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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2408.00945
|
Azadeh Mohammadi
|
Carlos E. S. Santos, Jo\~ao G. F. Campos and Azadeh Mohammadi
|
On the localized and delocalized modes in kink-antikink interactions: a
toy model
| null | null | null | null |
hep-th nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
This study deals with a piecewise $\phi^2$ scalar field theory in $(1+1)$
dimensions. The scalar field potential is designed with a triple-well shape,
engendering kink solutions with asymmetric square-well linearized potentials.
Thus, the localized and delocalized modes in this model can be obtained
analytically in terms of transcendental equations. This allows us to explore
kink-antikink and antikink-kink collisions with any desired number of localized
and delocalized modes. We obtain new scenarios of resonance windows
suppression, shedding light on the role of higher excited modes in kink
scattering.
|
[
{
"created": "Thu, 1 Aug 2024 22:51:24 GMT",
"version": "v1"
}
] |
2024-08-05
|
[
[
"Santos",
"Carlos E. S.",
""
],
[
"Campos",
"João G. F.",
""
],
[
"Mohammadi",
"Azadeh",
""
]
] |
This study deals with a piecewise $\phi^2$ scalar field theory in $(1+1)$ dimensions. The scalar field potential is designed with a triple-well shape, engendering kink solutions with asymmetric square-well linearized potentials. Thus, the localized and delocalized modes in this model can be obtained analytically in terms of transcendental equations. This allows us to explore kink-antikink and antikink-kink collisions with any desired number of localized and delocalized modes. We obtain new scenarios of resonance windows suppression, shedding light on the role of higher excited modes in kink scattering.
|
1001.1407
|
Alexander Popolitov
|
A. Popolitov
|
On relation between Nekrasov functions and BS periods in pure SU(N) case
|
12 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the duality between the Nekrasov function and the quantized
Seiberg-Witten prepotential, first guessed in [1] and further elaborated in [2]
and [3]. We concentrate on providing more thorough checks than the ones
presented in [3] and do not discuss the motivation and historical context of
this duality. The check of the conjecture up to $o (\hbar^6, \ln (\Lambda))$ is
done by hands for arbitrary $N$ (explicit formulas are presented). Moreover,
details of the calculation that are essential for the computerization of the
check are worked out. This allows us to test the conjecture up to $\hbar^6$ and
up to higher powers of $\Lambda$ for $N = 2,3,4$. Only the case of pure SU(N)
gauge theory is considered.
|
[
{
"created": "Mon, 11 Jan 2010 20:58:15 GMT",
"version": "v1"
}
] |
2010-01-12
|
[
[
"Popolitov",
"A.",
""
]
] |
We investigate the duality between the Nekrasov function and the quantized Seiberg-Witten prepotential, first guessed in [1] and further elaborated in [2] and [3]. We concentrate on providing more thorough checks than the ones presented in [3] and do not discuss the motivation and historical context of this duality. The check of the conjecture up to $o (\hbar^6, \ln (\Lambda))$ is done by hands for arbitrary $N$ (explicit formulas are presented). Moreover, details of the calculation that are essential for the computerization of the check are worked out. This allows us to test the conjecture up to $\hbar^6$ and up to higher powers of $\Lambda$ for $N = 2,3,4$. Only the case of pure SU(N) gauge theory is considered.
|
2112.09028
|
William J. Torres Bobadilla Dr.
|
Paolo Benincasa, William J. Torres Bobadilla
|
Physical Representations for Scattering Amplitudes and the Wavefunction
of the Universe
|
18 pages, 10 figures. v2: corrected a few typos
| null | null |
MPP-2021-186
|
hep-th gr-qc hep-ph math-ph math.CO math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The way we organise perturbation theory is of fundamental importance both for
computing the observables of relevance and for extracting fundamental physics
out of them. If on one hand the different ways in which the perturbative
observables can be written make manifest different features (e.g. symmetries as
well as principles such as unitarity, causality and locality), on the other
hand precisely demanding that some concrete features are manifest lead to
different ways of organising perturbation theory. In the context of flat-space
scattering amplitudes, a number of them are already known and exploited, while
much less is known for cosmological observables. In the present work, we show
how to systematically write down both the wavefunction of the universe and the
flat-space scattering amplitudes, in such a way that they manifestly show
physical poles only. We make use of the invariant definition of such
observables in terms of {\it cosmological polytopes} and their {\it scattering
facet}. In particular, we show that such representations correspond to
triangulations of such objects through hyperplanes identified by the
intersection of their facets outside of them. All possible triangulations of
this type generate the different representations. This allows us to provide a
general proof for the conjectured all-loop causal representation of scattering
amplitudes. Importantly, all such representations can be viewed as making
explicit a subset of compatible singularities, and our construction provides a
way to extend Steinmann relations to higher codimension singularities for both
the flat-space scattering amplitudes and the cosmological wavefunction.
|
[
{
"created": "Thu, 16 Dec 2021 17:15:17 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2022 16:00:01 GMT",
"version": "v2"
}
] |
2022-03-16
|
[
[
"Benincasa",
"Paolo",
""
],
[
"Bobadilla",
"William J. Torres",
""
]
] |
The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them. If on one hand the different ways in which the perturbative observables can be written make manifest different features (e.g. symmetries as well as principles such as unitarity, causality and locality), on the other hand precisely demanding that some concrete features are manifest lead to different ways of organising perturbation theory. In the context of flat-space scattering amplitudes, a number of them are already known and exploited, while much less is known for cosmological observables. In the present work, we show how to systematically write down both the wavefunction of the universe and the flat-space scattering amplitudes, in such a way that they manifestly show physical poles only. We make use of the invariant definition of such observables in terms of {\it cosmological polytopes} and their {\it scattering facet}. In particular, we show that such representations correspond to triangulations of such objects through hyperplanes identified by the intersection of their facets outside of them. All possible triangulations of this type generate the different representations. This allows us to provide a general proof for the conjectured all-loop causal representation of scattering amplitudes. Importantly, all such representations can be viewed as making explicit a subset of compatible singularities, and our construction provides a way to extend Steinmann relations to higher codimension singularities for both the flat-space scattering amplitudes and the cosmological wavefunction.
|
0907.4389
|
Pedro Pina Avelino
|
P.P. Avelino, J.C.R.E. Oliveira, R. Menezes, J. Menezes
|
The role of domain wall junctions in Carter's pentahedral model
|
6 pages, 6 figures
|
Phys.Lett.B681:282-286,2009
|
10.1016/j.physletb.2009.10.009
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The role of domain wall junctions in Carter's pentahedral model is
investigated both analytically and numerically. We perform, for the first time,
field theory simulations of such model with various initial conditions. We
confirm that there are very specific realizations of Carter's model
corresponding to square lattice configurations with X-type junctions which
could be stable. However, we show that more realistic realizations, consistent
with causality constraints, do lead to a scaling domain wall network with
Y-type junctions. We determine the network properties and discuss the
corresponding cosmological implications, in particular for dark energy.
|
[
{
"created": "Fri, 24 Jul 2009 22:19:04 GMT",
"version": "v1"
}
] |
2009-11-05
|
[
[
"Avelino",
"P. P.",
""
],
[
"Oliveira",
"J. C. R. E.",
""
],
[
"Menezes",
"R.",
""
],
[
"Menezes",
"J.",
""
]
] |
The role of domain wall junctions in Carter's pentahedral model is investigated both analytically and numerically. We perform, for the first time, field theory simulations of such model with various initial conditions. We confirm that there are very specific realizations of Carter's model corresponding to square lattice configurations with X-type junctions which could be stable. However, we show that more realistic realizations, consistent with causality constraints, do lead to a scaling domain wall network with Y-type junctions. We determine the network properties and discuss the corresponding cosmological implications, in particular for dark energy.
|
hep-th/0106256
|
Alex Pomarol
|
Daniel Marti and Alex Pomarol
|
Supersymmetric theories with compact extra dimensions in N=1 superfields
|
16 pages, Latex
|
Phys.Rev. D64 (2001) 105025
|
10.1103/PhysRevD.64.105025
| null |
hep-th hep-ph
| null |
We present an N=1 superfield formulation of supersymmetric gauge theories
with a compact extra dimension. The formulation incorporates the radion
superfield and allows to write supersymmetric theories on warped gravitational
backgrounds. We apply it to study the breaking of supersymmetry by the F-term
of the radion, and show that, for flat extra dimensions, this leads to the same
mass spectrum as in Scherk-Schwarz models of supersymmetry breaking. We also
consider scenarios where supersymmetry is broken on a boundary of a warped
extra dimension and compare them with anomaly mediated models.
|
[
{
"created": "Wed, 27 Jun 2001 16:09:03 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Marti",
"Daniel",
""
],
[
"Pomarol",
"Alex",
""
]
] |
We present an N=1 superfield formulation of supersymmetric gauge theories with a compact extra dimension. The formulation incorporates the radion superfield and allows to write supersymmetric theories on warped gravitational backgrounds. We apply it to study the breaking of supersymmetry by the F-term of the radion, and show that, for flat extra dimensions, this leads to the same mass spectrum as in Scherk-Schwarz models of supersymmetry breaking. We also consider scenarios where supersymmetry is broken on a boundary of a warped extra dimension and compare them with anomaly mediated models.
|
2210.09091
|
Shai Chester
|
Shai M. Chester and Ning Su
|
Upper critical dimension of the 3-state Potts model
|
5 pages plus appendices, 5 figures, v3 minor typos corrected
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the 3-state Potts model in $d\geq2$ dimensions. For $d$ less than
the upper critical dimension $d_\text{crit}$, the model has a critical and a
tricritical fixed point. In $d=2$, these fixed points are described by minimal
models, and so are exactly solvable. For $d>2$, however, strong coupling makes
them difficult to study and there is no consensus on the value of
$d_\text{crit}$. We use the numerical conformal bootstrap to compute critical
exponents of both the critical and tricritical fixed points for general $d$. In
$d=2$ our results match the expected values, and as we increase $d$ we find
that the critical exponents of each fixed point get closer until they merge
near $d_\text{crit}\lesssim 2.5$.
|
[
{
"created": "Mon, 17 Oct 2022 13:35:35 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Oct 2022 15:02:05 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2022 01:17:05 GMT",
"version": "v3"
}
] |
2022-12-08
|
[
[
"Chester",
"Shai M.",
""
],
[
"Su",
"Ning",
""
]
] |
We consider the 3-state Potts model in $d\geq2$ dimensions. For $d$ less than the upper critical dimension $d_\text{crit}$, the model has a critical and a tricritical fixed point. In $d=2$, these fixed points are described by minimal models, and so are exactly solvable. For $d>2$, however, strong coupling makes them difficult to study and there is no consensus on the value of $d_\text{crit}$. We use the numerical conformal bootstrap to compute critical exponents of both the critical and tricritical fixed points for general $d$. In $d=2$ our results match the expected values, and as we increase $d$ we find that the critical exponents of each fixed point get closer until they merge near $d_\text{crit}\lesssim 2.5$.
|
1709.01448
|
Ben Hoare
|
Ben Hoare, Fiona K. Seibold
|
Poisson-Lie duals of the eta deformed symmetric space sigma model
|
37 pages, v2: minor changes
| null |
10.1007/JHEP11(2017)014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Poisson-Lie dualising the eta deformation of the G/H symmetric space sigma
model with respect to the simple Lie group G is conjectured to give an analytic
continuation of the associated lambda deformed model. In this paper we
investigate when the eta deformed model can be dualised with respect to a
subgroup G_0 of G. Starting from the first-order action on the complexified
group and integrating out the degrees of freedom associated to different
subalgebras, we find it is possible to dualise when G_0 is associated to a
sub-Dynkin diagram. Additional U_1 factors built from the remaining Cartan
generators can also be included. The resulting construction unifies both the
Poisson-Lie dual with respect to G and the complete abelian dual of the eta
deformation in a single framework, with the integrated algebras unimodular in
both cases. We speculate that extending these results to the path integral
formalism may provide an explanation for why the eta deformed AdS_5 x S^5
superstring is not one-loop Weyl invariant, that is the couplings do not solve
the equations of type IIB supergravity, yet its complete abelian dual and the
lambda deformed model are.
|
[
{
"created": "Tue, 5 Sep 2017 15:22:04 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2017 10:28:03 GMT",
"version": "v2"
}
] |
2017-12-06
|
[
[
"Hoare",
"Ben",
""
],
[
"Seibold",
"Fiona K.",
""
]
] |
Poisson-Lie dualising the eta deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated lambda deformed model. In this paper we investigate when the eta deformed model can be dualised with respect to a subgroup G_0 of G. Starting from the first-order action on the complexified group and integrating out the degrees of freedom associated to different subalgebras, we find it is possible to dualise when G_0 is associated to a sub-Dynkin diagram. Additional U_1 factors built from the remaining Cartan generators can also be included. The resulting construction unifies both the Poisson-Lie dual with respect to G and the complete abelian dual of the eta deformation in a single framework, with the integrated algebras unimodular in both cases. We speculate that extending these results to the path integral formalism may provide an explanation for why the eta deformed AdS_5 x S^5 superstring is not one-loop Weyl invariant, that is the couplings do not solve the equations of type IIB supergravity, yet its complete abelian dual and the lambda deformed model are.
|
1712.01868
|
Ben Heidenreich
|
Ben Heidenreich, Matthew Reece, Tom Rudelius
|
The Weak Gravity Conjecture and Emergence from an Ultraviolet Cutoff
|
50 pages, 5 figures. v2: references added, clarified remarks about
Higgsing
| null |
10.1140/epjc/s10052-018-5811-3
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study ultraviolet cutoffs associated with the Weak Gravity Conjecture
(WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC
cutoff at the energy scale $e G_N^{-1/2}$ with an associated sLWGC tower of
charged particles. A more fundamental cutoff is the scale at which gravity
becomes strong and field theory breaks down entirely. By clarifying the nature
of the sLWGC for nonabelian gauge groups we derive a parametric upper bound on
this strong gravity scale for arbitrary gauge theories. Intriguingly, we show
that in theories approximately saturating the sLWGC, the scales at which loop
corrections from the tower of charged particles to the gauge boson and graviton
propagators become important are parametrically identical. This suggests a
picture in which gauge fields emerge from the quantum gravity scale by
integrating out a tower of charged matter fields. We derive a converse
statement: if a gauge theory becomes strongly coupled at or below the quantum
gravity scale, the WGC follows. We sketch some phenomenological consequences of
the UV cutoffs we derive.
|
[
{
"created": "Tue, 5 Dec 2017 19:03:16 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Apr 2018 17:00:02 GMT",
"version": "v2"
}
] |
2018-05-23
|
[
[
"Heidenreich",
"Ben",
""
],
[
"Reece",
"Matthew",
""
],
[
"Rudelius",
"Tom",
""
]
] |
We study ultraviolet cutoffs associated with the Weak Gravity Conjecture (WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC cutoff at the energy scale $e G_N^{-1/2}$ with an associated sLWGC tower of charged particles. A more fundamental cutoff is the scale at which gravity becomes strong and field theory breaks down entirely. By clarifying the nature of the sLWGC for nonabelian gauge groups we derive a parametric upper bound on this strong gravity scale for arbitrary gauge theories. Intriguingly, we show that in theories approximately saturating the sLWGC, the scales at which loop corrections from the tower of charged particles to the gauge boson and graviton propagators become important are parametrically identical. This suggests a picture in which gauge fields emerge from the quantum gravity scale by integrating out a tower of charged matter fields. We derive a converse statement: if a gauge theory becomes strongly coupled at or below the quantum gravity scale, the WGC follows. We sketch some phenomenological consequences of the UV cutoffs we derive.
|
hep-th/9611012
|
Frank Ferrari
|
Frank Ferrari
|
Duality and BPS spectra in N=2 supersymmetric QCD
|
8 pages, to appear in the proceedings of the ICTP '96 spring workshop
on string theory, gauge theory and quantum gravity (Nucl. Phys. B proc.
sup.); two references added
|
Nucl.Phys.Proc.Suppl. 55B (1997) 245-252
|
10.1016/S0920-5632(97)00085-6
|
LPTENS-96/52
|
hep-th
| null |
I review, with some pedagogy, two different approaches to the computation of
BPS spectra in N=2 supersymmetric QCD with gauge group SU(2). The first one is
semiclassical and has been widely used in the literature. The second one makes
use of constraints coming from the non perturbative, global structure of the
Coulomb branch of these theories. The second method allows for a description of
discontinuities in the BPS spectra at strong coupling, and should lead to
accurate test of duality conjectures in N=2 theories.
|
[
{
"created": "Mon, 4 Nov 1996 09:53:12 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 1996 14:58:33 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ferrari",
"Frank",
""
]
] |
I review, with some pedagogy, two different approaches to the computation of BPS spectra in N=2 supersymmetric QCD with gauge group SU(2). The first one is semiclassical and has been widely used in the literature. The second one makes use of constraints coming from the non perturbative, global structure of the Coulomb branch of these theories. The second method allows for a description of discontinuities in the BPS spectra at strong coupling, and should lead to accurate test of duality conjectures in N=2 theories.
|
0907.2211
|
Stephan Stieberger
|
S. Stieberger
|
Open & Closed vs. Pure Open String Disk Amplitudes
|
111 pages, harvmac; v2: (i) case (N_o,N_c)=(0,3) [= disk scattering
of three closed strings] worked out in full detail; (ii) typos removed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a relation between disk amplitudes involving N_o open and N_c
closed strings and disk amplitudes with only N_o+2N_c open strings. This map,
which represents a sort of generalized KLT relation on the disk, reveals
important structures between open & closed and pure open string disk
amplitudes: it relates couplings of brane and bulk string states to pure brane
couplings.
On the string world-sheet this becomes a non-trivial monodromy problem, which
reduces the disk amplitude of N_o open and N_c closed strings to a sum of many
color ordered partial subamplitudes of N_o+2N_c open strings. This sum can be
further reduced to a sum over (N_o+2N_c-3)! subamplitudes of N=N_o+2N_c open
strings only. Hence, the computation of disk amplitudes involving open and
closed strings is reduced to computing these subamplitudes in the open string
sector.
In this sector we find a string theory generalization and proof of the
Kleiss-Kuijf and Bern-Carrasco-Johanson relations: All order alpha' identities
between open string subamplitudes are derived, which reproduce these
field-theory relations in the limit alpha'->0. These identities allow to reduce
the number of independent subamplitudes of an open string N-point amplitude to
(N-3)!. This number is identical to the dimension of a minimal basis of
generalized Gaussian hypergeometric functions describing the full N-point open
string amplitude.
|
[
{
"created": "Mon, 13 Jul 2009 18:27:32 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2010 16:02:17 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Stieberger",
"S.",
""
]
] |
We establish a relation between disk amplitudes involving N_o open and N_c closed strings and disk amplitudes with only N_o+2N_c open strings. This map, which represents a sort of generalized KLT relation on the disk, reveals important structures between open & closed and pure open string disk amplitudes: it relates couplings of brane and bulk string states to pure brane couplings. On the string world-sheet this becomes a non-trivial monodromy problem, which reduces the disk amplitude of N_o open and N_c closed strings to a sum of many color ordered partial subamplitudes of N_o+2N_c open strings. This sum can be further reduced to a sum over (N_o+2N_c-3)! subamplitudes of N=N_o+2N_c open strings only. Hence, the computation of disk amplitudes involving open and closed strings is reduced to computing these subamplitudes in the open string sector. In this sector we find a string theory generalization and proof of the Kleiss-Kuijf and Bern-Carrasco-Johanson relations: All order alpha' identities between open string subamplitudes are derived, which reproduce these field-theory relations in the limit alpha'->0. These identities allow to reduce the number of independent subamplitudes of an open string N-point amplitude to (N-3)!. This number is identical to the dimension of a minimal basis of generalized Gaussian hypergeometric functions describing the full N-point open string amplitude.
|
2203.09398
|
Jorge Russo
|
J. G. Russo and P. K. Townsend
|
A dilaton-axion model for string cosmology
|
35 pages, 5 figures
| null |
10.1007/JHEP06(2022)001
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generic scale-invariant theory of an axion and a dilaton coupled to
gravity in $d$-dimensions is generalized to a `universal' one-axion model with
two dilatons that reproduces itself under consistent
dimensional-reduction/truncation. Flat FLRW cosmologies are shown to correspond
to trajectories of a three-dimensional autonomous dynamical system, which we
analyse with a focus on accelerated cosmic expansion, deriving the precise
swampland bounds that exclude eternal acceleration. We also show that for two
sets of values of its three independent parameters, the model is a consistent
truncation of maximal `massive' supergravity theories arising from
string/M-theory; for these maximal-supergravity parameter values the FLRW
cosmologies include some with a transient de Sitter-like phase, but not the
recurring de Sitter-like phase or eternal cosmic acceleration that is possible
for other parameter values.
|
[
{
"created": "Thu, 17 Mar 2022 15:48:32 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2022 11:06:09 GMT",
"version": "v2"
}
] |
2022-06-09
|
[
[
"Russo",
"J. G.",
""
],
[
"Townsend",
"P. K.",
""
]
] |
The generic scale-invariant theory of an axion and a dilaton coupled to gravity in $d$-dimensions is generalized to a `universal' one-axion model with two dilatons that reproduces itself under consistent dimensional-reduction/truncation. Flat FLRW cosmologies are shown to correspond to trajectories of a three-dimensional autonomous dynamical system, which we analyse with a focus on accelerated cosmic expansion, deriving the precise swampland bounds that exclude eternal acceleration. We also show that for two sets of values of its three independent parameters, the model is a consistent truncation of maximal `massive' supergravity theories arising from string/M-theory; for these maximal-supergravity parameter values the FLRW cosmologies include some with a transient de Sitter-like phase, but not the recurring de Sitter-like phase or eternal cosmic acceleration that is possible for other parameter values.
|
hep-th/0604143
|
Axel Kleinschmidt
|
Thibault Damour, Amihay Hanany, Marc Henneaux, Axel Kleinschmidt,
Hermann Nicolai
|
Curvature corrections and Kac-Moody compatibility conditions
|
27 pages
|
Gen.Rel.Grav.38:1507-1528,2006
|
10.1007/s10714-006-0317-y
|
AEI-2006-023, IHES/P/06/21, MIT-CTP-3735, ULB-TH/06-07
|
hep-th
| null |
We study possible restrictions on the structure of curvature corrections to
gravitational theories in the context of their corresponding Kac--Moody
algebras, following the initial work on E10 in Class. Quant. Grav. 22 (2005)
2849. We first emphasize that the leading quantum corrections of M-theory can
be naturally interpreted in terms of (non-gravity) fundamental weights of E10.
