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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2109.07639 | Nikita Zaigraev | Ioseph Buchbinder, Evgeny Ivanov, Nikita Zaigraev | Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$
supersymmetric higher spins | 0 + 29 pages, section 1 partly rearranged, section 4 extended,
further typos corrected; published version | null | 10.1007/JHEP12(2021)016 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present, for the first time, the complete off-shell $4D, {\cal N}=2$
superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields,
using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge
supermultiplet is accommodated by two real analytic bosonic superfields
$h^{++}_{\alpha(s-1)\dot\alpha(s-1)}$, $h^{++}_{\alpha(s-2)\dot\alpha(s-2)}$
and two conjugated complex analytic spinor superfields
$h^{+3}_{\alpha(s-1)\dot\alpha(s-2)}$, $h^{+3}_{\alpha(s-2)\dot\alpha(s-1)}\,$,
where $\alpha(s) := (\alpha_1\ldots \alpha_s), \dot\alpha(s) :=
(\dot\alpha_1\ldots \dot\alpha_s)$. Like in the harmonic superspace
formulations of ${\cal N}=2$ Maxwell and supergravity theories, an infinite
number of original off-shell degrees of freedom is reduced to the finite set
(in WZ-type gauge) due to an infinite number of the component gauge parameters
in the analytic superfield parameters. On shell, the standard spin content
$({\bf s, s-1/2, s-1/2, s-1})$ is restored. For ${\bf s}=2$ the action
describes the linearized version of "minimal" ${\cal N}=2$ Einstein
supergravity.
| [
{
"created": "Thu, 16 Sep 2021 00:46:29 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2021 17:29:36 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Dec 2021 12:23:12 GMT",
"version": "v3"
}
] | 2021-12-22 | [
[
"Buchbinder",
"Ioseph",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Zaigraev",
"Nikita",
""
]
] | We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields $h^{++}_{\alpha(s-1)\dot\alpha(s-1)}$, $h^{++}_{\alpha(s-2)\dot\alpha(s-2)}$ and two conjugated complex analytic spinor superfields $h^{+3}_{\alpha(s-1)\dot\alpha(s-2)}$, $h^{+3}_{\alpha(s-2)\dot\alpha(s-1)}\,$, where $\alpha(s) := (\alpha_1\ldots \alpha_s), \dot\alpha(s) := (\dot\alpha_1\ldots \dot\alpha_s)$. Like in the harmonic superspace formulations of ${\cal N}=2$ Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content $({\bf s, s-1/2, s-1/2, s-1})$ is restored. For ${\bf s}=2$ the action describes the linearized version of "minimal" ${\cal N}=2$ Einstein supergravity. |
1510.07826 | Tatiana A. Ivanova | Tatiana A. Ivanova | Scattering of instantons, monopoles and vortices in higher dimensions | 10 pages; v2: 2 refs. added, published version; v3: typos corrected | Int. J. Geom. Methods Mod. Phys. 13 (2016) 1650032 | 10.1142/S0219887816500328 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Yang-Mills theory on manifolds ${\mathbb R}\times X$ with a
$d$-dimensional Riemannian manifold $X$ of special holonomy admitting gauge
instanton equations. Instantons are considered as particle-like solutions in
$d+1$ dimensions whose static configurations are concentrated on $X$. We study
how they evolve in time when considered as solutions of the Yang-Millsequations
on ${\mathbb R}\times X$ with moduli depending on time $t\in{\mathbb R}$. It is
shown that in the adiabatic limit, when the metric in the $X$ direction is
scaled down, the classical dynamics of slowly moving instantons corresponds to
a geodesic motion in the moduli space $\cal M$ of gauge instantons on $X$.
Similar results about geodesic motion in the moduli space of monopoles and
vortices in higher dimensions are briefly discussed.
| [
{
"created": "Tue, 27 Oct 2015 09:41:15 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 2015 15:12:27 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jan 2016 13:19:50 GMT",
"version": "v3"
}
] | 2016-01-28 | [
[
"Ivanova",
"Tatiana A.",
""
]
] | We consider Yang-Mills theory on manifolds ${\mathbb R}\times X$ with a $d$-dimensional Riemannian manifold $X$ of special holonomy admitting gauge instanton equations. Instantons are considered as particle-like solutions in $d+1$ dimensions whose static configurations are concentrated on $X$. We study how they evolve in time when considered as solutions of the Yang-Millsequations on ${\mathbb R}\times X$ with moduli depending on time $t\in{\mathbb R}$. It is shown that in the adiabatic limit, when the metric in the $X$ direction is scaled down, the classical dynamics of slowly moving instantons corresponds to a geodesic motion in the moduli space $\cal M$ of gauge instantons on $X$. Similar results about geodesic motion in the moduli space of monopoles and vortices in higher dimensions are briefly discussed. |
1205.2317 | Taeyoon Moon | Taeyoon Moon and Yun Soo Myung | Absorption cross section in Lifshitz black hole | 13 pages, 1 figure, version to appear in EPJC | null | 10.1140/epjc/s10052-012-2186-8 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the absorption cross section of a minimally coupled scalar in the
Lifshitz black hole obtained from the new massive gravity. The absorption cross
section reduces to the horizon area in the low energy and massless limit of
s-wave mode propagation, indicating that the Lifshitz black hole also satisfies
the universality of low energy absorption cross section for black holes.
| [
{
"created": "Thu, 10 May 2012 17:24:57 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Oct 2012 09:03:27 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Moon",
"Taeyoon",
""
],
[
"Myung",
"Yun Soo",
""
]
] | We derive the absorption cross section of a minimally coupled scalar in the Lifshitz black hole obtained from the new massive gravity. The absorption cross section reduces to the horizon area in the low energy and massless limit of s-wave mode propagation, indicating that the Lifshitz black hole also satisfies the universality of low energy absorption cross section for black holes. |
2212.13388 | Masaki Shigemori | Masaki Shigemori | Superstrata on Orbifolded Backgrounds | 27 pages + Appendix | JHEP02(2023)099 | 10.1007/JHEP02(2023)099 | YITP-22-162 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Some microstates of the Strominger-Vafa black hole are represented by smooth
horizonless geometries called superstrata. The standard superstrata are
deformations of ${\rm AdS}_3\times S^3$, but there are also generalizations of
superstrata on the orbifold $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. In this
paper, we discuss aspects of such orbifolded superstrata. We present a CFT
perspective on the structure of orbifolded superstrata, showing that they can
be constructed in a $p$-covering space of the orbifold CFT just as the standard
superstrata. We also explicitly write down and study the geometry of the
orbifolded superstrata, focusing on the difference from the non-orbifold case,
$p=1$. We discuss further generalization of superstrata to the ones on a
fractional spectral flow of $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. This
generalization involves new fractional mode excitations of the CFT side. We
estimate the number of those generalized superstrata, and show that their
entropy is too small to account for the Strominger-Vafa entropy. We will
discuss some implications of this result, related to the typical microstates of
the black hole and the relevant supersymmetry index.
| [
{
"created": "Tue, 27 Dec 2022 07:15:43 GMT",
"version": "v1"
}
] | 2023-02-13 | [
[
"Shigemori",
"Masaki",
""
]
] | Some microstates of the Strominger-Vafa black hole are represented by smooth horizonless geometries called superstrata. The standard superstrata are deformations of ${\rm AdS}_3\times S^3$, but there are also generalizations of superstrata on the orbifold $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. In this paper, we discuss aspects of such orbifolded superstrata. We present a CFT perspective on the structure of orbifolded superstrata, showing that they can be constructed in a $p$-covering space of the orbifold CFT just as the standard superstrata. We also explicitly write down and study the geometry of the orbifolded superstrata, focusing on the difference from the non-orbifold case, $p=1$. We discuss further generalization of superstrata to the ones on a fractional spectral flow of $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. This generalization involves new fractional mode excitations of the CFT side. We estimate the number of those generalized superstrata, and show that their entropy is too small to account for the Strominger-Vafa entropy. We will discuss some implications of this result, related to the typical microstates of the black hole and the relevant supersymmetry index. |
hep-th/0507055 | Lorenzo Mannelli | T. Banks, L. Mannelli, W. Fischler | Infrared Divergences in dS/CFT | 36 pages, 4 figures | null | null | Report-no: SCIPP 05/31 and UTTG-02-05 | hep-th astro-ph gr-qc hep-ph | null | dS/CFT gives a perturbatively gauge invariant definition of particle masses
in de Sitter (dS) space. We show, in a toy model in which the graviton is
replaced with a minimally coupled massless scalar field, that loop corrections
to these masses are infrared (IR) divergent. We argue that this implies
anomalous dependence of masses on the cosmological constant, in a true theory
of quantum gravity. This is in accord with the hypothesis of Cosmological SUSY
Breaking (CSB).
| [
{
"created": "Wed, 6 Jul 2005 13:19:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Banks",
"T.",
""
],
[
"Mannelli",
"L.",
""
],
[
"Fischler",
"W.",
""
]
] | dS/CFT gives a perturbatively gauge invariant definition of particle masses in de Sitter (dS) space. We show, in a toy model in which the graviton is replaced with a minimally coupled massless scalar field, that loop corrections to these masses are infrared (IR) divergent. We argue that this implies anomalous dependence of masses on the cosmological constant, in a true theory of quantum gravity. This is in accord with the hypothesis of Cosmological SUSY Breaking (CSB). |
hep-th/9704123 | Arvind Rajaraman | W. Fischler and A. Rajaraman | M(atrix) String Theory on K3 | 11 pages, latex | Phys.Lett. B411 (1997) 53-58 | 10.1016/S0370-2693(97)00994-5 | null | hep-th | null | We conjecture that M-theory compactified on an ALE space (or K3) is described
by 0-branes moving on the ALE space. We give evidence for this by showing that
if we compactify another circle, we recover string theory on the ALE space.
This guarantees that in the large N limit, the matrix model correctly describes
the force law between gravitons moving in an ALE background. We also show the
appearance in M(atrix) theory of the duality of M-theory on K3 with the
heterotic string on a three-torus.
| [
{
"created": "Tue, 15 Apr 1997 23:22:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Fischler",
"W.",
""
],
[
"Rajaraman",
"A.",
""
]
] | We conjecture that M-theory compactified on an ALE space (or K3) is described by 0-branes moving on the ALE space. We give evidence for this by showing that if we compactify another circle, we recover string theory on the ALE space. This guarantees that in the large N limit, the matrix model correctly describes the force law between gravitons moving in an ALE background. We also show the appearance in M(atrix) theory of the duality of M-theory on K3 with the heterotic string on a three-torus. |
0706.1603 | Yuichi Hoshino | Yuichi Hoshino | Solutions of Bethe-Salpter equations in QED3 | 14 pages, Revtex4,two figures.Add explanation for the boundary
conditions in section II-A,Section II-B is modified.References added.Abstract
modified | null | null | null | hep-th | null | To understand the mechanism of the fermion pair and fermion-antifermion pair
condensation,the solutions of Bethe-Salpeter equation in QED$_{3}$ is
examined.In the ladder appoximation our solution for the axial-scalar is
consistent with Ward-Takahashi-identity for the axial vector currents.Since the
massless scalar-vector sector is described by a coupled integral equation,it is
difficult to solve explicitly.We approximate the equation for large and small
momentum region separately and convert them into differential equations in
position space.These equation can be solved easily.Boundary condition at the
origin leads the eigenvalue for dimensionless coupling constant
$\lambda=e^{2}/m$.There exists solutions for massless scalar-vector
fermion-antifermion (fa) system with discrete spectrum. In our approximation
massless-scalar-vector ff systemes does not seem to exist.
| [
{
"created": "Tue, 12 Jun 2007 02:05:47 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2007 12:23:00 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jul 2007 00:25:39 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Jul 2007 13:27:34 GMT",
"version": "v4"
},
{
"cre... | 2007-07-09 | [
[
"Hoshino",
"Yuichi",
""
]
] | To understand the mechanism of the fermion pair and fermion-antifermion pair condensation,the solutions of Bethe-Salpeter equation in QED$_{3}$ is examined.In the ladder appoximation our solution for the axial-scalar is consistent with Ward-Takahashi-identity for the axial vector currents.Since the massless scalar-vector sector is described by a coupled integral equation,it is difficult to solve explicitly.We approximate the equation for large and small momentum region separately and convert them into differential equations in position space.These equation can be solved easily.Boundary condition at the origin leads the eigenvalue for dimensionless coupling constant $\lambda=e^{2}/m$.There exists solutions for massless scalar-vector fermion-antifermion (fa) system with discrete spectrum. In our approximation massless-scalar-vector ff systemes does not seem to exist. |
2404.01371 | Antonia Paraskevopoulou | Ralph Blumenhagen, Niccol\`o Cribiori, Aleksandar Gligovic, Antonia
Paraskevopoulou | Emergence of $R^4$-terms in M-theory | 42 pages + appendices, 1 figure, v2: added clarifications regarding
equation 6.8 and references, v3: version published in JHEP | null | 10.1007/JHEP07(2024)018 | MPP-2024-72 | hep-th | http://creativecommons.org/licenses/by/4.0/ | It has been recently suggested that the strong Emergence Proposal is realized
in M-theory limits by integrating out all light towers of states with a typical
mass scale not larger than the species scale, i.e. the eleventh dimensional
Planck mass. Within the BPS sector, these are transverse $M2$- and $M5$-branes,
that can be wrapped and particle-like, carrying Kaluza-Klein momentum along the
compact directions. We provide additional evidence for this picture by
revisiting and investigating further the computation of $R^4$-interactions in
M-theory \`a la Green-Gutperle-Vanhove. A central aspect is a novel
UV-regularization of Schwinger-like integrals, whose actual meaning and power
we clarify by first applying it to string perturbation theory. We consider then
toroidal compactifications of M-theory and provide evidence that integrating
out all light towers of states via Schwinger-like integrals thus regularized
yields the complete result for $R^4$-interactions. In particular, this includes
terms that are tree-level, one-loop and space-time instanton corrections from
the weakly coupled point of view. Finally, we comment on the conceptual
difference of our approach to earlier closely related work by Kiritsis-Pioline
and Obers-Pioline, leading to a correspondence between two types of constrained
Eisenstein series.
| [
{
"created": "Mon, 1 Apr 2024 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2024 18:10:27 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jul 2024 17:03:20 GMT",
"version": "v3"
}
] | 2024-07-08 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Cribiori",
"Niccolò",
""
],
[
"Gligovic",
"Aleksandar",
""
],
[
"Paraskevopoulou",
"Antonia",
""
]
] | It has been recently suggested that the strong Emergence Proposal is realized in M-theory limits by integrating out all light towers of states with a typical mass scale not larger than the species scale, i.e. the eleventh dimensional Planck mass. Within the BPS sector, these are transverse $M2$- and $M5$-branes, that can be wrapped and particle-like, carrying Kaluza-Klein momentum along the compact directions. We provide additional evidence for this picture by revisiting and investigating further the computation of $R^4$-interactions in M-theory \`a la Green-Gutperle-Vanhove. A central aspect is a novel UV-regularization of Schwinger-like integrals, whose actual meaning and power we clarify by first applying it to string perturbation theory. We consider then toroidal compactifications of M-theory and provide evidence that integrating out all light towers of states via Schwinger-like integrals thus regularized yields the complete result for $R^4$-interactions. In particular, this includes terms that are tree-level, one-loop and space-time instanton corrections from the weakly coupled point of view. Finally, we comment on the conceptual difference of our approach to earlier closely related work by Kiritsis-Pioline and Obers-Pioline, leading to a correspondence between two types of constrained Eisenstein series. |
0904.0784 | Murat Gunaydin | Murat Gunaydin and Oleksandr Pavlyk | Quasiconformal Realizations of E_{6(6)}, E_{7(7)}, E_{8(8)} and
SO(n+3,m+3), N=4 and N>4 Supergravity and Spherical Vectors | 40 pages; Latex file | null | null | null | hep-th gr-qc math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After reviewing the underlying algebraic structures we give a unified
realization of split exceptional groups F_{4(4)},E_{6(6)}, E_{7(7)}, E_{8(8)}
and of SO(n+3,m+3) as quasiconformal groups that is covariant with respect to
their (Lorentz) subgroups SL(3,R), SL(3,R)XSL(3,R), SL(6,R), E_{6(6)} and
SO(n,m)XSO(1,1), respectively. We determine the spherical vectors of
quasiconformal realizations of all these groups twisted by a unitary character
$\nu$. We also give their quadratic Casimir operators and determine their
values in terms of $\nu$ and the dimension $n_V$ of the underlying Jordan
algebras. For $\nu= -(n_V+2)+i\rho$ the quasiconformal action induces unitary
representations on the space of square integrable functions in $(2n_V+3)$
variables, that belong to the principle series. For special discrete values of
$\nu$ the quasiconformal action leads to unitary representations belonging to
the discrete series and their continuations. The manifolds that correspond to
"quasiconformal compactifications" of the respective $(2n_V+3)$ dimensional
spaces are also given. We discuss the relevance of our results to N=8
supergravity and to N=4 Maxwell-Einstein supergravity theories and, in
particular, to the proposal that three and four dimensional U-duality groups
act as spectrum generating quasiconformal and conformal groups of the
corresponding four and five dimensional supergravity theories, respectively.
| [
{
"created": "Mon, 6 Apr 2009 19:53:56 GMT",
"version": "v1"
}
] | 2009-04-15 | [
[
"Gunaydin",
"Murat",
""
],
[
"Pavlyk",
"Oleksandr",
""
]
] | After reviewing the underlying algebraic structures we give a unified realization of split exceptional groups F_{4(4)},E_{6(6)}, E_{7(7)}, E_{8(8)} and of SO(n+3,m+3) as quasiconformal groups that is covariant with respect to their (Lorentz) subgroups SL(3,R), SL(3,R)XSL(3,R), SL(6,R), E_{6(6)} and SO(n,m)XSO(1,1), respectively. We determine the spherical vectors of quasiconformal realizations of all these groups twisted by a unitary character $\nu$. We also give their quadratic Casimir operators and determine their values in terms of $\nu$ and the dimension $n_V$ of the underlying Jordan algebras. For $\nu= -(n_V+2)+i\rho$ the quasiconformal action induces unitary representations on the space of square integrable functions in $(2n_V+3)$ variables, that belong to the principle series. For special discrete values of $\nu$ the quasiconformal action leads to unitary representations belonging to the discrete series and their continuations. The manifolds that correspond to "quasiconformal compactifications" of the respective $(2n_V+3)$ dimensional spaces are also given. We discuss the relevance of our results to N=8 supergravity and to N=4 Maxwell-Einstein supergravity theories and, in particular, to the proposal that three and four dimensional U-duality groups act as spectrum generating quasiconformal and conformal groups of the corresponding four and five dimensional supergravity theories, respectively. |
0912.0425 | Paolo Valtancoli Dr | Paolo Valtancoli | Wilson loop in 2d noncommutative gauge theories | 14 pages. no figures, LaTeX | null | 10.1142/S0217751X10048184 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider the perturbative expansion of the Wilson loop in 2d
noncommutative gauge theories, using an improved integration method. For the
class of maximally crossed diagrams in the $\theta \to \infty$ limit we find an
intriguing formula, easily generalizable to all orders in perturbation theory.
| [
{
"created": "Wed, 2 Dec 2009 13:50:52 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Valtancoli",
"Paolo",
""
]
] | We reconsider the perturbative expansion of the Wilson loop in 2d noncommutative gauge theories, using an improved integration method. For the class of maximally crossed diagrams in the $\theta \to \infty$ limit we find an intriguing formula, easily generalizable to all orders in perturbation theory. |
hep-th/0107149 | C. M. Hull | C.M. Hull | Duality in Gravity and Higher Spin Gauge Fields | 33 pages. References added | JHEP 0109:027,2001 | 10.1088/1126-6708/2001/09/027 | QMUL-PH-01-01 | hep-th | null | Dual field theory realisations are given for linearised gravity in terms of
gauge fields in exotic representations of the Lorentz group. The field
equations and dual representations are discussed for a wide class of higher
spin gauge fields. For non-linear Einstein gravity, such transformations can be
implemented locally in light-cone gauge, or partially implemented in the
presence of a Killing vector. Sources and the relation to Kaluza-Klein
monopoles are discussed.
| [
{
"created": "Wed, 18 Jul 2001 13:18:29 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2001 16:56:12 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Sep 2001 15:11:39 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Hull",
"C. M.",
""
]
] | Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge fields. For non-linear Einstein gravity, such transformations can be implemented locally in light-cone gauge, or partially implemented in the presence of a Killing vector. Sources and the relation to Kaluza-Klein monopoles are discussed. |
2004.03304 | Ivan Masterov | Sergei Filyukov, Ivan Masterov | On the Schwarzian counterparts of conformal mechanics | V2: 1+22 pages; typos corrected, minor text improvements, references
and acknowledgements added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to
the coupling constant in the de Alfaro-Fubini-Furlan (DAFF) model, there exists
a link between these two systems. In particular, the equation of motion,
SL(2,R)-symmetry transformations and the corresponding conserved charges of SM
can be derived from those of the DAFF model by applying a coordinate
transformation of a special type, while the general solution of the DAFF system
maps to the velocity function of SM. A way to reproduce this link via the
method of nonlinear realizations is presented. Schwarzian counterparts of the
DAFF mechanics in Newton-Hooke (NH) spacetime as well as a higher derivative
generalization of the DAFF model are discussed.
