo | Free Fields and Quasi-Finite Representation of $W_{1+\infty}$ Algebra | 10 pages, UT-661, harvmac Reference is corrected | Phys.Lett. B326 (1994) 95-100 | 10.1016/0370-2693(94)91198-3 | null | hep-th | null | We study quasi-finite representation of the $\Winf$ algebra recently proposed
by Kac and Radul. When the central charge is integer, we show that they are
represented by free fermions and bosonic ghosts. There are some nontrivial
representations with vanishing central charge. We discuss that they may be
described by large $N$ limit of topological models. We calculate their operator
algebras explicitly.
| [
{
"created": "Fri, 24 Dec 1993 13:00:28 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 1994 04:04:46 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Matsuo",
"Y.",
""
]
] | We study quasi-finite representation of the $\Winf$ algebra recently proposed by Kac and Radul. When the central charge is integer, we show that they are represented by free fermions and bosonic ghosts. There are some nontrivial representations with vanishing central charge. We discuss that they may be described by large $N$ limit of topological models. We calculate their operator algebras explicitly. |
hep-th/9612191 | David Berman | D.S.Berman | Classical Duality from dimensional reduction of Self Dual 4-form Maxwell
Theory in 10 dimensions | 8 pages, tex, no figures, typos corrected, To coincide with published
version, references added | Phys.Lett. B403 (1997) 250-256 | 10.1016/S0370-2693(97)00553-4 | CERN-TH/96-366 | hep-th | null | By dimensional reduction of a self dual p-form theory on some compact space,
we determine the duality generators of the gauge theory in 4 dimensions. In
this picture duality is seen as a consequence of the geometry of the compact
space. We describe the dimensional reduction of 10-dimensional self dual 4-form
Maxwell theory to give a theory in 4-dimensions with scalar, one form and two
form fields that all transform non trivially under duality.
| [
{
"created": "Wed, 18 Dec 1996 16:08:27 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 1997 11:06:44 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jul 1997 17:49:21 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Berman",
"D. S.",
""
]
] | By dimensional reduction of a self dual p-form theory on some compact space, we determine the duality generators of the gauge theory in 4 dimensions. In this picture duality is seen as a consequence of the geometry of the compact space. We describe the dimensional reduction of 10-dimensional self dual 4-form Maxwell theory to give a theory in 4-dimensions with scalar, one form and two form fields that all transform non trivially under duality. |
hep-th/9802169 | Michel Rausch | P.Baseilhac, P. Grang\'e and M. Rausch de Traubenberg | Extension of sine-Gordon field theory from generalized Clifford algebras | LaTex,amstex, 10 pages; title changed, references added, some parts
suppressed | Mod. Phys. Lett. A 13 (1998) 2531 | 10.1142/S0217732398002692 | PM 98-05, LPT 98-02 | hep-th | null | Linearization of homogeneous polynomials of degree n and k variables leads to
generalized Clifford algebras. Multicomplex numbers are then introduced in
analogy to complex numbers with respect to usual Clifford algebra. In turn
multicomplex extensions of trigonometric functions are constructed in terms of
`compact' and `non-compact' variables. It gives rise to the natural extension
of the d-dimensional sine-Gordon field theory in the n-dimensional multicomplex
space. In dimension 2, the cases n=1,2,3,4 are identified as the quantum
integrable Liouville, sine-Gordon and known deformed Toda models. The general
case is discussed.
| [
{
"created": "Tue, 24 Feb 1998 13:51:20 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 1999 15:47:52 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Baseilhac",
"P.",
""
],
[
"Grangé",
"P.",
""
],
[
"de Traubenberg",
"M. Rausch",
""
]
] | Linearization of homogeneous polynomials of degree n and k variables leads to generalized Clifford algebras. Multicomplex numbers are then introduced in analogy to complex numbers with respect to usual Clifford algebra. In turn multicomplex extensions of trigonometric functions are constructed in terms of `compact' and `non-compact' variables. It gives rise to the natural extension of the d-dimensional sine-Gordon field theory in the n-dimensional multicomplex space. In dimension 2, the cases n=1,2,3,4 are identified as the quantum integrable Liouville, sine-Gordon and known deformed Toda models. The general case is discussed. |
hep-th/9306082 | Piljin Yi | Jaemo Park and Piljin Yi | Mass vs. Charge: Quantum Radiation from Zero Temperature Black Holes | CALT-68-1874, LaTeX, 10 pages, one separate figure | Phys.Lett.B317:41-45,1993 | 10.1016/0370-2693(93)91567-7 | null | hep-th gr-qc | null | We study the mass-charge relation for the semiclassical extremal black hole
of the $S$-wave sector Einstein-Maxwell theory coupled to $N$ conformal
scalars. The classical ratio $M/{|Q|}=1$ is shown to be modified to $M/{|Q|}
\simeq 1-k/6$ for small $ k \equiv N\hbar/(12\pi Q^{2})$. Furthermore,
numerical study for $k<2$ shows that $M/|Q|$ is a monotonically decreasing
function of $k$. We speculate on the consequence of such a modification in the
4-dimensional context.
| [
{
"created": "Fri, 18 Jun 1993 01:44:55 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Park",
"Jaemo",
""
],
[
"Yi",
"Piljin",
""
]
] | We study the mass-charge relation for the semiclassical extremal black hole of the $S$-wave sector Einstein-Maxwell theory coupled to $N$ conformal scalars. The classical ratio $M/{|Q|}=1$ is shown to be modified to $M/{|Q|} \simeq 1-k/6$ for small $ k \equiv N\hbar/(12\pi Q^{2})$. Furthermore, numerical study for $k<2$ shows that $M/|Q|$ is a monotonically decreasing function of $k$. We speculate on the consequence of such a modification in the 4-dimensional context. |
1103.2269 | Yuri Makeenko | Yuri Makeenko | An interplay between static potential and Reggeon trajectory for QCD
string | 12 pages, 1 figure; v2: references reordered | Phys.Lett.B699:199-203,2011 | 10.1016/j.physletb.2011.04.002 | ITEP-TH-11/11 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I consider two cases where QCD string is described by an effective theory of
long strings: the static potential and meson scattering amplitudes in the Regge
regime. I show how they can be solved in the mean-field approximation,
justified by the large number of space-time dimensions, and argue that it turns
out to be exact. I compare contributions from QCD string and perturbative QCD
and discuss experimental consequences for the scattering amplitudes.
| [
{
"created": "Fri, 11 Mar 2011 14:01:54 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2011 14:12:59 GMT",
"version": "v2"
}
] | 2011-04-21 | [
[
"Makeenko",
"Yuri",
""
]
] | I consider two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how they can be solved in the mean-field approximation, justified by the large number of space-time dimensions, and argue that it turns out to be exact. I compare contributions from QCD string and perturbative QCD and discuss experimental consequences for the scattering amplitudes. |
0901.2749 | Lisa Freyhult | Lisa Freyhult and Stefan Zieme | The virtual scaling function of AdS/CFT | 4 pages, references added, typos corrected and equation (26)
rewritten | Phys.Rev.D79:105009,2009 | 10.1103/PhysRevD.79.105009 | AEI-2009-005, NSF-KITP-09-06, UUITP-02/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We write an integral equation that incorporates finite corrections to the
large spin asymptotics of N=4 SYM twist operators from the non-linear integral
equation. We show that these corrections are an all-loop result, not affected
by wrapping effects, and agree, after determining the strong coupling
expansion, with string theory predictions.
| [
{
"created": "Mon, 19 Jan 2009 19:15:39 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 19:55:37 GMT",
"version": "v2"
}
] | 2009-07-30 | [
[
"Freyhult",
"Lisa",
""
],
[
"Zieme",
"Stefan",
""
]
] | We write an integral equation that incorporates finite corrections to the large spin asymptotics of N=4 SYM twist operators from the non-linear integral equation. We show that these corrections are an all-loop result, not affected by wrapping effects, and agree, after determining the strong coupling expansion, with string theory predictions. |
1004.5381 | Stephen G. Naculich | Johannes M. Henn, Stephen G. Naculich, Howard J. Schnitzer, and Marcus
Spradlin | More loops and legs in Higgs-regulated N=4 SYM amplitudes | 34 pages, 5 figures; v2: references added; v3: minor changes,
published version | JHEP 1008:002,2010 | 10.1007/JHEP08(2010)002 | HU-EP-10/17, BOW-PH-147, BRX-TH-618, Brown-HET-1594 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the analysis of Higgs-regulated planar amplitudes of N=4
supersymmetric Yang-Mills theory to four loops for the four-gluon amplitude and
to two loops for the five-gluon amplitude. Our calculations are consistent with
a proposed all-loop ansatz for planar MHV n-gluon amplitudes that is the analog
of the BDS ansatz in dimensional regularization. In all cases considered, we
have verified that the IR-finite parts of the logarithm of the amplitudes have
the same dependence on kinematic variables as the corresponding functions in
dimensionally-regulated amplitudes (up to overall additive constants, which we
determine). We also study various Regge limits of N=4 SYM planar n-gluon
amplitudes. Euclidean Regge limits of Higgs-regulated n \geq 4 amplitudes yield
results similar in form to those found using dimensional regularization, but
with different expressions for the gluon trajectory and Regge vertices
resulting from the different regulator scheme. We also show that the Regge
limit of the four-gluon amplitude is dominated at next-to-leading-log order by
vertical ladder diagrams together with the class of vertical ladder diagrams
with a single H-shaped insertion.
| [
{
"created": "Thu, 29 Apr 2010 20:00:31 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 19:39:12 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Aug 2010 18:50:15 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Henn",
"Johannes M.",
""
],
[
"Naculich",
"Stephen G.",
""
],
[
"Schnitzer",
"Howard J.",
""
],
[
"Spradlin",
"Marcus",
""
]
] | We extend the analysis of Higgs-regulated planar amplitudes of N=4 supersymmetric Yang-Mills theory to four loops for the four-gluon amplitude and to two loops for the five-gluon amplitude. Our calculations are consistent with a proposed all-loop ansatz for planar MHV n-gluon amplitudes that is the analog of the BDS ansatz in dimensional regularization. In all cases considered, we have verified that the IR-finite parts of the logarithm of the amplitudes have the same dependence on kinematic variables as the corresponding functions in dimensionally-regulated amplitudes (up to overall additive constants, which we determine). We also study various Regge limits of N=4 SYM planar n-gluon amplitudes. Euclidean Regge limits of Higgs-regulated n \geq 4 amplitudes yield results similar in form to those found using dimensional regularization, but with different expressions for the gluon trajectory and Regge vertices resulting from the different regulator scheme. We also show that the Regge limit of the four-gluon amplitude is dominated at next-to-leading-log order by vertical ladder diagrams together with the class of vertical ladder diagrams with a single H-shaped insertion. |
2102.02854 | Fernando Tadeu Caldeira Brandt | F. T. Brandt, J. Frenkel, S. Martins-Filho and D. G. C. McKeon | Restricting loop expansions in gauge theories coupled to matter | 28 pages, 8 figures. To appear in the Annals of Physics (the
references have been sorted) | Annals of Physics 434, 168659 (2021) | 10.1016/j.aop.2021.168659 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Quantizing any model in which a Lagrange multiplier (LM) field is used to
restrict field configurations to those that satisfy the classical equations of
motion, leads to at most one-loop radiative corrections. This approach can be
used with both the Yang-Mills (YM) and Einstein-Hilbert (EH) action; the
resulting theory is both renormalizable and unitary, has a positive energy
spectrum and has no negative norm states contributing to physical processes.
Although this approach cannot be consistently used with scalar fields alone,
scalar fields can be coupled to gauge fields so that loop effects in the gauge
sector are restricted to one-loop order in a way that satisfies the usual
criterion for a consistent quantum field theory. The tree-level diagrams are
those of the classical theory in which the metric couples to the
energy-momentum tensor.
| [
{
"created": "Thu, 4 Feb 2021 19:40:14 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 2021 18:09:23 GMT",
"version": "v2"
},
{
"created": "Sat, 16 Oct 2021 01:40:01 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Oct 2021 23:38:15 GMT",
"version": "v4"
},
{
"cr... | 2023-04-24 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"Martins-Filho",
"S.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | Quantizing any model in which a Lagrange multiplier (LM) field is used to restrict field configurations to those that satisfy the classical equations of motion, leads to at most one-loop radiative corrections. This approach can be used with both the Yang-Mills (YM) and Einstein-Hilbert (EH) action; the resulting theory is both renormalizable and unitary, has a positive energy spectrum and has no negative norm states contributing to physical processes. Although this approach cannot be consistently used with scalar fields alone, scalar fields can be coupled to gauge fields so that loop effects in the gauge sector are restricted to one-loop order in a way that satisfies the usual criterion for a consistent quantum field theory. The tree-level diagrams are those of the classical theory in which the metric couples to the energy-momentum tensor. |
1201.6390 | Olaf Lechtenfeld | Olaf Lechtenfeld | Instantons and Chern-Simons flows in 6, 7 and 8 dimensions | 1+8 pages, 14 figures; talk presented at SQS-11 during 18-23 July,
2011, at JINR, Dubna, Russia; v2: missing * in eq.(1) added | null | 10.1134/S1063779612050218 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of K-instantons on a cylinder M^7 = R_tau x K/H over a
homogeneous nearly K"ahler 6-manifold K/H requires a conformally parallel or a
cocalibrated G_2-structure on M^7. The generalized anti-self-duality on M^7
implies a Chern-Simons flow on K/H which runs between instantons on the coset.
