id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9911104 | Soonkeon Nam | Soonkeon Nam (Harvard and Kyung Hee Univ.) | Modeling a network of brane worlds | 10 pages, TeX, (harvmac, big), corrected typos and added references | JHEP 0003:005,2000 | 10.1088/1126-6708/2000/03/005 | HUTP-99/A062 | hep-th hep-ph | null | We study junctions of supersymmetric domain walls in N=1 supergravity
theories in four dimensions, coupled to a chiral superfield with quartic
superpotential having $Z_3$ symmetry. After deriving a BPS equation of the
domain wall junction, we consider a stable hexagonal configuration of network
of brane junctions, which are only approximately locally BPS. We propose a
model for a mechanism of supersymmetry breaking without loss of stability,
where a messenger for the SUSY breaking comes from the neighboring anti-BPS
junction world, propagating along the domain walls connection them.
| [
{
"created": "Sat, 13 Nov 1999 21:58:57 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 1999 07:50:07 GMT",
"version": "v2"
}
] | 2010-02-05 | [
[
"Nam",
"Soonkeon",
"",
"Harvard and Kyung Hee Univ."
]
] | We study junctions of supersymmetric domain walls in N=1 supergravity theories in four dimensions, coupled to a chiral superfield with quartic superpotential having $Z_3$ symmetry. After deriving a BPS equation of the domain wall junction, we consider a stable hexagonal configuration of network of brane junctions, which are only approximately locally BPS. We propose a model for a mechanism of supersymmetry breaking without loss of stability, where a messenger for the SUSY breaking comes from the neighboring anti-BPS junction world, propagating along the domain walls connection them. |
hep-th/0210284 | Daniel Ursescu | M Tomaselli, L.C. Liu, T. Kuehl, W. Noertershaeuser, D. Ursescu, and
S. Fritzsche | Cluster Transformation Coefficients for Structure and Dynamics
Calculations in n-Particle Systems: Atoms, Nuclei, and Quarks | 13 pages, 5 figures, Wigner Proceedings for Conference Wigner
Centenial Pecs, July 8-12, 2002 | null | 10.1088/1464-4266/5/3/376 | null | hep-th | null | The structure and dynamics of an n-particle system are described with coupled
nonlinear Heisenberg's commutator equations where the nonlinear terms are
generated by the two-body interaction that excites the reference vacuum via
particle-particle and particle-hole excitations. Nonperturbative solutions of
the system are obtained with the use of dynamic linearization approximation and
cluster transformation coefficients. The dynamic linearization approximation
converts the commutator chain into an eigenvalue problem. The cluster
coefficients factorize the matrix elements of the (n)-particles or
particle-hole systems in terms of the matrix elements of the (n-1)-systems
coupled to a particle-particle, particle-hole, and hole-hole boson. Group
properties of the particle-particle, particle-hole, and hole-hole permutation
groups simplify the calculation of these coefficients. The particle-particle
vacuum-excitations generate superconductive diagrams in the dynamics of
3-quarks systems. Applications of the model to fermionic and bosonic systems
are discussed.
| [
{
"created": "Tue, 29 Oct 2002 17:40:52 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Tomaselli",
"M",
""
],
[
"Liu",
"L. C.",
""
],
[
"Kuehl",
"T.",
""
],
[
"Noertershaeuser",
"W.",
""
],
[
"Ursescu",
"D.",
""
],
[
"Fritzsche",
"S.",
""
]
] | The structure and dynamics of an n-particle system are described with coupled nonlinear Heisenberg's commutator equations where the nonlinear terms are generated by the two-body interaction that excites the reference vacuum via particle-particle and particle-hole excitations. Nonperturbative solutions of the system are obtained with the use of dynamic linearization approximation and cluster transformation coefficients. The dynamic linearization approximation converts the commutator chain into an eigenvalue problem. The cluster coefficients factorize the matrix elements of the (n)-particles or particle-hole systems in terms of the matrix elements of the (n-1)-systems coupled to a particle-particle, particle-hole, and hole-hole boson. Group properties of the particle-particle, particle-hole, and hole-hole permutation groups simplify the calculation of these coefficients. The particle-particle vacuum-excitations generate superconductive diagrams in the dynamics of 3-quarks systems. Applications of the model to fermionic and bosonic systems are discussed. |
hep-th/0106234 | Costas Bachas | C. Bachas (ENS, Paris) | D-branes in some near-horizon geometries | 11 pages, Latex, 2 eps figures, uses JHEP.cls | null | null | null | hep-th | null | I review some properties of D-branes in the SU(2) and SL(2,R) WZW models. I
comment on a potential difficulty for the realization of `warped brane worlds'
in string theory. This short note is based on a talk given at the Strings'01
conference in Mumbay.
| [
{
"created": "Mon, 25 Jun 2001 20:42:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bachas",
"C.",
"",
"ENS, Paris"
]
] | I review some properties of D-branes in the SU(2) and SL(2,R) WZW models. I comment on a potential difficulty for the realization of `warped brane worlds' in string theory. This short note is based on a talk given at the Strings'01 conference in Mumbay. |
1506.06512 | Yang Zhou | Yang Zhou | Universal Features of Four-Dimensional Superconformal Field Theory on
Conic Space | 1+32 pages | JHEP 1508:052,2015 | 10.1007/JHEP08(2015)052 | TAUP-2996/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field
theories in conic spaces. We show that the universal part of supersymmetric
R\'enyi entropy S_q across a spherical entangling surface in the limit q goes
to 0 is proportional to a linear combination of central charges, 3c-2a. This is
equivalent to a similar statement about the free energy of SCFTs on conic space
or hyperbolic space S^1_q*H^3 in the corresponding limit. We first derive the
asymptotic formula by the free field computation in the presence of a U(1)
R-symmetry background and then provide an independent derivation by studying
N=1 theories on a primary Hopf surface S^1_\beta*S^3_b with a particular
scaling \beta~1/\sqrt{q} and b=\sqrt{q}, which thus confirms the validity of
the formula for general interacting N=1 SCFTs. Finally we revisit the
supersymmetric R\'enyi entropy of general N=2 SCFTs and find a simple formula
for it in terms of central charges a and c.
| [
{
"created": "Mon, 22 Jun 2015 09:07:19 GMT",
"version": "v1"
}
] | 2015-08-14 | [
[
"Zhou",
"Yang",
""
]
] | Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field theories in conic spaces. We show that the universal part of supersymmetric R\'enyi entropy S_q across a spherical entangling surface in the limit q goes to 0 is proportional to a linear combination of central charges, 3c-2a. This is equivalent to a similar statement about the free energy of SCFTs on conic space or hyperbolic space S^1_q*H^3 in the corresponding limit. We first derive the asymptotic formula by the free field computation in the presence of a U(1) R-symmetry background and then provide an independent derivation by studying N=1 theories on a primary Hopf surface S^1_\beta*S^3_b with a particular scaling \beta~1/\sqrt{q} and b=\sqrt{q}, which thus confirms the validity of the formula for general interacting N=1 SCFTs. Finally we revisit the supersymmetric R\'enyi entropy of general N=2 SCFTs and find a simple formula for it in terms of central charges a and c. |
1908.05247 | Shai Chester | Shai M. Chester | Genus-2 Holographic Correlator on $AdS_5 \times S^5$ from Localization | 26 pages plus appendices, 1 figure, v4 typos corrected | null | 10.1007/JHEP04(2020)193 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the four-point function of the stress tensor multiplet
superprimary in $\mathcal{N}=4$ super-Yang-Mills (SYM) with gauge group $SU(N)$
in the large $N$ and large 't Hooft coupling $\lambda\equiv g_\text{YM}^2N$
limit, which is holographically dual to the genus expansion of IIB string
theory on $AdS_5\times S^5$. In \cite{Binder:2019jwn} it was shown that the
integral of this correlator is related to derivatives of the mass deformed
$\mathcal{N}=2^*$ sphere free energy, which was computed using supersymmetric
localization to leading order in $1/N^2$ for finite $\lambda$. We generalize
this computation to any order in $1/N^2$ for finite $\lambda$ using topological
recursion, and use this any order constraint to fix the $R^4$ correction to the
holographic correlator to any order in the genus expansion. We also use it to
complete the derivation of the 1-loop supergravity correction, and show that
analyticity in spin fails at zero spin in the large $N$ expansion as predicted
from the Lorentzian inversion formula. In the flat space limit, the $R^4$ term
in the holographic correlator matches that of the IIB S-matrix in 10d, which is
a precise check of AdS$_5$/CFT$_4$ for local operators at genus-one. Using the
flat space limit and localization we then fix $D^4R^4$ in the holographic
correlator to any order in the genus expansion, which is nontrivial at
genus-two, i.e. $1/N^6$. This is the first result at two orders beyond the
planar limit at strong coupling for a holographic correlator.
| [
{
"created": "Wed, 14 Aug 2019 17:12:16 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2019 13:33:39 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Mar 2020 17:58:27 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Oct 2021 10:34:34 GMT",
"version": "v4"
}
] | 2021-10-26 | [
[
"Chester",
"Shai M.",
""
]
] | We consider the four-point function of the stress tensor multiplet superprimary in $\mathcal{N}=4$ super-Yang-Mills (SYM) with gauge group $SU(N)$ in the large $N$ and large 't Hooft coupling $\lambda\equiv g_\text{YM}^2N$ limit, which is holographically dual to the genus expansion of IIB string theory on $AdS_5\times S^5$. In \cite{Binder:2019jwn} it was shown that the integral of this correlator is related to derivatives of the mass deformed $\mathcal{N}=2^*$ sphere free energy, which was computed using supersymmetric localization to leading order in $1/N^2$ for finite $\lambda$. We generalize this computation to any order in $1/N^2$ for finite $\lambda$ using topological recursion, and use this any order constraint to fix the $R^4$ correction to the holographic correlator to any order in the genus expansion. We also use it to complete the derivation of the 1-loop supergravity correction, and show that analyticity in spin fails at zero spin in the large $N$ expansion as predicted from the Lorentzian inversion formula. In the flat space limit, the $R^4$ term in the holographic correlator matches that of the IIB S-matrix in 10d, which is a precise check of AdS$_5$/CFT$_4$ for local operators at genus-one. Using the flat space limit and localization we then fix $D^4R^4$ in the holographic correlator to any order in the genus expansion, which is nontrivial at genus-two, i.e. $1/N^6$. This is the first result at two orders beyond the planar limit at strong coupling for a holographic correlator. |
2209.07387 | Ahsan Khan | Ahsan Z. Khan | Holomorphic Surface Defects in Four-Dimensional Chern-Simons Theory | 41 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the framing anomaly of four-dimensional holomorphic-topological
Chern-Simons theory formulated on the product of a topological surface and the
complex plane. We show that the presence of this anomaly allows one to couple
four-dimensional Chern-Simons theory to holomorphic field theories with
Kac-Moody symmetry, where the Kac-Moody level $k$ is critical $k=-h^{\vee}$.
Applying this result to a holomorphic sigma model into a complex coadjoint
orbit, we derive that four-dimensional Chern-Simons theory admits holomorphic
monodromy defects.
| [
{
"created": "Thu, 15 Sep 2022 15:51:54 GMT",
"version": "v1"
}
] | 2022-09-16 | [
[
"Khan",
"Ahsan Z.",
""
]
] | We derive the framing anomaly of four-dimensional holomorphic-topological Chern-Simons theory formulated on the product of a topological surface and the complex plane. We show that the presence of this anomaly allows one to couple four-dimensional Chern-Simons theory to holomorphic field theories with Kac-Moody symmetry, where the Kac-Moody level $k$ is critical $k=-h^{\vee}$. Applying this result to a holomorphic sigma model into a complex coadjoint orbit, we derive that four-dimensional Chern-Simons theory admits holomorphic monodromy defects. |
1611.10151 | Behzad Eslam Panah | B. Eslam Panah, S. Panahiyan and S. H. Hendi | Entropy spectrum of charged BTZ black holes in massive gravity's rainbow | 11 pages, 1 figure | PTEP 2019, 013E02 (2019) | 10.1093/ptep/pty143 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Regarding the significant interests in massive gravity and combining it with
gravity's rainbow and also BTZ black holes, we apply the formalism introduced
by Jiang and Han in order to investigate the quantization of the entropy of
black holes. We show that the entropy of BTZ black holes in massive gravity's
rainbow is quantized with equally spaced spectra and it depends on the black
holes' properties including massive parameters, electrical charge, the
cosmological constant and also rainbow functions. In addition, we show that
quantization of the entropy results into the appearance of novel properties for
this quantity such as; the existence of divergencies, non-zero entropy in
vanishing horizon radius and possibility of tracing out the effects of black
holes' properties. Such properties are absent in the non-quantized version of
these black holes' entropy. Furthermore, we investigate the effects of
quantization on the thermodynamical behavior of the solutions. We confirm that
due to quantization, novel phase transitions points are introduced and stable
solutions are limited to only dS black holes (AdS and asymptotically flat
solutions are unstable).
| [
{
"created": "Fri, 18 Nov 2016 16:55:58 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jun 2018 18:57:14 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Jan 2019 07:37:30 GMT",
"version": "v3"
}
] | 2019-01-28 | [
[
"Panah",
"B. Eslam",
""
],
[
"Panahiyan",
"S.",
""
],
[
"Hendi",
"S. H.",
""
]
] | Regarding the significant interests in massive gravity and combining it with gravity's rainbow and also BTZ black holes, we apply the formalism introduced by Jiang and Han in order to investigate the quantization of the entropy of black holes. We show that the entropy of BTZ black holes in massive gravity's rainbow is quantized with equally spaced spectra and it depends on the black holes' properties including massive parameters, electrical charge, the cosmological constant and also rainbow functions. In addition, we show that quantization of the entropy results into the appearance of novel properties for this quantity such as; the existence of divergencies, non-zero entropy in vanishing horizon radius and possibility of tracing out the effects of black holes' properties. Such properties are absent in the non-quantized version of these black holes' entropy. Furthermore, we investigate the effects of quantization on the thermodynamical behavior of the solutions. We confirm that due to quantization, novel phase transitions points are introduced and stable solutions are limited to only dS black holes (AdS and asymptotically flat solutions are unstable). |
hep-th/0511003 | Dr. Bikash Chandra Paul | B. C. Paul and Dilip Paul | Primordial Black Hole Pair Creation Probability in Modified
Gravitational Theory | 17 pages, no figure | Phys.Rev.D74:084015,2006 | 10.1103/PhysRevD.74.084015 | null | hep-th | null | The probability for quantum creation of an inflationary universe with a pair
of black holes is computed in a modified gravitational theory. Considering a
gravitational action which includes a cosmological constant ($\Lambda$) in
addition to $ \alpha R^{2} $ and $ \delta R^{-1}$ terms, the probabilities have
been evaluated for two different kinds of spatial sections, one accommodating a
pair of black holes and the other without black hole. We adopt a technique
prescribed by Bousso and Hawking to calculate the above creation probability in
a semiclassical approximation with Hartle-Hawking boundary condition. Depending
on the parameters in the action some new and physically interesting instanton
solutions are presented here which may play an important role in the creation
of the early universe. We note that the probability of creation of a universe
with a pair of black holes is strongly suppressed with a positive cosmological
constant when $\delta = \frac{4 \Lambda^{2}}{3}$ for $\alpha > 0$ but it is
more probable for $\alpha < - \frac{1}{6 \Lambda}$. It is also found that
instanton solutions are allowed without a cosmological constant in the theory
provided $\delta < 0$.
| [
{
"created": "Tue, 1 Nov 2005 04:47:20 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Paul",
"B. C.",
""
],
[
"Paul",
"Dilip",
""
]
] | The probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to $ \alpha R^{2} $ and $ \delta R^{-1}$ terms, the probabilities have been evaluated for two different kinds of spatial sections, one accommodating a pair of black holes and the other without black hole. We adopt a technique prescribed by Bousso and Hawking to calculate the above creation probability in a semiclassical approximation with Hartle-Hawking boundary condition. Depending on the parameters in the action some new and physically interesting instanton solutions are presented here which may play an important role in the creation of the early universe. We note that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant when $\delta = \frac{4 \Lambda^{2}}{3}$ for $\alpha > 0$ but it is more probable for $\alpha < - \frac{1}{6 \Lambda}$. It is also found that instanton solutions are allowed without a cosmological constant in the theory provided $\delta < 0$. |
0711.0176 | Tom Brown | T.W. Brown, P.J. Heslop, S. Ramgoolam | Diagonal multi-matrix correlators and BPS operators in N=4 SYM | 36+12 pages, 7 figures, typos corrected, references added | JHEP 0802:030,2008 | 10.1088/1126-6708/2008/02/030 | QMUL-PH-07-23 | hep-th cond-mat.stat-mech math.RT | null | We present a complete basis of multi-trace multi-matrix operators that has a
diagonal two point function for the free matrix field theory at finite N. This
generalises to multiple matrices the single matrix diagonalisation by Schur
polynomials. Crucially, it involves intertwining the gauge group U(N) and the
global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups
S_n. When applied to N=4 super Yang-Mills we consider the U(3) subgroup of the
full symmetry group. The diagonalisation allows the description of a dual basis
to multi-traces, which permits the characterisation of the metric on operators
transforming in short representations at weak coupling. This gives a framework
for the comparison of quarter and eighth-BPS giant gravitons of AdS_5 x S^5
spacetime to gauge invariant operators of the dual N=4 SYM.
| [
{
"created": "Thu, 1 Nov 2007 18:03:55 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2007 13:57:17 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Feb 2008 18:43:33 GMT",
"version": "v3"
}
] | 2009-01-16 | [
[
"Brown",
"T. W.",
""
],
[
"Heslop",
"P. J.",
""
],
[
"Ramgoolam",
"S.",
""
]
] | We present a complete basis of multi-trace multi-matrix operators that has a diagonal two point function for the free matrix field theory at finite N. This generalises to multiple matrices the single matrix diagonalisation by Schur polynomials. Crucially, it involves intertwining the gauge group U(N) and the global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups S_n. When applied to N=4 super Yang-Mills we consider the U(3) subgroup of the full symmetry group. The diagonalisation allows the description of a dual basis to multi-traces, which permits the characterisation of the metric on operators transforming in short representations at weak coupling. This gives a framework for the comparison of quarter and eighth-BPS giant gravitons of AdS_5 x S^5 spacetime to gauge invariant operators of the dual N=4 SYM. |
1604.01888 | Peter M. Lavrov | Igor A. Batalin, Peter M. Lavrov | Closed description of arbitrariness in resolving quantum master equation | 13 pages, v2: Section 2 extended, misprint corrected, references
added, formula on page 7 corrected, new formula (4.30) and a phrase on it
inserted, v3: misprints in formulas (2.12), (4.23), (4.36)-(4.39) corrected,
v4: formulae (A.8), (A.11), (A.12) added, v5:published version | Phys. Lett. B 758 (2016) 54-58 | 10.1016/j.physletb.2016.04.047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the most general case of the Delta exact operator valued generators
constructed of an arbitrary Fermion operator, we present a closed solution for
the transformed master action in terms of the original master action in the
closed form of the corresponding path integral. We show in detail how that path
integral reduces to the known result in the case of being the Delta exact
generators constructed of an arbitrary Fermion function.
| [
{
"created": "Thu, 7 Apr 2016 06:42:39 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2016 11:35:46 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Apr 2016 17:06:06 GMT",
"version": "v3"
},
{
"created": "Tue, 19 Apr 2016 07:53:36 GMT",
"version": "v4"
},
{
"cr... | 2016-05-06 | [
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
]
] | In the most general case of the Delta exact operator valued generators constructed of an arbitrary Fermion operator, we present a closed solution for the transformed master action in terms of the original master action in the closed form of the corresponding path integral. We show in detail how that path integral reduces to the known result in the case of being the Delta exact generators constructed of an arbitrary Fermion function. |
1811.01022 | Shahar Hadar | Shahar Hadar | Near-extremal black holes at late times, backreacted | v2: published version | null | 10.1007/JHEP01(2019)214 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black holes display universal behavior near extremality. One such feature is
the late-time blowup of derivatives of linearized perturbations across the
horizon. For generic initial data, this instability is regulated by
backreaction, and the final state is a near-extremal black hole. The aim of
this paper is to study the late time behavior of such black holes analytically
using the weakly broken conformal symmetry of their near-horizon region. In
particular, gravitational backreaction is accounted for within the
Jackiw-Teitelboim model for near-horizon, near-extremal dynamics coupled to
bulk matter.
| [
{
"created": "Fri, 2 Nov 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Jan 2019 22:38:28 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Hadar",
"Shahar",
""
]
] | Black holes display universal behavior near extremality. One such feature is the late-time blowup of derivatives of linearized perturbations across the horizon. For generic initial data, this instability is regulated by backreaction, and the final state is a near-extremal black hole. The aim of this paper is to study the late time behavior of such black holes analytically using the weakly broken conformal symmetry of their near-horizon region. In particular, gravitational backreaction is accounted for within the Jackiw-Teitelboim model for near-horizon, near-extremal dynamics coupled to bulk matter. |
hep-th/0007031 | Carlos Castro | Carlos Castro | Remarks on the existence of Spinning Membrane Actions | 35 page, revised Tex file. Correction of minor typos and an one
reference is added | null | null | null | hep-th | null | It has been recently argued by some authors that is impossible to construct a
Weyl invariant spinning membrane action, where the $S$-supersymmetry associated
with the 3D superconformal algebra, is relinquished without gauge fixing.
