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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9910107 | Thomas Wilke | T. Guhr, T. Wilke, and H.A. Weidenmueller | Stochastic field theory for a Dirac particle propagating in gauge field
disorder | 4 pages, 1 figure | Phys.Rev.Lett. 85 (2000) 2252-2255 | 10.1103/PhysRevLett.85.2252 | null | hep-th chao-dyn cond-mat nlin.CD | null | Recent theoretical and numerical developments show analogies between quantum
chromodynamics (QCD) and disordered systems in condensed matter physics. We
study the spectral fluctuations of a Dirac particle propagating in a finite
four dimensional box in the presence of gauge fields. We construct a model
which combines Efetov's approach to disordered systems with the principles of
chiral symmetry and QCD. To this end, the gauge fields are replaced with a
stochastic white noise potential, the gauge field disorder. Effective
supersymmetric non-linear sigma-models are obtained. Spontaneous breaking of
supersymmetry is found. We rigorously derive the equivalent of the Thouless
energy in QCD. Connections to other low-energy effective theories, in
particular the Nambu-Jona-Lasinio model and chiral perturbation theory, are
found.
| [
{
"created": "Thu, 14 Oct 1999 12:44:44 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Guhr",
"T.",
""
],
[
"Wilke",
"T.",
""
],
[
"Weidenmueller",
"H. A.",
""
]
] | Recent theoretical and numerical developments show analogies between quantum chromodynamics (QCD) and disordered systems in condensed matter physics. We study the spectral fluctuations of a Dirac particle propagating in a finite four dimensional box in the presence of gauge fields. We construct a model which combines Efetov's approach to disordered systems with the principles of chiral symmetry and QCD. To this end, the gauge fields are replaced with a stochastic white noise potential, the gauge field disorder. Effective supersymmetric non-linear sigma-models are obtained. Spontaneous breaking of supersymmetry is found. We rigorously derive the equivalent of the Thouless energy in QCD. Connections to other low-energy effective theories, in particular the Nambu-Jona-Lasinio model and chiral perturbation theory, are found. |
hep-th/0306249 | George Tsitsishvili | M. Eliashvili and G. Tsitsishvili | Area Preserving Transformations in Non-commutative Space and NCCS Theory | revtex, 9 pages, corrected typos | Eur.Phys.J. C32 (2003) 135-140 | 10.1140/epjc/s2003-01373-3 | null | hep-th | null | We propose an heuristic rule for the area transformation on the
non-commutative plane. The non-commutative area preserving transformations are
quantum deformation of the classical symplectic diffeomorphisms. Area
preservation condition is formulated as a field equation in the non-commutative
Chern-Simons gauge theory. The higher dimensional generalization is suggested
and the corresponding algebraic structure - the infinite dimensional $\sin$-Lie
algebra is extracted. As an illustrative example the second-quantized
formulation for electrons in the lowest Landau level is considered.
| [
{
"created": "Wed, 25 Jun 2003 15:49:34 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jun 2003 23:41:37 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Eliashvili",
"M.",
""
],
[
"Tsitsishvili",
"G.",
""
]
] | We propose an heuristic rule for the area transformation on the non-commutative plane. The non-commutative area preserving transformations are quantum deformation of the classical symplectic diffeomorphisms. Area preservation condition is formulated as a field equation in the non-commutative Chern-Simons gauge theory. The higher dimensional generalization is suggested and the corresponding algebraic structure - the infinite dimensional $\sin$-Lie algebra is extracted. As an illustrative example the second-quantized formulation for electrons in the lowest Landau level is considered. |
0910.0938 | Stoytcho Yazadjiev | Stoytcho S. Yazadjiev, Petia G. Nedkova | Sequences of dipole black rings and Kaluza-Klein bubbles | 26 pages, 1 figure | JHEP 1001:048,2010 | 10.1007/JHEP01(2010)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct new exact solutions to 5D Einstein-Maxwell equations describing
sequences of Kaluza-Klein bubbles and dipole black rings. The solutions are
generated by 2-soliton transformations from vacuum black ring - bubble
sequences. The properties of the solutions are investigated. We also derive the
Smarr-like relations and the mass and tension first laws in the general case
for such configurations of Kaluza-Klein bubbles and dipole black rings. The
novel moment is the appearance of the magnetic flux in the Smarr-like relations
and the first laws.
| [
{
"created": "Tue, 6 Oct 2009 07:56:02 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Yazadjiev",
"Stoytcho S.",
""
],
[
"Nedkova",
"Petia G.",
""
]
] | We construct new exact solutions to 5D Einstein-Maxwell equations describing sequences of Kaluza-Klein bubbles and dipole black rings. The solutions are generated by 2-soliton transformations from vacuum black ring - bubble sequences. The properties of the solutions are investigated. We also derive the Smarr-like relations and the mass and tension first laws in the general case for such configurations of Kaluza-Klein bubbles and dipole black rings. The novel moment is the appearance of the magnetic flux in the Smarr-like relations and the first laws. |
2007.15023 | Damiano Anselmi | Damiano Anselmi | Cosmic inflation as a renormalization-group flow: the running of power
spectra in quantum gravity | 38 pages, 6 figures; JCAP | J. Cosmol. Astropart. Phys. 01 (2021) 048 | 10.1088/1475-7516/2021/01/048 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the running of power spectra in inflationary cosmology as a
renormalization-group flow from the de Sitter fixed point. The beta function is
provided by the equations of the background metric. The spectra of the scalar
and tensor fluctuations obey RG evolution equations with vanishing anomalous
dimensions in the superhorizon limit. By organizing the perturbative expansion
in terms of leading and subleading logs, we calculate the spectral indices,
their runnings, the runnings of the runnings, etc., to the next-to-leading log
order in quantum gravity with fakeons (i.e., the theory $R+R^{2}+C^{2}$ with
the fakeon prescription/projection for $C^{2}$). We show that these quantities
are related to the spectra in a universal way. We also compute the first
correction to the relation $r=-8n_{T}$ and provide a number of quantum gravity
predictions that can be hopefully tested in the forthcoming future.
| [
{
"created": "Wed, 29 Jul 2020 18:00:22 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2021 12:53:46 GMT",
"version": "v2"
}
] | 2021-01-27 | [
[
"Anselmi",
"Damiano",
""
]
] | We study the running of power spectra in inflationary cosmology as a renormalization-group flow from the de Sitter fixed point. The beta function is provided by the equations of the background metric. The spectra of the scalar and tensor fluctuations obey RG evolution equations with vanishing anomalous dimensions in the superhorizon limit. By organizing the perturbative expansion in terms of leading and subleading logs, we calculate the spectral indices, their runnings, the runnings of the runnings, etc., to the next-to-leading log order in quantum gravity with fakeons (i.e., the theory $R+R^{2}+C^{2}$ with the fakeon prescription/projection for $C^{2}$). We show that these quantities are related to the spectra in a universal way. We also compute the first correction to the relation $r=-8n_{T}$ and provide a number of quantum gravity predictions that can be hopefully tested in the forthcoming future. |
hep-th/9209056 | null | D. Dalmazi | Tree Amplitudes in Noncritical $N=2$ Strings | (misprints in formulae (7),(10) and (34) have been corrected) 9 pages
(Talk given at ICTP-Trieste, July '92)-Plain tex file | null | null | null | hep-th | null | Recent results for tree amplitudes for the $N=2$ noncritical strings are
presented and compared with the critical case. Arguments are given which
indicate a certain discontinuity in passing from the $\hat c < 1$ model (in a
Coulomb gas representation) to the $\hat c = 1$ critical case.
| [
{
"created": "Wed, 16 Sep 1992 07:35:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1992 07:52:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dalmazi",
"D.",
""
]
] | Recent results for tree amplitudes for the $N=2$ noncritical strings are presented and compared with the critical case. Arguments are given which indicate a certain discontinuity in passing from the $\hat c < 1$ model (in a Coulomb gas representation) to the $\hat c = 1$ critical case. |
1012.4057 | Walter Vinci | Muneto Nitta and Walter Vinci | Non-Abelian Monopoles in the Higgs Phase | 37 pages, no figures; v2: refs. added | Nucl.Phys.B848:121-154,2011 | 10.1016/j.nuclphysb.2011.02.014 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks
supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge
theories when non-zero masses for the matter hypermultiplets are introduced. We
focus on the case of degenerate masses. In these special cases vortices acquire
new orientational degrees of freedom, and become "non-Abelian". Kinks acquire
new degrees of freedom too, and we will refer to them as "non-Abelian". As
already noticed for the Abelian case, non-Abelian kinks must correspond to
non-Abelian monopoles of the unbroken phase of SU(N) Yang-Mills. We show, in
some special cases, that the moduli spaces of the two objects are in one-to-one
correspondence. We argue that the corre- spondence holds in the most general
case. The consequence of our result is two-fold. First, it gives an alternative
way to construct non-Abelian monopoles, in addition to other well- known
techniques (Nahm transform, spectral curves, rational maps). Second, it opens
the way to the study of the quantum physics of non- Abelian monopoles, by
considering the simpler non-Abelian kinks.
| [
{
"created": "Sat, 18 Dec 2010 04:15:51 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2011 02:05:21 GMT",
"version": "v2"
}
] | 2011-03-30 | [
[
"Nitta",
"Muneto",
""
],
[
"Vinci",
"Walter",
""
]
] | We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge theories when non-zero masses for the matter hypermultiplets are introduced. We focus on the case of degenerate masses. In these special cases vortices acquire new orientational degrees of freedom, and become "non-Abelian". Kinks acquire new degrees of freedom too, and we will refer to them as "non-Abelian". As already noticed for the Abelian case, non-Abelian kinks must correspond to non-Abelian monopoles of the unbroken phase of SU(N) Yang-Mills. We show, in some special cases, that the moduli spaces of the two objects are in one-to-one correspondence. We argue that the corre- spondence holds in the most general case. The consequence of our result is two-fold. First, it gives an alternative way to construct non-Abelian monopoles, in addition to other well- known techniques (Nahm transform, spectral curves, rational maps). Second, it opens the way to the study of the quantum physics of non- Abelian monopoles, by considering the simpler non-Abelian kinks. |
hep-th/9605223 | Albion Lawrence | Albion Lawrence (U. Chicago, Enrico Fermi Institute) | The target space geometry of N=(2,1) string theory | 41 pages, 5 figures, standard LaTeX, uses epsf.tex. Some typos
corrected, discussion in footnote 1 corrected | Class.Quant.Grav. 14 (1997) 309-338 | 10.1088/0264-9381/14/2/007 | EFI-96-19 | hep-th | null | We describe the ${\cal{O}}({\alpha'}^0)$ constraints on the target space
geometry of the $N=(2,1)$ heterotic superstring due to the left-moving $N=1$
supersymmetry and $U(1)$ currents. In the fermionic description of the internal
sector supersymmetry is realized quantum mechanically, so that both tree-level
and one-loop effects contribute to the order ${\cal{O}}({\alpha'}^0)$
constraints. We also discuss the physical interpretation of the resulting
target space geometry in terms of configurations of a $2+2$-dimensional object
propagating in a $10+2$-dimensional spacetime with a null isometry, which has
recently been suggested as a unified description of string and M theory.
| [
{
"created": "Thu, 30 May 1996 23:04:20 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jul 1996 00:58:24 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Lawrence",
"Albion",
"",
"U. Chicago, Enrico Fermi Institute"
]
] | We describe the ${\cal{O}}({\alpha'}^0)$ constraints on the target space geometry of the $N=(2,1)$ heterotic superstring due to the left-moving $N=1$ supersymmetry and $U(1)$ currents. In the fermionic description of the internal sector supersymmetry is realized quantum mechanically, so that both tree-level and one-loop effects contribute to the order ${\cal{O}}({\alpha'}^0)$ constraints. We also discuss the physical interpretation of the resulting target space geometry in terms of configurations of a $2+2$-dimensional object propagating in a $10+2$-dimensional spacetime with a null isometry, which has recently been suggested as a unified description of string and M theory. |
hep-th/9604058 | null | H. Lu, C.N. Pope and K.W. Xu | Liouville and Toda Solitons in M-theory | Latex, 10 pages. Minor corrections to text and title | Mod.Phys.Lett.A11:1785-1796,1996 | 10.1142/S0217732396001776 | CTP TAMU-12/96, IC/96/54 | hep-th | null | We study the general form of the equations for isotropic single-scalar,
multi-scalar and dyonic $p$-branes in superstring theory and M-theory, and show
that they can be cast into the form of Liouville, Toda (or Toda-like)
equations. The general solutions describe non-extremal isotropic $p$-branes,
reducing to the previously-known extremal solutions in limiting cases. In the
non-extremal case, the dilatonic scalar fields are finite at the outer event
horizon.
| [
{
"created": "Thu, 11 Apr 1996 03:18:22 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 1996 08:10:54 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Xu",
"K. W.",
""
]
] | We study the general form of the equations for isotropic single-scalar, multi-scalar and dyonic $p$-branes in superstring theory and M-theory, and show that they can be cast into the form of Liouville, Toda (or Toda-like) equations. The general solutions describe non-extremal isotropic $p$-branes, reducing to the previously-known extremal solutions in limiting cases. In the non-extremal case, the dilatonic scalar fields are finite at the outer event horizon. |
hep-th/9310017 | Ramy Brustein | R. Brustein, M. Faux and B. Ovrut | Non-Perturbative effective Lagrangians for super-matrix models | Presented by B. Ovrut at the International Europhysics Conference,
Marseille, July 22-28,1993, 5 papges, preprint CERN-TH.7013/93 | null | null | null | hep-th | null | We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the
associated $d=2$ collective field theory in the limit of dense eigenvalues.
From this field theory we construct, by the addition of several new fields, a
$d=2$ supersymmetric effective field theory, which reduces to the collective
field theory when the new fields are replaced with their vacuum expectation
values. This effective theory is Poincare invariant and contains perturbative
and non-perturbative information about the associated superstrings.
| [
{
"created": "Mon, 4 Oct 1993 14:05:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brustein",
"R.",
""
],
[
"Faux",
"M.",
""
],
[
"Ovrut",
"B.",
""
]
] | We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this field theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory when the new fields are replaced with their vacuum expectation values. This effective theory is Poincare invariant and contains perturbative and non-perturbative information about the associated superstrings. |
hep-th/9403094 | Rinat Kedem | Omar Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H. Yan | An elliptic quantum algebra for $\widehat{sl}_2$ | (Final version for publication.) | Lett.Math.Phys. 32 (1994) 259-268 | 10.1007/BF00750668 | null | hep-th math.QA | null | An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation of
the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are
eight-vertex $R$-matrices with the elliptic moduli chosen differently. In the
trigonometric limit, this algebra reduces to a quotient of that proposed by
Reshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest weight
modules and vertex operators are formulated, and the physical interpretation of
$R^*$ is discussed.
| [
{
"created": "Thu, 17 Mar 1994 06:09:45 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Mar 1994 06:51:56 GMT",
"version": "v2"
},
{
"created": "Thu, 12 May 1994 11:43:28 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Foda",
"Omar",
""
],
[
"Iohara",
"K.",
""
],
[
"Jimbo",
"M.",
""
],
[
"Kedem",
"R.",
""
],
[
"Miwa",
"T.",
""
],
[
"Yan",
"H.",
""
]
] | An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation of the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are eight-vertex $R$-matrices with the elliptic moduli chosen differently. In the trigonometric limit, this algebra reduces to a quotient of that proposed by Reshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest weight modules and vertex operators are formulated, and the physical interpretation of $R^*$ is discussed. |
1002.2464 | Toru Kikuchi | Hiroyuki Hata and Toru Kikuchi | Relativistic Collective Coordinate Quantization of Solitons: Spinning
Skyrmion | 6 pages, no figures, REVTeX; appendix added, published in PRD | Phys.Rev.D82:025017,2010 | 10.1103/PhysRevD.82.025017 | KUNS-2254 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a consistent relativistic generalization of collective coordinate
quantization of field theory solitons. Our principle of introducing collective
coordinates is that the equations of motion of the collective coordinates
ensure those of the original field theory. We illustrate this principle with
the quantization of spinning degrees of freedom of Skyrmion representing
baryons. We calculate the leading relativistic corrections to the static
properties of nucleons, and find that the corrections are non-negligible ones
of 10% to 20%.
| [
{
"created": "Fri, 12 Feb 2010 02:49:00 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2010 02:15:22 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Aug 2010 06:34:58 GMT",
"version": "v3"
}
] | 2010-08-24 | [
[
"Hata",
"Hiroyuki",
""
],
[
"Kikuchi",
"Toru",
""
]
] | We develop a consistent relativistic generalization of collective coordinate quantization of field theory solitons. Our principle of introducing collective coordinates is that the equations of motion of the collective coordinates ensure those of the original field theory. We illustrate this principle with the quantization of spinning degrees of freedom of Skyrmion representing baryons. We calculate the leading relativistic corrections to the static properties of nucleons, and find that the corrections are non-negligible ones of 10% to 20%. |
hep-th/9502020 | Tarrach | Rolf Tarrach | Is There Physics in Landau Poles ? | 17 pages, plain TeX, no figures | null | null | UB-ECM-PF-38-94 | hep-th | null | Triviality and Landau poles are often greeted as harbingers of new physics at
1 TeV. After briefly reviewing the ideas behind this, a model of singular
quantum mechanics is introduced. Its ultraviolet structure, as well as some
features of its vacuum, related to triviality, very much parallel
$\lambda\phi^4$. The model is solvable, exactly and perturbatively, in any
dimension. From its analysis we learn that Landau poles do not appear in any
exactly computed observable, but only in truncated perturbation theory, when
perturbation theory is performed with the wrong sign coupling. If these
findings apply to the standard model no new physics at 1 TeV should be expected
but only challenges for theorists.
| [
{
"created": "Fri, 3 Feb 1995 11:50:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tarrach",
"Rolf",
""
]
] | Triviality and Landau poles are often greeted as harbingers of new physics at 1 TeV. After briefly reviewing the ideas behind this, a model of singular quantum mechanics is introduced. Its ultraviolet structure, as well as some features of its vacuum, related to triviality, very much parallel $\lambda\phi^4$. The model is solvable, exactly and perturbatively, in any dimension. From its analysis we learn that Landau poles do not appear in any exactly computed observable, but only in truncated perturbation theory, when perturbation theory is performed with the wrong sign coupling. If these findings apply to the standard model no new physics at 1 TeV should be expected but only challenges for theorists. |
hep-th/9803171 | Laura Andrianopoli | Laura Andrianopoli and Sergio Ferrara | K-K excitations on AdS_5 x S^5 as N=4 ``primary'' superfields | 11 pages, LaTeX, no figures | Phys.Lett. B430 (1998) 248-253 | 10.1016/S0370-2693(98)00553-X | null | hep-th | null | We show that the K-K spectrum of IIB string on AdS_5 x S_5 is described by
``twisted chiral'' N=4 superfields, naturally described in ``harmonic
superspace'', obtained by taking suitable gauge singlets polynomials of the
D3-brane boundary SU(n) superconformal field theory. To each p-order polynomial
is associated a massive K-K short representation with 256 x 1/12 p^2(p^2 -1)
states. The p=2 quadratic polynomial corresponds to the ``supercurrent
multiplet'' describing the ``massless'' bulk graviton multiplet.
| [
{
"created": "Fri, 20 Mar 1998 16:38:46 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Andrianopoli",
"Laura",
""
],
[
"Ferrara",
"Sergio",
""
]
] | We show that the K-K spectrum of IIB string on AdS_5 x S_5 is described by ``twisted chiral'' N=4 superfields, naturally described in ``harmonic superspace'', obtained by taking suitable gauge singlets polynomials of the D3-brane boundary SU(n) superconformal field theory. To each p-order polynomial is associated a massive K-K short representation with 256 x 1/12 p^2(p^2 -1) states. The p=2 quadratic polynomial corresponds to the ``supercurrent multiplet'' describing the ``massless'' bulk graviton multiplet. |
2002.02120 | Andriniaina Narindra Rasoanaivo | Andriniaina Narindra Rasoanaivo | Helicity Constraints To Soft Factor Of All Spin | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we derive non-perturbative constraints for soft operators in
order to preserve the helicities of scatteringamplitudes in a soft limit. We
also show that the resolution of such constraints generates a master formula
for theanalytic expression of the single soft factor of any given spin and
helicity.
| [
{
"created": "Thu, 6 Feb 2020 06:42:49 GMT",
"version": "v1"
}
] | 2020-02-07 | [
[
"Rasoanaivo",
"Andriniaina Narindra",
""
]
] | In this note we derive non-perturbative constraints for soft operators in order to preserve the helicities of scatteringamplitudes in a soft limit. We also show that the resolution of such constraints generates a master formula for theanalytic expression of the single soft factor of any given spin and helicity. |
1501.07466 | Peter Millington | Bjorn Garbrecht and Peter Millington | Green's function method for handling radiative effects on false vacuum
decay | 19 pages, 5 figures, revtex format; references extended, Section III
A and Appendix C corrected and further clarifications added; version accepted
for publication Physical Review D | Phys. Rev. D 91, 105021 (2015) | 10.1103/PhysRevD.91.105021 | TUM-HEP-977-15 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a Green's function method for handling radiative effects on
false vacuum decay. In addition to the usual thin-wall approximation, we
achieve further simplification by treating the bubble wall in the planar limit.
