id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9802047 | Murat Gunaydin | Murat Gunaydin and Djordje Minic (Penn State University) | Singletons, Doubletons and M-theory | 17 pages, LaTeX. Two references added. No changes in the text | Nucl.Phys.B523:145-157,1998 | 10.1016/S0550-3213(98)00225-9 | PSU-TH-194 | hep-th | null | We identify the two dimensional AdS subsupergroup $OSp(16/2,R)$ of the
M-theory supergroup $OSp(1/32,R)$ which captures the dynamics of $n$
$D0$-branes in the large $n$ limit of Matrix theory. The $Sp(2,R)$ factor in
the even subgroup $SO(16) \times Sp(2,R)$ of $OSp(16/2,R)$ corresponds to the
AdS extension of the Poincare symmetry of the longitudinal directions. The
infinite number of $D0$-branes with ever increasing and quantized values of
longitudinal momenta are identified with the Fourier modes of the singleton
supermultiplets of $OSp(16/2,R)$,which consist of 128 bosons and 128 fermions.
The large $n$ limit of N=16 U(n) Yang-Mills quantum mechanics which describes
Matrix theory is a conformally invariant N=16 singleton quantum mechanics
living on the boundary of $AdS_{2}$. We also review some of the earlier results
on the spectra of Kaluza-Klein supergravity theories in relation to the recent
conjecture of Maldacena relating the dynamics of $n$ $Dp$-branes to certain AdS
supergravity theories. We point out the remarkable parallel between the
conjecture of Maldacena and the construction of the spectra of $11-d$ and type
$IIB$ supergravity theories compactified over various spheres in terms of
singleton or doubleton supermultiplets of corresponding AdS supergroups.
| [
{
"created": "Sat, 7 Feb 1998 19:44:39 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 1998 02:57:44 GMT",
"version": "v2"
}
] | 2011-02-09 | [
[
"Gunaydin",
"Murat",
"",
"Penn State University"
],
[
"Minic",
"Djordje",
"",
"Penn State University"
]
] | We identify the two dimensional AdS subsupergroup $OSp(16/2,R)$ of the M-theory supergroup $OSp(1/32,R)$ which captures the dynamics of $n$ $D0$-branes in the large $n$ limit of Matrix theory. The $Sp(2,R)$ factor in the even subgroup $SO(16) \times Sp(2,R)$ of $OSp(16/2,R)$ corresponds to the AdS extension of the Poincare symmetry of the longitudinal directions. The infinite number of $D0$-branes with ever increasing and quantized values of longitudinal momenta are identified with the Fourier modes of the singleton supermultiplets of $OSp(16/2,R)$,which consist of 128 bosons and 128 fermions. The large $n$ limit of N=16 U(n) Yang-Mills quantum mechanics which describes Matrix theory is a conformally invariant N=16 singleton quantum mechanics living on the boundary of $AdS_{2}$. We also review some of the earlier results on the spectra of Kaluza-Klein supergravity theories in relation to the recent conjecture of Maldacena relating the dynamics of $n$ $Dp$-branes to certain AdS supergravity theories. We point out the remarkable parallel between the conjecture of Maldacena and the construction of the spectra of $11-d$ and type $IIB$ supergravity theories compactified over various spheres in terms of singleton or doubleton supermultiplets of corresponding AdS supergroups. |
hep-th/9802117 | Oleg Borisovich Zaslavskii | O. B. Zaslavskii | Two-Dimensional Self-Consistent Quantum-Corrected Geometries with a
Constant Dilaton Feld | 7 pages, REVTeX, no figures. Minor corrections in presentation. To be
published in Phys. Lett. B | Phys.Lett. B424 (1998) 271-274 | 10.1016/S0370-2693(98)00238-X | null | hep-th gr-qc | null | It is argued that the existence of constant dilaton field solutions is a
generic feature of string-inspired dilaton gravity. Such solutins arise in the
extreme limit of black hole metrics. It is shown that in a strong coupling
region quantum effects give rise to two horizons in thermal equilibrium that
has no classical counterpart.
| [
{
"created": "Tue, 17 Feb 1998 09:13:19 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 1998 16:15:36 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zaslavskii",
"O. B.",
""
]
] | It is argued that the existence of constant dilaton field solutions is a generic feature of string-inspired dilaton gravity. Such solutins arise in the extreme limit of black hole metrics. It is shown that in a strong coupling region quantum effects give rise to two horizons in thermal equilibrium that has no classical counterpart. |
1512.00010 | Nathan Benjamin | Nathan Benjamin, Shamit Kachru, Christoph A. Keller, Natalie M.
Paquette | Emergent space-time and the supersymmetric index | 29 pages, 2 figures; v2, very minor changes; v3, very minor additions
to sections 3.2 and 4.2 | JHEP 1605, 158 (2016) | 10.1007/JHEP05(2016)158 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is of interest to find criteria on a 2d CFT which indicate that it gives
rise to emergent gravity in a macroscopic 3d AdS space via holography.
Symmetric orbifolds in the large $N$ limit have partition functions which are
consistent with an emergent space-time string theory with $L_{\rm string} \sim
L_{\rm AdS}$. For supersymmetric CFTs, the elliptic genus can serve as a
sensitive probe of whether the SCFT admits a large radius gravity description
with $L_{\rm string} \ll L_{\rm AdS}$ after one deforms away from the symmetric
orbifold point in moduli space. We discuss several classes of constructions
whose elliptic genera strongly hint that gravity with $L_{\rm Planck} \ll
L_{\rm string} \ll L_{\rm AdS}$ can emerge at suitable points in moduli space.
| [
{
"created": "Mon, 30 Nov 2015 21:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2015 17:55:52 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jun 2016 08:22:16 GMT",
"version": "v3"
}
] | 2016-06-08 | [
[
"Benjamin",
"Nathan",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Keller",
"Christoph A.",
""
],
[
"Paquette",
"Natalie M.",
""
]
] | It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large $N$ limit have partition functions which are consistent with an emergent space-time string theory with $L_{\rm string} \sim L_{\rm AdS}$. For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with $L_{\rm string} \ll L_{\rm AdS}$ after one deforms away from the symmetric orbifold point in moduli space. We discuss several classes of constructions whose elliptic genera strongly hint that gravity with $L_{\rm Planck} \ll L_{\rm string} \ll L_{\rm AdS}$ can emerge at suitable points in moduli space. |
1408.5144 | Carl Vollenweider | Constantin Candu, Cheng Peng and Carl Vollenweider | Extended supersymmetry in AdS_3 higher spin theories | 23 pages | null | 10.1007/JHEP12(2014)113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the asymptotic symmetry algebra (for fields of low spin) of the
$M\times M$ matrix extended Vasiliev theories on AdS$_3$ and find that it
agrees with the $\mathcal{W}$-algebra of their proposed coset duals. Previously
it was noticed that for $M=2$ the supersymmetry increases from $\mathcal{N}=2$
to $\mathcal{N}=4$. We study more systematically this type of supersymmetry
enhancements and find that, although the higher spin algebra has extended
supersymmetry for all $M\geq 2$, the corresponding asymptotic symmetry algebra
fails to be superconformal except for $M=2$, when it has large $\mathcal{N}=4$
superconformal symmetry. Moreover, we find that the Vasiliev theories based on
$shs^E\! \left( \mathcal{N} \vert 2, \mathbb{R} \right)$ are special cases of
the matrix extended higher spin theories, and hence have the same supersymmetry
properties.
| [
{
"created": "Thu, 21 Aug 2014 20:01:10 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Candu",
"Constantin",
""
],
[
"Peng",
"Cheng",
""
],
[
"Vollenweider",
"Carl",
""
]
] | We determine the asymptotic symmetry algebra (for fields of low spin) of the $M\times M$ matrix extended Vasiliev theories on AdS$_3$ and find that it agrees with the $\mathcal{W}$-algebra of their proposed coset duals. Previously it was noticed that for $M=2$ the supersymmetry increases from $\mathcal{N}=2$ to $\mathcal{N}=4$. We study more systematically this type of supersymmetry enhancements and find that, although the higher spin algebra has extended supersymmetry for all $M\geq 2$, the corresponding asymptotic symmetry algebra fails to be superconformal except for $M=2$, when it has large $\mathcal{N}=4$ superconformal symmetry. Moreover, we find that the Vasiliev theories based on $shs^E\! \left( \mathcal{N} \vert 2, \mathbb{R} \right)$ are special cases of the matrix extended higher spin theories, and hence have the same supersymmetry properties. |
hep-th/0103261 | M. P. Garcia del Moral | M.P.Garcia del Moral and A. Restuccia | On The spectrum of a Noncommutative Formulation of the D=11
Supermembrane with Winding | 16 pages.Latex2E | Phys.Rev. D66 (2002) 045023 | 10.1103/PhysRevD.66.045023 | KCL-MTH-01-06 | hep-th | null | A regularized model of the double compactified D=11 supermembrane with
nontrivial winding in terms of SU(N) valued maps is obtained. The condition of
nontrivial winding is described in terms of a nontrivial line bundle introduced
in the formulation of the compactified supermembrane. The multivalued
geometrical objects of the model related to the nontrivial wrapping are
described in terms of a SU(N) geometrical object which in the $ N\to \infty$
limit, converges to the symplectic connection related to the area preserving
diffeomorphisms of the recently obtained non-commutative description of the
compactified D=11 supermembrane.(I. Martin, J.Ovalle, A. Restuccia. 2000,2001)
The SU(N) regularized canonical lagrangian is explicitly obtained. In the $
N\to \infty$ limit it converges to the lagrangian in (I.Martin, J.Ovalle,
A.Restuccia. 2000,2001) subject to the nontrivial winding condition. The
spectrum of the hamiltonian of the double compactified D=11 supermembrane is
discussed.
Generically, it contains local string like spikes with zero energy.
However the sector of the theory corresponding to a principle bundle
characterized by the winding number $n \neq 0$, described by the SU(N) model we
propose, is shown to have no local string-like spikes and hence the spectrum of
this sector should be discrete.
| [
{
"created": "Fri, 30 Mar 2001 11:33:37 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"del Moral",
"M. P. Garcia",
""
],
[
"Restuccia",
"A.",
""
]
] | A regularized model of the double compactified D=11 supermembrane with nontrivial winding in terms of SU(N) valued maps is obtained. The condition of nontrivial winding is described in terms of a nontrivial line bundle introduced in the formulation of the compactified supermembrane. The multivalued geometrical objects of the model related to the nontrivial wrapping are described in terms of a SU(N) geometrical object which in the $ N\to \infty$ limit, converges to the symplectic connection related to the area preserving diffeomorphisms of the recently obtained non-commutative description of the compactified D=11 supermembrane.(I. Martin, J.Ovalle, A. Restuccia. 2000,2001) The SU(N) regularized canonical lagrangian is explicitly obtained. In the $ N\to \infty$ limit it converges to the lagrangian in (I.Martin, J.Ovalle, A.Restuccia. 2000,2001) subject to the nontrivial winding condition. The spectrum of the hamiltonian of the double compactified D=11 supermembrane is discussed. Generically, it contains local string like spikes with zero energy. However the sector of the theory corresponding to a principle bundle characterized by the winding number $n \neq 0$, described by the SU(N) model we propose, is shown to have no local string-like spikes and hence the spectrum of this sector should be discrete. |
1609.06469 | Voja Radovanovic | Marija Dimitrijevic Ciric, Biljana Nikolic and Voja Radovanovic | Noncommutative gravity and the relevance of the $\theta$-constant
deformation | 5 pages | null | 10.1209/0295-5075/118/21002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we construct the noncommutative (NC) gravity model on the
$\theta$-constant NC space-time. We start from the NC $SO(2,3)_\star$ gauge
theory and use the enveloping algebra approach and the Seiberg-Witten map to
construct the effective NC gravity action. The action and the equations of
motion are expanded up to second order in the deformation parameter. The
equations of motion show that the noncommutativity plays a role of a source for
the curvature and/or torsion. Finally, we calculate the NC corrections to the
Minkowski space-time and we show that in the presence of noncommutativity
Minkowski space-time becomes curved, but remains torsion-free. The breaking of
diffeomorphism invariance is understood in terms of the preferred coordinate
system. We show that the coordinates we are using are the Fermi normal
coordinates. This suggests that the natural coordinate system in which one
should study NC gravity is given by the Fermi normal coordinates.
| [
{
"created": "Wed, 21 Sep 2016 09:01:08 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Ciric",
"Marija Dimitrijevic",
""
],
[
"Nikolic",
"Biljana",
""
],
[
"Radovanovic",
"Voja",
""
]
] | In this Letter we construct the noncommutative (NC) gravity model on the $\theta$-constant NC space-time. We start from the NC $SO(2,3)_\star$ gauge theory and use the enveloping algebra approach and the Seiberg-Witten map to construct the effective NC gravity action. The action and the equations of motion are expanded up to second order in the deformation parameter. The equations of motion show that the noncommutativity plays a role of a source for the curvature and/or torsion. Finally, we calculate the NC corrections to the Minkowski space-time and we show that in the presence of noncommutativity Minkowski space-time becomes curved, but remains torsion-free. The breaking of diffeomorphism invariance is understood in terms of the preferred coordinate system. We show that the coordinates we are using are the Fermi normal coordinates. This suggests that the natural coordinate system in which one should study NC gravity is given by the Fermi normal coordinates. |
0707.2204 | Levent Akant | Levent Akant | Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as
Contact Manifolds | 10 pages | null | null | null | hep-th | null | We quantize odd dimensional anti-de Sitter spaces by applying the method of
deforming contact manifolds proposed by Rajeev. The construction in the present
paper consists of the identification of the odd dimensional anti-de Sitter
space as a hypersurface of contact type and the subsequent use of
'symplectization' principle. We also show that this construction generalizes to
any odd dimensional hypersurface which can be represented as a nonzero level
set of a homogenous function.
| [
{
"created": "Sun, 15 Jul 2007 11:41:09 GMT",
"version": "v1"
}
] | 2007-07-17 | [
[
"Akant",
"Levent",
""
]
] | We quantize odd dimensional anti-de Sitter spaces by applying the method of deforming contact manifolds proposed by Rajeev. The construction in the present paper consists of the identification of the odd dimensional anti-de Sitter space as a hypersurface of contact type and the subsequent use of 'symplectization' principle. We also show that this construction generalizes to any odd dimensional hypersurface which can be represented as a nonzero level set of a homogenous function. |
hep-th/0610288 | Arafa Aly Dr. | Jamila Douari and Arafa H Aly | Funnel's Fluctuations in Dyonic Case: Intersecting D1-D3 Branes | 15 pages, 7 figures | null | null | null | hep-th | null | The fluctuations of funnel solutions of intersecting D1 and D3 branes are
quite explicitly discussed by treating different modes and different directions
of the fluctuation at the presence of world volume electric field. The boundary
conditions are found to be Neumann boundary conditions.
| [
{
"created": "Fri, 27 Oct 2006 07:55:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Douari",
"Jamila",
""
],
[
"Aly",
"Arafa H",
""
]
] | The fluctuations of funnel solutions of intersecting D1 and D3 branes are quite explicitly discussed by treating different modes and different directions of the fluctuation at the presence of world volume electric field. The boundary conditions are found to be Neumann boundary conditions. |
hep-th/0006131 | Carlos Pinheiro | Carlos Pinheiro (UFES, Brazil), F.C. Khanna (UofA, Canada) | Black Hole Entropy in 1+1 Dimensions from a Quasi-Chern Simons term in a
Gravitational Background | 8 pages, LaTex | null | null | null | hep-th gr-qc | null | We introduce a 'quasi-topological` term [1] in D=1+1 dimensions and the
entropy for black holes is calculated [2]. The source of entropy in this case
is justified by a non-null stress-energy tensor.
| [
{
"created": "Fri, 16 Jun 2000 22:55:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pinheiro",
"Carlos",
"",
"UFES, Brazil"
],
[
"Khanna",
"F. C.",
"",
"UofA, Canada"
]
] | We introduce a 'quasi-topological` term [1] in D=1+1 dimensions and the entropy for black holes is calculated [2]. The source of entropy in this case is justified by a non-null stress-energy tensor. |
hep-th/0610085 | Ahmad Sheykhi | A. Sheykhi and N. Riazi | Thermodynamics of black holes in $(n+1)$-dimensional
Einstein-Born-Infeld dilaton gravity | 18 pages, 15 figures | Phys.Rev.D75:024021,2007 | 10.1103/PhysRevD.75.024021 | null | hep-th | null | We construct a new class of $(n+1)$-dimensional $(n\geq3)$ black hole
solutions in Einstein-Born-Infeld-dilaton gravity with Liouville-type potential
for the dilaton field and investigate their properties. These solutions are
neither asymptotically flat nor (anti)-de Sitter. We find that these solutions
can represent black holes, with inner and outer event horizons, an extreme
black hole or a naked singularity provided the parameters of the solutions are
chosen suitably. We compute the thermodynamic quantities of the black hole
solutions and find that these quantities satisfy the first law of
thermodynamics. We also perform stability analysis and investigate the effect
of dilaton on the stability of the solutions.
| [
{
"created": "Sun, 8 Oct 2006 06:04:58 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sheykhi",
"A.",
""
],
[
"Riazi",
"N.",
""
]
] | We construct a new class of $(n+1)$-dimensional $(n\geq3)$ black hole solutions in Einstein-Born-Infeld-dilaton gravity with Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black holes, with inner and outer event horizons, an extreme black hole or a naked singularity provided the parameters of the solutions are chosen suitably. We compute the thermodynamic quantities of the black hole solutions and find that these quantities satisfy the first law of thermodynamics. We also perform stability analysis and investigate the effect of dilaton on the stability of the solutions. |
1708.04066 | Andjelo Samsarov | Marija Dimitrijevi\'c \'Ciri\'c, Nikola Konjik, Andjelo Samsarov | Noncommutative Scalar Quasinormal Modes of the Reissner Nordstr\"om
Black Hole | 36 pages, 12 figures; in v2 few explanations added; v3 is a version
that appears in Class.Quant.Grav | Class.Quant.Grav. 35 (2018) no.17, 175005 | 10.1088/1361-6382/aad201 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aiming to search for a signal of space-time noncommutativity, we study a
quasinormal mode spectrum of the Reissner Nordstr\"om black hole in the
presence of a deformed space-time structure. In this context we study a
noncommutative (NC) deformation of a scalar field, minimally coupled to a
classical Reissner Nordstr\"om background. Our model is thus semiclassical from
the beginning and scalar field is in addition minimally coupled to U(1) gauge
field. The deformation is performed via particularly chosen Killing twist to
yield a geometrical form of the action, which maintains the diffeomorphism
invariance manifest, as well as the invariance under a deformed gauge symmetry
group. We find the quasinormal mode solutions of the equations of motion
governing the matter content of the model in some particular range of system
parameters which corresponds to a near extremal limit. In addition, we obtain a
well defined analytical condition which allows for a detailed numerical
analysis. Moreover, there exists a parameter range, rather restrictive though,
which allows for obtaining a QNM spectrum in a closed analytic form. We also
argue within a semiclassical approach that NC deformation does not affect the
Hawking temperature of thermal radiation.
| [
{
"created": "Mon, 14 Aug 2017 10:21:32 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Sep 2017 15:11:28 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Oct 2018 22:37:28 GMT",
"version": "v3"
}
] | 2018-10-18 | [
[
"Ćirić",
"Marija Dimitrijević",
""
],
[
"Konjik",
"Nikola",
""
],
[
"Samsarov",
"Andjelo",
""
]
] | Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner Nordstr\"om black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC) deformation of a scalar field, minimally coupled to a classical Reissner Nordstr\"om background. Our model is thus semiclassical from the beginning and scalar field is in addition minimally coupled to U(1) gauge field. The deformation is performed via particularly chosen Killing twist to yield a geometrical form of the action, which maintains the diffeomorphism invariance manifest, as well as the invariance under a deformed gauge symmetry group. We find the quasinormal mode solutions of the equations of motion governing the matter content of the model in some particular range of system parameters which corresponds to a near extremal limit. In addition, we obtain a well defined analytical condition which allows for a detailed numerical analysis. Moreover, there exists a parameter range, rather restrictive though, which allows for obtaining a QNM spectrum in a closed analytic form. We also argue within a semiclassical approach that NC deformation does not affect the Hawking temperature of thermal radiation. |
0707.4554 | Kyosuke Hotta | Kyosuke Hotta and Takahiro Kubota | Exact Solutions and the Attractor Mechanism in Non-BPS Black Holes | 16 pages, added a few references | Prog.Theor.Phys.118:969-981,2007 | 10.1143/PTP.118.969 | OU-HET 583 | hep-th | null | The attractor mechanism for the four-dimensional ${\cal N}=2$ supergravity
black hole solution is analyzed in the case of the D0-D4 system. Our analyses
are based on newly derived exact solutions, which exhibit explicitly the
attractor mechanism for extremal non-BPS black holes. Our solutions account for
the moduli as general complex fields, while in almost all non-BPS solutions
obtained previously, the moduli fields are restricted to be purely imaginary.
