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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1207.3612 | Gerard Hooft 't | Gerard 't Hooft | Discreteness and Determinism in Superstrings | 30 pages (incl. title page). No figures. In version 2, extensive
discussions were added on the subject of the CA interpretation of quantum
mechanics, hidden variables and Bell's inequalities, in response to criticism
aired by several readers of version 1 | null | null | ITP-UU-12/25; SPIN-12/23 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ideas presented in two earlier papers are applied to string theory. It had
been found that a deterministic cellular automaton in one space- and one time
dimension can be mapped onto a bosonic quantum field theory on a 1+1
dimensional lattice. We now also show that a cellular automaton in 1+1
dimensions that processes only ones and zeros, can be mapped onto a fermionic
quantum field theory in a similar way. The natural system to apply all of this
to is superstring theory, and we find that all classical states of a classical,
deterministic string propagating in a rectangular, D dimensional space-time
lattice, with some boolean variables on it, can be mapped onto the elements of
a specially chosen basis for a (quantized) D dimensional superstring. This
string is moderated ("regularized") by a 1+1 dimensional lattice on its world
sheet, which may subsequently be sent to the continuum limit. The space-time
lattice in target space is not sent to the continuum, while this does not seem
to reduce its physically desirable features, including Lorentz invariance. We
claim that our observations add a new twist to discussions concerning the
interpretation of quantum mechanics, which we call the cellular automaton (CA)
interpretation. Detailed discussions of this interpretation, and in particular
its relation to the Bell inequalities, are now included.
| [
{
"created": "Mon, 16 Jul 2012 09:55:07 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Sep 2012 19:12:01 GMT",
"version": "v2"
}
] | 2012-09-18 | [
[
"Hooft",
"Gerard 't",
""
]
] | Ideas presented in two earlier papers are applied to string theory. It had been found that a deterministic cellular automaton in one space- and one time dimension can be mapped onto a bosonic quantum field theory on a 1+1 dimensional lattice. We now also show that a cellular automaton in 1+1 dimensions that processes only ones and zeros, can be mapped onto a fermionic quantum field theory in a similar way. The natural system to apply all of this to is superstring theory, and we find that all classical states of a classical, deterministic string propagating in a rectangular, D dimensional space-time lattice, with some boolean variables on it, can be mapped onto the elements of a specially chosen basis for a (quantized) D dimensional superstring. This string is moderated ("regularized") by a 1+1 dimensional lattice on its world sheet, which may subsequently be sent to the continuum limit. The space-time lattice in target space is not sent to the continuum, while this does not seem to reduce its physically desirable features, including Lorentz invariance. We claim that our observations add a new twist to discussions concerning the interpretation of quantum mechanics, which we call the cellular automaton (CA) interpretation. Detailed discussions of this interpretation, and in particular its relation to the Bell inequalities, are now included. |
1003.1083 | Danilo Diaz | R Aros, D E Diaz and A Montecinos | Logarithmic correction to BH entropy as Noether charge | 14 pages, JHEP style | JHEP 1007:012,2010 | 10.1007/JHEP07(2010)012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the role of the type-A trace anomaly in static black hole
solutions to semiclassical Einstein equation in four dimensions. Via Wald's
Noether charge formalism, we compute the contribution to the entropy coming
from the anomaly induced effective action and unveil a logarithmic correction
to the Bekenstein-Hawking area law.
The corrected entropy is given by a seemingly universal formula involving the
coefficient of the type-A trace anomaly, the Euler characteristic of the
horizon and the value at the horizon of the solution to the uniformization
problem for Q-curvature. Two instances are examined in detail: Schwarzschild
and a four-dimensional massless topological black hole. We also find agreement
with the logarithmic correction due to one-loop contribution of conformal
fields in the Schwarzschild background.
| [
{
"created": "Thu, 4 Mar 2010 16:27:17 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Aros",
"R",
""
],
[
"Diaz",
"D E",
""
],
[
"Montecinos",
"A",
""
]
] | We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equation in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula involving the coefficient of the type-A trace anomaly, the Euler characteristic of the horizon and the value at the horizon of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background. |
hep-th/9310154 | Sergei V. Kryukov | S. V. Kryukov, Ya. P. Pugay | Lattice W algebras and quantum groups | 15 pages, no figures | null | null | LANDAU-93-TMP-5 | hep-th math.QA | null | We represent Feigin's construction [11] of lattice W algebras and give some
simple results: lattice Virasoro and $W_3$ algebras. For simplest case
$g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We
find simplest two-dimensional module as well as exchange relations and define
lattice Virasoro algebra as algebra of invariants of $U_q(sl(2))$. Another
generalization is connected with lattice integrals of motion as the invariants
of quantum affine group $U_q(\hat{n}_{+})$. We show that Volkov's scheme leads
to the system of difference equations for the function from non-commutative
variables.Continium limit of this lattice algebras are considered.
| [
{
"created": "Fri, 22 Oct 1993 09:04:10 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Oct 1993 05:53:21 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kryukov",
"S. V.",
""
],
[
"Pugay",
"Ya. P.",
""
]
] | We represent Feigin's construction [11] of lattice W algebras and give some simple results: lattice Virasoro and $W_3$ algebras. For simplest case $g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We find simplest two-dimensional module as well as exchange relations and define lattice Virasoro algebra as algebra of invariants of $U_q(sl(2))$. Another generalization is connected with lattice integrals of motion as the invariants of quantum affine group $U_q(\hat{n}_{+})$. We show that Volkov's scheme leads to the system of difference equations for the function from non-commutative variables.Continium limit of this lattice algebras are considered. |
1402.1418 | Augusto Sagnotti Prof. | N. Kitazawa and A. Sagnotti | Pre - Inflationary Clues from String Theory ? | 34 pages, LaTeX, 16 eps figures. Relative displacement in fig. 14 and
some typos corrected, references and acknowledgments updated. To appear in
JCAP | null | 10.1088/1475-7516/2014/04/017 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | "Brane supersymmetry breaking" occurs in String Theory when the only
available combinations of D-branes and orientifolds are not mutually BPS and
yet do not introduce tree-level tachyon instabilities. It is characterized by
the emergence of a steep exponential potential, and thus by the absence of
maximally symmetric vacua. The corresponding low-energy supergravity admits
intriguing spatially-flat cosmological solutions where a scalar field is forced
to climb up toward the steep potential after an initial singularity, and
additional milder terms can inject an inflationary phase during the ensuing
descent. We show that, in the resulting power spectra of scalar perturbations,
an infrared suppression is typically followed by a pre-inflationary peak that
reflects the end of the climbing phase and can lie well apart from the
approximately scale invariant profile. A first look at WMAP9 raw data shows
that, while the chi^2 fits for the low-l CMB angular power spectrum are clearly
compatible with an almost scale invariant behavior, they display nonetheless an
eye-catching preference for this type of setting within a perturbative string
regime.
| [
{
"created": "Thu, 6 Feb 2014 17:23:33 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2014 07:09:43 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Kitazawa",
"N.",
""
],
[
"Sagnotti",
"A.",
""
]
] | "Brane supersymmetry breaking" occurs in String Theory when the only available combinations of D-branes and orientifolds are not mutually BPS and yet do not introduce tree-level tachyon instabilities. It is characterized by the emergence of a steep exponential potential, and thus by the absence of maximally symmetric vacua. The corresponding low-energy supergravity admits intriguing spatially-flat cosmological solutions where a scalar field is forced to climb up toward the steep potential after an initial singularity, and additional milder terms can inject an inflationary phase during the ensuing descent. We show that, in the resulting power spectra of scalar perturbations, an infrared suppression is typically followed by a pre-inflationary peak that reflects the end of the climbing phase and can lie well apart from the approximately scale invariant profile. A first look at WMAP9 raw data shows that, while the chi^2 fits for the low-l CMB angular power spectrum are clearly compatible with an almost scale invariant behavior, they display nonetheless an eye-catching preference for this type of setting within a perturbative string regime. |
hep-th/9507009 | null | J.G. Russo | Entropy and black hole horizons | 13 pages, harvmac, 1 figure (section 2 expanded) | Phys.Lett. B359 (1995) 69-76 | 10.1016/0370-2693(95)01020-Q | CERN-TH/95-179 | hep-th gr-qc | null | The standard approach of counting the number of eigenmodes of $N$ scalar
fields near the horizon is used as a basis to provide a simple statistical
mechanical derivation of the black hole entropy in two and four dimensions. The
Bekenstein formula $S={A\ov 4G\h}$ and the two-dimensional entropy $S=2M/\l\h $
are naturally obtained (up to a numerical constant of order 1). This approach
provides an explanation on why the black hole entropy is of order $1/\h $ and
why it is independent of the number of field-theoretical degrees of freedom.
| [
{
"created": "Mon, 3 Jul 1995 18:17:46 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 1995 14:13:27 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Russo",
"J. G.",
""
]
] | The standard approach of counting the number of eigenmodes of $N$ scalar fields near the horizon is used as a basis to provide a simple statistical mechanical derivation of the black hole entropy in two and four dimensions. The Bekenstein formula $S={A\ov 4G\h}$ and the two-dimensional entropy $S=2M/\l\h $ are naturally obtained (up to a numerical constant of order 1). This approach provides an explanation on why the black hole entropy is of order $1/\h $ and why it is independent of the number of field-theoretical degrees of freedom. |
1912.12955 | Greg Kaplanek | Greg Kaplanek and C.P. Burgess | Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing
Down | 26 pages plus appendices, 1 figure; v2) now published in JHEP, typos
fixed and references added | JHEP 02 (2020) 053 | 10.1007/JHEP02(2020)053 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Temporal evolution of a comoving qubit coupled to a scalar field in de Sitter
space is studied with an emphasis on reliable extraction of late-time
behaviour. The phenomenon of critical slowing down is observed if the effective
mass is chosen to be sufficiently close to zero, which narrows the window of
parameter space in which the Markovian approximation is valid. The dynamics of
the system in this case are solved in a more general setting by accounting for
non-Markovian effects in the evolution of the qubit state. Self-interactions
for the scalar field are also incorporated, and reveal a breakdown of late-time
perturbative predictions due to the presence of secular growth.
| [
{
"created": "Mon, 30 Dec 2019 15:11:57 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2020 15:30:32 GMT",
"version": "v2"
}
] | 2020-02-17 | [
[
"Kaplanek",
"Greg",
""
],
[
"Burgess",
"C. P.",
""
]
] | Temporal evolution of a comoving qubit coupled to a scalar field in de Sitter space is studied with an emphasis on reliable extraction of late-time behaviour. The phenomenon of critical slowing down is observed if the effective mass is chosen to be sufficiently close to zero, which narrows the window of parameter space in which the Markovian approximation is valid. The dynamics of the system in this case are solved in a more general setting by accounting for non-Markovian effects in the evolution of the qubit state. Self-interactions for the scalar field are also incorporated, and reveal a breakdown of late-time perturbative predictions due to the presence of secular growth. |
0912.4186 | Bo Zhang | Falk Bruckmann, Ernst-Michael Ilgenfritz, Boris Martemyanov, Bo Zhang | The Vortex Structure of SU(2) Calorons | 21 pages, 20 figures | Phys.Rev.D81:074501,2010 | 10.1103/PhysRevD.81.074501 | HU-EP-09/61 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reveal the center vortex content of SU(2) calorons and ensembles of them.
We use Laplacian Center Gauge as well as Maximal Center Gauges to show that the
vortex in a single caloron consists of two parts. The first one connects the
constituent dyons of the caloron (which are monopoles in Laplacian Abelian
Gauge) and extends in time. The second part is predominantly spatial, encloses
one of the dyons and can be related to the twist in the caloron gauge field.
This part depends strongly on the caloron holonomy and degenerates to a plane
when the holonomy is maximally nontrivial, i.e. when the asymptotic Polyakov
loop is traceless. Correspondingly, we find the spatial vortices in caloron
ensembles to percolate in this case. This finding fits perfectly in the
confinement scenario of vortices and shows that calorons are suitable to
facilitate the vortex confinement mechanism.
| [
{
"created": "Mon, 21 Dec 2009 15:11:06 GMT",
"version": "v1"
}
] | 2010-04-14 | [
[
"Bruckmann",
"Falk",
""
],
[
"Ilgenfritz",
"Ernst-Michael",
""
],
[
"Martemyanov",
"Boris",
""
],
[
"Zhang",
"Bo",
""
]
] | We reveal the center vortex content of SU(2) calorons and ensembles of them. We use Laplacian Center Gauge as well as Maximal Center Gauges to show that the vortex in a single caloron consists of two parts. The first one connects the constituent dyons of the caloron (which are monopoles in Laplacian Abelian Gauge) and extends in time. The second part is predominantly spatial, encloses one of the dyons and can be related to the twist in the caloron gauge field. This part depends strongly on the caloron holonomy and degenerates to a plane when the holonomy is maximally nontrivial, i.e. when the asymptotic Polyakov loop is traceless. Correspondingly, we find the spatial vortices in caloron ensembles to percolate in this case. This finding fits perfectly in the confinement scenario of vortices and shows that calorons are suitable to facilitate the vortex confinement mechanism. |
0804.1241 | John Gracey | J.A. Gracey | Four loop MSbar mass anomalous dimension in the Gross-Neveu model | 20 latex pages, 7 figures | Nucl.Phys.B802:330-350,2008 | 10.1016/j.nuclphysb.2008.04.002 | LTH 786 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the four loop term of the mass anomalous dimension in the two
dimensional Gross-Neveu model in the MSbar scheme. The absence of
multiplicative renormalizability which results when using dimensional
regularization means that the effect of the evanescent operator, which first
appears at three loops in the 4-point Green's function, has to be properly
treated in the construction of the renormalization group function. We repeat
the calculation of the three loop MSbar beta-function and construct the
beta-function of the evanescent operator coupling which corrects earlier
computations.
| [
{
"created": "Tue, 8 Apr 2008 11:09:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gracey",
"J. A.",
""
]
] | We compute the four loop term of the mass anomalous dimension in the two dimensional Gross-Neveu model in the MSbar scheme. The absence of multiplicative renormalizability which results when using dimensional regularization means that the effect of the evanescent operator, which first appears at three loops in the 4-point Green's function, has to be properly treated in the construction of the renormalization group function. We repeat the calculation of the three loop MSbar beta-function and construct the beta-function of the evanescent operator coupling which corrects earlier computations. |
hep-th/9403079 | null | M. Matone | The Higgs model for anyons and Liouville action: Chaotic spectrum,
energy gap and exclusion principle | DFPD/93/TH/69, LaTex | Mod.Phys.Lett. A9 (1994) 1673-1680 | 10.1142/S0217732394001519 | null | hep-th cond-mat | null | Geodesic completness and self-adjointness imply that the Hamiltonian for
anyons is the Laplacian with respect to the Weil-Petersson metric. This metric
is complete on the Deligne-Mumford compactification of moduli (configuration)
space. The structure of this compactification fixes the possible anyon
configurations. This allows us to identify anyons with singularities (elliptic
points with ramification $q^{-1}$) in the Poincar\'e metric implying that anyon
spectrum is chaotic for $n\ge 3$. Furthermore, the bound on the holomorphic
sectional curvature of moduli spaces implies a gap in the energy spectrum. For
$q=0$ (punctures) anyons are infinitely separated in the Poincar\'e metric
(hard-core). This indicates that the exclusion principle has a geometrical
intepretation. Finally we give the differential equation satisfied by the
generating function for volumes of the configuration space of anyons.
| [
{
"created": "Tue, 15 Mar 1994 12:55:37 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Matone",
"M.",
""
]
] | Geodesic completness and self-adjointness imply that the Hamiltonian for anyons is the Laplacian with respect to the Weil-Petersson metric. This metric is complete on the Deligne-Mumford compactification of moduli (configuration) space. The structure of this compactification fixes the possible anyon configurations. This allows us to identify anyons with singularities (elliptic points with ramification $q^{-1}$) in the Poincar\'e metric implying that anyon spectrum is chaotic for $n\ge 3$. Furthermore, the bound on the holomorphic sectional curvature of moduli spaces implies a gap in the energy spectrum. For $q=0$ (punctures) anyons are infinitely separated in the Poincar\'e metric (hard-core). This indicates that the exclusion principle has a geometrical intepretation. Finally we give the differential equation satisfied by the generating function for volumes of the configuration space of anyons. |
2403.07056 | Gong Cheng | ChunJun Cao, Gong Cheng, Alioscia Hamma, Lorenzo Leone, William
Munizzi, Savatore F.E. Oliviero | Gravitational back-reaction is magical | 62 pages, 20 figures; title changed, Theorem 1 and 2 refined,
references added | null | null | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We study the interplay between magic and entanglement in quantum many-body
systems. We show that non-local magic, which is supported by the quantum
correlations is lower bounded by the non-flatness of entanglement spectrum and
upper bounded by the amount of entanglement in the system. We then argue that a
smoothed version of non-local magic bounds the hardness of classical
simulations for incompressible states. In conformal field theories, we
conjecture that the non-local magic should scale linearly with entanglement
entropy but sublinearly when an approximation of the state is allowed. We
support the conjectures using both analytical arguments based on unitary
distillation and numerical data from an Ising CFT. If the CFT has a holographic
dual, then we prove that the non-local magic vanishes if and only if there is
no gravitational back-reaction. Furthermore, we show that non-local magic is
approximately equal to the rate of change of the minimal surface area in
response to the change of cosmic brane tension in the bulk.
| [
{
"created": "Mon, 11 Mar 2024 18:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2024 16:05:39 GMT",
"version": "v2"
}
] | 2024-05-17 | [
[
"Cao",
"ChunJun",
""
],
[
"Cheng",
"Gong",
""
],
[
"Hamma",
"Alioscia",
""
],
[
"Leone",
"Lorenzo",
""
],
[
"Munizzi",
"William",
""
],
[
"Oliviero",
"Savatore F. E.",
""
]
] | We study the interplay between magic and entanglement in quantum many-body systems. We show that non-local magic, which is supported by the quantum correlations is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the amount of entanglement in the system. We then argue that a smoothed version of non-local magic bounds the hardness of classical simulations for incompressible states. In conformal field theories, we conjecture that the non-local magic should scale linearly with entanglement entropy but sublinearly when an approximation of the state is allowed. We support the conjectures using both analytical arguments based on unitary distillation and numerical data from an Ising CFT. If the CFT has a holographic dual, then we prove that the non-local magic vanishes if and only if there is no gravitational back-reaction. Furthermore, we show that non-local magic is approximately equal to the rate of change of the minimal surface area in response to the change of cosmic brane tension in the bulk. |
1005.3455 | Konstantin G. Savvidy | Konstantin G. Savvidy | Quantum electrodynamics of spin 3/2 | 18 pages, 3 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Electromagnetic interactions of the spin 3/2 particle are investigated while
allowing the propagation of the transverse spin 1/2 component present in the
reducible Rarita-Schwinger vector-spinor. This is done by allowing a more
general form for the mass term, while leaving the kinetic terms untouched. We
find that the interaction is consistent and does not lead to superluminal
propagation for a range of the mass parameter where the spin 1/2 component is
lighter than the spin 3/2 component, in contrast to the traditional value
whereby the spin 1/2 component is removed by making it infinitely massive. The
hyperbolicity condition is found to be independent of the magnitude of the
electromagnetic field, and the canonically quantized field is constructed to be
causal. We then provide appropriate projection operators which reproduce the
spin-sum expressions and enable the construction of a physically acceptable
propagator. Finally, we suggest a scheme for extension of the Standard Model
with Rarita-Schwinger multiplets and identify the muon as the spin 1/2
component of the new multiplet which in addition contains a new, heavy partner
of the muon of spin 3/2. The scattering cross-section e+, e- \to {\mu}+, {\mu}-
is calculated within this theory, compared to QED, and finally a bound on the
new particle's mass is obtained from precision electroweak measurements.
| [
{
"created": "Wed, 19 May 2010 14:35:57 GMT",
"version": "v1"
}
] | 2010-05-20 | [
[
"Savvidy",
"Konstantin G.",
""
]
] | Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form for the mass term, while leaving the kinetic terms untouched. We find that the interaction is consistent and does not lead to superluminal propagation for a range of the mass parameter where the spin 1/2 component is lighter than the spin 3/2 component, in contrast to the traditional value whereby the spin 1/2 component is removed by making it infinitely massive. The hyperbolicity condition is found to be independent of the magnitude of the electromagnetic field, and the canonically quantized field is constructed to be causal. We then provide appropriate projection operators which reproduce the spin-sum expressions and enable the construction of a physically acceptable propagator. Finally, we suggest a scheme for extension of the Standard Model with Rarita-Schwinger multiplets and identify the muon as the spin 1/2 component of the new multiplet which in addition contains a new, heavy partner of the muon of spin 3/2. The scattering cross-section e+, e- \to {\mu}+, {\mu}- is calculated within this theory, compared to QED, and finally a bound on the new particle's mass is obtained from precision electroweak measurements. |
hep-th/0512098 | Hiroshi Isono | Yosuke Imamura, Hiroshi Isono and Yutaka Matsuo | Boundary states in the open string channel and CFT near a corner | 23 pages, 4 figures, PTPTeX, v2 references added and some equations
improved, v3 style macro has been changed. BRST analysis added | Prog.Theor.Phys.115:979-1002,2006 | 10.1143/PTP.115.979 | UT-05-19 | hep-th | null | We generalize the idea of boundary states to the open string channel. They
describe emission and absorption of open strings in the presence of
intersecting D-branes. We construct the explicit oscillator representation for
the free boson and fermionic ghost. The inner product of such states describes
a disk amplitude of rectangular shape and possesses modular covariance with a
nontrivial conformal weight. We compare the result obtained here with those
obtained using two different methods, one employing the path integral formalism
and one employing the conformal anomaly. We find that all these methods give
consistent results. In our method, we must be careful in our treatment of the
singularity of the CFT near the corners. Specifically, we derive the correction
to the conformal weight of the primary field inserted at the corner, and it
gives the modular weight of the rectangle amplitude. We also carry out explicit
computations of the correlation functions.
| [
{
"created": "Thu, 8 Dec 2005 14:52:01 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Dec 2005 10:44:43 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Dec 2005 10:17:36 GMT",
"version": "v3"
},
{
"created": "Fri, 12 May 2006 06:10:34 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Imamura",
"Yosuke",
""
],
[
"Isono",
"Hiroshi",
""
],
[
"Matsuo",
"Yutaka",
""
]
] | We generalize the idea of boundary states to the open string channel. They describe emission and absorption of open strings in the presence of intersecting D-branes. We construct the explicit oscillator representation for the free boson and fermionic ghost. The inner product of such states describes a disk amplitude of rectangular shape and possesses modular covariance with a nontrivial conformal weight. We compare the result obtained here with those obtained using two different methods, one employing the path integral formalism and one employing the conformal anomaly. We find that all these methods give consistent results. In our method, we must be careful in our treatment of the singularity of the CFT near the corners. Specifically, we derive the correction to the conformal weight of the primary field inserted at the corner, and it gives the modular weight of the rectangle amplitude. We also carry out explicit computations of the correlation functions. |
0807.2114 | S. Q. Wu | Shuang-Qing Wu | Separability of the massive Dirac's equation in 5-dimensional
Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano
tensor | 15 pages, no figure, revtex4.cls. Typos removed. PRD published
version | Phys.Rev.D78:064052,2008 | 10.1103/PhysRevD.78.064052 | null | hep-th astro-ph gr-qc hep-ph math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Dirac equation for the electron around a five-dimensional rotating black
hole with two different angular momenta is separated into purely radial and
purely angular equations. The general solution is expressed as a superposition
of solutions derived from these two decoupled ordinary differential equations.