We then heuristically explore the extent to which this remark can be
generalized to all over-extended algebras by determining which curvature
corrections are compatible with their weight structure, and by comparing these
curvature terms with known results on the quantum corrections for the
corresponding gravitational theories.
|
[
{
"created": "Thu, 20 Apr 2006 11:54:01 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Damour",
"Thibault",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Nicolai",
"Hermann",
""
]
] |
We study possible restrictions on the structure of curvature corrections to gravitational theories in the context of their corresponding Kac--Moody algebras, following the initial work on E10 in Class. Quant. Grav. 22 (2005) 2849. We first emphasize that the leading quantum corrections of M-theory can be naturally interpreted in terms of (non-gravity) fundamental weights of E10. We then heuristically explore the extent to which this remark can be generalized to all over-extended algebras by determining which curvature corrections are compatible with their weight structure, and by comparing these curvature terms with known results on the quantum corrections for the corresponding gravitational theories.
|
1704.05069
|
Jaroslav Trnka
|
Nima Arkani-Hamed, Hugh Thomas, Jaroslav Trnka
|
Unwinding the Amplituhedron in Binary
|
42 pages, 13 figures
| null |
10.1007/JHEP01(2018)016
| null |
hep-th math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present new, fundamentally combinatorial and topological characterizations
of the amplituhedron. Upon projecting external data through the amplituhedron,
the resulting configuration of points has a specified (and maximal) generalized
'winding number'. Equivalently, the amplituhedron can be fully described in
binary: canonical projections of the geometry down to one dimension have a
specified (and maximal) number of 'sign flips' of the projected data. The
locality and unitarity of scattering amplitudes are easily derived as
elementary consequences of this binary code. Minimal winding defines a natural
'dual' of the amplituhedron. This picture gives us an avatar of the
amplituhedron purely in the configuration space of points in vector space
(momentum-twistor space in the physics), a new interpretation of the canonical
amplituhedron form, and a direct bosonic understanding of the scattering
super-amplitude in planar N = 4 SYM as a differential form on the space of
physical kinematical data.
|
[
{
"created": "Mon, 17 Apr 2017 18:00:02 GMT",
"version": "v1"
}
] |
2018-02-14
|
[
[
"Arkani-Hamed",
"Nima",
""
],
[
"Thomas",
"Hugh",
""
],
[
"Trnka",
"Jaroslav",
""
]
] |
We present new, fundamentally combinatorial and topological characterizations of the amplituhedron. Upon projecting external data through the amplituhedron, the resulting configuration of points has a specified (and maximal) generalized 'winding number'. Equivalently, the amplituhedron can be fully described in binary: canonical projections of the geometry down to one dimension have a specified (and maximal) number of 'sign flips' of the projected data. The locality and unitarity of scattering amplitudes are easily derived as elementary consequences of this binary code. Minimal winding defines a natural 'dual' of the amplituhedron. This picture gives us an avatar of the amplituhedron purely in the configuration space of points in vector space (momentum-twistor space in the physics), a new interpretation of the canonical amplituhedron form, and a direct bosonic understanding of the scattering super-amplitude in planar N = 4 SYM as a differential form on the space of physical kinematical data.
|
0909.2865
|
Francesco Bigazzi
|
Francesco Bigazzi, Aldo L. Cotrone, Javier Mas, Angel Paredes, Alfonso
V. Ramallo, Javier Tarrio
|
D3-D7 Quark-Gluon Plasmas
|
35 pages; v2: comments on stability (sec. 2.4), extremal solution
with massive flavors (sec. 5.1), few clarifications and references added
|
JHEP 0911:117,2009
|
10.1088/1126-6708/2009/11/117
|
KUL-TF-09/17
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the string dual to finite temperature SU(Nc) N=4 SYM coupled to
massless fundamental matter introduced by Nf D7 branes, with Abelian flavor
symmetry. The analytic solution includes the backreaction of the flavors up to
second order in the parameter that weighs the internal flavor loops,
epsilon_h=(lambda_h Nf)/(8 pi^2 Nc), lambda_h being the 't Hooft coupling at
the temperature of the dual Quark-Gluon Plasma. We study the thermodynamics of
the system and its departure from conformality, which is a second order effect.
We then analyze the energy loss of partons moving through the plasma, finding
that the fundamental degrees of freedom enhance the jet quenching. The whole
setup is generalized to D3-D7 systems with D3-branes placed at the tip of a
generic singular Calabi-Yau cone over a five-dimensional Sasaki-Einstein
manifold. We finally provide the equations for the inclusion of massive flavors
in the N=4 SYM plasma.
|
[
{
"created": "Wed, 16 Sep 2009 16:03:09 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2009 15:25:30 GMT",
"version": "v2"
}
] |
2009-12-04
|
[
[
"Bigazzi",
"Francesco",
""
],
[
"Cotrone",
"Aldo L.",
""
],
[
"Mas",
"Javier",
""
],
[
"Paredes",
"Angel",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Tarrio",
"Javier",
""
]
] |
We present the string dual to finite temperature SU(Nc) N=4 SYM coupled to massless fundamental matter introduced by Nf D7 branes, with Abelian flavor symmetry. The analytic solution includes the backreaction of the flavors up to second order in the parameter that weighs the internal flavor loops, epsilon_h=(lambda_h Nf)/(8 pi^2 Nc), lambda_h being the 't Hooft coupling at the temperature of the dual Quark-Gluon Plasma. We study the thermodynamics of the system and its departure from conformality, which is a second order effect. We then analyze the energy loss of partons moving through the plasma, finding that the fundamental degrees of freedom enhance the jet quenching. The whole setup is generalized to D3-D7 systems with D3-branes placed at the tip of a generic singular Calabi-Yau cone over a five-dimensional Sasaki-Einstein manifold. We finally provide the equations for the inclusion of massive flavors in the N=4 SYM plasma.
|
hep-th/9707115
|
Herbert Liebl
|
W. Kummer, H. Liebl (Vienna, Tech. U.), D.V. Vassilevich (St.
Petersburg University)
|
Nonperturbative path integral of 2d dilaton gravity and two-loop effects
from scalar matter
|
15 pages
|
Nucl.Phys. B513 (1998) 723-734
|
10.1016/S0550-3213(97)00796-7
|
TUW-97-08
|
hep-th gr-qc
| null |
Performing an nonperturbative path integral for the geometric part of a large
class of 2d theories without kinetic term for the dilaton field, the quantum
effects from scalar matter fields are treated as a perturbation. When
integrated out to two-loops they yield a correction to the Polyakov term which
is still exact in the geometric part. Interestingly enough the effective action
only experiences a renormalization of the dilaton potential.
|
[
{
"created": "Fri, 11 Jul 1997 15:25:18 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kummer",
"W.",
"",
"Vienna, Tech. U."
],
[
"Liebl",
"H.",
"",
"Vienna, Tech. U."
],
[
"Vassilevich",
"D. V.",
"",
"St.\n Petersburg University"
]
] |
Performing an nonperturbative path integral for the geometric part of a large class of 2d theories without kinetic term for the dilaton field, the quantum effects from scalar matter fields are treated as a perturbation. When integrated out to two-loops they yield a correction to the Polyakov term which is still exact in the geometric part. Interestingly enough the effective action only experiences a renormalization of the dilaton potential.
|
hep-th/9706157
|
Daniele Amati
|
Daniele Amati (SISSA)
|
Black holes, string theory and quantum coherence
| null | null | null | null |
hep-th gr-qc
| null |
On the basis of recently discovered connections between D-branes and black
holes, I show how the information puzzle is solved by superstring theory as the
fundamental theory of quantum gravity. The picture that emerges is that a
well-defined quantum state does not give rise to a black hole even if the
apparent distribution of energy, momenta, charges, etc. would predict one on
classical grounds. Indeed, geometry - general relativistic space time
description - is unwarranted at the quantum microstate level. It is the
decoherence leading to macrostates (average over degenerate microstates) that
provides - on the same token - the loss of quantum coherence, the emergence of
a space time description with causal properties and, thus, the formation of a
black hole and its Hawking evaporation
|
[
{
"created": "Mon, 23 Jun 1997 13:26:29 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 1998 16:14:20 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Amati",
"Daniele",
"",
"SISSA"
]
] |
On the basis of recently discovered connections between D-branes and black holes, I show how the information puzzle is solved by superstring theory as the fundamental theory of quantum gravity. The picture that emerges is that a well-defined quantum state does not give rise to a black hole even if the apparent distribution of energy, momenta, charges, etc. would predict one on classical grounds. Indeed, geometry - general relativistic space time description - is unwarranted at the quantum microstate level. It is the decoherence leading to macrostates (average over degenerate microstates) that provides - on the same token - the loss of quantum coherence, the emergence of a space time description with causal properties and, thus, the formation of a black hole and its Hawking evaporation
|
hep-th/9704085
| null |
N.P.Chitaia, S.A.Gogilidze and Yu.S.Surovtsev
|
Second-Class Constraints and Local Symmetries
|
17 pages, LaTex; Communication of Joint Institute for Nuclear
Research E2-96-234, Dubna, 1996
| null | null | null |
hep-th
| null |
In the framework of the generalized Hamiltonian formalism by Dirac, the local
symmetries of dynamical systems with first- and second-class constraints are
investigated. For theories with an algebra of constraints of special form (to
which a majority of the physically interesting theories belongs) the method of
constructing the generator of local-symmetry transformations is obtained from
the requirement of the quasi-invariance of an action. It is proved that
second-class constraints do not contribute to the transformation law of the
local symmetry which entirely is stipulated by all the first-class constraints.
It is thereby shown that degeneracy of special form theories with the first-
and second-class constraints is due to their quasi-invariance under
local-symmetry transformations.
|
[
{
"created": "Thu, 10 Apr 1997 18:07:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Chitaia",
"N. P.",
""
],
[
"Gogilidze",
"S. A.",
""
],
[
"Surovtsev",
"Yu. S.",
""
]
] |
In the framework of the generalized Hamiltonian formalism by Dirac, the local symmetries of dynamical systems with first- and second-class constraints are investigated. For theories with an algebra of constraints of special form (to which a majority of the physically interesting theories belongs) the method of constructing the generator of local-symmetry transformations is obtained from the requirement of the quasi-invariance of an action. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry which entirely is stipulated by all the first-class constraints. It is thereby shown that degeneracy of special form theories with the first- and second-class constraints is due to their quasi-invariance under local-symmetry transformations.
|
hep-th/0410218
|
Masao Ninomiya
|
Holger B. Nielsen and Masao Ninomiya
|
Dirac Sea for Bosons II -- Study of the Naive Vacuum Theory for the
Playground World Prior to Filling the Negative Energy Sea --
|
20 pages, no figure, LaTeX; added refereces, corrected typos
|
Prog.Theor.Phys. 113 (2005) 625-643
|
10.1143/PTP.113.625
|
YITP-04-57, OIQP-04-4
|
hep-th
| null |
We use our previous idea, in which at first we perform a naive second
quantization of both negative and positive energy for the Klein-Gordon equation
analogous to the unfilled Dirac sea for fermions, to study as a playground this
naive second quantization theory. It is not to be taken seriously physically in
as far as it has indefinite Fock space, but it has nevertheless interesting
possibilities: Although the naive (quantization) theory represents a
spontaneous breakdown of the usual CPT-symmetry, we shall show that it obeys a
certain replacement for the CPT-theorem for which a proof is presented in
detail.
|
[
{
"created": "Thu, 21 Oct 2004 23:55:41 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 2004 05:42:23 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] |
We use our previous idea, in which at first we perform a naive second quantization of both negative and positive energy for the Klein-Gordon equation analogous to the unfilled Dirac sea for fermions, to study as a playground this naive second quantization theory. It is not to be taken seriously physically in as far as it has indefinite Fock space, but it has nevertheless interesting possibilities: Although the naive (quantization) theory represents a spontaneous breakdown of the usual CPT-symmetry, we shall show that it obeys a certain replacement for the CPT-theorem for which a proof is presented in detail.
|
0907.1410
|
Suresh Govindarajan
|
Suresh Govindarajan (IITM), K. Gopala Krishna (IMSc)
|
BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for
composite N
|
LaTeX, 44 pages, 2 figures (v2)Physical interpretation for a family
of BKM Lie superalgebras provided; typos corrected
|
JHEP 1005:014,2010
|
10.1007/JHEP05(2010)014
|
IITM/PH/TH/2009/3, IMsc-2009-04-06
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the generating function of electrically charged 1/2-BPS states
in N=4 supersymmetric Z_N-CHL orbifolds of the heterotic string on T^6 are
given by multiplicative eta-products. The eta-products are determined by the
cycle shape of the corresponding symplectic involution in the dual type II
picture. This enables us to complete the construction of the genus-two Siegel
modular forms due to David, Jatkar and Sen [arXiv:hep-th/0609109] for Z_N
orbifolds when N is non-prime. We study the Z_4 CHL orbifold in detail and show
that the associated Siegel modular forms, \Phi_3(Z) and \widetilde{\Phi}_3(Z),
are given by the square of the product of three even genus-two theta constants.
Extending work by us[arXiv:0807.4451] as well as Cheng and
Dabholkar[arXiv:0809.4258], we show that their `square roots' appear as the
denominator formulae of two distinct Borcherds-Kac-Moody (BKM) Lie
superalgebras. The BKM Lie superalgebra associated with the generating function
of 1/4-BPS states, i.e., \widetilde{\Phi}_3(Z) has a parabolic root system with
a light-like Weyl vector and the walls of its fundamental Weyl chamber are
mapped to the walls of marginal stability of the 1/4-BPS states.
|
[
{
"created": "Thu, 9 Jul 2009 16:15:16 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2009 13:04:45 GMT",
"version": "v2"
}
] |
2010-05-12
|
[
[
"Govindarajan",
"Suresh",
"",
"IITM"
],
[
"Krishna",
"K. Gopala",
"",
"IMSc"
]
] |
We show that the generating function of electrically charged 1/2-BPS states in N=4 supersymmetric Z_N-CHL orbifolds of the heterotic string on T^6 are given by multiplicative eta-products. The eta-products are determined by the cycle shape of the corresponding symplectic involution in the dual type II picture. This enables us to complete the construction of the genus-two Siegel modular forms due to David, Jatkar and Sen [arXiv:hep-th/0609109] for Z_N orbifolds when N is non-prime. We study the Z_4 CHL orbifold in detail and show that the associated Siegel modular forms, \Phi_3(Z) and \widetilde{\Phi}_3(Z), are given by the square of the product of three even genus-two theta constants. Extending work by us[arXiv:0807.4451] as well as Cheng and Dabholkar[arXiv:0809.4258], we show that their `square roots' appear as the denominator formulae of two distinct Borcherds-Kac-Moody (BKM) Lie superalgebras. The BKM Lie superalgebra associated with the generating function of 1/4-BPS states, i.e., \widetilde{\Phi}_3(Z) has a parabolic root system with a light-like Weyl vector and the walls of its fundamental Weyl chamber are mapped to the walls of marginal stability of the 1/4-BPS states.
|
2306.17818
|
Marco Frasca
|
Marco Frasca, Anish Ghoshal
|
Yukawa theory in non-perturbative regimes: towards confinement, exact
$\beta$-function and conformal phase
|
19 pages, 2 figures. Changed the renormalization group analysis for
the scalar sector using ERG
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study possible hints towards confinement in a Z$_2$-invariant Yukawa
system with massless fermions and a real scalar field in the strongly-coupled
regime. Using the tools developed for studying non-perturbative physics via
Jacobi elliptical functions, for a given but not unique choice of the vacuum
state, we find the exact Green's function for the scalar sector so that, after
integrating out the scalar degrees of freedom, we are able to recover the
low-energy limit of the theory that is a fully non-local Nambu-Jona-Lasinio
(NJL) model. We provide an analytical result for the Renormalization Group (RG)
running of the self-interaction coupling in the scalar sector and critical
indexes in the strongly-coupled regime. In the fermion sector, we provide some
clues towards confinement, after deriving the gap equation with the non-local
NJL model, a property which is well-known to not emerge in the local limit of
this model. We conclude that, for the scalar-Yukawa theory in the
non-perturbative domain with our choice of the vacuum state, the fundamental
fermions of the theory form bound states and cannot be observed as asymptotic
states.
|
[
{
"created": "Fri, 30 Jun 2023 17:34:21 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Dec 2023 15:09:22 GMT",
"version": "v2"
}
] |
2024-01-01
|
[
[
"Frasca",
"Marco",
""
],
[
"Ghoshal",
"Anish",
""
]
] |
We study possible hints towards confinement in a Z$_2$-invariant Yukawa system with massless fermions and a real scalar field in the strongly-coupled regime. Using the tools developed for studying non-perturbative physics via Jacobi elliptical functions, for a given but not unique choice of the vacuum state, we find the exact Green's function for the scalar sector so that, after integrating out the scalar degrees of freedom, we are able to recover the low-energy limit of the theory that is a fully non-local Nambu-Jona-Lasinio (NJL) model. We provide an analytical result for the Renormalization Group (RG) running of the self-interaction coupling in the scalar sector and critical indexes in the strongly-coupled regime. In the fermion sector, we provide some clues towards confinement, after deriving the gap equation with the non-local NJL model, a property which is well-known to not emerge in the local limit of this model. We conclude that, for the scalar-Yukawa theory in the non-perturbative domain with our choice of the vacuum state, the fundamental fermions of the theory form bound states and cannot be observed as asymptotic states.
|
2203.02365
|
Aldo Vera
|
Fabrizio Canfora, Andr\'es Gomberoff, Marcela Lagos, Aldo Vera
|
Analytic meronic black holes, gravitating solitons and higher spins in
the Einstein $SU(N)$-Yang-Mills theory
|
Clarifying comments included, relevant references added. 22 pages,
accepted for publication in Physical Review D
| null |
10.1103/PhysRevD.105.084045
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We construct meronic black holes and solitons in the Einstein
$SU(N)$-Yang-Mills theory in $D=4$ and $D=5$ dimensions. These analytical
solutions are found by combining the generalized hedgehog ansatz with the Euler
parameterization of the $SU(N)$ group from which the Yang-Mills equations are
automatically satisfied for all values of $N$ while the Einstein equations can
be solved analytically. We explicitly show the role that the color number $N$
plays in the black hole thermodynamics as well as in the gravitational spin
from isospin effect. Two remarkable results of our analysis are that, firstly,
meronic black holes can be distinguished by colored black holes by looking at
the spin from isospin effect (which is absent in the latter but present in the
former). Secondly, using the theory of non-embedded ansatz for $SU(N)$ together
with the spin from isospin effect, one can build fields of arbitrary high spin
out of scalar fields charged under the gauge group. Hence, one can analyze
interacting higher spin fields in asymptotically flat space-times without
"introducing by hand" higher spin fields. Our analysis also discloses an
interesting difference between the spin from isospin effect in $D=4$ and in
$D=5$.
|
[
{
"created": "Fri, 4 Mar 2022 14:59:42 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2022 15:31:25 GMT",
"version": "v2"
}
] |
2022-05-11
|
[
[
"Canfora",
"Fabrizio",
""
],
[
"Gomberoff",
"Andrés",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Vera",
"Aldo",
""
]
] |
We construct meronic black holes and solitons in the Einstein $SU(N)$-Yang-Mills theory in $D=4$ and $D=5$ dimensions. These analytical solutions are found by combining the generalized hedgehog ansatz with the Euler parameterization of the $SU(N)$ group from which the Yang-Mills equations are automatically satisfied for all values of $N$ while the Einstein equations can be solved analytically. We explicitly show the role that the color number $N$ plays in the black hole thermodynamics as well as in the gravitational spin from isospin effect. Two remarkable results of our analysis are that, firstly, meronic black holes can be distinguished by colored black holes by looking at the spin from isospin effect (which is absent in the latter but present in the former). Secondly, using the theory of non-embedded ansatz for $SU(N)$ together with the spin from isospin effect, one can build fields of arbitrary high spin out of scalar fields charged under the gauge group. Hence, one can analyze interacting higher spin fields in asymptotically flat space-times without "introducing by hand" higher spin fields. Our analysis also discloses an interesting difference between the spin from isospin effect in $D=4$ and in $D=5$.
|
2403.19547
|
Daniele Pranzetti
|
Laurent Freidel, Seyed Faroogh Moosavian, Daniele Pranzetti
|
On the definition of the spin charge in asymptotically-flat spacetimes
|
71 pages + Appendices
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a solution to a classic problem in gravitational physics
consisting of defining the spin associated with asymptotically-flat spacetimes.