As an application, we take the $\lambda\phi^4$ theory, extended with $N$
additional heavier scalars, wherein we calculate analytically both the
functional determinant of the quadratic fluctuations about the classical
soliton configuration and the first correction to the soliton configuration
itself.
| [
{
"created": "Thu, 29 Jan 2015 14:52:22 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2015 08:36:50 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Garbrecht",
"Bjorn",
""
],
[
"Millington",
"Peter",
""
]
] | We introduce a Green's function method for handling radiative effects on false vacuum decay. In addition to the usual thin-wall approximation, we achieve further simplification by treating the bubble wall in the planar limit. As an application, we take the $\lambda\phi^4$ theory, extended with $N$ additional heavier scalars, wherein we calculate analytically both the functional determinant of the quadratic fluctuations about the classical soliton configuration and the first correction to the soliton configuration itself. |
1106.1659 | Junpu Wang | Solomon Endlich, and Junpu Wang | Classical Stability of the Galileon | 23 pages, 3 figures | null | 10.1007/JHEP11(2011)065 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the classical equations of motion for a single Galileon field
with generic parameters in the presence of non-relativistic sources. We
introduce the concept of absolute stability of a theory: if one can show that a
field at a single point---like infinity for instance---in spacetime is stable,
then stability of the field over the rest of spacetime is guaranteed for any
positive energy source configuration. The Dvali-Gabadadze-Porrati (DGP) model
is stable in this manner, and previous studies of spherically symmetric
solutions suggest that certain classes of the single field Galileon (of which
the DGP model is a subclass) may have this property as well. We find, however,
that when general solutions are considered this is not the case. In fact, when
considering generic solutions there are no choices of free parameters in the
Galileon theory that will lead to absolute stability except the DGP choice. Our
analysis indicates that the DGP model is an exceptional choice among the large
class of possible single field Galileon theories. This implies that if general
solutions (non-spherically symmetric) exist they may be unstable. Given
astrophysical motivation for the Galileon, further investigation into these
unstable solutions may prove fruitful.
| [
{
"created": "Wed, 8 Jun 2011 20:17:36 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2011 23:03:04 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Endlich",
"Solomon",
""
],
[
"Wang",
"Junpu",
""
]
] | We consider the classical equations of motion for a single Galileon field with generic parameters in the presence of non-relativistic sources. We introduce the concept of absolute stability of a theory: if one can show that a field at a single point---like infinity for instance---in spacetime is stable, then stability of the field over the rest of spacetime is guaranteed for any positive energy source configuration. The Dvali-Gabadadze-Porrati (DGP) model is stable in this manner, and previous studies of spherically symmetric solutions suggest that certain classes of the single field Galileon (of which the DGP model is a subclass) may have this property as well. We find, however, that when general solutions are considered this is not the case. In fact, when considering generic solutions there are no choices of free parameters in the Galileon theory that will lead to absolute stability except the DGP choice. Our analysis indicates that the DGP model is an exceptional choice among the large class of possible single field Galileon theories. This implies that if general solutions (non-spherically symmetric) exist they may be unstable. Given astrophysical motivation for the Galileon, further investigation into these unstable solutions may prove fruitful. |
hep-th/0608130 | Kazutoshi Araki | Kazutoshi Araki, Takeo Inami and Hiroaki Nakajima | Instanton Equations for the Supersymmetric CP^{N-1} Sigma Model on
Non(anti)commutative Superspace | 6 pages | Prog.Theor.Phys.116:975-980,2007 | 10.1143/PTP.116.975 | null | hep-th | null | We study the instanton equation of the supersymmetric CP^{N-1} sigma model on
non(anti)commutative superspace in two dimensions. We show that the undeformed
instanton equation is consistent with the deformed equations of motion. Then we
conclude that the instanton equation is not deformed by superspace
non(anti)commutativity.
| [
{
"created": "Fri, 18 Aug 2006 07:58:03 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Sep 2006 08:33:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Araki",
"Kazutoshi",
""
],
[
"Inami",
"Takeo",
""
],
[
"Nakajima",
"Hiroaki",
""
]
] | We study the instanton equation of the supersymmetric CP^{N-1} sigma model on non(anti)commutative superspace in two dimensions. We show that the undeformed instanton equation is consistent with the deformed equations of motion. Then we conclude that the instanton equation is not deformed by superspace non(anti)commutativity. |
hep-th/0512167 | Alessandro Fabbri | A. Fabbri, S. Farese, J. Navarro-Salas, G. J. Olmo and H.
Sanchis-Alepuz | Semiclassical zero-temperature corrections to Schwarzschild spacetime
and holography | 26 pages, 4 figures; revised version (title changed, conclusions
shortened), published as Phys. Rev. D73, 104023 (2006) | Phys.Rev.D73:104023,2006 | 10.1103/PhysRevD.73.104023 | null | hep-th gr-qc | null | Motivated by the quest for black holes in AdS braneworlds, and in particular
by the holographic conjecture relating 5D classical bulk solutions with 4D
quantum corrected ones, we numerically solve the semiclassical Einstein
equations (backreaction equations) with matter fields in the (zero temperature)
Boulware vacuum state. In the absence of an exact analytical expression for
<T_(mu nu)> in four dimensions we work within the s-wave approximation. Our
results show that the quantum corrected solution is very similar to
Schwarzschild till very close to the horizon, but then a bouncing surface for
the radial function appears which prevents the formation of an event horizon.
We also analyze the behavior of the geometry beyond the bounce, where a
curvature singularity arises. In the dual theory, this indicates that the
corresponding 5D static classical braneworld solution is not a black hole but
rather a naked singularity.
| [
{
"created": "Wed, 14 Dec 2005 18:08:16 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2006 17:49:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fabbri",
"A.",
""
],
[
"Farese",
"S.",
""
],
[
"Navarro-Salas",
"J.",
""
],
[
"Olmo",
"G. J.",
""
],
[
"Sanchis-Alepuz",
"H.",
""
]
] | Motivated by the quest for black holes in AdS braneworlds, and in particular by the holographic conjecture relating 5D classical bulk solutions with 4D quantum corrected ones, we numerically solve the semiclassical Einstein equations (backreaction equations) with matter fields in the (zero temperature) Boulware vacuum state. In the absence of an exact analytical expression for <T_(mu nu)> in four dimensions we work within the s-wave approximation. Our results show that the quantum corrected solution is very similar to Schwarzschild till very close to the horizon, but then a bouncing surface for the radial function appears which prevents the formation of an event horizon. We also analyze the behavior of the geometry beyond the bounce, where a curvature singularity arises. In the dual theory, this indicates that the corresponding 5D static classical braneworld solution is not a black hole but rather a naked singularity. |
1509.00769 | Israel Ram\'irez | Israel Ramirez and Brenno Carlini Vallilo | Worldsheet dilatation operator for the $AdS$ superstring | 35 pages | null | 10.1007/JHEP05(2016)129 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we propose a systematic way to compute the logarithmic
divergences of composite operators in the pure spinor description of the
$AdS_5\times S^5$ superstring. The computations of these divergences can be
summarized in terms of a dilatation operator acting on the local operators. We
check our results with some important composite operators of the formalism.
| [
{
"created": "Wed, 2 Sep 2015 16:15:17 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Feb 2016 15:48:00 GMT",
"version": "v2"
},
{
"created": "Mon, 30 May 2016 14:01:21 GMT",
"version": "v3"
}
] | 2016-05-31 | [
[
"Ramirez",
"Israel",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | In this work we propose a systematic way to compute the logarithmic divergences of composite operators in the pure spinor description of the $AdS_5\times S^5$ superstring. The computations of these divergences can be summarized in terms of a dilatation operator acting on the local operators. We check our results with some important composite operators of the formalism. |
1711.08694 | Matthieu Tissier | Matthieu Tissier | Gribov copies, avalanches and dynamic generation of a gluon mass | 5 pages, 1 figure | null | 10.1016/j.physletb.2018.07.043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Analytic calculations in the infrared regime of nonabelian gauge theories are
hampered by the presence of Gribov copies which results in some ambiguity in
the gauge-fixing procedure. This problem shares strong similarities with the
issue of finding the true ground state among a large number of metastable
states, a typical situation in the field of statistical physics of disordered
systems. Building on this analogy, we propose a new gauge-fixing procedure
which, we argue, makes more explicit the influence of the Gribov copies. A
1-loop calculation shows that the dynamics of these copies can lead to the
spontaneous generation of a gauge-dependent gluon mass.
| [
{
"created": "Thu, 23 Nov 2017 13:52:52 GMT",
"version": "v1"
}
] | 2018-07-25 | [
[
"Tissier",
"Matthieu",
""
]
] | Analytic calculations in the infrared regime of nonabelian gauge theories are hampered by the presence of Gribov copies which results in some ambiguity in the gauge-fixing procedure. This problem shares strong similarities with the issue of finding the true ground state among a large number of metastable states, a typical situation in the field of statistical physics of disordered systems. Building on this analogy, we propose a new gauge-fixing procedure which, we argue, makes more explicit the influence of the Gribov copies. A 1-loop calculation shows that the dynamics of these copies can lead to the spontaneous generation of a gauge-dependent gluon mass. |
hep-th/9607041 | Atish Dabholkar | Atish Dabholkar and Jaemo Park | A Note on Orientifolds and F-theory | 11 pages, harvmac | Phys.Lett. B394 (1997) 302-306 | 10.1016/S0370-2693(97)00012-9 | null | hep-th | null | An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is
constructed which corresponds to F-theory compactification on a Calabi-Yau
orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to
an orbifold with discrete torsion in that the action of orientation reversal
has an additional phase on the twisted sectors, and both 9-branes and 5-branes
carry orthogonal gauge groups. An orientifold of the $Z_3$ orbifold and its
relation to F-theory is briefly discussed.
| [
{
"created": "Fri, 5 Jul 1996 00:30:45 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Dabholkar",
"Atish",
""
],
[
"Park",
"Jaemo",
""
]
] | An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is constructed which corresponds to F-theory compactification on a Calabi-Yau orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to an orbifold with discrete torsion in that the action of orientation reversal has an additional phase on the twisted sectors, and both 9-branes and 5-branes carry orthogonal gauge groups. An orientifold of the $Z_3$ orbifold and its relation to F-theory is briefly discussed. |
hep-th/9703051 | Jose Fernandez Barbon | J.L.F. Barbon | Rotated Branes and N=1 Duality | 8 pp, harvmac, minor corrections and comments added | Phys.Lett. B402 (1997) 59-63 | 10.1016/S0370-2693(97)00451-6 | CERN-TH/97-38 | hep-th | null | We consider configurations of rotated NS-branes leading to a family of
four-dimensional N=1 super-QCD theories, interpolating between four-dimensional
analogues of the Hanany-Witten vacua, and the Elitzur-Giveon-Kutasov
configuration for N=1 duality. The rotation angle is the N=2 breaking
parameter, the mass of the adjoint scalar in the N=2 vector multiplet. We add
some comments on the relevance of these configurations as possible stringy
proofs of N=1 duality.
| [
{
"created": "Thu, 6 Mar 1997 18:49:36 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 1997 17:03:53 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Barbon",
"J. L. F.",
""
]
] | We consider configurations of rotated NS-branes leading to a family of four-dimensional N=1 super-QCD theories, interpolating between four-dimensional analogues of the Hanany-Witten vacua, and the Elitzur-Giveon-Kutasov configuration for N=1 duality. The rotation angle is the N=2 breaking parameter, the mass of the adjoint scalar in the N=2 vector multiplet. We add some comments on the relevance of these configurations as possible stringy proofs of N=1 duality. |
2305.00394 | Nikhil Kalyanapuram | Nikhil Kalyanapuram | Prescriptive Unitarity and Rigidity at Two Loops | v1: 96 pages, lots of figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate upon and consolidate various recent developments focusing on the
triality of questions offered by issues of basis building, unitarity and
non-polylogarithmicity in quantum field theory, specifically for planar two
loops. The interplay between the dual questions of setting up bases of
integrands and accurately preparing a complete set of cuts to secure correct
\emph{ans\"atze} of loop integrands expanded thereby is enriched by the
appearance of non-polylogarithmic structures, first seen in planar two loops in
the form of elliptic polylogarithms. We strengthen this by presenting an
extended discussion of a new method of building bases, classifying loop
integrands by power counting, or their behaviour in the ultraviolet and
studying a convenient, albeit manifestly non-canonical set of cuts of full
rank. By studying cut equations derived from poorly chosen contours in loop
momentum space, the question of finding morally good sets of cuts to
accommodate ellipticity at two loops is forced upon us. We discuss a
generalization of the notion of a leading singularity in this case -- something
we call an elliptic leading singularity -- a concept which only makes reference
to the underlying geometry of the elliptic curve. We also expand upon the task
of constructing master integrand bases that neatly distinguish between elliptic
and ordinary polylogs. This stratification of the basis -- where each master is
either pure elliptic or polylog -- is carried out by drawing on an expanded
basis at two loops, the so-called triangle power counting basis. In the course
of developing such a master integrand basis, we emphasize the importance of
choosing, intelligently, spanning sets of cuts, and writing down integrand
numerators dual to these cuts that are diagonal -- or prescriptive -- with
regard to these choices, to highlight the conceptual and technical
simplifications arising therefrom.
| [
{
"created": "Sun, 30 Apr 2023 05:29:53 GMT",
"version": "v1"
}
] | 2023-05-02 | [
[
"Kalyanapuram",
"Nikhil",
""
]
] | We elaborate upon and consolidate various recent developments focusing on the triality of questions offered by issues of basis building, unitarity and non-polylogarithmicity in quantum field theory, specifically for planar two loops. The interplay between the dual questions of setting up bases of integrands and accurately preparing a complete set of cuts to secure correct \emph{ans\"atze} of loop integrands expanded thereby is enriched by the appearance of non-polylogarithmic structures, first seen in planar two loops in the form of elliptic polylogarithms. We strengthen this by presenting an extended discussion of a new method of building bases, classifying loop integrands by power counting, or their behaviour in the ultraviolet and studying a convenient, albeit manifestly non-canonical set of cuts of full rank. By studying cut equations derived from poorly chosen contours in loop momentum space, the question of finding morally good sets of cuts to accommodate ellipticity at two loops is forced upon us. We discuss a generalization of the notion of a leading singularity in this case -- something we call an elliptic leading singularity -- a concept which only makes reference to the underlying geometry of the elliptic curve. We also expand upon the task of constructing master integrand bases that neatly distinguish between elliptic and ordinary polylogs. This stratification of the basis -- where each master is either pure elliptic or polylog -- is carried out by drawing on an expanded basis at two loops, the so-called triangle power counting basis. In the course of developing such a master integrand basis, we emphasize the importance of choosing, intelligently, spanning sets of cuts, and writing down integrand numerators dual to these cuts that are diagonal -- or prescriptive -- with regard to these choices, to highlight the conceptual and technical simplifications arising therefrom. |
hep-th/9605118 | Massimo Porrati | A. Giveon and M. Porrati | Aspects of Space-Time Dualities | 10 pages, plain Latex. Minor misprint corrected | Phys.Lett. B385 (1996) 81-86 | 10.1016/0370-2693(96)00826-X | NYU-TH-95/12/01, CERN-TH/95-346 | hep-th | null | Duality groups of Abelian gauge theories on four manifolds and their
reduction to two dimensions are considered. The duality groups include elements
that relate different space-times in addition to relating different
gauge-coupling matrices. We interpret (some of) such dualities as the
geometrical symmetries of compactified theories in higher dimensions. In
particular, we consider compactifications of a (self-dual) 2-form in 6-D, and
compactifications of a self-dual 4-form in 10-D. Relations with a self-dual
superstring in 6-D and with the type IIB superstring are discussed.
| [
{
"created": "Thu, 16 May 1996 18:04:00 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 1996 14:39:05 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Giveon",
"A.",
""
],
[
"Porrati",
"M.",
""
]
] | Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling matrices. We interpret (some of) such dualities as the geometrical symmetries of compactified theories in higher dimensions. In particular, we consider compactifications of a (self-dual) 2-form in 6-D, and compactifications of a self-dual 4-form in 10-D. Relations with a self-dual superstring in 6-D and with the type IIB superstring are discussed. |
hep-th/0105250 | Stathis Pakis | Jerome P. Gauntlett, Nakwoo Kim, Stathis Pakis, Daniel Waldram | Membranes Wrapped on Holomorphic Curves | 22 pages, 6 figures | Phys.Rev. D65 (2002) 026003 | 10.1103/PhysRevD.65.026003 | QMUL-PH-01-04 | hep-th | null | We construct supergravity solutions dual to the twisted field theories
arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds.
The solutions are constructed in an Abelian truncation of maximal D=4 gauged
supergravity and then uplifted to D=11. For four-folds and five-folds we find
new smooth AdS/CFT examples and for all cases we analyse the nature of the
singularities that arise. Our results provide an interpretation of certain
charged topological AdS black holes. We also present the generalised
calibration two-forms for the solutions.
| [
{
"created": "Thu, 24 May 2001 15:25:36 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Pakis",
"Stathis",
""
],
[
"Waldram",
"Daniel",
""
]
] | We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity and then uplifted to D=11. For four-folds and five-folds we find new smooth AdS/CFT examples and for all cases we analyse the nature of the singularities that arise. Our results provide an interpretation of certain charged topological AdS black holes. We also present the generalised calibration two-forms for the solutions. |
2112.13878 | Miroslav Rapcak | Miroslav Rapcak | Branes, Quivers and BPS Algebras | null | null | null | null | hep-th math-ph math.AG math.KT math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lecture notes cover a brief introduction into some of the
algebro-geometric techniques used in the construction of BPS algebras. The
first section introduces the derived category of coherent sheaves as a useful
model of branes in toric Calabi-Yau three-folds. This model allows a rather
simple derivation of quiver quantum mechanics describing low-energy dynamics of
various brane systems. Vacua of such quantum mechanics can be identified with
the critical equivariant cohomology of the moduli space of quiver
representations. These are often counted by various crystal configurations.
Using correspondences in algebraic geometry, one can construct rich families of
affine-Yangian representations. We conclude with an exploration of different
algebraic structures naturally appearing in our story. The material was covered
in a 4-lecture mini-course within the Second PIMS Summer School on Algebraic
Geometry in High-Energy Physics. The text contains some new ideas, examples and
remarks that are going to be covered in detail in a joint work with Dylan
Butson.
| [
{
"created": "Mon, 27 Dec 2021 19:37:20 GMT",
"version": "v1"
}
] | 2021-12-30 | [
[
"Rapcak",
"Miroslav",
""
]
] | These lecture notes cover a brief introduction into some of the algebro-geometric techniques used in the construction of BPS algebras. The first section introduces the derived category of coherent sheaves as a useful model of branes in toric Calabi-Yau three-folds. This model allows a rather simple derivation of quiver quantum mechanics describing low-energy dynamics of various brane systems. Vacua of such quantum mechanics can be identified with the critical equivariant cohomology of the moduli space of quiver representations. These are often counted by various crystal configurations. Using correspondences in algebraic geometry, one can construct rich families of affine-Yangian representations. We conclude with an exploration of different algebraic structures naturally appearing in our story. The material was covered in a 4-lecture mini-course within the Second PIMS Summer School on Algebraic Geometry in High-Energy Physics. The text contains some new ideas, examples and remarks that are going to be covered in detail in a joint work with Dylan Butson. |
2004.14944 | Timothy J. Hollowood | Timothy J. Hollowood and S. Prem Kumar | Islands and Page Curves for Evaporating Black Holes in JT Gravity | 46 Pages, some small clarifications | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effect of a CFT shockwave on the entanglement structure of an eternal
black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a
thermal bath, is considered. The shockwave carries energy and entropy into the
black hole and heats the black hole up leading to evaporation and the eventual
recovery of equilibrium. We find an analytical description of the entire
relaxational process within the semiclassical high temperature regime. If the
shockwave is inserted around the Page time then several scenarios are possible
depending on the parameters. The Page time can be delayed or hastened and there
can be more than one transition. The final entropy saddle has a quantum
extremal surface that generically starts inside the horizon but at some later
time moves outside. In general, increased shockwave energy and slow evaporation
rate favour the extremal surface to be inside the horizon. The shockwave also
disrupts the scrambling properties of the black hole. The same analysis is then
applied to a shockwave inserted into the extremal black hole with similar
conclusions.
| [
{
"created": "Thu, 30 Apr 2020 16:49:50 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2020 13:05:19 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Jul 2020 07:39:36 GMT",
"version": "v3"
}
] | 2020-07-16 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
]
] | The effect of a CFT shockwave on the entanglement structure of an eternal black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a thermal bath, is considered. The shockwave carries energy and entropy into the black hole and heats the black hole up leading to evaporation and the eventual recovery of equilibrium. We find an analytical description of the entire relaxational process within the semiclassical high temperature regime. If the shockwave is inserted around the Page time then several scenarios are possible depending on the parameters. The Page time can be delayed or hastened and there can be more than one transition. The final entropy saddle has a quantum extremal surface that generically starts inside the horizon but at some later time moves outside. In general, increased shockwave energy and slow evaporation rate favour the extremal surface to be inside the horizon. The shockwave also disrupts the scrambling properties of the black hole. The same analysis is then applied to a shockwave inserted into the extremal black hole with similar conclusions. |
hep-th/0510060 | Christian Romelsberger | Christian Romelsberger | Counting chiral primaries in N=1 d=4 superconformal field theories | 34 pages, significant revision | Nucl.Phys. B747 (2006) 329-353 | 10.1016/j.nuclphysb.2006.03.037 | null | hep-th | null | I derive a procedure to count chiral primary states in N=1 superconformal
field theories in four dimensions. The chiral primaries are counted by putting
the N=1 field theory on S^3 X R. I also define an index that counts semi-short
multiplets of the superconformal theory. I construct N=1 supersymmetric
Lagrangians on S^3 X R for theories which are believed to flow to a conformal
fixed point in the IR. For ungauged theories I reduce the field theory to a
supersymmetric quantum mechanics, whereas for gauge theories I use chiral ring
arguments. I count chiral primaries for SU(2) SYM with three flavors and its
Seiberg dual. Those two results agree provided a new chiral ring relation
holds.
| [
{
"created": "Fri, 7 Oct 2005 19:41:57 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2005 19:57:51 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Romelsberger",
"Christian",
""
]
] | I derive a procedure to count chiral primary states in N=1 superconformal field theories in four dimensions. The chiral primaries are counted by putting the N=1 field theory on S^3 X R. I also define an index that counts semi-short multiplets of the superconformal theory. I construct N=1 supersymmetric Lagrangians on S^3 X R for theories which are believed to flow to a conformal fixed point in the IR. For ungauged theories I reduce the field theory to a supersymmetric quantum mechanics, whereas for gauge theories I use chiral ring arguments. I count chiral primaries for SU(2) SYM with three flavors and its Seiberg dual. Those two results agree provided a new chiral ring relation holds. |
1805.12349 | Sang-Heon Yi | Dongsu Bak, Chanju Kim, Sang-Heon Yi | Bulk View of Teleportation and Traversable Wormholes | 1+39 pages, 8 figures, v2:references added, typos fixed, v3: appendix
E added, minor points improved, further typos fixed | null | 10.1007/JHEP08(2018)140 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct detailed AdS$_2$ gravity solutions describing the teleportation
through a traversable wormhole sending a state from one side of the wormhole to
the other. The traversable wormhole is realized by turning on a double trace
interaction that couples the two boundaries of an eternal AdS$_2$ black hole.
