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/0411045 | Hong Lu | Z.-W. Chong, M. Cvetic, H. Lu and C.N. Pope | Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged
Supergravities | Latex, 30 pages | Nucl.Phys.B717:246-271,2005 | 10.1016/j.nuclphysb.2005.03.034 | MIFP-04-20, UPR-1096-T | hep-th | null | We study four-dimensional non-extremal charged rotating black holes in
ungauged and gauged supergravity. In the ungauged case, we obtain rotating
black holes with four independent charges, as solutions of N=2 supergravity
coupled to three abelian vector multiplets. This is done by reducing the theory
along the time direction to three dimensions, where it has an O(4,4) global
symmetry. Applied to the reduction of the uncharged Kerr metric,
O(1,1)^4\subset O(4,4) transformations generate new solutions that correspond,
after lifting back to four dimensions, to the introduction of four independent
electromagnetic charges. In the case where these charges are set pairwise
equal, we then generalise the four-dimensional rotating black holes to
solutions of gauged N=4 supergravity, with mass, angular momentum and two
independent electromagnetic charges. The dilaton and axion fields are
non-constant. We also find generalisations of the gauged and ungauged solutions
to include the NUT parameter, and for the ungauged solutions, the acceleration
parameter too. The solutions in gauged supergravity provide new gravitational
backgrounds for a further study of the AdS_4/CFT_3 correspondence at non-zero
temperature.
| [
{
"created": "Thu, 4 Nov 2004 18:34:28 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Chong",
"Z. -W.",
""
],
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We study four-dimensional non-extremal charged rotating black holes in ungauged and gauged supergravity. In the ungauged case, we obtain rotating black holes with four independent charges, as solutions of N=2 supergravity coupled to three abelian vector multiplets. This is done by reducing the theory along the time direction to three dimensions, where it has an O(4,4) global symmetry. Applied to the reduction of the uncharged Kerr metric, O(1,1)^4\subset O(4,4) transformations generate new solutions that correspond, after lifting back to four dimensions, to the introduction of four independent electromagnetic charges. In the case where these charges are set pairwise equal, we then generalise the four-dimensional rotating black holes to solutions of gauged N=4 supergravity, with mass, angular momentum and two independent electromagnetic charges. The dilaton and axion fields are non-constant. We also find generalisations of the gauged and ungauged solutions to include the NUT parameter, and for the ungauged solutions, the acceleration parameter too. The solutions in gauged supergravity provide new gravitational backgrounds for a further study of the AdS_4/CFT_3 correspondence at non-zero temperature. |
hep-th/9307042 | null | B. Harms and Y. Leblanc | Conjectures on Non-Local Effects in String Black Holes | 16 pages, REVTEX | Ann.Phys.242:265-274,1995 | 10.1006/aphy.1995.1080 | null | hep-th | null | We consider modifications to general relativity by the non-local (classical
and quantum) string effects for the case of a D-dimensional Scwarzschild black
hole. The classical non-local effects do not alter the spacetime topology (the
horizon remains unshifted, at least perturbatively). We suggest a simple
analytic continuation of the perturbative result into the non-perturbative
domain, which eliminates the black hole singularity at the origin and yields an
ultraviolet-finite theory of quantum gravity. We investigate the quantum non-
local effects (including massive modes) and argue that the inclusion of these
back reactions resolves the problem of the thermal spectrum in the semi-
classical approach of field quantization in a black hole background, through
the bootstrap condition. The density of states for both the quantum and thermal
interpretation of the WKB formula are finally shown to differ quant- itatively
when including the non-local effects.
| [
{
"created": "Tue, 6 Jul 1993 20:18:55 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Harms",
"B.",
""
],
[
"Leblanc",
"Y.",
""
]
] | We consider modifications to general relativity by the non-local (classical and quantum) string effects for the case of a D-dimensional Scwarzschild black hole. The classical non-local effects do not alter the spacetime topology (the horizon remains unshifted, at least perturbatively). We suggest a simple analytic continuation of the perturbative result into the non-perturbative domain, which eliminates the black hole singularity at the origin and yields an ultraviolet-finite theory of quantum gravity. We investigate the quantum non- local effects (including massive modes) and argue that the inclusion of these back reactions resolves the problem of the thermal spectrum in the semi- classical approach of field quantization in a black hole background, through the bootstrap condition. The density of states for both the quantum and thermal interpretation of the WKB formula are finally shown to differ quant- itatively when including the non-local effects. |
0704.1727 | Gustavo Niz | Gustavo Niz and Neil Turok | Stringy corrections to a time-dependent background solution of string
and M-Theory | 22 pages, 4 figures | Phys.Rev.D75:126004,2007 | 10.1103/PhysRevD.75.126004 | Phys.Rev.D75:126004,2007. | hep-th | null | We consider one of the simplest time-dependent backgrounds in M-theory,
describing the shrinking away of the M-theory dimension with the other spatial
dimensions static. As the M-theory dimension becomes small, the situation
becomes well-described by string theory in a singular cosmological background
where the string coupling tends to zero but the $\alpha'$-corrections become
large, near the cosmic singularity. We compute these $\alpha'$-corrections,
both for the background and for linearized perturbations, in heterotic string
theory, and show they may be reproduced by a map from eleven-dimensional
M-theory.
| [
{
"created": "Fri, 13 Apr 2007 09:46:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Niz",
"Gustavo",
""
],
[
"Turok",
"Neil",
""
]
] | We consider one of the simplest time-dependent backgrounds in M-theory, describing the shrinking away of the M-theory dimension with the other spatial dimensions static. As the M-theory dimension becomes small, the situation becomes well-described by string theory in a singular cosmological background where the string coupling tends to zero but the $\alpha'$-corrections become large, near the cosmic singularity. We compute these $\alpha'$-corrections, both for the background and for linearized perturbations, in heterotic string theory, and show they may be reproduced by a map from eleven-dimensional M-theory. |
1305.0011 | Oriol Pujolas | Grigory Bednik, Oriol Pujolas, Sergey Sibiryakov | Emergent Lorentz invariance from Strong Dynamics: Holographic examples | 47 pages, 4 figures. References added. Typo in figure 1 fixed | null | 10.1007/JHEP11(2013)064 | null | hep-th cond-mat.str-el gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the phenomenon of emergent Lorentz invariance in strongly coupled
theories. The strong dynamics is handled using the gauge/gravity
correspondence. We analyze how the renormalization group flow towards Lorentz
invariance is reflected in the two-point functions of local operators and in
the dispersion relations of the bound states. The deviations of these
observables from the relativistic form at low energies are found to be
power-law suppressed by the ratio of the infrared and ultraviolet scales. We
show that in a certain subclass of models the velocities of the light bound
states stay close to the emergent `speed of light' even at high energies. We
comment on the implications of our results for particle physics and condensed
matter.
| [
{
"created": "Tue, 30 Apr 2013 20:00:14 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2013 14:10:56 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Nov 2014 21:15:03 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Bednik",
"Grigory",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Sibiryakov",
"Sergey",
""
]
] | We explore the phenomenon of emergent Lorentz invariance in strongly coupled theories. The strong dynamics is handled using the gauge/gravity correspondence. We analyze how the renormalization group flow towards Lorentz invariance is reflected in the two-point functions of local operators and in the dispersion relations of the bound states. The deviations of these observables from the relativistic form at low energies are found to be power-law suppressed by the ratio of the infrared and ultraviolet scales. We show that in a certain subclass of models the velocities of the light bound states stay close to the emergent `speed of light' even at high energies. We comment on the implications of our results for particle physics and condensed matter. |
hep-th/9703161 | Joachim Maeder | S. Balaska, J. Maeder and W. Ruehl | The Continuous Series of Critical Points of the Two-Matrix Model at N ->
infinity in the Double Scaling Limit | 24 pages, LaTeX | Nucl.Phys. B520 (1998) 411-432 | 10.1016/S0550-3213(98)00080-7 | KL-TH 97/4 | hep-th | null | The critical points of the continuous series are characterized by two complex
numbers l_1,l_2 (Re(l_1,l_2)< 0), and a natural number n (n>=3) which enters
the string susceptibility constant through gamma = -2/(n-1). The critical
potentials are analytic functions with a convergence radius depending on l_1 or
l_2. We use the orthogonal polynomial method and solve the Schwinger-Dyson
equations with a technique borrowed from conformal field theory.
| [
{
"created": "Mon, 24 Mar 1997 13:14:18 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Balaska",
"S.",
""
],
[
"Maeder",
"J.",
""
],
[
"Ruehl",
"W.",
""
]
] | The critical points of the continuous series are characterized by two complex numbers l_1,l_2 (Re(l_1,l_2)< 0), and a natural number n (n>=3) which enters the string susceptibility constant through gamma = -2/(n-1). The critical potentials are analytic functions with a convergence radius depending on l_1 or l_2. We use the orthogonal polynomial method and solve the Schwinger-Dyson equations with a technique borrowed from conformal field theory. |
1411.5581 | Evgeny Shaverin | Evgeny Shaverin and Amos Yarom | An anomalous propulsion mechanism | 13 pages | null | null | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a gas of free chiral fermions trapped inside a uniform rotating
spherical shell. Once the shell becomes transparent the fermions are emitted
along the axis of rotation due to the chiral and mixed anomaly. In return,
owing to momentum conservation, the shell is propelled forward. We study the
dependence of the magnitude of this effect on the shell parameters in a
controlled setting and find that it is sensitive to the formation of an
ergosphere around the rotating shell. A brief discussion on a possible relation
to pulsar kicks is provided.
| [
{
"created": "Thu, 20 Nov 2014 15:54:04 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Shaverin",
"Evgeny",
""
],
[
"Yarom",
"Amos",
""
]
] | We consider a gas of free chiral fermions trapped inside a uniform rotating spherical shell. Once the shell becomes transparent the fermions are emitted along the axis of rotation due to the chiral and mixed anomaly. In return, owing to momentum conservation, the shell is propelled forward. We study the dependence of the magnitude of this effect on the shell parameters in a controlled setting and find that it is sensitive to the formation of an ergosphere around the rotating shell. A brief discussion on a possible relation to pulsar kicks is provided. |
hep-th/9903162 | Dr Ian Kogan | Ian I. Kogan | Singletons and Logarithmic CFT in ADS/CFT correspondence | 13 pages, LaTex file, corrected typos | Phys.Lett. B458 (1999) 66-72 | 10.1016/S0370-2693(99)00576-6 | OUPT-99-16-P | hep-th | null | We discuss a possible relation between singletons in $AdS$ space and
logarithmic conformal field theories at the boundary of $AdS$. It is shown that
the bulk Lagrangian for singleton field (singleton dipole) induces on the
boundary the two-point correlation function for logarithmic pair. Bulk
interpretation of mixing between logarithmic operator $D$ and zero mode
operator $C$ under the scale transformation is discussed as well as some other
issues.
| [
{
"created": "Thu, 18 Mar 1999 17:50:51 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Apr 1999 12:01:55 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kogan",
"Ian I.",
""
]
] | We discuss a possible relation between singletons in $AdS$ space and logarithmic conformal field theories at the boundary of $AdS$. It is shown that the bulk Lagrangian for singleton field (singleton dipole) induces on the boundary the two-point correlation function for logarithmic pair. Bulk interpretation of mixing between logarithmic operator $D$ and zero mode operator $C$ under the scale transformation is discussed as well as some other issues. |
1102.2885 | Micha{\l} Spali\'nski | Ivan Booth, Michal P. Heller, Grzegorz Plewa, Michal Spalinski | On the apparent horizon in fluid-gravity duality | null | Phys.Rev.D83:106005,2011 | 10.1103/PhysRevD.83.106005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article develops a computational framework for determining the location
of boundary-covariant apparent horizons in the geometry of conformal
fluid-gravity duality in arbitrary dimensions. In particular, it is shown up to
second order and conjectured to hold to all orders in the gradient expansion
that there is a unique apparent horizon which is covariantly expressible in
terms of fluid velocity, temperature and boundary metric. This leads to the
first explicit example of an entropy current defined by an apparent horizon and
opens the possibility that in the near-equilibrium regime there is preferred
foliation of apparent horizons for black holes in asymptotically-AdS
spacetimes.
| [
{
"created": "Mon, 14 Feb 2011 20:50:38 GMT",
"version": "v1"
}
] | 2011-05-19 | [
[
"Booth",
"Ivan",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Plewa",
"Grzegorz",
""
],
[
"Spalinski",
"Michal",
""
]
] | This article develops a computational framework for determining the location of boundary-covariant apparent horizons in the geometry of conformal fluid-gravity duality in arbitrary dimensions. In particular, it is shown up to second order and conjectured to hold to all orders in the gradient expansion that there is a unique apparent horizon which is covariantly expressible in terms of fluid velocity, temperature and boundary metric. This leads to the first explicit example of an entropy current defined by an apparent horizon and opens the possibility that in the near-equilibrium regime there is preferred foliation of apparent horizons for black holes in asymptotically-AdS spacetimes. |
1208.4825 | Olga Kichakova | Olga Kichakova, Jutta Kunz, Eugen Radu and Yasha Shnir | Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime | 13 pages, 3 figures | null | 10.1103/PhysRevD.86.104065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in
globally AdS spacetime and a fixed Schwarzschild-AdS black hole background. The
solutions are characterized by two integers $(m,n)$ where $m$ is related to the
polar angle and $n$ to the azimuthal angle. Two types of finite energy, regular
configurations are considered: solutions with net magnetic charge $n>1$ and
monopole-antimonopole pairs and chains with zero net magnetic charge. The
configurations are endowed with an electric charge and carry also a
nonvanishing angular momentum density.
| [
{
"created": "Thu, 23 Aug 2012 18:34:48 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2012 10:58:48 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Kichakova",
"Olga",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Radu",
"Eugen",
""
],
[
"Shnir",
"Yasha",
""
]
] | We consider axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in globally AdS spacetime and a fixed Schwarzschild-AdS black hole background. The solutions are characterized by two integers $(m,n)$ where $m$ is related to the polar angle and $n$ to the azimuthal angle. Two types of finite energy, regular configurations are considered: solutions with net magnetic charge $n>1$ and monopole-antimonopole pairs and chains with zero net magnetic charge. The configurations are endowed with an electric charge and carry also a nonvanishing angular momentum density. |
1801.06260 | Qun Wang | Jian Deng, Soeren Schlichting, Raju Venugopalan, Qun Wang | Off-equilibrium infrared structure of self-interacting scalar fields:
Universal scaling, Vortex-antivortex superfluid dynamics and Bose-Einstein
condensation | RevTex 4, 22 pages, 9 figures. Minor revision. The version to be
published in PRA | Phys. Rev. A 97, 053606 (2018) | 10.1103/PhysRevA.97.053606 | ICTS-USTC-18-01 | hep-th cond-mat.quant-gas nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We map the infrared dynamics of a relativistic single component ($N=1$)
interacting scalar field theory to that of nonrelativistic complex scalar
fields. The Gross-Pitaevskii (GP) equation, describing the real time dynamics
of single component ultracold Bose gases, is obtained at first nontrivial order
in an expansion proportional to the powers of $\lambda \phi^2/m^2$ where
$\lambda$, $\phi$ and $m$ are the coupling constant, the scalar field and the
particle mass respectively. Our analytical studies are corroborated by
numerical simulations of the spatial and momentum structure of overoccupied
scalar fields in (2+1)-dimensions. Universal scaling of infrared modes,
vortex-antivortex superfluid dynamics and the off-equilibrium formation of a
Bose-Einstein condensate are observed. Our results for the universal scaling
exponents are in agreement with those extracted in the numerical simulations of
the GP equation. As in these simulations, we observe coarsening phase kinetics
in the Bose superfluid with strongly anomalous scaling exponents relative to
that of vertex resummed kinetic theory. Our relativistic field theory framework
further allows one to study more closely the coupling between superfluid and
normal fluid modes, specifically the turbulent momentum and spatial structure
of the coupling between a quasi-particle cascade to the infrared and an energy
cascade to the ultraviolet. We outline possible applications of the formalism
to the dynamics of vortex-antivortex formation and to the off-equilibrium
dynamics of the strongly interacting matter formed in heavy-ion collisions.
| [
{
"created": "Fri, 19 Jan 2018 00:10:49 GMT",
"version": "v1"
},
{
"created": "Sat, 12 May 2018 01:37:45 GMT",
"version": "v2"
}
] | 2018-05-16 | [
[
"Deng",
"Jian",
""
],
[
"Schlichting",
"Soeren",
""
],
[
"Venugopalan",
"Raju",
""
],
[
"Wang",
"Qun",
""
]
] | We map the infrared dynamics of a relativistic single component ($N=1$) interacting scalar field theory to that of nonrelativistic complex scalar fields. The Gross-Pitaevskii (GP) equation, describing the real time dynamics of single component ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of $\lambda \phi^2/m^2$ where $\lambda$, $\phi$ and $m$ are the coupling constant, the scalar field and the particle mass respectively. Our analytical studies are corroborated by numerical simulations of the spatial and momentum structure of overoccupied scalar fields in (2+1)-dimensions. Universal scaling of infrared modes, vortex-antivortex superfluid dynamics and the off-equilibrium formation of a Bose-Einstein condensate are observed. Our results for the universal scaling exponents are in agreement with those extracted in the numerical simulations of the GP equation. As in these simulations, we observe coarsening phase kinetics in the Bose superfluid with strongly anomalous scaling exponents relative to that of vertex resummed kinetic theory. Our relativistic field theory framework further allows one to study more closely the coupling between superfluid and normal fluid modes, specifically the turbulent momentum and spatial structure of the coupling between a quasi-particle cascade to the infrared and an energy cascade to the ultraviolet. We outline possible applications of the formalism to the dynamics of vortex-antivortex formation and to the off-equilibrium dynamics of the strongly interacting matter formed in heavy-ion collisions. |
1401.7014 | Ashoke Sen | Roji Pius, Arnab Rudra, Ashoke Sen | Mass Renormalization in String Theory: General States | LaTeX file, 40 pages; v2: minor typos corrected | null | 10.1007/JHEP07(2014)062 | DAMTP-2014-1, HRI/ST/1401 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous paper we described a procedure for computing the renormalized
masses and S-matrix elements in bosonic string theory for a special class of
massive states which do not mix with unphysical states under renormalization.