Contrary to those assertions, we show why it is possible to construct a
Weyl-invariant spinning polynomial membrane action, without curvature
terms,where $both$ the conformal boost symmetry and $S$-supersymmetry are
explicitly broken by the action. It is shown that the gauge algebra $closes$
despite that the two latter symmetries are broken . For this to happen, a
modifed $Q$-supersymmetry transformation, a sort of new $Q+K+S$ ``sum `` rule,
is required that generates the compensating terms to cancel the spurious
contributions fromthe $S$ and conformal boost anomalous transformations. A
substantial discussion of the quantization of the spinning membrane and
anomalies is given. We review briefly the role that this spinning membrane
action may have in the theory of $D$-branes, Skyrmions and BPS monopoles in the
large $N$-limit of SU(N) Yang-Mills .
| [
{
"created": "Tue, 4 Jul 2000 21:57:10 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 2000 15:29:56 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 2000 19:32:09 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Nov 2000 17:20:54 GMT",
"version": "v4"
},
{
"creat... | 2007-05-23 | [
[
"Castro",
"Carlos",
""
]
] | It has been recently argued by some authors that is impossible to construct a Weyl invariant spinning membrane action, where the $S$-supersymmetry associated with the 3D superconformal algebra, is relinquished without gauge fixing. Contrary to those assertions, we show why it is possible to construct a Weyl-invariant spinning polynomial membrane action, without curvature terms,where $both$ the conformal boost symmetry and $S$-supersymmetry are explicitly broken by the action. It is shown that the gauge algebra $closes$ despite that the two latter symmetries are broken . For this to happen, a modifed $Q$-supersymmetry transformation, a sort of new $Q+K+S$ ``sum `` rule, is required that generates the compensating terms to cancel the spurious contributions fromthe $S$ and conformal boost anomalous transformations. A substantial discussion of the quantization of the spinning membrane and anomalies is given. We review briefly the role that this spinning membrane action may have in the theory of $D$-branes, Skyrmions and BPS monopoles in the large $N$-limit of SU(N) Yang-Mills . |
1706.01196 | Sitender Kashyap | Subhroneel Chakrabarti, Sitender Pratap Kashyap, Mritunjay Verma | Theta Expansion of First Massive Vertex Operator in Pure Spinor | 32 pages | null | 10.1007/JHEP01(2018)019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the covariant superspace equations that are sufficient to
determine the complete $\theta$ expansion of the vertex operator of the open
string massive states with $(mass)^2=1/\alpha'$ in pure spinor formalism of
superstring theory. These equations get rid of the redundant degrees of freedom
in superfields and are consistent with the BRST conditions derived in [1].
Further, we give the explicit $\theta$ expansion of the superfields appearing
in the unintegrated vertex to $O(\theta^3)$. Finally, we compute the
contribution to a 3-point tree amplitude with the resulting vertex operator
upto $O(\theta^3)$ and find its kinematic structure to be identical to the
corresponding RNS computation.
| [
{
"created": "Mon, 5 Jun 2017 05:44:54 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Chakrabarti",
"Subhroneel",
""
],
[
"Kashyap",
"Sitender Pratap",
""
],
[
"Verma",
"Mritunjay",
""
]
] | We provide the covariant superspace equations that are sufficient to determine the complete $\theta$ expansion of the vertex operator of the open string massive states with $(mass)^2=1/\alpha'$ in pure spinor formalism of superstring theory. These equations get rid of the redundant degrees of freedom in superfields and are consistent with the BRST conditions derived in [1]. Further, we give the explicit $\theta$ expansion of the superfields appearing in the unintegrated vertex to $O(\theta^3)$. Finally, we compute the contribution to a 3-point tree amplitude with the resulting vertex operator upto $O(\theta^3)$ and find its kinematic structure to be identical to the corresponding RNS computation. |
2002.08827 | Sebastian Lautz | Sebastian Lautz | Geometrical Aspects of AdS/CFT | 203 pages, 1 figure, PhD thesis, King's College London. Includes
results from arXiv:1711.08280, arXiv:1803.08428, and arXiv:1807.01783 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we investigate all warped AdS$_4$ and AdS$_3$ backgrounds
with the most general allowed fluxes that preserve more than 16 supersymmetries
in 10- and 11-dimensional supergravities. Assuming either that the internal
manifold is compact without boundary or that the isometry algebra of the
background decomposes into that of AdS and that of the transverse space, we
find that there are no AdS$_4$ backgrounds in IIB supergravity. Similarly, we
find a unique such background with 24 supersymmetries in IIA supergravity,
locally isometric to $AdS_4\times \mathbb{CP}^3$. In 11-dimensional
supergravity all more than half BPS AdS backgrounds are shown to be locally
isometric to the maximally supersymmetric $AdS_4\times S^7$ solution.
Furthermore, we prove a non-existence theorem for AdS$_3$ solutions preserving
more than 16 supersymmetries. Finally, we demonstrate that warped Minkowski
space backgrounds of the form $\mathbb{R}^{n-1,1}\times_w M^{D-n}$ ($n\geq
3,D=10,11$) in 11-dimensional and type II supergravities preserving strictly
more than 16 supersymmetries and with fields, which may not be smooth
everywhere, are locally isometric to the Minkowski vacuum $\mathbb{R}^{D-1,1}$.
In particular, all such flux compactification vacua of these theories have the
same local geometry as the maximally supersymmetric vacuum
$\mathbb{R}^{n-1,1}\times T^{d-n}$.
| [
{
"created": "Thu, 20 Feb 2020 16:07:11 GMT",
"version": "v1"
}
] | 2020-02-21 | [
[
"Lautz",
"Sebastian",
""
]
] | In this thesis, we investigate all warped AdS$_4$ and AdS$_3$ backgrounds with the most general allowed fluxes that preserve more than 16 supersymmetries in 10- and 11-dimensional supergravities. Assuming either that the internal manifold is compact without boundary or that the isometry algebra of the background decomposes into that of AdS and that of the transverse space, we find that there are no AdS$_4$ backgrounds in IIB supergravity. Similarly, we find a unique such background with 24 supersymmetries in IIA supergravity, locally isometric to $AdS_4\times \mathbb{CP}^3$. In 11-dimensional supergravity all more than half BPS AdS backgrounds are shown to be locally isometric to the maximally supersymmetric $AdS_4\times S^7$ solution. Furthermore, we prove a non-existence theorem for AdS$_3$ solutions preserving more than 16 supersymmetries. Finally, we demonstrate that warped Minkowski space backgrounds of the form $\mathbb{R}^{n-1,1}\times_w M^{D-n}$ ($n\geq 3,D=10,11$) in 11-dimensional and type II supergravities preserving strictly more than 16 supersymmetries and with fields, which may not be smooth everywhere, are locally isometric to the Minkowski vacuum $\mathbb{R}^{D-1,1}$. In particular, all such flux compactification vacua of these theories have the same local geometry as the maximally supersymmetric vacuum $\mathbb{R}^{n-1,1}\times T^{d-n}$. |
hep-th/9508127 | Mauri Miettinen | Mauri Miettinen (Uppsala University) | On Localization and Regularization | 15 pages, LaTeX | J.Math.Phys. 37 (1996) 3141-3152 | 10.1063/1.531561 | UU-ITP 14-1995 | hep-th | null | Different regularizations are studied in localization of path integrals. We
discuss the effect of the choice of regularization by evaluating the partition
functions for the harmonic oscillator and the Weyl character for SU(2). In
particular, we solve the Weyl shift problem that arises in path integral
evaluation of the Weyl character by using the Atiyah-Patodi-Singer
$\eta$-invariant and the Borel-Weil theory.
| [
{
"created": "Thu, 24 Aug 1995 19:18:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Miettinen",
"Mauri",
"",
"Uppsala University"
]
] | Different regularizations are studied in localization of path integrals. We discuss the effect of the choice of regularization by evaluating the partition functions for the harmonic oscillator and the Weyl character for SU(2). In particular, we solve the Weyl shift problem that arises in path integral evaluation of the Weyl character by using the Atiyah-Patodi-Singer $\eta$-invariant and the Borel-Weil theory. |
1606.07330 | Minxin Huang | Kaiwen Sun, Xin Wang, Min-xin Huang | Exact Quantization Conditions, Toric Calabi-Yau and Nonperturbative
Topological String | 91 pages, 14 figures, v2: journal version, some small corrections | Journal of High Energy Physics, 2017(1), 1-102 | 10.1007/JHEP01(2017)061 | USTC-ICTS-16-12 | hep-th math-ph math.MP math.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish the precise relation between the Nekrasov-Shatashvili (NS)
quantization scheme and Grassi-Hatsuda-Marino conjecture for the mirror curve
of arbitrary toric Calabi-Yau threefold. For a mirror curve of genus $g$, the
NS quantization scheme leads to $g$ quantization conditions for the
corresponding integrable system. The exact NS quantization conditions enjoy a
self S-duality with respect to Planck constant $\hbar$ and can be derived from
the Lockhart-Vafa partition function of nonperturbative topological string.
Based on a recent observation on the correspondence between spectral theory and
topological string, another quantization scheme was proposed by
Grassi-Hatsuda-Marino, in which there is a single quantization condition and
the spectra are encoded in the vanishing of a quantum Riemann theta function.
We demonstrate that there actually exist at least $g$ nonequivalent quantum
Riemann theta functions and the intersections of their theta divisors coincide
with the spectra determined by the exact NS quantization conditions. This
highly nontrivial coincidence between the two quantization schemes requires
infinite constraints among the refined Gopakumar-Vafa invariants. The
equivalence for mirror curves of genus one has been verified for some local del
Pezzo surfaces. In this paper, we generalize the correspondence to higher
genus, and analyze in detail the resolved $\mathbb{C}^3/\mathbb{Z}_5$ orbifold
and several $SU(N)$ geometries. We also give a proof for some models at
$\hbar=2\pi/k$.
| [
{
"created": "Thu, 23 Jun 2016 14:35:03 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jan 2017 14:42:48 GMT",
"version": "v2"
}
] | 2017-01-24 | [
[
"Sun",
"Kaiwen",
""
],
[
"Wang",
"Xin",
""
],
[
"Huang",
"Min-xin",
""
]
] | We establish the precise relation between the Nekrasov-Shatashvili (NS) quantization scheme and Grassi-Hatsuda-Marino conjecture for the mirror curve of arbitrary toric Calabi-Yau threefold. For a mirror curve of genus $g$, the NS quantization scheme leads to $g$ quantization conditions for the corresponding integrable system. The exact NS quantization conditions enjoy a self S-duality with respect to Planck constant $\hbar$ and can be derived from the Lockhart-Vafa partition function of nonperturbative topological string. Based on a recent observation on the correspondence between spectral theory and topological string, another quantization scheme was proposed by Grassi-Hatsuda-Marino, in which there is a single quantization condition and the spectra are encoded in the vanishing of a quantum Riemann theta function. We demonstrate that there actually exist at least $g$ nonequivalent quantum Riemann theta functions and the intersections of their theta divisors coincide with the spectra determined by the exact NS quantization conditions. This highly nontrivial coincidence between the two quantization schemes requires infinite constraints among the refined Gopakumar-Vafa invariants. The equivalence for mirror curves of genus one has been verified for some local del Pezzo surfaces. In this paper, we generalize the correspondence to higher genus, and analyze in detail the resolved $\mathbb{C}^3/\mathbb{Z}_5$ orbifold and several $SU(N)$ geometries. We also give a proof for some models at $\hbar=2\pi/k$. |
hep-th/0511053 | Diego Pavon | Diego Pavon and Winfried Zimdahl | Holographic Dark Energy and Present Cosmic Acceleration | 6 pages. To appear in the Proceedings of the XXVIII Spanish
Relativity Meeting. Key words: Cosmology, Holography, Late accelerated
expansion, Dark energy | AIPConf.Proc.841:356-361,2006 | 10.1063/1.2218192 | null | hep-th astro-ph gr-qc hep-ph | null | We review the notion of holographic dark energy and assess its significance
in the light of the well documented cosmic acceleration at the present time. We
next propose a model of holographic dark energy in which the infrared cutoff is
set by the Hubble scale. The model accounts for the aforesaid acceleration and,
by construction, is free of the cosmic coincidence problem.
| [
{
"created": "Fri, 4 Nov 2005 10:32:59 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Pavon",
"Diego",
""
],
[
"Zimdahl",
"Winfried",
""
]
] | We review the notion of holographic dark energy and assess its significance in the light of the well documented cosmic acceleration at the present time. We next propose a model of holographic dark energy in which the infrared cutoff is set by the Hubble scale. The model accounts for the aforesaid acceleration and, by construction, is free of the cosmic coincidence problem. |
hep-th/0604107 | Tianjun Li | Ching-Ming Chen, Tianjun Li, Dimitri V. Nanopoulos | Flipped and Unflipped SU(5) as Type IIA Flux Vacua | RevTex4, 34 pages, 17 tables | Nucl.Phys.B751:260-284,2006 | 10.1016/j.nuclphysb.2006.06.011 | ACT-03-06, MIFP-06-09 | hep-th hep-ph | null | On Type IIA orientifolds with flux compactifications in supersymmetric AdS
vacua, we for the first time construct SU(5) models with three anti-symmetric
{\bf 10} representations and without symmetric {\bf 15} representations. We
show that all the pairs of the anti-fundamental {\bf \bar 5} and fundamental
{\bf 5} representations can obtain GUT/string-scale vector-like masses after
the additional gauge symmetry breaking via supersymmetry preserving Higgs
mechanism. Then we have exact three {\bf \bar 5}, and no other chiral exotic
particles that are charged under SU(5) due to the non-abelian anomaly free
condition. Moreover, we can break the SU(5) gauge symmetry down to the SM gauge
symmetry via D6-brane splitting, and solve the doublet-triplet splitting
problem. Assuming that the extra one (or several) pair(s) of Higgs doublets and
adjoint particles obtain GUT/string-scale masses via high-dimensional
operators, we only have the MSSM in the observable sector below the GUT scale.
Then the observed low energy gauge couplings can be generated via RGE running
if we choose the suitable grand unified gauge coupling by adjusting the string
scale. Furthermore, we construct the first flipped SU(5) model with exact three
{\bf 10}, and the first flipped SU(5) model in which all the Yukawa couplings
are allowed by the global U(1) symmetries.
| [
{
"created": "Fri, 14 Apr 2006 20:35:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chen",
"Ching-Ming",
""
],
[
"Li",
"Tianjun",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
]
] | On Type IIA orientifolds with flux compactifications in supersymmetric AdS vacua, we for the first time construct SU(5) models with three anti-symmetric {\bf 10} representations and without symmetric {\bf 15} representations. We show that all the pairs of the anti-fundamental {\bf \bar 5} and fundamental {\bf 5} representations can obtain GUT/string-scale vector-like masses after the additional gauge symmetry breaking via supersymmetry preserving Higgs mechanism. Then we have exact three {\bf \bar 5}, and no other chiral exotic particles that are charged under SU(5) due to the non-abelian anomaly free condition. Moreover, we can break the SU(5) gauge symmetry down to the SM gauge symmetry via D6-brane splitting, and solve the doublet-triplet splitting problem. Assuming that the extra one (or several) pair(s) of Higgs doublets and adjoint particles obtain GUT/string-scale masses via high-dimensional operators, we only have the MSSM in the observable sector below the GUT scale. Then the observed low energy gauge couplings can be generated via RGE running if we choose the suitable grand unified gauge coupling by adjusting the string scale. Furthermore, we construct the first flipped SU(5) model with exact three {\bf 10}, and the first flipped SU(5) model in which all the Yukawa couplings are allowed by the global U(1) symmetries. |
0705.2768 | Joe Polchinski | Nima Arkani-Hamed, Jacopo Orgera, Joseph Polchinski | Euclidean Wormholes in String Theory | 18 pages. ver. 2: typos corrected, references added | JHEP 0712:018,2007 | 10.1088/1126-6708/2007/12/018 | null | hep-th | null | We show that toroidal compactification of type II string theory to six
dimensions admits axionic euclidean wormhole solutions. These wormholes can be
inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a
well-defined CFT dual. AdS/CFT duality then suggests that the wormhole
solutions cannot be interpreted using $\alpha$ parameters as originally
suggested by Coleman.
| [
{
"created": "Fri, 18 May 2007 20:00:42 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2007 21:42:13 GMT",
"version": "v2"
}
] | 2009-04-22 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Orgera",
"Jacopo",
""
],
[
"Polchinski",
"Joseph",
""
]
] | We show that toroidal compactification of type II string theory to six dimensions admits axionic euclidean wormhole solutions. These wormholes can be inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a well-defined CFT dual. AdS/CFT duality then suggests that the wormhole solutions cannot be interpreted using $\alpha$ parameters as originally suggested by Coleman. |
hep-th/9306007 | null | A.H.Castro Neto and A.O.Caldeira | Transport Properties of Solitons | 16 Pages, RevTeX, Preprint UIUC | null | 10.1103/PhysRevE.48.4037 | null | hep-th cond-mat nucl-th | null | We calculate in this article the transport coefficients which characterize
the dynamics of solitons in quantum field theory using the methods of
dissipative quantum systems. We show how the damping and diffusion coefficients
of soliton-like excitations can be calculated using the integral functional
formalism. The model obtained in this article has new features which cannot be
obtained in the standard models of dissipation in quantum mechanics.
| [
{
"created": "Tue, 1 Jun 1993 19:41:04 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Neto",
"A. H. Castro",
""
],
[
"Caldeira",
"A. O.",
""
]
] | We calculate in this article the transport coefficients which characterize the dynamics of solitons in quantum field theory using the methods of dissipative quantum systems. We show how the damping and diffusion coefficients of soliton-like excitations can be calculated using the integral functional formalism. The model obtained in this article has new features which cannot be obtained in the standard models of dissipation in quantum mechanics. |
1904.07241 | Jose Juan Fernandez-Melgarejo | Jose J. Fernandez-Melgarejo, Javier Molina-Vilaplana, Emilio
Torrente-Lujan | Entanglement Renormalization for Interacting Field Theories | 6 + 5 pages, 1 figure; v2: minor clarifications added, published
version | Phys. Rev. D 100, 065025 (2019) | 10.1103/PhysRevD.100.065025 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general method to build the entanglement renormalization (cMERA) for
interacting quantum field theories is presented. We improve upon the well-known
Gaussian formalism used in free theories through a class of variational
non-Gaussian wavefunctionals for which expectation values of local operators
can be efficiently calculated analytically and in a closed form. The method
consists of a series of scale-dependent nonlinear canonical transformations on
the fields of the theory under consideration. Here, the $\lambda\, \phi^4$ and
the sine-Gordon scalar theories are used to illustrate how non-perturbative
effects far beyond the Gaussian approximation are obtained by considering the
energy functional and the correlation functions of the theory.
| [
{
"created": "Mon, 15 Apr 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2019 17:12:19 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Fernandez-Melgarejo",
"Jose J.",
""
],
[
"Molina-Vilaplana",
"Javier",
""
],
[
"Torrente-Lujan",
"Emilio",
""
]
] | A general method to build the entanglement renormalization (cMERA) for interacting quantum field theories is presented. We improve upon the well-known Gaussian formalism used in free theories through a class of variational non-Gaussian wavefunctionals for which expectation values of local operators can be efficiently calculated analytically and in a closed form. The method consists of a series of scale-dependent nonlinear canonical transformations on the fields of the theory under consideration. Here, the $\lambda\, \phi^4$ and the sine-Gordon scalar theories are used to illustrate how non-perturbative effects far beyond the Gaussian approximation are obtained by considering the energy functional and the correlation functions of the theory. |
hep-th/9409172 | J. A. de Azcarraga | J.A. de Azcarraga, P.P. Kulish, F. Rodenas | Non-commutative geometry and covariance: from the quantum plane to the
quantum tensors | Lecture delivered (by J.A.) at the 3rd Colloquium `Quantum groups and
Physics', Prague, June 1994. To appear in the proceedings (Czechoslovak J.
