id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0505055 | Francesco Bigazzi | M. Bertolini, F. Bigazzi, A. L. Cotrone | Supersymmetry breaking at the end of a cascade of Seiberg dualities | 12 pages, 2 figures, minor changes, typos corrected | Phys.Rev.D72:061902,2005 | 10.1103/PhysRevD.72.061902 | SISSA-30/2005/EP, LPTHE-05-11 | hep-th | null | We study the IR dynamics of the cascading non-conformal quiver theory on N
regular and M fractional D3 branes at the tip of the complex cone over the
first del Pezzo surface. The horizon of this cone is the irregular
Sasaki-Einstein manifold Y^{2,1}. Our analysis shows that at the end of the
cascade supersymmetry is dynamically broken.
| [
{
"created": "Thu, 5 May 2005 19:01:55 GMT",
"version": "v1"
},
{
"created": "Fri, 6 May 2005 10:46:39 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Sep 2005 13:34:24 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bertolini",
"M.",
""
],
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
]
] | We study the IR dynamics of the cascading non-conformal quiver theory on N regular and M fractional D3 branes at the tip of the complex cone over the first del Pezzo surface. The horizon of this cone is the irregular Sasaki-Einstein manifold Y^{2,1}. Our analysis shows that at the end of the cascade supersymmetry is dynamically broken. |
hep-th/9304034 | null | A. Klemm and S. Theisen | Mirror Maps and Instanton Sums for Complete Intersections in Weighted
Projective Space | 10 pages | Mod.Phys.Lett.A9:1807-1818,1994 | 10.1142/S0217732394001660 | LMU-TP 93-08 | hep-th math.AG | null | We consider a class of Calabi-Yau compactifications which are constructed as
a complete intersection in weighted projective space. For manifolds with one
K\"ahler modulus we construct the mirror manifolds and calculate the instanton
sum.
| [
{
"created": "Thu, 8 Apr 1993 18:51:30 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Klemm",
"A.",
""
],
[
"Theisen",
"S.",
""
]
] | We consider a class of Calabi-Yau compactifications which are constructed as a complete intersection in weighted projective space. For manifolds with one K\"ahler modulus we construct the mirror manifolds and calculate the instanton sum. |
hep-th/9804036 | Martin Reuter | M. Reuter | Quantum Mechanics as a Gauge Theory of Metaplectic Spinor Fields | 61 pages, latex | Int.J.Mod.Phys. A13 (1998) 3835-3884 | 10.1142/S0217751X98001803 | DESY 97-127 | hep-th gr-qc quant-ph | null | A hidden gauge theory structure of quantum mechanics which is invisible in
its conventional formulation is uncovered. Quantum mechanics is shown to be
equivalent to a certain Yang-Mills theory with an infinite-dimensional gauge
group and a nondynamical connection. It is defined over an arbitrary symplectic
manifold which constitutes the phase-space of the system under consideration.
The ''matter fields'' are local generalizations of states and observables; they
assume values in a family of local Hilbert spaces (and their tensor products)
which are attached to the points of phase-space. Under local frame rotations
they transform in the spinor representation of the metaplectic group Mp(2N),
the double covering of Sp(2N). The rules of canonical quantization are replaced
by two independent postulates with a simple group theoretical and differential
geometrical interpretation. A novel background-quantum split symmetry plays a
central role.
| [
{
"created": "Sat, 4 Apr 1998 08:14:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Reuter",
"M.",
""
]
] | A hidden gauge theory structure of quantum mechanics which is invisible in its conventional formulation is uncovered. Quantum mechanics is shown to be equivalent to a certain Yang-Mills theory with an infinite-dimensional gauge group and a nondynamical connection. It is defined over an arbitrary symplectic manifold which constitutes the phase-space of the system under consideration. The ''matter fields'' are local generalizations of states and observables; they assume values in a family of local Hilbert spaces (and their tensor products) which are attached to the points of phase-space. Under local frame rotations they transform in the spinor representation of the metaplectic group Mp(2N), the double covering of Sp(2N). The rules of canonical quantization are replaced by two independent postulates with a simple group theoretical and differential geometrical interpretation. A novel background-quantum split symmetry plays a central role. |
1709.02819 | Brian McPeak | James T. Liu, Brian McPeak | One-Loop Holographic Weyl Anomaly in Six Dimensions | 28 pages | null | 10.1007/JHEP01(2018)149 | MCTP-17-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute $\mathcal O(1)$ corrections to the holographic Weyl anomaly for
six-dimensional $\mathcal N=(1,0)$ and $(2,0)$ theories using the functional
Schr\"odinger method that is conjectured to work for supersymmetric theories on
Ricci-flat backgrounds. We show that these corrections vanish for long
representations of the $\mathcal N=(1,0)$ theory, and we obtain an expression
for $\delta(c-a)$ for short representations with maximum spin two. We also
confirm that the one-loop corrections to the $\mathcal N=(2,0)$ M5-brane theory
are equal and opposite to the anomaly for the free tensor multiplet. Finally,
we discuss the possibility of extending the results to encompass multiplets
with spins greater than two.
| [
{
"created": "Fri, 8 Sep 2017 18:01:30 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Liu",
"James T.",
""
],
[
"McPeak",
"Brian",
""
]
] | We compute $\mathcal O(1)$ corrections to the holographic Weyl anomaly for six-dimensional $\mathcal N=(1,0)$ and $(2,0)$ theories using the functional Schr\"odinger method that is conjectured to work for supersymmetric theories on Ricci-flat backgrounds. We show that these corrections vanish for long representations of the $\mathcal N=(1,0)$ theory, and we obtain an expression for $\delta(c-a)$ for short representations with maximum spin two. We also confirm that the one-loop corrections to the $\mathcal N=(2,0)$ M5-brane theory are equal and opposite to the anomaly for the free tensor multiplet. Finally, we discuss the possibility of extending the results to encompass multiplets with spins greater than two. |
1908.05000 | Nissan Itzhaki | Amit Giveon and Nissan Itzhaki | Stringy Black Hole Interiors | null | null | 10.1007/JHEP11(2019)014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that non-perturbative $\alpha'$ corrections to the
$SL(2,\IR)/U(1)$ cigar geometry are described via a condensation of a
Sine-Liouville operator that schematically can be written as $W^{+}+W^{-}$,
where $W^{\pm}$ describe a string with winding number $\pm 1$. This
condensation leads to interesting effects in the cigar geometry that take place
already at the classical level in string theory. Condensation of the
analytically continued Sine-Liouville operator in the Lorentzian
$SL(2,\IR)/U(1)$ black hole is problematic. Here, we propose that in the black
hole case, the non-perturbative $\alpha'$ corrections are described in terms of
an operator that can be viewed as the analytic continuation of the fusion of
$W^+$ and $W^-$. We show that this operator does not suffer from the same
problem as the analytically continued Sine-Liouville operator and argue that it
describes folded strings that fill the entire black hole and, in a sense,
replace the black hole interior. We estimate the folded strings radiation, and
show that they radiate at the Hawking temperature.
| [
{
"created": "Wed, 14 Aug 2019 07:37:34 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2019 06:09:00 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
]
] | It is well known that non-perturbative $\alpha'$ corrections to the $SL(2,\IR)/U(1)$ cigar geometry are described via a condensation of a Sine-Liouville operator that schematically can be written as $W^{+}+W^{-}$, where $W^{\pm}$ describe a string with winding number $\pm 1$. This condensation leads to interesting effects in the cigar geometry that take place already at the classical level in string theory. Condensation of the analytically continued Sine-Liouville operator in the Lorentzian $SL(2,\IR)/U(1)$ black hole is problematic. Here, we propose that in the black hole case, the non-perturbative $\alpha'$ corrections are described in terms of an operator that can be viewed as the analytic continuation of the fusion of $W^+$ and $W^-$. We show that this operator does not suffer from the same problem as the analytically continued Sine-Liouville operator and argue that it describes folded strings that fill the entire black hole and, in a sense, replace the black hole interior. We estimate the folded strings radiation, and show that they radiate at the Hawking temperature. |
0904.0475 | Olivera Miskovic | Olivera Miskovic and Jorge Zanelli | On the negative spectrum of the 2+1 black hole | 6 pages, 1 figure, ReVTeX | Phys.Rev.D79:105011,2009 | 10.1103/PhysRevD.79.105011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In (2+1)-dimensional gravity with negative cosmological constant, the states
in the negative energy range, between AdS (M=-1) and the so-called BTZ black
hole ($M\geq 0$), correspond to topological defects with angular deficit
$0<\alpha <2\pi $. These defects are produced by (static or spinning) 0-branes
which, in the extreme case $M\ell =-|J|$, admit globally-defined covariantly
constant spinors. Thus, these branes correspond to BPS solitons and are stable
ground state candidates for the corresponding supersymmetric extension of 2+1
AdS gravity. These branes constitute external currents that couple in a
gauge-invariant way to three-dimensional AdS gravity.
| [
{
"created": "Thu, 2 Apr 2009 21:50:01 GMT",
"version": "v1"
}
] | 2009-12-10 | [
[
"Miskovic",
"Olivera",
""
],
[
"Zanelli",
"Jorge",
""
]
] | In (2+1)-dimensional gravity with negative cosmological constant, the states in the negative energy range, between AdS (M=-1) and the so-called BTZ black hole ($M\geq 0$), correspond to topological defects with angular deficit $0<\alpha <2\pi $. These defects are produced by (static or spinning) 0-branes which, in the extreme case $M\ell =-|J|$, admit globally-defined covariantly constant spinors. Thus, these branes correspond to BPS solitons and are stable ground state candidates for the corresponding supersymmetric extension of 2+1 AdS gravity. These branes constitute external currents that couple in a gauge-invariant way to three-dimensional AdS gravity. |
1806.09342 | Alfredo Guerrera | Paolo Castorina, Alfredo Guerrera and Tomislav Prokopec | Phase Space Non-commutativity and its Stability | 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a generalised non-commutative space-time in which
non-commutativity is extended to all phase space variables. If strong enough,
non-commutativity can affect stability of the system. We perform stability
analysis on a couple of simple examples and show that a system can be
stabilised by introducing quartic interactions provided they satisfy
phase-space copositivity. In order to conduct perturbative analysis of these
systems one can use either canonical methods or phase-space path integral
methods which we present in some detail.
| [
{
"created": "Mon, 25 Jun 2018 09:21:41 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2018 14:24:19 GMT",
"version": "v2"
}
] | 2018-08-31 | [
[
"Castorina",
"Paolo",
""
],
[
"Guerrera",
"Alfredo",
""
],
[
"Prokopec",
"Tomislav",
""
]
] | We consider a generalised non-commutative space-time in which non-commutativity is extended to all phase space variables. If strong enough, non-commutativity can affect stability of the system. We perform stability analysis on a couple of simple examples and show that a system can be stabilised by introducing quartic interactions provided they satisfy phase-space copositivity. In order to conduct perturbative analysis of these systems one can use either canonical methods or phase-space path integral methods which we present in some detail. |
0804.1073 | Claudio Scrucca | Laura Covi, Marta Gomez-Reino, Christian Gross, Jan Louis, Gonzalo A.
Palma, Claudio A. Scrucca | de Sitter vacua in no-scale supergravities and Calabi-Yau string models | 34 pages, LaTex. v2 typos corrected. v3 published version | JHEP 0806:057,2008 | 10.1088/1126-6708/2008/06/057 | DESY 08-038, CERN-PH-TH/2008-066, ZMP-HH/08-6 | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a general analysis on the possibility of obtaining metastable
vacua with spontaneously broken N=1 supersymmetry and non-negative cosmological
constant in the moduli sector of string models. More specifically, we study the
condition under which the scalar partners of the Goldstino are non-tachyonic,
which depends only on the Kahler potential. This condition is not only
necessary but also sufficient, in the sense that all of the other scalar fields
can be given arbitrarily large positive square masses if the superpotential is
suitably tuned. We consider both heterotic and orientifold string
compactifications in the large-volume limit and show that the no-scale property
shared by these models severely restricts the allowed values for the
`sGoldstino' masses in the superpotential parameter space. We find that a
positive mass term may be achieved only for certain types of compactifications
and specific Goldstino directions. Additionally, we show how subleading
corrections to the Kahler potential which break the no-scale property may allow
to lift these masses.
| [
{
"created": "Mon, 7 Apr 2008 16:38:25 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2008 17:19:03 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jun 2008 18:16:52 GMT",
"version": "v3"
}
] | 2009-12-04 | [
[
"Covi",
"Laura",
""
],
[
"Gomez-Reino",
"Marta",
""
],
[
"Gross",
"Christian",
""
],
[
"Louis",
"Jan",
""
],
[
"Palma",
"Gonzalo A.",
""
],
[
"Scrucca",
"Claudio A.",
""
]
] | We perform a general analysis on the possibility of obtaining metastable vacua with spontaneously broken N=1 supersymmetry and non-negative cosmological constant in the moduli sector of string models. More specifically, we study the condition under which the scalar partners of the Goldstino are non-tachyonic, which depends only on the Kahler potential. This condition is not only necessary but also sufficient, in the sense that all of the other scalar fields can be given arbitrarily large positive square masses if the superpotential is suitably tuned. We consider both heterotic and orientifold string compactifications in the large-volume limit and show that the no-scale property shared by these models severely restricts the allowed values for the `sGoldstino' masses in the superpotential parameter space. We find that a positive mass term may be achieved only for certain types of compactifications and specific Goldstino directions. Additionally, we show how subleading corrections to the Kahler potential which break the no-scale property may allow to lift these masses. |
1506.07606 | Rebekah Cross | R. Cross | Asymptotic Dynamics of Monopole Walls | 21 pages, LaTeX, 5 figures | Phys. Rev. D 92, 045029 (2015) | 10.1103/PhysRevD.92.045029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the asymptotic dynamics of the U(N) doubly periodic BPS monopole
in Yang-Mills-Higgs theory, called a monopole wall, by exploring its Higgs
curve using the Newton polytope and amoeba. In particular, we show that the
monopole wall splits into subwalls when any of its moduli become large. The
long-distance gauge and Higgs field interactions of these subwalls are abelian,
allowing us to derive an asymptotic metric for the monopole wall moduli space.
| [
{
"created": "Thu, 25 Jun 2015 04:11:03 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jan 2016 01:19:12 GMT",
"version": "v2"
}
] | 2016-01-26 | [
[
"Cross",
"R.",
""
]
] | We determine the asymptotic dynamics of the U(N) doubly periodic BPS monopole in Yang-Mills-Higgs theory, called a monopole wall, by exploring its Higgs curve using the Newton polytope and amoeba. In particular, we show that the monopole wall splits into subwalls when any of its moduli become large. The long-distance gauge and Higgs field interactions of these subwalls are abelian, allowing us to derive an asymptotic metric for the monopole wall moduli space. |
1503.04518 | Xiao-Xiong Zeng | Xiao-Xiong Zeng, Xin-Yun Hu, Li-Fang Li | Effect of phantom dark energy on the holographic thermalization | arXiv admin note: text overlap with arXiv:1412.3878, arXiv:1405.5745
by other authors | CHIN. PHYS. LETT. 34 (2017) 010401 | 10.1088/0256-307X/34/1/010401 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Gravitational collapse of a shell of charged dust surrounded by the phantom
dark energy is probed by the minimal area surface, which is dual to probe the
thermalization in the boundary quantum field by expectation values of Wilson
loop in the framework of the AdS/CFT correspondence. We investigated mainly the
effect of the phantom dark energy parameter and chemical potential on the
thermalization. The result shows that the smaller the phantom dark energy
parameter is, the easier the plasma thermalizes as the chemical potential is
fixed, and the larger the chemical potential is, the harder the plasma
thermalizes as the dark energy parameter is fixed. We get the fitting function
of the thermalization curve and with it, the thermalization velocity and
thermalization acceleration are discussed.
| [
{
"created": "Mon, 16 Mar 2015 04:37:05 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Zeng",
"Xiao-Xiong",
""
],
[
"Hu",
"Xin-Yun",
""
],
[
"Li",
"Li-Fang",
""
]
] | Gravitational collapse of a shell of charged dust surrounded by the phantom dark energy is probed by the minimal area surface, which is dual to probe the thermalization in the boundary quantum field by expectation values of Wilson loop in the framework of the AdS/CFT correspondence. We investigated mainly the effect of the phantom dark energy parameter and chemical potential on the thermalization. The result shows that the smaller the phantom dark energy parameter is, the easier the plasma thermalizes as the chemical potential is fixed, and the larger the chemical potential is, the harder the plasma thermalizes as the dark energy parameter is fixed. We get the fitting function of the thermalization curve and with it, the thermalization velocity and thermalization acceleration are discussed. |
hep-th/0404196 | Johannes Walcher | Kentaro Hori and Johannes Walcher | F-term equations near Gepner points | 28 pages | JHEP 0501:008,2005 | 10.1088/1126-6708/2005/01/008 | NSF-KITP-04-50 | hep-th | null | We study marginal deformations of B-type D-branes in Landau-Ginzburg
orbifolds. The general setup of matrix factorizations allows for exact
computations of F-term equations in the low-energy effective theory which are
much simpler than in a corresponding geometric description. We present a number
of obstructed and unobstructed examples in detail, including one in which a
closed string modulus is obstructed by the presence of D-branes. In a certain
example, we find a non-trivial global structure of the BRST operator on the
moduli space of branes.
| [
{
"created": "Mon, 26 Apr 2004 19:39:17 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2004 12:45:29 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Hori",
"Kentaro",
""
],
[
"Walcher",
"Johannes",
""
]
] | We study marginal deformations of B-type D-branes in Landau-Ginzburg orbifolds. The general setup of matrix factorizations allows for exact computations of F-term equations in the low-energy effective theory which are much simpler than in a corresponding geometric description. We present a number of obstructed and unobstructed examples in detail, including one in which a closed string modulus is obstructed by the presence of D-branes. In a certain example, we find a non-trivial global structure of the BRST operator on the moduli space of branes. |
hep-th/9412124 | Alex Kasman | Alex Kasman (Boston University) | Bispectral KP Solutions and Linearization of Calogero-Moser Particle
Systems | LaTeX, 24 pages | Commun. Math. Phys. 172 (1995) 427 | 10.1007/BF02099435 | null | hep-th math.QA nlin.SI q-alg solv-int | null | A new construction using finite dimensional dual grassmannians is developed
to study rational and soliton solutions of the KP hierarchy. In the rational
case, properties of the tau function which are equivalent to bispectrality of
the associated wave function are identified. In particular, it is shown that
there exists a bound on the degree of all time variables in tau if and only if
the wave function is rank one and bispectral. The action of the bispectral
involution, beta, in the generic rational case is determined explicitly in
terms of dual grassmannian parameters. Using the correspondence between
rational solutions and particle systems, it is demonstrated that beta is a
linearizing map of the Calogero-Moser particle system and is essentially the
map sigma introduced by Airault, McKean and Moser in 1977.
| [
{
"created": "Wed, 14 Dec 1994 19:38:18 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Dec 1994 14:10:29 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Kasman",
"Alex",
"",
"Boston University"
]
] | A new construction using finite dimensional dual grassmannians is developed to study rational and soliton solutions of the KP hierarchy. In the rational case, properties of the tau function which are equivalent to bispectrality of the associated wave function are identified. In particular, it is shown that there exists a bound on the degree of all time variables in tau if and only if the wave function is rank one and bispectral. The action of the bispectral involution, beta, in the generic rational case is determined explicitly in terms of dual grassmannian parameters. Using the correspondence between rational solutions and particle systems, it is demonstrated that beta is a linearizing map of the Calogero-Moser particle system and is essentially the map sigma introduced by Airault, McKean and Moser in 1977. |
0810.3495 | Takayuki Nagashima | Minoru Eto, Toshiaki Fujimori, Takayuki Nagashima, Muneto Nitta,
Keisuke Ohashi, Norisuke Sakai | Dynamics of Strings between Walls | 48 pages, 9 figures | Phys.Rev.D79:045015,2009 | 10.1103/PhysRevD.79.045015 | DAMTP-2008-91, IFUP-TH/2008-31, TIT/HEP-585 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Configurations of vortex-strings stretched between or ending on domain walls
were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield(BPS) states in
N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string
positions, the center of mass of strings in each region between two adjacent
domain walls is shown to be non-normalizable whereas the rests are
normalizable. We study dynamics of vortex-strings stretched between separated
domain walls by using two methods, the moduli space (geodesic) approximation of
full 1/4 BPS states and the charged particle approximation for string endpoints
in the wall effective action. In the first method we explicitly obtain the
effective Lagrangian, in terms of hypergeometric functions, and find the 90
degree scattering for head-on collision. In the second method the domain wall
effective action is assumed to be U(1)^N gauge theory, and we find a good
agreement between two methods for well separated strings.
| [
{
"created": "Mon, 20 Oct 2008 08:58:09 GMT",
"version": "v1"
}
] | 2009-02-18 | [
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Nagashima",
"Takayuki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] | Configurations of vortex-strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield(BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex-strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string endpoints in the wall effective action. In the first method we explicitly obtain the effective Lagrangian, in terms of hypergeometric functions, and find the 90 degree scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1)^N gauge theory, and we find a good agreement between two methods for well separated strings. |
1104.2738 | Nobuhiro Yonezawa | Hiroshi Itoyama and Nobuhiro Yonezawa | \epsilon-Corrected Seiberg-Witten Prepotential Obtained From Half Genus
Expansion in beta-Deformed Matrix Model | LaTeX, 31 pages, 3 figures; v2: references added | Int. J. Mod. Phys. A 26, 3439-3467, 2011 | 10.1142/S0217751X11053882 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the half-genus expansion of the resolvent function in the
$\beta$-deformed matrix model with three-Penner potential under the AGT
conjecture and the $0d-4d$ dictionary. The partition function of the model,
after the specification of the paths, becomes the DF conformal block for fixed
$c$ and provides the Nekrasov partition function expanded both in $g_s =
\sqrt{-\epsilon_1 \epsilon_2}$ and in $\epsilon = \epsilon_1+\epsilon_2$.