By separating variables for the massive Klein-Gordon equation in the same
space-time background, I derive a simple and elegant form for the
Stackel-Killing tensor, which can be easily written as the square of a
rank-three Killing-Yano tensor. I have also explicitly constructed a symmetry
operator that commutes with the scalar Laplacian by using the Stackel-Killing
tensor, and the one with the Dirac operator by the Killing-Yano tensor admitted
by the five-dimensional Myers-Perry metric, respectively.
| [
{
"created": "Mon, 14 Jul 2008 10:20:36 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2008 09:28:34 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Sep 2008 02:02:23 GMT",
"version": "v3"
}
] | 2009-02-23 | [
[
"Wu",
"Shuang-Qing",
""
]
] | The Dirac equation for the electron around a five-dimensional rotating black hole with two different angular momenta is separated into purely radial and purely angular equations. The general solution is expressed as a superposition of solutions derived from these two decoupled ordinary differential equations. By separating variables for the massive Klein-Gordon equation in the same space-time background, I derive a simple and elegant form for the Stackel-Killing tensor, which can be easily written as the square of a rank-three Killing-Yano tensor. I have also explicitly constructed a symmetry operator that commutes with the scalar Laplacian by using the Stackel-Killing tensor, and the one with the Dirac operator by the Killing-Yano tensor admitted by the five-dimensional Myers-Perry metric, respectively. |
2103.01349 | Rodolfo Jos\'e Bueno Rogerio | R. J. Bueno Rogerio and A. R. Aguirre | Spin-half bosonic classification | 5 pages | EPL, 134 (2021) 11001 | 10.1209/0295-5075/134/11001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we define a new spinor classification that encompasses the
recently proposed spin-half bosons with mass dimension three-half. As it will
be shown, these particles, which are governed by a first-order equation and
consequently provide a local theory, belong to a specific subclass of class-2
spinors within the bosonic classification, playing a similar role to Dirac
spinors within the Lounesto classification. Such bosonic classification is
shown to be closely connected with the usual fermionic Lounesto classification,
and thus, evincing a symmetry between Dirac fermions and spin-half bosons.
| [
{
"created": "Mon, 1 Mar 2021 23:21:38 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2021 12:09:47 GMT",
"version": "v2"
}
] | 2021-05-18 | [
[
"Rogerio",
"R. J. Bueno",
""
],
[
"Aguirre",
"A. R.",
""
]
] | In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently provide a local theory, belong to a specific subclass of class-2 spinors within the bosonic classification, playing a similar role to Dirac spinors within the Lounesto classification. Such bosonic classification is shown to be closely connected with the usual fermionic Lounesto classification, and thus, evincing a symmetry between Dirac fermions and spin-half bosons. |
0911.0394 | Gaurav Narain | Gaurav Narain, Christoph Rahmede | Renormalization Group Flow in Scalar-Tensor Theories. II | 14 pages. v.2: Minor changes, some references added | Class.Quant.Grav.27:075002,2010 | 10.1088/0264-9381/27/7/075002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the UV behaviour of actions including integer powers of scalar
curvature and even powers of scalar fields with Functional Renormalization
Group techniques. We find UV fixed points where the gravitational couplings
have non-trivial values while the matter ones are Gaussian. We prove several
properties of the linearized flow at such a fixed point in arbitrary dimensions
in the one-loop approximation and find recursive relations among the critical
exponents. We illustrate these results in explicit calculations in $d=4$ for
actions including up to four powers of scalar curvature and two powers of the
scalar field. In this setting we notice that the same recursive properties
among the critical exponents, which were proven at one-loop order, still hold,
in such a way that the UV critical surface is found to be five dimensional. We
then search for the same type of fixed point in a scalar theory with minimal
coupling to gravity in $d=4$ including up to eight powers of scalar curvature.
Assuming that the recursive properties of the critical exponents still hold,
one would conclude that the UV critical surface of these theories is five
dimensional.
| [
{
"created": "Mon, 2 Nov 2009 19:46:05 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2009 18:50:41 GMT",
"version": "v2"
}
] | 2010-04-29 | [
[
"Narain",
"Gaurav",
""
],
[
"Rahmede",
"Christoph",
""
]
] | We study the UV behaviour of actions including integer powers of scalar curvature and even powers of scalar fields with Functional Renormalization Group techniques. We find UV fixed points where the gravitational couplings have non-trivial values while the matter ones are Gaussian. We prove several properties of the linearized flow at such a fixed point in arbitrary dimensions in the one-loop approximation and find recursive relations among the critical exponents. We illustrate these results in explicit calculations in $d=4$ for actions including up to four powers of scalar curvature and two powers of the scalar field. In this setting we notice that the same recursive properties among the critical exponents, which were proven at one-loop order, still hold, in such a way that the UV critical surface is found to be five dimensional. We then search for the same type of fixed point in a scalar theory with minimal coupling to gravity in $d=4$ including up to eight powers of scalar curvature. Assuming that the recursive properties of the critical exponents still hold, one would conclude that the UV critical surface of these theories is five dimensional. |
hep-th/0110098 | Igor Krichever | I.M. Krichever and D.H. Phong | Spin Chains with Twisted Monodromy | 16 pages, Tex | null | null | null | hep-th math.CV | null | The integrable model corresponding to the ${\cal N}=2$ supersymmetric SU(N)
gauge theory with matter in the symmetric representation is constructed. It is
a spin chain model, whose key feature is a new twisted monodromy condition.
| [
{
"created": "Wed, 10 Oct 2001 17:20:58 GMT",
"version": "v1"
}
] | 2007-12-23 | [
[
"Krichever",
"I. M.",
""
],
[
"Phong",
"D. H.",
""
]
] | The integrable model corresponding to the ${\cal N}=2$ supersymmetric SU(N) gauge theory with matter in the symmetric representation is constructed. It is a spin chain model, whose key feature is a new twisted monodromy condition. |
2311.14630 | Pankaj Chaturvedi | Ido Ben-Dayan and Pankaj Chaturvedi | SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's
mechanism | 35 pages and 2 figures. In the previous version, there was a mistake
in the definition of the model with respect to the Hubbard-Stratonovich
transformation. This has been corrected | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the case of the SYK model with non-gaussian disorder in the large
$N$ limit. After obtaining the effective action, we derive the density of
states and the free energy of the modified theory. We show that the
non-gaussian disorder corresponds to a non-local Liouville theory, and
non-minimally coupled 2D gravity action. It also provides a nice realization of
Colemania - Coleman's idea from the 80s of generating a small Cosmological
Constant. Finally, we also calculate out of time order correlation functions
(OTOC) for the model.
| [
{
"created": "Fri, 24 Nov 2023 17:51:18 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2023 15:20:18 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Apr 2024 15:08:39 GMT",
"version": "v3"
},
{
"created": "Thu, 9 May 2024 10:30:54 GMT",
"version": "v4"
},
{
"cre... | 2024-05-27 | [
[
"Ben-Dayan",
"Ido",
""
],
[
"Chaturvedi",
"Pankaj",
""
]
] | We consider the case of the SYK model with non-gaussian disorder in the large $N$ limit. After obtaining the effective action, we derive the density of states and the free energy of the modified theory. We show that the non-gaussian disorder corresponds to a non-local Liouville theory, and non-minimally coupled 2D gravity action. It also provides a nice realization of Colemania - Coleman's idea from the 80s of generating a small Cosmological Constant. Finally, we also calculate out of time order correlation functions (OTOC) for the model. |
2309.02382 | Ranveer Kumar Singh | Gregory W. Moore and Ranveer Kumar Singh | Beauty And The Beast Part 2: Apprehending The Missing Supercurrent | 66 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The Moonshine module is a $c=24$ conformal field theory (CFT) whose
automorphism group is the Monster group. It was argued by Dixon, Ginsparg, and
Harvey in \cite{Dixon:1988qd} that there exists a spin lift of the Moonshine
CFT with superconformal symmetry. Reference \cite{Dixon:1988qd} did not provide
an explicit construction of a superconformal current. The present paper fills
that gap. In fact, we will construct several superconformal currents in a spin
lift of the Moonshine CFT using techniques developed in \cite{Harvey:2020jvu}.
In particular, our construction relies on error correcting codes.
| [
{
"created": "Tue, 5 Sep 2023 16:49:25 GMT",
"version": "v1"
}
] | 2023-09-06 | [
[
"Moore",
"Gregory W.",
""
],
[
"Singh",
"Ranveer Kumar",
""
]
] | The Moonshine module is a $c=24$ conformal field theory (CFT) whose automorphism group is the Monster group. It was argued by Dixon, Ginsparg, and Harvey in \cite{Dixon:1988qd} that there exists a spin lift of the Moonshine CFT with superconformal symmetry. Reference \cite{Dixon:1988qd} did not provide an explicit construction of a superconformal current. The present paper fills that gap. In fact, we will construct several superconformal currents in a spin lift of the Moonshine CFT using techniques developed in \cite{Harvey:2020jvu}. In particular, our construction relies on error correcting codes. |
0706.1025 | Loriano Bonora | L. Bonora, C. Maccaferri, R. J. Scherer Santos, D. D. Tolla | Ghost story. I. Wedge states in the oscillator formalism | 53 pages, latex, subsection 2.5 and section 6 enlarged, to appear in
JHEP | JHEP 0709:061,2007 | 10.1088/1126-6708/2007/09/061 | SISSA/34/2007/EP | hep-th | null | This paper is primarily devoted to the ghost wedge states in string field
theory formulated with the oscillator formalism. Our aim is to prove, using
such formalism, that the wedge states can be expressed as
|n> = exp[{2-n}/2 ({\cal L}_0+{\cal L}_0^\daggert)]|0>, separately in the
matter and ghost sector. This relation is crucial for instance in the proof of
Schnabl's solution. We start from the exponentials in the rhs and wish to prove
that they take precisely the form of wedge states. As a guideline we first
re-demonstrate this relation for the matter part. Then we turn to the ghosts.
On the way we face the problem of `diagonalizing' infinite rectangular
matrices. We manage to give a meaning to such an operation and to prove that
the eigenvalues we obtain satisfy the recursion relations of the wedge states.
| [
{
"created": "Thu, 7 Jun 2007 15:38:16 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jun 2007 15:27:51 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Sep 2007 16:16:42 GMT",
"version": "v3"
}
] | 2009-04-03 | [
[
"Bonora",
"L.",
""
],
[
"Maccaferri",
"C.",
""
],
[
"Santos",
"R. J. Scherer",
""
],
[
"Tolla",
"D. D.",
""
]
] | This paper is primarily devoted to the ghost wedge states in string field theory formulated with the oscillator formalism. Our aim is to prove, using such formalism, that the wedge states can be expressed as |n> = exp[{2-n}/2 ({\cal L}_0+{\cal L}_0^\daggert)]|0>, separately in the matter and ghost sector. This relation is crucial for instance in the proof of Schnabl's solution. We start from the exponentials in the rhs and wish to prove that they take precisely the form of wedge states. As a guideline we first re-demonstrate this relation for the matter part. Then we turn to the ghosts. On the way we face the problem of `diagonalizing' infinite rectangular matrices. We manage to give a meaning to such an operation and to prove that the eigenvalues we obtain satisfy the recursion relations of the wedge states. |
hep-th/0405123 | Alexander Popov | Alexander D. Popov, Christian Saemann | On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills
Theory | 48 pages; version to appear in ATMP | Adv.Theor.Math.Phys. 9 (2005) 931-998 | null | null | hep-th | null | It was recently shown by Witten that B-type open topological string theory
with the supertwistor space CP^{3|4} as a target space is equivalent to
holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in
turn is equivalent to self-dual N=4 super Yang-Mills (SYM) theory in four
dimensions. We review the supertwistor description of self-dual and
anti-self-dual N-extended SYM theory as the integrability of super Yang-Mills
fields on complex (2|N)-dimensional superplanes and demonstrate the equivalence
of this description to Witten's formulation. The equivalence of the field
equations of hCS theory on an open subset of CP^{3|N} to the field equations of
self-dual N-extended SYM theory in four dimensions is made explicit.
Furthermore, we extend the picture to the full N=4 SYM theory and, by using the
known supertwistor description of this case, we show that the corresponding
constraint equations are (gauge) equivalent to the field equations of hCS
theory on a quadric in CP^{3|3}xCP^{3|3}.
| [
{
"created": "Thu, 13 May 2004 15:50:28 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 2004 12:06:07 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Jun 2004 15:06:46 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Dec 2004 13:01:25 GMT",
"version": "v4"
},
{
"cr... | 2007-05-23 | [
[
"Popov",
"Alexander D.",
""
],
[
"Saemann",
"Christian",
""
]
] | It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP^{3|4} as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in turn is equivalent to self-dual N=4 super Yang-Mills (SYM) theory in four dimensions. We review the supertwistor description of self-dual and anti-self-dual N-extended SYM theory as the integrability of super Yang-Mills fields on complex (2|N)-dimensional superplanes and demonstrate the equivalence of this description to Witten's formulation. The equivalence of the field equations of hCS theory on an open subset of CP^{3|N} to the field equations of self-dual N-extended SYM theory in four dimensions is made explicit. Furthermore, we extend the picture to the full N=4 SYM theory and, by using the known supertwistor description of this case, we show that the corresponding constraint equations are (gauge) equivalent to the field equations of hCS theory on a quadric in CP^{3|3}xCP^{3|3}. |
1602.08718 | Davood Momeni Dr | Davood Momeni, Kairat Myrzakulov, Ratbay Myrzakulov | Phase transition via entanglement entropy in $AdS_3/CFT_2$
superconductors | 9 pages, no figure, contribution to the 14th Regional Conference on
Mathematical Physics, November 9-14, 2015, Quaid-i-Azam University,
Islamabad, Pakistan | null | 10.1142/9789813224971_0024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this report is to provide a framework for defining phase
transition processes in two dimensional holographic superconductors, and to
illustrate how they are useful to be described by holographic entanglement
entropy. We study holographic entanglement entropy in a two dimensional fully
backrected model for holographic superconductors. We prove that phase
transition could be observe using a discontinuty in the first order of entropy.
| [
{
"created": "Sun, 28 Feb 2016 13:54:00 GMT",
"version": "v1"
}
] | 2018-04-11 | [
[
"Momeni",
"Davood",
""
],
[
"Myrzakulov",
"Kairat",
""
],
[
"Myrzakulov",
"Ratbay",
""
]
] | The purpose of this report is to provide a framework for defining phase transition processes in two dimensional holographic superconductors, and to illustrate how they are useful to be described by holographic entanglement entropy. We study holographic entanglement entropy in a two dimensional fully backrected model for holographic superconductors. We prove that phase transition could be observe using a discontinuty in the first order of entropy. |
hep-th/0210189 | Martin Aaron Bucher | Jose J. Blanco-Pillado and Martin Bucher (DAMTP, U. of Cambridge) | The Global Structure of the Colliding Bubble Braneworld Universe | 7 pages Latex REVTEX with 2 Postscript figures. To appear in the
Proceedings of the VFC Workshop at the JENAM 2002 conference | Astrophys.Space Sci. 283 (2003) 525-530 | 10.1023/A:1022569021465 | null | hep-th gr-qc hep-ph | null | We comment on the global structure of the spacetime that results from the
collision of two bubbles filled with AdS space produced from the decay of a
false vacuum through quantum tunnelling.
| [
{
"created": "Sun, 20 Oct 2002 16:38:05 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Blanco-Pillado",
"Jose J.",
"",
"DAMTP, U. of Cambridge"
],
[
"Bucher",
"Martin",
"",
"DAMTP, U. of Cambridge"
]
] | We comment on the global structure of the spacetime that results from the collision of two bubbles filled with AdS space produced from the decay of a false vacuum through quantum tunnelling. |
2406.02662 | Stathis Vitouladitis | Diego M. Hofman, Stathis Vitouladitis | Generalised symmetries and state-operator correspondence for nonlocal
operators | 55 pages + references, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We provide a one-to-one correspondence between line operators and states in
four-dimensional CFTs with continuous 1-form symmetries. In analogy with 0-form
symmetries in two dimensions, such CFTs have a free photon realisation and
enjoy an infinite-dimensional current algebra that generalises the familiar
Kac-Moody algebras. We construct the representation theory of this current
algebra, which allows for a full description of the space of states on an
arbitrary closed spatial slice. On $\mathbb{S}^2\times\mathbb{S}^1$, we
rederive the spectrum by performing a path integral on
$\mathbb{B}^3\times\mathbb{S}^1$ with insertions of line operators. This leads
to a direct and explicit correspondence between the line operators of the
theory and the states on $\mathbb{S}^2\times\mathbb{S}^1$. Interestingly, we
find that the vacuum state is not prepared by the empty path integral but by a
squeezing operator. Additionally, we generalise some of our results in two
directions. Firstly, we construct current algebras in $(2p+2)$-dimensional
CFTs, that are universal whenever the theory has a $p$-form symmetry, and
secondly we provide a non-invertible generalisation of those higher-dimensional
current algebras.
| [
{
"created": "Tue, 4 Jun 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-06-06 | [
[
"Hofman",
"Diego M.",
""
],
[
"Vitouladitis",
"Stathis",
""
]
] | We provide a one-to-one correspondence between line operators and states in four-dimensional CFTs with continuous 1-form symmetries. In analogy with 0-form symmetries in two dimensions, such CFTs have a free photon realisation and enjoy an infinite-dimensional current algebra that generalises the familiar Kac-Moody algebras. We construct the representation theory of this current algebra, which allows for a full description of the space of states on an arbitrary closed spatial slice. On $\mathbb{S}^2\times\mathbb{S}^1$, we rederive the spectrum by performing a path integral on $\mathbb{B}^3\times\mathbb{S}^1$ with insertions of line operators. This leads to a direct and explicit correspondence between the line operators of the theory and the states on $\mathbb{S}^2\times\mathbb{S}^1$. Interestingly, we find that the vacuum state is not prepared by the empty path integral but by a squeezing operator. Additionally, we generalise some of our results in two directions. Firstly, we construct current algebras in $(2p+2)$-dimensional CFTs, that are universal whenever the theory has a $p$-form symmetry, and secondly we provide a non-invertible generalisation of those higher-dimensional current algebras. |
hep-th/0003014 | Horacio E. Camblong | Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, and Carlos A.
Garcia Canal | Renormalization of the Inverse Square Potential | 5 pages | Phys.Rev.Lett. 85 (2000) 1590-1593 | 10.1103/PhysRevLett.85.1590 | null | hep-th quant-ph | null | The quantum-mechanical D-dimensional inverse square potential is analyzed
using field-theoretic renormalization techniques. A solution is presented for
both the bound-state and scattering sectors of the theory using cutoff and
dimensional regularization. In the renormalized version of the theory, there is
a strong-coupling regime where quantum-mechanical breaking of scale symmetry
takes place through dimensional transmutation, with the creation of a single
bound state and of an energy-dependent s-wave scattering matrix element.
| [
{
"created": "Thu, 2 Mar 2000 10:37:48 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Sep 2000 03:09:51 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Camblong",
"Horacio E.",
""
],
[
"Epele",
"Luis N.",
""
],
[
"Fanchiotti",
"Huner",
""
],
[
"Canal",
"Carlos A. Garcia",
""
]
] | The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element. |
hep-th/9910256 | Shinji Hirano | Shinji Hirano | Exact Renormalization Group and Loop Equation | 13 pages, Latex, References added. An error in eq. (6) fixed and a
few corrrections accordingly. Results unchanged | Phys.Rev. D61 (2000) 125011 | 10.1103/PhysRevD.61.125011 | NSF-ITP-99-128 | hep-th | null | We propose a gauge invariant formulation of the exact renormalization group
equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the
construction by Tim Morris. In fact we show that our renormalization group
equation amounts to a regularized version of the loop equation, thereby
providing a direct relation between the exact renormalization group and the
Schwinger-Dyson equations. We also discuss a possible implication of our
formulation to the holographic correspondence of the bulk gravity and the
boundary gauge theory.
| [
{
"created": "Sun, 31 Oct 1999 07:04:48 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 1999 01:10:24 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Mar 2000 03:52:49 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hirano",
"Shinji",
""
]
] | We propose a gauge invariant formulation of the exact renormalization group equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the construction by Tim Morris. In fact we show that our renormalization group equation amounts to a regularized version of the loop equation, thereby providing a direct relation between the exact renormalization group and the Schwinger-Dyson equations. We also discuss a possible implication of our formulation to the holographic correspondence of the bulk gravity and the boundary gauge theory. |
2105.00021 | Lorenzo Quintavalle | Ilija Buric, Sylvain Lacroix, Jeremy Mann, Lorenzo Quintavalle, Volker
Schomerus | Gaudin Models and Multipoint Conformal Blocks: General Theory | 52 pages, 10 figures; v2: published version, corrected typos in main
text and Mathematica notebook | null | 10.1007/JHEP10(2021)139 | DESY 21-052, SAGEX21-08-E, ZMP-HH/21-8 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The construction of conformal blocks for the analysis of multipoint
correlation functions with $N > 4$ local field insertions is an important open
problem in higher dimensional conformal field theory. This is the first in a
series of papers in which we address this challenge, following and extending
our short announcement in [Phys. Rev. Lett. 126, 021602]. According to Dolan
and Osborn, conformal blocks can be determined from the set of differential
eigenvalue equations that they satisfy. We construct a complete set of
commuting differential operators that characterize multipoint conformal blocks
for any number $N$ of points in any dimension and for any choice of OPE channel
through the relation with Gaudin integrable models we uncovered in [Phys. Rev.