The horizon radius or the entropy of the black hole is reduced consistently
with the boundary computation of the energy change, confirming the black hole
first law. To describe teleportee states traveling through the wormhole, we
construct Janus deformations which make the Hamiltonians of left-right
boundaries differ from each other by turning on exact marginal operators.
Combining explicitly the traversable wormhole solution and the teleportee
states, we present a complete bulk picture of the teleportation in the context
of ER=EPR. The traversability of the wormhole is not lost to the leading order
of the deformation parameter. We also consider solutions where the teleportee
meets the matter thrown from the other side during teleportation, in accordance
with the assertion that the bulk wormhole is experimentally observable.
| [
{
"created": "Thu, 31 May 2018 07:16:15 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jun 2018 06:16:21 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jul 2018 04:56:06 GMT",
"version": "v3"
}
] | 2018-09-26 | [
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Chanju",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We construct detailed AdS$_2$ gravity solutions describing the teleportation through a traversable wormhole sending a state from one side of the wormhole to the other. The traversable wormhole is realized by turning on a double trace interaction that couples the two boundaries of an eternal AdS$_2$ black hole. The horizon radius or the entropy of the black hole is reduced consistently with the boundary computation of the energy change, confirming the black hole first law. To describe teleportee states traveling through the wormhole, we construct Janus deformations which make the Hamiltonians of left-right boundaries differ from each other by turning on exact marginal operators. Combining explicitly the traversable wormhole solution and the teleportee states, we present a complete bulk picture of the teleportation in the context of ER=EPR. The traversability of the wormhole is not lost to the leading order of the deformation parameter. We also consider solutions where the teleportee meets the matter thrown from the other side during teleportation, in accordance with the assertion that the bulk wormhole is experimentally observable. |
0706.1231 | Chethan Krishnan | Jarah Evslin, Chethan Krishnan | The Black Di-Ring: An Inverse Scattering Construction | v3: 2 subsections added, typos fixed, more refs, journal version. v4:
a transcription error in the ADM mass fixed | Class.Quant.Grav.26:125018,2009 | 10.1088/0264-9381/26/12/125018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the inverse scattering method (ISM) to derive concentric
non-supersymmetric black rings. The approach used here is fully
five-dimensional, and has the modest advantage that it generalizes readily to
the construction of more general axi-symmetric solutions.
| [
{
"created": "Fri, 8 Jun 2007 19:48:12 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jun 2007 17:19:47 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2009 10:54:56 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Dec 2009 13:04:47 GMT",
"version": "v4"
}
] | 2009-12-15 | [
[
"Evslin",
"Jarah",
""
],
[
"Krishnan",
"Chethan",
""
]
] | We use the inverse scattering method (ISM) to derive concentric non-supersymmetric black rings. The approach used here is fully five-dimensional, and has the modest advantage that it generalizes readily to the construction of more general axi-symmetric solutions. |
hep-th/0309265 | Masashi Hamanaka | Masashi Hamanaka and Kouichi Toda | Towards Noncommutative Integrable Equations | 14 pages, LaTeX, talk given by K.T. at the fifth international
conference on Symmetry in Nonlinear Mathematical Physics, Kiev, Ukraine,
23-29 June 2003; v2: accepted for publication in the proceedings, typos
corrected, references added | EconfC0306234:404-411,2003 | null | UT-Komaba/03-17 | hep-th math-ph math.MP nlin.SI | null | We study the extension of integrable equations which possess the Lax
representations to noncommutative spaces. We construct various noncommutative
Lax equations by the Lax-pair generating technique and the Sato theory. The
Sato theory has revealed essential aspects of the integrability of commutative
soliton equations and the noncommutative extension is worth studying. We
succeed in deriving various noncommutative hierarchy equations in the framework
of the Sato theory, which is brand-new. The existence of the hierarchy would
suggest a hidden infinite-dimensional symmetry in the noncommutative Lax
equations. We finally show that a noncommutative version of Burgers equation is
completely integrable because it is linearizable via noncommutative Cole-Hopf
transformation. These results are expected to lead to the completion of the
noncommutative Sato theory.
| [
{
"created": "Tue, 30 Sep 2003 11:23:28 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2003 05:44:08 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hamanaka",
"Masashi",
""
],
[
"Toda",
"Kouichi",
""
]
] | We study the extension of integrable equations which possess the Lax representations to noncommutative spaces. We construct various noncommutative Lax equations by the Lax-pair generating technique and the Sato theory. The Sato theory has revealed essential aspects of the integrability of commutative soliton equations and the noncommutative extension is worth studying. We succeed in deriving various noncommutative hierarchy equations in the framework of the Sato theory, which is brand-new. The existence of the hierarchy would suggest a hidden infinite-dimensional symmetry in the noncommutative Lax equations. We finally show that a noncommutative version of Burgers equation is completely integrable because it is linearizable via noncommutative Cole-Hopf transformation. These results are expected to lead to the completion of the noncommutative Sato theory. |
hep-th/0506149 | Paolo Benincasa | Paolo Benincasa | Sound waves in strongly coupled non-conformal gauge theory plasma | 9 pages, talk given at 27th MRST conference, contribution to
proceedings | Int.J.Mod.Phys. A20 (2005) 6298-6306 | 10.1142/S0217751X05029320 | null | hep-th | null | Gauge/string correspondence provides an efficient method to investigate gauge
theories. In this talk we discuss the results of the paper (to appear) by P.
Benincasa, A. Buchel and A. O. Starinets, where the propagation of sound waves
is studied in a strongly coupled non-conformal gauge theory plasma. In
particular, a prediction for the speed of sound as well as for the bulk
viscosity is made for the N=2* gauge theory in the high temperature limit. As
expected, the results achieved show a deviation from the speed of sound and the
bulk viscosity for a conformal theory. It is pointed out that such results
depend on the particular gauge theory considered.
| [
{
"created": "Fri, 17 Jun 2005 16:13:30 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2005 18:14:47 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Benincasa",
"Paolo",
""
]
] | Gauge/string correspondence provides an efficient method to investigate gauge theories. In this talk we discuss the results of the paper (to appear) by P. Benincasa, A. Buchel and A. O. Starinets, where the propagation of sound waves is studied in a strongly coupled non-conformal gauge theory plasma. In particular, a prediction for the speed of sound as well as for the bulk viscosity is made for the N=2* gauge theory in the high temperature limit. As expected, the results achieved show a deviation from the speed of sound and the bulk viscosity for a conformal theory. It is pointed out that such results depend on the particular gauge theory considered. |
2007.06591 | Tom Steudtner | Tom Steudtner | General scalar renormalisation group equations at three-loop order | match published version, corrected eq.(4.5) | null | 10.1007/JHEP12(2020)012 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For arbitrary scalar QFTs in four dimensions, renormalisation group equations
of quartic and cubic interactions, mass terms, as well as field anomalous
dimensions are computed at three-loop order in the $\overline{\text{MS}}$
scheme. Utilising pre-existing literature expressions for a specific model,
loop integrals are avoided and templates for general theories are obtained. We
reiterate known four-loop expressions, and derive $\beta$ functions for scalar
masses and cubic interactions from it. As an example, the results are applied
to compute all renormalisation group equations in $U(n) \times U(n)$ scalar
theories.
| [
{
"created": "Mon, 13 Jul 2020 18:00:25 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 2020 08:04:18 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2020 13:46:37 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Feb 2021 17:23:35 GMT",
"version": "v4"
}
] | 2021-02-19 | [
[
"Steudtner",
"Tom",
""
]
] | For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $\overline{\text{MS}}$ scheme. Utilising pre-existing literature expressions for a specific model, loop integrals are avoided and templates for general theories are obtained. We reiterate known four-loop expressions, and derive $\beta$ functions for scalar masses and cubic interactions from it. As an example, the results are applied to compute all renormalisation group equations in $U(n) \times U(n)$ scalar theories. |
hep-th/0509045 | Subhankar Ray | Subhankar Ray, J. Shamanna | A Bethe Ansatz Study of Free Energy and Excitation Spectrum for Even
Spin Fateev Zamolodchikov Model | 25 pages, 4 figures | J.Math.Phys. 46 (2005) 043301 | 10.1063/1.1847708 | null | hep-th cond-mat.stat-mech math-ph math.MP | null | A Bethe Ansatz study of a self dual Z_N spin model is undertaken for even
spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE)
involving zeroes of two families of transfer matrices. A numerical study on
finite size lattices is done for identification of elementary excitations over
the Ferromagnetic and Antiferromagnetic ground states. The free energies for
both Ferromagnetic and Antiferromagnetic ground states and dispersion relation
for elementary excitations are found.
| [
{
"created": "Tue, 6 Sep 2005 07:15:29 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Ray",
"Subhankar",
""
],
[
"Shamanna",
"J.",
""
]
] | A Bethe Ansatz study of a self dual Z_N spin model is undertaken for even spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size lattices is done for identification of elementary excitations over the Ferromagnetic and Antiferromagnetic ground states. The free energies for both Ferromagnetic and Antiferromagnetic ground states and dispersion relation for elementary excitations are found. |
1009.5486 | Adi Armoni | Adi Armoni, Chris P. Korthals Altes, Agostino Patella | Domain Walls and Metastable Vacua in Hot Orientifold Field Theories | 29 pages, 4 figures. v2: minor changes in the introduction section.
to appear in JHEP | JHEP 1012:004,2010 | 10.1007/JHEP12(2010)004 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider "Orientifold field theories", namely SU(N) gauge theories with
Dirac fermions in the two-index representation at high temperature. When N is
even these theories exhibit a spontaneously broken Z2 centre symmetry. We study
aspects of the domain wall that interpolates between the two vacua of the
theory. In particular we calculate its tension to two-loop order. We compare
its tension to the corresponding domain wall in a SU(N) gauge theory with
adjoint fermions and find an agreement at large-N, as expected from planar
equivalence between the two theories. Moreover, we provide a non-perturbative
proof for the coincidence of the tensions at large-N. We also discuss the
vacuum structure of the theory when the fermion is given a large mass and argue
that there exist N-2 metastable vacua. We calculate the lifetime of those vacua
in the thin wall approximation.
| [
{
"created": "Tue, 28 Sep 2010 08:34:53 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Nov 2010 20:37:45 GMT",
"version": "v2"
}
] | 2010-12-09 | [
[
"Armoni",
"Adi",
""
],
[
"Altes",
"Chris P. Korthals",
""
],
[
"Patella",
"Agostino",
""
]
] | We consider "Orientifold field theories", namely SU(N) gauge theories with Dirac fermions in the two-index representation at high temperature. When N is even these theories exhibit a spontaneously broken Z2 centre symmetry. We study aspects of the domain wall that interpolates between the two vacua of the theory. In particular we calculate its tension to two-loop order. We compare its tension to the corresponding domain wall in a SU(N) gauge theory with adjoint fermions and find an agreement at large-N, as expected from planar equivalence between the two theories. Moreover, we provide a non-perturbative proof for the coincidence of the tensions at large-N. We also discuss the vacuum structure of the theory when the fermion is given a large mass and argue that there exist N-2 metastable vacua. We calculate the lifetime of those vacua in the thin wall approximation. |
hep-th/0611051 | Motomu Tsuda | Kazunari Shima and Motomu Tsuda | On Yukawa and mass terms in nonlinear supersymmetry equivalent
renormarizable theory | 8 pages, Latex | Mod.Phys.Lett.A22:1085-1090,2007 | 10.1142/S0217732307023390 | null | hep-th | null | We show explicitly in D = 2 that N = 2 nonlinear supersymmetric (SUSY)
Volkov-Akulov model is equivalent to a spontaneously broken N = 2 linear SUSY
interacting theory containing the ordinary Yukawa interactions and mass terms,
which is renormalizable, by using SUSY invariant relations.
| [
{
"created": "Sun, 5 Nov 2006 04:54:12 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2006 05:44:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We show explicitly in D = 2 that N = 2 nonlinear supersymmetric (SUSY) Volkov-Akulov model is equivalent to a spontaneously broken N = 2 linear SUSY interacting theory containing the ordinary Yukawa interactions and mass terms, which is renormalizable, by using SUSY invariant relations. |
0710.1568 | Arutyunov Gleb E | Gleb Arutyunov and Sergey Frolov | On String S-matrix, Bound States and TBA | 77 pages, 6 figures, v2: the statement about the periodicity
condition for mirror fermions corrected; typos corrected; references added,
v3: misprints corrected | JHEP 0712:024,2007 | 10.1088/1126-6708/2007/12/024 | ITP-UU-07-50, SPIN-07-37, TCDMATH 07-15 | hep-th | null | The study of finite J effects for the light-cone AdS superstring by means of
the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d
theory which we call the mirror model. It is obtained from the original string
model by the double Wick rotation. The S-matrices describing the scattering of
physical excitations in the string and mirror models are related to each other
by an analytic continuation. We show that the unitarity requirement for the
mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The
resulting string S-matrix S(z_1,z_2) satisfies the generalized unitarity
condition and, up to a scalar factor, is a meromorphic function on the elliptic
curve associated to each variable z. The double Wick rotation is then
accomplished by shifting the variables z by quarter of the imaginary period of
the torus. We discuss the apparent bound states of the string and mirror
models, and show that depending on a choice of the physical region there are
one, two or 2^{M-1} solutions of the M-particle bound state equations sharing
the same conserved charges. For very large but finite values of J, most of
these solutions, however, exhibit various signs of pathological behavior. In
particular, they might receive a finite J correction to their energy which is
complex, or the energy correction might exceed corrections arising due to
finite J modifications of the Bethe equations thus making the asymptotic Bethe
ansatz inapplicable.
| [
{
"created": "Mon, 8 Oct 2007 14:53:59 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2007 13:09:41 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Dec 2007 14:33:39 GMT",
"version": "v3"
}
] | 2009-06-10 | [
[
"Arutyunov",
"Gleb",
""
],
[
"Frolov",
"Sergey",
""
]
] | The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by the double Wick rotation. The S-matrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation. We show that the unitarity requirement for the mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The resulting string S-matrix S(z_1,z_2) satisfies the generalized unitarity condition and, up to a scalar factor, is a meromorphic function on the elliptic curve associated to each variable z. The double Wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus. We discuss the apparent bound states of the string and mirror models, and show that depending on a choice of the physical region there are one, two or 2^{M-1} solutions of the M-particle bound state equations sharing the same conserved charges. For very large but finite values of J, most of these solutions, however, exhibit various signs of pathological behavior. In particular, they might receive a finite J correction to their energy which is complex, or the energy correction might exceed corrections arising due to finite J modifications of the Bethe equations thus making the asymptotic Bethe ansatz inapplicable. |
2405.03938 | Yi Yang | Sheng-Hong Lai, Jen-Chi Lee, and Yi Yang | The stringy scaling loop expansion and stringy scaling violation | 25 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We propose a systematic approximation scheme to calculate general $n$-point
$HSSA$ of open bosonic string theory. This stringy scaling loop expansion
contains finite number of vacuum diagram terms at each loop order of scattering
energy due to a vacuum diagram contraint and a topological graph constraint. In
addition, we calculate coefficient and give the vacuum diagram representation
and its Feynman rules for each term in the expansion of the $HSSA$. As an
application to extending our previous calculation of $n$-point leading order
stringy scaling behavior of $HSSA$, we explicitly calculate some examples of
$4$-point next to leading order stringy scaling violation terms.
| [
{
"created": "Tue, 7 May 2024 01:55:52 GMT",
"version": "v1"
}
] | 2024-05-08 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Yang",
"Yi",
""
]
] | We propose a systematic approximation scheme to calculate general $n$-point $HSSA$ of open bosonic string theory. This stringy scaling loop expansion contains finite number of vacuum diagram terms at each loop order of scattering energy due to a vacuum diagram contraint and a topological graph constraint. In addition, we calculate coefficient and give the vacuum diagram representation and its Feynman rules for each term in the expansion of the $HSSA$. As an application to extending our previous calculation of $n$-point leading order stringy scaling behavior of $HSSA$, we explicitly calculate some examples of $4$-point next to leading order stringy scaling violation terms. |
1006.4678 | Francesco Toppan | Marcelo Gonzales, Sadi Khodaee and Francesco Toppan | On non-minimal N=4 supermultiplets in 1D and their associated
sigma-models | 24 pages, 6 figures | J.Math.Phys.52:013514,2011 | 10.1063/1.3533761 | CBPF-NF-001/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the non-minimal linear representations of the N=4 Extended
Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields.
Inequivalent representations are specified by the mass-dimension of the fields
and the connectivity of the associated graphs. The oxidation to minimal N=5
linear representations is given. Two types of N=4 sigma-models based on
non-minimal representations are obtained: the resulting off-shell actions are
either manifestly invariant or depend on a constrained prepotential. The
connectivity properties of the graphs play a decisive role in discriminating
inequivalent actions. These results find application in partial breaking of
supersymmetric theories.
| [
{
"created": "Thu, 24 Jun 2010 03:26:13 GMT",
"version": "v1"
}
] | 2011-07-26 | [
[
"Gonzales",
"Marcelo",
""
],
[
"Khodaee",
"Sadi",
""
],
[
"Toppan",
"Francesco",
""
]
] | We construct the non-minimal linear representations of the N=4 Extended Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields. Inequivalent representations are specified by the mass-dimension of the fields and the connectivity of the associated graphs. The oxidation to minimal N=5 linear representations is given. Two types of N=4 sigma-models based on non-minimal representations are obtained: the resulting off-shell actions are either manifestly invariant or depend on a constrained prepotential. The connectivity properties of the graphs play a decisive role in discriminating inequivalent actions. These results find application in partial breaking of supersymmetric theories. |
1106.5011 | She-Sheng Xue | Remo Ruffini and She-Sheng Xue | Electron-positron pairs production in a macroscopic charged core | 14 pages 2 figures | Phys. Lett. B 696 (2011) 416-412 | 10.1016/j.physletb.2010.12.061 | null | hep-th astro-ph.HE quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical and semi-classical energy states of relativistic electrons bounded
by a massive and charged core with the charge-mass-radio Q/M and macroscopic
radius R_c are discussed. We show that the energies of semi-classical (bound)
states can be much smaller than the negative electron mass-energy (-mc^2), and
energy-level crossing to negative energy continuum occurs. Electron-positron
pair production takes place by quantum tunneling, if these bound states are not
occupied. Electrons fill into these bound states and positrons go to infinity.