We advocate that the correct asymptotic symmetry algebra to approach this
problem is the generalized-BMS algebra $\textsf{gbms}$ instead of the BMS
algebra used hitherto in the literature for which a notion of spin is
generically unavailable. We approach the problem of defining the spin charges
from the perspective of coadjoint orbits of $\textsf{gbms}$ and construct the
complete set of Casimir invariants that determine $\textsf{gbms}$ coadjoint
orbits, using the notion of vorticity for $\textsf{gbms}$. This allows us to
introduce spin charges for $\textsf{gbms}$ as the generators of area-preserving
diffeomorphisms forming its isotropy subalgebra. To elucidate the parallelism
between our analysis and the Poincar\'e case, we clarify several features of
the Poincar\'e embedding in $\textsf{gbms}$ and reveal the presence of
condensate fields associated with the symmetry breaking from $\textsf{gbms}$ to
Poincar\'e. We also introduce the notion of a rest frame available only for
this extended algebra. This allows us to construct, from the spin generator,
the gravitational analog of the Pauli--Luba\'nski pseudo-vector. Finally, we
obtain the $\textsf{gbms}$ moment map, which we use to construct the
gravitational spin charges and gravitational Casimirs from their dual algebra
counterparts.
|
[
{
"created": "Thu, 28 Mar 2024 16:28:00 GMT",
"version": "v1"
}
] |
2024-03-29
|
[
[
"Freidel",
"Laurent",
""
],
[
"Moosavian",
"Seyed Faroogh",
""
],
[
"Pranzetti",
"Daniele",
""
]
] |
We propose a solution to a classic problem in gravitational physics consisting of defining the spin associated with asymptotically-flat spacetimes. We advocate that the correct asymptotic symmetry algebra to approach this problem is the generalized-BMS algebra $\textsf{gbms}$ instead of the BMS algebra used hitherto in the literature for which a notion of spin is generically unavailable. We approach the problem of defining the spin charges from the perspective of coadjoint orbits of $\textsf{gbms}$ and construct the complete set of Casimir invariants that determine $\textsf{gbms}$ coadjoint orbits, using the notion of vorticity for $\textsf{gbms}$. This allows us to introduce spin charges for $\textsf{gbms}$ as the generators of area-preserving diffeomorphisms forming its isotropy subalgebra. To elucidate the parallelism between our analysis and the Poincar\'e case, we clarify several features of the Poincar\'e embedding in $\textsf{gbms}$ and reveal the presence of condensate fields associated with the symmetry breaking from $\textsf{gbms}$ to Poincar\'e. We also introduce the notion of a rest frame available only for this extended algebra. This allows us to construct, from the spin generator, the gravitational analog of the Pauli--Luba\'nski pseudo-vector. Finally, we obtain the $\textsf{gbms}$ moment map, which we use to construct the gravitational spin charges and gravitational Casimirs from their dual algebra counterparts.
|
2402.10903
|
Riccardo Fantoni Dr.
|
Riccardo Fantoni
|
Continuum limit of the Green function in scaled affine $\varphi^4_4$
quantum Euclidean covariant relativistic field theory
|
13 pages, 2 tables, 3 figures
|
Quantum Rep. 6, 134 (2024)
|
10.3390/quantum6020010
| null |
hep-th hep-lat quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove through path integral Monte Carlo computer experiments that the
affine quantization of the $\varphi_4^4$ scaled Euclidean covariant
relativistic scalar field theory is a valid quantum field theory with a well
defined continuum limit of the one- and two-point-function. Affine quantization
leads to a completely satisfactory quantization of field theories using
situations that involve scaled behavior leading to an unexpected,
$\hbar^2/\varphi^2$ which arises only in the quantum aspects.
|
[
{
"created": "Fri, 29 Dec 2023 11:30:56 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2024 16:07:38 GMT",
"version": "v2"
}
] |
2024-04-16
|
[
[
"Fantoni",
"Riccardo",
""
]
] |
We prove through path integral Monte Carlo computer experiments that the affine quantization of the $\varphi_4^4$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well defined continuum limit of the one- and two-point-function. Affine quantization leads to a completely satisfactory quantization of field theories using situations that involve scaled behavior leading to an unexpected, $\hbar^2/\varphi^2$ which arises only in the quantum aspects.
|
hep-th/9612005
|
D. V. Antonov
|
D.V.Antonov (Humboldt University, Berlin and ITEP, Moscow)
|
A Solution of the Cauchy Problem for the Loop Equation in Turbulence
|
6 pages, LaTeX, no figures
|
Mod.Phys.Lett. A11 (1996) 3113-3118
|
10.1142/S021773239600309X
| null |
hep-th
| null |
Under certain conditions, imposed on the viscosity of the fluid, initial data
and the class of contours under consideration, the Cauchy problem with finite
values of time for the loop equation in turbulence with Gaussian random forces
is solved by making use of the smearing procedure for the loop space functional
Laplacian. The solution obtained depends on the initial data and its functional
derivatives and on the potential of the random forces.
|
[
{
"created": "Fri, 29 Nov 1996 18:58:09 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 1997 20:34:53 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Apr 1997 10:47:31 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Antonov",
"D. V.",
"",
"Humboldt University, Berlin and ITEP, Moscow"
]
] |
Under certain conditions, imposed on the viscosity of the fluid, initial data and the class of contours under consideration, the Cauchy problem with finite values of time for the loop equation in turbulence with Gaussian random forces is solved by making use of the smearing procedure for the loop space functional Laplacian. The solution obtained depends on the initial data and its functional derivatives and on the potential of the random forces.
|
1209.3774
|
Emilio Torrente-Lujan
|
JJ. Fernandez-Melgarejo, T. Ortin, E. Torrente-Lujan
|
Maximal Nine Dimensional Supergravity, General gaugings and the
Embedding Tensor
|
XVIIth European workshop on String theory 2011, Padua, Italy, 4-9
september 2011
|
Fortschr.Phys.,60:1012-1018(2012)
|
10.1002/prop.201200039
|
FT-UM-2012-765
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the most general maximal gauged/massive supergravity in $d=9$
dimensions and determine its extended field content by using the embedding
tensor method.
|
[
{
"created": "Mon, 17 Sep 2012 20:00:02 GMT",
"version": "v1"
}
] |
2012-09-19
|
[
[
"Fernandez-Melgarejo",
"JJ.",
""
],
[
"Ortin",
"T.",
""
],
[
"Torrente-Lujan",
"E.",
""
]
] |
We construct the most general maximal gauged/massive supergravity in $d=9$ dimensions and determine its extended field content by using the embedding tensor method.
|
2306.10399
|
Rikard von Unge
|
Ariunzul Davgadorj, Ulf Lindstr\"om and Rikard von Unge
|
New techniques for Gauge Theories in Projective Superspace
|
41 pages; v2: references added
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We introduce new techniques for calculations in Gauge theories with extended
supersymmetry. We are working in Projective Superspace where the $SU(2)$
R-symmetry is realized geometrically by including an auxilliary $\mathbb{CP}^1$
component in the superspace. Different gauge representations are associated
with different dependence on the $\mathbb{CP}^1$ coordinate $\zeta$ and using
contour integrals on $\mathbb{CP}^1$ we define natural projection operators on
these different representations which leads to elegant formulas for all
relevant objects. The new techniques lead to compact expressions for
lagrangians and field strengths in terms of the gauge prepotential but also to
effective ways of reducing superspace expressions to components, i.e. to write
them in terms of fields transforming covariantly only under a subgroup of the
supersymmetry group. We illustrate our findings in several examples in three
and four dimensions.
|
[
{
"created": "Sat, 17 Jun 2023 17:56:23 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2023 07:21:27 GMT",
"version": "v2"
}
] |
2023-07-07
|
[
[
"Davgadorj",
"Ariunzul",
""
],
[
"Lindström",
"Ulf",
""
],
[
"von Unge",
"Rikard",
""
]
] |
We introduce new techniques for calculations in Gauge theories with extended supersymmetry. We are working in Projective Superspace where the $SU(2)$ R-symmetry is realized geometrically by including an auxilliary $\mathbb{CP}^1$ component in the superspace. Different gauge representations are associated with different dependence on the $\mathbb{CP}^1$ coordinate $\zeta$ and using contour integrals on $\mathbb{CP}^1$ we define natural projection operators on these different representations which leads to elegant formulas for all relevant objects. The new techniques lead to compact expressions for lagrangians and field strengths in terms of the gauge prepotential but also to effective ways of reducing superspace expressions to components, i.e. to write them in terms of fields transforming covariantly only under a subgroup of the supersymmetry group. We illustrate our findings in several examples in three and four dimensions.
|
0711.1316
|
Angel M. Uranga
|
L. E. Ibanez, A. M. Uranga
|
Instanton Induced Open String Superpotentials and Branes at
Singularities
|
41 pages, 2 figures
|
JHEP 0802:103,2008
|
10.1088/1126-6708/2008/02/103
|
IFT-UAM/CSIC-07-57, CERN-PH-TH/2007-215
|
hep-th
| null |
We study different aspects of the non-perturbative superpotentials induced by
Euclidean E3-branes on systems of D3/D7-branes located at Abelian orbifold
singularities. We discuss in detail how the induced couplings are consistent
with the U(1) symmetries carried by the D3/D7-branes. We construct different
compact and non-compact examples, and show phenomenologically relevant
couplings like $\mu$-terms or certain Yukawa couplings generated by these E3
instantons. Some other novel effects are described. We show an example where
E3-instantons combine with standard gauge instantons to yield new
multi-instanton effects contributing to superpotential, along the lines of
ref.\cite{geu}. In the case of non-SUSY $Z_N$ tachyon-free singularities it is
shown how E3-instantons give rise to non perturbative scalar couplings
including exponentially suppressed scalar bilinears.
|
[
{
"created": "Thu, 8 Nov 2007 16:43:45 GMT",
"version": "v1"
}
] |
2009-10-09
|
[
[
"Ibanez",
"L. E.",
""
],
[
"Uranga",
"A. M.",
""
]
] |
We study different aspects of the non-perturbative superpotentials induced by Euclidean E3-branes on systems of D3/D7-branes located at Abelian orbifold singularities. We discuss in detail how the induced couplings are consistent with the U(1) symmetries carried by the D3/D7-branes. We construct different compact and non-compact examples, and show phenomenologically relevant couplings like $\mu$-terms or certain Yukawa couplings generated by these E3 instantons. Some other novel effects are described. We show an example where E3-instantons combine with standard gauge instantons to yield new multi-instanton effects contributing to superpotential, along the lines of ref.\cite{geu}. In the case of non-SUSY $Z_N$ tachyon-free singularities it is shown how E3-instantons give rise to non perturbative scalar couplings including exponentially suppressed scalar bilinears.
|
hep-th/0501048
|
Luca Sommovigo
|
L. Sommovigo
|
Poincare' dual of D=4 N=2 Supergravity with Tensor Multiplets
|
15 pages, JHEP3 class, v2 typos corrected, references added
|
Nucl.Phys.B716:248-260,2005
|
10.1016/j.nuclphysb.2005.03.029
| null |
hep-th
| null |
We study, in an arbitrary even number D of dimensions, the duality between
massive D/2 tensors coupled to vectors, with masses given by an arbitrary
number of ``electric'' and ``magnetic'' charges, and (D/2-1) massive tensors.
We develop a formalism to dualize the Lagrangian of D=4, N=2 supergravity
coupled to tensor and vector multiplets, and show that, after the dualization,
it is equivalent to a standard D=4, N=2 gauged supergravity in which the
Special Geometry quantities have been acted on by a suitable symplectic
rotation.
|
[
{
"created": "Fri, 7 Jan 2005 15:59:27 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2005 17:07:39 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Sommovigo",
"L.",
""
]
] |
We study, in an arbitrary even number D of dimensions, the duality between massive D/2 tensors coupled to vectors, with masses given by an arbitrary number of ``electric'' and ``magnetic'' charges, and (D/2-1) massive tensors. We develop a formalism to dualize the Lagrangian of D=4, N=2 supergravity coupled to tensor and vector multiplets, and show that, after the dualization, it is equivalent to a standard D=4, N=2 gauged supergravity in which the Special Geometry quantities have been acted on by a suitable symplectic rotation.
|
2302.06661
|
Erin Crawley
|
Erin Crawley, Alfredo Guevara, Elizabeth Himwich, Andrew Strominger
|
Self-Dual Black Holes in Celestial Holography
|
20 pages + 3 appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct two-dimensional quantum states associated to four-dimensional
linearized rotating self-dual black holes in $(2,2)$ signature Klein space. The
states are comprised of global conformal primaries circulating on the celestial
torus, the Kleinian analog of the celestial sphere. By introducing a
generalized tower of Goldstone operators we identify the states as coherent
exponentiations carrying an infinite tower of ${\rm w}_{1+\infty}$ charges or
soft hair. We relate our results to recent approaches to black hole scattering,
including a connection to Wilson lines, $\mathcal{S}$-matrix results, and
celestial holography in curved backgrounds.
|
[
{
"created": "Mon, 13 Feb 2023 19:47:06 GMT",
"version": "v1"
}
] |
2023-02-15
|
[
[
"Crawley",
"Erin",
""
],
[
"Guevara",
"Alfredo",
""
],
[
"Himwich",
"Elizabeth",
""
],
[
"Strominger",
"Andrew",
""
]
] |
We construct two-dimensional quantum states associated to four-dimensional linearized rotating self-dual black holes in $(2,2)$ signature Klein space. The states are comprised of global conformal primaries circulating on the celestial torus, the Kleinian analog of the celestial sphere. By introducing a generalized tower of Goldstone operators we identify the states as coherent exponentiations carrying an infinite tower of ${\rm w}_{1+\infty}$ charges or soft hair. We relate our results to recent approaches to black hole scattering, including a connection to Wilson lines, $\mathcal{S}$-matrix results, and celestial holography in curved backgrounds.
|
hep-th/0011068
|
Torsten Tok
|
H. Reinhardt and T. Tok
|
Abelian and center gauge fixing in continuum Yang-Mills-Theory for
general gauge groups
|
17 pages, LaTeX2e, two references added
|
Phys.Lett.B500:173-182,2001
|
10.1016/S0370-2693(01)00064-8
|
UNITU--THEP--17/2000
|
hep-th
| null |
A prescription for center gauge fixing for pure Yang-Mills theory in the
continuum with general gauge groups is presented. The emergence of various
types of singularities (magnetic monopoles and center vortices) appearing in
the course of the gauge fixing procedure are discussed.
|
[
{
"created": "Thu, 9 Nov 2000 11:09:55 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 2000 14:40:33 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Reinhardt",
"H.",
""
],
[
"Tok",
"T.",
""
]
] |
A prescription for center gauge fixing for pure Yang-Mills theory in the continuum with general gauge groups is presented. The emergence of various types of singularities (magnetic monopoles and center vortices) appearing in the course of the gauge fixing procedure are discussed.
|
2304.04857
|
Maxim Kurkov
|
V. G. Kupriyanov, M. A. Kurkov and P. Vitale
|
Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
|
Revised version; published in JHEP; 24 pages
| null |
10.1007/JHEP11(2023)200
| null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We consider gauge theories on Poisson manifolds emerging as semiclassical
approximations of noncommutative spacetime with Lie algebra type
noncommutativity. We prove an important identity, which allows to obtain simple
and manifestly gauge-covariant expressions for the Euler-Lagrange equations of
motion, the Bianchi and the Noether identities. We discuss the non-Lagrangian
equations of motion, and apply our findings to the $\kappa$-Minkowski case. We
construct a family of exact solutions of the deformed Maxwell equations in the
vacuum. In the classical limit, these solutions recover plane waves with
left-handed and right-handed circular polarization, being classical
counterparts of photons. The deformed dispersion relation appears to be
nontrivial.
|
[
{
"created": "Mon, 10 Apr 2023 20:38:24 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2023 13:46:10 GMT",
"version": "v2"
}
] |
2023-12-04
|
[
[
"Kupriyanov",
"V. G.",
""
],
[
"Kurkov",
"M. A.",
""
],
[
"Vitale",
"P.",
""
]
] |
We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity. We prove an important identity, which allows to obtain simple and manifestly gauge-covariant expressions for the Euler-Lagrange equations of motion, the Bianchi and the Noether identities. We discuss the non-Lagrangian equations of motion, and apply our findings to the $\kappa$-Minkowski case. We construct a family of exact solutions of the deformed Maxwell equations in the vacuum. In the classical limit, these solutions recover plane waves with left-handed and right-handed circular polarization, being classical counterparts of photons. The deformed dispersion relation appears to be nontrivial.
|
1910.12700
|
Faizuddin Ahmed
|
Faizuddin Ahmed
|
Relativistic quantum dynamics of spin-0 massive charged particle in the
presence of external fields in 4D curved space-time with a cosmic string
|
28 pages, no figure, comments and criticism are most welcome
|
EPJ Plus (2020) 135:108
|
10.1140/epjp/s13360-020-00199-w
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigate the relativistic quantum dynamics of spin-0
massive charged particles in a 4D curved space-time, the generalization of a
cosmic string space-time. We investigate the Klein-Gordon equation in the
presence of external fields in the considered framework. We also investigate a
quantum particle described by the Klein-Gordon oscillator in the curved
background space-time in the presence of external fields. We see that the
energy eigenvalues get modifies in comparison to the results obtained in a
cosmic string space-time.
|
[
{
"created": "Fri, 25 Oct 2019 12:53:33 GMT",
"version": "v1"
}
] |
2020-01-28
|
[
[
"Ahmed",
"Faizuddin",
""
]
] |
In this work, we investigate the relativistic quantum dynamics of spin-0 massive charged particles in a 4D curved space-time, the generalization of a cosmic string space-time. We investigate the Klein-Gordon equation in the presence of external fields in the considered framework. We also investigate a quantum particle described by the Klein-Gordon oscillator in the curved background space-time in the presence of external fields. We see that the energy eigenvalues get modifies in comparison to the results obtained in a cosmic string space-time.
|
1205.1522
|
Erik Plauschinn
|
Ralph Blumenhagen, Andreas Deser, Erik Plauschinn, Felix Rennecke
|
Bianchi Identities for Non-Geometric Fluxes - From Quasi-Poisson
Structures to Courant Algebroids
|
17 pages; v2: references added, typos corrected
| null |
10.1002/prop.201200099
|
MPP-2012-86; ITP-UU-12/16; SPIN-12/14
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from a (non-associative) quasi-Poisson structure, the derivation of
a Roytenberg-type algebra is presented. From the Jacobi identities of the
latter, the most general form of Bianchi identities for fluxes (H,f,Q,R) is
then derived. It is also explained how this approach is related to the
mathematical theory of quasi-Lie and Courant algebroids.
|
[
{
"created": "Mon, 7 May 2012 20:03:32 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2012 14:53:22 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Deser",
"Andreas",
""
],
[
"Plauschinn",
"Erik",
""
],
[
"Rennecke",
"Felix",
""
]
] |
Starting from a (non-associative) quasi-Poisson structure, the derivation of a Roytenberg-type algebra is presented. From the Jacobi identities of the latter, the most general form of Bianchi identities for fluxes (H,f,Q,R) is then derived. It is also explained how this approach is related to the mathematical theory of quasi-Lie and Courant algebroids.
|
1911.12309
|
Orestis Vasilakis
|
Ondrej Hulik, Joris Raeymaekers, Orestis Vasilakis
|
Information recovery from pure state geometries in 3D
|
48 pages, 12 figures, published version
| null |
10.1007/JHEP06(2020)119
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is a well-studied phenomenon in AdS$_3$/CFT$_2$ that pure states often
appear 'too thermal' in the classical gravity limit, leading to a version of
the information puzzle. One example is the case of a heavy scalar primary
state, whose associated classical geometry is the BTZ black hole. Another
example is provided by a heavy left-moving primary, which displays late time
decay in chiral correlators. In this paper we study a special class of pure
state geometries which do not display such information loss. They describe
heavy CFT states created by a collection of chiral operators at various
positions on the complex plane. In the bulk, these take the form of
multi-centered solutions from the backreaction of a collection of spinning
particles, which we construct for circular distributions of particles. We
compute the two-point function of probe operators in these backgrounds and show
that information is retrieved. We observe that the states for which our
geometric picture is reliable are highly extended star-like objects in the bulk
description. This may point to limitations of the semiclassical fuzzball
picture of black hole microstates.
|
[
{
"created": "Wed, 27 Nov 2019 17:35:54 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2019 20:16:07 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Sep 2020 05:34:39 GMT",
"version": "v3"
}
] |
2020-09-25
|
[
[
"Hulik",
"Ondrej",
""
],
[
"Raeymaekers",
"Joris",
""
],
[
"Vasilakis",
"Orestis",
""
]
] |
It is a well-studied phenomenon in AdS$_3$/CFT$_2$ that pure states often appear 'too thermal' in the classical gravity limit, leading to a version of the information puzzle. One example is the case of a heavy scalar primary state, whose associated classical geometry is the BTZ black hole. Another example is provided by a heavy left-moving primary, which displays late time decay in chiral correlators. In this paper we study a special class of pure state geometries which do not display such information loss. They describe heavy CFT states created by a collection of chiral operators at various positions on the complex plane. In the bulk, these take the form of multi-centered solutions from the backreaction of a collection of spinning particles, which we construct for circular distributions of particles. We compute the two-point function of probe operators in these backgrounds and show that information is retrieved. We observe that the states for which our geometric picture is reliable are highly extended star-like objects in the bulk description. This may point to limitations of the semiclassical fuzzball picture of black hole microstates.
|
2006.02117
|
Nick Evans
|
Nick Evans and M.J. Russell
|
Low mu and imaginary mu signals of a critical point in the phase diagram
of an exactly soluble chiral symmetry breaking theory
|
14 pages, 8 figures
|
Phys. Rev. D 102, 046018 (2020)
|
10.1103/PhysRevD.102.046018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holography has allowed the exact solution of a small number of large Nc gauge
theories. Amongst these is an N=2 SYM theory of quarks interacting with N=4
gauge fields. The temperature chemical potential phase diagram for this theory
in the presence of a magnetic field is exactly known and shows first and second
order chiral symmetry restoration transitions and a critical point. Here we
extend this phase diagram to imaginary chemical potential to seek structure at
small real mu and imaginary mu that help to reconstruct the large real mu phase
structure. We also explore a phenomenologically deformed version of the theory
where the critical point can be moved into the imaginary chemical potential
plane. In particular we observe that when the transition is second order in
these theories there are naturally two distinct transitions - one for the onset
of density and one for chiral symmetry restoration. In addition, the phase
diagram has boundaries of regions where metastable vacua exist and these
boundaries, as well as the phase boundaries, converge at the critical point.
These observations may point to techniques for the study of the QCD critical
point either on the lattice or using heavy ion collision data.
|
[
{
"created": "Wed, 3 Jun 2020 09:19:33 GMT",
"version": "v1"
}
] |
2020-09-02
|
[
[
"Evans",
"Nick",
""
],
[
"Russell",
"M. J.",
""
]
] |
Holography has allowed the exact solution of a small number of large Nc gauge theories. Amongst these is an N=2 SYM theory of quarks interacting with N=4 gauge fields. The temperature chemical potential phase diagram for this theory in the presence of a magnetic field is exactly known and shows first and second order chiral symmetry restoration transitions and a critical point. Here we extend this phase diagram to imaginary chemical potential to seek structure at small real mu and imaginary mu that help to reconstruct the large real mu phase structure. We also explore a phenomenologically deformed version of the theory where the critical point can be moved into the imaginary chemical potential plane. In particular we observe that when the transition is second order in these theories there are naturally two distinct transitions - one for the onset of density and one for chiral symmetry restoration. In addition, the phase diagram has boundaries of regions where metastable vacua exist and these boundaries, as well as the phase boundaries, converge at the critical point. These observations may point to techniques for the study of the QCD critical point either on the lattice or using heavy ion collision data.
|
1108.3080
|
Max Tegmark
|
Max Tegmark (MIT)
|
How unitary cosmology generalizes thermodynamics and solves the
inflationary entropy problem
|
Updated to match accepted PRD version, including Quantum Bayes
Theorem derivation and rigorous proof that decoherence increases von Neumann
entropy. 20 pages, 5 figs
| null |
10.1103/PhysRevD.85.123517
| null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze cosmology assuming unitary quantum mechanics, using a tripartite
partition into system, observer and environment degrees of freedom. This
generalizes the second law of thermodynamics to "The system's entropy can't
decrease unless it interacts with the observer, and it can't increase unless it
interacts with the environment." The former follows from the quantum Bayes
Theorem we derive. We show that because of the long-range entanglement created
by cosmological inflation, the cosmic entropy decreases exponentially rather
than linearly with the number of bits of information observed, so that a given
observer can reduce entropy by much more than the amount of information her
brain can store. Indeed, we argue that as long as inflation has occurred in a
non-negligible fraction of the volume, almost all sentient observers will find
themselves in a post-inflationary low-entropy Hubble volume, and we humans have
no reason to be surprised that we do so as well, which solves the so-called
inflationary entropy problem. An arguably worse problem for unitary cosmology
involves gamma-ray-burst constraints on the "Big Snap", a fourth cosmic
doomsday scenario alongside the "Big Crunch", "Big Chill" and "Big Rip", where
an increasingly granular nature of expanding space modifies our life-supporting
laws of physics.