Lett. 126, 021602]. For 5-point conformal blocks, there exist five such
operators which are worked out smoothly in the dimension $d$.
| [
{
"created": "Fri, 30 Apr 2021 18:09:12 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2021 20:37:07 GMT",
"version": "v2"
}
] | 2021-11-18 | [
[
"Buric",
"Ilija",
""
],
[
"Lacroix",
"Sylvain",
""
],
[
"Mann",
"Jeremy",
""
],
[
"Quintavalle",
"Lorenzo",
""
],
[
"Schomerus",
"Volker",
""
]
] | The construction of conformal blocks for the analysis of multipoint correlation functions with $N > 4$ local field insertions is an important open problem in higher dimensional conformal field theory. This is the first in a series of papers in which we address this challenge, following and extending our short announcement in [Phys. Rev. Lett. 126, 021602]. According to Dolan and Osborn, conformal blocks can be determined from the set of differential eigenvalue equations that they satisfy. We construct a complete set of commuting differential operators that characterize multipoint conformal blocks for any number $N$ of points in any dimension and for any choice of OPE channel through the relation with Gaudin integrable models we uncovered in [Phys. Rev. Lett. 126, 021602]. For 5-point conformal blocks, there exist five such operators which are worked out smoothly in the dimension $d$. |
hep-th/0311136 | Eiji Ogasa | Eiji Ogasa | Supersymmetry, homology with twisted coefficients and n-dimensional
knots | 10pages, no figures | Int.J.Mod.Phys. A21 (2006) 4185-4196 | 10.1142/S0217751X06030941 | null | hep-th | null | Let $n$ be any natural number. Let $K$ be any $n$-dimensional knot in
$S^{n+2}$. We define a supersymmetric quantum system for $K$ with the following
properties. We firstly construct a set of functional spaces (spaces of
fermionic \{resp. bosonic\} states) and a set of operators (supersymmetric
infinitesimal transformations) in an explicit way. Thus we obtain a set of the
Witten indexes for $K$. Our Witten indexes are topological invariants for
$n$-dimensional knots. Our Witten indexes are not zero in general. If $K$ is
equivalent to the trivial knot, all of our Witten indexes are zero. Our Witten
indexes restrict the Alexander polynomials of $n$-knots. If one of our Witten
indexes for an $n$-knot $K$ is nonzero, then one of the Alexander polynomials
of $K$ is nontrivial. Our Witten indexes are connected with homology with
twisted coefficients. Roughly speaking, our Witten indexes have path integral
representation by using a usual manner of supersymmetric theory.
| [
{
"created": "Sun, 16 Nov 2003 10:51:09 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ogasa",
"Eiji",
""
]
] | Let $n$ be any natural number. Let $K$ be any $n$-dimensional knot in $S^{n+2}$. We define a supersymmetric quantum system for $K$ with the following properties. We firstly construct a set of functional spaces (spaces of fermionic \{resp. bosonic\} states) and a set of operators (supersymmetric infinitesimal transformations) in an explicit way. Thus we obtain a set of the Witten indexes for $K$. Our Witten indexes are topological invariants for $n$-dimensional knots. Our Witten indexes are not zero in general. If $K$ is equivalent to the trivial knot, all of our Witten indexes are zero. Our Witten indexes restrict the Alexander polynomials of $n$-knots. If one of our Witten indexes for an $n$-knot $K$ is nonzero, then one of the Alexander polynomials of $K$ is nontrivial. Our Witten indexes are connected with homology with twisted coefficients. Roughly speaking, our Witten indexes have path integral representation by using a usual manner of supersymmetric theory. |
hep-th/9912128 | Nicola Grillo | Nicola Grillo | Scalar Matter Coupled to Quantum Gravity in the Causal Approach: Finite
One-Loop Calculations and Perturbative Gauge Invariance | 37 pages, latex, no figures, some typos corrected, section 3 modified | Annals Phys. 287 (2001) 153-190 | 10.1006/aphy.2000.6104 | ZU-TH 40/1999 | hep-th | null | Quantum gravity coupled to scalar massive matter fields is investigated
within the framework of causal perturbation theory. One-loop calculations
include matter loop graviton self-energy and matter self-energy and yield
ultraviolet finite and cutoff-free expressions. Perturbative gauge invariance
to second order implies the usual Slavnov-Ward identities for the graviton
self-energy in the loop graph sector and generates the correct quartic
graviton-matter interaction in the tree graph sector. The mass zero case is
also discussed.
| [
{
"created": "Wed, 15 Dec 1999 10:48:26 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2000 09:52:27 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Grillo",
"Nicola",
""
]
] | Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite and cutoff-free expressions. Perturbative gauge invariance to second order implies the usual Slavnov-Ward identities for the graviton self-energy in the loop graph sector and generates the correct quartic graviton-matter interaction in the tree graph sector. The mass zero case is also discussed. |
1802.07157 | Matthieu Tissier | Bertrand Delamotte, Matthieu Tissier and Nicol\'as Wschebor | Comment on "A structural test for the conformal invariance of the
critical 3d Ising model" by S. Meneses, S. Rychkov, J. M. Viana Parente Lopes
and P. Yvernay. arXiv:1802.02319 | 6 pages, typo corrected in the title | null | null | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent preprint [ArXiv 1802.02319], Meneses et al. challenge our proof
that scale invariance implies conformal invariance for the three-dimensional
Ising model [B. Delamotte, M. Tissier and N. Wschebor, Phys. Rev. E 93 (2016),
012144.]. We refute their arguments. We also point out a mistake in their
one-loop calculation of the dimension of the vector operator $V_\mu$ of lowest
dimension which is not a total derivative.
| [
{
"created": "Tue, 20 Feb 2018 15:45:49 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2018 14:30:37 GMT",
"version": "v2"
}
] | 2018-02-22 | [
[
"Delamotte",
"Bertrand",
""
],
[
"Tissier",
"Matthieu",
""
],
[
"Wschebor",
"Nicolás",
""
]
] | In a recent preprint [ArXiv 1802.02319], Meneses et al. challenge our proof that scale invariance implies conformal invariance for the three-dimensional Ising model [B. Delamotte, M. Tissier and N. Wschebor, Phys. Rev. E 93 (2016), 012144.]. We refute their arguments. We also point out a mistake in their one-loop calculation of the dimension of the vector operator $V_\mu$ of lowest dimension which is not a total derivative. |
hep-th/0108074 | Pat Malone | D.G.C. McKeon (University of Western Ontario), T.N. Sherry (National
University of Ireland, Galway) | Supersymmetry and Superfields in Three Euclidean Dimensions | null | null | null | null | hep-th | null | The simplest supersymmetry algebra and superspace in three dimensional
Euclidean (3dE) space is examined. Representations of the algebra are
considered and the implications of restricting the space of states to states
with positive definite norm are determined.
A superspace is defined and superfields are introduced. Supersymmetric field
theory models in 3dE are described both in superfield and component field
forms. The relationship between these models, and similar models in four
dimensional Minkowski space is described.
| [
{
"created": "Fri, 10 Aug 2001 16:02:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"McKeon",
"D. G. C.",
"",
"University of Western Ontario"
],
[
"Sherry",
"T. N.",
"",
"National\n University of Ireland, Galway"
]
] | The simplest supersymmetry algebra and superspace in three dimensional Euclidean (3dE) space is examined. Representations of the algebra are considered and the implications of restricting the space of states to states with positive definite norm are determined. A superspace is defined and superfields are introduced. Supersymmetric field theory models in 3dE are described both in superfield and component field forms. The relationship between these models, and similar models in four dimensional Minkowski space is described. |
hep-th/9207050 | Galperin | F. Delduc, A. Galperin, P. Howe and E. Sokatchev | A twistor formulation of the heterotic D=10 superstring with manifest
(8,0) worldsheet supersymmetry | 29 pages, LATEX file, BONN-HE-92-19, JHU-TIPAC-920018,
ENSLAPP-L-392-92 | Phys.Rev.D47:578-593,1993 | 10.1103/PhysRevD.47.578 | null | hep-th | null | We propose a new formulation of the heterotic $D=10$ Green-Schwarz
superstring whose worldsheet is a superspace with two even and eight odd
coordinates. The action is manifestly invariant under both target-space
supersymmetry and a worldsheet reparametrisation supergroup. It contains only a
finite set of auxiliary fields. The key ingredient are the commuting spinor
(twistor) variables, which naturally arise as worldsheet superpartners of the
target space Grassmann coordinates. These spinors parametrise the sphere $S^8$
regarded as a coset space of the $D=10$ Lorentz group. The sphere is associated
with the lightlike vector of one of the string Virasoro constraints. The origin
of the on-shell $D=10$ fermionic kappa symmetry of the standard Green-Schwarz
formulation is explained. An essential and unusual feature is the appearance of
the string tension only on shell as an integration constant.
| [
{
"created": "Tue, 14 Jul 1992 21:57:00 GMT",
"version": "v1"
}
] | 2011-05-05 | [
[
"Delduc",
"F.",
""
],
[
"Galperin",
"A.",
""
],
[
"Howe",
"P.",
""
],
[
"Sokatchev",
"E.",
""
]
] | We propose a new formulation of the heterotic $D=10$ Green-Schwarz superstring whose worldsheet is a superspace with two even and eight odd coordinates. The action is manifestly invariant under both target-space supersymmetry and a worldsheet reparametrisation supergroup. It contains only a finite set of auxiliary fields. The key ingredient are the commuting spinor (twistor) variables, which naturally arise as worldsheet superpartners of the target space Grassmann coordinates. These spinors parametrise the sphere $S^8$ regarded as a coset space of the $D=10$ Lorentz group. The sphere is associated with the lightlike vector of one of the string Virasoro constraints. The origin of the on-shell $D=10$ fermionic kappa symmetry of the standard Green-Schwarz formulation is explained. An essential and unusual feature is the appearance of the string tension only on shell as an integration constant. |
hep-th/0112055 | Ivo Sachs | Danny Birmingham, Ivo Sachs and Sergey N. Solodukhin | Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes | 4 pages, RevTeX, references added | Phys.Rev.Lett. 88 (2002) 151301 | 10.1103/PhysRevLett.88.151301 | null | hep-th cond-mat.stat-mech gr-qc | null | We obtain exact expressions for the quasi-normal modes of various spin for
the BTZ black hole. These modes determine the relaxation time of black hole
perturbations. Exact agreement is found between the quasi-normal frequencies
and the location of the poles of the retarded correlation function of the
corresponding perturbations in the dual conformal field theory. This then
provides a new quantitative test of the AdS/CFT correspondence.
| [
{
"created": "Fri, 7 Dec 2001 18:33:46 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Feb 2002 11:57:22 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Birmingham",
"Danny",
""
],
[
"Sachs",
"Ivo",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] | We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasi-normal frequencies and the location of the poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory. This then provides a new quantitative test of the AdS/CFT correspondence. |
hep-th/9505036 | Dae-Yup Song | Dae-Yup Song (Sunchon Nat'l Univ) | Phase transition by curvature in three dimensional $O(N)$ sigma model | 13pages, REVTeX, Many typos are corrected | Mod.Phys.Lett. A11 (1996) 1569-1578 | 10.1142/S0217732396001569 | null | hep-th | null | Using the effective potential, the large-$N$ nonlinear $O(N)$ sigma model
with the curvature coupled term is studied on $S^2\times R^1$. We show that,
for the conformally coupled case, the dynamical mass generation of the model in
the strong-coupled regime on $R^3$ takes place for any finite scalar curvature
(or radius of the $S^2$). If the coupling constant is larger than that of the
conformally coupled case, there exist a critical curvature (radius) above
(below) which the dynamical mass generation does not take place even in the
strong-coupled regime. Below the critical curvature, the mass generation occurs
as in the model on $R^3$.
| [
{
"created": "Sat, 6 May 1995 03:10:27 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 1995 08:27:59 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Song",
"Dae-Yup",
"",
"Sunchon Nat'l Univ"
]
] | Using the effective potential, the large-$N$ nonlinear $O(N)$ sigma model with the curvature coupled term is studied on $S^2\times R^1$. We show that, for the conformally coupled case, the dynamical mass generation of the model in the strong-coupled regime on $R^3$ takes place for any finite scalar curvature (or radius of the $S^2$). If the coupling constant is larger than that of the conformally coupled case, there exist a critical curvature (radius) above (below) which the dynamical mass generation does not take place even in the strong-coupled regime. Below the critical curvature, the mass generation occurs as in the model on $R^3$. |
1412.8452 | Tomasz Trze\'sniewski | Michele Arzano, Tomasz Trzesniewski | Spacetime defects and group momentum space | 11 pages, v2 main conclusion revised, presentation improved,
references updated | Adv. High Energy Phys., 4731050 (2017) | 10.1155/2017/4731050 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study massive and massless conical defects in Minkowski and de Sitter
spaces in various spacetime dimensions. The energy-momentum of a defect,
considered as an (extended) relativistic object, is completely characterized by
the holonomy of the connection associated with its spacetime metric. The
possible holonomies are given by Lorentz group elements, which are rotations
and null rotations for massive and massless defects respectively. In
particular, if we fix the direction of propagation of a massless defect in
n+1-dimensional Minkowski space, then its space of holonomies is a maximal
abelian subgroup of the AN(n-1) group, which corresponds to the well known
momentum space associated with the n-dimensional $\kappa$-Minkowski
noncommutative spacetime and $\kappa$-deformed Poincar\'{e} algebra. We also
conjecture that massless defects in n-dimensional de Sitter space can be
analogously characterized by holonomies belonging to the same subgroup. This
shows how group-valued momenta related to four-dimensional deformations of
relativistic symmetries can arise in the description of motion of spacetime
defects.
| [
{
"created": "Mon, 29 Dec 2014 20:38:37 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2017 14:17:32 GMT",
"version": "v2"
}
] | 2017-08-21 | [
[
"Arzano",
"Michele",
""
],
[
"Trzesniewski",
"Tomasz",
""
]
] | We study massive and massless conical defects in Minkowski and de Sitter spaces in various spacetime dimensions. The energy-momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the connection associated with its spacetime metric. The possible holonomies are given by Lorentz group elements, which are rotations and null rotations for massive and massless defects respectively. In particular, if we fix the direction of propagation of a massless defect in n+1-dimensional Minkowski space, then its space of holonomies is a maximal abelian subgroup of the AN(n-1) group, which corresponds to the well known momentum space associated with the n-dimensional $\kappa$-Minkowski noncommutative spacetime and $\kappa$-deformed Poincar\'{e} algebra. We also conjecture that massless defects in n-dimensional de Sitter space can be analogously characterized by holonomies belonging to the same subgroup. This shows how group-valued momenta related to four-dimensional deformations of relativistic symmetries can arise in the description of motion of spacetime defects. |
hep-th/9809175 | Alexander A. Chernitskii | Alexander A. Chernitskii | Light Beams Distortion in Nonlinear Electrodynamics | 5 pages, LaTeX2e, JHEP style, included jhep.cls | JHEP 9811:015,1998 | 10.1088/1126-6708/1998/11/015 | null | hep-th gr-qc | null | We obtain the characteristic equation for the nonlinear Born-Infeld
electrodynamics. This equation has the form of the characteristic equation for
the linear electrodynamics in some effective Riemann space. The effective
metric include the energy-momentum tensor components of electromagnetic field.
We study a distortion of light beams by the action of some distant solitons.
This distortion corresponds to attraction with the solitons and looks like the
gravitational distortion.
| [
{
"created": "Thu, 24 Sep 1998 10:57:18 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 1999 14:06:16 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Chernitskii",
"Alexander A.",
""
]
] | We obtain the characteristic equation for the nonlinear Born-Infeld electrodynamics. This equation has the form of the characteristic equation for the linear electrodynamics in some effective Riemann space. The effective metric include the energy-momentum tensor components of electromagnetic field. We study a distortion of light beams by the action of some distant solitons. This distortion corresponds to attraction with the solitons and looks like the gravitational distortion. |
1501.05397 | Jun Zhang | Jun Zhang, Jose J. Blanco-Pillado, Jaume Garriga and Alexander
Vilenkin | Topological Defects from the Multiverse | 44 pages, 16 figures | null | 10.1088/1475-7516/2015/05/059 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many theories of the early universe predict the existence of a multiverse
where bubbles continuously nucleate giving rise to observers in their interior.
In this paper, we point out that topological defects of several
dimensionalities will also be produced in de Sitter like regions of the
multiverse. In particular, defects could be spontaneously nucleated in our
parent vacuum. We study the evolution of these defects as they collide with and
propagate inside of our bubble. We estimate the present distribution of defects
in the observable part of the universe. The expected number of such nearby
defects turns out to be quite small, even for the highest nucleation rate. We
also study collisions of strings and domain walls with our bubble in our past
light cone. We obtain simulated full-sky maps of the loci of such collisions,
and find their angular size distribution. Similarly to what happens in the case
of bubble collisions, the prospect of detecting any collisions of our bubble
with ambient defects is greatly enhanced in the case where the cosmological
constant of our parent vacuum is much higher than the vacuum energy density
during inflation in our bubble.
| [
{
"created": "Thu, 22 Jan 2015 05:27:09 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Zhang",
"Jun",
""
],
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Garriga",
"Jaume",
""
],
[
"Vilenkin",
"Alexander",
""
]
] | Many theories of the early universe predict the existence of a multiverse where bubbles continuously nucleate giving rise to observers in their interior. In this paper, we point out that topological defects of several dimensionalities will also be produced in de Sitter like regions of the multiverse. In particular, defects could be spontaneously nucleated in our parent vacuum. We study the evolution of these defects as they collide with and propagate inside of our bubble. We estimate the present distribution of defects in the observable part of the universe. The expected number of such nearby defects turns out to be quite small, even for the highest nucleation rate. We also study collisions of strings and domain walls with our bubble in our past light cone. We obtain simulated full-sky maps of the loci of such collisions, and find their angular size distribution. Similarly to what happens in the case of bubble collisions, the prospect of detecting any collisions of our bubble with ambient defects is greatly enhanced in the case where the cosmological constant of our parent vacuum is much higher than the vacuum energy density during inflation in our bubble. |
hep-th/0105245 | Samson Shatashvili | Anton A. Gerasimov and Samson L. Shatashvili | On non-abelian structures in open string field theory | 16 pages, harvmac b mode, references added | JHEP 0106:066,2001 | 10.1088/1126-6708/2001/06/066 | null | hep-th | null | Multi-brane backgrounds are studied in the framework of the background
independent open string field theory. A simple description of the non-abelian
degrees of freedom is given. Algebra of the differential operators acting on
the space of functions on the space-time provides a natural tool for the
discussion of this phenomena.
| [
{
"created": "Wed, 23 May 2001 22:51:11 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2001 23:03:49 GMT",
"version": "v2"
},
{
"created": "Wed, 30 May 2001 02:02:14 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Gerasimov",
"Anton A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | Multi-brane backgrounds are studied in the framework of the background independent open string field theory. A simple description of the non-abelian degrees of freedom is given. Algebra of the differential operators acting on the space of functions on the space-time provides a natural tool for the discussion of this phenomena. |
2307.02466 | Hari Kunduri | Turkuler Durgut and Hari K. Kunduri | Supersymmetric asymptotically locally AdS$_5$ gravitational solitons | v2: typos corrected, minor improvements and clarifications,
references added to agree with published version | Annals of Physics 457 (2023) 169435 | 10.1016/j.aop.2023.169435 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We construct supersymmetric gravitational soliton solutions of
five-dimensional gauged supergravity coupled to arbitrarily many vector
multiplets. The solutions are complete, globally stationary, $1/4$-BPS and are
asymptotically locally AdS$_5$ with conformal boundary $\mathbb{R} \times
L(p,1)$. The construction uses an $SU(2) \times U(1)-$invariant ansatz
originally used by Gutowski and Reall to construct supersymmetric
asymptotically AdS$_5$ black holes. A subset of these solutions have previously
been obtained as supersymmetric limits of a class of local solutions of
$U(1)^3$ gauged supergravity found by Chong-Cvetic-Lu-Pope, and by
Lucietti-Ovchinnikov in their classification of $SU(2)$-invariant solutions of
minimal gauged supergravity.
| [
{
"created": "Wed, 5 Jul 2023 17:39:19 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2023 14:07:41 GMT",
"version": "v2"
}
] | 2023-08-21 | [
[
"Durgut",
"Turkuler",
""
],
[
"Kunduri",
"Hari K.",
""
]
] | We construct supersymmetric gravitational soliton solutions of five-dimensional gauged supergravity coupled to arbitrarily many vector multiplets. The solutions are complete, globally stationary, $1/4$-BPS and are asymptotically locally AdS$_5$ with conformal boundary $\mathbb{R} \times L(p,1)$. The construction uses an $SU(2) \times U(1)-$invariant ansatz originally used by Gutowski and Reall to construct supersymmetric asymptotically AdS$_5$ black holes. A subset of these solutions have previously been obtained as supersymmetric limits of a class of local solutions of $U(1)^3$ gauged supergravity found by Chong-Cvetic-Lu-Pope, and by Lucietti-Ovchinnikov in their classification of $SU(2)$-invariant solutions of minimal gauged supergravity. |
2309.08818 | Anna Biggs | Anna Biggs, Juan Maldacena, and Vladimir Narovlansky | A supersymmetric SYK model with a curious low energy behavior | null | null | null | null | hep-th cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We consider $\mathcal{N}$ = 2, 4 supersymmetric SYK models that have a
peculiar low energy behavior, with the entropy going like $S = S_{0} +
\text{(constant)}T^{a}$, where $a \neq 1$. The large $N$ equations for these
models are a generalization of equations that have been previously studied as
an unjustified truncation of the planar diagrams describing the BFSS matrix
quantum mechanics or other related matrix models. Here we reanalyze these
equations in order to better understand the low energy physics of these models.