| [
{
"created": "Tue, 7 Apr 2020 12:19:09 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2020 09:12:08 GMT",
"version": "v2"
}
] | 2020-04-15 | [
[
"Filyukov",
"Sergei",
""
],
[
"Masterov",
"Ivan",
""
]
] | It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (DAFF) model, there exists a link between these two systems. In particular, the equation of motion, SL(2,R)-symmetry transformations and the corresponding conserved charges of SM can be derived from those of the DAFF model by applying a coordinate transformation of a special type, while the general solution of the DAFF system maps to the velocity function of SM. A way to reproduce this link via the method of nonlinear realizations is presented. Schwarzian counterparts of the DAFF mechanics in Newton-Hooke (NH) spacetime as well as a higher derivative generalization of the DAFF model are discussed. |
2205.05356 | Antal Jakovac | A. Jakovac, P. Mati, P. Posfay | Spontaneous Symmetry Breaking without classical fields: a Functional
Renormalization Group approach | 12 pages, 2 figures | null | 10.1103/PhysRevD.106.025017 | null | hep-th hep-ph | http://creativecommons.org/licenses/by-sa/4.0/ | We propose an approach to describe Spontaneous Symmetry Breaking (SSB) that
does not rely on the order parameter dependent free energy (Landau theory). We
use the Functional Renormalization Group (FRG) evolution of the explicitly
broken theory, using a truncation scheme that is compatible with the Ward
identities. To represent the symmetry breaking, we propose to use the "Ward
ratio" which is zero in the symmetric phase and unity in the broken phase. In
this approach a unified scale evolution of the effective potential is
applicable in both phases. It is peculiar that the scale evolution is
accelerated in the critical regime.
| [
{
"created": "Wed, 11 May 2022 09:04:55 GMT",
"version": "v1"
}
] | 2022-08-31 | [
[
"Jakovac",
"A.",
""
],
[
"Mati",
"P.",
""
],
[
"Posfay",
"P.",
""
]
] | We propose an approach to describe Spontaneous Symmetry Breaking (SSB) that does not rely on the order parameter dependent free energy (Landau theory). We use the Functional Renormalization Group (FRG) evolution of the explicitly broken theory, using a truncation scheme that is compatible with the Ward identities. To represent the symmetry breaking, we propose to use the "Ward ratio" which is zero in the symmetric phase and unity in the broken phase. In this approach a unified scale evolution of the effective potential is applicable in both phases. It is peculiar that the scale evolution is accelerated in the critical regime. |
hep-th/0209108 | Feinberg Joshua | Joshua Feinberg (U. of Haifa and Technion) | Marginally Stable Topologically Non-Trivial Solitons in the Gross-Neveu
Model | 5 pages, 3 eps figures (revtex 4), v2: minor corrections. Details of
calculations now appear in hep-th/0305240 v3: version accepted for
publication in Physics Letters B, includes a simplified formula for the
profile of the heavier soliton plus some additional minor changes | Phys.Lett. B569 (2003) 204-210 | 10.1016/j.physletb.2003.07.037 | YITP-02-55 | hep-th cond-mat math-ph math.MP | null | We show that a kink and a topologically trivial soliton in the Gross-Neveu
model form, in the large-N limit, a marginally stable static configuration,
which is bound at threshold. The energy of the resulting composite system does
not depend on the separation of its solitonic constituents, which serves as a
modulus governing the profile of the compound soliton. Thus, in the large-N
limit, a kink and a non-topological soliton exert no force on each other.
| [
{
"created": "Fri, 13 Sep 2002 06:51:44 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2003 12:39:27 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jul 2003 14:42:51 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Feinberg",
"Joshua",
"",
"U. of Haifa and Technion"
]
] | We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other. |
1006.3145 | Motomu Tsuda | Kazunari Shima and Motomu Tsuda | On SUSY breaking from NL/L SUSY relation | 11 pages | Phys.Lett.B693:481-484,2010 | 10.1016/j.physletb.2010.08.070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show in two dimensional space-time (d = 2) the relation between a N = 2
nonlinear supersymmetric (NLSUSY) model and a N = 2 linear (L) SUSY Yang-Mills
(SYM) theory with matter (N = 2 LSUSY QCD theory). We give a new interpretation
of four Nambu-Goldstone fermion (superon) contact terms, which emerge from a N
= 2 general SUSY QCD (composite) action, as mass terms for LSUSY
supermultiplets and discuss the possible SUSY breaking mechanism in NL/L SUSY
relation for SUSY gauge theories in d = 2.
| [
{
"created": "Wed, 16 Jun 2010 07:20:17 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We show in two dimensional space-time (d = 2) the relation between a N = 2 nonlinear supersymmetric (NLSUSY) model and a N = 2 linear (L) SUSY Yang-Mills (SYM) theory with matter (N = 2 LSUSY QCD theory). We give a new interpretation of four Nambu-Goldstone fermion (superon) contact terms, which emerge from a N = 2 general SUSY QCD (composite) action, as mass terms for LSUSY supermultiplets and discuss the possible SUSY breaking mechanism in NL/L SUSY relation for SUSY gauge theories in d = 2. |
hep-th/9503168 | Vadim Kuznetsov | V.B. Kuznetsov, M.F. Jorgensen and P.L. Christiansen | New boundary conditions for integrable lattices | 22 pages, latex, no figures | J.Phys. A28 (1995) 4639-4654 | 10.1088/0305-4470/28/16/020 | 95-08 (Math. preprint series, University of Amsterdam) | hep-th | null | New boundary conditions for integrable nonlinear lattices of the XXX type,
such as the Heisenberg chain and the Toda lattice are presented. These
integrable extensions are formulated in terms of a generic XXX Heisenberg
magnet interacting with two additional spins at each end of the chain. The
construction uses the most general rank 1 ansatz for the 2x2 L-operator
satisfying the reflection equation algebra with rational r-matrix. The
associated quadratic algebra is shown to be the one of dynamical symmetry for
the A1 and BC2 Calogero-Moser problems. Other physical realizations of our
quadratic algebra are also considered.
| [
{
"created": "Fri, 24 Mar 1995 11:19:58 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kuznetsov",
"V. B.",
""
],
[
"Jorgensen",
"M. F.",
""
],
[
"Christiansen",
"P. L.",
""
]
] | New boundary conditions for integrable nonlinear lattices of the XXX type, such as the Heisenberg chain and the Toda lattice are presented. These integrable extensions are formulated in terms of a generic XXX Heisenberg magnet interacting with two additional spins at each end of the chain. The construction uses the most general rank 1 ansatz for the 2x2 L-operator satisfying the reflection equation algebra with rational r-matrix. The associated quadratic algebra is shown to be the one of dynamical symmetry for the A1 and BC2 Calogero-Moser problems. Other physical realizations of our quadratic algebra are also considered. |
2311.10564 | Ziqi Yan | Chris D. A. Blair, Johannes Lahnsteiner, Niels A. J. Obers, Ziqi Yan | Unification of Decoupling Limits in String and M-theory | 7 pages, 1 figure; v2: published version, clarifications added | Phys. Rev. Lett. 132, 161603 (2024) | 10.1103/PhysRevLett.132.161603 | NORDITA-2023-071, IFT-UAM/CSIC-23-151 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study and extend the duality web unifying different decoupling limits of
type II superstring theories and M-theory. We systematically build connections
to different corners, such as Matrix theories, nonrelativistic string and
M-theory, tensionless (and ambitwistor) string theory, Carrollian string
theory, and Spin Matrix limits of AdS/CFT. We discuss target space, worldsheet,
and worldvolume aspects of these limits in arbitrary curved backgrounds.
| [
{
"created": "Fri, 17 Nov 2023 14:59:23 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Apr 2024 10:17:22 GMT",
"version": "v2"
}
] | 2024-04-23 | [
[
"Blair",
"Chris D. A.",
""
],
[
"Lahnsteiner",
"Johannes",
""
],
[
"Obers",
"Niels A. J.",
""
],
[
"Yan",
"Ziqi",
""
]
] | We study and extend the duality web unifying different decoupling limits of type II superstring theories and M-theory. We systematically build connections to different corners, such as Matrix theories, nonrelativistic string and M-theory, tensionless (and ambitwistor) string theory, Carrollian string theory, and Spin Matrix limits of AdS/CFT. We discuss target space, worldsheet, and worldvolume aspects of these limits in arbitrary curved backgrounds. |
1408.1957 | Rak-Kyeong Seong | Massimo Bianchi, Stefano Cremonesi, Amihay Hanany, Jose Francisco
Morales, Daniel Ricci Pacifici, Rak-Kyeong Seong | Mass-deformed Brane Tilings | 40 pages, 13 figures | JHEP 1410:027,2014 | 10.1007/JHEP10(2014)027 | Imperial/TP/13/AH/06, KIAS-P14038 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study renormalization group flows among N=1 SCFTs realized on the
worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting
a brane tiling description. The flows are triggered by masses for adjoint or
vector-like pairs of bifundamentals and are generalizations of the
Klebanov-Witten construction of the N=1 theory for the conifold starting from
the N=2 theory for the C^2/Z_2 orbifold. In order to preserve the toric
condition pairs of masses with opposite signs have to be switched on. We offer
a geometric interpretation of the flows as complex deformations of the
Calabi-Yau singularity preserving the toric condition. For orbifolds, we
support this interpretation by an explicit string amplitude computation of the
gauge invariant mass terms generated by imaginary self-dual 3-form fluxes in
the twisted sector. In agreement with the holographic a-theorem, the volume of
the Sasaki-Einstein 5-base of the Calabi-Yau cone always increases along the
flow.
| [
{
"created": "Fri, 8 Aug 2014 20:00:01 GMT",
"version": "v1"
}
] | 2014-10-14 | [
[
"Bianchi",
"Massimo",
""
],
[
"Cremonesi",
"Stefano",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Morales",
"Jose Francisco",
""
],
[
"Pacifici",
"Daniel Ricci",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | We study renormalization group flows among N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The flows are triggered by masses for adjoint or vector-like pairs of bifundamentals and are generalizations of the Klebanov-Witten construction of the N=1 theory for the conifold starting from the N=2 theory for the C^2/Z_2 orbifold. In order to preserve the toric condition pairs of masses with opposite signs have to be switched on. We offer a geometric interpretation of the flows as complex deformations of the Calabi-Yau singularity preserving the toric condition. For orbifolds, we support this interpretation by an explicit string amplitude computation of the gauge invariant mass terms generated by imaginary self-dual 3-form fluxes in the twisted sector. In agreement with the holographic a-theorem, the volume of the Sasaki-Einstein 5-base of the Calabi-Yau cone always increases along the flow. |
1806.03271 | Yiyang Jia | Yiyang Jia, Jacobus J. M. Verbaarschot | Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev
model, and the enumeration of intersection graphs | null | null | 10.1007/JHEP11(2018)031 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we explain the relation between the free energy of the SYK
model for $N$ Majorana fermions with a random $q$-body interaction and the
moments of its spectral density. The high temperature expansion of the free
energy gives the cumulants of the spectral density. Using that the cumulants
are extensive we find the $p$ dependence of the $1/N^2$ correction of the
$2p$-th moments obtained in 1801.02696. Conversely, the $1/N^2$ corrections to
the moments give the correction (even $q$) to the $\beta^6$ coefficient of the
high temperature expansion of the free energy for arbitrary $q$. Our result
agrees with the $1/q^3$ correction obtained by Tarnopolsky using a mean field
expansion. These considerations also lead to a more powerful method for solving
the moment problem and intersection-graph enumeration problems. We take
advantage of this and push the moment calculation to $1/N^3$ order and find
surprisingly simple enumeration identities for intersection graphs. The $1/N^3$
corrections to the moments, give corrections to the $\beta^8$ coefficient (for
even $q$) of the high temperature expansion of the free energy which have not
been calculated before. Results for odd $q$, where the SYK `Hamiltonian' is the
supercharge of a supersymmetric theory are discussed as well.
| [
{
"created": "Fri, 8 Jun 2018 16:47:45 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jun 2018 21:08:29 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2018 06:34:49 GMT",
"version": "v3"
}
] | 2018-11-21 | [
[
"Jia",
"Yiyang",
""
],
[
"Verbaarschot",
"Jacobus J. M.",
""
]
] | In this paper we explain the relation between the free energy of the SYK model for $N$ Majorana fermions with a random $q$-body interaction and the moments of its spectral density. The high temperature expansion of the free energy gives the cumulants of the spectral density. Using that the cumulants are extensive we find the $p$ dependence of the $1/N^2$ correction of the $2p$-th moments obtained in 1801.02696. Conversely, the $1/N^2$ corrections to the moments give the correction (even $q$) to the $\beta^6$ coefficient of the high temperature expansion of the free energy for arbitrary $q$. Our result agrees with the $1/q^3$ correction obtained by Tarnopolsky using a mean field expansion. These considerations also lead to a more powerful method for solving the moment problem and intersection-graph enumeration problems. We take advantage of this and push the moment calculation to $1/N^3$ order and find surprisingly simple enumeration identities for intersection graphs. The $1/N^3$ corrections to the moments, give corrections to the $\beta^8$ coefficient (for even $q$) of the high temperature expansion of the free energy which have not been calculated before. Results for odd $q$, where the SYK `Hamiltonian' is the supercharge of a supersymmetric theory are discussed as well. |
1110.6429 | Lisa Freyhult | Lisa Freyhult | Generalised scaling at subleading order | 19 pages, v2: Equation corrected and references added, v3: references
added, published version | null | 10.1007/JHEP01(2012)026 | UUITP-30/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study operators in the sl(2) sector of N=4 SYM in the generalised scaling
limit, where the spin is large and the length of the operator scales with the
logarithm of the spin. At leading order in the large spin expansion the scaling
dimension at strong coupling is given in terms of the free energy of the O(6)
model. We investigate the first subleading corrections to the scaling dimension
and find that these too can be derived from the O(6) model in the strong
coupling limit.
| [
{
"created": "Fri, 28 Oct 2011 19:31:10 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2011 13:08:35 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Jan 2012 07:57:21 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Freyhult",
"Lisa",
""
]
] | We study operators in the sl(2) sector of N=4 SYM in the generalised scaling limit, where the spin is large and the length of the operator scales with the logarithm of the spin. At leading order in the large spin expansion the scaling dimension at strong coupling is given in terms of the free energy of the O(6) model. We investigate the first subleading corrections to the scaling dimension and find that these too can be derived from the O(6) model in the strong coupling limit. |
1112.4924 | Ivan Masterov | Ivan Masterov | N=2 supersymmetric extension of l-conformal Galilei algebra | V4: 8 pages, references and acknowledgements added | null | 10.1063/1.4732459 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N=2 supersymmetric extension of the l-conformal Galilei algebra is
constructed. A relation between its representations in flat spacetime and in
Newton-Hooke spacetime is discussed. An infinite-dimensional generalization of
the superalgebra is given.
| [
{
"created": "Wed, 21 Dec 2011 04:50:39 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2011 11:03:36 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Jun 2012 08:20:29 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Apr 2013 16:10:23 GMT",
"version": "v4"
}
] | 2015-06-03 | [
[
"Masterov",
"Ivan",
""
]
] | N=2 supersymmetric extension of the l-conformal Galilei algebra is constructed. A relation between its representations in flat spacetime and in Newton-Hooke spacetime is discussed. An infinite-dimensional generalization of the superalgebra is given. |
hep-th/9507060 | Petr Horava | Petr Horava (Princeton University) | Topological Rigid String Theory and Two Dimensional QCD | 55 pages, phyzzx, no figures. (One subsection added, on "Comparison
to Previous Results"; final version to appear in Nucl. Phys. B.) | Nucl.Phys. B463 (1996) 238-286 | 10.1016/0550-3213(96)00036-3 | PUPT-1547 | hep-th | null | We present a string theory that reproduces the large-$N$ expansion of two
dimensional Yang-Mills gauge theory on arbitrary surfaces. First, a new class
of topological sigma models is introduced, with path integrals localized to the
moduli space of harmonic maps. The Lagrangian of these harmonic topological
sigma models is of fourth order in worldsheet derivatives. Then we gauge
worldsheet diffeomorphisms by introducing the induced worldsheet metric. This
leads to a topological string theory, whose Lagrangian coincides in the bose
sector with the rigid string Lagrangian discussed some time ago by Polyakov and
others as a candidate for QCD string theory. The path integral of this
topological rigid string theory is localized to the moduli spaces of
minimal-area maps, and calculates their Euler numbers. The dependence of the
large-$N$ QCD partition functions on the target area emerges from measuring the
volume of the moduli spaces, and can be reproduced by adding a Nambu-Goto term
(improved by fermionic terms) to the Lagrangian of the topological rigid
string.
| [
{
"created": "Mon, 10 Jul 1995 16:26:38 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 1996 21:36:33 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Horava",
"Petr",
"",
"Princeton University"
]
] | We present a string theory that reproduces the large-$N$ expansion of two dimensional Yang-Mills gauge theory on arbitrary surfaces. First, a new class of topological sigma models is introduced, with path integrals localized to the moduli space of harmonic maps. The Lagrangian of these harmonic topological sigma models is of fourth order in worldsheet derivatives. Then we gauge worldsheet diffeomorphisms by introducing the induced worldsheet metric. This leads to a topological string theory, whose Lagrangian coincides in the bose sector with the rigid string Lagrangian discussed some time ago by Polyakov and others as a candidate for QCD string theory. The path integral of this topological rigid string theory is localized to the moduli spaces of minimal-area maps, and calculates their Euler numbers. The dependence of the large-$N$ QCD partition functions on the target area emerges from measuring the volume of the moduli spaces, and can be reproduced by adding a Nambu-Goto term (improved by fermionic terms) to the Lagrangian of the topological rigid string. |
1405.1970 | Hans-Peter Pavel | Hans-Peter Pavel | Unconstrained Hamiltonian formulation of low energy QCD | Contribution to the Proceedings of the "International Conference on
New Frontiers in Physics 2013" Kolymbari, Crete, Greece, 28.8.-5.9.2013. 10
pages, 3 figures | EPJ Web of Conferences 71, 00104 (2014) | 10.1051/epjconf/20147100104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a generalized polar decomposition of the gauge fields into
gauge-rotation and gauge-invariant parts, which Abelianises the Non-Abelian
Gauss-law constraints, an unconstrained Hamiltonian formulation of QCD can be
achieved. The exact implementation of the Gauss laws reduces the colored spin-1
gluons and spin-1/2 quarks to unconstrained colorless spin-0, spin-1, spin-2
and spin-3 glueball fields and colorless Rarita-Schwinger fields. The obtained
physical Hamiltonian naturally admits a systematic strong-coupling expansion in
powers of \lambda=g^{-2/3}, equivalent to an expansion in the number of spatial
derivatives. The leading-order term corresponds to non-interacting
hybrid-glueballs, whose low-lying spectrum can be calculated with high accuracy
by solving the Schr\"odinger-equation of the Dirac-Yang-Mills quantum mechanics
of spatially constant fields (at the moment only for the 2-color case). The
discrete glueball excitation spectrum shows a universal string-like behaviour
with practically all excitation energy going in to the increase of the
strengths of merely two fields, the "constant Abelian fields" corresponding to
the zero-energy valleys of the chromomagnetic potential. Inclusion of the
fermionic degrees of freedom significantly lowers the spectrum and allows for
the study of the sigma meson. Higher-order terms in \lambda lead to
interactions between the hybrid-glueballs and can be taken into account
systematically using perturbation theory, allowing for the study of
IR-renormalisation and Lorentz invariance. The existence of the generalized
polar decomposition used, the position of the zeros of the corresponding
Jacobian (Gribov horizons), and the ranges of the physical variables can be
investigated by solving a system of algebraic equations. It is exactly solvable
for 1 spatial dimension and several numerical solutions can be found for 2 and
3 spatial dimensions.
| [
{
"created": "Thu, 8 May 2014 15:32:44 GMT",
"version": "v1"
}
] | 2014-05-09 | [
[
"Pavel",
"Hans-Peter",
""
]
] | Using a generalized polar decomposition of the gauge fields into gauge-rotation and gauge-invariant parts, which Abelianises the Non-Abelian Gauss-law constraints, an unconstrained Hamiltonian formulation of QCD can be achieved. The exact implementation of the Gauss laws reduces the colored spin-1 gluons and spin-1/2 quarks to unconstrained colorless spin-0, spin-1, spin-2 and spin-3 glueball fields and colorless Rarita-Schwinger fields. The obtained physical Hamiltonian naturally admits a systematic strong-coupling expansion in powers of \lambda=g^{-2/3}, equivalent to an expansion in the number of spatial derivatives. The leading-order term corresponds to non-interacting hybrid-glueballs, whose low-lying spectrum can be calculated with high accuracy by solving the Schr\"odinger-equation of the Dirac-Yang-Mills quantum mechanics of spatially constant fields (at the moment only for the 2-color case). The discrete glueball excitation spectrum shows a universal string-like behaviour with practically all excitation energy going in to the increase of the strengths of merely two fields, the "constant Abelian fields" corresponding to the zero-energy valleys of the chromomagnetic potential. Inclusion of the fermionic degrees of freedom significantly lowers the spectrum and allows for the study of the sigma meson. Higher-order terms in \lambda lead to interactions between the hybrid-glueballs and can be taken into account systematically using perturbation theory, allowing for the study of IR-renormalisation and Lorentz invariance. The existence of the generalized polar decomposition used, the position of the zeros of the corresponding Jacobian (Gribov horizons), and the ranges of the physical variables can be investigated by solving a system of algebraic equations. It is exactly solvable for 1 spatial dimension and several numerical solutions can be found for 2 and 3 spatial dimensions. |
0903.1063 | David A. Lowe | David A. Lowe | Black hole complementarity from AdS/CFT | 25 pages, 4 figures | Phys.Rev.D79:106008,2009 | 10.1103/PhysRevD.79.106008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal
Field Theory) correspondence, where operators have integer conformal
dimensions. In this model, bulk causality follows from boundary analyticity,
even in nontrivial black hole backgrounds that break the underlying conformal
symmetry. This allows a natural set of quasi-local bulk observables to be
constructed. Estimates of finite central charge corrections to semiclassical
correlators are made. These corrections are used to determine the regime of
validity of effective field theory in the bulk spacetime. The results are
consistent with black hole complementarity.
| [
{
"created": "Thu, 5 Mar 2009 19:13:04 GMT",
"version": "v1"
}
] | 2009-07-30 | [
[
"Lowe",
"David A.",
""
]
] | We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in nontrivial black hole backgrounds that break the underlying conformal symmetry. This allows a natural set of quasi-local bulk observables to be constructed. Estimates of finite central charge corrections to semiclassical correlators are made. These corrections are used to determine the regime of validity of effective field theory in the bulk spacetime. The results are consistent with black hole complementarity. |
1411.2658 | Diego Redigolo | Riccardo Argurio, Daniele Musso, Diego Redigolo | Anatomy of new SUSY breaking holographic RG flows | 70 pages, 20 figures | JHEP 1503 (2015) 086 | 10.1007/JHEP03(2015)086 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find and thoroughly study new supergravity domain wall solutions which are
holographic realizations of supersymmetry breaking strongly coupled gauge
theories. We set ourselves in an N=2 gauged supergravity with a minimal content
in order to reproduce a dual N=1 effective SCFT which has a U(1)_R symmetry, a
chiral operator whose components are responsible for triggering the RG flow,
and an additional U(1)_F symmetry. We present a full three dimensional
parameter space of solutions, which generically break supersymmetry. Some known
solutions are recovered for specific sets of values of the parameters, with the
new solutions interpolating between them. The generic backgrounds being
singular, we provide a stability test of their dual theories by showing that
there are no tachyonic resonances in the two point correlators. We compute the
latter by holographic renormalization. We also carefully analyze the appearance
of massless modes, such as the dilaton and the R axion, when the respective
symmetries are spontaneously broken, and their lifting when the breaking is
explicit. We further comment on the application of such class of backgrounds as
archetypes of strongly coupled hidden sectors for gauge mediation of
supersymmetry breaking. In particular, we show that it is possible to model in
this way all types of hierarchies between the visible sector gaugino and
sfermion masses.
| [
{
"created": "Mon, 10 Nov 2014 23:20:31 GMT",
"version": "v1"
}
] | 2015-11-18 | [
[
"Argurio",
"Riccardo",
""
],
[
"Musso",
"Daniele",
""
],
[
"Redigolo",
"Diego",
""
]
] | We find and thoroughly study new supergravity domain wall solutions which are holographic realizations of supersymmetry breaking strongly coupled gauge theories. We set ourselves in an N=2 gauged supergravity with a minimal content in order to reproduce a dual N=1 effective SCFT which has a U(1)_R symmetry, a chiral operator whose components are responsible for triggering the RG flow, and an additional U(1)_F symmetry. We present a full three dimensional parameter space of solutions, which generically break supersymmetry. Some known solutions are recovered for specific sets of values of the parameters, with the new solutions interpolating between them. The generic backgrounds being singular, we provide a stability test of their dual theories by showing that there are no tachyonic resonances in the two point correlators. We compute the latter by holographic renormalization. We also carefully analyze the appearance of massless modes, such as the dilaton and the R axion, when the respective symmetries are spontaneously broken, and their lifting when the breaking is explicit. We further comment on the application of such class of backgrounds as archetypes of strongly coupled hidden sectors for gauge mediation of supersymmetry breaking. In particular, we show that it is possible to model in this way all types of hierarchies between the visible sector gaugino and sfermion masses. |
hep-th/0207216 | Paolo Budinich | Paolo Budinich | The Possible Role of Pure Spinors in Some Sectors of Particle Physics | 20 pages, Latex | null | null | null | hep-th | null | The equations defining pure spinors are interpreted as equations of motion
formulated on the lightcone of a ten-dimensional, lorentzian, momentum space.