Phys.) | Czech.J.Phys. 44 (1994) 981 | 10.1007/BF01690450 | null | hep-th | null | Reflection and braid equations for rank two $q$-tensors are derived from the
covariance properties of quantum vectors by using the $R$-matrix formalism.
| [
{
"created": "Wed, 28 Sep 1994 11:47:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"de Azcarraga",
"J. A.",
""
],
[
"Kulish",
"P. P.",
""
],
[
"Rodenas",
"F.",
""
]
] | Reflection and braid equations for rank two $q$-tensors are derived from the covariance properties of quantum vectors by using the $R$-matrix formalism. |
1101.5003 | Harold Steinacker | Harold Steinacker | On matrix geometry | Contribution to the proceedings of the Corfu Summer Institute on
Elementary Particles and Physics 2011. 15 pages. V2: minor reformulations | PoS CNCFG2010:031,2011 | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The foundations of matrix geometry are discussed, which provides the basis
for recent progress on the effective geometry and gravity in Yang-Mills matrix
models. Basic examples lead to a notion of embedded noncommutative spaces
(branes) with emergent Riemannian geometry. This class of configurations turns
out to be preserved under small deformations, and is therefore appropriate for
matrix models. The relation with spectral geometry is discussed. A possible
realization of sufficiently generic 4-dimensional geometries as noncommutative
branes in D=10 matrix models is sketched.
| [
{
"created": "Wed, 26 Jan 2011 08:52:22 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2011 07:29:50 GMT",
"version": "v2"
}
] | 2015-03-18 | [
[
"Steinacker",
"Harold",
""
]
] | The foundations of matrix geometry are discussed, which provides the basis for recent progress on the effective geometry and gravity in Yang-Mills matrix models. Basic examples lead to a notion of embedded noncommutative spaces (branes) with emergent Riemannian geometry. This class of configurations turns out to be preserved under small deformations, and is therefore appropriate for matrix models. The relation with spectral geometry is discussed. A possible realization of sufficiently generic 4-dimensional geometries as noncommutative branes in D=10 matrix models is sketched. |
hep-th/0510237 | Iraida Cabrera-Carnero Dr. | I. Cabrera-Carnero | About the self-dual Chern-Simons system and Toda field theories on the
noncommutative plane | 24 pages | J.Phys.A39:5979-5994,2006 | 10.1088/0305-4470/39/20/023 | null | hep-th | null | The relation of the noncommutative self-dual Chern-Simons (NCSDCS) system to
the noncommutative generalizations of Toda and of affine Toda field theories is
investigated more deeply. This paper continues the programme initiated in $JHEP
{\bf 10} (2005) 071$, where it was presented how it is possible to define Toda
field theories through second order differential equation systems starting from
the NCSDCS system. Here we show that using the connection of the NCSDCS to the
noncommutative chiral model, exact solutions of the Toda field theories can be
also constructed by means of the noncommutative extension of the uniton method
proposed in $JHEP {\bf 0408} (2004) 054$ by Ki-Myeong Lee. Particularly some
specific solutions of the nc Liouville model are explicit constructed.
| [
{
"created": "Thu, 27 Oct 2005 18:32:14 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2006 20:58:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cabrera-Carnero",
"I.",
""
]
] | The relation of the noncommutative self-dual Chern-Simons (NCSDCS) system to the noncommutative generalizations of Toda and of affine Toda field theories is investigated more deeply. This paper continues the programme initiated in $JHEP {\bf 10} (2005) 071$, where it was presented how it is possible to define Toda field theories through second order differential equation systems starting from the NCSDCS system. Here we show that using the connection of the NCSDCS to the noncommutative chiral model, exact solutions of the Toda field theories can be also constructed by means of the noncommutative extension of the uniton method proposed in $JHEP {\bf 0408} (2004) 054$ by Ki-Myeong Lee. Particularly some specific solutions of the nc Liouville model are explicit constructed. |
hep-th/0003091 | Osamu Abe | O. Abe | A New Basis Function Approach to 't Hooft Equation | 6 pages, 2 figures. Prepared for Fifth Workshop on QCD (QCD2000),
Villefranche-Sur-Mer, France, 3-7 January 2000 | null | null | hueap-013 | hep-th | null | We present the new basis functions to investigate the 't Hooft equation, the
lowest order mesonic Light-Front Tamm-Dancoff equation for $\rm SU(N_C)$ gauge
theories. We find the wave function can be well approximated by new basis
functions and obtain an analytic formula for the mass of the lightest bound
state. Its value is consistent with the precedent results.
| [
{
"created": "Mon, 13 Mar 2000 06:43:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abe",
"O.",
""
]
] | We present the new basis functions to investigate the 't Hooft equation, the lowest order mesonic Light-Front Tamm-Dancoff equation for $\rm SU(N_C)$ gauge theories. We find the wave function can be well approximated by new basis functions and obtain an analytic formula for the mass of the lightest bound state. Its value is consistent with the precedent results. |
hep-th/0112121 | Sarmistha Kumar | Sarmishtha Kumar | Lagrangian and Hamiltonian formulations of higher order Chern-Simons
theories | 13 pages, Latex | Int.J.Mod.Phys. A18 (2003) 1613-1622 | 10.1142/S0217751X03013594 | null | hep-th | null | We consider models involving the higher (third) derivative extension of the
abelian Chern-Simons (CS) topological term in D=2+1 dimensions. The
polarisation vectors in these models reveal an identical structure with the
corresponding expressions for usual models which contain, at most, quadratic
structures. We also investigate the Hamiltonian structure of these models and
show how Wigner's little group acts as gauge generator.
| [
{
"created": "Fri, 14 Dec 2001 08:53:06 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kumar",
"Sarmishtha",
""
]
] | We consider models involving the higher (third) derivative extension of the abelian Chern-Simons (CS) topological term in D=2+1 dimensions. The polarisation vectors in these models reveal an identical structure with the corresponding expressions for usual models which contain, at most, quadratic structures. We also investigate the Hamiltonian structure of these models and show how Wigner's little group acts as gauge generator. |
hep-th/0512123 | Paul Steinhardt | Paul McFadden, Neil Turok and Paul J. Steinhardt | Solution of a Braneworld Big Crunch/Big Bang Cosmology | 54 pages, 12 figures, URL updated & 3 references added | Phys.Rev.D76:104038,2007 | 10.1103/PhysRevD.76.104038 | null | hep-th | null | We solve for the cosmological perturbations in a five-dimensional background
consisting of two separating or colliding boundary branes, as an expansion in
the collision speed V divided by the speed of light c. Our solution permits a
detailed check of the validity of four-dimensional effective theory in the
vicinity of the event corresponding to the big crunch/big bang singularity. We
show that the four-dimensional description fails at the first nontrivial order
in (V/c)^2. At this order, there is nontrivial mixing of the two relevant
four-dimensional perturbation modes (the growing and decaying modes) as the
boundary branes move from the narrowly-separated limit described by
Kaluza-Klein theory to the well-separated limit where gravity is confined to
the positive-tension brane. We comment on the cosmological significance of the
result and compute other quantities of interest in five-dimensional
cosmological scenarios.
| [
{
"created": "Mon, 12 Dec 2005 13:48:07 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jan 2006 17:23:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"McFadden",
"Paul",
""
],
[
"Turok",
"Neil",
""
],
[
"Steinhardt",
"Paul J.",
""
]
] | We solve for the cosmological perturbations in a five-dimensional background consisting of two separating or colliding boundary branes, as an expansion in the collision speed V divided by the speed of light c. Our solution permits a detailed check of the validity of four-dimensional effective theory in the vicinity of the event corresponding to the big crunch/big bang singularity. We show that the four-dimensional description fails at the first nontrivial order in (V/c)^2. At this order, there is nontrivial mixing of the two relevant four-dimensional perturbation modes (the growing and decaying modes) as the boundary branes move from the narrowly-separated limit described by Kaluza-Klein theory to the well-separated limit where gravity is confined to the positive-tension brane. We comment on the cosmological significance of the result and compute other quantities of interest in five-dimensional cosmological scenarios. |
hep-th/0207126 | Tian-jun Li | Tianjun Li, Wei Liao | Low Energy Gauge Unification Theory | Latex, 14 pages, 1 figure, 4 Tables | null | 10.1142/S0217732302009131 | null | hep-th hep-ph | null | Because of the problems arising from the fermion unification in the
traditional Grand Unified Theory and the mass hierarchy between the
4-dimensional Planck scale and weak scale, we suggest the low energy gauge
unification theory with low high-dimensional Planck scale. We discuss the
non-supersymmetric SU(5) model on $M^4\times S^1/Z_2 \times S^1/Z_2$ and the
supersymmetric SU(5) model on $M^4\times S^1/(Z_2\times Z_2') \times
S^1/(Z_2\times Z_2')$. The SU(5) gauge symmetry is broken by the orbifold
projection for the zero modes, and the gauge unification is accelerated due to
the SU(5) asymmetric light KK states. In our models, we forbid the proton
decay, still keep the charge quantization, and automatically solve the fermion
mass problem. We also comment on the anomaly cancellation and other possible
scenarios for low energy gauge unification.
| [
{
"created": "Fri, 12 Jul 2002 18:25:46 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Li",
"Tianjun",
""
],
[
"Liao",
"Wei",
""
]
] | Because of the problems arising from the fermion unification in the traditional Grand Unified Theory and the mass hierarchy between the 4-dimensional Planck scale and weak scale, we suggest the low energy gauge unification theory with low high-dimensional Planck scale. We discuss the non-supersymmetric SU(5) model on $M^4\times S^1/Z_2 \times S^1/Z_2$ and the supersymmetric SU(5) model on $M^4\times S^1/(Z_2\times Z_2') \times S^1/(Z_2\times Z_2')$. The SU(5) gauge symmetry is broken by the orbifold projection for the zero modes, and the gauge unification is accelerated due to the SU(5) asymmetric light KK states. In our models, we forbid the proton decay, still keep the charge quantization, and automatically solve the fermion mass problem. We also comment on the anomaly cancellation and other possible scenarios for low energy gauge unification. |
1403.5679 | Luigi Pilo | D. Comelli, M. Crisostomi, L. Pilo | FRW Cosmological Perturbations in Massive Bigravity | latex, 14 pages | Phys. Rev. D 90, 084003 (2014) | 10.1103/PhysRevD.90.084003 | CERN-PH-TH/2014-045 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological perturbations of FRW solutions in ghost free massive bigravity,
including also a second matter sector, are studied in detail. At early time, we
find that sub horizon exponential instabilities are unavoidable and they lead
to a premature departure from the perturbative regime of cosmological
perturbations.
| [
{
"created": "Sat, 22 Mar 2014 16:29:11 GMT",
"version": "v1"
}
] | 2014-10-08 | [
[
"Comelli",
"D.",
""
],
[
"Crisostomi",
"M.",
""
],
[
"Pilo",
"L.",
""
]
] | Cosmological perturbations of FRW solutions in ghost free massive bigravity, including also a second matter sector, are studied in detail. At early time, we find that sub horizon exponential instabilities are unavoidable and they lead to a premature departure from the perturbative regime of cosmological perturbations. |
1101.1101 | Seok Kim | Sangmo Cheon, Hee-Cheol Kim, Seok Kim | Holography of mass-deformed M2-branes | 48 pages, 12 figures, uses youngtab.sty | null | null | SNUTP10-008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find and study the gravity duals of the supersymmetric vacua of N=6
mass-deformed Chern-Simons-matter theory for M2-branes. The classical solution
extends that of Lin, Lunin and Maldacena by introducing a Z_k quotient and
discrete torsions. The gravity vacua perfectly map to the recently identified
supersymmetric field theory vacua. We calculate the masses of BPS charged
particles in the weakly coupled field theory, which agree with the classical
open membrane analysis when both calculations are reliable. We also comment on
how non-relativistic conformal symmetry is realized in our gravity duals in a
non-geometric way.
| [
{
"created": "Wed, 5 Jan 2011 21:24:19 GMT",
"version": "v1"
}
] | 2011-01-07 | [
[
"Cheon",
"Sangmo",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Kim",
"Seok",
""
]
] | We find and study the gravity duals of the supersymmetric vacua of N=6 mass-deformed Chern-Simons-matter theory for M2-branes. The classical solution extends that of Lin, Lunin and Maldacena by introducing a Z_k quotient and discrete torsions. The gravity vacua perfectly map to the recently identified supersymmetric field theory vacua. We calculate the masses of BPS charged particles in the weakly coupled field theory, which agree with the classical open membrane analysis when both calculations are reliable. We also comment on how non-relativistic conformal symmetry is realized in our gravity duals in a non-geometric way. |
1207.2181 | Davide Cassani | Davide Cassani, Claudius Klare, Dario Martelli, Alessandro Tomasiello,
Alberto Zaffaroni | Supersymmetry in Lorentzian Curved Spaces and Holography | 35 pages; v3: minor changes | Commun.Math.Phys. 327 (2014) 577-602 | 10.1007/s00220-014-1983-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider superconformal and supersymmetric field theories on
four-dimensional Lorentzian curved space-times, and their five-dimensional
holographic duals. As in the Euclidean signature case, preserved supersymmetry
for a superconformal theory is equivalent to the existence of a charged
conformal Killing spinor. Differently from the Euclidean case, we show that the
existence of such spinors is equivalent to the existence of a null conformal
Killing vector. For a supersymmetric field theory with an R-symmetry, this
vector field is further restricted to be Killing. We demonstrate how these
results agree with the existing classification of supersymmetric solutions of
minimal gauged supergravity in five dimensions.
| [
{
"created": "Mon, 9 Jul 2012 20:50:10 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2012 13:40:10 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Apr 2014 11:57:56 GMT",
"version": "v3"
}
] | 2014-04-08 | [
[
"Cassani",
"Davide",
""
],
[
"Klare",
"Claudius",
""
],
[
"Martelli",
"Dario",
""
],
[
"Tomasiello",
"Alessandro",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We consider superconformal and supersymmetric field theories on four-dimensional Lorentzian curved space-times, and their five-dimensional holographic duals. As in the Euclidean signature case, preserved supersymmetry for a superconformal theory is equivalent to the existence of a charged conformal Killing spinor. Differently from the Euclidean case, we show that the existence of such spinors is equivalent to the existence of a null conformal Killing vector. For a supersymmetric field theory with an R-symmetry, this vector field is further restricted to be Killing. We demonstrate how these results agree with the existing classification of supersymmetric solutions of minimal gauged supergravity in five dimensions. |
2301.11227 | Giulia Albonico | Giulia Albonico, Yvonne Geyer, Lionel Mason | Massive ambitwistor-strings; twistorial models | 58 pages, 50 pages of article + appendices & refs | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ambitwistor-strings are chiral strings whose targets are spaces of complex
massless particles, and whose correlation functions directly lead to simple,
compact formulae for scattering amplitudes and loop integrands for massless
gauge and gravity theories. This article extends this framework to worldsheet
models for massive particles in 4d, obtained via a symmetry reduction of a
higher dimensional massless model. The target space of the resulting models
turns out to be the phase space of 4d massive particles in a twistorial
representation, and so the worldsheet theory agrees with the two-twistor string
previously introduced by the authors. However, the paper has been written so as
to be largely self-contained. We discuss two interesting classes of massive
theories in detail. For gauge theories, the reduction procedure is explicitly
adapted to supersymmetric gauge theories on the Coulomb branch. For
supergravity theories, the reduction is adapted to give theories obtained via
Cremmer, Scherk and Schwartz (CSS) reduction, with broken supersymmetry and
massive multiplets. The reduction procedure gives explicit and systematic rules
to obtain amplitudes for all these theories and their amplitudes from two
compact master formulae that have their origins in 6d based on the polarized
scattering equations; in the CSS case the formulae are new, and in both cases
their derivation is systematic. The freedom to include mass allows the
definition of a loop insertion operator, thereby extending the formulae to
1-loop. Unlike the massless 4d twistorial models, these all display a perfect
double copy structure, here incorporating massive particles in the relationship
between gauge theory and CSS supergravity amplitudes.
| [
{
"created": "Thu, 26 Jan 2023 17:02:01 GMT",
"version": "v1"
}
] | 2023-01-27 | [
[
"Albonico",
"Giulia",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Mason",
"Lionel",
""
]
] | Ambitwistor-strings are chiral strings whose targets are spaces of complex massless particles, and whose correlation functions directly lead to simple, compact formulae for scattering amplitudes and loop integrands for massless gauge and gravity theories. This article extends this framework to worldsheet models for massive particles in 4d, obtained via a symmetry reduction of a higher dimensional massless model. The target space of the resulting models turns out to be the phase space of 4d massive particles in a twistorial representation, and so the worldsheet theory agrees with the two-twistor string previously introduced by the authors. However, the paper has been written so as to be largely self-contained. We discuss two interesting classes of massive theories in detail. For gauge theories, the reduction procedure is explicitly adapted to supersymmetric gauge theories on the Coulomb branch. For supergravity theories, the reduction is adapted to give theories obtained via Cremmer, Scherk and Schwartz (CSS) reduction, with broken supersymmetry and massive multiplets. The reduction procedure gives explicit and systematic rules to obtain amplitudes for all these theories and their amplitudes from two compact master formulae that have their origins in 6d based on the polarized scattering equations; in the CSS case the formulae are new, and in both cases their derivation is systematic. The freedom to include mass allows the definition of a loop insertion operator, thereby extending the formulae to 1-loop. Unlike the massless 4d twistorial models, these all display a perfect double copy structure, here incorporating massive particles in the relationship between gauge theory and CSS supergravity amplitudes. |
1712.02788 | Xinan Zhou | Leonardo Rastelli, Xinan Zhou | Holographic Four-Point Functions in the (2, 0) Theory | 33 pages; v2: typos corrected, to appear on JHEP | null | 10.1007/JHEP06(2018)087 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the calculation of holographic correlators for eleven-dimensional
supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and
eschew detailed knowledge of the supergravity effective action. By an extension
of the position space approach developed in [1, 2] for the $AdS_5\times S^5$
background, we compute four-point correlators of one-half BPS operators for
identical weights $k=2, 3, 4$. The $k=2$ case corresponds to the four-point
function of the stress-tensor multiplet, which was already known, while the
other two cases are new. We also translate the problem in Mellin space, where
the solution of the superconformal Ward identity takes a surprisingly simple
form. We formulate an algebraic problem, whose (conjecturally unique) solution
corresponds to the general one-half BPS four-point function.
| [
{
"created": "Thu, 7 Dec 2017 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jun 2018 20:53:13 GMT",
"version": "v2"
}
] | 2018-08-01 | [
[
"Rastelli",
"Leonardo",
""
],
[
"Zhou",
"Xinan",
""
]
] | We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the position space approach developed in [1, 2] for the $AdS_5\times S^5$ background, we compute four-point correlators of one-half BPS operators for identical weights $k=2, 3, 4$. The $k=2$ case corresponds to the four-point function of the stress-tensor multiplet, which was already known, while the other two cases are new. We also translate the problem in Mellin space, where the solution of the superconformal Ward identity takes a surprisingly simple form. We formulate an algebraic problem, whose (conjecturally unique) solution corresponds to the general one-half BPS four-point function. |
hep-th/0210210 | Andrianov Alexander | A. A. Andrianov (1), D. Espriu (2) ((1) St.Petersburg State University
and INFN, Bologna; (2) University of Barcelona) | Hadronic string and chiral symmetry breaking | 8 pages, Latex, Talk at 12th Seminar on High Energy Physics
QUARKS'2002, Novgorod, Russia, June 1-7, 2002 | null | null | null | hep-th hep-ph | null | We assume that QCD can be effectively described with string-like variables.
The hadronic string is built over the chirally non-invariant QCD vacuum by
means of the boundary interaction with background chiral fields associated with
pions. By making this interaction compatible with the conformal symmetry of the
string and with the unitarity constraint on chiral fields we reconstruct the
equations of motion for the latter ones and furthermore recover the Lagrangian
of non-linear sigma model of pion interactions. The estimated chiral structural
constants of Gasser and Leutwyler fit well the phenomenological values.
| [
{
"created": "Tue, 22 Oct 2002 08:03:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Andrianov",
"A. A.",
""
],
[
"Espriu",
"D.",
""
]
] | We assume that QCD can be effectively described with string-like variables. The hadronic string is built over the chirally non-invariant QCD vacuum by means of the boundary interaction with background chiral fields associated with pions. By making this interaction compatible with the conformal symmetry of the string and with the unitarity constraint on chiral fields we reconstruct the equations of motion for the latter ones and furthermore recover the Lagrangian of non-linear sigma model of pion interactions. The estimated chiral structural constants of Gasser and Leutwyler fit well the phenomenological values. |
hep-th/9611141 | Shinji Hamamoto | Shinji Hamamoto (Toyama Univ.) | Massless Limits of Massive Tensor Fields II --- Infrared regularization
of Fierz-Pauli model --- | 12 pages, uses ptptex.sty for LaTeX | Prog.Theor.Phys. 97 (1997) 327-338 | 10.1143/PTP.97.327 | TOYAMA-92 | hep-th | null | Izawa's gauge-fixing procedure based on BRS symmetry is applied twice to the
massive tensor field theory of Fierz-Pauli type. It is shown the second
application can remove massless singularities which remain after the first
application. Massless limit of the theory is discussed.
| [
{
"created": "Tue, 19 Nov 1996 01:55:53 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Hamamoto",
"Shinji",
"",
"Toyama Univ."
]
] | Izawa's gauge-fixing procedure based on BRS symmetry is applied twice to the massive tensor field theory of Fierz-Pauli type. It is shown the second application can remove massless singularities which remain after the first application. Massless limit of the theory is discussed. |
1704.01128 | Hayato Motohashi | Hayato Motohashi, Wayne Hu | Generalized Slow Roll in the Unified Effective Field Theory of Inflation | 22 pages; matches published version; typos in definition of $a_\mu$,
Eqs. (5), (8), (A13) fixed | Phys. Rev. D 96, 023502 (2017) | 10.1103/PhysRevD.96.023502 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a compact and unified treatment of power spectrum observables for
the effective field theory (EFT) of inflation with the complete set of
operators that lead to second-order equations of motion in metric perturbations
in both space and time derivatives, including Horndeski and GLPV theories. We
relate the EFT operators in ADM form to the four additional free functions of
time in the scalar and tensor equations. Using the generalized slow roll
formalism, we show that each power spectrum can be described by an integral
over a single source that is a function of its respective sound horizon. With
this correspondence, existing model independent constraints on the source
function can be simply reinterpreted in the more general inflationary context.