We explicitly calculate the rate of pair-production, and compare it with the
rates of electron-positron production by the Sauter-Euler-Heisenberg-Schwinger
in a constant electric field. In addition, the pair-production rate for the
electro-gravitational balance ratio Q/M = 10^{-19} is much larger than the
pair-production rate due to the Hawking processes.
| [
{
"created": "Fri, 24 Jun 2011 16:53:27 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Ruffini",
"Remo",
""
],
[
"Xue",
"She-Sheng",
""
]
] | Classical and semi-classical energy states of relativistic electrons bounded by a massive and charged core with the charge-mass-radio Q/M and macroscopic radius R_c are discussed. We show that the energies of semi-classical (bound) states can be much smaller than the negative electron mass-energy (-mc^2), and energy-level crossing to negative energy continuum occurs. Electron-positron pair production takes place by quantum tunneling, if these bound states are not occupied. Electrons fill into these bound states and positrons go to infinity. We explicitly calculate the rate of pair-production, and compare it with the rates of electron-positron production by the Sauter-Euler-Heisenberg-Schwinger in a constant electric field. In addition, the pair-production rate for the electro-gravitational balance ratio Q/M = 10^{-19} is much larger than the pair-production rate due to the Hawking processes. |
1306.4381 | David Andriot | David Andriot, Andre Betz | \beta-supergravity: a ten-dimensional theory with non-geometric fluxes,
and its geometric framework | v3: typos corrected, published version | null | 10.1007/JHEP12(2013)083 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a ten-dimensional theory, named \beta-supergravity, that contains
non-geometric fluxes and could uplift some four-dimensional gauged
supergravities. Building on earlier work, we study here its NSNS sector, where
Q- and R-fluxes are precisely identified. Interestingly, the Q-flux is captured
in an analogue of the Levi-Civita spin connection, giving rise to a second
curvature scalar. We reproduce the ten-dimensional Lagrangian using the
Generalized Geometry formalism; this provides us with enlightening
interpretations of the new structures. Then, we derive the equations of motion
of our theory, and finally discuss further aspects: the dimensional reduction
to four dimensions and comparison to gauged supergravities, the obtention of
ten-dimensional purely NSNS solutions, the extensions to other sectors and new
objects, the supergravity limit, and eventually the symmetries, in particular
the \beta gauge transformation. We also introduce the related notion of a
generalized cotangent bundle.
| [
{
"created": "Tue, 18 Jun 2013 22:38:13 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2013 14:55:37 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Jan 2014 10:09:44 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Andriot",
"David",
""
],
[
"Betz",
"Andre",
""
]
] | We present a ten-dimensional theory, named \beta-supergravity, that contains non-geometric fluxes and could uplift some four-dimensional gauged supergravities. Building on earlier work, we study here its NSNS sector, where Q- and R-fluxes are precisely identified. Interestingly, the Q-flux is captured in an analogue of the Levi-Civita spin connection, giving rise to a second curvature scalar. We reproduce the ten-dimensional Lagrangian using the Generalized Geometry formalism; this provides us with enlightening interpretations of the new structures. Then, we derive the equations of motion of our theory, and finally discuss further aspects: the dimensional reduction to four dimensions and comparison to gauged supergravities, the obtention of ten-dimensional purely NSNS solutions, the extensions to other sectors and new objects, the supergravity limit, and eventually the symmetries, in particular the \beta gauge transformation. We also introduce the related notion of a generalized cotangent bundle. |
0807.1100 | Yuji Tachikawa | Juan Maldacena, Dario Martelli, and Yuji Tachikawa | Comments on string theory backgrounds with non-relativistic conformal
symmetry | 51 pages. v5: New appendix F added on simple scaling properties of
thermodynamic quantities | JHEP 0810:072,2008 | 10.1088/1126-6708/2008/10/072 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider non-relativistic conformal quantum mechanical theories that arise
by doing discrete light cone quantization of field theories. If the field
theory has a gravity dual, then the conformal quantum mechanical theory can
have a gravity dual description in a suitable finite temperature and finite
density regime. Using this we compute the thermodynamic properties of the
system. We give an explicit example where we display both the conformal quantum
mechanical theory as well as the gravity dual. We also discuss the string
theory embedding of certain backgrounds with non-relativistic conformal
symmetry that were recently discussed. Using this, we construct finite
temperature and finite density solutions, with asymptotic non-relativistic
conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations
of type IIB supergravity to a five dimensional theory with massive vector
fields.
| [
{
"created": "Mon, 7 Jul 2008 20:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2008 19:57:51 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Aug 2008 21:28:33 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Oct 2008 17:24:59 GMT",
"version": "v4"
},
{
"created": "Tue, 18 Nov 2008 15:51:59 GMT",
"version": "v5"
}
] | 2010-04-06 | [
[
"Maldacena",
"Juan",
""
],
[
"Martelli",
"Dario",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal quantum mechanical theory can have a gravity dual description in a suitable finite temperature and finite density regime. Using this we compute the thermodynamic properties of the system. We give an explicit example where we display both the conformal quantum mechanical theory as well as the gravity dual. We also discuss the string theory embedding of certain backgrounds with non-relativistic conformal symmetry that were recently discussed. Using this, we construct finite temperature and finite density solutions, with asymptotic non-relativistic conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations of type IIB supergravity to a five dimensional theory with massive vector fields. |
hep-th/9401080 | Leonid Bogdanov | L.V. Bogdanov (International Institute for Nonlinear Sciences, the
Russian branch) | Generic solutions for some integrable lattice equations | The text of the talk at NEEDS-93 conference, Gallipoli, Italy,
September-93, LaTeX, 8 pages. Several typos and minor errors are corrected | Theor.Math.Phys. 99 (1994) 505-510; Teor.Mat.Fiz. 99N2 (1994)
177-184 | 10.1007/BF01016131 | null | hep-th nlin.SI solv-int | null | We derive the expressions for $\psi$-functions and generic solutions of
lattice principal chiral equations, lattice KP hierarchy and hierarchy
including lattice N-wave type equations. $\tau$-function of $n$ free fermions
plays fundamental role in this context. Miwa's coordinates in our case appear
as the lattice parameters.
| [
{
"created": "Mon, 17 Jan 1994 14:30:30 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 1994 17:30:13 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Bogdanov",
"L. V.",
"",
"International Institute for Nonlinear Sciences, the\n Russian branch"
]
] | We derive the expressions for $\psi$-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice N-wave type equations. $\tau$-function of $n$ free fermions plays fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters. |
hep-th/9111056 | Steve Giddings | C. Callan, S. Giddings, J. Harvey and A. Strominger | Evanescent Black Holes | 14 pages | Phys.Rev.D45:1005-1009,1992 | 10.1103/PhysRevD.45.R1005 | null | hep-th | null | A renormalizable theory of quantum gravity coupled to a dilaton and conformal
matter in two space-time dimensions is analyzed. The theory is shown to be
exactly solvable classically. Included among the exact classical solutions are
configurations describing the formation of a black hole by collapsing matter.
The problem of Hawking radiation and backreaction of the metric is analyzed to
leading order in a $1/N$ expansion, where $N$ is the number of matter fields.
The results suggest that the collapsing matter radiates away all of its energy
before an event horizon has a chance to form, and black holes thereby disappear
from the quantum mechanical spectrum. It is argued that the matter
asymptotically approaches a zero-energy ``bound state'' which can carry global
quantum numbers and that a unitary $S$-matrix including such states should
exist.
| [
{
"created": "Thu, 28 Nov 1991 02:55:05 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Callan",
"C.",
""
],
[
"Giddings",
"S.",
""
],
[
"Harvey",
"J.",
""
],
[
"Strominger",
"A.",
""
]
] | A renormalizable theory of quantum gravity coupled to a dilaton and conformal matter in two space-time dimensions is analyzed. The theory is shown to be exactly solvable classically. Included among the exact classical solutions are configurations describing the formation of a black hole by collapsing matter. The problem of Hawking radiation and backreaction of the metric is analyzed to leading order in a $1/N$ expansion, where $N$ is the number of matter fields. The results suggest that the collapsing matter radiates away all of its energy before an event horizon has a chance to form, and black holes thereby disappear from the quantum mechanical spectrum. It is argued that the matter asymptotically approaches a zero-energy ``bound state'' which can carry global quantum numbers and that a unitary $S$-matrix including such states should exist. |
hep-th/0402205 | Anupam Mazumdar | Robert Brandenberger and Anupam Mazumdar | Dynamical Relaxation of the Cosmological Constant and Matter Creation in
the Universe | 6 pages | JCAP 0408 (2004) 015 | 10.1088/1475-7516/2004/08/015 | null | hep-th astro-ph gr-qc hep-ph | null | In this Letter we discuss the issues of the graceful exit from inflation and
of matter creation in the context of a recent scenario \cite{RHBrev} in which
the back-reaction of long wavelength cosmological perturbations induces a
negative contribution to the cosmological constant and leads to a dynamical
relaxation of the bare cosmological constant. The initially large cosmological
constant gives rise to primordial inflation, during which cosmological
perturbations are stretched beyond the Hubble radius. The cumulative effect of
the long wavelength fluctuations back-reacts on the background geometry in a
form which corresponds to the addition of a negative effective cosmological
constant to the energy-momentum tensor. In the absence of an effective scalar
field driving inflation, whose decay can reheat the Universe, the challenge is
to find a mechanism which produces matter at the end of the relaxation process.
In this Letter, we point out that the decay of a condensate representing the
order parameter for a ``flat'' direction in the field theory moduli space can
naturally provide a matter generation mechanism. The order parameter is
displaced from its vacuum value by thermal or quantum fluctuations, it is
frozen until the Hubble constant drops to a sufficiently low value, and then
begins to oscillate about its ground state. During the period of oscillation it
can decay into Standard Model particles similar to how the inflaton decays in
scalar-field-driven models of inflation.
| [
{
"created": "Wed, 25 Feb 2004 16:53:51 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Brandenberger",
"Robert",
""
],
[
"Mazumdar",
"Anupam",
""
]
] | In this Letter we discuss the issues of the graceful exit from inflation and of matter creation in the context of a recent scenario \cite{RHBrev} in which the back-reaction of long wavelength cosmological perturbations induces a negative contribution to the cosmological constant and leads to a dynamical relaxation of the bare cosmological constant. The initially large cosmological constant gives rise to primordial inflation, during which cosmological perturbations are stretched beyond the Hubble radius. The cumulative effect of the long wavelength fluctuations back-reacts on the background geometry in a form which corresponds to the addition of a negative effective cosmological constant to the energy-momentum tensor. In the absence of an effective scalar field driving inflation, whose decay can reheat the Universe, the challenge is to find a mechanism which produces matter at the end of the relaxation process. In this Letter, we point out that the decay of a condensate representing the order parameter for a ``flat'' direction in the field theory moduli space can naturally provide a matter generation mechanism. The order parameter is displaced from its vacuum value by thermal or quantum fluctuations, it is frozen until the Hubble constant drops to a sufficiently low value, and then begins to oscillate about its ground state. During the period of oscillation it can decay into Standard Model particles similar to how the inflaton decays in scalar-field-driven models of inflation. |
hep-th/9708028 | Osamu Abe | O. Abe and O. Tabata (Hokkaido U. of Educ., Asahikawa Campus) | Can a gravitational wave and a magnetic monopole coexist? | 10 pages, LaTeX. To appear in Modern Physics Letters A | Mod.Phys.Lett. A12 (1997) 3009-3016 | 10.1142/S0217732397003137 | HUEAP-011 | hep-th gr-qc | null | We investigate the behavior of small perturbations around the Kaluza-Klein
monopole in the five dimensional space-time. We find that the even parity
gravitational wave does not propagate in the five dimensional space-time with
Kaluza-Klein monopole provided that the gravitational wave is constant in the
fifth direction. We conclude that a gravitational wave and a U(1) magnetic
monopole do not coexist in five dimensional Kaluza-Klein spacetime.
| [
{
"created": "Wed, 6 Aug 1997 05:11:22 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 1997 23:38:40 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Abe",
"O.",
"",
"Hokkaido U. of Educ., Asahikawa Campus"
],
[
"Tabata",
"O.",
"",
"Hokkaido U. of Educ., Asahikawa Campus"
]
] | We investigate the behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time. We find that the even parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole provided that the gravitational wave is constant in the fifth direction. We conclude that a gravitational wave and a U(1) magnetic monopole do not coexist in five dimensional Kaluza-Klein spacetime. |
hep-th/0405179 | She-Sheng Xue | She-Sheng Xue | Gravitational instanton, inflation and cosmological constant | 9 pages and 2 figures | J.Korean Phys.Soc. 49 (2006) S759-S763 | null | null | hep-th | null | Quantum fluctuation of unstable modes about gravitational instantons causes
the instability of flat space at finite temperature, leading to the spontaneous
process of nucleating quantum black holes. The density of vacuum energy-gain in
such process gives the cosmological term in the Einstein equation. This
naturally results in the inflationary phase of Early Universe. While the
reheating phase is attributed to the Hawking radiation of these quantum black
holes. In the Standard cosmology era, this cosmological term depends on the
reheating temperature and asymptotically approaches to the cosmological
constant in matter domination phase, consistently with current observations.
| [
{
"created": "Thu, 20 May 2004 16:25:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Xue",
"She-Sheng",
""
]
] | Quantum fluctuation of unstable modes about gravitational instantons causes the instability of flat space at finite temperature, leading to the spontaneous process of nucleating quantum black holes. The density of vacuum energy-gain in such process gives the cosmological term in the Einstein equation. This naturally results in the inflationary phase of Early Universe. While the reheating phase is attributed to the Hawking radiation of these quantum black holes. In the Standard cosmology era, this cosmological term depends on the reheating temperature and asymptotically approaches to the cosmological constant in matter domination phase, consistently with current observations. |
hep-th/9509149 | Albion Lawrence | Albion Lawrence and Emil Martinec (University of Chicago, Enrico Fermi
Institute) | String field theory in curved spacetime and the resolution of spacelike
singularities | Some minor errors corrected; version to be published in Class. Quant.
Grav.; standard LaTeX, uses epsf.tex, 44 pages, 4 figures | Class.Quant.Grav.13:63-96,1996 | 10.1088/0264-9381/13/1/007 | EFI-95-62 | hep-th gr-qc | null | We attempt to understand the fate of spacelike gravitational singularities in
string theory via the quantum stress tensor for string matter in a fixed
background. We first approximate the singularity with a homogeneous anisotropic
background and review the minisuperspace equations describing the evolution of
the scale factors and the dilaton. We then review and discuss the behavior of
large strings in such models. In a simple model which expands isotropically for
a finite period of time we compute the number density of strings produced by
quantum pair production and find that this number, and thus the stress tensor,
becomes infinite when the Hubble volume of the expansion exceeds the string
scale, in a manner reminiscent of the Hagedorn transition. Based on this
calculation we argue that either the region near the singularity undergoes a
phase transition when the density reaches the order of a string mass per string
volume, or that the backreaction of the produced string matter dramatically
modifies the geometry.
| [
{
"created": "Tue, 26 Sep 1995 20:59:43 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 1995 17:32:01 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Lawrence",
"Albion",
"",
"University of Chicago, Enrico Fermi\n Institute"
],
[
"Martinec",
"Emil",
"",
"University of Chicago, Enrico Fermi\n Institute"
]
] | We attempt to understand the fate of spacelike gravitational singularities in string theory via the quantum stress tensor for string matter in a fixed background. We first approximate the singularity with a homogeneous anisotropic background and review the minisuperspace equations describing the evolution of the scale factors and the dilaton. We then review and discuss the behavior of large strings in such models. In a simple model which expands isotropically for a finite period of time we compute the number density of strings produced by quantum pair production and find that this number, and thus the stress tensor, becomes infinite when the Hubble volume of the expansion exceeds the string scale, in a manner reminiscent of the Hagedorn transition. Based on this calculation we argue that either the region near the singularity undergoes a phase transition when the density reaches the order of a string mass per string volume, or that the backreaction of the produced string matter dramatically modifies the geometry. |
1106.4305 | Andrei Mironov | P. Dunin-Barkowski, A. Mironov, A. Morozov, A. Sleptsov and A. Smirnov | Superpolynomials for toric knots from evolution induced by cut-and-join
operators | 23 pages + Tables (51 pages) | JHEP 03 (2013) 021 | 10.1007/JHEP03(2013)021 | FIAN/TD-10/11; ITEP/TH-21/11 | hep-th math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The colored HOMFLY polynomials, which describe Wilson loop averages in
Chern-Simons theory, possess an especially simple representation for torus
knots, which begins from quantum R-matrix and ends up with a trivially-looking
split W representation familiar from character calculus applications to matrix
models and Hurwitz theory. Substitution of MacDonald polynomials for characters
in these formulas provides a very simple description of "superpolynomials",
much simpler than the recently studied alternative which deforms relation to
the WZNW theory and explicitly involves the Littlewood-Richardson coefficients.
A lot of explicit expressions are presented for different representations
(Young diagrams), many of them new. In particular, we provide the
superpolynomial P_[1]^[m,km\pm 1] for arbitrary m and k. The procedure is not
restricted to the fundamental (all antisymmetric) representations and the torus
knots, still in these cases some subtleties persist.
| [
{
"created": "Tue, 21 Jun 2011 19:55:57 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2012 16:54:56 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Aug 2012 10:58:37 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Dec 2016 18:30:44 GMT",
"version": "v4"
}
] | 2016-12-07 | [
[
"Dunin-Barkowski",
"P.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Smirnov",
"A.",
""
]
] | The colored HOMFLY polynomials, which describe Wilson loop averages in Chern-Simons theory, possess an especially simple representation for torus knots, which begins from quantum R-matrix and ends up with a trivially-looking split W representation familiar from character calculus applications to matrix models and Hurwitz theory. Substitution of MacDonald polynomials for characters in these formulas provides a very simple description of "superpolynomials", much simpler than the recently studied alternative which deforms relation to the WZNW theory and explicitly involves the Littlewood-Richardson coefficients. A lot of explicit expressions are presented for different representations (Young diagrams), many of them new. In particular, we provide the superpolynomial P_[1]^[m,km\pm 1] for arbitrary m and k. The procedure is not restricted to the fundamental (all antisymmetric) representations and the torus knots, still in these cases some subtleties persist. |
1603.04078 | C Furey | C. Furey | Charge quantization from a number operator | 6 pages, 2 figures; v2 reworded a paragraph in the introduction,
updated references | Phys.Lett.B, 742 (2015), pp. 195-199 | 10.1016/j.physletb.2015.01.023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explain how an unexpected algebraic structure, the division algebras, can
be seen to underlie a generation of quarks and leptons. From this new vantage
point, electrons and quarks are simply excitations from the neutrino, which
formally plays the role of a vacuum state. Using the ladder operators which
exist within the system, we build a number operator in the usual way. It turns
out that this number operator, divided by 3, mirrors the behaviour of electric
charge. As a result, we see that electric charge is quantized because number
operators can only take on integer values.
Finally, we show that a simple hermitian form, built from these ladder
operators, results uniquely in the nine generators of $SU(3)_c$ and
$U(1)_{em}$. This gives a direct route to the two unbroken gauge symmetries of
the standard model.
| [
{
"created": "Sun, 13 Mar 2016 21:26:10 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2018 09:26:22 GMT",
"version": "v2"
}
] | 2018-07-06 | [
[
"Furey",
"C.",
""
]
] | We explain how an unexpected algebraic structure, the division algebras, can be seen to underlie a generation of quarks and leptons. From this new vantage point, electrons and quarks are simply excitations from the neutrino, which formally plays the role of a vacuum state. Using the ladder operators which exist within the system, we build a number operator in the usual way. It turns out that this number operator, divided by 3, mirrors the behaviour of electric charge. As a result, we see that electric charge is quantized because number operators can only take on integer values. Finally, we show that a simple hermitian form, built from these ladder operators, results uniquely in the nine generators of $SU(3)_c$ and $U(1)_{em}$. This gives a direct route to the two unbroken gauge symmetries of the standard model. |
2103.00985 | Constantinos Papageorgakis | Prarit Agarwal, Enrico Andriolo, Gergely K\'antor, Constantinos
Papageorgakis | Macdonald Indices for Four-dimensional $\mathcal N=3$ Theories | 5 pages, 1 figure, 3 supplementary Mathematica notebooks; v2: minor
corrections, v3: notebook links to ope.math and OPEdefs packages fixed and
new results summary notebook included | Phys. Rev. D 103, 121701 (2021) | 10.1103/PhysRevD.103.L121701 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We brute-force evaluate the vacuum character for $\mathcal N=2$ vertex
operator algebras labelled by crystallographic complex reflection groups
$G(k,1,1)=\mathbb Z_k$, $k=3,4,6$, and $G(3,1,2)$. For $\mathbb Z_{3,4}$ and
$G(3,1,2)$ these vacuum characters have been conjectured to respectively
reproduce the Macdonald limit of the superconformal index for rank one and rank
two S-fold $\mathcal N=3$ theories in four dimensions. For the $\mathbb Z_3$
case, and in the limit where the Macdonald index reduces to the Schur index, we
find agreement with predictions from the literature.
| [
{
"created": "Mon, 1 Mar 2021 13:18:07 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2021 12:59:03 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Dec 2021 22:57:24 GMT",
"version": "v3"
}
] | 2021-12-15 | [
[
"Agarwal",
"Prarit",
""
],
[
"Andriolo",
"Enrico",
""
],
[
"Kántor",
"Gergely",
""
],
[
"Papageorgakis",
"Constantinos",
""
]
] | We brute-force evaluate the vacuum character for $\mathcal N=2$ vertex operator algebras labelled by crystallographic complex reflection groups $G(k,1,1)=\mathbb Z_k$, $k=3,4,6$, and $G(3,1,2)$. For $\mathbb Z_{3,4}$ and $G(3,1,2)$ these vacuum characters have been conjectured to respectively reproduce the Macdonald limit of the superconformal index for rank one and rank two S-fold $\mathcal N=3$ theories in four dimensions. For the $\mathbb Z_3$ case, and in the limit where the Macdonald index reduces to the Schur index, we find agreement with predictions from the literature. |
hep-th/9703110 | Ken Intriligator | O. Aharony, A. Hanany, K. Intriligator, N. Seiberg, and M.J. Strassler | Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions | 40 pages, harvmac | Nucl.Phys.B499:67-99,1997 | 10.1016/S0550-3213(97)00323-4 | RU-97-10, IASSNS-HEP-97/18 | hep-th | null | We consider general aspects of N=2 gauge theories in three dimensions,
including their multiplet structure, anomalies and non-renormalization
theorems. For U(1) gauge theories, we discuss the quantum corrections to the
moduli space, and their relation to ``mirror symmetries'' of 3d N=4 theories.