We find that the scalar fields develop large expectation values which explore
the low energy valleys in the potential. The low energy physics is dominated by
quadratic fluctuations around these values. These models were previously
conjectured to have a spin glass phase. We did not find any evidence for this
phase by using the usual diagnostics, such as searching for replica symmetry
breaking solutions.
| [
{
"created": "Sat, 16 Sep 2023 00:30:32 GMT",
"version": "v1"
}
] | 2023-09-19 | [
[
"Biggs",
"Anna",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Narovlansky",
"Vladimir",
""
]
] | We consider $\mathcal{N}$ = 2, 4 supersymmetric SYK models that have a peculiar low energy behavior, with the entropy going like $S = S_{0} + \text{(constant)}T^{a}$, where $a \neq 1$. The large $N$ equations for these models are a generalization of equations that have been previously studied as an unjustified truncation of the planar diagrams describing the BFSS matrix quantum mechanics or other related matrix models. Here we reanalyze these equations in order to better understand the low energy physics of these models. We find that the scalar fields develop large expectation values which explore the low energy valleys in the potential. The low energy physics is dominated by quadratic fluctuations around these values. These models were previously conjectured to have a spin glass phase. We did not find any evidence for this phase by using the usual diagnostics, such as searching for replica symmetry breaking solutions. |
hep-th/0007168 | Jianxin Lu | J. X. Lu (U. of Michigan), S. Roy (Saha Institute), H. Singh (Saha
Institute) | SL(2, Z) Duality and 4-Dimensional Noncommutative Theories | 22 pages, latex | Nucl.Phys. B595 (2001) 298-318 | 10.1016/S0550-3213(00)00671-4 | UM-TH-00-16, SINP/TNP/00-20 | hep-th | null | We investigate how the four-dimensional noncommutative open string/Yang-Mills
theory behaves under a general non-perturbative quantum $SL(2,Z)$ symmetry
transformation. We discuss this by considering D3 branes in a constant
background of axion, dilaton, and electric and magnetic fields (including both
$ {\bf E} \perp {\bf B}$ and {\bf E}$||${\bf B} cases) in the respective
decoupling limit. We find that the value of axion, whether rational or
irrational, determines the nature of the resulting theory under $SL(2,Z)$ as
well as its properties such as the coupling constant and the number of
noncommutative directions. In particular, a strongly coupled theory with an
irrational value of axion can never be physically equivalent to a weakly
coupled theory while this is usually true for a theory with a rational value of
axion. A noncommutative Yang-Mills (NCYM) (resulting from D3 branes with pure
magnetic flux) is physically equivalent to a noncommutative open string (NCOS)
but if the value of axion is irrational, we also have noncommutative
space-space directions in addition to the usual noncommutative space-time
directions for NCOS. We also find in general that a NCOS cannot be physically
equivalent to a NCYM but to another NCOS if the value of axion is irrational.
We find another new decoupling limit for possible light-like NCYM whose
$SL(2,Z)$ duality is a light-like ordinary Yang-Mills if the value of the axion
is rational. Various related questions are also discussed.
| [
{
"created": "Thu, 20 Jul 2000 19:21:25 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lu",
"J. X.",
"",
"U. of Michigan"
],
[
"Roy",
"S.",
"",
"Saha Institute"
],
[
"Singh",
"H.",
"",
"Saha\n Institute"
]
] | We investigate how the four-dimensional noncommutative open string/Yang-Mills theory behaves under a general non-perturbative quantum $SL(2,Z)$ symmetry transformation. We discuss this by considering D3 branes in a constant background of axion, dilaton, and electric and magnetic fields (including both $ {\bf E} \perp {\bf B}$ and {\bf E}$||${\bf B} cases) in the respective decoupling limit. We find that the value of axion, whether rational or irrational, determines the nature of the resulting theory under $SL(2,Z)$ as well as its properties such as the coupling constant and the number of noncommutative directions. In particular, a strongly coupled theory with an irrational value of axion can never be physically equivalent to a weakly coupled theory while this is usually true for a theory with a rational value of axion. A noncommutative Yang-Mills (NCYM) (resulting from D3 branes with pure magnetic flux) is physically equivalent to a noncommutative open string (NCOS) but if the value of axion is irrational, we also have noncommutative space-space directions in addition to the usual noncommutative space-time directions for NCOS. We also find in general that a NCOS cannot be physically equivalent to a NCYM but to another NCOS if the value of axion is irrational. We find another new decoupling limit for possible light-like NCYM whose $SL(2,Z)$ duality is a light-like ordinary Yang-Mills if the value of the axion is rational. Various related questions are also discussed. |
2111.06509 | Makoto Ochiai | H. Nakazato and M. Ochiai | Vacuum decay and fermion total reflection by the Klein step | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The so-called Klein tunneling is re-examined within the framework of quantum
field theory, but from a different point of view on the asymptotic states. We
treat it as a one-dimensional scattering process of a fermion incident to a
step potential and introduce asymptotic operators as appropriate $t = \pm
\infty$ limits of the field operator responsible for the process. For the
so-called Klein energy range, two asymptotic vacua naturally emerge which are
defined as states annihilated by the asymptotic annihilation operators. They
are related by a similarity transformation, which entails a vacuum decay and
yields a vacuum decay constant. When a fermion with incident energy in the
Klein region is injected to the step, it is shown to be reflected with
probability one, accompanied by fermion--anti-fermion pairs that are vacuum
decay products.
| [
{
"created": "Fri, 12 Nov 2021 00:29:09 GMT",
"version": "v1"
}
] | 2021-11-15 | [
[
"Nakazato",
"H.",
""
],
[
"Ochiai",
"M.",
""
]
] | The so-called Klein tunneling is re-examined within the framework of quantum field theory, but from a different point of view on the asymptotic states. We treat it as a one-dimensional scattering process of a fermion incident to a step potential and introduce asymptotic operators as appropriate $t = \pm \infty$ limits of the field operator responsible for the process. For the so-called Klein energy range, two asymptotic vacua naturally emerge which are defined as states annihilated by the asymptotic annihilation operators. They are related by a similarity transformation, which entails a vacuum decay and yields a vacuum decay constant. When a fermion with incident energy in the Klein region is injected to the step, it is shown to be reflected with probability one, accompanied by fermion--anti-fermion pairs that are vacuum decay products. |
1106.5708 | Richard Szabo | Lucio Cirio, Giovanni Landi and Richard J. Szabo | Algebraic deformations of toric varieties II. Noncommutative instantons | 62 pages; v2: typos corrected, references updated; Final version to
be published in Advances in Theoretical and Mathematical Physics | null | null | HWM-11-19 , EMPG-11-18 | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our study of the noncommutative algebraic and differential
geometry of a particular class of deformations of toric varieties, focusing on
aspects pertinent to the construction and enumeration of noncommutative
instantons on these varieties. We develop a noncommutative version of twistor
theory, which introduces a new example of a noncommutative four-sphere. We
develop a braided version of the ADHM construction and show that it
parametrizes a certain moduli space of framed torsion free sheaves on a
noncommutative projective plane. We use these constructions to explicitly build
instanton gauge bundles with canonical connections on the noncommutative
four-sphere that satisfy appropriate anti-selfduality equations. We construct
projective moduli spaces for the torsion free sheaves and demonstrate that they
are smooth. We define equivariant partition functions of these moduli spaces,
finding that they coincide with the usual instanton partition functions for
supersymmetric gauge theories on C^2.
| [
{
"created": "Tue, 28 Jun 2011 15:25:01 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Sep 2012 07:46:26 GMT",
"version": "v2"
}
] | 2012-09-19 | [
[
"Cirio",
"Lucio",
""
],
[
"Landi",
"Giovanni",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We continue our study of the noncommutative algebraic and differential geometry of a particular class of deformations of toric varieties, focusing on aspects pertinent to the construction and enumeration of noncommutative instantons on these varieties. We develop a noncommutative version of twistor theory, which introduces a new example of a noncommutative four-sphere. We develop a braided version of the ADHM construction and show that it parametrizes a certain moduli space of framed torsion free sheaves on a noncommutative projective plane. We use these constructions to explicitly build instanton gauge bundles with canonical connections on the noncommutative four-sphere that satisfy appropriate anti-selfduality equations. We construct projective moduli spaces for the torsion free sheaves and demonstrate that they are smooth. We define equivariant partition functions of these moduli spaces, finding that they coincide with the usual instanton partition functions for supersymmetric gauge theories on C^2. |
1612.00247 | Yago Bea Besada | Yago Bea | Holographic duality and applications | 238 pages, 28 figures. PhD Thesis, Universidade de Santiago de
Compostela, Spain (September, 2016). arXiv admin note: substantial text
overlap with arXiv:0906.5183 by other authors | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis we review some results on the generalization of the
gauge/gravity duality to new cases by using T-duality and by including
fundamental matter, finding applications to condensed matter physics. First, we
construct new supersymmetric solutions of type IIA/B and eleven-dimensional
supergravity by using non-abelian T-duality. Second, we construct a type IIA
supergravity solution with D6-brane sources, dual to an unquenched massive
flavored version of the ABJM theory. Third, we study a probe D6-brane with
worldvolume gauge fields in the ABJM background, obtaining the dual description
of a quantum Hall system. Moreover, we consider a system of a probe D6-brane in
the ABJM background and study quantum phase transitions of its dual theory.
| [
{
"created": "Thu, 1 Dec 2016 14:01:37 GMT",
"version": "v1"
}
] | 2017-12-07 | [
[
"Bea",
"Yago",
""
]
] | In this thesis we review some results on the generalization of the gauge/gravity duality to new cases by using T-duality and by including fundamental matter, finding applications to condensed matter physics. First, we construct new supersymmetric solutions of type IIA/B and eleven-dimensional supergravity by using non-abelian T-duality. Second, we construct a type IIA supergravity solution with D6-brane sources, dual to an unquenched massive flavored version of the ABJM theory. Third, we study a probe D6-brane with worldvolume gauge fields in the ABJM background, obtaining the dual description of a quantum Hall system. Moreover, we consider a system of a probe D6-brane in the ABJM background and study quantum phase transitions of its dual theory. |
hep-th/9611219 | A. Mikovic | J. Cruz, A. Mikovic and J. Navarro-Salas | A Quantum Model of Schwarzschild Black Hole Evaporation | 14 pages, Latex, 2 figures | Phys.Lett.B395:184-190,1997 | 10.1016/S0370-2693(97)00060-9 | FTUV-96-79 | hep-th gr-qc | null | We construct a one-loop effective metric describing the evaporation phase of
a Schwarzschild black hole in a spherically symmetric null-dust model. This is
achieved by quantising the Vaidya solution and by chosing a time dependent
quantum state. This state describes a black hole which is initially in thermal
equilibrium and then the equilibrium is switched off, so that the black hole
starts to evaporate, shrinking to a zero radius in a finite proper time. The
naked singularity appears, and the Hawking flux diverges at the end-point.
However, a static metric can be imposed in the future of the end-point.
Although this end-state metric cannot be determined within our construction, we
show that it cannot be a flat metric.
| [
{
"created": "Tue, 26 Nov 1996 14:22:27 GMT",
"version": "v1"
}
] | 2009-01-16 | [
[
"Cruz",
"J.",
""
],
[
"Mikovic",
"A.",
""
],
[
"Navarro-Salas",
"J.",
""
]
] | We construct a one-loop effective metric describing the evaporation phase of a Schwarzschild black hole in a spherically symmetric null-dust model. This is achieved by quantising the Vaidya solution and by chosing a time dependent quantum state. This state describes a black hole which is initially in thermal equilibrium and then the equilibrium is switched off, so that the black hole starts to evaporate, shrinking to a zero radius in a finite proper time. The naked singularity appears, and the Hawking flux diverges at the end-point. However, a static metric can be imposed in the future of the end-point. Although this end-state metric cannot be determined within our construction, we show that it cannot be a flat metric. |
1901.07932 | Yun Zhi Du | Yun-Zhi Du, Hui-Hua Zhao, and Li-Chun Zhang | Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS
Black Hole | 19 pages, 11figures | null | 10.1155/2020/6395747 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The phase transition of the Gauss-Bonnet AdS black hole has the similar
property with the van der Waals thermodynamic system. However, it is determined
by the Gauss-Bonnet coefficient {\alpha}, not only the horizon radius.
Furthermore, the phase transition is not the pure one between a big black hole
and a small black hole. With this issue, we introduce a new order parameter to
investigate the critical phenomenonand to give the microstructure explanation
of the Gauss-Bonnet AdS black hole phase transition. And the critical exponents
are also obtained. At the critical pointof the Gauss-Bonnet AdS black hole, we
reveal the microstructure of the black hole by investigating the thermodynamic
geometry. These results perhaps provide some certain help to deeply explore the
black hole microscopic structure and to build the quantum gravity.
| [
{
"created": "Wed, 23 Jan 2019 14:55:41 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Apr 2019 11:50:29 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Aug 2020 07:31:36 GMT",
"version": "v3"
}
] | 2022-09-13 | [
[
"Du",
"Yun-Zhi",
""
],
[
"Zhao",
"Hui-Hua",
""
],
[
"Zhang",
"Li-Chun",
""
]
] | The phase transition of the Gauss-Bonnet AdS black hole has the similar property with the van der Waals thermodynamic system. However, it is determined by the Gauss-Bonnet coefficient {\alpha}, not only the horizon radius. Furthermore, the phase transition is not the pure one between a big black hole and a small black hole. With this issue, we introduce a new order parameter to investigate the critical phenomenonand to give the microstructure explanation of the Gauss-Bonnet AdS black hole phase transition. And the critical exponents are also obtained. At the critical pointof the Gauss-Bonnet AdS black hole, we reveal the microstructure of the black hole by investigating the thermodynamic geometry. These results perhaps provide some certain help to deeply explore the black hole microscopic structure and to build the quantum gravity. |
1406.0727 | Gabriele Tartaglino-Mazzucchelli | Sergei M. Kuzenko, Joseph Novak, Gabriele Tartaglino-Mazzucchelli | Symmetries of curved superspace in five dimensions | 47 pages; V2: references added, minor modifications, published
version | JHEP 1410 (2014) 175 | 10.1007/JHEP10(2014)175 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a formalism to construct supersymmetric backgrounds within the
superspace formulation for five-dimensional (5D) conformal supergravity given
in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for
5D minimal Poincare and anti-de Sitter supergravity theories realized as the
Weyl multiplet coupled with two compensators. For those superspace backgrounds
which obey the equations of motion for (gauged) supergravity, we naturally
reproduce the supersymmetric solutions constructed a decade ago by Gauntlett et
al. For certain supersymmetric backgrounds with eight supercharges, we
construct a large family of off-shell supersymmetric sigma models such that the
superfield Lagrangian is given in terms of the Kahler potential of a real
analytic Kahler manifold.
| [
{
"created": "Tue, 3 Jun 2014 14:41:04 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 2015 15:39:13 GMT",
"version": "v2"
}
] | 2015-10-08 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Novak",
"Joseph",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] | We develop a formalism to construct supersymmetric backgrounds within the superspace formulation for five-dimensional (5D) conformal supergravity given in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for 5D minimal Poincare and anti-de Sitter supergravity theories realized as the Weyl multiplet coupled with two compensators. For those superspace backgrounds which obey the equations of motion for (gauged) supergravity, we naturally reproduce the supersymmetric solutions constructed a decade ago by Gauntlett et al. For certain supersymmetric backgrounds with eight supercharges, we construct a large family of off-shell supersymmetric sigma models such that the superfield Lagrangian is given in terms of the Kahler potential of a real analytic Kahler manifold. |
hep-th/0101140 | Nevena Ilieva | Nevena Ilieva | Two-dimensional anyons and the temperature dependence of commutator
anomalies | 11 pages, LaTeX | Int.J.Mod.Phys. A16 (2001) 1407-1416 | 10.1142/S0217751X01003469 | Vienna preprint UWThPh-2000-27, ESI preprint ESI-979 | hep-th | null | The temperature dependence of commutator anomalies is discussed on the
explicit example of particular (anyonic) field operators in two dimensions. The
correlation functions obtained show that effects of the non-zero temperature
might manifest themselves not only globally but also locally.
| [
{
"created": "Mon, 22 Jan 2001 12:01:45 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Ilieva",
"Nevena",
""
]
] | The temperature dependence of commutator anomalies is discussed on the explicit example of particular (anyonic) field operators in two dimensions. The correlation functions obtained show that effects of the non-zero temperature might manifest themselves not only globally but also locally. |
1212.0528 | Anastasios Taliotis | Anastasios Taliotis | Extra dimensions, black holes and fireballs at the LHC | 16 pages, 8 figures; v2: references added, minor typos corrected | null | 10.1007/JHEP05(2013)034 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The collision of two gravitationally interacting, ultra-relativistic,
extended sources is being examined. This investigation classifies the
transverse distributions that are collided for fixed collision energy,
according to whether one or two (a small and a large) apparent horizons may or
may not be formed in a flat background in 4 dimensions. The study extends to
the thermodynamical properties of the objects that are created, which exhibit a
universal behavior in their entropy, and, suggests the elimination of the
possibility in observing black holes (BHs) at the LHC in the absence of extra
dimensions. On the other hand, including extra dimensions, and assuming that
the matter is localized (dense) enough in those directions, opens new avenues
in creating BHs at energies of the order of TeV. The investigation is carried
further to $AdS_5$ backgrounds and makes connections with the implications for
the quark-gluon plasma (QGP) formation in heavy ion collisions. In particular,
classes of the geometries found suggest that a BH is formed if and only if the
(central collision) energy is sufficiently large compared to the transverse
scale of the corresponding gauge theory side stress-tensor. This implies that
when the scattering in the gravity description is mapped onto a heavy ion
collision problem yields a result, which is in accordance with the current
intuition and data: QGP is formed only at high enough energies compared to
$\Lambda_{QCD}$, even for central processes. Incorporating weak coupling
physics and in particular the Color Glass Condensate (CGC) model, a
satisfactory fitting with the RHIC and the LHC data for multiplicities may be
established.
| [
{
"created": "Mon, 3 Dec 2012 20:28:38 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Dec 2012 10:58:42 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Taliotis",
"Anastasios",
""
]
] | The collision of two gravitationally interacting, ultra-relativistic, extended sources is being examined. This investigation classifies the transverse distributions that are collided for fixed collision energy, according to whether one or two (a small and a large) apparent horizons may or may not be formed in a flat background in 4 dimensions. The study extends to the thermodynamical properties of the objects that are created, which exhibit a universal behavior in their entropy, and, suggests the elimination of the possibility in observing black holes (BHs) at the LHC in the absence of extra dimensions. On the other hand, including extra dimensions, and assuming that the matter is localized (dense) enough in those directions, opens new avenues in creating BHs at energies of the order of TeV. The investigation is carried further to $AdS_5$ backgrounds and makes connections with the implications for the quark-gluon plasma (QGP) formation in heavy ion collisions. In particular, classes of the geometries found suggest that a BH is formed if and only if the (central collision) energy is sufficiently large compared to the transverse scale of the corresponding gauge theory side stress-tensor. This implies that when the scattering in the gravity description is mapped onto a heavy ion collision problem yields a result, which is in accordance with the current intuition and data: QGP is formed only at high enough energies compared to $\Lambda_{QCD}$, even for central processes. Incorporating weak coupling physics and in particular the Color Glass Condensate (CGC) model, a satisfactory fitting with the RHIC and the LHC data for multiplicities may be established. |
hep-th/0110076 | Y. M. Cho | Y. M. Cho | Electroweak Knot | 4 pages, 1 figure | null | null | null | hep-th hep-ph | null | We demonstrate the existence of stable knot solitons in the standard
electroweak theory whose topological quantum number $\pi_3(S^2)$ is fixed by
the Chern-Simon index of the $Z$ boson. The electroweak knots are made of the
helical magnetic flux tube of $Z$ boson which has a non-trivial dressing of the
Higgs field, which could also be viewed as two quantized flux rings linked
together whose linking number becomes the knot quantum number. We estimate the
mass of the lightest knot to be around $21 TeV$.
| [
{
"created": "Tue, 9 Oct 2001 00:41:35 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2001 04:25:08 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Feb 2002 22:24:45 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Nov 2003 05:49:08 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Cho",
"Y. M.",
""
]
] | We demonstrate the existence of stable knot solitons in the standard electroweak theory whose topological quantum number $\pi_3(S^2)$ is fixed by the Chern-Simon index of the $Z$ boson. The electroweak knots are made of the helical magnetic flux tube of $Z$ boson which has a non-trivial dressing of the Higgs field, which could also be viewed as two quantized flux rings linked together whose linking number becomes the knot quantum number. We estimate the mass of the lightest knot to be around $21 TeV$. |
0804.4575 | Jarah Evslin | Jarah Evslin and Chethan Krishnan | Metastable Black Saturns | 19 pages, 5 eps figures, refs added, clearer discussion of local
equilibrium and Gubser-Mitra, JHEP version | JHEP 0809:003,2008 | 10.1088/1126-6708/2008/09/003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black Saturns have multiple horizons and so offer a testing ground for the
ideas of black hole thermodynamics. In this note, we numerically scan for
phases that are in equilibrium by extremizing total entropy in the
2-dimensional moduli space of stationary, singly rotating black Saturns with
fixed total mass and angular momentum. On top of the known T_H=T_R,
Omega_H=Omega_R configurations, we find phases that do not balance the
temperature and angular velocity of the ring and the hole. But these (and most
of the balanced Saturns) go away when we demand that the system is metastable,
by imposing that the Hessian of the entropy is negative definite. Metastablity
occurs when the dimensionless total angular momentum lies in a narrow window
0.92457<j<0.92463 of the thin ring branch. This is consistent with the expected
range of classical stability of black Saturns and therefore may imply that
thermal stability is tied to classical stability, in analogy with Gubser-Mitra
in the translationally-invariant case. We also comment on the possibility of
constructing plasma configurations that are dual to black Saturns in AdS.
