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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1803.03817 | Hiroshi Isono | Ignatios Antoniadis, Auttakit Chatrabhuti, Hiroshi Isono, Rob Knoops | Fayet-Iliopoulos terms in supergravity and D-term inflation | 19 pages, 7 figures | null | 10.1140/epjc/s10052-018-5861-6 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the consequences of a new gauge invariant Fayet-Iliopoulos (FI)
term proposed recently to a class of inflation models driven by supersymmetry
breaking with the inflaton being the superpartner of the goldstino. We first
show that charged matter fields can be consistently added with the new term, as
well as the standard FI term in supergravity in a K\"ahler frame where the
$U(1)$ is not an R-symmetry. We then show that the slow-roll conditions can be
easily satisfied with inflation driven by a D-term depending on the two FI
parameters. Inflation starts at initial conditions around the maximum of the
potential where the $U(1)$ symmetry is restored and stops when the inflaton
rolls down to the minimum describing the present phase of our Universe. The
resulting tensor-to-scalar ratio of primordial perturbations can be even at
observable values in the presence of higher order terms in the K\"ahler
potential.
| [
{
"created": "Sat, 10 Mar 2018 14:29:24 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2018 11:21:04 GMT",
"version": "v2"
}
] | 2018-06-19 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Chatrabhuti",
"Auttakit",
""
],
[
"Isono",
"Hiroshi",
""
],
[
"Knoops",
"Rob",
""
]
] | We analyse the consequences of a new gauge invariant Fayet-Iliopoulos (FI) term proposed recently to a class of inflation models driven by supersymmetry breaking with the inflaton being the superpartner of the goldstino. We first show that charged matter fields can be consistently added with the new term, as well as the standard FI term in supergravity in a K\"ahler frame where the $U(1)$ is not an R-symmetry. We then show that the slow-roll conditions can be easily satisfied with inflation driven by a D-term depending on the two FI parameters. Inflation starts at initial conditions around the maximum of the potential where the $U(1)$ symmetry is restored and stops when the inflaton rolls down to the minimum describing the present phase of our Universe. The resulting tensor-to-scalar ratio of primordial perturbations can be even at observable values in the presence of higher order terms in the K\"ahler potential. |
2309.05710 | Shruti Paranjape | Shruti Paranjape, Jaroslav Trnka | Gravity Amplitudes From Double Bonus Relations | 7 pages, 23 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this letter we derive new expressions for tree-level graviton amplitudes
in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new
types of bonus relations. These bonus relations go beyond the famous $1/z^2$
behavior under a large BCFW shift, and use knowledge about certain zeroes of
graviton amplitudes in collinear kinematics. This extra knowledge can be used
in the context of global residue theorems by writing the amplitude in a special
form using canonical building blocks. In the NMHV case these building blocks
are dressed one-loop leading singularities, the same objects that appear in the
expansion of Yang-Mills amplitudes, where each term corresponds to an
$R$-invariant. Unlike other approaches, our formula is not an expansion in
terms of cyclic objects and does not manifest color-kinematics duality, but
rather preserves the permutational symmetry of its building blocks. We also
comment on the possible connection to Grassmannian geometry and give some
non-trivial evidence of such structure for graviton amplitudes.
| [
{
"created": "Mon, 11 Sep 2023 18:00:03 GMT",
"version": "v1"
}
] | 2023-09-13 | [
[
"Paranjape",
"Shruti",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | In this letter we derive new expressions for tree-level graviton amplitudes in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new types of bonus relations. These bonus relations go beyond the famous $1/z^2$ behavior under a large BCFW shift, and use knowledge about certain zeroes of graviton amplitudes in collinear kinematics. This extra knowledge can be used in the context of global residue theorems by writing the amplitude in a special form using canonical building blocks. In the NMHV case these building blocks are dressed one-loop leading singularities, the same objects that appear in the expansion of Yang-Mills amplitudes, where each term corresponds to an $R$-invariant. Unlike other approaches, our formula is not an expansion in terms of cyclic objects and does not manifest color-kinematics duality, but rather preserves the permutational symmetry of its building blocks. We also comment on the possible connection to Grassmannian geometry and give some non-trivial evidence of such structure for graviton amplitudes. |
2312.11268 | Ilija Ivani\v{s}evi\'c | Ljubica Davidovi\'c, Ilija Ivani\v{s}evi\'c, Branislav Sazdovi\'c | Fluxes of Courant bracket twisted at the same time by $B$ and $\theta$ | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This paper investigates the simultaneous twisting of the Courant bracket by a
2-form $B$ and a bi-vector $\theta$, exploring the generalized fluxes obtained
in Courant algebroid relations. We define the twisted Lie bracket and
demonstrate that the generalized $H$-flux can be expressed as the field
strength defined on this Lie algebroid. Similarly, we show that the $f$-flux is
a direct consequence of simultaneous twisting, which arises in the twisted Lie
bracket relations between holonomic partial derivatives. We obtain the
generalized $Q$ flux in terms of the twisted Koszul bracket, which is a
quasi-Lie algebroid bracket. The action of an exterior derivative related to
the twisted Koszul bracket on a bi-vector produces the generalized $R$-flux. We
show that the generalized $R$-flux is also the twisted Schouten-Nijenhuis
bracket, i.e. the natural graded bracket on multi-vectors defined with the
twisted Lie bracket.
| [
{
"created": "Mon, 18 Dec 2023 15:12:48 GMT",
"version": "v1"
}
] | 2023-12-19 | [
[
"Davidović",
"Ljubica",
""
],
[
"Ivanišević",
"Ilija",
""
],
[
"Sazdović",
"Branislav",
""
]
] | This paper investigates the simultaneous twisting of the Courant bracket by a 2-form $B$ and a bi-vector $\theta$, exploring the generalized fluxes obtained in Courant algebroid relations. We define the twisted Lie bracket and demonstrate that the generalized $H$-flux can be expressed as the field strength defined on this Lie algebroid. Similarly, we show that the $f$-flux is a direct consequence of simultaneous twisting, which arises in the twisted Lie bracket relations between holonomic partial derivatives. We obtain the generalized $Q$ flux in terms of the twisted Koszul bracket, which is a quasi-Lie algebroid bracket. The action of an exterior derivative related to the twisted Koszul bracket on a bi-vector produces the generalized $R$-flux. We show that the generalized $R$-flux is also the twisted Schouten-Nijenhuis bracket, i.e. the natural graded bracket on multi-vectors defined with the twisted Lie bracket. |
2209.12789 | Yuxuan Liu | Qian Chen, Yuxuan Liu, Yu Tian, Bin Wang, Cheng-Yong Zhang and Hongbao
Zhang | Critical Dynamics in Holographic First-Order Phase Transition | 16 pages, 9 figures | null | 10.1007/JHEP01(2023)056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the critical phenomena of the dynamical transition from a metastable
state to a stable state in the model of first-order phase transition via two
different triggering mechanisms. Three universal stages during the fully
nonlinear evolution are extracted. On the one side, by perturbing the scalar
source, an isolated seed nucleus is injected into an initial homogeneous state
in the supercooled region. For critical parameters of the seed nucleus, the
real-time dynamics reveal that the system will converge to a critically
unstable state. For supercritical parameters, the system exhibits a phase
separation, while for subcritical parameters falls back to homogeneous. The
shape independence of the seed nucleus is also investigated, which implies that
the critical phenomena are universal. On the other side, we propose a novel
mechanism to render the critical phenomena via a collision of two gravitational
shock waves on the dual geometries. Specifying a collision velocity, the
initial system can be also attracted to a critically unstable state. Aside from
these dynamical constructions, we also quantitatively analyze the critical
nucleus preventing the system from reaching the final phase separation. We find
the depth of the critical nucleus increases almost linearly with the
temperature, which implies that the hotter the supercooled state is, the harder
for it to trigger phase separation.
| [
{
"created": "Mon, 26 Sep 2022 15:46:39 GMT",
"version": "v1"
}
] | 2023-02-01 | [
[
"Chen",
"Qian",
""
],
[
"Liu",
"Yuxuan",
""
],
[
"Tian",
"Yu",
""
],
[
"Wang",
"Bin",
""
],
[
"Zhang",
"Cheng-Yong",
""
],
[
"Zhang",
"Hongbao",
""
]
] | We study the critical phenomena of the dynamical transition from a metastable state to a stable state in the model of first-order phase transition via two different triggering mechanisms. Three universal stages during the fully nonlinear evolution are extracted. On the one side, by perturbing the scalar source, an isolated seed nucleus is injected into an initial homogeneous state in the supercooled region. For critical parameters of the seed nucleus, the real-time dynamics reveal that the system will converge to a critically unstable state. For supercritical parameters, the system exhibits a phase separation, while for subcritical parameters falls back to homogeneous. The shape independence of the seed nucleus is also investigated, which implies that the critical phenomena are universal. On the other side, we propose a novel mechanism to render the critical phenomena via a collision of two gravitational shock waves on the dual geometries. Specifying a collision velocity, the initial system can be also attracted to a critically unstable state. Aside from these dynamical constructions, we also quantitatively analyze the critical nucleus preventing the system from reaching the final phase separation. We find the depth of the critical nucleus increases almost linearly with the temperature, which implies that the hotter the supercooled state is, the harder for it to trigger phase separation. |
2205.10276 | Gor Sarkissian | Elena Apresyan, Gor Sarkissian and Vyacheslav P. Spiridonov | A parafermionic hypergeometric function and supersymmetric 6j-symbols | 29 pages | Nuclear Physics, Section B 990C (2023) 116170 | 10.1016/j.nuclphysb.2023.116170 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study properties of a parafermionic generalization of the hyperbolic
hypergeometric function appearing as the most important part in the fusion
matrix for Liouville field theory and the Racah-Wigner symbols for the Faddeev
modular double. We show that this generalized hypergeometric function is a
limiting form of the rarefied elliptic hypergeometric function $V^{(r)}$ and
derive its transformation properties and a mixed difference-recurrence equation
satisfied by it. At the intermediate level we describe symmetries of a more
general rarefied hyperbolic hypergeometric function. An important $r=2$ case
corresponds to the supersymmetric hypergeometric function given by the integral
appearing in the fusion matrix of $N=1$ super Liouville field theory and the
Racah-Wigner symbols of the quantum algebra ${\rm U}_q({\rm osp}(1|2))$. We
indicate relations to the standard Regge symmetry and prove some previous
conjectures for the supersymmetric Racah-Wigner symbols by establishing their
different parametrizations.
| [
{
"created": "Fri, 20 May 2022 16:13:51 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Apr 2023 15:35:03 GMT",
"version": "v2"
}
] | 2023-04-10 | [
[
"Apresyan",
"Elena",
""
],
[
"Sarkissian",
"Gor",
""
],
[
"Spiridonov",
"Vyacheslav P.",
""
]
] | We study properties of a parafermionic generalization of the hyperbolic hypergeometric function appearing as the most important part in the fusion matrix for Liouville field theory and the Racah-Wigner symbols for the Faddeev modular double. We show that this generalized hypergeometric function is a limiting form of the rarefied elliptic hypergeometric function $V^{(r)}$ and derive its transformation properties and a mixed difference-recurrence equation satisfied by it. At the intermediate level we describe symmetries of a more general rarefied hyperbolic hypergeometric function. An important $r=2$ case corresponds to the supersymmetric hypergeometric function given by the integral appearing in the fusion matrix of $N=1$ super Liouville field theory and the Racah-Wigner symbols of the quantum algebra ${\rm U}_q({\rm osp}(1|2))$. We indicate relations to the standard Regge symmetry and prove some previous conjectures for the supersymmetric Racah-Wigner symbols by establishing their different parametrizations. |
hep-th/9603056 | Jens Gladikowski | J.Gladikowski | Topological Chern-Simons vortices in the $O(3) \sigma$-model | 15 pages, LaTeX, 8ps-figures included, minor changes, references are
added and updated | Z.Phys. C73 (1996) 181-188 | null | DTP 95-75 | hep-th | null | We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian
Chern--Simons term. It shows topologically stable, anyonic vortices as
classical solutions. The fields are studied in the case of rotational symmetry
and analytic approximations are found for their asymptotic behaviour. The
static Euler--Lagrange equations are solved numerically, where particular
attention is paid to the dependence of the vortex' properties on the coupling
to the gauge field. We compute the vortex mass and charge as a function of this
coupling and obtain bound states for two--vortices as well as two--vortices
with masses above the stability threshold.
| [
{
"created": "Sat, 9 Mar 1996 13:46:04 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 1996 10:52:25 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Gladikowski",
"J.",
""
]
] | We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic approximations are found for their asymptotic behaviour. The static Euler--Lagrange equations are solved numerically, where particular attention is paid to the dependence of the vortex' properties on the coupling to the gauge field. We compute the vortex mass and charge as a function of this coupling and obtain bound states for two--vortices as well as two--vortices with masses above the stability threshold. |
0802.0761 | Suresh Nampuri Mr. | Atish Dabholkar, K. Narayan and Suresh Nampuri | Degeneracy of Decadent Dyons | Some typos corrected and references added | JHEP0803:026,2008 | 10.1088/1126-6708/2008/03/026 | TIFR-TH-06-07 | hep-th | null | A quarter-BPS dyon in $\mathcal{N}=4$ super Yang-Mills theory is generically
`decadent' in that it is stable only in some regions of the moduli space and
decays on submanifolds in the moduli space. Using this fact, and from the
degeneracy of the system close to the decay, a new derivation for the
degeneracy of such dyons is given. The degeneracy obtained from these very
simple physical considerations is in precise agreement with the results
obtained from index computations in all known cases. Similar considerations
apply to dyons in $\mathcal{N}=2$ gauge theories. The relation between the
$\mathcal{N} =4 $ field theory dyons and those counted by the Igusa cusp form
in toroidally compactified heterotic string is elucidated.
| [
{
"created": "Wed, 6 Feb 2008 20:35:24 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Feb 2008 20:11:54 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Dabholkar",
"Atish",
""
],
[
"Narayan",
"K.",
""
],
[
"Nampuri",
"Suresh",
""
]
] | A quarter-BPS dyon in $\mathcal{N}=4$ super Yang-Mills theory is generically `decadent' in that it is stable only in some regions of the moduli space and decays on submanifolds in the moduli space. Using this fact, and from the degeneracy of the system close to the decay, a new derivation for the degeneracy of such dyons is given. The degeneracy obtained from these very simple physical considerations is in precise agreement with the results obtained from index computations in all known cases. Similar considerations apply to dyons in $\mathcal{N}=2$ gauge theories. The relation between the $\mathcal{N} =4 $ field theory dyons and those counted by the Igusa cusp form in toroidally compactified heterotic string is elucidated. |
hep-th/9801060 | Jan DeBoer | Jan de Boer, Kentaro Hori, Hirosi Ooguri and Yaron Oz | Branes and Dynamical Supersymmetry Breaking | LaTeX, 57 pages, nine figures. References corrected, minor changes | Nucl.Phys.B522:20-68,1998 | 10.1016/S0550-3213(98)00252-1 | null | hep-th | null | We study dynamical supersymmetry breaking in four dimensions using the
fivebrane of M theory, in particular for the Izawa-Yanagida-Intriligator-Thomas
(IYIT) model, which we realize as the worldvolume theory of a certain M-theory
fivebrane configuration. From the brane point of view, supersymmetry is broken
when a holomorphic configuration with the proper boundary conditions does not
exist. We discuss the difference between explicit and spontaneous supersymmetry
breaking and between runaway behavior and having a stable vacuum. As a
preparation for the study of the IYIT model, we examine a realization of the
orientifold four-plane in M theory. We derive known as well as new results on
the moduli spaces of N=2 and N=1 theories with symplectic gauge groups. These
results are based on a hypothesis that a certain intersection of the fivebrane
and the Z_2 fixed plane breaks supersymmetry. In the IYIT model, we show that
the brane exhibits runaway behavior when the flavor group is gauged. On the
other hand, if the flavor group is not gauged, we find that the brane does not
run away. We suggest that a stable supersymmetry-breaking vacuum is realized in
the region beyond the reach of the supergravity approximation.
| [
{
"created": "Mon, 12 Jan 1998 22:35:37 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 1998 01:08:08 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"de Boer",
"Jan",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Oz",
"Yaron",
""
]
] | We study dynamical supersymmetry breaking in four dimensions using the fivebrane of M theory, in particular for the Izawa-Yanagida-Intriligator-Thomas (IYIT) model, which we realize as the worldvolume theory of a certain M-theory fivebrane configuration. From the brane point of view, supersymmetry is broken when a holomorphic configuration with the proper boundary conditions does not exist. We discuss the difference between explicit and spontaneous supersymmetry breaking and between runaway behavior and having a stable vacuum. As a preparation for the study of the IYIT model, we examine a realization of the orientifold four-plane in M theory. We derive known as well as new results on the moduli spaces of N=2 and N=1 theories with symplectic gauge groups. These results are based on a hypothesis that a certain intersection of the fivebrane and the Z_2 fixed plane breaks supersymmetry. In the IYIT model, we show that the brane exhibits runaway behavior when the flavor group is gauged. On the other hand, if the flavor group is not gauged, we find that the brane does not run away. We suggest that a stable supersymmetry-breaking vacuum is realized in the region beyond the reach of the supergravity approximation. |
hep-th/9809070 | Marco Serone | Jan Plefka, Marco Serone and Andrew Waldron | D=11 SUGRA as the Low Energy Effective Action of Matrix Theory: Three
Form Scattering | 24 pages, LaTex, no figures, Ref. added, typos corrected | JHEP 9811 (1998) 010 | 10.1088/1126-6708/1998/11/010 | AEI-092, UvA-WINS-Wisk-98-20, NIKHEF 98-029 | hep-th | null | We employ the LSZ reduction formula for Matrix Theory introduced in our
earlier work to compute the t-pole S-matrix for three form-three form
scattering. The result agrees completely with tree level D=11 SUGRA. Taken
together with previous results on graviton-graviton scattering this shows that
Matrix Theory indeed reproduces the bosonic sector of the D=11 SUGRA action
including the Chern-Simons term. Furthermore we provide a detailed account of
our framework along with the technology to compute any Matrix Theory one-loop
t-pole scattering amplitude at vanishing p^- exchange.
| [
{
"created": "Thu, 10 Sep 1998 15:19:39 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 1998 12:21:02 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Plefka",
"Jan",
""
],
[
"Serone",
"Marco",
""
],
[
"Waldron",
"Andrew",
""
]
] | We employ the LSZ reduction formula for Matrix Theory introduced in our earlier work to compute the t-pole S-matrix for three form-three form scattering. The result agrees completely with tree level D=11 SUGRA. Taken together with previous results on graviton-graviton scattering this shows that Matrix Theory indeed reproduces the bosonic sector of the D=11 SUGRA action including the Chern-Simons term. Furthermore we provide a detailed account of our framework along with the technology to compute any Matrix Theory one-loop t-pole scattering amplitude at vanishing p^- exchange. |
hep-th/0612131 | Ferdinando Gliozzi | Pietro Giudice, Ferdinando Gliozzi, Stefano Lottini | Quantum broadening of k-strings in gauge theories | 15 pages, 5 figures | JHEP 0701:084,2007 | 10.1088/1126-6708/2007/01/084 | null | hep-th hep-lat | null | We study the thickness of the confining flux tube generated by a pair of
sources in higher representations of the gauge group. Using a simple geometric
picture we argue that the area of the cross-section of the flux tube, as
measured by a Wilson loop probe, grows logarithmically with source separation,
as a consequence of the quantum fluctuations of the underlying k-string. The
slope of the logarithm turns out to be universal, i.e. it is the same for all
the representations and all the gauge theories. We check these predictions in a
3D Z_4 lattice gauge model by comparing the broadening of the 1-string and the
2-string.
| [
{
"created": "Wed, 13 Dec 2006 16:20:26 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Giudice",
"Pietro",
""
],
[
"Gliozzi",
"Ferdinando",
""
],
[
"Lottini",
"Stefano",
""
]
] | We study the thickness of the confining flux tube generated by a pair of sources in higher representations of the gauge group. Using a simple geometric picture we argue that the area of the cross-section of the flux tube, as measured by a Wilson loop probe, grows logarithmically with source separation, as a consequence of the quantum fluctuations of the underlying k-string. The slope of the logarithm turns out to be universal, i.e. it is the same for all the representations and all the gauge theories. We check these predictions in a 3D Z_4 lattice gauge model by comparing the broadening of the 1-string and the 2-string. |
hep-th/0306186 | Kamal Lochan Panigrahi | Nobuyoshi Ohta, Kamal L. Panigrahi, Sanjay | Intersecting branes in pp-wave spacetime | 28 pages, Discussions on singularities are added, references added,
published in Nucl. Phys. B; typos fixed, minor corrections | Nucl.Phys.B674:306-328,2003; Erratum-ibid.B748:333,2006 | 10.1016/j.nuclphysb.2003.09.036 10.1016/j.nuclphysb.2006.05.013 | OU-HET 448, IP/BBSR/2003-14 | hep-th | null | We derive intersecting brane solutions in pp-wave spacetime by solving the
supergravity field equations explicitly. The general intersection rules are
presented. We also generalize the construction to the non-extremal solutions.