Mirror symmetry is given an interpretation in terms of vortices. For SU(N_c)
gauge groups with N_f fundamental flavors, we show that, depending on the
number of flavors, there are quantum moduli spaces of vacua with various
phenomena near the origin.
| [
{
"created": "Sat, 15 Mar 1997 18:10:08 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Aharony",
"O.",
""
],
[
"Hanany",
"A.",
""
],
[
"Intriligator",
"K.",
""
],
[
"Seiberg",
"N.",
""
],
[
"Strassler",
"M. J.",
""
]
] | We consider general aspects of N=2 gauge theories in three dimensions, including their multiplet structure, anomalies and non-renormalization theorems. For U(1) gauge theories, we discuss the quantum corrections to the moduli space, and their relation to ``mirror symmetries'' of 3d N=4 theories. Mirror symmetry is given an interpretation in terms of vortices. For SU(N_c) gauge groups with N_f fundamental flavors, we show that, depending on the number of flavors, there are quantum moduli spaces of vacua with various phenomena near the origin. |
1608.04385 | Austin Joyce | Kurt Hinterbichler, Austin Joyce | Manifest Duality for Partially Massless Higher Spins | 46 pages, 1 figure | JHEP 09 (2016) 141 | 10.1007/JHEP09(2016)141 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In four dimensions, partially massless fields of all spins and depths possess
a duality invariance akin to electric-magnetic duality. We construct
metric-like gauge invariant curvature tensors for partially massless fields of
all integer spins and depths, and show how the partially massless equations of
motion can be recovered from first order field equations and Bianchi identities
for these curvatures. This formulation displays duality in its manifestly local
and covariant form, in which it acts to interchange the field equations and
Bianchi identities.
| [
{
"created": "Mon, 15 Aug 2016 20:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Sep 2016 14:28:54 GMT",
"version": "v2"
}
] | 2016-09-26 | [
[
"Hinterbichler",
"Kurt",
""
],
[
"Joyce",
"Austin",
""
]
] | In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer spins and depths, and show how the partially massless equations of motion can be recovered from first order field equations and Bianchi identities for these curvatures. This formulation displays duality in its manifestly local and covariant form, in which it acts to interchange the field equations and Bianchi identities. |
hep-th/9409162 | Alice Rogers | Alice Rogers | Stochastic Calculus and Anticommuting Variables | 11pp, kcl-th-94-16 | null | null | null | hep-th | null | A theory of integration for anticommuting paths is described. This is
combined with standard It\^o calculus to give a geometric theory of Brownian
paths on curved supermanifolds. (Invited lecture given at meeting on `Espaces
de Lacets', Institut de Recherche Math\'ematique Advanc\'ee, Universit\'e Louis
Pasteur, Strasbourg, June 1994.)
| [
{
"created": "Tue, 27 Sep 1994 10:51:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rogers",
"Alice",
""
]
] | A theory of integration for anticommuting paths is described. This is combined with standard It\^o calculus to give a geometric theory of Brownian paths on curved supermanifolds. (Invited lecture given at meeting on `Espaces de Lacets', Institut de Recherche Math\'ematique Advanc\'ee, Universit\'e Louis Pasteur, Strasbourg, June 1994.) |
1507.04232 | Di-Lun Yang | Di-Lun Yang and Berndt M\"uller | Shear Viscosities of Photons in Strongly Coupled Plasmas | 7 pages, 5 figures, the title and context are modified, journal
version accepted by Physics Letters B | null | 10.1016/j.physletb.2016.07.034 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the shear viscosity of thermalized photons in the quark gluon
plasma (QGP) at weak coupling and $\mathcal{N}=4$ super Yang-Mills plasma
(SYMP) at both strong and weak couplings. We find that the shear viscosity due
to the photon-parton scattering up to the leading order of electromagnetic
coupling is suppressed when the coupling of the QGP/SYMP is increased, which
stems from the blue-shift of the thermal-photon spectrum at strong coupling. In
addition, the shear viscosity rapidly increases near the deconfinement
transition in a phenomenological model analogous to the QGP.
| [
{
"created": "Wed, 15 Jul 2015 14:31:05 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Nov 2015 01:58:25 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jul 2016 13:21:22 GMT",
"version": "v3"
}
] | 2016-08-24 | [
[
"Yang",
"Di-Lun",
""
],
[
"Müller",
"Berndt",
""
]
] | We investigate the shear viscosity of thermalized photons in the quark gluon plasma (QGP) at weak coupling and $\mathcal{N}=4$ super Yang-Mills plasma (SYMP) at both strong and weak couplings. We find that the shear viscosity due to the photon-parton scattering up to the leading order of electromagnetic coupling is suppressed when the coupling of the QGP/SYMP is increased, which stems from the blue-shift of the thermal-photon spectrum at strong coupling. In addition, the shear viscosity rapidly increases near the deconfinement transition in a phenomenological model analogous to the QGP. |
hep-th/0301010 | Allan Joseph Medved | A.J.M. Medved (University of Alberta) | Of Bounces, Branes and Bounds | 15 pages, Revtex; references added and very minor changes | JHEP 0305:008,2003 | 10.1088/1126-6708/2003/05/008 | null | hep-th | null | Some recent studies have considered a Randall-Sundrum-like brane world
evolving in the background of an anti-de Sitter Reissner-Nordstrom black hole.
For this scenario, it has been shown that, when the bulk charge is
non-vanishing, a singularity-free ``bounce'' universe will always be obtained.
However, for the physically relevant case of a de Sitter brane world, we have
recently argued that, from a holographic (c-theorem) perspective, such brane
worlds may not be physically viable. In the current paper, we reconsider the
validity of such models by appealing to the so-called ``causal entropy bound''.
In this framework, a paradoxical outcome is obtained: these brane worlds are
indeed holographically viable, provided that the bulk charge is not too small.
We go on to argue that this new finding is likely the more reliable one.
| [
{
"created": "Mon, 6 Jan 2003 14:01:27 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jan 2003 01:36:40 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Medved",
"A. J. M.",
"",
"University of Alberta"
]
] | Some recent studies have considered a Randall-Sundrum-like brane world evolving in the background of an anti-de Sitter Reissner-Nordstrom black hole. For this scenario, it has been shown that, when the bulk charge is non-vanishing, a singularity-free ``bounce'' universe will always be obtained. However, for the physically relevant case of a de Sitter brane world, we have recently argued that, from a holographic (c-theorem) perspective, such brane worlds may not be physically viable. In the current paper, we reconsider the validity of such models by appealing to the so-called ``causal entropy bound''. In this framework, a paradoxical outcome is obtained: these brane worlds are indeed holographically viable, provided that the bulk charge is not too small. We go on to argue that this new finding is likely the more reliable one. |
hep-th/9312029 | null | L. P. Horwitz | A Soluble Model for Scattering and Decay in Quaternionic Quantum
Mechanics II: Scattering | 13 pages, no figures, Plain Tex, IASSNS-HEP 93/51 | J.Math.Phys. 35 (1994) 2761-2771 | 10.1063/1.530484 | null | hep-th | null | In a previous paper, it was shown that a soluble model can be constructed for
the description of a decaying system in analogy to the Lee-Friedrichs model of
complex quantum theory. It is shown here that this model also provides a
soluble scattering theory, and therefore constitutes a model for a decay
scattering system. Generalized second resolvent equations are obtained for
quaternionic scattering theory. It is shown explicitly for this model, in
accordance with a general theorem of Adler, that the scattering matrix is
complex subalgebra valued. It is also shown that the method of Adler, using an
effective optical potential in the complex sector to describe the effect of the
quaternionic interactions, is equivalent to the general method of Green's
functions described here.
| [
{
"created": "Fri, 3 Dec 1993 14:18:39 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Horwitz",
"L. P.",
""
]
] | In a previous paper, it was shown that a soluble model can be constructed for the description of a decaying system in analogy to the Lee-Friedrichs model of complex quantum theory. It is shown here that this model also provides a soluble scattering theory, and therefore constitutes a model for a decay scattering system. Generalized second resolvent equations are obtained for quaternionic scattering theory. It is shown explicitly for this model, in accordance with a general theorem of Adler, that the scattering matrix is complex subalgebra valued. It is also shown that the method of Adler, using an effective optical potential in the complex sector to describe the effect of the quaternionic interactions, is equivalent to the general method of Green's functions described here. |
hep-th/0305059 | Frederic Leblond | Frederic Leblond, Amanda W. Peet | A note on the singularity theorem for supergravity SD-branes | 17 pages, 8 figures | JHEP 0404:022,2004 | 10.1088/1126-6708/2004/04/022 | null | hep-th | null | Recently, a singularity theorem for full SD-brane spacetimes was given in
hep-th/0305055. We comment on the relation between this and previous work as
well as provide a more geometric formulation interpreted as a no-go theorem. We
then point out that some setups of physical interest escape the theorem:
cosmological applications, half-SDp-branes and decaying unstable Dp-branes for
general p. We also provide indications that the space-filling full SD8-brane
(in d=10) escapes as well, because of the important role of Ramond-Ramond
fields. In any case, tachyon cosmology is not ruled out by the no-go theorem.
Lastly, we remark upon interesting directions for potential generalizations of
the theorem, and quantum corrections.
| [
{
"created": "Thu, 8 May 2003 18:03:14 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Leblond",
"Frederic",
""
],
[
"Peet",
"Amanda W.",
""
]
] | Recently, a singularity theorem for full SD-brane spacetimes was given in hep-th/0305055. We comment on the relation between this and previous work as well as provide a more geometric formulation interpreted as a no-go theorem. We then point out that some setups of physical interest escape the theorem: cosmological applications, half-SDp-branes and decaying unstable Dp-branes for general p. We also provide indications that the space-filling full SD8-brane (in d=10) escapes as well, because of the important role of Ramond-Ramond fields. In any case, tachyon cosmology is not ruled out by the no-go theorem. Lastly, we remark upon interesting directions for potential generalizations of the theorem, and quantum corrections. |
2408.03901 | Cristobal Corral | Crist\'obal Corral and Rodrigo Olea | Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes | v1: 18 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the (anti-)self-duality conditions under which the electric and
magnetic parts of the conserved charges of the dyonic Kerr-Newman-NUT-AdS
solution become equivalent. Within a holographic framework, the stress tensor
and the boundary Cotton tensor are computed from the electric/magnetic content
of the Weyl tensor. The holographic stress tensor/Cotton tensor duality is
recovered along the (anti-)self-dual curve in parameter space. We show that the
latter not only implies a duality relation for the mass but also for the
angular momentum. The partition function is computed to first order in the
saddle-point approximation and a BPS bound is obtained. The ground state of the
theory is enlarged to all the (anti-)self-dual configurations when the $SO(4)$
and $U(1)$ Pontryagin densities are introduced. We demonstrate this at the
level of the action and variations thereof.
| [
{
"created": "Wed, 7 Aug 2024 16:56:41 GMT",
"version": "v1"
}
] | 2024-08-08 | [
[
"Corral",
"Cristóbal",
""
],
[
"Olea",
"Rodrigo",
""
]
] | We study the (anti-)self-duality conditions under which the electric and magnetic parts of the conserved charges of the dyonic Kerr-Newman-NUT-AdS solution become equivalent. Within a holographic framework, the stress tensor and the boundary Cotton tensor are computed from the electric/magnetic content of the Weyl tensor. The holographic stress tensor/Cotton tensor duality is recovered along the (anti-)self-dual curve in parameter space. We show that the latter not only implies a duality relation for the mass but also for the angular momentum. The partition function is computed to first order in the saddle-point approximation and a BPS bound is obtained. The ground state of the theory is enlarged to all the (anti-)self-dual configurations when the $SO(4)$ and $U(1)$ Pontryagin densities are introduced. We demonstrate this at the level of the action and variations thereof. |
hep-th/0006221 | Esposito Giampiero | Giampiero Esposito, Alexander Yu. Kamenshchik and Klaus Kirsten | Casimir Energy in Non-Covariant Gauges | 4 pages, plain Tex, paper prepared for the QG6 parallel session on
Casimir effect at 9th Marcel Grossmann Meeting on Recent Developments in
Theoretical and Experimental General Relativity, Gravitation and Relativistic
Field Theories (MG 9), Rome, Italy, 2-8 July 2000 | null | null | DSF preprint 2000/18 | hep-th | null | The zero-point energy of a conducting spherical shell is studied by imposing
the axial gauge via path-integral methods, with boundary conditions on the
electromagnetic potential and ghost fields. The coupled modes are then found to
be the temporal and longitudinal modes for the Maxwell field. The resulting
system can be decoupled by studying a fourth-order differential equation with
boundary conditions on longitudinal modes and their second derivatives.
Complete agreement is found with a previous path-integral analysis in the
Lorenz gauge, and with Boyer's value. This investigation leads to a better
understanding of how gauge independence is achieved in quantum field theory on
backgrounds with boundary.
| [
{
"created": "Wed, 28 Jun 2000 16:15:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Kirsten",
"Klaus",
""
]
] | The zero-point energy of a conducting spherical shell is studied by imposing the axial gauge via path-integral methods, with boundary conditions on the electromagnetic potential and ghost fields. The coupled modes are then found to be the temporal and longitudinal modes for the Maxwell field. The resulting system can be decoupled by studying a fourth-order differential equation with boundary conditions on longitudinal modes and their second derivatives. Complete agreement is found with a previous path-integral analysis in the Lorenz gauge, and with Boyer's value. This investigation leads to a better understanding of how gauge independence is achieved in quantum field theory on backgrounds with boundary. |
1107.2928 | Yu Nakayama | Yu Nakayama | Gravity Dual for Cyclic Renormalization Group Flow without Conformal
Invariance | 4 pages, v2: typos corrected, references added | null | 10.1142/S0217732311036930 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a gravity dual for scale invariant but non-conformal field
theories with a cyclic renormalization group flow. A slight modification of our
construction gives a gravity dual of discretely scale invariant field theories.
The underlying gravitational theory breaks the null energy condition.
| [
{
"created": "Thu, 14 Jul 2011 20:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jul 2011 20:53:13 GMT",
"version": "v2"
}
] | 2012-02-07 | [
[
"Nakayama",
"Yu",
""
]
] | We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The underlying gravitational theory breaks the null energy condition. |
0812.0152 | Ioannis Bakas | Ioannis Bakas | Duality in linearized gravity and holography | 22 pages; a few clarifying remarks added at the end of section 6;
missing factor sin^2 \theta inserted in eqs. (6.15) and (6.20) (version to be
published in Class. Quant. Grav.) | Class.Quant.Grav.26:065013,2009 | 10.1088/0264-9381/26/6/065013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider spherical gravitational perturbations of AdS4 space-time
satisfying general boundary conditions at spatial infinity. Using the
holographic renormalization method, we compute the energy-momentum tensor and
show that it can always be cast in the form of Cotton tensor for a dual
boundary metric. In particular, axial and polar perturbations obeying the same
boundary conditions for the effective Schrodinger wave-functions exhibit an
energy-momentum/Cotton tensor duality at conformal infinity. We demonstrate
explicitly that this is holographic manifestation of the electric/magnetic
duality of linearized gravity in the bulk, which simply exchanges axial with
polar perturbations of AdS4 space-time. We note on the side that this
particular realization of gravitational duality is also valid for perturbations
near flat and dS4 space-time, depending on the value of cosmological constant.
| [
{
"created": "Sun, 30 Nov 2008 16:39:49 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2009 09:47:00 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Feb 2009 18:16:30 GMT",
"version": "v3"
}
] | 2009-03-27 | [
[
"Bakas",
"Ioannis",
""
]
] | We consider spherical gravitational perturbations of AdS4 space-time satisfying general boundary conditions at spatial infinity. Using the holographic renormalization method, we compute the energy-momentum tensor and show that it can always be cast in the form of Cotton tensor for a dual boundary metric. In particular, axial and polar perturbations obeying the same boundary conditions for the effective Schrodinger wave-functions exhibit an energy-momentum/Cotton tensor duality at conformal infinity. We demonstrate explicitly that this is holographic manifestation of the electric/magnetic duality of linearized gravity in the bulk, which simply exchanges axial with polar perturbations of AdS4 space-time. We note on the side that this particular realization of gravitational duality is also valid for perturbations near flat and dS4 space-time, depending on the value of cosmological constant. |
hep-th/0701008 | Ken-ichi Ohshima | Ken-ichi Ohshima | A thermodynamical model for non-extremal black p-brane | Almost the same version as the paper appeared in Physical Review D | Phys.Rev.D76:104011,2007 | 10.1103/PhysRevD.76.104011 | UT-Komaba/06-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the correct entropy, temperature (and absorption probability) of
non-extremal black p-brane can be reproduced by a certain thermodynamical model
when maximizing its entropy. We show that the form of the model is related to
the geometrical similarity of non-extremal and near extremal black p-brane at
near horizon region, and argue about the appropriateness of the model.
| [
{
"created": "Sun, 31 Dec 2006 12:27:59 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2008 14:55:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ohshima",
"Ken-ichi",
""
]
] | We show that the correct entropy, temperature (and absorption probability) of non-extremal black p-brane can be reproduced by a certain thermodynamical model when maximizing its entropy. We show that the form of the model is related to the geometrical similarity of non-extremal and near extremal black p-brane at near horizon region, and argue about the appropriateness of the model. |
1905.00706 | Hiroshi Isono | Ignatios Antoniadis, Auttakit Chatrabhuti, Hiroshi Isono, Rob Knoops | A microscopic model for inflation from supersymmetry breaking | 39 pages, v2: typos corrected, references added, published version | null | 10.1140/epjc/s10052-019-7141-5 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have proposed recently a framework for inflation driven by supersymmetry
breaking with the inflaton being a superpartner of the goldstino, that avoids
the main problems of supergravity inflation, allowing for: naturally small
slow-roll parameters, small field initial conditions, absence of a
(pseudo)scalar companion of the inflation, and a nearby minimum with tuneable
cosmological constant. It contains a chiral multiplet charged under a gauged
R-symmetry which is restored at the maximum of the scalar potential with a
plateau where inflation takes place. The effective field theory relies on two
phenomenological parameters corresponding to corrections to the K\"ahler
potential up to second order around the origin. The first guarantees the
maximum at the origin and the second allows the tuning of the vacuum energy
between the F- and D-term contributions. Here, we provide a microscopic model
leading to the required effective theory. It is a Fayet-Iliopoulos model with
two charged chiral multiplets under a second U(1) R-symmetry coupled to
supergravity. In the Brout-Englert-Higgs phase of this U(1), the gauge field
becomes massive and can be integrated out in the limit of small supersymmetry
breaking scale. In this work, we perform this integration and we show that
there is a region of parameter space where the effective supergravity realises
our proposal of small field inflation from supersymmetry breaking consistently
with observations and with a minimum of tuneable energy that can describe the
present phase of our Universe.
| [
{
"created": "Thu, 2 May 2019 12:48:47 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jul 2019 10:26:08 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Chatrabhuti",
"Auttakit",
""
],
[
"Isono",
"Hiroshi",
""
],
[
"Knoops",
"Rob",
""
]
] | We have proposed recently a framework for inflation driven by supersymmetry breaking with the inflaton being a superpartner of the goldstino, that avoids the main problems of supergravity inflation, allowing for: naturally small slow-roll parameters, small field initial conditions, absence of a (pseudo)scalar companion of the inflation, and a nearby minimum with tuneable cosmological constant. It contains a chiral multiplet charged under a gauged R-symmetry which is restored at the maximum of the scalar potential with a plateau where inflation takes place. The effective field theory relies on two phenomenological parameters corresponding to corrections to the K\"ahler potential up to second order around the origin. The first guarantees the maximum at the origin and the second allows the tuning of the vacuum energy between the F- and D-term contributions. Here, we provide a microscopic model leading to the required effective theory. It is a Fayet-Iliopoulos model with two charged chiral multiplets under a second U(1) R-symmetry coupled to supergravity. In the Brout-Englert-Higgs phase of this U(1), the gauge field becomes massive and can be integrated out in the limit of small supersymmetry breaking scale. In this work, we perform this integration and we show that there is a region of parameter space where the effective supergravity realises our proposal of small field inflation from supersymmetry breaking consistently with observations and with a minimum of tuneable energy that can describe the present phase of our Universe. |
1506.05789 | Burkhard U.W. Schwab | Steven G. Avery, Burkhard U. W. Schwab | BMS, String Theory, and Soft Theorems | 27 pages | Phys. Rev. D 93, 026003 (2016) | 10.1103/PhysRevD.93.026003 | Brown-HET-1674 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the action of the BMS group in critical, bosonic string theory
living on a target space of the form $\mathbb{M}^{d}\times C$. Here $M^{d}$ is
$d$-dimensional (asymptotically) flat spacetime and $C$ is an arbitrary
compactification. We provide a treatment of generalized Ward--Takahashi
identities and derive consistent boundary conditions for any $d$ from string
theory considerations. Finally, we derive BMS transformations in higher
dimensional spacetimes and show that the generalized Ward--Takahashi identity
of BMS produces Weinberg's soft theorem in string theory.