Most of the equations for fermion multiplets, usually adopted by particle
physics, are then naturally obtained and their properties like internal
symmetries, charges, families appear to be due to the correlation of the
associated Clifford algebras, with the 3 complex division algebras: complex
numbers at the origin of U(1) and charges; quaternions at the origin of SU(2);
families and octonions at the origin of SU(3). Pure spinors instead could be
relevant not only because the underlying momentum space results compact, but
also because it may throw light on some aspects of particle physics, like:
masses, charges, constaint relations, supersymmetry and epistemology.
| [
{
"created": "Wed, 24 Jul 2002 08:40:00 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2002 11:35:32 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Budinich",
"Paolo",
""
]
] | The equations defining pure spinors are interpreted as equations of motion formulated on the lightcone of a ten-dimensional, lorentzian, momentum space. Most of the equations for fermion multiplets, usually adopted by particle physics, are then naturally obtained and their properties like internal symmetries, charges, families appear to be due to the correlation of the associated Clifford algebras, with the 3 complex division algebras: complex numbers at the origin of U(1) and charges; quaternions at the origin of SU(2); families and octonions at the origin of SU(3). Pure spinors instead could be relevant not only because the underlying momentum space results compact, but also because it may throw light on some aspects of particle physics, like: masses, charges, constaint relations, supersymmetry and epistemology. |
1802.04390 | Alexander Zhiboedov | Gustavo J. Turiaci and Alexander Zhiboedov | Veneziano Amplitude of Vasiliev Theory | 30 pages, 6 figures, a missing structure and references added | null | 10.1007/JHEP10(2018)034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the four-point function of scalar operators in CFTs with weakly
broken higher spin symmetry at arbitrary 't Hooft coupling. We use the known
three-point functions in these theories, the Lorentzian OPE inversion formula
and crossing to fix the result up to the addition of three functions of the
cross ratios. These are given by contact Witten diagrams in AdS and manifest
non-analyticity of the OPE data in spin. We use Schwinger-Dyson equations to
show that such terms are absent in the large $N$ Chern-Simons matter theories.
The result is that the OPE data is analytic in spin up to $J=0$.
| [
{
"created": "Mon, 12 Feb 2018 23:20:21 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2018 18:19:30 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Turiaci",
"Gustavo J.",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] | We compute the four-point function of scalar operators in CFTs with weakly broken higher spin symmetry at arbitrary 't Hooft coupling. We use the known three-point functions in these theories, the Lorentzian OPE inversion formula and crossing to fix the result up to the addition of three functions of the cross ratios. These are given by contact Witten diagrams in AdS and manifest non-analyticity of the OPE data in spin. We use Schwinger-Dyson equations to show that such terms are absent in the large $N$ Chern-Simons matter theories. The result is that the OPE data is analytic in spin up to $J=0$. |
hep-th/0505103 | Rajsekhar Bhattacharyya | Rajsekhar Bhattacharyya | A Short Note on Multi-bion Solutions | 9 pages | null | null | null | hep-th | null | Here we try to construct a form of multi-bion solution in the dual
description of $D3 \bot D1$-system which connects the two separated bions each
made up of 2 $D1-branes$ at large distance with a single $D3$-brane of four
unit of magnetic charge at origin. Further we interested in the soluions which
can interpolate between arbitrarily separated bions and single $D3$-brane with
arbitrary amount of magnetic charges and we find that it is probably not
possible to have the solution in each case.
| [
{
"created": "Thu, 12 May 2005 14:55:44 GMT",
"version": "v1"
},
{
"created": "Thu, 26 May 2005 09:48:00 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bhattacharyya",
"Rajsekhar",
""
]
] | Here we try to construct a form of multi-bion solution in the dual description of $D3 \bot D1$-system which connects the two separated bions each made up of 2 $D1-branes$ at large distance with a single $D3$-brane of four unit of magnetic charge at origin. Further we interested in the soluions which can interpolate between arbitrarily separated bions and single $D3$-brane with arbitrary amount of magnetic charges and we find that it is probably not possible to have the solution in each case. |
hep-th/0105025 | Ion Vasile Vancea | M. A. De Andrade and I. V. Vancea | Action for spinor fields in arbitrary dimensions | 4 pages, LATeX, submitted as contribution to "Concise Encyclopaedia
of Supersymmetry" | null | null | null | hep-th | null | A systematic presentation of spinors in various dimensions is given.
| [
{
"created": "Wed, 2 May 2001 22:54:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"De Andrade",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] | A systematic presentation of spinors in various dimensions is given. |
1002.3609 | Rak-Kyeong Seong | John Davey, Amihay Hanany, Rak-Kyeong Seong | Counting Orbifolds | 69 pages, 9 figures, 24 tables; minor corrections | JHEP 1006:010,2010 | 10.1007/JHEP06(2010)010 | Imperial/TP/10/AH/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present several methods of counting the orbifolds C^D/Gamma. A
correspondence between counting orbifold actions on C^D, brane tilings, and
toric diagrams in D-1 dimensions is drawn. Barycentric coordinates and scaling
mechanisms are introduced to characterize lattice simplices as toric diagrams.
We count orbifolds of C^3, C^4, C^5, C^6 and C^7. Some remarks are made on
closed form formulas for the partition function that counts distinct orbifold
actions.
| [
{
"created": "Fri, 19 Feb 2010 18:57:35 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 2010 20:00:02 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Davey",
"John",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | We present several methods of counting the orbifolds C^D/Gamma. A correspondence between counting orbifold actions on C^D, brane tilings, and toric diagrams in D-1 dimensions is drawn. Barycentric coordinates and scaling mechanisms are introduced to characterize lattice simplices as toric diagrams. We count orbifolds of C^3, C^4, C^5, C^6 and C^7. Some remarks are made on closed form formulas for the partition function that counts distinct orbifold actions. |
2003.06241 | Irais Rubalcava-Garcia | Irais Rubalcava-Garcia | Constructing the theory at the boundary, its dynamics and degrees of
freedom | 42 pages, 4 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a theory in a region of space-time with boundaries, defined by a
Lagrangian, we propose a method to find the corresponding theory at the
boundary (either space-like or time-like), that allows us to identify the
degrees of freedom at the boundary without any gauge fixing nor further
assumptions a priori. We start by finding the corresponding action principle at
the boundary. From this, we can find the corresponding equations of motion, the
symmetries and degrees of freedom at the boundary. Then we characterise the
degrees of freedom at the boundary. We exemplify this method by analysing the
broadly studied 3-dimensional Abelian Chern-Simons theory. We found, through
the Hamiltonian framework, that the boundary theory has one degree of freedom
that can be characterised by the chiral boson: the Quantum Hall edge modes. We
also find a correspondence between a gauge fixing in the bulk with a boundary
condition and discuss whether this is enough to have a well-posed action
principle and the possible scenarios.
| [
{
"created": "Fri, 13 Mar 2020 12:57:59 GMT",
"version": "v1"
}
] | 2020-03-16 | [
[
"Rubalcava-Garcia",
"Irais",
""
]
] | Given a theory in a region of space-time with boundaries, defined by a Lagrangian, we propose a method to find the corresponding theory at the boundary (either space-like or time-like), that allows us to identify the degrees of freedom at the boundary without any gauge fixing nor further assumptions a priori. We start by finding the corresponding action principle at the boundary. From this, we can find the corresponding equations of motion, the symmetries and degrees of freedom at the boundary. Then we characterise the degrees of freedom at the boundary. We exemplify this method by analysing the broadly studied 3-dimensional Abelian Chern-Simons theory. We found, through the Hamiltonian framework, that the boundary theory has one degree of freedom that can be characterised by the chiral boson: the Quantum Hall edge modes. We also find a correspondence between a gauge fixing in the bulk with a boundary condition and discuss whether this is enough to have a well-posed action principle and the possible scenarios. |
hep-th/9911168 | Dr. Alexander Kirillov | A.A. Kirillov | Effects related to spacetime foam in particle physics | 18 pages, minor corrections added to the published variant | Sov.Phys.JETP 88 (1999) 1051-1057; Zh.Eksp.Teor.Fiz. 115 (1999)
1921-1934 | 10.1134/1.558891 | null | hep-th gr-qc | null | It is found that the existence of spacetime foam leads to a situation in
which the number of fundamental quantum bosonic fields is a variable quantity.
The general aspects of an exact theory that allows for a variable number of
fields are discussed, and the simplest observable effects generated by the foam
are estimated. It is shown that in the absence of processes related to
variations in the topology of space, the concept of an effective field can be
reintroduced and standard field theory can be restored. However, in the
complete theory the ground state is characterized by a nonvanishing particle
number density. From the effective-field standpoint, such particles are "dark".
It is assumed that they comprise dark matter of the universe. The properties of
this dark matter are discussed, and so is the possibility of measuring the
quantum fluctuation in the field potentials.
| [
{
"created": "Mon, 22 Nov 1999 15:02:20 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kirillov",
"A. A.",
""
]
] | It is found that the existence of spacetime foam leads to a situation in which the number of fundamental quantum bosonic fields is a variable quantity. The general aspects of an exact theory that allows for a variable number of fields are discussed, and the simplest observable effects generated by the foam are estimated. It is shown that in the absence of processes related to variations in the topology of space, the concept of an effective field can be reintroduced and standard field theory can be restored. However, in the complete theory the ground state is characterized by a nonvanishing particle number density. From the effective-field standpoint, such particles are "dark". It is assumed that they comprise dark matter of the universe. The properties of this dark matter are discussed, and so is the possibility of measuring the quantum fluctuation in the field potentials. |
hep-th/0002075 | Alec Matusis | Alec Matusis, Leonard Susskind and Nicolaos Toumbas | The IR/UV Connection in the Non-Commutative Gauge Theories | 17 pages, 7 figures, Appendix | JHEP 0012:002,2000 | 10.1088/1126-6708/2000/12/002 | SU-ITP 00-07 | hep-th | null | Quantum field theory on non-commutative spaces does not enjoy the usual
ultraviolet-infrared decoupling that forms the basis for conventional
renormalization. The high momentum contributions to loop integrations can lead
to unfamiliar long distance behavior which can potentially undermine naive
expectations for the IR behavior of the theory. These "anomalies" involve
non-analytic behavior in the noncommutativity parameter Theta making the limit
Theta goes to zero singular.
In this paper we will analyze such effects in the one loop approximation to
gauge theories on non-commutative space. We will see that contrary to
expectations poles in Theta do occur and lead to large discrepancies between
the expected and actual infrared behavior. We find that poles in Theta are
absent in supersymmetric theories. The "anomalies" are generally still present,
but only at the logarithmic level. A notable exception is non-commutative super
Yang Mills theory with 16 real supercharges in which anomalous effects seem to
be absent altogether.
| [
{
"created": "Wed, 9 Feb 2000 23:57:55 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Feb 2000 21:09:24 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Matusis",
"Alec",
""
],
[
"Susskind",
"Leonard",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] | Quantum field theory on non-commutative spaces does not enjoy the usual ultraviolet-infrared decoupling that forms the basis for conventional renormalization. The high momentum contributions to loop integrations can lead to unfamiliar long distance behavior which can potentially undermine naive expectations for the IR behavior of the theory. These "anomalies" involve non-analytic behavior in the noncommutativity parameter Theta making the limit Theta goes to zero singular. In this paper we will analyze such effects in the one loop approximation to gauge theories on non-commutative space. We will see that contrary to expectations poles in Theta do occur and lead to large discrepancies between the expected and actual infrared behavior. We find that poles in Theta are absent in supersymmetric theories. The "anomalies" are generally still present, but only at the logarithmic level. A notable exception is non-commutative super Yang Mills theory with 16 real supercharges in which anomalous effects seem to be absent altogether. |
hep-th/0212287 | Modeso | Pietro Fr\`e and Leonardo Modesto | An SL(2,R)-covariant, first order, k-supersymmetric action for the
D5-brane | 18 pages, Latex. Added Appendix | Fortsch.Phys. 53 (2005) 260-277 | 10.1002/prop.200410195 | null | hep-th | null | The new first order, rheonomic, kappa-supersymmetric formalism recently
introduced by us for the world-volume action of the D3-brane is extended to the
case of D5-branes. This extension requires the dual formulation of the Free
Differential Algebra of type IIB supergravity in terms of 6-form gauge
potentials which was so far missing and is given here. Furthermore relying on
our new approach we are able to write the D5-world volume action in a
manifestly SL(2,R) covariant form. This is important in order to solve the
outstanding problem of finding the appropriate boundary actions of D3-branes on
smooth ALE manifolds with twisted fields. The application of our results to
this problem is however postponed to a subsequent publication.
| [
{
"created": "Mon, 23 Dec 2002 15:25:48 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2004 18:49:29 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Frè",
"Pietro",
""
],
[
"Modesto",
"Leonardo",
""
]
] | The new first order, rheonomic, kappa-supersymmetric formalism recently introduced by us for the world-volume action of the D3-brane is extended to the case of D5-branes. This extension requires the dual formulation of the Free Differential Algebra of type IIB supergravity in terms of 6-form gauge potentials which was so far missing and is given here. Furthermore relying on our new approach we are able to write the D5-world volume action in a manifestly SL(2,R) covariant form. This is important in order to solve the outstanding problem of finding the appropriate boundary actions of D3-branes on smooth ALE manifolds with twisted fields. The application of our results to this problem is however postponed to a subsequent publication. |
hep-th/0304139 | Arkady Tseytlin | A.A. Tseytlin | On semiclassical approximation and spinning string vertex operators in
AdS_5 x S^5 | 35 pages, harvmac; v2: references added | Nucl.Phys.B664:247-275,2003 | 10.1016/S0550-3213(03)00456-5 | null | hep-th | null | Following earlier work by Polyakov and Gubser, Klebanov and Polyakov, we
attempt to clarify the structure of vertex operators representing string states
which have large (``semiclassical'') values of AdS energy (equal to 4-d
dimension \Delta) and angular momentum J in S^5 or spin S in AdS_5. We comment
on the meaning of semiclassical limit in the context of \alpha' perturbative
expansion for the 2-d anomalous dimensions of the corresponding vertex
operators. We consider in detail the leading-order 1-loop renormalization of
these operators in AdS_5 x S^5 sigma model (ignoring fermionic contributions).
We find new examples of operators for which, as in the case considered in
hep-th/0110196, the 1-loop anomalous dimension can be made small by tuning
quantum numbers. We also comment on a possibility of deriving the semiclassical
relation between \Delta and J or S from the marginality condition for the
vertex operators, using a stationary phase approximation in the path integral
expression for their 2-point correlator on a complex plane.
| [
{
"created": "Wed, 16 Apr 2003 15:08:10 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Apr 2003 18:32:51 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
]
] | Following earlier work by Polyakov and Gubser, Klebanov and Polyakov, we attempt to clarify the structure of vertex operators representing string states which have large (``semiclassical'') values of AdS energy (equal to 4-d dimension \Delta) and angular momentum J in S^5 or spin S in AdS_5. We comment on the meaning of semiclassical limit in the context of \alpha' perturbative expansion for the 2-d anomalous dimensions of the corresponding vertex operators. We consider in detail the leading-order 1-loop renormalization of these operators in AdS_5 x S^5 sigma model (ignoring fermionic contributions). We find new examples of operators for which, as in the case considered in hep-th/0110196, the 1-loop anomalous dimension can be made small by tuning quantum numbers. We also comment on a possibility of deriving the semiclassical relation between \Delta and J or S from the marginality condition for the vertex operators, using a stationary phase approximation in the path integral expression for their 2-point correlator on a complex plane. |
hep-th/0612252 | Jose A. de Azcarraga | Igor A. Bandos, Jose A. de Azcarraga and Dmtri P. Sorokin | On D=11 supertwistors, superparticle quantization and a hidden SO(16)
symmetry of supergravity | 10 pages, plain latex Invited paper at the XXII Max Born Symposium
"Quantum, Super and Twistors", September 27-29, 2006, in honour of Jerzy
Lukierski. v2: One reference and comment added | null | null | FTUV 06/2212 IFIC 06-46 | hep-th | null | We consider a covariant quantization of the D=11 massless superparticle in
the supertwistor framework. D=11 supertwistors are highly constrained, but the
interpretation of their bosonic components as Lorentz harmonic variables and
their momenta permits to develop a classical and quantum mechanics without much
difficulties. A simple, heuristic `twistor' quantization of the superparticle
leads to the linearized D=11 supergravity multiplet. In the process, we observe
hints of a hidden SO(16) symmetry of D=11 supergravity.
| [
{
"created": "Fri, 22 Dec 2006 17:52:47 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2007 11:22:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bandos",
"Igor A.",
""
],
[
"de Azcarraga",
"Jose A.",
""
],
[
"Sorokin",
"Dmtri P.",
""
]
] | We consider a covariant quantization of the D=11 massless superparticle in the supertwistor framework. D=11 supertwistors are highly constrained, but the interpretation of their bosonic components as Lorentz harmonic variables and their momenta permits to develop a classical and quantum mechanics without much difficulties. A simple, heuristic `twistor' quantization of the superparticle leads to the linearized D=11 supergravity multiplet. In the process, we observe hints of a hidden SO(16) symmetry of D=11 supergravity. |
2310.14589 | Naoki Sasakura | Naoki Sasakura | Real eigenvector distributions of random tensors with backgrounds and
random deviations | 34 pages. 14 figures. Minor corrections | null | null | YITP-23-131 | hep-th | http://creativecommons.org/licenses/by/4.0/ | As in random matrix theories, eigenvector/value distributions are important
quantities of random tensors in their applications. Recently, real
eigenvector/value distributions of Gaussian random tensors have been explicitly
computed by expressing them as partition functions of quantum field theories
with quartic interactions. This procedure to compute distributions in random
tensors is general, powerful and intuitive, because one can take advantage of
well-developed techniques and knowledge of quantum field theories. In this
paper we extend the procedure to the cases that random tensors have mean
backgrounds and eigenvector equations have random deviations. In particular, we
study in detail the case that the background is a rank-one tensor, namely, the
case of a spiked tensor. We discuss the condition under which the background
rank-one tensor has a visible peak in the eigenvector distribution. We obtain a
threshold value, which agrees with a previous result in the literature.
| [
{
"created": "Mon, 23 Oct 2023 05:54:37 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Nov 2023 06:32:19 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Nov 2023 08:09:25 GMT",
"version": "v3"
}
] | 2023-11-15 | [
[
"Sasakura",
"Naoki",
""
]
] | As in random matrix theories, eigenvector/value distributions are important quantities of random tensors in their applications. Recently, real eigenvector/value distributions of Gaussian random tensors have been explicitly computed by expressing them as partition functions of quantum field theories with quartic interactions. This procedure to compute distributions in random tensors is general, powerful and intuitive, because one can take advantage of well-developed techniques and knowledge of quantum field theories. In this paper we extend the procedure to the cases that random tensors have mean backgrounds and eigenvector equations have random deviations. In particular, we study in detail the case that the background is a rank-one tensor, namely, the case of a spiked tensor. We discuss the condition under which the background rank-one tensor has a visible peak in the eigenvector distribution. We obtain a threshold value, which agrees with a previous result in the literature. |
1003.2108 | Marco Valerio Battisti | Marco Valerio Battisti, Stjepan Meljanac | Scalar Field Theory on Non-commutative Snyder Space-Time | 10 pages; v2: introduction rewritten, co-algebraic analysis improved,
references added; to appear in PRD | Phys.Rev.D82:024028,2010 | 10.1103/PhysRevD.82.024028 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | We construct a scalar field theory on the Snyder non-commutative space-time.