Our tripartite framework also clarifies when it is valid to make the popular
quantum gravity approximation that the Einstein tensor equals the quantum
expectation value of the stress-energy tensor, and how problems with recent
attempts to explain dark energy as gravitational backreaction from
super-horizon scale fluctuations can be understood as a failure of this
approximation.
|
[
{
"created": "Mon, 15 Aug 2011 20:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2011 22:57:28 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Aug 2012 20:00:04 GMT",
"version": "v3"
}
] |
2013-05-30
|
[
[
"Tegmark",
"Max",
"",
"MIT"
]
] |
We analyze cosmology assuming unitary quantum mechanics, using a tripartite partition into system, observer and environment degrees of freedom. This generalizes the second law of thermodynamics to "The system's entropy can't decrease unless it interacts with the observer, and it can't increase unless it interacts with the environment." The former follows from the quantum Bayes Theorem we derive. We show that because of the long-range entanglement created by cosmological inflation, the cosmic entropy decreases exponentially rather than linearly with the number of bits of information observed, so that a given observer can reduce entropy by much more than the amount of information her brain can store. Indeed, we argue that as long as inflation has occurred in a non-negligible fraction of the volume, almost all sentient observers will find themselves in a post-inflationary low-entropy Hubble volume, and we humans have no reason to be surprised that we do so as well, which solves the so-called inflationary entropy problem. An arguably worse problem for unitary cosmology involves gamma-ray-burst constraints on the "Big Snap", a fourth cosmic doomsday scenario alongside the "Big Crunch", "Big Chill" and "Big Rip", where an increasingly granular nature of expanding space modifies our life-supporting laws of physics. Our tripartite framework also clarifies when it is valid to make the popular quantum gravity approximation that the Einstein tensor equals the quantum expectation value of the stress-energy tensor, and how problems with recent attempts to explain dark energy as gravitational backreaction from super-horizon scale fluctuations can be understood as a failure of this approximation.
|
1903.12621
|
Adam R. Brown
|
Adam R. Brown and Leonard Susskind
|
The Complexity Geometry of a Single Qubit
|
45 pages, 8 figures, 1 qubit. v2: added extraneous appendix about
optimal shapes for tunnels bored through Earth
|
Phys. Rev. D 100, 046020 (2019)
|
10.1103/PhysRevD.100.046020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The computational complexity of a quantum state quantifies how hard it is to
make. `Complexity geometry', first proposed by Nielsen, is an approach to
defining computational complexity using the tools of differential geometry.
Here we demonstrate many of the attractive features of complexity geometry
using the example of a single qubit, which turns out to be rich enough to be
illustrative but simple enough to be illuminating.
|
[
{
"created": "Fri, 29 Mar 2019 17:12:14 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2021 21:50:33 GMT",
"version": "v2"
}
] |
2021-04-01
|
[
[
"Brown",
"Adam R.",
""
],
[
"Susskind",
"Leonard",
""
]
] |
The computational complexity of a quantum state quantifies how hard it is to make. `Complexity geometry', first proposed by Nielsen, is an approach to defining computational complexity using the tools of differential geometry. Here we demonstrate many of the attractive features of complexity geometry using the example of a single qubit, which turns out to be rich enough to be illustrative but simple enough to be illuminating.
|
2306.05127
|
Francesco Fucito
|
Francesco Fucito, Jose Francisco Morales, Rubik Poghossian
|
On irregular states and Argyres-Douglas theories
|
26 pages, 1 reference added, many typos corrected as suggested from
the referee
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal theories of the Argyres-Douglas type are notoriously hard to study
given that they are isolated and strongly coupled thus lacking a lagrangian
description. In flat space, an exact description is provided by the
Seiberg-Witten theory. Turning on a $\Omega$-background makes the geometry
``quantum" and tractable only in the weak curvature limit. In this paper we use
the AGT correspondence to derive $\Omega$-exact formulae for the partition
function, in the nearby of monopole points where the dynamics is described by
irregular conformal blocks of the CFT. The results are checked against those
obtained by the recursion relations coming from a conformal anomaly in the
region where the two approaches overlap. The Nekrasov-Shatashvili limit is also
discussed. Finally, we comment on the existence of black holes in De Sitter
space whose low energy dynamics is described by an Argyres-Douglas theory.
|
[
{
"created": "Thu, 8 Jun 2023 11:51:02 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2023 14:15:12 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Aug 2023 09:40:28 GMT",
"version": "v3"
}
] |
2023-08-10
|
[
[
"Fucito",
"Francesco",
""
],
[
"Morales",
"Jose Francisco",
""
],
[
"Poghossian",
"Rubik",
""
]
] |
Conformal theories of the Argyres-Douglas type are notoriously hard to study given that they are isolated and strongly coupled thus lacking a lagrangian description. In flat space, an exact description is provided by the Seiberg-Witten theory. Turning on a $\Omega$-background makes the geometry ``quantum" and tractable only in the weak curvature limit. In this paper we use the AGT correspondence to derive $\Omega$-exact formulae for the partition function, in the nearby of monopole points where the dynamics is described by irregular conformal blocks of the CFT. The results are checked against those obtained by the recursion relations coming from a conformal anomaly in the region where the two approaches overlap. The Nekrasov-Shatashvili limit is also discussed. Finally, we comment on the existence of black holes in De Sitter space whose low energy dynamics is described by an Argyres-Douglas theory.
|
hep-th/9810216
|
Q.-Han Park
|
Choonkyu Lee and Q-Han Park
|
Exact BPS monopole solution in a self-dual background
|
10 pages
|
Phys.Lett. B449 (1999) 223-229
|
10.1016/S0370-2693(99)00044-1
|
SNUTP 98-096
|
hep-th
| null |
An exact one monopole solution in a uniform self-dual background field is
obtained in the BPS limit of the SU(2) Yang-Mills-Higgs theory by using the
inverse scattering method.
|
[
{
"created": "Tue, 27 Oct 1998 01:21:02 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Lee",
"Choonkyu",
""
],
[
"Park",
"Q-Han",
""
]
] |
An exact one monopole solution in a uniform self-dual background field is obtained in the BPS limit of the SU(2) Yang-Mills-Higgs theory by using the inverse scattering method.
|
1606.08185
|
Ilmar Gahramanov
|
Ilmar Gahramanov and Hjalmar Rosengren
|
Basic hypergeometry of supersymmetric dualities
|
25 pages, v2: minor corrections and comments
|
Nucl.Phys. B913 (2016) 747-768
|
10.1016/j.nuclphysb.2016.10.004
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce several new identities combining basic hypergeometric sums and
integrals. Such identities appear in the context of superconformal index
computations for three-dimensional supersymmetric dual theories. We give both
analytic proofs and physical interpretations of the presented identities.
|
[
{
"created": "Mon, 27 Jun 2016 10:02:25 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2016 15:03:02 GMT",
"version": "v2"
}
] |
2016-11-08
|
[
[
"Gahramanov",
"Ilmar",
""
],
[
"Rosengren",
"Hjalmar",
""
]
] |
We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensional supersymmetric dual theories. We give both analytic proofs and physical interpretations of the presented identities.
|
2006.00332
|
Roldao da Rocha
|
D. Marinho Rodrigues, R. da Rocha
|
Configurational entropy and spectroscopy of pomeron resonances in
dynamical AdS/QCD
|
18 pages, 12 figures
|
Eur. Phys. J. Plus 137 (2022) 429
|
10.1140/epjp/s13360-022-02622-w
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Pomeron resonances in AdS/QCD are here studied using the configurational
entropy (CE). The concept of CE Regge trajectories, associating the CE of the
pomeron resonances with both their spin $J^{PC}$ and to their mass spectra, is
used to derive the mass spectra of higher $J^{PC}$ pomeron resonances. For it,
the linear, the exponential modified and the anomalous quadratic dilatonic
models, each one with linear and logarithmic anomalous corrections, are
employed. Several methods are implemented, hybridizing AdS/QCD and established
data of lattice QCD.
|
[
{
"created": "Sat, 30 May 2020 18:45:04 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2022 16:58:39 GMT",
"version": "v2"
}
] |
2022-04-08
|
[
[
"Rodrigues",
"D. Marinho",
""
],
[
"da Rocha",
"R.",
""
]
] |
Pomeron resonances in AdS/QCD are here studied using the configurational entropy (CE). The concept of CE Regge trajectories, associating the CE of the pomeron resonances with both their spin $J^{PC}$ and to their mass spectra, is used to derive the mass spectra of higher $J^{PC}$ pomeron resonances. For it, the linear, the exponential modified and the anomalous quadratic dilatonic models, each one with linear and logarithmic anomalous corrections, are employed. Several methods are implemented, hybridizing AdS/QCD and established data of lattice QCD.
|
1805.08779
|
Andrey Sadofyev
|
Xu-Guang Huang and Andrey V. Sadofyev
|
Chiral Vortical Effect For An Arbitrary Spin
|
17 pages, references updated;
| null |
10.1007/JHEP03(2019)084
| null |
hep-th cond-mat.other nucl-th physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The spin Hall effect of light attracted enormous attention in the literature
due to the ongoing progress in developing of new optically active materials and
metamaterials with non-trivial spin-orbit interaction. Recently, it was shown
that rotating fermionic systems with relativistic massless spectrum may exhibit
a 3d analogue of the spin Hall current -- the chiral vortical effect (CVE).
Here we show that CVE is a general feature of massless particles with an
arbitrary spin. We derive the semi-classical equations of motion in rotating
frame from the first principles and show how by coordinate transformation in
the phase space it can be brought to the intuitive form proposed in [1]. Our
finding clarifies the superficial discrepancies in different formulations of
the chiral kinetic theory for rotating systems. We then generalize the chiral
kinetic theory, originally introduced for fermions, to an arbitrary spin and
study chirality current in a general rotating chiral medium. We stress that the
higher-spin realizations of CVE can be in principle observed in various setups
including table-top experiments on quantum optics.
|
[
{
"created": "Tue, 22 May 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2018 04:24:31 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Mar 2019 16:48:02 GMT",
"version": "v3"
}
] |
2019-04-01
|
[
[
"Huang",
"Xu-Guang",
""
],
[
"Sadofyev",
"Andrey V.",
""
]
] |
The spin Hall effect of light attracted enormous attention in the literature due to the ongoing progress in developing of new optically active materials and metamaterials with non-trivial spin-orbit interaction. Recently, it was shown that rotating fermionic systems with relativistic massless spectrum may exhibit a 3d analogue of the spin Hall current -- the chiral vortical effect (CVE). Here we show that CVE is a general feature of massless particles with an arbitrary spin. We derive the semi-classical equations of motion in rotating frame from the first principles and show how by coordinate transformation in the phase space it can be brought to the intuitive form proposed in [1]. Our finding clarifies the superficial discrepancies in different formulations of the chiral kinetic theory for rotating systems. We then generalize the chiral kinetic theory, originally introduced for fermions, to an arbitrary spin and study chirality current in a general rotating chiral medium. We stress that the higher-spin realizations of CVE can be in principle observed in various setups including table-top experiments on quantum optics.
|
2005.00854
|
Alex Buchel
|
Alex Buchel
|
On branches of the KS black hole
|
27 pages, 5 figures; v2: NPB version
| null |
10.1016/j.nuclphysb.2020.115094
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Klebanov-Strassler black hole is a holographic dual to ${\cal N}=1$
supersymmetric $SU(N)\times SU(N+M)$ cascading gauge theory plasma with
spontaneously broken chiral symmetry. The chiral symmetry breaking sector of
the cascading gauge theory contains two dimension-3 operators and a single
dimension-7 operator. The black hole solution constructed in arXiv:1809.08484
represents the end point of the instability triggered by the condensation of
one of the dimension-3 operators. We study here all three branches of the
quasinormal modes of the chiral symmetry breaking sector -- there are no
additional instabilities beyond the one identified in arXiv:1012.2404. Thus,
the Klebanov-Strassler black hole solution of arXiv:1809.08484 is the only one
with homogeneous and isotropic horizon, perturbatively connected to the
chirally symmetric Klebanov-Tseytlin black hole arXiv:0706.1768.
|
[
{
"created": "Sat, 2 May 2020 15:11:01 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jun 2020 15:13:38 GMT",
"version": "v2"
}
] |
2020-07-15
|
[
[
"Buchel",
"Alex",
""
]
] |
The Klebanov-Strassler black hole is a holographic dual to ${\cal N}=1$ supersymmetric $SU(N)\times SU(N+M)$ cascading gauge theory plasma with spontaneously broken chiral symmetry. The chiral symmetry breaking sector of the cascading gauge theory contains two dimension-3 operators and a single dimension-7 operator. The black hole solution constructed in arXiv:1809.08484 represents the end point of the instability triggered by the condensation of one of the dimension-3 operators. We study here all three branches of the quasinormal modes of the chiral symmetry breaking sector -- there are no additional instabilities beyond the one identified in arXiv:1012.2404. Thus, the Klebanov-Strassler black hole solution of arXiv:1809.08484 is the only one with homogeneous and isotropic horizon, perturbatively connected to the chirally symmetric Klebanov-Tseytlin black hole arXiv:0706.1768.
|
hep-th/0210050
|
Xin-zhou Li
|
Xin-zhou Li, Jian-gang Hao
|
Global Monopole in Asymptotically dS/AdS Spacetime
|
5 pages, 1 figure, to appear in Phys. Rev. D
|
Phys.Rev.D66:107701,2002
|
10.1103/PhysRevD.66.107701
| null |
hep-th gr-qc
| null |
In this paper, we investigate the global monopole in asymptotically dS/Ads
spacetime and find that the mass of the monopole in the asymptotically dS
spacetime could be positive if the cosmological constant is greater than a
critical value. This shows that the gravitational field of the global monopole
could be attractive or repulsive depending on the value of the cosmological
constant.
|
[
{
"created": "Sat, 5 Oct 2002 02:30:08 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Li",
"Xin-zhou",
""
],
[
"Hao",
"Jian-gang",
""
]
] |
In this paper, we investigate the global monopole in asymptotically dS/Ads spacetime and find that the mass of the monopole in the asymptotically dS spacetime could be positive if the cosmological constant is greater than a critical value. This shows that the gravitational field of the global monopole could be attractive or repulsive depending on the value of the cosmological constant.
|
1204.5506
|
Francesco Toppan
|
Marcelo Gonzales, Kevin Iga, Sadi Khodaee and Francesco Toppan
|
Pure and entangled N=4 linear supermultiplets and their one-dimensional
sigma-models
|
20 pages, 5 figures. Two references added
|
J. Math. Phys. 53, 103513 (2012)
|
10.1063/1.4755834
|
CBPF-NF-008/12
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
"Pure" homogeneous linear supermultiplets (minimal and non-minimal) of the
N=4-Extended one-dimensional Supersymmetry Algebra are classified. "Pure" means
that they admit at least one graphical presentation (the corresponding
graph/graphs are known as "Adinkras"). We further prove the existence of
"entangled" linear supermultiplets which do not admit a graphical presentation,
by constructing an explicit example of an entangled N=4 supermultiplet with
field content (3,8,5). It interpolates between two inequivalent pure N=4
supermultiplets with the same field content. The one-dimensional N=4
sigma-model with a three-dimensional target based on the entangled
supermultiplet is presented. The distinction between the notion of equivalence
for pure supermultiplets and the notion of equivalence for their associated
graphs (Adinkras) is discussed. Discrete properties such as chirality and
coloring can discriminate different supermultiplets. The tools used in our
classification include, among others, the notion of field content, connectivity
symbol, commuting group, node choice group and so on.
|
[
{
"created": "Tue, 24 Apr 2012 22:26:39 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2012 14:44:37 GMT",
"version": "v2"
}
] |
2012-10-22
|
[
[
"Gonzales",
"Marcelo",
""
],
[
"Iga",
"Kevin",
""
],
[
"Khodaee",
"Sadi",
""
],
[
"Toppan",
"Francesco",
""
]
] |
"Pure" homogeneous linear supermultiplets (minimal and non-minimal) of the N=4-Extended one-dimensional Supersymmetry Algebra are classified. "Pure" means that they admit at least one graphical presentation (the corresponding graph/graphs are known as "Adinkras"). We further prove the existence of "entangled" linear supermultiplets which do not admit a graphical presentation, by constructing an explicit example of an entangled N=4 supermultiplet with field content (3,8,5). It interpolates between two inequivalent pure N=4 supermultiplets with the same field content. The one-dimensional N=4 sigma-model with a three-dimensional target based on the entangled supermultiplet is presented. The distinction between the notion of equivalence for pure supermultiplets and the notion of equivalence for their associated graphs (Adinkras) is discussed. Discrete properties such as chirality and coloring can discriminate different supermultiplets. The tools used in our classification include, among others, the notion of field content, connectivity symbol, commuting group, node choice group and so on.
|
hep-th/9903245
|
Emil Nissimov
|
Eduardo I. Guendelman (Ben-Gurion Univ., Beer-Sheva), Emil Nissimov
and Svetlana Pacheva (Ben-Gurion Univ., Beer-Sheva, and Institute for Nuclear
Research and Nuclear Energy, Sofia)
|
Composite Vector and Tensor Gauge Fields, and Volume-Preserving
Diffeomorphisms
|
5 pages, LaTeX209, to appear in the Proceedings of the Annual Physics
Science Fete 1999, Sde-Boker, Israel
| null | null |
BGU-99 / 10 / Mar - PH
|
hep-th
| null |
We describe new theories of composite vector and tensor (p-form) gauge fields
made out of zero-dimensional constituent scalar fields (``primitives''). The
local gauge symmetry is replaced by an infinite-dimensional global Noether
symmetry -- the group of volume-preserving (symplectic) diffeomorphisms of the
target space of the scalar primitives. We find additional non-Maxwell and
non-Kalb-Ramond solutions describing topologically massive tensor gauge field
configurations in odd space-time dimensions. Generalization to the
supersymmetric case is also sketched.
|
[
{
"created": "Sun, 28 Mar 1999 20:09:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Guendelman",
"Eduardo I.",
"",
"Ben-Gurion Univ., Beer-Sheva"
],
[
"Nissimov",
"Emil",
"",
"Ben-Gurion Univ., Beer-Sheva, and Institute for Nuclear\n Research and Nuclear Energy, Sofia"
],
[
"Pacheva",
"Svetlana",
"",
"Ben-Gurion Univ., Beer-Sheva, and Institute for Nuclear\n Research and Nuclear Energy, Sofia"
]
] |
We describe new theories of composite vector and tensor (p-form) gauge fields made out of zero-dimensional constituent scalar fields (``primitives''). The local gauge symmetry is replaced by an infinite-dimensional global Noether symmetry -- the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. We find additional non-Maxwell and non-Kalb-Ramond solutions describing topologically massive tensor gauge field configurations in odd space-time dimensions. Generalization to the supersymmetric case is also sketched.
|
0901.0563
|
Doron Gazit
|
Doron Gazit, Ho-Ung Yee
|
Weak Interaction in Holographic QCD
|
Talk presented at the 18th Particle and Nuclei International
Conference, PANIC08, Eilat, 9-14 November 2008
| null | null |
INT-PUB-08-58
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a recent proposal of a simple prescription for including
low-energy weak-interactions into the framework of holographic QCD, based on
the standard AdS/CFT dictionary of double-trace deformations. This opens a new
perspective on phenomenological applications of holographic QCD: calculating
weak observables in the strongly coupled regime of QCD. The idea is general
enough to be implemented in any holographic model. Its efficiency and
usefulness are demonstrated by performing few exemplar calculations of weak
reactions involving mesons and baryons, within the Sakai-Sugimoto and hard/soft
wall holographic models.
|
[
{
"created": "Mon, 5 Jan 2009 22:39:11 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Gazit",
"Doron",
""
],
[
"Yee",
"Ho-Ung",
""
]
] |
We present a recent proposal of a simple prescription for including low-energy weak-interactions into the framework of holographic QCD, based on the standard AdS/CFT dictionary of double-trace deformations. This opens a new perspective on phenomenological applications of holographic QCD: calculating weak observables in the strongly coupled regime of QCD. The idea is general enough to be implemented in any holographic model. Its efficiency and usefulness are demonstrated by performing few exemplar calculations of weak reactions involving mesons and baryons, within the Sakai-Sugimoto and hard/soft wall holographic models.
|
1911.04160
|
C. P. Martin Professor
|
Jesus Anero, Carmelo P. Martin and Raquel Santos-Garcia
|
Off-shell unimodular N=1, d=4 supergravity
|
23 pages, no figures
| null |
10.1007/JHEP01(2020)145
|
FTI/UCM 217-2019
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that
the infinitesimal Grassmann parameters defining the unimodular supergravity
transformations are constrained and show that the conmutator of two
infinitesinal unimodular supergravity transformations closes on transverse
diffeomorphisms, Lorentz transformations and unimodular supergravity
transformations. Along the way, we also show that the linearized theory is a
supersymmetric theory of gravitons and gravitinos. We see that de Sitter and
anti-de Sitter spacetimes are non-supersymmetric vacua of our unimodular
supergravity theory.
|
[
{
"created": "Mon, 11 Nov 2019 10:25:21 GMT",
"version": "v1"
}
] |
2020-02-19
|
[
[
"Anero",
"Jesus",
""
],
[
"Martin",
"Carmelo P.",
""
],
[
"Santos-Garcia",
"Raquel",
""
]
] |
We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constrained and show that the conmutator of two infinitesinal unimodular supergravity transformations closes on transverse diffeomorphisms, Lorentz transformations and unimodular supergravity transformations. Along the way, we also show that the linearized theory is a supersymmetric theory of gravitons and gravitinos. We see that de Sitter and anti-de Sitter spacetimes are non-supersymmetric vacua of our unimodular supergravity theory.
|
hep-th/0302133
|
Bibhuti Bhubasan Deo
|
B. B. Deo and L. Maharana
|
Particle Spectrum of the Supersymmetric Standard Model from the Massless
Excitations of a Four Dimensional Superstring
| null |
Mod.Phys.Lett. A19 (2004) 1939
|
10.1142/S0217732304014094
| null |
hep-th
| null |
A superstring action is quantised with Neveu Schwarz(NS) and Ramond(R)
boundary conditions. The zero mass states of the NS sector are classified as
the vector gluons, W-mesons, $B_{\mu}$-mesons and scalars containing Higgs. The
fifteen zero mass fermions are obtained from the Ramond sector. A space time
supersymmetric Hamiltonian of the Standard Model is presented without any
conventional SUSY particles.
|
[
{
"created": "Mon, 17 Feb 2003 15:30:02 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Sep 2003 15:33:01 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Oct 2003 08:22:33 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Deo",
"B. B.",
""
],
[
"Maharana",
"L.",
""
]
] |
A superstring action is quantised with Neveu Schwarz(NS) and Ramond(R) boundary conditions. The zero mass states of the NS sector are classified as the vector gluons, W-mesons, $B_{\mu}$-mesons and scalars containing Higgs. The fifteen zero mass fermions are obtained from the Ramond sector. A space time supersymmetric Hamiltonian of the Standard Model is presented without any conventional SUSY particles.
|
1107.1036
|
M. V. Libanov
|
M.Libanov and V.Rubakov
|
Dynamical vs spectator models of (pseudo-)conformal Universe
|
13 pages
| null |
10.1007/s11232-012-0126-2
|
INR-TH-2011-14
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss two versions of the conformal scenario for generating scalar
cosmological perturbations: a spectator version with a scalar field conformally
coupled to gravity and carrying negligible energy density, and a dynamical
version with a scalar field minimally coupled to gravity and dominating the
cosmological evolution. By making use of the Newtonian gauge, we show that (i)
no UV strong coupling scale is generated below $M_{Pl}$ due to mixing with
metric perturbations in the dynamical scenario, and (ii) the dynamical and
spectator models yield identical results to the leading non-linear order. We
argue that these results, which include potentially observable effects like
statistical anisotropy and non-Gaussianity, are characteristic of the entire
class of conformal models. As an example, we reproduce, within the dynamical
scenario and working in comoving gauge, our earlier result on the statistical
anisotropy, which was originally obtained within the spectator approach.