For K-equivariant connections, the torsionful Yang-Mills equation reduces to a
particular quartic dynamics for a Newtonian particle on C. When the torsion
corresponds to one of the G_2-structures, this dynamics follows from a gradient
or hamiltonian flow equation, respectively. We present the analytic (kink-type)
solutions and plot numerical non-BPS solutions for general torsion values
interpolating between the instantonic ones.
| [
{
"created": "Mon, 30 Jan 2012 22:04:58 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2012 20:48:51 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Lechtenfeld",
"Olaf",
""
]
] | The existence of K-instantons on a cylinder M^7 = R_tau x K/H over a homogeneous nearly K"ahler 6-manifold K/H requires a conformally parallel or a cocalibrated G_2-structure on M^7. The generalized anti-self-duality on M^7 implies a Chern-Simons flow on K/H which runs between instantons on the coset. For K-equivariant connections, the torsionful Yang-Mills equation reduces to a particular quartic dynamics for a Newtonian particle on C. When the torsion corresponds to one of the G_2-structures, this dynamics follows from a gradient or hamiltonian flow equation, respectively. We present the analytic (kink-type) solutions and plot numerical non-BPS solutions for general torsion values interpolating between the instantonic ones. |
1105.2035 | David A. Lowe | David A. Lowe, Ilies Messamah and Antun Skanata | Scaling dimensions in hidden Kerr/CFT | 13 pages | Phys.Rev.D84:024030,2011 | 10.1103/PhysRevD.84.024030 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been proposed that a hidden conformal field theory (CFT) governs the
dynamics of low frequency scattering in a general Kerr black hole background.
We further investigate this correspondence by mapping higher order corrections
to the massless wave equations in a Kerr background to an expansion within the
CFT in terms of higher dimension operators. This implies the presence of
infinite towers of CFT primary operators with positive conformal dimensions
compatible with unitarity. The exact Kerr background softly breaks the
conformal symmetry and the scaling dimensions of these operators run with
frequency. The scale-invariant fixed point is dual to a degenerate case of flat
spacetime.
| [
{
"created": "Tue, 10 May 2011 19:55:27 GMT",
"version": "v1"
}
] | 2011-08-08 | [
[
"Lowe",
"David A.",
""
],
[
"Messamah",
"Ilies",
""
],
[
"Skanata",
"Antun",
""
]
] | It has been proposed that a hidden conformal field theory (CFT) governs the dynamics of low frequency scattering in a general Kerr black hole background. We further investigate this correspondence by mapping higher order corrections to the massless wave equations in a Kerr background to an expansion within the CFT in terms of higher dimension operators. This implies the presence of infinite towers of CFT primary operators with positive conformal dimensions compatible with unitarity. The exact Kerr background softly breaks the conformal symmetry and the scaling dimensions of these operators run with frequency. The scale-invariant fixed point is dual to a degenerate case of flat spacetime. |
0804.1211 | Manvelyan Ruben | Ruben Manvelyan, Karapet Mkrtchyan, and Werner Ruehl | Ultraviolet behaviour of higher spin gauge field propagators and one
loop mass renormalization | 26 pages, latex | Nucl.Phys.B803:405-427,2008 | 10.1016/j.nuclphysb.2008.06.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ultraviolet singular structure of the bulk-to-bulk propagators for higher
spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible
interactions with the Higgs scalar and the corresponding one loop mass
renormalization are studied. This mass renormalization is finite and connected
with the anomalous dimensions of those currents in the corresponding boundary
$CFT_{3}$ that cease to be conserved when the interaction is switched on. In
particular it is proportional to $\ell-2$.
| [
{
"created": "Tue, 8 Apr 2008 08:50:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Manvelyan",
"Ruben",
""
],
[
"Mkrtchyan",
"Karapet",
""
],
[
"Ruehl",
"Werner",
""
]
] | The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary $CFT_{3}$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell-2$. |
hep-th/0407272 | Kenichi Konishi | K. Konishi | Quantum Nonabelian Monopoles | Latex 13 pages, 2 figures, Talk at "Continuous Advances in QCD 2004",
Univ. Minnesota, May 2004 | null | 10.1142/9789812702326_0035 | null | hep-th | null | We discuss quantum mechanical and topological aspects of nonabelian
monopoles. Related recent results on nonabelian vortices are also mentioned.
| [
{
"created": "Fri, 30 Jul 2004 13:56:28 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Konishi",
"K.",
""
]
] | We discuss quantum mechanical and topological aspects of nonabelian monopoles. Related recent results on nonabelian vortices are also mentioned. |
2109.10342 | Karl-Henning Rehren | Jens Mund, Karl-Henning Rehren, Bert Schroer | Infraparticle quantum fields and the formation of photon clouds | v1: 58 pages, 2 figures. v2: presentation improved and extended
(notably Sect. 4), references added | JHEP 04 (2022) 083 | 10.1007/JHEP04(2022)083 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A non-perturbative and exactly solvable quantum field theoretical model for a
"dressed Dirac field" is presented, that exhibits all the kinematical features
of QED: an appropriate delocalization of the charged field as a prerequisite
for the global Gauss Law, superselected photon clouds (asymptotic expectation
values of the Maxwell field), infraparticle nature of charged particles that
cannot be separated from their photon clouds, broken Lorentz symmetry. The
model serves as an intermediate leg on a new roadmap towards full QED,
formulated as an off-shell theory, i.e., including a perturbative construction
of its interacting charged fields. It also fills a gap in recent discussions of
the "Infrared Triangle", and points the way towards a new scattering theory for
theories with massless particles of helicity $\geq 1$, in which infraparticles
can be described at the level of charged fields, rather than just states.
| [
{
"created": "Tue, 21 Sep 2021 17:54:50 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2021 13:07:41 GMT",
"version": "v2"
}
] | 2022-04-19 | [
[
"Mund",
"Jens",
""
],
[
"Rehren",
"Karl-Henning",
""
],
[
"Schroer",
"Bert",
""
]
] | A non-perturbative and exactly solvable quantum field theoretical model for a "dressed Dirac field" is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for the global Gauss Law, superselected photon clouds (asymptotic expectation values of the Maxwell field), infraparticle nature of charged particles that cannot be separated from their photon clouds, broken Lorentz symmetry. The model serves as an intermediate leg on a new roadmap towards full QED, formulated as an off-shell theory, i.e., including a perturbative construction of its interacting charged fields. It also fills a gap in recent discussions of the "Infrared Triangle", and points the way towards a new scattering theory for theories with massless particles of helicity $\geq 1$, in which infraparticles can be described at the level of charged fields, rather than just states. |
2212.01135 | Emanuel Malek | Bastien Duboeuf, Emanuel Malek, Henning Samtleben | Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed
$S^7$ | 27 pages. v2: minor changes and added fermionic spectra of ${\cal
N}=0$ squashed $S^7$. v3: typos corrected | null | 10.1007/JHEP04(2023)062 | HU-EP-22/38 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We show how to use Exceptional Field Theory to compute the full Kaluza-Klein
spectra of 10- and 11-dimensional supergravity around deformations of
backgrounds of maximal gauged supergravity by scalar modes that do not form
part of the consistent truncation. This includes deformations of AdS$_4 \times
S^7$ and AdS$_5 \times S^5$ by modes that are not part of the ${\cal N}=8$
supermultiplet. As an application, we compute the full Kaluza-Klein spectrum of
the ${\cal N}=1$ and ${\cal N}=0$ squashed $S^7$. In this example, all
conformal dimensions are captured by a universal formula in terms of the
Casimir operators and additional quantum numbers which organise the spectrum.
| [
{
"created": "Fri, 2 Dec 2022 12:29:00 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2022 18:33:26 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Feb 2023 14:13:40 GMT",
"version": "v3"
}
] | 2023-05-03 | [
[
"Duboeuf",
"Bastien",
""
],
[
"Malek",
"Emanuel",
""
],
[
"Samtleben",
"Henning",
""
]
] | We show how to use Exceptional Field Theory to compute the full Kaluza-Klein spectra of 10- and 11-dimensional supergravity around deformations of backgrounds of maximal gauged supergravity by scalar modes that do not form part of the consistent truncation. This includes deformations of AdS$_4 \times S^7$ and AdS$_5 \times S^5$ by modes that are not part of the ${\cal N}=8$ supermultiplet. As an application, we compute the full Kaluza-Klein spectrum of the ${\cal N}=1$ and ${\cal N}=0$ squashed $S^7$. In this example, all conformal dimensions are captured by a universal formula in terms of the Casimir operators and additional quantum numbers which organise the spectrum. |
2212.08668 | Ibrahima Bah | Ibrahima Bah, Yiming Chen, and Juan Maldacena | Estimating global charge violating amplitudes from wormholes | 15 pages + appendices, additional citations in v2 | null | 10.1007/JHEP04(2023)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the scattering of high energy and ultra relativistic spherically
symmetric shells in asymptotically AdS$_D$ spacetimes. We analyze an exclusive
amplitude where a single spherically symmetric shell goes in and a single one
comes out, such that the two have different global symmetry charges of the
effective gravity theory. We study a simple wormhole configuration that
computes the square of the amplitude and analyze its properties.
| [
{
"created": "Fri, 16 Dec 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Feb 2023 18:34:08 GMT",
"version": "v2"
}
] | 2023-05-03 | [
[
"Bah",
"Ibrahima",
""
],
[
"Chen",
"Yiming",
""
],
[
"Maldacena",
"Juan",
""
]
] | We consider the scattering of high energy and ultra relativistic spherically symmetric shells in asymptotically AdS$_D$ spacetimes. We analyze an exclusive amplitude where a single spherically symmetric shell goes in and a single one comes out, such that the two have different global symmetry charges of the effective gravity theory. We study a simple wormhole configuration that computes the square of the amplitude and analyze its properties. |
1306.0639 | Yi-Xin Chen | Fei-Quan Tu, Yi-Xin Chen | Emergence of space and cosmic evolution based on entropic force | 10 pages, 2 figures | Gen Relativ Gravit (2015) 47:87 | 10.1007/s10714-015-1927-z | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we propose a model in which an additional pressure due to the
effects of the entropic force is added to the ideal fluid. Furthermore, we
obtain the dynamic equation in the FRW universe which contains the quantum
gravitational effects based on the description of entropic force and emergence
of space. Our model can well explain the age of the universe and the effect of
the current accelerating expansion. We give the relation between the luminosity
distance and the redshift factor, and compare this relation with that of lambda
cold dark matter model($\Lambda CDM$ model).
| [
{
"created": "Tue, 4 Jun 2013 02:34:11 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2016 07:01:52 GMT",
"version": "v2"
}
] | 2016-03-08 | [
[
"Tu",
"Fei-Quan",
""
],
[
"Chen",
"Yi-Xin",
""
]
] | In this paper, we propose a model in which an additional pressure due to the effects of the entropic force is added to the ideal fluid. Furthermore, we obtain the dynamic equation in the FRW universe which contains the quantum gravitational effects based on the description of entropic force and emergence of space. Our model can well explain the age of the universe and the effect of the current accelerating expansion. We give the relation between the luminosity distance and the redshift factor, and compare this relation with that of lambda cold dark matter model($\Lambda CDM$ model). |
1407.4943 | Erik Panzer | Erik Panzer | Renormalization, Hopf algebras and Mellin transforms | 33 pages, to appear in proceedings "Periods and Motives, A Modern
Perspective on Renormalization", July 2-6, 2012, Madrid | "Feynman Amplitudes, Periods and Motives", Contemporary
Mathematics 648, 2015, American Mathematical Society, pages 169-202 | 10.1090/conm/648/13003 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article aims to give a short introduction into Hopf-algebraic aspects of
renormalization, enjoying growing attention for more than a decade by now. As
most available literature is concerned with the minimal subtraction scheme, we
like to point out properties of the kinematic subtraction scheme which is also
widely used in physics (under the names of MOM or BPHZ).