By expanding these sources around an optimized freeze-out epoch, we also
provide characterizations of these spectra in terms of five slow-roll
hierarchies whose leading order forms are compact and accurate as long as EFT
coefficients vary only on timescales greater than an efold. We also clarify the
relationship between the unitary gauge observables employed in the EFT and the
comoving gauge observables of the post-inflationary universe.
| [
{
"created": "Tue, 4 Apr 2017 18:00:09 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jul 2017 14:29:51 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Jan 2019 12:04:34 GMT",
"version": "v3"
}
] | 2019-01-15 | [
[
"Motohashi",
"Hayato",
""
],
[
"Hu",
"Wayne",
""
]
] | We provide a compact and unified treatment of power spectrum observables for the effective field theory (EFT) of inflation with the complete set of operators that lead to second-order equations of motion in metric perturbations in both space and time derivatives, including Horndeski and GLPV theories. We relate the EFT operators in ADM form to the four additional free functions of time in the scalar and tensor equations. Using the generalized slow roll formalism, we show that each power spectrum can be described by an integral over a single source that is a function of its respective sound horizon. With this correspondence, existing model independent constraints on the source function can be simply reinterpreted in the more general inflationary context. By expanding these sources around an optimized freeze-out epoch, we also provide characterizations of these spectra in terms of five slow-roll hierarchies whose leading order forms are compact and accurate as long as EFT coefficients vary only on timescales greater than an efold. We also clarify the relationship between the unitary gauge observables employed in the EFT and the comoving gauge observables of the post-inflationary universe. |
hep-th/0411204 | Luzi Bergamin | L. Bergamin and W. Kummer | Two-Dimensional N=(2,2) Dilaton Supergravity from Graded Poisson-Sigma
Models II: Analytic Solution and BPS States | 23 p LaTeX | Eur.Phys.J.C39:S53-S63,2005 | 10.1140/epjcd/s2004-01-011-1 | TUW-04-33 | hep-th | null | The integrability of N=(2,2) dilaton supergravity in two dimensions is
studied by the use of the graded Poisson Sigma model approach. Though important
differences compared to the purely bosonic models are found, the general
analytic solutions are obtained. The latter include minimally gauged models as
well as an ungauged version. BPS solutions are an especially interesting
subclass.
| [
{
"created": "Mon, 22 Nov 2004 22:05:39 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Bergamin",
"L.",
""
],
[
"Kummer",
"W.",
""
]
] | The integrability of N=(2,2) dilaton supergravity in two dimensions is studied by the use of the graded Poisson Sigma model approach. Though important differences compared to the purely bosonic models are found, the general analytic solutions are obtained. The latter include minimally gauged models as well as an ungauged version. BPS solutions are an especially interesting subclass. |
1008.4787 | Jiajun Xu | S.-H. Henry Tye and Jiajun Xu | Comment on Asymptotically Safe Inflation | 4 pages | Phys. Rev. D 82, 127302 (2010) | 10.1103/PhysRevD.82.127302 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We comment on Weinberg's interesting analysis of asymptotically safe
inflation (arXiv:0911.3165). We find that even if the gravity theory exhibits
an ultraviolet fixed point, the energy scale during inflation is way too low to
drive the theory close to the fixed point value. We choose the specific
renormalization groupflow away from the fixed point towards the infrared region
that reproduces the Newton's constant and today's cosmological constant. We
follow this RG flow path to scales below the Planck scale to study the
stability of the inflationary scenario. Again, we find that some fine tuning is
necessary to get enough efolds of infflation in the asymptotically safe
inflationary scenario.
| [
{
"created": "Fri, 27 Aug 2010 19:10:52 GMT",
"version": "v1"
}
] | 2011-01-06 | [
[
"Tye",
"S. -H. Henry",
""
],
[
"Xu",
"Jiajun",
""
]
] | We comment on Weinberg's interesting analysis of asymptotically safe inflation (arXiv:0911.3165). We find that even if the gravity theory exhibits an ultraviolet fixed point, the energy scale during inflation is way too low to drive the theory close to the fixed point value. We choose the specific renormalization groupflow away from the fixed point towards the infrared region that reproduces the Newton's constant and today's cosmological constant. We follow this RG flow path to scales below the Planck scale to study the stability of the inflationary scenario. Again, we find that some fine tuning is necessary to get enough efolds of infflation in the asymptotically safe inflationary scenario. |
0807.0566 | Changrim Ahn | Changrim Ahn, P. Bozhilov | Finite-size effects of Membranes on AdS_4 x S_7 | References added, typos fixed, acknowledgement added; 25 pages | JHEP 0808:054,2008 | 10.1088/1126-6708/2008/08/054 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider semi-classical solution of membranes on the AdS_4 x S^7. This is
supposed to be dual to the N=6 super Chern-Simons theory with k=1 in a planar
limit recently proposed by Aharony, Bergmann, Jafferis, and Maldacena (ABJM).
We have identified giant magnon and single spike states on the membrane by
reducing them to the Neumamm - Rosochatius integrable system. We also connect
these to the complex sine-Gordon integrable model. Based on this approach, we
find finite-size membrane solutions and obtain their images in the complex
sine-Gordon system along with the leading finite-size corrections to the
energy-charge relations.
| [
{
"created": "Thu, 3 Jul 2008 13:44:23 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jul 2008 07:52:50 GMT",
"version": "v2"
}
] | 2011-03-02 | [
[
"Ahn",
"Changrim",
""
],
[
"Bozhilov",
"P.",
""
]
] | We consider semi-classical solution of membranes on the AdS_4 x S^7. This is supposed to be dual to the N=6 super Chern-Simons theory with k=1 in a planar limit recently proposed by Aharony, Bergmann, Jafferis, and Maldacena (ABJM). We have identified giant magnon and single spike states on the membrane by reducing them to the Neumamm - Rosochatius integrable system. We also connect these to the complex sine-Gordon integrable model. Based on this approach, we find finite-size membrane solutions and obtain their images in the complex sine-Gordon system along with the leading finite-size corrections to the energy-charge relations. |
hep-th/9308153 | Robert Becker | Victor G. Kac and A. Radul | Quasifinite highest weight modules over the Lie algebra of differential
operators on the circle | null | Commun.Math.Phys. 157 (1993) 429-457 | 10.1007/BF02096878 | null | hep-th math.QA | null | We classify positive energy representations with finite degeneracies of the
Lie algebra $W_{1+\infty}\/$ and construct them in terms of representation
theory of the Lie algebra $\hatgl ( \infty R_m )\/$ of infinite matrices with
finite number of non-zero diagonals over the algebra $R_m = \C [ t ] / ( t^{m +
1} )\/$. The unitary ones are classified as well. Similar results are obtained
for the sin-algebras.
| [
{
"created": "Tue, 31 Aug 1993 13:29:49 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kac",
"Victor G.",
""
],
[
"Radul",
"A.",
""
]
] | We classify positive energy representations with finite degeneracies of the Lie algebra $W_{1+\infty}\/$ and construct them in terms of representation theory of the Lie algebra $\hatgl ( \infty R_m )\/$ of infinite matrices with finite number of non-zero diagonals over the algebra $R_m = \C [ t ] / ( t^{m + 1} )\/$. The unitary ones are classified as well. Similar results are obtained for the sin-algebras. |
2109.11531 | Nathan Moynihan | William T. Emond, Nathan Moynihan and Liangyu Wei | Quantization Conditions and the Double Copy | Revised text and refined some arguments, added references | null | 10.1007/JHEP09(2022)108 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We formulate Wilson loop observables as products of eikonal Wilson lines
given in terms of on-shell scattering amplitudes. Using these, we derive the
Dirac-Schwinger-Zwanziger quantization condition and its gravitational
(Taub-NUT) double copy, where we find a relativistic generalisation of the
usual non-relativistic gravitational quantization condition. We also compute
the relativistic Wilson loop for an anyon-anyon system, obtaining a similar
relativistic generalisation of the Aharonov-Bohm phase for gravitational
anyons.
| [
{
"created": "Thu, 23 Sep 2021 17:55:15 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Dec 2021 18:43:36 GMT",
"version": "v2"
}
] | 2022-09-28 | [
[
"Emond",
"William T.",
""
],
[
"Moynihan",
"Nathan",
""
],
[
"Wei",
"Liangyu",
""
]
] | We formulate Wilson loop observables as products of eikonal Wilson lines given in terms of on-shell scattering amplitudes. Using these, we derive the Dirac-Schwinger-Zwanziger quantization condition and its gravitational (Taub-NUT) double copy, where we find a relativistic generalisation of the usual non-relativistic gravitational quantization condition. We also compute the relativistic Wilson loop for an anyon-anyon system, obtaining a similar relativistic generalisation of the Aharonov-Bohm phase for gravitational anyons. |
1102.0015 | John Davey | John Davey, Amihay Hanany and Rak-Kyeong Seong | An Introduction to Counting Orbifolds | 6 pages. Accepted for publication in the proceedings of the XVIth
European Workshop on String Theory | Fortsch.Phys.59:677-682, 2011 | 10.1002/prop.201100013 | Imperial/TP/11/AH/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review three methods of counting abelian orbifolds of the form C^3/Gamma
which are toric Calabi-Yau (CY). The methods include the use of 3-tuples to
define the action of Gamma on C^3, the counting of triangular toric diagrams
and the construction of hexagonal brane tilings. A formula for the partition
function that counts these orbifolds is given. Extensions to higher dimensional
orbifolds are briefly discussed.
| [
{
"created": "Mon, 31 Jan 2011 21:20:21 GMT",
"version": "v1"
}
] | 2011-07-14 | [
[
"Davey",
"John",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | We review three methods of counting abelian orbifolds of the form C^3/Gamma which are toric Calabi-Yau (CY). The methods include the use of 3-tuples to define the action of Gamma on C^3, the counting of triangular toric diagrams and the construction of hexagonal brane tilings. A formula for the partition function that counts these orbifolds is given. Extensions to higher dimensional orbifolds are briefly discussed. |
1108.1575 | Pedro Vieira G. | Amit Sever, Pedro Vieira, Tianheng Wang | OPE for Super Loops | 16 pages + appendices; 5 figures | null | 10.1007/JHEP11(2011)051 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the Operator Product Expansion for Null Polygon Wilson loops to the
Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We
explain how the known tree level amplitudes can be promoted into an infinite
amount of data at any loop order in the OPE picture. As an application, we
re-derive all one loop NMHV six gluon amplitudes by promoting their tree level
expressions. We also present some new all loops predictions for these
amplitudes.
| [
{
"created": "Sun, 7 Aug 2011 21:22:01 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
],
[
"Wang",
"Tianheng",
""
]
] | We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We explain how the known tree level amplitudes can be promoted into an infinite amount of data at any loop order in the OPE picture. As an application, we re-derive all one loop NMHV six gluon amplitudes by promoting their tree level expressions. We also present some new all loops predictions for these amplitudes. |
hep-th/0101182 | Dubin Andrey Yurievich | Andrey Yu. Dubin | The Gauge String Solution of the D>=3 Yang-Mills Loop Equations | 57 pages | null | null | null | hep-th hep-lat hep-ph | null | I adapt the Gauge String, representing the strong coupling (SC) expansion in
the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare
coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda,
to the analysis of the regularized Wilson's loop-averages. When generalized to
describe the fat (rather than infinitely thin) flux-tubes, the pattern of thus
modified U(N) Gauge String is proved to be consistent with the chain of the
judiciously regularized U(N) Loop equations. In particular, we reveal the
dimensional reduction YM_{D}=>YM_{2}, taking place in the extreme SC limit
\lambda=>\infty, and compare it with the implications of the AdS/CFT
correspondence conjecture. On the other hand, for the loop-averages associated
to the sufficiently large minimal areas, the proposed stringy pattern is
supposed to be in the one infrared universality class (provided the loops are
without zig-zag backtrackings) with the novel implementation of the noncritical
D-dimensional Nambu-Goto string. The peculiarity is due to the nonstandard
\Lambda^{2}-scaling, \Lambda^{2}=O(\sigma_{ph}), of the physical string tension
\sigma_{ph}. Being well-motivated from the viewpoint of the standard YM_{4}
theory with \lambda=>0, this scaling is argued to entail that the considered
modification of the Nambu-Goto system is in the stringy (rather than in the
branched polymer) regime. In sum, the confinement in the continuous D>=3 U(N)
(and, similarly, SU(N)) gauge theory is justified, for the first time, at least
when both N and \lambda are sufficiently large. As a by-product, when continued
to N=1, the Gauge String is shown to describe the continuous U(1) gauge theory
with the monopoles.
| [
{
"created": "Fri, 26 Jan 2001 15:08:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dubin",
"Andrey Yu.",
""
]
] | I adapt the Gauge String, representing the strong coupling (SC) expansion in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda, to the analysis of the regularized Wilson's loop-averages. When generalized to describe the fat (rather than infinitely thin) flux-tubes, the pattern of thus modified U(N) Gauge String is proved to be consistent with the chain of the judiciously regularized U(N) Loop equations. In particular, we reveal the dimensional reduction YM_{D}=>YM_{2}, taking place in the extreme SC limit \lambda=>\infty, and compare it with the implications of the AdS/CFT correspondence conjecture. On the other hand, for the loop-averages associated to the sufficiently large minimal areas, the proposed stringy pattern is supposed to be in the one infrared universality class (provided the loops are without zig-zag backtrackings) with the novel implementation of the noncritical D-dimensional Nambu-Goto string. The peculiarity is due to the nonstandard \Lambda^{2}-scaling, \Lambda^{2}=O(\sigma_{ph}), of the physical string tension \sigma_{ph}. Being well-motivated from the viewpoint of the standard YM_{4} theory with \lambda=>0, this scaling is argued to entail that the considered modification of the Nambu-Goto system is in the stringy (rather than in the branched polymer) regime. In sum, the confinement in the continuous D>=3 U(N) (and, similarly, SU(N)) gauge theory is justified, for the first time, at least when both N and \lambda are sufficiently large. As a by-product, when continued to N=1, the Gauge String is shown to describe the continuous U(1) gauge theory with the monopoles. |
hep-th/9408123 | null | S. Rouhani and A. Shariati | On Little Groups and Boosts of $\kappa$-deformed Poincare Group | 11 pages, LaTeX | null | null | null | hep-th | null | We show how Wigner's little group approach to the representation theory of
Poincar\'e group may be generalized to the case of $\kappa$-deformed
Poincar\'e group. We also derive the deformed Lorentz transformations of
energy and momentum. We find that if the $\kappa$-deformed Poincar\'e group is
adopted as the fundamental symmetry of nature, it results in deviations from
predictions of the Poincar\'e symmetry at large energies, which may be
experimentally observable.
| [
{
"created": "Tue, 23 Aug 1994 21:46:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rouhani",
"S.",
""
],
[
"Shariati",
"A.",
""
]
] | We show how Wigner's little group approach to the representation theory of Poincar\'e group may be generalized to the case of $\kappa$-deformed Poincar\'e group. We also derive the deformed Lorentz transformations of energy and momentum. We find that if the $\kappa$-deformed Poincar\'e group is adopted as the fundamental symmetry of nature, it results in deviations from predictions of the Poincar\'e symmetry at large energies, which may be experimentally observable. |
1009.2341 | Anton Galajinsky | Anton Galajinsky | Particle dynamics near extreme Kerr throat and supersymmetry | V2: 10 pages; discussion in sect. 4 and 5 extended, acknowledgements
and references added | JHEP 1011:126,2010 | 10.1007/JHEP11(2010)126 | LMP-TPU-7/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The extreme Kerr throat solution is believed to be non-supersymmetric.
However, its isometry group SO(2,1) x U(1) matches precisely the bosonic
subgroup of N=2 superconformal group in one dimension. In this paper we
construct N=2 supersymmetric extension of a massive particle moving near the
horizon of the extreme Kerr black hole. Bosonic conserved charges are related
to Killing vectors in a conventional way. Geometric interpretation of
supersymmetry charges remains a challenge.
| [
{
"created": "Mon, 13 Sep 2010 10:14:19 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Sep 2010 04:00:51 GMT",
"version": "v2"
}
] | 2010-11-30 | [
[
"Galajinsky",
"Anton",
""
]
] | The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2,1) x U(1) matches precisely the bosonic subgroup of N=2 superconformal group in one dimension. In this paper we construct N=2 supersymmetric extension of a massive particle moving near the horizon of the extreme Kerr black hole. Bosonic conserved charges are related to Killing vectors in a conventional way. Geometric interpretation of supersymmetry charges remains a challenge. |
hep-th/0603082 | S. Q. Wu | Shuang-Qing Wu, Qing-Quan Jiang | Hawking Radiation of Charged Particles as Tunneling from Higher
Dimensional Reissner-Nordstrom-de Sitter Black Holes | 13 pages, no figure, enlarged version | null | null | null | hep-th gr-qc | null | Recent work that treats the Hawking radiation as a semi-classical tunnelling
process from the four-dimensional Schwarzschild and Reissner-Nordstrom black
holes is extended to the case of higher dimensional Reissner-Nordstrom-de
Sitter black holes. The result shows that the tunnelling rate is related to the
change of Bekenstein-Hawking entropy and the exact radiant spectrum is no
longer precisely thermal after considering the black hole background as
dynamical and incorporating the self-gravitation effect of the emitted
particles when the energy conservation and electric charge conservation are
taken into account.
| [
{
"created": "Fri, 10 Mar 2006 10:42:38 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2006 08:56:24 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Jun 2006 07:47:41 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Wu",
"Shuang-Qing",
""
],
[
"Jiang",
"Qing-Quan",
""
]
] | Recent work that treats the Hawking radiation as a semi-classical tunnelling process from the four-dimensional Schwarzschild and Reissner-Nordstrom black holes is extended to the case of higher dimensional Reissner-Nordstrom-de Sitter black holes. The result shows that the tunnelling rate is related to the change of Bekenstein-Hawking entropy and the exact radiant spectrum is no longer precisely thermal after considering the black hole background as dynamical and incorporating the self-gravitation effect of the emitted particles when the energy conservation and electric charge conservation are taken into account. |
hep-th/9706155 | Clifford V. Johnson | Clifford V. Johnson | From M-theory to F-theory, with Branes | 20 pages, harvmac.tex (b), epsf.tex for decoration (Two references
added. Fixed a few comments.) | Nucl.Phys. B507 (1997) 227-244 | 10.1016/S0550-3213(97)00550-6 | UK/97-13 | hep-th | null | A duality relationship between certain brane configurations in type IIA and
type IIB string theory is explored by exploiting the geometrical origins of
each theory in M-theory. The configurations are dual ways of realising the
non-perturbative dynamics of a four dimensional N=2 supersymmetric SU(2) gauge
theory with four or fewer favours of fermions in the fundamental, and the
spectral curve which organizes these dynamics plays a prominent role in each
case. This is an illustration of how non-trivial F-theory backgrounds follow
from M-theory ones, hopefully demystifying somewhat the origins of the former.
| [
{
"created": "Mon, 23 Jun 1997 08:39:39 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jun 1997 22:21:10 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Johnson",
"Clifford V.",
""
]
] | A duality relationship between certain brane configurations in type IIA and type IIB string theory is explored by exploiting the geometrical origins of each theory in M-theory. The configurations are dual ways of realising the non-perturbative dynamics of a four dimensional N=2 supersymmetric SU(2) gauge theory with four or fewer favours of fermions in the fundamental, and the spectral curve which organizes these dynamics plays a prominent role in each case. This is an illustration of how non-trivial F-theory backgrounds follow from M-theory ones, hopefully demystifying somewhat the origins of the former. |
hep-th/9806219 | Hugo Christiansen | Hugo Christiansen (CBPF - Rio de Janeiro) | Topological contributions to fermionic correlators and nonperturbative
aspects of QCD in two dimensions | 12 pages, Latex; To be published in the Int.J.Mod.Phys. A | Int.J.Mod.Phys. A14 (1999) 1379 | 10.1142/S0217751X99000725 | CBPF-NF-/98 | hep-th | null | We analyze the formation of fermionic condensates in two dimensional quantum
chromodynamics for matter in the fundamental representation of the gauge group.
We show that a topological regular instanton background is crucial in order to
obtain nontrivial correlators. We discuss both massless and massive cases.
| [
{
"created": "Sat, 27 Jun 1998 00:34:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Christiansen",
"Hugo",
"",
"CBPF - Rio de Janeiro"
]
] | We analyze the formation of fermionic condensates in two dimensional quantum chromodynamics for matter in the fundamental representation of the gauge group. We show that a topological regular instanton background is crucial in order to obtain nontrivial correlators. We discuss both massless and massive cases. |
2002.11175 | Naritaka Oshita | Naritaka Oshita | Small-mass naked singularities censored by the Higgs field | 6pages, 4 figures, to appear in CQG Letters | Class. Quantum Grav. 37 (2020) 07LT01 | 10.1088/1361-6382/ab7616 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a vacuum decay around an over-spinning naked singularity by
using the Israel junction condition. We found that if the Higgs field develops
the second minimum at higher energy scale, a spinning small-mass naked
singularity could cause the vacuum decay around it within the cosmic age. An
event horizon may form around the singularity due to the angular momentum
transport from the singularity to a vacuum bubble wall. The newly formed event
horizon leads to the increase of Bekenstein-Hawking entropy, which contributes
to the enhancement of the vacuum decay rate. We conclude that small-mass naked
singularities may be hidden by the event horizon within the cosmological time.
| [
{
"created": "Tue, 25 Feb 2020 21:01:13 GMT",
"version": "v1"
}
] | 2020-03-09 | [
[
"Oshita",
"Naritaka",
""
]
] | We investigate a vacuum decay around an over-spinning naked singularity by using the Israel junction condition. We found that if the Higgs field develops the second minimum at higher energy scale, a spinning small-mass naked singularity could cause the vacuum decay around it within the cosmic age. An event horizon may form around the singularity due to the angular momentum transport from the singularity to a vacuum bubble wall. The newly formed event horizon leads to the increase of Bekenstein-Hawking entropy, which contributes to the enhancement of the vacuum decay rate. We conclude that small-mass naked singularities may be hidden by the event horizon within the cosmological time. |
hep-th/9903020 | Ergin Sezgin | E. Sezgin and P. Sundell | Higher Spin N=8 Supergravity in AdS_4 | 28 pages, latex, uses sprocl.sty, contribution to the John Hopkins
Workshop, August 1998, Chalmers, Sweden | null | null | null | hep-th | null | We review the basic structure of the higher spin extension of D=4, N=8 AdS
supergravity. The theory is obtained by gauging the higher spin superalgebra
shs^E(8|4) by a procedure pioneered by Vasiliev. The algebra shs^E(8|4) is a
subalgebra of the enveloping algebra of OSp(8|4). The physical states of the
theory are in one to one correspondence with the symmetric product of two
OSp(8|4) singletons. This singleton theory, which may be viewed in a certain
limit as the supermembrane theory on AdS_4 x S^7, is expected to describe the
dynamics of the higher spin theory. Thus, the higher spin N=8 supergravity on
AdS_4 is conjectured to describe the field theory limit of M-theory on AdS_4 x
S^7.
| [
{
"created": "Tue, 2 Mar 1999 00:31:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sezgin",
"E.",
""
],
[
"Sundell",
"P.",
""
]
] | We review the basic structure of the higher spin extension of D=4, N=8 AdS supergravity. The theory is obtained by gauging the higher spin superalgebra shs^E(8|4) by a procedure pioneered by Vasiliev. The algebra shs^E(8|4) is a subalgebra of the enveloping algebra of OSp(8|4). The physical states of the theory are in one to one correspondence with the symmetric product of two OSp(8|4) singletons. This singleton theory, which may be viewed in a certain limit as the supermembrane theory on AdS_4 x S^7, is expected to describe the dynamics of the higher spin theory. Thus, the higher spin N=8 supergravity on AdS_4 is conjectured to describe the field theory limit of M-theory on AdS_4 x S^7. |
1105.4439 | Sergei Parkhomenko | Sergei E. Parkhomenko | Fermionic screenings and chiral de Rham complex on CY manifolds with
line bundles | LaTex, 13 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We represent a generalization of Borisov's construction of chiral de Rham
complex for the case of line bundle twisted chiral de Rham complex on
Calabi-Yau hypersurface in projective space. We generalize the differential
associated to the polytope $\Delta$ of the projective space $\mathbb{P}^{d-1}$
by allowing nonzero modes for the screening currents forming this differential.