Exploiting the explicit expressions for the lower terms of the free energy
extracted from the above expansion, we derive the first few $\epsilon$
corrections to the Seiberg-Witten prepotential in terms of the parameters of
SU(2), $N_{f} =4$, ${\cal N}= 2$ supersymmetric gauge theory.
| [
{
"created": "Thu, 14 Apr 2011 12:09:08 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2011 07:49:58 GMT",
"version": "v2"
}
] | 2011-11-28 | [
[
"Itoyama",
"Hiroshi",
""
],
[
"Yonezawa",
"Nobuhiro",
""
]
] | We consider the half-genus expansion of the resolvent function in the $\beta$-deformed matrix model with three-Penner potential under the AGT conjecture and the $0d-4d$ dictionary. The partition function of the model, after the specification of the paths, becomes the DF conformal block for fixed $c$ and provides the Nekrasov partition function expanded both in $g_s = \sqrt{-\epsilon_1 \epsilon_2}$ and in $\epsilon = \epsilon_1+\epsilon_2$. Exploiting the explicit expressions for the lower terms of the free energy extracted from the above expansion, we derive the first few $\epsilon$ corrections to the Seiberg-Witten prepotential in terms of the parameters of SU(2), $N_{f} =4$, ${\cal N}= 2$ supersymmetric gauge theory. |
1202.0129 | Jie Yang | Jie Yang, Yun-Liang Li, Yuan Zhong, Yang Li | Thick Brane Split Caused by Spacetime Torsion | 20 pages, 3 figures | Phys.Rev.D85:084033,2012 | 10.1103/PhysRevD.85.084033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we apply the five-dimensional $f(T)$ gravity with $f(T)=T+k
T^n$ to brane scenario to explore the solutions under a given warp factor, and
we find that the analytic domain wall solution will be a double-kink solution
when the geometric effect of spacetime torsion is strongly enhanced. We also
investigate the localization of fermion fields on the split branes
corresponding to the double-kink solution.
| [
{
"created": "Wed, 1 Feb 2012 09:56:11 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 03:14:24 GMT",
"version": "v2"
}
] | 2012-08-03 | [
[
"Yang",
"Jie",
""
],
[
"Li",
"Yun-Liang",
""
],
[
"Zhong",
"Yuan",
""
],
[
"Li",
"Yang",
""
]
] | In this paper we apply the five-dimensional $f(T)$ gravity with $f(T)=T+k T^n$ to brane scenario to explore the solutions under a given warp factor, and we find that the analytic domain wall solution will be a double-kink solution when the geometric effect of spacetime torsion is strongly enhanced. We also investigate the localization of fermion fields on the split branes corresponding to the double-kink solution. |
hep-th/0112155 | Dmitriy Uvarov | Dmitriy V. Uvarov | New Superembeddings for Type II Superstrings | 26 pages, LaTeX, JHEP.cls and JHEP.bst style files are used; v2:
misprints corrected, comments, acknowledgments, references added | JHEP 0207 (2002) 008 | 10.1088/1126-6708/2002/07/008 | null | hep-th | null | Possible ways of generalization of the superembedding approach for the
supersurfaces with the number of Grassmann directions being less than the half
of that for the target superspace are considered on example of Type II
superstrings. Focus is on n=(1,1) superworldsheet embedded into D=10 Type II
superspace that is of the interest for establishing a relation with the NSR
string.
| [
{
"created": "Tue, 18 Dec 2001 12:26:18 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2002 11:36:38 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Uvarov",
"Dmitriy V.",
""
]
] | Possible ways of generalization of the superembedding approach for the supersurfaces with the number of Grassmann directions being less than the half of that for the target superspace are considered on example of Type II superstrings. Focus is on n=(1,1) superworldsheet embedded into D=10 Type II superspace that is of the interest for establishing a relation with the NSR string. |
0710.0952 | Manvelyan Ruben | Ruben Manvelyan and Werner Ruehl | Generalized Curvature and Ricci Tensors for a Higher Spin Potential and
the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space | 15 pages, Latex,v.2 reference added | Nucl.Phys.B796:457-470,2008 | 10.1016/j.nuclphysb.2007.11.040 | null | hep-th | null | The curvature of a higher spin potential as constructed in a previous article
of the same authors arXiv:0705.3528 is applied to the analysis of the
linearized trace anomaly obtained from the quadratic part of the effective
action for a conformally coupled scalar with linearized interaction with the
external higher spin fields arXiv:hep-th/0602067. The spin is restricted to
four to profit from technical simplifications but without reducing the problem
in principle. The issue includes the calculation of all Ricci tensors as
multiple traces of the curvature, the derivation of all primary and secondary
Bianchi identities, expressing all Ricci tensors as differential operators
applied to the Fronsdal term, calculating the Weyl variation of these, and
showing finally that Weyl variations of integrals over contracted squares of
Ricci tensors can be used to eliminate the anomaly completely. This peculiarity
is discussed in detail. As tools we use the formalism of bisymmetric tensor
fields whose space is equipped with a local bilinear invariant form, the
*-form.
| [
{
"created": "Thu, 4 Oct 2007 08:54:25 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2007 09:36:42 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Manvelyan",
"Ruben",
""
],
[
"Ruehl",
"Werner",
""
]
] | The curvature of a higher spin potential as constructed in a previous article of the same authors arXiv:0705.3528 is applied to the analysis of the linearized trace anomaly obtained from the quadratic part of the effective action for a conformally coupled scalar with linearized interaction with the external higher spin fields arXiv:hep-th/0602067. The spin is restricted to four to profit from technical simplifications but without reducing the problem in principle. The issue includes the calculation of all Ricci tensors as multiple traces of the curvature, the derivation of all primary and secondary Bianchi identities, expressing all Ricci tensors as differential operators applied to the Fronsdal term, calculating the Weyl variation of these, and showing finally that Weyl variations of integrals over contracted squares of Ricci tensors can be used to eliminate the anomaly completely. This peculiarity is discussed in detail. As tools we use the formalism of bisymmetric tensor fields whose space is equipped with a local bilinear invariant form, the *-form. |
1905.04958 | Carlo Maccaferri | Carlo Maccaferri, Alberto Merlano | Localization of effective actions in open superstring field theory:
small Hilbert space | 34 pages, no figures. V2: Improved presentation, typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the algebraic effective couplings for open superstring massless
modes in the framework of the $A_\infty$ theory in the small Hilbert space.
Focusing on quartic algebraic couplings, we reduce the effective action of the
$A_\infty$ theory to the Berkovits one where we have already shown that such
couplings are fully computed from contributions at the boundary of moduli
space, when the massless fields under consideration are appropriately charged
under an ${\cal N}\!=\!2$ $R$-symmetry. Here we offer a proof of localization
which is in the small Hilbert space. We also discuss the flat directions of the
obtained quartic potentials and give evidence for the existence of exactly
marginal deformations in the $D3/D(-1)$ system in the framework of string field
theory.
| [
{
"created": "Mon, 13 May 2019 10:54:41 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Jun 2019 16:17:30 GMT",
"version": "v2"
}
] | 2019-06-04 | [
[
"Maccaferri",
"Carlo",
""
],
[
"Merlano",
"Alberto",
""
]
] | We consider the algebraic effective couplings for open superstring massless modes in the framework of the $A_\infty$ theory in the small Hilbert space. Focusing on quartic algebraic couplings, we reduce the effective action of the $A_\infty$ theory to the Berkovits one where we have already shown that such couplings are fully computed from contributions at the boundary of moduli space, when the massless fields under consideration are appropriately charged under an ${\cal N}\!=\!2$ $R$-symmetry. Here we offer a proof of localization which is in the small Hilbert space. We also discuss the flat directions of the obtained quartic potentials and give evidence for the existence of exactly marginal deformations in the $D3/D(-1)$ system in the framework of string field theory. |
2305.12674 | Kazumi Okuyama | Kazumi Okuyama | End of the world brane in double scaled SYK | 20 pages; v2: minor corrections; v3: to appear in JHEP | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the end of the world (EOW) brane in double scaled SYK (DSSYK) model.
We find that the boundary state of EOW brane is a coherent state of the
$q$-deformed oscillators and the associated orthogonal polynomial is the
continuous big $q$-Hermite polynomial. In a certain scaling limit, the big
$q$-Hermite polynomial reduces to the Whittaker function, which reproduces the
wavefunction of JT gravity with an EOW brane. We also compute the half-wormhole
amplitude in DSSYK and show that the amplitude is decomposed into the trumpet
and the factor coming from the EOW brane.
| [
{
"created": "Mon, 22 May 2023 03:28:46 GMT",
"version": "v1"
},
{
"created": "Thu, 25 May 2023 06:13:05 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Aug 2023 23:30:59 GMT",
"version": "v3"
}
] | 2023-08-07 | [
[
"Okuyama",
"Kazumi",
""
]
] | We study the end of the world (EOW) brane in double scaled SYK (DSSYK) model. We find that the boundary state of EOW brane is a coherent state of the $q$-deformed oscillators and the associated orthogonal polynomial is the continuous big $q$-Hermite polynomial. In a certain scaling limit, the big $q$-Hermite polynomial reduces to the Whittaker function, which reproduces the wavefunction of JT gravity with an EOW brane. We also compute the half-wormhole amplitude in DSSYK and show that the amplitude is decomposed into the trumpet and the factor coming from the EOW brane. |
hep-th/0009072 | Youko Onjo | Kenji Mohri, Yoko Onjo and Sung-Kil Yang (Univ. of Tsukuba) | Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on
Orbifolds | 50 pages, 1 figure, v2 | Rev.Math.Phys. 13 (2001) 675-715 | 10.1142/S0129055X01000867 | UTHEP-432 | hep-th | null | We study D-branes wrapping an exceptional four-cycle P(1,a,b) in a blown-up
C^3/Z_m non-compact Calabi-Yau threefold with (m;a,b)=(3;1,1), (4;1,2) and
(6;2,3). In applying the method of local mirror symmetry we find that the
Picard-Fuchs equations for the local mirror periods in the Z_{3,4,6} orbifolds
take the same form as the ones in the local E_{6,7,8} del Pezzo models,
respectively. It is observed, however, that the orbifold models and the del
Pezzo models possess different physical properties because the background NS
B-field is turned on in the case of Z_{3,4,6} orbifolds. This is shown by
analyzing the periods and their monodromies in full detail with the help of
Meijer G-functions. We use the results to discuss D-brane configurations on
P(1,a,b) as well as on del Pezzo surfaces. We also discuss the number theoretic
aspect of local mirror symmetry and observe that the exponent which governs the
exponential growth of the Gromov-Witten invariants is determined by the special
value of the Dirichlet L-function.
| [
{
"created": "Mon, 11 Sep 2000 16:26:41 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 2000 22:11:04 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Mohri",
"Kenji",
"",
"Univ. of Tsukuba"
],
[
"Onjo",
"Yoko",
"",
"Univ. of Tsukuba"
],
[
"Yang",
"Sung-Kil",
"",
"Univ. of Tsukuba"
]
] | We study D-branes wrapping an exceptional four-cycle P(1,a,b) in a blown-up C^3/Z_m non-compact Calabi-Yau threefold with (m;a,b)=(3;1,1), (4;1,2) and (6;2,3). In applying the method of local mirror symmetry we find that the Picard-Fuchs equations for the local mirror periods in the Z_{3,4,6} orbifolds take the same form as the ones in the local E_{6,7,8} del Pezzo models, respectively. It is observed, however, that the orbifold models and the del Pezzo models possess different physical properties because the background NS B-field is turned on in the case of Z_{3,4,6} orbifolds. This is shown by analyzing the periods and their monodromies in full detail with the help of Meijer G-functions. We use the results to discuss D-brane configurations on P(1,a,b) as well as on del Pezzo surfaces. We also discuss the number theoretic aspect of local mirror symmetry and observe that the exponent which governs the exponential growth of the Gromov-Witten invariants is determined by the special value of the Dirichlet L-function. |
1606.07328 | Laura Andrianopoli Prof. | L. Andrianopoli, R. D'Auria, L. Ravera | Hidden Gauge Structure of Supersymmetric Free Differential Algebras | Reorganization of sections, a subsection added to Section 4 | JHEP 1608 (2016) 095 | 10.1007/JHEP08(2016)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this paper is to clarify the role of the nilpotent fermionic
generator Q' introduced in Ref. [3] and appearing in the hidden supergroup
underlying the free differential algebra (FDA) of D=11 supergravity. We give a
physical explanation of its role by looking at the gauge properties of the
theory. We find that its presence is necessary, in order that the extra 1-forms
of the hidden supergroup give rise to the correct gauge transformations of the
p-forms of the FDA.
This interpretation is actually valid for any supergravity containing
antisymmetric tensor fields, and any supersymmetric FDA can always be traded
for a hidden Lie superalgebra containing extra fermionic nilpotent generators.
As an interesting example we construct the hidden superalgebra associated with
the FDA of N=2, D=7 supergravity. In this case we are able to parametrize the
mutually non local 2- and 3-form B^(2) and B^(3) in terms of hidden 1-forms and
find that supersymmetry and gauge invariance require in general the presence of
two nilpotent fermionic generators in the hidden algebra. We propose that our
approach, where all the invariances of the FDA are expressed as Lie derivatives
of the $p$-forms in the hidden supergroup manifold, could be an appropriate
framework to discuss theories defined in enlarged versions of superspace
recently considered in the literature, such us double field theory and its
generalizations.
| [
{
"created": "Thu, 23 Jun 2016 14:31:40 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2016 12:07:28 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jul 2016 16:29:49 GMT",
"version": "v3"
}
] | 2017-06-28 | [
[
"Andrianopoli",
"L.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ravera",
"L.",
""
]
] | The aim of this paper is to clarify the role of the nilpotent fermionic generator Q' introduced in Ref. [3] and appearing in the hidden supergroup underlying the free differential algebra (FDA) of D=11 supergravity. We give a physical explanation of its role by looking at the gauge properties of the theory. We find that its presence is necessary, in order that the extra 1-forms of the hidden supergroup give rise to the correct gauge transformations of the p-forms of the FDA. This interpretation is actually valid for any supergravity containing antisymmetric tensor fields, and any supersymmetric FDA can always be traded for a hidden Lie superalgebra containing extra fermionic nilpotent generators. As an interesting example we construct the hidden superalgebra associated with the FDA of N=2, D=7 supergravity. In this case we are able to parametrize the mutually non local 2- and 3-form B^(2) and B^(3) in terms of hidden 1-forms and find that supersymmetry and gauge invariance require in general the presence of two nilpotent fermionic generators in the hidden algebra. We propose that our approach, where all the invariances of the FDA are expressed as Lie derivatives of the $p$-forms in the hidden supergroup manifold, could be an appropriate framework to discuss theories defined in enlarged versions of superspace recently considered in the literature, such us double field theory and its generalizations. |
1211.0084 | Marco Schreck MS | M. Schreck, F. Sorba, S. Thambyahpillai | A simple model of pointlike spacetime defects and implications for
photon propagation | 40 pages, 9 figures | Phys. Rev. D 88, 125011 (2013) | 10.1103/PhysRevD.88.125011 | KA-TP-39-2012 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A model in which pointlike defects are randomly embedded in Minkowski
spacetime is considered. The distribution of spacetime defects is constructed
to be Lorentz-invariant. It does not introduce a preferred reference frame,
because it is based on a sprinkling process. A field-theoretic action for the
photon and a fermion is set up, in which the photon is assumed not to couple to
the defects directly, but via a scalar field. We are interested in signs for
Lorentz violation caused by the spacetime defects, which are expected to reveal
themselves in the photon sector. A modification of the photon dispersion
relation may result as a quantum effect and we compute it at leading order
perturbation theory.
The outcome of the calculation is that the photon dispersion law remains
conventional, if the defect distribution is dense, homogeneous, and isotropic.
This result sheds some new light on Lorentz violation in the framework of a
small-scale structure of spacetime. It shows that Lorentz invariance can be
preserved even in the presence of a spacetime structure that is supposed to
emerge at the Planck scale. This conclusion has already been drawn on general
grounds in other publications, where the current paper delivers a demonstration
by a direct computation in a simple model.
| [
{
"created": "Thu, 1 Nov 2012 03:50:09 GMT",
"version": "v1"
}
] | 2013-12-16 | [
[
"Schreck",
"M.",
""
],
[
"Sorba",
"F.",
""
],
[
"Thambyahpillai",
"S.",
""
]
] | A model in which pointlike defects are randomly embedded in Minkowski spacetime is considered. The distribution of spacetime defects is constructed to be Lorentz-invariant. It does not introduce a preferred reference frame, because it is based on a sprinkling process. A field-theoretic action for the photon and a fermion is set up, in which the photon is assumed not to couple to the defects directly, but via a scalar field. We are interested in signs for Lorentz violation caused by the spacetime defects, which are expected to reveal themselves in the photon sector. A modification of the photon dispersion relation may result as a quantum effect and we compute it at leading order perturbation theory. The outcome of the calculation is that the photon dispersion law remains conventional, if the defect distribution is dense, homogeneous, and isotropic. This result sheds some new light on Lorentz violation in the framework of a small-scale structure of spacetime. It shows that Lorentz invariance can be preserved even in the presence of a spacetime structure that is supposed to emerge at the Planck scale. This conclusion has already been drawn on general grounds in other publications, where the current paper delivers a demonstration by a direct computation in a simple model. |
1904.10055 | Detlev Buchholz | Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi and Ezio Vasselli | On string-localized potentials and gauge fields | 12 pages, no figures, v2: further specifications of the conclusions | null | 10.1007/s11005-019-01203-w | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A recent idea, put forward by Mund, Rehren and Schroer, is discussed; it
suggests that in gauge quantum field theory one can replace the point-localized
gauge fields by string-localized vector potentials built from gauge invariant
observables and a principle of string-independence. Based on a kinematical
model, describing unmovable (static) fields carrying opposite charges, it is
shown that these string-localized potentials cannot be used for the description
of the gauge bridges between electrically charged fields. These bridges are
needed in order to ensure the validity of Gauss' law. This observation does not
preclude the existence of Poincar\'e invariant theories, describing the
coupling of string-localized gauge invariant potentials to matter fields. But
these potentials are not a full-fledged substitute for the gauge fields in
``usual'' quantum electrodynamics.
| [
{
"created": "Mon, 22 Apr 2019 20:28:24 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Jun 2019 12:54:51 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Buchholz",
"Detlev",
""
],
[
"Ciolli",
"Fabio",
""
],
[
"Ruzzi",
"Giuseppe",
""
],
[
"Vasselli",
"Ezio",
""
]
] | A recent idea, put forward by Mund, Rehren and Schroer, is discussed; it suggests that in gauge quantum field theory one can replace the point-localized gauge fields by string-localized vector potentials built from gauge invariant observables and a principle of string-independence. Based on a kinematical model, describing unmovable (static) fields carrying opposite charges, it is shown that these string-localized potentials cannot be used for the description of the gauge bridges between electrically charged fields. These bridges are needed in order to ensure the validity of Gauss' law. This observation does not preclude the existence of Poincar\'e invariant theories, describing the coupling of string-localized gauge invariant potentials to matter fields. But these potentials are not a full-fledged substitute for the gauge fields in ``usual'' quantum electrodynamics. |
1008.2942 | Alessio Marrani | Sergio Ferrara, Renata Kallosh, Andrei Linde, Alessio Marrani and
Antoine Van Proeyen | Superconformal Symmetry, NMSSM, and Inflation | 55 pages, 3 figures. v2 : A discussion of the gravitino problem in
the NMSSM inflation scenario is added; v3 : A discussion of the unitarity
bound and of the phenomenological consequences of our model is extended. An
investigation of stability with respect to the charged Higgs fields is added.