It is also pointed out that our moduli solutions contain an extra parameter
that is not contained in solutions obtained by replacing the charges in the
double extremal moduli solutions by the corresponding harmonic functions.
| [
{
"created": "Tue, 31 Jul 2007 07:54:20 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Aug 2007 09:13:32 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Nov 2007 07:47:59 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hotta",
"Kyosuke",
""
],
[
"Kubota",
"Takahiro",
""
]
] | The attractor mechanism for the four-dimensional ${\cal N}=2$ supergravity black hole solution is analyzed in the case of the D0-D4 system. Our analyses are based on newly derived exact solutions, which exhibit explicitly the attractor mechanism for extremal non-BPS black holes. Our solutions account for the moduli as general complex fields, while in almost all non-BPS solutions obtained previously, the moduli fields are restricted to be purely imaginary. It is also pointed out that our moduli solutions contain an extra parameter that is not contained in solutions obtained by replacing the charges in the double extremal moduli solutions by the corresponding harmonic functions. |
0801.0106 | Hitoshi Nishino | Hitoshi Nishino and Subhash Rajpoot | Dilaton and Second-Rank Tensor Fields as Supersymmetric Compensators | 15 pages, no figures | Phys.Rev.D76:065004,2007 | 10.1103/PhysRevD.76.065004 | CSULB-PA-06-6 | hep-th | null | We formulate a supersymmetric theory in which both a dilaton and a
second-rank tensor play roles of compensators. The basic off-shell multiplets
are a linear multiplet (B_{\mu\nu}, \chi, \phi) and a vector multiplet (A_\mu,
\l; C_{\mu\nu\rho}), where \phi and B_{\m\n} are respectively a dilaton and a
second-rank tensor. The third-rank tensor C_{\mu\nu\rho} in the vector
multiplet is 'dual' to the conventional D-field with 0 on-shell or 1 off-shell
degree of freedom. The dilaton \phi is absorbed into one longitudinal component
of A_\mu, making it massive. Initially, B_{\mu\nu} has 1 on-shell or 3
off-shell degrees of freedom, but it is absorbed into the longitudinal
components of C_{\mu\nu\rho}. Eventually, C_{\mu\nu\rho} with 0 on-shell or 1
off-shell degree of freedom acquires in total 1 on-shell or 4 off-shell degrees
of freedom, turning into a propagating massive field. These basic multiplets
are also coupled to chiral multiplets and a supersymmetric Dirac-Born-Infeld
action. Some of these results are also reformulated in superspace. The proposed
mechanism may well provide a solution to the long-standing puzzle of massless
dilatons and second-rank tensors in supersymmetric models inspired by string
theory.
| [
{
"created": "Sun, 30 Dec 2007 03:05:14 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] | We formulate a supersymmetric theory in which both a dilaton and a second-rank tensor play roles of compensators. The basic off-shell multiplets are a linear multiplet (B_{\mu\nu}, \chi, \phi) and a vector multiplet (A_\mu, \l; C_{\mu\nu\rho}), where \phi and B_{\m\n} are respectively a dilaton and a second-rank tensor. The third-rank tensor C_{\mu\nu\rho} in the vector multiplet is 'dual' to the conventional D-field with 0 on-shell or 1 off-shell degree of freedom. The dilaton \phi is absorbed into one longitudinal component of A_\mu, making it massive. Initially, B_{\mu\nu} has 1 on-shell or 3 off-shell degrees of freedom, but it is absorbed into the longitudinal components of C_{\mu\nu\rho}. Eventually, C_{\mu\nu\rho} with 0 on-shell or 1 off-shell degree of freedom acquires in total 1 on-shell or 4 off-shell degrees of freedom, turning into a propagating massive field. These basic multiplets are also coupled to chiral multiplets and a supersymmetric Dirac-Born-Infeld action. Some of these results are also reformulated in superspace. The proposed mechanism may well provide a solution to the long-standing puzzle of massless dilatons and second-rank tensors in supersymmetric models inspired by string theory. |
1201.5480 | Javier Tarrio | Javier Tarrio | Asymptotically Lifshitz Black Holes in Einstein-Maxwell-Dilaton Theories | 6 pages. Contribution to the proceedings of the "XVII European
Workshop on String Theory 2011", Padova, Italy, 5-9 September 2011, to be
published in Fortschritte der Physik | null | 10.1002/prop.201200011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Einstein-Maxwell-dilaton theories with a cosmological constant and
U(1)^N gauge symmetry, considering metrics asymptotically approaching the
Lifshiftz metric. We study the dependence of the phase diagram on the value of
the dynamical exponent. Along the way, we apply holographic renormalization and
propose a counterterm valid for arbitrary dimension and dynamical exponent in
our setup.
| [
{
"created": "Thu, 26 Jan 2012 10:39:39 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Tarrio",
"Javier",
""
]
] | We study Einstein-Maxwell-dilaton theories with a cosmological constant and U(1)^N gauge symmetry, considering metrics asymptotically approaching the Lifshiftz metric. We study the dependence of the phase diagram on the value of the dynamical exponent. Along the way, we apply holographic renormalization and propose a counterterm valid for arbitrary dimension and dynamical exponent in our setup. |
0709.2540 | Thomas Larsson | T. A. Larsson | Manifestly covariant canonical quantization of gravity and
diffeomorphism anomalies in four dimensions | In: Focus on quantum gravity research, ed: David C. Moore, pp
261-310, 2006 Nova Science Publishers Inc. ISBN 1-59454-660-6 | null | null | null | hep-th gr-qc | null | Canonical quantization of gravity requires knowledge about the representation
theory of its constraint algebra, which is physically equivalent to the algebra
of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations
are projective, making the relevant algebra into a four-dimensional
generalization of the Virasoro algebra. Such diffeomorphism anomalies are
invisible in field theory, because the relevant cocycles are functionals of the
observer's trajectory in spacetime. The multi-dimensional Virasoro algebra acts
naturally in the phase space of arbitrary histories, with dynamics playing the
role of first-class constraints. General relativity is regularized by expanding
all fields in Taylor series around the observer's trajectory, and truncating at
some fixed order. This regularized but manifestly general-covariant theory is
quantized in the history phase space, and dynamics is imposed afterwards, in
analogy with BRST quantization. Infinities arise when the regularization is
removed; it is presently unclear how these should be dealt with.
| [
{
"created": "Mon, 17 Sep 2007 07:46:22 GMT",
"version": "v1"
}
] | 2007-09-20 | [
[
"Larsson",
"T. A.",
""
]
] | Canonical quantization of gravity requires knowledge about the representation theory of its constraint algebra, which is physically equivalent to the algebra of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations are projective, making the relevant algebra into a four-dimensional generalization of the Virasoro algebra. Such diffeomorphism anomalies are invisible in field theory, because the relevant cocycles are functionals of the observer's trajectory in spacetime. The multi-dimensional Virasoro algebra acts naturally in the phase space of arbitrary histories, with dynamics playing the role of first-class constraints. General relativity is regularized by expanding all fields in Taylor series around the observer's trajectory, and truncating at some fixed order. This regularized but manifestly general-covariant theory is quantized in the history phase space, and dynamics is imposed afterwards, in analogy with BRST quantization. Infinities arise when the regularization is removed; it is presently unclear how these should be dealt with. |
hep-th/0512233 | Peter Horvathy | P. A. Horvathy | Dynamal (super)symmetries of monopoles and vortices | Minor corrections.18 pages, no figures. Based on a review talk given
at the International Symposium on Advanced Topics in Quantum Physics,
Shanxi'92. Ed. J.-Q. Liang, M.-L. Wang, S.-N. Qiao, D.C. Su. pp. 283- 293.
Science Press, Beijing (1993) [Tours Preprint N. 47/92], and on Tours
Preprint N. 60/93 (1993) (unpublished) | Rev.Math.Phys.18:329-347,2006 | 10.1142/S0129055X06002668 | Tours Preprints N. 47/92 and No 60/93 | hep-th | null | The dynamical (super)symmetries for various monopole systems are reviewed.
For a Dirac monopole, no smooth Runge-Lenz vector can exist; there is, however,
a spectrum-generating conformal $o(2,1)$ dynamical symmetry that extends into
$osp(1/1)$ or $osp(1/2)$ for spin 1/2 particles. Self-dual 't
Hooft-Polyakov-type monopoles admit an $su(2/2)$ dynamical supersymmetry
algebra, which allows us to reduce the fluctuation equation to the spin zero
case. For large $r$ the system reduces to a Dirac monopole plus an suitable
inverse-square potential considered before by McIntosh and Cisneros, and by
Zwanziger in the spin 0 case, and to the `dyon' of D'Hoker and Vinet for spin
1/2. The asymptotic system admits a Kepler-type dynamical symmetry as well as a
`helicity-supersymmetry' analogous to the one Biedenharn found in the
relativistic Kepler problem. Similar results hold for the Kaluza-Klein monopole
of Gross-Perry-Sorkin. For the magnetic vortex, the N=2 supersymmetry of the
Pauli Hamiltonian in a static magnetic field in the plane combines with the
$o(2)\times o(2,1)$ bosonic symmetry into an $o(2)\times osp(1/2)$ dynamical
superalgebra.
| [
{
"created": "Mon, 19 Dec 2005 10:34:57 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2006 13:00:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Horvathy",
"P. A.",
""
]
] | The dynamical (super)symmetries for various monopole systems are reviewed. For a Dirac monopole, no smooth Runge-Lenz vector can exist; there is, however, a spectrum-generating conformal $o(2,1)$ dynamical symmetry that extends into $osp(1/1)$ or $osp(1/2)$ for spin 1/2 particles. Self-dual 't Hooft-Polyakov-type monopoles admit an $su(2/2)$ dynamical supersymmetry algebra, which allows us to reduce the fluctuation equation to the spin zero case. For large $r$ the system reduces to a Dirac monopole plus an suitable inverse-square potential considered before by McIntosh and Cisneros, and by Zwanziger in the spin 0 case, and to the `dyon' of D'Hoker and Vinet for spin 1/2. The asymptotic system admits a Kepler-type dynamical symmetry as well as a `helicity-supersymmetry' analogous to the one Biedenharn found in the relativistic Kepler problem. Similar results hold for the Kaluza-Klein monopole of Gross-Perry-Sorkin. For the magnetic vortex, the N=2 supersymmetry of the Pauli Hamiltonian in a static magnetic field in the plane combines with the $o(2)\times o(2,1)$ bosonic symmetry into an $o(2)\times osp(1/2)$ dynamical superalgebra. |
hep-th/9907140 | Richard Szabo | Kasper Olsen and Richard J. Szabo | Constructing D-Branes from K-Theory | 112 pages LaTeX, 1 .eps file, uses epsf.tex; Run 3 times to generate
table of contents properly; Typos corrected | Adv.Theor.Math.Phys. 3 (1999) 889-1025 | null | NBI-HE-99-17 | hep-th gr-qc math-ph math.KT math.MP | null | A detailed review of recent developments in the topological classification of
D-branes in superstring theory is presented. Beginning with a thorough,
self-contained introduction to the techniques and applications of topological
K-theory, the relationships between the classic constructions of K-theory and
the recent realizations of D-branes as tachyonic solitons, coming from bound
states of higher dimensional systems of unstable branes, are described. It is
shown how the K-theory formalism naturally reproduces the known spectra of BPS
and non-BPS D-branes, and how it can be systematically used to predict the
existence of new states. The emphasis is placed on the new interpretations of
D-branes as conventional topological solitons in other brane worldvolumes, how
the mathematical formalism can be used to deduce the gauge field content on
both supersymmetric and non-BPS branes, and also how K-theory predicts new
relationships between the various superstring theories and their D-brane
spectra. The implementations of duality symmetries as natural isomorphisms of
K-groups are discussed. The relationship with the standard cohomological
classification is presented and used to derive an explicit formula for D-brane
charges. Some string theoretical constructions of the K-theory predictions are
also briefly described.
| [
{
"created": "Fri, 16 Jul 1999 18:05:24 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Aug 1999 14:59:19 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Olsen",
"Kasper",
""
],
[
"Szabo",
"Richard J.",
""
]
] | A detailed review of recent developments in the topological classification of D-branes in superstring theory is presented. Beginning with a thorough, self-contained introduction to the techniques and applications of topological K-theory, the relationships between the classic constructions of K-theory and the recent realizations of D-branes as tachyonic solitons, coming from bound states of higher dimensional systems of unstable branes, are described. It is shown how the K-theory formalism naturally reproduces the known spectra of BPS and non-BPS D-branes, and how it can be systematically used to predict the existence of new states. The emphasis is placed on the new interpretations of D-branes as conventional topological solitons in other brane worldvolumes, how the mathematical formalism can be used to deduce the gauge field content on both supersymmetric and non-BPS branes, and also how K-theory predicts new relationships between the various superstring theories and their D-brane spectra. The implementations of duality symmetries as natural isomorphisms of K-groups are discussed. The relationship with the standard cohomological classification is presented and used to derive an explicit formula for D-brane charges. Some string theoretical constructions of the K-theory predictions are also briefly described. |
hep-th/0603246 | Jimmy Hutasoit | R. Holman and Jimmy A. Hutasoit | Axionic Inflation from Large Volume Flux Compactifications | 4 pages, 2 figures, RevTex | null | null | null | hep-th | null | We find a general model of {\em single-field} inflation within the context of
type IIB string theory compactified on large volume Calabi-Yau orientifolds
with $h^{2,1} > h^{1,1} = 2$. The inflaton is the axion part of the
complexified K\"{a}hler moduli and the resulting scalar power spectrum is red,
and can easily be made compatible with WMAP3 bounds on $n_s$. This model
overcomes the $\eta$-problem using gaugino condensates on wrapped D7-brane
while keeping the tuning of the parameters minimal.
| [
{
"created": "Thu, 30 Mar 2006 18:50:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Holman",
"R.",
""
],
[
"Hutasoit",
"Jimmy A.",
""
]
] | We find a general model of {\em single-field} inflation within the context of type IIB string theory compactified on large volume Calabi-Yau orientifolds with $h^{2,1} > h^{1,1} = 2$. The inflaton is the axion part of the complexified K\"{a}hler moduli and the resulting scalar power spectrum is red, and can easily be made compatible with WMAP3 bounds on $n_s$. This model overcomes the $\eta$-problem using gaugino condensates on wrapped D7-brane while keeping the tuning of the parameters minimal. |
1408.0795 | Ioannis Papadimitriou | Wissam Chemissany and Ioannis Papadimitriou | Lifshitz holography: The whole shebang | 83 pages, 1 figure | null | 10.1007/JHEP01(2015)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a general algorithm for constructing the holographic dictionary
for any asymptotically locally Lifshitz background, with or without
hyperscaling violation, and for any values of the dynamical exponents $z$ and
$\theta$, as well as the vector hyperscaling violating exponent, that are
compatible with the null energy condition. The analysis is carried out for a
very general bottom up model of gravity coupled to a massive vector field and a
dilaton with arbitrary scalar couplings. The solution of the radial
Hamilton-Jacobi equation is obtained recursively in the form of a graded
expansion in eigenfunctions of two commuting operators, which are the
appropriate generalization of the dilatation operator for non scale invariant
and Lorentz violating boundary conditions. The Fefferman-Graham expansions, the
sources and 1-point functions of the dual operators, the Ward identities, as
well as the local counterterms required for holographic renormalization all
follow from this asymptotic solution of the radial Hamilton-Jacobi equation. We
also find a family of exact backgrounds with $z>1$ and $\theta>0$ corresponding
to a marginal deformation shifting the vector hyperscaling violating parameter
and we present an example where the conformal anomaly contains the only $z=2$
conformal invariant in $d=2$ with four spatial derivatives.
| [
{
"created": "Mon, 4 Aug 2014 20:00:02 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Chemissany",
"Wissam",
""
],
[
"Papadimitriou",
"Ioannis",
""
]
] | We provide a general algorithm for constructing the holographic dictionary for any asymptotically locally Lifshitz background, with or without hyperscaling violation, and for any values of the dynamical exponents $z$ and $\theta$, as well as the vector hyperscaling violating exponent, that are compatible with the null energy condition. The analysis is carried out for a very general bottom up model of gravity coupled to a massive vector field and a dilaton with arbitrary scalar couplings. The solution of the radial Hamilton-Jacobi equation is obtained recursively in the form of a graded expansion in eigenfunctions of two commuting operators, which are the appropriate generalization of the dilatation operator for non scale invariant and Lorentz violating boundary conditions. The Fefferman-Graham expansions, the sources and 1-point functions of the dual operators, the Ward identities, as well as the local counterterms required for holographic renormalization all follow from this asymptotic solution of the radial Hamilton-Jacobi equation. We also find a family of exact backgrounds with $z>1$ and $\theta>0$ corresponding to a marginal deformation shifting the vector hyperscaling violating parameter and we present an example where the conformal anomaly contains the only $z=2$ conformal invariant in $d=2$ with four spatial derivatives. |
1603.02860 | Jen-Chi Lee | Sheng-Hong Lai, Jen-Chi Lee and I-Hsun Tsai | Yang-Mills Instanton Sheaves | 31 pages, no figure. v2: 32 pages,typos corrected. arXiv admin note:
text overlap with arXiv:1412.1360. v3 typos corrected. to be published in
Ann. Phys. v4 typos corrected. v5 : typos in Eqs.(4.76b),(4.79),(4.81) and
(4.82c) corrected. v6 : The appendix was misleading and thus removed | null | 10.1016/j.aop.2016.10.012 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The SL(2,C) Yang-Mills instanton solutions constructed recently by the
biquaternion method were shown to satisfy the complex version of the ADHM
equations and the Monad construction. Moreover, we discover that, in addition
to the holomorphic vector bundles on CP^3 similar to the case of SU(2) ADHM
construction, the SL(2,C) instanton solutions can be used to explicitly
construct instanton sheaves on CP^3. Presumably, the existence of these
instanton sheaves is related to the singularities of the SL(2,C) instantons on
S^4 which do not exist for SU(2) instantons.
| [
{
"created": "Wed, 9 Mar 2016 12:04:03 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2016 20:05:01 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Oct 2016 13:58:42 GMT",
"version": "v3"
},
{
"created": "Sat, 29 Oct 2016 06:57:58 GMT",
"version": "v4"
},
{
"created": "Fri, 28 Jul 2017 07:50:02 GMT",
"version": "v5"
},
{
"created": "Tue, 13 Mar 2018 07:29:41 GMT",
"version": "v6"
}
] | 2018-03-14 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Tsai",
"I-Hsun",
""
]
] | The SL(2,C) Yang-Mills instanton solutions constructed recently by the biquaternion method were shown to satisfy the complex version of the ADHM equations and the Monad construction. Moreover, we discover that, in addition to the holomorphic vector bundles on CP^3 similar to the case of SU(2) ADHM construction, the SL(2,C) instanton solutions can be used to explicitly construct instanton sheaves on CP^3. Presumably, the existence of these instanton sheaves is related to the singularities of the SL(2,C) instantons on S^4 which do not exist for SU(2) instantons. |
hep-th/9304035 | null | J. A. Dixon and R. Minasian | BRS Cohomology of the Supertranslations in D=4 | 14 pages, CTP-TAMU-13/93 | Commun.Math.Phys.172:1-12,1995 | 10.1007/BF02104508 | null | hep-th | null | Supersymmetry transformations are a kind of square root of spacetime
translations. The corresponding Lie superalgebra always contains the
supertranslation operator $ \delta = c^{\alpha} \sigma^{\mu}_{\alpha \dot
\beta} {\overline c}^{\dot \beta} (\epsilon^{\mu})^{\dag} $. We find that the
cohomology of this operator depends on a spin-orbit coupling in an SU(2) group
and has a quite complicated structure. This spin-orbit type coupling will turn
out to be basic in the cohomology of supersymmetric field theories in general.
| [
{
"created": "Thu, 8 Apr 1993 19:24:36 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dixon",
"J. A.",
""
],
[
"Minasian",
"R.",
""
]
] | Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator $ \delta = c^{\alpha} \sigma^{\mu}_{\alpha \dot \beta} {\overline c}^{\dot \beta} (\epsilon^{\mu})^{\dag} $. We find that the cohomology of this operator depends on a spin-orbit coupling in an SU(2) group and has a quite complicated structure. This spin-orbit type coupling will turn out to be basic in the cohomology of supersymmetric field theories in general. |
hep-th/0511044 | Kasper Peeters | Kasper Peeters, Jacob Sonnenschein and Marija Zamaklar | Holographic decays of large-spin mesons | 40 pages, 16 figures; v2: some clarifications added, typos corrected;
v3: references added | JHEP 0602 (2006) 009 | 10.1088/1126-6708/2006/02/009 | AEI-2005-150, TAUP-2815/05 | hep-th hep-ph nucl-th | null | We study the decay process of large-spin mesons in the context of the
gauge/string duality, using generic properties of confining backgrounds and
systems with flavour branes. In the string picture, meson decay corresponds to
the quantum-mechanical process in which a string rotating on the IR "wall"
fluctuates, touches a flavour brane and splits into two smaller strings. This
process automatically encodes flavour conservation as well as the Zweig rule.
We show that the decay width computed in the string picture is in remarkable
agreement with the decay width obtained using the phenomenological Lund model.
| [
{
"created": "Thu, 3 Nov 2005 20:48:07 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Nov 2005 08:15:16 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Jan 2006 11:56:28 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Peeters",
"Kasper",
""
],
[
"Sonnenschein",
"Jacob",
""
],
[
"Zamaklar",
"Marija",
""
]
] | We study the decay process of large-spin mesons in the context of the gauge/string duality, using generic properties of confining backgrounds and systems with flavour branes. In the string picture, meson decay corresponds to the quantum-mechanical process in which a string rotating on the IR "wall" fluctuates, touches a flavour brane and splits into two smaller strings. This process automatically encodes flavour conservation as well as the Zweig rule. We show that the decay width computed in the string picture is in remarkable agreement with the decay width obtained using the phenomenological Lund model. |
hep-th/9712102 | Alexei Semikhatov | A M Semikhatov and V A Sirota (Lebedev Physics Institute) | Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules | LaTeX 2.09, 52pp | null | null | null | hep-th math.QA q-alg | null | We classify and explicitly construct the embedding diagrams of Verma modules
over the N=2 supersymmetric extension of the Virasoro algebra. The essential
ingredient of the solution consists in drawing the distinction between two
different types of submodules appearing in N=2 Verma modules. The problem is
simplified by associating to every N=2 Verma module a relaxed Verma module over
the affine algebra ^sl(2) with an isomorphic embedding diagram. We then make
use of the mechanism according to which the structure of the N=2/relaxed-sl(2)
embedding diagrams can be found knowing the standard embedding diagrams of
^sl(2) Verma modules. The resulting classification of the N=2/relaxed-^sl(2)
embedding diagrams follows the I-II-III pattern extended by an additional
indication of the number (0, 1, or 2) and the twists of the standard ^sl(2)
embedding diagrams contained in a given N=2/relaxed-^sl(2) embedding diagram.
| [
{
"created": "Tue, 9 Dec 1997 22:27:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Semikhatov",
"A M",
"",
"Lebedev Physics Institute"
],
[
"Sirota",
"V A",
"",
"Lebedev Physics Institute"
]
] | We classify and explicitly construct the embedding diagrams of Verma modules over the N=2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution consists in drawing the distinction between two different types of submodules appearing in N=2 Verma modules. The problem is simplified by associating to every N=2 Verma module a relaxed Verma module over the affine algebra ^sl(2) with an isomorphic embedding diagram. We then make use of the mechanism according to which the structure of the N=2/relaxed-sl(2) embedding diagrams can be found knowing the standard embedding diagrams of ^sl(2) Verma modules. The resulting classification of the N=2/relaxed-^sl(2) embedding diagrams follows the I-II-III pattern extended by an additional indication of the number (0, 1, or 2) and the twists of the standard ^sl(2) embedding diagrams contained in a given N=2/relaxed-^sl(2) embedding diagram. |
2210.02006 | Yun Zhi Du | Yun-Zhi Du, Huai-Fan Li, Yang Zhang, Xiang-Nan Zhou, and Jun-Xin Zhao | Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS
black hole | null | Entropy 2023, 25(4), 687 | 10.3390/e25040687 | Entropy 2023, 25(4), 687; https://doi.org/10.3390/e25040687 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the thermodynamics of the Einstein-Power-Yang-Mills AdS black
holes in the context of the gauge-gravity duality. Under this framework, the
Newton's gravitational constant and the cosmological constant are varied in the
system. We rewrite the thermodynamical first law in a more extended form
containing both the pressure and the central charge of the dual conformal field
theory, i.e., the restricted phase transition formula. A novel phenomena
arises: the dual quantity of pressure is the effective volume, not the
geometric one. That is leading to a new behavior of the Van de Waals-like phase
transition for this system with the fixed central charge: the supercritical
phase transition. From the Ehrenfest's scheme perspective, we check out the
second-order phase transition of the EPYM AdS black hole. Furthermore the
effect of non-linear Yang-Mills parameter on these thermodynamical properties
is also investigated.