In this paper we extend this result to general states in bosonic string theory,
and argue that only the squares of renormalized physical masses appear as the
locations of the poles of the S-matrix of other physical states. We also
discuss generalizations to Neveu-Schwarz sector states in heterotic and
superstring theories.
| [
{
"created": "Mon, 27 Jan 2014 21:00:16 GMT",
"version": "v1"
},
{
"created": "Wed, 14 May 2014 21:28:51 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Pius",
"Roji",
""
],
[
"Rudra",
"Arnab",
""
],
[
"Sen",
"Ashoke",
""
]
] | In a previous paper we described a procedure for computing the renormalized masses and S-matrix elements in bosonic string theory for a special class of massive states which do not mix with unphysical states under renormalization. In this paper we extend this result to general states in bosonic string theory, and argue that only the squares of renormalized physical masses appear as the locations of the poles of the S-matrix of other physical states. We also discuss generalizations to Neveu-Schwarz sector states in heterotic and superstring theories. |
2403.07079 | Wei Li | Giulia Fardelli, A. Liam Fitzpatrick, Wei Li | Holography and Regge Phases with $U(1)$ Charge | 88 pages, many nice figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We use holography to study the large spin $J$ limit of the spectrum of low
energy states with charge $Q$ under a $U(1)$ conserved current in CFTs in $d>2$
dimensions, with a focus on $d=3$ and $d=4$. For $Q=2$, the spectrum of such
states is known to be universal and properly captured by the long-distance
limit of holographic theories, regardless of whether the CFT itself is
holographic. We study in detail the holographic description of such states at
$Q>2$, by considering the contribution to the energies of $Q$ scalar particles
coming from single photon and graviton exchange in the bulk of AdS; in some
cases, scalar exchange and bulk contact terms are also included. For a range of
finite values of $Q$ and $J$, we numerically diagonalize the Hamiltonian for
such states and examine the resulting spectrum and wavefunctions as a function
of the dimension $\Delta$ of the charge-one operator and the central charges
$c_{\mathcal{T}}, c_{\mathcal{J}}$ of the stress tensor and U(1) current,
finding multiple regions in parameter space with qualitatively different
behavior. We discuss the extension of these results to the regime of
parametrically large charge $Q$, as well as to what extent such results are
expected to hold universally, beyond the limit of holographic CFTs. We compare
our holographic computations to results from the conformal bootstrap for the
$3d$ O(2) model at $Q=3$ and $Q=4$ and find excellent agreement.
| [
{
"created": "Mon, 11 Mar 2024 18:11:09 GMT",
"version": "v1"
}
] | 2024-03-13 | [
[
"Fardelli",
"Giulia",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Li",
"Wei",
""
]
] | We use holography to study the large spin $J$ limit of the spectrum of low energy states with charge $Q$ under a $U(1)$ conserved current in CFTs in $d>2$ dimensions, with a focus on $d=3$ and $d=4$. For $Q=2$, the spectrum of such states is known to be universal and properly captured by the long-distance limit of holographic theories, regardless of whether the CFT itself is holographic. We study in detail the holographic description of such states at $Q>2$, by considering the contribution to the energies of $Q$ scalar particles coming from single photon and graviton exchange in the bulk of AdS; in some cases, scalar exchange and bulk contact terms are also included. For a range of finite values of $Q$ and $J$, we numerically diagonalize the Hamiltonian for such states and examine the resulting spectrum and wavefunctions as a function of the dimension $\Delta$ of the charge-one operator and the central charges $c_{\mathcal{T}}, c_{\mathcal{J}}$ of the stress tensor and U(1) current, finding multiple regions in parameter space with qualitatively different behavior. We discuss the extension of these results to the regime of parametrically large charge $Q$, as well as to what extent such results are expected to hold universally, beyond the limit of holographic CFTs. We compare our holographic computations to results from the conformal bootstrap for the $3d$ O(2) model at $Q=3$ and $Q=4$ and find excellent agreement. |
2108.04025 | Kang Zhou | Kang Zhou | On differential operators and unifying relations for $1$-loop Feynman
integrands | 42 pages, 3 figures, 4 tables | null | 10.1007/JHEP10(2021)150 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We generalize the unifying relations for tree amplitudes to the $1$-loop
Feynman integrands. By employing the $1$-loop CHY formula, we construct
differential operators which transmute the $1$-loop gravitational Feynman
integrand to Feynman integrands for a wide range of theories, include
Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory,
Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory,
bi-adjoint scalar theory, non-linear sigma model, as well as special Galileon
theory. The unified web at $1$-loop level is established. Under the well known
unitarity cut, the $1$-loop level operators will factorize into two tree level
operators. Such factorization is also discussed.
| [
{
"created": "Mon, 9 Aug 2021 13:28:35 GMT",
"version": "v1"
}
] | 2021-11-03 | [
[
"Zhou",
"Kang",
""
]
] | We generalize the unifying relations for tree amplitudes to the $1$-loop Feynman integrands. By employing the $1$-loop CHY formula, we construct differential operators which transmute the $1$-loop gravitational Feynman integrand to Feynman integrands for a wide range of theories, include Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory, bi-adjoint scalar theory, non-linear sigma model, as well as special Galileon theory. The unified web at $1$-loop level is established. Under the well known unitarity cut, the $1$-loop level operators will factorize into two tree level operators. Such factorization is also discussed. |
1503.07934 | Lee Peng Teo | L. P. Teo | Ferminoic Casimir effect between spheres | 14 pages | null | 10.1103/PhysRevD.91.085034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Casimir interaction between two spheres corresponding to
massless Dirac fields with MIT-bag boundary conditions. Using operator
approach, we derive the TGTG-formula for the Casimir interaction energy between
the two spheres. A byproduct is the explicit formula for the translation matrix
that relates the fermionic spherical waves in different coordinate systems. In
the large separation limit, it is found that the order of the Casimir
interaction energy is $L^{-5}$, where $L$ is the separation between the centers
of the spheres. This order is intermediate between that of two Dirichlet
spheres (of order $L^{-3}$) and two Neumann spheres (of order $L^{-7}$). In the
small separation limit, we derive analytically the asymptotic expansion of the
Casimir interaction energy up to the next-to-leading order term. The leading
term agrees with the proximity force approximation. The result for the
next-to-leading order term is compared to the corresponding results for scalar
fields and electromagnetic fields.
| [
{
"created": "Fri, 27 Mar 2015 00:45:06 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Teo",
"L. P.",
""
]
] | We consider the Casimir interaction between two spheres corresponding to massless Dirac fields with MIT-bag boundary conditions. Using operator approach, we derive the TGTG-formula for the Casimir interaction energy between the two spheres. A byproduct is the explicit formula for the translation matrix that relates the fermionic spherical waves in different coordinate systems. In the large separation limit, it is found that the order of the Casimir interaction energy is $L^{-5}$, where $L$ is the separation between the centers of the spheres. This order is intermediate between that of two Dirichlet spheres (of order $L^{-3}$) and two Neumann spheres (of order $L^{-7}$). In the small separation limit, we derive analytically the asymptotic expansion of the Casimir interaction energy up to the next-to-leading order term. The leading term agrees with the proximity force approximation. The result for the next-to-leading order term is compared to the corresponding results for scalar fields and electromagnetic fields. |
hep-th/0408234 | Cristian Stelea | Robert Mann and Cristian Stelea | On the Thermodynamics of NUT charged spaces | 35pages, 4 figures. v.4 references added,few typos corrected, to
appear in Phys. Rev. D | Phys.Rev. D72 (2005) 084032 | 10.1103/PhysRevD.72.084032 | null | hep-th gr-qc | null | We discuss and compare at length the results of two methods used recently to
describe the thermodynamics of Taub-NUT solutions in a deSitter background. In
the first approach ($\mathbb{% C}$-approach), one deals with an analytically
continued version of the metric while in the second approach
($\mathbb{R}$-approach), the discussion is carried out using the unmodified
metric with Lorentzian signature. No analytic continuation is performed on the
coordinates and/or the parameters that appear in the metric. We find that the
results of both these approaches are completely equivalent modulo analytic
continuation and we provide the exact prescription that relates the results in
both methods. The extension of these results to the AdS/flat cases aims to give
a physical interpretation of the thermodynamics of nut-charged spacetimes in
the Lorentzian sector. We also briefly discuss the higher dimensional spaces
and note that, analogous with the absence of hyperbolic nuts in AdS
backgrounds, there are no spherical Taub-Nut-dS solutions.
| [
{
"created": "Mon, 30 Aug 2004 22:56:56 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Sep 2004 21:25:09 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Aug 2005 22:20:25 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Oct 2005 00:10:59 GMT",
"version": "v4"
}
] | 2013-05-29 | [
[
"Mann",
"Robert",
""
],
[
"Stelea",
"Cristian",
""
]
] | We discuss and compare at length the results of two methods used recently to describe the thermodynamics of Taub-NUT solutions in a deSitter background. In the first approach ($\mathbb{% C}$-approach), one deals with an analytically continued version of the metric while in the second approach ($\mathbb{R}$-approach), the discussion is carried out using the unmodified metric with Lorentzian signature. No analytic continuation is performed on the coordinates and/or the parameters that appear in the metric. We find that the results of both these approaches are completely equivalent modulo analytic continuation and we provide the exact prescription that relates the results in both methods. The extension of these results to the AdS/flat cases aims to give a physical interpretation of the thermodynamics of nut-charged spacetimes in the Lorentzian sector. We also briefly discuss the higher dimensional spaces and note that, analogous with the absence of hyperbolic nuts in AdS backgrounds, there are no spherical Taub-Nut-dS solutions. |
1205.4732 | Steven B. Giddings | Steven B. Giddings and Yinbo Shi | Quantum information transfer and models for black hole mechanics | 31 pages, harvmac. v2: nomenclature change, minor added explanation.
v3: small corrections/rewordings; improved figure; version to match
publication in PRD | null | 10.1103/PhysRevD.87.064031 | NSF-KITP-12-098 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General features of information transfer between quantum subsystems, via
unitary evolution, are investigated, with applications to the problem of
information transfer from a black hole to its surroundings. A particularly
direct form of quantum information transfer is "subspace transfer," which can
be characterized by saturation of a subadditivity inequality. We also describe
more general unitary quantum information transfer, and categorize different
models for black hole evolution. Evolution that only creates paired excitations
inside/outside the black hole is shown not to extract information, but
information-transferring models exist both in the "saturating" and
"non-saturating" category. The former more closely capture thermodynamic
behavior; the latter generically have enhanced energy flux, beyond that of
Hawking.
| [
{
"created": "Mon, 21 May 2012 20:05:10 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Jul 2012 18:48:25 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Jan 2013 23:09:38 GMT",
"version": "v3"
}
] | 2015-03-20 | [
[
"Giddings",
"Steven B.",
""
],
[
"Shi",
"Yinbo",
""
]
] | General features of information transfer between quantum subsystems, via unitary evolution, are investigated, with applications to the problem of information transfer from a black hole to its surroundings. A particularly direct form of quantum information transfer is "subspace transfer," which can be characterized by saturation of a subadditivity inequality. We also describe more general unitary quantum information transfer, and categorize different models for black hole evolution. Evolution that only creates paired excitations inside/outside the black hole is shown not to extract information, but information-transferring models exist both in the "saturating" and "non-saturating" category. The former more closely capture thermodynamic behavior; the latter generically have enhanced energy flux, beyond that of Hawking. |
1412.6380 | Michael Abbott | Michael C. Abbott, In\^es Aniceto | Macroscopic (and Microscopic) Massless Modes | 32 pages, 2 figures. v2 corrects equation (64) and our normalisation
of mass, and matches the published version | Nucl. Phys. B 894 (2015) 75-107 | 10.1016/j.nuclphysb.2015.02.022 | QGASLAB-14-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study certain spinning strings exploring the flat directions of AdS3 x S3
x S3 x S1, the massless sector cousins of su(2) and sl(2) sector spinning
strings. We describe these, and their vibrational modes, using the
D(2,1;\alpha)^2 algebraic curve. By exploiting a discrete symmetry of this
structure which reverses the direction of motion on the spheres, and alters the
masses of the fermionic modes s \to 1-s, we find out how to treat the massless
fermions which were previously missing from this formalism. We show that folded
strings behave as a special case of circular strings, in a sense which includes
their mode frequencies, and we are able to recover this fact in the worldsheet
formalism. We use these frequencies to calculate one-loop corrections to the
energy, with a version of the Beisert-Tseytlin resummation.
| [
{
"created": "Fri, 19 Dec 2014 15:34:51 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2015 18:37:38 GMT",
"version": "v2"
}
] | 2015-03-11 | [
[
"Abbott",
"Michael C.",
""
],
[
"Aniceto",
"Inês",
""
]
] | We study certain spinning strings exploring the flat directions of AdS3 x S3 x S3 x S1, the massless sector cousins of su(2) and sl(2) sector spinning strings. We describe these, and their vibrational modes, using the D(2,1;\alpha)^2 algebraic curve. By exploiting a discrete symmetry of this structure which reverses the direction of motion on the spheres, and alters the masses of the fermionic modes s \to 1-s, we find out how to treat the massless fermions which were previously missing from this formalism. We show that folded strings behave as a special case of circular strings, in a sense which includes their mode frequencies, and we are able to recover this fact in the worldsheet formalism. We use these frequencies to calculate one-loop corrections to the energy, with a version of the Beisert-Tseytlin resummation. |
2211.11079 | Rose Baunach | Arsalan Adil, Andreas Albrecht, Rose Baunach, R. Holman, Raquel H.
Ribeiro, Benoit J. Richard | Entanglement masquerading in the CMB | 37 pages, 12 figures, 3 appendices. V2: Final version accepted for
publication in JCAP. Changes: References added and minor clarifications to
the presentation. Our results and conclusions are unchanged | null | 10.1088/1475-7516/2023/06/024 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The simplest single-field inflation models capture all the relevant
contributions to the patterns in the Cosmic Microwave Background (CMB) observed
today. A key assumption in these models is that the quantum inflationary
fluctuations that source such patterns are generated by a particular quantum
state -- the Bunch-Davies (BD) state. While this is a well-motivated choice
from a theoretical perspective, the question arises of whether current data can
rule out other, also well motivated, choices of states. In particular, as we
previously demonstrated in arXiv:2104.13410 [hep-th], entanglement is naturally
and inevitably dynamically generated during inflation given the presence of a
"rolling" spectator scalar field -- and the resulting entangled state will
yield a primordial power spectrum with potentially measurable deviations
compared to the canonical BD result. For this work we developed a perturbative
framework to allow a systematic exploration of constraints on (or detection of)
entangled states with Planck CMB data using Monte Carlo techniques. We have
found that most entangled states accessible with our framework are consistent
with the data. One would have to expand the framework to allow a greater
variety of entangled states in order to saturate the Planck constraints and
more systematically explore any preferences the data may have among the
different possibilities.
| [
{
"created": "Sun, 20 Nov 2022 20:35:11 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 2023 00:31:02 GMT",
"version": "v2"
}
] | 2023-07-04 | [
[
"Adil",
"Arsalan",
""
],
[
"Albrecht",
"Andreas",
""
],
[
"Baunach",
"Rose",
""
],
[
"Holman",
"R.",
""
],
[
"Ribeiro",
"Raquel H.",
""
],
[
"Richard",
"Benoit J.",
""
]
] | The simplest single-field inflation models capture all the relevant contributions to the patterns in the Cosmic Microwave Background (CMB) observed today. A key assumption in these models is that the quantum inflationary fluctuations that source such patterns are generated by a particular quantum state -- the Bunch-Davies (BD) state. While this is a well-motivated choice from a theoretical perspective, the question arises of whether current data can rule out other, also well motivated, choices of states. In particular, as we previously demonstrated in arXiv:2104.13410 [hep-th], entanglement is naturally and inevitably dynamically generated during inflation given the presence of a "rolling" spectator scalar field -- and the resulting entangled state will yield a primordial power spectrum with potentially measurable deviations compared to the canonical BD result. For this work we developed a perturbative framework to allow a systematic exploration of constraints on (or detection of) entangled states with Planck CMB data using Monte Carlo techniques. We have found that most entangled states accessible with our framework are consistent with the data. One would have to expand the framework to allow a greater variety of entangled states in order to saturate the Planck constraints and more systematically explore any preferences the data may have among the different possibilities. |
hep-th/9212103 | Kanehisa Takasaki | Kanehisa Takasaki | Dressing operator approach to Moyal algebraic deformation of selfdual
gravity | 10 pages, Kyoto University KUCP-0054/92 | J. Geom. Phys. 14 (1994) 111-120 | 10.1016/0393-0440(94)90003-5 | null | hep-th | null | Recently Strachan introduced a Moyal algebraic deformation of selfdual
gravity, replacing a Poisson bracket of the Plebanski equation by a Moyal
bracket. The dressing operator method in soliton theory can be extended to this
Moyal algebraic deformation of selfdual gravity. Dressing operators are defined
as Laurent series with coefficients in the Moyal (or star product) algebra, and
turn out to satisfy a factorization relation similar to the case of the KP and
Toda hierarchies. It is a loop algebra of the Moyal algebra (i.e., of a
$W_\infty$ algebra) and an associated loop group that characterize this
factorization relation. The nonlinear problem is linearized on this loop group
and turns out to be integrable.
| [
{
"created": "Thu, 17 Dec 1992 05:37:38 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Takasaki",
"Kanehisa",
""
]
] | Recently Strachan introduced a Moyal algebraic deformation of selfdual gravity, replacing a Poisson bracket of the Plebanski equation by a Moyal bracket. The dressing operator method in soliton theory can be extended to this Moyal algebraic deformation of selfdual gravity. Dressing operators are defined as Laurent series with coefficients in the Moyal (or star product) algebra, and turn out to satisfy a factorization relation similar to the case of the KP and Toda hierarchies. It is a loop algebra of the Moyal algebra (i.e., of a $W_\infty$ algebra) and an associated loop group that characterize this factorization relation. The nonlinear problem is linearized on this loop group and turns out to be integrable. |
2301.13011 | Riccardo Falcone | Riccardo Falcone, Claudio Conti | Frame-dependence of the non-relativistic limit of quantum fields | null | Phys. Rev. D 107, 085016 (2023) | 10.1103/PhysRevD.107.085016 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-relativistic limit of quantum fields for an inertial and a
non-inertial observer. We show that non-relativistic particle states appear as
a superposition of relativistic and non-relativistic particles in different
frames. Hence, the non-relativistic limit is frame-dependent. We detail this
result when the non-inertial observer has uniform constant acceleration. Only
for low accelerations, the accelerated observer agrees with the inertial frame
about the non-relativistic nature of particles locally. In such a
quasi-inertial regime, both observers agree about the number of particles
describing quantum field states. The same does not occur when the acceleration
is arbitrarily large (e.g., the Unruh effect). We furthermore prove that wave
functions of particles in the inertial and the quasi-inertial frame are
identical up to the coordinate transformation relating the two frames.
| [
{
"created": "Mon, 30 Jan 2023 15:50:35 GMT",
"version": "v1"
}
] | 2023-06-06 | [
[
"Falcone",
"Riccardo",
""
],
[
"Conti",
"Claudio",
""
]
] | We study the non-relativistic limit of quantum fields for an inertial and a non-inertial observer. We show that non-relativistic particle states appear as a superposition of relativistic and non-relativistic particles in different frames. Hence, the non-relativistic limit is frame-dependent. We detail this result when the non-inertial observer has uniform constant acceleration. Only for low accelerations, the accelerated observer agrees with the inertial frame about the non-relativistic nature of particles locally. In such a quasi-inertial regime, both observers agree about the number of particles describing quantum field states. The same does not occur when the acceleration is arbitrarily large (e.g., the Unruh effect). We furthermore prove that wave functions of particles in the inertial and the quasi-inertial frame are identical up to the coordinate transformation relating the two frames. |
hep-th/0507187 | Ilarion Melnikov | Ilarion V. Melnikov and M. Ronen Plesser | A-Model Correlators from the Coulomb Branch | 27 pages, 1 xy-pic figure | null | 10.1088/1126-6708/2006/02/044 | DUKE-CGTP-05-07 | hep-th | null | We compute the contribution of discrete Coulomb vacua to A-Model correlators
in toric Gauged Linear Sigma Models. For models corresponding to a compact
variety, this determines the correlators at arbitrary genus. For non-compact
examples, our results imply the surprising conclusion that the quantum
cohomology relations break down for a subset of the correlators.
| [
{
"created": "Tue, 19 Jul 2005 18:59:37 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Melnikov",
"Ilarion V.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] | We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply the surprising conclusion that the quantum cohomology relations break down for a subset of the correlators. |
hep-th/0212032 | Hiroshi Itoyama | H. Itoyama, A. Morozov | Calculating Gluino-Condensate Prepotential | the appendix properly represented, typo corrected | Prog.Theor.Phys. 109 (2003) 433-463 | 10.1143/PTP.109.433 | OCU-PHYS-196, ITEP/TH-59/02 | hep-th | null | We discuss the derivation of the CIV-DV prepotential for arbitrary power n+1
of the original superpotential in the N=1 SUSY YM theory (for arbitrary number
n of cuts in the solution of the planar matrix model in the Dijkgraaf-Vafa
interpretation). The goal is to hunt for structures, not so much for exact
formulas, which are necessarily complicated, before the right language is found
to represent them. Some entities, reminiscent of representation theory, clearly
emerge, but a lot of work remains to be done to identify the relevant ones. As
a practical application, we obtain a cubic (first non-perturbative)
contribution to the prepotential for any n.
| [
{
"created": "Tue, 3 Dec 2002 17:05:51 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2002 15:54:52 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Itoyama",
"H.",
""
],
[
"Morozov",
"A.",
""
]
] | We discuss the derivation of the CIV-DV prepotential for arbitrary power n+1 of the original superpotential in the N=1 SUSY YM theory (for arbitrary number n of cuts in the solution of the planar matrix model in the Dijkgraaf-Vafa interpretation). The goal is to hunt for structures, not so much for exact formulas, which are necessarily complicated, before the right language is found to represent them. Some entities, reminiscent of representation theory, clearly emerge, but a lot of work remains to be done to identify the relevant ones. As a practical application, we obtain a cubic (first non-perturbative) contribution to the prepotential for any n. |
hep-th/9508019 | Rodriguez Romo Suemi-FESC | Suemi Rodr\'iguez-Romo | Examples of q-regularization | 17 pages, LaTex, to be published in IJTP 1995.11 | Int.J.Theor.Phys. 34 (1995) 2179-2194 | 10.1007/BF00673834 | CIT-FESC-UNAM 95/3 | hep-th | null | An Introduction to Hopf algebras as a tool for the regularization of relavent
quantities in quantum field theory is given. We deform algebraic spaces by
introducing q as a regulator of a non-commutative and non-cocommutative Hopf
algebra. Relevant quantities are finite provided q\neq 1 and diverge in the
limit q\rightarrow 1. We discuss q-regularization on different q-deformed
spaces for \lambda\phi^4 theory as example to illustrate the idea.