It is shown that the numbers of screening current modes define the support
function of toric divisor of a line bundle on $\mathbb{P}^{d-1}$ that twists
the chiral de Rham complex on Calabi-Yau hypersurface.
| [
{
"created": "Mon, 23 May 2011 09:09:59 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2012 14:15:11 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Jan 2012 11:44:02 GMT",
"version": "v3"
}
] | 2012-01-24 | [
[
"Parkhomenko",
"Sergei E.",
""
]
] | We represent a generalization of Borisov's construction of chiral de Rham complex for the case of line bundle twisted chiral de Rham complex on Calabi-Yau hypersurface in projective space. We generalize the differential associated to the polytope $\Delta$ of the projective space $\mathbb{P}^{d-1}$ by allowing nonzero modes for the screening currents forming this differential. It is shown that the numbers of screening current modes define the support function of toric divisor of a line bundle on $\mathbb{P}^{d-1}$ that twists the chiral de Rham complex on Calabi-Yau hypersurface. |
2110.12677 | Tigran Petrosyan | A. A. Saharian, E. R. Bezerra de Mello, A. S. Kotanjyan, T. A.
Petrosyan | Fermionic condensate in de Sitter spacetime | 12 pages, 2 figures, to appear in Astrophysics | Astrophysics 64(4), 529-543 (2021) | 10.1007/s10511-021-09713-z | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | Fermionic condensate is investigated in $(D+1)$-dimensional de Sitter
spacetime by using the cutoff function regularization. In order to fix the
renormalization ambiguity for massive fields an additional condition is
imposed, requiring the condensate to vanish in the infinite mass limit. For
large values of the field mass the condensate decays exponentially in odd
dimensional spacetimes and follows a power law decay in even dimensional
spacetimes. For a massless field the fermionic condensate vanishes for odd
values of the spatial dimension $D$ and is nonzero for even $D$. Depending on
the spatial dimension the fermionic condensate can be either positive or
negative. The change in the sign of the condensate may lead to instabilities in
interacting field theories.
| [
{
"created": "Mon, 25 Oct 2021 06:52:06 GMT",
"version": "v1"
}
] | 2021-12-01 | [
[
"Saharian",
"A. A.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Kotanjyan",
"A. S.",
""
],
[
"Petrosyan",
"T. A.",
""
]
] | Fermionic condensate is investigated in $(D+1)$-dimensional de Sitter spacetime by using the cutoff function regularization. In order to fix the renormalization ambiguity for massive fields an additional condition is imposed, requiring the condensate to vanish in the infinite mass limit. For large values of the field mass the condensate decays exponentially in odd dimensional spacetimes and follows a power law decay in even dimensional spacetimes. For a massless field the fermionic condensate vanishes for odd values of the spatial dimension $D$ and is nonzero for even $D$. Depending on the spatial dimension the fermionic condensate can be either positive or negative. The change in the sign of the condensate may lead to instabilities in interacting field theories. |
1006.2007 | Anna Ceresole T | Anna Ceresole, Sergio Ferrara and Alessio Marrani | Small N=2 Extremal Black Holes in Special Geometry | 14 pages | Phys.Lett.B693:366-372,2010 | 10.1016/j.physletb.2010.08.053 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an intrinsic classification of the large and small orbits for N=2,
4D extremal black holes on symmetric spaces which does not depend on the
duality frame used for the charges or on the special coordinates. A coordinate
independent formula for the fake superpotential W, which (at infinity)
represents the black hole ADM mass, is given explicitly in terms of invariants
of the N=2 special geometry.
| [
{
"created": "Thu, 10 Jun 2010 11:39:44 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Ceresole",
"Anna",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
]
] | We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black holes on symmetric spaces which does not depend on the duality frame used for the charges or on the special coordinates. A coordinate independent formula for the fake superpotential W, which (at infinity) represents the black hole ADM mass, is given explicitly in terms of invariants of the N=2 special geometry. |
2304.01471 | Yuk Ting Albert Law | Y.T. Albert Law | Characters, Quasinormal Modes, and Quantum de Sitter Thermodynamics | 20 pages, 2 figures. Written contribution to the Corfu Summer
Institute 2022 "School and Workshops on Elementary Particle Physics and
Gravity", 28 August - 1 October, 2022. A figure error was fixed | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note, we review some recent progress in understanding the
1-loop corrections to the Gibbons-Hawking entropy, which amounts to studying
free fields on the de Sitter static patch and the round sphere. After briefly
surveying the unitary irreducible representations of the de Sitter group
$SO(1,d+1)$ and their Harish-Chandra characters, we discuss the Lorentzian
interpretation for the 1-loop sphere path integral for a scalar. After that we
comment on how the results are modified by edge contributions for spinning
fields.
| [
{
"created": "Tue, 4 Apr 2023 02:25:12 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Apr 2023 01:35:15 GMT",
"version": "v2"
}
] | 2023-04-26 | [
[
"Law",
"Y. T. Albert",
""
]
] | In this short note, we review some recent progress in understanding the 1-loop corrections to the Gibbons-Hawking entropy, which amounts to studying free fields on the de Sitter static patch and the round sphere. After briefly surveying the unitary irreducible representations of the de Sitter group $SO(1,d+1)$ and their Harish-Chandra characters, we discuss the Lorentzian interpretation for the 1-loop sphere path integral for a scalar. After that we comment on how the results are modified by edge contributions for spinning fields. |
2101.00478 | Jan Ambjorn | Jan Ambjorn, Yuki Sato and Yoshiyuki Watabiki | Wormholes, a fluctuating cosmological constant and the Coleman mechanism | 11 pages, 2 figures | null | 10.1016/j.physletb.2021.136152 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in a two-dimensional model of quantum gravity the summation over
all possible wormhole configurations leads to a kind of Coleman mechanism where
the cosmological constant plays no role for large universes. Observers who are
unable to observe the change in topology will naturally interpret the
measurements of the size of the universe as being caused by a fluctuating
cosmological constant, rather than fluctuating topology of spacetime.
| [
{
"created": "Sat, 2 Jan 2021 16:53:48 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Ambjorn",
"Jan",
""
],
[
"Sato",
"Yuki",
""
],
[
"Watabiki",
"Yoshiyuki",
""
]
] | We show that in a two-dimensional model of quantum gravity the summation over all possible wormhole configurations leads to a kind of Coleman mechanism where the cosmological constant plays no role for large universes. Observers who are unable to observe the change in topology will naturally interpret the measurements of the size of the universe as being caused by a fluctuating cosmological constant, rather than fluctuating topology of spacetime. |
1207.3152 | Yu-Xiao Liu | Chun-E Fu, Yu-Xiao Liu, Ke Yang, Shao-Wen Wei | q-Form fields on p-branes | 14 pages, 2 figures, published version | JHEP 10 (2012) 060 | 10.1007/JHEP10(2012)060 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we give one general method for localizing any form (q-form)
field on p-branes with one extra dimension, and apply it to some typical
p-brane models. It is found that, for the thin and thick Minkowski branes with
an infinite extra dimension, the zero mode of the q-form fields with q<(p-1)/2
can be localized on the branes. For the thick Minkowski p-branes with one
finite extra dimension, the localizable q-form fields are those with q<p/2, and
there are also some massive bound Kaluza-Klein modes for these q-form fields on
the branes. For the same q-form field, the number of the bound Kaluza-Klein
modes (but except the scalar field (q=0)) increases with the dimension of the
p-branes. Moreover, on the same p-brane, the q-form fields with higher q have
less number of massive bound KK modes. While for a family of pure geometrical
thick p-branes with a compact extra dimension, the q-form fields with q<p/2
always have a localized zero mode. For a special pure geometrical thick
p-brane, there also exist some massive bound KK modes of the q-form fields with
q<p/2, whose number increases with the dimension of the p-brane.
| [
{
"created": "Fri, 13 Jul 2012 05:55:27 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Sep 2012 14:53:40 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Oct 2012 01:54:12 GMT",
"version": "v3"
}
] | 2015-03-20 | [
[
"Fu",
"Chun-E",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Yang",
"Ke",
""
],
[
"Wei",
"Shao-Wen",
""
]
] | In this paper, we give one general method for localizing any form (q-form) field on p-branes with one extra dimension, and apply it to some typical p-brane models. It is found that, for the thin and thick Minkowski branes with an infinite extra dimension, the zero mode of the q-form fields with q<(p-1)/2 can be localized on the branes. For the thick Minkowski p-branes with one finite extra dimension, the localizable q-form fields are those with q<p/2, and there are also some massive bound Kaluza-Klein modes for these q-form fields on the branes. For the same q-form field, the number of the bound Kaluza-Klein modes (but except the scalar field (q=0)) increases with the dimension of the p-branes. Moreover, on the same p-brane, the q-form fields with higher q have less number of massive bound KK modes. While for a family of pure geometrical thick p-branes with a compact extra dimension, the q-form fields with q<p/2 always have a localized zero mode. For a special pure geometrical thick p-brane, there also exist some massive bound KK modes of the q-form fields with q<p/2, whose number increases with the dimension of the p-brane. |
2303.17621 | Alessia Benedetta Platania | Alessia Platania, Jaime Redondo-Yuste | Diverging black hole entropy from quantum infrared non-localities | 5 pages + appendix | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Local higher-derivative corrections to the Einstein-Hilbert action yield
sub-leading corrections to the Bekenstein-Hawking area law. Here we show that
if the quantum effective action comprises a certain class of infrared
non-localities, the entropy of large black holes generally diverges to either
positive or negative infinity. In such theories, large spherically symmetric
black holes would be either highly chaotic or thermodynamically impossible,
respectively. In turn, this puts strong constraints on the Laurent expansion of
the form factors in the effective action.
| [
{
"created": "Thu, 30 Mar 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-04-03 | [
[
"Platania",
"Alessia",
""
],
[
"Redondo-Yuste",
"Jaime",
""
]
] | Local higher-derivative corrections to the Einstein-Hilbert action yield sub-leading corrections to the Bekenstein-Hawking area law. Here we show that if the quantum effective action comprises a certain class of infrared non-localities, the entropy of large black holes generally diverges to either positive or negative infinity. In such theories, large spherically symmetric black holes would be either highly chaotic or thermodynamically impossible, respectively. In turn, this puts strong constraints on the Laurent expansion of the form factors in the effective action. |
hep-th/0606267 | Ant\'on F. Faedo | Enrique \'Alvarez and Ant\'on F. Faedo | Renormalized masses of heavy Kaluza-Klein states | LaTeX, 22 pages. Fully rewritten and streamlined. Five and six
dimensional cases treated separatelly. References added | Phys.Rev.D74:124029,2006 | 10.1103/PhysRevD.74.124029 | IFT-UAM/CSIC-06-31 | hep-th hep-ph | null | Several ways of computing the radiative corrections to the heavy boson masses
in Kaluza-Klein theory are discussed. It is argued that only an intrinsically
higher dimensional approach embodies all the desired physical properties.
| [
{
"created": "Wed, 28 Jun 2006 14:33:40 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2006 14:28:53 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Álvarez",
"Enrique",
""
],
[
"Faedo",
"Antón F.",
""
]
] | Several ways of computing the radiative corrections to the heavy boson masses in Kaluza-Klein theory are discussed. It is argued that only an intrinsically higher dimensional approach embodies all the desired physical properties. |
1305.2919 | Daniel Grumiller | Arjun Bagchi, Stephane Detournay, Daniel Grumiller and Joan Simon | Cosmic evolution from phase transition of 3-dimensional flat space | 5 pp, v2: removed Tolman factor from the discussion and corrected
footnote [40]; essentially matches published version in PRL | Phys. Rev. Lett. 111, 181301 (2013) | 10.1103/PhysRevLett.111.181301 | TUW-13-06 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Flat space cosmology spacetimes are exact time-dependent solutions of
3-dimensional gravity theories, such as Einstein gravity or topologically
massive gravity. We exhibit a novel kind of phase transition between these
cosmological spacetimes and the Minkowski vacuum. At sufficiently high
temperature (rotating) hot flat space tunnels into a universe described by flat
space cosmology.
| [
{
"created": "Mon, 13 May 2013 20:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Oct 2013 13:10:01 GMT",
"version": "v2"
}
] | 2013-11-13 | [
[
"Bagchi",
"Arjun",
""
],
[
"Detournay",
"Stephane",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Simon",
"Joan",
""
]
] | Flat space cosmology spacetimes are exact time-dependent solutions of 3-dimensional gravity theories, such as Einstein gravity or topologically massive gravity. We exhibit a novel kind of phase transition between these cosmological spacetimes and the Minkowski vacuum. At sufficiently high temperature (rotating) hot flat space tunnels into a universe described by flat space cosmology. |
hep-th/0305037 | Maria Emilia Xavier Guimaraes | A. A. Bytsenko (DF/Uel), A. E. Gon\c{C}alves (DF/Uel), F. L. Williams
(Univ. Massachusetts) | Forms on Vector Bundles Over Compact Real Hyperbolic Manifolds | Int. Journ. Modern Physics A, vol. 18 (2003), 2041-2050 | Int.J.Mod.Phys. A18 (2003) 2041-2050 | 10.1142/S0217751X03015465 | null | hep-th | null | We study gauge theories based on abelian $p-$ forms on real compact
hyperbolic manifolds. The tensor kernel trace formula and the spectral
functions associated with free generalized gauge fields are analyzed.
| [
{
"created": "Mon, 5 May 2003 16:39:05 GMT",
"version": "v1"
},
{
"created": "Fri, 30 May 2003 18:58:14 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bytsenko",
"A. A.",
"",
"DF/Uel"
],
[
"GonÇalves",
"A. E.",
"",
"DF/Uel"
],
[
"Williams",
"F. L.",
"",
"Univ. Massachusetts"
]
] | We study gauge theories based on abelian $p-$ forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed. |
2211.06517 | Masato Nozawa | Masato Nozawa and Takashi Torii | New family of C-metrics in ${\cal N}=2$ gauged supergravity | 21 pages, 1 table, 6 figures; v2: minor modifications, refs added, to
appear in PRD | null | 10.1103/PhysRevD.107.064064 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new family of charged C-metrics in ${\cal N}=2$ gauged
supergravity in four dimensions. The double Wick rotation of the C-metric
allows us to bring our solution into a different family of the C-metrics
previously found by L\"u and V\'azquez-Poritz. In the case of zero acceleration
limit, our solution with vanishing charges reduces to the scalar haired black
holes in AdS with regular horizons. Nevertheless, it turns out that each family
of neutral solutions fails to veil the curvature singularity by the event
horizon, showing that neither of them represents the accelerated black holes
with a scalar hair. Physical solutions without visible curvature singularities
are obtained only in the case of nonvanishing charges. Causal structures of the
solution are spelled out in detail. We also present conditions under which the
solution preserves supersymmetry.
| [
{
"created": "Sat, 12 Nov 2022 00:01:01 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2023 00:17:34 GMT",
"version": "v2"
}
] | 2023-04-05 | [
[
"Nozawa",
"Masato",
""
],
[
"Torii",
"Takashi",
""
]
] | We present a new family of charged C-metrics in ${\cal N}=2$ gauged supergravity in four dimensions. The double Wick rotation of the C-metric allows us to bring our solution into a different family of the C-metrics previously found by L\"u and V\'azquez-Poritz. In the case of zero acceleration limit, our solution with vanishing charges reduces to the scalar haired black holes in AdS with regular horizons. Nevertheless, it turns out that each family of neutral solutions fails to veil the curvature singularity by the event horizon, showing that neither of them represents the accelerated black holes with a scalar hair. Physical solutions without visible curvature singularities are obtained only in the case of nonvanishing charges. Causal structures of the solution are spelled out in detail. We also present conditions under which the solution preserves supersymmetry. |
hep-th/0601178 | Shinji Tsujikawa | Shinji Tsujikawa | General analytic formulae for attractor solutions of scalar-field dark
energy models and their multi-field generalizations | 11 pages, no figures, version to appear in Physical Review D | Phys.Rev.D73:103504,2006 | 10.1103/PhysRevD.73.103504 | null | hep-th astro-ph gr-qc hep-ph | null | We study general properties of attractors for scalar-field dark energy
scenarios which possess cosmological scaling solutions. In all such models
there exists a scalar-field dominant solution with an energy fraction
\Omega_{\phi}=1 together with a scaling solution. A general analytic formula is
given to derive fixed points relevant to dark energy coupled to dark matter. We
investigate the stability of fixed points without specifying the models of dark
energy in the presence of non-relativistic dark matter and provide a general
proof that a non-phantom scalar-field dominant solution is unstable when a
stable scaling solution exists in the region \Omega_{\phi}<1. A phantom
scalar-field dominant fixed point is found to be classically stable. We also
generalize the analysis to the case of multiple scalar fields and show that for
a non-phantom scalar field assisted acceleration always occurs for all
scalar-field models which have scaling solutions. For a phantom field the
equation of state approaches that of cosmological constant as we add more
scalar fields.
| [
{
"created": "Tue, 24 Jan 2006 04:48:25 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2006 01:08:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Tsujikawa",
"Shinji",
""
]
] | We study general properties of attractors for scalar-field dark energy scenarios which possess cosmological scaling solutions. In all such models there exists a scalar-field dominant solution with an energy fraction \Omega_{\phi}=1 together with a scaling solution. A general analytic formula is given to derive fixed points relevant to dark energy coupled to dark matter. We investigate the stability of fixed points without specifying the models of dark energy in the presence of non-relativistic dark matter and provide a general proof that a non-phantom scalar-field dominant solution is unstable when a stable scaling solution exists in the region \Omega_{\phi}<1. A phantom scalar-field dominant fixed point is found to be classically stable. We also generalize the analysis to the case of multiple scalar fields and show that for a non-phantom scalar field assisted acceleration always occurs for all scalar-field models which have scaling solutions. For a phantom field the equation of state approaches that of cosmological constant as we add more scalar fields. |
hep-th/0306034 | Yan-Gang Miao | Yan-Gang Miao, Harald J.W. M\"uller-Kirsten, Dae Kil Park | Chiral Bosons in Noncommutative Spacetime | 22 pages, 1 eps figure. Note and references are added, the final
version will appear in JHEP | JHEP 0308 (2003) 038 | 10.1088/1126-6708/2003/08/038 | OU-HET 446 | hep-th | null | Underlying a general noncommutative algebra with both noncommutative
coordinates and noncommutative momenta in a (1+1)-dimensional spacetime, a
chiral boson Lagrangian with manifest Lorentz covariance is proposed by
linearly imposing a generalized self-duality condition on a noncommutative
generalization of massless real scalar fields. A significant property uncovered
for noncommutative chiral bosons is that the left- and right-moving chiral
scalars cannot be distinguished from each other, which originates from the
noncommutativity of coordinates and momenta. An interesting result is that
Dirac's method can be consistently applied to the constrained system whose
Lagrangian explicitly contains space and time. The self-duality of the
noncommutative chiral boson action does not exist.
| [
{
"created": "Wed, 4 Jun 2003 07:08:29 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 2003 07:47:12 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Miao",
"Yan-Gang",
""
],
[
"Müller-Kirsten",
"Harald J. W.",
""
],
[
"Park",
"Dae Kil",
""
]
] | Underlying a general noncommutative algebra with both noncommutative coordinates and noncommutative momenta in a (1+1)-dimensional spacetime, a chiral boson Lagrangian with manifest Lorentz covariance is proposed by linearly imposing a generalized self-duality condition on a noncommutative generalization of massless real scalar fields. A significant property uncovered for noncommutative chiral bosons is that the left- and right-moving chiral scalars cannot be distinguished from each other, which originates from the noncommutativity of coordinates and momenta. An interesting result is that Dirac's method can be consistently applied to the constrained system whose Lagrangian explicitly contains space and time. The self-duality of the noncommutative chiral boson action does not exist. |
1002.3954 | Stoytcho Yazadjiev | Stoytcho S. Yazadjiev | A Uniqueness theorem for black holes with Kaluza-Klein asymptotic in 5D
Einstein-Maxwell gravity | 14 pages, v2 comments and references added | Phys.Rev.D82:024015,2010 | 10.1103/PhysRevD.82.024015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper we prove a uniqueness theorem for stationary multi black
hole configurations with Kaluza-Klein asymptotic in a certain sector of 5D
Einstein-Maxwell gravity. We show that such multi black hole configurations are
uniquely specified by the interval structure, angular momenta of the horizons,
magnetic charges and the magnetic flux. A straightforward generalization of the
uniqueness theorem for 5D Einstein-Maxwell-dilaton gravity is also given.
| [
{
"created": "Sun, 21 Feb 2010 09:07:25 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Mar 2010 09:49:07 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Yazadjiev",
"Stoytcho S.",
""
]
] | In the present paper we prove a uniqueness theorem for stationary multi black hole configurations with Kaluza-Klein asymptotic in a certain sector of 5D Einstein-Maxwell gravity. We show that such multi black hole configurations are uniquely specified by the interval structure, angular momenta of the horizons, magnetic charges and the magnetic flux. A straightforward generalization of the uniqueness theorem for 5D Einstein-Maxwell-dilaton gravity is also given. |
0711.1618 | Leszek Hadasz | Leszek Hadasz, Zbigniew Jaskolski and Paulina Suchanek | Conformal blocks related to the R-R states in the \hat c =1 SCFT | 15 pages, no figures | Phys.Rev.D77:026012,2008 | 10.1103/PhysRevD.77.026012 | null | hep-th | null | We derive an explicit form of a family of four-point Neveu-Schwarz blocks
with $\hat c =1,$ external weights $\Delta_i = 1/8$ and arbitrary intermediate
weight. The derivation is based on a set of identities obeyed in the free
superscalar theory by correlation functions of fields satisfying Ramond
condition with respect to the bosonic (dimension 1) and the fermionic
(dimension 1/2) currents.
| [
{
"created": "Sat, 10 Nov 2007 21:40:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hadasz",
"Leszek",
""
],
[
"Jaskolski",
"Zbigniew",
""
],
[
"Suchanek",
"Paulina",
""
]
] | We derive an explicit form of a family of four-point Neveu-Schwarz blocks with $\hat c =1,$ external weights $\Delta_i = 1/8$ and arbitrary intermediate weight. The derivation is based on a set of identities obeyed in the free superscalar theory by correlation functions of fields satisfying Ramond condition with respect to the bosonic (dimension 1) and the fermionic (dimension 1/2) currents. |
2201.09420 | Luis F. Urrutia | A. G\'omez, A. Mart\'in-Ruiz and L. F. Urrutia | Effective electromagnetic actions for Lorentz violating theories
exhibiting the axial anomaly | 11 pages, 1 figure, modified introduction, references added, results
not changed, matches accepted version in PLB | null | 10.1016/j.physletb.2022.137043 | null | hep-th cond-mat.mes-hall hep-ph | http://creativecommons.org/licenses/by/4.0/ | The CPT odd contribution to the effective electromagnetic action deriving
from the vacuum polarization tensor in a large class of fermionic systems
exhibiting Lorentz invariance violation (LIV) is calculated using thermal field
theory methods, focusing upon corrections depending on the chemical potential.