Both the extremal and non-extremal solutions presented here are asymptotic to
BFHP plane waves. We find that these solutions do not have regular horizons.
| [
{
"created": "Thu, 19 Jun 2003 15:28:17 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2003 04:59:35 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2003 11:19:00 GMT",
"version": "v3"
},
{
"created": "Thu, 11 May 2006 02:18:21 GMT",
"version": "v4"
}
] | 2014-11-18 | [
[
"Ohta",
"Nobuyoshi",
""
],
[
"Panigrahi",
"Kamal L.",
""
],
[
"Sanjay",
"",
""
]
] | We derive intersecting brane solutions in pp-wave spacetime by solving the supergravity field equations explicitly. The general intersection rules are presented. We also generalize the construction to the non-extremal solutions. Both the extremal and non-extremal solutions presented here are asymptotic to BFHP plane waves. We find that these solutions do not have regular horizons. |
1001.0060 | Yi-Xin Chen | Yi-Xin Chen, Yi-Jian Du, Qian Ma | Disk relations for tree amplitudes in minimal coupling theory of gauge
field and gravity | 28 pages, 4 figures | Nucl.Phys.B833:28-45,2010 | 10.1016/j.nuclphysb.2010.02.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | KLT relations on $S_2$ factorize closed string amplitudes into product of
open string tree amplitudes. The field theory limits of KLT factorization
relations hold in minimal coupling theory of gauge field and gravity. In this
paper, we consider the field theory limits of relations on $D_2$. Though the
relations on $D_2$ and KLT factorization relations hold on worldsheets with
different topologies, we find the field theory limits of $D_2$ relations also
hold in minimal coupling theory of gauge field and gravity. We use the $D_2$
relations to give three- and four-point tree amplitudes where gluons are
minimally coupled to gravitons. We also give a discussion on general tree
amplitudes for minimal coupling of gauge field and gravity. In general, any
tree amplitude with $M$ gravitons in addition to $N$ gluons can be given by
pure-gluon tree amplitudes with $N+2M$ legs.
| [
{
"created": "Thu, 31 Dec 2009 01:16:28 GMT",
"version": "v1"
}
] | 2010-04-30 | [
[
"Chen",
"Yi-Xin",
""
],
[
"Du",
"Yi-Jian",
""
],
[
"Ma",
"Qian",
""
]
] | KLT relations on $S_2$ factorize closed string amplitudes into product of open string tree amplitudes. The field theory limits of KLT factorization relations hold in minimal coupling theory of gauge field and gravity. In this paper, we consider the field theory limits of relations on $D_2$. Though the relations on $D_2$ and KLT factorization relations hold on worldsheets with different topologies, we find the field theory limits of $D_2$ relations also hold in minimal coupling theory of gauge field and gravity. We use the $D_2$ relations to give three- and four-point tree amplitudes where gluons are minimally coupled to gravitons. We also give a discussion on general tree amplitudes for minimal coupling of gauge field and gravity. In general, any tree amplitude with $M$ gravitons in addition to $N$ gluons can be given by pure-gluon tree amplitudes with $N+2M$ legs. |
hep-th/0406055 | Nathan Berkovits | Nathan Berkovits (IFT/UNESP, Sao Paulo) | Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor
Formalism for the Superstring | 45 pages harvmac tex, added minor clarifications | JHEP 0409:047,2004 | 10.1088/1126-6708/2004/09/047 | IFT-P.020/2004 | hep-th | null | A ten-dimensional super-Poincare covariant formalism for the superstring was
recently developed which involves a BRST operator constructed from superspace
matter variables and a pure spinor ghost variable. A super-Poincare covariant
prescription was defined for computing tree amplitudes and was shown to
coincide with the standard RNS prescription.
In this paper, picture-changing operators are used to define functional
integration over the pure spinor ghosts and to construct a suitable $b$ ghost.
A super-Poincare covariant prescription is then given for the computation of
N-point multiloop amplitudes. One can easily prove that massless N-point
multiloop amplitudes vanish for N<4, confirming the perturbative finiteness of
superstring theory. One can also prove the Type IIB S-duality conjecture that
$R^4$ terms in the effective action receive no perturbative contributions above
one loop.
| [
{
"created": "Sat, 5 Jun 2004 20:02:10 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 2004 15:40:34 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Sep 2004 21:28:28 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Berkovits",
"Nathan",
"",
"IFT/UNESP, Sao Paulo"
]
] | A ten-dimensional super-Poincare covariant formalism for the superstring was recently developed which involves a BRST operator constructed from superspace matter variables and a pure spinor ghost variable. A super-Poincare covariant prescription was defined for computing tree amplitudes and was shown to coincide with the standard RNS prescription. In this paper, picture-changing operators are used to define functional integration over the pure spinor ghosts and to construct a suitable $b$ ghost. A super-Poincare covariant prescription is then given for the computation of N-point multiloop amplitudes. One can easily prove that massless N-point multiloop amplitudes vanish for N<4, confirming the perturbative finiteness of superstring theory. One can also prove the Type IIB S-duality conjecture that $R^4$ terms in the effective action receive no perturbative contributions above one loop. |
0807.3981 | Oscar A. Bedoya | Oscar A. Bedoya | Yang-Mills Chern-Simons Corrections From the Pure Spinor Superstring | 25 pages, harvmac tex, 15 diagrams; references added | JHEP 0809:078,2008 | 10.1088/1126-6708/2008/09/078 | IFT-P016/2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nilpotency of the pure spinor BRST operator in a curved background implies
superspace equations of motion for the background. By computing one-loop
corrections to nilpotency for the heterotic sigma model, the Yang-Mills
Chern-Simons corrections to the background are derived.
| [
{
"created": "Fri, 25 Jul 2008 00:12:37 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2008 14:50:46 GMT",
"version": "v2"
}
] | 2011-08-03 | [
[
"Bedoya",
"Oscar A.",
""
]
] | Nilpotency of the pure spinor BRST operator in a curved background implies superspace equations of motion for the background. By computing one-loop corrections to nilpotency for the heterotic sigma model, the Yang-Mills Chern-Simons corrections to the background are derived. |
1009.1376 | Radu Roiban | D. A. Kosower, R. Roiban, C. Vergu | The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills
Theory | 58 pages, 8 figures | Phys.Rev.D83:065018,2011 | 10.1103/PhysRevD.83.065018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an integral representation for the parity-even part of the
two-loop six-point planar NMHV amplitude in terms of Feynman integrals which
have simple transformation properties under the dual conformal symmetry. We
probe the dual conformal properties of the amplitude numerically, subtracting
the known infrared divergences. We find that the subtracted amplitude is
invariant under dual conformal transformations, confirming existing conjectures
through two-loop order. We also discuss the all-loop structure of the six-point
NMHV amplitude and give a parametrization whose dual conformal invariant
building blocks have a simple physical interpretation.
| [
{
"created": "Tue, 7 Sep 2010 19:50:13 GMT",
"version": "v1"
}
] | 2011-03-22 | [
[
"Kosower",
"D. A.",
""
],
[
"Roiban",
"R.",
""
],
[
"Vergu",
"C.",
""
]
] | We present an integral representation for the parity-even part of the two-loop six-point planar NMHV amplitude in terms of Feynman integrals which have simple transformation properties under the dual conformal symmetry. We probe the dual conformal properties of the amplitude numerically, subtracting the known infrared divergences. We find that the subtracted amplitude is invariant under dual conformal transformations, confirming existing conjectures through two-loop order. We also discuss the all-loop structure of the six-point NMHV amplitude and give a parametrization whose dual conformal invariant building blocks have a simple physical interpretation. |
hep-th/0001193 | Miao Li | Miao Li | A Note On Relation Between Holographic RG Equation And Polchinski's RG
Equation | 11 pages, harvmac | Nucl.Phys. B579 (2000) 525-532 | 10.1016/S0550-3213(00)00201-7 | null | hep-th | null | We clarify the relation between the recently formulated holographic
renormalization group equation and Polchinski's exact renormalization group
equation.
| [
{
"created": "Fri, 28 Jan 2000 07:12:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Li",
"Miao",
""
]
] | We clarify the relation between the recently formulated holographic renormalization group equation and Polchinski's exact renormalization group equation. |
hep-th/9303015 | Maximilian Kreuzer | Maximilian Kreuzer | Where are the Mirror Manifolds? | (Note and reference added, eqs.15/16 corrected) 12 pages, LaTeX,
CERN-TH.6802/93 | Phys.Lett. B314 (1993) 31-40 | 10.1016/0370-2693(93)91318-H | null | hep-th | null | The recent classification of Landau--Ginzburg potentials and their abelian
symmetries focuses attention on a number of models with large positive Euler
number for which no mirror partner is known. All of these models are related to
Calabi--Yau manifolds in weighted $\IP_4$, with a characteristic structure of
the defining polynomials. A closer look at these potentials suggests a series
of non-linear transformations, which relate the models to configurations for
which a construction of the mirror is known, though only at certain points in
moduli space. A special case of these transformations generalizes the $\ZZ_2$
orbifold representation of the $D$ invariant, implying a hidden symmetry in
tensor products of minimal models.
| [
{
"created": "Wed, 3 Mar 1993 10:52:16 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 1993 14:13:38 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Kreuzer",
"Maximilian",
""
]
] | The recent classification of Landau--Ginzburg potentials and their abelian symmetries focuses attention on a number of models with large positive Euler number for which no mirror partner is known. All of these models are related to Calabi--Yau manifolds in weighted $\IP_4$, with a characteristic structure of the defining polynomials. A closer look at these potentials suggests a series of non-linear transformations, which relate the models to configurations for which a construction of the mirror is known, though only at certain points in moduli space. A special case of these transformations generalizes the $\ZZ_2$ orbifold representation of the $D$ invariant, implying a hidden symmetry in tensor products of minimal models. |
2310.12218 | Julio Alberto M\'endez-Zavaleta | Ver\'onica Errasti D\'iez, Markus Maier and Julio A. M\'endez-Zavaleta | Constraint characterization and degree of freedom counting in Lagrangian
field theory | 12 pages + Appendix and References. v2: Journal version | Phys.Rev.D 109 (2024) 2, 025010 | 10.1103/PhysRevD.109.025010 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a Lagrangian approach to counting degrees of freedom in
first-order field theories. The emphasis is on the systematic attainment of a
complete set of constraints. In particular, we provide the first comprehensive
procedure to ensure the functional independence of all constraints and discuss
in detail the possible closures of the constraint algorithm. We argue degrees
of freedom can but need not correspond to physical modes. The appendix
comprises fully worked out, physically relevant examples of varying complexity.
| [
{
"created": "Wed, 18 Oct 2023 18:00:21 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2024 19:04:35 GMT",
"version": "v2"
}
] | 2024-07-18 | [
[
"Díez",
"Verónica Errasti",
""
],
[
"Maier",
"Markus",
""
],
[
"Méndez-Zavaleta",
"Julio A.",
""
]
] | We present a Lagrangian approach to counting degrees of freedom in first-order field theories. The emphasis is on the systematic attainment of a complete set of constraints. In particular, we provide the first comprehensive procedure to ensure the functional independence of all constraints and discuss in detail the possible closures of the constraint algorithm. We argue degrees of freedom can but need not correspond to physical modes. The appendix comprises fully worked out, physically relevant examples of varying complexity. |
1304.5680 | Jiliang Jing | Zehua Tian and Jiliang Jing | Geometric phase of two-level atoms and thermal nature of de Sitter
spacetime | 14 pages, to apper in JHEP. arXiv admin note: substantial text
overlap with arXiv:1012.4055 by other authors | JHEP 04 (2013) 109 | 10.1007/JHEP04(2013)109 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of open quantum systems, we study the geometric phase
acquired by freely falling and static two-level atoms interacting with
quantized conformally coupled massless scalar fields in de Sitter-invariant
vacuum. We find that, for the freely falling atom, the geometric phase gets a
correction resulting from a thermal bath with the Gibbons-Hawking temperature,
thus it clearly reveals the intrinsic thermal nature of de Sitter spacetime
from a different physical context. For the static atom, there is a correction
to the geometric phase coming from both the intrinsic thermal nature of de
Sitter spacetime and the Unruh effect associated with the proper acceleration
of the atom. Furthermore, in a gedanken experiment, we estimate the magnitude
of the correction to the geometric phase as opposed to that in a flat
spacetime. We find that the correction for the freely falling atom is too tiny
to be measured, and that for the static atom achieves an observable magnitude
only when the atom almost locates at the horizon.
| [
{
"created": "Sun, 21 Apr 2013 00:52:30 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2013 02:42:13 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Tian",
"Zehua",
""
],
[
"Jing",
"Jiliang",
""
]
] | In the framework of open quantum systems, we study the geometric phase acquired by freely falling and static two-level atoms interacting with quantized conformally coupled massless scalar fields in de Sitter-invariant vacuum. We find that, for the freely falling atom, the geometric phase gets a correction resulting from a thermal bath with the Gibbons-Hawking temperature, thus it clearly reveals the intrinsic thermal nature of de Sitter spacetime from a different physical context. For the static atom, there is a correction to the geometric phase coming from both the intrinsic thermal nature of de Sitter spacetime and the Unruh effect associated with the proper acceleration of the atom. Furthermore, in a gedanken experiment, we estimate the magnitude of the correction to the geometric phase as opposed to that in a flat spacetime. We find that the correction for the freely falling atom is too tiny to be measured, and that for the static atom achieves an observable magnitude only when the atom almost locates at the horizon. |
hep-th/9908047 | Andrew Chamblin | A. Chamblin, M.J. Perry, and H.S. Reall (DAMTP, Cambridge) | Non-BPS D8-branes and Dynamic Domain Walls in Massive IIA Supergravities | 23 pages REVTeX, 2 .eps figures. This paper completely replaces and
extends an earlier paper (hep-th/9712112) by Chamblin and Perry | JHEP 9909:014,1999 | 10.1088/1126-6708/1999/09/014 | DAMTP-1999-101 | hep-th | null | We study the D8-branes of the Romans massive IIA supergravity theory using
the coupled supergravity and worldvolume actions. D8 branes can be regarded as
domain walls with the jump in the extrinsic curvature at the brane given by the
Israel matching conditions. We examine the restrictions that these conditions
place on extreme and non-extreme solutions and find that they rule out some of
the supersymmetric solutions given by Bergshoeff {\em et al}. We consider what
happens when the dilaton varies on the worldvolume of the brane, which implies
that the brane is no longer static. We obtain a family of D8-brane solutions
parametrized by a non-extremality term on each side of the brane and the
asymptotic values of the 10-form field. The non-extremality parameters can be
related to the velocity of the brane. We also study 8-brane solutions of a
massive IIA supergravity theory introduced by Howe, Lambert and West. This
theory also admits a 10-form formulation, but the 10-form is not a R-R sector
field and so these 8-branes are not D-branes.
| [
{
"created": "Thu, 5 Aug 1999 14:28:22 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Chamblin",
"A.",
"",
"DAMTP, Cambridge"
],
[
"Perry",
"M. J.",
"",
"DAMTP, Cambridge"
],
[
"Reall",
"H. S.",
"",
"DAMTP, Cambridge"
]
] | We study the D8-branes of the Romans massive IIA supergravity theory using the coupled supergravity and worldvolume actions. D8 branes can be regarded as domain walls with the jump in the extrinsic curvature at the brane given by the Israel matching conditions. We examine the restrictions that these conditions place on extreme and non-extreme solutions and find that they rule out some of the supersymmetric solutions given by Bergshoeff {\em et al}. We consider what happens when the dilaton varies on the worldvolume of the brane, which implies that the brane is no longer static. We obtain a family of D8-brane solutions parametrized by a non-extremality term on each side of the brane and the asymptotic values of the 10-form field. The non-extremality parameters can be related to the velocity of the brane. We also study 8-brane solutions of a massive IIA supergravity theory introduced by Howe, Lambert and West. This theory also admits a 10-form formulation, but the 10-form is not a R-R sector field and so these 8-branes are not D-branes. |
hep-th/0503102 | N. E. J. Bjerrum-Bohr | N.E.J. Bjerrum-Bohr, David C. Dunbar and Harald Ita | Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR
behaviour | 14 pages; Minor typographic errors corrected | Phys.Lett.B621:183-194,2005 | 10.1016/j.physletb.2005.05.071 | SWAT-05-426 | hep-th | null | We present compact formulas for the box coefficients of the six-point NMHV
one-loop amplitudes in N=8 supergravity. We explicitly demonstrate that the
corresponding box integral functions, with these coefficients, have the
complete IR singularities expected of the one-loop amplitude. This is strong
evidence for the conjecture that N=8 one-loop amplitudes may be expressed in
terms of scalar box integral functions. This structure, although unexpected
from a power counting viewpoint, is analogous to the structure of N=4
super-Yang-Mills amplitudes. The box-coefficients match the tree amplitude
terms arising from recursion relations.
| [
{
"created": "Fri, 11 Mar 2005 20:45:02 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Apr 2005 09:43:07 GMT",
"version": "v2"
}
] | 2011-09-29 | [
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Dunbar",
"David C.",
""
],
[
"Ita",
"Harald",
""
]
] | We present compact formulas for the box coefficients of the six-point NMHV one-loop amplitudes in N=8 supergravity. We explicitly demonstrate that the corresponding box integral functions, with these coefficients, have the complete IR singularities expected of the one-loop amplitude. This is strong evidence for the conjecture that N=8 one-loop amplitudes may be expressed in terms of scalar box integral functions. This structure, although unexpected from a power counting viewpoint, is analogous to the structure of N=4 super-Yang-Mills amplitudes. The box-coefficients match the tree amplitude terms arising from recursion relations. |
2212.14356 | Chiara Toldo | Alejandra Castro, Francesca Mariani, Chiara Toldo | Near-Extremal Limits of de Sitter Black Holes | 32 pages, 2 figures; v3: typos fixed, clarifications on branches of
2D solutions added, comments on metric backreaction in sec. 4.2 removed.
Section with outlook and conclusions added | null | 10.1007/JHEP07(2023)131 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the thermodynamic response near extremality of charged black holes
in four-dimensional Einstein-Maxwell theory with a positive cosmological
constant. The latter exhibit three different extremal limits, dubbed cold,
Nariai and ultracold configurations, with near-horizon geometries AdS$_2 \times
S^2$, dS$_2 \times S^2$, Mink$_2 \times S^2$, respectively. For each of these
three cases we analyze small deformations away from extremality, and contrast
their response. We also construct the effective two-dimensional theory,
obtained by dimensional reduction, that captures these features and we provide
a more detailed analysis of the perturbations around the near-horizon geometry
for each case. Our results for the ultracold case in particular show an
interesting interplay between the entropy variation and charge variation,
realizing a different symmetry breaking with respect to the other two
near-extremal limits.
| [
{
"created": "Thu, 29 Dec 2022 16:09:16 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2023 19:01:48 GMT",
"version": "v2"
},
{
"created": "Mon, 29 May 2023 21:52:27 GMT",
"version": "v3"
}
] | 2023-08-02 | [
[
"Castro",
"Alejandra",
""
],
[
"Mariani",
"Francesca",
""
],
[
"Toldo",
"Chiara",
""
]
] | We analyze the thermodynamic response near extremality of charged black holes in four-dimensional Einstein-Maxwell theory with a positive cosmological constant. The latter exhibit three different extremal limits, dubbed cold, Nariai and ultracold configurations, with near-horizon geometries AdS$_2 \times S^2$, dS$_2 \times S^2$, Mink$_2 \times S^2$, respectively. For each of these three cases we analyze small deformations away from extremality, and contrast their response. We also construct the effective two-dimensional theory, obtained by dimensional reduction, that captures these features and we provide a more detailed analysis of the perturbations around the near-horizon geometry for each case. Our results for the ultracold case in particular show an interesting interplay between the entropy variation and charge variation, realizing a different symmetry breaking with respect to the other two near-extremal limits. |
hep-th/9909112 | Lori D. Paniak | L.D. Paniak | Chern-Simons Gravity, Wilson Lines and Large N Dual Gauge Theories | 10 pages LaTeX. Reference added | Mod.Phys.Lett. A15 (2000) 1117-1126 | 10.1142/S0217732300001407 | PUPT-1893 | hep-th | null | A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter
group SO(4,2) is argued to be a useful model in which to understand the details
of holography and the relationship between generally covariant and dual local
quantum field theories. Defined on a manifold with boundary, conformal geometry
arises naturally as a gauge invariance preserving boundary condition. By
matching thermodynamic quantities for a particular background geometry, the
dimensionless coupling constant of the Chern-Simons theory is directly related
to the number of fields in a putative dual theory at high temperature. As a
consistency check, the semiclassical factorization of Wilson line observables
in the gravity theory is shown to induce a factorization in dual theory
observables as expected by general arguments of large N gauge theory.
| [
{
"created": "Thu, 16 Sep 1999 01:39:10 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2000 13:45:52 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Paniak",
"L. D.",
""
]
] | A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum field theories. Defined on a manifold with boundary, conformal geometry arises naturally as a gauge invariance preserving boundary condition. By matching thermodynamic quantities for a particular background geometry, the dimensionless coupling constant of the Chern-Simons theory is directly related to the number of fields in a putative dual theory at high temperature. As a consistency check, the semiclassical factorization of Wilson line observables in the gravity theory is shown to induce a factorization in dual theory observables as expected by general arguments of large N gauge theory. |
hep-th/9608143 | Elisabeth Kraus | Elisabeth Kraus and Klaus Sibold | The standard model in the on-shell scheme | 8 pages, two-column style (espcrc2.sty), using LaTeX2e. To appear in
the Proceedings of the Workshop ``QCD and QED in Higher Order'', Rheinsberg,
Germany (April 1996) | Nucl.Phys.Proc.Suppl. 51C (1996) 81-87 | 10.1016/S0920-5632(96)90010-9 | BONN-TH-96-09 | hep-th hep-ph | null | We outline the renormalization of the standard model to all orders of
perturbation theory in a way which does not make essential use of a specific
subtraction scheme but is based on the Slavnov-Taylor identity. Physical fields
and parameters are used throughout the paper. The Ward-identity for the global
gauge invariance of the vertex functions is formulated. As an application the
Callan-Symanzik equation is derived.
| [
{
"created": "Wed, 21 Aug 1996 10:50:50 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kraus",
"Elisabeth",
""
],
[
"Sibold",
"Klaus",
""
]
] | We outline the renormalization of the standard model to all orders of perturbation theory in a way which does not make essential use of a specific subtraction scheme but is based on the Slavnov-Taylor identity. Physical fields and parameters are used throughout the paper. The Ward-identity for the global gauge invariance of the vertex functions is formulated. As an application the Callan-Symanzik equation is derived. |
hep-th/0006191 | Jing Wang | Joseph Lykken, Robert C. Myers and Jing Wang | Gravity in a Box | 15 pages, 1 figure | JHEP 0009 (2000) 009 | 10.1088/1126-6708/2000/09/009 | null | hep-th | null | We consider a brane-world construction which incorporates a finite region of
flat space, ``the box,'' surrounded by a region of anti-de Sitter space. This
hybrid construction provides a framework which interpolates between the
scenario proposed by Arkani-Hamed, Dimopoulos and Dvali, and that proposed by
Randall and Sundrum. Within this composite framework, we investigate the
effects of resonant modes on four-dimensional gravity. We also show that, on a
probe brane in the anti-de Sitter region, there is enhanced production of
on-shell nonresonant modes. We compare our model to some recent attempts to
incorporate the Randall-Sundrum scenario into superstring theory.