| [
{
"created": "Fri, 4 Aug 1995 16:09:41 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Rodríguez-Romo",
"Suemi",
""
]
] | An Introduction to Hopf algebras as a tool for the regularization of relavent quantities in quantum field theory is given. We deform algebraic spaces by introducing q as a regulator of a non-commutative and non-cocommutative Hopf algebra. Relevant quantities are finite provided q\neq 1 and diverge in the limit q\rightarrow 1. We discuss q-regularization on different q-deformed spaces for \lambda\phi^4 theory as example to illustrate the idea. |
hep-th/0304252 | Martin Bojowald | Martin Bojowald and Thomas Strobl | Classical Solutions for Poisson Sigma Models on a Riemann surface | 28 pages | JHEP 0307 (2003) 002 | 10.1088/1126-6708/2003/07/002 | FSUJ-TPI-05/03, CGPG-03/4-5 | hep-th gr-qc math.SG | null | We determine the moduli space of classical solutions to the field equations
of Poisson Sigma Models on arbitrary Riemann surfaces for Poisson structures
with vanishing Poisson form class. This condition ensures the existence of a
presymplectic form on the target Poisson manifold which agrees with the induced
symplectic forms of the Poisson tensor upon pullback to the leaves. The
dimension of the classical moduli space as a function of the genus of the
worldsheet Sigma and the corank k of the Poisson tensor is determined as
k(rank(H^1(Sigma))+1). Representatives of the classical solutions are provided
using the above mentioned presymplectic 2-forms, and possible generalizations
to cases where such a form does not exist are discussed. The results are
compared to the known moduli space of classical solutions for two-dimensional
BF and Yang-Mills theories.
| [
{
"created": "Tue, 29 Apr 2003 18:21:12 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bojowald",
"Martin",
""
],
[
"Strobl",
"Thomas",
""
]
] | We determine the moduli space of classical solutions to the field equations of Poisson Sigma Models on arbitrary Riemann surfaces for Poisson structures with vanishing Poisson form class. This condition ensures the existence of a presymplectic form on the target Poisson manifold which agrees with the induced symplectic forms of the Poisson tensor upon pullback to the leaves. The dimension of the classical moduli space as a function of the genus of the worldsheet Sigma and the corank k of the Poisson tensor is determined as k(rank(H^1(Sigma))+1). Representatives of the classical solutions are provided using the above mentioned presymplectic 2-forms, and possible generalizations to cases where such a form does not exist are discussed. The results are compared to the known moduli space of classical solutions for two-dimensional BF and Yang-Mills theories. |
1302.3851 | Junggi Yoon | Antal Jevicki, Junggi Yoon | Field Theory of Primaries in W_N Minimal Models | 44 pages. v4: misprints corrected, minor improvement | null | 10.1007/JHEP11(2013)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For W_N minimal model CFT's at Large N, we formulate a nonlinear field theory
of primary operators. A classification of single-trace operators is given first
based on which an interacting field theory operating in Fock space is built. A
hamiltonian is constructed with the property that it reproduces exactly the
spectrum of conformal dimensions of all the primaries. This field theory is
characterized by cubic (and quartic) interactions with G=1/N as an interaction
parameter. It is seen that the 1/N nonlinear representation contains the
interactions and structure known from Matrix-vector models.
| [
{
"created": "Fri, 15 Feb 2013 19:05:49 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2013 20:48:19 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2013 01:30:13 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Oct 2013 17:17:09 GMT",
"version": "v4"
}
] | 2015-06-15 | [
[
"Jevicki",
"Antal",
""
],
[
"Yoon",
"Junggi",
""
]
] | For W_N minimal model CFT's at Large N, we formulate a nonlinear field theory of primary operators. A classification of single-trace operators is given first based on which an interacting field theory operating in Fock space is built. A hamiltonian is constructed with the property that it reproduces exactly the spectrum of conformal dimensions of all the primaries. This field theory is characterized by cubic (and quartic) interactions with G=1/N as an interaction parameter. It is seen that the 1/N nonlinear representation contains the interactions and structure known from Matrix-vector models. |
2110.02394 | Carlos A. S. Almeida | A.R.P. Moreira, J.E.G. Silva, and C.A.S. Almeida | Non-minimal coupling of fermion to the torsion in the modified
teleparallel braneworld | 25 pages, 13 captioned figures. Updated version to match the one
published in Annals of Physics | null | 10.1016/j.aop.2022.168912 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a spin 1/2 fermion in a teleparallel f(T) domain-wall thick
braneworld. By assuming a non-minimal coupling of fermion to the torsion, a
geometric alternative to the Yukawa coupling is found. The torsion parameters
control the width of the massless Kaluza-Klein mode and the properties of the
analogue quantum-potential near the origin. The non-normalized massive
fermionic modes are also analyzed.
| [
{
"created": "Tue, 5 Oct 2021 22:53:28 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2022 00:02:27 GMT",
"version": "v2"
}
] | 2022-06-08 | [
[
"Moreira",
"A. R. P.",
""
],
[
"Silva",
"J. E. G.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | We study a spin 1/2 fermion in a teleparallel f(T) domain-wall thick braneworld. By assuming a non-minimal coupling of fermion to the torsion, a geometric alternative to the Yukawa coupling is found. The torsion parameters control the width of the massless Kaluza-Klein mode and the properties of the analogue quantum-potential near the origin. The non-normalized massive fermionic modes are also analyzed. |
1811.09117 | Tadashi Okazaki | Amihay Hanany, Tadashi Okazaki | (0,4) brane box models | 42 pages, 23 figures | JHEP 1903 (2019) 027 | 10.1007/JHEP03(2019)027 | Imperial/TP/18/AH/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional $\mathcal{N}=(0,4)$ supersymmetric quiver gauge theories are
realized as D3-brane box configurations (two dimensional intervals) which are
bounded by NS5-branes and intersect with D5-branes. The periodic brane
configuration is mapped to D1-D5-D5$'$ brane system at orbifold singularity via
T-duality. The matter content and interactions are encoded by the
$\mathcal{N}=(0,4)$ quiver diagrams which are determined by the brane
configurations. The Abelian gauge anomaly cancellation indicates the presence
of Fermi multiplets at the NS-NS$'$ junction. We also discuss the brane
construction of $\mathcal{N}=(0,4)$ supersymmetric boundary conditions in 3d
$\mathcal{N}=4$ gauge theories involving two-dimensional boundary degrees of
freedom that cancel gauge anomaly.
| [
{
"created": "Thu, 22 Nov 2018 11:19:43 GMT",
"version": "v1"
}
] | 2019-03-08 | [
[
"Hanany",
"Amihay",
""
],
[
"Okazaki",
"Tadashi",
""
]
] | Two-dimensional $\mathcal{N}=(0,4)$ supersymmetric quiver gauge theories are realized as D3-brane box configurations (two dimensional intervals) which are bounded by NS5-branes and intersect with D5-branes. The periodic brane configuration is mapped to D1-D5-D5$'$ brane system at orbifold singularity via T-duality. The matter content and interactions are encoded by the $\mathcal{N}=(0,4)$ quiver diagrams which are determined by the brane configurations. The Abelian gauge anomaly cancellation indicates the presence of Fermi multiplets at the NS-NS$'$ junction. We also discuss the brane construction of $\mathcal{N}=(0,4)$ supersymmetric boundary conditions in 3d $\mathcal{N}=4$ gauge theories involving two-dimensional boundary degrees of freedom that cancel gauge anomaly. |
1405.6576 | Peter Mati | A. Jakovac, P. Mati | Validating the 2PI resummation: the Bloch-Nordsieck example | 14 pages, 14 figures, uses revtex4-1 | null | 10.1103/PhysRevD.90.045038 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we provide a numerical method to obtain the Bloch-Nordsieck
spectral function at finite temperature in the framework of the 2PI
approximation. We find that the 2PI results nicely agree with the exact one,
provided we perform a coupling constant matching. In the paper we present the
resulting finite temperature running of the 2PI coupling constant. This result
may apply for the finite temperature behavior of the coupling constant in QED,
too.
| [
{
"created": "Mon, 26 May 2014 14:08:14 GMT",
"version": "v1"
}
] | 2015-04-21 | [
[
"Jakovac",
"A.",
""
],
[
"Mati",
"P.",
""
]
] | In this work we provide a numerical method to obtain the Bloch-Nordsieck spectral function at finite temperature in the framework of the 2PI approximation. We find that the 2PI results nicely agree with the exact one, provided we perform a coupling constant matching. In the paper we present the resulting finite temperature running of the 2PI coupling constant. This result may apply for the finite temperature behavior of the coupling constant in QED, too. |
hep-th/0008110 | Bernard Piette | N.S. Manton and B.M.A.G. Piette | Understanding Skyrmions using Rational Maps | 11 pages, 2 figures. To appear in the proceedings of the 3rd European
Congress of Mathematics, Barcelona 2000 (Birkhouser) | null | null | null | hep-th | null | We discuss an ansatz for Skyrme fields in three dimensions which uses
rational maps between Riemann spheres, and produces shell-like structures of
polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational
map gives good approximations to the minimal energy Skyrmions up to baryon
number of order ten. We show how the method can be generalised by using two or
more rational maps to give a double-shell or multi-shell structure.
Particularly interesting examples occur at baryon numbers twelve and fourteen.
| [
{
"created": "Mon, 14 Aug 2000 07:59:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2001 15:13:34 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Manton",
"N. S.",
""
],
[
"Piette",
"B. M. A. G.",
""
]
] | We discuss an ansatz for Skyrme fields in three dimensions which uses rational maps between Riemann spheres, and produces shell-like structures of polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational map gives good approximations to the minimal energy Skyrmions up to baryon number of order ten. We show how the method can be generalised by using two or more rational maps to give a double-shell or multi-shell structure. Particularly interesting examples occur at baryon numbers twelve and fourteen. |
1610.01963 | Ouali Taoufik | Zahra Bouabdallaoui, Ahmed Errahmani, Mariam Bouhmadi-Lopez and
Taoufik Ouali | Constraints on tachyon inflationary models with an AdS/CFT
correspondence | 11 pages, 15 figures. References added. Version accepted for
publication in PRD | Phys. Rev. D 94, 123508 (2016) | 10.1103/PhysRevD.94.123508 | null | hep-th astro-ph.CO astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to study the effect of the anti de Sitter/ conformal field theory
correspondence (AdS/CFT) on the primordial inflationary era, we consider a
universe filled with a tachyon field in a slow-roll regime. In this context,
the background and perturbative parameters characterising the inflationary era
are related to the standard one by correction terms. We show a clear agreement
between the theoretical prediction and the observational data for the above
mentioned model. The main results of our work are illustrated for an
exponential potential. We show that, for a suitable conformal anomaly
coefficient, AdS/CFT correspondence might leave its imprints on the spectrum of
the gravitational waves amplitude with a tensor to scalar ratio, $r$, of the
perturbations compatible with Planck data.
| [
{
"created": "Thu, 6 Oct 2016 17:34:46 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Nov 2016 09:34:53 GMT",
"version": "v2"
}
] | 2016-12-14 | [
[
"Bouabdallaoui",
"Zahra",
""
],
[
"Errahmani",
"Ahmed",
""
],
[
"Bouhmadi-Lopez",
"Mariam",
""
],
[
"Ouali",
"Taoufik",
""
]
] | In order to study the effect of the anti de Sitter/ conformal field theory correspondence (AdS/CFT) on the primordial inflationary era, we consider a universe filled with a tachyon field in a slow-roll regime. In this context, the background and perturbative parameters characterising the inflationary era are related to the standard one by correction terms. We show a clear agreement between the theoretical prediction and the observational data for the above mentioned model. The main results of our work are illustrated for an exponential potential. We show that, for a suitable conformal anomaly coefficient, AdS/CFT correspondence might leave its imprints on the spectrum of the gravitational waves amplitude with a tensor to scalar ratio, $r$, of the perturbations compatible with Planck data. |
hep-th/0203116 | Jacek Wosiek | J. Wosiek (Jagellonian University) | Spectra of supersymmetric Yang-Mills quantum mechanics | 39 pages, 9 Postscript figures | Nucl.Phys.B644:85-112,2002 | 10.1016/S0550-3213(02)00810-6 | TPJU-7/02 | hep-th | null | The new method of solving quantum mechanical problems is proposed. The
finite, i.e. cut off, Hilbert space is algebraically implemented in the
computer code with states represented by lists of variable length. Complete
numerical solution of a given system is then automatically obtained. The
technique is applied to Wess-Zumino quantum mechanics and D=2 and D=4
supersymmetric Yang-Mills quantum mechanics with SU(2) gauge group. Convergence
with increasing cut-off was observed in many cases, well within the reach of
present machines. Many old results were confirmed and some new ones, especially
for the D=4 system, are derived. Extension to D=10 is possible but
computationally demanding for higher gauge groups.
| [
{
"created": "Wed, 13 Mar 2002 10:45:31 GMT",
"version": "v1"
}
] | 2011-07-28 | [
[
"Wosiek",
"J.",
"",
"Jagellonian University"
]
] | The new method of solving quantum mechanical problems is proposed. The finite, i.e. cut off, Hilbert space is algebraically implemented in the computer code with states represented by lists of variable length. Complete numerical solution of a given system is then automatically obtained. The technique is applied to Wess-Zumino quantum mechanics and D=2 and D=4 supersymmetric Yang-Mills quantum mechanics with SU(2) gauge group. Convergence with increasing cut-off was observed in many cases, well within the reach of present machines. Many old results were confirmed and some new ones, especially for the D=4 system, are derived. Extension to D=10 is possible but computationally demanding for higher gauge groups. |
1207.4480 | Takahiro Nishinaka | Takahiro Nishinaka and Chaiho Rim | Matrix models for irregular conformal blocks and Argyres-Douglas
theories | 42 pages, 2 figures; v2: minor corrections; v3: minor corrections,
added the second paragraph in section 6 | null | 10.1007/JHEP10(2012)138 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As regular conformal blocks describe the N=2 superconformal gauge theories in
four dimensions, irregular conformal blocks are expected to reproduce the
instanton partition functions of the Argyres-Douglas theories. In this paper,
we construct matrix models which reproduce the irregular conformal conformal
blocks of the Liouville theory on sphere, by taking a colliding limit of the
Penner-type matrix models. The resulting matrix models have not only
logarithmic terms but also rational terms in the potential. We also discuss
their relation to the Argyres-Douglas type theories.
| [
{
"created": "Wed, 18 Jul 2012 20:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2012 14:11:13 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Sep 2012 21:56:30 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Nishinaka",
"Takahiro",
""
],
[
"Rim",
"Chaiho",
""
]
] | As regular conformal blocks describe the N=2 superconformal gauge theories in four dimensions, irregular conformal blocks are expected to reproduce the instanton partition functions of the Argyres-Douglas theories. In this paper, we construct matrix models which reproduce the irregular conformal conformal blocks of the Liouville theory on sphere, by taking a colliding limit of the Penner-type matrix models. The resulting matrix models have not only logarithmic terms but also rational terms in the potential. We also discuss their relation to the Argyres-Douglas type theories. |
1903.05038 | Ivan K. Kostov | Ivan Kostov, Valentina B. Petkova, Didina Serban | Determinant formula for the octagon form factor in $\mathcal{N}$=4 SYM | 5 pages, 1 figure | Phys. Rev. Lett. 122, 231601 (2019) | 10.1103/PhysRevLett.122.231601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute to all loop orders correlation function of four heavy BPS
operators in $\mathcal{N}$= 4 SYM with special polarisations considered
recently by Frank Coronado. Our main result is an expression for the octagon
form factor as determinant of a semi-infinite matrix. We find that at weak
coupling the entries of this matrix are linear combinations of ladder functions
with simple rational coefficients and give the full perturbative expansion of
the octagon.
| [
{
"created": "Tue, 12 Mar 2019 16:40:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2019 18:20:10 GMT",
"version": "v2"
}
] | 2019-06-19 | [
[
"Kostov",
"Ivan",
""
],
[
"Petkova",
"Valentina B.",
""
],
[
"Serban",
"Didina",
""
]
] | We compute to all loop orders correlation function of four heavy BPS operators in $\mathcal{N}$= 4 SYM with special polarisations considered recently by Frank Coronado. Our main result is an expression for the octagon form factor as determinant of a semi-infinite matrix. We find that at weak coupling the entries of this matrix are linear combinations of ladder functions with simple rational coefficients and give the full perturbative expansion of the octagon. |
1812.06684 | Shijun Mao | Shijun Mao and Dirk H. Rischke | Dynamically generated magnetic moment in the Wigner-function formalism | 10 pages, 2 figures | Physics Letters B 792, 149-155 (2019) | 10.1016/j.physletb.2019.03.034 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how the mass and magnetic moment of the quarks are dynamically
generated in nonequilibrium quark matter. We derive the equal-time transport
and constraint equations for the quark Wigner function in a magnetized quark
model and solve them in the semi-classical expansion. The quark mass and
magnetic moment are self-consistently coupled to the Wigner function and
controlled by the kinetic equations. While the quark mass is dynamically
generated at the classical level, the quark magnetic moment is a pure quantum
effect, induced by the quark spin interaction with the external magnetic field.
| [
{
"created": "Mon, 17 Dec 2018 10:37:28 GMT",
"version": "v1"
}
] | 2019-03-29 | [
[
"Mao",
"Shijun",
""
],
[
"Rischke",
"Dirk H.",
""
]
] | We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. We derive the equal-time transport and constraint equations for the quark Wigner function in a magnetized quark model and solve them in the semi-classical expansion. The quark mass and magnetic moment are self-consistently coupled to the Wigner function and controlled by the kinetic equations. While the quark mass is dynamically generated at the classical level, the quark magnetic moment is a pure quantum effect, induced by the quark spin interaction with the external magnetic field. |
0710.5342 | Yuko Urakawa | Yuko Urakawa, Kei-ichi Maeda | Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and
Linear Analysis -- | 14 pages | Phys.Rev.D77:024013,2008 | 10.1103/PhysRevD.77.024013 | null | hep-th gr-qc | null | We study primordial perturbations generated from quantum fluctuations of an
inflaton based on the formalism of stochastic gravity. Integrating out the
degree of freedom of the inflaton field, we analyze the time evolution of the
correlation function of the curvature perturbation at tree level and compare it
with the prediction made by the gauge-invariant linear perturbation theory. We
find that our result coincides with that of the gauge-invariant perturbation
theory if the e-folding from the horizon crossing time is smaller than some
critical value ($\sim |$slow-roll parameter $|^{-1}$), which is the case for
the scales of the observed cosmological structures. However, in the limit of
the superhorizon scale, we find a discrepancy in the curvature perturbation,
which suggests that we should include the longitudinal part of the
gravitational field in the quantization of a scalar field even in stochastic
gravity.
| [
{
"created": "Mon, 29 Oct 2007 06:05:31 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Urakawa",
"Yuko",
""
],
[
"Maeda",
"Kei-ichi",
""
]
] | We study primordial perturbations generated from quantum fluctuations of an inflaton based on the formalism of stochastic gravity. Integrating out the degree of freedom of the inflaton field, we analyze the time evolution of the correlation function of the curvature perturbation at tree level and compare it with the prediction made by the gauge-invariant linear perturbation theory. We find that our result coincides with that of the gauge-invariant perturbation theory if the e-folding from the horizon crossing time is smaller than some critical value ($\sim |$slow-roll parameter $|^{-1}$), which is the case for the scales of the observed cosmological structures. However, in the limit of the superhorizon scale, we find a discrepancy in the curvature perturbation, which suggests that we should include the longitudinal part of the gravitational field in the quantization of a scalar field even in stochastic gravity. |
1811.08900 | Ro Jefferson | Ro Jefferson | Comments on black hole interiors and modular inclusions | Added footnote, references | SciPost Phys. 6, 042 (2019) | 10.21468/SciPostPhys.6.4.042 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how the traversable wormhole induced by a double-trace deformation of
the thermofield double state can be understood as a modular inclusion of the
algebras of exterior operators. The effect of this deformation is the creation
of a new region of spacetime deep in the bulk, corresponding to a non-trivial
center between the left and right algebras. This set-up provides a precise
framework for investigating how black hole interiors are encoded in the CFT. In
particular, we use modular theory to demonstrate that state dependence is an
inevitable feature of any attempt to represent operators behind the horizon.