| [
{
"created": "Tue, 29 Apr 2008 10:51:09 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2008 11:46:37 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Oct 2008 12:32:14 GMT",
"version": "v3"
}
] | 2009-12-10 | [
[
"Evslin",
"Jarah",
""
],
[
"Krishnan",
"Chethan",
""
]
] | Black Saturns have multiple horizons and so offer a testing ground for the ideas of black hole thermodynamics. In this note, we numerically scan for phases that are in equilibrium by extremizing total entropy in the 2-dimensional moduli space of stationary, singly rotating black Saturns with fixed total mass and angular momentum. On top of the known T_H=T_R, Omega_H=Omega_R configurations, we find phases that do not balance the temperature and angular velocity of the ring and the hole. But these (and most of the balanced Saturns) go away when we demand that the system is metastable, by imposing that the Hessian of the entropy is negative definite. Metastablity occurs when the dimensionless total angular momentum lies in a narrow window 0.92457<j<0.92463 of the thin ring branch. This is consistent with the expected range of classical stability of black Saturns and therefore may imply that thermal stability is tied to classical stability, in analogy with Gubser-Mitra in the translationally-invariant case. We also comment on the possibility of constructing plasma configurations that are dual to black Saturns in AdS. |
2007.09838 | Sugumi Kanno | Sugumi Kanno, Jiro Soda, Junsei Tokuda | Noise and decoherence induced by gravitons | 25 pages, 7 figures, major revision | Phys. Rev. D 103, 044017 (2021) | 10.1103/PhysRevD.103.044017 | OU-HET-1065, KOBE-COSMO-20-12 | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum noise and decoherence induced by gravitons. We derive a
Langevin equation of geodesic deviation in the presence of gravitons. The
amplitude of noise correlations tells us that large squeezing is necessary to
detect the noise. We also consider the decoherence of spatial superpositions of
two massive particles caused by gravitons in the vacuum state and find that
gravitons could give a relevant contribution to the decoherence. The
decoherence induced by gravitons would offer new vistas to test quantum gravity
in tabletop experiments.
| [
{
"created": "Mon, 20 Jul 2020 02:13:17 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Sep 2020 12:22:47 GMT",
"version": "v2"
}
] | 2021-02-17 | [
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
],
[
"Tokuda",
"Junsei",
""
]
] | We study quantum noise and decoherence induced by gravitons. We derive a Langevin equation of geodesic deviation in the presence of gravitons. The amplitude of noise correlations tells us that large squeezing is necessary to detect the noise. We also consider the decoherence of spatial superpositions of two massive particles caused by gravitons in the vacuum state and find that gravitons could give a relevant contribution to the decoherence. The decoherence induced by gravitons would offer new vistas to test quantum gravity in tabletop experiments. |
1810.00145 | Peter Bantay | Peter Bantay | A Short Guide to Orbifold Deconstruction | null | SIGMA 15 (2019), 027, 10 pages | 10.3842/SIGMA.2019.027 | null | hep-th | http://creativecommons.org/licenses/by-sa/4.0/ | We study the problem of orbifold deconstruction, i.e., the process of
recognizing, using only readily available information, whether a given
conformal model can be realized as an orbifold, and the identification of the
twist group and the original conformal model.
| [
{
"created": "Sat, 29 Sep 2018 04:03:16 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2018 12:28:22 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Dec 2018 09:53:58 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Apr 2019 04:23:30 GMT",
"version": "v4"
}
] | 2019-04-10 | [
[
"Bantay",
"Peter",
""
]
] | We study the problem of orbifold deconstruction, i.e., the process of recognizing, using only readily available information, whether a given conformal model can be realized as an orbifold, and the identification of the twist group and the original conformal model. |
1903.09634 | Elias C. Vagenas | Elias C. Vagenas, Ahmed Farag Ali, Hassan Alshal | Massless Charged Particles, Naked Singularity, and Generalized
Uncertainty Principle in Reissner-Nordstr\"{o}m-de Sitter-like spacetime | v1: 8 pages, 4 figures, RevTex; | Phys.Rev.D 99 (2019) 8, 084013 | 10.1103/PhysRevD.99.084013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the endeavors of Li Xiang and You-Gen Shen on naked
singularities, we investigate the validity of the cosmic censorship conjecture
in the context of generalized uncertainty principle. In particular, upon
considering both linear and quadratic terms of momentum in the uncertainty
principle, we first compute the entropy of a massless charged black hole in de
Sitter spacetime at a given modified temperature. Then, we compute the
corresponding modified cosmological radius and express the black hole electric
charge in terms of this modified cosmological radius and, thus, in terms of the
generalized uncertainty principle parameter. Finally, we examine whether such a
system will end up being a naked singularity or it might be protected by the
cosmic censorship conjecture, and how that might be related to the possible
existence of massless charged particles.
| [
{
"created": "Fri, 22 Mar 2019 17:57:57 GMT",
"version": "v1"
}
] | 2022-08-11 | [
[
"Vagenas",
"Elias C.",
""
],
[
"Ali",
"Ahmed Farag",
""
],
[
"Alshal",
"Hassan",
""
]
] | Motivated by the endeavors of Li Xiang and You-Gen Shen on naked singularities, we investigate the validity of the cosmic censorship conjecture in the context of generalized uncertainty principle. In particular, upon considering both linear and quadratic terms of momentum in the uncertainty principle, we first compute the entropy of a massless charged black hole in de Sitter spacetime at a given modified temperature. Then, we compute the corresponding modified cosmological radius and express the black hole electric charge in terms of this modified cosmological radius and, thus, in terms of the generalized uncertainty principle parameter. Finally, we examine whether such a system will end up being a naked singularity or it might be protected by the cosmic censorship conjecture, and how that might be related to the possible existence of massless charged particles. |
hep-th/9601004 | Gary Horowitz | Gary T. Horowitz, Tsukasa Tada | An Extreme Black Hole with Electric Dipole Moment | 12 pages, RevTeX, 2up style PostScript file available at
http://pentexts.itp.ucsb.edu/PS/HT.ps (reference added) | Phys.Rev.D54:1564-1567,1996 | 10.1103/PhysRevD.54.1564 | UCSBTH-95-39, NSF-ITP-95-164 | hep-th gr-qc | null | We construct a new extreme black hole solution in toroidally compactified
heterotic string theory. The black hole saturates the Bogomol'nyi bound, has
zero angular momentum, but nonzero electric dipole moment. It is obtained by
starting with a higher dimensional rotating charged black hole, and
compactifying one direction in the plane of rotation.
| [
{
"created": "Wed, 3 Jan 1996 00:57:21 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 1996 21:42:00 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Horowitz",
"Gary T.",
""
],
[
"Tada",
"Tsukasa",
""
]
] | We construct a new extreme black hole solution in toroidally compactified heterotic string theory. The black hole saturates the Bogomol'nyi bound, has zero angular momentum, but nonzero electric dipole moment. It is obtained by starting with a higher dimensional rotating charged black hole, and compactifying one direction in the plane of rotation. |
hep-th/9602086 | null | Hisamitsu Mukaida, Yujiro Shimada | Convex effective potential of $O(N)$-symmetric $phi^4$ theory for large
$N$ | New results on finite-size system are added. LaTeX, 21 pages, 6
figures | Nucl.Phys. B479 (1996) 663-682 | 10.1016/0550-3213(96)00403-8 | INS-Rep.-1133, UT-Komaba~96-1 | hep-th | null | We obtain effective potential of $O(N)$-symmetric $\phi^4$ theory for large
$N$ starting with a finite lattice system and taking the thermodynamic limit
with great care. In the thermodynamic limit, it is globally real-valued and
convex in both the symmetric and the broken phases. In particular, it has a
flat bottom in the broken phase. Taking the continuum limit, we discuss
renormalization effects to the flat bottom and exhibit the effective potential
of the continuum theory in three and four dimensions.On the other hand the
effective potential is nonconvex in a finite lattice system. Our numerical
study shows that the barrier height of the effective potential flattens as a
linear size of the system becomes large. It decreases obeying power law and the
exponent is about $-2$. The result is clearly understood from dominance of
configurations with slowly-rotating field in one direction.
| [
{
"created": "Fri, 16 Feb 1996 04:30:36 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 1996 06:00:53 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jul 1996 13:02:08 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Mukaida",
"Hisamitsu",
""
],
[
"Shimada",
"Yujiro",
""
]
] | We obtain effective potential of $O(N)$-symmetric $\phi^4$ theory for large $N$ starting with a finite lattice system and taking the thermodynamic limit with great care. In the thermodynamic limit, it is globally real-valued and convex in both the symmetric and the broken phases. In particular, it has a flat bottom in the broken phase. Taking the continuum limit, we discuss renormalization effects to the flat bottom and exhibit the effective potential of the continuum theory in three and four dimensions.On the other hand the effective potential is nonconvex in a finite lattice system. Our numerical study shows that the barrier height of the effective potential flattens as a linear size of the system becomes large. It decreases obeying power law and the exponent is about $-2$. The result is clearly understood from dominance of configurations with slowly-rotating field in one direction. |
1011.6469 | Sean A. Hartnoll | Sean A. Hartnoll and Pavel Petrov | Electron star birth: A continuous phase transition at nonzero density | 1+13 pages. 5 figures | Phys.Rev.Lett.106:121601,2011 | 10.1103/PhysRevLett.106.121601 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that charged black holes in Anti-de Sitter spacetime can undergo a
third order phase transition at a critical temperature in the presence of
charged fermions. In the low temperature phase, a fraction of the charge is
carried by a fermion fluid located a finite distance from the black hole. In
the zero temperature limit the black hole is no longer present and all charge
is sourced by the fermions. The solutions exhibit the low temperature entropy
density scaling s~T^{2/z} anticipated from the emergent IR criticality of
recently discussed electron stars.
| [
{
"created": "Tue, 30 Nov 2010 06:41:28 GMT",
"version": "v1"
}
] | 2011-04-05 | [
[
"Hartnoll",
"Sean A.",
""
],
[
"Petrov",
"Pavel",
""
]
] | We show that charged black holes in Anti-de Sitter spacetime can undergo a third order phase transition at a critical temperature in the presence of charged fermions. In the low temperature phase, a fraction of the charge is carried by a fermion fluid located a finite distance from the black hole. In the zero temperature limit the black hole is no longer present and all charge is sourced by the fermions. The solutions exhibit the low temperature entropy density scaling s~T^{2/z} anticipated from the emergent IR criticality of recently discussed electron stars. |
hep-th/9810213 | Sunil Mukhi | Sunil Mukhi (Harvard and Tata Institute) | Dualities and the SL(2,Z) Anomaly | harvmac, 13 pages (b); minor changes, a footnote and a reference
added | JHEP 9812:006,1998 | 10.1088/1126-6708/1998/12/006 | HUTP-98/A075, TIFR/TH/98-41 | hep-th | null | The SL(2,Z) anomaly recently derived for type IIB supergravity in 10
dimensions is shown to be a consequence of T-duality with the type IIA string,
after compactification to 2 dimensions on an 8-fold. This explains the identity
of the gravitational 8-forms appearing in different contexts in the effective
actions of type IIA and IIB string theories. In this framework, constraints on
the compactification manifold arise from modular invariance of the 2d theory.
Related issues in 6 dimensions are examined, and it is argued that similar
anomalies are present on the worldvolumes of M-theory 5-branes and orientifold
5-planes.
| [
{
"created": "Mon, 26 Oct 1998 16:58:23 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 1998 06:56:40 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Mukhi",
"Sunil",
"",
"Harvard and Tata Institute"
]
] | The SL(2,Z) anomaly recently derived for type IIB supergravity in 10 dimensions is shown to be a consequence of T-duality with the type IIA string, after compactification to 2 dimensions on an 8-fold. This explains the identity of the gravitational 8-forms appearing in different contexts in the effective actions of type IIA and IIB string theories. In this framework, constraints on the compactification manifold arise from modular invariance of the 2d theory. Related issues in 6 dimensions are examined, and it is argued that similar anomalies are present on the worldvolumes of M-theory 5-branes and orientifold 5-planes. |
hep-th/0506201 | Alvaro Nunez | Alvaro Nunez, Slava Solganik | Vacua Landscape Attractor | 10 pages, 3 figures | null | null | null | hep-th | null | The recent progress in the understanding of the landscape of string theory
vacua hints that the hierarchy problem might be the problem of a
super-selection rule. The attractor mechanism gives a possibility to explain
the choice of a vacuum. We consider a toy model of self-interacting membranes
and show that for a very generic interaction there are attractor solutions.
| [
{
"created": "Thu, 23 Jun 2005 20:09:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nunez",
"Alvaro",
""
],
[
"Solganik",
"Slava",
""
]
] | The recent progress in the understanding of the landscape of string theory vacua hints that the hierarchy problem might be the problem of a super-selection rule. The attractor mechanism gives a possibility to explain the choice of a vacuum. We consider a toy model of self-interacting membranes and show that for a very generic interaction there are attractor solutions. |
1311.1643 | Noburo Shiba | Noburo Shiba and Tadashi Takayanagi | Volume Law for the Entanglement Entropy in Non-local QFTs | 18 pages, 3 figures; v2, added references | JHEP 02 (2014) 033 | 10.1007/JHEP02(2014)033 | YITP-13-115, IPMU13-0215 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present a simple class of non-local field theories whose
ground state entanglement entropy follows a volume law as long as the size of
subsystem is smaller than a certain scale. We will confirm this volume law both
from numerical calculations and from analytical estimation. This behavior fits
nicely with holographic results for spacetimes whose curvatures are much
smaller than AdS spaces such as those in the flat spacetime.
| [
{
"created": "Thu, 7 Nov 2013 11:28:37 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2013 07:31:12 GMT",
"version": "v2"
}
] | 2014-04-18 | [
[
"Shiba",
"Noburo",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | In this paper, we present a simple class of non-local field theories whose ground state entanglement entropy follows a volume law as long as the size of subsystem is smaller than a certain scale. We will confirm this volume law both from numerical calculations and from analytical estimation. This behavior fits nicely with holographic results for spacetimes whose curvatures are much smaller than AdS spaces such as those in the flat spacetime. |
1805.00993 | Can Koz\c{c}az | Can Koz\c{c}az, Shamil Shakirov, Cumrun Vafa, Wenbin Yan | Refined Topological Branes | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the open refined topological string amplitudes using the refined
topological vertex. We determine the refinement of holonomies necessary to
describe the boundary conditions of open amplitudes (which in particular
satisfy the required integrality properties). We also derive the refined
holonomies using the refined Chern-Simons theory.
| [
{
"created": "Wed, 2 May 2018 19:37:24 GMT",
"version": "v1"
}
] | 2018-05-04 | [
[
"Kozçaz",
"Can",
""
],
[
"Shakirov",
"Shamil",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Yan",
"Wenbin",
""
]
] | We study the open refined topological string amplitudes using the refined topological vertex. We determine the refinement of holonomies necessary to describe the boundary conditions of open amplitudes (which in particular satisfy the required integrality properties). We also derive the refined holonomies using the refined Chern-Simons theory. |
0710.0783 | Christoph Schweigert | Christoph Schweigert and Efrossini Tsouchnika | Kramers-Wannier dualities for WZW theories and minimal models | 20 pages, v2: typos corrected | null | null | Hamburger Beitraege zur Mathematik Nr. 276, ZMP-HH/07-8 | hep-th | null | We study Kramers-Wannier dualities for Wess-Zumino-Witten theories and
(super-)minimal models in the Cardy case, i.e. the case with bulk partition
function given by charge conjugation. Using the TFT approach to full rational
conformal field theories, we classify those dualities that preserve all chiral
symmetries. Dualities turn out to exist for small levels only.
| [
{
"created": "Wed, 3 Oct 2007 13:05:38 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2007 12:52:18 GMT",
"version": "v2"
}
] | 2007-12-05 | [
[
"Schweigert",
"Christoph",
""
],
[
"Tsouchnika",
"Efrossini",
""
]
] | We study Kramers-Wannier dualities for Wess-Zumino-Witten theories and (super-)minimal models in the Cardy case, i.e. the case with bulk partition function given by charge conjugation. Using the TFT approach to full rational conformal field theories, we classify those dualities that preserve all chiral symmetries. Dualities turn out to exist for small levels only. |
hep-th/0602180 | LuXin Liu | Lu-Xin Liu | Nonlinear Realization and Weyl Scale Invariant p=2 Brane | 20 pages | Phys.Rev.D74:045030,2006 | 10.1103/PhysRevD.74.045030 | null | hep-th | null | The action of Weyl scale invariant p=2 brane which breaks the target super
Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional
Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The
dual form action for the Weyl scale invariant supersymmetric D2 brane is also
constructed. The interactions of localized matter fields on the brane with the
Nambu-Goldstone fields associated with the breaking of the symmetries in the
superspace and one spatial translation directions are obtained through the
Cartan one-forms of the Coset structures. The covariant derivatives for the
localized matter fields are also obtained by introducing Weyl gauge field as
the compensating field corresponding to the local scale transformation on the
brane world volume.
| [
{
"created": "Sat, 18 Feb 2006 09:10:10 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Aug 2006 01:11:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Liu",
"Lu-Xin",
""
]
] | The action of Weyl scale invariant p=2 brane which breaks the target super Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The dual form action for the Weyl scale invariant supersymmetric D2 brane is also constructed. The interactions of localized matter fields on the brane with the Nambu-Goldstone fields associated with the breaking of the symmetries in the superspace and one spatial translation directions are obtained through the Cartan one-forms of the Coset structures. The covariant derivatives for the localized matter fields are also obtained by introducing Weyl gauge field as the compensating field corresponding to the local scale transformation on the brane world volume. |
hep-th/9505171 | Quevedo | C.P. Burgess, J.-P. Derendinger, F. Quevedo, M. Quiros | ON GAUGINO CONDENSATION WITH FIELD-DEPENDENT GAUGE COUPLINGS | 54 pages, plain tex | Annals Phys. 250 (1996) 193-233 | 10.1006/aphy.1996.0092 | CERN-TH/95-111, IEM-FT-105/95, McGill-95/05,NEIP-95-04 | hep-th hep-ph | null | We study in detail gaugino condensation in globally and locally
supersymmetric Yang-Mills theories. We focus on models for which gauge-neutral
matter couples to the gauge bosons only through nonminimal gauge kinetic terms,
for the cases of one and several condensing gauge groups. Using only symmetry
arguments, the low-energy expansion, and general properties of supersymmetry,
we compute the low energy Wilson action, as well as the (2PI) effective action
for the composite {\it classical} superfield $U\equiv\langle \Tr\WW \rangle$,
with $W_\alpha$ the supersymmetric gauge field strength. The 2PI effective
action provides a firmer foundation for the approach of Veneziano and
Yankielowicz, who treated the composite superfield, $U$, as a quantum degree of
freedom. We show how to rederive the Wilson action by minimizing the 2PI action
with respect to $U$. We determine, in both formulations and for global and
local supersymmetry, the effective superpotential, $W$, the non-perturbative
contributions to the low-energy K\"ahler potential $K$, and the leading higher
supercovariant derivative terms in an expansion in inverse powers of the
condensation scale. As an application of our results we include the string
moduli dependence of the super- and K\"ahler potentials for simple orbifold
models.
| [
{
"created": "Sun, 28 May 1995 12:41:21 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Burgess",
"C. P.",
""
],
[
"Derendinger",
"J. -P.",
""
],
[
"Quevedo",
"F.",
""
],
[
"Quiros",
"M.",
""
]
] | We study in detail gaugino condensation in globally and locally supersymmetric Yang-Mills theories. We focus on models for which gauge-neutral matter couples to the gauge bosons only through nonminimal gauge kinetic terms, for the cases of one and several condensing gauge groups. Using only symmetry arguments, the low-energy expansion, and general properties of supersymmetry, we compute the low energy Wilson action, as well as the (2PI) effective action for the composite {\it classical} superfield $U\equiv\langle \Tr\WW \rangle$, with $W_\alpha$ the supersymmetric gauge field strength. The 2PI effective action provides a firmer foundation for the approach of Veneziano and Yankielowicz, who treated the composite superfield, $U$, as a quantum degree of freedom. We show how to rederive the Wilson action by minimizing the 2PI action with respect to $U$. We determine, in both formulations and for global and local supersymmetry, the effective superpotential, $W$, the non-perturbative contributions to the low-energy K\"ahler potential $K$, and the leading higher supercovariant derivative terms in an expansion in inverse powers of the condensation scale. As an application of our results we include the string moduli dependence of the super- and K\"ahler potentials for simple orbifold models. |
hep-th/9209116 | Renata Kallosh | Renata Kallosh and Amanda Peet | Dilaton Black Holes Near the Horizon | 10 pages, SU-ITP-92-27 | Phys.Rev.D46:5223-5227,1992 | 10.1103/PhysRevD.46.R5223 | null | hep-th | null | Generic $U(1)^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown
to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling
of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black
holes, which have unbroken $N=2$ supersymmetry, behave near the horizon as a
2-d linear dilaton vacuum $\otimes \, S^2$. This geometry is invariant under 8
supersymmetries, i.e. half of the original $N=4$ supersymmetries are unbroken.
The supersymmetric positivity bound, which requires the mass of the 4-d dilaton
black holes to be greater than or equal to the central charge, corresponds to
positivity of mass for a class of stringy 2-d black holes.
| [
{
"created": "Tue, 29 Sep 1992 02:21:56 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 1992 23:36:58 GMT",
"version": "v2"
}
] | 2010-01-06 | [
[
"Kallosh",
"Renata",
""
],
[
"Peet",
"Amanda",
""
]
] | Generic $U(1)^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black holes, which have unbroken $N=2$ supersymmetry, behave near the horizon as a 2-d linear dilaton vacuum $\otimes \, S^2$. This geometry is invariant under 8 supersymmetries, i.e. half of the original $N=4$ supersymmetries are unbroken. The supersymmetric positivity bound, which requires the mass of the 4-d dilaton black holes to be greater than or equal to the central charge, corresponds to positivity of mass for a class of stringy 2-d black holes. |
hep-th/0111062 | Ivanov Evgeny | I.L. Buchbinder, E.A. Ivanov | Complete N=4 Structure of Low-Energy Effective Action in N=4 Super
Yang-Mills Theories | 14 pages, Latex, no figures, slight corrections, refs added | Phys.Lett. B524 (2002) 208-216 | 10.1016/S0370-2693(01)01388-0 | null | hep-th | null | Using the ${\cal N}=2$ superfield approach, we construct full ${\cal N}=4$
supersymmetric low-energy effective actions for ${\cal N}=4$ SYM models, with
both ${\cal N}=2$ gauge superfield strengths and hypermultiplet superfields
included. The basic idea is to complete the known non-holomorphic effective
potentials which depend only on ${\cal N}=2$ superfield strengths $W$ and
${\bar W}$ to the full on-shell ${\cal N}=4$ invariants by adding the
appropriate superfield hypermultiplet terms. We prove that the effective
potentials of the form ${ln} W {ln} \bar W$ can be ${\cal N} = 4$ completed in
this way and present the precise structure of the corresponding completions.