| [
{
"created": "Fri, 23 Jun 2000 20:07:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lykken",
"Joseph",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Wang",
"Jing",
""
]
] | We consider a brane-world construction which incorporates a finite region of flat space, ``the box,'' surrounded by a region of anti-de Sitter space. This hybrid construction provides a framework which interpolates between the scenario proposed by Arkani-Hamed, Dimopoulos and Dvali, and that proposed by Randall and Sundrum. Within this composite framework, we investigate the effects of resonant modes on four-dimensional gravity. We also show that, on a probe brane in the anti-de Sitter region, there is enhanced production of on-shell nonresonant modes. We compare our model to some recent attempts to incorporate the Randall-Sundrum scenario into superstring theory. |
0904.4601 | Dieter Luest | Dieter Lust | Seeing through the String Landscape - a String Hunter's Companion in
Particle Physics and Cosmology | 94 pages, Review paper invited and accepted for publication by JHEP,
revised version contains several new references and other minor modifications | JHEP 0903 (2009) 149 | 10.1088/1126-6708/2009/03/149 | LMU-ASC 20/09, MPP-2009-44 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we will overview several aspects of the string landscape,
namely intersecting D-brane models and their statistics, possible model
independent LHC signatures of intersecting brane models, flux compactification,
moduli stabilization in type II compactifications, domain wall solutions and
brane inflation.
| [
{
"created": "Wed, 29 Apr 2009 13:22:17 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2009 10:43:26 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Lust",
"Dieter",
""
]
] | In this article we will overview several aspects of the string landscape, namely intersecting D-brane models and their statistics, possible model independent LHC signatures of intersecting brane models, flux compactification, moduli stabilization in type II compactifications, domain wall solutions and brane inflation. |
1101.0473 | Chang-Young Ee | Ee Chang-Young, Hiroaki Nakajima, Hyeonjoon Shin | Fermionic T-duality and Morita Equivalence | 19 pages, the version appeared in JHEP | JHEP 1106:002,2011 | 10.1007/JHEP06(2011)002 | KIAS-P10047 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we investigate the relationship between the so-called fermionic
T-duality and the Morita equivalence of noncommutative supertori. We first get
an action satisfying the BRST invariance under nonvanishing constant R-R and
NS-NS backgrounds in the hybrid formalism. We investigate the effect of bosonic
T-duality transformation together with fermionic T-duality transformation in
this background and look for the resultant symmetry of transformations. We find
that the duality transformations correspond to Morita equivalence of
noncommutative supertori. In particular, we obtain the symmetry group
$SO(2,2,{\cal V}_{\Z}^0)$ in two dimensions, where ${\cal V}_{\Z}^0$ denotes
Grassmann even number whose body part belongs to ${\Z}$.
| [
{
"created": "Mon, 3 Jan 2011 09:02:19 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2011 08:53:54 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Apr 2011 11:15:19 GMT",
"version": "v3"
},
{
"created": "Fri, 10 Jun 2011 13:57:00 GMT",
"version": "v4"
}
] | 2015-05-20 | [
[
"Chang-Young",
"Ee",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] | In this paper we investigate the relationship between the so-called fermionic T-duality and the Morita equivalence of noncommutative supertori. We first get an action satisfying the BRST invariance under nonvanishing constant R-R and NS-NS backgrounds in the hybrid formalism. We investigate the effect of bosonic T-duality transformation together with fermionic T-duality transformation in this background and look for the resultant symmetry of transformations. We find that the duality transformations correspond to Morita equivalence of noncommutative supertori. In particular, we obtain the symmetry group $SO(2,2,{\cal V}_{\Z}^0)$ in two dimensions, where ${\cal V}_{\Z}^0$ denotes Grassmann even number whose body part belongs to ${\Z}$. |
hep-th/0208123 | Oliver DeWolfe | Oliver DeWolfe and Steven B. Giddings | Scales and hierarchies in warped compactifications and brane worlds | 33 pages, LaTeX. v2: reference added v3: reference added, typos
corrected | Phys.Rev. D67 (2003) 066008 | 10.1103/PhysRevD.67.066008 | NSF-ITP-02-71, SU-ITP-02/27 | hep-th hep-ph | null | Warped compactifications with branes provide a new approach to the hierarchy
problem and generate a diversity of four-dimensional thresholds. We investigate
the relationships between these scales, which fall into two classes.
Geometrical scales, such as thresholds for Kaluza-Klein, excited string, and
black hole production, are generically determined soley by the spacetime
geometry. Dynamical scales, notably the scale of supersymmetry breaking and
moduli masses, depend on other details of the model. We illustrate these
relationships in a class of solutions of type IIB string theory with imaginary
self-dual fluxes. After identifying the geometrical scales and the resulting
hierarchy, we determine the gravitino and moduli masses through explicit
dimensional reduction, and estimate their value to be near the four-dimensional
Planck scale. In the process we obtain expressions for the superpotential and
Kahler potential, including the effects of warping. We identify matter living
on certain branes to be effectively sequestered from the supersymmetry breaking
fluxes: specifically, such "visible sector" fields receive no tree-level masses
from the supersymmetry breaking. However, loop corrections are expected to
generate masses, at the phenomenologically viable TeV scale.
| [
{
"created": "Sat, 17 Aug 2002 03:17:26 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2002 23:35:06 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Oct 2003 21:15:01 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"DeWolfe",
"Oliver",
""
],
[
"Giddings",
"Steven B.",
""
]
] | Warped compactifications with branes provide a new approach to the hierarchy problem and generate a diversity of four-dimensional thresholds. We investigate the relationships between these scales, which fall into two classes. Geometrical scales, such as thresholds for Kaluza-Klein, excited string, and black hole production, are generically determined soley by the spacetime geometry. Dynamical scales, notably the scale of supersymmetry breaking and moduli masses, depend on other details of the model. We illustrate these relationships in a class of solutions of type IIB string theory with imaginary self-dual fluxes. After identifying the geometrical scales and the resulting hierarchy, we determine the gravitino and moduli masses through explicit dimensional reduction, and estimate their value to be near the four-dimensional Planck scale. In the process we obtain expressions for the superpotential and Kahler potential, including the effects of warping. We identify matter living on certain branes to be effectively sequestered from the supersymmetry breaking fluxes: specifically, such "visible sector" fields receive no tree-level masses from the supersymmetry breaking. However, loop corrections are expected to generate masses, at the phenomenologically viable TeV scale. |
1206.5936 | Igal Arav | Igal Arav and Yaron Oz | The Sound of Topology in the AdS/CFT Correspondence | 65 pages, LaTeX, 21 figures, 1 table; fixed a small error in
subsection 3.5 | null | 10.1007/JHEP11(2012)014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the gauge/gravity correspondence, we study the properties of 2-point
correlation functions of finite-temperature strongly coupled gauge field
theories, defined on a curved space of general spatial topology with a dual
black hole description. We derive approximate asymptotic expressions for the
correlation functions and their poles, supported by exact numerical
calculations, and study their dependence on the dimension of spacetime and the
spatial topology. The asymptotic structure of the correlation functions depends
on the relation between the spatial curvature and the temperature, and is
noticeable when they are of the same order. In the case of a hyperbolic
topology, a specific temperature is identified for which exact analytical
solutions exist for all types of perturbations. The asymptotic structure of the
correlation functions poles is found to behave in a non-smooth manner when
approaching this temperature.
| [
{
"created": "Tue, 26 Jun 2012 09:23:26 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jul 2012 13:14:04 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Sep 2012 21:29:17 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Sep 2012 00:25:43 GMT",
"version": "v4"
}
] | 2015-06-05 | [
[
"Arav",
"Igal",
""
],
[
"Oz",
"Yaron",
""
]
] | Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole description. We derive approximate asymptotic expressions for the correlation functions and their poles, supported by exact numerical calculations, and study their dependence on the dimension of spacetime and the spatial topology. The asymptotic structure of the correlation functions depends on the relation between the spatial curvature and the temperature, and is noticeable when they are of the same order. In the case of a hyperbolic topology, a specific temperature is identified for which exact analytical solutions exist for all types of perturbations. The asymptotic structure of the correlation functions poles is found to behave in a non-smooth manner when approaching this temperature. |
hep-th/9804103 | Michael Bordag | M Bordag | Ground State Energy for Massive Fields and Renormalisation | 12 pages, 5 figures, Latex, corrected for an incorrect statement in
the massless case | null | null | null | hep-th | null | We discuss the renormalisation of the ground state energy of massive fields
obeying boundary conditions, i.e., of the Casimir effect, and emphasise the
role of the mass for its understanding. This is an extended abstract of a talk
given at the topical group meeting on Casimir Forces at the Harvard-Smithsonian
Center for Astrophysics on March 15-29, 1998.
| [
{
"created": "Wed, 15 Apr 1998 13:45:57 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 1998 09:59:11 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bordag",
"M",
""
]
] | We discuss the renormalisation of the ground state energy of massive fields obeying boundary conditions, i.e., of the Casimir effect, and emphasise the role of the mass for its understanding. This is an extended abstract of a talk given at the topical group meeting on Casimir Forces at the Harvard-Smithsonian Center for Astrophysics on March 15-29, 1998. |
hep-th/9201036 | null | Mordechai Spiegelglas and Shimon Yankielowicz | $G/G$--Topological Field Theories by Cosetting $G_k$ | 40 pages (52/2 if use the little option of harvmac.tex) | Nucl.Phys. B393 (1993) 301-336 | 10.1016/0550-3213(93)90247-M | null | hep-th | null | $G/G$ topological field theories based on $G_k$ WZW models are constructed
and studied. These coset models are formulated as Complex BRST cohomology in
$G^c_k$, the complexified level $k$ current algebra. The finite physical
spectrum corresponds to the conformal blocks of $G_k$ .The amplitudes for $G/G$
theories are argued to be given in terms of the $G_k$ fusion rules. The
$G_k/G_k$ character is the Kac-Weyl numerator of $G_k$ and is interpreted as an
index. The Complex BRST cohomology is found to contain states of arbitrary
ghost number. Intriguing similarities of $G/G$ to $c\leq 1$ matter systems
coupled to two dimensional gravity are pointed out.
| [
{
"created": "Sun, 19 Jan 1992 17:46:33 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Spiegelglas",
"Mordechai",
""
],
[
"Yankielowicz",
"Shimon",
""
]
] | $G/G$ topological field theories based on $G_k$ WZW models are constructed and studied. These coset models are formulated as Complex BRST cohomology in $G^c_k$, the complexified level $k$ current algebra. The finite physical spectrum corresponds to the conformal blocks of $G_k$ .The amplitudes for $G/G$ theories are argued to be given in terms of the $G_k$ fusion rules. The $G_k/G_k$ character is the Kac-Weyl numerator of $G_k$ and is interpreted as an index. The Complex BRST cohomology is found to contain states of arbitrary ghost number. Intriguing similarities of $G/G$ to $c\leq 1$ matter systems coupled to two dimensional gravity are pointed out. |
hep-th/0606270 | Vid Stojevic | P.S. Howe and V. Stojevic | On the symmetries of special holonomy sigma models | 16 pages. Abstract improved and a few typographical errors corrected | JHEP0612:045,2006 | 10.1088/1126-6708/2006/12/045 | KCL-TH-06-05 | hep-th | null | In addition to superconformal symmetry, (1,1) supersymmetric two-dimensional
sigma models on special holonomy manifolds have extra symmetries that are in
one-to-one correspondence with the covariantly constant forms on these
manifolds. The superconformal algebras extended by these symmetries close as
W-algebras, i.e. they have field-dependent structure functions. It is shown
that it is not possible to write down cohomological equations for potential
quantum anomalies when the structure functions are field-dependent. In order to
do this it is necessary to linearise the algebras by treating composite
currents as generators of additional symmetries. It is shown that all cases can
be linearised in a finite number of steps, except for G_2 and SU(3). Additional
problems in the quantisation procedure are briefly discussed.
| [
{
"created": "Wed, 28 Jun 2006 17:19:54 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Sep 2006 04:51:16 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Howe",
"P. S.",
""
],
[
"Stojevic",
"V.",
""
]
] | In addition to superconformal symmetry, (1,1) supersymmetric two-dimensional sigma models on special holonomy manifolds have extra symmetries that are in one-to-one correspondence with the covariantly constant forms on these manifolds. The superconformal algebras extended by these symmetries close as W-algebras, i.e. they have field-dependent structure functions. It is shown that it is not possible to write down cohomological equations for potential quantum anomalies when the structure functions are field-dependent. In order to do this it is necessary to linearise the algebras by treating composite currents as generators of additional symmetries. It is shown that all cases can be linearised in a finite number of steps, except for G_2 and SU(3). Additional problems in the quantisation procedure are briefly discussed. |
1107.5504 | Mikhail Volkov | Ali H. Chamseddine and Mikhail S. Volkov | Cosmological solutions with massive gravitons | 5 pages | Phys.Lett. B704 (2011) 652-654 | 10.1016/j.physletb.2011.09.085 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present solutions describing spatially closed, open, or flat cosmologies
in the massive gravity theory within the recently proposed tetrad formulation.
We find that the effect of the graviton mass is equivalent to introducing to
the Einstein equations a matter source that can consist of several different
matter types -- a cosmological term, quintessence, gas of cosmic strings, and
non-relativistic cold matter.
| [
{
"created": "Wed, 27 Jul 2011 15:22:28 GMT",
"version": "v1"
}
] | 2013-10-18 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We present solutions describing spatially closed, open, or flat cosmologies in the massive gravity theory within the recently proposed tetrad formulation. We find that the effect of the graviton mass is equivalent to introducing to the Einstein equations a matter source that can consist of several different matter types -- a cosmological term, quintessence, gas of cosmic strings, and non-relativistic cold matter. |
hep-th/9310071 | Chand Devchand | Ch. Devchand and V. Ogievetsky | Integrability of N = 3 super Yang-Mills equations | 9 pages, Bonn-HE-93-32, Dubna-E2-93-361 | null | null | null | hep-th nlin.SI solv-int | null | We describe the harmonic superspace formulation of the Witten-Manin
supertwistor correspondence for N=3 extended super Yang-Mills theories. The
essence is that on being sufficiently supersymmetrised (up to the N=3
extension), the Yang-Mills equations of motion can be recast in the form of
Cauchy-Riemann-like holomorphicity conditions for a pair of prepotentials in
the appropriate harmonic superspace. This formulation makes the explicit
construction of solutions a rather more tractable proposition than previous
attempts.
| [
{
"created": "Wed, 13 Oct 1993 10:06:54 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Devchand",
"Ch.",
""
],
[
"Ogievetsky",
"V.",
""
]
] | We describe the harmonic superspace formulation of the Witten-Manin supertwistor correspondence for N=3 extended super Yang-Mills theories. The essence is that on being sufficiently supersymmetrised (up to the N=3 extension), the Yang-Mills equations of motion can be recast in the form of Cauchy-Riemann-like holomorphicity conditions for a pair of prepotentials in the appropriate harmonic superspace. This formulation makes the explicit construction of solutions a rather more tractable proposition than previous attempts. |
1605.00010 | Marcus Sperling | Amihay Hanany, Marcus Sperling | Coulomb branches for rank 2 gauge groups in 3d N=4 gauge theories | v2: 98 pages, 30 figures, 34 tables, 1 appendix, matches JHEP version | null | 10.1007/JHEP08(2016)016 | Imperial/TP/16/AH/03, ITP--UH--09/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Coulomb branch of 3-dimensional N=4 gauge theories is the space of bare
and dressed BPS monopole operators. We utilise the conformal dimension to
define a fan which, upon intersection with the weight lattice of a GNO-dual
group, gives rise to a collection of semi-groups. It turns out that the unique
Hilbert bases of these semi-groups are a sufficient, finite set of monopole
operators which generate the entire chiral ring. Moreover, the knowledge of the
properties of the minimal generators is enough to compute the Hilbert series
explicitly. The techniques of this paper allow an efficient evaluation of the
Hilbert series for general rank gauge groups. As an application, we provide
various examples for all rank two gauge groups to demonstrate the novel
interpretation.
| [
{
"created": "Fri, 29 Apr 2016 20:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2016 20:35:03 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
]
] | The Coulomb branch of 3-dimensional N=4 gauge theories is the space of bare and dressed BPS monopole operators. We utilise the conformal dimension to define a fan which, upon intersection with the weight lattice of a GNO-dual group, gives rise to a collection of semi-groups. It turns out that the unique Hilbert bases of these semi-groups are a sufficient, finite set of monopole operators which generate the entire chiral ring. Moreover, the knowledge of the properties of the minimal generators is enough to compute the Hilbert series explicitly. The techniques of this paper allow an efficient evaluation of the Hilbert series for general rank gauge groups. As an application, we provide various examples for all rank two gauge groups to demonstrate the novel interpretation. |
hep-th/0509005 | Mohammad Reza Setare | M R Setare | Entropy of Scalar Field near a Schwarzschild Black Hole Horizon | 9 pages, no figures, references added, typos corrected,clarifying
comments added | Int.J.Mod.Phys. A21 (2006) 6183-6190 | 10.1142/S0217751X06033805 | null | hep-th | null | In this paper we compute the correction to the entropy of Schwarzschild black
hole due to the vacuum polarization effect of massive scalar field. The
Schwarzschild black hole is supposed to be confined in spherical shell. The
scalar field obeying mixed boundary condition on the spherical shell.
| [
{
"created": "Thu, 1 Sep 2005 06:16:54 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Oct 2005 06:31:11 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Dec 2006 12:35:01 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Setare",
"M R",
""
]
] | In this paper we compute the correction to the entropy of Schwarzschild black hole due to the vacuum polarization effect of massive scalar field. The Schwarzschild black hole is supposed to be confined in spherical shell. The scalar field obeying mixed boundary condition on the spherical shell. |
0906.4699 | Dmitriy Uvarov | D. V. Uvarov | AdS_4 x CP^3 superstring in the light-cone gauge | LaTeX, 18 pages. v2: comments and references added, misprints
corrected; v3: corrected misprints in Eqs.(67), (85), (98); v4: missing terms
in Eqs. (43) and (68) added | Nucl.Phys.B826:294-312,2010 | 10.1016/j.nuclphysb.2009.10.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by
the double dimensional reduction of the AdS_4 x S^7 supermembrane, is
considered in the kappa-symmetry light-cone gauge, in which the light-like
directions are chosen on the D=3 Minkowski boundary of AdS_4. Such choice of
the gauge condition relies on representing the AdS_4 x S^7 background isometry
superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra
of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The
gauge-fixed action includes contributions up to the 4th power in the fermions.
| [
{
"created": "Thu, 25 Jun 2009 14:36:22 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2009 13:34:38 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jan 2010 09:16:40 GMT",
"version": "v3"
},
{
"created": "Wed, 14 Mar 2012 10:42:17 GMT",
"version": "v4"
}
] | 2012-03-15 | [
[
"Uvarov",
"D. V.",
""
]
] | The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 supermembrane, is considered in the kappa-symmetry light-cone gauge, in which the light-like directions are chosen on the D=3 Minkowski boundary of AdS_4. Such choice of the gauge condition relies on representing the AdS_4 x S^7 background isometry superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions. |
hep-th/9705237 | Joseph A. Minahan | J.A. Minahan, D. Nemeschansky and N.P. Warner | Investigating the BPS Spectrum of Non-Critical E_n Strings | 50 pages, harvmac (b) | Nucl.Phys. B508 (1997) 64-106 | 10.1016/S0550-3213(97)00527-0 | USC-97/006; NSF-ITP-97-055 | hep-th | null | We use the effective action of the $E_n$ non-critical strings to study its
BPS spectrum for $0 \le n \le 8$. We show how to introduce mass parameters, or
Wilson lines, into the effective action, and then perform the appropriate
asymptotic expansions that yield the BPS spectrum. The result is the $E_n$
character expansion of the spectrum, and is equivalent to performing the mirror
map on a Calabi-Yau with up to nine K\"ahler moduli. This enables a much more
detailed examination of the $E_n$ structure of the theory, and provides
extensive checks on the effective action description of the non-critical
string. We extract some universal ($E_n$ independent) information concerning
the degeneracies of BPS excitations.
| [
{
"created": "Thu, 29 May 1997 23:42:09 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Minahan",
"J. A.",
""
],
[
"Nemeschansky",
"D.",
""
],
[
"Warner",
"N. P.",
""
]
] | We use the effective action of the $E_n$ non-critical strings to study its BPS spectrum for $0 \le n \le 8$. We show how to introduce mass parameters, or Wilson lines, into the effective action, and then perform the appropriate asymptotic expansions that yield the BPS spectrum. The result is the $E_n$ character expansion of the spectrum, and is equivalent to performing the mirror map on a Calabi-Yau with up to nine K\"ahler moduli. This enables a much more detailed examination of the $E_n$ structure of the theory, and provides extensive checks on the effective action description of the non-critical string. We extract some universal ($E_n$ independent) information concerning the degeneracies of BPS excitations. |
hep-th/9804010 | Francisco Gonzalez-Rey | F. Gonzalez-Rey and M. Rocek | Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2
superspace | 12 pages, LaTex, includes 4 .eps figures, sign convention in path
integral definition changed, sign of nonholomorphic potential changed | Phys.Lett. B434 (1998) 303-311 | 10.1016/S0370-2693(98)00731-X | ITP-SB-98-25 | hep-th | null | The effective action of N=2 gauge multiplets in general includes
higher-dimension UV finite nonholomorphic corrections integrated with the full
N=2 superspace measure. By adding a hypermultiplet in the adjoint
representation we study the effective action of N=4 SYM. The nonanomalous SU(4)
R-symmetry of the classical N=4 theory must be also present in the on-shell
effective action, and therefore we expect to find similar nonholomorphic terms
for each of the scalars in the hypermultiplet. The N=2 path integral
quantization formalism developed in projective superspace allows us to compute
these hypermultiplet nonholomorphic terms directly in N=2 superspace. The
corresponding gauge multiplet expression can be successfully compared with the
result inferred from a N=1 calculation in the abelian subsector.