| [
{
"created": "Thu, 18 Jun 2015 19:50:34 GMT",
"version": "v1"
}
] | 2016-01-13 | [
[
"Avery",
"Steven G.",
""
],
[
"Schwab",
"Burkhard U. W.",
""
]
] | We study the action of the BMS group in critical, bosonic string theory living on a target space of the form $\mathbb{M}^{d}\times C$. Here $M^{d}$ is $d$-dimensional (asymptotically) flat spacetime and $C$ is an arbitrary compactification. We provide a treatment of generalized Ward--Takahashi identities and derive consistent boundary conditions for any $d$ from string theory considerations. Finally, we derive BMS transformations in higher dimensional spacetimes and show that the generalized Ward--Takahashi identity of BMS produces Weinberg's soft theorem in string theory. |
2205.05542 | Alysson Fabio Ferrari Prof. | L. H. C. Borges and A. F. Ferrari | Semi-transparent boundaries in CPT-even Lorentz violating
electrodynamics | 13 pages, 2 figuras. To appear in NPB | null | 10.1016/j.nuclphysb.2022.115829 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some aspects of the nonbirefringent CPT-even gauge sector of the Standard
Model Extension (SME), in the vicinity of a semi-transparent mirror, are
investigated in this paper. We first consider a model where the Lorentz
symmetry breaking is caused by a single background vector $v^{\mu}$, and we
obtain perturbative results up to second order in $v^{\mu}$. Specifically, we
compute the modified propagator for the gauge field due to the presence of the
mirror and we analyze the corresponding interaction between the mirror and a
stationary point-like charge. We show that when the charge is placed in the
vicinity of the mirror, a spontaneous torque emerges, which is a new effect
with no counterpart in Maxwell electrodynamics. We also compare these results
with the corresponding ones obtained for the Lorentz violating scalar field
theory. As expected, in the limiting case of perfect mirrors, we recover the
interaction found via the image method. Finally, we discuss how we can extend
these results for a more general Lorentz violating background.
| [
{
"created": "Wed, 11 May 2022 14:38:02 GMT",
"version": "v1"
}
] | 2022-05-12 | [
[
"Borges",
"L. H. C.",
""
],
[
"Ferrari",
"A. F.",
""
]
] | Some aspects of the nonbirefringent CPT-even gauge sector of the Standard Model Extension (SME), in the vicinity of a semi-transparent mirror, are investigated in this paper. We first consider a model where the Lorentz symmetry breaking is caused by a single background vector $v^{\mu}$, and we obtain perturbative results up to second order in $v^{\mu}$. Specifically, we compute the modified propagator for the gauge field due to the presence of the mirror and we analyze the corresponding interaction between the mirror and a stationary point-like charge. We show that when the charge is placed in the vicinity of the mirror, a spontaneous torque emerges, which is a new effect with no counterpart in Maxwell electrodynamics. We also compare these results with the corresponding ones obtained for the Lorentz violating scalar field theory. As expected, in the limiting case of perfect mirrors, we recover the interaction found via the image method. Finally, we discuss how we can extend these results for a more general Lorentz violating background. |
hep-th/9504163 | Weiss Nathan | Stephanie Curnoe and Nathan Weiss | Mean Field Description of the Fractional Quantum Hall Effect Near
$\nu=1/(2k+1)$ | Revtex document; 12 pages and 4 postscript figures in a file | Int.J.Mod.Phys. A11 (1996) 329 | 10.1142/S0217751X9600016X | UBCTP-95-05 | hep-th cond-mat | null | The nature of Mean Field Solutions to the Equations of Motion of the
Chern--Simons Landau--Ginsberg (CSLG) description of the Fractional Quantum
Hall Effect (FQHE) is studied. Beginning with the conventional description of
this model at some chemical potential $\mu_0$ and magnetic field $B$
corresponding to a ``special'' filling fraction $\nu=2\pi\rho/eB=1/n$
($n=1,3,5\cdot \cdot\cdot$) we show that a deviation of $\mu$ in a finite range
around $\mu_0$ does not change the Mean Field solution and thus the mean
density of particles in the model. This result holds not only for the lowest
energy Mean Field solution but for the vortex excitations as well. The vortex
configurations do not depend on $\mu$ in a finite range about $\mu_0$ in this
model. However when $\mu-\mu_0 < \mu_{cr}^-$ (or $\mu-\mu_0>\mu_{cr}^+$) the
lowest energy Mean Field solution describes a condensate of vortices (or
antivortices). We give numerical examples of vortex and antivortex
configurations and discuss the range of $\mu$ and $\nu$ over which the system
of vortices is dilute.
| [
{
"created": "Sun, 30 Apr 1995 12:55:21 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Curnoe",
"Stephanie",
""
],
[
"Weiss",
"Nathan",
""
]
] | The nature of Mean Field Solutions to the Equations of Motion of the Chern--Simons Landau--Ginsberg (CSLG) description of the Fractional Quantum Hall Effect (FQHE) is studied. Beginning with the conventional description of this model at some chemical potential $\mu_0$ and magnetic field $B$ corresponding to a ``special'' filling fraction $\nu=2\pi\rho/eB=1/n$ ($n=1,3,5\cdot \cdot\cdot$) we show that a deviation of $\mu$ in a finite range around $\mu_0$ does not change the Mean Field solution and thus the mean density of particles in the model. This result holds not only for the lowest energy Mean Field solution but for the vortex excitations as well. The vortex configurations do not depend on $\mu$ in a finite range about $\mu_0$ in this model. However when $\mu-\mu_0 < \mu_{cr}^-$ (or $\mu-\mu_0>\mu_{cr}^+$) the lowest energy Mean Field solution describes a condensate of vortices (or antivortices). We give numerical examples of vortex and antivortex configurations and discuss the range of $\mu$ and $\nu$ over which the system of vortices is dilute. |
hep-th/9205086 | null | Stephane Durand | Fractional Superspace Formulation of Generalized Super-Virasoro Algebras | 9 pages, McGill/92-30 (small corrections and elimination of the
parameter "alpha") | Mod.Phys.Lett. A7 (1992) 2905-2912 | 10.1142/S0217732392002275 | null | hep-th | null | We present a fractional superspace formulation of the centerless
parasuper-Viraso-ro and fractional super-Virasoro algebras. These are two
different generalizations of the ordinary super-Virasoro algebra generated by
the infinitesimal diffeomorphisms of the superline. We work on the fractional
superline parametrized by $t$ and $\theta$, with $t$ a real coordinate and
$\theta$ a paragrassmann variable of order $M$ and canonical dimension $1/F$.
We further describe a more general structure labelled by $M$ and $F$ with
$M\geq F$. The case $F=2$ corresponds to the parasuper-Virasoro algebra of
order $M$, while the case $F=M$ leads to the fractional super-Virasoro algebra
of order $F$. The ordinary super-Virasoro algebra is recovered at $F=M=2$. The
connection with $q$-oscillator algebras is discussed.
| [
{
"created": "Tue, 26 May 1992 02:33:49 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 1992 02:05:16 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Durand",
"Stephane",
""
]
] | We present a fractional superspace formulation of the centerless parasuper-Viraso-ro and fractional super-Virasoro algebras. These are two different generalizations of the ordinary super-Virasoro algebra generated by the infinitesimal diffeomorphisms of the superline. We work on the fractional superline parametrized by $t$ and $\theta$, with $t$ a real coordinate and $\theta$ a paragrassmann variable of order $M$ and canonical dimension $1/F$. We further describe a more general structure labelled by $M$ and $F$ with $M\geq F$. The case $F=2$ corresponds to the parasuper-Virasoro algebra of order $M$, while the case $F=M$ leads to the fractional super-Virasoro algebra of order $F$. The ordinary super-Virasoro algebra is recovered at $F=M=2$. The connection with $q$-oscillator algebras is discussed. |
2006.05831 | Apostolos Pilaftsis | Kieran Finn, Sotirios Karamitsos and Apostolos Pilaftsis | Frame Covariant Formalism for Fermionic Theories | 31 pages, errors due to a mismatch of conventions eliminated | Eur. Phys. J. C81 (2021) 572 | 10.1140/epjc/s10052-021-09360-w | MAN/HEP/2020/004 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a frame- and reparametrisation-invariant formalism for quantum
field theories that include fermionic degrees of freedom. We achieve this using
methods of field-space covariance and the Vilkovisky-DeWitt (VDW) effective
action. We explicitly construct a field-space supermanifold on which the
quantum fields act as coordinates. We show how to define field-space tensors on
this supermanifold from the classical action that are covariant under field
reparametrisations. We then employ these tensors to equip the field-space
supermanifold with a metric, thus solving a long-standing problem concerning
the proper definition of a metric for fermionic theories. With the metric thus
defined, we use well-established field-space techniques to extend the VDW
effective action and express any fermionic theory in a frame- and
field-reparametrisation-invariant manner.
| [
{
"created": "Wed, 10 Jun 2020 13:39:36 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 2021 21:28:44 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Oct 2021 21:14:17 GMT",
"version": "v3"
}
] | 2021-10-08 | [
[
"Finn",
"Kieran",
""
],
[
"Karamitsos",
"Sotirios",
""
],
[
"Pilaftsis",
"Apostolos",
""
]
] | We present a frame- and reparametrisation-invariant formalism for quantum field theories that include fermionic degrees of freedom. We achieve this using methods of field-space covariance and the Vilkovisky-DeWitt (VDW) effective action. We explicitly construct a field-space supermanifold on which the quantum fields act as coordinates. We show how to define field-space tensors on this supermanifold from the classical action that are covariant under field reparametrisations. We then employ these tensors to equip the field-space supermanifold with a metric, thus solving a long-standing problem concerning the proper definition of a metric for fermionic theories. With the metric thus defined, we use well-established field-space techniques to extend the VDW effective action and express any fermionic theory in a frame- and field-reparametrisation-invariant manner. |
hep-th/9510034 | Konstadinos Sfetsos | Konstadinos Sfetsos | Duality and Restoration of Manifest Supersymmetry | 29 pages, harvmac, no figures. Very minor changes. Version to appear
in Nucl. Phys. B | Nucl.Phys. B463 (1996) 33-54 | 10.1016/0550-3213(96)00005-3 | THU-95/20 | hep-th | null | World-sheet and spacetime supersymmetries that are manifest in some string
backgrounds may not be so in their T-duals. Nevertheless, they always remain
symmetries of the underlying conformal field theory. In previous work the
mechanism by which T-duality destroys manifest supersymmetry and gives rise to
non-local realizations was found. We give the general conditions for a 2-dim
N=1 supersymmetric sigma-model to have non-local and hence non-manifest
extended supersymmetry. We then examine T-duality as a mechanism of restoring
manifest supersymmetry. This happens whenever appropriate combinations of
non-local parafermions of the underlying conformal field theory become local
due to non-trivial world-sheet effects. We present, in detail, an example
arising from the model SU(2)/U(1) X SL(2,R)/U(1) and obtain a new exact 4-dim
axionic instanton, that generalizes the SU(2) X U(1) semi-wormhole, and has
manifest spacetime as well as N=4 world-sheet supersymmetry. In addition,
general necessary conditions for abelian T-duality to preserve manifest N=4
world-sheet supersymmetry are derived and applied to WZW models based on
quaternionic groups. We also prove some theorems for sigma-models with
non-local N=4 world-sheet supersymmetry.
| [
{
"created": "Fri, 6 Oct 1995 22:31:51 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 1995 00:44:50 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 1996 18:20:15 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Sfetsos",
"Konstadinos",
""
]
] | World-sheet and spacetime supersymmetries that are manifest in some string backgrounds may not be so in their T-duals. Nevertheless, they always remain symmetries of the underlying conformal field theory. In previous work the mechanism by which T-duality destroys manifest supersymmetry and gives rise to non-local realizations was found. We give the general conditions for a 2-dim N=1 supersymmetric sigma-model to have non-local and hence non-manifest extended supersymmetry. We then examine T-duality as a mechanism of restoring manifest supersymmetry. This happens whenever appropriate combinations of non-local parafermions of the underlying conformal field theory become local due to non-trivial world-sheet effects. We present, in detail, an example arising from the model SU(2)/U(1) X SL(2,R)/U(1) and obtain a new exact 4-dim axionic instanton, that generalizes the SU(2) X U(1) semi-wormhole, and has manifest spacetime as well as N=4 world-sheet supersymmetry. In addition, general necessary conditions for abelian T-duality to preserve manifest N=4 world-sheet supersymmetry are derived and applied to WZW models based on quaternionic groups. We also prove some theorems for sigma-models with non-local N=4 world-sheet supersymmetry. |
hep-th/0306145 | Par Arvidsson | Par Arvidsson, Erik Flink and Mans Henningson | Free tensor multiplets and strings in spontaneously broken
six-dimensional (2,0) theory | 15 pages, LaTeX | JHEP0306:039,2003 | 10.1088/1126-6708/2003/06/039 | null | hep-th | null | We first review the representations of the six-dimensional (2,0) superalgebra
on a free tensor multiplet and on a free string. We then construct a
supersymmetric Lagrangian describing a free tensor multiplet. (It also includes
a decoupled anti self-dual part of the three-form field strength.) This field
theory is then rewritten in variables appropriate for analyzing a situation
where the R-symmetry is spontaneously broken by the vacuum expectation values
of the scalar moduli fields. Finally, we construct a supersymmetric and
kappa-symmetric action for a free string.
| [
{
"created": "Mon, 16 Jun 2003 12:06:04 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Arvidsson",
"Par",
""
],
[
"Flink",
"Erik",
""
],
[
"Henningson",
"Mans",
""
]
] | We first review the representations of the six-dimensional (2,0) superalgebra on a free tensor multiplet and on a free string. We then construct a supersymmetric Lagrangian describing a free tensor multiplet. (It also includes a decoupled anti self-dual part of the three-form field strength.) This field theory is then rewritten in variables appropriate for analyzing a situation where the R-symmetry is spontaneously broken by the vacuum expectation values of the scalar moduli fields. Finally, we construct a supersymmetric and kappa-symmetric action for a free string. |
0804.3603 | Ignat Fialkovsky Mr | I.V. Fialkovsky, V.N. Markov, Yu.M. Pis'mak | On the Casimir energy for scalar fields with bulk inhomogeneities | For the second version of the paper we completely revised the
calculation technique, and the first version should be considered obsolete.
It resulted in a change of finale formula for the Casimir energy which is now
in agrement with previous calculations. There are some references also added.
9 pages, stadard LaTeX | null | null | SPbU-IP-07-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the field theoretical model of a real scalar field in presence of
spacial inhomogeneity in form of a finite width mirror (material layer). The
interaction of the scalar field with the defect is described with
position-dependent mass term. We calculate the propagator of the theory, the
Casimir energy and the pressure on the boundaries of the layer. We discuss the
renormalization procedure for the model in dimensional regularization.
| [
{
"created": "Tue, 22 Apr 2008 20:17:30 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2008 10:06:58 GMT",
"version": "v2"
}
] | 2008-07-04 | [
[
"Fialkovsky",
"I. V.",
""
],
[
"Markov",
"V. N.",
""
],
[
"Pis'mak",
"Yu. M.",
""
]
] | We study the field theoretical model of a real scalar field in presence of spacial inhomogeneity in form of a finite width mirror (material layer). The interaction of the scalar field with the defect is described with position-dependent mass term. We calculate the propagator of the theory, the Casimir energy and the pressure on the boundaries of the layer. We discuss the renormalization procedure for the model in dimensional regularization. |
hep-th/9604082 | Kazuhiko Odaka | Kazuhiko Odaka, Kazuya Satoh | The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint
extensions | 10 pages, latex | Mod.Phys.Lett. A12 (1997) 337-346 | 10.1142/S0217732397000340 | NDA-FP-26 | hep-th | null | By using the spherical coordinates in 3+1 dimensions we study the
self-adjointness of the Dirac Hamiltonian in an Aharonov-Bohm gauge field of an
infinitely thin magnetic flux tube. It is shown that the angular part of the
Dirac Hamiltonian requires self-adjoint extensions as well as its radial one.
The self-adjoint extensions of the angular part are parametrized by 2x2 unitary
matrix.
| [
{
"created": "Tue, 16 Apr 1996 02:28:49 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Odaka",
"Kazuhiko",
""
],
[
"Satoh",
"Kazuya",
""
]
] | By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hamiltonian in an Aharonov-Bohm gauge field of an infinitely thin magnetic flux tube. It is shown that the angular part of the Dirac Hamiltonian requires self-adjoint extensions as well as its radial one. The self-adjoint extensions of the angular part are parametrized by 2x2 unitary matrix. |
1008.4209 | Ashoke Sen | Ashoke Sen | How Do Black Holes Predict the Sign of the Fourier Coefficients of
Siegel Modular Forms? | LaTeX file, 17 pages, 1 figure | Gen.Rel.Grav.43:2171-2183,2011 | 10.1007/s10714-011-1175-9 | null | hep-th gr-qc math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Single centered supersymmetric black holes in four dimensions have
spherically symmetric horizon and hence carry zero angular momentum. This leads
to a specific sign of the helicity trace index associated with these black
holes. Since the latter are given by the Fourier expansion coefficients of
appropriate meromorphic modular forms of Sp(2,Z) or its subgroup, we are led to
a specific prediction for the signs of a subset of these Fourier coefficients
which represent contributions from single centered black holes only. We
explicitly test these predictions for the modular forms which compute the index
of quarter BPS black holes in heterotic string theory on T^6, as well as in Z_N
CHL models for N=2,3,5,7.
| [
{
"created": "Wed, 25 Aug 2010 05:54:48 GMT",
"version": "v1"
}
] | 2011-07-21 | [
[
"Sen",
"Ashoke",
""
]
] | Single centered supersymmetric black holes in four dimensions have spherically symmetric horizon and hence carry zero angular momentum. This leads to a specific sign of the helicity trace index associated with these black holes. Since the latter are given by the Fourier expansion coefficients of appropriate meromorphic modular forms of Sp(2,Z) or its subgroup, we are led to a specific prediction for the signs of a subset of these Fourier coefficients which represent contributions from single centered black holes only. We explicitly test these predictions for the modular forms which compute the index of quarter BPS black holes in heterotic string theory on T^6, as well as in Z_N CHL models for N=2,3,5,7. |
hep-th/0003244 | James Gray | E. J. Copeland, J. A. Gray and P. M. Saffin | Gravitational instantons and internal dimensions | 10 pages, 5 figures | JHEP 0006 (2000) 024 | 10.1088/1126-6708/2000/06/024 | null | hep-th astro-ph gr-qc hep-ph | null | We Study instanton solutions in general relativity with a scalar field. The
metric ansatz we use is composed of a particular warp product of general
Einstein metrics, such as those found in a number of cosmological settings,
including string cosmology, supergravity compactifications and general Kaluza
Klein reductions. Using the Hartle-Hawking prescription the instantons we
obtain determine whether metrics involving extra compact dimensions of this
type are favoured as initial conditions for the universe. Specifically, we find
that these product metric instantons, viewed as constrained instantons, do have
a local minima in the action. These minima are then compared with the higher
dimensional version of the Hawking-Turok instantons, and we argue that the
latter always have lower action than those associated with these product
metrics.
| [
{
"created": "Mon, 27 Mar 2000 14:55:02 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Copeland",
"E. J.",
""
],
[
"Gray",
"J. A.",
""
],
[
"Saffin",
"P. M.",
""
]
] | We Study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including string cosmology, supergravity compactifications and general Kaluza Klein reductions. Using the Hartle-Hawking prescription the instantons we obtain determine whether metrics involving extra compact dimensions of this type are favoured as initial conditions for the universe. Specifically, we find that these product metric instantons, viewed as constrained instantons, do have a local minima in the action. These minima are then compared with the higher dimensional version of the Hawking-Turok instantons, and we argue that the latter always have lower action than those associated with these product metrics. |
1604.05820 | Anisur Rahaman | Safia Yasmin and Anisur Rahaman | On the Poincar\'e and Gauge symmetry of a model where vector and axial
vector interaction get mixed up with different weight | 13 pages latex, To apper in Int. Jour. Theor. Phys | Int.J.Theor.Phys. 55 (2016) 5172-5185 | 10.1007/s10773-016-3138-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A $(1+1)$ dimensional model where vector and axial vector interaction get
mixed up with different weight is considered with a generalized masslike term
for gauge field. Through Poincar\'e algebra it has been made confirm that only
a Lorentz covariant masslike term leads to a physically sensible theory as long
as the number of constraints in the phase space is two. With that admissible
masslike term, phase space structure of this model with proper identification
of physical canonical pair has been determined using Diracs' scheme of
quantization of constrained system. The bosonized version of the model remains
gauge non-invariant to start with. Therefore, with the inclusion of appropriate
Wess-Zumino term it is made gauge symmetric. An alternative quantization has
been carried out over this gauge symmetric version to determine the phase space
structure in this situation. To establish that the Wess-Zumino fields allocates
themselves in the un-physical sector of the theory an attempts has been made to
get back the usual theory from the gauge symmetric theory of the extended
phase-space without hampering any physical principle. It has been found that
the role of gauge fixing is crucial for this transmutation.