| [
{
"created": "Wed, 5 Oct 2022 03:37:21 GMT",
"version": "v1"
}
] | 2023-04-21 | [
[
"Du",
"Yun-Zhi",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Zhang",
"Yang",
""
],
[
"Zhou",
"Xiang-Nan",
""
],
[
"Zhao",
"Jun-Xin",
""
]
] | We consider the thermodynamics of the Einstein-Power-Yang-Mills AdS black holes in the context of the gauge-gravity duality. Under this framework, the Newton's gravitational constant and the cosmological constant are varied in the system. We rewrite the thermodynamical first law in a more extended form containing both the pressure and the central charge of the dual conformal field theory, i.e., the restricted phase transition formula. A novel phenomena arises: the dual quantity of pressure is the effective volume, not the geometric one. That is leading to a new behavior of the Van de Waals-like phase transition for this system with the fixed central charge: the supercritical phase transition. From the Ehrenfest's scheme perspective, we check out the second-order phase transition of the EPYM AdS black hole. Furthermore the effect of non-linear Yang-Mills parameter on these thermodynamical properties is also investigated. |
hep-th/0209219 | Jeong-Hyuck Park | Seungjoon Hyun and Jeong-Hyuck Park | 5D action for longitudinal five branes on a pp-wave | 1+19 pages, No figure, JHEP style; a reference added, to appear in
JHEP | JHEP 0211 (2002) 001 | 10.1088/1126-6708/2002/11/001 | KIAS-P02058 | hep-th | null | String modes in a pp-wave background are generically massive, and the
worldvolume description of the branes is to be given by `massive' gauge
theories. In this paper, we present a five dimensional super Yang-Mills action
with the Kahler-Chern-Simons term plus the Myers term as a low energy
worldvolume description of the longitudinal five branes in a maximally
supersymmetric pp-wave background. We derive the action from the M-theory
matrix model on the pp-wave. We utilize the previously found 4/32 BPS solution
of rotating five branes with stacks of membranes, but, to obtain the static
configuration, we reformulate the matrix model in a rotating coordinate system
which provides the inertial frame for the branes. Expanding the matrix model
around the solution, we first obtain a non-commutative field theory action
naturally equipped with the full sixteen dynamical supersymmetries. In the
commutative limit, we show only four supersymmetries survive, resulting in a
novel five dimensional "N=1/2" theory.
| [
{
"created": "Thu, 26 Sep 2002 08:35:34 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2002 04:21:34 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | String modes in a pp-wave background are generically massive, and the worldvolume description of the branes is to be given by `massive' gauge theories. In this paper, we present a five dimensional super Yang-Mills action with the Kahler-Chern-Simons term plus the Myers term as a low energy worldvolume description of the longitudinal five branes in a maximally supersymmetric pp-wave background. We derive the action from the M-theory matrix model on the pp-wave. We utilize the previously found 4/32 BPS solution of rotating five branes with stacks of membranes, but, to obtain the static configuration, we reformulate the matrix model in a rotating coordinate system which provides the inertial frame for the branes. Expanding the matrix model around the solution, we first obtain a non-commutative field theory action naturally equipped with the full sixteen dynamical supersymmetries. In the commutative limit, we show only four supersymmetries survive, resulting in a novel five dimensional "N=1/2" theory. |
hep-th/0206206 | Shinobu Hosono | Shinobu Hosono | Counting BPS States via Holomorphic Anomaly Equations | AMS-Latex, 30 pages; Table 3,4 and typos corrected and references
added | null | null | null | hep-th math.AG | null | We study Gromov-Witten invariants of a rational elliptic surface using
holomorphic anomaly equation in [HST1](hep-th/9901151). Formulating invariance
under the affine $E_8$ Weyl group symmetry, we determine conjectured
invariants, the number of BPS states, from Gromov-Witten invariants. We also
connect our holomorphic anomaly equation to that found by
Bershadsky,Cecotti,Ooguri and Vafa [BCOV1](hep-th/9302103).
| [
{
"created": "Fri, 21 Jun 2002 21:48:16 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2002 22:33:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hosono",
"Shinobu",
""
]
] | We study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation in [HST1](hep-th/9901151). Formulating invariance under the affine $E_8$ Weyl group symmetry, we determine conjectured invariants, the number of BPS states, from Gromov-Witten invariants. We also connect our holomorphic anomaly equation to that found by Bershadsky,Cecotti,Ooguri and Vafa [BCOV1](hep-th/9302103). |
0902.4031 | Luca Martucci | Luca Martucci | On moduli and effective theory of N=1 warped flux compactifications | 54 pages; v3: comments and references added, version published in
JHEP | null | 10.1088/1126-6708/2009/05/027 | LMU-ASC 13/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The moduli space of N=1 type II warped compactions to flat space with generic
internal fluxes is studied. Using the underlying integrable generalized complex
structure that characterizes these vacua, the different deformations are
classified by H-twisted generalized cohomologies and identified with chiral and
linear multiplets of the effective four-dimensional theory. The Kaehler
potential for chiral fields corresponding to classically flat moduli is
discussed. As an application of the general results, type IIB warped Calabi-Yau
compactifications and other SU(3)-structure subcases are considered in more
detail.
| [
{
"created": "Tue, 24 Feb 2009 07:40:15 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Mar 2009 21:36:14 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 2009 08:32:53 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Martucci",
"Luca",
""
]
] | The moduli space of N=1 type II warped compactions to flat space with generic internal fluxes is studied. Using the underlying integrable generalized complex structure that characterizes these vacua, the different deformations are classified by H-twisted generalized cohomologies and identified with chiral and linear multiplets of the effective four-dimensional theory. The Kaehler potential for chiral fields corresponding to classically flat moduli is discussed. As an application of the general results, type IIB warped Calabi-Yau compactifications and other SU(3)-structure subcases are considered in more detail. |
hep-th/9908165 | Igor R. Klebanov | Igor R. Klebanov | Absorption by Threebranes and the AdS/CFT Correspondence | 14 pages, LaTeX; Talk at Strings '99, Potsdam, Germany | Class.Quant.Grav. 17 (2000) 1161-1170 | 10.1088/0264-9381/17/5/325 | PUPT-1888 | hep-th | null | In the first part of this talk I discuss two somewhat different supergravity
approaches to calculating correlation functions in strongly coupled Yang-Mills
theory. The older approach relates two-point functions to cross-sections for
absorption of certain incident quanta by threebranes. In this approach the
normalization of operators corresponding to the incident particles is fixed
unambiguously by the D3-brane DBI action. By calculating absorption
cross-sections of all partial waves of the dilaton we find corresponding
two-point functions at strong `t Hooft coupling and show that they are
identical to the weak coupling results. The newer approach to correlation
functions relates them to boundary conditions in AdS space. Using this method
we show that for a certain range of negative mass-squared there are two
possible operator dimensions corresponding to a given scalar field in AdS, and
indicate how to calculate correlation functions for either of these choices. In
the second part of the talk I discuss an example of AdS/CFT duality which
arises in the context of type 0 string theory. The CFT on N coincident electric
and magnetic D3-branes is argued to be stable for sufficiently weak `t Hooft
coupling. It is suggested that its transition to instability at a critical
coupling is related to singularity of planar diagrams.
| [
{
"created": "Wed, 25 Aug 1999 17:45:14 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Klebanov",
"Igor R.",
""
]
] | In the first part of this talk I discuss two somewhat different supergravity approaches to calculating correlation functions in strongly coupled Yang-Mills theory. The older approach relates two-point functions to cross-sections for absorption of certain incident quanta by threebranes. In this approach the normalization of operators corresponding to the incident particles is fixed unambiguously by the D3-brane DBI action. By calculating absorption cross-sections of all partial waves of the dilaton we find corresponding two-point functions at strong `t Hooft coupling and show that they are identical to the weak coupling results. The newer approach to correlation functions relates them to boundary conditions in AdS space. Using this method we show that for a certain range of negative mass-squared there are two possible operator dimensions corresponding to a given scalar field in AdS, and indicate how to calculate correlation functions for either of these choices. In the second part of the talk I discuss an example of AdS/CFT duality which arises in the context of type 0 string theory. The CFT on N coincident electric and magnetic D3-branes is argued to be stable for sufficiently weak `t Hooft coupling. It is suggested that its transition to instability at a critical coupling is related to singularity of planar diagrams. |
1506.00974 | John Joseph Carrasco | John Joseph M. Carrasco | Gauge and Gravity Amplitude Relations | Presented at the Theoretical Advanced Study Institute (TASI 2014),
Boulder, CO, June 2-27, 2014 | null | 10.1142/9789814678766_0011 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lectures I talk about simplifications and universalities found in
scattering amplitudes for gauge and gravity theories. In contrast to Ward
identities, which are understood to arise from familiar symmetries of the
classical action, these structures are currently only understood in terms of
graphical organizational principles, such as the gauge-theoretic
color-kinematics duality and the gravitational double-copy structure, for local
representations of multi-loop S-matrix elements. These graphical principles
make manifest new relationships in and between gauge and gravity scattering
amplitudes. My lectures will focus on arriving at such graphical organizations
for generic theories with examples presented from maximal supersymmetry, and
their use in unitarity-based multi-loop integrand construction.
| [
{
"created": "Tue, 2 Jun 2015 17:53:32 GMT",
"version": "v1"
}
] | 2015-11-10 | [
[
"Carrasco",
"John Joseph M.",
""
]
] | In these lectures I talk about simplifications and universalities found in scattering amplitudes for gauge and gravity theories. In contrast to Ward identities, which are understood to arise from familiar symmetries of the classical action, these structures are currently only understood in terms of graphical organizational principles, such as the gauge-theoretic color-kinematics duality and the gravitational double-copy structure, for local representations of multi-loop S-matrix elements. These graphical principles make manifest new relationships in and between gauge and gravity scattering amplitudes. My lectures will focus on arriving at such graphical organizations for generic theories with examples presented from maximal supersymmetry, and their use in unitarity-based multi-loop integrand construction. |
hep-th/9808188 | Tamiaki Yoneya | Yuji Okawa and Tamiaki Yoneya | Equations of Motion and Galilei Invariance in D-Particle Dynamics | 19 pages, no figures, LaTeX | Nucl.Phys. B541 (1999) 163-178 | 10.1016/S0550-3213(98)00769-X | UT-Komaba/98-21 | hep-th | null | As a continuation of our previous work on the multi-body forces of
D-particles in supergravity and Matrix theory, we investigate the problem of
motion. We show that the scattering of D-particles including recoil derived in
Matrix theory is precisely reproduced by supergravity with the discrete
light-cone prescription up to the second order in 11 dimensional Newton
constant. An intimate connection of recoil and Galilei invariance in
supergravity is pointed out and elucidated.
| [
{
"created": "Mon, 31 Aug 1998 09:06:54 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Okawa",
"Yuji",
""
],
[
"Yoneya",
"Tamiaki",
""
]
] | As a continuation of our previous work on the multi-body forces of D-particles in supergravity and Matrix theory, we investigate the problem of motion. We show that the scattering of D-particles including recoil derived in Matrix theory is precisely reproduced by supergravity with the discrete light-cone prescription up to the second order in 11 dimensional Newton constant. An intimate connection of recoil and Galilei invariance in supergravity is pointed out and elucidated. |
hep-th/0601187 | H. T. Ozer | H.T. Ozer and S.Salihoglu | Nonlinear Schrodinger Equations and Virasoro Algebra | 6 pages, no figures, LaTex file. Chaos, Solitons & Fractals, In
Press, Corrected Proof, Available online 1 December 2005 | ChaosSolitonsFractals30:363-366,2006 | 10.1016/j.chaos.2005.10.054 | null | hep-th math-ph math.MP nlin.SI | null | By using AKNS scheme and soliton connection taking values in a Virasoro
algebra we obtain new coupled Nonlinear Schrodinger equations.
| [
{
"created": "Wed, 25 Jan 2006 10:02:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ozer",
"H. T.",
""
],
[
"Salihoglu",
"S.",
""
]
] | By using AKNS scheme and soliton connection taking values in a Virasoro algebra we obtain new coupled Nonlinear Schrodinger equations. |
2107.11776 | Sara Kanzi | Sara Kanzi, \.Izzet Sakall{\i} | GUP modified Hawking Radiation and Transmission/Reflection Coefficients
of Rotating Polytropic Black Hole | null | European Physical Journal Plus 137, 14 (2022) | 10.1140/epjp/s13360-021-02245-7 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the GUP (Generalized Uncertainty Principle) modified
Hawking radiation of rotating polytropic black hole given in the
Boyer-Lindquist coordinates. To this end, the GUP modified Klein-Gordon
equation is applied for investigating the quantum tunneling of scalar particles
from the polytropic black hole. After reducing the obtained radial wave
equation to the one-dimensional Schr\"{o}dinger equation, we derive the
reflection and transmission probabilities of the radiation. A detail discussion
on how the reflection and transmission (greybody factor) probabilities are
derived for this black hole is given. The results are graphically depicted and
the relevant physical interpretations are made.
| [
{
"created": "Sun, 25 Jul 2021 10:27:50 GMT",
"version": "v1"
}
] | 2022-06-22 | [
[
"Kanzi",
"Sara",
""
],
[
"Sakallı",
"İzzet",
""
]
] | In this paper, we study the GUP (Generalized Uncertainty Principle) modified Hawking radiation of rotating polytropic black hole given in the Boyer-Lindquist coordinates. To this end, the GUP modified Klein-Gordon equation is applied for investigating the quantum tunneling of scalar particles from the polytropic black hole. After reducing the obtained radial wave equation to the one-dimensional Schr\"{o}dinger equation, we derive the reflection and transmission probabilities of the radiation. A detail discussion on how the reflection and transmission (greybody factor) probabilities are derived for this black hole is given. The results are graphically depicted and the relevant physical interpretations are made. |
hep-th/9710180 | null | Ricardo Troncoso and Jorge Zanelli | New Gauge Supergravity in Seven and Eleven Dimensions | 5pages, RevTeX, no figures, two columns, minor typos corrected | Phys.Rev.D58:101703,1998 | 10.1103/PhysRevD.58.101703 | null | hep-th | null | Locally supersymmetric systems in odd dimensions whose Lagrangians are
Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are
discussed. The construction is illustrated for D=7 and 11. In seven dimensions
the theory is an N=2 supergravity whose fields are the vielbein
($e_{\mu}^{a}$), the spin connection ($\omega_{\mu}^{ab}$), two gravitini
($\psi_{\mu}^{i}$) and an $sp(2)$ gauge connection ($a_{\mu j}^{i}$). These
fields form a connection for $osp(2|8)$. In eleven dimensions the theory is an
N=1 supergravity containing, apart from $e_{\mu}^{a}$ and $\omega_{\mu}^{ab}$,
one gravitino $\psi_{\mu}$, and a totally antisymmetric fifth rank Lorentz
tensor one-form, $b_{\mu}^{abcde}$. These fields form a connection for
$osp(32|1)$. The actions are by construction invariant under local
supersymmetry and the algebra closes off shell without requiring auxiliary
fields. The $N=2^{[D/2]}$-theory can be shown to have nonnegative energy around
an AdS background, which is a classical solution that saturates the Bogomolnyi
bound obtained from the superalgebra.
| [
{
"created": "Thu, 23 Oct 1997 23:25:11 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jan 1998 17:48:10 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 1998 15:57:20 GMT",
"version": "v3"
},
{
"created": "Sun, 29 Nov 1998 01:11:42 GMT",
"version": "v4"
},
{
"created": "Sat, 30 Jan 1999 23:15:01 GMT",
"version": "v5"
}
] | 2009-12-30 | [
[
"Troncoso",
"Ricardo",
""
],
[
"Zanelli",
"Jorge",
""
]
] | Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D=7 and 11. In seven dimensions the theory is an N=2 supergravity whose fields are the vielbein ($e_{\mu}^{a}$), the spin connection ($\omega_{\mu}^{ab}$), two gravitini ($\psi_{\mu}^{i}$) and an $sp(2)$ gauge connection ($a_{\mu j}^{i}$). These fields form a connection for $osp(2|8)$. In eleven dimensions the theory is an N=1 supergravity containing, apart from $e_{\mu}^{a}$ and $\omega_{\mu}^{ab}$, one gravitino $\psi_{\mu}$, and a totally antisymmetric fifth rank Lorentz tensor one-form, $b_{\mu}^{abcde}$. These fields form a connection for $osp(32|1)$. The actions are by construction invariant under local supersymmetry and the algebra closes off shell without requiring auxiliary fields. The $N=2^{[D/2]}$-theory can be shown to have nonnegative energy around an AdS background, which is a classical solution that saturates the Bogomolnyi bound obtained from the superalgebra. |
hep-th/9811244 | Stefano Bellucci | S. Bellucci, E. Ivanov, S. Krivonos | Partial breaking of N=1, D=10 supersymmetry | 14 pages, LaTeX, Extended and corrected version to appear in Physics
Letters B, PACS: 11.17.+y,11.30.Pb | Phys.Lett.B460:348-358,1999 | 10.1016/S0370-2693(99)00753-4 | null | hep-th | null | We describe the spontaneous partial breaking of $N=1 D=10$ supersymmetry to
$N=(1,0) d=6$ and its dimensionally-reduced versions in the framework of the
nonlinear realizations method. The basic Goldstone superfield is $N=(1,0) d=6$
hypermultiplet superfield satisfying a nonlinear generalization of the standard
hypermultiplet constraint. We interpret the generalized constraint as the
manifestly worldvolume supersymmetric form of equations of motion of the Type I
super 5-brane in D=10. The related issues we address are a possible existence
of brane extension of off-shell hypermultiplet actions, the possibility to
utilize vector $N=(1,0) d=6$ supermultiplet as the Goldstone one, and the
description of 1/4 breaking of $N=1 D=11$ supersymmetry.
| [
{
"created": "Sat, 28 Nov 1998 17:23:45 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Dec 1998 20:02:08 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Dec 1998 07:38:58 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Jul 1999 17:37:08 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Bellucci",
"S.",
""
],
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
]
] | We describe the spontaneous partial breaking of $N=1 D=10$ supersymmetry to $N=(1,0) d=6$ and its dimensionally-reduced versions in the framework of the nonlinear realizations method. The basic Goldstone superfield is $N=(1,0) d=6$ hypermultiplet superfield satisfying a nonlinear generalization of the standard hypermultiplet constraint. We interpret the generalized constraint as the manifestly worldvolume supersymmetric form of equations of motion of the Type I super 5-brane in D=10. The related issues we address are a possible existence of brane extension of off-shell hypermultiplet actions, the possibility to utilize vector $N=(1,0) d=6$ supermultiplet as the Goldstone one, and the description of 1/4 breaking of $N=1 D=11$ supersymmetry. |
hep-th/0504041 | Antoine Van Proeyen | Luca Martucci, Jan Rosseel, Dieter Van den Bleeken and Antoine Van
Proeyen | Dirac actions for D-branes on backgrounds with fluxes | 25 pages | Class.Quant.Grav. 22 (2005) 2745-2764 | 10.1088/0264-9381/22/13/014 | KUL-TF-05/06 | hep-th | null | The understanding of the fermionic sector of the worldvolume D-brane dynamics
on a general background with fluxes is crucial in several branches of string
theory, like for example the study of nonperturbative effects or the
construction of realistic models living on D-branes. In this paper we derive a
new simple Dirac-like form for the bilinear fermionic action for any Dp-brane
in any supergravity background, which generalizes the usual Dirac action valid
in absence of fluxes. A nonzero world-volume field strength deforms the usual
Dirac operator in the action to a generalized non-canonical one. We show how
the canonical form can be re-established by a redefinition of the world-volume
geometry.
| [
{
"created": "Tue, 5 Apr 2005 12:00:18 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Martucci",
"Luca",
""
],
[
"Rosseel",
"Jan",
""
],
[
"Bleeken",
"Dieter Van den",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | The understanding of the fermionic sector of the worldvolume D-brane dynamics on a general background with fluxes is crucial in several branches of string theory, like for example the study of nonperturbative effects or the construction of realistic models living on D-branes. In this paper we derive a new simple Dirac-like form for the bilinear fermionic action for any Dp-brane in any supergravity background, which generalizes the usual Dirac action valid in absence of fluxes. A nonzero world-volume field strength deforms the usual Dirac operator in the action to a generalized non-canonical one. We show how the canonical form can be re-established by a redefinition of the world-volume geometry. |
1408.6835 | Stefano Cremonesi | Stefano Cremonesi, Giulia Ferlito, Amihay Hanany and Noppadol
Mekareeya | Coulomb Branch and The Moduli Space of Instantons | 32 pages + Appendices. v2: typos corrected | null | 10.1007/JHEP12(2014)103 | Imperial/TP/14/AH/08, CERN-PH-TH-2014-136 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The moduli space of instantons on C^2 for any simple gauge group is studied
using the Coulomb branch of N=4 gauge theories in three dimensions. For a given
simple group G, the Hilbert series of such an instanton moduli space is
computed from the Coulomb branch of the quiver given by the over-extended
Dynkin diagram of G. The computation includes the cases of non-simply-laced
gauge groups G, complementing the ADHM constructions which are not available
for exceptional gauge groups. Even though the Lagrangian description for
non-simply laced Dynkin diagrams is not currently known, the prescription for
computing the Coulomb branch Hilbert series of such diagrams is very simple.
For instanton numbers one and two, the results are in agreement with previous
works. New results and general features for the moduli spaces of three and
higher instanton numbers are reported and discussed in detail.
| [
{
"created": "Thu, 28 Aug 2014 20:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2014 13:43:34 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Cremonesi",
"Stefano",
""
],
[
"Ferlito",
"Giulia",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] | The moduli space of instantons on C^2 for any simple gauge group is studied using the Coulomb branch of N=4 gauge theories in three dimensions. For a given simple group G, the Hilbert series of such an instanton moduli space is computed from the Coulomb branch of the quiver given by the over-extended Dynkin diagram of G. The computation includes the cases of non-simply-laced gauge groups G, complementing the ADHM constructions which are not available for exceptional gauge groups. Even though the Lagrangian description for non-simply laced Dynkin diagrams is not currently known, the prescription for computing the Coulomb branch Hilbert series of such diagrams is very simple. For instanton numbers one and two, the results are in agreement with previous works. New results and general features for the moduli spaces of three and higher instanton numbers are reported and discussed in detail. |
2006.01190 | Alexei Morozov | L. Bishler and A.Morozov | Perspectives of differential expansion | 14 pages | Phys.Lett. B808 (2020) 135639 | 10.1016/j.physletb.2020.135639 | null | hep-th math-ph math.GT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We outline the current status of the differential expansion (DE) of colored
knot polynomials i.e. of their $Z$--$F$ decomposition into representation-- and
knot--dependent parts. Its existence is a theorem for HOMFLY-PT polynomials in
symmetric and antisymmetric representations, but everything beyond is still
hypothetical -- and quite difficult to explore and interpret. However, DE
remains one of the main sources of knowledge and calculational means in modern
knot theory. We concentrate on the following subjects: applicability of DE to
non-trivial knots, its modifications for knots with non-vanishing defects and
DE for non-rectangular representations. An essential novelty is the analysis of
a more-naive ${\cal Z}$--${F_{Tw}}$ decomposition with the twist-knot
$F$-factors and non-standard ${\cal Z}$-factors and a discovery of still
another triangular and universal transformation $V$, which converts $\cal{Z}$
to the standard $Z$-factors $V^{-1}\cdot {\cal Z}= Z$ and allows to calculate
$F$ as $F = V\cdot F_{Tw}$.
| [
{
"created": "Mon, 1 Jun 2020 18:27:49 GMT",
"version": "v1"
}
] | 2021-03-01 | [
[
"Bishler",
"L.",
""
],
[
"Morozov",
"A.",
""
]
] | We outline the current status of the differential expansion (DE) of colored knot polynomials i.e. of their $Z$--$F$ decomposition into representation-- and knot--dependent parts. Its existence is a theorem for HOMFLY-PT polynomials in symmetric and antisymmetric representations, but everything beyond is still hypothetical -- and quite difficult to explore and interpret. However, DE remains one of the main sources of knowledge and calculational means in modern knot theory. We concentrate on the following subjects: applicability of DE to non-trivial knots, its modifications for knots with non-vanishing defects and DE for non-rectangular representations. An essential novelty is the analysis of a more-naive ${\cal Z}$--${F_{Tw}}$ decomposition with the twist-knot $F$-factors and non-standard ${\cal Z}$-factors and a discovery of still another triangular and universal transformation $V$, which converts $\cal{Z}$ to the standard $Z$-factors $V^{-1}\cdot {\cal Z}= Z$ and allows to calculate $F$ as $F = V\cdot F_{Tw}$. |
0807.1074 | Jaume Gomis | Jaume Gomis, Diego Rodriguez-Gomez, Mark Van Raamsdonk and Herman
Verlinde | A Massive Study of M2-brane Proposals | 33 pages, LaTeX; references and acknowledgment added | JHEP0809:113,2008 | 10.1088/1126-6708/2008/09/113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We test the proposals for the worldvolume theory of M2-branes by studying its
maximally supersymmetric mass-deformation. We check the simplest prediction for
the mass-deformed theory on N M2-branes: that there should be a set of discrete
vacua in one-to-one correspondence with partitions on N. For the mass-deformed
Lorentzian three-algebra theory, we find only a single classical vacuum,
casting doubt on its M2-brane interpretation. For the mass-deformed ABJM
theory, we do find a discrete set of solutions, but these are more numerous
than predicted. We discuss possible resolutions of this puzzling discrepancy.