| [
{
"created": "Wed, 1 Apr 1998 21:18:51 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 1998 19:57:43 GMT",
"version": "v2"
},
{
"created": "Sun, 10 May 1998 21:01:29 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Gonzalez-Rey",
"F.",
""
],
[
"Rocek",
"M.",
""
]
] | The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the effective action of N=4 SYM. The nonanomalous SU(4) R-symmetry of the classical N=4 theory must be also present in the on-shell effective action, and therefore we expect to find similar nonholomorphic terms for each of the scalars in the hypermultiplet. The N=2 path integral quantization formalism developed in projective superspace allows us to compute these hypermultiplet nonholomorphic terms directly in N=2 superspace. The corresponding gauge multiplet expression can be successfully compared with the result inferred from a N=1 calculation in the abelian subsector. |
hep-th/0104242 | Hidenori Sonoda | Hidenori Sonoda | Off-shell renormalization of the massive QED in the unitary gauge | LaTeX2e, 7 pages, no figure, minor revision in the introductory
paragraph | Phys.Lett. B516 (2001) 208-212 | 10.1016/S0370-2693(01)00919-4 | KOBE-TH-01-02 | hep-th hep-ph | null | Despite its simplicity, the unitary gauge is not a popular choice for
practical loop calculations in gauge theories, due to the lack of off-shell
renormalizability. We study the renormalization properties of the off-shell
Green functions of the elementary electron fields in the massive QED, in order
to elucidate the origin and structure of the extra ultraviolet divergences
which exist only in the unitary gauge. We find that all these divergences
affect the Green functions in a trivial way such that in coordinate space the
off-shell Green functions are in fact multiplicatively renormalizable. This
result may generalize to the abelian and non-abelian Higgs theories, for which
the unitary gauge might bring much simplification to the loop calculations.
| [
{
"created": "Fri, 27 Apr 2001 06:56:45 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jul 2001 09:28:44 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sonoda",
"Hidenori",
""
]
] | Despite its simplicity, the unitary gauge is not a popular choice for practical loop calculations in gauge theories, due to the lack of off-shell renormalizability. We study the renormalization properties of the off-shell Green functions of the elementary electron fields in the massive QED, in order to elucidate the origin and structure of the extra ultraviolet divergences which exist only in the unitary gauge. We find that all these divergences affect the Green functions in a trivial way such that in coordinate space the off-shell Green functions are in fact multiplicatively renormalizable. This result may generalize to the abelian and non-abelian Higgs theories, for which the unitary gauge might bring much simplification to the loop calculations. |
1908.08875 | Cyril Closset | Cyril Closset and Heeyeon Kim | Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and
partition functions on Seifert manifolds: A review | 96 pages. Review for IJMPA. Comments welcome. v2: added references | International Journal of Modern Physics A, Vol. 34, No. 23 (2019)
1930011 | 10.1142/S0217751X19300114 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a pedagogical introduction to the study of supersymmetric partition
functions of 3D $\mathcal{N}{=}2$ supersymmetric Chern-Simons-matter theories
(with an $R$-symmetry) on half-BPS closed three-manifolds---including $S^3$,
$S^2 \times S^1$, and any Seifert three-manifold. Three-dimensional gauge
theories can flow to non-trivial fixed points in the infrared. In the presence
of 3D $\mathcal{N}{=}2$ supersymmetry, many exact results are known about the
strongly-coupled infrared, due in good part to powerful localization
techniques. We review some of these techniques and emphasize some more recent
developments, which provide a simple and comprehensive formalism for the exact
computation of half-BPS observables on closed three-manifolds (partition
functions and correlation functions of line operators). Along the way, we also
review simple examples of 3D infrared dualities. The computation of
supersymmetric partition functions provides exceedingly precise tests of these
dualities.
| [
{
"created": "Fri, 23 Aug 2019 15:41:27 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2019 15:50:23 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Closset",
"Cyril",
""
],
[
"Kim",
"Heeyeon",
""
]
] | We give a pedagogical introduction to the study of supersymmetric partition functions of 3D $\mathcal{N}{=}2$ supersymmetric Chern-Simons-matter theories (with an $R$-symmetry) on half-BPS closed three-manifolds---including $S^3$, $S^2 \times S^1$, and any Seifert three-manifold. Three-dimensional gauge theories can flow to non-trivial fixed points in the infrared. In the presence of 3D $\mathcal{N}{=}2$ supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities. |
hep-th/0504158 | James Lucietti | Hari K. Kunduri, James Lucietti | Notes on non-extremal, charged, rotating black holes in minimal D=5
gauged supergravity | 1+14 pages, Latex | Nucl.Phys. B724 (2005) 343-356 | 10.1016/j.nuclphysb.2005.07.017 | DAMTP-2005-43 | hep-th | null | We consider the non-extremal, charged, rotating black hole solution of five
dimensional minimal gauged supergravity of Cvetic, Lu and Pope [Phys.Lett. B
598 (2004) 273]. We compute the Ashtekar-Magnon-Das mass and show it agrees
with the thermodynamic mass. We find a reducible Killing tensor and integrate
the geodesic equation explicitly. We also compute the Euclidean action of the
black hole and show it satisfies the quantum statistical relation. Further we
present a Smarr relation. We end with a discussion of applications to string
theory.
| [
{
"created": "Tue, 19 Apr 2005 19:50:17 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Kunduri",
"Hari K.",
""
],
[
"Lucietti",
"James",
""
]
] | We consider the non-extremal, charged, rotating black hole solution of five dimensional minimal gauged supergravity of Cvetic, Lu and Pope [Phys.Lett. B 598 (2004) 273]. We compute the Ashtekar-Magnon-Das mass and show it agrees with the thermodynamic mass. We find a reducible Killing tensor and integrate the geodesic equation explicitly. We also compute the Euclidean action of the black hole and show it satisfies the quantum statistical relation. Further we present a Smarr relation. We end with a discussion of applications to string theory. |
hep-th/9904174 | Volkov | Mikhail S. Volkov and Dieter Maison | Bogomol'nyi Equations for Einstein-Yang-Mills-Dilaton theory | 13 pages, LaTeX, 2 epsf figures, uses elsart | Nucl.Phys. B559 (1999) 591-602 | 10.1016/S0550-3213(99)00465-4 | MPI-PHT-99/18, FSUJ-TPI-99/04 | hep-th gr-qc hep-ph | null | A static, spherically symmetric and purely magnetic solution of the
Einstein-Yang-Mills-Dilaton theory, found previously by numerical integration
is shown to obey a system of first order Bogomol'nyi equations. As common for
such equations, there is a tight relation to supersymmetry, in the present case
to the N=4 gauged SU(2)$\times$SU(2) supergravity of Freedman and Schwarz.
Specifically, the dilaton potential of the latter can be avoided by choosing
one of the two gauge coupling constants to be imaginary. It is argued that this
corresponds to a hitherto unknown N=4 gauged SU(2)$\times$SU(1,1) supergravity
in four Euclidean dimensions leading to Bogomol'nyi equations with
asymptotically flat solutions.
| [
{
"created": "Mon, 26 Apr 1999 17:27:17 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Volkov",
"Mikhail S.",
""
],
[
"Maison",
"Dieter",
""
]
] | A static, spherically symmetric and purely magnetic solution of the Einstein-Yang-Mills-Dilaton theory, found previously by numerical integration is shown to obey a system of first order Bogomol'nyi equations. As common for such equations, there is a tight relation to supersymmetry, in the present case to the N=4 gauged SU(2)$\times$SU(2) supergravity of Freedman and Schwarz. Specifically, the dilaton potential of the latter can be avoided by choosing one of the two gauge coupling constants to be imaginary. It is argued that this corresponds to a hitherto unknown N=4 gauged SU(2)$\times$SU(1,1) supergravity in four Euclidean dimensions leading to Bogomol'nyi equations with asymptotically flat solutions. |
2212.11002 | Sudipta Dutta | Sudipta Dutta | Stress tensors of 3d Carroll CFTs | 22 pages | null | 10.1016/j.physletb.2024.138672 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We discuss kinematical features of conformal Carroll field theories in three
dimensions (3d). Conformal extension of Carroll algebra is infinite dimensional
even in 3d unlike its relativistic counterpart, and hence 3d Carroll CFTs share
similarities with 2d CFT. We provide a construction for the conserved charges
for Carrollian CFTs and an expression for stress tensor OPEs consistent with
the algebra of charges. We discuss a free field model where these symmetries
are realised and explicitly compute the OPEs verifying our construction. In
addition we comment on the possibility of extending the conformal symmetries to
diffeomorphisms of spatial slice for these Carrollian theories.
| [
{
"created": "Wed, 21 Dec 2022 13:11:39 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 12:52:31 GMT",
"version": "v2"
}
] | 2024-05-01 | [
[
"Dutta",
"Sudipta",
""
]
] | We discuss kinematical features of conformal Carroll field theories in three dimensions (3d). Conformal extension of Carroll algebra is infinite dimensional even in 3d unlike its relativistic counterpart, and hence 3d Carroll CFTs share similarities with 2d CFT. We provide a construction for the conserved charges for Carrollian CFTs and an expression for stress tensor OPEs consistent with the algebra of charges. We discuss a free field model where these symmetries are realised and explicitly compute the OPEs verifying our construction. In addition we comment on the possibility of extending the conformal symmetries to diffeomorphisms of spatial slice for these Carrollian theories. |
hep-th/9312127 | Emil Martinec | A. Lawrence and E. Martinec | Black Hole Evaporation along Macroscopic Strings | 26pp, EFI 93-73. (Original claim that string Hawking flux exceeds
spacetime flux is WRONG. It is the same; revised version provides correct
argument and additional comments.) | Phys. Rev. D 50, 2680 (1994) | 10.1103/PhysRevD.50.2680 | null | hep-th | null | We develop the quantization of a macroscopic string which extends radially
from a Schwarzschild black hole. The Hawking process excites a thermal bath of
string modes that causes the black hole to lose mass. The resulting typical
string configuration is a random walk in the angular coordinates. We show that
the energy flux in string excitations is approximately that of spacetime field
modes.
| [
{
"created": "Tue, 14 Dec 1993 23:01:33 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jan 1994 19:49:04 GMT",
"version": "v2"
}
] | 2013-11-13 | [
[
"Lawrence",
"A.",
""
],
[
"Martinec",
"E.",
""
]
] | We develop the quantization of a macroscopic string which extends radially from a Schwarzschild black hole. The Hawking process excites a thermal bath of string modes that causes the black hole to lose mass. The resulting typical string configuration is a random walk in the angular coordinates. We show that the energy flux in string excitations is approximately that of spacetime field modes. |
1011.1857 | Kluson Josef | J. Kluson | Hamiltonian Analysis of Non-Relativistic Covariant RFDiff
Horava-Lifshitz Gravity | 15 pages, v2. Title changed, major corrections in section 3.
performed, corrected typos and references added,v3: additional typos
corrected, references added,v4.additional comments added, version published
in PRD | Phys.Rev.D83:044049,2011 | 10.1103/PhysRevD.83.044049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform the Hamiltonian analysis of non-relativistic covariant
Horava-Lifshitz gravity in the formulation presented recently in
arXiv:1009.4885. We argue that the resulting Hamiltonian structure is in
agreement with the original construction of non-relativistic covariant
Ho\v{r}ava-Lifshitz gravity presented in arXiv:1007.2410. Then we extend this
construction to the case of RFDiff invariant Ho\v{r}ava-Lifshitz theory. We
find well behaved Hamiltonian system with the number of the first and the
second class constraints that ensure the correct number of physical degrees of
freedom of gravity.
| [
{
"created": "Mon, 8 Nov 2010 17:52:13 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Nov 2010 12:01:35 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Nov 2010 16:53:28 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Mar 2011 11:45:51 GMT",
"version": "v4"
}
] | 2011-03-23 | [
[
"Kluson",
"J.",
""
]
] | We perform the Hamiltonian analysis of non-relativistic covariant Horava-Lifshitz gravity in the formulation presented recently in arXiv:1009.4885. We argue that the resulting Hamiltonian structure is in agreement with the original construction of non-relativistic covariant Ho\v{r}ava-Lifshitz gravity presented in arXiv:1007.2410. Then we extend this construction to the case of RFDiff invariant Ho\v{r}ava-Lifshitz theory. We find well behaved Hamiltonian system with the number of the first and the second class constraints that ensure the correct number of physical degrees of freedom of gravity. |
0710.3513 | Masato Arai | Masato Arai, Sami Saxell, Anca Tureanu, Nobuhiro Uekusa | Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory | 13 pages | Phys.Lett.B661:210-215,2008 | 10.1016/j.physletb.2008.02.018 | null | hep-th | null | Stringent restrictions for model building are imposed by a no-go theorem in
noncommutative gauge field theory. Circumventing this theorem is crucial for
the construction of realistic models of particle interactions. To this end, the
noncommutative construction of tensor representations of gauge groups using
half-infinite Wilson lines is extended to allow for gauge groups consisting of
an arbitrary number of $U_*(N)$ factors. This as well allows representations
other than the ones permitted by the no-go theorem.
| [
{
"created": "Thu, 18 Oct 2007 13:56:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arai",
"Masato",
""
],
[
"Saxell",
"Sami",
""
],
[
"Tureanu",
"Anca",
""
],
[
"Uekusa",
"Nobuhiro",
""
]
] | Stringent restrictions for model building are imposed by a no-go theorem in noncommutative gauge field theory. Circumventing this theorem is crucial for the construction of realistic models of particle interactions. To this end, the noncommutative construction of tensor representations of gauge groups using half-infinite Wilson lines is extended to allow for gauge groups consisting of an arbitrary number of $U_*(N)$ factors. This as well allows representations other than the ones permitted by the no-go theorem. |
1307.5844 | Michael Koehn | Michael Flohr and Michael Koehn | What the characters of irreducible subrepresentations of Jordan cells
can tell us about LCFT | Invited review article for a special issue of J. Phys. A on
logarithmic conformal field theory, v2: references added, some
clarifications, v3: references and some details added in section 3 | J. Phys. A: Math. Theor. 46 (2013) 494007 | 10.1088/1751-8113/46/49/494007 | AEI-2013-228 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we review some aspects of logarithmic conformal field
theories which can be inferred from the characters of irreducible submodules of
indecomposable modules. We will mainly consider the W(2,2p-1,2p-1,2p-1) series
of triplet algebras and a bit logarithmic extensions of the minimal Virasoro
models. Since in all known examples of logarithmic conformal field theories the
vacuum representation of the maximally extended chiral symmetry algebra is an
irreducible submodule of a larger, indecomposable module, its character
provides a lot of non-trivial information about the theory such as a set of
functions which spans the space of all torus amplitudes. Despite such
characters being modular forms of inhomogeneous weight, they fit in the
ADET-classification of fermionic sum representations. Thus, they show that
logarithmic conformal field theories naturally have to be taken into account
when attempting to classify rational conformal field theories.
| [
{
"created": "Mon, 22 Jul 2013 20:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2013 01:22:09 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jan 2014 16:44:11 GMT",
"version": "v3"
}
] | 2014-01-07 | [
[
"Flohr",
"Michael",
""
],
[
"Koehn",
"Michael",
""
]
] | In this article, we review some aspects of logarithmic conformal field theories which can be inferred from the characters of irreducible submodules of indecomposable modules. We will mainly consider the W(2,2p-1,2p-1,2p-1) series of triplet algebras and a bit logarithmic extensions of the minimal Virasoro models. Since in all known examples of logarithmic conformal field theories the vacuum representation of the maximally extended chiral symmetry algebra is an irreducible submodule of a larger, indecomposable module, its character provides a lot of non-trivial information about the theory such as a set of functions which spans the space of all torus amplitudes. Despite such characters being modular forms of inhomogeneous weight, they fit in the ADET-classification of fermionic sum representations. Thus, they show that logarithmic conformal field theories naturally have to be taken into account when attempting to classify rational conformal field theories. |
2103.04313 | P. Liebrich | P.Liebrich | Regularization of the Poisson Bracket in Field Theory | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In field theory the Poisson bracket $\{F, \mathcal{H}\}$ between an arbitrary
function $F$ and the system Hamiltonian $\mathcal{H}$ acquires odd
contributions. Here a modification is worked out to remove those terms, which
leads to a certain version of the energy-momentum tensor. The resulting Poisson
bracket is thus more easily accessible for quantization. An outlook hereupon is
given, based on a field theoretic alternative to non-commutative spacetime.
| [
{
"created": "Sun, 7 Mar 2021 10:04:12 GMT",
"version": "v1"
}
] | 2021-03-09 | [
[
"Liebrich",
"P.",
""
]
] | In field theory the Poisson bracket $\{F, \mathcal{H}\}$ between an arbitrary function $F$ and the system Hamiltonian $\mathcal{H}$ acquires odd contributions. Here a modification is worked out to remove those terms, which leads to a certain version of the energy-momentum tensor. The resulting Poisson bracket is thus more easily accessible for quantization. An outlook hereupon is given, based on a field theoretic alternative to non-commutative spacetime. |
1602.04566 | Augusto Sagnotti Prof. | S. Ferrara, A. Sagnotti, A. Yeranyan | Two-Field Born-Infeld with Diverse Dualities | 30 pages. Final version with reference added, typo corrected and
comment added in the Conclusions. To appear in a special Nucl. Phys. B issue
dedicated to the memory of Raymond Stora | null | 10.1016/j.nuclphysb.2016.06.027 | CERN-PH-TH/2016-017 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on how to build, in a systematic fashion, two-field Abelian
extensions of the Born-Infeld Lagrangian. These models realize the non-trivial
duality groups that are allowed in this case, namely U(2), SU(2) and U(1)xU(1).
For each class, we also construct an explicit example. They all involve an
overall square root and reduce to the Born-Infeld model if the two fields are
identified, but differ in quartic and higher interactions. The U(1)xU(1) and
SU(2) examples recover some recent results obtained with different techniques,
and we show that the U(1)xU(1) model admits an N=1 supersymmetric completion.
The U(2) example includes some unusual terms that are not analytic at the
origin of field space.
| [
{
"created": "Mon, 15 Feb 2016 06:22:52 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2016 21:15:39 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jul 2016 09:15:25 GMT",
"version": "v3"
}
] | 2016-12-21 | [
[
"Ferrara",
"S.",
""
],
[
"Sagnotti",
"A.",
""
],
[
"Yeranyan",
"A.",
""
]
] | We elaborate on how to build, in a systematic fashion, two-field Abelian extensions of the Born-Infeld Lagrangian. These models realize the non-trivial duality groups that are allowed in this case, namely U(2), SU(2) and U(1)xU(1). For each class, we also construct an explicit example. They all involve an overall square root and reduce to the Born-Infeld model if the two fields are identified, but differ in quartic and higher interactions. The U(1)xU(1) and SU(2) examples recover some recent results obtained with different techniques, and we show that the U(1)xU(1) model admits an N=1 supersymmetric completion. The U(2) example includes some unusual terms that are not analytic at the origin of field space. |
hep-th/9504101 | Colatto Luiz Paulo | L. P. Colatto and J. L. Matheus-Valle | On q-Deformed Supersymmetric Classical Mechanical Models | No figures, 14 pages, Latex, revised version | J.Math.Phys. 37 (1996) 6121-6129 | 10.1063/1.531767 | ICTP preprint IC/95/96 | hep-th | null | Based on the idea of quantum groups and paragrassmann variables, we presenta
generalization of supersymmetric classical mechanics with a deformation
parameter $q= \exp{\frac{2 \pi i}{k}}$ dealing with the $k =3$ case. The
coordinates of the $q$-superspace are a commuting parameter $t$ and a
paragrassmann variable $\theta$, where $% \theta^3 = 0$. The generator and
covariant derivative are obtained, as well as the action for some possible
superfields.
| [
{
"created": "Thu, 20 Apr 1995 11:49:19 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 1995 14:23:18 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 1995 14:25:22 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Colatto",
"L. P.",
""
],
[
"Matheus-Valle",
"J. L.",
""
]
] | Based on the idea of quantum groups and paragrassmann variables, we presenta generalization of supersymmetric classical mechanics with a deformation parameter $q= \exp{\frac{2 \pi i}{k}}$ dealing with the $k =3$ case. The coordinates of the $q$-superspace are a commuting parameter $t$ and a paragrassmann variable $\theta$, where $% \theta^3 = 0$. The generator and covariant derivative are obtained, as well as the action for some possible superfields. |
1408.2530 | Mikhail Alfimov Mr | Mikhail Alfimov, Nikolay Gromov, Vladimir Kazakov | QCD Pomeron from AdS/CFT Quantum Spectral Curve | 22 pages, 2 figures, minor corrections, references added | JHEP 1507 (2015) 164 | 10.1007/JHEP07(2015)164 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the methods of the recently proposed Quantum Spectral Curve (QSC)
originating from integrability of ${\cal N}=4$ Super--Yang-Mills theory we
analytically continue the scaling dimensions of twist-2 operators and reproduce
the so-called pomeron eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL)
equation. Furthermore, we recovered the Faddeev-Korchemsky Baxter equation for
Lipatov's spin chain and also found its generalization for the next-to-leading
order in the BFKL scaling. Our results provide a non-trivial test of QSC
describing the exact spectrum in planar ${\cal N}=4$ SYM at infinitely many
loops for a highly nontrivial non-BPS quantity and also opens a way for a
systematic expansion in the BFKL regime.