|
[
{
"created": "Wed, 6 Jul 2011 06:53:30 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Libanov",
"M.",
""
],
[
"Rubakov",
"V.",
""
]
] |
We discuss two versions of the conformal scenario for generating scalar cosmological perturbations: a spectator version with a scalar field conformally coupled to gravity and carrying negligible energy density, and a dynamical version with a scalar field minimally coupled to gravity and dominating the cosmological evolution. By making use of the Newtonian gauge, we show that (i) no UV strong coupling scale is generated below $M_{Pl}$ due to mixing with metric perturbations in the dynamical scenario, and (ii) the dynamical and spectator models yield identical results to the leading non-linear order. We argue that these results, which include potentially observable effects like statistical anisotropy and non-Gaussianity, are characteristic of the entire class of conformal models. As an example, we reproduce, within the dynamical scenario and working in comoving gauge, our earlier result on the statistical anisotropy, which was originally obtained within the spectator approach.
|
hep-th/9503078
|
John Schwarz
|
John H. Schwarz
|
Classical Symmetries of Some Two-Dimensional Models
|
51 pages, minor corrections and added references
|
Nucl.Phys. B447 (1995) 137-182
|
10.1016/0550-3213(95)00276-X
|
CALT-68-1978
|
hep-th
| null |
It is well-known that principal chiral models and symmetric space models in
two-dimensional Minkowski space have an infinite-dimensional algebra of hidden
symmetries. Because of the relevance of symmetric space models to duality
symmetries in string theory, the hidden symmetries of these models are explored
in some detail. The string theory application requires including coupling to
gravity, supersymmetrization, and quantum effects. However, as a first step,
this paper only considers classical bosonic theories in flat space-time. Even
though the algebra of hidden symmetries of principal chiral models is confirmed
to include a Kac--Moody algebra (or a current algebra on a circle), it is
argued that a better interpretation is provided by a doubled current algebra on
a semi-circle (or line segment). Neither the circle nor the semi-circle bears
any apparent relationship to the physical space. For symmetric space models the
line segment viewpoint is shown to be essential, and special boundary
conditions need to be imposed at the ends. The algebra of hidden symmetries
also includes Virasoro-like generators. For both principal chiral models and
symmetric space models, the hidden symmetry stress tensor is singular at the
ends of the line segment.
|
[
{
"created": "Sat, 11 Mar 1995 19:16:38 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 1995 19:10:00 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Schwarz",
"John H.",
""
]
] |
It is well-known that principal chiral models and symmetric space models in two-dimensional Minkowski space have an infinite-dimensional algebra of hidden symmetries. Because of the relevance of symmetric space models to duality symmetries in string theory, the hidden symmetries of these models are explored in some detail. The string theory application requires including coupling to gravity, supersymmetrization, and quantum effects. However, as a first step, this paper only considers classical bosonic theories in flat space-time. Even though the algebra of hidden symmetries of principal chiral models is confirmed to include a Kac--Moody algebra (or a current algebra on a circle), it is argued that a better interpretation is provided by a doubled current algebra on a semi-circle (or line segment). Neither the circle nor the semi-circle bears any apparent relationship to the physical space. For symmetric space models the line segment viewpoint is shown to be essential, and special boundary conditions need to be imposed at the ends. The algebra of hidden symmetries also includes Virasoro-like generators. For both principal chiral models and symmetric space models, the hidden symmetry stress tensor is singular at the ends of the line segment.
|
1602.03410
|
Lavinia Heisenberg
|
Jose Beltr\'an Jim\'enez and Lavinia Heisenberg
|
Derivative self-interactions for a massive vector field
|
9 pages,minor changes, journal version
|
Phys.Lett. B757 (2016) 405-411
|
10.1016/j.physletb.2016.04.017
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we revisit the construction of theories for a massive vector
field with derivative self-interactions such that only the 3 desired
polarizations corresponding to a Proca field propagate. We start from the
decoupling limit by constructing healthy interactions containing second
derivatives of the Stueckelberg field with itself and also with the transverse
modes. The resulting interactions can then be straightforwardly generalized
beyond the decoupling limit. We then proceed to a systematic construction of
the interactions by using the Levi-Civita tensors. Both approaches lead to a
finite family of allowed derivative self-interactions for the Proca field. This
construction allows us to show that some higher order terms recently introduced
as new interactions trivialize in 4 dimensions by virtue of the Cayley-Hamilton
theorem. Moreover, we discuss how the resulting derivative interactions can be
written in a compact determinantal form, which can also be regarded as a
generalization of the Born-Infeld lagrangian for electromagnetism. Finally, we
generalize our results for a curved background and give the necessary
non-minimal couplings guaranteeing that no additional polarizations propagate
even in the presence of gravity.
|
[
{
"created": "Wed, 10 Feb 2016 15:34:26 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 2016 22:14:56 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Nov 2016 05:26:50 GMT",
"version": "v3"
}
] |
2016-11-22
|
[
[
"Jiménez",
"Jose Beltrán",
""
],
[
"Heisenberg",
"Lavinia",
""
]
] |
In this work we revisit the construction of theories for a massive vector field with derivative self-interactions such that only the 3 desired polarizations corresponding to a Proca field propagate. We start from the decoupling limit by constructing healthy interactions containing second derivatives of the Stueckelberg field with itself and also with the transverse modes. The resulting interactions can then be straightforwardly generalized beyond the decoupling limit. We then proceed to a systematic construction of the interactions by using the Levi-Civita tensors. Both approaches lead to a finite family of allowed derivative self-interactions for the Proca field. This construction allows us to show that some higher order terms recently introduced as new interactions trivialize in 4 dimensions by virtue of the Cayley-Hamilton theorem. Moreover, we discuss how the resulting derivative interactions can be written in a compact determinantal form, which can also be regarded as a generalization of the Born-Infeld lagrangian for electromagnetism. Finally, we generalize our results for a curved background and give the necessary non-minimal couplings guaranteeing that no additional polarizations propagate even in the presence of gravity.
|
0705.2200
|
Rodrigo Ferreira Sobreiro
|
R. F. Sobreiro, V. J. Vasquez Otoya
|
Effective gravity from a quantum gauge theory in Euclidean space-time
|
20 pages; Final version accepted for publication in Class.Quant.Grav
|
Class.Quant.Grav.24:4937-4953,2007
|
10.1088/0264-9381/24/20/003
| null |
hep-th gr-qc
| null |
We consider a $SO(d)$ gauge theory in an Euclidean $d$-dimensional
space-time, which is known to be renormalizable to all orders in perturbation
theory for $2\le{d}\le4$. Then, with the help of a space-time representation of
the gauge group, the gauge theory is mapped into a curved space-time with
linear connection. Further, in that mapping the gauge field plays the role of
the linear connection of the curved space-time and an effective metric tensor
arises naturally from the mapping. The obtained action, being quadratic in the
Riemann-Christoffel tensor, at a first sight, spoils a gravity interpretation
of the model. Thus, we provide a sketch of a mechanism that breaks the $SO(d)$
color invariance and generates the Einstein-Hilbert term, as well as a
cosmological constant term, allowing an interpretation of the model as a
modified gravity in the Palatini formalism. In that sense, gravity can be
visualized as an effective classical theory, originated from a well defined
quantum gauge theory. We also show that, in the four dimensional case, two
possibilities for particular solutions of the field equations are the de Sitter
and Anti de Sitter space-times.
|
[
{
"created": "Tue, 15 May 2007 17:51:39 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Aug 2007 13:42:00 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Aug 2007 10:31:04 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Sobreiro",
"R. F.",
""
],
[
"Otoya",
"V. J. Vasquez",
""
]
] |
We consider a $SO(d)$ gauge theory in an Euclidean $d$-dimensional space-time, which is known to be renormalizable to all orders in perturbation theory for $2\le{d}\le4$. Then, with the help of a space-time representation of the gauge group, the gauge theory is mapped into a curved space-time with linear connection. Further, in that mapping the gauge field plays the role of the linear connection of the curved space-time and an effective metric tensor arises naturally from the mapping. The obtained action, being quadratic in the Riemann-Christoffel tensor, at a first sight, spoils a gravity interpretation of the model. Thus, we provide a sketch of a mechanism that breaks the $SO(d)$ color invariance and generates the Einstein-Hilbert term, as well as a cosmological constant term, allowing an interpretation of the model as a modified gravity in the Palatini formalism. In that sense, gravity can be visualized as an effective classical theory, originated from a well defined quantum gauge theory. We also show that, in the four dimensional case, two possibilities for particular solutions of the field equations are the de Sitter and Anti de Sitter space-times.
|
hep-th/0205265
|
Mohammad Sheikh-Jabbari
|
Dongsu Bak, Nobuyoshi Ohta and Mohammad M. Sheikh-Jabbari
|
Supersymmetric Brane-Antibrane Systems: Matrix Model Description,
Stability and Decoupling Limits
|
23 pages, LaTeX file, no figures; v3: A point about T-duality fixed
|
JHEP 0209:048,2002
|
10.1088/1126-6708/2002/09/048
|
OU-HET 412, SU-ITP-02/20, UOSTP-02103
|
hep-th
| null |
After reviewing the supertubes and super brane-antibrane systems in the
context of matrix model, we look for more general higher-dimensional
configurations. For D3-bar{D3}, we find a non-trivial configuration with E cdot
B not equal to 0 and describe the worldvolume gauge theory. We present the
string probe of D3-bar{D3} system and study the decoupling limits leading to
either noncommutative Super-Yang-Mills or NCOS theories with eight
supercharges.
|
[
{
"created": "Sat, 25 May 2002 18:50:07 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2002 17:14:48 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Aug 2002 20:45:49 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Bak",
"Dongsu",
""
],
[
"Ohta",
"Nobuyoshi",
""
],
[
"Sheikh-Jabbari",
"Mohammad M.",
""
]
] |
After reviewing the supertubes and super brane-antibrane systems in the context of matrix model, we look for more general higher-dimensional configurations. For D3-bar{D3}, we find a non-trivial configuration with E cdot B not equal to 0 and describe the worldvolume gauge theory. We present the string probe of D3-bar{D3} system and study the decoupling limits leading to either noncommutative Super-Yang-Mills or NCOS theories with eight supercharges.
|
1909.06453
|
Matheus Fabri
|
Carlos Bercini, Matheus Fabri, Alexandre Homrich, Pedro Vieira
|
SUSY S-matrix Bootstrap and Friends
|
11 pages, 7 figures
|
Phys. Rev. D 101, 045022 (2020)
|
10.1103/PhysRevD.101.045022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the 2D S-matrix bootstrap in the presence of supersymmetry,
$\mathbb{Z}_2$ and $\mathbb{Z}_4$ symmetry. At the boundary of the allowed
S-matrix space we encounter well known integrable models such as the
supersymmetric sine-Gordon and restricted sine-Gordon models, novel elliptic
deformations thereof, as well as a two parameter family of $\mathbb{Z}_4$
elliptic S-matrices previously proposed by Zamolodchikov. We highlight an
intricate web of relations between these various S-matrices.
|
[
{
"created": "Fri, 13 Sep 2019 21:16:02 GMT",
"version": "v1"
}
] |
2020-03-04
|
[
[
"Bercini",
"Carlos",
""
],
[
"Fabri",
"Matheus",
""
],
[
"Homrich",
"Alexandre",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We consider the 2D S-matrix bootstrap in the presence of supersymmetry, $\mathbb{Z}_2$ and $\mathbb{Z}_4$ symmetry. At the boundary of the allowed S-matrix space we encounter well known integrable models such as the supersymmetric sine-Gordon and restricted sine-Gordon models, novel elliptic deformations thereof, as well as a two parameter family of $\mathbb{Z}_4$ elliptic S-matrices previously proposed by Zamolodchikov. We highlight an intricate web of relations between these various S-matrices.
|
0806.1452
|
Papantonopoulos Eleftherios
|
George Koutsoumbas, Eleftherios Papantonopoulos and George Siopsis
|
Discontinuities in Scalar Perturbations of Topological Black Holes
|
23 pages, 17 figures, published version
|
Class.Quant.Grav.26:105004,2009
|
10.1088/0264-9381/26/10/105004
| null |
hep-th astro-ph gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We study the perturbative behaviour of topological black holes. We calculate
both analytically and numerically the quasi-normal modes of scalar
perturbations. In the case of small black holes we find discontinuities of the
quasi-normal modes spectrum at the critical temperature and we argue that this
is evidence of a second-order phase transition.
|
[
{
"created": "Mon, 9 Jun 2008 13:32:27 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2009 12:36:11 GMT",
"version": "v2"
}
] |
2009-04-17
|
[
[
"Koutsoumbas",
"George",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Siopsis",
"George",
""
]
] |
We study the perturbative behaviour of topological black holes. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations. In the case of small black holes we find discontinuities of the quasi-normal modes spectrum at the critical temperature and we argue that this is evidence of a second-order phase transition.
|
1712.06641
|
S. E. Korenblit
|
S. E. Korenblit, D. V. Taychenachev and M. V. Petropavlova
|
Interpolating wave packets and composite wave functions in QFT and
neutrino oscillation problem
|
54 pages, 3 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A consistent constructive covariant description of neutrino flavour
transition amplitude in vacuum is presented. To this end a special generalized
relativistic wave packet is constructed with correct extension onto the higher
spins. This packet is uniquely defined as an `interpolating' wave packet, which
by means of relativistically invariant `width' accurately interpolates between
the states localized in momentum space and in coordinate space. The wave packet
is unambiguously determined by analytical properties of Wightman functions in
complex coordinate space naturally connected with its minimization properties.
The packet gives natural relativistic generalization of non relativistic
Gaussian wave packet but it contains covariant states of particle
(antiparticle) only with positive (negative) energy sign and propagates without
their mixing and without changing of its relativistically invariant width. For
the diagrammatic treatment of oscillation with the use of these wave packets
for external particles, the notion of covariant composite wave function for
intermediate neutrino is introduced. It strictly and naturally connects both
oscillation pictures, giving an effective language for detailed description of
this process, and resolves the problems with causality and with covariant equal
time prescription for the intermediate neutrino picture. It is closely related
to overlap function of neutrino creation/detection vertices, elucidating a
covariant meaning of the `pole integration' procedure. Their space-time
asymptotic behaviour in narrow-packets approximation naturally conforms with
such approximation of one-packet state and with the asymptotic behaviour of
oscillation amplitude. The respective overlap function is explicitly calculated
for two-packet example of pion decay vertex. Its correspondence and difference
with previous approximate calculations is analyzed.
|
[
{
"created": "Mon, 18 Dec 2017 19:36:19 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Apr 2018 08:44:13 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Jul 2020 16:31:28 GMT",
"version": "v3"
}
] |
2020-07-17
|
[
[
"Korenblit",
"S. E.",
""
],
[
"Taychenachev",
"D. V.",
""
],
[
"Petropavlova",
"M. V.",
""
]
] |
A consistent constructive covariant description of neutrino flavour transition amplitude in vacuum is presented. To this end a special generalized relativistic wave packet is constructed with correct extension onto the higher spins. This packet is uniquely defined as an `interpolating' wave packet, which by means of relativistically invariant `width' accurately interpolates between the states localized in momentum space and in coordinate space. The wave packet is unambiguously determined by analytical properties of Wightman functions in complex coordinate space naturally connected with its minimization properties. The packet gives natural relativistic generalization of non relativistic Gaussian wave packet but it contains covariant states of particle (antiparticle) only with positive (negative) energy sign and propagates without their mixing and without changing of its relativistically invariant width. For the diagrammatic treatment of oscillation with the use of these wave packets for external particles, the notion of covariant composite wave function for intermediate neutrino is introduced. It strictly and naturally connects both oscillation pictures, giving an effective language for detailed description of this process, and resolves the problems with causality and with covariant equal time prescription for the intermediate neutrino picture. It is closely related to overlap function of neutrino creation/detection vertices, elucidating a covariant meaning of the `pole integration' procedure. Their space-time asymptotic behaviour in narrow-packets approximation naturally conforms with such approximation of one-packet state and with the asymptotic behaviour of oscillation amplitude. The respective overlap function is explicitly calculated for two-packet example of pion decay vertex. Its correspondence and difference with previous approximate calculations is analyzed.
|
hep-th/0607178
|
Wen-Yu Wen
|
Toshihiro Matsuo, Dan Tomino, and Wen-Yu Wen
|
Drag force in SYM plasma with B field from AdS/CFT
|
13 pages, 2 figures, more discussion and reference added
|
JHEP0610:055,2006
|
10.1088/1126-6708/2006/10/055
| null |
hep-th hep-ph
| null |
We investigate drag force in a thermal plasma of N=4 super Yang-Mills theory
via both fundamental and Dirichlet strings under the influence of non-zero NSNS
$B$-field background. In the description of AdS/CFT correspondence the endpoint
of these strings correspondes to an external monopole or quark moving with a
constant electromagnetic field. We demonstrate how the configuration of string
tail as well as the drag force obtains corrections in this background.
|
[
{
"created": "Mon, 24 Jul 2006 18:04:34 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Aug 2006 08:09:59 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Matsuo",
"Toshihiro",
""
],
[
"Tomino",
"Dan",
""
],
[
"Wen",
"Wen-Yu",
""
]
] |
We investigate drag force in a thermal plasma of N=4 super Yang-Mills theory via both fundamental and Dirichlet strings under the influence of non-zero NSNS $B$-field background. In the description of AdS/CFT correspondence the endpoint of these strings correspondes to an external monopole or quark moving with a constant electromagnetic field. We demonstrate how the configuration of string tail as well as the drag force obtains corrections in this background.
|
hep-th/0110034
|
Daniel Waldram
|
Jerome P. Gauntlett, Nakwoo Kim, Dario Martelli, Daniel Waldram
|
Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
|
v2: 26 pages, 3 figures, 1 table. Section 7 slightly expanded,
references added
|
JHEP 0111:018,2001
|
10.1088/1126-6708/2001/11/018
|
QMUL-PH-01-10
|
hep-th
| null |
We construct ten-dimensional supergravity solutions corresponding to the near
horizon limit of IIB fivebranes wrapping special Lagrangian three-cycles of
constant curvature. The case of branes wrapping a three-sphere provides a
gravity dual of pure N=2 super-Yang-Mills theory in D=3. The non-trivial part
of the solutions are seven manifolds that admit two G_2 structures each of
which is covariantly constant with respect to a different connection with
torsion. We derive a formula for the generalised calibration for this general
class of solutions. We discuss analogous aspects of the geometry that arises
when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and
SU(N) structures. In some cases there are two covariantly constant structures
and in others one.
|
[
{
"created": "Wed, 3 Oct 2001 17:09:59 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2001 17:00:37 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Martelli",
"Dario",
""
],
[
"Waldram",
"Daniel",
""
]
] |
We construct ten-dimensional supergravity solutions corresponding to the near horizon limit of IIB fivebranes wrapping special Lagrangian three-cycles of constant curvature. The case of branes wrapping a three-sphere provides a gravity dual of pure N=2 super-Yang-Mills theory in D=3. The non-trivial part of the solutions are seven manifolds that admit two G_2 structures each of which is covariantly constant with respect to a different connection with torsion. We derive a formula for the generalised calibration for this general class of solutions. We discuss analogous aspects of the geometry that arises when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and SU(N) structures. In some cases there are two covariantly constant structures and in others one.
|
hep-th/0103212
|
Sedra
|
M.Rachidi, E.H.Saidi and J.Zerouaoui
|
On the Generalized Exclusion Statistics
|
13 pages, Latex. To be submitted to Journal of Math. Phys
| null | null | null |
hep-th
| null |
We review the principal steps leading to drive the wave function $\psi
_{\{k_1,k_2,...,k_N \}}(1,2,...,N)$ of a gaz of $N$ identical particle states
with exotic statistics. For spins $s=1/M$ $mod(1)$, we show that the
quasideterminant conjectured in [19], by using $2d$ conformal field theoretical
methods, is indeed related to the quantum determinant of noncommutative
geometry. The q-number $[N]!=\prod_{n=1}^N(\sum_{j=0}^{N-1} q^j)$ carrying the
effect of the generalized Pauli exclusion principle, according to which no more
than $(M-1)$ identical particles of spin $s=1/M$ $mod(1)$ can live altogether
on the same quantum state, is rederived in rigourous from the q-antisymmetry.
Other features are also given.
|
[
{
"created": "Mon, 26 Mar 2001 18:42:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rachidi",
"M.",
""
],
[
"Saidi",
"E. H.",
""
],
[
"Zerouaoui",
"J.",
""
]
] |
We review the principal steps leading to drive the wave function $\psi _{\{k_1,k_2,...,k_N \}}(1,2,...,N)$ of a gaz of $N$ identical particle states with exotic statistics. For spins $s=1/M$ $mod(1)$, we show that the quasideterminant conjectured in [19], by using $2d$ conformal field theoretical methods, is indeed related to the quantum determinant of noncommutative geometry. The q-number $[N]!=\prod_{n=1}^N(\sum_{j=0}^{N-1} q^j)$ carrying the effect of the generalized Pauli exclusion principle, according to which no more than $(M-1)$ identical particles of spin $s=1/M$ $mod(1)$ can live altogether on the same quantum state, is rederived in rigourous from the q-antisymmetry. Other features are also given.
|
hep-th/0608095
|
Tonnis ter Veldhuis
|
T.E. Clark, Muneto Nitta, T. ter Veldhuis
|
Domain Walls, The Extended Superconformal Algebra, and The Supercurrent
|
37 pages
|
Nucl.Phys.B776:66-92,2007
|
10.1016/j.nuclphysb.2007.02.006
| null |
hep-th
| null |
The presence of a domain wall is shown to require a tensorial central charge
extension of the superconformal algebra. The currents associated with the
conformal central charges are constructed as spacetime moments of the SUSY
tensorial central charge current. The supercurrent is obtained and it contains
the R symmetry current, the SUSY spinor currents, the energy-momentum tensor
and the SUSY tensorial central charge currents as its component currents. All
tensorial central charge extended superconformal currents are constructed from
the supercurrent. The superconformal currents' and the conformal tensorial
central charge currents' (non-)conservation equations are expressed in terms of
the generalized trace of the supercurrent. It is argued that although the SUSY
tensorial central charges are uncorrected, the conformal tensorial central
charges receive radiative corrections.
|
[
{
"created": "Tue, 15 Aug 2006 00:31:47 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Clark",
"T. E.",
""
],
[
"Nitta",
"Muneto",
""
],
[
"ter Veldhuis",
"T.",
""
]
] |
The presence of a domain wall is shown to require a tensorial central charge extension of the superconformal algebra. The currents associated with the conformal central charges are constructed as spacetime moments of the SUSY tensorial central charge current. The supercurrent is obtained and it contains the R symmetry current, the SUSY spinor currents, the energy-momentum tensor and the SUSY tensorial central charge currents as its component currents. All tensorial central charge extended superconformal currents are constructed from the supercurrent. The superconformal currents' and the conformal tensorial central charge currents' (non-)conservation equations are expressed in terms of the generalized trace of the supercurrent. It is argued that although the SUSY tensorial central charges are uncorrected, the conformal tensorial central charges receive radiative corrections.
|
2407.07034
|
Ioannis Florakis
|
Ioannis Florakis and John Rizos
|
Free Fermionic Constructions of Heterotic Strings
|
50 pages, Invited chapter for "Handbook of Quantum Gravity" (Eds. C.