The systems considered exhibit the axial anomaly and their effective actions
are described by axion electrodynamics whereby all the LIV parameters enter in
the coupling $\Theta(x)$ to the unmodified Pontryagin density. A preliminary
application to type-I tilted Weyl semimetals is briefly presented.
| [
{
"created": "Mon, 24 Jan 2022 02:23:54 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Apr 2022 03:18:56 GMT",
"version": "v2"
}
] | 2022-04-20 | [
[
"Gómez",
"A.",
""
],
[
"Martín-Ruiz",
"A.",
""
],
[
"Urrutia",
"L. F.",
""
]
] | The CPT odd contribution to the effective electromagnetic action deriving from the vacuum polarization tensor in a large class of fermionic systems exhibiting Lorentz invariance violation (LIV) is calculated using thermal field theory methods, focusing upon corrections depending on the chemical potential. The systems considered exhibit the axial anomaly and their effective actions are described by axion electrodynamics whereby all the LIV parameters enter in the coupling $\Theta(x)$ to the unmodified Pontryagin density. A preliminary application to type-I tilted Weyl semimetals is briefly presented. |
1211.4279 | Hyeyoun Chung | Hyeyoun Chung | Measures for a Multidimensional Multiverse | 14 pages | Phys. Rev. D 91, 083523 (2015) | 10.1103/PhysRevD.91.083523 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the phenomenological implications of generalizing measures to a
multidimensional multiverse. We consider a simple model in which the vacua are
nucleated from a $D$-dimensional parent spacetime through dynamical
compactification of the extra dimensions, and compute the geometric
contribution to the probability distribution of observations within the
multiverse for each measure. We then study how the shape of this probability
distribution depends on the timescales for the existence of observers, for
vacuum domination, and for curvature domination ($t_{obs}, t_{\Lambda},$ and
$t_c$, respectively.) In this work we restrict ourselves to bubbles with
positive cosmological constant, $\Lambda$. In the case of the causal patch
cutoff, when the bubble universes have $p+1$ large spatial dimensions with $p
\geq 2$, the shape of the probability distribution is such that we obtain the
coincidence of timescales $t_{obs} \sim t_{\Lambda} \sim t_c$. Moreover, the
size of the cosmological constant is related to the size of the landscape.
However, the exact shape of the probability distribution is different in the
case $p = 2$, compared to $p \geq 3$. In the case of the fat geodesic measure,
the result is even more robust: the shape of the probability distribution is
the same for all $p \geq 2$, and we once again obtain the coincidence $t_{obs}
\sim t_{\Lambda} \sim t_c$. These results require only very mild conditions on
the prior probability of the distribution of vacua in the landscape. Our work
shows that the observed double coincidence of timescales is a robust prediction
even when the multiverse is generalized to be multidimensional; that this
coincidence is not a consequence of our particular universe being
(3+1)-dimensional; and that this observable cannot be used to preferentially
select one measure over another in a multidimensional multiverse.
| [
{
"created": "Mon, 19 Nov 2012 00:37:03 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2012 19:42:30 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Nov 2014 21:53:03 GMT",
"version": "v3"
}
] | 2015-04-29 | [
[
"Chung",
"Hyeyoun",
""
]
] | We explore the phenomenological implications of generalizing measures to a multidimensional multiverse. We consider a simple model in which the vacua are nucleated from a $D$-dimensional parent spacetime through dynamical compactification of the extra dimensions, and compute the geometric contribution to the probability distribution of observations within the multiverse for each measure. We then study how the shape of this probability distribution depends on the timescales for the existence of observers, for vacuum domination, and for curvature domination ($t_{obs}, t_{\Lambda},$ and $t_c$, respectively.) In this work we restrict ourselves to bubbles with positive cosmological constant, $\Lambda$. In the case of the causal patch cutoff, when the bubble universes have $p+1$ large spatial dimensions with $p \geq 2$, the shape of the probability distribution is such that we obtain the coincidence of timescales $t_{obs} \sim t_{\Lambda} \sim t_c$. Moreover, the size of the cosmological constant is related to the size of the landscape. However, the exact shape of the probability distribution is different in the case $p = 2$, compared to $p \geq 3$. In the case of the fat geodesic measure, the result is even more robust: the shape of the probability distribution is the same for all $p \geq 2$, and we once again obtain the coincidence $t_{obs} \sim t_{\Lambda} \sim t_c$. These results require only very mild conditions on the prior probability of the distribution of vacua in the landscape. Our work shows that the observed double coincidence of timescales is a robust prediction even when the multiverse is generalized to be multidimensional; that this coincidence is not a consequence of our particular universe being (3+1)-dimensional; and that this observable cannot be used to preferentially select one measure over another in a multidimensional multiverse. |
hep-th/0409165 | Ion Vasile Vancea | Ion V. Vancea | Topological Strings and $D$-Branes | Prepared for the Second International Conference on Fundamental
Interactions, June 6-12, 2004, Pedra Azul, Espirito Santo, Brazil | null | null | null | hep-th | null | In this talk we give a brief review of the algebraic structure behind the
open and closed topological strings and $D$-branes and emphasize the role of
tensor category and the Frobenius algebra. Also, we speculate on the
possibility of generalizing the topological strings and the $D$-branes through
the subfactor theory.
| [
{
"created": "Thu, 16 Sep 2004 00:29:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vancea",
"Ion V.",
""
]
] | In this talk we give a brief review of the algebraic structure behind the open and closed topological strings and $D$-branes and emphasize the role of tensor category and the Frobenius algebra. Also, we speculate on the possibility of generalizing the topological strings and the $D$-branes through the subfactor theory. |
1907.03531 | Razvan-Gheorghe Gurau | Razvan Gurau | Notes on Tensor Models and Tensor Field Theories | version 2, some references added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tensor models and tensor field theories admit a $1/N$ expansion and a melonic
large $N$ limit which is simpler than the planar limit of random matrices and
richer than the large $N$ limit of vector models. They provide examples of
analytically tractable but non trivial strongly coupled quantum field theories
and lead to a new class of conformal field theories. We present a compact
introduction to the topic, covering both some of the classical results in the
field, like the details of the $1/N$ expansion, as well as recent developments.
These notes are loosely bases on four lectures given at the Journ\'ees de
physique math\'ematique Lyon 2019: Random tensors and SYK models.
| [
{
"created": "Mon, 8 Jul 2019 11:59:43 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2019 09:18:17 GMT",
"version": "v2"
}
] | 2019-07-16 | [
[
"Gurau",
"Razvan",
""
]
] | Tensor models and tensor field theories admit a $1/N$ expansion and a melonic large $N$ limit which is simpler than the planar limit of random matrices and richer than the large $N$ limit of vector models. They provide examples of analytically tractable but non trivial strongly coupled quantum field theories and lead to a new class of conformal field theories. We present a compact introduction to the topic, covering both some of the classical results in the field, like the details of the $1/N$ expansion, as well as recent developments. These notes are loosely bases on four lectures given at the Journ\'ees de physique math\'ematique Lyon 2019: Random tensors and SYK models. |
1807.02521 | Rudolph Kalveks Dr | Santiago Cabrera, Amihay Hanany, Rudolph Kalveks | Quiver Theories and Formulae for Slodowy Slices of Classical Algebras | 66 pages, 12 figures | null | 10.1016/j.nuclphysb.2018.12.022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilise SUSY quiver gauge theories to compute properties of Slodowy
slices; these are spaces transverse to the nilpotent orbits of a Lie algebra
$\mathfrak g$. We analyse classes of quiver theories, with Classical gauge and
flavour groups, whose Higgs branch Hilbert series are the intersections between
Slodowy slices and the nilpotent cone $\mathcal S\cap \mathcal N$ of
$\mathfrak{g}$. We calculate refined Hilbert series for Classical algebras up
to rank $4$ (and $A_5$), and find descriptions of their representation matrix
generators as algebraic varieties encoding the relations of the chiral ring. We
also analyse a class of dual quiver theories, whose Coulomb branches are
intersections $\mathcal S\cap \mathcal N$; such dual quiver theories exist for
the Slodowy slices of $A$ algebras, but are limited to a subset of the Slodowy
slices of $BCD$ algebras. The analysis opens new questions about the extent of
$3d$ mirror symmetry within the class of SCFTs known as $T_\sigma^\rho(G)$
theories. We also give simple group theoretic formulae for the Hilbert series
of Slodowy slices; these draw directly on the $SU(2)$ embedding into $G$ of the
associated nilpotent orbit, and the Hilbert series of the nilpotent cone.
| [
{
"created": "Fri, 6 Jul 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2018 16:19:12 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Dec 2018 16:35:42 GMT",
"version": "v3"
}
] | 2019-01-30 | [
[
"Cabrera",
"Santiago",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Kalveks",
"Rudolph",
""
]
] | We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra $\mathfrak g$. We analyse classes of quiver theories, with Classical gauge and flavour groups, whose Higgs branch Hilbert series are the intersections between Slodowy slices and the nilpotent cone $\mathcal S\cap \mathcal N$ of $\mathfrak{g}$. We calculate refined Hilbert series for Classical algebras up to rank $4$ (and $A_5$), and find descriptions of their representation matrix generators as algebraic varieties encoding the relations of the chiral ring. We also analyse a class of dual quiver theories, whose Coulomb branches are intersections $\mathcal S\cap \mathcal N$; such dual quiver theories exist for the Slodowy slices of $A$ algebras, but are limited to a subset of the Slodowy slices of $BCD$ algebras. The analysis opens new questions about the extent of $3d$ mirror symmetry within the class of SCFTs known as $T_\sigma^\rho(G)$ theories. We also give simple group theoretic formulae for the Hilbert series of Slodowy slices; these draw directly on the $SU(2)$ embedding into $G$ of the associated nilpotent orbit, and the Hilbert series of the nilpotent cone. |
hep-th/9801011 | Ilka Agricola | Ilka Agricola (Humboldt-Universitaet zu Berlin) | Covering groups of the gauge group for the standard elementary particle
model | 11 pages, LaTeX2e | Nucl.Phys. B518 (1998) 729-744 | 10.1016/S0550-3213(98)00101-1 | MPI-PhT/97-44 | hep-th | null | We determine all Lie groups compatible with the gauge structure of the
Standard Elementary Particle Model (SM) and their representations. The groups
are specified by congruence equations of quantum numbers. By comparison with
the experimental results, we single out one Lie group and show that this choice
implies certain old and new correlations between the quantum numbers of the SM
quantum fields as well as some hitherto unknown group theoretical properties of
the Higgs mechanism.
| [
{
"created": "Mon, 5 Jan 1998 08:23:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Agricola",
"Ilka",
"",
"Humboldt-Universitaet zu Berlin"
]
] | We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are specified by congruence equations of quantum numbers. By comparison with the experimental results, we single out one Lie group and show that this choice implies certain old and new correlations between the quantum numbers of the SM quantum fields as well as some hitherto unknown group theoretical properties of the Higgs mechanism. |
2302.12373 | Reginaldo Prado-Fuentes | Pedro Garc\'ia, Maria Pilar Garcia del Moral, Joselen M. Pe\~na,
Reginaldo Prado-Fuentes | Q-ball-like solitons on the M2-brane with worldvolume fluxes | Latex, 22 pg, 9 figures. For the sake of clarity, the writing of the
paper has been improved. Three new figures and new explanations have been
added and the order of sections has been changed. A new subsection on
localised Q-ball-like solutions and a discussion on stability have been
added. The previous results remain unchanged | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we obtain a family of analytic solutions to the nonlinear
partial differential equations that describe the dynamics of the bosonic part
of the mass operator of a M2-brane compactified on $M_9\times T^2$ in the LCG
with worldvolume fluxes. Those fluxes can be induced by a constant and
quantized supergravity 3-form. This sector of the theory, at supersymmetric
level, has the interesting property of having a discrete spectrum. We have
focused on the characterization of Q-ball-like (QBL) solitons on the M2-brane
with worldvolume fluxes. Two scenarios are analysed: one in which the system is
isotropic and the other anisotropic. In the isotropic case, we obtain analytic
families of string-like solutions to the membrane equations of motion in the
presence of a non-vanishing symplectic gauge field that satisfy all
constraints. We explicitly show a localised family of QBL solutions. It is
demonstrated that although the solutions generally exhibit dispersion, they
also allow for dispersion-free solutions. In the non-isotropic case, we obtain
full-fledged membrane QBL solutions by numerical methods. We characterize some
other properties of the solutions found. The dynamics of the QBL solutions are
also encountered. We analyze the Lorentz boosts and Galilean transformations.
Since we work in the Light Cone Gauge, the Lorentz transformed solutions are
not automatically solutions, rather some extra conditions must be imposed. Only
a subset of the solutions remain. We discuss some examples. The QBL solitons of
the M2-brane that have been discovered contain an interaction term between the
Noether charge of the Q-ball and the topological monopole charge associated
with the worldvolume flux. The monopole charge increases the stability of the
analytic solutions against fission...
| [
{
"created": "Fri, 24 Feb 2023 00:32:21 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2023 00:01:13 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Mar 2024 04:45:35 GMT",
"version": "v3"
}
] | 2024-03-05 | [
[
"García",
"Pedro",
""
],
[
"del Moral",
"Maria Pilar Garcia",
""
],
[
"Peña",
"Joselen M.",
""
],
[
"Prado-Fuentes",
"Reginaldo",
""
]
] | In this paper we obtain a family of analytic solutions to the nonlinear partial differential equations that describe the dynamics of the bosonic part of the mass operator of a M2-brane compactified on $M_9\times T^2$ in the LCG with worldvolume fluxes. Those fluxes can be induced by a constant and quantized supergravity 3-form. This sector of the theory, at supersymmetric level, has the interesting property of having a discrete spectrum. We have focused on the characterization of Q-ball-like (QBL) solitons on the M2-brane with worldvolume fluxes. Two scenarios are analysed: one in which the system is isotropic and the other anisotropic. In the isotropic case, we obtain analytic families of string-like solutions to the membrane equations of motion in the presence of a non-vanishing symplectic gauge field that satisfy all constraints. We explicitly show a localised family of QBL solutions. It is demonstrated that although the solutions generally exhibit dispersion, they also allow for dispersion-free solutions. In the non-isotropic case, we obtain full-fledged membrane QBL solutions by numerical methods. We characterize some other properties of the solutions found. The dynamics of the QBL solutions are also encountered. We analyze the Lorentz boosts and Galilean transformations. Since we work in the Light Cone Gauge, the Lorentz transformed solutions are not automatically solutions, rather some extra conditions must be imposed. Only a subset of the solutions remain. We discuss some examples. The QBL solitons of the M2-brane that have been discovered contain an interaction term between the Noether charge of the Q-ball and the topological monopole charge associated with the worldvolume flux. The monopole charge increases the stability of the analytic solutions against fission... |
hep-th/9306085 | Andrei Linde | Renata Kallosh and Tomas Ortin | Killing Spinor Identities | 9 pages, Stanford University preprint SU-ITP-93-16, LaTeX file | null | null | null | hep-th | null | We have found generic Killing spinor identities which bosonic equations of
motion have to satisfy in supersymmetric theories if the solutions admit
Killing spinors. Those identities constrain possible quantum corrections to
bosonic solutions with unbroken supersymmetries. As an application we show that
purely electric static extreme dilaton black holes may acquire specific quantum
corrections, but the purely magnetic ones cannot.
| [
{
"created": "Fri, 18 Jun 1993 06:40:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kallosh",
"Renata",
""
],
[
"Ortin",
"Tomas",
""
]
] | We have found generic Killing spinor identities which bosonic equations of motion have to satisfy in supersymmetric theories if the solutions admit Killing spinors. Those identities constrain possible quantum corrections to bosonic solutions with unbroken supersymmetries. As an application we show that purely electric static extreme dilaton black holes may acquire specific quantum corrections, but the purely magnetic ones cannot. |
hep-th/9310131 | Philip Argyres | Philip C. Argyres and S.-H. Henry Tye | Tree scattering amplitudes of the spin-4/3 fractional superstring I: the
untwisted sectors | 42 pages, 4 figures, latex, IASSNS-HEP-93/57, CLNS-92/1176 | Phys.Rev. D49 (1994) 5326-5348 | 10.1103/PhysRevD.49.5326 | null | hep-th | null | Scattering amplitudes of the spin-4/3 fractional superstring are shown to
satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level
in the string perturbation expansion. This fractional superstring is
characterized by the spin-4/3 fractional superconformal algebra---a
parafermionic algebra studied by Zamolodchikov and Fateev involving chiral
spin-4/3 currents on the world-sheet in addition to the stress-energy tensor.
Examples of tree scattering amplitudes are calculated in an explicit c=5
representation of this fractional superconformal algebra realized in terms of
free bosons on the string world-sheet. The target space of this model is
three-dimensional flat Minkowski space-time with a level-2 Kac-Moody so(2,1)
internal symmetry, and has bosons and fermions in its spectrum. Its closed
string version contains a graviton in its spectrum. Tree-level unitarity (i.e.,
the no-ghost theorem for space-time bosonic physical states) can be shown for
this model. Since the critical central charge of the spin-4/3 fractional
superstring theory is 10, this c=5 representation cannot be consistent at the
string loop level. The existence of a critical fractional superstring
containing a four-dimensional space-time remains an open question.
| [
{
"created": "Wed, 20 Oct 1993 16:02:17 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Argyres",
"Philip C.",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by the spin-4/3 fractional superconformal algebra---a parafermionic algebra studied by Zamolodchikov and Fateev involving chiral spin-4/3 currents on the world-sheet in addition to the stress-energy tensor. Examples of tree scattering amplitudes are calculated in an explicit c=5 representation of this fractional superconformal algebra realized in terms of free bosons on the string world-sheet. The target space of this model is three-dimensional flat Minkowski space-time with a level-2 Kac-Moody so(2,1) internal symmetry, and has bosons and fermions in its spectrum. Its closed string version contains a graviton in its spectrum. Tree-level unitarity (i.e., the no-ghost theorem for space-time bosonic physical states) can be shown for this model. Since the critical central charge of the spin-4/3 fractional superstring theory is 10, this c=5 representation cannot be consistent at the string loop level. The existence of a critical fractional superstring containing a four-dimensional space-time remains an open question. |
hep-th/0303193 | Alfonso V. Ramallo | J. Mas and A. V. Ramallo | Supersymmetric Intersections of M-branes and pp-waves | 41 pages, LaTeX; v2 references added | JHEP 0305:021,2003 | 10.1088/1126-6708/2003/05/021 | US-FT-1/03 | hep-th | null | We study supersymmetric intersections of M2 and M5 branes with different
pp-waves of M-theory. We consider first M-brane probes in the background of
pp-waves and determine under which conditions the embedding is supersymmetric.