This version is more updated than published one | Phys.Rev.D83:025008,2011 | 10.1103/PhysRevD.83.025008 | CERN-PH-TH/2010-182, SU-ITP-2010-15 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a particularly simple class of supergravity models describing
superconformal coupling of matter to supergravity. In these models, which we
call the canonical superconformal supergravity (CSS) models, the kinetic terms
in the Jordan frame are canonical, and the scalar potential is the same as in
the global theory. The pure supergravity part of the total action has a local
Poincare supersymmetry, whereas the chiral and vector multiplets coupled to
supergravity have a larger local superconformal symmetry. The scale-free
globally supersymmetric theories, such as the NMSSM with a scale-invariant
superpotential, can be naturally embedded into this class of theories. After
the supergravity embedding, the Jordan frame scalar potential of such theories
remains scale free; it is quartic, it contains no mass terms, no
nonrenormalizable terms, no cosmological constant. The local superconformal
symmetry can be broken by additional terms, which, in the small field limit,
are suppressed by the gravitational coupling. This can be achieved by
introducing the nonminimal scalar-curvature coupling, and by taking into
account interactions with a hidden sector. In this approach, the smallness of
the mass parameters in the NMSSM may be traced back to the original
superconformal invariance. This allows to address the \mu-problem and the
cosmological domain wall problem in this model, and to implement chaotic
inflation in the NMSSM. We discuss the gravitino problem in the NMSSM
inflation, as well as the possibility to obtain a broad class of new versions
of chaotic inflation in supergravity.
| [
{
"created": "Tue, 17 Aug 2010 17:51:36 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 2010 18:15:30 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jan 2011 21:37:36 GMT",
"version": "v3"
}
] | 2011-01-28 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We identify a particularly simple class of supergravity models describing superconformal coupling of matter to supergravity. In these models, which we call the canonical superconformal supergravity (CSS) models, the kinetic terms in the Jordan frame are canonical, and the scalar potential is the same as in the global theory. The pure supergravity part of the total action has a local Poincare supersymmetry, whereas the chiral and vector multiplets coupled to supergravity have a larger local superconformal symmetry. The scale-free globally supersymmetric theories, such as the NMSSM with a scale-invariant superpotential, can be naturally embedded into this class of theories. After the supergravity embedding, the Jordan frame scalar potential of such theories remains scale free; it is quartic, it contains no mass terms, no nonrenormalizable terms, no cosmological constant. The local superconformal symmetry can be broken by additional terms, which, in the small field limit, are suppressed by the gravitational coupling. This can be achieved by introducing the nonminimal scalar-curvature coupling, and by taking into account interactions with a hidden sector. In this approach, the smallness of the mass parameters in the NMSSM may be traced back to the original superconformal invariance. This allows to address the \mu-problem and the cosmological domain wall problem in this model, and to implement chaotic inflation in the NMSSM. We discuss the gravitino problem in the NMSSM inflation, as well as the possibility to obtain a broad class of new versions of chaotic inflation in supergravity. |
hep-th/0512287 | Emanuel Scheidegger | Susanne Reffert, Emanuel Scheidegger | Moduli Stabilization in Toroidal Type IIB Orientifolds | 15 pages, 3 figures, contribution to the proceedings of the RTN
workshop "Constituents, Fundamental Forces and Symmetries of the Universe",
Corfu, Greece, 20-26 September 2005 | Fortsch.Phys. 54 (2006) 462-471 | 10.1002/prop.200510292 | MPP-2005-169, DISTA-UPO-05 | hep-th | null | We discuss the first step in the moduli stabilization program a la KKLT for a
general class of resolved toroidal type IIB orientifolds. In particular, we
discuss their geometry, the topology of the divisors relevant for the D3-brane
instantons which can contribute to the superpotential, and some non--trivial
aspects of the orientifold action.
| [
{
"created": "Thu, 22 Dec 2005 15:10:33 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Reffert",
"Susanne",
""
],
[
"Scheidegger",
"Emanuel",
""
]
] | We discuss the first step in the moduli stabilization program a la KKLT for a general class of resolved toroidal type IIB orientifolds. In particular, we discuss their geometry, the topology of the divisors relevant for the D3-brane instantons which can contribute to the superpotential, and some non--trivial aspects of the orientifold action. |
0901.4539 | Jan Perz | Jan Perz, Paul Smyth, Thomas Van Riet, Bert Vercnocke | Black holes, first-order flow equations and geodesics on symmetric
spaces | 6 pages, contribution to the proceedings of the 4th RTN Workshop
'Constituents, Fundamental Forces and Symmetries of the Universe', Varna,
11-17 September 2008; v2: a reference added | Fortsch.Phys.57:659-665,2009 | 10.1002/prop.200900024 | KUL-TF-09/01, UUITP-03/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For both extremal and non-extremal spherically symmetric black holes in
theories with massless scalars and vectors coupled to gravity, we derive a
general form of first-order gradient flow equations, equivalent to the
equations of motion. For theories that have a symmetric moduli space after a
dimensional reduction over the timelike direction, we discuss the condition for
such a gradient flow to exist.
This note reviews the results of arXiv:0810.1528 [hep-th].
| [
{
"created": "Wed, 28 Jan 2009 20:45:39 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2009 16:10:07 GMT",
"version": "v2"
}
] | 2009-06-08 | [
[
"Perz",
"Jan",
""
],
[
"Smyth",
"Paul",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Vercnocke",
"Bert",
""
]
] | For both extremal and non-extremal spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity, we derive a general form of first-order gradient flow equations, equivalent to the equations of motion. For theories that have a symmetric moduli space after a dimensional reduction over the timelike direction, we discuss the condition for such a gradient flow to exist. This note reviews the results of arXiv:0810.1528 [hep-th]. |
hep-th/0506226 | Andreas Fring | Andreas Fring and Christian Korff | Affine Toda field theories related to Coxeter groups of
non-crystallographic type | 28 pages LaTeX | Nucl.Phys. B729 (2005) 361-386 | 10.1016/j.nuclphysb.2005.08.044 | City CMS 0405 | hep-th | null | We propose affine Toda field theories related to the non-crystallographic
Coxeter groups H_2, H_3 and H_4. The classical mass spectrum, the classical
three-point couplings and the one-loop corrections to the mass renormalisation
are determined. The construction is carried out by means of a reduction
procedure from crystallographic to non-crystallographic Coxeter groups. The
embedding structure explains for various affine Toda field theories that their
particles can be organised in pairs, such that their relative masses differ by
the golden ratio.
| [
{
"created": "Mon, 27 Jun 2005 16:52:45 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2005 16:35:36 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Fring",
"Andreas",
""
],
[
"Korff",
"Christian",
""
]
] | We propose affine Toda field theories related to the non-crystallographic Coxeter groups H_2, H_3 and H_4. The classical mass spectrum, the classical three-point couplings and the one-loop corrections to the mass renormalisation are determined. The construction is carried out by means of a reduction procedure from crystallographic to non-crystallographic Coxeter groups. The embedding structure explains for various affine Toda field theories that their particles can be organised in pairs, such that their relative masses differ by the golden ratio. |
hep-th/0605292 | Steven Gubser | Joshua J. Friess, Steven S. Gubser, and Georgios Michalogiorgakis | Dissipation from a heavy quark moving through N=4 super-Yang-Mills
plasma | 17 pages, 2 figures. v2: reference added, other minor improvements.
v3: improved the phrasing describing directional structures | JHEP 0609 (2006) 072 | 10.1088/1126-6708/2006/09/072 | PUPT-2199 | hep-th hep-ph | null | Using AdS/CFT, we compute the Fourier space profile of <tr F^2> generated by
a heavy quark moving through a thermal plasma of strongly coupled N=4
super-Yang-Mills theory. We find evidence of a wake whose description includes
gauge fields with large momenta. We comment on the possible relevance of our
results to relativistic heavy ion collisions.
| [
{
"created": "Wed, 31 May 2006 15:51:47 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2006 17:07:56 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Aug 2006 12:06:10 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Friess",
"Joshua J.",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Michalogiorgakis",
"Georgios",
""
]
] | Using AdS/CFT, we compute the Fourier space profile of <tr F^2> generated by a heavy quark moving through a thermal plasma of strongly coupled N=4 super-Yang-Mills theory. We find evidence of a wake whose description includes gauge fields with large momenta. We comment on the possible relevance of our results to relativistic heavy ion collisions. |
hep-th/9906115 | Zinn Justin | Jean Zinn-Justin (CEA-Saclay, Service de Physique Theorique) | Renormalization of gauge theories and master equation | 9 pages, TeX, with private macros: zmacxxx.tex, lfont.tex | Mod.Phys.Lett.A14:1227-1236,1999 | 10.1142/S0217732399001322 | T99/058 | hep-th | null | The evolution of ideas which has led from the first proofs of the
renormalizability of non-abelian gauge theories, based on Slavnov--Taylor
identities, to the modern proof based on the BRS symmetry and the master
equation is recalled. This lecture has been delivered at the {\bf Symposium in
the Honour of Professor C. N. Yang}, Stony-Brook, May 21-22 1999.
| [
{
"created": "Tue, 15 Jun 1999 16:36:20 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Zinn-Justin",
"Jean",
"",
"CEA-Saclay, Service de Physique Theorique"
]
] | The evolution of ideas which has led from the first proofs of the renormalizability of non-abelian gauge theories, based on Slavnov--Taylor identities, to the modern proof based on the BRS symmetry and the master equation is recalled. This lecture has been delivered at the {\bf Symposium in the Honour of Professor C. N. Yang}, Stony-Brook, May 21-22 1999. |
1606.04410 | Alex Bernardini Dr. | Mariana Chinaglia, Alex E. Bernardini and Roldao da Rocha | Braneworld scenarios from deformed defect chains | 22 pages, 7 figures | Int. J. Theor. Phys. 55 (2016) 4605 | 10.1007/s10773-016-3082-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Novel braneworld scenarios supported by warp factors driven by a single extra
dimension are obtained from deformed one-dimensional lump-like solutions known
{\em a priori}. Through a novel {\em ansatz}, the internal energy structure,
the braneworld warp factor, and the quantum mechanical analogue problem, as
well as the associated zero mode solutions, are straightforwardly derived by
means of an analytical procedure. The results allow one to identify thick brane
solutions that support internal structures and that can hold the
($3+1$)-dimensional gravity.
| [
{
"created": "Tue, 14 Jun 2016 15:03:51 GMT",
"version": "v1"
}
] | 2016-09-20 | [
[
"Chinaglia",
"Mariana",
""
],
[
"Bernardini",
"Alex E.",
""
],
[
"da Rocha",
"Roldao",
""
]
] | Novel braneworld scenarios supported by warp factors driven by a single extra dimension are obtained from deformed one-dimensional lump-like solutions known {\em a priori}. Through a novel {\em ansatz}, the internal energy structure, the braneworld warp factor, and the quantum mechanical analogue problem, as well as the associated zero mode solutions, are straightforwardly derived by means of an analytical procedure. The results allow one to identify thick brane solutions that support internal structures and that can hold the ($3+1$)-dimensional gravity. |
hep-th/0703071 | Qing-Guo Huang | Qing-Guo Huang | Weak gravity conjecture constraints on inflation | 11 pages, 3 figs; monor corrections; some clarifying remarks added
and the final version for publication in JHEP | JHEP 0705:096,2007 | 10.1088/1126-6708/2007/05/096 | null | hep-th | null | We consider the gravitational correction to the coupling of the scalar
fields. Weak gravity conjecture says that the gravitational correction to the
running of scalar coupling should be less than the contribution from scalar
fields. For instance, a new scale $\Lambda=\lambda_4^{1/2}M_p$ sets a UV cutoff
on the validity of the effective $\lambda_4 \phi^4$ theory. Furthermore, this
conjecture implies a possible constraint on the inflation model, e.g. the
chaotic inflation model might be in the swampland.
| [
{
"created": "Thu, 8 Mar 2007 01:27:08 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2007 06:31:59 GMT",
"version": "v2"
},
{
"created": "Sat, 26 May 2007 00:30:48 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Huang",
"Qing-Guo",
""
]
] | We consider the gravitational correction to the coupling of the scalar fields. Weak gravity conjecture says that the gravitational correction to the running of scalar coupling should be less than the contribution from scalar fields. For instance, a new scale $\Lambda=\lambda_4^{1/2}M_p$ sets a UV cutoff on the validity of the effective $\lambda_4 \phi^4$ theory. Furthermore, this conjecture implies a possible constraint on the inflation model, e.g. the chaotic inflation model might be in the swampland. |
1908.11259 | Emilio Torrente-Lujan | E. Torrente-Lujan | Smarr Mass formulas for BPS multicenter Black Holes | null | Physics Letters B Volume 798, 10 November 2019, 135019 | 10.1016/j.physletb.2019.135019 | FISPAC-TH/19-271,UQBAR-TH/19-3141 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mass formulas for multicenter BPS 4D black holes are presented. For example,
ADM mass for a two center BPS solution can be related to the intercencenter
distance $r$, the angular momentum $J^2$, the dyonic charge vectors $q_i$ and
the value of the scalar moduli at infinity ($z_\infty$)by $M_{ADM}^2 =A\left
(1+ \alpha J^2\left(1+\frac{2M_{ADM}}{r}+\frac{A}{r^2}\right)\right)$ where
$A(Q),\alpha(q_i)$ are symplectic invariant quantities ($Q$, the total charge
vector) depending on the special geometry prepotential defining the theory. The
formula predicts the existence of a continuos class, for fixed value of the
charges, of BH's with interdistances $r\in (0,\infty)$ and $M_{ADM}\in
(\infty,M_\infty)$. Smarr-like expressions incorporating the intercenter
distance are obtained from it: $$ dM\equiv\Omega d J+\Phi_i d q_i+ F dr,$$ in
addition to an effective angular velocity $\Omega$ and electromagnetic
potentials $\Phi_i$, the equation allows to define an effective "force", $F$,
acting between the centers. This effective force is always negative: at
infinity we recover the familiar Newton law $F\sim 1/r^2$ while at short
distances $F\sim f_0+f_1/r^2$. Similar results can be easily obtained for more
general models and number of centers.
| [
{
"created": "Thu, 29 Aug 2019 14:35:20 GMT",
"version": "v1"
}
] | 2019-10-22 | [
[
"Torrente-Lujan",
"E.",
""
]
] | Mass formulas for multicenter BPS 4D black holes are presented. For example, ADM mass for a two center BPS solution can be related to the intercencenter distance $r$, the angular momentum $J^2$, the dyonic charge vectors $q_i$ and the value of the scalar moduli at infinity ($z_\infty$)by $M_{ADM}^2 =A\left (1+ \alpha J^2\left(1+\frac{2M_{ADM}}{r}+\frac{A}{r^2}\right)\right)$ where $A(Q),\alpha(q_i)$ are symplectic invariant quantities ($Q$, the total charge vector) depending on the special geometry prepotential defining the theory. The formula predicts the existence of a continuos class, for fixed value of the charges, of BH's with interdistances $r\in (0,\infty)$ and $M_{ADM}\in (\infty,M_\infty)$. Smarr-like expressions incorporating the intercenter distance are obtained from it: $$ dM\equiv\Omega d J+\Phi_i d q_i+ F dr,$$ in addition to an effective angular velocity $\Omega$ and electromagnetic potentials $\Phi_i$, the equation allows to define an effective "force", $F$, acting between the centers. This effective force is always negative: at infinity we recover the familiar Newton law $F\sim 1/r^2$ while at short distances $F\sim f_0+f_1/r^2$. Similar results can be easily obtained for more general models and number of centers. |
hep-th/0405278 | Sergei V. Ketov | Sergei V. Ketov and Shin Sasaki | Non-anticommutative N=2 supersymmetric SU(2) gauge theory | 9 pages, LaTeX, one figure; a reference added | Phys.Lett. B597 (2004) 105-111 | 10.1016/j.physletb.2004.06.107 | null | hep-th | null | We calculate the component Lagrangian of a four-dimensional
non-anticommutative (with a singlet deformation parameter) and fully N=2
supersymmetric gauge field theory with the simple gauge group SU(2). We find
that the deformed (classical) scalar potential is unbounded from below, in
contrast to the undeformed case.
| [
{
"created": "Sun, 30 May 2004 11:10:58 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2004 04:38:48 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ketov",
"Sergei V.",
""
],
[
"Sasaki",
"Shin",
""
]
] | We calculate the component Lagrangian of a four-dimensional non-anticommutative (with a singlet deformation parameter) and fully N=2 supersymmetric gauge field theory with the simple gauge group SU(2). We find that the deformed (classical) scalar potential is unbounded from below, in contrast to the undeformed case. |
1511.02114 | Mohammad Nouri-Zonoz | Javad Koohbor, Mohammad Nouri-Zonoz and Alireza Tavanfar | Hawking modes and the optimal disperser : Holographic lessons from the
observer's causal-patch unitarity | 41 pages, Replaced with the published version | J. Phys. Commun. 2 (2018) 045027 | 10.1088/2399-6528/aab8e0 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on an observer-centric methodology, we pinpoint the basic origin of the
spectral Planckianity of the asymptotic Hawking modes in the conventional
treatments of the evaporating horizons. By considering an observer who analyzes
a causal horizon in a generic spacetime, we first clarify how the asymptotic
Planckian spectrum is imposed on the exponentially redshifted Hawking modes
through a geometric dispersion mechanism developed by a semiclassical
environment which is composed by all the modes that build up the curvature of
the causal patch of the asymptotic observer. We also discuss the actual
microscopic phenomenon of the Hawking evaporation of generic causal horizons.
Our quantum description is based on a novel holographic scheme of gravitational
open quantum systems in which the degrees of freedom that build up the
curvature of the observer's causal patch interact with the radiated Hawking
modes, initially as environmental quanta, and after a crossover time, as
quantum defects. Planckian dispersion of the modes would only be developed in
the strict thermodynamic limit of this quantum environment, called optimal
disperser, which is nevertheless avoided holographically. Finally, we outline
and characterize how our microscopic formulation of the observer-centric
holography, beyond the AdS/CFT examples and for generic causal patches, does
realize the information-theoretic processing of unitarity.
| [
{
"created": "Mon, 26 Oct 2015 20:35:43 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2016 14:01:36 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Apr 2017 13:54:32 GMT",
"version": "v3"
},
{
"created": "Tue, 23 May 2017 15:44:26 GMT",
"version": "v4"
},
{
"created": "Tue, 24 Apr 2018 13:38:33 GMT",
"version": "v5"
}
] | 2018-04-26 | [
[
"Koohbor",
"Javad",
""
],
[
"Nouri-Zonoz",
"Mohammad",
""
],
[
"Tavanfar",
"Alireza",
""
]
] | Based on an observer-centric methodology, we pinpoint the basic origin of the spectral Planckianity of the asymptotic Hawking modes in the conventional treatments of the evaporating horizons. By considering an observer who analyzes a causal horizon in a generic spacetime, we first clarify how the asymptotic Planckian spectrum is imposed on the exponentially redshifted Hawking modes through a geometric dispersion mechanism developed by a semiclassical environment which is composed by all the modes that build up the curvature of the causal patch of the asymptotic observer. We also discuss the actual microscopic phenomenon of the Hawking evaporation of generic causal horizons. Our quantum description is based on a novel holographic scheme of gravitational open quantum systems in which the degrees of freedom that build up the curvature of the observer's causal patch interact with the radiated Hawking modes, initially as environmental quanta, and after a crossover time, as quantum defects. Planckian dispersion of the modes would only be developed in the strict thermodynamic limit of this quantum environment, called optimal disperser, which is nevertheless avoided holographically. Finally, we outline and characterize how our microscopic formulation of the observer-centric holography, beyond the AdS/CFT examples and for generic causal patches, does realize the information-theoretic processing of unitarity. |
hep-th/9910005 | E. Umezawa | Shigefumi Naka, Shinji Abe, Eizou Umezawa, Tetsu Matsufuji | Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry | 15 pages, Latex file,4 eps figures, minor changes | Prog.Theor.Phys. 103 (2000) 411 | 10.1143/PTP.103.411 | NUP-A-99-16 | hep-th | null | The bi-local model of hadrons is studied from the viewpoint of
non-commutative geometry formulated so that Higgs-like scalar fields play the
role of a bridge, the bi-local fields, connecting different spacetime points.