Bambi, L. Modesto, and I. L. Shapiro, Springer 2023)
| null |
10.1007/978-981-19-3079-9_112-1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This chapter is an introduction to the Free Fermionic Formulation of String
Theory, with emphasis on heterotic model building. After a brief review of
bosonization in two dimensional conformal field theories, we discuss how
internal bosonic string coordinates can be consistently replaced by free
fermionic degrees of freedom. In this framework, worldsheet supersymmetry may
be realized entirely among free fermions. Embedding this construction into
string theory leads to a number of constraints arising from modular invariance
at one and higher genera. The solution of these constraints takes the form of a
small number of model building rules from which the string spectrum and
interactions may be analyzed. We review some of the most well-studied models in
the literature and their classification, with emphasis on the symmetric basis.
The explicit map of free fermionic models to the orbifold construction is
presented in some detail.
|
[
{
"created": "Tue, 9 Jul 2024 16:52:15 GMT",
"version": "v1"
}
] |
2024-07-10
|
[
[
"Florakis",
"Ioannis",
""
],
[
"Rizos",
"John",
""
]
] |
This chapter is an introduction to the Free Fermionic Formulation of String Theory, with emphasis on heterotic model building. After a brief review of bosonization in two dimensional conformal field theories, we discuss how internal bosonic string coordinates can be consistently replaced by free fermionic degrees of freedom. In this framework, worldsheet supersymmetry may be realized entirely among free fermions. Embedding this construction into string theory leads to a number of constraints arising from modular invariance at one and higher genera. The solution of these constraints takes the form of a small number of model building rules from which the string spectrum and interactions may be analyzed. We review some of the most well-studied models in the literature and their classification, with emphasis on the symmetric basis. The explicit map of free fermionic models to the orbifold construction is presented in some detail.
|
hep-th/9604160
| null |
Ivan G. Avramidi (University of Greifswald)
|
A model of stable chromomagnetic vacuum in higher-dimensional Yang-Mills
theory
|
33 pages, LaTeX, 58 KB, 3 figures (bezier style)
|
Fortsch.Phys. 47 (1999) 433-455
|
10.1002/(SICI)1521-3978(199904)47:4<433::AID-PROP433>3.0.CO;2-G
|
University of Greifswald (April, 1996)
|
hep-th
| null |
We study the effective action in Euclidean Yang-Mills theory with a compact
simple gauge group in one-loop approximation assuming a covariantly constant
gauge field strength as a background. For groups of higher rank and spacetimes
of higher dimensions such field configurations have many independent color
components taking values in Cartan subalgebra and many ``magnetic fields'' in
each color component. In our previous investigation it was shown that such
background is stable in dimensions higher than four provided the amplitudes of
``magnetic fields'' do not differ much from each other. In present paper we
calculate exactly the relevant zeta-functions in the case of equal amplitudes
of ``magnetic fields''. For the case of two ``magnetic fields'' with equal
amplitudes the behavior of the effective action is studied in detail. It is
shown that in dimensions $d=4,5,6,7$ $({\rm mod}\, 8)$, the perturbative vacuum
is metastable, i.e., it is stable in perturbation theory but the effective
action is not bounded from below, whereas in dimensions $d=9,10,11$ $({\rm
mod}\, 8)$ the perturbative vacuum is absolutely stable. In dimensions $d=8$
$({\rm mod}\, 8)$ the perturbative vacuum is stable for small values of
coupling constant but becomes unstable for large coupling constant leading to
the formation of a non-perturbative stable vacuum with nonvanishing ``magnetic
fields''. The critical value of the coupling constant and the amplitudes of the
vacuum ``magnetic fields'' are evaluated exactly.
|
[
{
"created": "Thu, 25 Apr 1996 10:50:19 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Avramidi",
"Ivan G.",
"",
"University of Greifswald"
]
] |
We study the effective action in Euclidean Yang-Mills theory with a compact simple gauge group in one-loop approximation assuming a covariantly constant gauge field strength as a background. For groups of higher rank and spacetimes of higher dimensions such field configurations have many independent color components taking values in Cartan subalgebra and many ``magnetic fields'' in each color component. In our previous investigation it was shown that such background is stable in dimensions higher than four provided the amplitudes of ``magnetic fields'' do not differ much from each other. In present paper we calculate exactly the relevant zeta-functions in the case of equal amplitudes of ``magnetic fields''. For the case of two ``magnetic fields'' with equal amplitudes the behavior of the effective action is studied in detail. It is shown that in dimensions $d=4,5,6,7$ $({\rm mod}\, 8)$, the perturbative vacuum is metastable, i.e., it is stable in perturbation theory but the effective action is not bounded from below, whereas in dimensions $d=9,10,11$ $({\rm mod}\, 8)$ the perturbative vacuum is absolutely stable. In dimensions $d=8$ $({\rm mod}\, 8)$ the perturbative vacuum is stable for small values of coupling constant but becomes unstable for large coupling constant leading to the formation of a non-perturbative stable vacuum with nonvanishing ``magnetic fields''. The critical value of the coupling constant and the amplitudes of the vacuum ``magnetic fields'' are evaluated exactly.
|
1807.02090
|
Fabrizio Canfora
|
Fabrizio Canfora
|
Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions
at finite density
|
19 pages, 2 figures. A detailed discussion of the Baryon density
distribution has ben included (the title has been changed accordingly). The
comparison with the rational map approach has been included as well (together
with relevant references). This version has been accepted for publication on
EUROPEAN PHYSICAL JOURNAL C
| null |
10.1140/epjc/s10052-018-6404-x
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A consistent ansatz for the Skyrme model in (3+1)-dimensions which is able to
reduce the complete set of Skyrme field equations to just one equation for the
profile in situations in which the Baryon charge can be arbitrary large is
introduced: moreover, the field equation for the profile can be solved
explicitly. Such configurations describe ordered arrays of Baryonic tubes
living in flat space-times at finite density. The plots of the energy density
(as well as of the Baryon density) clearly show that the regions of maximal
energy density have the shape of a tube: the energy density and the Baryon
density depend periodically on two spatial directions while they are constant
in the third spatial direction. Thus, these topologically non-trivial
crystal-like solutions can be intepreted as configurations in which most of the
energy density and the baryon density are concentrated within tube-shaped
regions. The positions of the energy-density peaks can be computed explicitly
and they manifest a clear crystalline order. A non-trivial stability test is
discussed.
|
[
{
"created": "Thu, 5 Jul 2018 17:15:41 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jul 2018 12:00:22 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Oct 2018 18:56:13 GMT",
"version": "v3"
}
] |
2018-12-05
|
[
[
"Canfora",
"Fabrizio",
""
]
] |
A consistent ansatz for the Skyrme model in (3+1)-dimensions which is able to reduce the complete set of Skyrme field equations to just one equation for the profile in situations in which the Baryon charge can be arbitrary large is introduced: moreover, the field equation for the profile can be solved explicitly. Such configurations describe ordered arrays of Baryonic tubes living in flat space-times at finite density. The plots of the energy density (as well as of the Baryon density) clearly show that the regions of maximal energy density have the shape of a tube: the energy density and the Baryon density depend periodically on two spatial directions while they are constant in the third spatial direction. Thus, these topologically non-trivial crystal-like solutions can be intepreted as configurations in which most of the energy density and the baryon density are concentrated within tube-shaped regions. The positions of the energy-density peaks can be computed explicitly and they manifest a clear crystalline order. A non-trivial stability test is discussed.
|
2312.07181
|
Keiya Ishiguro
|
Keiya Ishiguro, Satsuki Nishimura, Hajime Otsuka
|
Autoencoder-Driven Clustering of Intersecting D-brane Models via Tadpole
Charge
|
41 pages, 57 figures
| null | null |
KEK-TH-2583, KYUSHU-HET-276
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the well-known type IIA intersecting D-brane models on the
$T^6/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$ orientifold via a machine-learning
approach. We apply several autoencoder models with and without positional
encoding to the D6-brane configurations satisfying certain concrete models
described in arXiv:hep-th/0510170 and attempt to extract some features which
the configurations possess. We observe that the configurations cluster in
two-dimensional latent layers of the autoencoder models and analyze which
physical quantities are relevant to the clustering. As a result, it is found
that tadpole charges of hidden D6-branes characterize the clustering. We expect
that there is another important factor because a checkerboard pattern in
two-dimensional latent layers is observed in the clustering.
|
[
{
"created": "Tue, 12 Dec 2023 11:31:33 GMT",
"version": "v1"
}
] |
2023-12-13
|
[
[
"Ishiguro",
"Keiya",
""
],
[
"Nishimura",
"Satsuki",
""
],
[
"Otsuka",
"Hajime",
""
]
] |
We study the well-known type IIA intersecting D-brane models on the $T^6/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$ orientifold via a machine-learning approach. We apply several autoencoder models with and without positional encoding to the D6-brane configurations satisfying certain concrete models described in arXiv:hep-th/0510170 and attempt to extract some features which the configurations possess. We observe that the configurations cluster in two-dimensional latent layers of the autoencoder models and analyze which physical quantities are relevant to the clustering. As a result, it is found that tadpole charges of hidden D6-branes characterize the clustering. We expect that there is another important factor because a checkerboard pattern in two-dimensional latent layers is observed in the clustering.
|
hep-th/9504038
|
Kirill N. Ilinski
|
Ilinski, G.V.Kalinin, V.S.Kapitonov
|
Exchange statistics in 1D: from the viewpoint of exact solution
|
A few formulae are corrected. A new formula for the generation
function is added
| null | null | null |
hep-th cond-mat math.QA q-alg
| null |
We show that the exchange statistics have consequences in 1D systems with
compact topology, contrary to the common opinion that exchange statistics is
arbitrary in 1D. As examples of non-trivial statistical behavior we exactly
calculate the partition function and correlators for systems of free
q-particles on compactified chains using functional integral techniques and the
supersymmetric trick. In particular we consider a spin 1/2 XY-chain with
periodic boundary conditions that corresponds to the case of q=-1.
|
[
{
"created": "Fri, 7 Apr 1995 13:26:12 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 1995 14:35:05 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Ilinski",
"",
""
],
[
"Kalinin",
"G. V.",
""
],
[
"Kapitonov",
"V. S.",
""
]
] |
We show that the exchange statistics have consequences in 1D systems with compact topology, contrary to the common opinion that exchange statistics is arbitrary in 1D. As examples of non-trivial statistical behavior we exactly calculate the partition function and correlators for systems of free q-particles on compactified chains using functional integral techniques and the supersymmetric trick. In particular we consider a spin 1/2 XY-chain with periodic boundary conditions that corresponds to the case of q=-1.
|
0903.4114
|
Yuri Makeenko
|
Yuri Makeenko and Poul Olesen
|
Wilson Loops and QCD/String Scattering Amplitudes
|
39pp., Latex, no figures; v2: typos corrected; v3: final, to appear
in PRD
|
Phys.Rev.D80:026002,2009
|
10.1103/PhysRevD.80.026002
|
ITEP-TH-13/09
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize modern ideas about the duality between Wilson loops and
scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a
general relation between QCD meson scattering amplitudes and Wilson loops. We
then investigate properties of the open-string disk amplitude integrated over
reparametrizations. When the Wilson loop is approximated by the area behavior,
we find that the QCD scattering amplitude is a convolution of the standard
Koba-Nielsen integrand and a kernel. As usual poles originate from the first
factor, whereas no (momentum dependent) poles can arise from the kernel. We
show that the kernel becomes a constant when the number of external particles
becomes large. The usual Veneziano amplitude then emerges in the kinematical
regime where the Wilson loop can be reliably approximated by the area behavior.
In this case we obtain a direct duality between Wilson loops and scattering
amplitudes when spatial variables and momenta are interchanged, in analogy with
the $\cal N$=4 SYM case.
|
[
{
"created": "Tue, 24 Mar 2009 16:29:49 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Apr 2009 16:24:57 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jun 2009 06:38:21 GMT",
"version": "v3"
}
] |
2013-05-29
|
[
[
"Makeenko",
"Yuri",
""
],
[
"Olesen",
"Poul",
""
]
] |
We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate properties of the open-string disk amplitude integrated over reparametrizations. When the Wilson loop is approximated by the area behavior, we find that the QCD scattering amplitude is a convolution of the standard Koba-Nielsen integrand and a kernel. As usual poles originate from the first factor, whereas no (momentum dependent) poles can arise from the kernel. We show that the kernel becomes a constant when the number of external particles becomes large. The usual Veneziano amplitude then emerges in the kinematical regime where the Wilson loop can be reliably approximated by the area behavior. In this case we obtain a direct duality between Wilson loops and scattering amplitudes when spatial variables and momenta are interchanged, in analogy with the $\cal N$=4 SYM case.
|
2106.12874
|
Andrzej Borowiec
|
A. Borowiec, J. Kowalski-Glikman, J. Unger
|
3-dimensional $\Lambda$-BMS Symmetry and its Deformations
|
38 pages, revised and extended version, matching JHEP publication.
New section discusses centrally extended algebra
| null |
10.1007/JHEP11(2021)103
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we study quantum group deformations of the infinite dimensional
symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building
on previous results in the finite dimensional subalgebras we classify all
possible Lie bialgebra structures and for selected examples, we explicitly
construct the related Hopf algebras. Using cohomological arguments we show that
this construction can always be performed by a so-called twist deformation. The
resulting structures can be compared to the well-known $\kappa$-Poincar\'e Hopf
algebras constructed on the finite dimensional Poincar\'e or (anti) de Sitter
algebra. The dual $\kappa$ Minkowski spacetime is supposed to describe a
specific non-commutative geometry. Importantly, we find that some incarnations
of the $\kappa$-Poincar\'e can not be extended consistently to the infinite
dimensional algebras. Furthermore, certain deformations can have potential
physical applications if subalgebras are considered. Since the conserved
charges associated with asymptotic symmetries in 3-dimensional form a centrally
extended algebra we also discuss briefly deformations of such algebras. The
presence of the full symmetry algebra might have observable consequences that
could be used to rule out these deformations. }
|
[
{
"created": "Thu, 24 Jun 2021 10:15:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2021 14:59:28 GMT",
"version": "v2"
}
] |
2021-12-01
|
[
[
"Borowiec",
"A.",
""
],
[
"Kowalski-Glikman",
"J.",
""
],
[
"Unger",
"J.",
""
]
] |
In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra structures and for selected examples, we explicitly construct the related Hopf algebras. Using cohomological arguments we show that this construction can always be performed by a so-called twist deformation. The resulting structures can be compared to the well-known $\kappa$-Poincar\'e Hopf algebras constructed on the finite dimensional Poincar\'e or (anti) de Sitter algebra. The dual $\kappa$ Minkowski spacetime is supposed to describe a specific non-commutative geometry. Importantly, we find that some incarnations of the $\kappa$-Poincar\'e can not be extended consistently to the infinite dimensional algebras. Furthermore, certain deformations can have potential physical applications if subalgebras are considered. Since the conserved charges associated with asymptotic symmetries in 3-dimensional form a centrally extended algebra we also discuss briefly deformations of such algebras. The presence of the full symmetry algebra might have observable consequences that could be used to rule out these deformations. }
|
hep-th/9910098
|
Amanda W. Peet
|
A. W. Peet
|
Baldness/delocalization in intersecting brane systems
|
LaTeX, 10 pages, 1 figure; contribution to Strings'99 proceedings
|
Class.Quant.Grav.17:1235-1243,2000
|
10.1088/0264-9381/17/5/332
|
NSF-ITP-99-117
|
hep-th
| null |
Marginally bound systems of two types of branes are considered, such as the
prototypical case of Dp+4 branes and Dp branes. As the transverse separation
between the two types of branes goes to zero, different behaviour occurs in the
supergravity solutions depending on p; no-hair theorems result for p<=1 only.
Within the framework of the AdS/CFT correspondence, these supergravity no-hair
results are understood as dual manifestations of the Coleman-Mermin-Wagner
theorem. Furthermore, the rates of delocalization for p<=1 are matched in a
scaling analysis. Talk given at ``Strings '99''; based on hep-th/9903213 with
D. Marolf.
|
[
{
"created": "Tue, 12 Oct 1999 18:28:07 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Peet",
"A. W.",
""
]
] |
Marginally bound systems of two types of branes are considered, such as the prototypical case of Dp+4 branes and Dp branes. As the transverse separation between the two types of branes goes to zero, different behaviour occurs in the supergravity solutions depending on p; no-hair theorems result for p<=1 only. Within the framework of the AdS/CFT correspondence, these supergravity no-hair results are understood as dual manifestations of the Coleman-Mermin-Wagner theorem. Furthermore, the rates of delocalization for p<=1 are matched in a scaling analysis. Talk given at ``Strings '99''; based on hep-th/9903213 with D. Marolf.
|
0908.0520
|
Andrei Belitsky
|
M. Beccaria, A.V. Belitsky, A.V. Kotikov, S. Zieme
|
Analytic solution of the multiloop Baxter equation
|
44 pages, v2: references added and typos fixed
|
Nucl.Phys.B827:565-606,2010
|
10.1016/j.nuclphysb.2009.10.030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The spectrum of anomalous dimensions of gauge-invariant operators in
maximally supersymmetric Yang-Mills theory is believed to be described by a
long-range integrable spin chain model. We focus in this study on its $sl(2)$
subsector spanned by the twist-two single-trace Wilson operators, which are
shared by all gauge theories, supersymmetric or not. We develop a formalism for
the solution of the perturbative multiloop Baxter equation encoding their
anomalous dimensions, using Wilson polynomials as basis functions and Mellin
transform technique. These considerations yield compact results which allow
analytical calculations of multiloop anomalous dimensions bypassing the use of
the principle of maximal transcendentality. As an application of our method we
analytically confirm the known four-loop result. We also determine the dressing
part of the five-loop anomalous dimensions.
|
[
{
"created": "Tue, 4 Aug 2009 19:23:10 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 2009 16:16:41 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Beccaria",
"M.",
""
],
[
"Belitsky",
"A. V.",
""
],
[
"Kotikov",
"A. V.",
""
],
[
"Zieme",
"S.",
""
]
] |
The spectrum of anomalous dimensions of gauge-invariant operators in maximally supersymmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its $sl(2)$ subsector spanned by the twist-two single-trace Wilson operators, which are shared by all gauge theories, supersymmetric or not. We develop a formalism for the solution of the perturbative multiloop Baxter equation encoding their anomalous dimensions, using Wilson polynomials as basis functions and Mellin transform technique. These considerations yield compact results which allow analytical calculations of multiloop anomalous dimensions bypassing the use of the principle of maximal transcendentality. As an application of our method we analytically confirm the known four-loop result. We also determine the dressing part of the five-loop anomalous dimensions.
|
1606.06141
|
Xian Gao
|
Xian Gao and Lavinia Heisenberg
|
Doubly coupled matter fields in massive bigravity
|
17 pages. arXiv admin note: text overlap with arXiv:1601.02180
|
Chinese Physics C Vol. 42, No. 7 (2018) 075101
|
10.1088/1674-1137/42/7/075101
|
RESCEU-22/16
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of massive (bi-)gravity non-minimal matter couplings have been
proposed. These couplings are special in the sense that they are free of the
Boulware-Deser ghost below the strong coupling scale and can be used
consistently as an effective field theory. Furthermore, they enrich the
phenomenology of massive gravity. We consider these couplings in the framework
of bimetric gravity and study the cosmological implications for background and
linear tensor, vector, and scalar perturbations. Previous works have
investigated special branch of solutions. Here we perform a complete
perturbation analysis for the general background equations of motion completing
previous analysis.
|
[
{
"created": "Mon, 20 Jun 2016 14:34:52 GMT",
"version": "v1"
}
] |
2018-06-18
|
[
[
"Gao",
"Xian",
""
],
[
"Heisenberg",
"Lavinia",
""
]
] |
In the context of massive (bi-)gravity non-minimal matter couplings have been proposed. These couplings are special in the sense that they are free of the Boulware-Deser ghost below the strong coupling scale and can be used consistently as an effective field theory. Furthermore, they enrich the phenomenology of massive gravity. We consider these couplings in the framework of bimetric gravity and study the cosmological implications for background and linear tensor, vector, and scalar perturbations. Previous works have investigated special branch of solutions. Here we perform a complete perturbation analysis for the general background equations of motion completing previous analysis.
|
0801.1284
|
Julieta Medina
|
Julieta Medina
|
Fuzzy Scalar Field Theories: Numerical and Analytical Investigations
|
Phd thesis, 185 pages
| null | null | null |
hep-th
| null |
This thesis is devoted to the study of Quantum Field Theories (QFT) on fuzzy
spaces. Fuzzy spaces are approximations to the algebra of functions of a
continuous space by a finite matrix algebra. In the limit of infinitely large
matrices the formulation is exact. An attractive feature of this approach is
that it transparently shows how the geometrical properties of the continuous
space are preserved. In the study of the non-perturbative regime of QFT, fuzzy
spaces provide a possible alternative to the lattice as a regularisation
method. The thesis is divided into two parts. We perform Monte Carlo
simulations of a $\lambda \phi^4$ theory on a 3-dimensional Euclidean space. We
identify the phase diagram of this model. In addition to the usual disordered
and uniform ordered phases we find a third phase of non-uniform ordering. This
indicates the existence of the phenomenon called UV-IR mixing in the strong
coupling regime. Second we present a geometrical analysis of the scalar field
theory on a 4-dimensional fuzzy sphere, S4_F. Nevertheless a fuzzy version of
S4 cannot be achieved by quantisation of the classical space. The problem is
circumvented by defining a scalar theory on a larger space, CP3 which is
6-dimensional. It includes degrees of freedom related to S^4 plus others beyond
S4. Those extra degrees of freedom are dynamically suppressed through a
probabilistic method. The analysis of the geometrical structures allows us to
interpret this procedure as a Kaluza-Klein reduction of CP3 to S4.
|
[
{
"created": "Tue, 8 Jan 2008 16:41:01 GMT",
"version": "v1"
}
] |
2008-01-09
|
[
[
"Medina",
"Julieta",
""
]
] |
This thesis is devoted to the study of Quantum Field Theories (QFT) on fuzzy spaces. Fuzzy spaces are approximations to the algebra of functions of a continuous space by a finite matrix algebra. In the limit of infinitely large matrices the formulation is exact. An attractive feature of this approach is that it transparently shows how the geometrical properties of the continuous space are preserved. In the study of the non-perturbative regime of QFT, fuzzy spaces provide a possible alternative to the lattice as a regularisation method. The thesis is divided into two parts. We perform Monte Carlo simulations of a $\lambda \phi^4$ theory on a 3-dimensional Euclidean space. We identify the phase diagram of this model. In addition to the usual disordered and uniform ordered phases we find a third phase of non-uniform ordering. This indicates the existence of the phenomenon called UV-IR mixing in the strong coupling regime. Second we present a geometrical analysis of the scalar field theory on a 4-dimensional fuzzy sphere, S4_F. Nevertheless a fuzzy version of S4 cannot be achieved by quantisation of the classical space. The problem is circumvented by defining a scalar theory on a larger space, CP3 which is 6-dimensional. It includes degrees of freedom related to S^4 plus others beyond S4. Those extra degrees of freedom are dynamically suppressed through a probabilistic method. The analysis of the geometrical structures allows us to interpret this procedure as a Kaluza-Klein reduction of CP3 to S4.
|
hep-th/0310093
|
Jean Alexandre
|
Jean Alexandre
|
An alternative approach to dynamical mass generation in QED3
| null |
Annals Phys. 312 (2004) 273
|
10.1016/j.aop.2004.03.005
| null |
hep-th hep-ph
| null |
Some quantum properties of QED3 are studied with the help of an exact
evolution equation of the effective action with the bare fermion mass. The
resulting effective theory and the occurrence of a dynamical mass are discussed
in the framework of the gradient expansion.
|
[
{
"created": "Thu, 9 Oct 2003 12:07:08 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Alexandre",
"Jean",
""
]
] |
Some quantum properties of QED3 are studied with the help of an exact evolution equation of the effective action with the bare fermion mass. The resulting effective theory and the occurrence of a dynamical mass are discussed in the framework of the gradient expansion.
|
hep-th/9906022
|
Raphael Bousso
|
Raphael Bousso (Stanford)
|
Holography in General Space-times
|
30 pages, 8 figures. v2: references added
|
JHEP 9906 (1999) 028
|
10.1088/1126-6708/1999/06/028
|
SU-ITP-99-24
|
hep-th astro-ph gr-qc
| null |
We provide a background-independent formulation of the holographic principle.