The symmetry underlying the Snyder geometry is deformed at the co-algebraic
level only, while its Poincar\'e algebra is undeformed. The Lorentz sector is
undeformed at both algebraic and co-algebraic level, but the co-product for
momenta (defining the star-product) is non-co-associative. The Snyder-deformed
Poincar\'e group is described by a non-co-associative Hopf algebra. The
definition of the interacting theory in terms of a non-associative star-product
is thus questionable. We avoid the non-associativity by the use of a space-time
picture based on the concept of realization of a non-commutative geometry. The
two main results we obtain are: (i) the generic (namely for any realization)
construction of the co-algebraic sector underlying the Snyder geometry and (ii)
the definition of a non-ambiguous self interacting scalar field theory on this
space-time. The first order correction terms of the corresponding Lagrangian
are explicitly computed. The possibility to derive Noether charges for the
Snyder space-time is also discussed.
| [
{
"created": "Wed, 10 Mar 2010 13:30:01 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2010 12:59:59 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Battisti",
"Marco Valerio",
""
],
[
"Meljanac",
"Stjepan",
""
]
] | We construct a scalar field theory on the Snyder non-commutative space-time. The symmetry underlying the Snyder geometry is deformed at the co-algebraic level only, while its Poincar\'e algebra is undeformed. The Lorentz sector is undeformed at both algebraic and co-algebraic level, but the co-product for momenta (defining the star-product) is non-co-associative. The Snyder-deformed Poincar\'e group is described by a non-co-associative Hopf algebra. The definition of the interacting theory in terms of a non-associative star-product is thus questionable. We avoid the non-associativity by the use of a space-time picture based on the concept of realization of a non-commutative geometry. The two main results we obtain are: (i) the generic (namely for any realization) construction of the co-algebraic sector underlying the Snyder geometry and (ii) the definition of a non-ambiguous self interacting scalar field theory on this space-time. The first order correction terms of the corresponding Lagrangian are explicitly computed. The possibility to derive Noether charges for the Snyder space-time is also discussed. |
hep-th/9611063 | null | Jan de Boer, Kentaro Hori, Hirosi Ooguri and Yaron Oz (UC
Berkeley/LBNL) | Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and
D-branes | 54 pages, LaTeX, 3 Postscript figures. Two footnotes and one
reference added | Nucl.Phys.B493:101-147,1997 | 10.1016/S0550-3213(97)00125-9 | UCB-PTH-96/47, LBNL-039543 | hep-th | null | We construct and analyze dual N=4 supersymmetric gauge theories in three
dimensions with unitary and symplectic gauge groups. The gauge groups and the
field content of the theories are encoded in quiver diagrams. The duality
exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass
parameters. We analyze the classical and the quantum moduli spaces of the
theories and construct an explicit mirror map between the mass parameters and
the the Fayet-Iliopoulos parameters of the dual. The results generalize the
relation between ALE spaces and moduli spaces of SU(n) and SO(2n) instantons.
We interpret some of these results from the string theory viewpoint, for SU(n)
by analyzing T-duality and extremal transitions in type II string
compactifications, for SO(2n) by using D-branes as probes. Finally, we make a
proposal for the moduli space of vacua of these theories in the absence of
matter.
| [
{
"created": "Sat, 9 Nov 1996 01:36:18 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 1996 01:55:27 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"de Boer",
"Jan",
"",
"UC\n Berkeley/LBNL"
],
[
"Hori",
"Kentaro",
"",
"UC\n Berkeley/LBNL"
],
[
"Ooguri",
"Hirosi",
"",
"UC\n Berkeley/LBNL"
],
[
"Oz",
"Yaron",
"",
"UC\n Berkeley/LBNL"
]
] | We construct and analyze dual N=4 supersymmetric gauge theories in three dimensions with unitary and symplectic gauge groups. The gauge groups and the field content of the theories are encoded in quiver diagrams. The duality exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass parameters. We analyze the classical and the quantum moduli spaces of the theories and construct an explicit mirror map between the mass parameters and the the Fayet-Iliopoulos parameters of the dual. The results generalize the relation between ALE spaces and moduli spaces of SU(n) and SO(2n) instantons. We interpret some of these results from the string theory viewpoint, for SU(n) by analyzing T-duality and extremal transitions in type II string compactifications, for SO(2n) by using D-branes as probes. Finally, we make a proposal for the moduli space of vacua of these theories in the absence of matter. |
2403.13758 | Gordon Semenoff | Gordon W. Semenoff | Scale Invariance at the Edge | 10 pages, Proceedings of "Gravity, Strings and Fields'', Montreal,
July 2023 | null | null | null | hep-th cond-mat.mes-hall math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Some aspects of the theory of fermions living on three dimensional spacetime
with a flat co-dimension one boundary are discussed, particularly a case where
the boundary condition preserves scale and translation invariance but violates
the residual Lorentz and conformal symmetries. This case is interesting because
the Dirac equation has normalizable stationary edge states which must be taken
into account in the quantization. We show that a consequence of the edge states
for quantization of the Dirac field is that there are no states of the Dirac
field theory which are simultaneously scale, C and P invariant even when these
are good symmetries of the theory. The scale invariant states of the Dirac
field contain either a nonzero scale covariant momentum density or a U(1)
charge density concentrated near the edge.
| [
{
"created": "Wed, 20 Mar 2024 17:10:31 GMT",
"version": "v1"
}
] | 2024-03-21 | [
[
"Semenoff",
"Gordon W.",
""
]
] | Some aspects of the theory of fermions living on three dimensional spacetime with a flat co-dimension one boundary are discussed, particularly a case where the boundary condition preserves scale and translation invariance but violates the residual Lorentz and conformal symmetries. This case is interesting because the Dirac equation has normalizable stationary edge states which must be taken into account in the quantization. We show that a consequence of the edge states for quantization of the Dirac field is that there are no states of the Dirac field theory which are simultaneously scale, C and P invariant even when these are good symmetries of the theory. The scale invariant states of the Dirac field contain either a nonzero scale covariant momentum density or a U(1) charge density concentrated near the edge. |
1409.1710 | En Shih | Jin-Yu Liu and En Shih | Bonus scaling and BCFW in N=7 supergravity | 16 pages, 2 figures | Phys.Lett.B 740 (2015) 151-157 | 10.1016/j.physletb.2014.11.046 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In search of natural building blocks for supergravity amplitudes, a tentative
criteria is term-by-term bonus z^-2 large momentum scaling. For a given choice
of deformation legs, we present such an expansion in the form of a BCFW
representation in N=7 supergravity based on a special shift. We will show that
this improved scaling behavior, with respect to the fully N=8 representation,
is due to its automatic incorporation of the so called bonus relations.
| [
{
"created": "Fri, 5 Sep 2014 09:51:30 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Oct 2014 15:15:26 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Dec 2014 04:18:43 GMT",
"version": "v3"
}
] | 2014-12-15 | [
[
"Liu",
"Jin-Yu",
""
],
[
"Shih",
"En",
""
]
] | In search of natural building blocks for supergravity amplitudes, a tentative criteria is term-by-term bonus z^-2 large momentum scaling. For a given choice of deformation legs, we present such an expansion in the form of a BCFW representation in N=7 supergravity based on a special shift. We will show that this improved scaling behavior, with respect to the fully N=8 representation, is due to its automatic incorporation of the so called bonus relations. |
hep-th/9908172 | Boris Kastening | Boris Kastening (Universitaet Heidelberg) | Recursive Graphical Construction of Feynman Diagrams in phi^4 Theory:
Asymmetric Case and Effective Energy | 34 pages; abstract expanded; section IV.E about absorption of
tadpoles and one related reference added; eqs. (20) and (23) corrected;
further references added; some minor beautifications; to be published by
Phys.Rev.E | Phys.Rev. E61 (2000) 3501-3528 | 10.1103/PhysRevE.61.3501 | HD-THEP-99-33 | hep-th cond-mat.stat-mech hep-ph | null | The free energy of a multi-component scalar field theory is considered as a
functional W[G,J] of the free correlation function G and an external current J.
It obeys non-linear functional differential equations which are turned into
recursion relations for the connected Greens functions in a loop expansion.
These relations amount to a simple proof that W[G,J] generates only connected
graphs and can be used to find all such graphs with their combinatoric weights.
A Legendre transformation with respect to the external current converts the
functional differential equations for the free energy into those for the
effective energy Gamma[G,Phi], which is considered as a functional of the free
correlation function G and the field expectation Phi. These equations are
turned into recursion relations for the one-particle irreducible Greens
functions. These relations amount to a simple proof that Gamma[G,J] generates
only one-particle irreducible graphs and can be used to find all such graphs
with their combinatoric weights. The techniques used also allow for a
systematic investigation into resummations of classes of graphs. Examples are
given for resumming one-loop and multi-loop tadpoles, both through all orders
of perturbation theory. Since the functional differential equations derived are
non-perturbative, they constitute also a convenient starting point for other
expansions than those in numbers of loops or powers of coupling constants. We
work with general interactions through four powers in the field.
| [
{
"created": "Thu, 26 Aug 1999 15:55:37 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2000 18:59:18 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kastening",
"Boris",
"",
"Universitaet Heidelberg"
]
] | The free energy of a multi-component scalar field theory is considered as a functional W[G,J] of the free correlation function G and an external current J. It obeys non-linear functional differential equations which are turned into recursion relations for the connected Greens functions in a loop expansion. These relations amount to a simple proof that W[G,J] generates only connected graphs and can be used to find all such graphs with their combinatoric weights. A Legendre transformation with respect to the external current converts the functional differential equations for the free energy into those for the effective energy Gamma[G,Phi], which is considered as a functional of the free correlation function G and the field expectation Phi. These equations are turned into recursion relations for the one-particle irreducible Greens functions. These relations amount to a simple proof that Gamma[G,J] generates only one-particle irreducible graphs and can be used to find all such graphs with their combinatoric weights. The techniques used also allow for a systematic investigation into resummations of classes of graphs. Examples are given for resumming one-loop and multi-loop tadpoles, both through all orders of perturbation theory. Since the functional differential equations derived are non-perturbative, they constitute also a convenient starting point for other expansions than those in numbers of loops or powers of coupling constants. We work with general interactions through four powers in the field. |
hep-th/9709029 | Tom Wynter | Thomas Wynter | Gauge fields and interactions in matrix string theory | 14 pages, harvmac, compile big. References added, typos corrected | Phys.Lett.B415:349-357,1997 | 10.1016/S0370-2693(97)01278-1 | null | hep-th | null | It is shown that all possible N sheeted coverings of the cylinder are
contained in type IIA matrix string theory as non-trivial gauge field
configurations. Using these gauge field configurations as backgrounds the large
$N$ limit is shown to lead to the type IIA conformal field theory defined on
the corresponding Riemann surfaces. The sum over string diagrams is identified
as the sum over non-trivial gauge backgrounds of the SYM theory.
| [
{
"created": "Wed, 3 Sep 1997 17:05:22 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Sep 1997 15:49:33 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Wynter",
"Thomas",
""
]
] | It is shown that all possible N sheeted coverings of the cylinder are contained in type IIA matrix string theory as non-trivial gauge field configurations. Using these gauge field configurations as backgrounds the large $N$ limit is shown to lead to the type IIA conformal field theory defined on the corresponding Riemann surfaces. The sum over string diagrams is identified as the sum over non-trivial gauge backgrounds of the SYM theory. |
0805.2927 | Yuri V. Kovchegov | Javier L. Albacete, Yuri V. Kovchegov, Anastasios Taliotis | Modeling Heavy Ion Collisions in AdS/CFT | 34 pages, 3 figures. One sentence modified and Appendix B revised | JHEP0807:100,2008 | 10.1088/1126-6708/2008/07/100 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a model of high energy heavy ion collisions as two
ultrarelativistic shock waves colliding in AdS_5. We point out that shock waves
corresponding to physical energy-momentum tensors of the nuclei completely stop
almost immediately after the collision in AdS_5, which, on the field theory
side, corresponds to complete nuclear stopping due to strong coupling effects,
likely leading to Landau hydrodynamics. Since in real-life heavy ion collisions
the large Bjorken x part of nuclear wave functions continues to move along the
light cone trajectories of the incoming nuclei leaving the small-x partons
behind, we conclude that a pure large coupling approach is not likely to
adequately model nuclear collisions. We show that to account for small-coupling
effects one can model the colliding nuclei by two (unphysical)
ultrarelativistic shock waves with zero net energy each (but with non-zero
energy density). We use this model to study the energy density of the
strongly-coupled matter created immediately after the collision. We argue that
expansion of the energy density in the powers of proper time squared
corresponds on the gravity side to a perturbative expansion of the metric in
graviton exchanges. Using such expansion we reproduce our earlier result that
the energy density of produced matter at mid-rapidity starts out as a constant
(of time) in heavy ion collisions at large coupling.
| [
{
"created": "Mon, 19 May 2008 19:42:03 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2008 02:54:09 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Sep 2008 20:09:44 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Albacete",
"Javier L.",
""
],
[
"Kovchegov",
"Yuri V.",
""
],
[
"Taliotis",
"Anastasios",
""
]
] | We construct a model of high energy heavy ion collisions as two ultrarelativistic shock waves colliding in AdS_5. We point out that shock waves corresponding to physical energy-momentum tensors of the nuclei completely stop almost immediately after the collision in AdS_5, which, on the field theory side, corresponds to complete nuclear stopping due to strong coupling effects, likely leading to Landau hydrodynamics. Since in real-life heavy ion collisions the large Bjorken x part of nuclear wave functions continues to move along the light cone trajectories of the incoming nuclei leaving the small-x partons behind, we conclude that a pure large coupling approach is not likely to adequately model nuclear collisions. We show that to account for small-coupling effects one can model the colliding nuclei by two (unphysical) ultrarelativistic shock waves with zero net energy each (but with non-zero energy density). We use this model to study the energy density of the strongly-coupled matter created immediately after the collision. We argue that expansion of the energy density in the powers of proper time squared corresponds on the gravity side to a perturbative expansion of the metric in graviton exchanges. Using such expansion we reproduce our earlier result that the energy density of produced matter at mid-rapidity starts out as a constant (of time) in heavy ion collisions at large coupling. |
hep-th/0502188 | Rafael Hernandez | Rafael Hernandez, Esperanza Lopez, Africa Perianez and German Sierra | Finite size effects in ferromagnetic spin chains and quantum corrections
to classical strings | 18 pages. Latex. v2: Misprints corrected, expanded discussions with
comments on end point effects, and updated reference | JHEP0506:011,2005 | 10.1088/1126-6708/2005/06/011 | null | hep-th cond-mat.stat-mech | null | N=4 supersymmetric Yang-Mills operators carrying large charges are dual to
semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of
very large operators has been calculated solving the Bethe ansatz equations in
the thermodynamic limit, and matched to energies of string solitons. We have
considered finite size corrections to the Bethe equations, that should
correspond to quantum effects on the string side.
| [
{
"created": "Mon, 21 Feb 2005 20:25:54 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Apr 2005 14:16:25 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Hernandez",
"Rafael",
""
],
[
"Lopez",
"Esperanza",
""
],
[
"Perianez",
"Africa",
""
],
[
"Sierra",
"German",
""
]
] | N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermodynamic limit, and matched to energies of string solitons. We have considered finite size corrections to the Bethe equations, that should correspond to quantum effects on the string side. |
2212.02958 | Zezhou Hu | Bin Chen, Yehui Hou and Zezhou Hu | On emergent conformal symmetry near the photon ring | 15 pages, minor revisions; Presentation improved, published version | null | 10.1007/JHEP05(2023)115 | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | In this note we revisit the emergent conformal symmetry in the near-ring
region of warped spacetime. In particular, we propose a novel construction of
the emergent near-ring $sl(2,R)_{\text{QNM}}$ symmetry. We show that each
eikonal QNM family falls into one highest-weight representation of this
algebra, and $sl(2,R)_{\text{QNM}}$ can be related to the near-ring isometry
group $sl(2,R)_{\text{ISO}}$ in a simple way. Furthermore we find that the
coherent state space of $sl(2,R)_{\text{QNM}}$ can be identified with the phase
space of the photon ring.
| [
{
"created": "Tue, 6 Dec 2022 13:21:30 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Feb 2023 13:50:08 GMT",
"version": "v2"
},
{
"created": "Tue, 2 May 2023 05:54:18 GMT",
"version": "v3"
},
{
"created": "Wed, 3 May 2023 05:26:58 GMT",
"version": "v4"
}
] | 2023-05-31 | [
[
"Chen",
"Bin",
""
],
[
"Hou",
"Yehui",
""
],
[
"Hu",
"Zezhou",
""
]
] | In this note we revisit the emergent conformal symmetry in the near-ring region of warped spacetime. In particular, we propose a novel construction of the emergent near-ring $sl(2,R)_{\text{QNM}}$ symmetry. We show that each eikonal QNM family falls into one highest-weight representation of this algebra, and $sl(2,R)_{\text{QNM}}$ can be related to the near-ring isometry group $sl(2,R)_{\text{ISO}}$ in a simple way. Furthermore we find that the coherent state space of $sl(2,R)_{\text{QNM}}$ can be identified with the phase space of the photon ring. |
1912.04125 | Andrea Cappelli | Francesco Andreucci, Andrea Cappelli, Lorenzo Maffi | Quantization of a Self-dual Conformal Theory in (2+1) Dimensions | 40 pages, 3 figures; published version | null | 10.1007/JHEP02(2020)116 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Compact nonlocal Abelian gauge theory in (2+1) dimensions, also known as loop
model, is a massless theory with a critical line that is explicitly covariant
under duality transformations. It corresponds to the large N_F limit of
self-dual electrodynamics in mixed three-four dimensions. It also provides a
bosonic description for surface excitations of three-dimensional topological
insulators. Upon mapping the model to a local gauge theory in (3+1) dimensions,
we compute the spectrum of electric and magnetic solitonic excitations and the
partition function on the three torus T_3. Analogous results for the S^2 x S^1
geometry show that the theory is conformal invariant and determine the
manifestly self-dual spectrum of conformal fields, corresponding to
order-disorder excitations with fractional statistics.
| [
{
"created": "Mon, 9 Dec 2019 15:36:07 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2020 17:31:53 GMT",
"version": "v2"
}
] | 2020-03-18 | [
[
"Andreucci",
"Francesco",
""
],
[
"Cappelli",
"Andrea",
""
],
[
"Maffi",
"Lorenzo",
""
]
] | Compact nonlocal Abelian gauge theory in (2+1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N_F limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3+1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus T_3. Analogous results for the S^2 x S^1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics. |
hep-th/9802108 | Kimyeong Lee | Kimyeong Lee and Changhai Lu | SU(2) Calorons and Magnetic Monopoles | 17 pages, RevTex, 1 Figure | Phys. Rev. D 58, 025011 (1998) | 10.1103/PhysRevD.58.025011 | CU-TP-881 | hep-th hep-lat hep-ph math-ph math.MP nucl-th | null | We investigate the self-dual Yang-Mills gauge configurations on $R^3\times
S^1$ when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We
construct the explicit field configuration for a single instanton by the Nahm
method and show that an instanton is composed of two self-dual monopoles of
opposite magnetic charge. We normalize the moduli space metric of an instanton
and study various limits of the field configuration and its moduli space
metric.
| [
{
"created": "Mon, 16 Feb 1998 00:12:11 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Lee",
"Kimyeong",
""
],
[
"Lu",
"Changhai",
""
]
] | We investigate the self-dual Yang-Mills gauge configurations on $R^3\times S^1$ when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We construct the explicit field configuration for a single instanton by the Nahm method and show that an instanton is composed of two self-dual monopoles of opposite magnetic charge. We normalize the moduli space metric of an instanton and study various limits of the field configuration and its moduli space metric. |
1609.00385 | Johan Bl{\aa}b\"ack | David Andriot, Johan Bl{\aa}b\"ack | Refining the boundaries of the classical de Sitter landscape | 15 pages + appendices and references; v2: few additions; v3:
requirements on the sources and internal geometry clarified, version accepted
for publication; v4: erratum added, minor impact on the results | null | 10.1007/JHEP03(2017)102 | IPhT-t16/080 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive highly constraining no-go theorems for classical de Sitter
backgrounds of string theory, with parallel sources; this should impact the
embedding of cosmological models. We study ten-dimensional vacua of type II
supergravities with parallel and backreacted orientifold Op-planes and
Dp-branes, on four-dimensional de Sitter space-time times a compact manifold.