Building on this geometrical structure, we propose that modular inclusions may
provide a more precise means of investigating the nascent relationship between
entanglement and geometry in the context of the emergent spacetime paradigm.
| [
{
"created": "Wed, 21 Nov 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2019 09:22:59 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Mar 2019 18:48:51 GMT",
"version": "v3"
},
{
"created": "Wed, 12 Jun 2019 09:00:55 GMT",
"version": "v4"
}
] | 2019-06-13 | [
[
"Jefferson",
"Ro",
""
]
] | We show how the traversable wormhole induced by a double-trace deformation of the thermofield double state can be understood as a modular inclusion of the algebras of exterior operators. The effect of this deformation is the creation of a new region of spacetime deep in the bulk, corresponding to a non-trivial center between the left and right algebras. This set-up provides a precise framework for investigating how black hole interiors are encoded in the CFT. In particular, we use modular theory to demonstrate that state dependence is an inevitable feature of any attempt to represent operators behind the horizon. Building on this geometrical structure, we propose that modular inclusions may provide a more precise means of investigating the nascent relationship between entanglement and geometry in the context of the emergent spacetime paradigm. |
2103.00963 | Jihwan Oh | Jihwan Oh, Yehao Zhou | Twisted holography of defect fusions | 41 pages, 13 figures; v2: minor change with some references added | SciPost Phys. 10, 105 (2021) | 10.21468/SciPostPhys.10.5.105 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the twisted M-theory setting, various types of fusion of M2 and M5 branes
induce coproducts between the algebra of operators on M2 branes and the algebra
of operators on M5 branes. By doing a perturbative computation in the gravity
side, which is captured by the 5d topological holomorphic $U(1)$ Chern-Simons
theory, we reproduce the non-perturbative coproducts.
| [
{
"created": "Mon, 1 Mar 2021 12:42:35 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 2021 08:01:47 GMT",
"version": "v2"
}
] | 2021-05-19 | [
[
"Oh",
"Jihwan",
""
],
[
"Zhou",
"Yehao",
""
]
] | In the twisted M-theory setting, various types of fusion of M2 and M5 branes induce coproducts between the algebra of operators on M2 branes and the algebra of operators on M5 branes. By doing a perturbative computation in the gravity side, which is captured by the 5d topological holomorphic $U(1)$ Chern-Simons theory, we reproduce the non-perturbative coproducts. |
hep-th/0210265 | W. A. Sabra | W. A. Sabra | Curved Branes in AdS Einstein-Maxwell Gravity and Killing Spinors | 11 pages | Phys.Lett. B552 (2003) 247-254 | 10.1016/S0370-2693(02)03183-0 | CAMS/02-05, American University of Beirut | hep-th | null | We determine the Killing spinors for a class of magnetic brane solutions with
Minkowski worldvolume of the theory of AdS Einstein Maxwell theories in d
dimensions. We also obtain curved magnetic brane solutions with Ricci-flat
worldvolumes. If we demand that the curved brane solution admits Killing
spinors, then its worldvolume must admit parallel spinors. Classes of
Ricci-flat worldvolumes admitting parallel spinors are discussed.
| [
{
"created": "Mon, 28 Oct 2002 18:00:26 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Sabra",
"W. A.",
""
]
] | We determine the Killing spinors for a class of magnetic brane solutions with Minkowski worldvolume of the theory of AdS Einstein Maxwell theories in d dimensions. We also obtain curved magnetic brane solutions with Ricci-flat worldvolumes. If we demand that the curved brane solution admits Killing spinors, then its worldvolume must admit parallel spinors. Classes of Ricci-flat worldvolumes admitting parallel spinors are discussed. |
1011.0289 | Niclas Wyllard | Niclas Wyllard | W-algebras and surface operators in N=2 gauge theories | 16 pages. v2: minor changes. v3: added two references | J.Phys.A44:155401,2011 | 10.1088/1751-8113/44/15/155401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general class of W-algebras can be constructed from the affine sl(N)
algebra by (quantum) Drinfeld-Sokolov reduction and are classified by
partitions of N. Surface operators in an N=2 SU(N) 4d gauge theory are also
classified by partitions of N. We argue that instanton partition functions of
N=2 gauge theories in the presence of a surface operator can also be computed
from the corresponding W-algebra. We test this proposal by analysing the
Polyakov-Bershadsky W_3^(2) algebra obtaining results that are in agreement
with the known partition functions for SU(3) gauge theories with a so called
simple surface operator. As a byproduct, our proposal implies relations between
the W_3^(2) and W_3 algebras.
| [
{
"created": "Mon, 1 Nov 2010 11:03:46 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2011 18:54:57 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Mar 2011 13:23:12 GMT",
"version": "v3"
}
] | 2011-03-28 | [
[
"Wyllard",
"Niclas",
""
]
] | A general class of W-algebras can be constructed from the affine sl(N) algebra by (quantum) Drinfeld-Sokolov reduction and are classified by partitions of N. Surface operators in an N=2 SU(N) 4d gauge theory are also classified by partitions of N. We argue that instanton partition functions of N=2 gauge theories in the presence of a surface operator can also be computed from the corresponding W-algebra. We test this proposal by analysing the Polyakov-Bershadsky W_3^(2) algebra obtaining results that are in agreement with the known partition functions for SU(3) gauge theories with a so called simple surface operator. As a byproduct, our proposal implies relations between the W_3^(2) and W_3 algebras. |
1307.7703 | Kazunobu Maruyoshi | Giulio Bonelli, Simone Giacomelli, Kazunobu Maruyoshi, Alessandro
Tanzini | N=1 Geometries via M-theory | 58 pages, 6 figures; v2: typos corrected and references added | null | 10.1007/JHEP10(2013)227 | SISSA 36/2013/MATE-FISI, CALT-68-2850 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an M-theory geometric set-up to describe four-dimensional N=1
gauge theories. This is realized by a generalization of Hitchin's equation.
This framework encompasses a rich class of theories including superconformal
and confining ones. We show how the spectral data of the generalized Hitchin's
system encode the infrared properties of the gauge theory in terms of N=1
curves. For N=1 deformations of N=2 theories in class S, we show how the
superpotential is encoded in an appropriate choice of boundary conditions at
the marked points in different S-duality frames. We elucidate our approach in a
number of cases -- including Argyres-Douglas points, confining phases and
gaugings of T_N theories -- and display new results for linear and generalized
quivers.
| [
{
"created": "Mon, 29 Jul 2013 19:57:22 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Aug 2013 08:08:49 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Bonelli",
"Giulio",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Tanzini",
"Alessandro",
""
]
] | We provide an M-theory geometric set-up to describe four-dimensional N=1 gauge theories. This is realized by a generalization of Hitchin's equation. This framework encompasses a rich class of theories including superconformal and confining ones. We show how the spectral data of the generalized Hitchin's system encode the infrared properties of the gauge theory in terms of N=1 curves. For N=1 deformations of N=2 theories in class S, we show how the superpotential is encoded in an appropriate choice of boundary conditions at the marked points in different S-duality frames. We elucidate our approach in a number of cases -- including Argyres-Douglas points, confining phases and gaugings of T_N theories -- and display new results for linear and generalized quivers. |
2211.07592 | Glenn Barnich | Glenn Barnich, Kevin Nguyen, Romain Ruzziconi | Geometric action for extended Bondi-Metzner-Sachs group in four
dimensions | 25 pages Latex file | null | 10.1007/JHEP12(2022)154 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The constrained Hamiltonian analysis of geometric actions is worked out
before applying the construction to the extended Bondi-Metzner-Sachs group in
four dimensions. For any Hamiltonian associated with an extended BMS$_4$
generator, this action provides a field theory in two plus one spacetime
dimensions whose Poisson bracket algebra of Noether charges realizes the
extended BMS$_4$ Lie algebra. The Poisson structure of the model includes the
classical version of the operator product expansions that have appeared in the
context of celestial holography. Furthermore, the model reproduces the
evolution equations of non-radiative asymptotically flat spacetimes at null
infinity.
| [
{
"created": "Mon, 14 Nov 2022 18:18:16 GMT",
"version": "v1"
}
] | 2023-01-18 | [
[
"Barnich",
"Glenn",
""
],
[
"Nguyen",
"Kevin",
""
],
[
"Ruzziconi",
"Romain",
""
]
] | The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS$_4$ generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS$_4$ Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity. |
1003.0701 | Oscar A. Bedoya | Oscar A. Bedoya, Dafni Z. Marchioro, Daniel L. Nedel and Brenno
Carlini Vallilo | Quantum Current Algebra for the $AdS_5 \times S^5$ Superstring | 28 pages, 12 figures, v2: typos corrected. | JHEP 1008:026,2010 | 10.1007/JHEP08(2010)026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The sigma model describing the dynamics of the superstring in the $AdS_5
\times S^5$ background can be constructed using the coset
$PSU(2,2|4)/SO(4,1)\times SO(5)$. A basic set of operators in this two
dimensional conformal field theory is composed by the left invariant currents.
Since these currents are not (anti) holomorphic, their OPE's is not determined
by symmetry principles and its computation should be performed perturbatively.
Using the pure spinor sigma model for this background, we compute the one-loop
correction to these OPE's. We also compute the OPE's of the left invariant
currents with the energy momentum tensor at tree level and one loop.
| [
{
"created": "Tue, 2 Mar 2010 22:50:50 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Mar 2010 14:11:19 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Bedoya",
"Oscar A.",
""
],
[
"Marchioro",
"Dafni Z.",
""
],
[
"Nedel",
"Daniel L.",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | The sigma model describing the dynamics of the superstring in the $AdS_5 \times S^5$ background can be constructed using the coset $PSU(2,2|4)/SO(4,1)\times SO(5)$. A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop. |
hep-th/0407183 | Jian-Zu Zhang | Jian-Zu Zhang | Deformed Two-Photon Squeezed States in Noncommutative Space | 11 pages. Physics Letters B (accepted) | Phys.Lett. B597 (2004) 362-367 | 10.1016/j.physletb.2004.07.039 | null | hep-th | null | Recent studies on non-perturbation aspects of noncommutative quantum
mechanics explored a new type of boson commutation relations at the deformed
level, described by deformed annihilation-creation operators in noncommutative
space. This correlated boson commutator correlates different degrees of
freedom, and shows an essential influence on dynamics. This paper devotes to
the development of formalism of deformed two-photon squeezed states in
noncommutative space. General representations of deformed annihilation-creation
operators and the consistency condition for the electromagnetic wave with a
single mode of frequency in NC space are obtained. Two-photon squeezed states
are studied. One finds that variances of the dimensionless hermitian
quadratures of the annihilation operator in one degree of freedom include
variances in the other degree of freedom. Such correlations show the new
feature of spatial noncommutativity and allow a deeper understanding of the
correlated boson commutator.
| [
{
"created": "Wed, 21 Jul 2004 09:23:41 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Zhang",
"Jian-Zu",
""
]
] | Recent studies on non-perturbation aspects of noncommutative quantum mechanics explored a new type of boson commutation relations at the deformed level, described by deformed annihilation-creation operators in noncommutative space. This correlated boson commutator correlates different degrees of freedom, and shows an essential influence on dynamics. This paper devotes to the development of formalism of deformed two-photon squeezed states in noncommutative space. General representations of deformed annihilation-creation operators and the consistency condition for the electromagnetic wave with a single mode of frequency in NC space are obtained. Two-photon squeezed states are studied. One finds that variances of the dimensionless hermitian quadratures of the annihilation operator in one degree of freedom include variances in the other degree of freedom. Such correlations show the new feature of spatial noncommutativity and allow a deeper understanding of the correlated boson commutator. |
1309.7872 | Adam Clark | Adam B. Clark, Nathan Crossette, George M. Newman, and Andrea Rommal | AdS-Sliced Flavor Branes and Adding Flavor to the Janus Solution | 16 pages, 12 figures, v2 figures corrected | Phys. Rev. D 89, 026014 (2014) | 10.1103/PhysRevD.89.026014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We implement D7 flavor branes in AdS-sliced coordinates on $AdS_5\times S^5$
with the ansatz that the brane fluctuates only in the warped ($\mu$) direction
in this slicing, which is particularly appropriate for studying the Janus
solution. The natural field theory dual in this slicing is $\mathcal{N}=4$
super Yang-Mills on two copies of $AdS_4$. Branes extending from $\mu=\pm\pi/2$
can end at different locations, giving rise to quarks with piecewise constant
mass on each $AdS_4$ half-space, jumping discontinuously between them. A second
class of flavor brane solutions exists in this coordinate system, dubbed
"continuous" flavor branes, that extend across the entire range of $\mu$. We
propose that the correct dual interpretation of "disconnected" flavor brane in
this ansatz is a quark hypermultiplet with constant mass on one of the AdS$_4$
half-spaces with totally reflecting boundary conditions at the boundary of
AdS$_4$; whereas the dual interpretation of a continuous flavor brane has
totally transparent boundary conditions. Numerical studies indicate that
AdS-sliced D7 flavor branes of both classes exhibit spontaneous chiral symmetry
breaking, as non-zero vev persists for solutions of the equation of motion down
to zero mass. Continuous flavor branes in this ansatz exhibit many other
surprising behaviors: their masses seem to be capped at a modest value near
$m=0.551$ in units of the inverse AdS radius, and there may be a phase
transition between continuous branes of different configurations. We also
numerically study quark states in Janus. The behavior of mass and vev is
similar in Janus, including the existence of chiral symmetry breaking at zero
mass, though qualitative features of the phase diagram change (sometimes
significantly) as the Janus parameter $c_0$ increases.
| [
{
"created": "Mon, 30 Sep 2013 15:09:35 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Oct 2013 14:00:43 GMT",
"version": "v2"
}
] | 2014-02-05 | [
[
"Clark",
"Adam B.",
""
],
[
"Crossette",
"Nathan",
""
],
[
"Newman",
"George M.",
""
],
[
"Rommal",
"Andrea",
""
]
] | We implement D7 flavor branes in AdS-sliced coordinates on $AdS_5\times S^5$ with the ansatz that the brane fluctuates only in the warped ($\mu$) direction in this slicing, which is particularly appropriate for studying the Janus solution. The natural field theory dual in this slicing is $\mathcal{N}=4$ super Yang-Mills on two copies of $AdS_4$. Branes extending from $\mu=\pm\pi/2$ can end at different locations, giving rise to quarks with piecewise constant mass on each $AdS_4$ half-space, jumping discontinuously between them. A second class of flavor brane solutions exists in this coordinate system, dubbed "continuous" flavor branes, that extend across the entire range of $\mu$. We propose that the correct dual interpretation of "disconnected" flavor brane in this ansatz is a quark hypermultiplet with constant mass on one of the AdS$_4$ half-spaces with totally reflecting boundary conditions at the boundary of AdS$_4$; whereas the dual interpretation of a continuous flavor brane has totally transparent boundary conditions. Numerical studies indicate that AdS-sliced D7 flavor branes of both classes exhibit spontaneous chiral symmetry breaking, as non-zero vev persists for solutions of the equation of motion down to zero mass. Continuous flavor branes in this ansatz exhibit many other surprising behaviors: their masses seem to be capped at a modest value near $m=0.551$ in units of the inverse AdS radius, and there may be a phase transition between continuous branes of different configurations. We also numerically study quark states in Janus. The behavior of mass and vev is similar in Janus, including the existence of chiral symmetry breaking at zero mass, though qualitative features of the phase diagram change (sometimes significantly) as the Janus parameter $c_0$ increases. |
1703.01591 | Prafulla Shrikant Oak Dr. | Prafulla Oak and B. Sathiapalan | Exact Renormalization Group and Sine Gordon Theory | null | null | 10.1007/JHEP07(2017)103 | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The exact renormalization group is used to study the RG flow of quantities in
field theories. The basic idea is to write an evolution operator for the flow
and evaluate it in perturbation theory. This is easier than directly solving
the differential equation. This is illustrated by reproducing known results in
four dimensional $\phi^4$ field theory and the two dimensional Sine-Gordon
theory. It is shown that the calculation of beta function is somewhat
simplified. The technique is also used to calculate the c-function in two
dimensional Sine-Gordon theory. This agrees with other prescriptions for
calculating c-functions in the literature. If one extrapolates the connection
between central charge of a CFT and entanglement entropy in two dimensions, to
the c-function of the perturbed CFT, then one gets a value for the entanglement
entropy in Sine-Gordon theory that is in exact agreement with earlier
calculations (including one using holography) in arXiv:1610.04233.
| [
{
"created": "Sun, 5 Mar 2017 12:31:22 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Mar 2017 12:57:23 GMT",
"version": "v2"
},
{
"created": "Tue, 17 May 2022 07:18:14 GMT",
"version": "v3"
}
] | 2022-05-18 | [
[
"Oak",
"Prafulla",
""
],
[
"Sathiapalan",
"B.",
""
]
] | The exact renormalization group is used to study the RG flow of quantities in field theories. The basic idea is to write an evolution operator for the flow and evaluate it in perturbation theory. This is easier than directly solving the differential equation. This is illustrated by reproducing known results in four dimensional $\phi^4$ field theory and the two dimensional Sine-Gordon theory. It is shown that the calculation of beta function is somewhat simplified. The technique is also used to calculate the c-function in two dimensional Sine-Gordon theory. This agrees with other prescriptions for calculating c-functions in the literature. If one extrapolates the connection between central charge of a CFT and entanglement entropy in two dimensions, to the c-function of the perturbed CFT, then one gets a value for the entanglement entropy in Sine-Gordon theory that is in exact agreement with earlier calculations (including one using holography) in arXiv:1610.04233. |
hep-th/9907220 | null | Y. S. Kim (Univ. of Maryland) | Gauge Transformations on Massless Spin-1/2 Particles and Neutrino
Polarization as a Consequence of Gauge Invariance | 8 pages, Sprocl, to be published in the Proceedings of the
International Workshop on "Lorentz Group, CPT and Neutrinos" (Zacatecas,
Mexico, June 23-26, 1999) | null | null | null | hep-th | null | The two-by-two representation of the SL(2,c) group is for spin-1/2 particles.
Starting from this two-by-two representation, it is possible to construct the
four-by-four matrices for spin-1 particles. For massless particles, it is
possible to construct four-potentials from two-component SL(2,c) spinors. Four
potentials are subject to gauge transformations and are gauge-dependent. Then
this gauge dependence necessarily comes from the two-component spinors which
make up the four-potential. Then there must be a gauge-dependent spinor. This
gauge-dependent spinor is discussed in detail. It is shown that neutrino
polarization is a consequence of gauge invariance applicable to the two-by-two
representation of the SL(2,c) group.
| [
{
"created": "Fri, 30 Jul 1999 03:34:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kim",
"Y. S.",
"",
"Univ. of Maryland"
]
] | The two-by-two representation of the SL(2,c) group is for spin-1/2 particles. Starting from this two-by-two representation, it is possible to construct the four-by-four matrices for spin-1 particles. For massless particles, it is possible to construct four-potentials from two-component SL(2,c) spinors. Four potentials are subject to gauge transformations and are gauge-dependent. Then this gauge dependence necessarily comes from the two-component spinors which make up the four-potential. Then there must be a gauge-dependent spinor. This gauge-dependent spinor is discussed in detail. It is shown that neutrino polarization is a consequence of gauge invariance applicable to the two-by-two representation of the SL(2,c) group. |
1806.10073 | Leonardo Giuliano Trombetta | Luca Santoni, Enrico Trincherini and Leonardo G. Trombetta | Behind Horndeski: Structurally Robust Higher Derivative EFTs | 14+8 pages, 2 figures, 1 table. Minor changes. Published version | JHEP 08 (2018) 118 | 10.1007/JHEP08(2018)118 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Higher derivative scalar interactions can give rise to interesting
cosmological scenarios. We present a complete classification of such operators
that can yield sizeable effects without introducing ghosts and, at the same
time, define an effective field theory robust under the inclusion of quantum
corrections. A set of rules to power count consistently the coefficients of the
resulting Lagrangian is provided by the presence of an approximate global
symmetry. The interactions that we derive in this way contain a subset of the
so-called Horndeski and beyond Horndeski theories. Our construction therefore
provides a structurally robust context to study their phenomenology.