We show that the resultant action for Higgs-like scalar fields has a structure
similar to that of the linear sigma model. According to this formalism, we can
deduce the dual nature of meson fields as the Nambu-Goldstone bosons associated
with chiral symmetry breaking and bound states of quarks.
| [
{
"created": "Fri, 1 Oct 1999 10:54:45 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 1999 08:28:51 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Feb 2000 11:18:46 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Naka",
"Shigefumi",
""
],
[
"Abe",
"Shinji",
""
],
[
"Umezawa",
"Eizou",
""
],
[
"Matsufuji",
"Tetsu",
""
]
] | The bi-local model of hadrons is studied from the viewpoint of non-commutative geometry formulated so that Higgs-like scalar fields play the role of a bridge, the bi-local fields, connecting different spacetime points. We show that the resultant action for Higgs-like scalar fields has a structure similar to that of the linear sigma model. According to this formalism, we can deduce the dual nature of meson fields as the Nambu-Goldstone bosons associated with chiral symmetry breaking and bound states of quarks. |
hep-th/9711108 | Nikita Nekrasov | Andrei Losev, Nikita Nekrasov and Samson Shatashvili | Issues in Topological Gauge Theory | 72 pp., Harvmac (b) mode, some typos corrected, reference added | Nucl.Phys.B534:549-611,1998 | 10.1016/S0550-3213(98)00628-2 | HUTP-97/A064,ITEP-TH-49/97,YCTP-P22-97 | hep-th | null | We discuss topological theories, arising from the general $\mathcal{N}=2$
twisted gauge theories. We initiate a program of their study in the
Gromov-Witten paradigm. We re-examine the low-energy effective abelian theory
in the presence of sources and study the mixing between the various
$p$-observables. We present the twisted superfield formalism which makes
duality transformations transparent. We propose a scheme which uniquely fixes
all the contact terms. We derive a formula for the correlation functions of
$p$-observables on the manifolds of generalized simple type for $0 \leq p \leq
4$ and on some manifolds with $b_{2}^{+} =1$. We study the theories with matter
and explore the properties of universal instanton. We also discuss the
compactifications of higher dimensional theories. Some relations to sigma
models of type $A$ and $B$ are pointed out and exploited.
| [
{
"created": "Sun, 16 Nov 1997 12:37:20 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 1998 17:42:11 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Losev",
"Andrei",
""
],
[
"Nekrasov",
"Nikita",
""
],
[
"Shatashvili",
"Samson",
""
]
] | We discuss topological theories, arising from the general $\mathcal{N}=2$ twisted gauge theories. We initiate a program of their study in the Gromov-Witten paradigm. We re-examine the low-energy effective abelian theory in the presence of sources and study the mixing between the various $p$-observables. We present the twisted superfield formalism which makes duality transformations transparent. We propose a scheme which uniquely fixes all the contact terms. We derive a formula for the correlation functions of $p$-observables on the manifolds of generalized simple type for $0 \leq p \leq 4$ and on some manifolds with $b_{2}^{+} =1$. We study the theories with matter and explore the properties of universal instanton. We also discuss the compactifications of higher dimensional theories. Some relations to sigma models of type $A$ and $B$ are pointed out and exploited. |
hep-th/0308163 | Alfred Tang | Alfred Tang | Chiral Perturbation on the Lightfront | 6 pages, 7 figures | Fizika B13 (2004) 265-270 | null | null | hep-th | null | A new geometrical interpretation of chiral perturbation theory based on
topological QCD is presented in picture format. This work is a written summary
of a talk given at NAPP 2003 in Dubrovnik, Croatia.
| [
{
"created": "Mon, 25 Aug 2003 05:00:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tang",
"Alfred",
""
]
] | A new geometrical interpretation of chiral perturbation theory based on topological QCD is presented in picture format. This work is a written summary of a talk given at NAPP 2003 in Dubrovnik, Croatia. |
1610.01425 | Luis Fernando Alday | Luis F. Alday and Gregory P. Korchemsky | On instanton effects in the operator product expansion | 22 pages,v2: minor corrections | null | 10.1007/JHEP05(2017)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the computation of instanton effects to various correlation
functions in ${\cal N}=4$ SYM and clarify a controversy existing in the
literature regarding their consistency with the OPE and conformal symmetry. To
check these properties, we examine the conformal partial wave decomposition of
four-point correlators involving combinations of half-BPS and Konishi operators
and isolate the contribution from the conformal primary scalar operators of
twist four. We demonstrate that the leading instanton correction to this
contribution is indeed consistent with conformal symmetry and compute the
corresponding corrections to the OPE coefficients and the scaling dimensions of
such twist-four operators. Our analysis justifies the regularization procedure
used to compute ultraviolet divergent instanton contribution to correlation
functions involving unprotected operators.
| [
{
"created": "Wed, 5 Oct 2016 14:03:37 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2017 10:03:11 GMT",
"version": "v2"
}
] | 2017-06-07 | [
[
"Alday",
"Luis F.",
""
],
[
"Korchemsky",
"Gregory P.",
""
]
] | We revisit the computation of instanton effects to various correlation functions in ${\cal N}=4$ SYM and clarify a controversy existing in the literature regarding their consistency with the OPE and conformal symmetry. To check these properties, we examine the conformal partial wave decomposition of four-point correlators involving combinations of half-BPS and Konishi operators and isolate the contribution from the conformal primary scalar operators of twist four. We demonstrate that the leading instanton correction to this contribution is indeed consistent with conformal symmetry and compute the corresponding corrections to the OPE coefficients and the scaling dimensions of such twist-four operators. Our analysis justifies the regularization procedure used to compute ultraviolet divergent instanton contribution to correlation functions involving unprotected operators. |
hep-th/9302125 | Henrik Aratyn | H. Aratyn, L.A. Ferreira, J.F. Gomes, R.T. Medeiros, and A.H. Zimerman | Generalized Miura Transformations, Two-Boson KP Hierarchies and their
Reduction to KDV Hierarchies | 12 pgs., LaTeX, IFT-P/011/93, UICHEP-TH/93-1 | Mod.Phys.Lett. A8 (1993) 3079-3092 | 10.1142/S0217732393002038 | null | hep-th | null | Bracket preserving gauge equivalence is established between several two-boson
generated KP type of hierarchies. These KP hierarchies reduce under symplectic
reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies.
Under this reduction the gauge equivalence is taking form of the conventional
Miura maps between the above KdV type of hierarchies.
| [
{
"created": "Thu, 25 Feb 1993 18:52:38 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Aratyn",
"H.",
""
],
[
"Ferreira",
"L. A.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Medeiros",
"R. T.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | Bracket preserving gauge equivalence is established between several two-boson generated KP type of hierarchies. These KP hierarchies reduce under symplectic reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies. Under this reduction the gauge equivalence is taking form of the conventional Miura maps between the above KdV type of hierarchies. |
hep-th/9706027 | Kazumi Okuyama | Kazuo Fujikawa and Kazumi Okuyama | On a Lorentz covariant matrix regularization of membrane theories | 12 pages, Latex | Phys.Lett.B411:261-267,1997 | 10.1016/S0370-2693(97)01027-7 | UT-777 | hep-th | null | A Lorentz covariant matrix regularization of membrane thories is studied.It
is shown that the action for a bosonic membrane can be defined by matrix
regularization in a Lorentz covariant manner. The generator of area preserving
diffeomorphism can also be consistently defined by matrix regularization, and
we can make the area preserving gauge symmetry manifest. However, the
reparametrization BRST charge explicitly depends on a specific basis set
introduced to define the matrix regularization. We also briefly comment on an
extension of the present formulation to a supermembrane.
| [
{
"created": "Wed, 4 Jun 1997 08:21:35 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Fujikawa",
"Kazuo",
""
],
[
"Okuyama",
"Kazumi",
""
]
] | A Lorentz covariant matrix regularization of membrane thories is studied.It is shown that the action for a bosonic membrane can be defined by matrix regularization in a Lorentz covariant manner. The generator of area preserving diffeomorphism can also be consistently defined by matrix regularization, and we can make the area preserving gauge symmetry manifest. However, the reparametrization BRST charge explicitly depends on a specific basis set introduced to define the matrix regularization. We also briefly comment on an extension of the present formulation to a supermembrane. |
2201.03572 | Daniel Junghans | Daniel Junghans | LVS de Sitter Vacua are probably in the Swampland | 39 pages, 2 figures. v2: references added. v3: comments added,
published version | null | 10.1016/j.nuclphysb.2023.116179 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that dS vacua in the LARGE-volume scenario of type IIB string theory
are vulnerable to various unsuppressed curvature, warping and $g_s$
corrections. We work out in general how these corrections affect the moduli
vevs, the vacuum energy and the moduli masses in the 4D EFT for the two
K\"ahler moduli, the conifold modulus and a nilpotent superfield describing the
anti-brane uplift. Our analysis reveals that the corrections are parametrically
larger in the relevant expressions than one might have guessed from their
suppression in the off-shell potential. Some corrections appear without any
parametric suppression at all, which makes them particularly dangerous for
candidate dS vacua. Other types of corrections can in principle be made small
for appropriate parameter choices. However, we show in an explicit model that
this is never possible for all corrections at the same time when the vacuum
energy is positive. Some of the corrections we consider are also relevant for
the stability of non-supersymmetric AdS vacua.
| [
{
"created": "Mon, 10 Jan 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 22:05:26 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Apr 2023 18:31:49 GMT",
"version": "v3"
}
] | 2023-04-26 | [
[
"Junghans",
"Daniel",
""
]
] | We argue that dS vacua in the LARGE-volume scenario of type IIB string theory are vulnerable to various unsuppressed curvature, warping and $g_s$ corrections. We work out in general how these corrections affect the moduli vevs, the vacuum energy and the moduli masses in the 4D EFT for the two K\"ahler moduli, the conifold modulus and a nilpotent superfield describing the anti-brane uplift. Our analysis reveals that the corrections are parametrically larger in the relevant expressions than one might have guessed from their suppression in the off-shell potential. Some corrections appear without any parametric suppression at all, which makes them particularly dangerous for candidate dS vacua. Other types of corrections can in principle be made small for appropriate parameter choices. However, we show in an explicit model that this is never possible for all corrections at the same time when the vacuum energy is positive. Some of the corrections we consider are also relevant for the stability of non-supersymmetric AdS vacua. |
hep-th/0010104 | Radu Roiban | Radu Roiban, Warren Siegel | Superstrings on AdS_5 x S^5 supertwistor space | 22 pages, latex; v2: format changed to JHEP, equations 6.10 and 6.11
added, typos in eq: 3.9, 4.10, 6.14, 6.15, 6.19 corrected | JHEP 0011:024,2000 | 10.1088/1126-6708/2000/11/024 | null | hep-th | null | We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version
of the coset superspace construction. By Wick rotations and Lie algebra
identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows
us to represent the conformal transformations on unconstrained matrices. The
derivation is more streamlined even for the bosonic sector, and conformal
symmetry is manifest at every step. Kappa-symmetry gauge fixing is more
transparent.
| [
{
"created": "Thu, 12 Oct 2000 21:04:50 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2000 21:43:31 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Roiban",
"Radu",
""
],
[
"Siegel",
"Warren",
""
]
] | We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the coset to GL(4|4)/(Sp(4) x GL(1))^2, which allows us to represent the conformal transformations on unconstrained matrices. The derivation is more streamlined even for the bosonic sector, and conformal symmetry is manifest at every step. Kappa-symmetry gauge fixing is more transparent. |
1511.04006 | Carlo Ewerz | Carlo Ewerz, Ling Lin, Andreas Samberg, Konrad Schade | Holography for Heavy Quarks and Mesons at Finite Chemical Potential | 10 pages, talk presented by C.E. at 9th International Workshop on
Critical Point and Onset of Deconfinement (CPOD2014), Bielefeld, November
2014, arXiv version contains minor corrections | PoS (CPOD2014) 037 | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of heavy quarks as probes of strongly coupled plasmas
with and without chemical potential by means of the gauge/gravity (AdS/CFT)
duality. We compute the screening distance of a heavy quark-antiquark pair, its
free energy, and the running coupling in large classes of non-conformal models
arising as deformations of pure AdS space. We further investigate the energy
loss of a heavy quark moving on a circular orbit as an example of an
accelerated motion. These observables exhibit universal features independent of
the deformation, pointing to strong-coupling universality. Our results should
be relevant for processes involving heavy quarks and their bound states in the
quark-gluon plasma, including the case of finite net baryon density.
| [
{
"created": "Thu, 12 Nov 2015 18:55:37 GMT",
"version": "v1"
}
] | 2015-11-13 | [
[
"Ewerz",
"Carlo",
""
],
[
"Lin",
"Ling",
""
],
[
"Samberg",
"Andreas",
""
],
[
"Schade",
"Konrad",
""
]
] | We study the properties of heavy quarks as probes of strongly coupled plasmas with and without chemical potential by means of the gauge/gravity (AdS/CFT) duality. We compute the screening distance of a heavy quark-antiquark pair, its free energy, and the running coupling in large classes of non-conformal models arising as deformations of pure AdS space. We further investigate the energy loss of a heavy quark moving on a circular orbit as an example of an accelerated motion. These observables exhibit universal features independent of the deformation, pointing to strong-coupling universality. Our results should be relevant for processes involving heavy quarks and their bound states in the quark-gluon plasma, including the case of finite net baryon density. |
hep-th/0101217 | Shahn Majid | S. Majid and T. Schucker | $Z_2\times Z_2$ Lattice as a Connes-Lott-Quantum Group Model | 28 pages latex, no figures | null | 10.1016/S0393-0440(02)00005-0 | null | hep-th math.QA | null | We apply quantum group methods for noncommutative geometry to the $Z_2\times
Z_2$ lattice to obtain a natural Dirac operator on this discrete space. This
then leads to an interpretation of the Higgs fields as the discrete part of
spacetime in the Connes-Lott formalism for elementary particle Lagrangians. The
model provides a setting where both the quantum groups and the Connes approach
to noncommutative geometry can be usefully combined, with some of Connes'
axioms, notably the first-order condition, replaced by algebraic methods based
on the group structure. The noncommutative geometry has nontrivial cohomology
and moduli of flat connections, both of which we compute.
| [
{
"created": "Tue, 30 Jan 2001 21:03:05 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Majid",
"S.",
""
],
[
"Schucker",
"T.",
""
]
] | We apply quantum group methods for noncommutative geometry to the $Z_2\times Z_2$ lattice to obtain a natural Dirac operator on this discrete space. This then leads to an interpretation of the Higgs fields as the discrete part of spacetime in the Connes-Lott formalism for elementary particle Lagrangians. The model provides a setting where both the quantum groups and the Connes approach to noncommutative geometry can be usefully combined, with some of Connes' axioms, notably the first-order condition, replaced by algebraic methods based on the group structure. The noncommutative geometry has nontrivial cohomology and moduli of flat connections, both of which we compute. |
0906.2377 | Edi Halyo | Edi Halyo | Metastable Supersymmetry Breaking Vacua in Abelian Brane Models | 18 pages in phyzzx.tex, typos corrected, 3 references added; ve
description of vacua modified, minor corrections | null | null | SU-ITP-09/28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct Abelian brane models with metastable vacua which are obtained
from deformations of ${\cal N}=2$ supersymmetric brane configurations. One such
model lives on a D4 brane stretched between two displaced and rotated NS5
branes. Another one lives on a D5 brane wrapped on a deformed and fibered $A_2$
singularity.
| [
{
"created": "Fri, 12 Jun 2009 17:15:35 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 2009 17:16:55 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Aug 2009 18:34:08 GMT",
"version": "v3"
}
] | 2009-08-05 | [
[
"Halyo",
"Edi",
""
]
] | We construct Abelian brane models with metastable vacua which are obtained from deformations of ${\cal N}=2$ supersymmetric brane configurations. One such model lives on a D4 brane stretched between two displaced and rotated NS5 branes. Another one lives on a D5 brane wrapped on a deformed and fibered $A_2$ singularity. |
1002.3877 | Ali Chamseddine | Ali H. Chamseddine and Viatcheslav Mukhanov | Higgs for Graviton: Simple and Elegant Solution | 8 pages, References added. The decoupling of ghost state is analyzed
in detail. | JHEP 1008:011,2010 | 10.1007/JHEP08(2010)011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Higgs mechanism for gravity is presented, where four scalars with global
Lorentz symmetry are employed. We show that in the broken symmetry phase a
graviton absorbs all scalars and become massive spin 2 particle with five
degrees of freedom. The resulting theory is unitary and free of ghosts.
| [
{
"created": "Mon, 22 Feb 2010 12:40:12 GMT",
"version": "v1"
},
{
"created": "Sun, 9 May 2010 14:32:45 GMT",
"version": "v2"
}
] | 2013-10-18 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Mukhanov",
"Viatcheslav",
""
]
] | A Higgs mechanism for gravity is presented, where four scalars with global Lorentz symmetry are employed. We show that in the broken symmetry phase a graviton absorbs all scalars and become massive spin 2 particle with five degrees of freedom. The resulting theory is unitary and free of ghosts. |
1907.01852 | Subhash Chandra Mahapatra | Hardik Bohra, David Dudal, Ali Hajilou, Subhash Mahapatra | Anisotropic string tensions and inversely magnetic catalyzed
deconfinement from a dynamical AdS/QCD model | 13 pages, 18 figures, references and appendix added, minor changes
and improved discussion, published version | Phys. Lett. B 801 (2020) 135184 | 10.1016/j.physletb.2019.135184 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend previous work on dynamical AdS/QCD models by introducing an extra
ingredient under the form of a background magnetic field, this to gain insight
into the influence such field can have on crucial QCD observables. Therefore,
we construct a closed form analytic solution to an Einstein-Maxwell-dilaton
system with a magnetic field. We specifically focus on the deconfinement
transition, reporting inverse magnetic catalysis, and on the string tension,
reporting a weaker/stronger confinement along/perpendicular to the magnetic
field. The latter, being of importance to potential modelling of heavy
quarkonia, is in qualitative agreement with lattice findings.
| [
{
"created": "Wed, 3 Jul 2019 11:09:11 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2020 12:44:46 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Bohra",
"Hardik",
""
],
[
"Dudal",
"David",
""
],
[
"Hajilou",
"Ali",
""
],
[
"Mahapatra",
"Subhash",
""
]
] | We extend previous work on dynamical AdS/QCD models by introducing an extra ingredient under the form of a background magnetic field, this to gain insight into the influence such field can have on crucial QCD observables. Therefore, we construct a closed form analytic solution to an Einstein-Maxwell-dilaton system with a magnetic field. We specifically focus on the deconfinement transition, reporting inverse magnetic catalysis, and on the string tension, reporting a weaker/stronger confinement along/perpendicular to the magnetic field. The latter, being of importance to potential modelling of heavy quarkonia, is in qualitative agreement with lattice findings. |
0709.3555 | Assaf Shomer | Assaf Shomer | A pedagogical explanation for the non-renormalizability of gravity | 10 pages, 4 figures, Latex. V2: typos corrected, some emphasis and
clarifications added | null | null | null | hep-th gr-qc hep-ph | null | We present a short and intuitive argument explaining why gravity is
non-renormalizable. The argument is based on black-hole domination of the high
energy spectrum of gravity and not on the standard perturbative irrelevance of
the gravitational coupling. This is a pedagogical note, containing textbook
material that is widely appreciated by experts and is by no means original.
| [
{
"created": "Sat, 22 Sep 2007 00:59:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2007 20:26:33 GMT",
"version": "v2"
}
] | 2007-12-03 | [
[
"Shomer",
"Assaf",
""
]
] | We present a short and intuitive argument explaining why gravity is non-renormalizable. The argument is based on black-hole domination of the high energy spectrum of gravity and not on the standard perturbative irrelevance of the gravitational coupling. This is a pedagogical note, containing textbook material that is widely appreciated by experts and is by no means original. |
2306.05683 | Igor Samsonov | V.V. Flambaum and I.B. Samsonov | A multishell solution in the Skyrme model | 5 pages, 1 figure | null | 10.1103/PhysRevD.108.014037 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider multishell configurations in the Skyrme model within the rational
map ansatz. We show that equations for the Skyrme field are linearized in the
limit of large number of shells, thus allowing for a simple analytic solution.
Although this solution is approximate, it provides an accurate description of
multishell configurations in the Skyrme model in the region where the Skyrme
field is large, $F\gg1$. We use this solution to calculate the mass and the
root mean square radius of multishell skyrmion configurations. In particular,
for solutions with one unit of baryon charge per shell (the ``hedgehog''
solution) the mass scales as $M\propto B^2$, and its rms radius scales as
$B^{1/2}$ with the baryon charge $B$. This scaling for the mass can be reduced
to $M\propto B^{4/3}$ in the model with many units of baryon charge per shell.
Although this solution is unstable against decays into single-shell or
single-skyrmion configurations, it may be useful for modelling skyrmion stars
or compact composite objects in some models of dark matter if the decay of such
configurations is prevented by some mechanism.
| [
{
"created": "Fri, 9 Jun 2023 05:53:09 GMT",
"version": "v1"
}
] | 2023-08-09 | [
[
"Flambaum",
"V. V.",
""
],
[
"Samsonov",
"I. B.",
""
]
] | We consider multishell configurations in the Skyrme model within the rational map ansatz. We show that equations for the Skyrme field are linearized in the limit of large number of shells, thus allowing for a simple analytic solution. Although this solution is approximate, it provides an accurate description of multishell configurations in the Skyrme model in the region where the Skyrme field is large, $F\gg1$. We use this solution to calculate the mass and the root mean square radius of multishell skyrmion configurations. In particular, for solutions with one unit of baryon charge per shell (the ``hedgehog'' solution) the mass scales as $M\propto B^2$, and its rms radius scales as $B^{1/2}$ with the baryon charge $B$. This scaling for the mass can be reduced to $M\propto B^{4/3}$ in the model with many units of baryon charge per shell. Although this solution is unstable against decays into single-shell or single-skyrmion configurations, it may be useful for modelling skyrmion stars or compact composite objects in some models of dark matter if the decay of such configurations is prevented by some mechanism. |
1406.1865 | Yi Yang | Yi Yang, Pei-Hung Yuan | A Refined Holographic QCD Model and QCD Phase Structure | 21 pages, 17 figures. arXiv admin note: substantial text overlap with
arXiv:1301.0385 | null | 10.1007/JHEP11(2014)149 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic
gauge function and a dilaton potential. A family of analytic solutions is
obtained by the potential reconstruction method. We then study its holographic
dual QCD model. The kinetic gauge function can be fixed by requesting the
linear Regge spectrum of mesons. We calculate the free energy to obtain the
phase diagram of the holographic QCD model.
| [
{
"created": "Sat, 7 Jun 2014 06:25:08 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Yang",
"Yi",
""
],
[
"Yuan",
"Pei-Hung",
""
]
] | We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. The kinetic gauge function can be fixed by requesting the linear Regge spectrum of mesons. We calculate the free energy to obtain the phase diagram of the holographic QCD model. |
hep-th/0105093 | Youm Donam | Donam Youm | The Cardy-Verlinde Formula and Topological AdS-Schwarzschild Black Holes | 9 pages, LaTeX, reference added | Phys.Lett. B515 (2001) 170-174 | 10.1016/S0370-2693(01)00845-0 | IC/2001/32 | hep-th | null | We consider the brane universe in the background of the topological
AdS-Schwarzschild black holes. The induced geometry of the brane is that of a
flat or an open radiation dominated FRW-universe. Just like the case of a
closed radiation dominated FRW-universe, the temperature and entropy are simply
expressed in terms of the Hubble parameter and its time derivative when the
brane crosses the black hole horizon. We propose the modified Cardy-Verlinde
formula which is valid for any values of the curvature parameter k in the
Friedmann equations.