| [
{
"created": "Wed, 20 Apr 2016 05:04:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2016 14:42:44 GMT",
"version": "v2"
}
] | 2016-12-20 | [
[
"Yasmin",
"Safia",
""
],
[
"Rahaman",
"Anisur",
""
]
] | A $(1+1)$ dimensional model where vector and axial vector interaction get mixed up with different weight is considered with a generalized masslike term for gauge field. Through Poincar\'e algebra it has been made confirm that only a Lorentz covariant masslike term leads to a physically sensible theory as long as the number of constraints in the phase space is two. With that admissible masslike term, phase space structure of this model with proper identification of physical canonical pair has been determined using Diracs' scheme of quantization of constrained system. The bosonized version of the model remains gauge non-invariant to start with. Therefore, with the inclusion of appropriate Wess-Zumino term it is made gauge symmetric. An alternative quantization has been carried out over this gauge symmetric version to determine the phase space structure in this situation. To establish that the Wess-Zumino fields allocates themselves in the un-physical sector of the theory an attempts has been made to get back the usual theory from the gauge symmetric theory of the extended phase-space without hampering any physical principle. It has been found that the role of gauge fixing is crucial for this transmutation. |
hep-th/0402095 | Kurusch Ebrahimi-Fard | Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer | Integrable Renormalization I: the Ladder Case | 16 pages | J.Math.Phys. 45 (2004) 3758-3769 | 10.1063/1.1786680 | null | hep-th | null | In recent years a Hopf algebraic structure underlying the process of
renormalization in quantum field theory was found. It led to a Birkhoff
factorization for (regularized) Hopf algebra characters, i.e. for Feynman
rules. In this work we would like to show that this Birkhoff factorization
finds its natural formulation in terms of a classical r-matrix, coming from a
Rota-Baxter structure underlying the target space of the regularized Hopf
algebra characters. Working in the rooted tree Hopf algebra, the simple case of
the Hopf subalgebra of ladder trees is treated in detail. The extension to the
general case, i.e. the full Hopf algebra of rooted trees or Feynman graphs is
briefly outlined.
| [
{
"created": "Thu, 12 Feb 2004 16:14:08 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Ebrahimi-Fard",
"Kurusch",
""
],
[
"Guo",
"Li",
""
],
[
"Kreimer",
"Dirk",
""
]
] | In recent years a Hopf algebraic structure underlying the process of renormalization in quantum field theory was found. It led to a Birkhoff factorization for (regularized) Hopf algebra characters, i.e. for Feynman rules. In this work we would like to show that this Birkhoff factorization finds its natural formulation in terms of a classical r-matrix, coming from a Rota-Baxter structure underlying the target space of the regularized Hopf algebra characters. Working in the rooted tree Hopf algebra, the simple case of the Hopf subalgebra of ladder trees is treated in detail. The extension to the general case, i.e. the full Hopf algebra of rooted trees or Feynman graphs is briefly outlined. |
1605.05987 | S. Prem Kumar | Justin R. David, Surbhi Khetrapal and S. Prem Kumar | Universal corrections to entanglement entropy of local quantum quenches | References added, 56 pages, 9 figures | null | 10.1007/JHEP08(2016)127 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the time evolution of single interval Renyi and entanglement
entropies following local quantum quenches in two dimensional conformal field
theories at finite temperature for which the locally excited states have a
finite temporal width, \epsilon. We show that, for local quenches produced by
the action of a conformal primary field, the time dependence of Renyi and
entanglement entropies at order \epsilon^2 is universal. It is determined by
the expectation value of the stress tensor in the replica geometry and
proportional to the conformal dimension of the primary field generating the
local excitation. We also show that in CFTs with a gravity dual, the \epsilon^2
correction to the holographic entanglement entropy following a local quench
precisely agrees with the CFT prediction. We then consider CFTs admitting a
higher spin symmetry and turn on a higher spin chemical potential \mu. We
calculate the time dependence of the order \epsilon^2 correction to the
entanglement entropy for small \mu, and show that the contribution at order
\mu^2 is universal. We verify our arguments against exact results for minimal
models and the free fermion theory.
| [
{
"created": "Thu, 19 May 2016 15:03:31 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jun 2016 10:33:49 GMT",
"version": "v2"
}
] | 2016-09-21 | [
[
"David",
"Justin R.",
""
],
[
"Khetrapal",
"Surbhi",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by the action of a conformal primary field, the time dependence of Renyi and entanglement entropies at order \epsilon^2 is universal. It is determined by the expectation value of the stress tensor in the replica geometry and proportional to the conformal dimension of the primary field generating the local excitation. We also show that in CFTs with a gravity dual, the \epsilon^2 correction to the holographic entanglement entropy following a local quench precisely agrees with the CFT prediction. We then consider CFTs admitting a higher spin symmetry and turn on a higher spin chemical potential \mu. We calculate the time dependence of the order \epsilon^2 correction to the entanglement entropy for small \mu, and show that the contribution at order \mu^2 is universal. We verify our arguments against exact results for minimal models and the free fermion theory. |
2005.04457 | Dibakar Roychowdhury | Dibakar Roychowdhury | Analytic integrability for holographic duals with $ J\bar{T} $
deformations | Latex, 16 pages, Version Accepted in JHEP | JHEP 09 (2020) 053 | 10.1007/JHEP09(2020)053 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We probe warped BTZ $ \times S^3 $ geometry with various string solitons and
explore the classical integrability criteria of the associated phase space
configurations using Kovacic's algorithm. We consider consistent truncation of
the parent sigma model into one dimension and obtain the corresponding normal
variational equations (NVE). Two specific examples have been considered where
the sigma model is reduced over the subspace of the full target space geometry.
In both examples, NVEs are found to possess the Liouvillian form of solutions
which ensures the classical integrability of the associated phase space
dynamics. We address similar issues for the finite temperature counterpart of
the duality, where we analyze the classical phase space of the string soliton
probing warped BTZ black string geometry. Our analysis reveals clear
compatibility between normal variational equations and the rules set by the
Kovacic's criteria. This ensures the classical integrability of the parent
sigma model for the finite-temperature extension of the duality conjecture.
| [
{
"created": "Sat, 9 May 2020 14:53:17 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2020 16:12:42 GMT",
"version": "v2"
}
] | 2020-09-08 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | We probe warped BTZ $ \times S^3 $ geometry with various string solitons and explore the classical integrability criteria of the associated phase space configurations using Kovacic's algorithm. We consider consistent truncation of the parent sigma model into one dimension and obtain the corresponding normal variational equations (NVE). Two specific examples have been considered where the sigma model is reduced over the subspace of the full target space geometry. In both examples, NVEs are found to possess the Liouvillian form of solutions which ensures the classical integrability of the associated phase space dynamics. We address similar issues for the finite temperature counterpart of the duality, where we analyze the classical phase space of the string soliton probing warped BTZ black string geometry. Our analysis reveals clear compatibility between normal variational equations and the rules set by the Kovacic's criteria. This ensures the classical integrability of the parent sigma model for the finite-temperature extension of the duality conjecture. |
1905.03737 | Luis Max Guillen Quiroz | Nathan Berkovits, Eduardo Casali, Max Guillen, Lionel Mason | Notes on the $D=11$ pure spinor superparticle | 13 pages | null | 10.1007/JHEP08(2019)178 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $D=11$ pure spinor superparticle has been shown to describe linearized
$D=11$ supergravity in a manifestly covariant way. A number of authors have
proposed that its correlation functions be used to compute amplitudes. The use
of the scalar structure of the eleven-dimensional pure spinor top cohomology
introduces a natural measure for computing such correlation functions. This
prescription requires the construction of ghost number one and zero vertex
operators. In these notes, we construct explicitly a ghost number one vertex
operator but show the incompatibiliy of a ghost number zero vertex operator
satisfying a standard descent equation for $D=11$ supergravity.
| [
{
"created": "Thu, 9 May 2019 16:27:39 GMT",
"version": "v1"
}
] | 2019-10-02 | [
[
"Berkovits",
"Nathan",
""
],
[
"Casali",
"Eduardo",
""
],
[
"Guillen",
"Max",
""
],
[
"Mason",
"Lionel",
""
]
] | The $D=11$ pure spinor superparticle has been shown to describe linearized $D=11$ supergravity in a manifestly covariant way. A number of authors have proposed that its correlation functions be used to compute amplitudes. The use of the scalar structure of the eleven-dimensional pure spinor top cohomology introduces a natural measure for computing such correlation functions. This prescription requires the construction of ghost number one and zero vertex operators. In these notes, we construct explicitly a ghost number one vertex operator but show the incompatibiliy of a ghost number zero vertex operator satisfying a standard descent equation for $D=11$ supergravity. |
1503.09003 | Oktay Cebecioglu PhD | O. Cebecio\u{g}lu and S. Kibaro\u{g}lu | Maxwell-affine gauge theory of gravity | null | null | 10.1016/j.physletb.2015.10.022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Maxwell extension of affine algebra with additional tensorial generators is
given. Using the methods of nonlinear realizations, we found the transformation
rules for group parameters and corresponding generators. Gauging the
Maxwell-affine algebra we presented two possible invariant actions for gravity:
one is the first order and the other one is the second order in affine
curvature. We noticed that equations of motion for the action, second order in
affine curvature, lead to the generalized Bianchi identities on the choice of
appropriate coefficients for a particular solution of the constraint equation.
| [
{
"created": "Tue, 31 Mar 2015 11:06:27 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Cebecioğlu",
"O.",
""
],
[
"Kibaroğlu",
"S.",
""
]
] | Maxwell extension of affine algebra with additional tensorial generators is given. Using the methods of nonlinear realizations, we found the transformation rules for group parameters and corresponding generators. Gauging the Maxwell-affine algebra we presented two possible invariant actions for gravity: one is the first order and the other one is the second order in affine curvature. We noticed that equations of motion for the action, second order in affine curvature, lead to the generalized Bianchi identities on the choice of appropriate coefficients for a particular solution of the constraint equation. |
hep-th/0011013 | Euro Spallucci | S. Ansoldi, C. Castro, E.Spallucci | Chern-Simons Hadronic Bag from Quenched Large-N QCD | LaTex, 11 pages, 1figure; accepted for publication in Phys. Lett.B | Phys.Lett.B504:174-180,2001 | 10.1016/S0370-2693(01)00261-1 | null | hep-th | null | SU(N) reduced, quenched, gauge theories have been shown to be related to
string theories. We extend this result and show how a 4-dimensional, reduced,
quenched, Yang-Mills theory, supplemented by the topological term, can be
related through the Wigner-Weyl-Moyal correspondence to an open 3-brane model.
The boundary of the 3-brane is described by a Chern-Simons 2-brane. We identify
the bulk of the 3-brane with the interior of a hadronic bag and the
world-volume of the Chern-Simons 2-brane with the dynamical boundary of the
bag. We estimate the value of the induced bag constant to be a little less than
200MeV.
| [
{
"created": "Thu, 2 Nov 2000 10:16:43 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Ansoldi",
"S.",
""
],
[
"Castro",
"C.",
""
],
[
"Spallucci",
"E.",
""
]
] | SU(N) reduced, quenched, gauge theories have been shown to be related to string theories. We extend this result and show how a 4-dimensional, reduced, quenched, Yang-Mills theory, supplemented by the topological term, can be related through the Wigner-Weyl-Moyal correspondence to an open 3-brane model. The boundary of the 3-brane is described by a Chern-Simons 2-brane. We identify the bulk of the 3-brane with the interior of a hadronic bag and the world-volume of the Chern-Simons 2-brane with the dynamical boundary of the bag. We estimate the value of the induced bag constant to be a little less than 200MeV. |
hep-th/0010094 | Edward Corrigan | E. Corrigan | Boundary bound states in integrable quantum field theories | 9 pages, JHEP proceedings style, talk presented at the TMR conference
"Nonperturbative Quantum Effects 2000" | null | null | null | hep-th | null | The purpose of this talk is to sketch some recent progress which has been
made in calculating non-perturbatively the reflection factors for the
sinh-Gordon model restricted to a half-line by integrable boundary conditions.
The essential idea is to calculate the energy spectrum of boundary breathers in
two independent ways; firstly by using the boundary bootstrap and secondly by
quantizing the classical solutions corresponding to boundary breathers.
Comparing these two calculations provides a way to determine the dependence of
the reflection factors on the parameters introduced into the Lagrangian by the
boundary conditions. The basic idea is illustrated using a massive free scalar
field with a linear boundary condition confining it to a half-line.
| [
{
"created": "Thu, 12 Oct 2000 08:25:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Corrigan",
"E.",
""
]
] | The purpose of this talk is to sketch some recent progress which has been made in calculating non-perturbatively the reflection factors for the sinh-Gordon model restricted to a half-line by integrable boundary conditions. The essential idea is to calculate the energy spectrum of boundary breathers in two independent ways; firstly by using the boundary bootstrap and secondly by quantizing the classical solutions corresponding to boundary breathers. Comparing these two calculations provides a way to determine the dependence of the reflection factors on the parameters introduced into the Lagrangian by the boundary conditions. The basic idea is illustrated using a massive free scalar field with a linear boundary condition confining it to a half-line. |
1701.00473 | Andrea Cavagli\`a | Diego Bombardelli, Andrea Cavagli\`a, Davide Fioravanti, Nikolay
Gromov and Roberto Tateo | The full Quantum Spectral Curve for $AdS_4/CFT_3$ | 43 + 27 pages, 7 figures. v4: text improved, more details and App D
included. This is the same as the published version JHEP09(2017)140, with
small typos corrected in App E | null | 10.1007/JHEP09(2017)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type
IIA superstring theory on $AdS_4 \times CP^3$, is accessible at finite coupling
using integrability. Starting from the results of [arXiv:1403.1859], we study
in depth the basic integrability structure underlying the spectral problem, the
Quantum Spectral Curve. The new results presented in this paper open the way to
the quantitative study of the spectrum for arbitrary operators at finite
coupling. Besides, we show that the Quantum Spectral Curve is embedded into a
novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and
leads to exact Bethe Ansatz equations. The discovery of this algebraic
structure, more intricate than the one appearing in the $AdS_5/CFT_4$ case,
could be a first step towards the extension of the method to $AdS_3/CFT_2$.
| [
{
"created": "Mon, 2 Jan 2017 18:24:37 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2017 18:32:21 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Apr 2017 08:40:41 GMT",
"version": "v3"
},
{
"created": "Mon, 14 May 2018 17:38:17 GMT",
"version": "v4"
}
] | 2018-05-15 | [
[
"Bombardelli",
"Diego",
""
],
[
"Cavaglià",
"Andrea",
""
],
[
"Fioravanti",
"Davide",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Tateo",
"Roberto",
""
]
] | The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $AdS_4 \times CP^3$, is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in depth the basic integrability structure underlying the spectral problem, the Quantum Spectral Curve. The new results presented in this paper open the way to the quantitative study of the spectrum for arbitrary operators at finite coupling. Besides, we show that the Quantum Spectral Curve is embedded into a novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and leads to exact Bethe Ansatz equations. The discovery of this algebraic structure, more intricate than the one appearing in the $AdS_5/CFT_4$ case, could be a first step towards the extension of the method to $AdS_3/CFT_2$. |
1512.03499 | Xiao Mei Kuang | Jian-Pin Wu, Xiao-Mei Kuang | Scalar Boundary Conditions in Hyperscaling Violating Geometry | 19 pages | Phys. Lett. B 753 (2016) 34 | 10.1016/j.physletb.2015.11.046 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the possible boundary conditions of scalar field modes in a
hyperscaling violation(HV) geometry with Lifshitz dynamical exponent $z
(z\geqslant1)$ and hyperscaling violation exponent $\theta (\theta\neq0)$. For
the case with $\theta>0$, we show that in the parameter range with $1\leq z\leq
2,~-z+d-1<\theta\leq (d-1)(z-1)$ or $z>2,~-z+d-1<\theta\leq d-1$, the boundary
conditions have different types, including the Neumann, Dirichlet and Robin
conditions, while in the range with $\theta\leq-z+d-1$, only Dirichlet type
condition can be set. In particular, we further confirm that the mass of the
scalar field does not play any role in determining the possible boundary
conditions for $\theta>0$, which has been addressed in Ref. \cite{1201.1905}.
Meanwhile, we also do the parallel investigation in the case with $\theta<0$.
We find that for $m^2<0$, three types of boundary conditions are available, but
for $m^2>0$, only one type is available.
| [
{
"created": "Fri, 11 Dec 2015 01:27:11 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Wu",
"Jian-Pin",
""
],
[
"Kuang",
"Xiao-Mei",
""
]
] | We study the possible boundary conditions of scalar field modes in a hyperscaling violation(HV) geometry with Lifshitz dynamical exponent $z (z\geqslant1)$ and hyperscaling violation exponent $\theta (\theta\neq0)$. For the case with $\theta>0$, we show that in the parameter range with $1\leq z\leq 2,~-z+d-1<\theta\leq (d-1)(z-1)$ or $z>2,~-z+d-1<\theta\leq d-1$, the boundary conditions have different types, including the Neumann, Dirichlet and Robin conditions, while in the range with $\theta\leq-z+d-1$, only Dirichlet type condition can be set. In particular, we further confirm that the mass of the scalar field does not play any role in determining the possible boundary conditions for $\theta>0$, which has been addressed in Ref. \cite{1201.1905}. Meanwhile, we also do the parallel investigation in the case with $\theta<0$. We find that for $m^2<0$, three types of boundary conditions are available, but for $m^2>0$, only one type is available. |
hep-th/0701042 | Shao-You Zhao | Shao-You Zhao and Yao-Zhong Zhang | Supersymmetric Vertex Models with Domain Wall Boundary Conditions | 19 pages, 4 figures, to be published in J. Math. Phys | J.Math.Phys.48:023504,2007 | 10.1063/1.2436986 | null | hep-th cond-mat.stat-mech cond-mat.str-el math-ph math.MP nlin.SI | null | By means of the Drinfeld twists, we derive the determinant representations of
the partition functions for the $gl(1|1)$ and $gl(2|1)$ supersymmetric vertex
models with domain wall boundary conditions. In the homogenous limit, these
determinants degenerate to simple functions.
| [
{
"created": "Fri, 5 Jan 2007 13:43:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Zhao",
"Shao-You",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the $gl(1|1)$ and $gl(2|1)$ supersymmetric vertex models with domain wall boundary conditions. In the homogenous limit, these determinants degenerate to simple functions. |
2406.12959 | Waltraut Knop | Jan Albert, Waltraut Knop, and Leonardo Rastelli | Where is tree-level string theory? | 44+6 pages, 23 figures | null | null | YITP-SB-2024-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the space of consistent tree-level extensions of the maximal
supergravities in ten dimensions. We parametrize theory space by the first few
EFT coefficients and by the on-shell coupling of the lightest massive state,
and impose on these data the constraints that follow from $2 \to 2$
supergraviton scattering. While Type II string theory lives strictly inside the
allowed region, we uncover a novel extremal solution of the bootstrap problem,
which appears to contain a single linear Regge trajectory, with the same slope
as string theory. We repeat a similar analysis for supergluon scattering, where
we find instead a continuous family of extremal solutionswith a single Regge
trajectory of varying slope.
| [
{
"created": "Tue, 18 Jun 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-06-21 | [
[
"Albert",
"Jan",
""
],
[
"Knop",
"Waltraut",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | We investigate the space of consistent tree-level extensions of the maximal supergravities in ten dimensions. We parametrize theory space by the first few EFT coefficients and by the on-shell coupling of the lightest massive state, and impose on these data the constraints that follow from $2 \to 2$ supergraviton scattering. While Type II string theory lives strictly inside the allowed region, we uncover a novel extremal solution of the bootstrap problem, which appears to contain a single linear Regge trajectory, with the same slope as string theory. We repeat a similar analysis for supergluon scattering, where we find instead a continuous family of extremal solutionswith a single Regge trajectory of varying slope. |
hep-th/0609105 | Orest Prytula | M.P. Kozlovskii, I.V. Pylyuk, O.O. Prytula | Free Energy and Equation of State of Ising-like Magnet Near the Critical
Point | 9 pages 2 figures in journal Nuclear physics B (in press but with
ref. v.753, pages 242-251) | Nucl.Phys. B753 (2006) 242-251 | 10.1016/j.nuclphysb.2006.07.006 | null | hep-th | null | The description of a three-dimensional Ising-like magnet in the presence of
an external field in the vicinity of the critical point by the collective
variables method is proposed. Using the renormalization group transformations,
the scaling region size is defined as a function of temperature and field. The
obtained expressions for the free energy, equation of state and susceptibility
allow one to analyse their dependence on microscopic parameters of the system.