Vacua for p=3, 7 or 8 are completely excluded, and we obtain tight constraints
for p=4, 5, 6. This is achieved through the derivation of an enlightening
expression for the four-dimensional Ricci scalar. Further interesting
expressions and no-go theorems are obtained. The paper is self-contained so
technical aspects, including conventions, might be of more general interest.
| [
{
"created": "Thu, 1 Sep 2016 20:01:23 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2016 14:02:26 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2017 12:58:59 GMT",
"version": "v3"
},
{
"created": "Thu, 1 Mar 2018 08:15:16 GMT",
"version": "v4"
}
] | 2018-03-02 | [
[
"Andriot",
"David",
""
],
[
"Blåbäck",
"Johan",
""
]
] | We derive highly constraining no-go theorems for classical de Sitter backgrounds of string theory, with parallel sources; this should impact the embedding of cosmological models. We study ten-dimensional vacua of type II supergravities with parallel and backreacted orientifold Op-planes and Dp-branes, on four-dimensional de Sitter space-time times a compact manifold. Vacua for p=3, 7 or 8 are completely excluded, and we obtain tight constraints for p=4, 5, 6. This is achieved through the derivation of an enlightening expression for the four-dimensional Ricci scalar. Further interesting expressions and no-go theorems are obtained. The paper is self-contained so technical aspects, including conventions, might be of more general interest. |
0706.4196 | N. I. Stoilova | S. Lievens, N. I. Stoilova, J. Van der Jeugt | The paraboson Fock space and unitary irreducible representations of the
Lie superalgebra osp(1|2n) | typos corrected | Commun.Math.Phys.282:575,2008 | 10.1007/s00220-008-0567-5 | null | hep-th math-ph math.GR math.MP math.RT quant-ph | null | It is known that the defining relations of the orthosymplectic Lie
superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n
pairs of paraboson operators $b^\pm_i$. In particular, with the usual star
conditions, this implies that the ``parabosons of order p'' correspond to a
unitary irreducible (infinite-dimensional) lowest weight representation V(p) of
osp(1|2n). Apart from the simple cases p=1 or n=1, these representations had
never been constructed due to computational difficulties, despite their
importance. In the present paper we give an explicit and elegant construction
of these representations V(p), and we present explicit actions or matrix
elements of the osp(1|2n) generators. The orthogonal basis vectors of V(p) are
written in terms of Gelfand-Zetlin patterns, where the subalgebra u(n) of
osp(1|2n) plays a crucial role. Our results also lead to character formulas for
these infinite-dimensional osp(1|2n) representations. Furthermore, by
considering the branching $ osp(1|2n) \supset sp(2n) \supset u(n)$, we find
explicit infinite-dimensional unitary irreducible lowest weight representations
of sp(2n) and their characters.
| [
{
"created": "Thu, 28 Jun 2007 10:59:20 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Sep 2007 13:08:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lievens",
"S.",
""
],
[
"Stoilova",
"N. I.",
""
],
[
"Van der Jeugt",
"J.",
""
]
] | It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators $b^\pm_i$. In particular, with the usual star conditions, this implies that the ``parabosons of order p'' correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V(p) of osp(1|2n). Apart from the simple cases p=1 or n=1, these representations had never been constructed due to computational difficulties, despite their importance. In the present paper we give an explicit and elegant construction of these representations V(p), and we present explicit actions or matrix elements of the osp(1|2n) generators. The orthogonal basis vectors of V(p) are written in terms of Gelfand-Zetlin patterns, where the subalgebra u(n) of osp(1|2n) plays a crucial role. Our results also lead to character formulas for these infinite-dimensional osp(1|2n) representations. Furthermore, by considering the branching $ osp(1|2n) \supset sp(2n) \supset u(n)$, we find explicit infinite-dimensional unitary irreducible lowest weight representations of sp(2n) and their characters. |
hep-th/0403120 | Arkady Tseytlin | M. Kruczenski, A.V. Ryzhov and A.A. Tseytlin | Large spin limit of AdS_5 x S^5 string theory and low energy expansion
of ferromagnetic spin chains | 49 pages. v2,v3: misprints and coefficients in eqs.(2.77),(2.89)
corrected; comments about quadratic terms in the effective action added at
the end of section 2.3 and section 3 | Nucl.Phys.B692:3-49,2004 | 10.1016/j.nuclphysb.2004.05.028 | BRX TH-537 | hep-th cond-mat.stat-mech cond-mat.str-el | null | By considering AdS_5 x S^5 string states with large angular momenta in S^5
one is able to provide non-trivial quantitative checks of the AdS/CFT duality.
A string rotating in S^5 with two angular momenta J_1,J_2 is dual to an
operator in N=4 SYM theory whose conformal dimension can be computed by
diagonalizing a (generalization of) spin 1/2 Heisenberg chain Hamiltonian. It
was recently argued and verified to lowest order in a large J=J_1+J_2
expansion, that the Heisenberg chain can be described using a non-relativistic
low energy effective 2-d action for a unit vector field n_i which exactly
matches the corresponding large J limit of the classical AdS_5 x S^5 string
action. In this paper we show that this agreement extends to the next order and
develop a systematic procedure to compute higher orders in such large angular
momentum expansion. This involves several non-trivial steps. On the string
side, we need to choose a special gauge with a non-diagonal world-sheet metric
which insures that the angular momentum is uniformly distributed along the
string, as indeed is the case on the spin chain side. We need also to implement
an order by order redefinition of the field n_i to get an action linear in the
time derivative. On the spin chain side, it turns out to be crucial to include
the effects of integrating out short wave-length modes. In this way we gain a
better understanding of how (a subsector of) the string sigma model emerges
from the dual gauge theory, allowing us to demonstrate the duality beyond
comparing particular examples of states with large J.
| [
{
"created": "Wed, 10 Mar 2004 20:45:20 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2004 20:53:17 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Mar 2004 00:08:25 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Kruczenski",
"M.",
""
],
[
"Ryzhov",
"A. V.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | By considering AdS_5 x S^5 string states with large angular momenta in S^5 one is able to provide non-trivial quantitative checks of the AdS/CFT duality. A string rotating in S^5 with two angular momenta J_1,J_2 is dual to an operator in N=4 SYM theory whose conformal dimension can be computed by diagonalizing a (generalization of) spin 1/2 Heisenberg chain Hamiltonian. It was recently argued and verified to lowest order in a large J=J_1+J_2 expansion, that the Heisenberg chain can be described using a non-relativistic low energy effective 2-d action for a unit vector field n_i which exactly matches the corresponding large J limit of the classical AdS_5 x S^5 string action. In this paper we show that this agreement extends to the next order and develop a systematic procedure to compute higher orders in such large angular momentum expansion. This involves several non-trivial steps. On the string side, we need to choose a special gauge with a non-diagonal world-sheet metric which insures that the angular momentum is uniformly distributed along the string, as indeed is the case on the spin chain side. We need also to implement an order by order redefinition of the field n_i to get an action linear in the time derivative. On the spin chain side, it turns out to be crucial to include the effects of integrating out short wave-length modes. In this way we gain a better understanding of how (a subsector of) the string sigma model emerges from the dual gauge theory, allowing us to demonstrate the duality beyond comparing particular examples of states with large J. |
1403.8052 | Davide Gaiotto | Davide Gaiotto | Boundary F-maximization | 11 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a variant of the F-theorem and F-maximization principles which
applies to (super)conformal boundary conditions of 4d (S)CFTs.
| [
{
"created": "Mon, 31 Mar 2014 15:39:56 GMT",
"version": "v1"
}
] | 2014-04-01 | [
[
"Gaiotto",
"Davide",
""
]
] | We discuss a variant of the F-theorem and F-maximization principles which applies to (super)conformal boundary conditions of 4d (S)CFTs. |
hep-th/0410238 | Kari Myklevoll | Burkhard Kleihaus, Jutta Kunz and Kari Myklevoll | Platonic Sphalerons in the Presence of a Dilaton Field | 10 pages, 5 figures | Phys.Lett.B605:151-160,2005 | 10.1016/j.physletb.2004.11.009 | null | hep-th | null | We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs
theory coupled to a dilaton. Related to rational maps of degree N, these
platonic sphalerons can be assigned a Chern-Simons number Q=N/2. We present
sphaleron solutions with degree N=1-4, possessing spherical, axial, tetrahedral
and cubic symmetry. For all these sphalerons two branches of solutions exist,
which bifurcate at a maximal value of the dilaton coupling constant.
| [
{
"created": "Mon, 25 Oct 2004 12:04:43 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Myklevoll",
"Kari",
""
]
] | We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs theory coupled to a dilaton. Related to rational maps of degree N, these platonic sphalerons can be assigned a Chern-Simons number Q=N/2. We present sphaleron solutions with degree N=1-4, possessing spherical, axial, tetrahedral and cubic symmetry. For all these sphalerons two branches of solutions exist, which bifurcate at a maximal value of the dilaton coupling constant. |
hep-th/9903268 | Joseph Kouneiher | Joseph Kouneiher | Superstrings, Unifications and dualities | 31 pages, 9 figures. This conference is the first part of two
lectures treating the geometric principle lying behind superstring theory. It
is an introductory one | null | null | null | hep-th | null | I describe our understanding of physics near the planck length, in particular
the great progress of the last four years in string theory. Superstring theory,
and a recent extension called M theory, are leading candidates for a quantum
theory that unifies gravity with the other forces. As such, they are certainly
not ordinary quantum field theories. However, recent duality conjectures
suggest that a more complete definition of these theories can be provided by
the large N limits of suitably chosen U(N) gauge theories associated to the
asymptotic boundary of spacetime.
| [
{
"created": "Wed, 31 Mar 1999 21:32:54 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 1999 08:56:03 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Apr 1999 06:54:53 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Apr 1999 20:50:17 GMT",
"version": "v4"
},
{
"crea... | 2007-05-23 | [
[
"Kouneiher",
"Joseph",
""
]
] | I describe our understanding of physics near the planck length, in particular the great progress of the last four years in string theory. Superstring theory, and a recent extension called M theory, are leading candidates for a quantum theory that unifies gravity with the other forces. As such, they are certainly not ordinary quantum field theories. However, recent duality conjectures suggest that a more complete definition of these theories can be provided by the large N limits of suitably chosen U(N) gauge theories associated to the asymptotic boundary of spacetime. |
hep-th/9710137 | Shinichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | On the instability of effective potential for non-abelian toroidal
D-brane | to be published in Phys.Lett.B, 11 pages with 1 figure (ps file),
LaTeX file | Phys.Lett.B419:107-114,1998 | 10.1016/S0370-2693(97)01285-9 | NDA-FP-34, June 1997 | hep-th | null | We calculate the one-loop effective potential for the toroidal non-abelian
D-brane in the constant magnetic SU(2) gauge field. The study of its properties
shows that the potential is unbounded below. This fact indicates the
instability of the non-abelian D-brane in the background under consideration
like the instability of chromomagnetic vacuum in SU(2) gauge theory.
| [
{
"created": "Fri, 17 Oct 1997 02:54:15 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We calculate the one-loop effective potential for the toroidal non-abelian D-brane in the constant magnetic SU(2) gauge field. The study of its properties shows that the potential is unbounded below. This fact indicates the instability of the non-abelian D-brane in the background under consideration like the instability of chromomagnetic vacuum in SU(2) gauge theory. |
hep-th/9202049 | Irina Ya. Aref'eva | I.Ya.Aref'eva and A.P.Zubarev | Non-critical NSR string field theory and discrete states interaction in
2D supergravity | null | null | null | null | hep-th | null | String field theory for the non-critical NSR string is described. In
particular it gives string field theory for the 2D super-gravity coupled to a
$\hat{c}=1$ matter field. For this purpose double-step pictures changing
operators for the non-critical NSR string are constructed. Analogues of the
critical supersymmetry transformations are written for $D<10$, they form a
closed on-shell algebra, however their action on vertices is defined only for
discrete value of the Liouville momentum. For D=2 this means that spinor
massless field has its superpartner in the NS sector only if its momentum is
fixed.
Starting from string field theory we calculate string amplitudes. These
amplitudes for D=2 have poles which are related with discrete set of primary
fields, namely 2R$\to$2R amplitude has poles corresponding to the n-level NS
excitations with discrete momenta $p_1=n,~~p_2=-1\pm (n+1)$.
| [
{
"created": "Fri, 14 Feb 1992 13:45:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Zubarev",
"A. P.",
""
]
] | String field theory for the non-critical NSR string is described. In particular it gives string field theory for the 2D super-gravity coupled to a $\hat{c}=1$ matter field. For this purpose double-step pictures changing operators for the non-critical NSR string are constructed. Analogues of the critical supersymmetry transformations are written for $D<10$, they form a closed on-shell algebra, however their action on vertices is defined only for discrete value of the Liouville momentum. For D=2 this means that spinor massless field has its superpartner in the NS sector only if its momentum is fixed. Starting from string field theory we calculate string amplitudes. These amplitudes for D=2 have poles which are related with discrete set of primary fields, namely 2R$\to$2R amplitude has poles corresponding to the n-level NS excitations with discrete momenta $p_1=n,~~p_2=-1\pm (n+1)$. |
hep-th/0204252 | Xin-zhou Li | Xin-zhou Li, Jian-gang Hao and Dao-jun Liu | Can Quintessence Be The Rolling Tachyon? | typos corrected, references added and a brief discussion concerning
the recent progress added to the introduction | Chin.Phys.Lett. 19 (2002) 1584 | 10.1088/0256-307X/19/11/305 | null | hep-th | null | In light of the recent work by Sen and Gibbons, we present a phase-plane
analysis on the cosmology containing a rolling tachyon field in a potential
resulted from string theory. We show that there is no stable point on the
phase-plane, which indicated that there is a coincidence problem if one
consider tachyon as a candidate of quintessence. Furthermore, we also analyze
the phase-plane of the cosmology containing a rolling tachyon field for an
exactly solvable toy potential in which the critical point is stable.
Therefore, it is possible for rolling tachyon to be quintessence if one give up
the strict constraint on the potential or find a more appropriate effective
potential for the tachyon from M/string theory.
| [
{
"created": "Tue, 30 Apr 2002 08:41:19 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2002 04:03:57 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Li",
"Xin-zhou",
""
],
[
"Hao",
"Jian-gang",
""
],
[
"Liu",
"Dao-jun",
""
]
] | In light of the recent work by Sen and Gibbons, we present a phase-plane analysis on the cosmology containing a rolling tachyon field in a potential resulted from string theory. We show that there is no stable point on the phase-plane, which indicated that there is a coincidence problem if one consider tachyon as a candidate of quintessence. Furthermore, we also analyze the phase-plane of the cosmology containing a rolling tachyon field for an exactly solvable toy potential in which the critical point is stable. Therefore, it is possible for rolling tachyon to be quintessence if one give up the strict constraint on the potential or find a more appropriate effective potential for the tachyon from M/string theory. |
1509.07516 | Thomas Creutzig | Thomas Creutzig, Yasuaki Hikida and Peter B. Ronne | Correspondences between WZNW models and CFTs with W-algebra symmetry | 42 pages | null | 10.1007/JHEP02(2016)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study theories with W-algebra symmetries and their relation to WZNW models
on (super-)groups. Correlation functions of the WZNW models are expressed in
terms of correlators of CFTs with W-algebra symmetry. The symmetries of the
theories involved in these correspondences are related by the Drinfeld-Sokolov
reduction of Lie algebras to W-algebras. The W-algebras considered in this
paper are the Bershadsky-Polyakov algebra for sl(3) and the
quasi-superconformal algebra for generic sl(N|M). The quantum W-algebras
obtained from affine sl(N) are constructed using embeddings of sl(2) into
sl(N), and these can in turn be characterized by partitions of N. The above
cases correspond to \underline{N+2} = \underline{2} + N \underline{1} and its
supergroup extension. Finally, sl(2N) and the correspondence corresponding to
\underline{2N} = N \underline{2} is also analyzed.
| [
{
"created": "Thu, 24 Sep 2015 20:10:50 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
],
[
"Ronne",
"Peter B.",
""
]
] | We study theories with W-algebra symmetries and their relation to WZNW models on (super-)groups. Correlation functions of the WZNW models are expressed in terms of correlators of CFTs with W-algebra symmetry. The symmetries of the theories involved in these correspondences are related by the Drinfeld-Sokolov reduction of Lie algebras to W-algebras. The W-algebras considered in this paper are the Bershadsky-Polyakov algebra for sl(3) and the quasi-superconformal algebra for generic sl(N|M). The quantum W-algebras obtained from affine sl(N) are constructed using embeddings of sl(2) into sl(N), and these can in turn be characterized by partitions of N. The above cases correspond to \underline{N+2} = \underline{2} + N \underline{1} and its supergroup extension. Finally, sl(2N) and the correspondence corresponding to \underline{2N} = N \underline{2} is also analyzed. |
2305.18529 | Kajal Singh | Chandramouli Chowdhury and Kajal Singh | Analytic Results for Loop-Level Momentum Space Witten Diagrams | 39 pages, v3: new things added to appendix, typos corrected,
references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents an evaluation of the wave function coefficients for
conformally coupled scalars at both one and two-loop levels at leading order in
the coupling constant, in momentum space. We take cues from time-dependent
interactions in flat spacetime and under suitable approximations, these can
also be used to study the wave function coefficients for general cosmologies.
We make use of recursion relations developed in arxiv:\{1709.02813\} to
regularize certain bulk-point integrals and express the wave function
coefficients in a form that simplifies the loop integrals. We utilize
hard-cutoff regularization to regularize the loop integrals and further provide
a discussion on their renormalization. Our results can also be analytically
continued to obtain answers for transition amplitudes in AdS.
| [
{
"created": "Mon, 29 May 2023 18:00:21 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2023 20:58:08 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Dec 2023 14:31:51 GMT",
"version": "v3"
}
] | 2023-12-08 | [
[
"Chowdhury",
"Chandramouli",
""
],
[
"Singh",
"Kajal",
""
]
] | This paper presents an evaluation of the wave function coefficients for conformally coupled scalars at both one and two-loop levels at leading order in the coupling constant, in momentum space. We take cues from time-dependent interactions in flat spacetime and under suitable approximations, these can also be used to study the wave function coefficients for general cosmologies. We make use of recursion relations developed in arxiv:\{1709.02813\} to regularize certain bulk-point integrals and express the wave function coefficients in a form that simplifies the loop integrals. We utilize hard-cutoff regularization to regularize the loop integrals and further provide a discussion on their renormalization. Our results can also be analytically continued to obtain answers for transition amplitudes in AdS. |
1310.3727 | Ali Seraj | K. Hajian, A. Seraj, M. M. Sheikh-Jabbari | NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics | 33 pages, No figures, To appear in JHEP | JHEP 1403 (2014) 014 | 10.1007/JHEP03(2014)014 | IPM/P-2013/033 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Near Horizon Extremal Geometries (NHEG) are solutions to gravity theories
with $ SL(2,R) \times U(1)^N $ (for some N) symmetry, are smooth geometries and
have no event horizon, unlike black holes. Following the ideas by R. M. Wald,
we derive laws of NHEG dynamics, the analogs of laws of black hole dynamics for
the NHEG. Despite the absence of horizon in the NHEG, one may associate an
entropy to the NHEG, as a Noether-Wald conserved charge. We work out entropy
and entropy perturbation laws, which are respectively universal relations
between conserved Noether charges corresponding to the NHEG and a system
probing the NHEG. Our entropy law is closely related to Sen's entropy function.
We also discuss whether the laws of NHEG dynamics can be obtained from the laws
of black hole thermodynamics in the extremal limit.
| [
{
"created": "Mon, 14 Oct 2013 15:45:59 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Oct 2013 13:26:55 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Feb 2014 19:52:06 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Hajian",
"K.",
""
],
[
"Seraj",
"A.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | Near Horizon Extremal Geometries (NHEG) are solutions to gravity theories with $ SL(2,R) \times U(1)^N $ (for some N) symmetry, are smooth geometries and have no event horizon, unlike black holes. Following the ideas by R. M. Wald, we derive laws of NHEG dynamics, the analogs of laws of black hole dynamics for the NHEG. Despite the absence of horizon in the NHEG, one may associate an entropy to the NHEG, as a Noether-Wald conserved charge. We work out entropy and entropy perturbation laws, which are respectively universal relations between conserved Noether charges corresponding to the NHEG and a system probing the NHEG. Our entropy law is closely related to Sen's entropy function. We also discuss whether the laws of NHEG dynamics can be obtained from the laws of black hole thermodynamics in the extremal limit. |
1008.1200 | Wojciech Zakrzewski | P.C. Stichel and W.J. Zakrzewski | Self-gravitating darkon fluid with anisotropic scaling | a small error corrected; the paper accepted for publication in EPJC | Eur.Phys.J.C70:713-721,2010 | 10.1140/epjc/s10052-010-1484-2 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fluid model for the dark sector of the universe (darkon fluid) introduced
previously in \cite{PRD} is reformulated as a modified model involving only
variables from physical phase space. The Lagrangian of the model does not
possess a free particle limit and hence the particles it describes, darkons,
exist only as a self-gravitating fluid. This darkon fluid presents a dynamical
realisation of the zero-mass Galilean algebra extended by anisotropic
dilational symmetry with dynamical exponent $z=5/3$. The model possesses
cosmologically relevant solutions which are identical to those of \cite{PRD}.