| [
{
"created": "Thu, 10 May 2001 15:35:02 GMT",
"version": "v1"
},
{
"created": "Mon, 14 May 2001 11:55:36 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jul 2001 09:30:13 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Youm",
"Donam",
""
]
] | We consider the brane universe in the background of the topological AdS-Schwarzschild black holes. The induced geometry of the brane is that of a flat or an open radiation dominated FRW-universe. Just like the case of a closed radiation dominated FRW-universe, the temperature and entropy are simply expressed in terms of the Hubble parameter and its time derivative when the brane crosses the black hole horizon. We propose the modified Cardy-Verlinde formula which is valid for any values of the curvature parameter k in the Friedmann equations. |
2003.07895 | Ziming Ji | Matthew Heydeman, Christian B. Jepsen, Ziming Ji, Amos Yarom | Renormalization and conformal invariance of non-local quantum
electrodynamics | 39 pages, 1 figure | null | 10.1007/JHEP08(2020)007 | PUPT-2613 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study renormalization group flow in a non-local version of quantum
electrodynamics (QED). We determine the regime in which the theory flows to a
local theory in the infrared and study a possible UV completion of
four-dimensional QED. In addition, we find that there exist non-local conformal
theories with a one-dimensional conformal manifold and non-local deformations
of QED in three dimensions that are exactly marginal. Along the way we develop
methods for coupling non-local derivatives to external sources and discuss
unitarity and conformal vs. scale invariance of these theories.
| [
{
"created": "Tue, 17 Mar 2020 19:09:06 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Heydeman",
"Matthew",
""
],
[
"Jepsen",
"Christian B.",
""
],
[
"Ji",
"Ziming",
""
],
[
"Yarom",
"Amos",
""
]
] | We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In addition, we find that there exist non-local conformal theories with a one-dimensional conformal manifold and non-local deformations of QED in three dimensions that are exactly marginal. Along the way we develop methods for coupling non-local derivatives to external sources and discuss unitarity and conformal vs. scale invariance of these theories. |
hep-th/9706041 | Beatriz Gato-Rivera | Beatriz Gato-Rivera and Jose Ignacio Rosado | Chiral Determinant Formulae and Subsingular Vectors for the N=2
Superconformal Algebras | Latex, 36 pages. Minor improvements in some paragraphs, typo in
eq.(5.10) corrected, ref.[23] corrected and some references added. Very
similar to the version published in Nucl. Phys. B503 (97) 447 | Nucl.Phys. B503 (1997) 447-478 | 10.1016/S0550-3213(97)00473-2 | IMAFF-FM-97/02, NIKHEF-97-022 | hep-th alg-geom funct-an math-ph math.AG math.FA math.MP math.QA q-alg | null | We derive conjectures for the N=2 "chiral" determinant formulae of the
Topological algebra, the Antiperiodic NS algebra, and the Periodic R algebra,
corresponding to incomplete Verma modules built on chiral topological
primaries, chiral and antichiral NS primaries, and Ramond ground states,
respectively. Our method is based on the analysis of the singular vectors in
chiral Verma modules and their spectral flow symmetries, together with some
computer exploration and some consistency checks. In addition, and as a
consequence, we uncover the existence of subsingular vectors in these algebras,
giving examples (subsingular vectors are non-highest-weight null vectors which
are not descendants of any highest-weight singular vectors).
| [
{
"created": "Fri, 6 Jun 1997 00:08:37 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 1997 12:21:45 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Gato-Rivera",
"Beatriz",
""
],
[
"Rosado",
"Jose Ignacio",
""
]
] | We derive conjectures for the N=2 "chiral" determinant formulae of the Topological algebra, the Antiperiodic NS algebra, and the Periodic R algebra, corresponding to incomplete Verma modules built on chiral topological primaries, chiral and antichiral NS primaries, and Ramond ground states, respectively. Our method is based on the analysis of the singular vectors in chiral Verma modules and their spectral flow symmetries, together with some computer exploration and some consistency checks. In addition, and as a consequence, we uncover the existence of subsingular vectors in these algebras, giving examples (subsingular vectors are non-highest-weight null vectors which are not descendants of any highest-weight singular vectors). |
1910.12123 | Dean Carmi | Dean Carmi, Simon Caron-Huot | A Conformal Dispersion Relation: Correlations from Absorption | minor corrections, 35+6 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the analog of Kramers-Kronig dispersion relations for
correlators of four scalar operators in an arbitrary conformal field theory.
The correlator is expressed as an integral over its 'absorptive part', defined
as a double discontinuity, times a theory-independent kernel which we compute
explicitly. The kernel is found by resumming the data obtained by the
Lorentzian inversion formula. For scalars of equal scaling dimensions, it is a
remarkably simple function (elliptic integral function) of two pairs of
cross-ratios. We perform various checks of the dispersion relation (generalized
free fields, holographic theories at tree-level, 3D Ising model), and get
perfect matching. Finally, we derive an integral relation that relates the
'inverted' conformal block with the ordinary conformal block.
| [
{
"created": "Sat, 26 Oct 2019 19:30:05 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2020 01:08:37 GMT",
"version": "v2"
}
] | 2020-07-06 | [
[
"Carmi",
"Dean",
""
],
[
"Caron-Huot",
"Simon",
""
]
] | We introduce the analog of Kramers-Kronig dispersion relations for correlators of four scalar operators in an arbitrary conformal field theory. The correlator is expressed as an integral over its 'absorptive part', defined as a double discontinuity, times a theory-independent kernel which we compute explicitly. The kernel is found by resumming the data obtained by the Lorentzian inversion formula. For scalars of equal scaling dimensions, it is a remarkably simple function (elliptic integral function) of two pairs of cross-ratios. We perform various checks of the dispersion relation (generalized free fields, holographic theories at tree-level, 3D Ising model), and get perfect matching. Finally, we derive an integral relation that relates the 'inverted' conformal block with the ordinary conformal block. |
2211.09190 | Sebastian Waeber | Sebastian Waeber, Laurence G. Yaffe | Colliding localized, lumpy holographic shocks with a granular nuclear
structure | 25 pages, 13 figures, figures 7,8,11,12 were added, introduction,
result section and conclusion were expanded, typos were fixed | null | 10.1007/JHEP03(2023)208 | null | hep-th gr-qc hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | We apply a recent and simple technique which speeds up the calculation of
localized collisions in holography to study more realistic models of heavy ion
collisions via the gauge/gravity duality. The initial data takes into account
the lumpy nuclear structure of real heavy ions and the projectiles' aspect
ratio mimics the Lorentz contraction of nuclei during RHIC collisions. At the
hydrodynamization time of the central region of the quark gluon plasma
developed during the collision, we find that most of the vorticity three
vector's absolute value is deposited far away from the hydrodynamized part of
the plasma. Only the relativistic corrections to the thermal vorticity in the
hydrodynamized region are non-negligible. We compare the transverse flow after
the collision determined in this work with previous results, without granular
initial conditions and determine the proper energy density and fluid velocity
in a hydrodynamized subregion of the plasma.
| [
{
"created": "Wed, 16 Nov 2022 20:15:49 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2023 17:33:14 GMT",
"version": "v2"
}
] | 2023-04-12 | [
[
"Waeber",
"Sebastian",
""
],
[
"Yaffe",
"Laurence G.",
""
]
] | We apply a recent and simple technique which speeds up the calculation of localized collisions in holography to study more realistic models of heavy ion collisions via the gauge/gravity duality. The initial data takes into account the lumpy nuclear structure of real heavy ions and the projectiles' aspect ratio mimics the Lorentz contraction of nuclei during RHIC collisions. At the hydrodynamization time of the central region of the quark gluon plasma developed during the collision, we find that most of the vorticity three vector's absolute value is deposited far away from the hydrodynamized part of the plasma. Only the relativistic corrections to the thermal vorticity in the hydrodynamized region are non-negligible. We compare the transverse flow after the collision determined in this work with previous results, without granular initial conditions and determine the proper energy density and fluid velocity in a hydrodynamized subregion of the plasma. |
2007.08888 | Charles Strickland-Constable | Ruben Minasian, Charles Strickland-Constable, Yi Zhang | On symmetries and dynamics of exotic supermultiplets | 77 pages | null | 10.1007/JHEP01(2021)174 | IPhT-t20/047 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Among the allowed representations of extended supersymmetry in six dimensions
there are exotic chiral multiplets that, instead of a graviton, contain
mixed-symmetry spin-2 tensor fields. Notably, an $\mathcal{N}=(4,0)$ multiplet
has a four index exotic graviton and it was conjectured that an interacting
theory based on this multiplet could arise as a strong coupling limit of M
theory compactified on $T^6$. We present an algebraic study of these multiplets
and their possible embedding into the framework of exceptional field theory,
finding in particular that the six-dimensional momenta do not correspond to a
conventional spacetime section. When compactified on a circle, the
six-dimensional multiplets give rise to the same degrees of freedom as
five-dimensional supergravity theories with the same number of supersymmetries.
However, by considering anomalies (computed using the product multiplets
construction) and the generation of Chern-Simons couplings, we find reason to
doubt that their dynamics will agree with the five-dimensional gravity
theories. We propose an alternative picture, similar to F-theory, in which
particular fixed-volume $T^3$-fibered spacetimes play a central role,
suggesting that only on compactification to three-dimensions will one make
contact with the dynamics of supergravity.
| [
{
"created": "Fri, 17 Jul 2020 10:37:29 GMT",
"version": "v1"
}
] | 2021-05-12 | [
[
"Minasian",
"Ruben",
""
],
[
"Strickland-Constable",
"Charles",
""
],
[
"Zhang",
"Yi",
""
]
] | Among the allowed representations of extended supersymmetry in six dimensions there are exotic chiral multiplets that, instead of a graviton, contain mixed-symmetry spin-2 tensor fields. Notably, an $\mathcal{N}=(4,0)$ multiplet has a four index exotic graviton and it was conjectured that an interacting theory based on this multiplet could arise as a strong coupling limit of M theory compactified on $T^6$. We present an algebraic study of these multiplets and their possible embedding into the framework of exceptional field theory, finding in particular that the six-dimensional momenta do not correspond to a conventional spacetime section. When compactified on a circle, the six-dimensional multiplets give rise to the same degrees of freedom as five-dimensional supergravity theories with the same number of supersymmetries. However, by considering anomalies (computed using the product multiplets construction) and the generation of Chern-Simons couplings, we find reason to doubt that their dynamics will agree with the five-dimensional gravity theories. We propose an alternative picture, similar to F-theory, in which particular fixed-volume $T^3$-fibered spacetimes play a central role, suggesting that only on compactification to three-dimensions will one make contact with the dynamics of supergravity. |
1009.2607 | Pierre Gosselin-Lotz | Pierre Gosselin (IF), Herve Mohrbach (FCN, BioPhysStat) | Dirac Particles in a Gravitational Field | null | null | 10.1140/epjc/s10052-011-1739-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The semiclassical approximation for the Hamiltonian of Dirac particles
interacting with an arbitrary gravitational field is investigated. The time
dependence of the metrics leads to new contributions to the in-band energy
operator in comparison to previous works on the static case. In particular we
find a new coupling term between the linear momentum and the spin, as well as
couplings which contribute to the breaking of the particle - antiparticle
symmetry.
| [
{
"created": "Tue, 14 Sep 2010 10:02:47 GMT",
"version": "v1"
}
] | 2015-05-19 | [
[
"Gosselin",
"Pierre",
"",
"IF"
],
[
"Mohrbach",
"Herve",
"",
"FCN, BioPhysStat"
]
] | The semiclassical approximation for the Hamiltonian of Dirac particles interacting with an arbitrary gravitational field is investigated. The time dependence of the metrics leads to new contributions to the in-band energy operator in comparison to previous works on the static case. In particular we find a new coupling term between the linear momentum and the spin, as well as couplings which contribute to the breaking of the particle - antiparticle symmetry. |
1908.04115 | Yongchao Lu | Yongchao L\"u and Joseph A. Minahan | Notes on anomalies, elliptic curves and the BS-D conjecture | 17 pages; v2: References added, matches published version | null | 10.1088/1751-8121/ab5ac3 | UUITP-33/19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider anomaly cancellation for $SU(N)\times SU(2)\times U(1)$ gauge
theories where the left-handed chiral multiplets are in higher $SU(2)$
representations. In particular, if the left-handed quarks and leptons transform
under the triplet representation of $SU(2)$ and if the $U(1)$ gauge group is
compact then up to an overall scaling there is only one possible nontrivial
assignment for the hypercharges if $N=3$, and two if $N=9$. Otherwise there are
infinitely many. We use the Mordell-Weil theorem, Mazur's theorem and the
Cremona elliptic curve database which uses Kolyvagin's theorem on the Birch
Swinnerton-Dyer conjecture to prove these statements.
| [
{
"created": "Mon, 12 Aug 2019 12:35:07 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2019 14:10:45 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Lü",
"Yongchao",
""
],
[
"Minahan",
"Joseph A.",
""
]
] | We consider anomaly cancellation for $SU(N)\times SU(2)\times U(1)$ gauge theories where the left-handed chiral multiplets are in higher $SU(2)$ representations. In particular, if the left-handed quarks and leptons transform under the triplet representation of $SU(2)$ and if the $U(1)$ gauge group is compact then up to an overall scaling there is only one possible nontrivial assignment for the hypercharges if $N=3$, and two if $N=9$. Otherwise there are infinitely many. We use the Mordell-Weil theorem, Mazur's theorem and the Cremona elliptic curve database which uses Kolyvagin's theorem on the Birch Swinnerton-Dyer conjecture to prove these statements. |
1310.4549 | Konstantina Kontoudi | Konstantina Kontoudi and Giuseppe Policastro | Flavor corrections to the entanglement entropy | 17 pages, 1 figure, references added | JHEP 1401 (2014) 043 | 10.1007/JHEP01(2014)043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the holographic entanglement entropy in N=4 SYM coupled to
massive flavor degrees of freedom. The flavors are introduced by putting D7
branes in AdS_5. The resulting geometry including the backreaction of the
branes is known in a perturbation expansion in the ratio N_f/N_c. We consider
the expansion to first order, and compute the entanglement entropy of a region
of the boundary. We consider two different cases for the geometry of the
region: a slab and a ball. We find analytic solutions for the minimal surfaces
in the bulk whose area gives the entropy, and analyze the structure of the UV
divergence and the dependence on the masses. Our results confirm the general
structure that was predicted by free field theory calculations, but with
coefficients that depend on the coupling.
| [
{
"created": "Wed, 16 Oct 2013 23:57:37 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2013 22:29:58 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Kontoudi",
"Konstantina",
""
],
[
"Policastro",
"Giuseppe",
""
]
] | We consider the holographic entanglement entropy in N=4 SYM coupled to massive flavor degrees of freedom. The flavors are introduced by putting D7 branes in AdS_5. The resulting geometry including the backreaction of the branes is known in a perturbation expansion in the ratio N_f/N_c. We consider the expansion to first order, and compute the entanglement entropy of a region of the boundary. We consider two different cases for the geometry of the region: a slab and a ball. We find analytic solutions for the minimal surfaces in the bulk whose area gives the entropy, and analyze the structure of the UV divergence and the dependence on the masses. Our results confirm the general structure that was predicted by free field theory calculations, but with coefficients that depend on the coupling. |
2308.02074 | Alexey Sharapov | Alexey Sharapov and David Shcherbatov | On auxiliary fields and Lagrangians for relativistic wave equations | 17 pages; v2 - minor corrections, references added; v3 - journal
version | J. Phys. A: Math. Theor. 57 (2024) 015210 (22pp) | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We address the problem of the existence of a Lagrangian for a given system of
linear PDEs with constant coefficients. As a subtask, this involves bringing
the system into a pre-Lagrangian form, wherein the number of equations matches
the number of unknowns. We introduce a class of overdetermined systems, called
co-flat, and show that they always admit a pre-Lagrangian form, which can be
explicitly constructed using auxiliary variables. Moreover, we argue that such
systems enjoy pre-Lagrangian formulations without auxiliary variables at all.
As an application of our method, we construct new pre-Lagrangian and Lagrangian
formulations for free massive fields of arbitrary integer spin. In contrast to
the well-known models of Singh and Hagen, our Lagrangians involve much fewer
auxiliary fields.
| [
{
"created": "Thu, 3 Aug 2023 23:02:57 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Aug 2023 23:32:25 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Dec 2023 12:08:30 GMT",
"version": "v3"
}
] | 2023-12-19 | [
[
"Sharapov",
"Alexey",
""
],
[
"Shcherbatov",
"David",
""
]
] | We address the problem of the existence of a Lagrangian for a given system of linear PDEs with constant coefficients. As a subtask, this involves bringing the system into a pre-Lagrangian form, wherein the number of equations matches the number of unknowns. We introduce a class of overdetermined systems, called co-flat, and show that they always admit a pre-Lagrangian form, which can be explicitly constructed using auxiliary variables. Moreover, we argue that such systems enjoy pre-Lagrangian formulations without auxiliary variables at all. As an application of our method, we construct new pre-Lagrangian and Lagrangian formulations for free massive fields of arbitrary integer spin. In contrast to the well-known models of Singh and Hagen, our Lagrangians involve much fewer auxiliary fields. |
1806.10708 | Ignacio Araya | Giorgos Anastasiou, Ignacio J. Araya, Cesar Arias and Rodrigo Olea | Einstein-AdS action, renormalized volume/area and holographic Renyi
entropies | 26 pages, a new appendix added, small clarifications made, accepted
for publication in JHEP | null | 10.1007/JHEP08(2018)136 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We exhibit the equivalence between the renormalized volume of asymptotically
anti-de Sitter (AAdS) Einstein manifolds in four and six dimensions, and their
renormalized Euclidean bulk gravity actions. The action is that of Einstein
gravity, where the renormalization is achieved through the addition of a single
topological term. We generalize this equivalence, proposing an explicit form
for the renormalized volume of higher even-dimensional AAdS Einstein manifolds.
We also show that evaluating the renormalized bulk gravity action on the
conically singular manifold of the replica trick results in an action principle
that corresponds to the renormalized volume of the regular part of the bulk,
plus the renormalized area of a codimension-2 cosmic brane whose tension is
related to the replica index. Renormalized Renyi entropy of odd-dimensional
holographic CFTs can thus be obtained from the renormalized area of the brane
with finite tension, including the effects of its backreaction on the bulk
geometry. The area computation corresponds to an extremization problem for an
enclosing surface that extends to the AdS boundary,where the newly defined
renormalized volume is considered.
| [
{
"created": "Wed, 27 Jun 2018 23:02:15 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Aug 2018 15:13:32 GMT",
"version": "v2"
}
] | 2018-09-26 | [
[
"Anastasiou",
"Giorgos",
""
],
[
"Araya",
"Ignacio J.",
""
],
[
"Arias",
"Cesar",
""
],
[
"Olea",
"Rodrigo",
""
]
] | We exhibit the equivalence between the renormalized volume of asymptotically anti-de Sitter (AAdS) Einstein manifolds in four and six dimensions, and their renormalized Euclidean bulk gravity actions. The action is that of Einstein gravity, where the renormalization is achieved through the addition of a single topological term. We generalize this equivalence, proposing an explicit form for the renormalized volume of higher even-dimensional AAdS Einstein manifolds. We also show that evaluating the renormalized bulk gravity action on the conically singular manifold of the replica trick results in an action principle that corresponds to the renormalized volume of the regular part of the bulk, plus the renormalized area of a codimension-2 cosmic brane whose tension is related to the replica index. Renormalized Renyi entropy of odd-dimensional holographic CFTs can thus be obtained from the renormalized area of the brane with finite tension, including the effects of its backreaction on the bulk geometry. The area computation corresponds to an extremization problem for an enclosing surface that extends to the AdS boundary,where the newly defined renormalized volume is considered. |
1007.2250 | Denny Mauricio de Oliveira | D. M. Oliveira | Induced Chern-Simons Like Action by Lorentz Symmetry Breaking in (3+1)D
QED | 10 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, the induced Chern-Simons like action for a system of fermions
interacting with a gauge field in (3 +1) dimensions is calculated in the
presence of a background field that breaks the Lorentz and CPT symmetries. The
main result of this work corresponds to the obtation of a usual
Chern-Simons-type action in four-dimensional spacetime resulting from the
addition to the conventional QED Lagrangian of a term with a background field
that breaks the Lorentz symmetry of the Lagrangian gauge theory. It is pointed
out that the proportionality constant in that term depends heavily on the
regularization method used in the computations. As the articles on this subject
in the literature are very difficult to read, here calculations are performed
clearly and objectively.
| [
{
"created": "Wed, 14 Jul 2010 04:20:19 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2017 15:46:32 GMT",
"version": "v2"
}
] | 2017-03-20 | [
[
"Oliveira",
"D. M.",
""
]
] | In this paper, the induced Chern-Simons like action for a system of fermions interacting with a gauge field in (3 +1) dimensions is calculated in the presence of a background field that breaks the Lorentz and CPT symmetries. The main result of this work corresponds to the obtation of a usual Chern-Simons-type action in four-dimensional spacetime resulting from the addition to the conventional QED Lagrangian of a term with a background field that breaks the Lorentz symmetry of the Lagrangian gauge theory. It is pointed out that the proportionality constant in that term depends heavily on the regularization method used in the computations. As the articles on this subject in the literature are very difficult to read, here calculations are performed clearly and objectively. |
1906.10148 | Lorenzo Papini | Davide Cassani and Lorenzo Papini | The BPS limit of rotating AdS black hole thermodynamics | 51 pages; v3: new appendix on Legendre transform of the general
entropy function (6.1), matches published version | JHEP 09 (2019) 079 | 10.1007/JHEP09(2019)079 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider rotating, electrically charged, supersymmetric AdS black holes in
four, five, six and seven dimensions, and provide a derivation of the
respective extremization principles stating that the Bekenstein-Hawking entropy
is the Legendre transform of a homogeneous function of chemical potentials,
subject to a complex constraint. Extending a recently proposed BPS limit, we
start from finite temperature and reach extremality following a supersymmetric
trajectory in the space of complexified solutions. We show that the entropy
function is the supergravity on-shell action in this limit. Chemical potentials
satisfying the extremization equations also emerge from the complexified
solution.