| [
{
"created": "Mon, 11 Aug 2014 20:02:51 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2015 22:15:26 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Mar 2015 01:04:43 GMT",
"version": "v3"
},
{
"created": "Wed, 5 Aug 2015 15:06:31 GMT",
"version": "v4"
}
] | 2015-08-06 | [
[
"Alfimov",
"Mikhail",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Kazakov",
"Vladimir",
""
]
] | Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of ${\cal N}=4$ Super--Yang-Mills theory we analytically continue the scaling dimensions of twist-2 operators and reproduce the so-called pomeron eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. Furthermore, we recovered the Faddeev-Korchemsky Baxter equation for Lipatov's spin chain and also found its generalization for the next-to-leading order in the BFKL scaling. Our results provide a non-trivial test of QSC describing the exact spectrum in planar ${\cal N}=4$ SYM at infinitely many loops for a highly nontrivial non-BPS quantity and also opens a way for a systematic expansion in the BFKL regime. |
hep-th/0604146 | Andrzej Borowiec | A. Borowiec, J. Lukierski and V.N. Tolstoy | Jordanian Twist Quantization of D=4 Lorentz and Poincare Algebras and
D=3 Contraction Limit | 13 pages, no figures | Eur.Phys.J.C48:633-639,2006 | 10.1140/epjc/s10052-006-0024-6 | null | hep-th | null | We describe in detail two-parameter nonstandard quantum deformation of D=4
Lorentz algebra $\mathfrak{o}(3,1)$, linked with Jordanian deformation of
$\mathfrak{sl} (2;\mathbb{C})$. Using twist quantization technique we obtain
the explicit formulae for the deformed coproducts and antipodes. Further
extending the considered deformation to the D=4 Poincar\'{e} algebra we obtain
a new Hopf-algebraic deformation of four-dimensional relativistic symmetries
with dimensionless deformation parameter. Finally, we interpret
$\mathfrak{o}(3,1)$ as the D=3 de-Sitter algebra and calculate the contraction
limit $R\to\infty$ ($R$ -- de-Sitter radius) providing explicit Hopf algebra
structure for the quantum deformation of the D=3 Poincar\'{e} algebra (with
masslike deformation parameters), which is the two-parameter light-cone
$\kappa$-deformation of the D=3 Poincar\'{e} symmetry.
| [
{
"created": "Thu, 20 Apr 2006 17:40:58 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Borowiec",
"A.",
""
],
[
"Lukierski",
"J.",
""
],
[
"Tolstoy",
"V. N.",
""
]
] | We describe in detail two-parameter nonstandard quantum deformation of D=4 Lorentz algebra $\mathfrak{o}(3,1)$, linked with Jordanian deformation of $\mathfrak{sl} (2;\mathbb{C})$. Using twist quantization technique we obtain the explicit formulae for the deformed coproducts and antipodes. Further extending the considered deformation to the D=4 Poincar\'{e} algebra we obtain a new Hopf-algebraic deformation of four-dimensional relativistic symmetries with dimensionless deformation parameter. Finally, we interpret $\mathfrak{o}(3,1)$ as the D=3 de-Sitter algebra and calculate the contraction limit $R\to\infty$ ($R$ -- de-Sitter radius) providing explicit Hopf algebra structure for the quantum deformation of the D=3 Poincar\'{e} algebra (with masslike deformation parameters), which is the two-parameter light-cone $\kappa$-deformation of the D=3 Poincar\'{e} symmetry. |
hep-th/9603025 | null | Hung Cheng and S.P. Li | How to renormalize a quantum gauge field theory with chiral fermions | LATEX, 9 pages | null | null | null | hep-th | null | We propose using the method of subtraction to renormalize quantum gauge
theories with chiral fermions and with spontaneous symmetry breaking. The
Ward-Takahashi identities derived from the BRST invariance in these theories
are complex and rich in content. We demonstrate how to use these identities to
determine relationships among renormalization constants of the theory and
obtain the subtraction constants needed for the renormalization procedure. We
have found it particularly convenient to adopt the Landau gauge throughout the
scheme. The method of renormalization by subtraction enables one to calculate
physical quantities in the theory in the form of a renormalized perturbation
series which is unique and definite. There is no ambiguity in handling the
$\gamma_5$ matrix associated with chiral fermions.
| [
{
"created": "Wed, 6 Mar 1996 04:55:48 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 1996 23:14:21 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Cheng",
"Hung",
""
],
[
"Li",
"S. P.",
""
]
] | We propose using the method of subtraction to renormalize quantum gauge theories with chiral fermions and with spontaneous symmetry breaking. The Ward-Takahashi identities derived from the BRST invariance in these theories are complex and rich in content. We demonstrate how to use these identities to determine relationships among renormalization constants of the theory and obtain the subtraction constants needed for the renormalization procedure. We have found it particularly convenient to adopt the Landau gauge throughout the scheme. The method of renormalization by subtraction enables one to calculate physical quantities in the theory in the form of a renormalized perturbation series which is unique and definite. There is no ambiguity in handling the $\gamma_5$ matrix associated with chiral fermions. |
hep-th/9904070 | Gabor Kunstatter | A.J.M. Medved (University of Manitoba) and G. Kunstatter (University
of Winnipeg) | Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes | 36 pages, Latex The calculation has been extended to include general
matter-dilaton coupling. Several references have been added | Phys. Rev. D 60, 104029 (1999) | 10.1103/PhysRevD.60.104029 | null | hep-th | null | We consider one-loop quantum corrections to the thermodynamics of a black
hole in generic 2-dimensional dilaton gravity. The classical action is the most
general diffeomorphism invariant action in 1+1 space-time dimensions that
contains a metric, dilaton, and Abelian gauge field, and having at most second
derivatives of the fields. Quantum corrections are introduced by considering
the effect of matter fields conformally coupled to the metric and non-minimally
coupled to the dilaton. Back reaction of the matter fields (via non-vanishing
trace conformal anomaly) leads to quantum corrections to the black hole
geometry. Quantum corrections also lead to modifications in the gravitational
action and hence in expressions for thermodynamic quantities. One-loop
corrections to both geometry and thermodynamics (energy, entropy) are
calculated for the generic dilaton theory. This formalism is applied to a
charged black hole in spherically symmetric gravity and to a rotating BTZ black
hole.
| [
{
"created": "Thu, 8 Apr 1999 22:02:50 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 1999 20:27:31 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Medved",
"A. J. M.",
"",
"University of Manitoba"
],
[
"Kunstatter",
"G.",
"",
"University\n of Winnipeg"
]
] | We consider one-loop quantum corrections to the thermodynamics of a black hole in generic 2-dimensional dilaton gravity. The classical action is the most general diffeomorphism invariant action in 1+1 space-time dimensions that contains a metric, dilaton, and Abelian gauge field, and having at most second derivatives of the fields. Quantum corrections are introduced by considering the effect of matter fields conformally coupled to the metric and non-minimally coupled to the dilaton. Back reaction of the matter fields (via non-vanishing trace conformal anomaly) leads to quantum corrections to the black hole geometry. Quantum corrections also lead to modifications in the gravitational action and hence in expressions for thermodynamic quantities. One-loop corrections to both geometry and thermodynamics (energy, entropy) are calculated for the generic dilaton theory. This formalism is applied to a charged black hole in spherically symmetric gravity and to a rotating BTZ black hole. |
2406.04247 | Julian Toro | Sergio Iguri, Nicolas Kovensky, Julian H. Toro | Spectral flow and the conformal block expansion for strings in AdS$_3$ | 50 pages, 1 figure | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a detailed study of spectrally flowed four-point functions in the
SL(2,$\mathbb{R}$) WZW model, focusing on their conformal block decomposition.
Dei and Eberhardt conjectured a general formula relating these observables to
their unflowed counterparts. Although the latter are not known in closed form,
their conformal block expansion has been formally established. By combining
this information with the integral transform that encodes the effect of
spectral flow, we show how to describe a considerable number of $s$-channel
exchanges, including cases with both flowed and unflowed intermediate states.
For all such processes, we compute the normalization of the corresponding
conformal blocks in terms of products of the recently derived flowed
three-point functions with arbitrary spectral flow charges. Our results
constitute a highly non-trivial consistency check, thus strongly supporting the
aforementioned conjecture, and establishing its computational power.
| [
{
"created": "Thu, 6 Jun 2024 16:47:46 GMT",
"version": "v1"
}
] | 2024-06-07 | [
[
"Iguri",
"Sergio",
""
],
[
"Kovensky",
"Nicolas",
""
],
[
"Toro",
"Julian H.",
""
]
] | We present a detailed study of spectrally flowed four-point functions in the SL(2,$\mathbb{R}$) WZW model, focusing on their conformal block decomposition. Dei and Eberhardt conjectured a general formula relating these observables to their unflowed counterparts. Although the latter are not known in closed form, their conformal block expansion has been formally established. By combining this information with the integral transform that encodes the effect of spectral flow, we show how to describe a considerable number of $s$-channel exchanges, including cases with both flowed and unflowed intermediate states. For all such processes, we compute the normalization of the corresponding conformal blocks in terms of products of the recently derived flowed three-point functions with arbitrary spectral flow charges. Our results constitute a highly non-trivial consistency check, thus strongly supporting the aforementioned conjecture, and establishing its computational power. |
2004.13490 | Abhijit Gadde | Abhijit Gadde | Modularity of supersymmetric partition functions | 38 pages, 7 figures | null | 10.1007/JHEP12(2021)181 | TIFR/TH/20-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discover a modular property of supersymmetric partition functions of
supersymmetric theories with R-symmetry in four dimensions. This modular
property is, in a sense, the generalization of the modular invariance of the
supersymmetric partition function of two-dimensional supersymmetric theories on
a torus i.e. of the elliptic genus. The partition functions in question are on
manifolds homeomorphic to the ones obtained by gluing solid tori. Such gluing
involves the choice of a large diffeomorphism of the boundary torus, along with
the choice of a large gauge transformation for the background flavor symmetry
connections, if present. Our modular property is a manifestation of the
consistency of the gluing procedure. The modular property is used to rederive a
supersymmetric Cardy formula for four-dimensional gauge theories that has
played a key role in computing the entropy of supersymmetric black holes. To be
concrete, we work with four-dimensional N=1 supersymmetric theories but we
expect versions of our result to apply more widely to supersymmetric theories
in other dimensions.
| [
{
"created": "Tue, 28 Apr 2020 13:25:03 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Gadde",
"Abhijit",
""
]
] | We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition function of two-dimensional supersymmetric theories on a torus i.e. of the elliptic genus. The partition functions in question are on manifolds homeomorphic to the ones obtained by gluing solid tori. Such gluing involves the choice of a large diffeomorphism of the boundary torus, along with the choice of a large gauge transformation for the background flavor symmetry connections, if present. Our modular property is a manifestation of the consistency of the gluing procedure. The modular property is used to rederive a supersymmetric Cardy formula for four-dimensional gauge theories that has played a key role in computing the entropy of supersymmetric black holes. To be concrete, we work with four-dimensional N=1 supersymmetric theories but we expect versions of our result to apply more widely to supersymmetric theories in other dimensions. |
hep-th/0410101 | Augusto Sagnotti | E. Dudas, G. Pradisi, M. Nicolosi, A. Sagnotti | On tadpoles and vacuum redefinitions in String Theory | 51 pages, LaTeX, 7 eps figures. Typos corrected, refs added. Final
version to appear in Nucl. Phys. B. Thanks to W. Mueck for very interesting
correspondence. v3 was accidentally in draft format | Nucl.Phys. B708 (2005) 3-44 | 10.1016/j.nuclphysb.2004.11.028 | CPTH RR 057.0904,LPT-ORSAY 04/82, ROM2F-04/28 | hep-th | null | Tadpoles accompany, in one form or another, all attempts to realize
supersymmetry breaking in String Theory, making the present constructions at
best incomplete. Whereas these tadpoles are typically large, a closer look at
the problem from a perturbative viewpoint has the potential of illuminating at
least some of its qualitative features in String Theory. A possible scheme to
this effect was proposed long ago by Fischler and Susskind, but incorporating
background redefinitions in string amplitudes in a systematic fashion has long
proved very difficult. In the first part of this paper, drawing from field
theory examples, we thus begin to explore what one can learn by working
perturbatively in a ``wrong'' vacuum. While unnatural in Field Theory, this
procedure presents evident advantages in String Theory, whose definition in
curved backgrounds is mostly beyond reach at the present time. At the field
theory level, we also identify and characterize some special choices of vacua
where tadpole resummations terminate after a few contributions. In the second
part we present a notable example where vacuum redefinitions can be dealt with
to some extent at the full string level, providing some evidence for a new link
between IIB and 0B orientifolds. We finally show that NS-NS tadpoles do not
manifest themselves to lowest order in certain classes of string constructions
with broken supersymmetry and parallel branes, including brane-antibrane pairs
and brane supersymmetry breaking models, that therefore have UV finite
threshold corrections at one loop.
| [
{
"created": "Sat, 9 Oct 2004 21:41:32 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2004 23:41:08 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Dec 2004 17:48:17 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Dec 2004 19:43:56 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Dudas",
"E.",
""
],
[
"Pradisi",
"G.",
""
],
[
"Nicolosi",
"M.",
""
],
[
"Sagnotti",
"A.",
""
]
] | Tadpoles accompany, in one form or another, all attempts to realize supersymmetry breaking in String Theory, making the present constructions at best incomplete. Whereas these tadpoles are typically large, a closer look at the problem from a perturbative viewpoint has the potential of illuminating at least some of its qualitative features in String Theory. A possible scheme to this effect was proposed long ago by Fischler and Susskind, but incorporating background redefinitions in string amplitudes in a systematic fashion has long proved very difficult. In the first part of this paper, drawing from field theory examples, we thus begin to explore what one can learn by working perturbatively in a ``wrong'' vacuum. While unnatural in Field Theory, this procedure presents evident advantages in String Theory, whose definition in curved backgrounds is mostly beyond reach at the present time. At the field theory level, we also identify and characterize some special choices of vacua where tadpole resummations terminate after a few contributions. In the second part we present a notable example where vacuum redefinitions can be dealt with to some extent at the full string level, providing some evidence for a new link between IIB and 0B orientifolds. We finally show that NS-NS tadpoles do not manifest themselves to lowest order in certain classes of string constructions with broken supersymmetry and parallel branes, including brane-antibrane pairs and brane supersymmetry breaking models, that therefore have UV finite threshold corrections at one loop. |
hep-th/9406144 | null | J.S.Dowker | Effective actions with fixed points, (error in derivation of coefficient
corrected) | 10p,uses JyTeX,MUTP/94/14 | Phys.Rev.D50:6369-6373,1994 | 10.1103/PhysRevD.50.6369 | null | hep-th gr-qc | null | The specific form of the constant term in the asymptotic expansion of the
heat-kernel on an axially-symmetric space with a codimension two fixed-point
set of conical singularities is used to determine the associated conformal
change of the effective action in four dimensions. Another derivation of the
relevant coefficient is presented.
| [
{
"created": "Wed, 22 Jun 1994 11:22:50 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jun 1994 07:59:20 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Dowker",
"J. S.",
""
]
] | The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the associated conformal change of the effective action in four dimensions. Another derivation of the relevant coefficient is presented. |
1502.07717 | Mir Faizal | Mir Faizal and Adel Awad | Four Dimensional Supersymmetric Theories in Presence of a Boundary | 18 pages, no figures, Accepted for publication in Phys. Lett. B | Phys. Lett. B 748: 414, 2015 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study $\mathcal{N} =1$ supersymmetric theories in four
dimensions in presence of a boundary. We demonstrate that it is possible to
preserve half the supersymmetry of the original theory by suitably modifying it
in presence of a boundary. This is done by adding new boundary terms to the
original action, such that the supersymmetric variation of the new terms
exactly cancels the boundary terms generated by the supersymmetric
transformation of the original bulk action. We also analyze the boundary
projections of such supercharges used in such a theory. We study
super-Yang-Mills theories in presence of a boundary using these results.
Finally, we study the Born-Infeld action in presence of a boundary. We analyse
the boundary effects for the Born-Infeld action coupled to a background dilaton
and an axion field. We also analyse the boundary effects for an non-abelian
Born-Infeld action. We explicitly construct the actions for these systems in
presence of a boundary. This action preserves half of the original
supersymmetry.
| [
{
"created": "Mon, 23 Feb 2015 15:44:42 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2015 15:50:41 GMT",
"version": "v2"
}
] | 2015-08-03 | [
[
"Faizal",
"Mir",
""
],
[
"Awad",
"Adel",
""
]
] | In this paper, we study $\mathcal{N} =1$ supersymmetric theories in four dimensions in presence of a boundary. We demonstrate that it is possible to preserve half the supersymmetry of the original theory by suitably modifying it in presence of a boundary. This is done by adding new boundary terms to the original action, such that the supersymmetric variation of the new terms exactly cancels the boundary terms generated by the supersymmetric transformation of the original bulk action. We also analyze the boundary projections of such supercharges used in such a theory. We study super-Yang-Mills theories in presence of a boundary using these results. Finally, we study the Born-Infeld action in presence of a boundary. We analyse the boundary effects for the Born-Infeld action coupled to a background dilaton and an axion field. We also analyse the boundary effects for an non-abelian Born-Infeld action. We explicitly construct the actions for these systems in presence of a boundary. This action preserves half of the original supersymmetry. |
hep-th/0209006 | Eduardo S. Tututi | Eduardo S. Tututi (1), Manuel Torres (2), Juan Carlos D'Olivo (3)
((1)ECFM-UMSNH, (2)IF-UNAM, (3) ICN-UNAM) | Neutrino damping rate at finite temperature and density | LaTex Document, 19 pages, 3 figures | Phys.Rev. D66 (2002) 043001 | 10.1103/PhysRevD.66.043001 | null | hep-th | null | A first principle derivation is given of the neutrino damping rate in
real-time thermal field theory. Starting from the discontinuity of the neutrino
self energy at the two loop level, the damping rate can be expressed as
integrals over space phase of amplitudes squared, weighted with statistical
factors that account for the possibility of particle absorption or emission
from the medium. Specific results for a background composed of neutrinos,
leptons, protons and neutrons are given. Additionally, for the real part of the
dispersion relation we discuss the relation between the results obtained from
the thermal field theory, and those obtained by the thermal average of the
forward scattering amplitude.
| [
{
"created": "Sat, 31 Aug 2002 19:14:23 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Tututi",
"Eduardo S.",
"",
"ECFM-UMSNH"
],
[
"Torres",
"Manuel",
"",
"IF-UNAM"
],
[
"D'Olivo",
"Juan Carlos",
"",
"ICN-UNAM"
]
] | A first principle derivation is given of the neutrino damping rate in real-time thermal field theory. Starting from the discontinuity of the neutrino self energy at the two loop level, the damping rate can be expressed as integrals over space phase of amplitudes squared, weighted with statistical factors that account for the possibility of particle absorption or emission from the medium. Specific results for a background composed of neutrinos, leptons, protons and neutrons are given. Additionally, for the real part of the dispersion relation we discuss the relation between the results obtained from the thermal field theory, and those obtained by the thermal average of the forward scattering amplitude. |
hep-th/0501013 | Horatiu Stefan Nastase | Antal Jevicki and Horatiu Nastase | Towards S matrices on flat space and pp waves from SYM | 42 pages, latex (25 pages+Appendices) | null | null | null | hep-th | null | We analyze the possibility of extracting S matrices on pp waves and flat
space from SYM correlators. For pp waves, there is a subtlety in defining S
matrices, but we can certainly obtain observables. Only extremal correlators
survive the pp wave limit. A first quantized string approach is inconclusive,
producing in the simplest form results that vanish in the pp wave limit. We
define a procedure to get S matrices from SYM correlators, both for flat space
and for pp waves, generalizing a procedure due to Giddings. We analyze
nonrenormalized correlators: 2 and 3 -point functions and extremal correlators.
For the extremal 3-point function, the SYM and AdS results for the S matrix
match for the angular dependence, but the energy dependence doesn't.
| [
{
"created": "Mon, 3 Jan 2005 20:28:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jevicki",
"Antal",
""
],
[
"Nastase",
"Horatiu",
""
]
] | We analyze the possibility of extracting S matrices on pp waves and flat space from SYM correlators. For pp waves, there is a subtlety in defining S matrices, but we can certainly obtain observables. Only extremal correlators survive the pp wave limit. A first quantized string approach is inconclusive, producing in the simplest form results that vanish in the pp wave limit. We define a procedure to get S matrices from SYM correlators, both for flat space and for pp waves, generalizing a procedure due to Giddings. We analyze nonrenormalized correlators: 2 and 3 -point functions and extremal correlators. For the extremal 3-point function, the SYM and AdS results for the S matrix match for the angular dependence, but the energy dependence doesn't. |
1403.5066 | Kazuki Hasebe | Kazuki Hasebe | Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator | 1+56 pages, 4 figures, 4 tables, published version | Nucl.Phys. B 886 (2014) 952-1002 | 10.1016/j.nuclphysb.2014.07.011 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a detail study of higher dimensional quantum Hall effects and
A-class topological insulators with emphasis on their relations to
non-commutative geometry. There are two different formulations of
non-commutative geometry for higher dimensional fuzzy spheres; the ordinary
commutator formulation and quantum Nambu bracket formulation. Corresponding to
these formulations, we introduce two kinds of monopole gauge fields;
non-abelian gauge field and antisymmetric tensor gauge field, which
respectively realize the non-commutative geometry of fuzzy sphere in the lowest
Landau level. We establish connection between the two types of monopole gauge
fields through Chern-Simons term, and derive explicit form of tensor monopole
gauge fields with higher string-like singularity. The connection between two
types of monopole is applied to generalize the concept of flux attachment in
quantum Hall effect to A-class topological insulator. We propose tensor type
Chern-Simons theory as the effective field theory for membranes in A-class
topological insulators. Membranes turn out to be fractionally charged objects
and the phase entanglement mediated by tensor gauge field transforms the
membrane statistics to be anyonic. The index theorem supports the dimensional
hierarchy of A-class topological insulator. Analogies to D-brane physics of
string theory are discussed too.
| [
{
"created": "Thu, 20 Mar 2014 08:38:31 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Apr 2014 13:01:21 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Aug 2014 11:18:47 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Hasebe",
"Kazuki",
""
]
] | We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry. There are two different formulations of non-commutative geometry for higher dimensional fuzzy spheres; the ordinary commutator formulation and quantum Nambu bracket formulation. Corresponding to these formulations, we introduce two kinds of monopole gauge fields; non-abelian gauge field and antisymmetric tensor gauge field, which respectively realize the non-commutative geometry of fuzzy sphere in the lowest Landau level. We establish connection between the two types of monopole gauge fields through Chern-Simons term, and derive explicit form of tensor monopole gauge fields with higher string-like singularity. The connection between two types of monopole is applied to generalize the concept of flux attachment in quantum Hall effect to A-class topological insulator. We propose tensor type Chern-Simons theory as the effective field theory for membranes in A-class topological insulators. Membranes turn out to be fractionally charged objects and the phase entanglement mediated by tensor gauge field transforms the membrane statistics to be anyonic. The index theorem supports the dimensional hierarchy of A-class topological insulator. Analogies to D-brane physics of string theory are discussed too. |
2407.01580 | Niels Gresnigt | Liam Gourlay, Niels Gresnigt | Algebraic realisation of three fermion generations with $S_3$ family and
unbroken gauge symmetry from $\mathbb{C}\ell(8)$ | 17 pages, 0 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Building on previous work, we extend an algebraic realisation of three
fermion generations within the complex Clifford algebra $\mathbb{C}\ell(8)$, by
incorporating an unbroken $U(1)_{em}$ gauge symmetry. The algebra
$\mathbb{C}\ell(8)$ is the multiplication algebra of the complexification of
the Cayley-Dickson algebra of sedenions, $\mathbb{S}$. Previous work
represented three generations of fermions with $SU(3)_C$ colour symmetry,
permuted by an $S_3$ symmetry of order-three. However, it proved difficult to
find a $U(1)$ generator that assigns the correct electric charge to all states.