We derive also the equations for the cosmological perturbations at early times
and determine their solutions. In addition, we discuss also some implications
of adding higher spatial-derivative terms.
| [
{
"created": "Fri, 6 Aug 2010 13:51:00 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2010 09:36:40 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Sep 2010 15:25:53 GMT",
"version": "v3"
},
{
"created": "Tue, 2 Nov 2010 18:10:30 GMT",
"version": "v4"
}
] | 2010-12-15 | [
[
"Stichel",
"P. C.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] | The fluid model for the dark sector of the universe (darkon fluid) introduced previously in \cite{PRD} is reformulated as a modified model involving only variables from physical phase space. The Lagrangian of the model does not possess a free particle limit and hence the particles it describes, darkons, exist only as a self-gravitating fluid. This darkon fluid presents a dynamical realisation of the zero-mass Galilean algebra extended by anisotropic dilational symmetry with dynamical exponent $z=5/3$. The model possesses cosmologically relevant solutions which are identical to those of \cite{PRD}. We derive also the equations for the cosmological perturbations at early times and determine their solutions. In addition, we discuss also some implications of adding higher spatial-derivative terms. |
hep-th/0008020 | Davoud Kamani | Davoud Kamani | Noncommutative Superstring Worldsheet | 17 pages, Latex, no figur | Eur. Phys. J. C 26, 285-291 (2002) | 10.1140/epjc/s2002-01044-y | null | hep-th | null | In this paper we consider the worldsheet of superstring as a noncommutative
space. Some additional terms can be added to the superstring action, such that
for ordinary worldsheet they are zero. Expansion of this extended action up to
the first order of the noncommutativity parameter, leads to the new
supersymmetric action for string. For the closed superstring, we obtain the
boundary state that describes a brane. From the open string point of view, the
new boundary conditions on the worldsheet bosons, generalize the
noncommutativity of spacetime. Finally, we suggest some definitions for the
noncommutativity parameter of superstring worldsheet.
| [
{
"created": "Wed, 2 Aug 2000 11:49:33 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2002 12:45:46 GMT",
"version": "v2"
}
] | 2020-08-21 | [
[
"Kamani",
"Davoud",
""
]
] | In this paper we consider the worldsheet of superstring as a noncommutative space. Some additional terms can be added to the superstring action, such that for ordinary worldsheet they are zero. Expansion of this extended action up to the first order of the noncommutativity parameter, leads to the new supersymmetric action for string. For the closed superstring, we obtain the boundary state that describes a brane. From the open string point of view, the new boundary conditions on the worldsheet bosons, generalize the noncommutativity of spacetime. Finally, we suggest some definitions for the noncommutativity parameter of superstring worldsheet. |
1103.1382 | Martin Schnabl | Masaki Murata, Martin Schnabl | On Multibrane Solutions in Open String Field Theory | 8 pages. Contribution to the proceedings of the 3rd International
Conference on String Field Theory and Related Aspects (SFT 2010), Kyoto,
Japan, 18-22 Oct 2010 | Prog.Theor.Phys.Suppl.188:50-55,2011 | 10.1143/PTPS.188.50 | YITP-11-29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Existence of open string field theory solutions describing configurations of
multiple space-filling D-branes has been a subject of numerous speculations for
quite some time. In this talk we present some new results giving further
support to these ideas.
| [
{
"created": "Mon, 7 Mar 2011 21:00:03 GMT",
"version": "v1"
}
] | 2011-05-27 | [
[
"Murata",
"Masaki",
""
],
[
"Schnabl",
"Martin",
""
]
] | Existence of open string field theory solutions describing configurations of multiple space-filling D-branes has been a subject of numerous speculations for quite some time. In this talk we present some new results giving further support to these ideas. |
1306.6337 | Christoph Adam | C. Adam, C. Naya, J. Sanchez-Guillen, A. Wereszczynski | Rotational-vibrational coupling in the BPS Skyrme model of baryons | Latex, 9 pages. v2: some references added | null | 10.1016/j.physletb.2013.09.045 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the rotational-vibrational spectrum in the BPS Skyrme model for
the hedgehog skyrmion with baryon number one. The resulting excitation energies
for the nucleon and delta Roper resonances are slightly above their
experimental values. Together with the fact that in the standard Skyrme model
these excitation energies are significantly lower than the experimental ones,
this provides strong evidence for the conjecture that the inclusion of the BPS
Skyrme model is necessary for a successful quantitative description of physical
properties of baryons and nuclei.
| [
{
"created": "Wed, 26 Jun 2013 20:00:13 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2013 15:47:29 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Adam",
"C.",
""
],
[
"Naya",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | We calculate the rotational-vibrational spectrum in the BPS Skyrme model for the hedgehog skyrmion with baryon number one. The resulting excitation energies for the nucleon and delta Roper resonances are slightly above their experimental values. Together with the fact that in the standard Skyrme model these excitation energies are significantly lower than the experimental ones, this provides strong evidence for the conjecture that the inclusion of the BPS Skyrme model is necessary for a successful quantitative description of physical properties of baryons and nuclei. |
2304.07356 | Ryan Bilotta | Ryan Bilotta | A Traversable Wormhole from the Kerr Black Hole | 24 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The approach of Gao, Jafferis, and Wall to perturbatively construct
traversable wormholes has seen success in a number of black hole backgrounds,
particularly BTZ and $AdS_2$, whereas historically most wormhole solutions have
been either found to violate the achronal ANEC, violate a classical no-go
theorem, or exist only in astrophysically irrelevant spacetimes. In this work,
we show that a double-trace deformation to the near-horizon, near-extremal
region of Kerr yields a traversable wormhole. We also comment on the potential
for a fully nonperturbative approach to a four-dimensional rotating traversable
wormhole in asymptotically flat space.
| [
{
"created": "Fri, 14 Apr 2023 19:24:14 GMT",
"version": "v1"
}
] | 2023-04-18 | [
[
"Bilotta",
"Ryan",
""
]
] | The approach of Gao, Jafferis, and Wall to perturbatively construct traversable wormholes has seen success in a number of black hole backgrounds, particularly BTZ and $AdS_2$, whereas historically most wormhole solutions have been either found to violate the achronal ANEC, violate a classical no-go theorem, or exist only in astrophysically irrelevant spacetimes. In this work, we show that a double-trace deformation to the near-horizon, near-extremal region of Kerr yields a traversable wormhole. We also comment on the potential for a fully nonperturbative approach to a four-dimensional rotating traversable wormhole in asymptotically flat space. |
1708.02017 | Takahiro Uetoko | Yasuaki Hikida and Takahiro Uetoko | Three point functions in higher spin AdS_3 holography with 1/N
corrections | 30 pages, no figures, minor changes, a reference added, published
version | null | 10.3390/universe3040070 | YITP-17-82 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine three point functions with two scalar operators and a higher spin
current in 2d W_N minimal model to the next non-trivial order in 1/N expansion.
The minimal model was proposed to be dual to a 3d higher spin gauge theory, and
1/N corrections should be interpreted as quantum effects in the dual gravity
theory. We develop a simple and systematic method to obtain three point
functions by decomposing four point functions of scalar operators with Virasoro
conformal blocks. Applying the method, we reproduce known results at the
leading order in 1/N and obtain new ones at the next leading order. As
confirmation, we check that our results satisfy relations among three point
functions conjectured before.
| [
{
"created": "Mon, 7 Aug 2017 07:34:36 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Oct 2017 06:16:48 GMT",
"version": "v2"
}
] | 2017-10-11 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Uetoko",
"Takahiro",
""
]
] | We examine three point functions with two scalar operators and a higher spin current in 2d W_N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N corrections should be interpreted as quantum effects in the dual gravity theory. We develop a simple and systematic method to obtain three point functions by decomposing four point functions of scalar operators with Virasoro conformal blocks. Applying the method, we reproduce known results at the leading order in 1/N and obtain new ones at the next leading order. As confirmation, we check that our results satisfy relations among three point functions conjectured before. |
1708.00871 | Yingfei Gu | Yingfei Gu, Andrew Lucas and Xiao-Liang Qi | Spread of entanglement in a Sachdev-Ye-Kitaev chain | 1+46 pages, 11 figures | J. High Energ. Phys. (2017) 2017: 120 | 10.1007/JHEP09(2017)120 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spread of R\'enyi entropy between two halves of a
Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield
double (TFD) state. The SYK chain model is a model of chaotic many-body
systems, which describes a one-dimensional lattice of Majorana fermions, with
spatially local random quartic interaction. We find that for integer R\'enyi
index $n>1$, the R\'enyi entanglement entropy saturates at a parametrically
smaller value than expected. This implies that the TFD state of the SYK chain
does not rapidly thermalize, despite being maximally chaotic: instead, it
rapidly approaches a prethermal state. We compare our results to the signatures
of thermalization observed in other quenches in the SYK model, and to intuition
from nearly-$\mathrm{AdS}_2$ gravity.
| [
{
"created": "Wed, 2 Aug 2017 18:01:57 GMT",
"version": "v1"
}
] | 2017-09-29 | [
[
"Gu",
"Yingfei",
""
],
[
"Lucas",
"Andrew",
""
],
[
"Qi",
"Xiao-Liang",
""
]
] | We study the spread of R\'enyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a one-dimensional lattice of Majorana fermions, with spatially local random quartic interaction. We find that for integer R\'enyi index $n>1$, the R\'enyi entanglement entropy saturates at a parametrically smaller value than expected. This implies that the TFD state of the SYK chain does not rapidly thermalize, despite being maximally chaotic: instead, it rapidly approaches a prethermal state. We compare our results to the signatures of thermalization observed in other quenches in the SYK model, and to intuition from nearly-$\mathrm{AdS}_2$ gravity. |
hep-th/0112168 | Bert Schroer | Lucio Fassarella and Bert Schroer (CBPF, Rio de Janeiro) | Wigner Particle Theory and Local Quantum Physics | 43 pages, references added, last section expanded, minor corrections
and modifications in main text | J.Phys.A35:9123-9164,2002 | 10.1088/0305-4470/35/43/311 | null | hep-th | null | Wigner's irreducible positive energy representations of the Poincare group
are often used to give additional justifications for the Lagrangian
quantization formalism of standard QFT. Here we study another more recent
aspect. We explain in this paper modular concepts by which we are able to
construct the local operator algebras for all standard positive energy
representations directly i.e. without going through field coordinatizations. In
this way the artificial emphasis on Lagrangian field coordinates is avoided
from the very beginning. These new concepts allow to treat also those cases of
``exceptional'' Wigner representations associated with anyons and the famous
Wigner ``spin tower''which have remained inaccessible to Lagrangian
quantization. Together with the d=1+1 factorizing models (whose modular
construction has been studied previously), they form an interesting family of
theories with a rich vacuum-polarization structure (but no on shell real
particle creation) to which the modular methods can be applied for their
explicit construction. We explain and illustrate the algebraic strategy of this
construction. We also comment on possibilities of formulating the Wigner theory
in a setting of a noncommutative spacetime substrate. This is potentially
interesting in connection with recent unitarity- and Lorentz invariance-
preserving results of the special nonlocality caused by this kind of
noncommutativity.
| [
{
"created": "Wed, 19 Dec 2001 17:54:32 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2002 02:43:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Fassarella",
"Lucio",
"",
"CBPF, Rio de Janeiro"
],
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] | Wigner's irreducible positive energy representations of the Poincare group are often used to give additional justifications for the Lagrangian quantization formalism of standard QFT. Here we study another more recent aspect. We explain in this paper modular concepts by which we are able to construct the local operator algebras for all standard positive energy representations directly i.e. without going through field coordinatizations. In this way the artificial emphasis on Lagrangian field coordinates is avoided from the very beginning. These new concepts allow to treat also those cases of ``exceptional'' Wigner representations associated with anyons and the famous Wigner ``spin tower''which have remained inaccessible to Lagrangian quantization. Together with the d=1+1 factorizing models (whose modular construction has been studied previously), they form an interesting family of theories with a rich vacuum-polarization structure (but no on shell real particle creation) to which the modular methods can be applied for their explicit construction. We explain and illustrate the algebraic strategy of this construction. We also comment on possibilities of formulating the Wigner theory in a setting of a noncommutative spacetime substrate. This is potentially interesting in connection with recent unitarity- and Lorentz invariance- preserving results of the special nonlocality caused by this kind of noncommutativity. |
2102.08053 | Bahareh Binaei | B. Binaei Ghotbabadi and A. Sheykhi and G. H. Bordbar and A. Montakhab | Holographic paramagnetic-ferromagnetic phase transition of
Power-Maxwell-Gauss-Bonnet black holes | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the shooting method, we numerically investigate the properties of
holographic paramagnetism-ferromagnetism phase transition in the presence of
higher order Gauss-Bonnet (\emph{GB}) correction terms on the gravity side. On
the matter field side, however, we consider the effects of the Power-Maxwell
(\emph{PM}) nonlinear electrodynamics on the phase transition of this system.
For this purpose, we introduce a massive $2-$form coupled to \emph{PM} field,
and neglect the effects of $2-$form fields and gauge field on the background
geometry. We observe that increasing the strength of both the power parameter
$q$ and \emph{GB} coupling constant $\alpha$ decrease the critical temperature
of the holographic model, and lead to the harder formation of magnetic moment
in the black hole background. Interestingly, we find out that at low
temperatures, the spontaneous magnetization and ferromagnetic phase transition
happen in the absence of external magnetic field. In this case, the critical
exponent for magnetic moment has the mean field value, $1/2$, regardless of the
values of $q$ and $\alpha$. In the presence of external magnetic field,
however, the magnetic susceptibility satisfies the Curie-Weiss law.
| [
{
"created": "Tue, 16 Feb 2021 10:03:56 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jul 2021 08:03:07 GMT",
"version": "v2"
}
] | 2021-07-27 | [
[
"Ghotbabadi",
"B. Binaei",
""
],
[
"Sheykhi",
"A.",
""
],
[
"Bordbar",
"G. H.",
""
],
[
"Montakhab",
"A.",
""
]
] | Based on the shooting method, we numerically investigate the properties of holographic paramagnetism-ferromagnetism phase transition in the presence of higher order Gauss-Bonnet (\emph{GB}) correction terms on the gravity side. On the matter field side, however, we consider the effects of the Power-Maxwell (\emph{PM}) nonlinear electrodynamics on the phase transition of this system. For this purpose, we introduce a massive $2-$form coupled to \emph{PM} field, and neglect the effects of $2-$form fields and gauge field on the background geometry. We observe that increasing the strength of both the power parameter $q$ and \emph{GB} coupling constant $\alpha$ decrease the critical temperature of the holographic model, and lead to the harder formation of magnetic moment in the black hole background. Interestingly, we find out that at low temperatures, the spontaneous magnetization and ferromagnetic phase transition happen in the absence of external magnetic field. In this case, the critical exponent for magnetic moment has the mean field value, $1/2$, regardless of the values of $q$ and $\alpha$. In the presence of external magnetic field, however, the magnetic susceptibility satisfies the Curie-Weiss law. |
hep-th/0403295 | Yutaka Sakamura | Yutaka Sakamura | Geometry mediated SUSY breaking | 25 pages, LaTeX, no figures; final version to appear in PRD | Phys.Rev.D70:045012,2004 | 10.1103/PhysRevD.70.045012 | KAIST-TH 2004/01 | hep-th hep-ph | null | We investigate SUSY breaking mediated through the deformation of the
space-time geometry due to the backreaction of a nontrivial configuration of a
bulk scalar field. To illustrate its features, we work with a toy model in
which the bulk is four dimensions. Using the superconformal formulation of
SUGRA, we provide a systematic method of deriving the 3D effective action
expressed by the superfields, which can basically be extended to 5D SUGRA
straightforwardly.
| [
{
"created": "Wed, 31 Mar 2004 16:18:39 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2004 07:12:37 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jun 2004 07:11:14 GMT",
"version": "v3"
}
] | 2010-11-19 | [
[
"Sakamura",
"Yutaka",
""
]
] | We investigate SUSY breaking mediated through the deformation of the space-time geometry due to the backreaction of a nontrivial configuration of a bulk scalar field. To illustrate its features, we work with a toy model in which the bulk is four dimensions. Using the superconformal formulation of SUGRA, we provide a systematic method of deriving the 3D effective action expressed by the superfields, which can basically be extended to 5D SUGRA straightforwardly. |
hep-th/0009208 | Ulrika Magnea | Ulrika Magnea | Reply to Comment on Dirac spectral sum rules for QCD in three dimensions | 2 pages, LaTeX, no figures | Phys.Rev. D64 (2001) 018902 | 10.1103/PhysRevD.64.018902 | null | hep-th | null | I reply to the comment by Dr S. Nishigaki (hep-th/0007042) to my papers Phys.
Rev. D61 (2000) 056005 and Phys. Rev. D62 (2000) 016005.
| [
{
"created": "Tue, 26 Sep 2000 17:13:37 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Magnea",
"Ulrika",
""
]
] | I reply to the comment by Dr S. Nishigaki (hep-th/0007042) to my papers Phys. Rev. D61 (2000) 056005 and Phys. Rev. D62 (2000) 016005. |
hep-th/0602060 | Rozali | Kazumi Okuyama and Moshe Rozali | Hairpin Branes and D-Branes Behind the Horizon | 27 pages, 3 figures | JHEP0603:071,2006 | 10.1088/1126-6708/2006/03/071 | null | hep-th | null | We study Lorentzian D-particles in linear dilaton and the two dimensional
black hole backgrounds. The D-particle trajectory follows an accelerated
trajectory which is smeared by stringy corrections. For the black hole
background we find that the portion of the trajectory behind the horizon
appears to an asymptotic observer as ghost D-particle. This suggests a way of
constructing a matrix model for the Lorentzian black hole background.
| [
{
"created": "Mon, 6 Feb 2006 21:45:30 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Okuyama",
"Kazumi",
""
],
[
"Rozali",
"Moshe",
""
]
] | We study Lorentzian D-particles in linear dilaton and the two dimensional black hole backgrounds. The D-particle trajectory follows an accelerated trajectory which is smeared by stringy corrections. For the black hole background we find that the portion of the trajectory behind the horizon appears to an asymptotic observer as ghost D-particle. This suggests a way of constructing a matrix model for the Lorentzian black hole background. |
hep-th/9312106 | null | V. V. Dodonov, V. I. Man'ko, D. E. Nikonov | Even and odd coherent states (Schroedinger cat states) for multimode
parametric systems | LATEX,21 pages,INFN-NA-IV-93/49,DSF-T-93/49 | null | null | null | hep-th | null | The multimode even and odd coherent states (multimode Schroedinger cat
states) are constructed for polymode parametric oscillators of the
electromagnetic field. The evolution of the photon distribution function is
evaluated explicitly. The distribution function is expressed in terms of the
multivariable Hermite polynomials, its means and dispersions are calculated.
The conditions for the existence of squeezing are formulated. The correlations
among the different modes of Schroedinger cat states are studied.
| [
{
"created": "Mon, 13 Dec 1993 17:46:02 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Dodonov",
"V. V.",
""
],
[
"Man'ko",
"V. I.",
""
],
[
"Nikonov",
"D. E.",
""
]
] | The multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The distribution function is expressed in terms of the multivariable Hermite polynomials, its means and dispersions are calculated. The conditions for the existence of squeezing are formulated. The correlations among the different modes of Schroedinger cat states are studied. |
0804.2519 | Ki-Myeong Lee | Kazuo Hosomichi (KIAS), Ki-Myeong Lee (KIAS), Sungjay Lee (KIAS) | Mass-Deformed Bagger-Lambert Theory and its BPS Objects | 12 pages, JHEP style, no figures, corrected equations and corrected
reference | Phys.Rev.D78:066015,2008 | 10.1103/PhysRevD.78.066015 | KIAS-P08031 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a sixteen supersymmetric mass-deformed Bagger-Lambert theory with
$SO(4)\times SO(4)$ global R-symmetry. The R-charge plays the `non-central'
term in the superalgebra. This theory has one symmetric vacuum and two
in-equivalent broken sectors of vacua. Each sector of the broken symmetry has
the SO(4) geometry. We find the 1/2 BPS domain walls connecting the symmetric
phase and any broken phase, and 1/4 BPS supertube-like objects, which may
appear as anyonic q-balls in the symmetric phase or vortices in the broken
phase. We also discuss mass deformations which reduces the number of
supersymmetries.
| [
{
"created": "Wed, 16 Apr 2008 04:00:43 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Apr 2008 04:03:21 GMT",
"version": "v2"
},
{
"created": "Tue, 27 May 2008 01:43:21 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hosomichi",
"Kazuo",
"",
"KIAS"
],
[
"Lee",
"Ki-Myeong",
"",
"KIAS"
],
[
"Lee",
"Sungjay",
"",
"KIAS"
]
] | We find a sixteen supersymmetric mass-deformed Bagger-Lambert theory with $SO(4)\times SO(4)$ global R-symmetry. The R-charge plays the `non-central' term in the superalgebra. This theory has one symmetric vacuum and two in-equivalent broken sectors of vacua. Each sector of the broken symmetry has the SO(4) geometry. We find the 1/2 BPS domain walls connecting the symmetric phase and any broken phase, and 1/4 BPS supertube-like objects, which may appear as anyonic q-balls in the symmetric phase or vortices in the broken phase. We also discuss mass deformations which reduces the number of supersymmetries. |
hep-th/9912151 | Shamit Kachru | Shamit Kachru, Sheldon Katz, Albion Lawrence and John McGreevy | Open string instantons and superpotentials | 22 pages, harvmac big; v2, corrected some typos | Phys.Rev.D62:026001,2000 | 10.1103/PhysRevD.62.026001 | IASSNS-HEP-99/99, SU-ITP-99/50, SLAC-PUB-8314, NSF-ITP-99-142,
OSU-M-99-13 | hep-th | null | We study the F-terms in N=1 supersymmetric, d=4 gauge theories arising from
D(p+3)-branes wrapping supersymmetric p-cycles in a Calabi-Yau threefold. If p
is even the spectrum and superpotential for a single brane are determined by
purely classical ($\alpha^\prime \to 0$) considerations. If p=3,
superpotentials for massless modes are forbidden to all orders in
$\alpha^\prime$ and may only be generated by open string instantons. For this
latter case we find that such instanton effects are generically present. Mirror
symmetry relates even and odd p and thus perturbative and nonperturbative
superpotentials; we provide a preliminary discussion of a class of examples of
such mirror pairs.
| [
{
"created": "Thu, 16 Dec 1999 19:35:45 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jan 2000 00:52:30 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Kachru",
"Shamit",
""
],
[
"Katz",
"Sheldon",
""
],
[
"Lawrence",
"Albion",
""
],
[
"McGreevy",
"John",
""
]
] | We study the F-terms in N=1 supersymmetric, d=4 gauge theories arising from D(p+3)-branes wrapping supersymmetric p-cycles in a Calabi-Yau threefold. If p is even the spectrum and superpotential for a single brane are determined by purely classical ($\alpha^\prime \to 0$) considerations. If p=3, superpotentials for massless modes are forbidden to all orders in $\alpha^\prime$ and may only be generated by open string instantons. For this latter case we find that such instanton effects are generically present. Mirror symmetry relates even and odd p and thus perturbative and nonperturbative superpotentials; we provide a preliminary discussion of a class of examples of such mirror pairs. |
hep-th/9511036 | null | Jean-Pierre Derendinger | Gaugino condensation with a linear multiplet | 11 pages, LaTeX, no figures. Presented at SUSY95, Ecole
Polytechnique, Palaiseau (May 1995), to appear in Proc | null | null | NEIP-95-011 | hep-th | null | An effective lagrangian analysis of gaugino condensation is performed in a
supersymmetric gauge theory with field-dependent gauge couplings described with
a linear multiplet. An original aspect of this effective lagrangian is the use
of a real vector superfield to describe composite gauge invariant degrees of
freedom. The duality equivalence of this approach with the more familiar
formulation using a chiral superfield is demonstrated. These results strongly
suggest that chiral-linear duality survives nonperturbative effects in
superstrings.