| [
{
"created": "Mon, 24 Jun 2019 18:01:08 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jul 2019 21:40:13 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Sep 2019 08:44:39 GMT",
"version": "v3"
}
] | 2019-09-17 | [
[
"Cassani",
"Davide",
""
],
[
"Papini",
"Lorenzo",
""
]
] | We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform of a homogeneous function of chemical potentials, subject to a complex constraint. Extending a recently proposed BPS limit, we start from finite temperature and reach extremality following a supersymmetric trajectory in the space of complexified solutions. We show that the entropy function is the supergravity on-shell action in this limit. Chemical potentials satisfying the extremization equations also emerge from the complexified solution. |
hep-th/0309047 | Robert Delbourgo | R Delbourgo | Self-consistent nonperturbative anomalous dimensions | 15 pages LaTeX, no figures. Requires iopart.cls | J.Phys.A36:11697-11710,2003 | 10.1088/0305-4470/36/46/012 | null | hep-th | null | A self-consistent treatment of two and three point functions in models with
trilinear interactions forces them to have opposite anomalous dimensions. We
indicate how the anomalous dimension can be extracted nonperturbatively by
solving and suitably truncating the topologies of the full set of
Dyson-Schwinger equations. The first step requires a sensible ansatz for the
full vertex part which conforms to first order perturbation theory at least. We
model this vertex to obtain typical transcendental equations between anomalous
dimension and coupling constant $g$ which coincide with know results to order
$g^4$.
| [
{
"created": "Thu, 4 Sep 2003 01:13:53 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Delbourgo",
"R",
""
]
] | A self-consistent treatment of two and three point functions in models with trilinear interactions forces them to have opposite anomalous dimensions. We indicate how the anomalous dimension can be extracted nonperturbatively by solving and suitably truncating the topologies of the full set of Dyson-Schwinger equations. The first step requires a sensible ansatz for the full vertex part which conforms to first order perturbation theory at least. We model this vertex to obtain typical transcendental equations between anomalous dimension and coupling constant $g$ which coincide with know results to order $g^4$. |
1808.09307 | Alexander Prygarin | Alex Prygarin | Reflection identities of harmonic sums up to weight three | 10 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss reflections identities of harmonic sums up to weight three. The
need for this kind of identities emerges in analysis of the general structure
of eigenvalue of the BFKL equation. The reflection identities decompose a
product of two harmonic sums with pole singularities at real integer points
into a linear combination of other functions with pole singularities at either
negative integers or zero and positive integers. This provides a pole
separation of expressions with a mixed pole structure.
| [
{
"created": "Tue, 28 Aug 2018 14:00:15 GMT",
"version": "v1"
}
] | 2018-08-29 | [
[
"Prygarin",
"Alex",
""
]
] | We discuss reflections identities of harmonic sums up to weight three. The need for this kind of identities emerges in analysis of the general structure of eigenvalue of the BFKL equation. The reflection identities decompose a product of two harmonic sums with pole singularities at real integer points into a linear combination of other functions with pole singularities at either negative integers or zero and positive integers. This provides a pole separation of expressions with a mixed pole structure. |
hep-th/0611345 | Laura Andrianopoli Dr | Laura Andrianopoli, Riccardo D'Auria, Sergio Ferrara, Mario Trigiante | Extremal Black Holes in Supergravity | Typos corrected, some points clarified | Lect.NotesPhys.737:661-727,2008 | null | null | hep-th | null | We present the main features of the physics of extremal black holes embedded
in supersymmetric theories of gravitation, with a detailed analysis of the
attractor mechanism for BPS and non-BPS black-hole solutions in four
dimensions.
| [
{
"created": "Thu, 30 Nov 2006 16:09:49 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2006 11:56:17 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jan 2007 12:07:11 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Trigiante",
"Mario",
""
]
] | We present the main features of the physics of extremal black holes embedded in supersymmetric theories of gravitation, with a detailed analysis of the attractor mechanism for BPS and non-BPS black-hole solutions in four dimensions. |
hep-th/9510162 | null | G. Sartori and G. Valente | Orbit spaces of reflection groups with 2, 3, and 4 basic polynomial
invariants | 42 pages, latex, accepted by Journal of Physics A, Mathematical and
General | J.Phys.A29:193-224,1996 | 10.1088/0305-4470/29/1/019 | null | hep-th | null | Covariant or invariant functions under a compact linear group can be
expressed in terms of functions defined in the orbit space of the group. The
semialgebraic relations defining the orbit spaces of all finite coregular real
linear groups with at most 4 basic invariants are determined. For each group
$G$ acting in $\real^n$, the results are obtained through the computation of a
metric matrix $\widehat P(p)$, which is defined only in terms of the scalar
products between the gradients of a set of basic polynomial invariants
$p_1(x),\dots p_q(x),\x\in\real^n$ of $G$; the semi-positivity conditions
$\widehat P(p)\ge 0$ are known to determine all the equalities and inequalities
defining the orbit space $\real^n/G$ of $G$ as a semi-algebraic variety in the
space $\real^q$ spanned by the variables $p_1,\dots ,p_q$. In a recent paper,
the $\widehat P$-matrices, for $q\le 4$, have been determined in an alternative
way, as solutions of a universal differential equation;the present paper yields
a partial, but significant, check on the correctness and completeness of these
solutions. Our results can be widely exploited,e.g. in the determination of
patterns of spontaneous symmetry breaking, in the analysis of structural phase
transitions (Landau's theory),in covariant bifurcation theory,in crystal field
theory and in solid state theory where symmetry adapted functions are used.
| [
{
"created": "Mon, 23 Oct 1995 10:00:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sartori",
"G.",
""
],
[
"Valente",
"G.",
""
]
] | Covariant or invariant functions under a compact linear group can be expressed in terms of functions defined in the orbit space of the group. The semialgebraic relations defining the orbit spaces of all finite coregular real linear groups with at most 4 basic invariants are determined. For each group $G$ acting in $\real^n$, the results are obtained through the computation of a metric matrix $\widehat P(p)$, which is defined only in terms of the scalar products between the gradients of a set of basic polynomial invariants $p_1(x),\dots p_q(x),\x\in\real^n$ of $G$; the semi-positivity conditions $\widehat P(p)\ge 0$ are known to determine all the equalities and inequalities defining the orbit space $\real^n/G$ of $G$ as a semi-algebraic variety in the space $\real^q$ spanned by the variables $p_1,\dots ,p_q$. In a recent paper, the $\widehat P$-matrices, for $q\le 4$, have been determined in an alternative way, as solutions of a universal differential equation;the present paper yields a partial, but significant, check on the correctness and completeness of these solutions. Our results can be widely exploited,e.g. in the determination of patterns of spontaneous symmetry breaking, in the analysis of structural phase transitions (Landau's theory),in covariant bifurcation theory,in crystal field theory and in solid state theory where symmetry adapted functions are used. |
hep-th/0506133 | Kumar S. Gupta | Sayan K. Chakrabarti and Kumar S. Gupta | Asymptotic Quasinormal Modes of d-Dimensional Schwarzschild Black Hole
with Gauss-Bonnet Correction | 10 pages, latex file, changes in several equations, changes in the
abstract qualitative nature of conclusions unaffected | Int.J.Mod.Phys. A21 (2006) 3565-3574 | 10.1142/S0217751X06031612 | SINP-TNP/05-07 | hep-th gr-qc | null | We obtain an analytic expression for the highly damped asymptotic quasinormal
mode frequencies of the $d\geq 5$-dimensional Schwarzschild black hole modified
by the Gauss-Bonnet term, which appears in string derived models of gravity.
The analytic expression is obtained under the string inspired assumption that
there exists a minimum length scale in the system and in the limit when the
coupling in front of the Gauss-Bonnet term in the action is small. Although
there are several similarities of this geometry with that of the Schwarzschild
black hole, the asymptotic quasinormal mode frequencies are quite different. In
particular, the real part of the asymptotic quasinormal frequencies for this
class of single horizon black holes in not proportional to log(3).
| [
{
"created": "Thu, 16 Jun 2005 11:56:07 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2005 06:36:31 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Aug 2005 09:50:30 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Sep 2006 11:17:53 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Chakrabarti",
"Sayan K.",
""
],
[
"Gupta",
"Kumar S.",
""
]
] | We obtain an analytic expression for the highly damped asymptotic quasinormal mode frequencies of the $d\geq 5$-dimensional Schwarzschild black hole modified by the Gauss-Bonnet term, which appears in string derived models of gravity. The analytic expression is obtained under the string inspired assumption that there exists a minimum length scale in the system and in the limit when the coupling in front of the Gauss-Bonnet term in the action is small. Although there are several similarities of this geometry with that of the Schwarzschild black hole, the asymptotic quasinormal mode frequencies are quite different. In particular, the real part of the asymptotic quasinormal frequencies for this class of single horizon black holes in not proportional to log(3). |
2312.04622 | Andrea Dei | Andrea Dei, Bob Knighton and Kiarash Naderi | Solving AdS$_3$ string theory at minimal tension: tree-level correlators | v2: minor typos corrected, one reference added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We revisit the minimal tension ($k=1$) string theory on
$\text{AdS}_3\times\text{S}^3\times\mathbb{T}^4$. We propose a new free-field
description of the worldsheet theory and show how localization of string
amplitudes emerges from the path integral. We exemplify our proposal by
reproducing the worldsheet partition function of the $\mathfrak{psu}(1,1|2)_1$
WZW model and providing explicit expressions for spectrally-flowed vertex
operators and DDF operators. We compute string correlators in the path integral
formalism and obtain a precise tree-level match with correlation functions of
the boundary symmetric orbifold.
| [
{
"created": "Thu, 7 Dec 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jan 2024 21:40:44 GMT",
"version": "v2"
}
] | 2024-01-30 | [
[
"Dei",
"Andrea",
""
],
[
"Knighton",
"Bob",
""
],
[
"Naderi",
"Kiarash",
""
]
] | We revisit the minimal tension ($k=1$) string theory on $\text{AdS}_3\times\text{S}^3\times\mathbb{T}^4$. We propose a new free-field description of the worldsheet theory and show how localization of string amplitudes emerges from the path integral. We exemplify our proposal by reproducing the worldsheet partition function of the $\mathfrak{psu}(1,1|2)_1$ WZW model and providing explicit expressions for spectrally-flowed vertex operators and DDF operators. We compute string correlators in the path integral formalism and obtain a precise tree-level match with correlation functions of the boundary symmetric orbifold. |
0710.4577 | Mariana Grana | Pablo G. C\'amara and Mariana Gra\~na | No-scale supersymmetry breaking vacua and soft terms with torsion | 44 pages; several minor corrections and added references | JHEP0802:017,2008 | 10.1088/1126-6708/2008/02/017 | null | hep-th | null | We analyze the conditions to have no-scale supersymmetry breaking solutions
of type IIA and IIB supergravity compactified on manifolds of SU(3)-structure.
The supersymmetry is spontaneously broken by the intrinsic torsion of the
internal space. For type IIB orientifolds with O9 and O5-planes the mass of the
gravitino is governed by the torsion class W_1, and the breaking is mediated
through F-terms associated to descendants of the original N=2 hypermultiplets.
For type IIA orientifolds with O6-planes we find two families of solutions,
depending on whether the breaking is mediated exclusively by hypermultiplets or
by a mixture of hypermultiplets and vector multiplets, the latter case
corresponding to a class of Scherk-Schwarz compactifications not dual to any
geometric IIB setup. We compute the geometrically induced mu-terms for D5, D6
and D9-branes on twisted tori, and discuss the patterns of soft-terms which
arise for pure moduli mediation in each type of breaking. As for D3 and
D7-branes in presence of 3-form fluxes, the effective scalar potential turns
out to possess interesting phenomenological properties.
| [
{
"created": "Thu, 25 Oct 2007 15:14:32 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jan 2008 17:41:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cámara",
"Pablo G.",
""
],
[
"Graña",
"Mariana",
""
]
] | We analyze the conditions to have no-scale supersymmetry breaking solutions of type IIA and IIB supergravity compactified on manifolds of SU(3)-structure. The supersymmetry is spontaneously broken by the intrinsic torsion of the internal space. For type IIB orientifolds with O9 and O5-planes the mass of the gravitino is governed by the torsion class W_1, and the breaking is mediated through F-terms associated to descendants of the original N=2 hypermultiplets. For type IIA orientifolds with O6-planes we find two families of solutions, depending on whether the breaking is mediated exclusively by hypermultiplets or by a mixture of hypermultiplets and vector multiplets, the latter case corresponding to a class of Scherk-Schwarz compactifications not dual to any geometric IIB setup. We compute the geometrically induced mu-terms for D5, D6 and D9-branes on twisted tori, and discuss the patterns of soft-terms which arise for pure moduli mediation in each type of breaking. As for D3 and D7-branes in presence of 3-form fluxes, the effective scalar potential turns out to possess interesting phenomenological properties. |
2008.12786 | Jorrit Kruthoff | Sean A. Hartnoll, Gary T. Horowitz, Jorrit Kruthoff, Jorge E. Santos | Diving into a holographic superconductor | 23 pages, 10 figures | SciPost Phys. 10, 009 (2021) | 10.21468/SciPostPhys.10.1.009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Charged black holes in anti-de Sitter space become unstable to forming
charged scalar hair at low temperatures $T < T_\text{c}$. This phenomenon is a
holographic realization of superconductivity. We look inside the horizon of
these holographic superconductors and find intricate dynamical behavior. The
spacetime ends at a spacelike Kasner singularity, and there is no Cauchy
horizon. Before reaching the singularity, there are several intermediate
regimes which we study both analytically and numerically. These include strong
Josephson oscillations in the condensate and possible 'Kasner inversions' in
which after many e-folds of expansion, the Einstein-Rosen bridge contracts
towards the singularity. Due to the Josephson oscillations, the number of
Kasner inversions depends very sensitively on $T$, and diverges at a discrete
set of temperatures $\{T_n\}$ that accumulate at $T_c$. Near these $T_n$, the
final Kasner exponent exhibits fractal-like behavior.
| [
{
"created": "Fri, 28 Aug 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Sep 2020 19:59:59 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jan 2021 18:35:43 GMT",
"version": "v3"
}
] | 2021-01-20 | [
[
"Hartnoll",
"Sean A.",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"Kruthoff",
"Jorrit",
""
],
[
"Santos",
"Jorge E.",
""
]
] | Charged black holes in anti-de Sitter space become unstable to forming charged scalar hair at low temperatures $T < T_\text{c}$. This phenomenon is a holographic realization of superconductivity. We look inside the horizon of these holographic superconductors and find intricate dynamical behavior. The spacetime ends at a spacelike Kasner singularity, and there is no Cauchy horizon. Before reaching the singularity, there are several intermediate regimes which we study both analytically and numerically. These include strong Josephson oscillations in the condensate and possible 'Kasner inversions' in which after many e-folds of expansion, the Einstein-Rosen bridge contracts towards the singularity. Due to the Josephson oscillations, the number of Kasner inversions depends very sensitively on $T$, and diverges at a discrete set of temperatures $\{T_n\}$ that accumulate at $T_c$. Near these $T_n$, the final Kasner exponent exhibits fractal-like behavior. |
hep-th/0610117 | Sylvain Ribault | Kazuo Hosomichi, Sylvain Ribault | Solution of the H3+ model on a disc | 32 pages, v2: minor changes | JHEP 0701:057,2007 | 10.1088/1126-6708/2007/01/057 | DESY 06-171, SPhT-T06/109 | hep-th | null | We determine all the correlators of the H3+ model on a disc with AdS2-brane
boundary conditions in terms of correlators of Liouville theory on a disc with
FZZT-brane boundary conditions. We argue that the Cardy-Lewellen constraints
are weaker in the H3+ model than in rational conformal field theories due to
extra singularities of the correlators, but strong enough to uniquely determine
the bulk two-point function on a disc. We confirm our results by detailed
analyses of the bulk-boundary two-point function and of the boundary two-point
function. In particular we find that, although the target space symmetry
preserved by AdS2-branes is the group SL(2,R), the open string states between
two distinct parallel AdS2-branes belong to representations of the universal
covering group.
| [
{
"created": "Tue, 10 Oct 2006 17:26:02 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2007 18:34:30 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Hosomichi",
"Kazuo",
""
],
[
"Ribault",
"Sylvain",
""
]
] | We determine all the correlators of the H3+ model on a disc with AdS2-brane boundary conditions in terms of correlators of Liouville theory on a disc with FZZT-brane boundary conditions. We argue that the Cardy-Lewellen constraints are weaker in the H3+ model than in rational conformal field theories due to extra singularities of the correlators, but strong enough to uniquely determine the bulk two-point function on a disc. We confirm our results by detailed analyses of the bulk-boundary two-point function and of the boundary two-point function. In particular we find that, although the target space symmetry preserved by AdS2-branes is the group SL(2,R), the open string states between two distinct parallel AdS2-branes belong to representations of the universal covering group. |
2012.02719 | Martin Cederwall | Martin Cederwall | Superspace formulation of exotic supergravities in six dimensions | v2. 14 pp. Expanded version, added results on N=(3,1) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a linearised superfield description of the exotic non-metric
$N=(4,0)$ supergravity in $D=6$, by using a pure spinor superfield formalism.
The basic field $\Psi$ is a ghost number 2 scalar, transforming in the same
R-symmetry module as the tensor fields. Partial results for the $N=(3,1)$ model
are presented.
| [
{
"created": "Fri, 4 Dec 2020 17:07:04 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2021 08:08:09 GMT",
"version": "v2"
}
] | 2021-01-19 | [
[
"Cederwall",
"Martin",
""
]
] | We provide a linearised superfield description of the exotic non-metric $N=(4,0)$ supergravity in $D=6$, by using a pure spinor superfield formalism. The basic field $\Psi$ is a ghost number 2 scalar, transforming in the same R-symmetry module as the tensor fields. Partial results for the $N=(3,1)$ model are presented. |
hep-th/0604129 | Bojan Nikoli\'c | B. Nikolic and B. Sazdovic | Gauge symmetries decrease the number of Dp-brane dimensions | We improve Sec.4. and Conclusion and we added the Appendix in order
to clarify results | Phys.Rev.D74:045024,2006 | 10.1103/PhysRevD.74.045024 | null | hep-th | null | It is known that the presence of antisymmetric background field $B_{\mu\nu}$
leads to noncommutativity of Dp-brane manifold. Addition of the linear dilaton
field in the form $\Phi(x)=\Phi_0+a_\mu x^\mu$, causes the appearance of the
commutative Dp-brane coordinate $x=a_\mu x^\mu$. In the present article we show
that for some particular choices of the background fields, $a^2\equiv
G^{\mu\nu}a_\mu a_\nu=0$ and $\tilde a^2\equiv [ (G-4BG^{-1}B)^{-1}\
]^{\mu\nu}a_\mu a_\nu=0$, the local gauge symmetries appear in the theory. They
turn some Neuman boundary conditions into the Dirichlet ones, and consequently
decrease the number of the Dp-brane dimensions.
| [
{
"created": "Wed, 19 Apr 2006 11:47:40 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2006 09:27:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Nikolic",
"B.",
""
],
[
"Sazdovic",
"B.",
""
]
] | It is known that the presence of antisymmetric background field $B_{\mu\nu}$ leads to noncommutativity of Dp-brane manifold. Addition of the linear dilaton field in the form $\Phi(x)=\Phi_0+a_\mu x^\mu$, causes the appearance of the commutative Dp-brane coordinate $x=a_\mu x^\mu$. In the present article we show that for some particular choices of the background fields, $a^2\equiv G^{\mu\nu}a_\mu a_\nu=0$ and $\tilde a^2\equiv [ (G-4BG^{-1}B)^{-1}\ ]^{\mu\nu}a_\mu a_\nu=0$, the local gauge symmetries appear in the theory. They turn some Neuman boundary conditions into the Dirichlet ones, and consequently decrease the number of the Dp-brane dimensions. |
1103.0848 | Mario Trigiante | Pietro Fr\'e, Alexander S. Sorin and Mario Trigiante | Integrability of Supergravity Black Holes and New Tensor Classifiers of
Regular and Nilpotent Orbits | Analysis of nilpotent orbits in terms of tensor classifiers in
section 8.1 corrected. Table 1 corrected. Discussion in section 11 extended | null | 10.1007/JHEP04(2012)015 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we apply in a systematic way a previously developed integration
algorithm of the relevant Lax equation to the construction of spherical
symmetric, asymptotically flat black hole solutions of N=2 supergravities with
symmetric Special Geometry. Our main goal is the classification of these
black-holes according to the H*-orbits in which the space of possible Lax
operators decomposes, H* being the isotropy group of scalar manifold
originating from time-like dimensional reduction of supergravity from D=4 to
D=3 dimensions. The main result of our investigation is the construction of
three universal tensors, extracted from quadratic and quartic powers of the Lax
operator, that are capable of classifying both regular and nilpotent H* orbits
of Lax operators. Our tensor based classification is compared, in the case of
the simple one-field model S^3, to the algebraic classification of nilpotent
orbits and it is shown to provide a simple and practical discriminating method.
We present a detailed analysis of the S^3 model and its black hole solutions,
discussing the Liouville integrability of the corresponding dynamical system.