By generalising the embedding of the order-three $S_3$ automorphism of
$\mathbb{S}$ into $\mathbb{C}\ell(8)$, we include an $S_3$-invariant $U(1)$
that correctly assigns electric charge. First generation states are represented
in terms of two even $\mathbb{C}\ell(8)$ semi-spinors, obtained from two
minimal left ideals, related to each other via the order-two $S_3$ symmetry.
The remaining two generations are obtained by applying the $S_3$ symmetry of
order-three to the first generation. In this model, the gauge symmetries,
$SU(3)_C\times U(1)_{em}$, are $S_3$-invariant and preserve the semi-spinors.
As a result of the generalised embedding of the $S_3$ automorphisms of
$\mathbb{S}$ into $\mathbb{C}\ell(8)$, the three generations are linearly
independent, in contrast to earlier work.
| [
{
"created": "Tue, 11 Jun 2024 09:46:28 GMT",
"version": "v1"
}
] | 2024-07-03 | [
[
"Gourlay",
"Liam",
""
],
[
"Gresnigt",
"Niels",
""
]
] | Building on previous work, we extend an algebraic realisation of three fermion generations within the complex Clifford algebra $\mathbb{C}\ell(8)$, by incorporating an unbroken $U(1)_{em}$ gauge symmetry. The algebra $\mathbb{C}\ell(8)$ is the multiplication algebra of the complexification of the Cayley-Dickson algebra of sedenions, $\mathbb{S}$. Previous work represented three generations of fermions with $SU(3)_C$ colour symmetry, permuted by an $S_3$ symmetry of order-three. However, it proved difficult to find a $U(1)$ generator that assigns the correct electric charge to all states. By generalising the embedding of the order-three $S_3$ automorphism of $\mathbb{S}$ into $\mathbb{C}\ell(8)$, we include an $S_3$-invariant $U(1)$ that correctly assigns electric charge. First generation states are represented in terms of two even $\mathbb{C}\ell(8)$ semi-spinors, obtained from two minimal left ideals, related to each other via the order-two $S_3$ symmetry. The remaining two generations are obtained by applying the $S_3$ symmetry of order-three to the first generation. In this model, the gauge symmetries, $SU(3)_C\times U(1)_{em}$, are $S_3$-invariant and preserve the semi-spinors. As a result of the generalised embedding of the $S_3$ automorphisms of $\mathbb{S}$ into $\mathbb{C}\ell(8)$, the three generations are linearly independent, in contrast to earlier work. |
1507.00582 | Pawel Caputa | Pawel Caputa and Alvaro Veliz-Osorio | Entanglement constant for conformal families | 1+27 pages, 4 figures, v2 published version | Phys. Rev. D 92, 065010 (2015) | 10.1103/PhysRevD.92.065010 | NORDITA-2015-73, WITS-MITP-016 | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in 1+1 dimensional conformal field theories, exciting a state
with a local operator increases the Renyi entanglement entropies by a constant
which is the same for every member of the conformal family. Hence, it is an
intrinsic parameter that characterises local operators from the perspective of
quantum entanglement. In rational conformal field theories this constant
corresponds to the logarithm of the quantum dimension of the primary operator.
We provide several detailed examples for the second Renyi entropies and a
general derivation.
| [
{
"created": "Thu, 2 Jul 2015 13:48:42 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Sep 2015 07:28:59 GMT",
"version": "v2"
}
] | 2015-09-23 | [
[
"Caputa",
"Pawel",
""
],
[
"Veliz-Osorio",
"Alvaro",
""
]
] | We show that in 1+1 dimensional conformal field theories, exciting a state with a local operator increases the Renyi entanglement entropies by a constant which is the same for every member of the conformal family. Hence, it is an intrinsic parameter that characterises local operators from the perspective of quantum entanglement. In rational conformal field theories this constant corresponds to the logarithm of the quantum dimension of the primary operator. We provide several detailed examples for the second Renyi entropies and a general derivation. |
1502.02487 | Xing Huang | Xing Huang, Ling-Yan Hung, Feng-Li Lin | OPE of the stress tensors and surface operators | 20 pages, no figure | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that the divergent terms in the OPE of a stress tensor and a
surface operator of general shape cannot be constructed only from local
geometric data depending only on the shape of the surface. We verify this
holographically at d=3 for Wilson line operators or equivalently the twist
operator corresponding to computing the entanglement entropy using the
Ryu-Takayanagi formula. We discuss possible implications of this result.
| [
{
"created": "Mon, 9 Feb 2015 13:51:12 GMT",
"version": "v1"
}
] | 2015-02-10 | [
[
"Huang",
"Xing",
""
],
[
"Hung",
"Ling-Yan",
""
],
[
"Lin",
"Feng-Li",
""
]
] | We demonstrate that the divergent terms in the OPE of a stress tensor and a surface operator of general shape cannot be constructed only from local geometric data depending only on the shape of the surface. We verify this holographically at d=3 for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result. |
hep-th/0507078 | Seiji Terashima | Koji Hashimoto (Univ. of Tokyo) and Seiji Terashima (Rutgers) | Stringy Derivation of Nahm Construction of Monopoles | 18 pages, 4 eps figures, JHEP style, comments about low energy limits
added, references added | JHEP 0509 (2005) 055 | 10.1088/1126-6708/2005/09/055 | UT-Komaba/05-6 | hep-th | null | We derive the Nahm construction of monopoles from exact tachyon condensation
on unstable D-branes. The Dirac operator used in the Nahm construction is
identified with the tachyon profile in our D-brane approach, and we provide
physical interpretation of the procedures Nahm gave. Crucial is the
introduction of infinite number of brane-antibranes from which arbitrary
D-brane can be constrcuted, exhibitting a unified view of various D-branes. We
explicitly show the equivalence of the D3-brane boundary state with the
monopole profile and the D1-brane boundary state with the Nahm data as
transverse scalars.
| [
{
"created": "Thu, 7 Jul 2005 19:42:52 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2005 08:52:18 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Hashimoto",
"Koji",
"",
"Univ. of Tokyo"
],
[
"Terashima",
"Seiji",
"",
"Rutgers"
]
] | We derive the Nahm construction of monopoles from exact tachyon condensation on unstable D-branes. The Dirac operator used in the Nahm construction is identified with the tachyon profile in our D-brane approach, and we provide physical interpretation of the procedures Nahm gave. Crucial is the introduction of infinite number of brane-antibranes from which arbitrary D-brane can be constrcuted, exhibitting a unified view of various D-branes. We explicitly show the equivalence of the D3-brane boundary state with the monopole profile and the D1-brane boundary state with the Nahm data as transverse scalars. |
hep-th/9212055 | Thomas Larsson | T. A. Larsson | $Z^N$-graded Lie algebras: Fock representations and reducibility
conditions | LaTeX, 21 pages | null | null | null | hep-th | null | Manifestly consistent Fock representations of non-central (but
``core-central'') extensions of the $Z^N$-graded algebras of functions and
vector fields on the $N$-dimensional torus $T^N$ are constructed by a kind of
renormalization procedure. These modules are of lowest-energy type, but the
energy is not a linear function of the momentum. Modulo a technical assumption,
reducibility conditions are proved for the extension of $vect(T^N)$, analogous
to the discrete series of Virasoro representations.
| [
{
"created": "Wed, 9 Dec 1992 17:19:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Larsson",
"T. A.",
""
]
] | Manifestly consistent Fock representations of non-central (but ``core-central'') extensions of the $Z^N$-graded algebras of functions and vector fields on the $N$-dimensional torus $T^N$ are constructed by a kind of renormalization procedure. These modules are of lowest-energy type, but the energy is not a linear function of the momentum. Modulo a technical assumption, reducibility conditions are proved for the extension of $vect(T^N)$, analogous to the discrete series of Virasoro representations. |
hep-th/0507157 | Bahram Mashhoon | Bahram Mashhoon | Quantum Theory in Accelerated Frames of Reference | 25 pages, no figures, contribution to Springer Lecture Notes in
Physics (Proc. SR 2005, Potsdam, Germany, February 13 - 18, 2005) | Lect.Notes Phys.702:112-132,2006 | 10.1007/3-540-34523-X_5 | null | hep-th gr-qc | null | The observational basis of quantum theory in accelerated systems is studied.
The extension of Lorentz invariance to accelerated systems via the hypothesis
of locality is discussed and the limitations of this hypothesis are pointed
out. The nonlocal theory of accelerated observers is briefly described.
Moreover, the main observational aspects of Dirac's equation in noninertial
frames of reference are presented. The Galilean invariance of nonrelativistic
quantum mechanics and the mass superselection rule are examined in the light of
the invariance of physical laws under inhomogeneous Lorentz transformations.
| [
{
"created": "Fri, 15 Jul 2005 18:09:20 GMT",
"version": "v1"
}
] | 2011-04-11 | [
[
"Mashhoon",
"Bahram",
""
]
] | The observational basis of quantum theory in accelerated systems is studied. The extension of Lorentz invariance to accelerated systems via the hypothesis of locality is discussed and the limitations of this hypothesis are pointed out. The nonlocal theory of accelerated observers is briefly described. Moreover, the main observational aspects of Dirac's equation in noninertial frames of reference are presented. The Galilean invariance of nonrelativistic quantum mechanics and the mass superselection rule are examined in the light of the invariance of physical laws under inhomogeneous Lorentz transformations. |
2404.17030 | Panagiotis Charalambous | Panagiotis Charalambous | Magic zeroes in the black hole response problem and a Love symmetry
resolution | 215+36 pages, 12 figures, 9 tables, Ph.D. Thesis | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we present the emergence of an $SL(2,R)$ ("Love") symmetry in
the suitably defined near-zone region, relevant for studying the black hole
response problem. This symmetry is globally defined and physical solutions of
the black hole linearized field equations are closed under its action. The
vanishing of static Love numbers is found to naturally arise as a selection
rule following from the fact that the relevant solution belongs to a particular
highest-weight representation of the Love symmetry. Interestingly, the Love
symmetry appears to be connected to the well-known enhanced $SL(2,R)$ isometry
subgroup of the near-horizon extremal geometry. Namely, the Love symmetry
exactly reduces to the isometry of the near-horizon AdS$_2$ throat for extremal
Reissner-Nordstr\"om black holes, while, for rotating black holes, one is lead
to consider an infinite-dimensional $SL(2,R)\ltimes\hat{U}(1)_V$ extension of
the Love symmetry, a family of subalgebras of which precisely recovers the
Killing vectors of the corresponding AdS$_2$ throat in the extremal limit.
Similar results persist when studying perturbations of general-relativistic
black holes in higher dimensions. Even though the black hole static Love
numbers now vanish only for a discrete set of resonant conditions that depends
on the orbital number of the perturbation, Love symmetry exists independently
of these details. This hints at a geometric interpretation of the Love
symmetry; a statement that becomes more rigorous within the framework of
subtracted geometries. However, Love symmetry appears to be theory-dependent.
We extract, in particular, a sufficient geometric condition for its existence
according to which, for instance, it does not exist in Riemann$^3$ gravity or
some stringy-corrected low-energy effective gravitational actions, in
accordance with explicit computations of the corresponding black hole Love
numbers.
| [
{
"created": "Thu, 25 Apr 2024 20:43:35 GMT",
"version": "v1"
}
] | 2024-04-29 | [
[
"Charalambous",
"Panagiotis",
""
]
] | In this thesis, we present the emergence of an $SL(2,R)$ ("Love") symmetry in the suitably defined near-zone region, relevant for studying the black hole response problem. This symmetry is globally defined and physical solutions of the black hole linearized field equations are closed under its action. The vanishing of static Love numbers is found to naturally arise as a selection rule following from the fact that the relevant solution belongs to a particular highest-weight representation of the Love symmetry. Interestingly, the Love symmetry appears to be connected to the well-known enhanced $SL(2,R)$ isometry subgroup of the near-horizon extremal geometry. Namely, the Love symmetry exactly reduces to the isometry of the near-horizon AdS$_2$ throat for extremal Reissner-Nordstr\"om black holes, while, for rotating black holes, one is lead to consider an infinite-dimensional $SL(2,R)\ltimes\hat{U}(1)_V$ extension of the Love symmetry, a family of subalgebras of which precisely recovers the Killing vectors of the corresponding AdS$_2$ throat in the extremal limit. Similar results persist when studying perturbations of general-relativistic black holes in higher dimensions. Even though the black hole static Love numbers now vanish only for a discrete set of resonant conditions that depends on the orbital number of the perturbation, Love symmetry exists independently of these details. This hints at a geometric interpretation of the Love symmetry; a statement that becomes more rigorous within the framework of subtracted geometries. However, Love symmetry appears to be theory-dependent. We extract, in particular, a sufficient geometric condition for its existence according to which, for instance, it does not exist in Riemann$^3$ gravity or some stringy-corrected low-energy effective gravitational actions, in accordance with explicit computations of the corresponding black hole Love numbers. |
1601.06277 | Miguel Tierz | Miguel Tierz | Exact solution of Chern-Simons-matter matrix models with
characteristic/orthogonal polynomials | 17 pages, v2: a paragraph added; final, published, version | JHEP 04 (2016) 168 | 10.1007/JHEP04(2016)168 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve for finite $N$ the matrix model of supersymmetric $U(N)$
Chern-Simons theory coupled to $N_{f}$ fundamental and $N_{f}$ anti-fundamental
chiral multiplets of $R$-charge $1/2$ and of mass $m$, by identifying it with
an average of inverse characteristic polynomials in a Stieltjes-Wigert
ensemble. This requires the computation of the Cauchy transform of the
Stieltjes-Wigert polynomials, which we carry out, finding a relationship with
Mordell integrals, and hence with previous analytical results on the matrix
model. The semiclassical limit of the model is expressed, for arbitrary
$N_{f},$ in terms of a single Hermite polynomial. This result also holds for
more general matter content, involving matrix models with double-sine
functions.
| [
{
"created": "Sat, 23 Jan 2016 15:12:40 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Apr 2016 17:12:51 GMT",
"version": "v2"
}
] | 2016-05-03 | [
[
"Tierz",
"Miguel",
""
]
] | We solve for finite $N$ the matrix model of supersymmetric $U(N)$ Chern-Simons theory coupled to $N_{f}$ fundamental and $N_{f}$ anti-fundamental chiral multiplets of $R$-charge $1/2$ and of mass $m$, by identifying it with an average of inverse characteristic polynomials in a Stieltjes-Wigert ensemble. This requires the computation of the Cauchy transform of the Stieltjes-Wigert polynomials, which we carry out, finding a relationship with Mordell integrals, and hence with previous analytical results on the matrix model. The semiclassical limit of the model is expressed, for arbitrary $N_{f},$ in terms of a single Hermite polynomial. This result also holds for more general matter content, involving matrix models with double-sine functions. |
hep-th/0312093 | Plamen Bozhilov | P. Bozhilov | On the Open String Ending on D-brane | LaTeX, 14 pages, no figures; V2: cosmetic changes, invited paper for
the Volume "Frontiers in Field Thory", O. Kovras, ed. (Nova Science
Publishers, NY) | null | null | null | hep-th | null | We obtain background independent solutions for an open string ending on
D-brane, in variable external fields. Explicit solution of the boundary
conditions is given for background metric and NS-NS two-form gauge field,
depending on the coordinates of the transverse to the Dp-brane directions.
Extension of the constraint algebra is proposed and discussed from both
Hamiltonian and Lagrangian approach viewpoint.
| [
{
"created": "Tue, 9 Dec 2003 18:43:52 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2005 09:06:58 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bozhilov",
"P.",
""
]
] | We obtain background independent solutions for an open string ending on D-brane, in variable external fields. Explicit solution of the boundary conditions is given for background metric and NS-NS two-form gauge field, depending on the coordinates of the transverse to the Dp-brane directions. Extension of the constraint algebra is proposed and discussed from both Hamiltonian and Lagrangian approach viewpoint. |
hep-th/0701250 | David Ridout | Pierre Mathieu and David Ridout | The Extended Algebra of the Minimal Models | 43 pages, 1 figure. Added reference, clarification to proof of Thm
5.1, and several paragraphs to Sec 3.2 addressing modules corresponding to
simple current fixed points | Nucl.Phys.B776:365-404,2007 | 10.1016/j.nuclphysb.2007.03.030 | null | hep-th | null | The minimal models M(p',p) with p' > 2 have a unique (non-trivial) simple
current of conformal dimension h = (p' - 2) (p - 2) / 4. The representation
theory of the extended algebra defined by this simple current is investigated
in detail. All highest weight representations are proved to be irreducible:
There are thus no singular vectors in the extended theory. This has interesting
structural consequences. In particular, it leads to a recursive method for
computing the various terms appearing in the operator product expansion of the
simple current with itself. The simplest extended models are analysed in detail
and the question of equivalence of conformal field theories is carefully
examined.
| [
{
"created": "Mon, 29 Jan 2007 19:01:34 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2007 13:33:55 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Mathieu",
"Pierre",
""
],
[
"Ridout",
"David",
""
]
] | The minimal models M(p',p) with p' > 2 have a unique (non-trivial) simple current of conformal dimension h = (p' - 2) (p - 2) / 4. The representation theory of the extended algebra defined by this simple current is investigated in detail. All highest weight representations are proved to be irreducible: There are thus no singular vectors in the extended theory. This has interesting structural consequences. In particular, it leads to a recursive method for computing the various terms appearing in the operator product expansion of the simple current with itself. The simplest extended models are analysed in detail and the question of equivalence of conformal field theories is carefully examined. |
2201.00521 | Liu Zhao | Liu Zhao | Thermodynamics for higher dimensional rotating black holes with variable
Newton constant | 15 pages. V2: version to appear in Chinese Physics C | null | 10.1088/1674-1137/ac4f4c | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The extensivity for the thermodynamics of general $D$-dimensional rotating
black holes with or without a cosmological constant can be proved analytically,
provided the effective number of microscopic degrees of freedom and the
chemical potential are given respectively as $N=L^{D-2}/G, \mu= GTI_D/L^{D-2}$,
where $G$ is the variable Newton constant, $I_D$ is the Euclidean action and
$L$ is a constant length scale. In the cases without a cosmological constant,
i.e. the Myers-Perry black holes, the physical mass and the intensive variables
can be expressed as explicit macro state functions in the extensive variables
in a simple and compact form, which allows for an analytical calculation for
the heat capacity. The results indicate that the Myers-Perry black holes with
zero, one and $k$ equal rotation parameters are all thermodynamically unstable.
| [
{
"created": "Mon, 3 Jan 2022 08:33:50 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2022 03:24:51 GMT",
"version": "v2"
}
] | 2022-05-18 | [
[
"Zhao",
"Liu",
""
]
] | The extensivity for the thermodynamics of general $D$-dimensional rotating black holes with or without a cosmological constant can be proved analytically, provided the effective number of microscopic degrees of freedom and the chemical potential are given respectively as $N=L^{D-2}/G, \mu= GTI_D/L^{D-2}$, where $G$ is the variable Newton constant, $I_D$ is the Euclidean action and $L$ is a constant length scale. In the cases without a cosmological constant, i.e. the Myers-Perry black holes, the physical mass and the intensive variables can be expressed as explicit macro state functions in the extensive variables in a simple and compact form, which allows for an analytical calculation for the heat capacity. The results indicate that the Myers-Perry black holes with zero, one and $k$ equal rotation parameters are all thermodynamically unstable. |
0705.3110 | David Berenstein | David Berenstein, Hee-Joong Chung | Aspects of open strings in Rindler Space | 25 pages, 3 figures. v2: references added | null | null | null | hep-th | null | We study open string configurations in Rindler space suspended from D-branes
at finite distance from the Rindler horizon. This is a toy model for strings in
the near horizon region of a black hole and has applications for the study of
strings configurations of heavy quarks in the AdS/CFT duals of hot field
theories, as well as other applications to the study of open strings ending on
giant gravitons. We find that this setup produces very similar results to those
that have been found in the AdS black hole setup, but it is much more tractable
analytically. We also comment on some quantum applications of our studies to
the understanding of the spectrum of strings ending on giant gravitons.
| [
{
"created": "Tue, 22 May 2007 18:43:13 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2007 17:04:43 GMT",
"version": "v2"
}
] | 2007-06-13 | [
[
"Berenstein",
"David",
""
],
[
"Chung",
"Hee-Joong",
""
]
] | We study open string configurations in Rindler space suspended from D-branes at finite distance from the Rindler horizon. This is a toy model for strings in the near horizon region of a black hole and has applications for the study of strings configurations of heavy quarks in the AdS/CFT duals of hot field theories, as well as other applications to the study of open strings ending on giant gravitons. We find that this setup produces very similar results to those that have been found in the AdS black hole setup, but it is much more tractable analytically. We also comment on some quantum applications of our studies to the understanding of the spectrum of strings ending on giant gravitons. |
hep-th/9409058 | Shahn Majid | Shahn Majid | *-Structures on Braided Spaces | 20 pages | J.Math.Phys. 36 (1995) 4436-4449 | 10.1063/1.530900 | DAMTP/94-66 | hep-th math.QA | null | $*$-structures on quantum and braided spaces of the type defined via an
R-matrix are studied. These include $q$-Minkowski and $q$-Euclidean spaces as
additive braided groups. The duality between the $*$-braided groups of vectors
and covectors is proved and some first applications to braided geometry are
made.
| [
{
"created": "Sun, 11 Sep 1994 02:33:33 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 1994 21:16:50 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Majid",
"Shahn",
""
]
] | $*$-structures on quantum and braided spaces of the type defined via an R-matrix are studied. These include $q$-Minkowski and $q$-Euclidean spaces as additive braided groups. The duality between the $*$-braided groups of vectors and covectors is proved and some first applications to braided geometry are made. |
2011.13145 | Shin Sasaki | Machiko Hatsuda, Shin Sasaki and Masaya Yata | Five-brane Current Algebras in Type II String Theories | 32 pages, 1 figure, version appeared in JHEP | JHEP03(2021)298 | 10.1007/JHEP03(2021)298 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the current algebras of the NS5-branes, the Kaluza-Klein (KK)
five-branes and the exotic $5^2_2$-branes in type IIA/IIB superstring theories.