We particularize our formalism to the case of pp-waves with 32, 24 and 20
supersymmetries. We also construct supergravity solutions for the brane-wave
system. Generically these solutions are delocalised along some directions
transverse to the brane and preserve the same number of supersymmetries as in
the brane probe approach.
| [
{
"created": "Fri, 21 Mar 2003 18:31:53 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2003 17:23:56 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Mas",
"J.",
""
],
[
"Ramallo",
"A. V.",
""
]
] | We study supersymmetric intersections of M2 and M5 branes with different pp-waves of M-theory. We consider first M-brane probes in the background of pp-waves and determine under which conditions the embedding is supersymmetric. We particularize our formalism to the case of pp-waves with 32, 24 and 20 supersymmetries. We also construct supergravity solutions for the brane-wave system. Generically these solutions are delocalised along some directions transverse to the brane and preserve the same number of supersymmetries as in the brane probe approach. |
1010.5241 | Alex Dahlen | Adam R. Brown and Alex Dahlen | Giant Leaps and Minimal Branes in Multi-Dimensional Flux Landscapes | Minor updates to agree with published version. 9 pages, 4 figures | Phys.Rev.D84:023513,2011 | 10.1103/PhysRevD.84.023513 | PUPT-2356 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a standard story about decay in multi-dimensional flux landscapes:
that from any state, the fastest decay is to take a small step, discharging one
flux unit at a time; that fluxes with the same coupling constant are
interchangeable; and that states with N units of a given flux have the same
decay rate as those with -N. We show that this standard story is false. The
fastest decay is a giant leap that discharges many different fluxes in unison;
this decay is mediated by a 'minimal' brane that wraps the internal manifold
and exhibits behavior not visible in the effective theory. We discuss the
implications for the cosmological constant.
| [
{
"created": "Mon, 25 Oct 2010 20:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Sep 2011 23:49:48 GMT",
"version": "v2"
}
] | 2011-09-16 | [
[
"Brown",
"Adam R.",
""
],
[
"Dahlen",
"Alex",
""
]
] | There is a standard story about decay in multi-dimensional flux landscapes: that from any state, the fastest decay is to take a small step, discharging one flux unit at a time; that fluxes with the same coupling constant are interchangeable; and that states with N units of a given flux have the same decay rate as those with -N. We show that this standard story is false. The fastest decay is a giant leap that discharges many different fluxes in unison; this decay is mediated by a 'minimal' brane that wraps the internal manifold and exhibits behavior not visible in the effective theory. We discuss the implications for the cosmological constant. |
hep-th/0405166 | Jerzy Lukierski | A.Bette (Royal Inst.Techn., Sodertalje), A. de Azcarraga
(Dept.Fis.Teor. and IFIC, Univ. Valencia), J.Lukierski (Inst.Theor.Phys.,
Univ. Wroclaw), C. Miquel-Espanya (Dept.Fis.Teor. and IFIC, Univ. Valencia) | Massive Relativistic Particle Model with Spin and Electric Charge from
Two-Twistor Dynamics | LaTeX, 15 pages. A clarifying comment and a formula added. To appear
in PLB | Phys.Lett. B595 (2004) 491-497 | 10.1016/j.physletb.2004.06.051 | FTUV-04-0519, IFIC-04-16, May 2004 IFT UWr 1/04 | hep-th | null | The sixteen real coordinates of two-twistor space are transformed by a
nonlinear mapping into an enlarged space-time framework. The standard
relativistic phase space of coordinates $(X_\mu, P_\mu)$ is supplemented by a
six-parameter spin phase manifold (two pairs $(\eta_\alpha,\sigma_\alpha)$ and
$(\bar{\eta}_{\dot\alpha}, \bar{\sigma}_{\dot{\alpha}})$ of canonically
conjugated Weyl spinors constrained by two second class constraints) and the
electric charge phase space ($e,\phi$). The free two-twistor classical
mechanics is rewritten in this enlarged relativistic phase space as a model for
a relativistic particle. Definite values for the mass, spin and the electric
charge of the particle are introduced by means of three first class
constraints.
| [
{
"created": "Wed, 19 May 2004 14:20:17 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2004 16:15:08 GMT",
"version": "v2"
},
{
"created": "Mon, 31 May 2004 11:00:03 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Jun 2004 12:50:54 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Bette",
"A.",
"",
"Royal Inst.Techn., Sodertalje"
],
[
"de Azcarraga",
"A.",
"",
"Dept.Fis.Teor. and IFIC, Univ. Valencia"
],
[
"Lukierski",
"J.",
"",
"Inst.Theor.Phys.,\n Univ. Wroclaw"
],
[
"Miquel-Espanya",
"C.",
"",
"Dept.Fis.Teor. ... | The sixteen real coordinates of two-twistor space are transformed by a nonlinear mapping into an enlarged space-time framework. The standard relativistic phase space of coordinates $(X_\mu, P_\mu)$ is supplemented by a six-parameter spin phase manifold (two pairs $(\eta_\alpha,\sigma_\alpha)$ and $(\bar{\eta}_{\dot\alpha}, \bar{\sigma}_{\dot{\alpha}})$ of canonically conjugated Weyl spinors constrained by two second class constraints) and the electric charge phase space ($e,\phi$). The free two-twistor classical mechanics is rewritten in this enlarged relativistic phase space as a model for a relativistic particle. Definite values for the mass, spin and the electric charge of the particle are introduced by means of three first class constraints. |
2201.07778 | Gustav Mogull | Gustav Uhre Jakobsen, Gustav Mogull | Conservative and radiative dynamics of spinning bodies at third
post-Minkowskian order using worldline quantum field theory | 5 pages, 2 figures + appendices | null | 10.1103/PhysRevLett.128.141102 | HU-EP-22/03-RTG | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the spinning worldline quantum field theory formalism we calculate the
quadratic-in-spin momentum impulse $\Delta p_i^\mu$ and spin kick $\Delta
a_i^\mu$ from a scattering of two arbitrarily oriented spinning massive bodies
(black holes or neutron stars) in a weak gravitational background up to third
post-Minkowskian (PM) order ($G^3$). Two-loop Feynman integrals are performed
in the potential region, yielding conservative results. For spins aligned to
the orbital angular momentum we find a conservative scattering angle that is
fully consistent with state-of-the-art post-Newtonian results. Using the 2PM
radiated angular momentum previously obtained by Plefka, Steinhoff and the
present authors we generalize the angle to include radiation-reaction effects,
in which case it avoids divergences in the high-energy limit.
| [
{
"created": "Wed, 19 Jan 2022 18:37:35 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2022 16:57:43 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Apr 2022 16:19:04 GMT",
"version": "v3"
}
] | 2022-10-05 | [
[
"Jakobsen",
"Gustav Uhre",
""
],
[
"Mogull",
"Gustav",
""
]
] | Using the spinning worldline quantum field theory formalism we calculate the quadratic-in-spin momentum impulse $\Delta p_i^\mu$ and spin kick $\Delta a_i^\mu$ from a scattering of two arbitrarily oriented spinning massive bodies (black holes or neutron stars) in a weak gravitational background up to third post-Minkowskian (PM) order ($G^3$). Two-loop Feynman integrals are performed in the potential region, yielding conservative results. For spins aligned to the orbital angular momentum we find a conservative scattering angle that is fully consistent with state-of-the-art post-Newtonian results. Using the 2PM radiated angular momentum previously obtained by Plefka, Steinhoff and the present authors we generalize the angle to include radiation-reaction effects, in which case it avoids divergences in the high-energy limit. |
hep-th/9608180 | Dmitri Gitman | D.M. Gitman | Path Integrals and Pseudoclassical Description for Spinning Particles in
Arbitrary Dimensions | 27 pages, LaTeX | Nucl.Phys. B488 (1997) 490-512 | 10.1016/S0550-3213(96)00691-8 | IFUSP/P-1228, August/1996 | hep-th | null | The propagator of a spinning particle in external Abelian field and in
arbitrary dimensions is presented by means of a path integral. The problem has
different solutions in even and odd dimensions. In even dimensions the
representation is just a generalization of one in four dimensions (it has been
known before). In this case a gauge invariant part of the effective action in
the path integral has a form of the standard (Berezin-Marinov) pseudoclassical
action. In odd dimensions the solution is presented for the first time and, in
particular, it turns out that the gauge invariant part of the effective action
differs from the standard one. We propose this new action as a candidate to
describe spinning particles in odd dimensions. Studying the hamiltonization of
the pseudoclassical theory with this action, we show that the operator
quantization leads to adequate minimal quantum theory of spinning particles in
odd dimensions. In contrast with the models proposed formerly in this case the
new one admits both the operator and the path integral quantization. Finally
the consideration is generalized for the case of the particle with anomalous
magnetic moment.
| [
{
"created": "Tue, 27 Aug 1996 19:18:31 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gitman",
"D. M.",
""
]
] | The propagator of a spinning particle in external Abelian field and in arbitrary dimensions is presented by means of a path integral. The problem has different solutions in even and odd dimensions. In even dimensions the representation is just a generalization of one in four dimensions (it has been known before). In this case a gauge invariant part of the effective action in the path integral has a form of the standard (Berezin-Marinov) pseudoclassical action. In odd dimensions the solution is presented for the first time and, in particular, it turns out that the gauge invariant part of the effective action differs from the standard one. We propose this new action as a candidate to describe spinning particles in odd dimensions. Studying the hamiltonization of the pseudoclassical theory with this action, we show that the operator quantization leads to adequate minimal quantum theory of spinning particles in odd dimensions. In contrast with the models proposed formerly in this case the new one admits both the operator and the path integral quantization. Finally the consideration is generalized for the case of the particle with anomalous magnetic moment. |
1404.2767 | Andrei Constantin | Evgeny I. Buchbinder, Andrei Constantin, Andre Lukas | A Heterotic Standard Model with B-L Symmetry and a Stable Proton | 23 pages Latex | JHEP 06 (2014) 100 | 10.1007/JHEP06(2014)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider heterotic Calabi-Yau compactifications with S(U(4)xU(1))
background gauge fields. These models lead to gauge groups with an additional
U(1) factor which, under certain conditions, can combine with hypercharge to a
B-L symmetry. The associated gauge boson is automatically super-massive and,
hence, does not constitute a phenomenological problem. We illustrate this class
of compactifications with a model based on the monad construction, which leads
to a supersymmetric standard model with three families of quarks and leptons,
one pair of Higgs doublets, three right-handed neutrinos and no exotics charged
under the standard model group. The presence of the B-L symmetry means that the
model is safe from proton decay induced by dimension four operators. Due to the
presence of a special locus in moduli space where the bundle structure group is
Abelian and the low-energy symmetry enhances we can also show the absence of
dimension five proton-decay inducing operators.
| [
{
"created": "Thu, 10 Apr 2014 10:48:07 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 2014 17:17:08 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Lukas",
"Andre",
""
]
] | We consider heterotic Calabi-Yau compactifications with S(U(4)xU(1)) background gauge fields. These models lead to gauge groups with an additional U(1) factor which, under certain conditions, can combine with hypercharge to a B-L symmetry. The associated gauge boson is automatically super-massive and, hence, does not constitute a phenomenological problem. We illustrate this class of compactifications with a model based on the monad construction, which leads to a supersymmetric standard model with three families of quarks and leptons, one pair of Higgs doublets, three right-handed neutrinos and no exotics charged under the standard model group. The presence of the B-L symmetry means that the model is safe from proton decay induced by dimension four operators. Due to the presence of a special locus in moduli space where the bundle structure group is Abelian and the low-energy symmetry enhances we can also show the absence of dimension five proton-decay inducing operators. |
hep-th/9602011 | null | Hitoshi Nishino (Dept. of Physics, Univ. of Maryland, and Dept. of
Physics and Astronomy, Howard Univ.) and S. James Gates, Jr. (Dept. of
Physics, Univ. of Maryland) | Toward an Off - Shell 11D Supergravity Limit of M - Theory | 13 pages, LATEX (all macros included. No figures) | Phys.Lett. B388 (1996) 504-511 | 10.1016/S0370-2693(96)01193-8 | UMDEPP 96-61 | hep-th | null | We demonstrate that in addition to the usual fourth-rank superfield $(W_{a b
c d})$ which describes the on-shell theory, a spinor superfield $(J_\a )$ can
be introduced into the 11D geometrical tensors with engineering dimensions less
or equal to one in such a way to satisfy the Bianchi identities in superspace.
The components arising from $J_\a$ are identified as some of the auxiliary
fields required for a full off-shell formulation. Our result indicates that
eleven dimensional supergravity does not have to be completely on-shell. The
$\k\-$symmetry of the supermembrane action in the presence of our partial
off-shell supergravity background is also confirmed. Our modifications to
eleven-dimensional supergravity theory are thus likely relevant for M-theory.
We suggest our proposal as a significant systematic off-shell generalization of
eleven-dimensional supergravity theory.
| [
{
"created": "Sat, 3 Feb 1996 00:19:32 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Nishino",
"Hitoshi",
"",
"Dept. of Physics, Univ. of Maryland, and Dept. of\n Physics and Astronomy, Howard Univ."
],
[
"Gates,",
"S. James",
"Jr.",
"Dept. of\n Physics, Univ. of Maryland"
]
] | We demonstrate that in addition to the usual fourth-rank superfield $(W_{a b c d})$ which describes the on-shell theory, a spinor superfield $(J_\a )$ can be introduced into the 11D geometrical tensors with engineering dimensions less or equal to one in such a way to satisfy the Bianchi identities in superspace. The components arising from $J_\a$ are identified as some of the auxiliary fields required for a full off-shell formulation. Our result indicates that eleven dimensional supergravity does not have to be completely on-shell. The $\k\-$symmetry of the supermembrane action in the presence of our partial off-shell supergravity background is also confirmed. Our modifications to eleven-dimensional supergravity theory are thus likely relevant for M-theory. We suggest our proposal as a significant systematic off-shell generalization of eleven-dimensional supergravity theory. |
hep-th/0303054 | Calin Iuliu Lazaroiu | K. Landsteiner, C. I. Lazaroiu | Geometric regularizations and dual conifold transitions | 18 pages | JHEP 0304:028,2003 | 10.1088/1126-6708/2003/04/028 | HU-EP 03/14 | hep-th | null | We consider a geometric regularization for the class of conifold transitions
relating D-brane systems on noncompact Calabi-Yau spaces to certain flux
backgrounds. This regularization respects the SL(2,Z) invariance of the flux
superpotential, and allows for computation of the relevant periods through the
method of Picard-Fuchs equations. The regularized geometry is a noncompact
Calabi-Yau which can be viewed as a monodromic fibration, with the nontrivial
monodromy being induced by the regulator. It reduces to the original,
non-monodromic background when the regulator is removed. Using this
regularization, we discuss the simple case of the local conifold, and show how
the relevant field-theoretic information can be extracted in this approach.
| [
{
"created": "Fri, 7 Mar 2003 09:28:20 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Landsteiner",
"K.",
""
],
[
"Lazaroiu",
"C. I.",
""
]
] | We consider a geometric regularization for the class of conifold transitions relating D-brane systems on noncompact Calabi-Yau spaces to certain flux backgrounds. This regularization respects the SL(2,Z) invariance of the flux superpotential, and allows for computation of the relevant periods through the method of Picard-Fuchs equations. The regularized geometry is a noncompact Calabi-Yau which can be viewed as a monodromic fibration, with the nontrivial monodromy being induced by the regulator. It reduces to the original, non-monodromic background when the regulator is removed. Using this regularization, we discuss the simple case of the local conifold, and show how the relevant field-theoretic information can be extracted in this approach. |
1003.1998 | Andrew Randono | Leonardo Modesto and Andrew Randono | Entropic corrections to Newton's law | 7 pages, 2 color figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been known for some time that there is a deep connection between
thermodynamics and gravity, with perhaps the most dramatic implication that the
Einstein equations can be viewed as a thermodynamic equation of state. Recently
Verlinde has proposed a model for gravity with a simple statistical mechanical
interpretation that is applicable in the non-relatvistic regime. After
critically analyzing the construction, we present a strong consistency check of
the model. Specifically, we consider two well-motivated corrections to the
area-entropy relation, the log correction and the volume correction, and follow
Verlinde's construction to derive corrections to Newton's law of gravitation.
We show that the deviations from Newton's law stemming from the log correction
have the same form as the lowest order quantum effects of perturbative quantum
gravity, and the deviations stemming from the volume correction have the same
form as some modified Newtonian gravity models designed to explain the
anomalous galactic rotation curves.
| [
{
"created": "Tue, 9 Mar 2010 23:46:56 GMT",
"version": "v1"
}
] | 2010-03-11 | [
[
"Modesto",
"Leonardo",
""
],
[
"Randono",
"Andrew",
""
]
] | It has been known for some time that there is a deep connection between thermodynamics and gravity, with perhaps the most dramatic implication that the Einstein equations can be viewed as a thermodynamic equation of state. Recently Verlinde has proposed a model for gravity with a simple statistical mechanical interpretation that is applicable in the non-relatvistic regime. After critically analyzing the construction, we present a strong consistency check of the model. Specifically, we consider two well-motivated corrections to the area-entropy relation, the log correction and the volume correction, and follow Verlinde's construction to derive corrections to Newton's law of gravitation. We show that the deviations from Newton's law stemming from the log correction have the same form as the lowest order quantum effects of perturbative quantum gravity, and the deviations stemming from the volume correction have the same form as some modified Newtonian gravity models designed to explain the anomalous galactic rotation curves. |
1605.03974 | Nana Geraldine Cabo Bizet Dr | Nana Cabo Bizet, Oscar Loaiza-Brito and Ivonne Zavala | Mirror quintic vacua: hierarchies and inflation | 50 pages, 14 figures | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the moduli space of type IIB string theory flux compactifications on
the mirror of the CY quintic 3-fold in P4. We focus on the dynamics of the four
dimensional moduli space, defined by the axio-dilaton {\tau} and the complex
structure modulus z. The z-plane has critical points, the conifold, the
orbifold and the large complex structure with non trivial monodromies. We find
the solutions to the Picard-Fuchs equations obeyed by the periods of the CY in
the full z-plane as a series expansion in z around the critical points to
arbitrary order. This allows us to discard fake vacua, which appear as a result
of keeping only the leading order term in the series expansions. Due to
monodromies vacua are located at a given sheet in the z-plane. A dS vacuum
appears for a set of fluxes. We revisit vacua with hierarchies among the 4D and
6D physical scales close to the conifold point and compare them with those
found at leading order in [1, 2]. We explore slow-roll inflationary directions
of the scalar potential by looking at regions where the multi-field slow-roll
parameters {\epsilon} and {\eta} are smaller than one. The value of {\epsilon}
depends strongly on the approximation of the periods and to achieve a stable
value, several orders in the expansion are needed. We do not find realisations
of single field axion monodromy inflation. Instead, we find that inflationary
regions appear along linear combinations of the four real field directions and
for certain configurations of fluxes.
| [
{
"created": "Thu, 12 May 2016 20:11:13 GMT",
"version": "v1"
}
] | 2016-05-27 | [
[
"Bizet",
"Nana Cabo",
""
],
[
"Loaiza-Brito",
"Oscar",
""
],
[
"Zavala",
"Ivonne",
""
]
] | We study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in P4. We focus on the dynamics of the four dimensional moduli space, defined by the axio-dilaton {\tau} and the complex structure modulus z. The z-plane has critical points, the conifold, the orbifold and the large complex structure with non trivial monodromies. We find the solutions to the Picard-Fuchs equations obeyed by the periods of the CY in the full z-plane as a series expansion in z around the critical points to arbitrary order. This allows us to discard fake vacua, which appear as a result of keeping only the leading order term in the series expansions. Due to monodromies vacua are located at a given sheet in the z-plane. A dS vacuum appears for a set of fluxes. We revisit vacua with hierarchies among the 4D and 6D physical scales close to the conifold point and compare them with those found at leading order in [1, 2]. We explore slow-roll inflationary directions of the scalar potential by looking at regions where the multi-field slow-roll parameters {\epsilon} and {\eta} are smaller than one. The value of {\epsilon} depends strongly on the approximation of the periods and to achieve a stable value, several orders in the expansion are needed. We do not find realisations of single field axion monodromy inflation. Instead, we find that inflationary regions appear along linear combinations of the four real field directions and for certain configurations of fluxes. |
2203.13023 | Chris White | Chris D. White | The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and
collider physics | 32 pages, see also the overview article arXiv:2203.13011. Updated to
match published version | J. Phys. A: Math. Theor. 55 (2022) 443013 | 10.1088/1751-8121/ac8649 | SAGEX-22-13 | hep-th hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore how various topics in modern scattering amplitudes research find
application in the description of collider physics processes. After a brief
review of experimentally measured quantities and how they are related to
amplitudes, we summarise recent developments in perturbative QFT, and how they
have impacted our ability to do precision physics with colliders. Next, we
explain how the study of (next-to-)soft radiation is directly relevant to
increasing theoretical precision for key processes at the LHC and related
experiments. Finally, we describe the various techniques that are used to turn
theoretical calculations into something more closely approaching the output of
a particle accelerator.
| [
{
"created": "Thu, 24 Mar 2022 12:00:27 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2022 15:52:11 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jan 2023 14:36:56 GMT",
"version": "v3"
}
] | 2023-01-10 | [
[
"White",
"Chris D.",
""
]
] | We explore how various topics in modern scattering amplitudes research find application in the description of collider physics processes. After a brief review of experimentally measured quantities and how they are related to amplitudes, we summarise recent developments in perturbative QFT, and how they have impacted our ability to do precision physics with colliders. Next, we explain how the study of (next-to-)soft radiation is directly relevant to increasing theoretical precision for key processes at the LHC and related experiments. Finally, we describe the various techniques that are used to turn theoretical calculations into something more closely approaching the output of a particle accelerator. |
2110.14788 | Carlo Marzo | Carlo Marzo | Radiatively stable ghost and tachyon freedom in Metric Affine Gravity | 22 pages, no figures | null | 10.1103/PhysRevD.106.024045 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report the existence of a ghost- and tachyon-free sector in metric-affine
theories of gravity, that is invariant under diffeomorphism and a particular
abelian symmetry. In contrast with many studied cases in the literature, the
constraints for unitarity and causality are granted by non-accidental
symmetries and do not ask for further tuning, whose fate under renormalization
would be unclear. Unsurprisingly, the minimal model is massless. We find that a
mechanism to provide mass is accommodated by a simple Stueckelberg extension of
metric-affine gravity involving the non-metricity tensor. A non-trivial result
is that also such an extension describes a ghost- and tachyon-free dynamic
stabilized by the same abelian symmetry. The resulting spectrum of the
collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the
operators recently computed in the literature.