| [
{
"created": "Mon, 6 Nov 1995 16:03:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Derendinger",
"Jean-Pierre",
""
]
] | An effective lagrangian analysis of gaugino condensation is performed in a supersymmetric gauge theory with field-dependent gauge couplings described with a linear multiplet. An original aspect of this effective lagrangian is the use of a real vector superfield to describe composite gauge invariant degrees of freedom. The duality equivalence of this approach with the more familiar formulation using a chiral superfield is demonstrated. These results strongly suggest that chiral-linear duality survives nonperturbative effects in superstrings. |
hep-th/0412037 | Bert Janssen | Bert Janssen, Yolanda Lozano, Diego Rodriguez-Gomez | Giant Gravitons as Fuzzy Manifolds | 6 pages, contribution to the proceedings of the Spanish Relativity
Meeting 2004 (Madrid, September 2004) | null | null | UG-FT-178/04, CAFPE-48/04 | hep-th | null | Giant gravitons are described microscopically in terms of dielectric
gravitational waves expanding into fuzzy manifolds. We review these
constructions in AdS_m \times S^n spacetimes, discussing the different fuzzy
manifolds that appear in each case.
| [
{
"created": "Fri, 3 Dec 2004 13:43:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Janssen",
"Bert",
""
],
[
"Lozano",
"Yolanda",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
]
] | Giant gravitons are described microscopically in terms of dielectric gravitational waves expanding into fuzzy manifolds. We review these constructions in AdS_m \times S^n spacetimes, discussing the different fuzzy manifolds that appear in each case. |
2310.12335 | Yiyang Jia | Micha Berkooz, Yiyang Jia, Navot Silberstein | Parisi's hypercube, Fock-space fluxes, and the microscopics of
near-AdS$_2$/near-CFT$_1$ duality | The companion paper of arxiv.org/abs/2303.18182 | Phys. Rev. D 109, 046013 (2024) | 10.1103/PhysRevD.109.046013 | null | hep-th cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el nlin.CD | http://creativecommons.org/licenses/by/4.0/ | Parisi's hypercube model describes a charged particle hopping on a
$d$-dimensional hypercube with disordered background fluxes in the large $d$
limit. It was noted previously [Jia and Verbaarschot, J. High Energy Phys. 11
(2020) 154] that the hypercube model at leading order in $1/d$ has the same
spectral density as the double-scaled Sachdev-Ye-Kitaev (DS-SYK) model. In this
work we identify the set of observables that have the same correlation
functions as the DS-SYK model, demonstrating that the hypercube model is an
equally good microscopic model for near-AdS$_2$/near-CFT$_1$ holography. Unlike
the SYK model, the hypercube model is not $p$-local. Rather, we note that the
shared feature between the two models is that they both have a large amount of
disordered but uniform fluxes on their Fock-space graphs, and we propose this
is a broader characterization of near-CFT$_1$ microscopics. Moreover, we
suggest that the hypercube model can be viewed as the operator growth model of
the DS-SYK model. We explain some universality in subleading corrections and
relate them to bulk vertices. Finally, we revise a claim made the
aforementioned reference about the existence of a spectral gap.
| [
{
"created": "Wed, 18 Oct 2023 21:22:48 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Apr 2024 09:15:51 GMT",
"version": "v2"
}
] | 2024-04-05 | [
[
"Berkooz",
"Micha",
""
],
[
"Jia",
"Yiyang",
""
],
[
"Silberstein",
"Navot",
""
]
] | Parisi's hypercube model describes a charged particle hopping on a $d$-dimensional hypercube with disordered background fluxes in the large $d$ limit. It was noted previously [Jia and Verbaarschot, J. High Energy Phys. 11 (2020) 154] that the hypercube model at leading order in $1/d$ has the same spectral density as the double-scaled Sachdev-Ye-Kitaev (DS-SYK) model. In this work we identify the set of observables that have the same correlation functions as the DS-SYK model, demonstrating that the hypercube model is an equally good microscopic model for near-AdS$_2$/near-CFT$_1$ holography. Unlike the SYK model, the hypercube model is not $p$-local. Rather, we note that the shared feature between the two models is that they both have a large amount of disordered but uniform fluxes on their Fock-space graphs, and we propose this is a broader characterization of near-CFT$_1$ microscopics. Moreover, we suggest that the hypercube model can be viewed as the operator growth model of the DS-SYK model. We explain some universality in subleading corrections and relate them to bulk vertices. Finally, we revise a claim made the aforementioned reference about the existence of a spectral gap. |
1601.03048 | \'Arp\'ad Luk\'acs | Theodora Ioannidou, Arpad Lukacs | Time-Dependent BPS Skyrmions | 16 pages, 5 figures. Typo fixed, journal reference added | J. Math. Phys. 57, 022901 (2016) | 10.1063/1.4940695 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An extended version of the BPS Skyrme model that admits time-dependent
solutions is discussed. Initially, by introducing a power law at the original
potential term of the BPS Skyrme model the existence, stability and structure
of the corresponding solutions is investigated. Then, the frequencies and
half-lifes of the radial oscillations of the constructed time-dependent
solutions are determined.
| [
{
"created": "Tue, 12 Jan 2016 21:00:15 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 2016 17:14:54 GMT",
"version": "v2"
}
] | 2016-02-01 | [
[
"Ioannidou",
"Theodora",
""
],
[
"Lukacs",
"Arpad",
""
]
] | An extended version of the BPS Skyrme model that admits time-dependent solutions is discussed. Initially, by introducing a power law at the original potential term of the BPS Skyrme model the existence, stability and structure of the corresponding solutions is investigated. Then, the frequencies and half-lifes of the radial oscillations of the constructed time-dependent solutions are determined. |
hep-th/0501061 | Claudio Carmeli | C. Carmeli, G. Cassinelli, A. Toigo and V.S. Varadarajan | Unitary representations of super Lie groups and applications to the
classification and multiplet structure of super particles | 55 pages LaTeX, some corrections added after comments by Prof. Pierre
Deligne | Commun.Math.Phys. 263 (2006) 217-258 | 10.1007/s00220-005-1452-0 | null | hep-th math-ph math.MP math.RT quant-ph | null | It is well known that the category of super Lie groups (SLG) is equivalent to
the category of super Harish-Chandra pairs (SHCP). Using this equivalence, we
define the category of unitary representations (UR's) of a super Lie group. We
give an extension of the classical inducing construction and Mackey
imprimitivity theorem to this setting. We use our results to classify the
irreducible unitary representations of semidirect products of super translation
groups by classical Lie groups, in particular of the super Poincar\'e groups in
arbitrary dimension. Finally we compare our results with those in the physical
literature on the structure and classification of super multiplets.
| [
{
"created": "Mon, 10 Jan 2005 09:14:06 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2005 09:56:02 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Jul 2005 07:52:33 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Carmeli",
"C.",
""
],
[
"Cassinelli",
"G.",
""
],
[
"Toigo",
"A.",
""
],
[
"Varadarajan",
"V. S.",
""
]
] | It is well known that the category of super Lie groups (SLG) is equivalent to the category of super Harish-Chandra pairs (SHCP). Using this equivalence, we define the category of unitary representations (UR's) of a super Lie group. We give an extension of the classical inducing construction and Mackey imprimitivity theorem to this setting. We use our results to classify the irreducible unitary representations of semidirect products of super translation groups by classical Lie groups, in particular of the super Poincar\'e groups in arbitrary dimension. Finally we compare our results with those in the physical literature on the structure and classification of super multiplets. |
hep-th/9607107 | null | I.R. Klebanov and A.A. Tseytlin | Near-extremal black hole entropy and fluctuating 3-branes | 17 pages, harvmac (misprints corrected) | Nucl.Phys.B479:319-335,1996 | 10.1016/0550-3213(96)00459-2 | PUPT-1639, Imperial/TP/95-96/57 | hep-th | null | We discuss the known microscopic interpretations of the Bekenstein-Hawking
entropy for configurations of intersecting M-branes. In some cases the entropy
scales as that of a massless field theory on the intersection. A different
situation, found for configurations which reduce to 1-charge D=5 black holes or
2-charge D=4 black holes, is explained by a gas of non-critical strings at
their Hagedorn temperature. We further suggest that the entropy of
configurations reducing to 1-charge D=4 black holes is due to 3-branes moving
within 5-branes.
| [
{
"created": "Sat, 13 Jul 1996 19:11:37 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jul 1996 23:38:28 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Klebanov",
"I. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We discuss the known microscopic interpretations of the Bekenstein-Hawking entropy for configurations of intersecting M-branes. In some cases the entropy scales as that of a massless field theory on the intersection. A different situation, found for configurations which reduce to 1-charge D=5 black holes or 2-charge D=4 black holes, is explained by a gas of non-critical strings at their Hagedorn temperature. We further suggest that the entropy of configurations reducing to 1-charge D=4 black holes is due to 3-branes moving within 5-branes. |
0907.1691 | Kurt Hinterbichler | Ethan Dyer, Kurt Hinterbichler | Boundary Terms and Junction Conditions for the DGP Pi-Lagrangian and
Galileon | 23 pages, 1 figure. Extended the analysis to the general galileon
field. Version to appear in JHEP | JHEP 0911:059,2009 | 10.1088/1126-6708/2009/11/059 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the decoupling limit of DGP, Pi describes the brane-bending degree of
freedom. It obeys second order equations of motion, yet it is governed by a
higher derivative Lagrangian. We show that, analogously to the Einstein-Hilbert
action for GR, the Pi-Lagrangian requires Gibbons-Hawking-York type boundary
terms to render the variational principle well-posed. These terms are important
if there are other boundaries present besides the DGP brane, such as in higher
dimensional cascading DGP models. We derive the necessary boundary terms in two
ways. First, we derive them directly from the brane-localized Pi-Lagrangian by
demanding well-posedness of the action. Second, we calculate them directly from
the bulk, taking into account the Gibbons-Hawking-York terms in the bulk
Einstein-Hilbert action. As an application, we use the new boundary terms to
derive Israel junction conditions for Pi across a sheet-like source. In
addition, we calculate boundary terms and junction conditions for the galileons
which generalize the DGP Pi-lagrangian, showing that the boundary term for the
n-th order galileon is the (n-1)-th order galileon.
| [
{
"created": "Thu, 9 Jul 2009 22:31:32 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2009 21:34:34 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Dyer",
"Ethan",
""
],
[
"Hinterbichler",
"Kurt",
""
]
] | In the decoupling limit of DGP, Pi describes the brane-bending degree of freedom. It obeys second order equations of motion, yet it is governed by a higher derivative Lagrangian. We show that, analogously to the Einstein-Hilbert action for GR, the Pi-Lagrangian requires Gibbons-Hawking-York type boundary terms to render the variational principle well-posed. These terms are important if there are other boundaries present besides the DGP brane, such as in higher dimensional cascading DGP models. We derive the necessary boundary terms in two ways. First, we derive them directly from the brane-localized Pi-Lagrangian by demanding well-posedness of the action. Second, we calculate them directly from the bulk, taking into account the Gibbons-Hawking-York terms in the bulk Einstein-Hilbert action. As an application, we use the new boundary terms to derive Israel junction conditions for Pi across a sheet-like source. In addition, we calculate boundary terms and junction conditions for the galileons which generalize the DGP Pi-lagrangian, showing that the boundary term for the n-th order galileon is the (n-1)-th order galileon. |
hep-th/9408051 | Toshio Nakatsu | Toshio Nakatsu | The topological string associated with a simple singularity of type $D$ | INS-Rep-1047, 14pp. (Some typo errors in the main text have been
corrected.) | Phys.Lett.B347:234-240,1995 | 10.1016/0370-2693(95)00060-X | null | hep-th | null | The partition function of $D_{N+1}$ topological string, the coupled system of
topological gravity and $D_{N+1}$ topological minimal matter , is proposed in
the framework of KP hierarchy. It is specified by the elements of $GL(\infty)$
which constitute the deformed family from the $A_{2N-1}$ topological string.
Its dispersionless limit is investigated from the view of both dispersionless
KP hierarchy and singularity theory. In particular the free energy restricted
on the small phase space coincides with that for the topological
Landau-Ginzburg model of type $D_{N+1}$.
| [
{
"created": "Tue, 9 Aug 1994 08:47:05 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 1994 07:31:27 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Nakatsu",
"Toshio",
""
]
] | The partition function of $D_{N+1}$ topological string, the coupled system of topological gravity and $D_{N+1}$ topological minimal matter , is proposed in the framework of KP hierarchy. It is specified by the elements of $GL(\infty)$ which constitute the deformed family from the $A_{2N-1}$ topological string. Its dispersionless limit is investigated from the view of both dispersionless KP hierarchy and singularity theory. In particular the free energy restricted on the small phase space coincides with that for the topological Landau-Ginzburg model of type $D_{N+1}$. |
hep-th/0509117 | Guido Festuccia | Mauro Brigante, Guido Festuccia, Hong Liu (MIT, LNS) | Inheritance principle and Non-renormalization theorems at finite
temperature | 14 pages, uses harvmac v2: reference added, the role of
hep-th/0505148 emphasized | Phys.Lett.B638:538-545,2006 | 10.1016/j.physletb.2006.05.025 | MIT-CTP-3679 | hep-th | null | We present a general proof of an ``inheritance principle'' satisfied by a
weakly coupled SU(N) gauge theory with adjoint matter on a class of compact
manifolds (like $S^3$). In the large $N$ limit, finite temperature correlation
functions of gauge invariant single-trace operators in the low temperature
phase are related to those at zero temperature by summing over images of each
operator in the Euclidean time direction. As a consequence, various
non-renormalization theorems of $\NN=4$ Super-Yang-Mills theory on $S^3$
survive at finite temperature despite the fact that the conformal and
supersymmetries are both broken.
| [
{
"created": "Thu, 15 Sep 2005 15:24:55 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2005 13:52:09 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brigante",
"Mauro",
"",
"MIT, LNS"
],
[
"Festuccia",
"Guido",
"",
"MIT, LNS"
],
[
"Liu",
"Hong",
"",
"MIT, LNS"
]
] | We present a general proof of an ``inheritance principle'' satisfied by a weakly coupled SU(N) gauge theory with adjoint matter on a class of compact manifolds (like $S^3$). In the large $N$ limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by summing over images of each operator in the Euclidean time direction. As a consequence, various non-renormalization theorems of $\NN=4$ Super-Yang-Mills theory on $S^3$ survive at finite temperature despite the fact that the conformal and supersymmetries are both broken. |
1902.04078 | Subir Sachdev | Subir Sachdev | Universal low temperature theory of charged black holes with AdS$_2$
horizons | 24 pages, 2 figures; based on part of my lectures at the 36th
Jerusalem Winter School at the Israel Institute for Advanced Studies | Journal of Mathematical Physics 60, 052303 (2019) | 10.1063/1.5092726 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the low temperature quantum theory of a charged black hole of
zero temperature horizon radius $R_h$, in a spacetime which is asymptotically
AdS$_{D}$ ($D > 3$) far from the horizon. At temperatures $T \ll 1/R_h$, the
near-horizon geometry is AdS$_2$, and the black hole is described by a
universal 0+1 dimensional effective quantum theory of time diffeomorphisms with
a Schwarzian action, and a phase mode conjugate to the U(1) charge. We obtain
this universal 0+1 dimensional effective theory starting from the full
$D$-dimensional Einstein-Maxwell theory, while keeping quantitative track of
the couplings. The couplings of the effective theory are found to be in
agreement with those expected from the thermodynamics of the $D$-dimensional
black hole.
| [
{
"created": "Mon, 11 Feb 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Feb 2019 17:44:33 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Apr 2019 08:31:04 GMT",
"version": "v3"
}
] | 2019-05-21 | [
[
"Sachdev",
"Subir",
""
]
] | We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius $R_h$, in a spacetime which is asymptotically AdS$_{D}$ ($D > 3$) far from the horizon. At temperatures $T \ll 1/R_h$, the near-horizon geometry is AdS$_2$, and the black hole is described by a universal 0+1 dimensional effective quantum theory of time diffeomorphisms with a Schwarzian action, and a phase mode conjugate to the U(1) charge. We obtain this universal 0+1 dimensional effective theory starting from the full $D$-dimensional Einstein-Maxwell theory, while keeping quantitative track of the couplings. The couplings of the effective theory are found to be in agreement with those expected from the thermodynamics of the $D$-dimensional black hole. |
hep-th/9512116 | null | N. Dorey, C. Fraser, T.J. Hollowood and M.A.C. Kneipp | Non-abelian duality in N=4 supersymmetric gauge theories | 31 pages, plain tex with macro included. Expanded version, minor
corrections and additional discussion, comparison of results with recent work
on the SU(3) case with maximal symmetry breaking | null | null | SWAT/96, CBPF-NF-001/96 | hep-th | null | A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality
conjecture for gauge theories with adjoint Higgs fields is performed for the
case where the unbroken gauge group is non-abelian. The monopole solutions of
the theory transform under the non-abelian part of the unbroken global symmetry
and the associated component of the moduli space is a Lie group coset space.
The well-known problems in introducing collective coordinates for these
degrees-of-freedom are solved by considering suitable multi-monopole
configurations in which the long-range non-abelian fields cancel. In the
context of an $N=4$ supersymmetric gauge theory, the multiplicity of BPS
saturated states is given by the number of ground-states of a supersymmetric
quantum mechanics on the compact internal moduli space. The resulting
degeneracy is expressed as the Euler character of the coset space. In all cases
the number of states is consistent with the dimensions of the multiplets of the
unbroken dual gauge group, and hence the results provide strong support for the
GNO conjecture.
| [
{
"created": "Fri, 15 Dec 1995 17:20:39 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 1996 15:50:22 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dorey",
"N.",
""
],
[
"Fraser",
"C.",
""
],
[
"Hollowood",
"T. J.",
""
],
[
"Kneipp",
"M. A. C.",
""
]
] | A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken global symmetry and the associated component of the moduli space is a Lie group coset space. The well-known problems in introducing collective coordinates for these degrees-of-freedom are solved by considering suitable multi-monopole configurations in which the long-range non-abelian fields cancel. In the context of an $N=4$ supersymmetric gauge theory, the multiplicity of BPS saturated states is given by the number of ground-states of a supersymmetric quantum mechanics on the compact internal moduli space. The resulting degeneracy is expressed as the Euler character of the coset space. In all cases the number of states is consistent with the dimensions of the multiplets of the unbroken dual gauge group, and hence the results provide strong support for the GNO conjecture. |
1307.2216 | Andrey Morozov | A.Anokhina and An.Morozov | Cabling procedure for the colored HOMFLY polynomials | 52 pages + Tables of Colored Knot Polynomials | Teor.Mat.Fiz. 178 (2014) 3-68; Theor.Math.Phys. 178 (2014) 1-58 | 10.4213/tmf8588 | ITEP/TH-23/13 | hep-th math-ph math.GT math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper we discuss the cabling procedure for the colored HOMFLY
polynomial. We describe how it can be used and how one can find all the
quantities such as projectors and $\mathcal{R}$-matrices, which are needed in
this procedure. The constructed matrix forms of the projectors and the
fundamental $\mathcal{R}$-matrices allow one in principle (neglecting the
computational difficulties) to find the HOMFLY polynomial in any representation
for any knot. We also discuss the group theory explanation of the cabling
procedure. This leads to the explanations of the form of the fundamental
$\mathcal{R}$-matrices and illuminates several conjectures proposed in previous
papers.
| [
{
"created": "Mon, 8 Jul 2013 19:43:40 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 2014 12:49:47 GMT",
"version": "v2"
}
] | 2014-07-07 | [
[
"Anokhina",
"A.",
""
],
[
"Morozov",
"An.",
""
]
] | In the present paper we discuss the cabling procedure for the colored HOMFLY polynomial. We describe how it can be used and how one can find all the quantities such as projectors and $\mathcal{R}$-matrices, which are needed in this procedure. The constructed matrix forms of the projectors and the fundamental $\mathcal{R}$-matrices allow one in principle (neglecting the computational difficulties) to find the HOMFLY polynomial in any representation for any knot. We also discuss the group theory explanation of the cabling procedure. This leads to the explanations of the form of the fundamental $\mathcal{R}$-matrices and illuminates several conjectures proposed in previous papers. |
0906.3439 | Zhao-Long Wang | Zhao-Long Wang, H. Lu | Most General Spherically Symmetric M2-branes and Type IIB Strings | 37 pages, 1 table, revised version to appear in PRD | Phys.Rev.D80:066008,2009 | 10.1103/PhysRevD.80.066008 | MIFP-09-26, USTC-ICTS-09-09 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the most general spherically symmetric M2-branes and type IIB
strings, with \R^{1,2}\times SO(8) and \R^{1,1}\times SO(8) isometries
respectively. We find that there are twelve different classes of M2-branes, and
we study their curvature properties. In particular we obtain new smooth
M2-brane wormholes that connect two asymptotic regions: one is flat and the
other can be either flat or AdS_4\times S^7. We find that these wormholes are
traversable with certain time-like trajectories. We also obtain the most
general Ricci-flat solutions in five dimensions with \R^{1,1}\times SO(3)
isometries.
| [
{
"created": "Thu, 18 Jun 2009 13:16:56 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2009 14:51:14 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Sep 2009 13:57:22 GMT",
"version": "v3"
}
] | 2009-09-19 | [
[
"Wang",
"Zhao-Long",
""
],
[
"Lu",
"H.",
""
]
] | We obtain the most general spherically symmetric M2-branes and type IIB strings, with \R^{1,2}\times SO(8) and \R^{1,1}\times SO(8) isometries respectively. We find that there are twelve different classes of M2-branes, and we study their curvature properties. In particular we obtain new smooth M2-brane wormholes that connect two asymptotic regions: one is flat and the other can be either flat or AdS_4\times S^7. We find that these wormholes are traversable with certain time-like trajectories. We also obtain the most general Ricci-flat solutions in five dimensions with \R^{1,1}\times SO(3) isometries. |
hep-th/9501084 | Henric Rhedin | Stephen Hwang and Henric Rhedin | Construction of BRST invariant states in $G/H$ WZNW models. | 12 pages, latex | Phys.Lett. B350 (1995) 38-43 | 10.1016/0370-2693(95)00339-M | G\"oteborg ITP 94-26 | hep-th math.QA q-alg | null | We study the cohomology arising in the BRST formulation of G/H gauged WZNW
models, i.e. in which the states of the gauged theory are projected out from
the ungauged one by means of a BRST condition. We will derive for a general
simple group $H$ with arbitrary level, conditions for which the cohomology is
non-trivial. We show, by introducing a small perturbation due to Jantzen, in
the highest weights of the representations, how states in the cohomology,
"singlet pairs", arise from unphysical states, "Kugo-Ojima quartets", as the
perturbation is set to zero. This will enable us to identify and construct
states in the cohomology. The ghost numbers that will occur are $\pm p$, with
$p$ uniquely determined by the representations of the algebras involved. Our
construction is given in terms of the current modes and relies on the explicit
form of highest weight null-states given by Malikov, Feigen and Fuchs.
| [
{
"created": "Thu, 19 Jan 1995 08:24:57 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Hwang",
"Stephen",
""
],
[
"Rhedin",
"Henric",
""
]
] | We study the cohomology arising in the BRST formulation of G/H gauged WZNW models, i.e. in which the states of the gauged theory are projected out from the ungauged one by means of a BRST condition. We will derive for a general simple group $H$ with arbitrary level, conditions for which the cohomology is non-trivial. We show, by introducing a small perturbation due to Jantzen, in the highest weights of the representations, how states in the cohomology, "singlet pairs", arise from unphysical states, "Kugo-Ojima quartets", as the perturbation is set to zero. This will enable us to identify and construct states in the cohomology. The ghost numbers that will occur are $\pm p$, with $p$ uniquely determined by the representations of the algebras involved. Our construction is given in terms of the current modes and relies on the explicit form of highest weight null-states given by Malikov, Feigen and Fuchs. |
2004.03570 | Leong Khim Wong | Leong Khim Wong | Evolution of diffuse scalar clouds around binary black holes | Version accepted for publication. 16 pages + appendices, 3 figures.