We argue that the classical vacuum solutions of the mass-deformed ABJM theory
display properties of fuzzy three-spheres, as expected from their gravitational
dual interpretation.
| [
{
"created": "Mon, 7 Jul 2008 18:58:11 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jul 2008 16:04:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gomis",
"Jaume",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Verlinde",
"Herman",
""
]
] | We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete vacua in one-to-one correspondence with partitions on N. For the mass-deformed Lorentzian three-algebra theory, we find only a single classical vacuum, casting doubt on its M2-brane interpretation. For the mass-deformed ABJM theory, we do find a discrete set of solutions, but these are more numerous than predicted. We discuss possible resolutions of this puzzling discrepancy. We argue that the classical vacuum solutions of the mass-deformed ABJM theory display properties of fuzzy three-spheres, as expected from their gravitational dual interpretation. |
hep-th/0009025 | Bert Janssen | Bert Janssen, Patrick Meessen | A non-Abelian Chern-Simons term for non-BPS D-branes | 8 pages, contribution to the proceedings of the IVth annual TMR
conference inParis (7-13 sept 2000); JHEP-style | Phys.Lett. B526 (2002) 144-148 | 10.1016/S0370-2693(01)01473-3 | IFT-UAM/CSIC-00-26 | hep-th | null | We propose a Chern-Simons term for N coinciding non-BPS D-branes. Demanding
full U(N) invariance and compatibility with T-duality, it is shown that it is
necessary to introduce new interaction terms, through which the non-BPS
D-branes couple to all p-form RR fields.
| [
{
"created": "Mon, 4 Sep 2000 14:25:19 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Janssen",
"Bert",
""
],
[
"Meessen",
"Patrick",
""
]
] | We propose a Chern-Simons term for N coinciding non-BPS D-branes. Demanding full U(N) invariance and compatibility with T-duality, it is shown that it is necessary to introduce new interaction terms, through which the non-BPS D-branes couple to all p-form RR fields. |
hep-th/9911149 | Irina Arefeva | I.Ya. Aref'eva, A.S. Koshelev and P.B. Medvedev | On Stable Sector in Supermembrane Matrix Model | 29 pages, 5 figures | Nucl.Phys. B579 (2000) 411-436 | 10.1016/S0550-3213(00)00205-4 | SMI-5-99 | hep-th | null | We study the spectrum of SU(2) x SO(2) matrix supersymmetric quantum
mechanics. We use angular coordinates that allow us to find an explicit
solution of the Gauss law constraints and single out the quantum number n (the
Lorentz angular momentum). Energy levels are four-fold degenerate with respect
to n and are labeled by n_q, the largest n in a quartet. The Schr\"odinger
equation is reduced to two different systems of two-dimensional partial
differential equations. The choice of a system is governed by n_q. We present
the asymptotic solutions for the systems deriving thereby the asymptotic
formula for the spectrum. Odd n_q are forbidden, for even n_q the spectrum has
a continuous part as well as a discrete one, meanwhile for half-integer n_q the
spectrum is purely discrete. Taking half-integer n_q one can cure the model
from instability caused by the presence of continuous spectrum.
| [
{
"created": "Thu, 18 Nov 1999 23:22:21 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Koshelev",
"A. S.",
""
],
[
"Medvedev",
"P. B.",
""
]
] | We study the spectrum of SU(2) x SO(2) matrix supersymmetric quantum mechanics. We use angular coordinates that allow us to find an explicit solution of the Gauss law constraints and single out the quantum number n (the Lorentz angular momentum). Energy levels are four-fold degenerate with respect to n and are labeled by n_q, the largest n in a quartet. The Schr\"odinger equation is reduced to two different systems of two-dimensional partial differential equations. The choice of a system is governed by n_q. We present the asymptotic solutions for the systems deriving thereby the asymptotic formula for the spectrum. Odd n_q are forbidden, for even n_q the spectrum has a continuous part as well as a discrete one, meanwhile for half-integer n_q the spectrum is purely discrete. Taking half-integer n_q one can cure the model from instability caused by the presence of continuous spectrum. |
hep-th/9205077 | A. Stern | G. Bimonte, K. S. Gupta, A. Stern | Edge Currents and Vertex Operators for Chern-Simons Gravity | 42 pages, UAHEP 925, SU-4240-508, INFN-NA-IV-92/12 | Int. J. Mod. Phys. A8 (1993) 653 | 10.1142/S0217751X93000254 | null | hep-th | null | We apply elementary canonical methods for the quantization of 2+1 dimensional
gravity, where the dynamics is given by E. Witten's $ISO(2,1)$ Chern-Simons
action. As in a previous work, our approach does not involve choice of gauge or
clever manipulations of functional integrals. Instead, we just require the
Gauss law constraint for gravity to be first class and also to be everywhere
differentiable. When the spatial slice is a disc, the gravitational fields can
either be unconstrained or constrained at the boundary of the disc. The
unconstrained fields correspond to edge currents which carry a representation
of the $ISO(2,1)$ Kac-Moody algebra. Unitary representations for such an
algebra have been found using the method of induced representations. In the
case of constrained fields, we can classify all possible boundary conditions.
For several different boundary conditions, the field content of the theory
reduces precisely to that of 1+1 dimensional gravity theories. We extend the
above formalism to include sources. The sources take into account self-
interactions. This is done by punching holes in the disc, and erecting an
$ISO(2,1)$ Kac-Moody algebra on the boundary of each hole. If the hole is
originally sourceless, a source can be created via the action of a vertex
operator $V$. We give an explicit expression for $V$. We shall show that when
acting
| [
{
"created": "Wed, 20 May 1992 22:54:50 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bimonte",
"G.",
""
],
[
"Gupta",
"K. S.",
""
],
[
"Stern",
"A.",
""
]
] | We apply elementary canonical methods for the quantization of 2+1 dimensional gravity, where the dynamics is given by E. Witten's $ISO(2,1)$ Chern-Simons action. As in a previous work, our approach does not involve choice of gauge or clever manipulations of functional integrals. Instead, we just require the Gauss law constraint for gravity to be first class and also to be everywhere differentiable. When the spatial slice is a disc, the gravitational fields can either be unconstrained or constrained at the boundary of the disc. The unconstrained fields correspond to edge currents which carry a representation of the $ISO(2,1)$ Kac-Moody algebra. Unitary representations for such an algebra have been found using the method of induced representations. In the case of constrained fields, we can classify all possible boundary conditions. For several different boundary conditions, the field content of the theory reduces precisely to that of 1+1 dimensional gravity theories. We extend the above formalism to include sources. The sources take into account self- interactions. This is done by punching holes in the disc, and erecting an $ISO(2,1)$ Kac-Moody algebra on the boundary of each hole. If the hole is originally sourceless, a source can be created via the action of a vertex operator $V$. We give an explicit expression for $V$. We shall show that when acting |
hep-th/0107100 | Nitta Muneto | Kiyoshi Higashijima, Tetsuji Kimura and Muneto Nitta (Osaka Univ.) | A Note on Conifolds | LaTeX2e, 8 pages, no figures, accepted for publication in Physics
Letters B | Phys.Lett. B518 (2001) 301-305 | 10.1016/S0370-2693(01)01064-4 | OU-HET 390 | hep-th gr-qc math-ph math.MP | null | We present the Ricci-flat metric and its Kahler potential on the conifold
with the O(N) isometry, whose conical singularity is repaired by the complex
quadric surface Q^{N-2} = SO(N)/SO(N-2)xU(1).
| [
{
"created": "Thu, 12 Jul 2001 04:17:03 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2001 06:35:08 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Aug 2001 10:08:22 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Higashijima",
"Kiyoshi",
"",
"Osaka Univ."
],
[
"Kimura",
"Tetsuji",
"",
"Osaka Univ."
],
[
"Nitta",
"Muneto",
"",
"Osaka Univ."
]
] | We present the Ricci-flat metric and its Kahler potential on the conifold with the O(N) isometry, whose conical singularity is repaired by the complex quadric surface Q^{N-2} = SO(N)/SO(N-2)xU(1). |
2110.08585 | Carlos A. S. Almeida | A. R. P. Moreira, F. C. E. Lima, and C. A. S. Almeida | Configurational Entropy and braneworlds in f(T,B) gravity | 20 pages,10 captioned figures. Updated version to match accepted one
in IJMPD. Title changed. Minor modifications | null | 10.1142/S0218271822500808 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The thick brane scenario built on the f(T,B) teleparallel gravity theory was
considered for the study of phase transitions, internal structures, and new
classes of solutions in a model. In this theory, T denotes the torsion scalar,
and B is a boundary term. An interesting result was observed when brane
splitting occurs, i. e., internal structures in the model arise as a
consequence of the appearance of new domain walls in the theory. In fact, this
preliminary result influences the profile of the matter field (from kink to
multi-kink) so that for appropriate values of the parameters $k_{1,2}$ multiple
phase transitions are identified. To perform this analysis, the Differential
Configurational Entropy (DCE) which has the ability to predict the existence of
phase transitions through critical points was used. Furthermore, the DCE is
able to select the most stable solutions since it gives us details about the
informational content of the field settings.
| [
{
"created": "Sat, 16 Oct 2021 14:51:17 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jun 2022 18:06:46 GMT",
"version": "v2"
}
] | 2022-06-07 | [
[
"Moreira",
"A. R. P.",
""
],
[
"Lima",
"F. C. E.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | The thick brane scenario built on the f(T,B) teleparallel gravity theory was considered for the study of phase transitions, internal structures, and new classes of solutions in a model. In this theory, T denotes the torsion scalar, and B is a boundary term. An interesting result was observed when brane splitting occurs, i. e., internal structures in the model arise as a consequence of the appearance of new domain walls in the theory. In fact, this preliminary result influences the profile of the matter field (from kink to multi-kink) so that for appropriate values of the parameters $k_{1,2}$ multiple phase transitions are identified. To perform this analysis, the Differential Configurational Entropy (DCE) which has the ability to predict the existence of phase transitions through critical points was used. Furthermore, the DCE is able to select the most stable solutions since it gives us details about the informational content of the field settings. |
1106.1664 | Hong Lu | H. Lu and Zhao-Long Wang | Killing Spinors for the Bosonic String | 9 pages | null | 10.1209/0295-5075/97/50010 | KIAS-P11032 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the effective action for the bosonic string with arbitrary
Yang-Mills fields, up to the \alpha' order, in general dimensions. The form of
the action is determined by the requirement that the action admit well-defined
Killing spinor equations, whose projected integrability conditions give rise to
the full set of equations of motion. The success of the construction suggests
that the hidden "pseudo-supersymmetry" associated with the Killing spinor
equations may be a property of the bosonic string itself.
| [
{
"created": "Wed, 8 Jun 2011 20:30:15 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Lu",
"H.",
""
],
[
"Wang",
"Zhao-Long",
""
]
] | We obtain the effective action for the bosonic string with arbitrary Yang-Mills fields, up to the \alpha' order, in general dimensions. The form of the action is determined by the requirement that the action admit well-defined Killing spinor equations, whose projected integrability conditions give rise to the full set of equations of motion. The success of the construction suggests that the hidden "pseudo-supersymmetry" associated with the Killing spinor equations may be a property of the bosonic string itself. |
1307.1137 | Fotis Farakos | F. Farakos, A. Kehagias and A. Riotto | On the Starobinsky Model of Inflation from Supergravity | 17 pages, 2 figures, published version | null | 10.1016/j.nuclphysb.2013.08.005 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss how the higher-derivative Starobinsky model of inflation
originates from N=1 supergravity. It is known that, in the old-minimal
supergravity description written by employing a chiral compensator in the
superconformal framework, the Starobinsky model is equivalent to a no-scale
model with F-term potential. We show that the Starobinsky model can also be
originated within the so-called new-minimal supergravity, where a linear
compensator superfield is employed. In this formulation, the Starobinsky model
is equivalent to standard supergravity coupled to a massive vector multiplet
whose lowest scalar component plays the role of the inflaton and the vacuum
energy is provided by a D-term potential. We also point out that higher-order
corrections to the supergravity Lagrangian represent a threat to the
Starobinsky model as they can destroy the flatness of the inflaton potential in
its scalar field equivalent description.
| [
{
"created": "Wed, 3 Jul 2013 20:04:12 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Oct 2013 11:22:58 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Farakos",
"F.",
""
],
[
"Kehagias",
"A.",
""
],
[
"Riotto",
"A.",
""
]
] | We discuss how the higher-derivative Starobinsky model of inflation originates from N=1 supergravity. It is known that, in the old-minimal supergravity description written by employing a chiral compensator in the superconformal framework, the Starobinsky model is equivalent to a no-scale model with F-term potential. We show that the Starobinsky model can also be originated within the so-called new-minimal supergravity, where a linear compensator superfield is employed. In this formulation, the Starobinsky model is equivalent to standard supergravity coupled to a massive vector multiplet whose lowest scalar component plays the role of the inflaton and the vacuum energy is provided by a D-term potential. We also point out that higher-order corrections to the supergravity Lagrangian represent a threat to the Starobinsky model as they can destroy the flatness of the inflaton potential in its scalar field equivalent description. |
hep-th/9403047 | Nicholas Philip Warner | D. Nemeschansky and N.P. Warner | Refining the Elliptic Genus | 15pages, no figures, harvmac. preprint USC-94/002 | Phys.Lett.B329:53-60,1994 | 10.1016/0370-2693(94)90516-9 | null | hep-th | null | We show how special forms of an $N=2$ Landau-Ginzburg potential directly
imply the presence of an $N=2$ super-$W$ algebra. If the Landau-Ginzburg model
has a super-$W$ algebra, we show how the elliptic genus can be refined so as to
give much more complete information about the structure of the model. We study
the super-$W_3$ model in some detail, and present some results and conjectures
about more general models.
| [
{
"created": "Mon, 7 Mar 1994 22:25:39 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 1994 23:35:16 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Nemeschansky",
"D.",
""
],
[
"Warner",
"N. P.",
""
]
] | We show how special forms of an $N=2$ Landau-Ginzburg potential directly imply the presence of an $N=2$ super-$W$ algebra. If the Landau-Ginzburg model has a super-$W$ algebra, we show how the elliptic genus can be refined so as to give much more complete information about the structure of the model. We study the super-$W_3$ model in some detail, and present some results and conjectures about more general models. |
2407.21619 | Nicol\`o Petri | Andrea Conti, Giuseppe Dibitetto, Yolanda Lozano, Nicol\`o Petri,
Anayeli Ram\'irez | Half-BPS Janus solutions in AdS$_7$ | 24 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study half-BPS flows in gauged minimal 7d supergravity featured by an
AdS$_3\times S^3$ slicing of the metric, supported by a dyonic three-form
field. We first present a novel strategy for analytic integration of the BPS
equations, which makes use of the integrals of motion. Subsequently, we discuss
the suitable choice of integration constants that gives rise to smooth
geometries. These flows are asymptotically locally AdS$_7$ in their UV limit,
while their IR geometry is AdS$_3\times \mathbb{R}^4$. We then discuss their
uplifts to 11d and massive IIA supergravity and observe that they describe
one-parameter deformations of their AdS$_7\times S^4$ and AdS$_7\times S^3$
vacua, respectively, their holographic interpretation being as conformal defect
CFT$_2$'s within the corresponding dual SCFT$_6$'s. We conclude with the
computation of the holographic central charge, by focussing on the M-theory
interpretation.
| [
{
"created": "Wed, 31 Jul 2024 14:10:42 GMT",
"version": "v1"
}
] | 2024-08-01 | [
[
"Conti",
"Andrea",
""
],
[
"Dibitetto",
"Giuseppe",
""
],
[
"Lozano",
"Yolanda",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Ramírez",
"Anayeli",
""
]
] | We study half-BPS flows in gauged minimal 7d supergravity featured by an AdS$_3\times S^3$ slicing of the metric, supported by a dyonic three-form field. We first present a novel strategy for analytic integration of the BPS equations, which makes use of the integrals of motion. Subsequently, we discuss the suitable choice of integration constants that gives rise to smooth geometries. These flows are asymptotically locally AdS$_7$ in their UV limit, while their IR geometry is AdS$_3\times \mathbb{R}^4$. We then discuss their uplifts to 11d and massive IIA supergravity and observe that they describe one-parameter deformations of their AdS$_7\times S^4$ and AdS$_7\times S^3$ vacua, respectively, their holographic interpretation being as conformal defect CFT$_2$'s within the corresponding dual SCFT$_6$'s. We conclude with the computation of the holographic central charge, by focussing on the M-theory interpretation. |
1908.04245 | Marcus Sperling | Antoine Bourget, Santiago Cabrera, Julius F. Grimminger, Amihay
Hanany, Marcus Sperling, Anton Zajac, Zhenghao Zhong | The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities | v2: 70 pages, 30 tables, 22 figures, typos corrected, added
references | null | 10.1007/JHEP01(2020)157 | Imperial/TP/19/AH/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the geometrical structure of Higgs branches of quantum field
theories with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic
singularities, and as such admit a decomposition (or foliation) into so-called
symplectic leaves, which are related to each other by transverse slices. We
identify this foliation with the pattern of partial Higgs mechanism of the
theory and, using brane systems and recently introduced notions of magnetic
quivers and quiver subtraction, we formalise the rules to obtain the Hasse
diagram which encodes the structure of the foliation. While the unbroken gauge
symmetry and the number of flat directions are obtainable by classical field
theory analysis for Lagrangian theories, our approach allows us to characterise
the geometry of the Higgs branch by a Hasse diagram with symplectic leaves and
transverse slices, thus refining the analysis and extending it to
non-Lagrangian theories. Most of the Hasse diagrams we obtain extend beyond the
cases of nilpotent orbit closures known in the mathematics literature. The
geometric analysis developed in this paper is applied to Higgs branches of
several Lagrangian gauge theories, Argyres-Douglas theories, five dimensional
SQCD theories at the conformal fixed point, and six dimensional SCFTs.
| [
{
"created": "Mon, 12 Aug 2019 16:53:44 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2019 14:06:05 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Bourget",
"Antoine",
""
],
[
"Cabrera",
"Santiago",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
],
[
"Zajac",
"Anton",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | We explore the geometrical structure of Higgs branches of quantum field theories with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic singularities, and as such admit a decomposition (or foliation) into so-called symplectic leaves, which are related to each other by transverse slices. We identify this foliation with the pattern of partial Higgs mechanism of the theory and, using brane systems and recently introduced notions of magnetic quivers and quiver subtraction, we formalise the rules to obtain the Hasse diagram which encodes the structure of the foliation. While the unbroken gauge symmetry and the number of flat directions are obtainable by classical field theory analysis for Lagrangian theories, our approach allows us to characterise the geometry of the Higgs branch by a Hasse diagram with symplectic leaves and transverse slices, thus refining the analysis and extending it to non-Lagrangian theories. Most of the Hasse diagrams we obtain extend beyond the cases of nilpotent orbit closures known in the mathematics literature. The geometric analysis developed in this paper is applied to Higgs branches of several Lagrangian gauge theories, Argyres-Douglas theories, five dimensional SQCD theories at the conformal fixed point, and six dimensional SCFTs. |
hep-th/9408150 | Li Jian-ming | Hanying Guo, Jianming Li and Ke Wu, 10 pages, Latex ASITP-93-67 | The $\sigma$-Model and Non-commutative Geometry | null | null | null | null | hep-th | null | In terms of non-commutative geometry, we show that the $\sigma$--model can be
built up by the gauge theory on discrete group $Z_2$. We introduce a constraint
in the gauge theory, which lead to the constraint imposed on linear $\sigma$
model to get nonlinear $\sigma$ model .
| [
{
"created": "Sun, 28 Aug 1994 17:48:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Guo",
"Hanying",
""
],
[
"Li",
"Jianming",
""
],
[
"Wu",
"Ke",
""
],
[
"pages",
"10",
""
],
[
"ASITP-93-67",
"Latex",
""
]
] | In terms of non-commutative geometry, we show that the $\sigma$--model can be built up by the gauge theory on discrete group $Z_2$. We introduce a constraint in the gauge theory, which lead to the constraint imposed on linear $\sigma$ model to get nonlinear $\sigma$ model . |
hep-th/9109057 | null | F.Ravanini | On the possibility of $Z_N$ exotic supersymmetry in two dimensional
Conformal Field Theory | 21pp | Int.J.Mod.Phys. A7 (1992) 4949-4964 | 10.1142/S0217751X92002246 | null | hep-th | null | We investigate the possibility to construct extended parafermionic conformal
algebras whose generating current has spin $1+\frac{1}{K}$, generalizing the
superconformal (spin 3/2) and the Fateev Zamolodchikov (spin 4/3) algebras.
Models invariant under such algebras would possess $Z_K$ exotic supersymmetries
satisfying (supercharge)$^K$ = (momentum). However, we show that for $K=4$ this
new algebra allows only for models at $c=1$, for $K=5$ it is a trivial
rephrasing of the ordinary $Z_5$ parafermionic model, for $K=6,7$ (and,
requiring unitarity, for all larger $K$) such algebras do not exist.