By means of the Kostant-representation of a generic Lie algebra element, we
were able to develop an algorithm which produces the necessary number of
hamiltonians in involution required by Liouville integrability of generic
orbits. The degenerate orbits correspond to extremal black-holes and are
nilpotent. We analyze these orbits in some detail working out different
representatives thereof and showing that the relation between H* orbits and
critical points of the geodesic potential is not one-to-one. Finally we present
the conjecture that our newly identified tensor classifiers are universal and
able to label all regular and nilpotent orbits in all homogeneous symmetric
Special Geometries.
| [
{
"created": "Fri, 4 Mar 2011 09:11:00 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2011 08:11:27 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Fré",
"Pietro",
""
],
[
"Sorin",
"Alexander S.",
""
],
[
"Trigiante",
"Mario",
""
]
] | In this paper we apply in a systematic way a previously developed integration algorithm of the relevant Lax equation to the construction of spherical symmetric, asymptotically flat black hole solutions of N=2 supergravities with symmetric Special Geometry. Our main goal is the classification of these black-holes according to the H*-orbits in which the space of possible Lax operators decomposes, H* being the isotropy group of scalar manifold originating from time-like dimensional reduction of supergravity from D=4 to D=3 dimensions. The main result of our investigation is the construction of three universal tensors, extracted from quadratic and quartic powers of the Lax operator, that are capable of classifying both regular and nilpotent H* orbits of Lax operators. Our tensor based classification is compared, in the case of the simple one-field model S^3, to the algebraic classification of nilpotent orbits and it is shown to provide a simple and practical discriminating method. We present a detailed analysis of the S^3 model and its black hole solutions, discussing the Liouville integrability of the corresponding dynamical system. By means of the Kostant-representation of a generic Lie algebra element, we were able to develop an algorithm which produces the necessary number of hamiltonians in involution required by Liouville integrability of generic orbits. The degenerate orbits correspond to extremal black-holes and are nilpotent. We analyze these orbits in some detail working out different representatives thereof and showing that the relation between H* orbits and critical points of the geodesic potential is not one-to-one. Finally we present the conjecture that our newly identified tensor classifiers are universal and able to label all regular and nilpotent orbits in all homogeneous symmetric Special Geometries. |
hep-th/0308038 | William Gordon Ritter | William Gordon Ritter (Harvard University) | Vacuum Geometry of the N=2 Wess-Zumino Model | 38 pages | Commun.Math.Phys. 251 (2004) 133-156 | 10.1007/s00220-004-1170-z | null | hep-th | null | We give a mathematically rigorous construction of the moduli space and vacuum
geometry of a class of quantum field theories which are N=2 supersymmetric
Wess-Zumino models on a cylinder. These theories have been proven to exist in
the sense of constructive quantum field theory, and they also satisfy the
assumptions used by Vafa and Cecotti in their study of the geometry of ground
states. Since its inception, the Vafa-Cecotti theory of
topological-antitopological fusion, or tt* geometry, has proven to be a
powerful tool for calculations of exact quantum string amplitudes. However, tt*
geometry postulates the existence of certain vector bundles and holomorphic
sections built from the ground states. Our purpose in the present article is to
give a mathematical proof that this postulate is valid within the context of
the two-dimensional N=2 supersymmetric Wess-Zumino models. We also give a
simpler proof in the case of holomorphic quantum mechanics.
| [
{
"created": "Tue, 5 Aug 2003 21:31:27 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2004 22:30:49 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ritter",
"William Gordon",
"",
"Harvard University"
]
] | We give a mathematically rigorous construction of the moduli space and vacuum geometry of a class of quantum field theories which are N=2 supersymmetric Wess-Zumino models on a cylinder. These theories have been proven to exist in the sense of constructive quantum field theory, and they also satisfy the assumptions used by Vafa and Cecotti in their study of the geometry of ground states. Since its inception, the Vafa-Cecotti theory of topological-antitopological fusion, or tt* geometry, has proven to be a powerful tool for calculations of exact quantum string amplitudes. However, tt* geometry postulates the existence of certain vector bundles and holomorphic sections built from the ground states. Our purpose in the present article is to give a mathematical proof that this postulate is valid within the context of the two-dimensional N=2 supersymmetric Wess-Zumino models. We also give a simpler proof in the case of holomorphic quantum mechanics. |
hep-th/9208026 | null | L. Alvarez-Gaume, J.L.F. Barbon and C. Crnkovic | A Proposal for Strings at D>1 | 41 pages, CERN-TH 6600/92 | Nucl.Phys. B394 (1993) 383-422 | 10.1016/0550-3213(93)90020-P | null | hep-th | null | Using the reduced formulation on large-N Quantum Field Theories we study
strings in space-time dimensions higher that one. We present results on
possible string susceptibilities, macroscopic loop operators, 1/N -corrections
and other general properties of the model.
| [
{
"created": "Mon, 10 Aug 1992 19:58:49 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Alvarez-Gaume",
"L.",
""
],
[
"Barbon",
"J. L. F.",
""
],
[
"Crnkovic",
"C.",
""
]
] | Using the reduced formulation on large-N Quantum Field Theories we study strings in space-time dimensions higher that one. We present results on possible string susceptibilities, macroscopic loop operators, 1/N -corrections and other general properties of the model. |
2212.02259 | Ivan Jardim | L. F. F. Freitas, I. C. Jardim, G. Alencar, R. R. Landim | A Gravity-Consistent Confinement of Fermions in Braneworld | 28 pages, 2 figures; We add a new subsection in section VI | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this manuscript, we discuss the confinement of the spin $\frac{1}{2}$
field on a plethora of branewords models. Recently, in (Eur.Phys.J.C 80 (2020)
5, 432), we studied the consistency of the Standard Model (SM) fields
localization on braneworlds with the Einstein equation. In that paper, we
discussed the consistency of the spinor field confinement and, by using a
Yukawa-like interaction given by $\mathcal{L}_{int}\propto f(y)\bar{\Psi}\Psi$,
we obtained that the function must be defined as $f(y)\propto e^{-A}A'$. This
shape of the scalar function emerge from the requirement that the spin
$\frac{1}{2}$ (zero-mode) localization cannot modify the metric on bulk. This
ensures that the confinement of gravity on the brane is preserved. In the
present manuscript, we find a covariant scalar-coupling function that can
generate this interaction. This provide a new mechanism for localizing fermion
fields over the brane. We also discuss massive modes and we found some
gravitational configuration where there are confined and discretized massive
modes.
| [
{
"created": "Mon, 5 Dec 2022 13:31:05 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2023 19:58:45 GMT",
"version": "v2"
}
] | 2023-02-02 | [
[
"Freitas",
"L. F. F.",
""
],
[
"Jardim",
"I. C.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] | In this manuscript, we discuss the confinement of the spin $\frac{1}{2}$ field on a plethora of branewords models. Recently, in (Eur.Phys.J.C 80 (2020) 5, 432), we studied the consistency of the Standard Model (SM) fields localization on braneworlds with the Einstein equation. In that paper, we discussed the consistency of the spinor field confinement and, by using a Yukawa-like interaction given by $\mathcal{L}_{int}\propto f(y)\bar{\Psi}\Psi$, we obtained that the function must be defined as $f(y)\propto e^{-A}A'$. This shape of the scalar function emerge from the requirement that the spin $\frac{1}{2}$ (zero-mode) localization cannot modify the metric on bulk. This ensures that the confinement of gravity on the brane is preserved. In the present manuscript, we find a covariant scalar-coupling function that can generate this interaction. This provide a new mechanism for localizing fermion fields over the brane. We also discuss massive modes and we found some gravitational configuration where there are confined and discretized massive modes. |
1206.3166 | Leron Borsten | L. Borsten, M. J. Duff and P. L\'evay | The black-hole/qubit correspondence: an up-to-date review | 66 pages, 11 figures, to appear in Classical and Quantum Gravity
special focus issue on relativistic quantum information | null | 10.1088/0264-9381/29/22/224008 | Imperial/TP/2012/mjd/3 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a review of the black-hole/qubit correspondence that incorporates not
only the earlier results on black hole entropy and entanglement measures, seven
qubits and the Fano plane, wrapped branes as qubits and the attractor mechanism
as a distillation procedure, but also newer material including error-correcting
codes, Mermin squares, Freudenthal triples and 4-qubit entanglement
classification.
| [
{
"created": "Thu, 14 Jun 2012 16:20:44 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Lévay",
"P.",
""
]
] | We give a review of the black-hole/qubit correspondence that incorporates not only the earlier results on black hole entropy and entanglement measures, seven qubits and the Fano plane, wrapped branes as qubits and the attractor mechanism as a distillation procedure, but also newer material including error-correcting codes, Mermin squares, Freudenthal triples and 4-qubit entanglement classification. |
2010.09732 | Samuel Crew | Samuel Crew, Nick Dorey, Daniel Zhang | Blocks and Vortices in the 3d ADHM Quiver Gauge Theory | 32+26 pages, 6 figures. v2: Discussion of Neumann boundary conditions
clarified, JHEP version | null | 10.1007/JHEP03(2021)234 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the hemisphere partition function of a three-dimensional
$\mathcal{N}=4$ supersymmetric $U(N)$ gauge theory with one adjoint and one
fundamental hypermultiplet -- the ADHM quiver theory. In particular, we propose
a distinguished set of UV boundary conditions which yield Verma modules of the
quantised chiral rings of the Higgs and Coulomb branches. In line with a recent
proposal by two of the authors in collaboration with M. Bullimore, we show
explicitly that the hemisphere partition functions recover the characters of
these modules in two limits, and realise blocks gluing exactly to the partition
functions of the theory on closed three-manifolds. We study the geometry of the
vortex moduli space and investigate the interpretation of the vortex partition
functions as equivariant indices of quasimaps to the Hilbert scheme of points
in $\mathbb{C}^2$. We also investigate half indices of the ADHM quiver gauge
theory in the presence of a line operator and discuss their geometric
interpretation. Along the way we find interesting relations between our
hemisphere blocks and related quantities in topological string theory and
equivariant quantum K-theory.
| [
{
"created": "Mon, 19 Oct 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2021 22:36:37 GMT",
"version": "v2"
}
] | 2021-04-07 | [
[
"Crew",
"Samuel",
""
],
[
"Dorey",
"Nick",
""
],
[
"Zhang",
"Daniel",
""
]
] | We study the hemisphere partition function of a three-dimensional $\mathcal{N}=4$ supersymmetric $U(N)$ gauge theory with one adjoint and one fundamental hypermultiplet -- the ADHM quiver theory. In particular, we propose a distinguished set of UV boundary conditions which yield Verma modules of the quantised chiral rings of the Higgs and Coulomb branches. In line with a recent proposal by two of the authors in collaboration with M. Bullimore, we show explicitly that the hemisphere partition functions recover the characters of these modules in two limits, and realise blocks gluing exactly to the partition functions of the theory on closed three-manifolds. We study the geometry of the vortex moduli space and investigate the interpretation of the vortex partition functions as equivariant indices of quasimaps to the Hilbert scheme of points in $\mathbb{C}^2$. We also investigate half indices of the ADHM quiver gauge theory in the presence of a line operator and discuss their geometric interpretation. Along the way we find interesting relations between our hemisphere blocks and related quantities in topological string theory and equivariant quantum K-theory. |
1606.04546 | Marco Bochicchio | Marco Bochicchio | Asymptotic Freedom versus Open/Closed Duality in Large-N QCD | 8 pages; the main argument is extended to a punctured sphere with a
boundary loop; further references and acknowledgements | Phys. Rev. D 95, 054010 (2017) | 10.1103/PhysRevD.95.054010 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The solution of the large-N 't Hooft limit of QCD is universally believed to
be a String Theory of Closed Strings in the Glueball Sector and of Open Strings
in the Meson Sector. Yet, we prove a no-go theorem, that the large-N limit of
QCD with massless quarks, or more generally, that the large-N limit of a vast
class of confining, i.e. with a Mass Gap in the Glueball Sector,
asymptotically-free Gauge Theories coupled to matter fields with no mass scale
in perturbation theory cannot be a canonically-defined String Theory of Closed
and Open Strings, i.e. admitting Open/Closed Duality. The no-go theorem occurs
because Open/Closed Duality, implying that the ultraviolet divergences of
annulus diagrams in the Open Sector arise from infrared divergences of tadpoles
of massless particles in the Closed Sector, turns out to be incompatible with
the existence of the Mass Gap in the Glueball Sector of confining
asymptotically-free theories with no mass scale in perturbation theory in
which, as for example in QCD, the first coefficient of the beta function for 't
Hooft gauge coupling gets $1/N$ corrections due to the matter fields. Moreover,
we suggest a way-out to the no-go theorem on the basis of a new non-canonical
construction of the String S-matrix for asymptotically-free Gauge Theories such
as large-N QCD, involving Topological Strings on Non-Commutative Twistor Space.
| [
{
"created": "Tue, 14 Jun 2016 20:00:44 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2016 20:00:12 GMT",
"version": "v2"
}
] | 2017-04-12 | [
[
"Bochicchio",
"Marco",
""
]
] | The solution of the large-N 't Hooft limit of QCD is universally believed to be a String Theory of Closed Strings in the Glueball Sector and of Open Strings in the Meson Sector. Yet, we prove a no-go theorem, that the large-N limit of QCD with massless quarks, or more generally, that the large-N limit of a vast class of confining, i.e. with a Mass Gap in the Glueball Sector, asymptotically-free Gauge Theories coupled to matter fields with no mass scale in perturbation theory cannot be a canonically-defined String Theory of Closed and Open Strings, i.e. admitting Open/Closed Duality. The no-go theorem occurs because Open/Closed Duality, implying that the ultraviolet divergences of annulus diagrams in the Open Sector arise from infrared divergences of tadpoles of massless particles in the Closed Sector, turns out to be incompatible with the existence of the Mass Gap in the Glueball Sector of confining asymptotically-free theories with no mass scale in perturbation theory in which, as for example in QCD, the first coefficient of the beta function for 't Hooft gauge coupling gets $1/N$ corrections due to the matter fields. Moreover, we suggest a way-out to the no-go theorem on the basis of a new non-canonical construction of the String S-matrix for asymptotically-free Gauge Theories such as large-N QCD, involving Topological Strings on Non-Commutative Twistor Space. |
hep-th/0005241 | Hossein Amir Fathollahi | Amir H. Fatollahi | D0-Branes As Confined Quarks | 12 pages, 4 eps figures, LaTeX; Talk presented at Isfahan String
Workshop 2000, May 13-14, IRAN | null | null | null | hep-th | null | The possibility of using the quantum mechanics of D0-branes for the
bound-states of quarks and QCD strings is investigated. Issues such as the
inter D0-branes potential, the whiteness of the D0-branes bound-states and the
large-N limit of D0-branes effective theory are studied. A possible role of the
non-commutativity of relative distances of D0-branes in a study of ordinary QCD
is discussed.
| [
{
"created": "Thu, 25 May 2000 14:27:20 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2000 13:34:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Fatollahi",
"Amir H.",
""
]
] | The possibility of using the quantum mechanics of D0-branes for the bound-states of quarks and QCD strings is investigated. Issues such as the inter D0-branes potential, the whiteness of the D0-branes bound-states and the large-N limit of D0-branes effective theory are studied. A possible role of the non-commutativity of relative distances of D0-branes in a study of ordinary QCD is discussed. |
hep-th/9410133 | null | Marcia E. Wehlau | OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric
Non-Linear $\sigma$-Model | 10 pp. + 1 uuencoded figure | Phys.Rev. D51 (1995) 1831-1835 | 10.1103/PhysRevD.51.1831 | BRX-TH-361 | hep-th | null | Using the superspace formalism, we compute for the two-dimensional N=1
supersymmetric non-linear $\sigma$-model, the order $(\alpha^{\prime})^{2}$
$(R_{mnpq})^2$ (three-loop) correction to the central charge via the operator
product expansion of the supercurrent with itself. The contribution vanishes,
in agreement with previous results obtained from the usual $\sigma$-model
$\beta$-function approach.
| [
{
"created": "Tue, 18 Oct 1994 22:03:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Wehlau",
"Marcia E.",
""
]
] | Using the superspace formalism, we compute for the two-dimensional N=1 supersymmetric non-linear $\sigma$-model, the order $(\alpha^{\prime})^{2}$ $(R_{mnpq})^2$ (three-loop) correction to the central charge via the operator product expansion of the supercurrent with itself. The contribution vanishes, in agreement with previous results obtained from the usual $\sigma$-model $\beta$-function approach. |
1606.01189 | Ali Chamseddine | Ali H. Chamseddine | Quanta of Geometry and Unification | To appear in the Proceedings of Abdus Salam 90th Birthday Memorial
meeting, Editors L. Brink, M. Duff and K. Phua, 10 pages | Mod.Phys.Lett. A31 (2016) no.40, 1630046 | 10.1142/S0217732316300469 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a tribute to Abdus Salam's memory whose insight and creative thinking
set for me a role model to follow. In this contribution I show that the simple
requirement of volume quantization in space-time (with Euclidean signature)
uniquely determines the geometry to be that of a noncommutative space whose
finite part is based on an algebra that leads to Pati-Salam grand unified
models. The Standard Model corresponds to a special case where a mathematical
constraint (order one condition) is satisfied. This provides evidence that
Salam was a visionary who was generations ahead of his time.
| [
{
"created": "Fri, 3 Jun 2016 17:11:52 GMT",
"version": "v1"
}
] | 2017-01-02 | [
[
"Chamseddine",
"Ali H.",
""
]
] | This is a tribute to Abdus Salam's memory whose insight and creative thinking set for me a role model to follow. In this contribution I show that the simple requirement of volume quantization in space-time (with Euclidean signature) uniquely determines the geometry to be that of a noncommutative space whose finite part is based on an algebra that leads to Pati-Salam grand unified models. The Standard Model corresponds to a special case where a mathematical constraint (order one condition) is satisfied. This provides evidence that Salam was a visionary who was generations ahead of his time. |
hep-th/9801088 | Max Chaves | M. Chaves and H. Morales | Unification of SU(2)xU(1) Using a Generalized Covariant Derivative and
U(3) | 12 pages, no figures. To be published in Int. J. Mod. Phys. A | Mod.Phys.Lett. A13 (1998) 2021-2034 | 10.1142/S0217732398002126 | UCR-EF-98-3 | hep-th | null | A generalization of the Yang-Mills covariant derivative, that uses both
vector and scalar fields and transforms as a 4-vector contracted with Dirac
matrices, is used to simplify and unify the Glashow-Weinberg-Salam model. Since
SU(3) assigns the wrong hypercharge to the Higgs boson, it is necessary to use
a special representation of U(3) to obtain all the correct quantum numbers. A
surplus gauge scalar boson emerges in the process, but it uncouples from all
other particles.
| [
{
"created": "Wed, 14 Jan 1998 01:10:45 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 1998 23:42:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Chaves",
"M.",
""
],
[
"Morales",
"H.",
""
]
] | A generalization of the Yang-Mills covariant derivative, that uses both vector and scalar fields and transforms as a 4-vector contracted with Dirac matrices, is used to simplify and unify the Glashow-Weinberg-Salam model. Since SU(3) assigns the wrong hypercharge to the Higgs boson, it is necessary to use a special representation of U(3) to obtain all the correct quantum numbers. A surplus gauge scalar boson emerges in the process, but it uncouples from all other particles. |
hep-th/0209210 | Richard Szabo | Richard J. Szabo | D-Branes, Tachyons and K-Homology | 18 pages AMSTeX, 3 eps figures; Based on invited lecture given at the
Workshop on Algebraic Geometry and Physics ``K-Theory, Derived Categories and
Strings'', University of Genoa, Genoa, Italy, June 18-21 2002; V2: Clarifying
comments and reference added | Mod.Phys.Lett. A17 (2002) 2297-2316 | 10.1142/S0217732302009015 | HWM-02-30, EMPG-02-19 | hep-th gr-qc math-ph math.KT math.MP | null | We present an overview of the ways in which D-brane charges are classified in
terms of K-theory, emphasizing the natural physical interpretations of a
homological classification within a topological setting.
| [
{
"created": "Wed, 25 Sep 2002 10:59:33 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 2002 13:54:43 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Szabo",
"Richard J.",
""
]
] | We present an overview of the ways in which D-brane charges are classified in terms of K-theory, emphasizing the natural physical interpretations of a homological classification within a topological setting. |
hep-th/9611238 | Sergei Lukyanov | S. Lukyanov, A. Zamolodchikov | Exact expectation values of local fields in quantum sine-Gordon model | 18 pages, harvmac.tex, 2 figures | Nucl.Phys. B493 (1997) 571-587 | 10.1016/S0550-3213(97)00123-5 | CLNS 96/1444, RU-96-107 | hep-th cond-mat math.QA q-alg | null | We propose an explicit expression for vacuum expectation values of the
exponential fields in the sine-Gordon model. Our expression agrees both with
semi-classical results in the sine-Gordon theory and with perturbative
calculations in the Massive Thirring model. We use this expression to make new
predictions about the large-distance asymptotic form of the two-point
correlation function in the XXZ spin chain.