Applications to dark energy/modified gravity and geodesically complete
cosmologies are briefly discussed.
| [
{
"created": "Tue, 26 Jun 2018 15:49:36 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Aug 2018 13:47:51 GMT",
"version": "v2"
}
] | 2018-08-22 | [
[
"Santoni",
"Luca",
""
],
[
"Trincherini",
"Enrico",
""
],
[
"Trombetta",
"Leonardo G.",
""
]
] | Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an effective field theory robust under the inclusion of quantum corrections. A set of rules to power count consistently the coefficients of the resulting Lagrangian is provided by the presence of an approximate global symmetry. The interactions that we derive in this way contain a subset of the so-called Horndeski and beyond Horndeski theories. Our construction therefore provides a structurally robust context to study their phenomenology. Applications to dark energy/modified gravity and geodesically complete cosmologies are briefly discussed. |
hep-th/0112216 | Boris Ermolaev | A. Barroso and B.I. Ermolaev | Mass scale effects for the Sudakov form factors in theories with the
broken gauge symmetry | 16 pages, 5 figures | null | null | null | hep-th hep-ph | null | The off-shell and the on-shell Sudakov form factors in theories with broken
gauge symmetry are calculated in the double-logarithmic approximation. We have
used different infrared cut-offs, i.e. different mass scales, for virtual
photons and weak gauge bosons.
| [
{
"created": "Fri, 21 Dec 2001 18:09:44 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2002 17:29:09 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Barroso",
"A.",
""
],
[
"Ermolaev",
"B. I.",
""
]
] | The off-shell and the on-shell Sudakov form factors in theories with broken gauge symmetry are calculated in the double-logarithmic approximation. We have used different infrared cut-offs, i.e. different mass scales, for virtual photons and weak gauge bosons. |
hep-th/0312026 | Takeshi Morita | Hikaru Kawai, Tsunehide Kuroki and Takeshi Morita | Supersymmetric large-N reduced model with multiple matter | 24 pages, LaTeX. to appear in Nucl. Phys. B | Nucl.Phys. B683 (2004) 27-47 | 10.1016/j.nuclphysb.2004.02.005 | null | hep-th | null | We showed in hep-th/0303210 that the Dijkgraaf-Vafa theory can be regarded as
large-N reduction in the case of $\mathcal{N}=1$ supersymmetric U(N) gauge
theories, with single adjoint matter. We generalize this to gauge theories with
gauge groups being the products of some unitary groups coupled to bifundamental
or fundamental matter. We show that some large-N reduced models of these
theories are supermatrix models, whose free energy is equivalent to the
prepotentials of the original gauge theories. The supermatrix model in our
approach should be taken in the Veneziano limit $N_c,N_f \to \infty $ with
$N_f/N_c$ fixed.
| [
{
"created": "Tue, 2 Dec 2003 17:23:39 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 2003 18:14:12 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Dec 2003 08:10:08 GMT",
"version": "v3"
},
{
"created": "Mon, 23 Feb 2004 17:12:36 GMT",
"version": "v4"
}
] | 2010-04-05 | [
[
"Kawai",
"Hikaru",
""
],
[
"Kuroki",
"Tsunehide",
""
],
[
"Morita",
"Takeshi",
""
]
] | We showed in hep-th/0303210 that the Dijkgraaf-Vafa theory can be regarded as large-N reduction in the case of $\mathcal{N}=1$ supersymmetric U(N) gauge theories, with single adjoint matter. We generalize this to gauge theories with gauge groups being the products of some unitary groups coupled to bifundamental or fundamental matter. We show that some large-N reduced models of these theories are supermatrix models, whose free energy is equivalent to the prepotentials of the original gauge theories. The supermatrix model in our approach should be taken in the Veneziano limit $N_c,N_f \to \infty $ with $N_f/N_c$ fixed. |
1912.04912 | Alexey Milekhin | Ahmed Almheiri, Alexey Milekhin, Brian Swingle | Universal Constraints on Energy Flow and SYK Thermalization | 1+30 pages + appendices, 12 figures | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamics of a quantum system in thermal equilibrium that is
suddenly coupled to a bath at a different temperature, a situation inspired by
a particular black hole evaporation protocol. We prove a universal positivity
bound on the integrated rate of change of the system energy which holds
perturbatively in the system-bath coupling. Applied to holographic systems,
this bound implies a particular instance of the averaged null energy condition.
We also study in detail the particular case of two coupled SYK models in the
limit of many fermions using the Schwinger-Keldysh non-equilibrium formalism.
We solve the resulting Kadanoff-Baym equations both numerically and
analytically in various limits. In particular, by going to low temperature,
this setup enables a detailed study of the evaporation of black holes in JT
gravity.
| [
{
"created": "Tue, 10 Dec 2019 19:00:05 GMT",
"version": "v1"
}
] | 2019-12-12 | [
[
"Almheiri",
"Ahmed",
""
],
[
"Milekhin",
"Alexey",
""
],
[
"Swingle",
"Brian",
""
]
] | We study the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol. We prove a universal positivity bound on the integrated rate of change of the system energy which holds perturbatively in the system-bath coupling. Applied to holographic systems, this bound implies a particular instance of the averaged null energy condition. We also study in detail the particular case of two coupled SYK models in the limit of many fermions using the Schwinger-Keldysh non-equilibrium formalism. We solve the resulting Kadanoff-Baym equations both numerically and analytically in various limits. In particular, by going to low temperature, this setup enables a detailed study of the evaporation of black holes in JT gravity. |
1408.6448 | Thomas Grimm | I\~naki Garc\'ia-Etxebarria, Thomas W. Grimm, Jan Keitel | Yukawas and discrete symmetries in F-theory compactifications without
section | 24 pages, v2: references added, minor improvements | null | 10.1007/JHEP11(2014)125 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the case of F-theory compactifications on genus-one fibrations without
section there are naturally appearing discrete symmetries, which we argue to be
associated to geometrically massive U(1) gauge symmetries. These discrete
symmetries are shown to induce non-trivial selection rules for the allowed
Yukawa couplings in SU(N) gauge theories. The general discussion is exemplified
using a concrete Calabi-Yau fourfold realizing an SU(5) GUT model. We observe
that M2 instanton effects appear to play a key role in the generation of new
superpotential terms and in the dynamics close to phase transition loci.
| [
{
"created": "Wed, 27 Aug 2014 15:56:10 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2014 11:44:04 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"Keitel",
"Jan",
""
]
] | In the case of F-theory compactifications on genus-one fibrations without section there are naturally appearing discrete symmetries, which we argue to be associated to geometrically massive U(1) gauge symmetries. These discrete symmetries are shown to induce non-trivial selection rules for the allowed Yukawa couplings in SU(N) gauge theories. The general discussion is exemplified using a concrete Calabi-Yau fourfold realizing an SU(5) GUT model. We observe that M2 instanton effects appear to play a key role in the generation of new superpotential terms and in the dynamics close to phase transition loci. |
1910.08555 | Fri{\dh}rik Freyr Gautason | Nikolay Bobev, Pieter Bomans, Fridrik Freyr Gautason, Joseph A.
Minahan and Anton Nedelin | Supersymmetric Yang-Mills, Spherical Branes, and Precision Holography | 58 pages | null | 10.1007/JHEP03(2020)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using supersymmetric localization we compute the free energy and BPS Wilson
loop vacuum expectation values for planar maximally supersymmetric Yang-Mills
theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same
calculation can also be performed in supergravity using the recently found
spherical brane solutions. We find excellent agreement between the two sets of
results. This constitutes a non-trivial precision test of holography in a
non-conformal setting. The free energy of maximal SYM on $S^6$ diverges in the
strong coupling limit which might signify the onset of little string theory. We
show how this divergence can be regularized both in QFT and in supergravity. We
also consider $d=7$ with a small negative 't Hooft coupling and show that the
free energy and Wilson loop vacuum expectation value agree with the results
from supergravity after addressing some subtleties.
| [
{
"created": "Fri, 18 Oct 2019 18:00:00 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Bobev",
"Nikolay",
""
],
[
"Bomans",
"Pieter",
""
],
[
"Gautason",
"Fridrik Freyr",
""
],
[
"Minahan",
"Joseph A.",
""
],
[
"Nedelin",
"Anton",
""
]
] | Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same calculation can also be performed in supergravity using the recently found spherical brane solutions. We find excellent agreement between the two sets of results. This constitutes a non-trivial precision test of holography in a non-conformal setting. The free energy of maximal SYM on $S^6$ diverges in the strong coupling limit which might signify the onset of little string theory. We show how this divergence can be regularized both in QFT and in supergravity. We also consider $d=7$ with a small negative 't Hooft coupling and show that the free energy and Wilson loop vacuum expectation value agree with the results from supergravity after addressing some subtleties. |
0812.4790 | Edwin J. Son | Wontae Kim, Edwin J. Son | Chiral black hole in three-dimensional gravitational Chern-Simons | 6 pages, a reference added, minor changes to introduction | Mod.Phys.Lett.A24:1829-1834,2009 | 10.1142/S0217732309031181 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A chiral black hole can be defined from the three-dimensional pure
gravitational Chern-Simons action as an independent gravitational theory. The
third order derivative of the Cotton tensor gives a dimensional constant which
plays a role of the cosmological constant. The handedness of angular momentum
depends on the signature of the Chern-Simons coefficient. Even in the massless
black hole which corresponds to the static black hole, it has a nonvanishing
angular momentum. We also study statistical entropy and thermodynamic
stability.
| [
{
"created": "Sun, 28 Dec 2008 04:18:25 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jan 2009 06:17:34 GMT",
"version": "v2"
}
] | 2009-11-19 | [
[
"Kim",
"Wontae",
""
],
[
"Son",
"Edwin J.",
""
]
] | A chiral black hole can be defined from the three-dimensional pure gravitational Chern-Simons action as an independent gravitational theory. The third order derivative of the Cotton tensor gives a dimensional constant which plays a role of the cosmological constant. The handedness of angular momentum depends on the signature of the Chern-Simons coefficient. Even in the massless black hole which corresponds to the static black hole, it has a nonvanishing angular momentum. We also study statistical entropy and thermodynamic stability. |
1511.02757 | Betti Hartmann | Yves Brihaye, Adolfo Cisterna, Betti Hartmann, Gabriel Luchini | From topological to non-topological solitons: kinks, domain walls and
Q-balls in a scalar field model with non-trivial vacuum manifold | 17 pages including 9 figures; v2: conclusions extended, references
added, matches version accepted for publication in Phys. Rev. D | Phys. Rev. D 92, 124061 (2015) | 10.1103/PhysRevD.92.124061 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a scalar field model with a self-interaction potential that
possesses a discrete vacuum manifold. We point out that this model allows for
both topological as well as non-topological solitons. In (1+1) dimensions both
type of solutions have finite energy, while in (3+1) dimensions, the
topological solitons have finite energy per unit area only and correspond to
domain walls. Non-topological solitons with finite energy do exist in (3+1)
dimensions due to a non-trivial phase of the scalar field and an associated
U(1) symmetry of the model, though. We construct these so-called Q-ball
solutions numerically, point out the differences to previous studies with
different scalar field potentials and also discuss the influence of a minimal
coupling to both gravity as well as a U(1) gauge field. In this latter case,
the conserved Noether charge Q can be interpreted as the electric charge of the
solution.
| [
{
"created": "Mon, 9 Nov 2015 16:56:12 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 14:18:36 GMT",
"version": "v2"
}
] | 2016-01-06 | [
[
"Brihaye",
"Yves",
""
],
[
"Cisterna",
"Adolfo",
""
],
[
"Hartmann",
"Betti",
""
],
[
"Luchini",
"Gabriel",
""
]
] | We consider a scalar field model with a self-interaction potential that possesses a discrete vacuum manifold. We point out that this model allows for both topological as well as non-topological solitons. In (1+1) dimensions both type of solutions have finite energy, while in (3+1) dimensions, the topological solitons have finite energy per unit area only and correspond to domain walls. Non-topological solitons with finite energy do exist in (3+1) dimensions due to a non-trivial phase of the scalar field and an associated U(1) symmetry of the model, though. We construct these so-called Q-ball solutions numerically, point out the differences to previous studies with different scalar field potentials and also discuss the influence of a minimal coupling to both gravity as well as a U(1) gauge field. In this latter case, the conserved Noether charge Q can be interpreted as the electric charge of the solution. |
1109.0053 | Alejandro Gallardo | Gallardo Alejandro | Time boundary terms and Dirac constraints | 12 pages | International Journal of Modern Physics A Vol. 27, No. 11 (2012)
1250058 | 10.1142/S0217751X12500583 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Time boundary terms usually added to action principles are systematically
handled in the framework of Dirac's canonical analysis. The procedure begins
with the introduction of the boundary term into the integral Hamiltonian action
and then the resulting action is interpreted as a Lagrangian one to which
Dirac's method is applied. Once the general theory is developed, the current
procedure is implemented and illustrated in various examples which are
originally endowed with different types of constraints.
| [
{
"created": "Wed, 31 Aug 2011 23:41:25 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2011 21:11:36 GMT",
"version": "v2"
}
] | 2012-05-09 | [
[
"Alejandro",
"Gallardo",
""
]
] | Time boundary terms usually added to action principles are systematically handled in the framework of Dirac's canonical analysis. The procedure begins with the introduction of the boundary term into the integral Hamiltonian action and then the resulting action is interpreted as a Lagrangian one to which Dirac's method is applied. Once the general theory is developed, the current procedure is implemented and illustrated in various examples which are originally endowed with different types of constraints. |
hep-th/9411093 | Eric Bergshoeff | E. Bergshoeff and M. Vasiliev | The Calogero Model and the Virasoro Symmetry | 22 pages, Latex | Int.J.Mod.Phys. A10 (1995) 3477-3496 | 10.1142/S0217751X95001662 | UG-10/94, FIAN/TD/17/94 | hep-th | null | We construct new realizations of the Virasoro algebra inspired by the
Calogero model. The Virasoro algebra we find acts as a kind of
spectrum-generating algebra of the Calogero model. We furthermore present the
superextension of these results and introduce a class of higher-spin extensions
of the Virasoro algebra which are of the $W_\infty$ - type.
| [
{
"created": "Mon, 14 Nov 1994 10:12:22 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bergshoeff",
"E.",
""
],
[
"Vasiliev",
"M.",
""
]
] | We construct new realizations of the Virasoro algebra inspired by the Calogero model. The Virasoro algebra we find acts as a kind of spectrum-generating algebra of the Calogero model. We furthermore present the superextension of these results and introduce a class of higher-spin extensions of the Virasoro algebra which are of the $W_\infty$ - type. |
1806.00043 | Dario Zappala | Dario Zappala | Indications of isotropic Lifshitz points in four dimensions | 10 pages, 6 figures | Phys. Rev. D 98, 085005 (2018) | 10.1103/PhysRevD.98.085005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The presence of isotropic Lifshitz points for a U(1) symmetric scalar theory
is investigated with the help of the Functional Renormalization Group at the
conjectured lower critical dimension d=4. To this aim, a suitable truncation in
the expansion of the effective action in powers of the field is considered and,
consequently, the Renormalization Group flow is reduced to a set of ordinary
differential equations for the parameters that define the effective action.
Within this approximation, indications of a line of Lifshitz points are found,
that present evident similarities with the properties shown by the line of
fixed points observed in the two dimensional Berezinsky-Kosterlitz-Thouless
phase. In particular, this line of Lifshitz points exhibits the vanishing of
the expectation value of the field, together with a finite stiffness and, for
specific combinations of the parameters that define the effective action, also
the algebraic decay at large distance of the order parameter correlations.
| [
{
"created": "Thu, 31 May 2018 18:35:37 GMT",
"version": "v1"
}
] | 2018-10-17 | [
[
"Zappala",
"Dario",
""
]
] | The presence of isotropic Lifshitz points for a U(1) symmetric scalar theory is investigated with the help of the Functional Renormalization Group at the conjectured lower critical dimension d=4. To this aim, a suitable truncation in the expansion of the effective action in powers of the field is considered and, consequently, the Renormalization Group flow is reduced to a set of ordinary differential equations for the parameters that define the effective action. Within this approximation, indications of a line of Lifshitz points are found, that present evident similarities with the properties shown by the line of fixed points observed in the two dimensional Berezinsky-Kosterlitz-Thouless phase. In particular, this line of Lifshitz points exhibits the vanishing of the expectation value of the field, together with a finite stiffness and, for specific combinations of the parameters that define the effective action, also the algebraic decay at large distance of the order parameter correlations. |
hep-th/0010105 | Brodie | B.A.Bernevig, J. Brodie, L. Susskind, and N. Toumbas | How Bob Laughlin Tamed the Giant Graviton from Taub-NUT space | 26 pages, 4 figures, discussions added | JHEP 0102:003,2001 | 10.1088/1126-6708/2001/02/003 | SLAC-PUB-8657, SU-ITP-00-25 | hep-th cond-mat.mes-hall | null | In this paper we show how two dimensional electron systems can be modeled by
strings interacting with D-branes. The dualities of string theory allow several
descriptions of the system. These include descriptions in terms of solitons in
the near horizon D6-brane theory, non-commutative gauge theory on a D2-brane,
the Matrix Theory of D0-branes and finally as a giant graviton in M-theory. The
soliton can be described as a D2-brane with an incompressible fluid of
D0-branes and charged string-ends moving on it. Including an NS5 brane in the
system allows for the existence of an edge with the characteristic massless
chiral edge states of the Quantum Hall system.
| [
{
"created": "Thu, 12 Oct 2000 22:05:24 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Oct 2000 00:39:39 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bernevig",
"B. A.",
""
],
[
"Brodie",
"J.",
""
],
[
"Susskind",
"L.",
""
],
[
"Toumbas",
"N.",
""
]
] | In this paper we show how two dimensional electron systems can be modeled by strings interacting with D-branes. The dualities of string theory allow several descriptions of the system. These include descriptions in terms of solitons in the near horizon D6-brane theory, non-commutative gauge theory on a D2-brane, the Matrix Theory of D0-branes and finally as a giant graviton in M-theory. The soliton can be described as a D2-brane with an incompressible fluid of D0-branes and charged string-ends moving on it. Including an NS5 brane in the system allows for the existence of an edge with the characteristic massless chiral edge states of the Quantum Hall system. |
1711.03816 | Douglas Stanford | David Simmons-Duffin, Douglas Stanford, and Edward Witten | A spacetime derivation of the Lorentzian OPE inversion formula | 26 pages plus appendices | null | 10.1007/JHEP07(2018)085 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Caron-Huot has recently given an interesting formula that determines OPE data
in a conformal field theory in terms of a weighted integral of the four-point
function over a Lorentzian region of cross-ratio space. We give a new
derivation of this formula based on Wick rotation in spacetime rather than
cross-ratio space. The derivation is simple in two dimensions but more involved
in higher dimensions. We also derive a Lorentzian inversion formula in one
dimension that sheds light on previous observations about the chaos regime in
the SYK model.
| [
{
"created": "Fri, 10 Nov 2017 13:47:47 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Simmons-Duffin",
"David",
""
],
[
"Stanford",
"Douglas",
""
],
[
"Witten",
"Edward",
""
]
] | Caron-Huot has recently given an interesting formula that determines OPE data in a conformal field theory in terms of a weighted integral of the four-point function over a Lorentzian region of cross-ratio space. We give a new derivation of this formula based on Wick rotation in spacetime rather than cross-ratio space. The derivation is simple in two dimensions but more involved in higher dimensions. We also derive a Lorentzian inversion formula in one dimension that sheds light on previous observations about the chaos regime in the SYK model. |
1404.3105 | Marcelo Botta Cantcheff | Marcelo Botta Cantcheff | Area Operators in Holographic Quantum Gravity | Essay written for the Gravity Research Foundation 2014 Awards for
Essays on Gravitation. Minor corrections. Figure and reference added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the holographic formula relating entanglement entropy and the
area of a minimal surface is the key to define the area of surfaces in the
(emergent) spacetime from the dual theory on the boundary. So we promote the
entropy/area relation to operators to define the "area" observable in a
holographic formulation of quantum gravity, then we find a suitable geometric
representation for the states, and show that the Ryu-Takayanagi proposal is
recovered in the approximation of semi-classical gravity. Finally, we discuss
this picture in the example of a AdS-Black hole.
| [
{
"created": "Fri, 11 Apr 2014 13:43:52 GMT",
"version": "v1"
}
] | 2014-04-14 | [
[
"Cantcheff",
"Marcelo Botta",
""
]
] | We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area relation to operators to define the "area" observable in a holographic formulation of quantum gravity, then we find a suitable geometric representation for the states, and show that the Ryu-Takayanagi proposal is recovered in the approximation of semi-classical gravity. Finally, we discuss this picture in the example of a AdS-Black hole. |
1501.04389 | Ling Yan Hung Dr | Ling-Yan Hung and Yidun Wan | Revisiting Entanglement Entropy of Lattice Gauge Theories | 15 pages, 3 figures | JHEP 1504 (2015) 122 | 10.1007/JHEP04(2015)122 | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Casini et al raise the issue that the entanglement entropy in gauge theories
is ambiguous because its definition depends on the choice of the boundary
between two regions.; even a small change in the boundary could annihilate the
otherwise finite topological entanglement entropy between two regions. In this
article, we first show that the topological entanglement entropy in the Kitaev
model which is not a true gauge theory, is free of ambiguity. Then, we give a
physical interpretation, from the perspectives of what can be measured in an
experiement, to the purported ambiguity of true gauge theories, where the
topological entanglement arises as redundancy in counting the degrees of
freedom along the boundary separating two regions. We generalize these
discussions to non-Abelian gauge theories.
| [
{
"created": "Mon, 19 Jan 2015 05:17:01 GMT",
"version": "v1"
}
] | 2015-07-02 | [
[
"Hung",
"Ling-Yan",
""
],
[
"Wan",
"Yidun",
""
]
] | Casini et al raise the issue that the entanglement entropy in gauge theories is ambiguous because its definition depends on the choice of the boundary between two regions.; even a small change in the boundary could annihilate the otherwise finite topological entanglement entropy between two regions. In this article, we first show that the topological entanglement entropy in the Kitaev model which is not a true gauge theory, is free of ambiguity. Then, we give a physical interpretation, from the perspectives of what can be measured in an experiement, to the purported ambiguity of true gauge theories, where the topological entanglement arises as redundancy in counting the degrees of freedom along the boundary separating two regions. We generalize these discussions to non-Abelian gauge theories. |
hep-th/9712057 | Harald Dorn | H.Dorn | Non-Abelian gauge field dynamics on matrix D-branes in curved space and
two-dimensional $\sigma$-models | 8 pages, 1 figure, LATEX | Fortsch.Phys. 47 (1999) 151-157 | 10.1002/(SICI)1521-3978(199901)47:1/3<151::AID-PROP151>3.0.CO;2-3 | HU Berlin-EP-97/89 | hep-th | null | A survey is given of the formulation of a $\sigma$-model describing an open
string moving in general target space background fields and coupling to both a
matrix-valued D-brane position and a matrix-valued gauge field on the D-brane.