| [
{
"created": "Wed, 27 Oct 2021 21:40:49 GMT",
"version": "v1"
}
] | 2022-08-03 | [
[
"Marzo",
"Carlo",
""
]
] | We report the existence of a ghost- and tachyon-free sector in metric-affine theories of gravity, that is invariant under diffeomorphism and a particular abelian symmetry. In contrast with many studied cases in the literature, the constraints for unitarity and causality are granted by non-accidental symmetries and do not ask for further tuning, whose fate under renormalization would be unclear. Unsurprisingly, the minimal model is massless. We find that a mechanism to provide mass is accommodated by a simple Stueckelberg extension of metric-affine gravity involving the non-metricity tensor. A non-trivial result is that also such an extension describes a ghost- and tachyon-free dynamic stabilized by the same abelian symmetry. The resulting spectrum of the collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the operators recently computed in the literature. |
1207.2275 | Sergio Cecotti | Sergio Cecotti and Michele Del Zotto | Half--Hypers and Quivers | 58 pages, 10 figures | null | 10.1007/JHEP09(2012)135 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study systematically the BPS spectra of N=2 SYM coupled to
half--hypermultiplets, the basic example being E_7 SYM coupled to a half--hyper
in the 56 irrepr. In order to do this, we determine the BPS quivers with
superpotential of such N=2 models using a new technique we introduce. The
computation of the BPS spectra in the various chambers is then reduced to the
Representation Theory of the resulting quivers. We use the quiver description
to study the BPS spectrum at both strong and weak coupling. The following
models are discussed in detail: SU(6) SYM coupled to a half 20, SO(12) SYM
coupled to a half 32, and E_7 SYM coupled to a half 56. For models with gauge
group SU(2) x SO(2n) and matter in the half (2,2n) we find strongly coupled
chambers with a BPS spectrum consisting of just finitely many hypermultiplets.
| [
{
"created": "Tue, 10 Jul 2012 09:29:29 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Cecotti",
"Sergio",
""
],
[
"Del Zotto",
"Michele",
""
]
] | We study systematically the BPS spectra of N=2 SYM coupled to half--hypermultiplets, the basic example being E_7 SYM coupled to a half--hyper in the 56 irrepr. In order to do this, we determine the BPS quivers with superpotential of such N=2 models using a new technique we introduce. The computation of the BPS spectra in the various chambers is then reduced to the Representation Theory of the resulting quivers. We use the quiver description to study the BPS spectrum at both strong and weak coupling. The following models are discussed in detail: SU(6) SYM coupled to a half 20, SO(12) SYM coupled to a half 32, and E_7 SYM coupled to a half 56. For models with gauge group SU(2) x SO(2n) and matter in the half (2,2n) we find strongly coupled chambers with a BPS spectrum consisting of just finitely many hypermultiplets. |
hep-th/0110089 | Andrei Linde | Renata Kallosh, Andrei Linde, Sergey Prokushkin and Marina Shmakova | Gauged Supergravities, de Sitter Space and Cosmology | 28 pages, 2 figs, Revtex 4 | Phys.Rev.D65:105016,2002 | 10.1103/PhysRevD.65.105016 | SU-ITP-01/40 | hep-th astro-ph gr-qc hep-ph | null | We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4.
Extrema of these potentials may correspond to de Sitter, anti de Sitter and
Minkowski vacua. All de Sitter extrema that we have studied correspond to
unstable maximum/saddle points with negative curvature |V''|=2V for the fields
canonically normalized at the extremum. This is equivalent to the relation
|m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the
Hubble constant H. This prevents the use of de Sitter extrema for slow-roll
inflation in the early universe, which would require |V''| \ll V . Moreover, in
all models that we were able to analyse the potential is unbounded from below.
On the other hand, barring the question how realistic such models could be, one
can use them for the description of the accelerated expansion of the universe
at the present epoch. This is related to a novel possibility of the fast-roll
inflation with |V''| > V . We also display some potentials that have flat
directions with vanishing cosmological constant, and discuss their possible
cosmological implications.
| [
{
"created": "Tue, 9 Oct 2001 19:52:42 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2001 07:45:12 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Nov 2001 01:15:16 GMT",
"version": "v3"
}
] | 2009-09-29 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Prokushkin",
"Sergey",
""
],
[
"Shmakova",
"Marina",
""
]
] | We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4. Extrema of these potentials may correspond to de Sitter, anti de Sitter and Minkowski vacua. All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum. This is equivalent to the relation |m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the Hubble constant H. This prevents the use of de Sitter extrema for slow-roll inflation in the early universe, which would require |V''| \ll V . Moreover, in all models that we were able to analyse the potential is unbounded from below. On the other hand, barring the question how realistic such models could be, one can use them for the description of the accelerated expansion of the universe at the present epoch. This is related to a novel possibility of the fast-roll inflation with |V''| > V . We also display some potentials that have flat directions with vanishing cosmological constant, and discuss their possible cosmological implications. |
hep-th/9710006 | Pavel Saponov | V.E. Rochev, P.A. Saponov | The four-fermion interaction in D=2,3,4: a nonperturbative treatment | a minor correction: one more acknowledgement is added. Latex 2.09
file, 15 pages, no figures, accepted for publication to Int.J.Mod.Phys.A | Int.J.Mod.Phys. A13 (1998) 3649-3666 | 10.1142/S0217751X98001712 | null | hep-th | null | A new nonperturbative approach is used to investigate the Gross-Neveu model
of four fermion interaction in the space-time dimensions 2, 3 and 4, the number
$N$ of inner degrees of freedom being a fixed integer. The spontaneous symmetry
breaking is shown to exist in $D=2,3$ and the running coupling constant is
calculated. The four dimensional theory seems to be trivial.
| [
{
"created": "Wed, 1 Oct 1997 14:23:23 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 1997 12:19:31 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Rochev",
"V. E.",
""
],
[
"Saponov",
"P. A.",
""
]
] | A new nonperturbative approach is used to investigate the Gross-Neveu model of four fermion interaction in the space-time dimensions 2, 3 and 4, the number $N$ of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in $D=2,3$ and the running coupling constant is calculated. The four dimensional theory seems to be trivial. |
1603.01149 | Matthias Blau | Matthias Blau, George Thompson | Chern-Simons Theory with Complex Gauge Group on Seifert Fibred
3-Manifolds | 23 pages, 2 figures | null | null | null | hep-th math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Chern-Simons theory with complex gauge group and present a
complete non-perturbative evaluation of the path integral (the partition
function and certain expectation values of Wilson loops) on Seifert fibred
3-Manifolds. We use the method of Abelianisation. In certain cases the path
integral can be seen to factorize neatly into holomorphic and anti-holomorphic
parts. We obtain closed formulae of this factorization for the expectation
values of torus knots.
| [
{
"created": "Thu, 3 Mar 2016 16:06:29 GMT",
"version": "v1"
}
] | 2016-03-04 | [
[
"Blau",
"Matthias",
""
],
[
"Thompson",
"George",
""
]
] | We consider Chern-Simons theory with complex gauge group and present a complete non-perturbative evaluation of the path integral (the partition function and certain expectation values of Wilson loops) on Seifert fibred 3-Manifolds. We use the method of Abelianisation. In certain cases the path integral can be seen to factorize neatly into holomorphic and anti-holomorphic parts. We obtain closed formulae of this factorization for the expectation values of torus knots. |
hep-th/9912112 | Bratchikov | A.V.Bratchikov | Generalized abelian coset conformal field theories | 7 pages,Latex; v2. an error in eq.(8) corrected; v3. minor
corrections,references added | Mod.Phys.Lett.A15:809-814,2000 | 10.1016/S0217-7323(00)00079-7 | null | hep-th cond-mat.stat-mech math.QA | null | The reductions of conformal field theories which lead to generalized abelian
cosets are studied. Primary fields and correlation functions of arbitrary
abelian coset conformal field theory are explicitly expressed in terms of those
of the original theory. The coset theory has global abelian symmetry.
| [
{
"created": "Tue, 14 Dec 1999 05:09:06 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2000 09:49:52 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Apr 2000 07:57:01 GMT",
"version": "v3"
}
] | 2011-03-18 | [
[
"Bratchikov",
"A. V.",
""
]
] | The reductions of conformal field theories which lead to generalized abelian cosets are studied. Primary fields and correlation functions of arbitrary abelian coset conformal field theory are explicitly expressed in terms of those of the original theory. The coset theory has global abelian symmetry. |
1811.10612 | Lorenzo G. Vitale Mr. | Luca V. Delacr\'etaz, A. Liam Fitzpatrick, Emanuel Katz and Lorenzo
Vitale | Conformal Truncation of Chern-Simons Theory at Large $N_f$ | 32+25 pages, 8 figures. v2: updated refs | null | 10.1007/JHEP03(2019)107 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons
field coupled to $N_f$ fermions in the limit of large $N_f$ using conformal
truncation, i.e. with a truncated space of states corresponding to primary
operators with dimension below a maximum cutoff $\Delta_{\rm max}$. In both the
Chern-Simons theory, and in the $O(N)$ model at infinite $N$, we compute the
current spectral functions analytically as a function of $\Delta_{\rm max}$ and
reproduce previous results in the limit that the truncation $\Delta_{\rm max}$
is taken to $\infty$. Along the way, we determine how to preserve gauge
invariance and how to choose an optimal discrete basis for the momenta of
states in the truncation space.
| [
{
"created": "Mon, 26 Nov 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 22:36:40 GMT",
"version": "v2"
}
] | 2019-05-01 | [
[
"Delacrétaz",
"Luca V.",
""
],
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Vitale",
"Lorenzo",
""
]
] | We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to $N_f$ fermions in the limit of large $N_f$ using conformal truncation, i.e. with a truncated space of states corresponding to primary operators with dimension below a maximum cutoff $\Delta_{\rm max}$. In both the Chern-Simons theory, and in the $O(N)$ model at infinite $N$, we compute the current spectral functions analytically as a function of $\Delta_{\rm max}$ and reproduce previous results in the limit that the truncation $\Delta_{\rm max}$ is taken to $\infty$. Along the way, we determine how to preserve gauge invariance and how to choose an optimal discrete basis for the momenta of states in the truncation space. |
hep-th/9811248 | Torsten Tok | C. Ford, T. Tok and A. Wipf | SU(N)-Gauge Theories in Polyakov Gauge on the Torus | 11 pages, 2 figures | Phys.Lett. B456 (1999) 155-161 | 10.1016/S0370-2693(99)00464-5 | FSUJ-TPI-98/13 | hep-th | null | We investigate the Abelian projection with respect to the Polyakov loop
operator for SU(N) gauge theories on the four torus. The gauge fixed $A_0$ is
time-independent and diagonal. We construct fundamental domains for $A_0$. In
sectors with non-vanishing instanton number such gauge fixings are always
singular. The singularities define the positions of magnetically charged
monopoles, strings or walls. These magnetic defects sit on the Gribov horizon
and have quantized magnetic charges. We relate their magnetic charges to the
instanton number.
| [
{
"created": "Mon, 30 Nov 1998 18:02:51 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ford",
"C.",
""
],
[
"Tok",
"T.",
""
],
[
"Wipf",
"A.",
""
]
] | We investigate the Abelian projection with respect to the Polyakov loop operator for SU(N) gauge theories on the four torus. The gauge fixed $A_0$ is time-independent and diagonal. We construct fundamental domains for $A_0$. In sectors with non-vanishing instanton number such gauge fixings are always singular. The singularities define the positions of magnetically charged monopoles, strings or walls. These magnetic defects sit on the Gribov horizon and have quantized magnetic charges. We relate their magnetic charges to the instanton number. |
hep-th/0401144 | Yannick Meurice | Y. Meurice and M. B. Oktay | Universality in nontrivial continuum limits: a model calculation | 10 pages, 5 figures, uses revtex4, includes a new section on the
effective potential | Phys.Rev. D69 (2004) 125016 | 10.1103/PhysRevD.69.125016 | null | hep-th | null | We study numerically the continuum limit corresponding to the non-trivial
fixed point of Dyson's hierarchical model. We discuss the possibility of using
the critical amplitudes as input parameters. We determine numerically the
leading and subleading critical amplitudes of the zero-momentum $2l$-point
functions in the symmetric phase up to l=10 for randomly chosen local measures.
In the infinite cutoff limit, the dimensionless renormalized coupling constants
are in very good approximation universal (independent of the choice of the
local measure). In addition, ratios of subleading amplitudes also appear to be
universal. If we neglect very small log-periodic corrections, the non-universal
features of the 2l-point functions appear to depend only the non-universal
features of the 2-point function. We infer that when 2l becomes large, the
dimensionless renormalized couplings grow as (2l)! despite the non-perturbative
nature of our calculation, while the universal ratios of subleading amplitudes
grow linearly.
| [
{
"created": "Wed, 21 Jan 2004 15:18:50 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2004 16:57:27 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Meurice",
"Y.",
""
],
[
"Oktay",
"M. B.",
""
]
] | We study numerically the continuum limit corresponding to the non-trivial fixed point of Dyson's hierarchical model. We discuss the possibility of using the critical amplitudes as input parameters. We determine numerically the leading and subleading critical amplitudes of the zero-momentum $2l$-point functions in the symmetric phase up to l=10 for randomly chosen local measures. In the infinite cutoff limit, the dimensionless renormalized coupling constants are in very good approximation universal (independent of the choice of the local measure). In addition, ratios of subleading amplitudes also appear to be universal. If we neglect very small log-periodic corrections, the non-universal features of the 2l-point functions appear to depend only the non-universal features of the 2-point function. We infer that when 2l becomes large, the dimensionless renormalized couplings grow as (2l)! despite the non-perturbative nature of our calculation, while the universal ratios of subleading amplitudes grow linearly. |
hep-th/0607213 | Om Prakash Negi Singh | P. S. Bisht and O. P. S. Negi | Super Symmetric Partners in T4- space | null | null | null | null | hep-th | null | Constructing the operators connecting the state of energy associated with
super partner Hamiltonians and super partner potentials for a linear harmonic
oscillator has been discussed and it is shown that any super symmetric eigen
state of one of the super partner potentials in T4-space is paired in energy
with a symmetric eigen state of the other partner potential.
| [
{
"created": "Wed, 26 Jul 2006 15:22:40 GMT",
"version": "v1"
},
{
"created": "Sat, 17 May 2008 01:37:26 GMT",
"version": "v2"
}
] | 2008-05-17 | [
[
"Bisht",
"P. S.",
""
],
[
"Negi",
"O. P. S.",
""
]
] | Constructing the operators connecting the state of energy associated with super partner Hamiltonians and super partner potentials for a linear harmonic oscillator has been discussed and it is shown that any super symmetric eigen state of one of the super partner potentials in T4-space is paired in energy with a symmetric eigen state of the other partner potential. |
2102.02281 | Howard Schnitzer | Howard J. Schnitzer | Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory | v2; typos corrected and reference added | null | null | BRX-TH-6672 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Graph states and hypergraph states can be constructed from products of basic
operations that appear in SU(N)1. The level-rank dual of a theorem of Salton,
Swingle, and Walter implies that these operations can be prepared topologically
in the n-torus Hilbert space of Chern-Simons theory for N neq 5 mod 4. For
SU(N)1, N = 5 mod 4, only stabilizer states can be prepared on the n-torus
Hilbert space, which restricts the construction to graph states.
| [
{
"created": "Wed, 3 Feb 2021 20:21:55 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2021 19:59:05 GMT",
"version": "v2"
}
] | 2021-02-19 | [
[
"Schnitzer",
"Howard J.",
""
]
] | Graph states and hypergraph states can be constructed from products of basic operations that appear in SU(N)1. The level-rank dual of a theorem of Salton, Swingle, and Walter implies that these operations can be prepared topologically in the n-torus Hilbert space of Chern-Simons theory for N neq 5 mod 4. For SU(N)1, N = 5 mod 4, only stabilizer states can be prepared on the n-torus Hilbert space, which restricts the construction to graph states. |
hep-th/0508184 | Jessica Barrett | Jessica K. Barrett (University of Iceland) | A New Perspective on the Nonextremal Enhancon Solution | 10 pages, 3 figures, reference added | JHEP0602:017,2006 | 10.1088/1126-6708/2006/02/017 | RH-16-2005 | hep-th | null | We discuss the nonextremal generalisation of the enhancon mechanism. We find
that the nonextremal shell branch solution does not violate the Weak Energy
Condition when the nonextremality parameter is small, in contrast to earlier
discussions of this subject. We show that this physical shell branch solution
fills the mass gap between the extremal enhancon solution and the nonextremal
horizon branch solution.
| [
{
"created": "Wed, 24 Aug 2005 18:03:20 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2005 16:07:04 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Barrett",
"Jessica K.",
"",
"University of Iceland"
]
] | We discuss the nonextremal generalisation of the enhancon mechanism. We find that the nonextremal shell branch solution does not violate the Weak Energy Condition when the nonextremality parameter is small, in contrast to earlier discussions of this subject. We show that this physical shell branch solution fills the mass gap between the extremal enhancon solution and the nonextremal horizon branch solution. |
0806.1299 | Alessandro Torrielli | Alessandro Torrielli | Structure of the string R-matrix | 9 pages, LaTeX; typos corrected | J.Phys.A42:055204,2009 | 10.1088/1751-8113/42/5/055204 | MIT-CTP 3953 | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By requiring invariance directly under the Yangian symmetry, we rederive
Beisert's quantum R-matrix, in a form that carries explicit dependence on the
representation labels, the braiding factors, and the spectral parameters u_i.
In this way, we demonstrate that there exist a rewriting of its entries, such
that the dependence on the spectral parameters is purely of difference form.
Namely, the latter enter only in the combination u_1-u_2, as indicated by the
shift automorphism of the Yangian. When recasted in this fashion, the entries
exhibit a cleaner structure, which allows to spot new interesting relations
among them. This permits to package them into a practical tensorial expression,
where the non-diagonal entries are taken care by explicit combinations of
symmetry algebra generators.
| [
{
"created": "Mon, 9 Jun 2008 18:38:00 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jun 2008 17:24:40 GMT",
"version": "v2"
}
] | 2009-01-08 | [
[
"Torrielli",
"Alessandro",
""
]
] | By requiring invariance directly under the Yangian symmetry, we rederive Beisert's quantum R-matrix, in a form that carries explicit dependence on the representation labels, the braiding factors, and the spectral parameters u_i. In this way, we demonstrate that there exist a rewriting of its entries, such that the dependence on the spectral parameters is purely of difference form. Namely, the latter enter only in the combination u_1-u_2, as indicated by the shift automorphism of the Yangian. When recasted in this fashion, the entries exhibit a cleaner structure, which allows to spot new interesting relations among them. This permits to package them into a practical tensorial expression, where the non-diagonal entries are taken care by explicit combinations of symmetry algebra generators. |
1607.01395 | Francesco Muia | Michele Cicoli, David Ciupke, Senarath de Alwis, Francesco Muia | $\alpha'$ Inflation: Moduli Stabilisation and Observable Tensors from
Higher Derivatives | 21 pages, 3 figures | null | 10.1007/JHEP09(2016)026 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The leading order dynamics of the type IIB Large Volume Scenario is
characterised by the interplay between $\alpha'$ and non-perturbative effects
which fix the overall volume and all local blow-up modes leaving (in general)
several flat directions. In this paper we show that, in an arbitrary Calabi-Yau
with at least one blow-up mode resolving a point-like singularity, any
remaining flat directions can be lifted at subleading order by the inclusions
of higher derivative $\alpha'$ corrections. We then focus on simple fibred
cases with one remaining flat direction which can behave as an inflaton if its
potential is generated by both higher derivative $\alpha'$ and winding loop
corrections. Natural values of the underlying parameters give a spectral index
in agreement with observational data and a tensor-to-scalar ratio of order
$r=0.01$ which could be observed by forthcoming CMB experiments. Dangerous
corrections from higher dimensional operators are suppressed due to the
presence of an approximate non-compact shift symmetry.
| [
{
"created": "Tue, 5 Jul 2016 20:00:07 GMT",
"version": "v1"
}
] | 2016-10-12 | [
[
"Cicoli",
"Michele",
""
],
[
"Ciupke",
"David",
""
],
[
"de Alwis",
"Senarath",
""
],
[
"Muia",
"Francesco",
""
]
] | The leading order dynamics of the type IIB Large Volume Scenario is characterised by the interplay between $\alpha'$ and non-perturbative effects which fix the overall volume and all local blow-up modes leaving (in general) several flat directions. In this paper we show that, in an arbitrary Calabi-Yau with at least one blow-up mode resolving a point-like singularity, any remaining flat directions can be lifted at subleading order by the inclusions of higher derivative $\alpha'$ corrections. We then focus on simple fibred cases with one remaining flat direction which can behave as an inflaton if its potential is generated by both higher derivative $\alpha'$ and winding loop corrections. Natural values of the underlying parameters give a spectral index in agreement with observational data and a tensor-to-scalar ratio of order $r=0.01$ which could be observed by forthcoming CMB experiments. Dangerous corrections from higher dimensional operators are suppressed due to the presence of an approximate non-compact shift symmetry. |
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