In particular we relate renormalized Feynman rules $\phi_R$ in this scheme to
the universal property of the Hopf algebra $H_R$ of rooted trees, exhibiting a
refined renormalization group equation which is equivalent to $\phi_R: H_R
\rightarrow K[x]$ being a morphism of Hopf algebras to the polynomials in one
indeterminate.
Upon introduction of analytic regularization this results in efficient
combinatorial recursions to calculate $\phi_R$ in terms of the Mellin
transform. We find that different Feynman rules are related by a distinguished
class of Hopf algebra automorphisms of $H_R$ that arise naturally from
Hochschild cohomology.
Also we recall the known results for the minimal subtraction scheme and shed
light on the interrelationship of both schemes.
Finally we incorporate combinatorial Dyson-Schwinger equations to study the
effects of renormalization on the physical meaningful correlation functions.
This yields a precise formulation of the equivalence of the two different
renormalization prescriptions mentioned before and allows for non-perturbative
definitions of quantum field theories in special cases.
| [
{
"created": "Fri, 18 Jul 2014 10:34:15 GMT",
"version": "v1"
}
] | 2015-10-21 | [
[
"Panzer",
"Erik",
""
]
] | This article aims to give a short introduction into Hopf-algebraic aspects of renormalization, enjoying growing attention for more than a decade by now. As most available literature is concerned with the minimal subtraction scheme, we like to point out properties of the kinematic subtraction scheme which is also widely used in physics (under the names of MOM or BPHZ). In particular we relate renormalized Feynman rules $\phi_R$ in this scheme to the universal property of the Hopf algebra $H_R$ of rooted trees, exhibiting a refined renormalization group equation which is equivalent to $\phi_R: H_R \rightarrow K[x]$ being a morphism of Hopf algebras to the polynomials in one indeterminate. Upon introduction of analytic regularization this results in efficient combinatorial recursions to calculate $\phi_R$ in terms of the Mellin transform. We find that different Feynman rules are related by a distinguished class of Hopf algebra automorphisms of $H_R$ that arise naturally from Hochschild cohomology. Also we recall the known results for the minimal subtraction scheme and shed light on the interrelationship of both schemes. Finally we incorporate combinatorial Dyson-Schwinger equations to study the effects of renormalization on the physical meaningful correlation functions. This yields a precise formulation of the equivalence of the two different renormalization prescriptions mentioned before and allows for non-perturbative definitions of quantum field theories in special cases. |
0801.0944 | Choon-Lin Ho | Choon-Lin Ho | Prepotential approach to exact and quasi-exact solvabilities of
Hermitian and non-Hermitian Hamiltonians | 12 pages, no figures. Based on talk presented at "Conference in Honor
of CN Yang's 85th Birthday", 31 oct - 3 Nov 2007, Singapore | null | null | null | hep-th math-ph math.MP math.SP quant-ph | null | In this talk I present a simple and unified approach to both exact and
quasi-exact solvabilities of the one-dimensional Schr\"odinger equation. It is
based on the prepotential together with Bethe ansatz equations. This approach
gives the potential as well as the eigenfunctions and eigenvalues
simultaneously. In this approach the system is completely defined by the choice
of the change of variables, and the so-called zero-th order prepotential. We
illustrate the approach by several examples of Hermitian and non-Hermitian
Hamiltonians with real energies. The method can be easily extended to the
constructions of exactly and quasi-exactly solvable Dirac, Pauli, and
Fokker-Planck equations, and to quasinormal modes.
| [
{
"created": "Mon, 7 Jan 2008 11:14:02 GMT",
"version": "v1"
}
] | 2019-12-06 | [
[
"Ho",
"Choon-Lin",
""
]
] | In this talk I present a simple and unified approach to both exact and quasi-exact solvabilities of the one-dimensional Schr\"odinger equation. It is based on the prepotential together with Bethe ansatz equations. This approach gives the potential as well as the eigenfunctions and eigenvalues simultaneously. In this approach the system is completely defined by the choice of the change of variables, and the so-called zero-th order prepotential. We illustrate the approach by several examples of Hermitian and non-Hermitian Hamiltonians with real energies. The method can be easily extended to the constructions of exactly and quasi-exactly solvable Dirac, Pauli, and Fokker-Planck equations, and to quasinormal modes. |
hep-th/9602125 | Jorge Russo | D. Amati and J.G. Russo | Black holes by analytic continuation | 18 pages, harvmac, 3 figures, minor changes | Phys.Rev. D56 (1997) 974-982 | 10.1103/PhysRevD.56.974 | CERN-TH/96-34 | hep-th gr-qc | null | In the context of a two-dimensional exactly solvable model, the dynamics of
quantum black holes is obtained by analytically continuing the description of
the regime where no black hole is formed. The resulting spectrum of outgoing
radiation departs from the one predicted by the Hawking model in the region
where the outgoing modes arise from the horizon with Planck-order frequencies.
This occurs early in the evaporation process, and the resulting physical
picture is unconventional. The theory predicts that black holes will only
radiate out an energy of Planck mass order, stabilizing after a transitory
period. The continuation from a regime without black hole formation
--accessible in the 1+1 gravity theory considered-- is implicit in an S-matrix
approach and suggests in this way a possible solution to the problem of
information loss.
| [
{
"created": "Thu, 22 Feb 1996 16:49:48 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 1996 15:49:15 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Amati",
"D.",
""
],
[
"Russo",
"J. G.",
""
]
] | In the context of a two-dimensional exactly solvable model, the dynamics of quantum black holes is obtained by analytically continuing the description of the regime where no black hole is formed. The resulting spectrum of outgoing radiation departs from the one predicted by the Hawking model in the region where the outgoing modes arise from the horizon with Planck-order frequencies. This occurs early in the evaporation process, and the resulting physical picture is unconventional. The theory predicts that black holes will only radiate out an energy of Planck mass order, stabilizing after a transitory period. The continuation from a regime without black hole formation --accessible in the 1+1 gravity theory considered-- is implicit in an S-matrix approach and suggests in this way a possible solution to the problem of information loss. |
hep-th/0211289 | Jorge Russo | G. Papadopoulos, J.G. Russo and A.A. Tseytlin | Solvable model of strings in a time-dependent plane-wave background | 58 pages, latex. v2: several references to related previous work
added | Class.Quant.Grav.20:969-1016,2003 | 10.1088/0264-9381/20/5/313 | null | hep-th | null | We investigate a string model defined by a special plane-wave metric ds^2 =
2dudv - l(u) x^2 du^2 + dx^2 with l(u) = k/u^2 and k=const > 0. This metric is
a Penrose limit of some cosmological, Dp-brane and fundamental string
backgrounds. Remarkably, in Rosen coordinates the metric has a ``null
cosmology'' interpretation with flat spatial sections and scale factor which is
a power of the light-cone time u. We show that: (i) This spacetime is a
Lorentzian homogeneous space. In particular, like Minkowski space, it admits a
boost isometry in u,v. (ii) It is an exact solution of string theory when
supplemented by a u-dependent dilaton such that its exponent (i.e. effective
string coupling) goes to zero at u=infinity and at the singularity u=0,
reducing back-reaction effects. (iii) The classical string equations in this
background become linear in the light-cone gauge and can be solved explicitly
in terms of Bessel's functions; thus the string model can be directly
quantized. This allows one to address the issue of singularity at the
string-theory level. We examine the propagation of first-quantized
point-particle and string modes in this time-dependent background. Using
certain analytic continuation prescription we argue that string propagation
through the singularity can be smooth.
| [
{
"created": "Fri, 29 Nov 2002 17:35:06 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Dec 2002 17:04:28 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Papadopoulos",
"G.",
""
],
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We investigate a string model defined by a special plane-wave metric ds^2 = 2dudv - l(u) x^2 du^2 + dx^2 with l(u) = k/u^2 and k=const > 0. This metric is a Penrose limit of some cosmological, Dp-brane and fundamental string backgrounds. Remarkably, in Rosen coordinates the metric has a ``null cosmology'' interpretation with flat spatial sections and scale factor which is a power of the light-cone time u. We show that: (i) This spacetime is a Lorentzian homogeneous space. In particular, like Minkowski space, it admits a boost isometry in u,v. (ii) It is an exact solution of string theory when supplemented by a u-dependent dilaton such that its exponent (i.e. effective string coupling) goes to zero at u=infinity and at the singularity u=0, reducing back-reaction effects. (iii) The classical string equations in this background become linear in the light-cone gauge and can be solved explicitly in terms of Bessel's functions; thus the string model can be directly quantized. This allows one to address the issue of singularity at the string-theory level. We examine the propagation of first-quantized point-particle and string modes in this time-dependent background. Using certain analytic continuation prescription we argue that string propagation through the singularity can be smooth. |
1510.06041 | Yuri Chervonyi | Yuri Chervonyi | Towards higher dimensional black rings | 11 pages. V2: references added, several typos are fixed. V3:
reference added. V4: typo is fixed, several comments added | Phys. Rev. D 92, 124037 (2015) | 10.1103/PhysRevD.92.124037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Despite all attempts, exact solutions for black rings in more than five
dimensions remain elusive. In this paper we clarify some of the reasons for
that, in particular we show that a peculiar symmetry of the five--dimensional
black ring - separability of the base - cannot occur in dimensions higher than
five. We also construct supersymmetric solutions that have symmetries of 5D
supersymmetric black ring and show that they do not have regular horizons.
| [
{
"created": "Tue, 20 Oct 2015 20:10:36 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 21:20:29 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Nov 2015 05:56:15 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Dec 2015 21:26:12 GMT",
"version": "v4"
}
] | 2015-12-30 | [
[
"Chervonyi",
"Yuri",
""
]
] | Despite all attempts, exact solutions for black rings in more than five dimensions remain elusive. In this paper we clarify some of the reasons for that, in particular we show that a peculiar symmetry of the five--dimensional black ring - separability of the base - cannot occur in dimensions higher than five. We also construct supersymmetric solutions that have symmetries of 5D supersymmetric black ring and show that they do not have regular horizons. |
2208.04348 | Sean Hartnoll | Sean A. Hartnoll | Wheeler-DeWitt states of the AdS-Schwarzschild interior | 31 pages. 1 figure. v2 minor improvements. v3 minor improvements | null | 10.1007/JHEP01(2023)066 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild
interior in a minisuperspace approximation involving the volume and spatial
anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked
on the classical interior solution. Simple observables are computed using this
wavepacket, demonstrating the freedom to a choose a relational notion of
`clock' in the interior and characterizing the approach to the spacelike
singularity. The Wheeler-DeWitt equation may be extended out through the
horizon, where it describes the holographic renormalization group flow of the
black hole exterior. This amounts to the Hamilton-Jacobi evolution of the
metric component $g_{tt}$ from positive interior values to negative exterior
values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan
partition function of the boundary conformal field theory over a microcanonical
energy window.
| [
{
"created": "Mon, 8 Aug 2022 18:13:02 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 2022 16:57:40 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Dec 2022 13:41:45 GMT",
"version": "v3"
}
] | 2023-02-01 | [
[
"Hartnoll",
"Sean A.",
""
]
] | We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of `clock' in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component $g_{tt}$ from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window. |
hep-th/0011111 | Zurab Kakushadze | Alberto Iglesias and Zurab Kakushadze | Solitonic Brane World with Completely Localized (Super)Gravity | 28 pages, revtex; a reference and clarifying remarks added | Int.J.Mod.Phys. A16 (2001) 3603-3631 | 10.1142/S0217751X0100489X | YITP-00-59 | hep-th gr-qc hep-ph | null | We construct a solitonic 3-brane solution in the 5-dimensional
Einstein-Hilbert-Gauss-Bonnet theory. This solitonic brane is delta-function
like, and has the property that gravity is completely localized on the brane.
That is, there are no propagating degrees of freedom in the bulk, while on the
brane we have purely 4-dimensional Einstein gravity. Thus, albeit the classical
background is 5-dimensional, the quantum theory (perturbatively) is
4-dimensional. Our solution can be embedded in the supergravity context, where
we have completely localized supergravity on the corresponding solitonic brane,
which is a BPS object preserving 1/2 of the original supersymmetries. By
including a scalar field, we also construct a smooth domain wall solution,
which in a certain limit reduces to the delta-function-like solitonic brane
solution (this is possible for the latter breaks diffeomorphisms only
spontaneously). We then show that in the smooth domain wall background the only
normalizable mode is the 4-dimensional graviton zero mode, while all the other
(including massive Kaluza-Klein) modes are not even plane-wave normalizable.