Some minor clarifications added since v1 | Phys. Rev. D 101, 124049 (2020) | 10.1103/PhysRevD.101.124049 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The use of modern effective field theory techniques has sparked significant
developments in many areas of physics, including the study of gravity. Case in
point, such techniques have recently been used to show that binary black holes
can amplify incident, low-frequency radiation due to an interplay between
absorption at the horizons and momentum transfer in the bulk of the spacetime.
In this paper, we further examine the consequences of this superradiant
mechanism on the dynamics of an ambient scalar field by taking the binary's
long-range gravitational potential into account at the nonperturbative level.
Doing so allows us to capture the formation of scalar clouds that are
gravitationally bound to the binary. If the scalar is light enough, the cloud
can be sufficiently diffuse (i.e., dilute while having considerable spatial
extent) that it engulfs the binary as a whole. Its subsequent evolution
exhibits an immensely rich phenomenology, which includes exponential growth,
beating patterns, and the upscattering of bound states into scalar waves. While
we find that these effects have negligible influence on the binary's inspiral
in the regime wherein our approximations are valid, they offer new, analytic
insight into how binary black holes interact with external perturbations. They
may also provide useful, qualitative intuition for interpreting the results
from future numerical simulations of these complex systems.
| [
{
"created": "Tue, 7 Apr 2020 17:48:18 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 15:21:05 GMT",
"version": "v2"
}
] | 2020-06-23 | [
[
"Wong",
"Leong Khim",
""
]
] | The use of modern effective field theory techniques has sparked significant developments in many areas of physics, including the study of gravity. Case in point, such techniques have recently been used to show that binary black holes can amplify incident, low-frequency radiation due to an interplay between absorption at the horizons and momentum transfer in the bulk of the spacetime. In this paper, we further examine the consequences of this superradiant mechanism on the dynamics of an ambient scalar field by taking the binary's long-range gravitational potential into account at the nonperturbative level. Doing so allows us to capture the formation of scalar clouds that are gravitationally bound to the binary. If the scalar is light enough, the cloud can be sufficiently diffuse (i.e., dilute while having considerable spatial extent) that it engulfs the binary as a whole. Its subsequent evolution exhibits an immensely rich phenomenology, which includes exponential growth, beating patterns, and the upscattering of bound states into scalar waves. While we find that these effects have negligible influence on the binary's inspiral in the regime wherein our approximations are valid, they offer new, analytic insight into how binary black holes interact with external perturbations. They may also provide useful, qualitative intuition for interpreting the results from future numerical simulations of these complex systems. |
2303.10107 | Sirui Ning | Yichen Hu, Sirui Ning and Yehao Zhou | Decomposition of $\mathcal{N}=1$ superconformal minimal models and their
fractional quantum Hall wavefunctions | null | null | null | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $\mathcal{N}=1$ superconformal minimal models are the first series of unitary
conformal field theories (CFTs) extending beyond Virasoro algebra. Using coset
constructions, we characterize CFTs in $\mathcal{N}=1$ superconformal minimal
models using combinations of a parafermion theory, an Ising theory and a free
boson theory. Supercurrent operators in the original theory also becomes sums
of operators from each constituent theory. If we take our $\mathcal{N}=1$
superconformal theories as the neutral part of the edge theory of a fractional
quantum Hall state, we present a systematic way of calculating its ground state
wavefunction using free field methods. Each ground state wavefunction is known
previously as a sum of polynomials with distinct clustering behaviours. Based
on our decomposition, we find explicit expressions for each summand polynomial.
A brief generalization to $S_3$ minimal models using coset construction is also
included.
| [
{
"created": "Fri, 17 Mar 2023 16:39:05 GMT",
"version": "v1"
}
] | 2023-03-20 | [
[
"Hu",
"Yichen",
""
],
[
"Ning",
"Sirui",
""
],
[
"Zhou",
"Yehao",
""
]
] | $\mathcal{N}=1$ superconformal minimal models are the first series of unitary conformal field theories (CFTs) extending beyond Virasoro algebra. Using coset constructions, we characterize CFTs in $\mathcal{N}=1$ superconformal minimal models using combinations of a parafermion theory, an Ising theory and a free boson theory. Supercurrent operators in the original theory also becomes sums of operators from each constituent theory. If we take our $\mathcal{N}=1$ superconformal theories as the neutral part of the edge theory of a fractional quantum Hall state, we present a systematic way of calculating its ground state wavefunction using free field methods. Each ground state wavefunction is known previously as a sum of polynomials with distinct clustering behaviours. Based on our decomposition, we find explicit expressions for each summand polynomial. A brief generalization to $S_3$ minimal models using coset construction is also included. |
hep-th/0203273 | Bayram Tekin | S. Deser, Bayram Tekin | Massive, Topologically Massive, Models | 7 pages, typos corrected, reference added | Class.Quant.Grav.19:L97-L100,2002 | 10.1088/0264-9381/19/11/101 | BRX-TH-499 | hep-th gr-qc | null | In three dimensions, there are two distinct mass-generating mechanisms for
gauge fields: adding the usual Proca/Pauli-Fierz, or the more esoteric
Chern-Simons (CS), terms. Here we analyze the three-term models where both
types are present, and their various limits. Surprisingly, in the tensor case,
these seemingly innocuous systems are physically unacceptable. If the sign of
the Einstein term is ``wrong'' as is in fact required in the CS case, then the
excitation masses are always complex; with the usual sign, there is a (known)
region of the two mass parameters where reality is restored, but instead we
show that a ghost problem arises, while, for the ``pure mass'' two-term system
without an Einstein action, complex masses are unavoidable. This contrasts with
the smooth behavior of the corresponding vector models. Separately, we show
that the ``partial masslessness'' exhibited by (plain) massive spin-2 models in
de Sitter backgrounds is formally shared by the three-term system: it also
enjoys a reduced local gauge invariance when this mass parameter is tuned to
the cosmological constant.
| [
{
"created": "Thu, 28 Mar 2002 20:56:18 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2002 21:13:47 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Deser",
"S.",
""
],
[
"Tekin",
"Bayram",
""
]
] | In three dimensions, there are two distinct mass-generating mechanisms for gauge fields: adding the usual Proca/Pauli-Fierz, or the more esoteric Chern-Simons (CS), terms. Here we analyze the three-term models where both types are present, and their various limits. Surprisingly, in the tensor case, these seemingly innocuous systems are physically unacceptable. If the sign of the Einstein term is ``wrong'' as is in fact required in the CS case, then the excitation masses are always complex; with the usual sign, there is a (known) region of the two mass parameters where reality is restored, but instead we show that a ghost problem arises, while, for the ``pure mass'' two-term system without an Einstein action, complex masses are unavoidable. This contrasts with the smooth behavior of the corresponding vector models. Separately, we show that the ``partial masslessness'' exhibited by (plain) massive spin-2 models in de Sitter backgrounds is formally shared by the three-term system: it also enjoys a reduced local gauge invariance when this mass parameter is tuned to the cosmological constant. |
hep-th/9212004 | H. J. Otto | H. Dorn and H.-J. Otto | Remarks on the continuum formulation of noncritical strings | 13 pages, Latex, HU Berlin-IEP 92/7 | null | null | null | hep-th | null | We discuss various aspects of the calculation of correlation functions in
conformal theories coupled to quantized 2-dimensional gravity. The main
emphasis lies on the construction of a continuation in the number of insertions
of the cosmological constant operator for $arbitrary$ dimension of the target
space. Following closely our paper \cite{DO2} we add a more extended
introduction and discussion of the peculiarities in 1-dimensional target space
as well as some further remarks about the 4-point function.
| [
{
"created": "Tue, 1 Dec 1992 16:22:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dorn",
"H.",
""
],
[
"Otto",
"H. -J.",
""
]
] | We discuss various aspects of the calculation of correlation functions in conformal theories coupled to quantized 2-dimensional gravity. The main emphasis lies on the construction of a continuation in the number of insertions of the cosmological constant operator for $arbitrary$ dimension of the target space. Following closely our paper \cite{DO2} we add a more extended introduction and discussion of the peculiarities in 1-dimensional target space as well as some further remarks about the 4-point function. |
2006.11037 | Arnab Kundu | Arnab Kundu | Fast Scrambling under an RG-flow | 24 pages. Comments welcome | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The notion of information scrambling is tied to the long-time behaviour of a
system and therefore is related to its infra-red dynamics. In fast scramblers,
information spreads as a logarithmic function of the number of degrees of
freedom. Ordinarily, under an RG-flow, scrambling will become faster in the IR
since many degrees of freedom are integrated out, as a consequence of the
c-theorem. In this article, we consider a class of Holographic quantum field
theories (QFT), which are strongly coupled large $N$ gauge theories with large
number of adjoint and fundamental matter, in which scrambling slows down in the
IR. This happens since more degrees of freedom are inserted in the IR, compared
to the UV, in a precise sense. For generic large $N$ gauge theories, we also
explore general, perturbative flow features of the corresponding Lyapunov
exponent, based on the Callan-Symanzik equation.
| [
{
"created": "Fri, 19 Jun 2020 09:40:31 GMT",
"version": "v1"
}
] | 2020-06-22 | [
[
"Kundu",
"Arnab",
""
]
] | The notion of information scrambling is tied to the long-time behaviour of a system and therefore is related to its infra-red dynamics. In fast scramblers, information spreads as a logarithmic function of the number of degrees of freedom. Ordinarily, under an RG-flow, scrambling will become faster in the IR since many degrees of freedom are integrated out, as a consequence of the c-theorem. In this article, we consider a class of Holographic quantum field theories (QFT), which are strongly coupled large $N$ gauge theories with large number of adjoint and fundamental matter, in which scrambling slows down in the IR. This happens since more degrees of freedom are inserted in the IR, compared to the UV, in a precise sense. For generic large $N$ gauge theories, we also explore general, perturbative flow features of the corresponding Lyapunov exponent, based on the Callan-Symanzik equation. |
1607.05370 | Cheng-Yang Lee | Cheng-Yang Lee | Spin and helicity of massive particles | References added. Typos and claims are corrected. 4 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is a well-known fact that helicity is a Lorentz-invariant for massless but
not for massive particles. Nevertheless, a satisfactory proof of this fact and
a detailed analysis on the relative orientation between spin and the momentum
are not readily available. One such analysis was presented by Wigner where a
formula for the angle between the spin and the momentum is derived for massive
particle states undergoing two successive boosts in orthogonal directions. In
this note, using the Wigner rotation, an alternative derivation is provided.
| [
{
"created": "Tue, 19 Jul 2016 02:01:17 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2016 03:10:57 GMT",
"version": "v2"
}
] | 2016-09-08 | [
[
"Lee",
"Cheng-Yang",
""
]
] | It is a well-known fact that helicity is a Lorentz-invariant for massless but not for massive particles. Nevertheless, a satisfactory proof of this fact and a detailed analysis on the relative orientation between spin and the momentum are not readily available. One such analysis was presented by Wigner where a formula for the angle between the spin and the momentum is derived for massive particle states undergoing two successive boosts in orthogonal directions. In this note, using the Wigner rotation, an alternative derivation is provided. |
0905.0634 | Erich Poppitz | Erich Poppitz and Mithat Unsal | Chiral gauge dynamics and dynamical supersymmetry breaking | 30 pages, 5 figures | JHEP 0907:060,2009 | 10.1088/1126-6708/2009/07/060 | SLAC-PUB-13604 | hep-th cond-mat.supr-con hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in
the I=3/2 representation and of its supersymmetric generalization. In the
former, we find a new and exotic mechanism of confinement, induced by
topological excitations that we refer to as magnetic quintets. The
supersymmetric version was examined earlier in the context of dynamical
supersymmetry breaking by Intriligator, Seiberg, and Shenker, who showed that
if this gauge theory confines at the origin of moduli space, one may break
supersymmetry by adding a tree level superpotential. We examine the dynamics by
deforming the theory on S^1 x R^3, and show that the infrared behavior of this
theory is an interacting CFT at small S^1. We argue that this continues to hold
at large S^1, and if so, that supersymmetry must remain unbroken. Our methods
also provide the microscopic origin of various superpotentials in SQCD on S^1 x
R^3 - which were previously obtained by using symmetry and holomorphy - and
resolve a long standing interpretational puzzle concerning a flux operator
discovered by Affleck, Harvey, and Witten. It is generated by a topological
excitation, a "magnetic bion", whose stability is due to fermion pair exchange
between its constituents. We also briefly comment on composite monopole
operators as leading effects in two dimensional anti-ferromagnets.
| [
{
"created": "Tue, 5 May 2009 18:15:21 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"Poppitz",
"Erich",
""
],
[
"Unsal",
"Mithat",
""
]
] | We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in the I=3/2 representation and of its supersymmetric generalization. In the former, we find a new and exotic mechanism of confinement, induced by topological excitations that we refer to as magnetic quintets. The supersymmetric version was examined earlier in the context of dynamical supersymmetry breaking by Intriligator, Seiberg, and Shenker, who showed that if this gauge theory confines at the origin of moduli space, one may break supersymmetry by adding a tree level superpotential. We examine the dynamics by deforming the theory on S^1 x R^3, and show that the infrared behavior of this theory is an interacting CFT at small S^1. We argue that this continues to hold at large S^1, and if so, that supersymmetry must remain unbroken. Our methods also provide the microscopic origin of various superpotentials in SQCD on S^1 x R^3 - which were previously obtained by using symmetry and holomorphy - and resolve a long standing interpretational puzzle concerning a flux operator discovered by Affleck, Harvey, and Witten. It is generated by a topological excitation, a "magnetic bion", whose stability is due to fermion pair exchange between its constituents. We also briefly comment on composite monopole operators as leading effects in two dimensional anti-ferromagnets. |
hep-th/0504062 | Kluson Josef | J. Kluson | Remark about Non-BPS Dp-Brane at the Tachyon Vacuum Moving in Curved
Background | 20 pages | Phys.Rev. D72 (2005) 106005 | 10.1103/PhysRevD.72.106005 | null | hep-th | null | This paper is devoted to the study of the dynamics of a non-BPS Dp-brane at
the tachyon vacuum that moves in the curved background.
| [
{
"created": "Thu, 7 Apr 2005 09:03:17 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kluson",
"J.",
""
]
] | This paper is devoted to the study of the dynamics of a non-BPS Dp-brane at the tachyon vacuum that moves in the curved background. |
hep-th/9907028 | Zhukovsky Vladimir | B.A. Lysov, O.F. Dorofeyev | On the unique solutions manifold of the Laughlin problem | 6 pages, 3 figures, LATEX. Accepted for publication in Vest. Mosk.
Univ., Fiz. Astron | null | null | null | hep-th | null | Solutions, exactly expressed in terms of elementary functions (unique
Laughlin states), of the correlated motion problem for a pair of 2D-electrons
in a constant and uniform magnetic field have been shown to exist for a certain
relation between the magnetic field induction and the electron charge.
Arguments that can help to understand the physical meaning of these remarkable
magnetic field values have been provided. The special interest to this problem
is justified by the importance of the new state of matter recently observed.
| [
{
"created": "Tue, 6 Jul 1999 09:46:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lysov",
"B. A.",
""
],
[
"Dorofeyev",
"O. F.",
""
]
] | Solutions, exactly expressed in terms of elementary functions (unique Laughlin states), of the correlated motion problem for a pair of 2D-electrons in a constant and uniform magnetic field have been shown to exist for a certain relation between the magnetic field induction and the electron charge. Arguments that can help to understand the physical meaning of these remarkable magnetic field values have been provided. The special interest to this problem is justified by the importance of the new state of matter recently observed. |
0802.0479 | Anders K.H. Bengtsson | Anders K.H. Bengtsson | Towards Unifying Structures in Higher Spin Gauge Symmetry | This is a contribution to the Proc. of the Seventh International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007,
Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA/ | SIGMA 4:013,2008 | 10.3842/SIGMA.2008.013 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | This article is expository in nature, outlining some of the many still
incompletely understood features of higher spin field theory. We are mainly
considering higher spin gauge fields in their own right as free-standing
theoretical constructs and not circumstances where they occur as part of
another system. Considering the problem of introducing interactions among
higher spin gauge fields, there has historically been two broad avenues of
approach. One approach entails gauging a non-Abelian global symmetry algebra,
in the process making it local. The other approach entails deforming an already
local but Abelian gauge algebra, in the process making it non-Abelian. In cases
where both avenues have been explored, such as for spin 1 and 2 gauge fields,
the results agree (barring conceptual and technical issues) with Yang-Mills
theory and Einstein gravity. In the case of an infinite tower of higher spin
gauge fields, the first approach has been thoroughly developed and explored by
M. Vasiliev, whereas the second approach, after having lain dormant for a long
time, has received new attention by several authors lately. In the present
paper we briefly review some aspects of the history of higher spin gauge fields
as a backdrop to an attempt at comparing the gauging vs. deforming approaches.
A common unifying structure of strongly homotopy Lie algebras underlying both
approaches will be discussed. The modern deformation approach, using BRST-BV
methods, will be described as far as it is developed at the present time. The
first steps of a formulation in the categorical language of operads will be
outlined. A few aspects of the subject that seems not to have been thoroughly
investigated are pointed out.
| [
{
"created": "Mon, 4 Feb 2008 19:16:30 GMT",
"version": "v1"
}
] | 2008-12-19 | [
[
"Bengtsson",
"Anders K. H.",
""
]
] | This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical constructs and not circumstances where they occur as part of another system. Considering the problem of introducing interactions among higher spin gauge fields, there has historically been two broad avenues of approach. One approach entails gauging a non-Abelian global symmetry algebra, in the process making it local. The other approach entails deforming an already local but Abelian gauge algebra, in the process making it non-Abelian. In cases where both avenues have been explored, such as for spin 1 and 2 gauge fields, the results agree (barring conceptual and technical issues) with Yang-Mills theory and Einstein gravity. In the case of an infinite tower of higher spin gauge fields, the first approach has been thoroughly developed and explored by M. Vasiliev, whereas the second approach, after having lain dormant for a long time, has received new attention by several authors lately. In the present paper we briefly review some aspects of the history of higher spin gauge fields as a backdrop to an attempt at comparing the gauging vs. deforming approaches. A common unifying structure of strongly homotopy Lie algebras underlying both approaches will be discussed. The modern deformation approach, using BRST-BV methods, will be described as far as it is developed at the present time. The first steps of a formulation in the categorical language of operads will be outlined. A few aspects of the subject that seems not to have been thoroughly investigated are pointed out. |
hep-th/0001133 | Burt Ovrut | Burt A. Ovrut, Tony Pantev, Jaemo Park | Small Instanton Transitions in Heterotic M-Theory | 42 pages, Latex | JHEP 0005 (2000) 045 | 10.1088/1126-6708/2000/05/045 | UPR-871T, OUTP-99-03P, IASSNS-HEP-00-03 | hep-th | null | We discuss non-perturbative phase transitions, within the context of
heterotic M-theory, which occur when all, or part, of the wrapped five-branes
in the five-dimensional bulk space come into direct contact with a boundary
brane. These transitions involve the transformation of the five-brane into a
``small instanton'' on the Calabi-Yau space at the boundary brane, followed by
the ``smoothing out'' of the small instanton into a holomorphic vector bundle.
Small instanton phase transitions change the number of families, the gauge
group or both on the boundary brane, depending upon whether a base component,
fiber component or both components of the five-brane class are involved in the
transition. We compute the conditions under which a small instanton phase
transition can occur and present a number of explicit, phenomenologically
relevant examples.
| [
{
"created": "Fri, 21 Jan 2000 22:24:05 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ovrut",
"Burt A.",
""
],
[
"Pantev",
"Tony",
""
],
[
"Park",
"Jaemo",
""
]
] | We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the five-dimensional bulk space come into direct contact with a boundary brane. These transitions involve the transformation of the five-brane into a ``small instanton'' on the Calabi-Yau space at the boundary brane, followed by the ``smoothing out'' of the small instanton into a holomorphic vector bundle. Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples. |
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