It permits the construction of embedded hypersurfaces (screens) on which the
entire bulk information can be stored at a density of no more than one bit per
Planck area. Screens are constructed explicitly for AdS, Minkowski, and de
Sitter spaces with and without black holes, and for cosmological solutions. The
properties of screens provide clues about the character of a manifestly
holographic theory.
|
[
{
"created": "Thu, 3 Jun 1999 23:45:13 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jun 1999 07:10:50 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Bousso",
"Raphael",
"",
"Stanford"
]
] |
We provide a background-independent formulation of the holographic principle. It permits the construction of embedded hypersurfaces (screens) on which the entire bulk information can be stored at a density of no more than one bit per Planck area. Screens are constructed explicitly for AdS, Minkowski, and de Sitter spaces with and without black holes, and for cosmological solutions. The properties of screens provide clues about the character of a manifestly holographic theory.
|
0906.1471
|
Motomu Tsuda
|
Kazunari Shima, Motomu Tsuda
|
On gauge coupling constant in linearization of nonlinear supersymmetry
|
17 pages
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study in two space-time dimensions (d = 2) the relation between N = 2
supersymmetric (SUSY) QED theory and N = 2 nonlinear (NL) SUSY model by
linearizing N = 2 NLSUSY generally based upon the fundamental notions of the
basic theory. We find a remarkable mechanism which determines theoretically the
magnitude of the bare gauge coupling constant from the general structure of
auxiliary fields. We show explicitly in d = 2 that the NL/linear SUSY relation
(i.e. a SUSY compositeness condition for all particles) determines the
magnitude of the bare electromagnetic coupling constant (i.e. the fine
structure constant) of N = 2 SUSY QED.
|
[
{
"created": "Mon, 8 Jun 2009 11:43:15 GMT",
"version": "v1"
}
] |
2009-06-09
|
[
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] |
We study in two space-time dimensions (d = 2) the relation between N = 2 supersymmetric (SUSY) QED theory and N = 2 nonlinear (NL) SUSY model by linearizing N = 2 NLSUSY generally based upon the fundamental notions of the basic theory. We find a remarkable mechanism which determines theoretically the magnitude of the bare gauge coupling constant from the general structure of auxiliary fields. We show explicitly in d = 2 that the NL/linear SUSY relation (i.e. a SUSY compositeness condition for all particles) determines the magnitude of the bare electromagnetic coupling constant (i.e. the fine structure constant) of N = 2 SUSY QED.
|
hep-th/0207187
|
Marek Rogatko
|
Marek Rogatko
|
Uniqueness Theorem for Static Black Hole Solutions of sigma-models in
Higher Dimensions
|
5 peges, Revtex, to be published in Class.Quantum Grav
|
Class.Quant.Grav. 19 (2002) L151
|
10.1088/0264-9381/19/15/102
| null |
hep-th gr-qc
| null |
We prove the uniqueness theorem for self-gravitating non-linear sigma-models
in higher dimensional spacetime. Applying the positive mass theorem we show
that Schwarzschild-Tagherlini spacetime is the only maximally extended, static
asymptotically flat solution with non-rotating regular event horizon with a
constant mapping.
|
[
{
"created": "Sat, 20 Jul 2002 11:48:42 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Rogatko",
"Marek",
""
]
] |
We prove the uniqueness theorem for self-gravitating non-linear sigma-models in higher dimensional spacetime. Applying the positive mass theorem we show that Schwarzschild-Tagherlini spacetime is the only maximally extended, static asymptotically flat solution with non-rotating regular event horizon with a constant mapping.
|
hep-th/9305119
|
Loic Turban
|
L. Turban, B. Berche (Henri Poincare Universty, Nancy)
|
Marginal Extended Perturbations in Two Dimensions and Gap-Exponent
Relations
|
11 pages, Plain TeX, epsf
|
J.Phys.A26:3131-3142,1993
|
10.1088/0305-4470/26/13/017
| null |
hep-th cond-mat
| null |
The most general form of a marginal extended perturbation in a
two-dimensional system is deduced from scaling considerations. It includes as
particular cases extended perturbations decaying either from a surface, a line
or a point for which exact results have been previously obtained. The
first-order corrections to the local exponents, which are functions of the
amplitude of the defect, are deduced from a perturbation expansion of the
two-point correlation functions. Assuming covariance under conformal
transformation, the perturbed system is mapped onto a cylinder. Working in the
Hamiltonian limit, the first-order corrections to the lowest gaps are
calculated for the Ising model. The results confirm the validity of the
gap-exponent relations for the perturbed system.
|
[
{
"created": "Mon, 24 May 1993 14:21:54 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Sep 1997 13:40:45 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Turban",
"L.",
"",
"Henri Poincare Universty, Nancy"
],
[
"Berche",
"B.",
"",
"Henri Poincare Universty, Nancy"
]
] |
The most general form of a marginal extended perturbation in a two-dimensional system is deduced from scaling considerations. It includes as particular cases extended perturbations decaying either from a surface, a line or a point for which exact results have been previously obtained. The first-order corrections to the local exponents, which are functions of the amplitude of the defect, are deduced from a perturbation expansion of the two-point correlation functions. Assuming covariance under conformal transformation, the perturbed system is mapped onto a cylinder. Working in the Hamiltonian limit, the first-order corrections to the lowest gaps are calculated for the Ising model. The results confirm the validity of the gap-exponent relations for the perturbed system.
|
0705.0744
|
Tomislav Ivezic
|
Tomislav Ivezi\'c
|
Classical and Quantum Interaction of the Dipole Revisited
|
8 pages, sections are added, minor changes in the text
| null | null | null |
hep-th quant-ph
| null |
The interaction of the electric and magnetic dipole moments of a particle
with the electromagnetic field is investigated in an approach that deals with
four-dimensional (4D) geometric quantities. The new commutation relations for
the 4D orbital and intrinsic angular momentums and also for the 4D dipole
moments are introduced. The expectation value of the quantum 4-force, which
holds in any frame, is worked out in terms of them. In contrast to it the whole
calculation in [1] ([1] J. Anandan, Phys. Rev. Lett. \textbf{85}, 1354 (2000))
has been made only in the rest frame of the dipole. It is proved that, e.g.,
the expression for the 3D force $\mathbf{f}%_{S}$ in [1] is not
relativistically correct and that the quantum 4-force is not zero in the
experiments proposed in [1]. This means that the phase shifts that could be
observed in such experiments are not topological phase shifts.
|
[
{
"created": "Sat, 5 May 2007 12:45:15 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Sep 2007 10:40:04 GMT",
"version": "v2"
}
] |
2011-11-09
|
[
[
"Ivezić",
"Tomislav",
""
]
] |
The interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is investigated in an approach that deals with four-dimensional (4D) geometric quantities. The new commutation relations for the 4D orbital and intrinsic angular momentums and also for the 4D dipole moments are introduced. The expectation value of the quantum 4-force, which holds in any frame, is worked out in terms of them. In contrast to it the whole calculation in [1] ([1] J. Anandan, Phys. Rev. Lett. \textbf{85}, 1354 (2000)) has been made only in the rest frame of the dipole. It is proved that, e.g., the expression for the 3D force $\mathbf{f}%_{S}$ in [1] is not relativistically correct and that the quantum 4-force is not zero in the experiments proposed in [1]. This means that the phase shifts that could be observed in such experiments are not topological phase shifts.
|
hep-th/0008103
|
Jeong-Hyuck Park
|
Kimyeong Lee and Jeong-Hyuck Park
|
5D Actions for 6D Self-Dual Tensor Field Theory
|
11+1 pages, No figure, LaTeX
|
Phys.Rev. D64 (2001) 105006
|
10.1103/PhysRevD.64.105006
|
KIAS-P00054
|
hep-th
| null |
We present two equivalent five-dimensional actions for six-dimensional (N,0)
N=1,2 supersymmetric theories of self-dual tensor whose one spatial dimension
is compactified on a circle. The Kaluza-Klein tower consists of a massless
vector and infinite number of massive self-dual tensor multiplets living in
five-dimensions. The self-duality follows from the equation of motion. Both
actions are quadratic in field variables without any auxiliary field. When
lifted back to six-dimensions, one of them gives a supersymmetric extension of
the bosonic formulation for the chiral two-form tensor by Perry and Schwarz.
|
[
{
"created": "Mon, 14 Aug 2000 02:10:49 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Lee",
"Kimyeong",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
We present two equivalent five-dimensional actions for six-dimensional (N,0) N=1,2 supersymmetric theories of self-dual tensor whose one spatial dimension is compactified on a circle. The Kaluza-Klein tower consists of a massless vector and infinite number of massive self-dual tensor multiplets living in five-dimensions. The self-duality follows from the equation of motion. Both actions are quadratic in field variables without any auxiliary field. When lifted back to six-dimensions, one of them gives a supersymmetric extension of the bosonic formulation for the chiral two-form tensor by Perry and Schwarz.
|
hep-th/0308143
|
Katrin Wendland
|
Daniel Roggenkamp and Katrin Wendland
|
Limits and Degenerations of Unitary Conformal Field Theories
|
57 pages, no figures; minor clarifications and reference added; final
version to appear in Commun. Math. Phys
|
Commun.Math.Phys. 251 (2004) 589-643
|
10.1007/s00220-004-1131-6
| null |
hep-th math-ph math.MP
| null |
In the present paper, degeneration phenomena in conformal field theories are
studied. For this purpose, a notion of convergent sequences of CFTs is
introduced. Properties of the resulting limit structure are used to associate
geometric degenerations to degenerating sequences of CFTs, which, as familiar
from large volume limits of non-linear sigma models, can be regarded as
commutative degenerations of the corresponding ``quantum geometries''.
As an application, the large level limit of the A-series of unitary Virasoro
minimal models is investigated in detail. In particular, its geometric
interpretation is determined.
|
[
{
"created": "Thu, 21 Aug 2003 14:23:21 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Oct 2003 12:23:04 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Jan 2004 17:39:00 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Roggenkamp",
"Daniel",
""
],
[
"Wendland",
"Katrin",
""
]
] |
In the present paper, degeneration phenomena in conformal field theories are studied. For this purpose, a notion of convergent sequences of CFTs is introduced. Properties of the resulting limit structure are used to associate geometric degenerations to degenerating sequences of CFTs, which, as familiar from large volume limits of non-linear sigma models, can be regarded as commutative degenerations of the corresponding ``quantum geometries''. As an application, the large level limit of the A-series of unitary Virasoro minimal models is investigated in detail. In particular, its geometric interpretation is determined.
|
1109.1497
|
Aram Saharian
|
K. Milton, A. A. Saharian
|
Casimir densities for a spherical boundary in de Sitter spacetime
|
32 pages, 4 figures, new paragraph about generalizations, discussion
and references added, accepted for publication in Phys. Rev. D
|
Phys. Rev. D 85 (2012) 064005
|
10.1103/PhysRevD.85.064005
| null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-point functions, mean-squared fluctuations, and the vacuum expectation
value of the energy-momentum tensor operator are investigated for a massive
scalar field with an arbitrary curvature coupling parameter, subject to a
spherical boundary in the background of de Sitter spacetime. The field is
prepared in the Bunch-Davies vacuum state and is constrained to satisfy Robin
boundary conditions on the sphere. Both the interior and exterior regions are
considered. For the calculation in the interior region, a mode-summation method
is employed, supplemented with a variant of the generalized Abel-Plana formula.
This allows us to explicitly extract the contributions to the expectation
values which come from de Sitter spacetime without boundaries. We show that the
vacuum energy-momentum tensor is non-diagonal with the off-diagonal component
corresponding to the energy flux along the radial direction. With dependence on
the boundary condition and the mass of the field, this flux can be either
positive or negative. Several limiting cases of interest are then studied. In
terms of the curvature coupling parameter and the mass of the field, two very
different regimes are realized, which exhibit monotonic and oscillatory
behavior of the vacuum expectation values, respectively, far from the sphere.
The decay of the boundary induced expectation values at large distances from
the sphere is shown to be power-law (monotonic or oscillating), independent of
the value of the field mass.
|
[
{
"created": "Wed, 7 Sep 2011 15:52:45 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2012 15:07:13 GMT",
"version": "v2"
}
] |
2012-03-06
|
[
[
"Milton",
"K.",
""
],
[
"Saharian",
"A. A.",
""
]
] |
Two-point functions, mean-squared fluctuations, and the vacuum expectation value of the energy-momentum tensor operator are investigated for a massive scalar field with an arbitrary curvature coupling parameter, subject to a spherical boundary in the background of de Sitter spacetime. The field is prepared in the Bunch-Davies vacuum state and is constrained to satisfy Robin boundary conditions on the sphere. Both the interior and exterior regions are considered. For the calculation in the interior region, a mode-summation method is employed, supplemented with a variant of the generalized Abel-Plana formula. This allows us to explicitly extract the contributions to the expectation values which come from de Sitter spacetime without boundaries. We show that the vacuum energy-momentum tensor is non-diagonal with the off-diagonal component corresponding to the energy flux along the radial direction. With dependence on the boundary condition and the mass of the field, this flux can be either positive or negative. Several limiting cases of interest are then studied. In terms of the curvature coupling parameter and the mass of the field, two very different regimes are realized, which exhibit monotonic and oscillatory behavior of the vacuum expectation values, respectively, far from the sphere. The decay of the boundary induced expectation values at large distances from the sphere is shown to be power-law (monotonic or oscillating), independent of the value of the field mass.
|
hep-th/0512198
|
Stefano Kovacs
|
Michael B. Green, Stefano Kovacs, Aninda Sinha
|
Mixing of the RR and NSNS sectors in the BMN limit
|
latex, 29 pages, 4 figures
|
Phys.Rev.D73:066004,2006
|
10.1103/PhysRevD.73.066004
|
DAMTP-2005-101, AEI-2005-151
|
hep-th
| null |
This paper concerns instanton contributions to two-point correlation
functions of BMN operators in N=4 supersymmetric Yang-Mills that vanish in
planar perturbation theory. Two-point functions of operators with even numbers
of fermionic impurities (dual to RR string states) and with purely scalar
impurities (dual to NSNS string states) are considered. This includes mixed RR
- NSNS two-point functions. The gauge theory correlation functions are shown to
respect BMN scaling and their behaviour is found to be in good agreement with
the corresponding D-instanton contributions to two-point amplitudes in the
maximally supersymmetric IIB plane-wave string theory. The string theory
calculation also shows a simple dependence of the mass matrix elements on the
mode numbers of states with an arbitrary number of impurities, which is
difficult to extract from the gauge theory. For completeness, a discussion is
also given of the perturbative mixing of two-impurity states in the RR and NSNS
sectors at the first non-planar level.
|
[
{
"created": "Thu, 15 Dec 2005 21:00:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Green",
"Michael B.",
""
],
[
"Kovacs",
"Stefano",
""
],
[
"Sinha",
"Aninda",
""
]
] |
This paper concerns instanton contributions to two-point correlation functions of BMN operators in N=4 supersymmetric Yang-Mills that vanish in planar perturbation theory. Two-point functions of operators with even numbers of fermionic impurities (dual to RR string states) and with purely scalar impurities (dual to NSNS string states) are considered. This includes mixed RR - NSNS two-point functions. The gauge theory correlation functions are shown to respect BMN scaling and their behaviour is found to be in good agreement with the corresponding D-instanton contributions to two-point amplitudes in the maximally supersymmetric IIB plane-wave string theory. The string theory calculation also shows a simple dependence of the mass matrix elements on the mode numbers of states with an arbitrary number of impurities, which is difficult to extract from the gauge theory. For completeness, a discussion is also given of the perturbative mixing of two-impurity states in the RR and NSNS sectors at the first non-planar level.
|
hep-th/9502003
|
N. D. Hari Dass
|
Ramesh Anishetty, Rahul Basu, N.D. Hari Dass, and H.S.Sharatchandra
|
Infrared Behaviour of Systems With Goldstone Bosons
|
28 pages,2 Figs, a new section on some universal features of
multipion processes has been added
|
Int.J.Mod.Phys. A14 (1999) 3467-3496
|
10.1142/S0217751X99001615
|
IMSc-94/52
|
hep-th
| null |
We develop various complementary concepts and techniques for handling quantum
fluctuations of Goldstone bosons.We emphasise that one of the consequences of
the masslessness of Goldstone bosons is that the longitudinal fluctuations also
have a diverging susceptibility characterised by an anomalous dimension $(d-2)$
in space-time dimensions $2<d<4$.In $d=4$ these fluctuations diverge
logarithmically in the infrared region.We show the generality of this
phenomenon by providing three arguments based on i). Renormalization group
flows, ii). Ward identities, and iii). Schwinger-Dyson equations.We obtain an
explicit form for the generating functional of one-particle irreducible
vertices of the O(N) (non)--linear $\sigma$--models in the leading 1/N
approximation.We show that this incorporates all infrared behaviour correctly
both in linear and non-linear $\sigma$-- models. Our techniques provide an
alternative to chiral perturbation theory.Some consequences are discussed
briefly.
|
[
{
"created": "Wed, 1 Feb 1995 07:18:37 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Feb 1995 10:26:17 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Dec 1997 07:19:57 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Anishetty",
"Ramesh",
""
],
[
"Basu",
"Rahul",
""
],
[
"Dass",
"N. D. Hari",
""
],
[
"Sharatchandra",
"H. S.",
""
]
] |
We develop various complementary concepts and techniques for handling quantum fluctuations of Goldstone bosons.We emphasise that one of the consequences of the masslessness of Goldstone bosons is that the longitudinal fluctuations also have a diverging susceptibility characterised by an anomalous dimension $(d-2)$ in space-time dimensions $2<d<4$.In $d=4$ these fluctuations diverge logarithmically in the infrared region.We show the generality of this phenomenon by providing three arguments based on i). Renormalization group flows, ii). Ward identities, and iii). Schwinger-Dyson equations.We obtain an explicit form for the generating functional of one-particle irreducible vertices of the O(N) (non)--linear $\sigma$--models in the leading 1/N approximation.We show that this incorporates all infrared behaviour correctly both in linear and non-linear $\sigma$-- models. Our techniques provide an alternative to chiral perturbation theory.Some consequences are discussed briefly.
|
1512.01170
|
Michele Cirafici
|
Michele Cirafici
|
Persistent Homology and String Vacua
|
32 pages, 12 pdf figures
| null |
10.1007/JHEP03(2016)045
| null |
hep-th math-ph math.AT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use methods from topological data analysis to study the topological
features of certain distributions of string vacua. Topological data analysis is
a multi-scale approach used to analyze the topological features of a dataset by
identifying which homological characteristics persist over a long range of
scales. We apply these techniques in several contexts. We analyze N=2 vacua by
focusing on certain distributions of Calabi-Yau varieties and Landau-Ginzburg
models. We then turn to flux compactifications and discuss how we can use
topological data analysis to extract physical informations. Finally we apply
these techniques to certain phenomenologically realistic heterotic models. We
discuss the possibility of characterizing string vacua using the topological
properties of their distributions.
|
[
{
"created": "Thu, 3 Dec 2015 17:35:26 GMT",
"version": "v1"
}
] |
2016-04-20
|
[
[
"Cirafici",
"Michele",
""
]
] |
We use methods from topological data analysis to study the topological features of certain distributions of string vacua. Topological data analysis is a multi-scale approach used to analyze the topological features of a dataset by identifying which homological characteristics persist over a long range of scales. We apply these techniques in several contexts. We analyze N=2 vacua by focusing on certain distributions of Calabi-Yau varieties and Landau-Ginzburg models. We then turn to flux compactifications and discuss how we can use topological data analysis to extract physical informations. Finally we apply these techniques to certain phenomenologically realistic heterotic models. We discuss the possibility of characterizing string vacua using the topological properties of their distributions.
|
hep-th/9909018
|
Nikolaos Mavromatos
|
Nick E. Mavromatos and Elizabeth Winstanley
|
Infinitely Coloured Black Holes
|
23 pages latex2e, two ps figures incorporated
|
Class.Quant.Grav.17:1595-1611,2000
|
10.1088/0264-9381/17/7/302
|
Oxford preprint OUTP-99-41P
|
hep-th gr-qc
| null |
We formulate the field equations for $SU(\infty)$ Einstein-Yang-Mills theory,
and find spherically symmetric black-hole solutions. This model may be
motivated by string theory considerations, given the enormous gauge symmetries
which characterize string theory. The solutions simplify considerably in the
presence of a negative cosmological constant, particularly for the limiting
cases of a very large cosmological constant or very small gauge field. The
situation of an arbitrarily small gauge field is relevant for holography and we
comment on the AdS/CFT conjecture in this light. The black holes possess
infinite amounts of gauge field hair, and we speculate on possible consequences
of this for quantum decoherence, which, however, we do not tackle here.
|
[
{
"created": "Fri, 3 Sep 1999 16:48:49 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Mavromatos",
"Nick E.",
""
],
[
"Winstanley",
"Elizabeth",
""
]
] |
We formulate the field equations for $SU(\infty)$ Einstein-Yang-Mills theory, and find spherically symmetric black-hole solutions. This model may be motivated by string theory considerations, given the enormous gauge symmetries which characterize string theory. The solutions simplify considerably in the presence of a negative cosmological constant, particularly for the limiting cases of a very large cosmological constant or very small gauge field. The situation of an arbitrarily small gauge field is relevant for holography and we comment on the AdS/CFT conjecture in this light. The black holes possess infinite amounts of gauge field hair, and we speculate on possible consequences of this for quantum decoherence, which, however, we do not tackle here.
|
2311.05703
|
Henry Maxfield
|
Henry Maxfield
|
Counting states in a model of replica wormholes
|
27pp + appendices, 4 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the Hilbert space of a system of $n$ black holes with an inner
product induced by replica wormholes. This takes the form of a sum over
permutations, which we interpret in terms of a gauge symmetry. The resulting
inner product is degenerate, with null states lying in representations
corresponding to Young diagrams with too many rows. We count the remaining
states in a large $n$ limit, which is governed by an emergent collective
Coulomb gas description describing the shape of typical Young diagrams. This
exhibits a third-order phase transition when the null states become numerous.