Finally, we observe that in compactifications of Type IIB on 5-dimensional
Einstein manifolds other than a 5-sphere the corresponding dual gauge theories
on D3-branes are not conformal in the ultra-violet, and at the quantum level we
expect the Einstein-Hilbert term to be generated in their world-volumes. We
conjecture that in full string theory on Type IIB side this is due to higher
curvature terms, which cannot be ignored in such backgrounds. A stronger
version of this conjecture also states that (at least in some cases) in such
backgrounds D3-branes are solitonic objects with completely localized
(super)gravity in their world-volumes.
| [
{
"created": "Mon, 13 Nov 2000 21:25:29 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Nov 2000 23:05:16 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Dec 2000 23:50:44 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Iglesias",
"Alberto",
""
],
[
"Kakushadze",
"Zurab",
""
]
] | We construct a solitonic 3-brane solution in the 5-dimensional Einstein-Hilbert-Gauss-Bonnet theory. This solitonic brane is delta-function like, and has the property that gravity is completely localized on the brane. That is, there are no propagating degrees of freedom in the bulk, while on the brane we have purely 4-dimensional Einstein gravity. Thus, albeit the classical background is 5-dimensional, the quantum theory (perturbatively) is 4-dimensional. Our solution can be embedded in the supergravity context, where we have completely localized supergravity on the corresponding solitonic brane, which is a BPS object preserving 1/2 of the original supersymmetries. By including a scalar field, we also construct a smooth domain wall solution, which in a certain limit reduces to the delta-function-like solitonic brane solution (this is possible for the latter breaks diffeomorphisms only spontaneously). We then show that in the smooth domain wall background the only normalizable mode is the 4-dimensional graviton zero mode, while all the other (including massive Kaluza-Klein) modes are not even plane-wave normalizable. Finally, we observe that in compactifications of Type IIB on 5-dimensional Einstein manifolds other than a 5-sphere the corresponding dual gauge theories on D3-branes are not conformal in the ultra-violet, and at the quantum level we expect the Einstein-Hilbert term to be generated in their world-volumes. We conjecture that in full string theory on Type IIB side this is due to higher curvature terms, which cannot be ignored in such backgrounds. A stronger version of this conjecture also states that (at least in some cases) in such backgrounds D3-branes are solitonic objects with completely localized (super)gravity in their world-volumes. |
hep-th/9807014 | Thomas Mohaupt | Ingo Gaida, Swapna Mahapatra, Thomas Mohaupt and Wafic A. Sabra | Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds | 19 pp, LaTeX | Class.Quant.Grav. 16 (1999) 419-433 | 10.1088/0264-9381/16/2/008 | DAMTP-98-76, IC/98/66, QMW-PH-98-29 | hep-th | null | We present fivedimensional extreme black hole solutions of M-theory
compactified on Calabi-Yau threefolds and study these solutions in the context
of flop transitions in the extended Kahler cone. In particular we consider a
specific model and present black hole solutions, breaking half of N=2
supersymmetry, in two regions of the extended Kahler cone, which are connected
by a flop transition. The conditions necessary to match both solutions at the
flop transition are analysed. Finally we also discuss the conditions to obtain
massless black holes at the flop transition.
| [
{
"created": "Thu, 2 Jul 1998 10:12:01 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gaida",
"Ingo",
""
],
[
"Mahapatra",
"Swapna",
""
],
[
"Mohaupt",
"Thomas",
""
],
[
"Sabra",
"Wafic A.",
""
]
] | We present fivedimensional extreme black hole solutions of M-theory compactified on Calabi-Yau threefolds and study these solutions in the context of flop transitions in the extended Kahler cone. In particular we consider a specific model and present black hole solutions, breaking half of N=2 supersymmetry, in two regions of the extended Kahler cone, which are connected by a flop transition. The conditions necessary to match both solutions at the flop transition are analysed. Finally we also discuss the conditions to obtain massless black holes at the flop transition. |
hep-th/9508093 | Martin Legare | M. Legare (U.of Alberta) | Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean
Self-Dual Yang-Mills Equations | 27 pages, LaTeX209 file | J.Nonlin.Math.Phys. 3 (1996) 266-285 | 10.2991/jnmp.1996.3.3-4.3 | null | hep-th nlin.SI solv-int | null | The reduction by symmetry of the linear system of the self-dual Yang-Mills
equations in four-dimensions under representatives of the conjugacy classes of
subgroups of the connected part to the identity of the corresponding Euclidean
group under itself is carried out. Only subgroups leading to systems of
differential equations nonequivalent to conditions of zero curvature without
parameter, or to systems of uncoupled first order linear O.D.E.'s are
considered. Lax pairs for a modified form of the Nahm's equations as well as
for systems of partial differential equations in two and three dimensions are
written out.
| [
{
"created": "Fri, 18 Aug 1995 23:29:37 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Legare",
"M.",
"",
"U.of Alberta"
]
] | The reduction by symmetry of the linear system of the self-dual Yang-Mills equations in four-dimensions under representatives of the conjugacy classes of subgroups of the connected part to the identity of the corresponding Euclidean group under itself is carried out. Only subgroups leading to systems of differential equations nonequivalent to conditions of zero curvature without parameter, or to systems of uncoupled first order linear O.D.E.'s are considered. Lax pairs for a modified form of the Nahm's equations as well as for systems of partial differential equations in two and three dimensions are written out. |
1411.3927 | Gianni Tallarita | Mikhail Shifman, Gianni Tallarita, Alexei Yung | Confining Strings in Supersymmetric Theories with Higgs Branches | 16 pages, 5 figures, version accepted in Physical Review D | Phys. Rev. D 91, 065005 (2015) | 10.1103/PhysRevD.91.065005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study flux tubes (strings) on the Higgs branches in supersymmetric gauge
theories. In generic vacua on the Higgs branches strings were shown to develop
long-range "tails" associated with massless fields, a characteristic feature of
the Higgs branch (the only exception is the vacuum at the base of the Higgs
branch). A natural infrared regularization for the above tails is provided by a
finite string length L. We perform a numerical study of these strings in
generic vacua. We focus on the simplest example of strings in N=1
supersymmetric QED with the Fayet-Iliopoulos term. In particular, we examine
the accuracy of a logarithmic approximation (proposed earlier by Evlampiev and
Yung) for the tension of such string solutions. In the Evlampiev-Yung formula
the dependence of tension on the string length is logarithmic and the
dependence on the geodesic length from the base of the Higgs branch is
quadratic. We observe a remarkable agreement of our numerical results for the
string tension with the Evlampiev-Yung analytic expression.
| [
{
"created": "Fri, 14 Nov 2014 15:02:41 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2015 22:26:14 GMT",
"version": "v2"
}
] | 2015-03-11 | [
[
"Shifman",
"Mikhail",
""
],
[
"Tallarita",
"Gianni",
""
],
[
"Yung",
"Alexei",
""
]
] | We study flux tubes (strings) on the Higgs branches in supersymmetric gauge theories. In generic vacua on the Higgs branches strings were shown to develop long-range "tails" associated with massless fields, a characteristic feature of the Higgs branch (the only exception is the vacuum at the base of the Higgs branch). A natural infrared regularization for the above tails is provided by a finite string length L. We perform a numerical study of these strings in generic vacua. We focus on the simplest example of strings in N=1 supersymmetric QED with the Fayet-Iliopoulos term. In particular, we examine the accuracy of a logarithmic approximation (proposed earlier by Evlampiev and Yung) for the tension of such string solutions. In the Evlampiev-Yung formula the dependence of tension on the string length is logarithmic and the dependence on the geodesic length from the base of the Higgs branch is quadratic. We observe a remarkable agreement of our numerical results for the string tension with the Evlampiev-Yung analytic expression. |
2112.07195 | Gu Xia | Xia Gu, Babak Haghighat, Yihua Liu | Ising-like and Fibonacci-Anyons from KZ-equations | 39 pages, 3 figures | Gu, X., Haghighat, B. & Liu, Y. Ising-like and Fibonacci anyons
from KZ-equations. J. High Energ. Phys. 2022, 15 (2022) | 10.1007/JHEP09(2022)015 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we present solutions to Knizhnik-Zamolodchikov (KZ) equations
corresponding to conformal block wavefunctions of non-Abelian Ising- and
Fibonacci-Anyons. We solve these equations around regular singular points in
configuration space in terms of hypergeometric functions and derive explicit
monodromy representations of the braid group action. This confirms the correct
non-Abelian statistics of the solutions. One novelty of our approach is that we
explicitly keep track of spin basis states and identify conformal blocks
uniquely with such states at relevant points in moduli space.
| [
{
"created": "Tue, 14 Dec 2021 07:01:37 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Sep 2022 11:06:56 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Gu",
"Xia",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Liu",
"Yihua",
""
]
] | In this work we present solutions to Knizhnik-Zamolodchikov (KZ) equations corresponding to conformal block wavefunctions of non-Abelian Ising- and Fibonacci-Anyons. We solve these equations around regular singular points in configuration space in terms of hypergeometric functions and derive explicit monodromy representations of the braid group action. This confirms the correct non-Abelian statistics of the solutions. One novelty of our approach is that we explicitly keep track of spin basis states and identify conformal blocks uniquely with such states at relevant points in moduli space. |
hep-th/9307066 | null | G. Papadopoulos and P.K. Townsend | Massive sigma models with (p,q) supersymmetry | 18pp | Class.Quant.Grav.11:515-532,1994 | 10.1088/0264-9381/11/3/007 | null | hep-th | null | We determine the general scalar potential consistent with (p,q) supersymmetry
in two-dimensional non-linear sigma models with torsion, generalizing previous
results for special cases. We thereby find many new supersymmetric sigma models
with potentials, including new (2,2) and (4,4) models.
| [
{
"created": "Fri, 9 Jul 1993 18:56:07 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Papadopoulos",
"G.",
""
],
[
"Townsend",
"P. K.",
""
]
] | We determine the general scalar potential consistent with (p,q) supersymmetry in two-dimensional non-linear sigma models with torsion, generalizing previous results for special cases. We thereby find many new supersymmetric sigma models with potentials, including new (2,2) and (4,4) models. |
hep-th/9409074 | Kiyoshi Ezawa | Kiyoshi Ezawa | Chern-Simons Quantization of (2+1)-Anti-De Sitter Gravity on a Torus | latex 28 pages | Class.Quant.Grav.12:373-392,1995 | 10.1088/0264-9381/12/2/007 | null | hep-th | null | Chern-Simons formulation of 2+1 dimensional Einstein gravity with a negative
cosmological constant is investigated when the spacetime has the topology $
R\times T^{2}$. The physical phase space is shown to be a direct product of two
sub-phase spaces each of which is a non-Hausdorff manifold plus a set with
nonzero codimensions. Spacetime geometrical interpretation of each point in the
phase space is also given and we explain the 1 to 2 correspondence with the ADM
formalism from the geometrical viewpoint. In quantizing this theory, we
construct a "modified phase space" which is a cotangnt bundle on a torus. We
also provide a modular invariant inner product and investigate the relation to
the quantum theory which is directly related to the spinor representation of
the ADM formalism. (This paper is the revised version of a previous
paper(hep-th/9312151). The wrong discussion on the topology of the phase space
is corrected.)
| [
{
"created": "Wed, 14 Sep 1994 06:56:45 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Ezawa",
"Kiyoshi",
""
]
] | Chern-Simons formulation of 2+1 dimensional Einstein gravity with a negative cosmological constant is investigated when the spacetime has the topology $ R\times T^{2}$. The physical phase space is shown to be a direct product of two sub-phase spaces each of which is a non-Hausdorff manifold plus a set with nonzero codimensions. Spacetime geometrical interpretation of each point in the phase space is also given and we explain the 1 to 2 correspondence with the ADM formalism from the geometrical viewpoint. In quantizing this theory, we construct a "modified phase space" which is a cotangnt bundle on a torus. We also provide a modular invariant inner product and investigate the relation to the quantum theory which is directly related to the spinor representation of the ADM formalism. (This paper is the revised version of a previous paper(hep-th/9312151). The wrong discussion on the topology of the phase space is corrected.) |
hep-th/9302074 | null | E. Elizalde and S.D. Odintsov | Renormalization-group improved effective potential for gauge theories in
curved spacetime | Latex file,11pages | Phys.Lett.B303:240-248,1993; Russ.Phys.J.37:25-29,1994 | 10.1016/0370-2693(93)91427-O | null | hep-th | null | The renormalization-group improved effective potential for an arbitrary
renormalizable massless gauge theory in curved spacetime is found,thus
generalizing Coleman-Weinberg's approach corresponding to flat space.Some
explicit examples are considered,among of them:scalar self-interacting
theory,scalar electrody namics,the asymptotically-free SU(2) gauge model,and
the SU(5) GUT theory. The possibility of curvature-induced phase transitions is
analyzed.It is shown that such a phase transition may take place in a SU(5)
inflationary universe.The inclusion of quantum gravity effects isbriefly
discussed.