Implications of this result for existence of exotic supersymmetry in two
dimensional field theory are discussed.
| [
{
"created": "Mon, 30 Sep 1991 10:25:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ravanini",
"F.",
""
]
] | We investigate the possibility to construct extended parafermionic conformal algebras whose generating current has spin $1+\frac{1}{K}$, generalizing the superconformal (spin 3/2) and the Fateev Zamolodchikov (spin 4/3) algebras. Models invariant under such algebras would possess $Z_K$ exotic supersymmetries satisfying (supercharge)$^K$ = (momentum). However, we show that for $K=4$ this new algebra allows only for models at $c=1$, for $K=5$ it is a trivial rephrasing of the ordinary $Z_5$ parafermionic model, for $K=6,7$ (and, requiring unitarity, for all larger $K$) such algebras do not exist. Implications of this result for existence of exotic supersymmetry in two dimensional field theory are discussed. |
2011.05338 | Matti Jarvinen | Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein | Many Phases of Generalized 3D Instanton Crystals | 48 pages, 20 figures (including 5 interactive 3D figures). v3: minor
comments and explanations added | SciPost Phys. 11, 018 (2021) | 10.21468/SciPostPhys.11.1.018 | APCTP Pre2020 - 030 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nuclear matter at large number of colors is necessarily in a solid phase. In
particular holographic nuclear matter takes the form of a crystal of instantons
of the flavor group. In this article we initiate the analysis of the
three-dimensional crystal structures and the orientation patterns for the
two-body potential that follows from holographic duality. The outcome of the
analysis includes several unexpected results. We perform simulations of
ensembles of O(10000) instantons whereby we identify the lattice structure and
orientations for the different values of the weight factors of the non-Abelian
orientation terms in the two-body potential. The resulting phase diagram is
surprisingly complex, including a variety of ferromagnetic and
antiferromagnetic crystals with various global orientation patterns, and
various "non-Abelian" crystals where orientations have no preferred direction.
The latter include variants of face-centered-cubic, hexagonal, and simple cubic
crystals which may have remarkably large or small aspect ratios. The simulation
results are augmented by analytic analysis of the long-distance divergences,
and numerical computation of the (divergence free) energy differences between
the non-Abelian crystals, which allows us to precisely determine the structure
of the phase diagram.
| [
{
"created": "Tue, 10 Nov 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2021 17:37:07 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jun 2021 13:17:08 GMT",
"version": "v3"
}
] | 2021-07-28 | [
[
"Jarvinen",
"Matti",
""
],
[
"Kaplunovsky",
"Vadim",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal structures and the orientation patterns for the two-body potential that follows from holographic duality. The outcome of the analysis includes several unexpected results. We perform simulations of ensembles of O(10000) instantons whereby we identify the lattice structure and orientations for the different values of the weight factors of the non-Abelian orientation terms in the two-body potential. The resulting phase diagram is surprisingly complex, including a variety of ferromagnetic and antiferromagnetic crystals with various global orientation patterns, and various "non-Abelian" crystals where orientations have no preferred direction. The latter include variants of face-centered-cubic, hexagonal, and simple cubic crystals which may have remarkably large or small aspect ratios. The simulation results are augmented by analytic analysis of the long-distance divergences, and numerical computation of the (divergence free) energy differences between the non-Abelian crystals, which allows us to precisely determine the structure of the phase diagram. |
2204.01165 | Stefan Blesneag | Stefan Blesneag | Holomorphic Yukawa Couplings in Heterotic String Theory | PhD thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | This thesis is concerned with heterotic E8 x E8 string models that can
produce quasirealistic N = 1 supersymmetric extensions of the Standard Model in
the low-energy limit. We start rather generally by deriving the
four-dimensional spectrum and Lagrangian terms from the ten-dimensional theory,
through a process of compactification over six-dimensional Calabi-Yau
manifolds, upon which holomorphic poly-stable vector bundles are defined. We
then specialise to a class of heterotic string models for which the vector
bundle is split into a sum of line bundles and the Calabi-Yau manifold is
defined as a complete intersection in projective ambient spaces. We develop a
method for calculating holomorphic Yukawa couplings for such models, by
relating bundle-valued forms on the Calabi-Yau manifold to their ambient space
counterparts, so that the relevant integrals can be evaluated over projective
spaces. The method is applicable for any of the 7890 CICY manifolds known in
the literature, and we show that it can be related to earlier algebraic
techniques to compute holomorphic Yukawa couplings. We provide explicit
calculations of the holomorphic Yukawa couplings for models compactified on the
tetra-quadric and on a co-dimension two CICY. A vanishing theorem is
formulated, showing that in some cases, topology rather than symmetry is
responsible for the absence of certain trilinear couplings. In addition, some
Yukawa matrices are found to be dependent on the complex structure moduli and
their rank is reduced in certain regions of the moduli space. In the final
part, we focus on a method to evaluate the matter field Kahler potential
without knowing the Ricci-flat Calabi-Yau metric. This is possible for large
internal gauge fluxes, for which the normalisation integral localises around a
point on the compactification manifold.
| [
{
"created": "Sun, 3 Apr 2022 21:37:35 GMT",
"version": "v1"
}
] | 2022-04-05 | [
[
"Blesneag",
"Stefan",
""
]
] | This thesis is concerned with heterotic E8 x E8 string models that can produce quasirealistic N = 1 supersymmetric extensions of the Standard Model in the low-energy limit. We start rather generally by deriving the four-dimensional spectrum and Lagrangian terms from the ten-dimensional theory, through a process of compactification over six-dimensional Calabi-Yau manifolds, upon which holomorphic poly-stable vector bundles are defined. We then specialise to a class of heterotic string models for which the vector bundle is split into a sum of line bundles and the Calabi-Yau manifold is defined as a complete intersection in projective ambient spaces. We develop a method for calculating holomorphic Yukawa couplings for such models, by relating bundle-valued forms on the Calabi-Yau manifold to their ambient space counterparts, so that the relevant integrals can be evaluated over projective spaces. The method is applicable for any of the 7890 CICY manifolds known in the literature, and we show that it can be related to earlier algebraic techniques to compute holomorphic Yukawa couplings. We provide explicit calculations of the holomorphic Yukawa couplings for models compactified on the tetra-quadric and on a co-dimension two CICY. A vanishing theorem is formulated, showing that in some cases, topology rather than symmetry is responsible for the absence of certain trilinear couplings. In addition, some Yukawa matrices are found to be dependent on the complex structure moduli and their rank is reduced in certain regions of the moduli space. In the final part, we focus on a method to evaluate the matter field Kahler potential without knowing the Ricci-flat Calabi-Yau metric. This is possible for large internal gauge fluxes, for which the normalisation integral localises around a point on the compactification manifold. |
hep-th/9201002 | null | F.Bonechi, E.Celeghini, R.Giachetti, E.Sorace and M.Tarlini | Inomogeneous Quantum Groups as Symmetries of Phonons | 5 pags. 0 figs | Phys.Rev.Lett. 68 (1992) 3718-3720 | 10.1103/PhysRevLett.68.3718 | null | hep-th | null | The quantum deformed (1+1) Poincare' algebra is shown to be the kinematical
symmetry of the harmonic chain, whose spacing is given by the deformation
parameter. Phonons with their symmetries as well as multiphonon processes are
derived from the quantum group structure. Inhomogeneous quantum groups are thus
proposed as kinematical invariance of discrete systems.
| [
{
"created": "Thu, 2 Jan 1992 12:17:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bonechi",
"F.",
""
],
[
"Celeghini",
"E.",
""
],
[
"Giachetti",
"R.",
""
],
[
"Sorace",
"E.",
""
],
[
"Tarlini",
"M.",
""
]
] | The quantum deformed (1+1) Poincare' algebra is shown to be the kinematical symmetry of the harmonic chain, whose spacing is given by the deformation parameter. Phonons with their symmetries as well as multiphonon processes are derived from the quantum group structure. Inhomogeneous quantum groups are thus proposed as kinematical invariance of discrete systems. |
hep-th/0203230 | Hai-Jun Wang | Shi-Hao Chen | Significance of Negative Energy States in Quantum Field Theory $(1) $ | 18 pages, no figure | null | null | null | hep-th | null | We suppose that there are both particles with negative energies described by
L_{W} and particles with positive energies described by L_{F}, L_{W} and L_{F}
are independent of each other before quantization, dependent on each other
after quantization and symmetric, and L=L_{W} + L_{F}. From this we present a
new quantization method for QED. That the energy of the vacuum state is equal
to zero is naturally obtained. Thus we can easily determine the cosmological
constant according to data of astronomical observation, and it is possible to
correct nonperturbational methods which depend on the energy of the ground
state in quantum field theory.
| [
{
"created": "Tue, 26 Mar 2002 00:14:47 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Aug 2002 07:02:31 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chen",
"Shi-Hao",
""
]
] | We suppose that there are both particles with negative energies described by L_{W} and particles with positive energies described by L_{F}, L_{W} and L_{F} are independent of each other before quantization, dependent on each other after quantization and symmetric, and L=L_{W} + L_{F}. From this we present a new quantization method for QED. That the energy of the vacuum state is equal to zero is naturally obtained. Thus we can easily determine the cosmological constant according to data of astronomical observation, and it is possible to correct nonperturbational methods which depend on the energy of the ground state in quantum field theory. |
hep-th/0301178 | Pere Talavera | Josep M. Pons (Barcelona U., ECM) and Pere Talavera (Barcelona,
Polytechnic U.) | Semi-classical string solutions for N=1 SYM | 24 pages, 3 figures. v2: some rewording and refs added | Nucl.Phys.B665:129-152,2003 | 10.1016/S0550-3213(03)00485-1 | null | hep-th | null | We study semi-classically the dynamics of string solitons in the
Maldacena-Nunez background, dual in the infra-red to N=1, d=4 SYM. For closed
string configurations rotating in the S^2 x R space wrapped by the stack of N
D-branes we find a behavior that indicates the decoupling of the stringy
Kaluza-Klein modes with sufficiently large SO(3) quantum numbers. We show that
the spectrum of a pulsating string configuration in S^2 coincides with that of
a N=2 super Sine-Gordon model. Closed string configurations spinning in the
transversal S^3 give a relation of the energy and the conserved angular
momentum identical to that obtained for configurations spinning in the S^5 of
the AdS_5 x S^5, dual to N =4 SYM. In order to obtain non-trivial relations
between the energy and the spin, we also consider conical-like configurations
stretching along a radial variable in the unwrapped directions of the system of
D-branes and simultaneously along the transversal direction. We find that in
this precise case, these configurations are unstable --contrary to other
backgrounds, where we show that they are stable. We point out that in the
Poincare-like coordinates used for the Maldacena-Nunez background it seems that
it is not possible to reproduce the well-known field theory relation between
the energy and the angular momentum. We reach a similar conclusion for the
Klebanov-Strassler background, by showing that the conical-like configurations
are also unstable.
| [
{
"created": "Thu, 23 Jan 2003 11:31:23 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jun 2003 16:11:18 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Pons",
"Josep M.",
"",
"Barcelona U., ECM"
],
[
"Talavera",
"Pere",
"",
"Barcelona,\n Polytechnic U."
]
] | We study semi-classically the dynamics of string solitons in the Maldacena-Nunez background, dual in the infra-red to N=1, d=4 SYM. For closed string configurations rotating in the S^2 x R space wrapped by the stack of N D-branes we find a behavior that indicates the decoupling of the stringy Kaluza-Klein modes with sufficiently large SO(3) quantum numbers. We show that the spectrum of a pulsating string configuration in S^2 coincides with that of a N=2 super Sine-Gordon model. Closed string configurations spinning in the transversal S^3 give a relation of the energy and the conserved angular momentum identical to that obtained for configurations spinning in the S^5 of the AdS_5 x S^5, dual to N =4 SYM. In order to obtain non-trivial relations between the energy and the spin, we also consider conical-like configurations stretching along a radial variable in the unwrapped directions of the system of D-branes and simultaneously along the transversal direction. We find that in this precise case, these configurations are unstable --contrary to other backgrounds, where we show that they are stable. We point out that in the Poincare-like coordinates used for the Maldacena-Nunez background it seems that it is not possible to reproduce the well-known field theory relation between the energy and the angular momentum. We reach a similar conclusion for the Klebanov-Strassler background, by showing that the conical-like configurations are also unstable. |
1411.6962 | Ivan Jardim Carneiro | I. C. Jardim, G. Alencar, R. R. Landim, R. N. Costa Filho | Solutions to the problem of ELKO spinor localization in brane models | 7 pages | Phys. Rev. D 91, 085008 (2015) | 10.1103/PhysRevD.91.085008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present two different solutions to the problem of zero mode
localization of ELKO spinor. In a recent paper the present authors reopened
this problem since the solution presented before did not satisfy the boundary
condition at the origin. The first solution is given by the introduction of a
mass term and by coupling the spinor with the brane through a delta function.
The second solution is reached by a Yukawa geometrical coupling with the Ricci
scalar. This two models changes consistently the the boundary condition at
infinity and at the origin. For the case of Geometrical coupling we are able to
show that the zero mode is localized for any smooth version of the RS model.
| [
{
"created": "Tue, 25 Nov 2014 18:42:47 GMT",
"version": "v1"
}
] | 2015-04-16 | [
[
"Jardim",
"I. C.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Filho",
"R. N. Costa",
""
]
] | In this paper we present two different solutions to the problem of zero mode localization of ELKO spinor. In a recent paper the present authors reopened this problem since the solution presented before did not satisfy the boundary condition at the origin. The first solution is given by the introduction of a mass term and by coupling the spinor with the brane through a delta function. The second solution is reached by a Yukawa geometrical coupling with the Ricci scalar. This two models changes consistently the the boundary condition at infinity and at the origin. For the case of Geometrical coupling we are able to show that the zero mode is localized for any smooth version of the RS model. |
1306.6638 | Alesandro Santos A. F. Santos | J. G. Silva, A. F. Santos | Ricci dark energy in Chern-Simons modified gravity | 7 pages; to appear in EPJC | null | 10.1140/epjc/s10052-013-2500-0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we have considered the Ricci dark energy model, where the
energy density of the universe is proportional to the Ricci scalar curvature,
in the dynamic Chern-Simons modified gravity. We show that in this context the
evolution of the scale factor is similar to that displayed by the modified
Chaplygin gas.
| [
{
"created": "Thu, 27 Jun 2013 20:00:21 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Silva",
"J. G.",
""
],
[
"Santos",
"A. F.",
""
]
] | In this work, we have considered the Ricci dark energy model, where the energy density of the universe is proportional to the Ricci scalar curvature, in the dynamic Chern-Simons modified gravity. We show that in this context the evolution of the scale factor is similar to that displayed by the modified Chaplygin gas. |
hep-th/0410295 | Vyacheslav Rychkov | Vyacheslav S. Rychkov | Topics in Black Hole Production | 9 pages; v3: references updated; to appear in the proceedings of the
Cargese School "String Theory: From Gauge Interactions to Cosmology", June
7-19, 2004 | null | null | ITFA-2004-53 | hep-th gr-qc hep-ph | null | We revisit Voloshin's model of multiple black hole production in
trans-Planckian elementary particle collisions in D=4. Our revised computation
shows that the cross section to produce N additional black holes is suppressed
by 1/s, rather than being enhanced as was originally found. We also review the
semiclassical gravity picture of black hole production from hep-th/0409131,
making additional comments about the meaning of wavepacket subdivision.
| [
{
"created": "Fri, 29 Oct 2004 19:48:51 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2004 16:55:39 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jan 2005 15:09:16 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Rychkov",
"Vyacheslav S.",
""
]
] | We revisit Voloshin's model of multiple black hole production in trans-Planckian elementary particle collisions in D=4. Our revised computation shows that the cross section to produce N additional black holes is suppressed by 1/s, rather than being enhanced as was originally found. We also review the semiclassical gravity picture of black hole production from hep-th/0409131, making additional comments about the meaning of wavepacket subdivision. |
hep-th/9705193 | null | Nemanja Kaloper and Krzysztof Meissner | Duality Beyond the First Loop | 26 pages, latex, no figures. Several typos corrected, and references
to Nucl. Phys. B405 (1993) 109 by E. Kiritsis and Nucl. Phys. B411 (1994) 487
by A. Giveon and E. Kiritsis added | Phys.Rev. D56 (1997) 7940-7953 | 10.1103/PhysRevD.56.7940 | CERN-TH/97-13, WATPHYS-THY-96/18 | hep-th gr-qc | null | In this article we give a calculation of the two-loop $\sigma$-model
corrections to the T-duality map in string theory. We use the effective action
approach, and analyze two-loop corrections in a specific subtraction scheme.
Focusing on backgrounds which have a single Abelian isometry, we find the
explicit form for the $O(\alpha')$ modifications of the lowest order duality
transformations. Rather surprisingly, the manifest two-loop duality depends
crucially on the torsion field. In contrast to the dilaton and metric fields,
which are merely passive spectators, the torsion plays a more active role,
because of the anomalous couplings to the gauge fields that arise via
dimensional reduction. Our results support the interpretation of T-duality as
an expansion in the inverse string tension $\alpha'$, and its order-by-order
realization as a manifest symmetry of the full string theory.
| [
{
"created": "Sun, 25 May 1997 21:08:23 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 1997 21:24:43 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Meissner",
"Krzysztof",
""
]
] | In this article we give a calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on backgrounds which have a single Abelian isometry, we find the explicit form for the $O(\alpha')$ modifications of the lowest order duality transformations. Rather surprisingly, the manifest two-loop duality depends crucially on the torsion field. In contrast to the dilaton and metric fields, which are merely passive spectators, the torsion plays a more active role, because of the anomalous couplings to the gauge fields that arise via dimensional reduction. Our results support the interpretation of T-duality as an expansion in the inverse string tension $\alpha'$, and its order-by-order realization as a manifest symmetry of the full string theory. |
2005.04771 | Ichiro Oda | Ichiro Oda | On Restricted Weyl Symmetry | 12 pages | Phys. Rev. D 102, 045008 (2020) | 10.1103/PhysRevD.102.045008 | DPUR/TH/68 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the physics of a restricted Weyl symmetry in a curved space-time
where a gauge parameter $\Omega(x)$ of Weyl transformation satisfies a
constraint $\Box \Omega = 0$. First, we present a model of QED where we have a
restricted gauge symmetry in the sense that a $U(1)$ gauge parameter
$\theta(x)$ obeys a similar constraint $\Box \theta = 0$ in a flat Minkowski
space-time. Next, it is precisely shown that a global scale symmetry must be
spontaneously broken at the quantum level. Finally, we discuss the origin of
the restricted Weyl symmetry and show that its symmetry can be derived from a
full Weyl symmetry by taking a gauge condition $R = 0$ in the BRST formalism.
| [
{
"created": "Sun, 10 May 2020 20:13:26 GMT",
"version": "v1"
}
] | 2020-08-12 | [
[
"Oda",
"Ichiro",
""
]
] | We discuss the physics of a restricted Weyl symmetry in a curved space-time where a gauge parameter $\Omega(x)$ of Weyl transformation satisfies a constraint $\Box \Omega = 0$. First, we present a model of QED where we have a restricted gauge symmetry in the sense that a $U(1)$ gauge parameter $\theta(x)$ obeys a similar constraint $\Box \theta = 0$ in a flat Minkowski space-time. Next, it is precisely shown that a global scale symmetry must be spontaneously broken at the quantum level. Finally, we discuss the origin of the restricted Weyl symmetry and show that its symmetry can be derived from a full Weyl symmetry by taking a gauge condition $R = 0$ in the BRST formalism. |
hep-th/0505050 | Anne-Christine Davis | A.-C. Davis and T.W.B. Kibble | Fundamental cosmic strings | Review to appear in Contemporary Physics | Contemp.Phys. 46 (2005) 313-322 | 10.1080/00107510500165204 | Imperial/TP/05/TK/01 | hep-th astro-ph | null | Cosmic strings are linear concentrations of energy that may be formed at
phase transitions in the very early universe. At one time they were thought to
provide a possible origin for the density inhomogeneities from which galaxies
eventually develop, though this idea has been ruled out, primarily by
observations of the cosmic microwave background (CMB). Fundamental strings are
the supposed building blocks of all matter in superstring theory or its modern
version, M-theory. These two concepts were originally very far apart, but
recent developments have brought them closer. The `brane-world' scenario in
particular suggests the existence of macroscopic fundamental strings that could
well play a role very similar to that of cosmic strings.
In this paper, we outline these new developments, and also analyze recent
observational evidence, and prospects for the future.
| [
{
"created": "Thu, 5 May 2005 09:14:31 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Davis",
"A. -C.",
""
],
[
"Kibble",
"T. W. B.",
""
]
] | Cosmic strings are linear concentrations of energy that may be formed at phase transitions in the very early universe. At one time they were thought to provide a possible origin for the density inhomogeneities from which galaxies eventually develop, though this idea has been ruled out, primarily by observations of the cosmic microwave background (CMB). Fundamental strings are the supposed building blocks of all matter in superstring theory or its modern version, M-theory. These two concepts were originally very far apart, but recent developments have brought them closer. The `brane-world' scenario in particular suggests the existence of macroscopic fundamental strings that could well play a role very similar to that of cosmic strings. In this paper, we outline these new developments, and also analyze recent observational evidence, and prospects for the future. |
1008.1453 | Martin B. Halpern | M.B.Halpern | The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST
per Cycle per Sector | 31 pages | JHEP 1011:031,2010 | 10.1007/JHEP11(2010)031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We resume our discussion of the new orbifold-string theories of
permutation-type, focusing in the present series on the algebraic formulation
of the general bosonic prototype and especially the target space-times of the
theories. In this first paper of the series, we construct one twisted BRST
system for each cycle $j$ in each twisted sector $\sigma$ of the general case,
verifying in particular the previously-conjectured algebra
$[Q_{i}(\sigma),Q_{j}(\sigma)]_{+} =0$ of the BRST charges. The BRST systems
then imply a set of extended physical-state conditions for the matter of each
cycle at cycle central charge $\hat{c}_{j}(\sigma)=26f_{j}(\sigma)$ where
$f_{j}(\sigma)$ is the length of cycle $j$.
| [
{
"created": "Mon, 9 Aug 2010 05:10:54 GMT",
"version": "v1"
}
] | 2010-11-15 | [
[
"Halpern",
"M. B.",
""
]
] | We resume our discussion of the new orbifold-string theories of permutation-type, focusing in the present series on the algebraic formulation of the general bosonic prototype and especially the target space-times of the theories. In this first paper of the series, we construct one twisted BRST system for each cycle $j$ in each twisted sector $\sigma$ of the general case, verifying in particular the previously-conjectured algebra $[Q_{i}(\sigma),Q_{j}(\sigma)]_{+} =0$ of the BRST charges. The BRST systems then imply a set of extended physical-state conditions for the matter of each cycle at cycle central charge $\hat{c}_{j}(\sigma)=26f_{j}(\sigma)$ where $f_{j}(\sigma)$ is the length of cycle $j$. |
hep-th/0105043 | Larisa Jonke | Larisa Jonke and Stjepan Meljanac (Rudjer Boskovic Institute) | Dynamical symmetry algebra of the Calogero model | 10 pages, minor corrections, to appear in PLB | Phys.Lett. B511 (2001) 276-284 | 10.1016/S0370-2693(01)00683-9 | IRB-TH-4/01 | hep-th | null | We study the dynamical symmetry algebra of the N-body Calogero model
describing the structure of degenerate levels and demonstrate that the algebra
is intrisically polynomial. We discuss some general properties of an algebra of
S_N-symmetric operators acting on the S_N-symmetric subspace of the Fock space
for any statistical parameter \nu. In the bosonic case (\nu=0) we find the
algebra of generators for every N. For \nu\neq 0, we explicitly reproduce the
finite algebra for the 4-particle model, demonstrating some general features of
our construction.
| [
{
"created": "Fri, 4 May 2001 13:58:04 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2001 10:26:34 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Jonke",
"Larisa",
"",
"Rudjer Boskovic Institute"
],
[
"Meljanac",
"Stjepan",
"",
"Rudjer Boskovic Institute"
]
] | We study the dynamical symmetry algebra of the N-body Calogero model describing the structure of degenerate levels and demonstrate that the algebra is intrisically polynomial. We discuss some general properties of an algebra of S_N-symmetric operators acting on the S_N-symmetric subspace of the Fock space for any statistical parameter \nu. In the bosonic case (\nu=0) we find the algebra of generators for every N. For \nu\neq 0, we explicitly reproduce the finite algebra for the 4-particle model, demonstrating some general features of our construction. |
hep-th/0607110 | Thomas D. Cohen | Aleksey Cherman and Thomas D. Cohen | A tale of two skyrmions: the nucleon's strange quark content in
different large N_c limits | 4 pages | Phys.Lett. B641 (2006) 401-404 | 10.1016/j.physletb.2006.08.027 | null | hep-th hep-ph nucl-th | null | The nucleon's strange quark content comes from closed quark loops, and hence
should vanish at leading order in the traditional large $N_c$ (TLNC) limit.