| [
{
"created": "Fri, 29 Nov 1996 00:08:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lukyanov",
"S.",
""
],
[
"Zamolodchikov",
"A.",
""
]
] | We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the Massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain. |
hep-th/0306030 | Keshav Dasgupta | Keshav Dasgupta, Marina Shmakova | On Branes and Oriented B-fields | 44 pages, Harvmac, 12 .eps figures; v2: Some typos corrected and
references added; More typos corrected, two footnotes added and references
updated. Final version to appear in Nucl. Phys. B | Nucl.Phys. B675 (2003) 205-240 | 10.1016/j.nuclphysb.2003.09.054 | SU-ITP-03/11, SLAC-PUB-9907 | hep-th | null | Novel theories appear on the world-volume of branes by orienting B fields
along various directions of the branes. We review some of the earlier
developments and explore many new examples of these theories. In particular,
among other things, we study the pinning effect of branes near conifold like
singularities and brane-antibrane theories with different fluxes on their
world-volumes. We show that all these theories arise from different limits of
an M-theory configuration with appropriately chosen G-fluxes. This gives us a
way to study them from a unified framework in M-theory.
| [
{
"created": "Tue, 3 Jun 2003 21:05:49 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jun 2003 00:41:28 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2003 23:45:49 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Shmakova",
"Marina",
""
]
] | Novel theories appear on the world-volume of branes by orienting B fields along various directions of the branes. We review some of the earlier developments and explore many new examples of these theories. In particular, among other things, we study the pinning effect of branes near conifold like singularities and brane-antibrane theories with different fluxes on their world-volumes. We show that all these theories arise from different limits of an M-theory configuration with appropriately chosen G-fluxes. This gives us a way to study them from a unified framework in M-theory. |
hep-th/9701170 | Matthew J. Slater | Matthew J. Slater | One-Instanton Tests of the Exact Results in N=2 Supersymmetric QCD | 12 pages, LaTeX, no figures. Fix of N_f=5 curve modified. To appear
in Phys. Lett. B | Phys.Lett. B403 (1997) 57-64 | 10.1016/S0370-2693(97)00486-3 | DTP/97/10 | hep-th hep-ph | null | We use the microscopic instanton calculus to determine the one-instanton
contribution to the quantum modulus u_3=<Tr(\phi^3)> in N=2 SU(N_c)
supersymmetric QCD with N_f<2N_c fundamental flavors. This is compared with the
corresponding prediction of the hyperelliptic curves which are expected to give
exact solutions in this theory. The results agree up to certain regular terms
which appear when N_f\geq 2N_c-3. The curve prediction for these terms depends
upon the curve parameterization which is generically ambiguous when N_f\geq
N_c. In SU(3) theory our instanton calculation of the regular terms is found to
disagree with the predictions of all of the suggested curves. For this theory
we employ our results as input to improve the curve parameterization for
N_f=3,4,5.
| [
{
"created": "Wed, 29 Jan 1997 19:09:05 GMT",
"version": "v1"
},
{
"created": "Thu, 1 May 1997 11:39:27 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Slater",
"Matthew J.",
""
]
] | We use the microscopic instanton calculus to determine the one-instanton contribution to the quantum modulus u_3=<Tr(\phi^3)> in N=2 SU(N_c) supersymmetric QCD with N_f<2N_c fundamental flavors. This is compared with the corresponding prediction of the hyperelliptic curves which are expected to give exact solutions in this theory. The results agree up to certain regular terms which appear when N_f\geq 2N_c-3. The curve prediction for these terms depends upon the curve parameterization which is generically ambiguous when N_f\geq N_c. In SU(3) theory our instanton calculation of the regular terms is found to disagree with the predictions of all of the suggested curves. For this theory we employ our results as input to improve the curve parameterization for N_f=3,4,5. |
1711.10008 | Clay C\'ordova | Clay Cordova, Po-Shen Hsin, Nathan Seiberg | Global Symmetries, Counterterms, and Duality in Chern-Simons Matter
Theories with Orthogonal Gauge Groups | 71 pages, 7 figures, 5 tables. v2: typos corrected, references added,
minor additions to appendix H | SciPost Phys. 4, 021 (2018) | 10.21468/SciPostPhys.4.4.021 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study three-dimensional gauge theories based on orthogonal groups.
Depending on the global form of the group these theories admit discrete
$\theta$-parameters, which control the weights in the sum over topologically
distinct gauge bundles. We derive level-rank duality for these topological
field theories. Our results may also be viewed as level-rank duality for
$SO(N)_{K}$ Chern-Simons theory in the presence of background fields for
discrete global symmetries. In particular, we include the required counterterms
and analysis of the anomalies. We couple our theories to charged matter and
determine how these counterterms are shifted by integrating out massive
fermions. By gauging discrete global symmetries we derive new boson-fermion
dualities for vector matter, and present the phase diagram of theories with
two-index tensor fermions, thus extending previous results for $SO(N)$ to other
global forms of the gauge group.
| [
{
"created": "Mon, 27 Nov 2017 21:31:47 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Feb 2018 18:11:02 GMT",
"version": "v2"
}
] | 2018-05-02 | [
[
"Cordova",
"Clay",
""
],
[
"Hsin",
"Po-Shen",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge bundles. We derive level-rank duality for these topological field theories. Our results may also be viewed as level-rank duality for $SO(N)_{K}$ Chern-Simons theory in the presence of background fields for discrete global symmetries. In particular, we include the required counterterms and analysis of the anomalies. We couple our theories to charged matter and determine how these counterterms are shifted by integrating out massive fermions. By gauging discrete global symmetries we derive new boson-fermion dualities for vector matter, and present the phase diagram of theories with two-index tensor fermions, thus extending previous results for $SO(N)$ to other global forms of the gauge group. |
hep-th/0012017 | Diego J. Navarro | Alessandro Fabbri, Diego J. Navarro and Jose Navarro-Salas | Exact late time Hawking radiation and the information loss problem for
evaporating near-extremal black holes | LaTeX file, 4 pages, 1 figure; revised version | null | null | FTUV-00-1204 | hep-th gr-qc | null | In this paper we investigate the effects of gravitational backreaction for
the late time Hawking radiation of evaporating near-extremal black holes. This
problem can be studied within the framework of an effective one-loop solvable
model on AdS_2. We find that the Hawking flux goes down exponentially and it is
proportional to a parameter which depends on details of the collapsing matter.
This result seems to suggest that the information of the initial state is not
lost and that the boundary of AdS_2 acts, at least at late times, as a sort of
stretched horizon in the Reissner-Nordstrom spacetime.
| [
{
"created": "Mon, 4 Dec 2000 16:33:49 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2001 12:57:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Fabbri",
"Alessandro",
""
],
[
"Navarro",
"Diego J.",
""
],
[
"Navarro-Salas",
"Jose",
""
]
] | In this paper we investigate the effects of gravitational backreaction for the late time Hawking radiation of evaporating near-extremal black holes. This problem can be studied within the framework of an effective one-loop solvable model on AdS_2. We find that the Hawking flux goes down exponentially and it is proportional to a parameter which depends on details of the collapsing matter. This result seems to suggest that the information of the initial state is not lost and that the boundary of AdS_2 acts, at least at late times, as a sort of stretched horizon in the Reissner-Nordstrom spacetime. |
hep-th/9412237 | Schwiebert | C. Schwiebert | Generalized Quantum Inverse Scattering | Consistency conditions for the braided coproduct added, minor text
changes; 13 pages, TeX (with phyzzx macros) | null | null | RIMS 1003 | hep-th | null | A generalization of the quantum inverse scattering method is proposed
replacing the quantum group $RLL$ commutation relations of Lax operators by
reflection equation type $RLRL$ commutation relations. Under some natural
assumptions the most general algebra of this type allowing to construct the
neccessary integrals of motion is found. It serves to describe Lax operators
with completely non-ultralocal commutation relations. An example of this new
formalism is an integrable model on monodromies of flat connections on a
Riemann surface which is related to the XXZ quantum spin chain.
| [
{
"created": "Fri, 30 Dec 1994 10:52:56 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jan 1995 07:21:38 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 1995 13:48:08 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Schwiebert",
"C.",
""
]
] | A generalization of the quantum inverse scattering method is proposed replacing the quantum group $RLL$ commutation relations of Lax operators by reflection equation type $RLRL$ commutation relations. Under some natural assumptions the most general algebra of this type allowing to construct the neccessary integrals of motion is found. It serves to describe Lax operators with completely non-ultralocal commutation relations. An example of this new formalism is an integrable model on monodromies of flat connections on a Riemann surface which is related to the XXZ quantum spin chain. |
hep-th/0106104 | Katrin Wendland | Werner Nahm and Katrin Wendland | Mirror Symmetry on Kummer Type K3 Surfaces | 27 pages, no figures; references added, typos and equation (28)
corrected | Commun.Math.Phys. 243 (2003) 557-582 | 10.1007/s00220-003-0985-3 | null | hep-th math-ph math.MP | null | We investigate both geometric and conformal field theoretic aspects of mirror
symmetry on N=(4,4) superconformal field theories with central charge c=6. Our
approach enables us to determine the action of mirror symmetry on (non-stable)
singular fibers in elliptic fibrations of Z_N orbifold limits of K3. The
resulting map gives an automorphism of order 4,8, or 12, respectively, on the
smooth universal cover of the moduli space. We explicitly derive the geometric
counterparts of the twist fields in our orbifold conformal field theories. The
classical McKay correspondence allows for a natural interpretation of our
results.
| [
{
"created": "Wed, 13 Jun 2001 13:08:09 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2001 01:35:33 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Mar 2002 00:56:13 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Oct 2003 11:41:12 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Nahm",
"Werner",
""
],
[
"Wendland",
"Katrin",
""
]
] | We investigate both geometric and conformal field theoretic aspects of mirror symmetry on N=(4,4) superconformal field theories with central charge c=6. Our approach enables us to determine the action of mirror symmetry on (non-stable) singular fibers in elliptic fibrations of Z_N orbifold limits of K3. The resulting map gives an automorphism of order 4,8, or 12, respectively, on the smooth universal cover of the moduli space. We explicitly derive the geometric counterparts of the twist fields in our orbifold conformal field theories. The classical McKay correspondence allows for a natural interpretation of our results. |
0907.4939 | E. Aldo Arroyo | E. Aldo Arroyo | The Tachyon Potential in the Sliver Frame | v1: 19 pages, 1 figure, 1 table; v2: 20 pages, 1 figure, 2 tables, 1
reference added, comments added; v3: 21 pages, 1 figure, 2 tables, 4
references added, comments added | JHEP 0910:056,2009 | 10.1088/1126-6708/2009/10/056 | IFT-P. 2009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the tachyon potential in the Schnabl gauge through off-shell
computations in the sliver frame. As an application of the results of our
computations, we provide a strong evidence that Schnabl's analytic solution for
tachyon condensation in open string field theory represents a saddle point
configuration of the full tachyon potential. Additionally we verify that
Schnabl's analytic solution lies on the minimum of the effective tachyon
potential.
| [
{
"created": "Tue, 28 Jul 2009 15:47:18 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Aug 2009 16:20:11 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Sep 2009 21:39:22 GMT",
"version": "v3"
}
] | 2014-10-27 | [
[
"Arroyo",
"E. Aldo",
""
]
] | We evaluate the tachyon potential in the Schnabl gauge through off-shell computations in the sliver frame. As an application of the results of our computations, we provide a strong evidence that Schnabl's analytic solution for tachyon condensation in open string field theory represents a saddle point configuration of the full tachyon potential. Additionally we verify that Schnabl's analytic solution lies on the minimum of the effective tachyon potential. |
2309.03321 | Marcel Hughes | Marcel R. R. Hughes, Samir D. Mathur and Madhur Mehta | Lifting of two-mode states in the D1-D5 CFT | 40 pages, 9 figures; v2 minor typos fixed | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT
where one copy of the seed CFT has been excited by a pair of oscillators, each
being either bosonic or fermionic. While such states are BPS at the orbifold
point, they will in general `lift' as the theory is deformed towards general
values of the couplings. We compute the expectation value of this lift at
second order in the deformation parameter for the above mentioned states. We
write this lift in terms of a fixed number of nested contour integrals on a
given integrand; this integrand depends on the mode numbers of the oscillators
in the state. We evaluate these integrals to obtain the explicit value of the
lift for various subfamilies of states. At large mode numbers one observes a
smooth increase of the lift with the dimension of the state $h$; this increase
appears to follow a $\sim \sqrt{h}$ behavior similar to that found analytically
in earlier computations for other classes of states.
| [
{
"created": "Wed, 6 Sep 2023 19:02:58 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Oct 2023 16:42:32 GMT",
"version": "v2"
}
] | 2023-10-24 | [
[
"Hughes",
"Marcel R. R.",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Mehta",
"Madhur",
""
]
] | We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where one copy of the seed CFT has been excited by a pair of oscillators, each being either bosonic or fermionic. While such states are BPS at the orbifold point, they will in general `lift' as the theory is deformed towards general values of the couplings. We compute the expectation value of this lift at second order in the deformation parameter for the above mentioned states. We write this lift in terms of a fixed number of nested contour integrals on a given integrand; this integrand depends on the mode numbers of the oscillators in the state. We evaluate these integrals to obtain the explicit value of the lift for various subfamilies of states. At large mode numbers one observes a smooth increase of the lift with the dimension of the state $h$; this increase appears to follow a $\sim \sqrt{h}$ behavior similar to that found analytically in earlier computations for other classes of states. |
0806.4365 | Matej Pavsic | Matej Pavsic | A Novel View on the Physical Origin of E8 | 14 pages | J.Phys.A41:332001,2008 | 10.1088/1751-8113/41/33/332001 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a straightforward extension of the 4-dimensional spacetime $M_4$
to the space of extended events associated with strings/branes, corresponding
to points, lines, areas, 3-volumes, and 4-volumes in $M_4$. All those objects
can be elegantly represented by the Clifford numbers $X\equiv x^A \gamma_A
\equiv x^{a_1 ...a_r} \gamma_{a_1 ...a_r}, r=0,1,2,3,4$. This leads to the
concept of the so-called Clifford space ${\cal C}$, a 16-dimensional manifold
whose tangent space at every point is the Clifford algebra ${\cal C \ell
}(1,3)$. The latter space besides an algebra is also a vector space whose
elements can be rotated into each other in two ways: (i) either by the action
of the rotation matrices of SO(8,8) on the components $x^A$ or (ii) by the left
and right action of the Clifford numbers $R=$exp$ [\alpha^A \gam_A]$ and
$S=$exp$ [\beta^A \gam_A]$ on $X$. In the latter case, one does not recover all
possible rotations of the group SO(8,8). This discrepancy between the
transformations (i) and (ii) suggests that one should replace the tangent space
${\cal C \ell}(1,3)$ with a vector space $V_{8,8}$ whose basis elements are
generators of the Clifford algebra ${\cal C \ell}(8,8)$, which contains the Lie
algebra of the exceptional group E$_8$ as a subspace. E$_8$ thus arises from
the fact that, just as in the spacetime $M_4$ there are $r$-volumes generated
by the tangent vectors of the spacetime, there are $R$-volumes,
$R=0,1,2,3,...,16$, in the Clifford space ${\cal C}$, generated by the tangent
vectors of ${\cal C}$.
| [
{
"created": "Thu, 26 Jun 2008 17:08:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Pavsic",
"Matej",
""
]
] | We consider a straightforward extension of the 4-dimensional spacetime $M_4$ to the space of extended events associated with strings/branes, corresponding to points, lines, areas, 3-volumes, and 4-volumes in $M_4$. All those objects can be elegantly represented by the Clifford numbers $X\equiv x^A \gamma_A \equiv x^{a_1 ...a_r} \gamma_{a_1 ...a_r}, r=0,1,2,3,4$. This leads to the concept of the so-called Clifford space ${\cal C}$, a 16-dimensional manifold whose tangent space at every point is the Clifford algebra ${\cal C \ell }(1,3)$. The latter space besides an algebra is also a vector space whose elements can be rotated into each other in two ways: (i) either by the action of the rotation matrices of SO(8,8) on the components $x^A$ or (ii) by the left and right action of the Clifford numbers $R=$exp$ [\alpha^A \gam_A]$ and $S=$exp$ [\beta^A \gam_A]$ on $X$. In the latter case, one does not recover all possible rotations of the group SO(8,8). This discrepancy between the transformations (i) and (ii) suggests that one should replace the tangent space ${\cal C \ell}(1,3)$ with a vector space $V_{8,8}$ whose basis elements are generators of the Clifford algebra ${\cal C \ell}(8,8)$, which contains the Lie algebra of the exceptional group E$_8$ as a subspace. E$_8$ thus arises from the fact that, just as in the spacetime $M_4$ there are $r$-volumes generated by the tangent vectors of the spacetime, there are $R$-volumes, $R=0,1,2,3,...,16$, in the Clifford space ${\cal C}$, generated by the tangent vectors of ${\cal C}$. |
hep-th/0106068 | Kazuki Ohmori | Kazuki Ohmori | Survey of the Tachyonic Lump in Bosonic String Field Theory | 29 pages, 10 figures. v2: 2 references added | JHEP 0108:011,2001 | 10.1088/1126-6708/2001/08/011 | UT-944 | hep-th | null | We study some properties of the tachyonic lumps in the level truncation
scheme of bosonic cubic string field theory. We find that several gauges work
well and that the size of the lump as well as its tension is approximately
independent of these gauge choices at level (2,4). We also examine the
fluctuation spectrum around the lump solution, and find that a tachyon with
m^2=-0.96 and some massive scalars appear on the lump world-volume. This result
strongly supports the conjecture that a codimension 1 lump solution is
identified with a D-brane of one lower dimension within the framework of
bosonic cubic string field theory.
| [
{
"created": "Fri, 8 Jun 2001 03:54:47 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2001 10:39:00 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Ohmori",
"Kazuki",
""
]
] | We study some properties of the tachyonic lumps in the level truncation scheme of bosonic cubic string field theory. We find that several gauges work well and that the size of the lump as well as its tension is approximately independent of these gauge choices at level (2,4). We also examine the fluctuation spectrum around the lump solution, and find that a tachyon with m^2=-0.96 and some massive scalars appear on the lump world-volume. This result strongly supports the conjecture that a codimension 1 lump solution is identified with a D-brane of one lower dimension within the framework of bosonic cubic string field theory. |
0910.1703 | Paul Mackay | P. T. Mackay and D. J. Toms | Quantum gravity and scalar fields | 5 pages, RevTeX, Minor correction to equation 37 | Phys. Lett. B684 (2010) 251-255 | 10.1016/j.physletb.2009.12.032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the quantization of a scalar field coupled to
gravity at one loop order. We investigate the divergences appearing in the mass
(i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt
effective action technique which guarantees that the result is gauge invariant
as well as gauge condition independent in contrast to traditional calculations.
Our final result is to identify the complete pole part of the effective action.
| [
{
"created": "Fri, 9 Oct 2009 10:36:47 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Oct 2009 13:23:17 GMT",
"version": "v2"
}
] | 2010-02-04 | [
[
"Mackay",
"P. T.",
""
],
[
"Toms",
"D. J.",
""
]
] | In this paper we consider the quantization of a scalar field coupled to gravity at one loop order. We investigate the divergences appearing in the mass (i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt effective action technique which guarantees that the result is gauge invariant as well as gauge condition independent in contrast to traditional calculations. Our final result is to identify the complete pole part of the effective action. |
hep-th/0509225 | Francesc Ferrer | Francesc Ferrer, Syksy Rasanen | Dark energy and decompactification in string gas cosmology | 23 pages, 6 figures. Published version. Added references | JHEP 0602 (2006) 016 | 10.1088/1126-6708/2006/02/016 | null | hep-th astro-ph hep-ph | null | We study the stability of extra dimensions in string gas cosmology at late
times. Vacuum energy and, interestingly, baryons lead to decompactification
after they become dynamically important. The string gas can stabilise the
effect of baryons, but not that of vacuum energy. However, we find that the
interplay of baryons and strings can lead to acceleration in the visible
dimensions, without the need for vacuum energy.
| [
{
"created": "Thu, 29 Sep 2005 19:41:24 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2006 18:01:18 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ferrer",
"Francesc",
""
],
[
"Rasanen",
"Syksy",
""
]
] | We study the stability of extra dimensions in string gas cosmology at late times. Vacuum energy and, interestingly, baryons lead to decompactification after they become dynamically important. The string gas can stabilise the effect of baryons, but not that of vacuum energy. However, we find that the interplay of baryons and strings can lead to acceleration in the visible dimensions, without the need for vacuum energy. |
hep-th/9503080 | Thom Curtright | T. L. Curtright and G. I. Ghandour | Using Functional Methods to Compute Quantum Effects in the Liouville
Model | 14 pages, latex, no figures | null | null | Miami TH/91/1 | hep-th | null | We use time-independent canonical transformation methods to discuss the
energy eigenfunctions for the simple linear potential, pedagogically setting
the stage for some field theory calculations to follow. We then discuss the
Schr\"odinger wave-functional method of calculating correlation functions for
Liouville field theory. We compare this approach to earlier treatments, in
particular we check against known weak-coupling results for the Liouville field
defined on a cylinder. Finally, we further set the stage for future Liouville
calculations on curved two-manifolds and briefly discuss simple quantum
mechanical systems with time-dependent Hamiltonians.
| [
{
"created": "Sun, 12 Mar 1995 22:04:18 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Curtright",
"T. L.",
""
],
[
"Ghandour",
"G. I.",
""
]
] | We use time-independent canonical transformation methods to discuss the energy eigenfunctions for the simple linear potential, pedagogically setting the stage for some field theory calculations to follow. We then discuss the Schr\"odinger wave-functional method of calculating correlation functions for Liouville field theory. We compare this approach to earlier treatments, in particular we check against known weak-coupling results for the Liouville field defined on a cylinder. Finally, we further set the stage for future Liouville calculations on curved two-manifolds and briefly discuss simple quantum mechanical systems with time-dependent Hamiltonians. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.