| [
{
"created": "Wed, 17 Feb 1993 13:36:51 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] | The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are considered,among of them:scalar self-interacting theory,scalar electrody namics,the asymptotically-free SU(2) gauge model,and the SU(5) GUT theory. The possibility of curvature-induced phase transitions is analyzed.It is shown that such a phase transition may take place in a SU(5) inflationary universe.The inclusion of quantum gravity effects isbriefly discussed. |
1310.5753 | Zeng Huabi | Hua Bi Zeng | Possible Anderson localization in a holographic superconductor | 4 pages, 5 figures | Phys. Rev. D 88, 126004 (2013) | 10.1103/PhysRevD.88.126004 | null | hep-th cond-mat.dis-nn cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of disorder in a holographic superconductor by
introducing a quasi-periodic chemical potential. When the condensation of the
superconductor is sufficiently small compared with the strength of disorder, we
find that there exists a discontinuous phase transition from superconducting
state to normal state with increasing disorder strength. For relatively large
condensation, we find that disorder suppress but not completely destroy
superconductivity. This model may provide a holographic realization of Anderson
Localization in two-dimensional superconductor.
| [
{
"created": "Mon, 21 Oct 2013 22:55:13 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2013 07:35:25 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Oct 2013 23:49:31 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Mar 2014 02:27:53 GMT",
"version": "v4"
}
] | 2014-03-05 | [
[
"Zeng",
"Hua Bi",
""
]
] | We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there exists a discontinuous phase transition from superconducting state to normal state with increasing disorder strength. For relatively large condensation, we find that disorder suppress but not completely destroy superconductivity. This model may provide a holographic realization of Anderson Localization in two-dimensional superconductor. |
hep-th/0402057 | Gennadi Sardanashvily | D.Bashkirov and G.Sardanashvily | Covariant Hamiltonian field theory. Path integral quantization | 18 pp | Int.J.Theor.Phys. 43 (2004) 1317-1333 | 10.1023/B:IJTP.0000048617.61374.4d | null | hep-th math-ph math.MP | null | The Hamiltonian counterpart of classical Lagrangian field theory is covariant
Hamiltonian field theory where momenta correspond to derivatives of fields with
respect to all world coordinates. In particular, classical Lagrangian and
covariant Hamiltonian field theories are equivalent in the case of a
hyperregular Lagrangian, and they are quasi-equivalent if a Lagrangian is
almost-regular. In order to quantize covariant Hamiltonian field theory, one
usually attempts to construct and quantize a multisymplectic generalization of
the Poisson bracket. In the present work, the path integral quantization of
covariant Hamiltonian field theory is suggested. We use the fact that a
covariant Hamiltonian field system is equivalent to a certain Lagrangian system
on a phase space which is quantized in the framework of perturbative field
theory. We show that, in the case of almost-regular quadratic Lagrangians, path
integral quantizations of associated Lagrangian and Hamiltonian field theories
are equivalent.
| [
{
"created": "Fri, 6 Feb 2004 19:09:07 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Feb 2004 05:37:25 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bashkirov",
"D.",
""
],
[
"Sardanashvily",
"G.",
""
]
] | The Hamiltonian counterpart of classical Lagrangian field theory is covariant Hamiltonian field theory where momenta correspond to derivatives of fields with respect to all world coordinates. In particular, classical Lagrangian and covariant Hamiltonian field theories are equivalent in the case of a hyperregular Lagrangian, and they are quasi-equivalent if a Lagrangian is almost-regular. In order to quantize covariant Hamiltonian field theory, one usually attempts to construct and quantize a multisymplectic generalization of the Poisson bracket. In the present work, the path integral quantization of covariant Hamiltonian field theory is suggested. We use the fact that a covariant Hamiltonian field system is equivalent to a certain Lagrangian system on a phase space which is quantized in the framework of perturbative field theory. We show that, in the case of almost-regular quadratic Lagrangians, path integral quantizations of associated Lagrangian and Hamiltonian field theories are equivalent. |
2011.07311 | S. Weinzierl | Stefan Weinzierl | Modular transformations of elliptic Feynman integrals | 29 pages, v2: version to be published | null | 10.1016/j.nuclphysb.2021.115309 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the behaviour of elliptic Feynman integrals under modular
transformations. This has a practical motivation: Through a suitable modular
transformation we can achieve that the nome squared is a small quantity,
leading to fast numerical evaluations. Contrary to the case of multiple
polylogarithms, where it is sufficient to consider just variable
transformations for the numerical evaluations of multiple polylogarithms, it is
more natural in the elliptic case to consider a combination of a variable
transformation (i.e. a modular transformation) together with a redefinition of
the master integrals. Thus we combine a coordinate transformation on the base
manifold with a basis transformation in the fibre. Only in the combination of
the two transformations we stay within the same class of functions.
| [
{
"created": "Sat, 14 Nov 2020 14:48:42 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 2021 12:28:06 GMT",
"version": "v2"
}
] | 2021-02-24 | [
[
"Weinzierl",
"Stefan",
""
]
] | We investigate the behaviour of elliptic Feynman integrals under modular transformations. This has a practical motivation: Through a suitable modular transformation we can achieve that the nome squared is a small quantity, leading to fast numerical evaluations. Contrary to the case of multiple polylogarithms, where it is sufficient to consider just variable transformations for the numerical evaluations of multiple polylogarithms, it is more natural in the elliptic case to consider a combination of a variable transformation (i.e. a modular transformation) together with a redefinition of the master integrals. Thus we combine a coordinate transformation on the base manifold with a basis transformation in the fibre. Only in the combination of the two transformations we stay within the same class of functions. |
hep-th/9805008 | Vladimir Bazhanov | V. V. Bazhanov, S. L. Lukyanov, A. B. Zamolodchikov | Integrable Structure of Conformal Field Theory III. The Yang-Baxter
Relation | 35 pages, harvmac TeX, minor changes, references added | Commun.Math.Phys.200:297-324,1999 | 10.1007/s002200050531 | RU-98-14 | hep-th | null | In this paper we fill some gaps in the arguments of our previous papers
[hep-th/9412229,hep-th/9604044]. In particular, we give a proof that the L
operators of Conformal Field Theory indeed satisfy the defining relations of
the Yang-Baxter algebra. Among other results we present a derivation of the
functional relations satisfied by ${\bf T}$ and ${\bf Q}$ operators and a proof
of the basic analyticity assumptions for these operators used in
[hep-th/9412229,hep-th/9604044].
| [
{
"created": "Sat, 2 May 1998 08:11:52 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 1998 05:49:40 GMT",
"version": "v2"
}
] | 2011-02-11 | [
[
"Bazhanov",
"V. V.",
""
],
[
"Lukyanov",
"S. L.",
""
],
[
"Zamolodchikov",
"A. B.",
""
]
] | In this paper we fill some gaps in the arguments of our previous papers [hep-th/9412229,hep-th/9604044]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining relations of the Yang-Baxter algebra. Among other results we present a derivation of the functional relations satisfied by ${\bf T}$ and ${\bf Q}$ operators and a proof of the basic analyticity assumptions for these operators used in [hep-th/9412229,hep-th/9604044]. |
hep-th/9811252 | Vyacheslav Soroka | V.A. Soroka | Linear Odd Poisson Bracket on Grassmann Variables | 7 pages, LATEX. Relation (34) is added and the rearrangement
necessary for publication in Physics Letters B is made | Phys.Lett. B451 (1999) 349-353 | 10.1016/S0370-2693(99)00228-2 | null | hep-th math-ph math.GR math.MP | null | A linear odd Poisson bracket (antibracket) realized solely in terms of
Grassmann variables is suggested. It is revealed that the bracket, which
corresponds to a semi-simple Lie group, has at once three Grassmann-odd
nilpotent $\Delta$-like differential operators of the first, the second and the
third orders with respect to Grassmann derivatives, in contrast with the
canonical odd Poisson bracket having the only Grassmann-odd nilpotent
differential $\Delta$-operator of the second order. It is shown that these
$\Delta$-like operators together with a Grassmann-odd nilpotent Casimir
function of this bracket form a finite-dimensional Lie superalgebra.
| [
{
"created": "Mon, 30 Nov 1998 18:01:28 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jan 1999 15:02:55 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Mar 1999 14:42:55 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Soroka",
"V. A.",
""
]
] | A linear odd Poisson bracket (antibracket) realized solely in terms of Grassmann variables is suggested. It is revealed that the bracket, which corresponds to a semi-simple Lie group, has at once three Grassmann-odd nilpotent $\Delta$-like differential operators of the first, the second and the third orders with respect to Grassmann derivatives, in contrast with the canonical odd Poisson bracket having the only Grassmann-odd nilpotent differential $\Delta$-operator of the second order. It is shown that these $\Delta$-like operators together with a Grassmann-odd nilpotent Casimir function of this bracket form a finite-dimensional Lie superalgebra. |
hep-th/0506032 | Emil Akhmedov | Emil T.Akhmedov | Towards the Theory of Non--Abelian Tensor Fields II | 19 pages, 9 figures | Theor.Math.Phys. 147 (2006) 509-523; Teor.Mat.Fiz. 147 (2006)
73-91 | null | ITEP-TH-39/05, RIKEN-TH-44 | hep-th math.AG math.QA | null | We go on with the definition of the theory of the non--Abelian two--tensor
fields and find the gauge transformation rules and curvature tensor for them.
To define the theory we use the surface {\it exponent} proposed in
hep--th/0503234. We derive the differential equation for the {\it exponent} and
make an attempt to give a matrix model formulation for it. We discuss
application of our constructions to the Yang--Baxter equation for integrable
models and to the String Field Theory.
| [
{
"created": "Fri, 3 Jun 2005 05:21:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Akhmedov",
"Emil T.",
""
]
] | We go on with the definition of the theory of the non--Abelian two--tensor fields and find the gauge transformation rules and curvature tensor for them. To define the theory we use the surface {\it exponent} proposed in hep--th/0503234. We derive the differential equation for the {\it exponent} and make an attempt to give a matrix model formulation for it. We discuss application of our constructions to the Yang--Baxter equation for integrable models and to the String Field Theory. |
hep-th/0402230 | Xavier Martin | Xavier Martin | A matrix phase for the phi^4 scalar field on the fuzzy sphere | 15 pages, 10 figures. Axes scales of most figures were corrected.
Final version | JHEP 0404 (2004) 077 | 10.1088/1126-6708/2004/04/077 | null | hep-th hep-lat | null | The critical properties of the real phi^4 scalar field theory are studied
numerically on the fuzzy sphere. The fuzzy sphere is a matrix (non commutative)
discretisation of the algebra of functions on the usual two dimensional sphere.