The equations of motion for the D-brane and the gauge field are derived from
the conformal invariance condition on the string world sheet in lowest order of
$\ap$. The ordering problem of the involved matrices is solved. In addition to
our previous work we discuss a conflict between the classical T-duality rules
and renormalization. The calculation of the RG $\beta$-functions does not yield
the mass term obtained by formal application of these rules in the case of
target space separated D-brane copies.
| [
{
"created": "Fri, 5 Dec 1997 12:27:20 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Dorn",
"H.",
""
]
] | A survey is given of the formulation of a $\sigma$-model describing an open string moving in general target space background fields and coupling to both a matrix-valued D-brane position and a matrix-valued gauge field on the D-brane. The equations of motion for the D-brane and the gauge field are derived from the conformal invariance condition on the string world sheet in lowest order of $\ap$. The ordering problem of the involved matrices is solved. In addition to our previous work we discuss a conflict between the classical T-duality rules and renormalization. The calculation of the RG $\beta$-functions does not yield the mass term obtained by formal application of these rules in the case of target space separated D-brane copies. |
1811.05675 | Junyu Liu | Ning Bao, Junyu Liu | Quantum algorithms for conformal bootstrap | 22 pages, 2 figures | Nuclear Physics B, 2019, 114702 | 10.1016/j.nuclphysb.2019.114702 | CALT-TH-2018-050 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With the help of recent developments in quantum algorithms for semidefinite
programming, we discuss the possibility for quantum speedup for the numerical
conformal bootstrap in conformal field theory. We show that quantum algorithms
may have significant improvement in the computational performance for several
numerical bootstrap problems.
| [
{
"created": "Wed, 14 Nov 2018 08:02:36 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Aug 2019 23:06:13 GMT",
"version": "v2"
}
] | 2019-08-12 | [
[
"Bao",
"Ning",
""
],
[
"Liu",
"Junyu",
""
]
] | With the help of recent developments in quantum algorithms for semidefinite programming, we discuss the possibility for quantum speedup for the numerical conformal bootstrap in conformal field theory. We show that quantum algorithms may have significant improvement in the computational performance for several numerical bootstrap problems. |
hep-th/9908163 | Alberto Zaffaroni | S. Ferrara, A. Zaffaroni | Superconformal Field Theories, Multiplet Shortening, and the
AdS$_5$/SCFT$_4$ Correspondence | minor changes, references added | null | null | null | hep-th | null | We review the unitarity bounds and the multiplet shortening of UIR's of 4
dimensional superconformal algebras $SU(2,2|N)$, ($N=1,2,4$) in view of their
dual role in the AdS/SCFT correspondence. Some applications to KK spectra,
non-perturbative states and stringy states are given.
| [
{
"created": "Wed, 25 Aug 1999 10:05:30 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 1999 16:27:53 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ferrara",
"S.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | We review the unitarity bounds and the multiplet shortening of UIR's of 4 dimensional superconformal algebras $SU(2,2|N)$, ($N=1,2,4$) in view of their dual role in the AdS/SCFT correspondence. Some applications to KK spectra, non-perturbative states and stringy states are given. |
1601.03616 | Ignacio A. Reyes | M\'aximo Ba\~nados and Ignacio A. Reyes | A short review on Noether's theorems, gauge symmetries and boundary
terms | 75 pages, 4 figures | null | 10.1142/S0218271816300214 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This review is dedicated to some modern applications of the remarkable paper
written in 1918 by E. Noether. On a single paper, Noether discovered the
crucial relation between symmetries and conserved charges as well as the impact
of gauge symmetries on the equations of motion. Almost a century has gone since
the publication of this work and its applications have permeated modern
physics. Our focus will be on some examples that have appeared recently in the
literature. This review is aim at students, not researchers. The main three
topics discussed are (i) global symmetries and conserved charges (ii) local
symmetries and gauge structure of a theory (iii) boundary conditions and
algebra of asymptotic symmetries. All three topics are discussed through
examples.
| [
{
"created": "Thu, 14 Jan 2016 15:11:41 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jun 2016 19:13:08 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Aug 2017 09:56:01 GMT",
"version": "v3"
}
] | 2017-08-31 | [
[
"Bañados",
"Máximo",
""
],
[
"Reyes",
"Ignacio A.",
""
]
] | This review is dedicated to some modern applications of the remarkable paper written in 1918 by E. Noether. On a single paper, Noether discovered the crucial relation between symmetries and conserved charges as well as the impact of gauge symmetries on the equations of motion. Almost a century has gone since the publication of this work and its applications have permeated modern physics. Our focus will be on some examples that have appeared recently in the literature. This review is aim at students, not researchers. The main three topics discussed are (i) global symmetries and conserved charges (ii) local symmetries and gauge structure of a theory (iii) boundary conditions and algebra of asymptotic symmetries. All three topics are discussed through examples. |
hep-th/9801190 | J\"urgen Fuchs | J. Fuchs, C. Schweigert | D-brane conformal field theory | 7 pages, LaTeX2e. Slightly extended version of a talk given by J.
Fuchs at the 31st International Symposium Ahrenshoop on the Theory of
Elementary Particles, Buckow, Germany, September 1997 | null | null | CERN-TH/98-17 | hep-th | null | We outline the structure of boundary conditions in conformal field theory. A
boundary condition is specified by a consistent collection of reflection
coefficients for bulk fields on the disk together with a choice of an
automorphism \omega of the fusion rules that preserves conformal weights.
Non-trivial automorphisms \omega correspond to D-brane configurations for
arbitrary conformal field theories.
| [
{
"created": "Wed, 28 Jan 1998 13:15:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] | We outline the structure of boundary conditions in conformal field theory. A boundary condition is specified by a consistent collection of reflection coefficients for bulk fields on the disk together with a choice of an automorphism \omega of the fusion rules that preserves conformal weights. Non-trivial automorphisms \omega correspond to D-brane configurations for arbitrary conformal field theories. |
1602.02240 | Reginald Christian Bernardo | Reginald Christian Bernardo, Jose Perico Esguerra | Exactly solvable dynamical models with a minimal length uncertainty | This is a version of the manuscript (10 pages) submitted to Few-Body
Systems on 16 December 2014. A revised version has been accepted by Few-Body
Systems on 9 April 2015 | Few-Body Systems 56.4-5 (2015): 219-229 | 10.1007/s00601-015-0978-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present exact analytical solutions to the classical equations of motion
and analyze the dynamical consequences of the existence of a minimal length for
the free particle, particle in a linear potential, anti-symmetric constant
force oscillator, harmonic oscillator, vertical harmonic oscillator, linear
diatomic chain, and linear triatomic chain. It turns out that a minimal length
increases the speed of a free particle and the rate of fall of a particle that
is subject to the influence of a linear potential. Our results suggest that the
characteristic frequency of systems tend to increase when there is a minimal
length. This is a common feature that we observed for the oscillator systems
that we have considered.
| [
{
"created": "Sat, 6 Feb 2016 11:44:03 GMT",
"version": "v1"
}
] | 2016-02-09 | [
[
"Bernardo",
"Reginald Christian",
""
],
[
"Esguerra",
"Jose Perico",
""
]
] | We present exact analytical solutions to the classical equations of motion and analyze the dynamical consequences of the existence of a minimal length for the free particle, particle in a linear potential, anti-symmetric constant force oscillator, harmonic oscillator, vertical harmonic oscillator, linear diatomic chain, and linear triatomic chain. It turns out that a minimal length increases the speed of a free particle and the rate of fall of a particle that is subject to the influence of a linear potential. Our results suggest that the characteristic frequency of systems tend to increase when there is a minimal length. This is a common feature that we observed for the oscillator systems that we have considered. |
hep-th/9805214 | Charles A. Nelson | Sicong Jing and Charles A. Nelson | The State-Vector Space for Two-Mode Parabosons and Charged Parabose
Coherent States | 13 pages, LaTeX file, no figures and no macros | J.Phys.A32:4131-4138,1999 | 10.1088/0305-4470/32/22/313 | SUNY BING 5/21/98 | hep-th | null | The structure of the state-vector space for the two-mode parabose system is
investigated and a complete set of state-vectors is constructed. The basis
vectors are orthonormal in order $p=2$. In order $p=2$, conserved-charge
parabose coherent states are constructed and an explicit completeness relation
is obtained.
| [
{
"created": "Fri, 29 May 1998 15:07:44 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jing",
"Sicong",
""
],
[
"Nelson",
"Charles A.",
""
]
] | The structure of the state-vector space for the two-mode parabose system is investigated and a complete set of state-vectors is constructed. The basis vectors are orthonormal in order $p=2$. In order $p=2$, conserved-charge parabose coherent states are constructed and an explicit completeness relation is obtained. |
2007.10523 | Anna Karlsson | Anna Karlsson | Replica wormhole and island incompatibility with monogamy of
entanglement | 10 pages. v2: references added, text added to \S 3 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the `island conjecture' and the replica wormhole derivation of
the Page curve break monogamy of entanglement through allowing black hole
interior states to be non-classically correlated while also pairwise entangled
with radiation states. The reason is that quantum degrees of freedom (present
in any half of a Hawking pair) cannot all be identified with the environment at
semi-classical pair production, and can only be fixed relative to a subsystem,
as required for the Page curve, by correlations equivalent to entanglement -
regardless of what those correlations are attributed to. This implies that the
recent gravity (replica wormhole) and holographic (island conjecture)
derivations of the Page curve entail new physics not yet properly taken into
account.
| [
{
"created": "Mon, 20 Jul 2020 23:03:16 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Sep 2020 14:11:55 GMT",
"version": "v2"
}
] | 2020-09-30 | [
[
"Karlsson",
"Anna",
""
]
] | We argue that the `island conjecture' and the replica wormhole derivation of the Page curve break monogamy of entanglement through allowing black hole interior states to be non-classically correlated while also pairwise entangled with radiation states. The reason is that quantum degrees of freedom (present in any half of a Hawking pair) cannot all be identified with the environment at semi-classical pair production, and can only be fixed relative to a subsystem, as required for the Page curve, by correlations equivalent to entanglement - regardless of what those correlations are attributed to. This implies that the recent gravity (replica wormhole) and holographic (island conjecture) derivations of the Page curve entail new physics not yet properly taken into account. |
2312.04517 | Vincent Menet | Vincent Menet | D-terms in Generalised Complex Geometry | v2: section 4 substantially expanded, close to published version.
arXiv admin note: text overlap with arXiv:2311.12115 | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Generalised Complex Geometry provides a natural interpretation of the
$\mathcal{N}=1$ supersymmetry conditions for warped solutions of type II
supergravity as differential equations on polyforms on the internal manifold.
Written in this language the supersymmetry conditions correspond to calibration
conditions for probe D-branes: D-string, domain-wall or space-filling branes,
depending on the directions they span in the non-compact four-dimensional
space. The BPS condition corresponding to the calibration of space-filling
D-branes has been reformulated by Tomasiello, eliminating the explicit
dependence on the metric. We generalise this derivation to the case of
non-supersymmetric backgrounds violating the domain-wall and D-string
calibration conditions. We use this reformulation to derive constraints that
the ten-dimensional solutions with BPS space-filling sources must respect in
order to dimensionally reduce to solutions of four-dimensional $\mathcal{N}=1$
supergravity with non-vanishing F-terms and potentially non-vanishing D-terms.
We give the equations of motion for the class of type II vacua satisfying these
constraints in the language of pure spinors. We investigate how restrictive
these constraints are for the class of type IIB SU$(3)$ backgrounds with BPS
space-filling O5-planes.
| [
{
"created": "Thu, 7 Dec 2023 18:37:02 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2024 11:00:06 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Menet",
"Vincent",
""
]
] | Generalised Complex Geometry provides a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this language the supersymmetry conditions correspond to calibration conditions for probe D-branes: D-string, domain-wall or space-filling branes, depending on the directions they span in the non-compact four-dimensional space. The BPS condition corresponding to the calibration of space-filling D-branes has been reformulated by Tomasiello, eliminating the explicit dependence on the metric. We generalise this derivation to the case of non-supersymmetric backgrounds violating the domain-wall and D-string calibration conditions. We use this reformulation to derive constraints that the ten-dimensional solutions with BPS space-filling sources must respect in order to dimensionally reduce to solutions of four-dimensional $\mathcal{N}=1$ supergravity with non-vanishing F-terms and potentially non-vanishing D-terms. We give the equations of motion for the class of type II vacua satisfying these constraints in the language of pure spinors. We investigate how restrictive these constraints are for the class of type IIB SU$(3)$ backgrounds with BPS space-filling O5-planes. |
2007.16091 | Yiming Chen | Yiming Chen, Victor Gorbenko, Juan Maldacena | Bra-ket wormholes in gravitationally prepared states | 74 pages, 32 figures. V2: reference added. V3: some extra
clarification added. V4: added appendix D on the allowability of the dS
contours based on a recent proposal by Kontsevich, Segal and Witten | null | 10.1007/JHEP02(2021)009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two dimensional CFT states that are produced by a gravitational
path integral.
As a first case, we consider a state produced by Euclidean $AdS_2$ evolution
followed by flat space evolution. We use the fine grained entropy formula to
explore the nature of the state. We find that the naive hyperbolic space
geometry leads to a paradox. This is solved if we include a geometry that
connects the bra with the ket, a bra-ket wormhole. The semiclassical Lorentzian
interpretation leads to CFT state entangled with an expanding and collapsing
Friedmann cosmology.
As a second case, we consider a state produced by Lorentzian $dS_2$
evolution, again followed by flat space evolution. The most naive geometry also
leads to a similar paradox. We explore several possible bra-ket wormholes. The
most obvious one leads to a badly divergent temperature. The most promising one
also leads to a divergent temperature but by making a projection onto low
energy states we find that it has features that look similar to the previous
Euclidean case. In particular, the maximum entropy of an interval in the future
is set by the de Sitter entropy.
| [
{
"created": "Fri, 31 Jul 2020 14:11:41 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2020 14:22:31 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Feb 2021 00:34:56 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Dec 2021 03:08:15 GMT",
"version": "v4"
}
] | 2021-12-06 | [
[
"Chen",
"Yiming",
""
],
[
"Gorbenko",
"Victor",
""
],
[
"Maldacena",
"Juan",
""
]
] | We consider two dimensional CFT states that are produced by a gravitational path integral. As a first case, we consider a state produced by Euclidean $AdS_2$ evolution followed by flat space evolution. We use the fine grained entropy formula to explore the nature of the state. We find that the naive hyperbolic space geometry leads to a paradox. This is solved if we include a geometry that connects the bra with the ket, a bra-ket wormhole. The semiclassical Lorentzian interpretation leads to CFT state entangled with an expanding and collapsing Friedmann cosmology. As a second case, we consider a state produced by Lorentzian $dS_2$ evolution, again followed by flat space evolution. The most naive geometry also leads to a similar paradox. We explore several possible bra-ket wormholes. The most obvious one leads to a badly divergent temperature. The most promising one also leads to a divergent temperature but by making a projection onto low energy states we find that it has features that look similar to the previous Euclidean case. In particular, the maximum entropy of an interval in the future is set by the de Sitter entropy. |
hep-th/0508155 | Kurusch Ebrahimi-Fard | K. Ebrahimi-Fard, L. Guo | Matrix Representation of Renormalization in Perturbative Quantum Field
Theory | 44 pages, some diagrams were generated with JAXODRAW | null | null | null | hep-th math-ph math.MP | null | We formulate the Hopf algebraic approach of Connes and Kreimer to
renormalization in perturbative quantum field theory using triangular matrix
representation. We give a Rota-Baxter anti-homomorphism from general
regularized functionals on the Feynman graph Hopf algebra to triangular
matrices with entries in a Rota-Baxter algebra. For characters mapping to the
group of unipotent triangular matrices we derive the algebraic Birkhoff
decomposition for matrices using Spitzer's identity. This simple matrix
factorization is applied to characterize and calculate perturbative
renormalization.
| [
{
"created": "Sun, 21 Aug 2005 18:03:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ebrahimi-Fard",
"K.",
""
],
[
"Guo",
"L.",
""
]
] | We formulate the Hopf algebraic approach of Connes and Kreimer to renormalization in perturbative quantum field theory using triangular matrix representation. We give a Rota-Baxter anti-homomorphism from general regularized functionals on the Feynman graph Hopf algebra to triangular matrices with entries in a Rota-Baxter algebra. For characters mapping to the group of unipotent triangular matrices we derive the algebraic Birkhoff decomposition for matrices using Spitzer's identity. This simple matrix factorization is applied to characterize and calculate perturbative renormalization. |
hep-th/0410086 | Vasiliy Kuratov | N.A. Gromov, V.V. Kuratov | Quantum kinematics | Talk given at the Int. conference "Non-Commutative Geometry and
Representation Theory in Mathematical Physics", 5-10 July, 2004, Karlstad,
Sweden and at XI Int. conference "Symmetry Metods in Physics", 21-24 June,
2004, Prague, Czech Republic, 24 pages, 1 figure | null | null | null | hep-th math.QA | null | The FRT quantum group and space theory is reformulated from the standard
mathematical basis to an arbitrary one. The $N$-dimensional quantum vector
Cayley-Klein spaces are described in Cartesian basis and the quantum analogs of
$(N-1)$-dimensional constant curvature spaces are introduced. Part of the
4-dimensional constant curvature spaces are interpreted as the non-commutative
analogs of $(1+3)$ kinematics. A different unifications of Cayley-Klein and
Hopf structures in a kinematics are described with the help of permutations.
All permutations which lead to the physically nonequivalent kinematics are
found and the corresponding non-commutative $(1+3)$ kinematics are
investigated. As a result the quantum (anti) de Sitter, Minkowski, Newton,
Galilei kinematics with the fundamental length, the fundamental mass and the
fundamental velocity are obtained.
| [
{
"created": "Fri, 8 Oct 2004 12:03:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gromov",
"N. A.",
""
],
[
"Kuratov",
"V. V.",
""
]
] | The FRT quantum group and space theory is reformulated from the standard mathematical basis to an arbitrary one. The $N$-dimensional quantum vector Cayley-Klein spaces are described in Cartesian basis and the quantum analogs of $(N-1)$-dimensional constant curvature spaces are introduced. Part of the 4-dimensional constant curvature spaces are interpreted as the non-commutative analogs of $(1+3)$ kinematics. A different unifications of Cayley-Klein and Hopf structures in a kinematics are described with the help of permutations. All permutations which lead to the physically nonequivalent kinematics are found and the corresponding non-commutative $(1+3)$ kinematics are investigated. As a result the quantum (anti) de Sitter, Minkowski, Newton, Galilei kinematics with the fundamental length, the fundamental mass and the fundamental velocity are obtained. |
2002.05460 | Dimitrios Zoakos | George Georgiou, Dimitrios Zoakos | Giant Gravitons on the Schrodinger pp-wave geometry | 19 pages, 1 figure | null | 10.1007/JHEP03(2020)185 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new giant graviton solution on the recently constructed
pp-wave geometry of the non-supersymmetric Schrodinger background. That
solution exhibits an intriguing behavior as the deformation parameter of the
spacetime varies. Firstly, the degeneracy between the giant and the point
graviton is lifted for the benefit of the giant graviton as soon as the
deformation is turned on. Secondly, when the deformation parameter exceeds a
critical value the barrier separating the point from the giant graviton
disappears. This suggests that the mere presence of a D3-brane leads to the
spontaneous breaking of conformal invariance. We perform a detailed analysis of
the full bosonic spectrum, which reveals that the deformation induces a
coupling between the scalar and the gauge field fluctuations. It is exactly
this coupling that keeps the giant graviton free of tachyonic instabilities.
Furthermore, the giant graviton configuration completely breaks the
supersymmetry of the pp-wave background, as the Kappa-symmetry analysis
suggests.
| [
{
"created": "Thu, 13 Feb 2020 11:56:35 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Georgiou",
"George",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We construct a new giant graviton solution on the recently constructed pp-wave geometry of the non-supersymmetric Schrodinger background. That solution exhibits an intriguing behavior as the deformation parameter of the spacetime varies. Firstly, the degeneracy between the giant and the point graviton is lifted for the benefit of the giant graviton as soon as the deformation is turned on. Secondly, when the deformation parameter exceeds a critical value the barrier separating the point from the giant graviton disappears. This suggests that the mere presence of a D3-brane leads to the spontaneous breaking of conformal invariance. We perform a detailed analysis of the full bosonic spectrum, which reveals that the deformation induces a coupling between the scalar and the gauge field fluctuations. It is exactly this coupling that keeps the giant graviton free of tachyonic instabilities. Furthermore, the giant graviton configuration completely breaks the supersymmetry of the pp-wave background, as the Kappa-symmetry analysis suggests. |
0707.3097 | Elena Poletaeva | Elena Poletaeva | On matrix realizations of the contact superconformal algebra
$\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra | 5 pages, LaTex, to be published in Dynamics of Continuous, Discrete
and Impulsive Systems-Series A (Special Issue) in 2007 | null | null | null | hep-th | null | The superalgebra $\hat{K}'(4)$ and the exceptional N = 6 superconformal
algebra have ``small'' irreducible representations in the superspaces $V^{\mu}
= t^{\mu}\C[t, t^{-1}]\otimes\Lambda(N)$, where N = 2 and 3, respectively. For
${\mu \in \C\backslash \Z}$ they are associated to the embeddings of these
superalgebras into the Lie superalgebras of pseudodifferential symbols on the
supercircle S^{1|N}. In this work we describe $\hat{K}'(4)$ and the exceptional
N = 6 superconformal algebra in terms of matrices over a Weyl algebra.