Quark loops are not suppressed in the recently proposed orientifold large $N_c$
(OLNC) limit, and thus the strange quark content should be non-vanishing at
leading order. The Skyrme model is supposed to encode the large $N_c$ behavior
of baryons, and can be formulated for both of these large $N_c$ limits. There
is an apparent paradox associated with the large $N_c$ behavior of strange
quark matrix elements in the Skyrme model. The model only distinguishes between
the two large $N_c$ limits via the $N_c$ scaling of the couplings and the
Witten-Wess-Zumino term, so that a vanishing leading order strange matrix
element in the TLNC limit implies that it also vanishes at leading order in the
OLNC limit, contrary to the expectations based on the
suppression/non-suppression of quark loops. The resolution of this paradox is
that the Skyrme model does not include the most general type of meson-meson
interaction and, in fact, contains no meson-meson interactions which vanish for
the TLNC limit but not the OLNC. The inclusion of such terms in the model
yields the expected scaling for strange quark matrix elements.
| [
{
"created": "Mon, 17 Jul 2006 14:33:44 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Cherman",
"Aleksey",
""
],
[
"Cohen",
"Thomas D.",
""
]
] | The nucleon's strange quark content comes from closed quark loops, and hence should vanish at leading order in the traditional large $N_c$ (TLNC) limit. Quark loops are not suppressed in the recently proposed orientifold large $N_c$ (OLNC) limit, and thus the strange quark content should be non-vanishing at leading order. The Skyrme model is supposed to encode the large $N_c$ behavior of baryons, and can be formulated for both of these large $N_c$ limits. There is an apparent paradox associated with the large $N_c$ behavior of strange quark matrix elements in the Skyrme model. The model only distinguishes between the two large $N_c$ limits via the $N_c$ scaling of the couplings and the Witten-Wess-Zumino term, so that a vanishing leading order strange matrix element in the TLNC limit implies that it also vanishes at leading order in the OLNC limit, contrary to the expectations based on the suppression/non-suppression of quark loops. The resolution of this paradox is that the Skyrme model does not include the most general type of meson-meson interaction and, in fact, contains no meson-meson interactions which vanish for the TLNC limit but not the OLNC. The inclusion of such terms in the model yields the expected scaling for strange quark matrix elements. |
hep-th/9402148 | Toshiya Kawai | Toshiya Kawai and Kenji Mohri | Geometry of (0,2) Landau-Ginzburg Orbifolds | 30 pages, LaTeX, KEK-TH 389 ( a reference added) | Nucl.Phys. B425 (1994) 191-216 | 10.1016/0550-3213(94)90178-3 | null | hep-th | null | Several aspects of (0,2) Landau-Ginzburg orbifolds are investigated.
Especially the elliptic genera are computed in general and, for a class of
models recently invented by Distler and Kachru, they are compared with the ones
from (0,2) sigma models. Our formalism gives an easy way to calculate the
generation numbers for lots of Distler-Kachru models even if they are based on
singular Calabi-Yau spaces. We also make some general remarks on the
Born-Oppenheimer calculation of the ground states elucidating its mathematical
meaning in the untwisted sector. For Distler-Kachru models based on
non-singular Calabi-Yau spaces we show that there exist `residue' type formulas
of the elliptic genera as well.
| [
{
"created": "Sun, 27 Feb 1994 12:47:26 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 1994 05:00:16 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Kawai",
"Toshiya",
""
],
[
"Mohri",
"Kenji",
""
]
] | Several aspects of (0,2) Landau-Ginzburg orbifolds are investigated. Especially the elliptic genera are computed in general and, for a class of models recently invented by Distler and Kachru, they are compared with the ones from (0,2) sigma models. Our formalism gives an easy way to calculate the generation numbers for lots of Distler-Kachru models even if they are based on singular Calabi-Yau spaces. We also make some general remarks on the Born-Oppenheimer calculation of the ground states elucidating its mathematical meaning in the untwisted sector. For Distler-Kachru models based on non-singular Calabi-Yau spaces we show that there exist `residue' type formulas of the elliptic genera as well. |
2006.07317 | Grigory Tarnopolsky | Igor R. Klebanov, Alexey Milekhin, Grigory Tarnopolsky, Wenli Zhao | Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models | 36 pages, 16 figures; v2: some improvements; v3: version to appear in
JHEP | null | 10.1007/JHEP11(2020)162 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As shown in [1], two copies of the large $N$ Majorana SYK model can produce
spontaneous breaking of a $Z_2$ symmetry when they are coupled by appropriate
quartic terms. In this paper we similarly study two copies of the complex SYK
model coupled by a quartic term preserving the $U(1) \times U(1)$ symmetry. We
also present a tensor counterpart of this coupled model. When the coefficient
$\alpha$ of the quartic term lies in a certain range, the coupled large $N$
theory is nearly conformal. We calculate the scaling dimensions of fermion
bilinear operators as functions of $\alpha$. We show that the operator
$c_{1i}^\dagger c_{2i}$, which is charged under the axial $U(1)$ symmetry,
acquires a complex dimension outside of the line of fixed points. We derive the
large $N$ Dyson-Schwinger equations and show that, outside the fixed line, this
$U(1)$ symmetry is spontaneously broken at low temperatures because this
operator acquires an expectation value. We support these findings by exact
diagonalizations extrapolated to large $N$.
| [
{
"created": "Fri, 12 Jun 2020 16:55:26 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2020 17:36:04 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Oct 2020 15:25:44 GMT",
"version": "v3"
}
] | 2020-12-30 | [
[
"Klebanov",
"Igor R.",
""
],
[
"Milekhin",
"Alexey",
""
],
[
"Tarnopolsky",
"Grigory",
""
],
[
"Zhao",
"Wenli",
""
]
] | As shown in [1], two copies of the large $N$ Majorana SYK model can produce spontaneous breaking of a $Z_2$ symmetry when they are coupled by appropriate quartic terms. In this paper we similarly study two copies of the complex SYK model coupled by a quartic term preserving the $U(1) \times U(1)$ symmetry. We also present a tensor counterpart of this coupled model. When the coefficient $\alpha$ of the quartic term lies in a certain range, the coupled large $N$ theory is nearly conformal. We calculate the scaling dimensions of fermion bilinear operators as functions of $\alpha$. We show that the operator $c_{1i}^\dagger c_{2i}$, which is charged under the axial $U(1)$ symmetry, acquires a complex dimension outside of the line of fixed points. We derive the large $N$ Dyson-Schwinger equations and show that, outside the fixed line, this $U(1)$ symmetry is spontaneously broken at low temperatures because this operator acquires an expectation value. We support these findings by exact diagonalizations extrapolated to large $N$. |
1901.11126 | Kevin Chen | Kevin Chen and Michael Gutperle | Relating AdS$_6$ solutions in type IIB supergravity | 22 pages, 10 figures | JHEP 1904 (2019) 054 | 10.1007/JHEP04(2019)054 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we show that the IIB supergravity solutions of the form
AdS$_6\times M_4$ found by Apruzzi et al. are related to the local solutions
found by D'Hoker et al. We also discuss how the global regular solutions found
by D'Hoker et al. are mapped to the parameterization of Apruzzi et al.
| [
{
"created": "Wed, 30 Jan 2019 22:31:16 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2019 18:49:25 GMT",
"version": "v2"
}
] | 2019-08-01 | [
[
"Chen",
"Kevin",
""
],
[
"Gutperle",
"Michael",
""
]
] | In this note we show that the IIB supergravity solutions of the form AdS$_6\times M_4$ found by Apruzzi et al. are related to the local solutions found by D'Hoker et al. We also discuss how the global regular solutions found by D'Hoker et al. are mapped to the parameterization of Apruzzi et al. |
2105.14792 | Luca Smaldone | Giovanni Acquaviva, Alfredo Iorio, Luca Smaldone | Quantum Groups and Polymer Quantum Mechanics | null | null | 10.1142/S0217732321502291 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In Polymer Quantum Mechanics, a quantization scheme that naturally emerges
from Loop Quantum Gravity, position and momentum operators cannot be both
well-defined on the Hilbert space ( H_Poly ). It is henceforth deemed
impossible to define standard creation and annihilation operators. In this
letter we show that a q-oscillator structure, and hence q-deformed
creation/annihilation operators, can be naturally defined on H_Poly , which is
then mapped into the sum of many copies of the q-oscillator Hilbert space. This
shows that the q-calculus is a natural calculus for Polymer Quantum Mechanics.
Moreover, we show that the inequivalence of different superselected sectors of
H Poly is of topological nature.
| [
{
"created": "Mon, 31 May 2021 08:36:00 GMT",
"version": "v1"
}
] | 2021-11-10 | [
[
"Acquaviva",
"Giovanni",
""
],
[
"Iorio",
"Alfredo",
""
],
[
"Smaldone",
"Luca",
""
]
] | In Polymer Quantum Mechanics, a quantization scheme that naturally emerges from Loop Quantum Gravity, position and momentum operators cannot be both well-defined on the Hilbert space ( H_Poly ). It is henceforth deemed impossible to define standard creation and annihilation operators. In this letter we show that a q-oscillator structure, and hence q-deformed creation/annihilation operators, can be naturally defined on H_Poly , which is then mapped into the sum of many copies of the q-oscillator Hilbert space. This shows that the q-calculus is a natural calculus for Polymer Quantum Mechanics. Moreover, we show that the inequivalence of different superselected sectors of H Poly is of topological nature. |
hep-th/0409013 | Siddartha Naidu | Siddartha Naidu and Richard Holman | Inflaton Decay in an Alpha Vacuum | 16 pages, 1 figure, Revtex 4 preprint | Phys.Rev. D71 (2005) 064026 | 10.1103/PhysRevD.71.064026 | CMU-HEP-04-09 | hep-th | null | We study the alpha vacua of de Sitter space by considering the decay rate of
the inflaton field coupled to a scalar field placed in an alpha vacuum. We find
an {\em alpha dependent} Bose enhancement relative to the Bunch-Davies vacuum
and, surprisingly, no non-renormalizable divergences. We also consider a
modified alpha dependent time ordering prescription for the Feynman propagator
and show that it leads to an alpha independent result. This result suggests
that it may be possible to calculate in any alpha vacuum if we employ the
appropriate causality preserving prescription.
| [
{
"created": "Wed, 1 Sep 2004 19:52:30 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Oct 2004 20:23:51 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2005 15:53:46 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Naidu",
"Siddartha",
""
],
[
"Holman",
"Richard",
""
]
] | We study the alpha vacua of de Sitter space by considering the decay rate of the inflaton field coupled to a scalar field placed in an alpha vacuum. We find an {\em alpha dependent} Bose enhancement relative to the Bunch-Davies vacuum and, surprisingly, no non-renormalizable divergences. We also consider a modified alpha dependent time ordering prescription for the Feynman propagator and show that it leads to an alpha independent result. This result suggests that it may be possible to calculate in any alpha vacuum if we employ the appropriate causality preserving prescription. |
1703.05323 | Patrick K. S. Vaudrevange | Stefan Groot Nibbelink and Patrick K.S. Vaudrevange | T-duality orbifolds of heterotic Narain compactifications | 1+59 pages LaTeX, 1 figure. v2: references added, typos corrected;
published version | null | 10.1007/JHEP04(2017)030 | LMU-ASC 13/17, TUM-HEP 1080/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To obtain a unified framework for symmetric and asymmetric heterotic orbifold
constructions we provide a systematic study of Narain compactifications
orbifolded by finite order T-duality subgroups. We review the generalized
vielbein that parametrizes the Narain moduli space (i.e. the metric, the
B-field and the Wilson lines) and introduce a convenient basis of generators of
the heterotic T-duality group. Using this we generalize the space group
description of orbifolds to Narain orbifolds. This yields a unified,
crystallographic description of the orbifold twists, shifts as well as Narain
moduli. In particular, we derive a character formula that counts the number of
unfixed Narain moduli after orbifolding. Moreover, we develop new machinery
that may ultimately open up the possibility for a full classification of Narain
orbifolds. This is done by generalizing the geometrical concepts of Q-, Z- and
affine classes from the theory of crystallography to the Narain case. Finally,
we give a variety of examples illustrating various aspects of Narain orbifolds,
including novel T-folds.
| [
{
"created": "Wed, 15 Mar 2017 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 12:52:37 GMT",
"version": "v2"
}
] | 2017-04-25 | [
[
"Nibbelink",
"Stefan Groot",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] | To obtain a unified framework for symmetric and asymmetric heterotic orbifold constructions we provide a systematic study of Narain compactifications orbifolded by finite order T-duality subgroups. We review the generalized vielbein that parametrizes the Narain moduli space (i.e. the metric, the B-field and the Wilson lines) and introduce a convenient basis of generators of the heterotic T-duality group. Using this we generalize the space group description of orbifolds to Narain orbifolds. This yields a unified, crystallographic description of the orbifold twists, shifts as well as Narain moduli. In particular, we derive a character formula that counts the number of unfixed Narain moduli after orbifolding. Moreover, we develop new machinery that may ultimately open up the possibility for a full classification of Narain orbifolds. This is done by generalizing the geometrical concepts of Q-, Z- and affine classes from the theory of crystallography to the Narain case. Finally, we give a variety of examples illustrating various aspects of Narain orbifolds, including novel T-folds. |
hep-th/0109152 | B. S. Acharya | Bobby Acharya and Edward Witten | Chiral Fermions from Manifolds of $G_2$ Holonomy | 26 pages | null | null | RUNHETC-2001-27 | hep-th | null | M-theory compactification on a manifold X of $G_2$ holonomy can give chiral
fermions in four dimensions only if X is singular. A number of examples of
conical singularities that give chiral fermions are known; the present paper is
devoted to describing some additional examples. In some of them, the physics
can be determined but the metric is not known explicitly, while in others the
metric can be described explicitly but the physics is more challenging to
understand.
| [
{
"created": "Wed, 19 Sep 2001 20:26:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Acharya",
"Bobby",
""
],
[
"Witten",
"Edward",
""
]
] | M-theory compactification on a manifold X of $G_2$ holonomy can give chiral fermions in four dimensions only if X is singular. A number of examples of conical singularities that give chiral fermions are known; the present paper is devoted to describing some additional examples. In some of them, the physics can be determined but the metric is not known explicitly, while in others the metric can be described explicitly but the physics is more challenging to understand. |
1004.0162 | Shoichi Kawamoto | Wu-yen Chuang, Shou-Huang Dai, Shoichi Kawamoto, Feng-Li Lin, Chen-Pin
Yeh | Dynamical Instability of Holographic QCD at Finite Density | 18 pages, 6 figures;v2. add thermodynamics discussion; v4. Treatment
of the instanton energy changed and QGP analysis added. Some figures replaced
and added, including the phase diagram | Phys.Rev.D83:106003,2011 | 10.1103/PhysRevD.83.106003 | RUNHETC-2010-12 | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the dynamical instability of Sakai-Sugimoto's
holographic QCD model at finite baryon density. In this model, the baryon
density, represented by the smeared instanton on the worldvolume of the probe
D8-\overline{D8} mesonic brane, sources the worldvolume electric field, and
through the Chern-Simons term it will induces the instability to form a chiral
helical wave. This is similar to Deryagin-Grigoriev-Rubakov instability to form
the chiral density wave for large N_c QCD at finite density. Our results show
that this kind of instability occurs for sufficiently high baryon number
densities. The phase diagram of holographic QCD will thus be changed from the
one which is based only on thermodynamics. This holographic approach provides
an effective way to study the phases of QCD at finite density, where the
conventional perturbative QCD and lattice simulation fail.
| [
{
"created": "Thu, 1 Apr 2010 15:50:41 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2010 15:51:09 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Jul 2010 15:22:00 GMT",
"version": "v3"
},
{
"created": "Fri, 19 Nov 2010 04:19:50 GMT",
"version": "v4"
}
] | 2011-05-13 | [
[
"Chuang",
"Wu-yen",
""
],
[
"Dai",
"Shou-Huang",
""
],
[
"Kawamoto",
"Shoichi",
""
],
[
"Lin",
"Feng-Li",
""
],
[
"Yeh",
"Chen-Pin",
""
]
] | In this paper we study the dynamical instability of Sakai-Sugimoto's holographic QCD model at finite baryon density. In this model, the baryon density, represented by the smeared instanton on the worldvolume of the probe D8-\overline{D8} mesonic brane, sources the worldvolume electric field, and through the Chern-Simons term it will induces the instability to form a chiral helical wave. This is similar to Deryagin-Grigoriev-Rubakov instability to form the chiral density wave for large N_c QCD at finite density. Our results show that this kind of instability occurs for sufficiently high baryon number densities. The phase diagram of holographic QCD will thus be changed from the one which is based only on thermodynamics. This holographic approach provides an effective way to study the phases of QCD at finite density, where the conventional perturbative QCD and lattice simulation fail. |
1809.03962 | Suratna Das | Suratna Das | A note on Single-field Inflation and the Swampland Criteria | 4 pages, no figure, revtex4, v2: 6 pages, no figure, discussion on
refined Swampland criteria added, conclusion unchanged, references added.
Accepted for publication in Physical Review D | Phys. Rev. D 99, 083510 (2019) | 10.1103/PhysRevD.99.083510 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recently proposed Swampland Criteria aim to evade any (meta-)stable de
Sitter constructions within String landscapes, making it difficult to
accommodate accelerating phases, like dark energy domination and inflationary
epoch, in cosmology. In this note, we analyse the status of various models of
single field slow-roll inflation given the old as well as the refined Swampland
conjectures, which constrain the form of scalar potentials in any low energy
effective field theory residing in the landscapes. In particular, we note that
Warm Inflation turns out to be the most befitting scenario as long as lifting
the tensions with Swampland Criteria are concerned.
| [
{
"created": "Tue, 11 Sep 2018 15:12:30 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 09:30:46 GMT",
"version": "v2"
}
] | 2019-04-12 | [
[
"Das",
"Suratna",
""
]
] | The recently proposed Swampland Criteria aim to evade any (meta-)stable de Sitter constructions within String landscapes, making it difficult to accommodate accelerating phases, like dark energy domination and inflationary epoch, in cosmology. In this note, we analyse the status of various models of single field slow-roll inflation given the old as well as the refined Swampland conjectures, which constrain the form of scalar potentials in any low energy effective field theory residing in the landscapes. In particular, we note that Warm Inflation turns out to be the most befitting scenario as long as lifting the tensions with Swampland Criteria are concerned. |
hep-th/0211183 | Hisham | M. J. Duff, James T. Liu and H. Sati | Quantum Discontinuity for Massive Spin 3/2 with a Lambda Term | null | Nucl.Phys. B680 (2004) 117-130 | 10.1016/j.nuclphysb.2004.01.006 | MCTP-02-61, PUPT-2061 | hep-th | null | We show that the recently demonstrated absence of the van
Dam-Veltman-Zakharov discontinuity for massive spin 3/2 with a Lambda term is
an artifact of the tree level approximation, and that the discontinuity
reappears at one loop. As a numerical check on the calculation, we rederive the
vanishing of the one- loop beta function for D=11 supergravity on AdS_4 x S^7
level-by-level in the Kaluza-Klein tower.
| [
{
"created": "Tue, 19 Nov 2002 20:36:10 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Duff",
"M. J.",
""
],
[
"Liu",
"James T.",
""
],
[
"Sati",
"H.",
""
]
] | We show that the recently demonstrated absence of the van Dam-Veltman-Zakharov discontinuity for massive spin 3/2 with a Lambda term is an artifact of the tree level approximation, and that the discontinuity reappears at one loop. As a numerical check on the calculation, we rederive the vanishing of the one- loop beta function for D=11 supergravity on AdS_4 x S^7 level-by-level in the Kaluza-Klein tower. |
hep-th/9607127 | Sergey Mayburov | S.N. Mayburov | Quantum Space-Time Transformations and Reference Frames States | 10 pages, Latex, Proc. of 6th Quantum Gravity Seminar, Moscow (World
Scientific, Singapore, 1996) | null | null | null | hep-th gr-qc quant-ph | null | We argue that correct account of the quantum properties of macroscopic
objects which form reference frames (RF) demand the change of the standard
space-time picture accepted in Quantum Mechanics. Galilean or Lorentz
space-time transformations are shown to become incorrect in this case and for
the description of transformations between different RF the special quantum
space-time transformations are introduced. Consequently it results in the
generalised Schrodinger equation which depends on the observer mass. The
experiments with macroscopic coherent states are proposed in which this effects
can be tested.
| [
{
"created": "Mon, 15 Jul 1996 14:21:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mayburov",
"S. N.",
""
]
] | We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time transformations are shown to become incorrect in this case and for the description of transformations between different RF the special quantum space-time transformations are introduced. Consequently it results in the generalised Schrodinger equation which depends on the observer mass. The experiments with macroscopic coherent states are proposed in which this effects can be tested. |
2203.02376 | Juraj Tekel | Harold C. Steinacker, Juraj Tekel | String modes, propagators and loops on fuzzy spaces | null | null | 10.1007/JHEP06(2022)136 | UWThPh-2022-3 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a systematic organization of functions and operators on the fuzzy
2-sphere in terms of string modes, which are optimally localized in position
and momentum space. This allows to separate the semi-classical and the deep
quantum regime of non-commutative quantum field theory and exhibits its
nonlocal nature. This organization greatly simplifies the computation of loop
contributions, avoiding oscillatory integrals and providing the effective
action directly in position space. UV/IR mixing is understood as nonlocality
arising from long string modes in the loops. The method is suited for any
quantized symplectic space.
| [
{
"created": "Fri, 4 Mar 2022 15:29:52 GMT",
"version": "v1"
}
] | 2022-07-13 | [
[
"Steinacker",
"Harold C.",
""
],
[
"Tekel",
"Juraj",
""
]
] | We present a systematic organization of functions and operators on the fuzzy 2-sphere in terms of string modes, which are optimally localized in position and momentum space. This allows to separate the semi-classical and the deep quantum regime of non-commutative quantum field theory and exhibits its nonlocal nature. This organization greatly simplifies the computation of loop contributions, avoiding oscillatory integrals and providing the effective action directly in position space. UV/IR mixing is understood as nonlocality arising from long string modes in the loops. The method is suited for any quantized symplectic space. |
2308.12999 | Theodore Brennan | T. Daniel Brennan | Anomaly Enforced Gaplessness and Symmetry Fractionalization for $Spin_G$
Symmetries | 17 pages plus references | null | null | null | hep-th cond-mat.str-el hep-ph math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Symmetries and their anomalies give strong constraints on renormalization
group (RG) flows of quantum field theories. Recently, the identification of a
theory's global symmetries with its topological sector has provided additional
constraints on RG flows to symmetry preserving gapped phases due to
mathematical results in category and topological quantum field theory. In this
paper, we derive constraints on RG flows from $\mathbb{Z}_2$-valued pure- and
mixed-gravitational anomalies that can only be activated on non-spin manifolds.