It is also one of the simplest examples of a non commutative space to study
field theory on. Aside from the usual disordered and uniform phases present in
the commutative scalar field theory, we find and discuss in detail a new phase
with spontaneously broken rotational invariance, called matrix phase because
the geometry of the fuzzy sphere, as expressed by the kinetic term, becomes
negligible there. This gives some further insight on the effect of UV-IR
mixing, the unusual behaviour which arises naturally when taking the
commutative limit of a non commutative field theory.
| [
{
"created": "Fri, 27 Feb 2004 15:45:23 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 2004 11:53:04 GMT",
"version": "v2"
},
{
"created": "Thu, 13 May 2004 08:24:39 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Martin",
"Xavier",
""
]
] | The critical properties of the real phi^4 scalar field theory are studied numerically on the fuzzy sphere. The fuzzy sphere is a matrix (non commutative) discretisation of the algebra of functions on the usual two dimensional sphere. It is also one of the simplest examples of a non commutative space to study field theory on. Aside from the usual disordered and uniform phases present in the commutative scalar field theory, we find and discuss in detail a new phase with spontaneously broken rotational invariance, called matrix phase because the geometry of the fuzzy sphere, as expressed by the kinetic term, becomes negligible there. This gives some further insight on the effect of UV-IR mixing, the unusual behaviour which arises naturally when taking the commutative limit of a non commutative field theory. |
hep-th/0407112 | Bobby Eka Gunara | F. P. Zen, B. E. Gunara, Arianto and H. Zainuddin | On Orbifold Compactification of N=2 Supergravity in Five Dimensions | improved version, typos corrected | JHEP 0508:018,2005 | 10.1088/1126-6708/2005/08/018 | null | hep-th | null | We study compactification of five dimensional ungauged N=2 supergravity
coupled to vector- and hypermultiplets on orbifold $S^1/Z_2$. In the model the
vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars
span a generalized self dual Einstein manifold constructed by Calderbank and
Pedersen. The bosonic and the fermionic sector of the low energy effective N=1
supergravity in four dimensions are derived.
| [
{
"created": "Wed, 14 Jul 2004 02:08:03 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2005 07:50:16 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Aug 2005 01:40:30 GMT",
"version": "v3"
}
] | 2010-11-19 | [
[
"Zen",
"F. P.",
""
],
[
"Gunara",
"B. E.",
""
],
[
"Arianto",
"",
""
],
[
"Zainuddin",
"H.",
""
]
] | We study compactification of five dimensional ungauged N=2 supergravity coupled to vector- and hypermultiplets on orbifold $S^1/Z_2$. In the model the vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars span a generalized self dual Einstein manifold constructed by Calderbank and Pedersen. The bosonic and the fermionic sector of the low energy effective N=1 supergravity in four dimensions are derived. |
hep-th/9502160 | Wolfgang Eholzer | Wolfgang Eholzer | Fusion Algebras and Characters of Rational Conformal Field Theories | 87 pages, AMS TeX, one postscript figure, one exceptional case added
to Main theorem 2, some typos corrected | null | null | PhD thesis, BONN-IR-95-10 | hep-th | null | We introduce the notion of (nondegenerate) strongly-modular fusion algebras.
Here strongly-modular means that the fusion algebra is induced via Verlinde's
formula by a representation of the modular group whose kernel contains a
congruence subgroup. Furthermore, nondegenerate means that the conformal
dimensions of possibly underlying rational conformal field theories do not
differ by integers. Our first main result is the classification of all
strongly-modular fusion algebras of dimension two, three and four and the
classification of all nondegenerate strongly-modular fusion algebras of
dimension less than 24. Secondly, we show that the conformal characters of
various rational models of W-algebras can be determined from the mere knowledge
of the central charge and the set of conformal dimensions. We also describe how
to actually construct conformal characters by using theta series associated to
certain lattices. On our way we develop several tools for studying
representations of the modular group on spaces of modular functions. These
methods, applied here only to certain rational conformal field theories, are in
general useful for the analysis rational models.
| [
{
"created": "Tue, 28 Feb 1995 15:08:19 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 1995 07:00:27 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Eholzer",
"Wolfgang",
""
]
] | We introduce the notion of (nondegenerate) strongly-modular fusion algebras. Here strongly-modular means that the fusion algebra is induced via Verlinde's formula by a representation of the modular group whose kernel contains a congruence subgroup. Furthermore, nondegenerate means that the conformal dimensions of possibly underlying rational conformal field theories do not differ by integers. Our first main result is the classification of all strongly-modular fusion algebras of dimension two, three and four and the classification of all nondegenerate strongly-modular fusion algebras of dimension less than 24. Secondly, we show that the conformal characters of various rational models of W-algebras can be determined from the mere knowledge of the central charge and the set of conformal dimensions. We also describe how to actually construct conformal characters by using theta series associated to certain lattices. On our way we develop several tools for studying representations of the modular group on spaces of modular functions. These methods, applied here only to certain rational conformal field theories, are in general useful for the analysis rational models. |
1006.1871 | Christos Sourdis | Ioannis Bakas, Christos Sourdis | Homogeneous vacua of (generalized) new massive gravity | 1+25 pages; minor additions in conclusions (v2 to appear in Class.
Quantum Grav.) | Class.Quant.Grav.28:015012,2011 | 10.1088/0264-9381/28/1/015012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain all homogeneous solutions of new massive gravity models on S^3 and
AdS_3 by extending previously known results for the cosmological topologically
massive theory of gravity in three dimensions. In all cases, apart from the
maximally symmetric vacua, there are axially symmetric (i.e., bi-axially
squashed) as well as totally anisotropic (i.e., tri-axially squashed) metrics
of special algebraic type. Transitions among the vacua are modeled by instanton
solutions of 3+1 Horava-Lifshitz gravity with anisotropic scaling parameter
z=4.
| [
{
"created": "Wed, 9 Jun 2010 18:15:04 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Nov 2010 17:29:43 GMT",
"version": "v2"
}
] | 2010-12-15 | [
[
"Bakas",
"Ioannis",
""
],
[
"Sourdis",
"Christos",
""
]
] | We obtain all homogeneous solutions of new massive gravity models on S^3 and AdS_3 by extending previously known results for the cosmological topologically massive theory of gravity in three dimensions. In all cases, apart from the maximally symmetric vacua, there are axially symmetric (i.e., bi-axially squashed) as well as totally anisotropic (i.e., tri-axially squashed) metrics of special algebraic type. Transitions among the vacua are modeled by instanton solutions of 3+1 Horava-Lifshitz gravity with anisotropic scaling parameter z=4. |
1511.09393 | Roberto Percacci | Nobuyoshi Ohta, Roberto Percacci, Gian Paolo Vacca | Renormalization Group Equation and scaling solutions for f(R) gravity in
exponential parametrization | 24 pages, 12 figures. v.2 small corrections | null | 10.1140/epjc/s10052-016-3895-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We employ the exponential parametrization of the metric and a "physical"
gauge fixing procedure to write a functional flow equation for the
gravitational effective average action in an $f(R)$ truncation. The background
metric is a four-sphere and the coarse-graining procedure contains three free
parameters. We look for scaling solutions, i.e. non-Gaussian fixed points for
the function $f$. For a discrete set of values of the parameters, we find
simple global solutions of quadratic polynomial form. For other values, global
solutions can be found numerically. Such solutions can be extended in certain
regions of parameter space and have two relevant directions. We discuss the
merits and the shortcomings of this procedure.
| [
{
"created": "Mon, 30 Nov 2015 17:16:15 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2016 11:51:25 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Ohta",
"Nobuyoshi",
""
],
[
"Percacci",
"Roberto",
""
],
[
"Vacca",
"Gian Paolo",
""
]
] | We employ the exponential parametrization of the metric and a "physical" gauge fixing procedure to write a functional flow equation for the gravitational effective average action in an $f(R)$ truncation. The background metric is a four-sphere and the coarse-graining procedure contains three free parameters. We look for scaling solutions, i.e. non-Gaussian fixed points for the function $f$. For a discrete set of values of the parameters, we find simple global solutions of quadratic polynomial form. For other values, global solutions can be found numerically. Such solutions can be extended in certain regions of parameter space and have two relevant directions. We discuss the merits and the shortcomings of this procedure. |
hep-th/0204055 | null | Seungjoon Hyun, Sangmin Lee, Hyeonjoon Shin | On Decoupling of Massless Modes in NCOS Theories | 12 pages, latex2e, 2 figures; reference added, some modification
without changing result | Eur.Phys.J.C26:293-297,2002 | 10.1140/epjc/s2002-01047-8 | KIAS-P02016 | hep-th | null | We revisit the decoupling phenomenon of massless modes in the noncommutative
open string (NCOS) theories. We check the decoupling by explicit computation in
(2+1) or higher dimensional NCOS theories and recapitulate the validity of the
decoupling to all orders in perturbation theory.
| [
{
"created": "Fri, 5 Apr 2002 15:45:35 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2002 02:36:36 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] | We revisit the decoupling phenomenon of massless modes in the noncommutative open string (NCOS) theories. We check the decoupling by explicit computation in (2+1) or higher dimensional NCOS theories and recapitulate the validity of the decoupling to all orders in perturbation theory. |
0903.3234 | John Davey | John Davey, Amihay Hanany, Noppadol Mekareeya and Giuseppe Torri | Phases of M2-brane Theories | 60 pages, 28 figures, 6 tables. v2: minor corrections | JHEP 0906:025,2009 | 10.1088/1126-6708/2009/06/025 | Imperial/TP/09/AH/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate different toric phases of 2+1 dimensional quiver gauge
theories arising from M2-branes probing toric Calabi-Yau 4 folds. A brane
tiling for each toric phase is presented. We apply the 'forward algorithm' to
obtain the toric data of the mesonic moduli space of vacua and exhibit the
equivalence between the vacua of different toric phases of a given singularity.
The structures of the Master space, the mesonic moduli space, and the baryonic
moduli space are examined in detail. We compute the Hilbert series and use them
to verify the toric dualities between different phases. The Hilbert series,
R-charges, and generators of the mesonic moduli space are matched between toric
phases.
| [
{
"created": "Thu, 19 Mar 2009 09:59:40 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 2009 09:32:14 GMT",
"version": "v2"
}
] | 2009-06-25 | [
[
"Davey",
"John",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Torri",
"Giuseppe",
""
]
] | We investigate different toric phases of 2+1 dimensional quiver gauge theories arising from M2-branes probing toric Calabi-Yau 4 folds. A brane tiling for each toric phase is presented. We apply the 'forward algorithm' to obtain the toric data of the mesonic moduli space of vacua and exhibit the equivalence between the vacua of different toric phases of a given singularity. The structures of the Master space, the mesonic moduli space, and the baryonic moduli space are examined in detail. We compute the Hilbert series and use them to verify the toric dualities between different phases. The Hilbert series, R-charges, and generators of the mesonic moduli space are matched between toric phases. |
1312.1376 | Thomas Grimm | Thomas W. Grimm, Jan Keitel, Raffaele Savelli, Matthias Weissenbacher | From M-theory higher curvature terms to \alpha' corrections in F-theory | 41 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a Kaluza-Klein reduction of eleven-dimensional supergravity on a
Calabi-Yau fourfold including terms quartic and cubic in the Riemann curvature
and determine the induced corrections to the three-dimensional N=2 effective
action. We focus on the effective Einstein-Hilbert term and the kinetic terms
for vectors. Dualizing the vectors into scalars, we derive the resulting Kahler
potential and complex coordinates. The classical expressions for the Kahler
coordinates are non-trivially modified, while the functional form of the Kahler
potential is shown to be uncorrected. For elliptically fibered Calabi-Yau
fourfolds the corrections can be uplifted to a four-dimensional F-theory
compactification. We argue that also the four-dimensional N=1 Kahler
coordinates receive non-trivial corrections. We find a simple expression for
the induced corrections for different Abelian and non-Abelian seven-brane
configurations by scanning over many Calabi-Yau fourfolds with resolved
singularities. The interpretation of this expression leads us to conjecture
that the higher-curvature corrections correspond to \alpha'^2 corrections that
arise from open strings at the self-intersection of seven-branes.
| [
{
"created": "Wed, 4 Dec 2013 22:57:41 GMT",
"version": "v1"
}
] | 2013-12-06 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Keitel",
"Jan",
""
],
[
"Savelli",
"Raffaele",
""
],
[
"Weissenbacher",
"Matthias",
""
]
] | We perform a Kaluza-Klein reduction of eleven-dimensional supergravity on a Calabi-Yau fourfold including terms quartic and cubic in the Riemann curvature and determine the induced corrections to the three-dimensional N=2 effective action. We focus on the effective Einstein-Hilbert term and the kinetic terms for vectors. Dualizing the vectors into scalars, we derive the resulting Kahler potential and complex coordinates. The classical expressions for the Kahler coordinates are non-trivially modified, while the functional form of the Kahler potential is shown to be uncorrected. For elliptically fibered Calabi-Yau fourfolds the corrections can be uplifted to a four-dimensional F-theory compactification. We argue that also the four-dimensional N=1 Kahler coordinates receive non-trivial corrections. We find a simple expression for the induced corrections for different Abelian and non-Abelian seven-brane configurations by scanning over many Calabi-Yau fourfolds with resolved singularities. The interpretation of this expression leads us to conjecture that the higher-curvature corrections correspond to \alpha'^2 corrections that arise from open strings at the self-intersection of seven-branes. |
hep-th/0610102 | Michael R. Douglas | Michael R. Douglas (Rutgers, IHES) and Shamit Kachru (Stanford, KITP) | Flux Compactification | 66 pages, 3 figures, Latex with revtex4 macros. v3: version to appear
in RMP | Rev.Mod.Phys.79:733-796,2007 | 10.1103/RevModPhys.79.733 | null | hep-th hep-ph | null | We review recent work in which compactifications of string and M theory are
constructed in which all scalar fields (moduli) are massive, and supersymmetry
is broken with a small positive cosmological constant, features needed to
reproduce real world physics. We explain how this work implies that there is a
``landscape'' of string/M theory vacua, perhaps containing many candidates for
describing real world physics, and present the arguments for and against this
idea. We discuss statistical surveys of the landscape, and the prospects for
testable consequences of this picture, such as observable effects of moduli,
constraints on early cosmology, and predictions for the scale of supersymmetry
breaking.