Correspondingly, we obtain realizations of their representations in $V^{\mu}$
for $\mu = 0$.
| [
{
"created": "Fri, 20 Jul 2007 15:48:59 GMT",
"version": "v1"
}
] | 2007-07-23 | [
[
"Poletaeva",
"Elena",
""
]
] | The superalgebra $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra have ``small'' irreducible representations in the superspaces $V^{\mu} = t^{\mu}\C[t, t^{-1}]\otimes\Lambda(N)$, where N = 2 and 3, respectively. For ${\mu \in \C\backslash \Z}$ they are associated to the embeddings of these superalgebras into the Lie superalgebras of pseudodifferential symbols on the supercircle S^{1|N}. In this work we describe $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra in terms of matrices over a Weyl algebra. Correspondingly, we obtain realizations of their representations in $V^{\mu}$ for $\mu = 0$. |
hep-th/0511211 | Jorge Henrique de Oliveira Sales | A.T.Suzuki, J.H.O.Sales | Gauge transformations are not canonical transformations | 4 pages | null | null | null | hep-th | null | In classical mechanics, we can describe the dynamics of a given system using
either the Lagrangian formalism or the Hamiltonian formalism, the choice of
either one being determined by whether one wants to deal with a second degree
differential equation or a pair of first degree ones. For the former approach,
we know that the Euler-Lagrange equation of motion remains invariant under
additive total derivative with respect to time of any function of coordinates
and time in the Lagrangian function, whereas the latter one is invariant under
canonical transformations. In this short paper we address the question whether
the transformation that leaves the Euler-Lagrange equation of motion invariant
is also a canonical transformation and show that it is not.
| [
{
"created": "Mon, 21 Nov 2005 18:20:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Suzuki",
"A. T.",
""
],
[
"Sales",
"J. H. O.",
""
]
] | In classical mechanics, we can describe the dynamics of a given system using either the Lagrangian formalism or the Hamiltonian formalism, the choice of either one being determined by whether one wants to deal with a second degree differential equation or a pair of first degree ones. For the former approach, we know that the Euler-Lagrange equation of motion remains invariant under additive total derivative with respect to time of any function of coordinates and time in the Lagrangian function, whereas the latter one is invariant under canonical transformations. In this short paper we address the question whether the transformation that leaves the Euler-Lagrange equation of motion invariant is also a canonical transformation and show that it is not. |
hep-th/0306014 | Martin B. Halpern | M.B.Halpern and C.Helfgott | Twisted Open Strings from Closed Strings: The WZW Orientation Orbifolds | 65 pages, typos corrected | Int.J.Mod.Phys.A19:2233-2292,2004 | 10.1142/S0217751X04018531 | null | hep-th | null | Including {\it world-sheet orientation-reversing automorphisms}
$\hat{h}_{\sigma} \in H_-$ in the orbifold program, we construct the operator
algebras and twisted KZ systems of the general WZW {\it orientation orbifold}
$A_g (H_-) /H_-$. We find that the orientation-orbifold sectors corresponding
to each $\hat{h}_{\sigma} \in H_-$ are {\it twisted open} WZW strings, whose
properties are quite distinct from conventional open-string orientifold
sectors. As simple illustrations, we also discuss the classical (high-level)
limit of our construction and free-boson examples on abelian $g$.
| [
{
"created": "Tue, 3 Jun 2003 05:28:42 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2004 07:25:30 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Halpern",
"M. B.",
""
],
[
"Helfgott",
"C.",
""
]
] | Including {\it world-sheet orientation-reversing automorphisms} $\hat{h}_{\sigma} \in H_-$ in the orbifold program, we construct the operator algebras and twisted KZ systems of the general WZW {\it orientation orbifold} $A_g (H_-) /H_-$. We find that the orientation-orbifold sectors corresponding to each $\hat{h}_{\sigma} \in H_-$ are {\it twisted open} WZW strings, whose properties are quite distinct from conventional open-string orientifold sectors. As simple illustrations, we also discuss the classical (high-level) limit of our construction and free-boson examples on abelian $g$. |
1303.4601 | Adel Khoudeir | Alexangel Bracho and Adel Khoudeir | First Order Actions for New Massive Dual Gravities | 13 pages, no figures. An second order action is added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a first order formulation for the fourth order action of the new
massive dual gravity in four dimensions. This proposal is easily generalized to
arbitrary dimension. Also, we obtain the dual actions for massless and massive
Curtright fields in D dimensions.
| [
{
"created": "Tue, 19 Mar 2013 14:04:33 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2013 22:46:00 GMT",
"version": "v2"
}
] | 2013-07-09 | [
[
"Bracho",
"Alexangel",
""
],
[
"Khoudeir",
"Adel",
""
]
] | We present a first order formulation for the fourth order action of the new massive dual gravity in four dimensions. This proposal is easily generalized to arbitrary dimension. Also, we obtain the dual actions for massless and massive Curtright fields in D dimensions. |
2403.09741 | Anthony Massidda | Anthony Massidda | A modern approach to String Amplitudes and Intersection Theory | Master Thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this thesis, we study the properties of String theory amplitudes within
the framework of Intersection Theory (IT) for twisted (co)homology, which, as
recently proposed, offered a novel approach to analyze relations between
scattering amplitudes, in string theory as well as in QFT. As only recently
pointed out, thanks to IT, the analytic properties of scattering amplitudes can
be related to the topological properties of the manifolds characterizing their
integral representation. Tree-level string amplitudes, as well as Feynman
integrals, obey both linear and quadratic relations governed by intersection
numbers, which act as scalar products between vector spaces. We show how
(co)homology with values in a local system allows to interpret closed strings
tree amplitudes as intersection numbers between twisted cocycles, and open
strings tree amplitudes as parings between a twisted cocycle and a twisted
cycle. We present different algorithms to evaluate univariate and multivariate
intersection numbers between both log and non-log twisted cocycles. We explore
a diagrammatic method for the computation of intersection number between
twisted cycles of the moduli space of the n-punctured Riemann sphere. We use IT
to rederive Kawai-Lewellen-Tye (KLT) relations, naturally emerging as a twisted
version of Riemann period relations. We compute intersection matrix between 2D
twisted cycles to explicitly obtain the KLT decomposition of five closed
tachyons tree amplitudes into partial five open tachyons tree amplitudes. We
explicitly determine the intersection matrix between 2D Parke-Taylor (PT)
forms. We use a recursive algorithm for generic n cocycle intersection numbers
to project tachyon amplitudes integrand into a PT basis, and we apply it to the
scattering of four and five tachyons. The methods discussed in the thesis can
be broadly applied to problems involving Aomoto-Gelfand integrals.
| [
{
"created": "Wed, 13 Mar 2024 19:22:03 GMT",
"version": "v1"
}
] | 2024-03-18 | [
[
"Massidda",
"Anthony",
""
]
] | In this thesis, we study the properties of String theory amplitudes within the framework of Intersection Theory (IT) for twisted (co)homology, which, as recently proposed, offered a novel approach to analyze relations between scattering amplitudes, in string theory as well as in QFT. As only recently pointed out, thanks to IT, the analytic properties of scattering amplitudes can be related to the topological properties of the manifolds characterizing their integral representation. Tree-level string amplitudes, as well as Feynman integrals, obey both linear and quadratic relations governed by intersection numbers, which act as scalar products between vector spaces. We show how (co)homology with values in a local system allows to interpret closed strings tree amplitudes as intersection numbers between twisted cocycles, and open strings tree amplitudes as parings between a twisted cocycle and a twisted cycle. We present different algorithms to evaluate univariate and multivariate intersection numbers between both log and non-log twisted cocycles. We explore a diagrammatic method for the computation of intersection number between twisted cycles of the moduli space of the n-punctured Riemann sphere. We use IT to rederive Kawai-Lewellen-Tye (KLT) relations, naturally emerging as a twisted version of Riemann period relations. We compute intersection matrix between 2D twisted cycles to explicitly obtain the KLT decomposition of five closed tachyons tree amplitudes into partial five open tachyons tree amplitudes. We explicitly determine the intersection matrix between 2D Parke-Taylor (PT) forms. We use a recursive algorithm for generic n cocycle intersection numbers to project tachyon amplitudes integrand into a PT basis, and we apply it to the scattering of four and five tachyons. The methods discussed in the thesis can be broadly applied to problems involving Aomoto-Gelfand integrals. |
hep-th/0207130 | Maurizio Gasperini | M. Gasperini and G. Veneziano | The Pre-Big Bang Scenario in String Cosmology | 250 pages, latex, 34 figures included using epsfig | Phys.Rept.373:1-212,2003 | 10.1016/S0370-1573(02)00389-7 | CERN-TH/2002-104 | hep-th astro-ph gr-qc hep-ph | null | We review physical motivations, phenomenological consequences, and open
problems of the so-called pre-big bang scenario in superstring cosmology.
| [
{
"created": "Fri, 12 Jul 2002 21:37:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gasperini",
"M.",
""
],
[
"Veneziano",
"G.",
""
]
] | We review physical motivations, phenomenological consequences, and open problems of the so-called pre-big bang scenario in superstring cosmology. |
hep-th/9805107 | Toshio Nakatsu | T.Nakatsu | On N=2 MQCD | 32 pages. 4 figires. Lecture in the Second Winter School on ``Branes,
Fields And Mathematical Physics" at the APCTP (Feb.9-20, 1998) | null | null | OU-HET 295 | hep-th | null | We review M-theory description of 4d N=2 SQCD. Configurations of M-theory
fivebranes relevant to describe the moduli spaces of the Coulomb and Higgs
branches are studied using the Taub-NUT geometry. Minimal area membranes
related with the BPS states of N=2 SQCD are given explicitly. They almost
saturate the BPS bounds. The deviation from the bounds is due to their boundary
condition constrained by the fivebrane. The electric-magnetic duality at the
baryonic branch root is also examined from the M-theory viewpoint. In this
course, novel concepts such as creation of brane and exchange of branes in Type
II theory are explained in the framework of M-theory.
| [
{
"created": "Mon, 18 May 1998 06:45:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nakatsu",
"T.",
""
]
] | We review M-theory description of 4d N=2 SQCD. Configurations of M-theory fivebranes relevant to describe the moduli spaces of the Coulomb and Higgs branches are studied using the Taub-NUT geometry. Minimal area membranes related with the BPS states of N=2 SQCD are given explicitly. They almost saturate the BPS bounds. The deviation from the bounds is due to their boundary condition constrained by the fivebrane. The electric-magnetic duality at the baryonic branch root is also examined from the M-theory viewpoint. In this course, novel concepts such as creation of brane and exchange of branes in Type II theory are explained in the framework of M-theory. |
1111.6603 | Peng Gao | Thomas Creutzig, Peng Gao, Andrew R. Linshaw | Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins | 25 pages | null | 10.1007/JHEP04(2012)031 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fermionic coset is a limit of the pure spinor formulation of the AdS5xS5
sigma model as well as a limit of a nonlinear topological A-model, introduced
by Berkovits. We study the latter, especially its symmetries, and map them to
higher spin algebras.
We show the following. The linear A-model possesses affine
$\AKMSA{pgl}{4}{4}_0$ symmetry at critical level and its $\AKMSA{psl}{4}{4}_0$
current-current perturbation is the nonlinear model. We find that the
perturbation preserves $\mathcal{W}^{(2)}_4$-algebra symmetry at critical
level. There is a topological algebra associated to $\AKMSA{pgl}{4}{4}_0$ with
the properties that the perturbation is BRST-exact. Further, the
BRST-cohomology contains world-sheet supersymmetric symplectic fermions and the
non-trivial generators of the $\mathcal{W}^{(2)}_4$-algebra. The Zhu functor
maps the linear model to a higher spin theory. We analyze its
$\SLSA{psl}{4}{4}$ action and find finite dimensional short multiplets.
| [
{
"created": "Mon, 28 Nov 2011 21:01:13 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Creutzig",
"Thomas",
""
],
[
"Gao",
"Peng",
""
],
[
"Linshaw",
"Andrew R.",
""
]
] | The fermionic coset is a limit of the pure spinor formulation of the AdS5xS5 sigma model as well as a limit of a nonlinear topological A-model, introduced by Berkovits. We study the latter, especially its symmetries, and map them to higher spin algebras. We show the following. The linear A-model possesses affine $\AKMSA{pgl}{4}{4}_0$ symmetry at critical level and its $\AKMSA{psl}{4}{4}_0$ current-current perturbation is the nonlinear model. We find that the perturbation preserves $\mathcal{W}^{(2)}_4$-algebra symmetry at critical level. There is a topological algebra associated to $\AKMSA{pgl}{4}{4}_0$ with the properties that the perturbation is BRST-exact. Further, the BRST-cohomology contains world-sheet supersymmetric symplectic fermions and the non-trivial generators of the $\mathcal{W}^{(2)}_4$-algebra. The Zhu functor maps the linear model to a higher spin theory. We analyze its $\SLSA{psl}{4}{4}$ action and find finite dimensional short multiplets. |
hep-th/9304082 | Costas Efthimiou | C. J. Efthimiou | A Comment on the Propagator of the Radial Oscillator | CLNS-93/1206, REVTEX | Phys. Rev. A 48, 4758 (1993) | 10.1103/PhysRevA.48.4758 | null | hep-th | null | Using a hybrid approach, based on the recursion relations for shape invariant
potentials developed by Das and Huang and a time-dependent tranformation of
variables, we derive the propagator for a radial oscillator. Although this is
not a new result, we explicitly show that time-dependent tranformations are
very beneficial even within the context of time-independent Hamiltonians in
quantum mechanics.
| [
{
"created": "Mon, 19 Apr 1993 23:54:09 GMT",
"version": "v1"
}
] | 2013-11-13 | [
[
"Efthimiou",
"C. J.",
""
]
] | Using a hybrid approach, based on the recursion relations for shape invariant potentials developed by Das and Huang and a time-dependent tranformation of variables, we derive the propagator for a radial oscillator. Although this is not a new result, we explicitly show that time-dependent tranformations are very beneficial even within the context of time-independent Hamiltonians in quantum mechanics. |
1211.5963 | Hiroshi Takeuchi | Hiroshi Takeuchi | Spinning exact solutions with Sasakian structure in Gauss-Bonnet Maxwell
gravity | 16 pages, no figures | null | 10.1093/ptep/ptt005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain new exact solutions in Einstein Gauss-Bonnet gravity of every odd
dimension higher than three. These new spacetimes are stationary but
non-static, coupled with the Maxwell field, and asymptotic AdS at least
locally. In order to investigate such new solutions, we adopt the
characteristic ansatz for the metric form. It is presented that the local
expression of our metric possesses some interesting properties, in which the
most peculiar one is what is called Sasakian structure. Somewhat intricate
relationship is unveiled between our solution and the already-known rotating
solution which has been only one so far in that purely gravitational theory. We
confirm the validity of the rotating spacetime with the evaluation of the
finite angular momentum.
| [
{
"created": "Mon, 26 Nov 2012 14:16:06 GMT",
"version": "v1"
}
] | 2016-06-21 | [
[
"Takeuchi",
"Hiroshi",
""
]
] | We obtain new exact solutions in Einstein Gauss-Bonnet gravity of every odd dimension higher than three. These new spacetimes are stationary but non-static, coupled with the Maxwell field, and asymptotic AdS at least locally. In order to investigate such new solutions, we adopt the characteristic ansatz for the metric form. It is presented that the local expression of our metric possesses some interesting properties, in which the most peculiar one is what is called Sasakian structure. Somewhat intricate relationship is unveiled between our solution and the already-known rotating solution which has been only one so far in that purely gravitational theory. We confirm the validity of the rotating spacetime with the evaluation of the finite angular momentum. |
1107.0952 | Daniel Kabat | Daniel Kabat and Dimitra Karabali | Thermal diffractive corrections to Casimir energies | 31 pages, 7 figures, LaTeX. v2: minor typos fixed, version to appear
in PRD | null | 10.1103/PhysRevD.84.065029 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interplay of thermal and diffractive effects in Casimir
energies. We consider plates with edges, oriented either parallel or
perpendicular to each other, as well as a single plate with a slit. We compute
the Casimir energy at finite temperature using a formalism in which the
diffractive effects are encoded in a lower dimensional non-local field theory
that lives in the gap between the plates. The formalism allows for a clean
separation between direct or geometric effects and diffractive effects, and
makes an analytic derivation of the temperature dependence of the free energy
possible. At low temperatures, with Dirichlet boundary conditions on the
plates, we find that diffractive effects make a correction to the free energy
which scales as T^6 for perpendicular plates, as T^4 for slits, and as T^4 log
T for parallel plates.
| [
{
"created": "Tue, 5 Jul 2011 19:16:57 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2011 16:03:52 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Kabat",
"Daniel",
""
],
[
"Karabali",
"Dimitra",
""
]
] | We study the interplay of thermal and diffractive effects in Casimir energies. We consider plates with edges, oriented either parallel or perpendicular to each other, as well as a single plate with a slit. We compute the Casimir energy at finite temperature using a formalism in which the diffractive effects are encoded in a lower dimensional non-local field theory that lives in the gap between the plates. The formalism allows for a clean separation between direct or geometric effects and diffractive effects, and makes an analytic derivation of the temperature dependence of the free energy possible. At low temperatures, with Dirichlet boundary conditions on the plates, we find that diffractive effects make a correction to the free energy which scales as T^6 for perpendicular plates, as T^4 for slits, and as T^4 log T for parallel plates. |
hep-th/0605129 | Takeshi Oota | Takeshi Oota and Yukinori Yasui | Explicit Toric Metric on Resolved Calabi-Yau Cone | 8 pages, 2 figures; v2: references added | Phys.Lett.B639:54-56,2006 | 10.1016/j.physletb.2006.06.021 | OCU-PHYS 247 | hep-th | null | We present an explicit non-singular complete toric Calabi-Yau metric using
the local solution recently found by Chen, Lu and Pope. This metric gives a new
supergravity solution representing D3-branes.
| [
{
"created": "Fri, 12 May 2006 15:51:41 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2006 10:40:30 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Oota",
"Takeshi",
""
],
[
"Yasui",
"Yukinori",
""
]
] | We present an explicit non-singular complete toric Calabi-Yau metric using the local solution recently found by Chen, Lu and Pope. This metric gives a new supergravity solution representing D3-branes. |
hep-th/0603029 | A. Tureanu | Anca Tureanu | Analyticity of the Scattering Amplitude, Causality and High-Energy
Bounds in Quantum Field Theory on Noncommutative Space-Time | 25 pages | J.Math.Phys.47:092302,2006 | 10.1063/1.2338761 | null | hep-th | null | In the framework of quantum field theory (QFT) on noncommutative (NC)
space-time with the symmetry group $O(1,1)\times SO(2)$, we prove that the
Jost-Lehmann-Dyson representation, based on the causality condition taken in
connection with this symmetry, leads to the mere impossibility of drawing any
conclusion on the analyticity of the $2\to 2$-scattering amplitude in
$\cos\Theta$, $\Theta$ being the scattering angle. Discussions on the possible
ways of obtaining high-energy bounds analogous to the Froissart-Martin bound on
the total cross-section are also presented.
| [
{
"created": "Sun, 5 Mar 2006 13:53:14 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Tureanu",
"Anca",
""
]
] | In the framework of quantum field theory (QFT) on noncommutative (NC) space-time with the symmetry group $O(1,1)\times SO(2)$, we prove that the Jost-Lehmann-Dyson representation, based on the causality condition taken in connection with this symmetry, leads to the mere impossibility of drawing any conclusion on the analyticity of the $2\to 2$-scattering amplitude in $\cos\Theta$, $\Theta$ being the scattering angle. Discussions on the possible ways of obtaining high-energy bounds analogous to the Froissart-Martin bound on the total cross-section are also presented. |
hep-th/0402121 | Anastasia Volovich | Radu Roiban, Anastasia Volovich | All Googly Amplitudes from the B-model in Twistor Space | 8 pages, harvmac | Phys.Rev.Lett. 93 (2004) 131602 | 10.1103/PhysRevLett.93.131602 | null | hep-th | null | It has recently been proposed that the D-instanton expansion of the open
topological B-model on P^{3|4} is equivalent to the perturbative expansion of
N=4 super Yang-Mills theory in four dimensions. In this note we extend the
results of hep-th/0402016 and recover the gauge theory results for all n-point
googly amplitudes by computing the integral over the moduli space of curves of
degree n-3 in P^{3|4}.
| [
{
"created": "Mon, 16 Feb 2004 19:20:15 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Roiban",
"Radu",
""
],
[
"Volovich",
"Anastasia",
""
]
] | It has recently been proposed that the D-instanton expansion of the open topological B-model on P^{3|4} is equivalent to the perturbative expansion of N=4 super Yang-Mills theory in four dimensions. In this note we extend the results of hep-th/0402016 and recover the gauge theory results for all n-point googly amplitudes by computing the integral over the moduli space of curves of degree n-3 in P^{3|4}. |
hep-th/9609226 | Arshad Momen | Arshad Momen | Edge Dynamics for BF Theories and Gravity | Revised version, 16 pages, eqs. corrected and refs. added | Phys.Lett. B394 (1997) 269-274 | 10.1016/S0370-2693(97)00010-5 | SU-4240-647 | hep-th gr-qc | null | We discuss BF theories defined on manifolds with spatial boundaries.