We find that the dimension of the black hole Hilbert space accords with a
microscopic interpretation of Bekenstein-Hawking entropy.
|
[
{
"created": "Thu, 9 Nov 2023 19:20:53 GMT",
"version": "v1"
}
] |
2023-11-13
|
[
[
"Maxfield",
"Henry",
""
]
] |
We study the Hilbert space of a system of $n$ black holes with an inner product induced by replica wormholes. This takes the form of a sum over permutations, which we interpret in terms of a gauge symmetry. The resulting inner product is degenerate, with null states lying in representations corresponding to Young diagrams with too many rows. We count the remaining states in a large $n$ limit, which is governed by an emergent collective Coulomb gas description describing the shape of typical Young diagrams. This exhibits a third-order phase transition when the null states become numerous. We find that the dimension of the black hole Hilbert space accords with a microscopic interpretation of Bekenstein-Hawking entropy.
|
1204.3096
|
Andrey Zayakin
|
Gianluca Grignani, A. V. Zayakin
|
Matching three-point functions of BMN operators at weak and strong
coupling
|
14 pages, 1 figure
| null |
10.1007/JHEP06(2012)142
|
ITEP-TH-25/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The agreement between string theory and field theory is demonstrated in the
leading order by providing the first calculation of the correlator of three
two-impurity BMN states with all non-zero momenta. The calculation is performed
in two completely independent ways: in field theory by using the large-$N$
perturbative expansion, up to the terms subleading in finite-size, and in
string theory by using the Dobashi-Yoneya 3-string vertex in the leading order
of the Penrose expansion. The two results come out to be completely identical.
|
[
{
"created": "Fri, 13 Apr 2012 20:03:05 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2012 14:33:38 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jan 2013 18:51:39 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Grignani",
"Gianluca",
""
],
[
"Zayakin",
"A. V.",
""
]
] |
The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two completely independent ways: in field theory by using the large-$N$ perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. The two results come out to be completely identical.
|
1709.08428
|
Xian-Hui Ge
|
Ze-Nan Chen, Xian-Hui Ge, Shang-Yu Wu, Guo-Hong Yang, Hong-Sheng Zhang
|
Magnetothermoelectric DC conductivities from holography models with
hyperscaling factor in Lifshitz spacetime
|
1+23 pages, 4 figures, references added
| null |
10.1016/j.nuclphysb.2017.09.016
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate an Einstein-Maxwell-Dilaton-Axion holographic model and obtain
two branches of a charged black hole solution with a dynamic exponent and a
hyperscaling violation factor when a magnetic field presents. The
magnetothermoelectric DC conductivities are then calculated in terms of horizon
data by means of holographic principle. We find that linear temperature
dependence resistivity and quadratic temperature dependence inverse Hall angle
can be achieved in our model. The well-known anomalous temperature scaling of
the Nernst signal and the Seebeck coefficient of cuprate strange metals are
also discussed.
|
[
{
"created": "Mon, 25 Sep 2017 11:26:40 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2017 02:29:22 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Oct 2017 03:18:40 GMT",
"version": "v3"
}
] |
2018-03-14
|
[
[
"Chen",
"Ze-Nan",
""
],
[
"Ge",
"Xian-Hui",
""
],
[
"Wu",
"Shang-Yu",
""
],
[
"Yang",
"Guo-Hong",
""
],
[
"Zhang",
"Hong-Sheng",
""
]
] |
We investigate an Einstein-Maxwell-Dilaton-Axion holographic model and obtain two branches of a charged black hole solution with a dynamic exponent and a hyperscaling violation factor when a magnetic field presents. The magnetothermoelectric DC conductivities are then calculated in terms of horizon data by means of holographic principle. We find that linear temperature dependence resistivity and quadratic temperature dependence inverse Hall angle can be achieved in our model. The well-known anomalous temperature scaling of the Nernst signal and the Seebeck coefficient of cuprate strange metals are also discussed.
|
hep-th/9810205
|
Dahl Park
|
Youngjai Kiem and Dahl Park
|
BTZ black holes from the five-dimensional general relativity with a
negative cosmological constant
|
14 pages, RevTeX, version to appear in Phys. Lett. B, arguments
clarified
|
Phys.Lett. B450 (1999) 41-47
|
10.1016/S0370-2693(99)00120-3
|
KIAS-P98031, SNUTP98-122
|
hep-th
| null |
We show that the five-dimensional general relativity with a negative
cosmological constant allows the solutions of the form M_3 \times M_g where M_3
is the three-dimensional BTZ black hole and M_g is a higher genus (g>1) Riemann
surface with a fixed size. It is shown that this type of spontaneous
compactification on a Riemann surface is possible only for the genus larger
than one. From type IIB string theory point of view, certain near horizon
geometry of D three-branes wrapped on the compact Riemann surface (g>1) is the
BTZ (or AdS_3) space-time tensored with the Riemann surface and a constant size
five-sphere. The relevance of our analysis to the positive energy conjecture of
Horowitz and Myers is discussed.
|
[
{
"created": "Sun, 25 Oct 1998 18:31:00 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 1999 10:25:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kiem",
"Youngjai",
""
],
[
"Park",
"Dahl",
""
]
] |
We show that the five-dimensional general relativity with a negative cosmological constant allows the solutions of the form M_3 \times M_g where M_3 is the three-dimensional BTZ black hole and M_g is a higher genus (g>1) Riemann surface with a fixed size. It is shown that this type of spontaneous compactification on a Riemann surface is possible only for the genus larger than one. From type IIB string theory point of view, certain near horizon geometry of D three-branes wrapped on the compact Riemann surface (g>1) is the BTZ (or AdS_3) space-time tensored with the Riemann surface and a constant size five-sphere. The relevance of our analysis to the positive energy conjecture of Horowitz and Myers is discussed.
|
1306.4601
|
Paolo Lodone
|
Francesco Coradeschi, Paolo Lodone, Duccio Pappadopulo, Riccardo
Rattazzi, Lorenzo Vitale
|
A naturally light dilaton
|
v2: published version
|
JHEP 11 (2013) 057
|
10.1007/JHEP11(2013)057
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Goldstone's theorem does not apply straightforwardly to the case of
spontaneously broken scale invariance. We elucidate under what conditions a
light scalar degree of freedom, identifiable with the dilaton, can naturally
arise. Our construction can be considered an explicit dynamical solution to the
cosmological constant problem in the scalar version of gravity.
|
[
{
"created": "Wed, 19 Jun 2013 16:23:00 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2013 15:59:09 GMT",
"version": "v2"
}
] |
2013-11-19
|
[
[
"Coradeschi",
"Francesco",
""
],
[
"Lodone",
"Paolo",
""
],
[
"Pappadopulo",
"Duccio",
""
],
[
"Rattazzi",
"Riccardo",
""
],
[
"Vitale",
"Lorenzo",
""
]
] |
Goldstone's theorem does not apply straightforwardly to the case of spontaneously broken scale invariance. We elucidate under what conditions a light scalar degree of freedom, identifiable with the dilaton, can naturally arise. Our construction can be considered an explicit dynamical solution to the cosmological constant problem in the scalar version of gravity.
|
0809.3123
|
Viacheslav Kudryavtsev
|
V.A.Kudryavtsev
|
Composite superstring model for hadrons and extended Virasoro
superconformal symmetry with supercurrent constraints
|
26 pages, 11 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hadron dynamics is formulated in terms of interacting composite strings.
Consistent composite string model with extended Virasoro superconformal
symmetry is found. These composite strings carry flavour and chiral degrees of
freedom on edging two-dimensional surfaces. Necessary correct description of
string amplitudes without states of negative norms in the spectrum of physical
states is reached when special supercurrents conditions are fulfilled.
|
[
{
"created": "Thu, 18 Sep 2008 10:39:09 GMT",
"version": "v1"
}
] |
2008-09-19
|
[
[
"Kudryavtsev",
"V. A.",
""
]
] |
Hadron dynamics is formulated in terms of interacting composite strings. Consistent composite string model with extended Virasoro superconformal symmetry is found. These composite strings carry flavour and chiral degrees of freedom on edging two-dimensional surfaces. Necessary correct description of string amplitudes without states of negative norms in the spectrum of physical states is reached when special supercurrents conditions are fulfilled.
|
1509.01147
|
Stephen Hawking
|
S. W. Hawking
|
The Information Paradox for Black Holes
|
Talk given on 28 August 2015 at Hawking Radiation, a conference held
at KTH Royal Institute of Technology, Stockholm
| null | null |
DAMTP-2015-49
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I propose that the information loss paradox can be resolved by considering
the supertranslation of the horizon caused by the ingoing particles.
Information can be recovered in principle, but it is lost for all practical
purposes.
|
[
{
"created": "Thu, 3 Sep 2015 16:15:59 GMT",
"version": "v1"
}
] |
2015-09-04
|
[
[
"Hawking",
"S. W.",
""
]
] |
I propose that the information loss paradox can be resolved by considering the supertranslation of the horizon caused by the ingoing particles. Information can be recovered in principle, but it is lost for all practical purposes.
|
2406.15240
|
Linus Wulff
|
Linus Wulff
|
Tree-level $R^4$ correction from $O(d,d)$: NS-NS five-point terms
|
18+18 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The tree-level string effective action reduced from $D$ to $D-d$ dimensions
possesses a continuous $O(d,d)$ symmetry, closely related to T-duality. A
necessary condition for a higher derivative correction to preserve this
symmetry is that certain $O(d,d)$ violating terms which appear in the
dimensional reduction have to cancel out. We use this idea to complete the
quartic Riemann correction with all terms involving five NS-NS sector fields.
The resulting Lagrangian is considerably simpler than expressions that have
previously appeared in the literature.
|
[
{
"created": "Fri, 21 Jun 2024 15:28:35 GMT",
"version": "v1"
}
] |
2024-06-24
|
[
[
"Wulff",
"Linus",
""
]
] |
The tree-level string effective action reduced from $D$ to $D-d$ dimensions possesses a continuous $O(d,d)$ symmetry, closely related to T-duality. A necessary condition for a higher derivative correction to preserve this symmetry is that certain $O(d,d)$ violating terms which appear in the dimensional reduction have to cancel out. We use this idea to complete the quartic Riemann correction with all terms involving five NS-NS sector fields. The resulting Lagrangian is considerably simpler than expressions that have previously appeared in the literature.
|
hep-th/9410210
|
M. J. Duff
|
M. J. Duff
|
Classical/Quantum Duality
|
5 pages latex, NI-94-016, Typographical errors corrected
| null | null | null |
hep-th hep-ph
| null |
String theory requires two kinds of loop expansion: classical $(\alpha')$
worldsheet loops with expansion parameter $<T>$ where $T$ is a modulus field,
and quantum $(\hbar)$ spacetime loops with expansion parameter $<S>$ where $S$
is the dilaton field. Four-dimensional string/string duality (a corollary of
ten-dimensional string/fivebrane duality) interchanges the roles of $S$ and $T$
and hence interchanges classical and quantum.
|
[
{
"created": "Thu, 27 Oct 1994 16:16:25 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 1994 12:15:51 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Duff",
"M. J.",
""
]
] |
String theory requires two kinds of loop expansion: classical $(\alpha')$ worldsheet loops with expansion parameter $<T>$ where $T$ is a modulus field, and quantum $(\hbar)$ spacetime loops with expansion parameter $<S>$ where $S$ is the dilaton field. Four-dimensional string/string duality (a corollary of ten-dimensional string/fivebrane duality) interchanges the roles of $S$ and $T$ and hence interchanges classical and quantum.
|
hep-th/9207053
| null |
Ashoke Sen
|
Electric Magnetic Duality in String Theory
|
20 pages, phyzzx.tex, TIFR-TH-92-41 (The section on dyonic black
holes has been modified and expanded, minor corrections have been made in the
other sections)
|
Nucl.Phys.B404:109-126,1993
|
10.1016/0550-3213(93)90475-5
| null |
hep-th
| null |
The electric-magnetic duality transformation in four dimensional heterotic
string theory discussed by Shapere, Trivedi and Wilczek is shown to be an exact
symmetry of the equations of motion of low energy effective field theory even
after including the scalar and the vector fields, arising due to
compactification, in the effective field theory. Using this duality
transformation we construct rotating black hole solutions in the effective
field theory carrying both, electric and magnetic charges. The spectrum of
extremal magnetically charged black holes turns out to be similar to that of
electrically charged elementary string excitations. We also discuss the
possibility that the duality symmetry is an exact symmetry of the full string
theory under which electrically charged elementary string excitations get
exchanged with magnetically charged soliton like solutions. This proposal might
be made concrete following the suggestion of Dabholkar et. al. that fundamental
strings may be regarded as soliton like classical solutions in the effective
field theory.
|
[
{
"created": "Wed, 15 Jul 1992 10:15:14 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Oct 1992 08:06:00 GMT",
"version": "v2"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
The electric-magnetic duality transformation in four dimensional heterotic string theory discussed by Shapere, Trivedi and Wilczek is shown to be an exact symmetry of the equations of motion of low energy effective field theory even after including the scalar and the vector fields, arising due to compactification, in the effective field theory. Using this duality transformation we construct rotating black hole solutions in the effective field theory carrying both, electric and magnetic charges. The spectrum of extremal magnetically charged black holes turns out to be similar to that of electrically charged elementary string excitations. We also discuss the possibility that the duality symmetry is an exact symmetry of the full string theory under which electrically charged elementary string excitations get exchanged with magnetically charged soliton like solutions. This proposal might be made concrete following the suggestion of Dabholkar et. al. that fundamental strings may be regarded as soliton like classical solutions in the effective field theory.
|
1904.01093
|
Roldao da Rocha
|
A. J. Ferreira-Martins, P. Meert, R. da Rocha
|
Deformed AdS4-Reissner-Nordstr\"om black branes and shear
viscosity-to-entropy density ratio
|
9 pages, 2 figs, published version
|
Eur. Phys. J. C 79 (2019) 646
|
10.1140/epjc/s10052-019-7167-8
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A family of deformed AdS4-Reissner-Nordstr\"om black branes, governed by a
free parameter, is derived using the ADM formalism, in the context of the
membrane paradigm. Their new event horizons, the Hawking temperature and other
aspects are scrutinized. AdS/CFT near-horizon methods are then implemented to
compute the shear viscosity-to-entropy ratio for the deformed
AdS4-Reissner-Nordstr\"om metric. The Killing equation is shown to yield new
values for the free parameter and the shear viscosity-to-entropy ratio is used
to derive a reliable range for tidal charge.
|
[
{
"created": "Mon, 1 Apr 2019 20:03:51 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Mar 2020 00:52:05 GMT",
"version": "v2"
}
] |
2020-03-17
|
[
[
"Ferreira-Martins",
"A. J.",
""
],
[
"Meert",
"P.",
""
],
[
"da Rocha",
"R.",
""
]
] |
A family of deformed AdS4-Reissner-Nordstr\"om black branes, governed by a free parameter, is derived using the ADM formalism, in the context of the membrane paradigm. Their new event horizons, the Hawking temperature and other aspects are scrutinized. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio for the deformed AdS4-Reissner-Nordstr\"om metric. The Killing equation is shown to yield new values for the free parameter and the shear viscosity-to-entropy ratio is used to derive a reliable range for tidal charge.
|
1811.11838
|
Sang Hui Im
|
Sang Hui Im, Hans Peter Nilles, Marek Olechowski
|
Heterotic M-Theory from the Clockwork Perspective
|
23 pages, 3 figures; v2: typos corrected, version published in JHEP
|
JHEP 1901:151, 2019
|
10.1007/JHEP01(2019)151
|
LMU-ASC 78/18
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifications of heterotic M-theory are shown to provide solutions to the
weak- and axion-scale hierarchy problems as a consequence of warped large extra
dimensions. They allow a description that is reminiscent of the so-called
continuous clockwork mechanism. The models constructed here cover a new region
of clockwork parameter space and exhibit unexplored spectra and couplings of
Kaluza-Klein modes. Previously discussed models are outside this region of
parameter space and do seem to require an ultraviolet completion other than
that of perturbative higher dimensional $D=10,11$ string- or M-theory. A
5D-supergravity description can be given for all explicitly known continuous
clockwork models. The various classes of models can be distinguished through
the different roles played by vector multiplets and the universal
hypermultiplet in 5D-supergravity.
|
[
{
"created": "Mon, 19 Nov 2018 19:00:07 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Feb 2019 09:15:09 GMT",
"version": "v2"
}
] |
2019-02-12
|
[
[
"Im",
"Sang Hui",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Olechowski",
"Marek",
""
]
] |
Compactifications of heterotic M-theory are shown to provide solutions to the weak- and axion-scale hierarchy problems as a consequence of warped large extra dimensions. They allow a description that is reminiscent of the so-called continuous clockwork mechanism. The models constructed here cover a new region of clockwork parameter space and exhibit unexplored spectra and couplings of Kaluza-Klein modes. Previously discussed models are outside this region of parameter space and do seem to require an ultraviolet completion other than that of perturbative higher dimensional $D=10,11$ string- or M-theory. A 5D-supergravity description can be given for all explicitly known continuous clockwork models. The various classes of models can be distinguished through the different roles played by vector multiplets and the universal hypermultiplet in 5D-supergravity.
|
1707.01095
|
M.C. David Marsh
|
Diego Gallego, M.C. David Marsh, Bert Vercnocke and Timm Wrase
|
A New Class of de Sitter Vacua in Type IIB Large Volume
Compactifications
|
34 pages
|
JHEP 1710 (2017) 193
|
10.1007/JHEP10(2017)193
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new class of metastable de Sitter vacua of flux
compactifications of type IIB string theory. These solutions provide a natural
extension of the `Large Volume Scenario' anti-de Sitter vacua, and can
analogously be realised at parametrically large volume and weak string
coupling, using standard ${\cal N}=1$ supergravity. For these new vacua, a
positive vacuum energy is achieved from the inclusion of a small amount of
flux-induced supersymmetry breaking in the complex structure and axio-dilaton
sector, and no additional `uplift' contribution (e.g.~from anti-branes) is
required. We show that the approximate no-scale structure of the effective
theory strongly influences the spectrum of the stabilised moduli: one complex
structure modulus remains significantly lighter than the supersymmetry breaking
scale, and metastability requires only modest amounts of tuning. After
discussing these general results, we provide a recipe for constructing de
Sitter vacua on a given compactification manifold, and give an explicit example
of a de Sitter vacuum for the compactification on the Calabi-Yau orientifold
realised in $\mathbb{CP}^4_{11169}$. Finally, we note that these solutions have
intriguing implications for phenomenology, predicting no superpartners in the
spectrum below $\sim$50 TeV, and no WIMP dark matter.
|
[
{
"created": "Tue, 4 Jul 2017 18:00:00 GMT",
"version": "v1"
}
] |
2017-10-31
|
[
[
"Gallego",
"Diego",
""
],
[
"Marsh",
"M. C. David",
""
],
[
"Vercnocke",
"Bert",
""
],
[
"Wrase",
"Timm",
""
]
] |
We construct a new class of metastable de Sitter vacua of flux compactifications of type IIB string theory. These solutions provide a natural extension of the `Large Volume Scenario' anti-de Sitter vacua, and can analogously be realised at parametrically large volume and weak string coupling, using standard ${\cal N}=1$ supergravity. For these new vacua, a positive vacuum energy is achieved from the inclusion of a small amount of flux-induced supersymmetry breaking in the complex structure and axio-dilaton sector, and no additional `uplift' contribution (e.g.~from anti-branes) is required. We show that the approximate no-scale structure of the effective theory strongly influences the spectrum of the stabilised moduli: one complex structure modulus remains significantly lighter than the supersymmetry breaking scale, and metastability requires only modest amounts of tuning. After discussing these general results, we provide a recipe for constructing de Sitter vacua on a given compactification manifold, and give an explicit example of a de Sitter vacuum for the compactification on the Calabi-Yau orientifold realised in $\mathbb{CP}^4_{11169}$. Finally, we note that these solutions have intriguing implications for phenomenology, predicting no superpartners in the spectrum below $\sim$50 TeV, and no WIMP dark matter.
|
0808.4076
|
Henning Samtleben
|
Henning Samtleben
|
Lectures on Gauged Supergravity and Flux Compactifications
|
48 pages, lectures given at the RTN Winter School on Strings,
Supergravity and Gauge Theories, CERN, January 2008
|
Class.Quant.Grav.25:214002,2008
|
10.1088/0264-9381/25/21/214002
|
ENSL-00315624
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The low-energy effective theories describing string compactifications in the
presence of fluxes are so-called gauged supergravities: deformations of the
standard abelian supergravity theories. The deformation parameters can be
identified with the various possible (geometric and non-geometric) flux
components. In these lecture notes we review the construction of gauged
supergravities in a manifestly duality covariant way and illustrate the
construction in several examples.
|
[
{
"created": "Fri, 29 Aug 2008 16:05:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Samtleben",
"Henning",
""
]
] |
The low-energy effective theories describing string compactifications in the presence of fluxes are so-called gauged supergravities: deformations of the standard abelian supergravity theories. The deformation parameters can be identified with the various possible (geometric and non-geometric) flux components. In these lecture notes we review the construction of gauged supergravities in a manifestly duality covariant way and illustrate the construction in several examples.
|
hep-th/0309182
|
Frank Hofheinz
|
W. Bietenholz, F. Hofheinz, J. Nishimura
|
Numerical results on the Non-commutative \lambda \phi^4 Model
|
3 pages, 6 figures, Talk presented at Lattice2003(theory)
| null |
10.1016/S0920-5632(03)02736-1
|
HU-EP-03/66
|
hep-th hep-lat
| null |
The UV/IR mixing in the \lambda \phi^4 model on a non-commutative (NC) space
leads to new predictions in perturbation theory, including Hartree-Fock type
approximations. Among them there is a changed phase diagram and an unusual
behavior of the correlation functions. In particular this mixing leads to a
deformation of the dispersion relation. We present numerical results for these
effects in d=3 with two NC coordinates.
|
[
{
"created": "Thu, 18 Sep 2003 12:59:23 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bietenholz",
"W.",
""
],
[
"Hofheinz",
"F.",
""
],
[
"Nishimura",
"J.",
""
]
] |
The UV/IR mixing in the \lambda \phi^4 model on a non-commutative (NC) space leads to new predictions in perturbation theory, including Hartree-Fock type approximations. Among them there is a changed phase diagram and an unusual behavior of the correlation functions. In particular this mixing leads to a deformation of the dispersion relation. We present numerical results for these effects in d=3 with two NC coordinates.
|
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