Their worldvolume theories are governed by the six-dimensional $\mathcal{N}=
(2,0)$ tensor and the $\mathcal{N} = (1,1)$ vector multiplets. We show that the
current algebras are determined through the S- and T-dualities. The algebras of
the $\mathcal{N} = (2,0)$ theories are characterized by the Dirac bracket
caused by the self-dual gauge field in the five-brane worldvolumes, while those
of the $\mathcal{N} = (1,1)$ theories are given by the Poisson bracket. By the
use of these algebras, we examine extended spaces in terms of tensor
coordinates which are the representation of ten-dimensional supersymmetry. We
also examine the transition rules of the currents in the type IIA/IIB
supersymmetry algebras in ten dimensions. Based on the algebras, we write down
the section conditions in the extended spaces and gauge transformations of the
supergravity fields.
| [
{
"created": "Thu, 26 Nov 2020 06:17:06 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Dec 2020 07:21:11 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Apr 2021 12:41:17 GMT",
"version": "v3"
}
] | 2021-04-02 | [
[
"Hatsuda",
"Machiko",
""
],
[
"Sasaki",
"Shin",
""
],
[
"Yata",
"Masaya",
""
]
] | We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic $5^2_2$-branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional $\mathcal{N}= (2,0)$ tensor and the $\mathcal{N} = (1,1)$ vector multiplets. We show that the current algebras are determined through the S- and T-dualities. The algebras of the $\mathcal{N} = (2,0)$ theories are characterized by the Dirac bracket caused by the self-dual gauge field in the five-brane worldvolumes, while those of the $\mathcal{N} = (1,1)$ theories are given by the Poisson bracket. By the use of these algebras, we examine extended spaces in terms of tensor coordinates which are the representation of ten-dimensional supersymmetry. We also examine the transition rules of the currents in the type IIA/IIB supersymmetry algebras in ten dimensions. Based on the algebras, we write down the section conditions in the extended spaces and gauge transformations of the supergravity fields. |
hep-th/9510151 | null | S. James Gates, Jr. and Lubna Rana | A Theory of Spinning Particles for Large N_extended Supersymmetry (II) | Latex file, 13 pages | Phys.Lett. B369 (1996) 262-268 | 10.1016/0370-2693(95)01542-6 | UMDEPP 96-38 | hep-th | null | Extending our prior investigation, we give a new off-shell construction of
theories of spinning particles propagating in Minkowski spaces with arbitrary
$N$-extended supersymmetry on the world-line. The basis of the new off-shell
formulation is provided by realizations of new algebraic structures ${\cal
G}{\cal R}$(${\rm d}, N$) that are certain generalizations of Pauli algebras.
| [
{
"created": "Fri, 20 Oct 1995 17:28:46 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Rana",
"Lubna",
""
]
] | Extending our prior investigation, we give a new off-shell construction of theories of spinning particles propagating in Minkowski spaces with arbitrary $N$-extended supersymmetry on the world-line. The basis of the new off-shell formulation is provided by realizations of new algebraic structures ${\cal G}{\cal R}$(${\rm d}, N$) that are certain generalizations of Pauli algebras. |
hep-th/9603103 | Artemio Gonzalez Lopez | Federico Finkel, Artemio Gonzalez-Lopez, Miguel A. Rodriguez (Dept. of
Theoretical Physics II, Universidad Complutense, Madrid) | Quasi-Exactly Solvable Potentials on the Line and Orthogonal Polynomials | 22 pages, plain TeX. Please typeset only the file orth.tex | J.Math.Phys. 37 (1996) 3954-3972 | 10.1063/1.531591 | UCM/FTII-03-96 | hep-th | null | In this paper we show that a quasi-exactly solvable (normalizable or
periodic) one-dimensional Hamiltonian satisfying very mild conditions defines a
family of weakly orthogonal polynomials which obey a three-term recursion
relation. In particular, we prove that (normalizable) exactly-solvable
one-dimensional systems are characterized by the fact that their associated
polynomials satisfy a two-term recursion relation. We study the properties of
the family of weakly orthogonal polynomials defined by an arbitrary
one-dimensional quasi-exactly solvable Hamiltonian, showing in particular that
its associated Stieltjes measure is supported on a finite set. From this we
deduce that the corresponding moment problem is determined, and that the $k$-th
moment grows like the $k$-th power of a constant as $k$ tends to infinity. We
also show that the moments satisfy a constant coefficient linear difference
equation, and that this property actually characterizes weakly orthogonal
polynomial systems.
| [
{
"created": "Fri, 15 Mar 1996 11:17:23 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Finkel",
"Federico",
"",
"Dept. of\n Theoretical Physics II, Universidad Complutense, Madrid"
],
[
"Gonzalez-Lopez",
"Artemio",
"",
"Dept. of\n Theoretical Physics II, Universidad Complutense, Madrid"
],
[
"Rodriguez",
"Miguel A.",
"",
"Dept. of\n Theoretical Physics II, Universidad Complutense, Madrid"
]
] | In this paper we show that a quasi-exactly solvable (normalizable or periodic) one-dimensional Hamiltonian satisfying very mild conditions defines a family of weakly orthogonal polynomials which obey a three-term recursion relation. In particular, we prove that (normalizable) exactly-solvable one-dimensional systems are characterized by the fact that their associated polynomials satisfy a two-term recursion relation. We study the properties of the family of weakly orthogonal polynomials defined by an arbitrary one-dimensional quasi-exactly solvable Hamiltonian, showing in particular that its associated Stieltjes measure is supported on a finite set. From this we deduce that the corresponding moment problem is determined, and that the $k$-th moment grows like the $k$-th power of a constant as $k$ tends to infinity. We also show that the moments satisfy a constant coefficient linear difference equation, and that this property actually characterizes weakly orthogonal polynomial systems. |
hep-th/0309166 | Ali Chamseddine | Ali H. Chamseddine | SL(2,C) Gravity with Complex Vierbein and Its Noncommutative Extension | Minor corrections. The noncommutative action in section 3 is
simplified. Version to appear in Physical Review D | Phys.Rev. D69 (2004) 024015 | 10.1103/PhysRevD.69.024015 | CAMS/03-07 | hep-th | null | We show that it is possible to formulate gravity with a complex vierbein
based on SL(2,C) gauge invariance. The proposed action is a four-form where the
metric is not introduced but results as a function of the complex vierbein.
This formulation is based on the first order formalism. The novel feature here
is that integration of the spin-connection gauge field gives rise to kinetic
terms for a massless graviton, a massive graviton with the Fierz-Pauli mass
term, and a scalar field. The resulting theory is equivalent to bigravity. We
then show that by extending the gauge group to GL(2,C} the formalism can be
easily generalized to apply to a noncommutative space with the star product. We
give the deformed action and derive the Seiberg-Witten map for the complex
vierbein and gauge fields.
| [
{
"created": "Tue, 16 Sep 2003 19:12:59 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 2003 15:02:01 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Chamseddine",
"Ali H.",
""
]
] | We show that it is possible to formulate gravity with a complex vierbein based on SL(2,C) gauge invariance. The proposed action is a four-form where the metric is not introduced but results as a function of the complex vierbein. This formulation is based on the first order formalism. The novel feature here is that integration of the spin-connection gauge field gives rise to kinetic terms for a massless graviton, a massive graviton with the Fierz-Pauli mass term, and a scalar field. The resulting theory is equivalent to bigravity. We then show that by extending the gauge group to GL(2,C} the formalism can be easily generalized to apply to a noncommutative space with the star product. We give the deformed action and derive the Seiberg-Witten map for the complex vierbein and gauge fields. |
1307.7899 | Pouria Pedram | M. Asghari, P. Pedram, and K. Nozari | Harmonic oscillator with minimal length, minimal momentum, and maximal
momentum uncertainties in SUSYQM framework | 14 pages, 1 figure, to appear in Physics Letters B | Phys. Lett. B 725, 451 (2013) | 10.1016/j.physletb.2013.07.030 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a Generalized Uncertainty Principle (GUP) framework which
predicts a maximal uncertainty in momentum and minimal uncertainties both in
position and momentum. We apply supersymmetric quantum mechanics method and the
shape invariance condition to obtain the exact harmonic oscillator eigenvalues
in this GUP context. We find the supersymmetric partner Hamiltonians and show
that the harmonic oscillator belongs to a hierarchy of Hamiltonians with a
shift in momentum representation and different masses and frequencies. We also
study the effect of a uniform electric field on the harmonic oscillator energy
spectrum in this setup.
| [
{
"created": "Tue, 30 Jul 2013 10:50:03 GMT",
"version": "v1"
}
] | 2014-09-24 | [
[
"Asghari",
"M.",
""
],
[
"Pedram",
"P.",
""
],
[
"Nozari",
"K.",
""
]
] | We consider a Generalized Uncertainty Principle (GUP) framework which predicts a maximal uncertainty in momentum and minimal uncertainties both in position and momentum. We apply supersymmetric quantum mechanics method and the shape invariance condition to obtain the exact harmonic oscillator eigenvalues in this GUP context. We find the supersymmetric partner Hamiltonians and show that the harmonic oscillator belongs to a hierarchy of Hamiltonians with a shift in momentum representation and different masses and frequencies. We also study the effect of a uniform electric field on the harmonic oscillator energy spectrum in this setup. |
1110.5044 | Alexander Reshetnyak | I.L. Buchbinder, A. Reshetnyak | General Lagrangian Formulation for Higher Spin Fields with Arbitrary
Index Symmetry. I. Bosonic fields | 54 pages, abstract, Introduction and Conclusion extended by notes on
new obtained example of Lagrangian for 4-th rank tensor of spin (2,1,1),
Section 6 "Examples" and Appendix D added | Nucl. Phys. B 862 (2012), pp.270-326 | 10.1016/j.nuclphysb.2012.04.016 | null | hep-th math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a Lagrangian description of irreducible integer higher-spin
representations of the Poincare group with an arbitrary Young tableaux having k
rows, on a basis of the universal BRST approach. Starting with a description of
bosonic mixed-symmetry higher-spin fields in a flat space of any dimension in
terms of an auxiliary Fock space associated with special Poincare module, we
realize a conversion of the initial operator constraint system (constructed
with respect to the relations extracting irreducible Poincare-group
representations) into a first-class constraint system. For this purpose, we
find, for the first time, auxiliary representations of the constraint
subalgebra, to be isomorphic due to Howe duality to sp(2k) algebra, and
containing the subsystem of second-class constraints in terms of new oscillator
variables. We propose a universal procedure of constructing unconstrained
gauge-invariant Lagrangians with reducible gauge symmetries describing the
dynamics of both massless and massive bosonic fields of any spin. It is shown
that the space of BRST cohomologies with a vanishing ghost number is determined
only by the constraints corresponding to an irreducible Poincare-group
representation. As examples of the general procedure, we formulate the method
of Lagrangian construction for bosonic fields subject to arbitrary Young
tableaux having 3 rows and derive the gauge-invariant Lagrangian for new model
of massless rank-4 tensor field with spin $(2,1,1)$ and second-stage reducible
gauge symmetries.
| [
{
"created": "Sun, 23 Oct 2011 13:43:09 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 20:43:10 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Mar 2012 08:28:38 GMT",
"version": "v3"
}
] | 2012-05-18 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Reshetnyak",
"A.",
""
]
] | We construct a Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic mixed-symmetry higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a first-class constraint system. For this purpose, we find, for the first time, auxiliary representations of the constraint subalgebra, to be isomorphic due to Howe duality to sp(2k) algebra, and containing the subsystem of second-class constraints in terms of new oscillator variables. We propose a universal procedure of constructing unconstrained gauge-invariant Lagrangians with reducible gauge symmetries describing the dynamics of both massless and massive bosonic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by the constraints corresponding to an irreducible Poincare-group representation. As examples of the general procedure, we formulate the method of Lagrangian construction for bosonic fields subject to arbitrary Young tableaux having 3 rows and derive the gauge-invariant Lagrangian for new model of massless rank-4 tensor field with spin $(2,1,1)$ and second-stage reducible gauge symmetries. |
1412.4762 | Vitaly Velizhanin | Christian Marboe, Vitaly Velizhanin, Dmytro Volin | Six-loop anomalous dimension of twist-two operators in planar N=4 SYM
theory | 33 pages, 4 ancillary files, minor changes | null | null | HU-Mathematik-P-2014-37, HU-EP-14/60 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the general form of the six-loop anomalous dimension of twist-two
operators with arbitrary spin in planar N=4 SYM theory. First we find the
contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping
terms from the first 35 even spin values of the full six-loop anomalous
dimension computed using the quantum spectral curve approach. The obtained
anomalous dimension satisfies all known constraints coming from the BFKL
equation, the generalised double-logarithmic equation, and the small spin
expansion.
| [
{
"created": "Mon, 15 Dec 2014 20:55:10 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jun 2015 21:28:48 GMT",
"version": "v2"
}
] | 2015-06-09 | [
[
"Marboe",
"Christian",
""
],
[
"Velizhanin",
"Vitaly",
""
],
[
"Volin",
"Dmytro",
""
]
] | We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms from the first 35 even spin values of the full six-loop anomalous dimension computed using the quantum spectral curve approach. The obtained anomalous dimension satisfies all known constraints coming from the BFKL equation, the generalised double-logarithmic equation, and the small spin expansion. |
1212.6265 | Manuela Kulaxizi | Manuela Kulaxizi and Rakibur Rahman | Holographic Constraints on a Vector Boson | minor modifications, typos corrected and references added, version to
appear in JHEP | null | 10.1007/JHEP04(2013)164 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that holography poses non-trivial restrictions on various couplings
of an interacting field. For a vector boson in the AdS Reissner-Nordstrom
background, the dual boundary theory is pathological unless its electromagnetic
and gravitational multipole moments are constrained. Among others, a generic
dipole moment afflicts the dual CFT with superluminal modes, whose remedy
bounds the gyromagnetic ratio in a range around the natural value g=2. We
discuss the CFT implications of our results, and argue that similar
considerations can shed light on how massive higher-spin fields couple to
electromagnetism and gravity.
| [
{
"created": "Wed, 26 Dec 2012 21:03:58 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2013 15:44:35 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Kulaxizi",
"Manuela",
""
],
[
"Rahman",
"Rakibur",
""
]
] | We show that holography poses non-trivial restrictions on various couplings of an interacting field. For a vector boson in the AdS Reissner-Nordstrom background, the dual boundary theory is pathological unless its electromagnetic and gravitational multipole moments are constrained. Among others, a generic dipole moment afflicts the dual CFT with superluminal modes, whose remedy bounds the gyromagnetic ratio in a range around the natural value g=2. We discuss the CFT implications of our results, and argue that similar considerations can shed light on how massive higher-spin fields couple to electromagnetism and gravity. |
1905.11357 | Ruslan Metsaev | R.R. Metsaev | Cubic interaction vertices for N=1 arbitrary spin massless
supermultiplets in flat space | LaTeX-2e, 31 pages, v3: Discussion in Sec.6 on interrelation of
light-cone vertices and covariant vertices added. Tables I,II and reference
added | null | 10.1007/JHEP08(2019)130 | FIAN-TD-2019-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of light-cone gauge formulation, massless arbitrary spin N=1
supermultiplets in four-dimensional flat space are considered. We study both
the integer (super)spin and half-integer (super)spin supermultiplets. For such
supermultiplets, formulation in terms of unconstrained light-cone gauge
superfields defined on chiral momentum superspace is used. Superfield
representation for all cubic interaction vertices of the supermultiplets is
obtained. Representation of the cubic vertices in terms of component fields is
derived. Realization of relativistic symmetries of N=1 Poincare superalgebra on
space of interacting superfields is also found.
| [
{
"created": "Mon, 27 May 2019 17:35:05 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 17:36:08 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Sep 2019 16:44:02 GMT",
"version": "v3"
}
] | 2019-10-02 | [
[
"Metsaev",
"R. R.",
""
]
] | In the framework of light-cone gauge formulation, massless arbitrary spin N=1 supermultiplets in four-dimensional flat space are considered. We study both the integer (super)spin and half-integer (super)spin supermultiplets. For such supermultiplets, formulation in terms of unconstrained light-cone gauge superfields defined on chiral momentum superspace is used. Superfield representation for all cubic interaction vertices of the supermultiplets is obtained. Representation of the cubic vertices in terms of component fields is derived. Realization of relativistic symmetries of N=1 Poincare superalgebra on space of interacting superfields is also found. |
hep-th/0409238 | Samson Shatashvili | Anton A. Gerasimov and Samson L. Shatashvili | Towards Integrability of Topological Strings I: Three-forms on
Calabi-Yau manifolds | 31 pages | JHEP0411:074,2004 | 10.1088/1126-6708/2004/11/074 | null | hep-th | null | The precise relation between Kodaira-Spencer path integral and a particular
wave function in seven dimensional quadratic field theory is established. The
special properties of three-forms in 6d, as well as Hitchin's action
functional, play an important role. The latter defines a quantum field theory
similar to Polyakov's formulation of 2d gravity; the curious analogy with
world-sheet action of bosonic string is also pointed out.
| [
{
"created": "Thu, 23 Sep 2004 16:33:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gerasimov",
"Anton A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | The precise relation between Kodaira-Spencer path integral and a particular wave function in seven dimensional quadratic field theory is established. The special properties of three-forms in 6d, as well as Hitchin's action functional, play an important role. The latter defines a quantum field theory similar to Polyakov's formulation of 2d gravity; the curious analogy with world-sheet action of bosonic string is also pointed out. |
hep-th/0507202 | Matthew Lippert | Andrew R. Frey and Matthew Lippert | AdS Strings with Torsion: Non-complex Heterotic Compactifications | 42 pages; v2. added refs, revised discussion of Bianchi for NK | Phys.Rev.D72:126001,2005 | 10.1103/PhysRevD.72.126001 | CALT-68-2567, UK-05-05 | hep-th | null | Combining the effects of fluxes and gaugino condensation in heterotic
supergravity, we use a ten-dimensional approach to find a new class of
four-dimensional supersymmetric AdS compactifications on almost-Hermitian
manifolds of SU(3) structure. Computation of the torsion allows a
classification of the internal geometry, which for a particular combination of
fluxes and condensate, is nearly Kahler. We argue that all moduli are fixed,
and we show that the Kahler potential and superpotential proposed in the
literature yield the correct AdS radius. In the nearly Kahler case, we are able
to solve the H Bianchi using a nonstandard embedding. Finally, we point out
subtleties in deriving the effective superpotential and understanding the
heterotic supergravity in the presence of a gaugino condensate.
| [
{
"created": "Wed, 20 Jul 2005 20:25:53 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2005 17:18:55 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Frey",
"Andrew R.",
""
],
[
"Lippert",
"Matthew",
""
]
] | Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kahler. We argue that all moduli are fixed, and we show that the Kahler potential and superpotential proposed in the literature yield the correct AdS radius. In the nearly Kahler case, we are able to solve the H Bianchi using a nonstandard embedding. Finally, we point out subtleties in deriving the effective superpotential and understanding the heterotic supergravity in the presence of a gaugino condensate. |
1812.09253 | Zohar Komargodski | Zohar Komargodski | Baryons as Quantum Hall Droplets | 27 pages, 2 figures. v2: references and some clarifications added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of baryons in the large N limit of Quantum
Chromodynamics. A special case in which the theory of Skyrmions is inapplicable
is one-flavor QCD, where there are no light pions to construct the baryon from.
More generally, the description of baryons made out of predominantly one flavor
within the Skyrmion model is unsatisfactory. We propose a model for such
baryons, where the baryons are interpreted as quantum Hall droplets. An
important element in our construction is an extended, 2+1 dimensional,
meta-stable configuration of the $\eta'$ particle. Baryon number is identified
with a magnetic symmetry on the 2+1 dimensional sheet. If the sheet has a
boundary, there are finite energy chiral excitations which carry baryon number.