We show that such anomalies cannot be matched by a unitary, symmetry preserving
gapped phase without symmetry fractionalization. In particular, we discuss
examples that commonly arise in $4d$ gauge theories with fermions.
| [
{
"created": "Thu, 24 Aug 2023 18:00:21 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Oct 2023 23:22:38 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jan 2024 16:15:43 GMT",
"version": "v3"
}
] | 2024-01-24 | [
[
"Brennan",
"T. Daniel",
""
]
] | Symmetries and their anomalies give strong constraints on renormalization group (RG) flows of quantum field theories. Recently, the identification of a theory's global symmetries with its topological sector has provided additional constraints on RG flows to symmetry preserving gapped phases due to mathematical results in category and topological quantum field theory. In this paper, we derive constraints on RG flows from $\mathbb{Z}_2$-valued pure- and mixed-gravitational anomalies that can only be activated on non-spin manifolds. We show that such anomalies cannot be matched by a unitary, symmetry preserving gapped phase without symmetry fractionalization. In particular, we discuss examples that commonly arise in $4d$ gauge theories with fermions. |
hep-th/9709221 | Pms4 | Richard Battye and Paul Sutcliffe | A Skyrme lattice with hexagonal symmetry | 12 pages, 1 figure. To appear in Phys. Lett. B | Phys.Lett. B416 (1998) 385-391 | 10.1016/S0370-2693(97)01196-9 | null | hep-th | null | Recently it has been found that the structure of Skyrmions has a close
analogy to that of fullerene shells in carbon chemistry. In this letter we show
that this analogy continues further, by presenting a Skyrme field that
describes a lattice of Skyrmions with hexagonal symmetry. This configuration, a
novel `domain wall' in the Skyrme model, has low energy per baryon (about 6%
above the Faddeev-Bogomolny bound) and in many ways is analogous to graphite.
By comparison to the energy per baryon of other known Skyrmions and also the
Skyrme crystal, we discuss the possibility of finding Skyrmion shells of higher
charge.
| [
{
"created": "Tue, 30 Sep 1997 10:32:32 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Battye",
"Richard",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | Recently it has been found that the structure of Skyrmions has a close analogy to that of fullerene shells in carbon chemistry. In this letter we show that this analogy continues further, by presenting a Skyrme field that describes a lattice of Skyrmions with hexagonal symmetry. This configuration, a novel `domain wall' in the Skyrme model, has low energy per baryon (about 6% above the Faddeev-Bogomolny bound) and in many ways is analogous to graphite. By comparison to the energy per baryon of other known Skyrmions and also the Skyrme crystal, we discuss the possibility of finding Skyrmion shells of higher charge. |
1502.07271 | Simone Giombi | Lin Fei, Simone Giombi, Igor R. Klebanov, Grigory Tarnopolsky | Critical $Sp(N)$ Models in $6-\epsilon$ Dimensions and Higher Spin
dS/CFT | 16 pages, 3 figures. v3: added relation to the q=0 Potts model. Some
improvements and references added | null | null | PUPT-2478 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Theories of anti-commuting scalar fields are non-unitary, but they are of
interest both in statistical mechanics and in studies of the higher spin de
Sitter/Conformal Field Theory correspondence. We consider an $Sp(N)$ invariant
theory of $N$ anti-commuting scalars and one commuting scalar, which has cubic
interactions and is renormalizable in 6 dimensions. For any even $N$ we find an
IR stable fixed point in $6-\epsilon$ dimensions at imaginary values of
coupling constants. Using calculations up to three loop order, we develop
$\epsilon$ expansions for several operator dimensions and for the sphere free
energy $F$. The conjectured $F$-theorem is obeyed in spite of the non-unitarity
of the theory. The $1/N$ expansion in the $Sp(N)$ theory is related to that in
the corresponding $O(N)$ symmetric theory by the change of sign of $N$. Our
results point to the existence of interacting non-unitary 5-dimensional CFTs
with $Sp(N)$ symmetry, where operator dimensions are real. We conjecture that
these CFTs are dual to the minimal higher spin theory in 6-dimensional de
Sitter space with Neumann future boundary conditions on the scalar field. For
$N=2$ we show that the IR fixed point possesses an enhanced global symmetry
given by the supergroup $OSp(1|2)$. This suggests the existence of $OSp(1|2)$
symmetric CFTs in dimensions smaller than 6. We show that the $6-\epsilon$
expansions of the scaling dimensions and sphere free energy in our $OSp(1|2)$
model are the same as in the $q \rightarrow 0$ limit of the $q$-state Potts
model.
| [
{
"created": "Wed, 25 Feb 2015 17:43:45 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2015 20:44:44 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jun 2015 17:51:31 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Fei",
"Lin",
""
],
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] | Theories of anti-commuting scalar fields are non-unitary, but they are of interest both in statistical mechanics and in studies of the higher spin de Sitter/Conformal Field Theory correspondence. We consider an $Sp(N)$ invariant theory of $N$ anti-commuting scalars and one commuting scalar, which has cubic interactions and is renormalizable in 6 dimensions. For any even $N$ we find an IR stable fixed point in $6-\epsilon$ dimensions at imaginary values of coupling constants. Using calculations up to three loop order, we develop $\epsilon$ expansions for several operator dimensions and for the sphere free energy $F$. The conjectured $F$-theorem is obeyed in spite of the non-unitarity of the theory. The $1/N$ expansion in the $Sp(N)$ theory is related to that in the corresponding $O(N)$ symmetric theory by the change of sign of $N$. Our results point to the existence of interacting non-unitary 5-dimensional CFTs with $Sp(N)$ symmetry, where operator dimensions are real. We conjecture that these CFTs are dual to the minimal higher spin theory in 6-dimensional de Sitter space with Neumann future boundary conditions on the scalar field. For $N=2$ we show that the IR fixed point possesses an enhanced global symmetry given by the supergroup $OSp(1|2)$. This suggests the existence of $OSp(1|2)$ symmetric CFTs in dimensions smaller than 6. We show that the $6-\epsilon$ expansions of the scaling dimensions and sphere free energy in our $OSp(1|2)$ model are the same as in the $q \rightarrow 0$ limit of the $q$-state Potts model. |
hep-th/0410196 | Antonio Capolupo Dr | Massimo Blasone, Antonio Capolupo, Salvatore Capozziello, Sante
Carloni, Giuseppe Vitiello | Neutrino mixing and cosmological constant | 2pages. Presented at 16th SIGRAV, Conference on General Relativity
and Gravitational Physics, Vietri sul Mare, Italy, 13-16 September 2004 | null | 10.1063/1.1891554 | null | hep-th | null | We report on the recent result that the non--perturbative vacuum structure
associated with neutrino mixing leads to a non--zero contribution to the value
of the cosmological constant. Its value is estimated by using the natural
cut--off appearing in the quantum field theory formalism for neutrino mixing.
| [
{
"created": "Tue, 19 Oct 2004 14:44:12 GMT",
"version": "v1"
}
] | 2016-10-28 | [
[
"Blasone",
"Massimo",
""
],
[
"Capolupo",
"Antonio",
""
],
[
"Capozziello",
"Salvatore",
""
],
[
"Carloni",
"Sante",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] | We report on the recent result that the non--perturbative vacuum structure associated with neutrino mixing leads to a non--zero contribution to the value of the cosmological constant. Its value is estimated by using the natural cut--off appearing in the quantum field theory formalism for neutrino mixing. |
1803.06612 | Konstantin Stepanyantz | A.E.Kazantsev, V.Yu.Shakhmanov, K.V.Stepanyantz | New form of the exact NSVZ $\beta$-function: the three-loop verification
for terms containing Yukawa couplings | 31 pages, 3 figures | null | 10.1007/JHEP04(2018)130 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a recently proposed new form of the exact NSVZ
$\beta$-function, which relates the $\beta$-function to the anomalous
dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and
of the chiral matter superfields. Namely, for the general renormalizable ${\cal
N}=1$ supersymmetric gauge theory, regularized by higher covariant derivatives,
the sum of all three-loop contributions to the $\beta$-function containing the
Yukawa couplings is compared with the corresponding two-loop contributions to
the anomalous dimensions of the quantum superfields. It is demonstrated that
for the considered terms both new and original forms of the NSVZ relation are
valid independently of the subtraction scheme if the renormalization group
functions are defined in terms of the bare couplings. This result is obtained
from the equality relating the loop integrals, which, in turn, follows from the
factorization of the integrals for the $\beta$-function into integrals of
double total derivatives. For the renormalization group functions defined in
terms of the renormalized couplings we verify that the NSVZ scheme is obtained
with the higher covariant derivative regularization supplemented by the
subtraction scheme in which only powers of $\ln\Lambda/\mu$ are included into
the renormalization constants.
| [
{
"created": "Sun, 18 Mar 2018 06:38:41 GMT",
"version": "v1"
}
] | 2018-05-23 | [
[
"Kazantsev",
"A. E.",
""
],
[
"Shakhmanov",
"V. Yu.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | We investigate a recently proposed new form of the exact NSVZ $\beta$-function, which relates the $\beta$-function to the anomalous dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and of the chiral matter superfields. Namely, for the general renormalizable ${\cal N}=1$ supersymmetric gauge theory, regularized by higher covariant derivatives, the sum of all three-loop contributions to the $\beta$-function containing the Yukawa couplings is compared with the corresponding two-loop contributions to the anomalous dimensions of the quantum superfields. It is demonstrated that for the considered terms both new and original forms of the NSVZ relation are valid independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare couplings. This result is obtained from the equality relating the loop integrals, which, in turn, follows from the factorization of the integrals for the $\beta$-function into integrals of double total derivatives. For the renormalization group functions defined in terms of the renormalized couplings we verify that the NSVZ scheme is obtained with the higher covariant derivative regularization supplemented by the subtraction scheme in which only powers of $\ln\Lambda/\mu$ are included into the renormalization constants. |
hep-th/9705222 | Robert Pelka | R. Pelka | Backreaction of excitations on a domain wall | 16 pages, LaTeX, no figures, to be published in Acta Physica Polonica
B | Acta Phys.Polon.B28:1981-1995,1997 | null | null | hep-th | null | Backreaction of excitations on a planar domain wall in a real scalar field
model is investigated in the cases of homogeneous, plane wave and wave packet
type excitations. It is found that the excited domain wall radiates. The method
of calculating backreaction for the general forms of excitations is also
presented.
| [
{
"created": "Wed, 28 May 1997 18:09:38 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Pelka",
"R.",
""
]
] | Backreaction of excitations on a planar domain wall in a real scalar field model is investigated in the cases of homogeneous, plane wave and wave packet type excitations. It is found that the excited domain wall radiates. The method of calculating backreaction for the general forms of excitations is also presented. |
2009.10183 | Yuya Tanizaki | Masazumi Honda, Yuya Tanizaki | Topological aspects of $4$D Abelian lattice gauge theories with the
$\theta$ parameter | 33 pages, 3 figures (v2) refs added, some discussions added | JHEP 12 (2020) 154 | 10.1007/JHEP12(2020)154 | YITP-20-99 | hep-th cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a four-dimensional $U(1)$ gauge theory with the $\theta$ angle,
which was originally proposed by Cardy and Rabinovici. It is known that the
model has the rich phase diagram thanks to the presence of both electrically
and magnetically charged particles. We discuss the topological nature of the
oblique confinement phase of the model at $\theta=\pi$, and show how its
appearance can be consistent with the anomaly constraint. We also construct the
$SL(2,\mathbb{Z})$ self-dual theory out of the Cardy-Rabinovici model by
gauging a part of its one-form symmetry. This self-duality has a mixed 't Hooft
anomaly with gravity, and its implications on the phase diagram is uncovered.
As the model shares the same global symmetry and 't Hooft anomaly with those of
$SU(N)$ Yang-Mills theory, studying its topological aspects would provide us
more hints to explore possible dynamics of non-Abelian gauge theories with
nonzero $\theta$ angles.
| [
{
"created": "Mon, 21 Sep 2020 21:22:21 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2020 11:41:11 GMT",
"version": "v2"
}
] | 2020-12-29 | [
[
"Honda",
"Masazumi",
""
],
[
"Tanizaki",
"Yuya",
""
]
] | We study a four-dimensional $U(1)$ gauge theory with the $\theta$ angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the presence of both electrically and magnetically charged particles. We discuss the topological nature of the oblique confinement phase of the model at $\theta=\pi$, and show how its appearance can be consistent with the anomaly constraint. We also construct the $SL(2,\mathbb{Z})$ self-dual theory out of the Cardy-Rabinovici model by gauging a part of its one-form symmetry. This self-duality has a mixed 't Hooft anomaly with gravity, and its implications on the phase diagram is uncovered. As the model shares the same global symmetry and 't Hooft anomaly with those of $SU(N)$ Yang-Mills theory, studying its topological aspects would provide us more hints to explore possible dynamics of non-Abelian gauge theories with nonzero $\theta$ angles. |
1802.02199 | Stefano Viaggiu | Stefano Viaggiu | Building a linear equation of state for trapped gravitons from finite
size effects and the Schwarzschild black hole case | Final version published in Int. J. Mod. Phys. D | Int. J. Mod. Phys. D Vol. 27 (2018) 1850061 | 10.1142/S021827181850061X | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue the investigations present in \cite{1} and \cite{2}
concerning the spectrum of trapped gravitons in a spherical box, and in
particular inside a Schwarzschild black hole (BH). We explore the possibility
that, due to finite size effects, the frequency of the radiation made of
trapped gravitons can be modified in such a way that a linear equation of state
$PV=\gamma U$ for the pressure $P$ and the internal energy $U$ arises. Firstly,
we study the case with $U\sim R$, where only fluids with $\gamma >-\frac{1}{3}$
are possible. If corrections $\sim 1/R$ are added to $U$, for
$\gamma\in[0,\frac{1}{3}]$ we found no limitation on the allowed value for the
areal radius of the trapped sphere $R$. Moreover, for $\gamma>\frac{1}{3}$ we
have a minimum allowed value for $R$ of the order of the Planck length $L_P$.
Conversely, a fluid with $P<0$ can be obtained but with a maximum allowed value
for $R$. With the added term looking like $\sim 1/R$ to the BH internal energy
$U$, the well known logarithmic corrections to the BH entropy naturally emerge
for any linear equation of state. The results of this paper suggest that finite
size effects could modify the structure of graviton's radiation inside, showing
a possible mechanism to transform radiation into dark energy.
| [
{
"created": "Tue, 6 Feb 2018 20:34:54 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Mar 2018 08:02:46 GMT",
"version": "v2"
}
] | 2018-03-05 | [
[
"Viaggiu",
"Stefano",
""
]
] | In this paper we continue the investigations present in \cite{1} and \cite{2} concerning the spectrum of trapped gravitons in a spherical box, and in particular inside a Schwarzschild black hole (BH). We explore the possibility that, due to finite size effects, the frequency of the radiation made of trapped gravitons can be modified in such a way that a linear equation of state $PV=\gamma U$ for the pressure $P$ and the internal energy $U$ arises. Firstly, we study the case with $U\sim R$, where only fluids with $\gamma >-\frac{1}{3}$ are possible. If corrections $\sim 1/R$ are added to $U$, for $\gamma\in[0,\frac{1}{3}]$ we found no limitation on the allowed value for the areal radius of the trapped sphere $R$. Moreover, for $\gamma>\frac{1}{3}$ we have a minimum allowed value for $R$ of the order of the Planck length $L_P$. Conversely, a fluid with $P<0$ can be obtained but with a maximum allowed value for $R$. With the added term looking like $\sim 1/R$ to the BH internal energy $U$, the well known logarithmic corrections to the BH entropy naturally emerge for any linear equation of state. The results of this paper suggest that finite size effects could modify the structure of graviton's radiation inside, showing a possible mechanism to transform radiation into dark energy. |
1004.2849 | Akbar Jahan | A. Jahan | Path Integral Approach to Fermionic Vacuum Energy in Non-parallel
D1-Branes | 7 pages, no figure | Mod.Phys.Lett.A25:2763-2768,2010 | 10.1142/S0217732310033773 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fermionic one loop vacuum energy of the superstring theory in a system of
non-parallel D1-branes is derived by applying the path integral formalism.
| [
{
"created": "Fri, 16 Apr 2010 14:20:46 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2010 09:49:28 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Jun 2010 09:23:34 GMT",
"version": "v3"
},
{
"created": "Sat, 26 Jun 2010 07:08:45 GMT",
"version": "v4"
},
{
"created": "Mon, 22 Nov 2010 08:31:21 GMT",
"version": "v5"
}
] | 2010-12-09 | [
[
"Jahan",
"A.",
""
]
] | The fermionic one loop vacuum energy of the superstring theory in a system of non-parallel D1-branes is derived by applying the path integral formalism. |
0904.2721 | Davoud Kamani | Davoud Kamani | (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation | 10 pages, Latex, no figure. Some new formulas have been added | J. Exp. Theor. Phys. 112, 794-798 (2011); Zh. Eksp. Theor.
Phys.139:910-914, 2011 | 10.1134/S1063776111040078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We express the covariant actions of a super p-brane and the corresponding
equations of motion, in the flat and curved superspaces, in terms of the Nambu
(p+1)-brackets. These brackets make the (p+1)-algebra structure of super
p-brane manifest. For the flat superspace, this reconstruction of the action
also allows reformulating it in terms of two sets of differential forms.
| [
{
"created": "Fri, 17 Apr 2009 15:20:02 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2009 13:47:18 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Nov 2009 16:39:18 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Mar 2011 12:51:41 GMT",
"version": "v4"
}
] | 2020-08-21 | [
[
"Kamani",
"Davoud",
""
]
] | We express the covariant actions of a super p-brane and the corresponding equations of motion, in the flat and curved superspaces, in terms of the Nambu (p+1)-brackets. These brackets make the (p+1)-algebra structure of super p-brane manifest. For the flat superspace, this reconstruction of the action also allows reformulating it in terms of two sets of differential forms. |
2310.04405 | Graham R. Brown | Andreas Brandhuber, Graham R. Brown, Gang Chen, Joshua Gowdy, Gabriele
Travaglini | Resummed spinning waveforms from five-point amplitudes | 53 pages, 6 figures. v3: JHEP version, typos corrected, references
added | JHEP 02 (2024) 026 | 10.1007/JHEP02(2024)026 | QMUL-PH-23-18 | hep-th astro-ph.HE gr-qc | http://creativecommons.org/licenses/by/4.0/ | We compute the classical tree-level five-point amplitude for the two-to-two
scattering of spinning celestial objects with the emission of a graviton. Using
this five-point amplitude, we then turn to the computation of the leading-order
time-domain gravitational waveform. The method we describe is suitable for
arbitrary values of classical spin of Kerr black holes and does not require any
expansion in powers of the spin. In this paper we illustrate it in the simpler
case of the scattering of one Kerr and one Schwarzschild black hole. An
important ingredient of our calculation is a novel form of the Compton
amplitude with spinning particles including contact terms derived from matching
to black-hole perturbation theory calculations. This ensures that our waveform
is valid up to at least fourth order in the spin. Our method can be applied
immediately to generate improved waveforms once higher-order contact terms in
the Compton amplitude become available. Finally, we show the formula for the
gravitational memory to all orders in the spin, which is in agreement with our
results.
| [
{
"created": "Fri, 6 Oct 2023 17:54:57 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Oct 2023 17:22:27 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Feb 2024 19:15:07 GMT",
"version": "v3"
}
] | 2024-02-20 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Brown",
"Graham R.",
""
],
[
"Chen",
"Gang",
""
],
[
"Gowdy",
"Joshua",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order time-domain gravitational waveform. The method we describe is suitable for arbitrary values of classical spin of Kerr black holes and does not require any expansion in powers of the spin. In this paper we illustrate it in the simpler case of the scattering of one Kerr and one Schwarzschild black hole. An important ingredient of our calculation is a novel form of the Compton amplitude with spinning particles including contact terms derived from matching to black-hole perturbation theory calculations. This ensures that our waveform is valid up to at least fourth order in the spin. Our method can be applied immediately to generate improved waveforms once higher-order contact terms in the Compton amplitude become available. Finally, we show the formula for the gravitational memory to all orders in the spin, which is in agreement with our results. |
hep-th/9803222 | Antonio Garcia Centeno | J. Antonio Garc\'ia and Josep M. Pons | Faddeev-Jackiw approach to gauge theories and ineffective constraints | 21 pages, Latex. To be published in Int. J. Mod. Phys. A | Int.J.Mod.Phys. A13 (1998) 3691-3710 | 10.1142/S0217751X98001736 | UB-ECM-PF 97/20 | hep-th | null | The general conditions for the applicability of the Faddeev-Jackiw approach
to gauge theories are studied. When the constraints are effective a new proof
in the Lagrangian framework of the equivalence between this method and the
Dirac approach is given. We find, however, that the two methods may give
different descriptions for the reduced phase space when ineffective constraints
are present. In some cases the Faddeev-Jackiw approach may lose some
constraints or some equations of motion. We believe that this inequivalence can
be related to the failure of the Dirac conjecture (that says that the Dirac
Hamiltonian can be enlarged to an Extended Hamiltonian including all first
class constraints, without changes in the dynamics) and we suggest that when
the Dirac conjecture fails the Faddeev-Jackiw approach fails to give the
correct dynamics. Finally we present some examples that illustrate this
inequivalence.