| [
{
"created": "Mon, 9 Oct 2006 18:53:46 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 2006 11:05:47 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jan 2007 15:07:17 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Douglas",
"Michael R.",
"",
"Rutgers, IHES"
],
[
"Kachru",
"Shamit",
"",
"Stanford, KITP"
]
] | We review recent work in which compactifications of string and M theory are constructed in which all scalar fields (moduli) are massive, and supersymmetry is broken with a small positive cosmological constant, features needed to reproduce real world physics. We explain how this work implies that there is a ``landscape'' of string/M theory vacua, perhaps containing many candidates for describing real world physics, and present the arguments for and against this idea. We discuss statistical surveys of the landscape, and the prospects for testable consequences of this picture, such as observable effects of moduli, constraints on early cosmology, and predictions for the scale of supersymmetry breaking. |
hep-th/0412165 | Antonio Capolupo Dr | Massimo Blasone, Antonio Capolupo, Salvatore Capozziello, Sante
Carloni and Giuseppe Vitiello | Neutrino mixing as a source for cosmological constant | Presented at Second International Workshop DICE2004, From Decoherence
and Emergent Classicality to Emergent Quantum Mechanics Piombino (Tuscany),
September 1-4, 2004 7 pages | Braz.J.Phys. 35 (2005) 455-461 | 10.1590/S0103-97332005000300015 | null | hep-th | null | We report on recent results showing that neutrino mixing may lead to a
non-zero contribution to the cosmological constant. This contribution is of a
completely different nature with respect to the usual one by a massive spinor
field. We also study the problem of field mixing in Quantum Field Theory in
curved space-time, for the case of a scalar field in the
Friedmann-Robertson-Walker metric.
| [
{
"created": "Wed, 15 Dec 2004 14:39:18 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Blasone",
"Massimo",
""
],
[
"Capolupo",
"Antonio",
""
],
[
"Capozziello",
"Salvatore",
""
],
[
"Carloni",
"Sante",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] | We report on recent results showing that neutrino mixing may lead to a non-zero contribution to the cosmological constant. This contribution is of a completely different nature with respect to the usual one by a massive spinor field. We also study the problem of field mixing in Quantum Field Theory in curved space-time, for the case of a scalar field in the Friedmann-Robertson-Walker metric. |
hep-th/9511229 | Jose M. Figueroa-O'Farrill | Jose M Figueroa-O'Farrill and Sonia Stanciu | N=1 and N=2 cosets from gauged supersymmetric WZW models | 12 pages, latex2e (elsart style). The .dvi and .ps files can be
obtained from ftp://strings7.ph.qmw.ac.uk/pub/jmf/ 9511229.{dvi,ps} (Changed
some inaccuracies in the references.) | null | null | QMW-PH-95-42 | hep-th | null | We present a derivation of the N=1 and N=2 superconformal coset constructions
starting from a supersymmetric WZW model where a diagonal subgroup has been
gauged. We work in the general framework of self-dual (not necessarily
reductive) Lie algebras; but even in the reductive case these results are new.
We show that the BRST cohomology of the gauged supersymmetric WZW model
contains the N=1 (and if it exists also the N=2) coset generators. We also
extend the BRST analysis to show that the BRST cohomology of the supersymmetric
WZW model agrees with that of an ordinary bosonic WZW model (in a
representation twisted by the presence of the coset fermions). In particular,
in the case of the topological G/G coset, the supersymmetric and
nonsupersymmetric theories agree.
| [
{
"created": "Fri, 1 Dec 1995 00:29:12 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Dec 1995 00:21:03 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Figueroa-O'Farrill",
"Jose M",
""
],
[
"Stanciu",
"Sonia",
""
]
] | We present a derivation of the N=1 and N=2 superconformal coset constructions starting from a supersymmetric WZW model where a diagonal subgroup has been gauged. We work in the general framework of self-dual (not necessarily reductive) Lie algebras; but even in the reductive case these results are new. We show that the BRST cohomology of the gauged supersymmetric WZW model contains the N=1 (and if it exists also the N=2) coset generators. We also extend the BRST analysis to show that the BRST cohomology of the supersymmetric WZW model agrees with that of an ordinary bosonic WZW model (in a representation twisted by the presence of the coset fermions). In particular, in the case of the topological G/G coset, the supersymmetric and nonsupersymmetric theories agree. |
hep-th/0005013 | Sang Jin Sin | Chanyong Park and Sang-Jin Sin (Hanyang University) | Moving Domain Walls in $AdS_5$ and Graceful Exit from Inflation | 10 pages, figure included, reference added | Phys.Lett. B485 (2000) 239-245 | 10.1016/S0370-2693(00)00668-7 | null | hep-th hep-ph | null | We consider moving-brane-solutions in AdS type back ground. In the first
Randall-Sundrum configuration, there are two branes at fixed points of the
orbifold symmetry. We point out that if one brane is fixed and the other brane
is moving, the configuration is still a solution provided the moving brane has
a specific velocity determined by its tension and bulk cosmological constant.
In the absence of the $\bf Z_2$ symmetry, we can construct multi-brane
configurations by patching AdS-Schwarzshild solutions. In this case, we show
that the 4-dimensional effective cosmological constant on the brane world is
not well defined. We find a condition for a brane to be stationary. Using the
brane scattering, we suggest a scenario of inflation on the brane universe
during a finite time, i.e, a scenario of a graceful exit of inflation.
| [
{
"created": "Mon, 1 May 2000 18:01:19 GMT",
"version": "v1"
},
{
"created": "Thu, 11 May 2000 09:42:32 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Park",
"Chanyong",
"",
"Hanyang University"
],
[
"Sin",
"Sang-Jin",
"",
"Hanyang University"
]
] | We consider moving-brane-solutions in AdS type back ground. In the first Randall-Sundrum configuration, there are two branes at fixed points of the orbifold symmetry. We point out that if one brane is fixed and the other brane is moving, the configuration is still a solution provided the moving brane has a specific velocity determined by its tension and bulk cosmological constant. In the absence of the $\bf Z_2$ symmetry, we can construct multi-brane configurations by patching AdS-Schwarzshild solutions. In this case, we show that the 4-dimensional effective cosmological constant on the brane world is not well defined. We find a condition for a brane to be stationary. Using the brane scattering, we suggest a scenario of inflation on the brane universe during a finite time, i.e, a scenario of a graceful exit of inflation. |
1308.1798 | Luca Fabbri | Luca Fabbri | From Extended Gravity with Torsion-Spin Coupling to Running Constant for
Weak-Leptonic Forces | 2 pages, Proceedings of the XIII Marcel Grossmann Meeting | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show how in the most natural extension of gravity with
torsion, fermion fields are endowed with running coupling in spinorial
interaction, that are shown to reproduce the strength and structure of the
leptonic weak forces.
| [
{
"created": "Thu, 8 Aug 2013 09:33:32 GMT",
"version": "v1"
}
] | 2013-08-09 | [
[
"Fabbri",
"Luca",
""
]
] | In this paper we show how in the most natural extension of gravity with torsion, fermion fields are endowed with running coupling in spinorial interaction, that are shown to reproduce the strength and structure of the leptonic weak forces. |
hep-th/0610262 | Peter Orland | Peter Orland | Confinement in (2+1)-Dimensional Gauge Theories at Weak Coupling | Four pages, Based on a talk given at ``Quark Confinement and the
Hadron Spectrum 7", Ponta Delgada, Sao Miguel, Azores, Portugal, Sept. 2-7,
2006 | AIPConf.Proc.892:206-209,2007 | 10.1063/1.2714373 | BCCUNY-HEP/06-05 | hep-th cond-mat.str-el hep-lat math-ph math.MP | null | In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent
to a set of (1+1)-dimensional integrable models with a non-local coupling
between charge densities. This fact makes it possible to determine the static
potential between charges at weak coupling in an anisotropic version of the
theory, and understand features of the spectrum.
| [
{
"created": "Wed, 25 Oct 2006 13:53:04 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Orland",
"Peter",
""
]
] | In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential between charges at weak coupling in an anisotropic version of the theory, and understand features of the spectrum. |
hep-th/9506172 | Seung H. Son | Seung Hwan Son (University of Illinois at Urbana-Champaign) | The equations of some dispersionless limit | AmSTeX, 6 pages, amsppt.sty | null | null | null | hep-th | null | This short article presents a table of new equations which can be regarded as
the generalized equations of the dispersionless limit of several nonlinear
equations. From the definition expressed in an algebraic formula, one can get
an equation for any positive numbers p and q. The equations were calculated by
using the computers and were examined by hand-calculation up to p=10. Relations
with some dispersionless hierarchies are mentioned.
| [
{
"created": "Mon, 26 Jun 1995 20:18:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Son",
"Seung Hwan",
"",
"University of Illinois at Urbana-Champaign"
]
] | This short article presents a table of new equations which can be regarded as the generalized equations of the dispersionless limit of several nonlinear equations. From the definition expressed in an algebraic formula, one can get an equation for any positive numbers p and q. The equations were calculated by using the computers and were examined by hand-calculation up to p=10. Relations with some dispersionless hierarchies are mentioned. |
hep-th/9607021 | Lisa Randall | Csaba Csaki, Lisa Randall, Witold Skiba, and Robert Leigh | Supersymmetry Breaking Through Confining and Dual Theory Gauge Dynamics | 8 pages | Phys.Lett.B387:791-795,1996 | 10.1016/0370-2693(96)01108-2 | MIT-CTP-2543 | hep-th hep-ph | null | We show that theories in the confining, free magnetic, and conformal phases
can break supersymmetry through dynamical effects. To illustrate this, we
present theories based on the gauge groups $SU(n)\times SU(4)\times U(1)$ and
$SU(n) \times SU(5) \times U(1)$ with the field content obtained by decomposing
an $SU(m)$ theory with an antisymmetric tensor and $m-4$ antifundamentals.
| [
{
"created": "Wed, 3 Jul 1996 03:48:19 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Csaki",
"Csaba",
""
],
[
"Randall",
"Lisa",
""
],
[
"Skiba",
"Witold",
""
],
[
"Leigh",
"Robert",
""
]
] | We show that theories in the confining, free magnetic, and conformal phases can break supersymmetry through dynamical effects. To illustrate this, we present theories based on the gauge groups $SU(n)\times SU(4)\times U(1)$ and $SU(n) \times SU(5) \times U(1)$ with the field content obtained by decomposing an $SU(m)$ theory with an antisymmetric tensor and $m-4$ antifundamentals. |
hep-th/0208121 | Fernando T. C. Brandt | R. Medina, F. T. Brandt and F. R. Machado | The open superstring 5-point amplitude revisited | 41 pages. Submitted to JHEP on June 07. Accepted on July 31 | JHEP 0207 (2002) 071 | 10.1088/1126-6708/2002/07/071 | null | hep-th | null | We derive the complete five-gluon scattering amplitude at tree level, within
the context of Open Superstring theory. We find the general expression in terms
of kinematic factors, and also find its complete expansion up to ${\cal
O}({\alpha'}^3)$ terms. We use our scattering amplitude to test three
non-equivalent ${\cal O}({\alpha'}^3)$ effective lagrangians that have recently
been matter of some controversy.
| [
{
"created": "Fri, 16 Aug 2002 21:13:58 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Medina",
"R.",
""
],
[
"Brandt",
"F. T.",
""
],
[
"Machado",
"F. R.",
""
]
] | We derive the complete five-gluon scattering amplitude at tree level, within the context of Open Superstring theory. We find the general expression in terms of kinematic factors, and also find its complete expansion up to ${\cal O}({\alpha'}^3)$ terms. We use our scattering amplitude to test three non-equivalent ${\cal O}({\alpha'}^3)$ effective lagrangians that have recently been matter of some controversy. |
2110.08833 | Joris Raeymaekers | Joris Raeymaekers | A note on ensemble holography for rational tori | 21+6 pages. V2: minor corrections, published version | null | 10.1007/JHEP12(2021)177 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study simple examples of ensemble-averaged holography in free compact
boson CFTs with rational values of the radius squared. These well-known
rational CFTs have an extended chiral algebra generated by three currents. We
consider the modular average of the vacuum character in these theories, which
results in a weighted average over all modular invariants. In the simplest
case, when the chiral algebra is primitive (in a sense we explain), the weights
in this ensemble average are all equal. In the non-primitive case the ensemble
weights are governed by a semigroup structure on the space of modular
invariants.