However, the effective potentials of the non-logarithmic form suggested in
hep-th/9811017 and hep-th/9909020 do not admit the ${\cal N}=4$ completion.
Therefore, such potentials cannot come out as (perturbative or
non-perturbative) quantum corrections in ${\cal N}=4$ SYM models.
| [
{
"created": "Wed, 7 Nov 2001 16:19:38 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Nov 2001 14:43:35 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
]
] | Using the ${\cal N}=2$ superfield approach, we construct full ${\cal N}=4$ supersymmetric low-energy effective actions for ${\cal N}=4$ SYM models, with both ${\cal N}=2$ gauge superfield strengths and hypermultiplet superfields included. The basic idea is to complete the known non-holomorphic effective potentials which depend only on ${\cal N}=2$ superfield strengths $W$ and ${\bar W}$ to the full on-shell ${\cal N}=4$ invariants by adding the appropriate superfield hypermultiplet terms. We prove that the effective potentials of the form ${ln} W {ln} \bar W$ can be ${\cal N} = 4$ completed in this way and present the precise structure of the corresponding completions. However, the effective potentials of the non-logarithmic form suggested in hep-th/9811017 and hep-th/9909020 do not admit the ${\cal N}=4$ completion. Therefore, such potentials cannot come out as (perturbative or non-perturbative) quantum corrections in ${\cal N}=4$ SYM models. |
hep-th/9304095 | Denjoe O'Connor | Denjoe O'Connor and C. R. Stephens | Geometry the Renormalization Group and Gravity | 16 pages of LaTex, DIAS-STP-92-36 | null | null | null | hep-th | null | We discuss the relationship between geometry, the renormalization group (RG)
and gravity. We begin by reviewing our recent work on crossover problems in
field theory. By crossover we mean the interpolation between different
representations of the conformal group by the action of relevant operators. At
the level of the RG this crossover is manifest in the flow between different
fixed points induced by these operators. The description of such flows requires
a RG which is capable of interpolating between qualitatively different degrees
of freedom. Using the conceptual notion of course graining we construct some
simple examples of such a group introducing the concept of a ``floating'' fixed
point around which one constructs a perturbation theory. Our consideration of
crossovers indicates that one should consider classes of field theories,
described by a set of parameters, rather than focus on a particular one. The
space of parameters has a natural metric structure. We examine the geometry of
this space in some simple models and draw some analogies between this space,
superspace and minisuperspace.
| [
{
"created": "Wed, 21 Apr 1993 17:49:18 GMT",
"version": "v1"
}
] | 2023-02-06 | [
[
"O'Connor",
"Denjoe",
""
],
[
"Stephens",
"C. R.",
""
]
] | We discuss the relationship between geometry, the renormalization group (RG) and gravity. We begin by reviewing our recent work on crossover problems in field theory. By crossover we mean the interpolation between different representations of the conformal group by the action of relevant operators. At the level of the RG this crossover is manifest in the flow between different fixed points induced by these operators. The description of such flows requires a RG which is capable of interpolating between qualitatively different degrees of freedom. Using the conceptual notion of course graining we construct some simple examples of such a group introducing the concept of a ``floating'' fixed point around which one constructs a perturbation theory. Our consideration of crossovers indicates that one should consider classes of field theories, described by a set of parameters, rather than focus on a particular one. The space of parameters has a natural metric structure. We examine the geometry of this space in some simple models and draw some analogies between this space, superspace and minisuperspace. |
hep-th/0403217 | Bruno Carneiro da Cunha | Bruno Carneiro da Cunha | Tachyon Effective Dynamics and de Sitter Vacua | 28 pages, 1 eps figure. Uses graphicx, setspace. v2:corrected typos,
added references, clarified discussion on backreaction | Phys.Rev. D70 (2004) 066002 | 10.1103/PhysRevD.70.066002 | null | hep-th gr-qc | null | We show that the DBI action for the singlet sector of the tachyon in
two-dimensional string theory has a SL(2,R) symmetry, a real-time counterpart
of the ground ring. The action can be rewritten as that of point particles
moving in a de Sitter space, whose coordinates are given by the value of the
eigenvalue and time. The symmetry then manifests as the isometry group of de
Sitter space in two dimensions. We use this fact to write the collective field
theory for a large number of branes, which has a natural interpretation as a
fermion field in this de Sitter space. After spending some time building
geometrical insight on facts about the condensation process, the state
corresponding to a sD-brane is identified and standard results in quantum field
theory in curved space-time are used to compute the backreaction of the thermal
background.
| [
{
"created": "Mon, 22 Mar 2004 16:45:04 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Mar 2004 15:32:02 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"da Cunha",
"Bruno Carneiro",
""
]
] | We show that the DBI action for the singlet sector of the tachyon in two-dimensional string theory has a SL(2,R) symmetry, a real-time counterpart of the ground ring. The action can be rewritten as that of point particles moving in a de Sitter space, whose coordinates are given by the value of the eigenvalue and time. The symmetry then manifests as the isometry group of de Sitter space in two dimensions. We use this fact to write the collective field theory for a large number of branes, which has a natural interpretation as a fermion field in this de Sitter space. After spending some time building geometrical insight on facts about the condensation process, the state corresponding to a sD-brane is identified and standard results in quantum field theory in curved space-time are used to compute the backreaction of the thermal background. |
hep-th/0603060 | Christopher T. Hill | Christopher T. Hill | Exact Equivalence of the D=4 Gauged Wess-Zumino-Witten Term and the D=5
Yang-Mills Chern-Simons Term | 25 pages, 1 figure; minor errors fixed | Phys.Rev.D73:126009,2006 | 10.1103/PhysRevD.73.126009 | FERMILAB-PUB-06-046-T | hep-th | null | We derive the full Wess-Zumino-Witten term of a gauged chiral lagrangian in
D=4 by starting from a pure Yang-Mills theory of gauged quark flavor in a flat,
compactified D=5. The theory is compactified such that there exists a B_5 zero
mode, and supplemented with quarks that are ``chirally delocalized'' with q_L
(q_R) on the left (right) boundary (brane). The theory then necessarily
contains a Chern-Simons term (anomaly flux) to cancel the fermionic anomalies
on the boundaries. The constituent quark mass represents chiral symmetry
breaking and is a bilocal operator in D=5 of the form: \bar{q}_LWq_R+h.c, where
W is the Wilson line spanning the bulk, 0\leq x^5 \leq R and is interpreted as
a chiral meson field, W=\exp(2i\tilde{\pi}/f_\pi), where f_\pi \sim 1/R. The
quarks are integrated out, yielding a Dirac determinant which takes the form of
a ``boundary term'' (anomaly flux return), and is equivalent to Bardeen's
counterterm that connects consistent and covariant anomalies. The
Wess-Zumino-Witten term then emerges straightforwardly, from the Yang-Mills
Chern-Simons term, plus boundary term. The method is systematic and allows
generalization of the Wess-Zumino-Witten term to theories of extra dimensions,
and to express it in alternative and more compact forms. We give a novel form
appropriate to the case of (unintegrated) massless fermions.
| [
{
"created": "Wed, 8 Mar 2006 20:49:34 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2006 16:32:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hill",
"Christopher T.",
""
]
] | We derive the full Wess-Zumino-Witten term of a gauged chiral lagrangian in D=4 by starting from a pure Yang-Mills theory of gauged quark flavor in a flat, compactified D=5. The theory is compactified such that there exists a B_5 zero mode, and supplemented with quarks that are ``chirally delocalized'' with q_L (q_R) on the left (right) boundary (brane). The theory then necessarily contains a Chern-Simons term (anomaly flux) to cancel the fermionic anomalies on the boundaries. The constituent quark mass represents chiral symmetry breaking and is a bilocal operator in D=5 of the form: \bar{q}_LWq_R+h.c, where W is the Wilson line spanning the bulk, 0\leq x^5 \leq R and is interpreted as a chiral meson field, W=\exp(2i\tilde{\pi}/f_\pi), where f_\pi \sim 1/R. The quarks are integrated out, yielding a Dirac determinant which takes the form of a ``boundary term'' (anomaly flux return), and is equivalent to Bardeen's counterterm that connects consistent and covariant anomalies. The Wess-Zumino-Witten term then emerges straightforwardly, from the Yang-Mills Chern-Simons term, plus boundary term. The method is systematic and allows generalization of the Wess-Zumino-Witten term to theories of extra dimensions, and to express it in alternative and more compact forms. We give a novel form appropriate to the case of (unintegrated) massless fermions. |
1007.2653 | Yanwen Shang | Ling-Yan Hung, Yanwen Shang | On 1-loop diagrams in AdS space and the random disorder problem | 22 pages, 3 figures, Boundary conditions clarified, some typos fixed,
presentations improved and references added | Phys.Rev.D83:024029,2011 | 10.1103/PhysRevD.83.024029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the complex scalar loop corrections to the boundary-boundary gauge
two point function in pure AdS space in Poincare coordinates, in the presence
of a boundary quadratic perturbation to the scalar. These perturbations
correspond to double trace perturbations in the dual CFT and modify the
boundary conditions of the bulk scalars in AdS. We find that, in addition to
the usual UV divergences, the 1-loop calculation suffers from a divergence
originating in the limit as the loop vertices approach the AdS horizon. We show
that this type of divergence is independent of the boundary coupling, and
making use of which we extract the finite relative variation of the imaginary
part of the loop via Cutkosky rules as the boundary perturbation varies.
Applying our methods to compute the effects of a time-dependent impurity to the
conductivities using the replica trick in AdS/CFT, we find that generally an
IR-relevant disorder reduces the conductivity and that in the extreme low
frequency limit the correction due to the impurities overwhelms the planar CFT
result even though it is supposedly $1/N^2$ suppressed. Comments on the effect
of time-independent impurity in such a system are presented.
| [
{
"created": "Thu, 15 Jul 2010 20:49:36 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 2010 17:44:42 GMT",
"version": "v2"
}
] | 2011-02-25 | [
[
"Hung",
"Ling-Yan",
""
],
[
"Shang",
"Yanwen",
""
]
] | We study the complex scalar loop corrections to the boundary-boundary gauge two point function in pure AdS space in Poincare coordinates, in the presence of a boundary quadratic perturbation to the scalar. These perturbations correspond to double trace perturbations in the dual CFT and modify the boundary conditions of the bulk scalars in AdS. We find that, in addition to the usual UV divergences, the 1-loop calculation suffers from a divergence originating in the limit as the loop vertices approach the AdS horizon. We show that this type of divergence is independent of the boundary coupling, and making use of which we extract the finite relative variation of the imaginary part of the loop via Cutkosky rules as the boundary perturbation varies. Applying our methods to compute the effects of a time-dependent impurity to the conductivities using the replica trick in AdS/CFT, we find that generally an IR-relevant disorder reduces the conductivity and that in the extreme low frequency limit the correction due to the impurities overwhelms the planar CFT result even though it is supposedly $1/N^2$ suppressed. Comments on the effect of time-independent impurity in such a system are presented. |
hep-th/9412152 | null | Hitoshi Nishino | ``Alternative $N=(4,0)$ Superstring and $\s$-Models'' | 13 pages, latex, no figures | Phys. Lett. B355 (1995) 117 | 10.1016/0370-2693(95)00743-5 | UMDEPP 95-66, HUPAPP 94-104 | hep-th | null | We present an alternative $N=(4,0)$ superstring theory, with field content
different from that of previously-known $N=(4,0)$ superstring theories. This
theory is presented as a non-linear $\s$-model on the coset $SU(n,1) / SU(n)
\otimes U(1)$ as the target space-time with torsion, which is coupled to
$N=(4,0)$ world-sheet superconformal gravity. Our result indicates that the
target space-time for $N=4$ superstring theory does not necessarily have to be
a hyper-K\"ahler or quaternionic K\"ahler manifold.
| [
{
"created": "Sat, 17 Dec 1994 00:24:38 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 1994 16:49:28 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Nishino",
"Hitoshi",
""
]
] | We present an alternative $N=(4,0)$ superstring theory, with field content different from that of previously-known $N=(4,0)$ superstring theories. This theory is presented as a non-linear $\s$-model on the coset $SU(n,1) / SU(n) \otimes U(1)$ as the target space-time with torsion, which is coupled to $N=(4,0)$ world-sheet superconformal gravity. Our result indicates that the target space-time for $N=4$ superstring theory does not necessarily have to be a hyper-K\"ahler or quaternionic K\"ahler manifold. |
1610.04144 | Kevin Costello | Kevin Costello | M-theory in the Omega-background and 5-dimensional non-commutative gauge
theory | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\Omega$-background is defined for supergravity, and a very general class
of such backgrounds is constructed for 11-dimensional supergravity.
11-dimensional supergravity in a certain $\Omega$-background is shown to be
equivalent to a 5-dimensional non-commutative gauge theory of Chern-Simons
type. M2 and M5 branes are expressed as 1 and 2-dimensional extended objects in
the 5-dimensional gauge theory. This 5-dimensional gauge theory is shown to
admit a consistent quantization with two coupling constants, despite being
formally non-renormalizable.
A check of a twisted version of AdS/CFT is performed relating this
5-dimensional non-commutative gauge theory to the theory on N M5 branes,
wrapping an $A_{k-1}$ singularity and placed in an $\Omega$-background. The
operators on the M5 branes, in the $\Omega$-background, are described by a
certain chiral algebra which in the large N limit becomes a $W_{k+\infty}$
algebra. This chiral algebra is recovered from the 5-dimensional gauge theory.
This argument also provides a holographic explanation of the result of
Maulik-Okounkov and Schiffmann-Vasserot that the $W_{k+\infty}$ algebra acts on
the equivariant cohomology of the moduli of instantons on an $A_{k-1}$
singularity.
| [
{
"created": "Thu, 13 Oct 2016 15:53:31 GMT",
"version": "v1"
}
] | 2016-10-14 | [
[
"Costello",
"Kevin",
""
]
] | The $\Omega$-background is defined for supergravity, and a very general class of such backgrounds is constructed for 11-dimensional supergravity. 11-dimensional supergravity in a certain $\Omega$-background is shown to be equivalent to a 5-dimensional non-commutative gauge theory of Chern-Simons type. M2 and M5 branes are expressed as 1 and 2-dimensional extended objects in the 5-dimensional gauge theory. This 5-dimensional gauge theory is shown to admit a consistent quantization with two coupling constants, despite being formally non-renormalizable. A check of a twisted version of AdS/CFT is performed relating this 5-dimensional non-commutative gauge theory to the theory on N M5 branes, wrapping an $A_{k-1}$ singularity and placed in an $\Omega$-background. The operators on the M5 branes, in the $\Omega$-background, are described by a certain chiral algebra which in the large N limit becomes a $W_{k+\infty}$ algebra. This chiral algebra is recovered from the 5-dimensional gauge theory. This argument also provides a holographic explanation of the result of Maulik-Okounkov and Schiffmann-Vasserot that the $W_{k+\infty}$ algebra acts on the equivariant cohomology of the moduli of instantons on an $A_{k-1}$ singularity. |
hep-th/9510169 | Joe Polchinski | Joseph Polchinski and Edward Witten | Evidence for Heterotic - Type I String Duality | harvmac, 21 pages | Nucl.Phys.B460:525-540,1996 | 10.1016/0550-3213(95)00614-1 | IASSNS-HEP-95-81, NSF-ITP-95-135 | hep-th | null | A study is made of the implications of heterotic string $T$-duality and
extended gauge symmetry for the conjectured equivalence of heterotic and Type I
superstrings. While at first sight heterotic string world-sheet dynamics
appears to conflict with Type I perturbation theory, a closer look shows that
Type I perturbation theory ``miraculously'' breaks down, in some cases via
novel mechanisms, whenever the heterotic string has massless particles not
present in Type I perturbation theory. This strongly suggests that the two
theories actually are equivalent. As further evidence in the same direction, we
show that the Dirichlet one-brane of type I string theory has the same
world-sheet structure as the heterotic string.
| [
{
"created": "Mon, 23 Oct 1995 20:47:10 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Polchinski",
"Joseph",
""
],
[
"Witten",
"Edward",
""
]
] | A study is made of the implications of heterotic string $T$-duality and extended gauge symmetry for the conjectured equivalence of heterotic and Type I superstrings. While at first sight heterotic string world-sheet dynamics appears to conflict with Type I perturbation theory, a closer look shows that Type I perturbation theory ``miraculously'' breaks down, in some cases via novel mechanisms, whenever the heterotic string has massless particles not present in Type I perturbation theory. This strongly suggests that the two theories actually are equivalent. As further evidence in the same direction, we show that the Dirichlet one-brane of type I string theory has the same world-sheet structure as the heterotic string. |
1406.3249 | Fabiano M. Andrade | Fabiano M. Andrade and Edilberto O. Silva | Remarks on the Dirac oscillator in $(2+1)$ dimensions | 5 pages, 2 figures, minor corrections, published version | Europhysics Letters 108, 30003 (2014) | 10.1209/0295-5075/108/30003 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work the Dirac oscillator in $(2+1)$ dimensions is considered. We
solve the problem in polar coordinates and discuss the dependence of the energy
spectrum on the spin parameter $s$ and angular momentum quantum number $m$.
Contrary to earlier attempts, we show that the degeneracy of the energy
spectrum can occur for all possible values of $sm$. In an additional analysis,
we also show that an isolated bound state solution, excluded from
Sturm-Liouville problem, exists.
| [
{
"created": "Thu, 12 Jun 2014 14:17:45 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2014 23:19:42 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Nov 2014 16:58:48 GMT",
"version": "v3"
}
] | 2014-11-06 | [
[
"Andrade",
"Fabiano M.",
""
],
[
"Silva",
"Edilberto O.",
""
]
] | In this work the Dirac oscillator in $(2+1)$ dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin parameter $s$ and angular momentum quantum number $m$. Contrary to earlier attempts, we show that the degeneracy of the energy spectrum can occur for all possible values of $sm$. In an additional analysis, we also show that an isolated bound state solution, excluded from Sturm-Liouville problem, exists. |
hep-th/9708061 | Markus Leibundgut | M. Leibundgut and P. Minkowski | On the Spontaneous Identity of Chiral and Super Symmetry Breaking in
Pure Super Yang Mills Theories | 14 pages, uses amsmath, amssymb, shorter version, references added,
eq. (44) corrected | Nucl.Phys. B531 (1998) 95-107 | 10.1016/S0550-3213(98)00439-8 | BUTP-97/22 | hep-th | null | We show that in supersymmetric pure Yang Mills theories with arbitrary simple
gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by
the associated gaugino and gauge boson condensates implies the spontaneous
breaking of supersymmetry by the condensate of the underlying Lagrangian
density. The explicit breaking of the restricted fermionic charge through the
chiral anomaly is deferred to a secondary stage in the elimination of infrared
singularities or long range forces.
| [
{
"created": "Mon, 11 Aug 1997 15:52:14 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 1998 06:01:58 GMT",
"version": "v2"
},
{
"created": "Tue, 19 May 1998 13:03:02 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Leibundgut",
"M.",
""
],
[
"Minkowski",
"P.",
""
]
] | We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson condensates implies the spontaneous breaking of supersymmetry by the condensate of the underlying Lagrangian density. The explicit breaking of the restricted fermionic charge through the chiral anomaly is deferred to a secondary stage in the elimination of infrared singularities or long range forces. |
hep-th/9508152 | Evgenyi Ivanov | Evgenyi A. Ivanov | Off-shell (4,4) supersymmetric sigma models with torsion in harmonic
superspace | 18 pages, LaTeX, Talk given at the Seminar ``Quantum Gravity'', June
12-19, 1995 Moscow | null | null | null | hep-th | null | We present a manifestly supersymmetric off-shell formulation of a wide class
of $(4,4)$ $2D$ sigma models with torsion and both commuting and non-commuting
left and right complex structures in the harmonic superspace with a double set
of $SU(2)$ harmonic variables. The distinguishing features of the relevant
superfield action are: (i) in general nonabelian and nonlinear gauge invariance
ensuring a correct number of physical degrees of freedom; (ii) an infinite
tower of auxiliary fields. This action is derived from the most general one by
imposing the integrability condition which follows from the commutativity of
the left and right analyticity-preserving harmonic derivatives. For a
particular class of such models we explicitly demonstrate the non-commutativity
of complex structures on the bosonic target.
| [
{
"created": "Tue, 29 Aug 1995 00:17:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ivanov",
"Evgenyi A.",
""
]
] | We present a manifestly supersymmetric off-shell formulation of a wide class of $(4,4)$ $2D$ sigma models with torsion and both commuting and non-commuting left and right complex structures in the harmonic superspace with a double set of $SU(2)$ harmonic variables. The distinguishing features of the relevant superfield action are: (i) in general nonabelian and nonlinear gauge invariance ensuring a correct number of physical degrees of freedom; (ii) an infinite tower of auxiliary fields. This action is derived from the most general one by imposing the integrability condition which follows from the commutativity of the left and right analyticity-preserving harmonic derivatives. For a particular class of such models we explicitly demonstrate the non-commutativity of complex structures on the bosonic target. |
0910.5167 | Roberto Percacci | R. Percacci | Gravity from a Particle Physicists' perspective | Lectures given at the Fifth International School on Field Theory and
Gravitation, Cuiaba, Brazil April 20-24 2009. To appear in PoS | PoS ISFTG2009:011,2009 | null | pi-partphys-156 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lectures I review the status of gravity from the point of view of
the gauge principle and renormalization, the main tools in the toolbox of
theoretical particle physics. In the first lecture I start from the old
question "in what sense is gravity a gauge theory?" I will reformulate the
theory of gravity in a general kinematical setting which highlights the
presence of two Goldstone boson-like fields, and the occurrence of a
gravitational Higgs phenomenon. The fact that in General Relativity the
connection is a derived quantity appears to be a low energy consequence of this
Higgs phenomenon. From here it is simple to see how to embed the group of local
frame transformations and a Yang Mills group into a larger unifying group, and
how the distinction between these groups, and the corresponding interactions,
derives from the VEV of an order parameter. I will describe in some detail the
fermionic sector of a realistic "GraviGUT" with SO(3,1)xSO(10) \subset
SO(3,11). In the second lecture I will discuss the possibility that the
renormalization group flow of gravity has a fixed point with a finite number of
attractive directions. This would make the theory well behaved in the
ultraviolet, and predictive, in spite of being perturbatively
nonrenormalizable. There is by now a significant amount of evidence that this
may be the case. There are thus reasons to believe that quantum field theory
may eventually prove sufficient to explain the mysteries of gravity.