These chiral excitations are analogous to the electron in the fractional
quantum Hall effect. Studying the chiral vertex operators we are able to
determine the spin, isospin, and certain excitations of the droplet. In
addition, balancing the tension of the droplet against the energy stored at the
boundary we estimate the size and mass of the baryons. The mass, size, spin,
isospin, and excitations that we find agree with phenomenological expectations.
| [
{
"created": "Fri, 21 Dec 2018 16:50:50 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2019 19:05:43 GMT",
"version": "v2"
}
] | 2019-02-08 | [
[
"Komargodski",
"Zohar",
""
]
] | We revisit the problem of baryons in the large N limit of Quantum Chromodynamics. A special case in which the theory of Skyrmions is inapplicable is one-flavor QCD, where there are no light pions to construct the baryon from. More generally, the description of baryons made out of predominantly one flavor within the Skyrmion model is unsatisfactory. We propose a model for such baryons, where the baryons are interpreted as quantum Hall droplets. An important element in our construction is an extended, 2+1 dimensional, meta-stable configuration of the $\eta'$ particle. Baryon number is identified with a magnetic symmetry on the 2+1 dimensional sheet. If the sheet has a boundary, there are finite energy chiral excitations which carry baryon number. These chiral excitations are analogous to the electron in the fractional quantum Hall effect. Studying the chiral vertex operators we are able to determine the spin, isospin, and certain excitations of the droplet. In addition, balancing the tension of the droplet against the energy stored at the boundary we estimate the size and mass of the baryons. The mass, size, spin, isospin, and excitations that we find agree with phenomenological expectations. |
hep-th/0603157 | Burkhard Eden | B.Eden and M.Staudacher | Integrability and Transcendentality | 45 pages LaTeX, 3 postscript figures. v2: Chapter on BMN scaling and
transcendentality added. v3: version accepted for publication in JSTAT | J.Stat.Mech.0611:P11014,2006 | 10.1088/1742-5468/2006/11/P11014 | AEI-2005-165 | hep-th | null | We derive the two-loop Bethe ansatz for the sl(2) twist operator sector of
N=4 gauge theory directly from the field theory. We then analyze a recently
proposed perturbative asymptotic all-loop Bethe ansatz in the limit of large
spacetime spin at large but finite twist, and find a novel all-loop scaling
function. This function obeys the Kotikov-Lipatov transcendentality principle
and does not depend on the twist. Under the assumption that one may extrapolate
back to leading twist, our result yields an all-loop prediction for the
large-spin anomalous dimensions of twist-two operators. The latter also appears
as an undetermined function in a recent conjecture of Bern, Dixon and Smirnov
for the all-loop structure of the maximally helicity violating (MHV) n-point
gluon amplitudes of N=4 gauge theory. This potentially establishes a direct
link between the worldsheet and the spacetime S-matrix approach. A further
assumption for the validity of our prediction is that perturbative BMN
(Berenstein-Maldacena-Nastase) scaling does not break down at four loops, or
beyond. We also discuss how the result gets modified if BMN scaling does break
down. Finally, we show that our result qualitatively agrees at strong coupling
with a prediction of string theory.
| [
{
"created": "Mon, 20 Mar 2006 20:43:00 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2006 17:44:13 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Nov 2006 20:51:57 GMT",
"version": "v3"
}
] | 2011-02-16 | [
[
"Eden",
"B.",
""
],
[
"Staudacher",
"M.",
""
]
] | We derive the two-loop Bethe ansatz for the sl(2) twist operator sector of N=4 gauge theory directly from the field theory. We then analyze a recently proposed perturbative asymptotic all-loop Bethe ansatz in the limit of large spacetime spin at large but finite twist, and find a novel all-loop scaling function. This function obeys the Kotikov-Lipatov transcendentality principle and does not depend on the twist. Under the assumption that one may extrapolate back to leading twist, our result yields an all-loop prediction for the large-spin anomalous dimensions of twist-two operators. The latter also appears as an undetermined function in a recent conjecture of Bern, Dixon and Smirnov for the all-loop structure of the maximally helicity violating (MHV) n-point gluon amplitudes of N=4 gauge theory. This potentially establishes a direct link between the worldsheet and the spacetime S-matrix approach. A further assumption for the validity of our prediction is that perturbative BMN (Berenstein-Maldacena-Nastase) scaling does not break down at four loops, or beyond. We also discuss how the result gets modified if BMN scaling does break down. Finally, we show that our result qualitatively agrees at strong coupling with a prediction of string theory. |
1705.06788 | Riccardo Argurio | Riccardo Argurio, Dries Coone, Lucien Heurtier, Alberto Mariotti | Sgoldstino-less inflation and low energy SUSY breaking | 40 pages, 4 figures. v2: minor clarifications added (as published in
JCAP) | null | 10.1088/1475-7516/2017/07/047 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We assess the range of validity of sgoldstino-less inflation in a scenario of
low energy supersymmetry breaking. We first analyze the consistency conditions
that an effective theory of the inflaton and goldstino superfields should
satisfy in order to be faithfully described by a sgoldstino-less model.
Enlarging the scope of previous studies, we investigate the case where the
effective field theory cut-off, and hence also the sgoldstino mass, are
inflaton-dependent. We then introduce a UV complete model where one can realize
successfully sgoldstino-less inflation and gauge mediation of supersymmetry
breaking, combining the alpha-attractor mechanism and a weakly coupled model of
spontaneous breaking of supersymmetry. In this class of models we find that,
given current limits on superpartner masses, the gravitino mass has a lower
bound of the order of the MeV, i.e. we cannot reach very low supersymmetry
breaking scales. On the plus side, we recognize that in this framework, one can
derive the complete superpartner spectrum as well as compute inflation
observables, the reheating temperature, and address the gravitino overabundance
problem. We then show that further constraints come from collider results and
inflation observables. Their non trivial interplay seems a staple feature of
phenomenological studies of supersymmetric inflationary models.
| [
{
"created": "Thu, 18 May 2017 20:25:49 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2017 14:27:22 GMT",
"version": "v2"
}
] | 2017-08-10 | [
[
"Argurio",
"Riccardo",
""
],
[
"Coone",
"Dries",
""
],
[
"Heurtier",
"Lucien",
""
],
[
"Mariotti",
"Alberto",
""
]
] | We assess the range of validity of sgoldstino-less inflation in a scenario of low energy supersymmetry breaking. We first analyze the consistency conditions that an effective theory of the inflaton and goldstino superfields should satisfy in order to be faithfully described by a sgoldstino-less model. Enlarging the scope of previous studies, we investigate the case where the effective field theory cut-off, and hence also the sgoldstino mass, are inflaton-dependent. We then introduce a UV complete model where one can realize successfully sgoldstino-less inflation and gauge mediation of supersymmetry breaking, combining the alpha-attractor mechanism and a weakly coupled model of spontaneous breaking of supersymmetry. In this class of models we find that, given current limits on superpartner masses, the gravitino mass has a lower bound of the order of the MeV, i.e. we cannot reach very low supersymmetry breaking scales. On the plus side, we recognize that in this framework, one can derive the complete superpartner spectrum as well as compute inflation observables, the reheating temperature, and address the gravitino overabundance problem. We then show that further constraints come from collider results and inflation observables. Their non trivial interplay seems a staple feature of phenomenological studies of supersymmetric inflationary models. |
hep-th/9708163 | Ivan Avramidi | Ivan G. Avramidi (University of Greifswald) and Giampiero Esposito
(INFN, University of Naples) | Lack of strong ellipticity in Euclidean quantum gravity | 14 pages, Plain Tex, 33 KB, no figures | Class.Quant.Grav. 15 (1998) 1141-1152 | 10.1088/0264-9381/15/5/006 | University of Greifswald (August, 1997); DSF 97/43 | hep-th | null | Recent work in Euclidean quantum gravity has studied boundary conditions
which are completely invariant under infinitesimal diffeomorphisms on metric
perturbations. On using the de Donder gauge-averaging functional, this scheme
leads to both normal and tangential derivatives in the boundary conditions. In
the present paper, it is proved that the corresponding boundary value problem
fails to be strongly elliptic. The result raises deep interpretative issues for
Euclidean quantum gravity on manifolds with boundary.
| [
{
"created": "Fri, 29 Aug 1997 11:12:05 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Avramidi",
"Ivan G.",
"",
"University of Greifswald"
],
[
"Esposito",
"Giampiero",
"",
"INFN, University of Naples"
]
] | Recent work in Euclidean quantum gravity has studied boundary conditions which are completely invariant under infinitesimal diffeomorphisms on metric perturbations. On using the de Donder gauge-averaging functional, this scheme leads to both normal and tangential derivatives in the boundary conditions. In the present paper, it is proved that the corresponding boundary value problem fails to be strongly elliptic. The result raises deep interpretative issues for Euclidean quantum gravity on manifolds with boundary. |
1201.4654 | Sayantani Bhattacharyya | Sayantani Bhattacharyya | Constraints on the second order transport coefficients of an uncharged
fluid | 43 pages | null | 10.1007/JHEP07(2012)104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we have tried to determine how the existence of a local entropy
current with non-negative divergence constrains the second order transport
coefficients of an uncharged fluid, following the procedure described in
\cite{Romatschke:2009kr}. Just on symmetry ground the stress tensor of an
uncharged fluid can have 15 transport coefficients at second order in
derivative expansion. The condition of entropy-increase gives five relations
among these 15 coefficients. So finally the relativistic stress tensor of an
uncharged fluid can have 10 independent transport coefficients at second order.
| [
{
"created": "Mon, 23 Jan 2012 09:21:39 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2012 07:31:47 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Bhattacharyya",
"Sayantani",
""
]
] | In this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid, following the procedure described in \cite{Romatschke:2009kr}. Just on symmetry ground the stress tensor of an uncharged fluid can have 15 transport coefficients at second order in derivative expansion. The condition of entropy-increase gives five relations among these 15 coefficients. So finally the relativistic stress tensor of an uncharged fluid can have 10 independent transport coefficients at second order. |
2107.02861 | John Morris | J.R. Morris | Radially symmetric scalar solitons | 20 pages, 4 figures | Phys. Rev. D 104, 016013 (2021) | 10.1103/PhysRevD.104.016013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A class of noncanonical effective potentials is introduced allowing stable,
radially symmetric, solutions to first order Bogomol'nyi equations for a real
scalar field in a fixed spacetime background. This class of effective
potentials generalizes those found previously by Bazeia, Menezes, and Menezes
[Phys.Rev.Lett. 91 (2003) 241601] for radially symmetric defects in a flat
spacetime. Use is made of the "on-shell method" introduced by Atmaja and
Ramadhan [Phys.Rev.D 90 (2014) 10, 105009] of reducing the second order
equation of motion to a first order one, along with a constraint equation. This
method and class of potentials admits radially symmetric, stable solutions for
four dimensional static, radially symmetric spacetimes. Stability against
radial fluctuations is established with a modified version of Derrick's
theorem, along with demonstrating that the radial stress vanishes. Several
examples of scalar field configurations are given.
| [
{
"created": "Tue, 6 Jul 2021 19:53:38 GMT",
"version": "v1"
}
] | 2021-07-20 | [
[
"Morris",
"J. R.",
""
]
] | A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomol'nyi equations for a real scalar field in a fixed spacetime background. This class of effective potentials generalizes those found previously by Bazeia, Menezes, and Menezes [Phys.Rev.Lett. 91 (2003) 241601] for radially symmetric defects in a flat spacetime. Use is made of the "on-shell method" introduced by Atmaja and Ramadhan [Phys.Rev.D 90 (2014) 10, 105009] of reducing the second order equation of motion to a first order one, along with a constraint equation. This method and class of potentials admits radially symmetric, stable solutions for four dimensional static, radially symmetric spacetimes. Stability against radial fluctuations is established with a modified version of Derrick's theorem, along with demonstrating that the radial stress vanishes. Several examples of scalar field configurations are given. |
hep-th/9601003 | Christof Schmidhuber | Christof Schmidhuber | D-brane actions | 15 pages, references/footnotes added; final version to appear in NPB | Nucl.Phys. B467 (1996) 146-158 | 10.1016/0550-3213(96)00092-2 | PUPT-1585 | hep-th | null | Effective world-brane actions for solitons of ten-dimensional type IIA and
IIB superstring theory are derived using the formulation of solitons as
Dirichlet branes. The one-brane actions are used to recover predictions of
SL(2,Z) strong-weak coupling duality. The two-brane action, which contains a
hidden eleventh target space coordinate, is shown to be the eleven-dimensional
supermembrane action. It can be thought of as the membrane action of
`M-theory'.
| [
{
"created": "Tue, 2 Jan 1996 18:36:10 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 1996 22:33:28 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Feb 1996 20:42:00 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Schmidhuber",
"Christof",
""
]
] | Effective world-brane actions for solitons of ten-dimensional type IIA and IIB superstring theory are derived using the formulation of solitons as Dirichlet branes. The one-brane actions are used to recover predictions of SL(2,Z) strong-weak coupling duality. The two-brane action, which contains a hidden eleventh target space coordinate, is shown to be the eleven-dimensional supermembrane action. It can be thought of as the membrane action of `M-theory'. |
2011.00871 | Suvajit Majumder | Heng-Yu Chen, Yang-Hui He, Shailesh Lal, Suvajit Majumder | Machine Learning Lie Structures & Applications to Physics | 6 pages, 7 figures | null | 10.1016/j.physletb.2021.136297 | null | hep-th cs.LG hep-ph math.RT stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical and exceptional Lie algebras and their representations are among
the most important tools in the analysis of symmetry in physical systems. In
this letter we show how the computation of tensor products and branching rules
of irreducible representations are machine-learnable, and can achieve relative
speed-ups of orders of magnitude in comparison to the non-ML algorithms.
| [
{
"created": "Mon, 2 Nov 2020 10:27:29 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 2021 18:47:26 GMT",
"version": "v2"
}
] | 2021-04-22 | [
[
"Chen",
"Heng-Yu",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Lal",
"Shailesh",
""
],
[
"Majumder",
"Suvajit",
""
]
] | Classical and exceptional Lie algebras and their representations are among the most important tools in the analysis of symmetry in physical systems. In this letter we show how the computation of tensor products and branching rules of irreducible representations are machine-learnable, and can achieve relative speed-ups of orders of magnitude in comparison to the non-ML algorithms. |
1106.5840 | Anindya Dey | Anindya Dey and Sonia Paban | Non-Gaussianities in the Cosmological Perturbation Spectrum due to
Primordial Anisotropy | 23 pages; discussion on "squeezed" triangle limit added, references
updated, expanded Appendix | null | 10.1088/1475-7516/2012/04/039 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate possible signatures of a pre-inflationary anisotropic phase in
two-point and three-point correlation functions of the curvature perturbation
for high-momentum modes which exit the horizon after isotropization. In this
momentum regime, the early time dynamics admits a WKB description and the late
time dynamics can be described in terms of a non-Bunch Davies vacuum state
which encodes the information of initial anisotropy in the background
spacetime. We compute the bi-spectrum for curvature perturbation in a canonical
single-field action with and without higher derivative operators. We show that
the bi-spectrum at late times, in either case, is enhanced for a flattened
triangle configuration as well as a squeezed triangle configuration and compute
the corresponding $f_{NL}$ parameters. The angular dependence and the
particular momentum dependence of the $f_{NL}$ parameter appear as distinctive
features of background anisotropy at early times.
| [
{
"created": "Wed, 29 Jun 2011 04:56:44 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2011 23:24:58 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Apr 2012 07:40:30 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Dey",
"Anindya",
""
],
[
"Paban",
"Sonia",
""
]
] | We investigate possible signatures of a pre-inflationary anisotropic phase in two-point and three-point correlation functions of the curvature perturbation for high-momentum modes which exit the horizon after isotropization. In this momentum regime, the early time dynamics admits a WKB description and the late time dynamics can be described in terms of a non-Bunch Davies vacuum state which encodes the information of initial anisotropy in the background spacetime. We compute the bi-spectrum for curvature perturbation in a canonical single-field action with and without higher derivative operators. We show that the bi-spectrum at late times, in either case, is enhanced for a flattened triangle configuration as well as a squeezed triangle configuration and compute the corresponding $f_{NL}$ parameters. The angular dependence and the particular momentum dependence of the $f_{NL}$ parameter appear as distinctive features of background anisotropy at early times. |
2009.12308 | Amir Raz | Andreas Karch and Amir Raz | Reduced Conformal Symmetry | Changes made to sections 1,2,and 5, in preparation for submission 14
pages, no figures | null | 10.1007/JHEP04(2021)182 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct field theories in $2+1$ dimensions with multiple conformal
symmetries acting on only one of the spatial directions. These can be
considered a conformal extension to "subsystem scale invariances", borrowing
the language often used for fractons.
| [
{
"created": "Fri, 25 Sep 2020 16:03:27 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Feb 2021 02:47:31 GMT",
"version": "v2"
}
] | 2021-05-05 | [
[
"Karch",
"Andreas",
""
],
[
"Raz",
"Amir",
""
]
] | We construct field theories in $2+1$ dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to "subsystem scale invariances", borrowing the language often used for fractons. |
1711.07941 | Jaewang Choi | Jaewang Choi, Takahiro Nishinaka | On the chiral algebra of Argyres-Douglas theories and S-duality | 25 pages, 2 figures | JHEP 04 (2018) 004 | 10.1007/JHEP04(2018)004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the two-dimensional chiral algebra associated with the simplest
Argyres-Douglas type theory with an exactly marginal coupling, i.e., the
$(A_3,A_3)$ theory. Near a cusp in the space of the exactly marginal
deformations (i.e., the conformal manifold), the theory is well-described by
the $SU(2)$ gauge theory coupled to isolated Argyres-Douglas theories and a
fundamental hypermultiplet. In this sense, the $(A_3,A_3)$ theory is an
Argyres-Douglas version of the $\mathcal{N}=2$ $SU(2)$ conformal QCD. By
studying its Higgs branch and Schur index, we identify the minimal possible set
of chiral algebra generators for the $(A_3,A_3)$ theory, and show that there is
a unique set of closed OPEs among these generators. The resulting OPEs are
consistent with the Schur index, Higgs branch chiral ring relations, and the
BRST cohomology conjecture. We then show that the automorphism group of the
chiral algebra we constructed contains a discrete group $G$ with an $S_3$
subgroup and a homomorphism $G\to S_4 \times {\bf Z}_2$. This result is
consistent with the S-duality of the $(A_3,A_3)$ theory.
| [
{
"created": "Tue, 21 Nov 2017 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Apr 2018 13:45:34 GMT",
"version": "v2"
}
] | 2018-04-17 | [
[
"Choi",
"Jaewang",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | We study the two-dimensional chiral algebra associated with the simplest Argyres-Douglas type theory with an exactly marginal coupling, i.e., the $(A_3,A_3)$ theory. Near a cusp in the space of the exactly marginal deformations (i.e., the conformal manifold), the theory is well-described by the $SU(2)$ gauge theory coupled to isolated Argyres-Douglas theories and a fundamental hypermultiplet. In this sense, the $(A_3,A_3)$ theory is an Argyres-Douglas version of the $\mathcal{N}=2$ $SU(2)$ conformal QCD. By studying its Higgs branch and Schur index, we identify the minimal possible set of chiral algebra generators for the $(A_3,A_3)$ theory, and show that there is a unique set of closed OPEs among these generators. The resulting OPEs are consistent with the Schur index, Higgs branch chiral ring relations, and the BRST cohomology conjecture. We then show that the automorphism group of the chiral algebra we constructed contains a discrete group $G$ with an $S_3$ subgroup and a homomorphism $G\to S_4 \times {\bf Z}_2$. This result is consistent with the S-duality of the $(A_3,A_3)$ theory. |
0711.4489 | Alexander Reshetnyak | Alexander A. Reshetnyak | On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian
BRST Approach | 5 pages, Contribution to Proceedings of the International Workshop
"Supersymmetries and Quantum Symmetries", Dubna, July, 30 - August, 4, 2007,
added reference | null | null | null | hep-th | null | A recent progress in a gauge-invariant Lagrangian description of massive and
massless half-integer higher-spin fields in AdS and Minkowski spaces is
presented. The procedure is based on a BFV-BRST operator, encoding the initial
conditions realized by constraints in a Fock space and extracting the
higher-spin fields from unitary irreducible representations of the AdS
(Poincare) group. The construction is applicable to higher-spin tensor fields
with a multi-row Young tableaux.
| [
{
"created": "Wed, 28 Nov 2007 12:58:30 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Dec 2007 12:02:14 GMT",
"version": "v2"
}
] | 2007-12-01 | [
[
"Reshetnyak",
"Alexander A.",
""
]
] | A recent progress in a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS and Minkowski spaces is presented. The procedure is based on a BFV-BRST operator, encoding the initial conditions realized by constraints in a Fock space and extracting the higher-spin fields from unitary irreducible representations of the AdS (Poincare) group. The construction is applicable to higher-spin tensor fields with a multi-row Young tableaux. |
hep-th/0607161 | Wung-Hong Huang | Wung-Hong Huang | Giant Magnons under NS-NS and Melvin Fields | Latex 20 pages, mention D-string and add references | JHEP0612:040,2006 | 10.1088/1126-6708/2006/12/040 | null | hep-th | null | The giant magnon is a rotating spiky string configuration which has the same
dispersion relation between the energy and angular momentum as that of a spin
magnon. In this paper we investigate the effects of the NS-NS and Melvin fields
on the giant magnon. We first analyze the energy and angular momenta of the
two-spin spiky D-string moving on the $AdS_3\times S^1$ with the NS-NS field.
Due to the infinite boundary of the AdS spacetime the D-string solution will
extend to infinity and it appears the divergences. After adding the counter
terms we obtain the dispersion relation of the corresponding giant magnon. The
result shows that there will appear a prefactor before the angular momentum, in
addition to some corrections in the sine function. We also see that the spiky
profile of a rotating D-string plays an important role in mapping it to a spin
magnon. We next investigate the energy and angular momentum of the one-spin
spiky fundamental string moving on the $R \times S^2$ with the electric or
magnetic Melvin field. The dispersion relation of the corresponding deformed
giant magnon is also obtained. We discuss some properties of the correction
terms and their relations to the spin chain with deformations.
| [
{
"created": "Mon, 24 Jul 2006 07:02:02 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2006 09:10:56 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Aug 2006 16:44:03 GMT",
"version": "v3"
},
{
"created": "Sat, 28 Oct 2006 00:50:13 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Huang",
"Wung-Hong",
""
]
] | The giant magnon is a rotating spiky string configuration which has the same dispersion relation between the energy and angular momentum as that of a spin magnon. In this paper we investigate the effects of the NS-NS and Melvin fields on the giant magnon. We first analyze the energy and angular momenta of the two-spin spiky D-string moving on the $AdS_3\times S^1$ with the NS-NS field. Due to the infinite boundary of the AdS spacetime the D-string solution will extend to infinity and it appears the divergences. After adding the counter terms we obtain the dispersion relation of the corresponding giant magnon. The result shows that there will appear a prefactor before the angular momentum, in addition to some corrections in the sine function. We also see that the spiky profile of a rotating D-string plays an important role in mapping it to a spin magnon. We next investigate the energy and angular momentum of the one-spin spiky fundamental string moving on the $R \times S^2$ with the electric or magnetic Melvin field. The dispersion relation of the corresponding deformed giant magnon is also obtained. We discuss some properties of the correction terms and their relations to the spin chain with deformations. |
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