| [
{
"created": "Thu, 26 Mar 1998 18:23:07 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"García",
"J. Antonio",
""
],
[
"Pons",
"Josep M.",
""
]
] | The general conditions for the applicability of the Faddeev-Jackiw approach to gauge theories are studied. When the constraints are effective a new proof in the Lagrangian framework of the equivalence between this method and the Dirac approach is given. We find, however, that the two methods may give different descriptions for the reduced phase space when ineffective constraints are present. In some cases the Faddeev-Jackiw approach may lose some constraints or some equations of motion. We believe that this inequivalence can be related to the failure of the Dirac conjecture (that says that the Dirac Hamiltonian can be enlarged to an Extended Hamiltonian including all first class constraints, without changes in the dynamics) and we suggest that when the Dirac conjecture fails the Faddeev-Jackiw approach fails to give the correct dynamics. Finally we present some examples that illustrate this inequivalence. |
hep-th/0003188 | Dirk Kreimer | Alain Connes and Dirk Kreimer | Renormalization in quantum field theory and the Riemann-Hilbert problem
II: the $\beta$-function, diffeomorphisms and the renormalization group | 35 pages, eps figures | Commun.Math.Phys. 216 (2001) 215-241 | 10.1007/PL00005547 | IHES/M/00/22, MZ-TH/00-10 | hep-th hep-ph math.QA | null | We showed in part I (hep-th/9912092) that the Hopf algebra ${\cal H}$ of
Feynman graphs in a given QFT is the algebra of coordinates on a complex
infinite dimensional Lie group $G$ and that the renormalized theory is obtained
from the unrenormalized one by evaluating at $\ve=0$ the holomorphic part
$\gamma_+(\ve)$ of the Riemann-Hilbert decomposition
$\gamma_-(\ve)^{-1}\gamma_+(\ve)$ of the loop $\gamma(\ve)\in G$ provided by
dimensional regularization. We show in this paper that the group $G$ acts
naturally on the complex space $X$ of dimensionless coupling constants of the
theory. More precisely, the formula $g_0=gZ_1Z_3^{-3/2}$ for the effective
coupling constant, when viewed as a formal power series, does define a Hopf
algebra homomorphism between the Hopf algebra of coordinates on the group of
formal diffeomorphisms to the Hopf algebra ${\cal H}$. This allows first of all
to read off directly, without using the group $G$, the bare coupling constant
and the renormalized one from the Riemann-Hilbert decomposition of the
unrenormalized effective coupling constant viewed as a loop of formal
diffeomorphisms. This shows that renormalization is intimately related with the
theory of non-linear complex bundles on the Riemann sphere of the dimensional
regularization parameter $\ve$. It also allows to lift both the renormalization
group and the $\beta$-function as the asymptotic scaling in the group $G$. This
exploits the full power of the Riemann-Hilbert decomposition together with the
invariance of $\gamma_-(\ve)$ under a change of unit of mass. This not only
gives a conceptual proof of the existence of the renormalization group but also
delivers a scattering formula in the group $G$ for the full higher pole
structure of minimal subtracted counterterms in terms of the residue.
| [
{
"created": "Tue, 21 Mar 2000 22:19:39 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Connes",
"Alain",
""
],
[
"Kreimer",
"Dirk",
""
]
] | We showed in part I (hep-th/9912092) that the Hopf algebra ${\cal H}$ of Feynman graphs in a given QFT is the algebra of coordinates on a complex infinite dimensional Lie group $G$ and that the renormalized theory is obtained from the unrenormalized one by evaluating at $\ve=0$ the holomorphic part $\gamma_+(\ve)$ of the Riemann-Hilbert decomposition $\gamma_-(\ve)^{-1}\gamma_+(\ve)$ of the loop $\gamma(\ve)\in G$ provided by dimensional regularization. We show in this paper that the group $G$ acts naturally on the complex space $X$ of dimensionless coupling constants of the theory. More precisely, the formula $g_0=gZ_1Z_3^{-3/2}$ for the effective coupling constant, when viewed as a formal power series, does define a Hopf algebra homomorphism between the Hopf algebra of coordinates on the group of formal diffeomorphisms to the Hopf algebra ${\cal H}$. This allows first of all to read off directly, without using the group $G$, the bare coupling constant and the renormalized one from the Riemann-Hilbert decomposition of the unrenormalized effective coupling constant viewed as a loop of formal diffeomorphisms. This shows that renormalization is intimately related with the theory of non-linear complex bundles on the Riemann sphere of the dimensional regularization parameter $\ve$. It also allows to lift both the renormalization group and the $\beta$-function as the asymptotic scaling in the group $G$. This exploits the full power of the Riemann-Hilbert decomposition together with the invariance of $\gamma_-(\ve)$ under a change of unit of mass. This not only gives a conceptual proof of the existence of the renormalization group but also delivers a scattering formula in the group $G$ for the full higher pole structure of minimal subtracted counterterms in terms of the residue. |
hep-th/0606089 | Jimmy Hutasoit | R. Holman and Jimmy A. Hutasoit | Systematics of Moduli Stabilization, Inflationary Dynamics and Power
Spectrum | 20 pages, JHEP style; v.2 and v.3: typos fixed, discussion and
references added | JHEP0608:053,2006 | 10.1088/1126-6708/2006/08/053 | null | hep-th | null | We study the scalar sector of type IIB superstring theory compactified on
Calabi-Yau orientifolds as a place to find a mechanism of inflation in the
early universe. In the large volume limit, one can stabilize the moduli in
stages using perturbative method. We relate the systematics of moduli
stabilization with methods to reduce the number of possible inflatons, which in
turn lead to a simpler inflation analysis. Calculating the order-of-magnitude
of terms in the equation of motion, we show that the methods are in fact valid.
We then give the examples where these methods are used in the literature. We
also show that there are effects of non-inflaton scalar fields on the scalar
power spectrum. For one of the two methods, these effects can be observed with
the current precision in experiments, while for the other method, the effects
might never be observable.
| [
{
"created": "Fri, 9 Jun 2006 19:51:59 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2006 19:29:49 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2006 20:49:54 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Holman",
"R.",
""
],
[
"Hutasoit",
"Jimmy A.",
""
]
] | We study the scalar sector of type IIB superstring theory compactified on Calabi-Yau orientifolds as a place to find a mechanism of inflation in the early universe. In the large volume limit, one can stabilize the moduli in stages using perturbative method. We relate the systematics of moduli stabilization with methods to reduce the number of possible inflatons, which in turn lead to a simpler inflation analysis. Calculating the order-of-magnitude of terms in the equation of motion, we show that the methods are in fact valid. We then give the examples where these methods are used in the literature. We also show that there are effects of non-inflaton scalar fields on the scalar power spectrum. For one of the two methods, these effects can be observed with the current precision in experiments, while for the other method, the effects might never be observable. |
0708.2970 | Saharian | A. A. Saharian, A. S. Tarloyan | Wightman function and scalar Casimir densities for a wedge with two
cylindrical boundaries | 19 pages, 3 figures | Annals Phys.323:1588-1603,2008 | 10.1016/j.aop.2008.03.001 | null | hep-th quant-ph | null | Wightman function, the vacuum expectation values of the field square and the
energy-momentum tensor are investigated for a massive scalar field with general
curvature coupling parameter inside a wedge with two coaxial cylindrical
boundaries. It is assumed that the field obeys Dirichlet boundary condition on
bounding surfaces. The application of a variant of the generalized Abel-Plana
formula enables to extract from the expectation values the contribution
corresponding to the geometry of a wedge with a single shell and to present the
interference part in terms of exponentially convergent integrals. The local
properties of the vacuum are investigated in various asymptotic regions of the
parameters. The vacuum forces acting on the boundaries are presented as the sum
of self-action and interaction terms. It is shown that the interaction forces
between the separate parts of the boundary are always attractive. The
generalization to the case of a scalar field with Neumann boundary condition is
discussed.
| [
{
"created": "Wed, 22 Aug 2007 08:09:20 GMT",
"version": "v1"
}
] | 2009-06-11 | [
[
"Saharian",
"A. A.",
""
],
[
"Tarloyan",
"A. S.",
""
]
] | Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter inside a wedge with two coaxial cylindrical boundaries. It is assumed that the field obeys Dirichlet boundary condition on bounding surfaces. The application of a variant of the generalized Abel-Plana formula enables to extract from the expectation values the contribution corresponding to the geometry of a wedge with a single shell and to present the interference part in terms of exponentially convergent integrals. The local properties of the vacuum are investigated in various asymptotic regions of the parameters. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. It is shown that the interaction forces between the separate parts of the boundary are always attractive. The generalization to the case of a scalar field with Neumann boundary condition is discussed. |
1503.01564 | Efra\'in Rojas Marcial | Cuauhtemoc Campuzano, Ruben Cordero, Miguel Cruz and Efrain Rojas | On the flat spacetime Galileons and the Born-Infeld type structures | 15 pages, no figures. One reference added. Published version | Int. J. Mod. Phys. D, 24 (2015) 1550041 | 10.1142/S0218271815500418 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary
dimensions can be obtained through a Born-Infeld type structure. This
construction involves a brane metric and non-linear combinations of derivatives
of a scalar field. Our setup gives rise to some Galileon tensors and vectors
useful for the variational analysis which are related to the momentum density
of the probe Lovelock branes floating in a $N$-dimensional flat bulk. We find
further that the Noether currents associated to these Galileon theories may be
written in terms of such tensors.
| [
{
"created": "Thu, 5 Mar 2015 07:45:51 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2015 06:13:36 GMT",
"version": "v2"
}
] | 2016-02-22 | [
[
"Campuzano",
"Cuauhtemoc",
""
],
[
"Cordero",
"Ruben",
""
],
[
"Cruz",
"Miguel",
""
],
[
"Rojas",
"Efrain",
""
]
] | We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary dimensions can be obtained through a Born-Infeld type structure. This construction involves a brane metric and non-linear combinations of derivatives of a scalar field. Our setup gives rise to some Galileon tensors and vectors useful for the variational analysis which are related to the momentum density of the probe Lovelock branes floating in a $N$-dimensional flat bulk. We find further that the Noether currents associated to these Galileon theories may be written in terms of such tensors. |
hep-th/9809050 | Antonio Filippi | Antonio Filippi | Multiplicative anomaly and finite charge density | 7 pages, LaTeX, to appear in Proceedings of QCD at Finite Baryon
Density Workshop, April 1998, Bielefeld, Germany | Nucl.Phys. A642 (1998) 222-227 | 10.1016/S0375-9474(98)00520-X | null | hep-th hep-ph | null | When dealing with zeta-function regularized functional determinants of matrix
valued differential operators, an additional term, overlooked until now and due
to the multiplicative anomaly, may arise. The presence and physical relevance
of this term is discussed in the case of a charged bosonic field at finite
charge density and other possible applications are mentioned.
| [
{
"created": "Tue, 8 Sep 1998 18:20:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Filippi",
"Antonio",
""
]
] | When dealing with zeta-function regularized functional determinants of matrix valued differential operators, an additional term, overlooked until now and due to the multiplicative anomaly, may arise. The presence and physical relevance of this term is discussed in the case of a charged bosonic field at finite charge density and other possible applications are mentioned. |
1601.03029 | Klaus Bering | Igor A. Batalin, Klaus Bering and Peter M. Lavrov | A systematic study of finite BRST-BV transformations within W-X
formulation of the standard and the Sp(2)-extended field-antifield formalism | 17 pages, LaTeX. v2: Minor change of metadata only. v3: Added
Appendix A; Minor corrections to eqs. (2.38) and (2.40). v4: Minor
grammatical corrections. To appear in EPJC | null | 10.1140/epjc/s10052-016-3951-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Finite BRST-BV transformations are studied systematically within the W-X
formulation of the standard and the Sp(2)-extended field-antifield formalism.
The finite BRST-BV transformations are introduced by formulating a new version
of the Lie equations. The corresponding finite change of the gauge-fixing
master action X and the corresponding Ward identity are derived.
| [
{
"created": "Tue, 12 Jan 2016 20:47:59 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 2016 16:55:33 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Feb 2016 11:43:19 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Feb 2016 23:03:37 GMT",
"version": "v4"
}
] | 2016-03-23 | [
[
"Batalin",
"Igor A.",
""
],
[
"Bering",
"Klaus",
""
],
[
"Lavrov",
"Peter M.",
""
]
] | Finite BRST-BV transformations are studied systematically within the W-X formulation of the standard and the Sp(2)-extended field-antifield formalism. The finite BRST-BV transformations are introduced by formulating a new version of the Lie equations. The corresponding finite change of the gauge-fixing master action X and the corresponding Ward identity are derived. |
1506.07798 | Thomas Mertens | Thomas G. Mertens | Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole
Horizons | PhD Thesis, based on arXiv:1305.7443, arXiv:1307.3491,
arXiv:1402.2808, arXiv:1408.6999, arXiv:1408.7012, arXiv:1410.8009 and
arXiv:1505.04025. v2: corrected typos and added references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis concerns the study of high-temperature string theory on curved
backgrounds, generalizing the notions of Hagedorn temperature and thermal
scalar to general backgrounds. Chapter 2 contains a review on string
thermodynamics in flat space, setting the stage. Chapters 3 and 4 contain the
detailed study of the random walk picture in a general curved background.
Chapters 5 and 6 then apply this to Rindler space, the near-horizon
approximation of a generic (uncharged) black hole. Chapters 7 and 8 contain a
study of the AdS3 and BTZ WZW models where we study the thermal spectrum and
the resulting random walk picture that emerges. Chapters 9 and 10 attempt to
draw general conclusions from the study of the two specific examples earlier:
we draw lessons on string thermodynamics in general and on (perturbative)
string thermodynamics around black hole horizons. For the latter, we point out
a possible link to the firewall paradox. Finally, chapter 11 contains a
detailed discussion on the near-Hagedorn (and high-energy) stress tensor in a
generic spacetime, the results of which are applied to provide a description of
the Bekenstein-Hawking entropy in terms of long string equilibration.
| [
{
"created": "Thu, 25 Jun 2015 15:51:26 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Feb 2016 19:34:29 GMT",
"version": "v2"
}
] | 2016-02-16 | [
[
"Mertens",
"Thomas G.",
""
]
] | This thesis concerns the study of high-temperature string theory on curved backgrounds, generalizing the notions of Hagedorn temperature and thermal scalar to general backgrounds. Chapter 2 contains a review on string thermodynamics in flat space, setting the stage. Chapters 3 and 4 contain the detailed study of the random walk picture in a general curved background. Chapters 5 and 6 then apply this to Rindler space, the near-horizon approximation of a generic (uncharged) black hole. Chapters 7 and 8 contain a study of the AdS3 and BTZ WZW models where we study the thermal spectrum and the resulting random walk picture that emerges. Chapters 9 and 10 attempt to draw general conclusions from the study of the two specific examples earlier: we draw lessons on string thermodynamics in general and on (perturbative) string thermodynamics around black hole horizons. For the latter, we point out a possible link to the firewall paradox. Finally, chapter 11 contains a detailed discussion on the near-Hagedorn (and high-energy) stress tensor in a generic spacetime, the results of which are applied to provide a description of the Bekenstein-Hawking entropy in terms of long string equilibration. |
0704.3719 | Matthew Headrick | Matthew Headrick and Tadashi Takayanagi | A holographic proof of the strong subadditivity of entanglement entropy | 9 pages, 3 figures | Phys.Rev.D76:106013,2007 | 10.1103/PhysRevD.76.106013 | SU-ITP-07/08, KUNS-2069 | hep-th cond-mat.stat-mech quant-ph | null | When a quantum system is divided into subsystems, their entanglement
entropies are subject to an inequality known as "strong subadditivity". For a
field theory this inequality can be stated as follows: given any two regions of
space $A$ and $B$, $S(A) + S(B) \ge S(A \cup B) + S(A \cap B)$. Recently, a
method has been found for computing entanglement entropies in any field theory
for which there is a holographically dual gravity theory. In this note we give
a simple geometrical proof of strong subadditivity employing this holographic
prescription.
| [
{
"created": "Fri, 27 Apr 2007 18:00:44 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Headrick",
"Matthew",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space $A$ and $B$, $S(A) + S(B) \ge S(A \cup B) + S(A \cap B)$. Recently, a method has been found for computing entanglement entropies in any field theory for which there is a holographically dual gravity theory. In this note we give a simple geometrical proof of strong subadditivity employing this holographic prescription. |
0811.1638 | Tsuguhiko Asakawa | Tsuguhiko Asakawa, Masashi Mori, Satoshi Watamura | Twist Quantization of String and B Field Background | 25 pages, no figure, typos corrected, references and comments added,
published version | JHEP 0904:117,2009 | 10.1088/1126-6708/2009/04/117 | EPHOU-08-005, TU-827 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous paper, we investigated the Hopf algebra structure in string
theory and gave a unified formulation of the quantization of the string and the
space-time symmetry. In this paper, this formulation is applied to the case
with a nonzero B-field background, and the twist of the Poincare symmetry is
studied. The Drinfeld twist accompanied by the B-field background gives an
alternative quantization scheme, which requires a new normal ordering. In order
to obtain a physical interpretation of this twisted Hopf algebra structure, we
propose a method to decompose the twist into two successive twists and we give
two different possibilities of decomposition. The first is a natural
decomposition from the viewpoint of the twist quantization, leading to a new
type of twisted Poincare symmetry. The second decomposition reveals the
relation of our formulation to the twisted Poincare symmetry on the Moyal type
noncommutative space.
| [
{
"created": "Tue, 11 Nov 2008 06:58:12 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2009 07:46:02 GMT",
"version": "v2"
}
] | 2009-05-01 | [
[
"Asakawa",
"Tsuguhiko",
""
],
[
"Mori",
"Masashi",
""
],
[
"Watamura",
"Satoshi",
""
]
] | In a previous paper, we investigated the Hopf algebra structure in string theory and gave a unified formulation of the quantization of the string and the space-time symmetry. In this paper, this formulation is applied to the case with a nonzero B-field background, and the twist of the Poincare symmetry is studied. The Drinfeld twist accompanied by the B-field background gives an alternative quantization scheme, which requires a new normal ordering. In order to obtain a physical interpretation of this twisted Hopf algebra structure, we propose a method to decompose the twist into two successive twists and we give two different possibilities of decomposition. The first is a natural decomposition from the viewpoint of the twist quantization, leading to a new type of twisted Poincare symmetry. The second decomposition reveals the relation of our formulation to the twisted Poincare symmetry on the Moyal type noncommutative space. |
1905.05864 | Shajid Haque | Saurya Das, S. Shajidul Haque, Bret Underwood | Constraints and Horizons for de Sitter with Extra Dimensions | References added | Phys. Rev. D 100, 046013 (2019) | 10.1103/PhysRevD.100.046013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order for spacetimes with static extra dimensions to have 4-dimensional de
Sitter expansion they must have at least positive curvature, warping sourced by
the 4-d expansion, or violate the null energy condition everywhere in the extra
dimensions. We show how this constraint arises from the null Raychaudhuri
equation, and that it is independent of the matter content, the Einstein
equations, and is true point-by-point in the extra dimensions (not integrated),
setting it apart from other no-go theorems in the literature. We present two
previously known examples -- a Freund-Rubin compactification with bulk
cosmological constant, and a Randall-Sundrum model where the mismatch between
the brane and bulk cosmological constants sources non-trivial warping -- which
evade the constraint, and discuss the implications for flux compactifications.
We also show that any spacetime with static compact extra dimensions and
4-dimensional de Sitter expansion has an apparent horizon and antitrapped
region in the extra dimensions, which may have interesting implications for the
dynamics of bulk fields in cosmology.
| [
{
"created": "Tue, 14 May 2019 22:25:15 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 02:53:25 GMT",
"version": "v2"
}
] | 2019-08-28 | [
[
"Das",
"Saurya",
""
],
[
"Haque",
"S. Shajidul",
""
],
[
"Underwood",
"Bret",
""
]
] | In order for spacetimes with static extra dimensions to have 4-dimensional de Sitter expansion they must have at least positive curvature, warping sourced by the 4-d expansion, or violate the null energy condition everywhere in the extra dimensions. We show how this constraint arises from the null Raychaudhuri equation, and that it is independent of the matter content, the Einstein equations, and is true point-by-point in the extra dimensions (not integrated), setting it apart from other no-go theorems in the literature. We present two previously known examples -- a Freund-Rubin compactification with bulk cosmological constant, and a Randall-Sundrum model where the mismatch between the brane and bulk cosmological constants sources non-trivial warping -- which evade the constraint, and discuss the implications for flux compactifications. We also show that any spacetime with static compact extra dimensions and 4-dimensional de Sitter expansion has an apparent horizon and antitrapped region in the extra dimensions, which may have interesting implications for the dynamics of bulk fields in cosmology. |
1303.6334 | Richard Davison | Richard A. Davison and Andrei Parnachev | Hydrodynamics of cold holographic matter | 36 pages, 4 figures, v2: published version, minor clarifications and
references added | JHEP 1306 (2013) 100 | 10.1007/JHEP06(2013)100 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that at any temperature, the low-energy (with respect to the chemical
potential) collective excitations of the transverse components of the
energy-momentum tensor and the global U(1) current in the field theory dual to
the planar RN-AdS4 black hole are simply those of hydrodynamics. That is,
hydrodynamics is applicable even at energy scales much greater than the
temperature. It is applicable even at zero temperature. Specifically, we find
that there is always a diffusion mode with diffusion constant proportional to
the ratio of entropy density to energy density. At low temperatures, the
leading order momentum and temperature dependences of the dispersion relation
of this mode are controlled by the dimension of an operator in the thermal CFT1
dual to the near-horizon Schwarzschild-AdS2 geometry.
| [
{
"created": "Mon, 25 Mar 2013 22:23:08 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2013 21:20:52 GMT",
"version": "v2"
}
] | 2013-07-11 | [
[
"Davison",
"Richard A.",
""
],
[
"Parnachev",
"Andrei",
""
]
] | We show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar RN-AdS4 black hole are simply those of hydrodynamics. That is, hydrodynamics is applicable even at energy scales much greater than the temperature. It is applicable even at zero temperature. Specifically, we find that there is always a diffusion mode with diffusion constant proportional to the ratio of entropy density to energy density. At low temperatures, the leading order momentum and temperature dependences of the dispersion relation of this mode are controlled by the dimension of an operator in the thermal CFT1 dual to the near-horizon Schwarzschild-AdS2 geometry. |
2010.11603 | Ehsan Hatefi | Ehsan Hatefi, Adrien Kuntz | On Perturbation Theory and Critical Exponents for Self-Similar Systems | V4: 15 pages, 5 figures, typos corrected. Published version in EPJC | Eur. Phys. J. C (2021) 81:15 | 10.1140/epjc/s10052-020-08788-w | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational critical collapse in the Einstein-axion-dilaton system is known
to lead to continuous self-similar solutions characterized by the Choptuik
critical exponent $\gamma$. We complete the existing literature on the subject
by computing the linear perturbation equations in the case where the
axion-dilaton system assumes a parabolic form. Next, we solve the perturbation
equations in a newly discovered self-similar solution in the hyperbolic case,
which allows us to extract the Choptuik exponent. Our main result is that this
exponent depends not only on the dimensions of spacetime but also the
particular ansatz and the critical solutions that one started with.
| [
{
"created": "Thu, 22 Oct 2020 11:05:01 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2020 13:24:06 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Dec 2020 12:46:39 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Feb 2022 23:04:34 GMT",
"version": "v4"
}
] | 2022-02-10 | [
[
"Hatefi",
"Ehsan",
""
],
[
"Kuntz",
"Adrien",
""
]
] | Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $\gamma$. We complete the existing literature on the subject by computing the linear perturbation equations in the case where the axion-dilaton system assumes a parabolic form. Next, we solve the perturbation equations in a newly discovered self-similar solution in the hyperbolic case, which allows us to extract the Choptuik exponent. Our main result is that this exponent depends not only on the dimensions of spacetime but also the particular ansatz and the critical solutions that one started with. |
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