| [
{
"created": "Tue, 27 Oct 2009 16:35:13 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Percacci",
"R.",
""
]
] | In these lectures I review the status of gravity from the point of view of the gauge principle and renormalization, the main tools in the toolbox of theoretical particle physics. In the first lecture I start from the old question "in what sense is gravity a gauge theory?" I will reformulate the theory of gravity in a general kinematical setting which highlights the presence of two Goldstone boson-like fields, and the occurrence of a gravitational Higgs phenomenon. The fact that in General Relativity the connection is a derived quantity appears to be a low energy consequence of this Higgs phenomenon. From here it is simple to see how to embed the group of local frame transformations and a Yang Mills group into a larger unifying group, and how the distinction between these groups, and the corresponding interactions, derives from the VEV of an order parameter. I will describe in some detail the fermionic sector of a realistic "GraviGUT" with SO(3,1)xSO(10) \subset SO(3,11). In the second lecture I will discuss the possibility that the renormalization group flow of gravity has a fixed point with a finite number of attractive directions. This would make the theory well behaved in the ultraviolet, and predictive, in spite of being perturbatively nonrenormalizable. There is by now a significant amount of evidence that this may be the case. There are thus reasons to believe that quantum field theory may eventually prove sufficient to explain the mysteries of gravity. |
hep-th/0309102 | Atsushi Yamaguchi | A. Yamaguchi | Conformal boundary states in SU(2)_1/G | 12 pages, PTPTeX, V2: changed title, much improved presentation,
published version | Prog.Theor.Phys. 112 (2004) 119-130 | 10.1143/PTP.112.119 | UTHEP-471, TH-974 | hep-th | null | We construct boundary states in a particular c=1 conformal field theory, the
SU(2)_1/G orbifold with G a binary finite subgroup of SU(2). These states
preserve the conformal symmetry, at least, but break rational symmetries of the
SU(2)_1/G orbifold in general.
| [
{
"created": "Wed, 10 Sep 2003 18:12:12 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2004 08:00:02 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Yamaguchi",
"A.",
""
]
] | We construct boundary states in a particular c=1 conformal field theory, the SU(2)_1/G orbifold with G a binary finite subgroup of SU(2). These states preserve the conformal symmetry, at least, but break rational symmetries of the SU(2)_1/G orbifold in general. |
1612.06854 | Humberto Gomez | Humberto Gomez, Sebastian Mizera, and Guojun Zhang | CHY Loop Integrands from Holomorphic Forms | 30+12 pages, notation modified and references added | null | 10.1007/JHEP03(2017)092 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, the Cachazo-He-Yuan (CHY) approach for calculating scattering
amplitudes has been extended beyond tree level. In this paper, we introduce a
way of constructing CHY integrands for $\Phi^3$ theory up to two loops from
holomorphic forms on Riemann surfaces. We give simple rules for translating
Feynman diagrams into the corresponding CHY integrands. As a complementary
result, we extend the $\Lambda$-algorithm, originally introduced in
arXiv:1604.05373, to two loops. Using this approach, we are able to
analytically verify our prescription for the CHY integrands up to seven
external particles at two loops. In addition, it gives a natural way of
extending to higher-loop orders.
| [
{
"created": "Tue, 20 Dec 2016 20:59:55 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2017 17:43:44 GMT",
"version": "v2"
}
] | 2017-04-05 | [
[
"Gomez",
"Humberto",
""
],
[
"Mizera",
"Sebastian",
""
],
[
"Zhang",
"Guojun",
""
]
] | Recently, the Cachazo-He-Yuan (CHY) approach for calculating scattering amplitudes has been extended beyond tree level. In this paper, we introduce a way of constructing CHY integrands for $\Phi^3$ theory up to two loops from holomorphic forms on Riemann surfaces. We give simple rules for translating Feynman diagrams into the corresponding CHY integrands. As a complementary result, we extend the $\Lambda$-algorithm, originally introduced in arXiv:1604.05373, to two loops. Using this approach, we are able to analytically verify our prescription for the CHY integrands up to seven external particles at two loops. In addition, it gives a natural way of extending to higher-loop orders. |
1010.1210 | Andrea Brini | Andrea Brini, Marcos Marino, Sebastien Stevan | The uses of the refined matrix model recursion | 29 pages, 2 figures; v2: minor changes, references added; v3: few
misprints fixed, to appear on JMP; v4: we correct a mistake in Eq. (2.60)
(now (2.63)) | null | 10.1063/1.3587063 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study matrix models in the beta ensemble by building on the refined
recursion relation proposed by Chekhov and Eynard. We present explicit results
for the first beta-deformed corrections in the one-cut and the two-cut cases,
as well as two applications to supersymmetric gauge theories: the calculation
of superpotentials in N=1 gauge theories, and the calculation of vevs of
surface operators in superconformal N=2 theories and their Liouville duals.
Finally, we study the beta deformation of the Chern-Simons matrix model. Our
results indicate that this model does not provide an appropriate description of
the Omega-deformed topological string on the resolved conifold, and therefore
that the beta-deformation might provide a different generalization of
topological string theory in toric Calabi-Yau backgrounds.
| [
{
"created": "Wed, 6 Oct 2010 17:27:31 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Oct 2010 09:58:08 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jun 2011 08:14:49 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Jun 2014 09:27:47 GMT",
"version": "v4"
}
] | 2014-06-12 | [
[
"Brini",
"Andrea",
""
],
[
"Marino",
"Marcos",
""
],
[
"Stevan",
"Sebastien",
""
]
] | We study matrix models in the beta ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first beta-deformed corrections in the one-cut and the two-cut cases, as well as two applications to supersymmetric gauge theories: the calculation of superpotentials in N=1 gauge theories, and the calculation of vevs of surface operators in superconformal N=2 theories and their Liouville duals. Finally, we study the beta deformation of the Chern-Simons matrix model. Our results indicate that this model does not provide an appropriate description of the Omega-deformed topological string on the resolved conifold, and therefore that the beta-deformation might provide a different generalization of topological string theory in toric Calabi-Yau backgrounds. |
1507.06999 | Timo Weigand | Luca Martucci and Timo Weigand | Hidden Selection Rules, M5-instantons and Fluxes in F-theory | 42 pages; v2: references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new approach to investigate the selection rules governing the
contributions of fluxed M5-instantons to the F-theory four-dimensional
effective action, with emphasis on the generation of charged matter F-terms.
The structure of such couplings is unraveled by exploiting the perturbative and
non-perturbative homological relations, introduced in our companion paper
arXiv:1506.06764, which encode the interplay between the self-dual 3-form flux
on the M5-brane, the background 4-form flux and certain fibral curves. The
latter are wrapped by time-like M2-branes representing matter insertions in the
instanton path integral. In particular, we clarify how fluxed M5-instantons
detect the presence of geometrically massive $U(1)$s which are responsible for
`hidden' selection rules. We discuss how for non-generic embeddings the
M5-instanton can probe `locally massless' $U(1)$ symmetries if the rank of its
Mordell-Weil group is enhanced compared to that of the bulk. As a
phenomenological off-spring we propose a new type of non-perturbative
corrections to Yukawa couplings which may change the rank of the Yukawa matrix.
Along the way, we also gain new insights into the structure of massive $U(1)$
gauge fluxes in the stable degeneration limit.
| [
{
"created": "Fri, 24 Jul 2015 20:00:39 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Oct 2015 14:07:34 GMT",
"version": "v2"
}
] | 2015-10-20 | [
[
"Martucci",
"Luca",
""
],
[
"Weigand",
"Timo",
""
]
] | We introduce a new approach to investigate the selection rules governing the contributions of fluxed M5-instantons to the F-theory four-dimensional effective action, with emphasis on the generation of charged matter F-terms. The structure of such couplings is unraveled by exploiting the perturbative and non-perturbative homological relations, introduced in our companion paper arXiv:1506.06764, which encode the interplay between the self-dual 3-form flux on the M5-brane, the background 4-form flux and certain fibral curves. The latter are wrapped by time-like M2-branes representing matter insertions in the instanton path integral. In particular, we clarify how fluxed M5-instantons detect the presence of geometrically massive $U(1)$s which are responsible for `hidden' selection rules. We discuss how for non-generic embeddings the M5-instanton can probe `locally massless' $U(1)$ symmetries if the rank of its Mordell-Weil group is enhanced compared to that of the bulk. As a phenomenological off-spring we propose a new type of non-perturbative corrections to Yukawa couplings which may change the rank of the Yukawa matrix. Along the way, we also gain new insights into the structure of massive $U(1)$ gauge fluxes in the stable degeneration limit. |
2308.14797 | Markus B. Fr\"ob | Markus B. Fr\"ob | Modular Hamiltonian for de Sitter diamonds | 58 pages, 10 figures. Matches published version | JHEP 12 (2023) 074 | 10.1007/JHEP12(2023)074 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the Tomita-Takesaki modular data for CFTs in double cone and
light cone regions in conformally flat spacetimes. This includes in particular
the modular Hamiltonian for diamonds in the de Sitter spacetime. In the limit
where the diamonds become large, we show that the modular automorphisms become
time translations in the static patch. As preparation, we also provide a
pedagogical rederivation of the known results for Minkowski spacetime. With our
results and using the Araki formula, it becomes possible to compute relative
entanglement entropies for CFTs in these regions.
| [
{
"created": "Mon, 28 Aug 2023 18:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2023 13:20:08 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Dec 2023 14:29:14 GMT",
"version": "v3"
}
] | 2023-12-18 | [
[
"Fröb",
"Markus B.",
""
]
] | We determine the Tomita-Takesaki modular data for CFTs in double cone and light cone regions in conformally flat spacetimes. This includes in particular the modular Hamiltonian for diamonds in the de Sitter spacetime. In the limit where the diamonds become large, we show that the modular automorphisms become time translations in the static patch. As preparation, we also provide a pedagogical rederivation of the known results for Minkowski spacetime. With our results and using the Araki formula, it becomes possible to compute relative entanglement entropies for CFTs in these regions. |
2312.14960 | Jan M. Mandrysch | Jan Mandrysch | Numerical results on Quantum Energy Inequalities in Integrable Models at
the Two-Particle level | 12 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this article, we introduce a novel numerical method for determining
optimal Quantum Energy Inequality (QEI) bounds in one- and two-particle states,
extending previous work focused on the one-particle case. Our method,
applicable to integrable models constructed via the inverse scattering
approach, overcomes challenges associated with the numerical treatment of
kinematical singularities and the increased complexity in the two-particle
scenario.
Applying the method to the sinh-Gordon model provides explicit insights into
optimal QEI bounds. Notably, QEIs persist at the two-particle level, though,
allowing for significantly more negative energy to be sustained over longer
times compared with the one-particle case. Our findings confirm
self-interaction as the source of negative energy, with stronger interactions
yielding more pronounced negativities. Importantly, evidence supports the
finite sustainability of negative energies over time, implying the validity of
the averaged weak energy condition (AWEC) at both one- and two-particle levels.
Last but not least, we identify a one-parameter class of nonminimal stress
tensor expressions satisfying QEIs at both levels, with more stringent
constraints arising from the QEI bounds at two-particle level.
| [
{
"created": "Wed, 13 Dec 2023 18:15:35 GMT",
"version": "v1"
}
] | 2023-12-27 | [
[
"Mandrysch",
"Jan",
""
]
] | In this article, we introduce a novel numerical method for determining optimal Quantum Energy Inequality (QEI) bounds in one- and two-particle states, extending previous work focused on the one-particle case. Our method, applicable to integrable models constructed via the inverse scattering approach, overcomes challenges associated with the numerical treatment of kinematical singularities and the increased complexity in the two-particle scenario. Applying the method to the sinh-Gordon model provides explicit insights into optimal QEI bounds. Notably, QEIs persist at the two-particle level, though, allowing for significantly more negative energy to be sustained over longer times compared with the one-particle case. Our findings confirm self-interaction as the source of negative energy, with stronger interactions yielding more pronounced negativities. Importantly, evidence supports the finite sustainability of negative energies over time, implying the validity of the averaged weak energy condition (AWEC) at both one- and two-particle levels. Last but not least, we identify a one-parameter class of nonminimal stress tensor expressions satisfying QEIs at both levels, with more stringent constraints arising from the QEI bounds at two-particle level. |
1912.07606 | Cameron V. Cogburn | Richard C. Brower, Cameron V. Cogburn, A. Liam Fitzpatrick, Dean
Howarth, Chung-I Tan | Lattice Setup for Quantum Field Theory in AdS$_2$ | 36 pages, 12 figures | Phys. Rev. D 103, 094507 (2021) | 10.1103/PhysRevD.103.094507 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holographic Conformal Field Theories (CFTs) are usually studied in a limit
where the gravity description is weakly coupled. By contrast, lattice quantum
field theory can be used as a tool for doing computations in a wider class of
holographic CFTs where gravity remains weak but nongravitational interactions
{\it in AdS} become strong. We take preliminary steps for studying such
theories on the lattice by constructing the discretized theory of a scalar
field in AdS$_2$ and investigating its approach to the continuum limit in the
free and perturbative regimes. Our main focus is on finite sub-lattices of
maximally symmetric tilings of hyperbolic space. Up to boundary effects, these
tilings preserve the triangle group as a large discrete subgroup of AdS$_2$,
but have a minimum lattice spacing that is comparable to the radius of
curvature of the underlying spacetime. We quantify the effects of the lattice
spacing as well as the boundary effects, and find that they can be accurately
modeled by modifications within the framework of the continuum limit
description. We also show how to do refinements of the lattice that shrink the
lattice spacing at the cost of breaking the triangle group symmetry of the
maximally symmetric tilings.
| [
{
"created": "Mon, 16 Dec 2019 19:00:00 GMT",
"version": "v1"
}
] | 2021-05-19 | [
[
"Brower",
"Richard C.",
""
],
[
"Cogburn",
"Cameron V.",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Howarth",
"Dean",
""
],
[
"Tan",
"Chung-I",
""
]
] | Holographic Conformal Field Theories (CFTs) are usually studied in a limit where the gravity description is weakly coupled. By contrast, lattice quantum field theory can be used as a tool for doing computations in a wider class of holographic CFTs where gravity remains weak but nongravitational interactions {\it in AdS} become strong. We take preliminary steps for studying such theories on the lattice by constructing the discretized theory of a scalar field in AdS$_2$ and investigating its approach to the continuum limit in the free and perturbative regimes. Our main focus is on finite sub-lattices of maximally symmetric tilings of hyperbolic space. Up to boundary effects, these tilings preserve the triangle group as a large discrete subgroup of AdS$_2$, but have a minimum lattice spacing that is comparable to the radius of curvature of the underlying spacetime. We quantify the effects of the lattice spacing as well as the boundary effects, and find that they can be accurately modeled by modifications within the framework of the continuum limit description. We also show how to do refinements of the lattice that shrink the lattice spacing at the cost of breaking the triangle group symmetry of the maximally symmetric tilings. |
hep-th/0301249 | Alexandre Leite Gadelha | M. C. B. Abdalla, A. L. Gadelha, I. V. Vancea | TFD Approach to Bosonic Strings and $D_{P}$-branes | 6 pages, revtex, typos are corrected. Prepared for the Second
Londrina Winter School-Mathematical Methods in Physics, August 25-30, 2002,
Londrina-Pr, Brazil. To appear in a special issue of IJMPA | Int.J.Mod.Phys. A18 (2003) 2109-2118 | 10.1142/S0217751X03015556 | IFT-P.005/2003 | hep-th | null | In this work we explain the construction of the thermal vacuum for the
bosonic string, as well that of the thermal boundary state interpreted as a
$D_{p}$-brane at finite temperature. In both case we calculate the respective
entropy using the entropy operator of the Thermo Field Dynamics Theory. We show
that the contribution of the thermal string entropy is explicitly present in
the $D_{p}$-brane entropy. Furthermore, we show that the Thermo Field approach
is suitable to introduce temperature in boundary states.
| [
{
"created": "Thu, 30 Jan 2003 17:10:59 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2003 13:10:42 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Abdalla",
"M. C. B.",
""
],
[
"Gadelha",
"A. L.",
""
],
[
"Vancea",
"I. V.",
""
]
] | In this work we explain the construction of the thermal vacuum for the bosonic string, as well that of the thermal boundary state interpreted as a $D_{p}$-brane at finite temperature. In both case we calculate the respective entropy using the entropy operator of the Thermo Field Dynamics Theory. We show that the contribution of the thermal string entropy is explicitly present in the $D_{p}$-brane entropy. Furthermore, we show that the Thermo Field approach is suitable to introduce temperature in boundary states. |
hep-th/9902055 | Boris Pioline | I. Antoniadis and B. Pioline (Ecole Polytechnique) | Low-Scale Closed Strings and their Duals | 27 pages, latex2e, eepic, introducing scalepic.sty; v2: remark added
on triality below (19), one ref. added, final version to appear in Nucl.
Phys. B | Nucl.Phys.B550:41-58,1999 | 10.1016/S0550-3213(99)00151-0 | CPHT-S708-0299 | hep-th hep-ph | null | We study large dimensions and low string scale in four-dimensional
compactifications of type II theories of closed strings at weak coupling. We
find that the fundamental string scale, together with all compact dimensions,
can be at the TeV, while the smallness of the string coupling accounts for the
weakness of gravitational interactions. This is in contrast to the situation
recently studied in type I theories, where the string scale can be lowered only
at the expense of introducing large transverse dimensions felt by gravity only.
As a result, in these type II strings, there are no strong gravity effects at
the TeV, and the main experimental signature is the production of Kaluza-Klein
excitations with gauge interactions. In the context of type IIB theories, we
find a new possibility providing a first instance of large non-transverse
dimensions at weak coupling: two of the internal dimensions seen by gauge
interactions can be at the TeV, with the string scale and all other dimensions
at intermediate energies of the order of $10^{11}$ GeV, where gravity becomes
also strong. Finally, using duality, we provide a perturbative description for
the generic case of large dimensions in the heterotic string. In particular, we
show that the two type II theories above describe the cases of one and two
heterotic large dimensions. A new M-theory derivation of heterotic-type II
duality is instrumental for this discussion.
| [
{
"created": "Mon, 8 Feb 1999 11:16:48 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 1999 19:37:07 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Antoniadis",
"I.",
"",
"Ecole Polytechnique"
],
[
"Pioline",
"B.",
"",
"Ecole Polytechnique"
]
] | We study large dimensions and low string scale in four-dimensional compactifications of type II theories of closed strings at weak coupling. We find that the fundamental string scale, together with all compact dimensions, can be at the TeV, while the smallness of the string coupling accounts for the weakness of gravitational interactions. This is in contrast to the situation recently studied in type I theories, where the string scale can be lowered only at the expense of introducing large transverse dimensions felt by gravity only. As a result, in these type II strings, there are no strong gravity effects at the TeV, and the main experimental signature is the production of Kaluza-Klein excitations with gauge interactions. In the context of type IIB theories, we find a new possibility providing a first instance of large non-transverse dimensions at weak coupling: two of the internal dimensions seen by gauge interactions can be at the TeV, with the string scale and all other dimensions at intermediate energies of the order of $10^{11}$ GeV, where gravity becomes also strong. Finally, using duality, we provide a perturbative description for the generic case of large dimensions in the heterotic string. In particular, we show that the two type II theories above describe the cases of one and two heterotic large dimensions. A new M-theory derivation of heterotic-type II duality is instrumental for this discussion. |
1907.00599 | Kuo-Wei Huang | Kuo-Wei Huang | Stress-Tensor Commutator in CFT near the Lightcone | 5 pp. V2: minor corrections, reference added | Phys. Rev. D 100, 061701 (2019) | 10.1103/PhysRevD.100.061701 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with the general stress-tensor commutation relations consistent with
the Poincar\'e algebra in local quantum field theory, we impose the
tracelessness condition and focus on the dominating contributions in the
lightcone limit. It is shown that, under a certain assumption on the Schwinger
term, a Virasoro-algebra-like structure emerges near the lightcone in $d>2$
conformal field theories.
| [
{
"created": "Mon, 1 Jul 2019 08:17:21 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Sep 2019 00:43:35 GMT",
"version": "v2"
}
] | 2019-09-25 | [
[
"Huang",
"Kuo-Wei",
""
]
] | Starting with the general stress-tensor commutation relations consistent with the Poincar\'e algebra in local quantum field theory, we impose the tracelessness condition and focus on the dominating contributions in the lightcone limit. It is shown that, under a certain assumption on the Schwinger term, a Virasoro-algebra-like structure emerges near the lightcone in $d>2$ conformal field theories. |
hep-th/0507285 | Marcus Berg | Marcus Berg, Michael Haack and Wolfgang Muck | Bulk Dynamics in Confining Gauge Theories | 60 pages, 4 figures, v2: corrected typos, added references, v3: added
references | Nucl.Phys.B736:82-132,2006 | 10.1016/j.nuclphysb.2005.11.029 | NSF-KITP-2005-54, NA-DSF-32-2005, ROM2F/2005/16 | hep-th | null | We consider gauge/string duality (in the supergravity approximation) for
confining gauge theories. The system under scrutiny is a 5-dimensional
consistent truncation of type IIB supergravity obtained using the
Papadopoulos-Tseytlin ansatz with boundary momentum added. We develop a
gauge-invariant and sigma-model-covariant approach to the dynamics of
5-dimensional bulk fluctuations. For the Maldacena-Nunez subsystem, we study
glueball mass spectra. For the Klebanov-Strassler subsystem, we compute the
linearized equations of motion for the 7-scalar system, and show that a
3-scalar sector containing the scalar dual to the gluino bilinear decouples in
the UV. We solve the fluctuation equations exactly in the "moderate UV"
approximation and check this approximation numerically. Our results demonstrate
the feasibility of analyzing the generally coupled equations for scalar bulk
fluctuations, and constitute a step on the way towards computing correlators in
confining gauge theories.
| [
{
"created": "Thu, 28 Jul 2005 19:58:39 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2005 19:19:29 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2007 11:29:58 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Berg",
"Marcus",
""
],
[
"Haack",
"Michael",
""
],
[
"Muck",
"Wolfgang",
""
]
] | We consider gauge/string duality (in the supergravity approximation) for confining gauge theories. The system under scrutiny is a 5-dimensional consistent truncation of type IIB supergravity obtained using the Papadopoulos-Tseytlin ansatz with boundary momentum added. We develop a gauge-invariant and sigma-model-covariant approach to the dynamics of 5-dimensional bulk fluctuations. For the Maldacena-Nunez subsystem, we study glueball mass spectra. For the Klebanov-Strassler subsystem, we compute the linearized equations of motion for the 7-scalar system, and show that a 3-scalar sector containing the scalar dual to the gluino bilinear decouples in the UV. We solve the fluctuation equations exactly in the "moderate UV" approximation and check this approximation numerically. Our results demonstrate the feasibility of analyzing the generally coupled equations for scalar bulk fluctuations, and constitute a step on the way towards computing correlators in confining gauge theories. |
1505.03690 | Sung Ching Sam Wong | S.-H. Henry Tye and Sam S.C. Wong | Bloch Wave Function for the Periodic Sphaleron Potential and
Unsuppressed Baryon and Lepton Number Violating Processes | 35 pages, 9 figures; explanation improved, appendix added, references
added | Phys. Rev. D 92, 045005 (2015) | 10.1103/PhysRevD.92.045005 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the periodic sphaleron potential in the electroweak theory, we find the
one-dimensional time-independent Schr\"{o}dinger equation with the Chern-Simons
number as the coordinate, construct the Bloch wave function and determine the
corresponding conducting (pass) band structure. We show that the baryon-lepton
number violating processes can take place without the exponential tunneling
suppression (at zero temperature) at energies around and above the barrier
height (sphaleron energy) at 9.0 TeV. Phenomenologically, probable detection of
such processes at LHC is discussed.
| [
{
"created": "Thu, 14 May 2015 11:34:26 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2015 12:54:32 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Aug 2015 17:17:46 GMT",
"version": "v3"
}
] | 2015-08-11 | [
[
"Tye",
"S. -H. Henry",
""
],
[
"Wong",
"Sam S. C.",
""
]
] | For the periodic sphaleron potential in the electroweak theory, we find the one-dimensional time-independent Schr\"{o}dinger equation with the Chern-Simons number as the coordinate, construct the Bloch wave function and determine the corresponding conducting (pass) band structure. We show that the baryon-lepton number violating processes can take place without the exponential tunneling suppression (at zero temperature) at energies around and above the barrier height (sphaleron energy) at 9.0 TeV. Phenomenologically, probable detection of such processes at LHC is discussed. |
2104.07716 | Leonardo Pati\~no | Uriel Elinos, Leonardo Patino | Fundamental Landau Levels in a Strongly Coupled Plasma | This version includes the calculation of the quasinormal modes of the
dual scalar excitations, and presents the behavior of their energy as
evidence that the evolution of such modes describes dissociating Landau
levels. The study of the width of the modes was also added, showing that
inverse magnetic catalysis and magnetic catalysis occur for different ranges
of the magnetic field | null | 10.1103/PhysRevD.105.126016 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the gauge/gravity correspondence to show that in its context there
appear Landau levels when studying the excitations of the fundamental degrees
of freedom of a strongly coupled plasma subject to a magnetic field of
arbitrary intensity. We work in the phase where mesons are melted by embedding
a D7-brane in the 10D uplift that we construct for the 5D background associated
to a magnetic brane. By studying the dependence of the lowest quasinormal
frequency on both, the intensity of the magnetic field and the Landau level, we
corroborate that the energy behaves as expected for dissociating Landau levels.