These observations can be viewed as evidence for a holographic duality
between the ensemble of CFTs and an exotic gravity theory based on a compact
$U(1) \times U(1)$ Chern-Simons action. In the bulk description, the extended
chiral algebra arises from soliton sectors, and including these in the path
integral on thermal AdS$_3$ leads to the vacuum character of the chiral
algebra. We also comment on wormhole-like contributions to the multi-boundary
path integral.
| [
{
"created": "Sun, 17 Oct 2021 14:18:46 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2022 11:46:56 GMT",
"version": "v2"
}
] | 2022-01-07 | [
[
"Raeymaekers",
"Joris",
""
]
] | We study simple examples of ensemble-averaged holography in free compact boson CFTs with rational values of the radius squared. These well-known rational CFTs have an extended chiral algebra generated by three currents. We consider the modular average of the vacuum character in these theories, which results in a weighted average over all modular invariants. In the simplest case, when the chiral algebra is primitive (in a sense we explain), the weights in this ensemble average are all equal. In the non-primitive case the ensemble weights are governed by a semigroup structure on the space of modular invariants. These observations can be viewed as evidence for a holographic duality between the ensemble of CFTs and an exotic gravity theory based on a compact $U(1) \times U(1)$ Chern-Simons action. In the bulk description, the extended chiral algebra arises from soliton sectors, and including these in the path integral on thermal AdS$_3$ leads to the vacuum character of the chiral algebra. We also comment on wormhole-like contributions to the multi-boundary path integral. |
hep-th/0207250 | Tomislav Ivezic | Tomislav Ivezic | Invariant Relativistic Electrodynamics. Clifford Algebra Approach | 30 pages, Poynting's theorem is added (Sec. III.B), Secs. IIID, IV.B
and D are enlarged | null | null | null | hep-th | null | In the usual Clifford algebra formulation of electrodynamics the Faraday
bivector field F is decomposed into the observer dependent sum of a relative
vector E and a relative bivector e_5 B by making a space-time split, which
depends on the observer velocity. (E corresponds to the three-dimensional
electric field vector, B corresponds to the three-dimensional magnetic field
vector and e_5 is the (grade-4) pseudoscalar.) In this paper it is proved that
the space-time split and the relative vectors are not relativistically correct,
which means that the ordinary Maxwell equations with E and B and the field
equations (FE) with F are not physically equivalent. Therefore we present the
observer independent decomposition of F by using the 1-vectors of electric E
and magnetic B fields. The equivalent, invariant, formulations of relativistic
electrodynamics (independent of the reference frame and of the chosen
coordinatization for that frame) which use F, E and B, the real multivector Psi
= E - e_5 cB and the complex 1-vector Psi = E - icB are developed and presented
here. The new observer independent FE are presented in formulations with E and
B, with real and complex Psi. When the sources are absent the FE with real and
complex Psi become Dirac like relativistic wave equations for the free photon.
The expressions for the observer independent stress-energy vector T(v)
(1-vector), energy density U (scalar), the Poynting vector S and the momentum
density g (1-vectors), the angular momentum density M (bivector) and the
Lorentz force K (1-vector) are directly derived from the FE. The local
conservation laws are also directly derived from the FE and written in an
invariant way.
| [
{
"created": "Sat, 27 Jul 2002 16:52:16 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2002 13:39:21 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ivezic",
"Tomislav",
""
]
] | In the usual Clifford algebra formulation of electrodynamics the Faraday bivector field F is decomposed into the observer dependent sum of a relative vector E and a relative bivector e_5 B by making a space-time split, which depends on the observer velocity. (E corresponds to the three-dimensional electric field vector, B corresponds to the three-dimensional magnetic field vector and e_5 is the (grade-4) pseudoscalar.) In this paper it is proved that the space-time split and the relative vectors are not relativistically correct, which means that the ordinary Maxwell equations with E and B and the field equations (FE) with F are not physically equivalent. Therefore we present the observer independent decomposition of F by using the 1-vectors of electric E and magnetic B fields. The equivalent, invariant, formulations of relativistic electrodynamics (independent of the reference frame and of the chosen coordinatization for that frame) which use F, E and B, the real multivector Psi = E - e_5 cB and the complex 1-vector Psi = E - icB are developed and presented here. The new observer independent FE are presented in formulations with E and B, with real and complex Psi. When the sources are absent the FE with real and complex Psi become Dirac like relativistic wave equations for the free photon. The expressions for the observer independent stress-energy vector T(v) (1-vector), energy density U (scalar), the Poynting vector S and the momentum density g (1-vectors), the angular momentum density M (bivector) and the Lorentz force K (1-vector) are directly derived from the FE. The local conservation laws are also directly derived from the FE and written in an invariant way. |
2212.06774 | Yutaro Shoji | Yutaro Shoji | Path Integral for Mixed Tunneling, Polychronic Tunneling and Quantum
Gravity | 53pages, no figures, more explanation added | null | null | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum tunneling in a many-body system is much more non-trivial than that in
a one-body system. The most characteristic phenomenon is the mixed tunneling,
which has been studied in many fields for decades. For instance, let us
consider a system where there are two coupled particles and only one of them
feels a potential barrier. Quantum tunneling of such a system is not described
by either Euclidean or Lorentzian time evolution and the exponent of the WKB
wave function becomes complex. Recently, a similar phenomenon, polychronic
tunneling, has been proposed in quantum gravity, which enhances the decay rate
of a meta-stable vacuum by many orders of magnitude. In this paper, we present
path integral formalism that is applicable to such systems. The formalism can
be directly extended to quantum gravity and has some implications on the
problem of time in quantum gravity. We also discuss a possible relation to the
conventional path integral.
| [
{
"created": "Tue, 13 Dec 2022 17:51:26 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Jan 2023 15:28:57 GMT",
"version": "v2"
},
{
"created": "Wed, 10 May 2023 14:40:49 GMT",
"version": "v3"
}
] | 2023-05-11 | [
[
"Shoji",
"Yutaro",
""
]
] | Quantum tunneling in a many-body system is much more non-trivial than that in a one-body system. The most characteristic phenomenon is the mixed tunneling, which has been studied in many fields for decades. For instance, let us consider a system where there are two coupled particles and only one of them feels a potential barrier. Quantum tunneling of such a system is not described by either Euclidean or Lorentzian time evolution and the exponent of the WKB wave function becomes complex. Recently, a similar phenomenon, polychronic tunneling, has been proposed in quantum gravity, which enhances the decay rate of a meta-stable vacuum by many orders of magnitude. In this paper, we present path integral formalism that is applicable to such systems. The formalism can be directly extended to quantum gravity and has some implications on the problem of time in quantum gravity. We also discuss a possible relation to the conventional path integral. |
2306.00588 | Wolfgang M\"uck | Francesco Bigazzi, Tommaso Canneti, Wolfgang M\"uck | Semiclassical Quantization of the Superstring and Hagedorn Temperature | 44 pages, v2: version to appear in JHEP | JHEP08(2023)185 | 10.1007/JHEP08(2023)185 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper [1], the semiclassical quantization of a string, winding
once around the compact Euclidean time circle, on a supergravity background
dual to the deep infrared regime of a confining finite temperature gauge
theory, was carried out. The string mass-shell condition and, by extrapolation,
the Hagedorn temperature to leading order in the holographic limit was deduced.
In this work, we improve on those results in three ways. First, we fix some
missing details of the related light-cone quantization analysis. Second, we
reconsider the problem under the lens of a background-covariant geometrical
formalism. This allows us to put the semiclassical mass-shell condition on more
solid grounds. Finally, going beyond the semiclassical regime, we compute the
Hagedorn temperature at next-to-leading order in the holographic limit. The
sub-leading correction turns out to arise entirely from the contribution of the
zero modes of the massive worldsheet scalar fields. Our result matches that of
a recent analysis in the literature based on the Horowitz-Polchinski stringy
star effective model.
| [
{
"created": "Thu, 1 Jun 2023 12:02:12 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Aug 2023 06:54:17 GMT",
"version": "v2"
}
] | 2023-08-31 | [
[
"Bigazzi",
"Francesco",
""
],
[
"Canneti",
"Tommaso",
""
],
[
"Mück",
"Wolfgang",
""
]
] | In a recent paper [1], the semiclassical quantization of a string, winding once around the compact Euclidean time circle, on a supergravity background dual to the deep infrared regime of a confining finite temperature gauge theory, was carried out. The string mass-shell condition and, by extrapolation, the Hagedorn temperature to leading order in the holographic limit was deduced. In this work, we improve on those results in three ways. First, we fix some missing details of the related light-cone quantization analysis. Second, we reconsider the problem under the lens of a background-covariant geometrical formalism. This allows us to put the semiclassical mass-shell condition on more solid grounds. Finally, going beyond the semiclassical regime, we compute the Hagedorn temperature at next-to-leading order in the holographic limit. The sub-leading correction turns out to arise entirely from the contribution of the zero modes of the massive worldsheet scalar fields. Our result matches that of a recent analysis in the literature based on the Horowitz-Polchinski stringy star effective model. |
1201.4103 | Daniel Plencner | Marco Baumgartl, Ilka Brunner, Daniel Plencner | D-brane Moduli Spaces and Superpotentials in a Two-Parameter Model | 35 pages, 2 figures, reference added | JHEP 1203:039,2012 | 10.1007/JHEP03(2012)039 | LMU-ASC 04/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study D2-branes on the K3-fibration P^4_(11222)[8] using matrix
factorizations at the Landau-Ginzburg point and analyze their moduli space and
superpotentials in detail. We find that the open string moduli space consists
of various intersecting branches of different dimensions. Families of D2-branes
wrapping rational curves of degree one intersect with bound state branches. The
influence of non-toric complex structure deformations is investigated in the
Landau-Ginzburg framework, where these deformations arise as bulk moduli from
the twisted sectors.
| [
{
"created": "Thu, 19 Jan 2012 16:43:16 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2012 11:44:17 GMT",
"version": "v2"
}
] | 2012-04-06 | [
[
"Baumgartl",
"Marco",
""
],
[
"Brunner",
"Ilka",
""
],
[
"Plencner",
"Daniel",
""
]
] | We study D2-branes on the K3-fibration P^4_(11222)[8] using matrix factorizations at the Landau-Ginzburg point and analyze their moduli space and superpotentials in detail. We find that the open string moduli space consists of various intersecting branches of different dimensions. Families of D2-branes wrapping rational curves of degree one intersect with bound state branches. The influence of non-toric complex structure deformations is investigated in the Landau-Ginzburg framework, where these deformations arise as bulk moduli from the twisted sectors. |
hep-th/0611149 | Alexander Tarakanov N | A.N. Tarakanov | Homogeneous space-times as models for isolated extended objects | 12 pages, Report to Proceedings of 5th International Conference
Bolyai-Gauss-Lobachevsky: Non-Euclidean Geometry In Modern Physics (BGL-5),
10-13 Oct 2006, Minsk, Belarus | null | null | null | hep-th | null | An extended object is considered on the Minkowski background in the form of a
space-time bag, which is bounded by a certain surface confining an internal
substance. An internal metric is built starting from the symmetry principles
rather than from the field equations. Assuming such a surface to be Lorentz
invariant we find that the internal space is proved to be the de Sitter space.
Conformal inversion of the internal metric relative to the bag surface
determines an external space (conformally conjugated de Sitter space) whose
metric may simulate a field of the object. Although the extended object built
in a such a way is noncompact, its cross section by the hyperplane r^0=0, where
r^0 is the temporal coordinate, is compact (a ball) and the associated metric
can model a spherically symmetric extended massless charge in a certain
approximation.
| [
{
"created": "Tue, 14 Nov 2006 12:26:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tarakanov",
"A. N.",
""
]
] | An extended object is considered on the Minkowski background in the form of a space-time bag, which is bounded by a certain surface confining an internal substance. An internal metric is built starting from the symmetry principles rather than from the field equations. Assuming such a surface to be Lorentz invariant we find that the internal space is proved to be the de Sitter space. Conformal inversion of the internal metric relative to the bag surface determines an external space (conformally conjugated de Sitter space) whose metric may simulate a field of the object. Although the extended object built in a such a way is noncompact, its cross section by the hyperplane r^0=0, where r^0 is the temporal coordinate, is compact (a ball) and the associated metric can model a spherically symmetric extended massless charge in a certain approximation. |
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