Variational arguments show that one needs to augment the usual action with a
boundary term for specific types of boundary conditions. We also show how to
use this procedure to find the boundary actions for theories of gravity with
first order formulations. Possible connection with the membrane approach is
also discussed.
| [
{
"created": "Sun, 29 Sep 1996 20:39:18 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 1996 19:57:02 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Nov 1996 22:12:14 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Momen",
"Arshad",
""
]
] | We discuss BF theories defined on manifolds with spatial boundaries. Variational arguments show that one needs to augment the usual action with a boundary term for specific types of boundary conditions. We also show how to use this procedure to find the boundary actions for theories of gravity with first order formulations. Possible connection with the membrane approach is also discussed. |
1605.05882 | Tomas Ortin | Oscar Lasso Andino and Tomas Ortin | The tensor hierarchy of 8-dimensional field theories | 39 pages | J. High Energ. Phys. (2016) 2016: 98 | 10.1007/JHEP10(2016)098 | IFT-UAM/CSIC-16-040 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the tensor hierarchy of generic, bosonic, 8-dimensional field
theories. We first study the form of the most general 8-dimensional bosonic
theory with Abelian gauge symmetries only and no massive deformations. This
study determines the tensors that occur in the Chern-Simons terms of the
(electric and magnetic) field strengths and the action for the electric fields,
which we determine. Having constructed the most general Abelian theory we study
the most general gaugings of its global symmetries and the possible massive
deformations using the embedding tensor formalism, constructing the complete
tensor hierarchy using the Bianchi identities. We find the explicit form of all
the field strengths of the gauged theory up to the 6-forms. Finally, we find
the equations of motion comparing the Noether identities with the identities
satisfied by the Bianchi identities themselves. We find that some equations of
motion are not simply the Bianchi identities of the dual fields, but
combinations of them.
| [
{
"created": "Thu, 19 May 2016 10:45:32 GMT",
"version": "v1"
}
] | 2019-03-12 | [
[
"Andino",
"Oscar Lasso",
""
],
[
"Ortin",
"Tomas",
""
]
] | We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study determines the tensors that occur in the Chern-Simons terms of the (electric and magnetic) field strengths and the action for the electric fields, which we determine. Having constructed the most general Abelian theory we study the most general gaugings of its global symmetries and the possible massive deformations using the embedding tensor formalism, constructing the complete tensor hierarchy using the Bianchi identities. We find the explicit form of all the field strengths of the gauged theory up to the 6-forms. Finally, we find the equations of motion comparing the Noether identities with the identities satisfied by the Bianchi identities themselves. We find that some equations of motion are not simply the Bianchi identities of the dual fields, but combinations of them. |
hep-th/9910259 | Petr Jizba | Petr Jizba | Equilibrium and Non-equilibrium Quantum Field Theory | 196 pages LaTeX, 21 figures, PhD thesis at Cambridge University | null | null | null | hep-th | null | We concern with various aspects of equilibrium and non-equilibrium quantum
field theory.
| [
{
"created": "Mon, 1 Nov 1999 00:03:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jizba",
"Petr",
""
]
] | We concern with various aspects of equilibrium and non-equilibrium quantum field theory. |
1408.2556 | Korkut Bardakci | Korkut Bardakci | Scalar Field Theories On The World Sheet: A Non-Trivial Ground State | 23 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:1304.1466 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present article completes an earlier publication, which was the
culmination of a series of papers dedicated to the study of the planar graphs
of the scalar phi^3 theory on a light cone world sheet. In the earlier work, a
field theory on a continuous world sheet that reproduces these planar graphs
was constructed, and the mean field approximation was applied to it. This led
to the formation of a soliton, and the fluctuations around the soliton were
identified with stringy excitations. We point out, however, that in this
earlier work, a complete treatment of the ground state of the model was
missing. This was due to an unnecessary decompactification of the world sheet;
by keeping it compactified, we show that, in addition to a trivial ground
state, there is also a non-trivial one. We investigate fluctuations around the
non-trivial ground state in the limit of a densely populated world sheet, and
show string formation in this limit. We also show that this limit can be
systematically studied by means of an expansion in terms of a conveniently
defined coupling constant.
| [
{
"created": "Mon, 11 Aug 2014 21:04:57 GMT",
"version": "v1"
}
] | 2014-08-13 | [
[
"Bardakci",
"Korkut",
""
]
] | The present article completes an earlier publication, which was the culmination of a series of papers dedicated to the study of the planar graphs of the scalar phi^3 theory on a light cone world sheet. In the earlier work, a field theory on a continuous world sheet that reproduces these planar graphs was constructed, and the mean field approximation was applied to it. This led to the formation of a soliton, and the fluctuations around the soliton were identified with stringy excitations. We point out, however, that in this earlier work, a complete treatment of the ground state of the model was missing. This was due to an unnecessary decompactification of the world sheet; by keeping it compactified, we show that, in addition to a trivial ground state, there is also a non-trivial one. We investigate fluctuations around the non-trivial ground state in the limit of a densely populated world sheet, and show string formation in this limit. We also show that this limit can be systematically studied by means of an expansion in terms of a conveniently defined coupling constant. |
2102.12509 | Shouvik Datta | Shouvik Datta, Sarthak Duary, Per Kraus, Pronobesh Maity, Alexander
Maloney | Adding Flavor to the Narain Ensemble | 30 pages | null | 10.1007/JHEP05(2022)090 | CERN-TH-2021-020 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the proposal that the ensemble average over free boson CFTs in two
dimensions - parameterized by Narain's moduli space - is dual to an exotic
theory of gravity in three dimensions dubbed $U(1)$ gravity. We consider
flavored partition functions, where the usual genus $g$ partition function is
weighted by Wilson lines coupled to the conserved $U(1)$ currents of these
theories. These flavored partition functions obey a heat equation which relates
deformations of the Riemann surface moduli to those of the chemical potentials
which measure these $U(1)$ charges. This allows us to derive a Siegel-Weil
formula which computes the average of these flavored partition functions. The
result takes the form of a "sum over geometries," albeit with modifications
relative to the unflavored case.
| [
{
"created": "Wed, 24 Feb 2021 19:01:47 GMT",
"version": "v1"
}
] | 2022-06-01 | [
[
"Datta",
"Shouvik",
""
],
[
"Duary",
"Sarthak",
""
],
[
"Kraus",
"Per",
""
],
[
"Maity",
"Pronobesh",
""
],
[
"Maloney",
"Alexander",
""
]
] | We revisit the proposal that the ensemble average over free boson CFTs in two dimensions - parameterized by Narain's moduli space - is dual to an exotic theory of gravity in three dimensions dubbed $U(1)$ gravity. We consider flavored partition functions, where the usual genus $g$ partition function is weighted by Wilson lines coupled to the conserved $U(1)$ currents of these theories. These flavored partition functions obey a heat equation which relates deformations of the Riemann surface moduli to those of the chemical potentials which measure these $U(1)$ charges. This allows us to derive a Siegel-Weil formula which computes the average of these flavored partition functions. The result takes the form of a "sum over geometries," albeit with modifications relative to the unflavored case. |
0904.1447 | Anton Kapustin | Anton Kapustin, Natalia Saulina | Chern-Simons-Rozansky-Witten topological field theory | 31 pages, latex, typo on page 18 corrected | null | 10.1016/j.nuclphysb.2009.07.006 | null | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct and study a new topological field theory in three dimensions. It
is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded
as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory
recently discovered by Gaiotto and Witten. The model depends on a gauge group G
and a hyper-Kahler manifold X with a tri-holomorphic action of G. In the case
when X is an affine space, we show that the model is equivalent to Chern-Simons
theory whose gauge group is a supergroup. This explains the role of Lie
superalgebras in the construction of Gaiotto and Witten. For general X, our
model appears to be new. We describe some of its properties, focusing on the
case when G is simple and X is the cotangent bundle of the flag variety of G.
In particular, we show that Wilson loops are labeled by objects of a certain
category which is a quantum deformation of the equivariant derived category of
coherent sheaves on X.
| [
{
"created": "Thu, 9 Apr 2009 00:22:40 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2009 22:55:48 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Kapustin",
"Anton",
""
],
[
"Saulina",
"Natalia",
""
]
] | We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory recently discovered by Gaiotto and Witten. The model depends on a gauge group G and a hyper-Kahler manifold X with a tri-holomorphic action of G. In the case when X is an affine space, we show that the model is equivalent to Chern-Simons theory whose gauge group is a supergroup. This explains the role of Lie superalgebras in the construction of Gaiotto and Witten. For general X, our model appears to be new. We describe some of its properties, focusing on the case when G is simple and X is the cotangent bundle of the flag variety of G. In particular, we show that Wilson loops are labeled by objects of a certain category which is a quantum deformation of the equivariant derived category of coherent sheaves on X. |
hep-th/0011175 | Fumihiko Sugino | Satsuki Oda, Fumihiko Sugino | Gaussian and Mean Field Approximations for Reduced Yang-Mills Integrals | 51 pages, 11 figures, LaTeX, Minor typos corrected (v2);Comments
added, Numerical data added to figures (v3); shorter version (41 pages, 8
figures) published in JHEP (v4) | JHEP 0103 (2001) 026 | 10.1088/1126-6708/2001/03/026 | KEK-TH-727, SACLAY-SPHT/T00/165 | hep-th | null | In this paper, we consider bosonic reduced Yang-Mills integrals by using some
approximation schemes, which are a kind of mean field approximation called
Gaussian approximation and its improved version. We calculate the free energy
and the expectation values of various operators including Polyakov loop and
Wilson loop. Our results nicely match to the exact and the numerical results
obtained before. Quite good scaling behaviors of the Polyakov loop and of the
Wilson loop can be seen under the 't Hooft like large $N$ limit for the case of
the loop length smaller. Then, simple analytic expressions for the loops are
obtained. Furthermore, we compute the Polyakov loop and the Wilson loop for the
case of the loop length sufficiently large, where with respect to the Polyakov
loop there seems to be no known results in appropriate literatures even in
numerical calculations. The result of the Wilson loop exhibits a strong
resemblance to the result simulated for a few smaller values of $N$ in the
supersymmetric case.
| [
{
"created": "Mon, 20 Nov 2000 13:16:00 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2000 17:42:40 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Feb 2001 13:47:59 GMT",
"version": "v3"
},
{
"created": "Tue, 29 May 2001 08:29:33 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Oda",
"Satsuki",
""
],
[
"Sugino",
"Fumihiko",
""
]
] | In this paper, we consider bosonic reduced Yang-Mills integrals by using some approximation schemes, which are a kind of mean field approximation called Gaussian approximation and its improved version. We calculate the free energy and the expectation values of various operators including Polyakov loop and Wilson loop. Our results nicely match to the exact and the numerical results obtained before. Quite good scaling behaviors of the Polyakov loop and of the Wilson loop can be seen under the 't Hooft like large $N$ limit for the case of the loop length smaller. Then, simple analytic expressions for the loops are obtained. Furthermore, we compute the Polyakov loop and the Wilson loop for the case of the loop length sufficiently large, where with respect to the Polyakov loop there seems to be no known results in appropriate literatures even in numerical calculations. The result of the Wilson loop exhibits a strong resemblance to the result simulated for a few smaller values of $N$ in the supersymmetric case. |
hep-th/9505027 | null | Aberto S. Cattaneo, Paolo Cotta-Ramusino, Juerg Froehlich and Maurizio
Martellini | Topological BF Theories in 3 and 4 Dimensions | 25 pages, latex, no figures. Transmission problems have been solved | J.Math.Phys.36:6137-6160,1995 | 10.1063/1.531238 | IFUM 503/FT | hep-th math.QA q-alg | null | In this paper we discuss topological BF theories in 3 and 4 dimensions.
Observables are associated to ordinary knots and links (in 3 dimensions) and to
2-knots (in 4 dimensions). The vacuum expectation values of such observables
give a wide range of invariants. Here we consider mainly the 3-dimensional
case, where these invariants include Alexander polynomials, HOMFLY polynomials
and Kontsevich integrals.
| [
{
"created": "Thu, 4 May 1995 20:10:29 GMT",
"version": "v1"
},
{
"created": "Fri, 5 May 1995 10:38:10 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Cattaneo",
"Aberto S.",
""
],
[
"Cotta-Ramusino",
"Paolo",
""
],
[
"Froehlich",
"Juerg",
""
],
[
"Martellini",
"Maurizio",
""
]
] | In this paper we discuss topological BF theories in 3 and 4 dimensions. Observables are associated to ordinary knots and links (in 3 dimensions) and to 2-knots (in 4 dimensions). The vacuum expectation values of such observables give a wide range of invariants. Here we consider mainly the 3-dimensional case, where these invariants include Alexander polynomials, HOMFLY polynomials and Kontsevich integrals. |
1207.2562 | Ivan K. Kostov | Ivan Kostov and Yutaka Matsuo | Inner products of Bethe states as partial domain wall partition
functions | 14 pages, 6 figures, typos corrected and a reference added | null | 10.1007/JHEP10(2012)168 | IPhT/t12/049; UT12-16 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the inner product of Bethe states in the inhomogeneous periodic XXX
spin-1/2 chain of length L, which is given by the Slavnov determinant formula.
We show that the inner product of an on-shell M-magnon state with a generic
M-magnon state is given by the same expression as the inner product of a
2M-magnon state with a vacuum descendent. The second inner product is
proportional to the partition function of the six-vertex model on a rectangular
Lx2M grid, with partial domain-wall boundary conditions.
| [
{
"created": "Wed, 11 Jul 2012 08:39:52 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2012 10:57:00 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Oct 2012 15:39:54 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Kostov",
"Ivan",
""
],
[
"Matsuo",
"Yutaka",
""
]
] | We study the inner product of Bethe states in the inhomogeneous periodic XXX spin-1/2 chain of length L, which is given by the Slavnov determinant formula. We show that the inner product of an on-shell M-magnon state with a generic M-magnon state is given by the same expression as the inner product of a 2M-magnon state with a vacuum descendent. The second inner product is proportional to the partition function of the six-vertex model on a rectangular Lx2M grid, with partial domain-wall boundary conditions. |
hep-th/0511109 | Benjamin Zwiebel | Benjamin I. Zwiebel | N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry
Algebra of the su(1,1|2) Sector | 28 pages, v2: additional checks against direct field theory
calculations, references added, minor corrections, v3: additional minor
corrections | JHEP0602:055,2006 | 10.1088/1126-6708/2006/02/055 | PUTP-2182 | hep-th | null | We begin a study of higher-loop corrections to the dilatation generator of
N=4 SYM in non-compact sectors. In these sectors, the dilatation generator
contains infinitely many interactions, and therefore one expects very
complicated higher-loop corrections. Remarkably, we find a short and simple
expression for the two-loop dilatation generator. Our solution for the
non-compact su(1,1|2) sector consists of nested commutators of four O(g)
generators and one simple auxiliary generator. Moreover, the solution does not
require the planar limit; we conjecture that it is valid for any gauge group.
To obtain the two-loop dilatation generator, we find the complete O(g^3)
symmetry algebra for this sector, which is also given by concise expressions.
We check our solution using published results of direct field theory
calculations. By applying the expression for the two-loop dilatation generator
to compute selected anomalous dimensions and the bosonic sl(2) sector internal
S-matrix, we confirm recent conjectures of the higher-loop Bethe ansatz of
hep-th/0412188.
| [
{
"created": "Wed, 9 Nov 2005 16:45:42 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2005 18:02:11 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Mar 2006 20:19:47 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Zwiebel",
"Benjamin I.",
""
]
] | We begin a study of higher-loop corrections to the dilatation generator of N=4 SYM in non-compact sectors. In these sectors, the dilatation generator contains infinitely many interactions, and therefore one expects very complicated higher-loop corrections. Remarkably, we find a short and simple expression for the two-loop dilatation generator. Our solution for the non-compact su(1,1|2) sector consists of nested commutators of four O(g) generators and one simple auxiliary generator. Moreover, the solution does not require the planar limit; we conjecture that it is valid for any gauge group. To obtain the two-loop dilatation generator, we find the complete O(g^3) symmetry algebra for this sector, which is also given by concise expressions. We check our solution using published results of direct field theory calculations. By applying the expression for the two-loop dilatation generator to compute selected anomalous dimensions and the bosonic sl(2) sector internal S-matrix, we confirm recent conjectures of the higher-loop Bethe ansatz of hep-th/0412188. |
hep-th/0603245 | Davide Forcella | Andrea Brini, Davide Forcella | Comments on the non-conformal gauge theories dual to Ypq manifolds | 48 pages, 27 figures; updated references | JHEP0606:050,2006 | 10.1088/1126-6708/2006/06/050 | SISSA-21-2006-EP | hep-th | null | We study the infrared behavior of the entire class of Y(p,q) quiver gauge
theories. The dimer technology is exploited to discuss the duality cascades and
support the general belief about a runaway behavior for the whole family. We
argue that a baryonic classically flat direction is pushed to infinity by the
appearance of ADS-like terms in the effective superpotential. We also study in
some examples the IR regime for the L(a,b,c) class showing that the same
situation might be reproduced in this more general case as well.
| [
{
"created": "Thu, 30 Mar 2006 18:10:21 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2006 14:33:44 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Brini",
"Andrea",
""
],
[
"Forcella",
"Davide",
""
]
] | We study the infrared behavior of the entire class of Y(p,q) quiver gauge theories. The dimer technology is exploited to discuss the duality cascades and support the general belief about a runaway behavior for the whole family. We argue that a baryonic classically flat direction is pushed to infinity by the appearance of ADS-like terms in the effective superpotential. We also study in some examples the IR regime for the L(a,b,c) class showing that the same situation might be reproduced in this more general case as well. |
hep-th/9512002 | null | L.V. Belvedere, R.L.P.G. Amaral and N. A. Lemos | Canonical Transformations in a Higher-Derivative Field Theory | 12 pages, LaTex | Z.Phys. C66 (1995) 613 | 10.1007/BF01579636 | null | hep-th | null | It has been suggested that the chiral symmetry can be implemented only in
classical Lagrangians containing higher covariant derivatives of odd order.
Contrary to this belief, it is shown that one can construct an exactly soluble
two-dimensional higher-derivative fermionic quantum field theory containing
only derivatives of even order whose classical Lagrangian exhibits chiral-gauge
invariance. The original field solution is expressed in terms of usual Dirac
spinors through a canonical transformation, whose generating function allows
the determination of the new Hamiltonian. It is emphasized that the original
and transformed Hamiltonians are different because the mapping from the old to
the new canonical variables depends explicitly on time. The violation of
cluster decomposition is discussed and the general Wightman functions
satisfying the positive-definiteness condition are obtained.
| [
{
"created": "Fri, 1 Dec 1995 16:10:06 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Belvedere",
"L. V.",
""
],
[
"Amaral",
"R. L. P. G.",
""
],
[
"Lemos",
"N. A.",
""
]
] | It has been suggested that the chiral symmetry can be implemented only in classical Lagrangians containing higher covariant derivatives of odd order. Contrary to this belief, it is shown that one can construct an exactly soluble two-dimensional higher-derivative fermionic quantum field theory containing only derivatives of even order whose classical Lagrangian exhibits chiral-gauge invariance. The original field solution is expressed in terms of usual Dirac spinors through a canonical transformation, whose generating function allows the determination of the new Hamiltonian. It is emphasized that the original and transformed Hamiltonians are different because the mapping from the old to the new canonical variables depends explicitly on time. The violation of cluster decomposition is discussed and the general Wightman functions satisfying the positive-definiteness condition are obtained. |
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