The reconstruction of the impact of the magnetic field on the stability of the
quasinormal modes allows us to identify inverse magnetic catalysis for
intensities of the field bellow a certain value, and magnetic catalysis for
those above it.
| [
{
"created": "Thu, 15 Apr 2021 18:54:45 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Sep 2021 22:28:06 GMT",
"version": "v2"
},
{
"created": "Sat, 11 Jun 2022 03:34:28 GMT",
"version": "v3"
}
] | 2022-06-29 | [
[
"Elinos",
"Uriel",
""
],
[
"Patino",
"Leonardo",
""
]
] | We use the gauge/gravity correspondence to show that in its context there appear Landau levels when studying the excitations of the fundamental degrees of freedom of a strongly coupled plasma subject to a magnetic field of arbitrary intensity. We work in the phase where mesons are melted by embedding a D7-brane in the 10D uplift that we construct for the 5D background associated to a magnetic brane. By studying the dependence of the lowest quasinormal frequency on both, the intensity of the magnetic field and the Landau level, we corroborate that the energy behaves as expected for dissociating Landau levels. The reconstruction of the impact of the magnetic field on the stability of the quasinormal modes allows us to identify inverse magnetic catalysis for intensities of the field bellow a certain value, and magnetic catalysis for those above it. |
hep-th/0301182 | Danielsson | Ulf H. Danielsson | Holography, inflation, and quantum fluctuations in the early universe | 14 pages, v2: references added | JCAP 0303 (2003) 002 | 10.1088/1475-7516/2003/03/002 | UUITP-01/03 | hep-th | null | In this paper the relevance of holographic entropy bounds in the context of
inflation is investigated. We distinguish between entropy on large and small
scales and confront the entropy of quantum fluctuations in an inflating
cosmology with the appropriate entropy bounds. In conclusion we do not find any
constraints on inflation from holography, but some suggestions for future
studies are given.
| [
{
"created": "Thu, 23 Jan 2003 15:21:44 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Feb 2003 10:29:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Danielsson",
"Ulf H.",
""
]
] | In this paper the relevance of holographic entropy bounds in the context of inflation is investigated. We distinguish between entropy on large and small scales and confront the entropy of quantum fluctuations in an inflating cosmology with the appropriate entropy bounds. In conclusion we do not find any constraints on inflation from holography, but some suggestions for future studies are given. |
1604.06457 | Olaf Lechtenfeld | Francisco Correa, Olaf Lechtenfeld | The tetrahexahedric Calogero model | 1+10 pages, talk by O.L. at SQS'15, Dubna, Russia, 03-08 August, 2015 | null | 10.1134/S1547477117020066 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the spherical reduction of the rational Calogero model (of type
$A_{n-1}$, without the center of mass) as a maximally superintegrable quantum
system. It describes a particle on the $(n{-}2)$-sphere in a very special
potential. A detailed analysis is provided of the simplest non-separable case,
$n{=}4$, whose potential blows up at the edges of a spherical tetrahexahedron,
tesselating the two-sphere into 24 identical right isosceles spherical
triangles in which the particle is trapped. We construct a complete set of
independent conserved charges and of Hamiltonian intertwiners and elucidate
their algebra. The key structure is the ring of polynomials in Dunkl-deformed
angular momenta, in particular the subspaces invariant and antiinvariant under
all Weyl reflections, respectively.
| [
{
"created": "Thu, 21 Apr 2016 20:00:02 GMT",
"version": "v1"
}
] | 2017-04-05 | [
[
"Correa",
"Francisco",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | We consider the spherical reduction of the rational Calogero model (of type $A_{n-1}$, without the center of mass) as a maximally superintegrable quantum system. It describes a particle on the $(n{-}2)$-sphere in a very special potential. A detailed analysis is provided of the simplest non-separable case, $n{=}4$, whose potential blows up at the edges of a spherical tetrahexahedron, tesselating the two-sphere into 24 identical right isosceles spherical triangles in which the particle is trapped. We construct a complete set of independent conserved charges and of Hamiltonian intertwiners and elucidate their algebra. The key structure is the ring of polynomials in Dunkl-deformed angular momenta, in particular the subspaces invariant and antiinvariant under all Weyl reflections, respectively. |
hep-th/0303226 | Cesar D. Fosco | C.D. Fosco, A. Lopez | Fermion propagator for QED_3 in the IR domain | 11 pages, LaTeX; typo corrected in Eq.37 | Phys.Lett. B562 (2003) 245-250 | 10.1016/S0370-2693(03)00583-5 | null | hep-th | null | We evaluate the fermion propagator in parity-conserving QED_3 with N
flavours, in the context of an IR domain approximation. This provides results
which are non-perturbative in the loopwise expansion sense. We include
fermion-loop effects, and show that they are relevant to the chiral symmetry
breaking phenomenon, that can be understood in this context.
| [
{
"created": "Wed, 26 Mar 2003 15:56:19 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2003 16:46:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Fosco",
"C. D.",
""
],
[
"Lopez",
"A.",
""
]
] | We evaluate the fermion propagator in parity-conserving QED_3 with N flavours, in the context of an IR domain approximation. This provides results which are non-perturbative in the loopwise expansion sense. We include fermion-loop effects, and show that they are relevant to the chiral symmetry breaking phenomenon, that can be understood in this context. |
2204.05977 | Nikita Tselousov | A.Morozov, N. Tselousov | Evolution properties of the knot's defect | null | null | 10.1140/epjc/s10052-022-10705-2 | null | hep-th math-ph math.GT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The defect of differential (cyclotomic) expansion for colored HOMFLY-PT
polynomials is conjectured to be invariant under any antiparallel evolution and
change linearly with the evolution in any parallel direction. In other words,
each ${\cal R}$-matrix can be substituted by an entire 2-strand braid in two
different ways: the defect remains intact when the braid is antiparallel and
changes by half of the added length when the braid is parallel.
| [
{
"created": "Tue, 12 Apr 2022 17:44:09 GMT",
"version": "v1"
}
] | 2022-09-21 | [
[
"Morozov",
"A.",
""
],
[
"Tselousov",
"N.",
""
]
] | The defect of differential (cyclotomic) expansion for colored HOMFLY-PT polynomials is conjectured to be invariant under any antiparallel evolution and change linearly with the evolution in any parallel direction. In other words, each ${\cal R}$-matrix can be substituted by an entire 2-strand braid in two different ways: the defect remains intact when the braid is antiparallel and changes by half of the added length when the braid is parallel. |
hep-th/9312052 | Juan Perez Mercader | J. Perez-Mercader | The Renormalization Group, Entropy, Thermodynamic Phase Transitions and
Order in Quantum Field Theory | uses ReVTeX 2.1, 13 pages + 5 figures (available by request to the
author), LAEFF-93/017 | null | null | null | hep-th cond-mat hep-ph | null | We define an entropy for a quantum field theory by combining quantum
fluctuations, scaling and the maximum entropy concept. This entropy has
different behavior in asymptotically free and non--asymptotically free
theories. We find that the transition between the two regimes (from the
asymptotically free to the non--asymptotically free) takes place via a
continuous phase transition. For asymptotically free theories there exist
regimes where the ``temperatures" are negative. In asymptotically free theories
there exist maser--like states mostly in the infrared; furthermore, as one goes
into the ultraviolet and more matter states contribute to quantum processes,
the quantum field system can shed entropy and cause the formation of
thermodynamically stable {\it entropy--ordered} states. It is shown how the
known heavier quarks can be thus described.
| [
{
"created": "Tue, 7 Dec 1993 13:06:16 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Perez-Mercader",
"J.",
""
]
] | We define an entropy for a quantum field theory by combining quantum fluctuations, scaling and the maximum entropy concept. This entropy has different behavior in asymptotically free and non--asymptotically free theories. We find that the transition between the two regimes (from the asymptotically free to the non--asymptotically free) takes place via a continuous phase transition. For asymptotically free theories there exist regimes where the ``temperatures" are negative. In asymptotically free theories there exist maser--like states mostly in the infrared; furthermore, as one goes into the ultraviolet and more matter states contribute to quantum processes, the quantum field system can shed entropy and cause the formation of thermodynamically stable {\it entropy--ordered} states. It is shown how the known heavier quarks can be thus described. |
hep-th/9403035 | Satoshi Matsuda | Satoshi Matsuda | Representation Blocks of Conformal Fields for the $N$=4 SU(2)$_k$
Superconformal Algebras | 30 pages, KUCP-64, phyzzx, TeX file | Int.J.Mod.Phys. A10 (1995) 1671-1692 | 10.1142/S0217751X95000802 | null | hep-th | null | The representation theories of the SU(2)$_k$-extended $N$=4 superconformal
algebras (SCAs) with $arbitrary$ level $k$ are developed being based on their
Feigin-Fuchs representations found recently by the present author. A basic unit
of the representation blocks consisting of eight \lq\lq boson-like\rq\rq\ and
eight \lq\lq fermion-like\rq\rq\ conformal fields is found to describe
arbitrary representations of the $N$=4 SU(2)$_k$ SCAs, including {\it unitary}
and {\it nonunitary} representations. The transformation properties of the
fundamental sets of the conformal fields under the $N$=4 SU(2)$_k$
superconformal symmetries are given. Then, the whole sets of the
charge-screening operators of the $N$=4 SU(2)$_k$ SCAs are identified out of
the sixteen conformal fields in the basic unit of the representation blocks.
The conditions for the {\it eligible} charge-screening operators are analyzed
in terms of the continuous parameters which enter in our vertex-operator forms
for the fundamental conformal fields of the representation blocks.
| [
{
"created": "Mon, 7 Mar 1994 04:34:13 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Matsuda",
"Satoshi",
""
]
] | The representation theories of the SU(2)$_k$-extended $N$=4 superconformal algebras (SCAs) with $arbitrary$ level $k$ are developed being based on their Feigin-Fuchs representations found recently by the present author. A basic unit of the representation blocks consisting of eight \lq\lq boson-like\rq\rq\ and eight \lq\lq fermion-like\rq\rq\ conformal fields is found to describe arbitrary representations of the $N$=4 SU(2)$_k$ SCAs, including {\it unitary} and {\it nonunitary} representations. The transformation properties of the fundamental sets of the conformal fields under the $N$=4 SU(2)$_k$ superconformal symmetries are given. Then, the whole sets of the charge-screening operators of the $N$=4 SU(2)$_k$ SCAs are identified out of the sixteen conformal fields in the basic unit of the representation blocks. The conditions for the {\it eligible} charge-screening operators are analyzed in terms of the continuous parameters which enter in our vertex-operator forms for the fundamental conformal fields of the representation blocks. |
1402.7362 | Charles B. Thorn | Songge Sun and Charles B. Thorn | Stable String Bit Models | 26 pages, 7 figures, error corrected in eq (81) and typos corrected | Phys. Rev. D 89, 105002 (2014) | 10.1103/PhysRevD.89.105002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In string bit models, the superstring emerges as a very long chain of "bits",
in which s fermionic degrees of freedom contribute positively to the ground
state energy in a way to exactly cancel the destabilizing negative
contributions of d=s bosonic degrees of freedom. We propose that the physics of
string formation be studied nonperturbatively in the class of string bit models
in which s>d, so that a long chain is stable, in contrast to the marginally
stable (s=d=8) superstring chain. We focus on the simplest of these models with
s=1 and d=0, in which the string bits live in zero space dimensions. The string
bit creation operators are N X N matrices. We choose a Hamiltonian such that
the large N limit produces string moving in one space dimension, with
excitations corresponding to one Grassmann lightcone worldsheet field (s=1) and
no bosonic worldsheet field (d=0). We study this model at finite N to assess
the role of the large N limit in the emergence of the spatial dimension. Our
results suggest that string-like states with large bit number M may not exist
for N<(M-1)/2. If this is correct, one can have finite chains of string bits,
but not continuous string, at finite N. Only for extremely large N can such
chains behave approximately like continuous string, in which case there will
also be the (approximate) emergence of a new spatial dimension. In string bit
models designed to produce critical superstring at N=infinity, we can then
expect only approximate Lorentz invariance at finite N, with violations of
order 1/N^2.
| [
{
"created": "Fri, 28 Feb 2014 20:05:36 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2014 18:12:05 GMT",
"version": "v2"
}
] | 2014-05-14 | [
[
"Sun",
"Songge",
""
],
[
"Thorn",
"Charles B.",
""
]
] | In string bit models, the superstring emerges as a very long chain of "bits", in which s fermionic degrees of freedom contribute positively to the ground state energy in a way to exactly cancel the destabilizing negative contributions of d=s bosonic degrees of freedom. We propose that the physics of string formation be studied nonperturbatively in the class of string bit models in which s>d, so that a long chain is stable, in contrast to the marginally stable (s=d=8) superstring chain. We focus on the simplest of these models with s=1 and d=0, in which the string bits live in zero space dimensions. The string bit creation operators are N X N matrices. We choose a Hamiltonian such that the large N limit produces string moving in one space dimension, with excitations corresponding to one Grassmann lightcone worldsheet field (s=1) and no bosonic worldsheet field (d=0). We study this model at finite N to assess the role of the large N limit in the emergence of the spatial dimension. Our results suggest that string-like states with large bit number M may not exist for N<(M-1)/2. If this is correct, one can have finite chains of string bits, but not continuous string, at finite N. Only for extremely large N can such chains behave approximately like continuous string, in which case there will also be the (approximate) emergence of a new spatial dimension. In string bit models designed to produce critical superstring at N=infinity, we can then expect only approximate Lorentz invariance at finite N, with violations of order 1/N^2. |
1903.02860 | David S. Berman | David S. Berman | A Kaluza-Klein Approach to Double and Exceptional Field Theory | 19 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018 | null | 10.1002/prop.201910002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the challenge of viewing all the fields in supergravity as arising
from a Kaluza-Klein like dimensional reduction of some higher-dimensional
theory. This gives rise to what is known as exceptional field theory or double
field theory. A particular emphasis is placed on following the Kaluza-Klein
intuition leading to the identification of charged states and a
reinterpretation of the central charges. We further give a description of the
novel extended geometry as a generalised phase space and the relationship to
string and M-theory theory and the notion of quantization
| [
{
"created": "Thu, 7 Mar 2019 12:09:14 GMT",
"version": "v1"
}
] | 2021-07-28 | [
[
"Berman",
"David S.",
""
]
] | We examine the challenge of viewing all the fields in supergravity as arising from a Kaluza-Klein like dimensional reduction of some higher-dimensional theory. This gives rise to what is known as exceptional field theory or double field theory. A particular emphasis is placed on following the Kaluza-Klein intuition leading to the identification of charged states and a reinterpretation of the central charges. We further give a description of the novel extended geometry as a generalised phase space and the relationship to string and M-theory theory and the notion of quantization |
1004.3417 | Bo Feng | Bo Feng, Rijun Huang, Yin Jia | Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix
Program | 4 Pages. No Figures. Rewriting of Introduction | Phys.Lett.B695:350-353,2011 | 10.1016/j.physletb.2010.11.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using only the Britto-Cachazo-Feng-Witten(BCFW) on-shell recursion relation
we prove color-order reversed relation, $U(1)$-decoupling relation,
Kleiss-Kuijf(KK) relation and Bern-Carrasco-Johansson(BCJ) relation for
color-ordered gauge amplitude in the framework of S-matrix program without
relying on Lagrangian description. Our derivation is the first pure field
theory proof of the new discovered BCJ identity, which substantially reduces
the color ordered basis from $(n-2)!$ to $(n-3)!$. Our proof gives also its
physical interpretation as the mysterious bonus relation with ${1\over z^2}$
behavior under suitable on-shell deformation for no adjacent pair.
| [
{
"created": "Tue, 20 Apr 2010 11:48:42 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2010 06:50:12 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Aug 2010 07:57:38 GMT",
"version": "v3"
}
] | 2011-01-27 | [
[
"Feng",
"Bo",
""
],
[
"Huang",
"Rijun",
""
],
[
"Jia",
"Yin",
""
]
] | Using only the Britto-Cachazo-Feng-Witten(BCFW) on-shell recursion relation we prove color-order reversed relation, $U(1)$-decoupling relation, Kleiss-Kuijf(KK) relation and Bern-Carrasco-Johansson(BCJ) relation for color-ordered gauge amplitude in the framework of S-matrix program without relying on Lagrangian description. Our derivation is the first pure field theory proof of the new discovered BCJ identity, which substantially reduces the color ordered basis from $(n-2)!$ to $(n-3)!$. Our proof gives also its physical interpretation as the mysterious bonus relation with ${1\over z^2}$ behavior under suitable on-shell deformation for no adjacent pair. |
2004.01404 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | Novel cosmological and black hole solutions in Einstein and
higher-derivative gravity in two dimensions | LaTeX 7 pages, to appear in EPL, references are added | null | 10.1209/0295-5075/130/10004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider cosmological and black hole solutions in the Einstein and
higher-derivative gravity in two dimensions where the theory is formulated
first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous
singular rescaling of the scalar curvature coupling constant as $1/(D-2)$, we
get the novel Einstein and higher-derivative gravity. Due to non-trivial
contribution of scalar curvature which is topological invariant in exactly two
dimensions to gravitational equations in the two-dimensional limit one gets
novel cosmological and black hole solutions.In particular, the de Sitter and
radiation-dominated universe and the Schwarzschild-de Sitter and
Schwarzschild-anti-de Sitter black hole solutions are obtained and their
properties are discussed.
| [
{
"created": "Fri, 3 Apr 2020 07:20:13 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2020 08:25:16 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular rescaling of the scalar curvature coupling constant as $1/(D-2)$, we get the novel Einstein and higher-derivative gravity. Due to non-trivial contribution of scalar curvature which is topological invariant in exactly two dimensions to gravitational equations in the two-dimensional limit one gets novel cosmological and black hole solutions.In particular, the de Sitter and radiation-dominated universe and the Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter black hole solutions are obtained and their properties are discussed. |
1506.03222 | Jan Troost | Antoine Bourget and Jan Troost | Counting the Massive Vacua of N=1* Super Yang-Mills Theory | 21 pages, 4 figures | null | 10.1007/JHEP08(2015)106 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the number of massive vacua of N=4 supersymmetric Yang-Mills
theory mass-deformed to preserve N=1 supersymmetry, for any gauge group G. We
use semi-classical techniques and efficiently reproduce the known counting for
A,B and C-type gauge groups, present the generating function for both O(2n) and
SO(2n), and compute the supersymmetric index for gauge groups of exceptional
type. A crucial role is played by the classification of nilpotent orbits, as
well as global properties of their centralizers. We give illustrative examples
of new features of our analysis for the D-type algebras.
| [
{
"created": "Wed, 10 Jun 2015 09:09:04 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Bourget",
"Antoine",
""
],
[
"Troost",
"Jan",
""
]
] | We compute the number of massive vacua of N=4 supersymmetric Yang-Mills theory mass-deformed to preserve N=1 supersymmetry, for any gauge group G. We use semi-classical techniques and efficiently reproduce the known counting for A,B and C-type gauge groups, present the generating function for both O(2n) and SO(2n), and compute the supersymmetric index for gauge groups of exceptional type. A crucial role is played by the classification of nilpotent orbits, as well as global properties of their centralizers. We give illustrative examples of new features of our analysis for the D-type algebras. |
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