The critical exponents of the correlation length and order parameter are
calculated as well. The results agree qualitatively with ones obtained within
the framework of the parametric representation of the equation of state and
Monte-Carlo simulations. The calculations do not involve any parametrization,
phenomenological assumptions and adjustable parameters. The approach can be
extended to models with a multicomponent order parameter.
| [
{
"created": "Thu, 14 Sep 2006 13:33:13 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kozlovskii",
"M. P.",
""
],
[
"Pylyuk",
"I. V.",
""
],
[
"Prytula",
"O. O.",
""
]
] | The description of a three-dimensional Ising-like magnet in the presence of an external field in the vicinity of the critical point by the collective variables method is proposed. Using the renormalization group transformations, the scaling region size is defined as a function of temperature and field. The obtained expressions for the free energy, equation of state and susceptibility allow one to analyse their dependence on microscopic parameters of the system. The critical exponents of the correlation length and order parameter are calculated as well. The results agree qualitatively with ones obtained within the framework of the parametric representation of the equation of state and Monte-Carlo simulations. The calculations do not involve any parametrization, phenomenological assumptions and adjustable parameters. The approach can be extended to models with a multicomponent order parameter. |
0811.4087 | Patras Frederic | Patras Fr\'ed\'eric (JAD) | Dynkin operators and renormalization group actions in pQFT | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Renormalization techniques in perturbative quantum field theory were known,
from their inception, to have a strong combinatorial content emphasized, among
others, by Zimmermann's celebrated forest formula. The present article reports
on recent advances on the subject, featuring the role played by the Dynkin
operators (actually their extension to the Hopf algebraic setting) at two
crucial levels of renormalization, namely the Bogolioubov recursion and the
renormalization group (RG) equations. For that purpose, an iterated integrals
toy model is introduced to emphasize how the operators appear naturally in the
setting of renormalization group analysis. The toy model, in spite of its
simplicity, captures many key features of recent approaches to RG equations in
pQFT, including the construction of a universal Galois group for quantum field
theories.
| [
{
"created": "Tue, 25 Nov 2008 13:40:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Frédéric",
"Patras",
"",
"JAD"
]
] | Renormalization techniques in perturbative quantum field theory were known, from their inception, to have a strong combinatorial content emphasized, among others, by Zimmermann's celebrated forest formula. The present article reports on recent advances on the subject, featuring the role played by the Dynkin operators (actually their extension to the Hopf algebraic setting) at two crucial levels of renormalization, namely the Bogolioubov recursion and the renormalization group (RG) equations. For that purpose, an iterated integrals toy model is introduced to emphasize how the operators appear naturally in the setting of renormalization group analysis. The toy model, in spite of its simplicity, captures many key features of recent approaches to RG equations in pQFT, including the construction of a universal Galois group for quantum field theories. |
0708.3302 | Marco Billo' | M. Billo, M. Caselle, L. Ferro | Universal behaviour of interfaces in 2d and dimensional reduction of
Nambu-Goto strings | 14 pages, 1 figure | Nucl.Phys.B795:623-634,2008 | 10.1016/j.nuclphysb.2007.11.036 | DFTT/11/2007 | hep-th cond-mat.stat-mech hep-lat | null | We propose a simple effective model for the description of interfaces in 2d
statistical models, based on the first-order treatment of an action
corresponding to the length of the interface. The universal prediction of this
model for the interface free energy agrees with the result of an exact
calculation in the case of the 2d Ising model. This model appears as a
dimensional reduction of the Nambu-Goto stringy description of interfaces in
3d, i.e., of the capillary wave model.
| [
{
"created": "Fri, 24 Aug 2007 10:02:14 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Billo",
"M.",
""
],
[
"Caselle",
"M.",
""
],
[
"Ferro",
"L.",
""
]
] | We propose a simple effective model for the description of interfaces in 2d statistical models, based on the first-order treatment of an action corresponding to the length of the interface. The universal prediction of this model for the interface free energy agrees with the result of an exact calculation in the case of the 2d Ising model. This model appears as a dimensional reduction of the Nambu-Goto stringy description of interfaces in 3d, i.e., of the capillary wave model. |
1605.01633 | Stuart Dowker | J.S. Dowker | Quantum revivals in free field CFT | 22 pages. 8 figures. Notation improved. Errors corrected.
Considerable extension to section on wrongly quantised fields. References
added. v3 Further corrections. Remarks added on the modular relations between
scalars and spinors and their `wrong' partners. Comments on sphere
eigenvalues added | null | 10.1088/1751-8121/aa5360 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A commentary is made on the recent work by Cardy, ArXiv:1603. 08267, on
quantum revivals and higher dimensional CFT. The actual expressions used here
are those derived some time ago. The calculation is extended to fermion fields
for which the power spectrum involves the odd divisor function. Comments are
made on the equivalence of operator counting and eigenvalue methods, which is
quickly verified. An explanation of the rational revivals for odd spheres is
given in terms of wrongly quantised fields.
| [
{
"created": "Thu, 5 May 2016 15:54:16 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2016 16:39:10 GMT",
"version": "v2"
},
{
"created": "Thu, 19 May 2016 17:57:02 GMT",
"version": "v3"
}
] | 2017-03-08 | [
[
"Dowker",
"J. S.",
""
]
] | A commentary is made on the recent work by Cardy, ArXiv:1603. 08267, on quantum revivals and higher dimensional CFT. The actual expressions used here are those derived some time ago. The calculation is extended to fermion fields for which the power spectrum involves the odd divisor function. Comments are made on the equivalence of operator counting and eigenvalue methods, which is quickly verified. An explanation of the rational revivals for odd spheres is given in terms of wrongly quantised fields. |
1906.01652 | Eric D'Hoker | Eric D'Hoker and Michael B. Green | Exploring transcendentality in superstring amplitudes | 65 pages, 4 figures; typos corrected, reference added, minor edits in
version 2; factor of 4 corrected in theorem 4.1 in version 3 | null | 10.1007/JHEP07(2019)149 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that the low energy expansion of tree-level superstring
scattering amplitudes satisfies a suitably defined version of maximum
transcendentality. In this paper it is argued that there is a natural extension
of this definition that applies to the genus-one four-graviton Type II
superstring amplitude to all orders in the low-energy expansion. To obtain this
result, the integral over the genus-one moduli space is partitioned into a
region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and
an exact expression is obtained for the contribution to the amplitude from
${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is
proven to be free of irreducible multiple zeta-values to all orders. The
contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular
graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion,
and general arguments are used beyond this order to conjecture the
transcendentality properties of the ${\cal M}_L$ contributions. Maximal
transcendentality of the full amplitude holds provided we assign a non-zero
weight to certain harmonic sums, an assumption which is familiar from
transcendentality assignments in quantum field theory amplitudes.
| [
{
"created": "Tue, 4 Jun 2019 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 22:44:37 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2021 15:40:21 GMT",
"version": "v3"
}
] | 2021-06-29 | [
[
"D'Hoker",
"Eric",
""
],
[
"Green",
"Michael B.",
""
]
] | It is well known that the low energy expansion of tree-level superstring scattering amplitudes satisfies a suitably defined version of maximum transcendentality. In this paper it is argued that there is a natural extension of this definition that applies to the genus-one four-graviton Type II superstring amplitude to all orders in the low-energy expansion. To obtain this result, the integral over the genus-one moduli space is partitioned into a region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and an exact expression is obtained for the contribution to the amplitude from ${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is proven to be free of irreducible multiple zeta-values to all orders. The contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion, and general arguments are used beyond this order to conjecture the transcendentality properties of the ${\cal M}_L$ contributions. Maximal transcendentality of the full amplitude holds provided we assign a non-zero weight to certain harmonic sums, an assumption which is familiar from transcendentality assignments in quantum field theory amplitudes. |
2310.12610 | Francisco Pe\~na-Ben\'itez | Francisco Pe\~na-Ben\'itez and Patricio Salgado-Rebolledo | Fracton gauge fields from higher-dimensional gravity | 21 pages. Published version, typos corrected | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We show that the fractonic dipole-conserving algebra can be obtained as an
Aristotelian (and pseudo-Carrollian) contraction of the Poincar\'e algebra in
one dimension higher. Such contraction allows to obtain fracton electrodynamics
from a relativistic higher-dimensional theory upon dimensional reduction. The
contraction procedure produces several scenarios including the some of the
theories already discussed in the literature. A curved space generalization is
given, which is gauge invariant when the Riemann tensor of the background
geometry is harmonic.
| [
{
"created": "Thu, 19 Oct 2023 09:39:17 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2024 09:26:15 GMT",
"version": "v2"
}
] | 2024-04-23 | [
[
"Peña-Benítez",
"Francisco",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
]
] | We show that the fractonic dipole-conserving algebra can be obtained as an Aristotelian (and pseudo-Carrollian) contraction of the Poincar\'e algebra in one dimension higher. Such contraction allows to obtain fracton electrodynamics from a relativistic higher-dimensional theory upon dimensional reduction. The contraction procedure produces several scenarios including the some of the theories already discussed in the literature. A curved space generalization is given, which is gauge invariant when the Riemann tensor of the background geometry is harmonic. |
hep-th/0201247 | null | Jiliang Jing | Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS$_4$/dS$_4$
black holes backgrounds | 14 pages, no figure | Phys.Rev. D66 (2002) 024002 | 10.1103/PhysRevD.66.024002 | null | hep-th gr-qc | null | The Cardy-Verlinde formula is further verified by using the
Kerr-Newman-AdS$_4$ and Kerr-Newman-dS$_4$ black holes. In the
Kerr-Newman-AdS$_4$ spacetime, we find that, for strongly coupled CFTs with AdS
duals, to cast the entropy of the CFT into the Cardy-Verlinde formula the
Casimir energy must contains the terms $ -n ({\mathcal{J}} \Omega_H+
\frac{Q\Phi}{2}+ \frac{Q\Phi_0}{2})$, which associate with rotational and
electric potential energies, and the extensive energy includes the term $-Q
\Phi_0$. For the Kerr-Newman-dS$_4$ black hole, we note that the Casimir energy
is negative but the extensive energy is positive on the cosmological horizon;
while the Casimir energy is positive but the extensive energy is negative on
the event horizon (the definitions for the two energies possess the same forms
as the corresponding quantities of the Kerr-Newman-AdS$_4$ black hole). Thus we
have to take the absolute value of the Casimir (extensive) energy in the
Cardy-Verlinde formula for the cosmological (event) horizon. The result for the
Kerr-Newman-dS$_4$ spacetime provides support of the dS/CFT correspondence.
Furthermore, we also obtain the Bekenstein-Verlinde-like entropy bound for the
Kerr-Newman-AdS$_4$ black hole and the D-bound on the entropy of matter system
in Kerr-Newman-dS$_4$ spacetime. We find that both the bounds are tightened by
the electric charge.
| [
{
"created": "Wed, 30 Jan 2002 09:57:11 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Feb 2002 02:03:06 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Feb 2002 02:41:49 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Jing",
"Jiliang",
""
]
] | The Cardy-Verlinde formula is further verified by using the Kerr-Newman-AdS$_4$ and Kerr-Newman-dS$_4$ black holes. In the Kerr-Newman-AdS$_4$ spacetime, we find that, for strongly coupled CFTs with AdS duals, to cast the entropy of the CFT into the Cardy-Verlinde formula the Casimir energy must contains the terms $ -n ({\mathcal{J}} \Omega_H+ \frac{Q\Phi}{2}+ \frac{Q\Phi_0}{2})$, which associate with rotational and electric potential energies, and the extensive energy includes the term $-Q \Phi_0$. For the Kerr-Newman-dS$_4$ black hole, we note that the Casimir energy is negative but the extensive energy is positive on the cosmological horizon; while the Casimir energy is positive but the extensive energy is negative on the event horizon (the definitions for the two energies possess the same forms as the corresponding quantities of the Kerr-Newman-AdS$_4$ black hole). Thus we have to take the absolute value of the Casimir (extensive) energy in the Cardy-Verlinde formula for the cosmological (event) horizon. The result for the Kerr-Newman-dS$_4$ spacetime provides support of the dS/CFT correspondence. Furthermore, we also obtain the Bekenstein-Verlinde-like entropy bound for the Kerr-Newman-AdS$_4$ black hole and the D-bound on the entropy of matter system in Kerr-Newman-dS$_4$ spacetime. We find that both the bounds are tightened by the electric charge. |
2311.04151 | Gustav Uhre Jakobsen | Gustav Uhre Jakobsen | Spin and Susceptibility Effects of Electromagnetic Self-Force in
Effective Field Theory | 9 pages including references, version 2: supplementary material
greatly expanded and some edits to main text, published in PRL | null | null | HU-EP-23/61-RTG | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classic Abraham-Lorentz-Dirac self-force of point-like particles is
generalized within an effective field theory setup to include linear spin and
susceptibility effects described perturbatively, in that setup, by effective
couplings in the action. Electromagnetic self-interactions of the point-like
particle are integrated out using the in-in supersymmetric worldline quantum
field theory formalism. Divergences are regularized with dimensional
regularization and the resulting equations of motion are in terms only of an
external electromagnetic field and the particle degrees of freedom.
| [
{
"created": "Tue, 7 Nov 2023 17:26:56 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jun 2024 12:37:48 GMT",
"version": "v2"
}
] | 2024-06-06 | [
[
"Jakobsen",
"Gustav Uhre",
""
]
] | The classic Abraham-Lorentz-Dirac self-force of point-like particles is generalized within an effective field theory setup to include linear spin and susceptibility effects described perturbatively, in that setup, by effective couplings in the action. Electromagnetic self-interactions of the point-like particle are integrated out using the in-in supersymmetric worldline quantum field theory formalism. Divergences are regularized with dimensional regularization and the resulting equations of motion are in terms only of an external electromagnetic field and the particle degrees of freedom. |
hep-th/9403092 | Jose Gaite | Jose Gaite | Unitarity of The Realization of Conformal Symmetry in The Quantum Hall
Effect | 17 pages, LaTeX, section added on unitarity of Chern-Simons theory
and anomalies, general improvement | Int.J.Mod.Phys.A11:2065-2080,1996 | 10.1142/S0217751X96001048 | UVA-94-09 | hep-th cond-mat | null | We study the realization of conformal symmetry in the QHE as part of the
$W_\infty$ algebra. Conformal symmetry can be realized already at the classical
level and implies the complexification of coordinate space. Its quantum version
is not unitary. Nevertheless, it can be rendered unitary by a suitable
modification of its definition which amounts to taking proper care of the
quantum measure. The consequences of unitarity for the Chern-Simons theory of
the QHE are also studied, showing the connection of non-unitarity with
anomalies. Finally, we discuss the geometrical paradox of realizing conformal
transformations as area preserving diffeomorphisms.
| [
{
"created": "Wed, 16 Mar 1994 21:11:32 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 1995 18:11:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gaite",
"Jose",
""
]
] | We study the realization of conformal symmetry in the QHE as part of the $W_\infty$ algebra. Conformal symmetry can be realized already at the classical level and implies the complexification of coordinate space. Its quantum version is not unitary. Nevertheless, it can be rendered unitary by a suitable modification of its definition which amounts to taking proper care of the quantum measure. The consequences of unitarity for the Chern-Simons theory of the QHE are also studied, showing the connection of non-unitarity with anomalies. Finally, we discuss the geometrical paradox of realizing conformal transformations as area preserving diffeomorphisms. |
hep-th/0101070 | Euro Spallucci | S. Ansoldi, C. Castro, E. Spallucci | p-Branes from Generalized Yang-Mills Theory | 8 pages, LaTeX 2e, no figures | Class.Quant.Grav.18:L23-L29,2001 | 10.1088/0264-9381/18/3/102 | null | hep-th | null | We consider the reduced, quenched version of a generalized Yang-Mills action
in 4k-dimensional spacetime. This is a new kind of matrix theory which is
mapped through the Weyl-Wigner-Moyal correspondence into a field theory over a
non-commutative phase space. We show that the ``classical'' limit of this field
theory is encoded into the effective action of an open, (4k-1)-dimensional,
bulk brane enclosed by a dynamical, Chern-Simons type, (4k-2)-dimensional,
boundary brane. The bulk action is a pure volume term, while the boundary
action carries all the dynamical degrees of freedom.
| [
{
"created": "Thu, 11 Jan 2001 16:02:54 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Ansoldi",
"S.",
""
],
[
"Castro",
"C.",
""
],
[
"Spallucci",
"E.",
""
]
] | We consider the reduced, quenched version of a generalized Yang-Mills action in 4k-dimensional spacetime. This is a new kind of matrix theory which is mapped through the Weyl-Wigner-Moyal correspondence into a field theory over a non-commutative phase space. We show that the ``classical'' limit of this field theory is encoded into the effective action of an open, (4k-1)-dimensional, bulk brane enclosed by a dynamical, Chern-Simons type, (4k-2)-dimensional, boundary brane. The bulk action is a pure volume term, while the boundary action carries all the dynamical degrees of freedom. |
hep-th/9602088 | Cihan Saclioglu | Serdar Nergiz and Cihan Saclioglu | Liouville Vortex And $\varphi^{4}$ Kink Solutions Of The Seiberg--Witten
Equations | 14 pages, Latex | J.Math.Phys. 37 (1996) 3753-3759 | 10.1063/1.531628 | MRC.PH.TH.-1-96 | hep-th | null | The Seiberg--Witten equations, when dimensionally reduced to $\bf R^{2}\mit$,
naturally yield the Liouville equation, whose solutions are parametrized by an
arbitrary analytic function $g(z)$. The magnetic flux $\Phi$ is the integral of
a singular Kaehler form involving $g(z)$; for an appropriate choice of $g(z)$ ,
$N$ coaxial or separated vortex configurations with $\Phi=\frac{2\pi N}{e}$ are
obtained when the integral is regularized. The regularized connection in the
$\bf R^{1}\mit$ case coincides with the kink solution of $\varphi^{4}$ theory.
| [
{
"created": "Fri, 16 Feb 1996 12:07:50 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Nergiz",
"Serdar",
""
],
[
"Saclioglu",
"Cihan",
""
]
] | The Seiberg--Witten equations, when dimensionally reduced to $\bf R^{2}\mit$, naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic function $g(z)$. The magnetic flux $\Phi$ is the integral of a singular Kaehler form involving $g(z)$; for an appropriate choice of $g(z)$ , $N$ coaxial or separated vortex configurations with $\Phi=\frac{2\pi N}{e}$ are obtained when the integral is regularized. The regularized connection in the $\bf R^{1}\mit$ case coincides with the kink solution of $\varphi^{4}$ theory. |
1703.00456 | Nilay Kundu | Pawel Caputa, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi and
Kento Watanabe | Anti-de Sitter Space from Optimization of Path Integrals in Conformal
Field Theories | 7 pages, Revtex, 2 figures, Version 2 : The version published in PRL,
title expanded and typos corrected | Phys.Rev.Lett. 119 (2017) no.7, 071602 | 10.1103/PhysRevLett.119.071602 | YITP-17-20, IPMU17-0039 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new optimization procedure for Euclidean path integrals which
compute wave functionals in conformal field theories (CFTs). We optimize the
background metric in the space on which the path integration is performed.
Equivalently this is interpreted as a position-dependent UV cutoff. For
two-dimensional CFT vacua, we find the optimized metric is given by that of a
hyperbolic space and we interpret this as a continuous limit of the conjectured
relation between tensor networks and Anti--de Sitter (AdS)/conformal field
theory (CFT) correspondence. We confirm our procedure for excited states, the
thermofield double state, the Sachdev-Ye-Kitaev model and discuss its extension
to higher-dimensional CFTs. We also show that when applied to reduced density
matrices, it reproduces entanglement wedges and holographic entanglement
entropy. We suggest that our optimization prescription is analogous to the
estimation of computational complexity.
| [
{
"created": "Wed, 1 Mar 2017 19:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Aug 2017 17:13:37 GMT",
"version": "v2"
}
] | 2017-08-30 | [
[
"Caputa",
"Pawel",
""
],
[
"Kundu",
"Nilay",
""
],
[
"Miyaji",
"Masamichi",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Watanabe",
"Kento",
""
]
] | We introduce a new optimization procedure for Euclidean path integrals which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed. Equivalently this is interpreted as a position-dependent UV cutoff. For two-dimensional CFT vacua, we find the optimized metric is given by that of a hyperbolic space and we interpret this as a continuous limit of the conjectured relation between tensor networks and Anti--de Sitter (AdS)/conformal field theory (CFT) correspondence. We confirm our procedure for excited states, the thermofield double state, the Sachdev-Ye-Kitaev model and discuss its extension to higher-dimensional CFTs. We also show that when applied to reduced density matrices, it reproduces entanglement wedges and holographic entanglement entropy. We suggest that our optimization prescription is analogous to the estimation of computational complexity. |
hep-th/0105279 | Berndt Muller | T.S. Biro, S.G. Matinyan, and B. M\"uller | Chaotic Quantization of Classical Gauge Fields | null | Found.Phys.Lett.14:471-485,2001 | 10.1023/A:1015565621215 | DUKE-TH-01-211 | hep-th | null | We argue that the quantized non-Abelian gauge theory can be obtained as the
infrared limit of the corresponding classical gauge theory in a higher
dimension. We show how the transformation from classical to quantum field
theory emerges and calculate Planck's constant from quantities defined in the
underlying classical gauge theory.
| [
{
"created": "Mon, 28 May 2001 18:49:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Biro",
"T. S.",
""
],
[
"Matinyan",
"S. G.",
""
],
[
"Müller",
"B.",
""
]
] | We argue that the quantized non-Abelian gauge theory can be obtained as the infrared limit of the corresponding classical gauge theory in a higher dimension. We show how the transformation from classical to quantum field theory emerges and calculate Planck's constant from quantities defined in the underlying classical gauge theory. |
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