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/9607177 | Tetsuji Miwa | M. Jimbo, M. Lashkevich, T. Miwa and Y. Pugai | Lukyanov's Screening Operators for the Deformed Virasoro Algebra | Minor misprints corrected | Phys.Lett. A229 (1997) 285-292 | 10.1016/S0375-9601(97)00200-4 | RIMS-1087 | hep-th | null | The BRST property of Lukyanov's screening operators in the bosonic
representation of the deformed Virasoro algebra is proven.
| [
{
"created": "Tue, 23 Jul 1996 02:50:18 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jul 1996 23:50:22 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Jimbo",
"M.",
""
],
[
"Lashkevich",
"M.",
""
],
[
"Miwa",
"T.",
""
],
[
"Pugai",
"Y.",
""
]
] | The BRST property of Lukyanov's screening operators in the bosonic representation of the deformed Virasoro algebra is proven. |
hep-th/9802180 | Daniel Zwanziger | Daniel Zwanziger | Coulomb-gauge in QCD: renormalization and confinement | 12 pages, 0 figures, Lecture given at the 1997 Yukawa International
Seminar at Kyoto, Japan | Prog.Theor.Phys.Suppl.131:233-242,1998 | 10.1143/PTPS.131.233 | NYU-THPH-9807 | hep-th | null | We review the Coulomb gauge in QCD and report some recent results. The
minimal Coulomb gauge is defined and the fundamental modular region, a region
without Gribov copies, is described. The Coulomb gauge action is expressed in
terms of the dynamical degrees of freedom with an instantaneous Coulomb
interaction, and its physical meaning is discussed. The local Coulomb gauge
action with phase-space and ghost variables is derived, and its BRS-invariance
and renormalizability are reviewed. It is shown that the instantanteous part
$V(R)$ of $g^2 D_{00}(R, t)$, the time-time component of the gluon propagator,
is a renormalization-group invariant $V(R) = f(R\Lambda_{QCD})/R$, and that the
contribution of $V(R)$ to the Wilson loop exponentiates. It is conjectured that
$V(R) \sim \kappa_{coul}R$ at large $R$, and that $\kappa_{coul}$ provides an
order parameter for confinement of color even in the presence of dynamical
quarks.
| [
{
"created": "Wed, 25 Feb 1998 19:39:59 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Zwanziger",
"Daniel",
""
]
] | We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the dynamical degrees of freedom with an instantaneous Coulomb interaction, and its physical meaning is discussed. The local Coulomb gauge action with phase-space and ghost variables is derived, and its BRS-invariance and renormalizability are reviewed. It is shown that the instantanteous part $V(R)$ of $g^2 D_{00}(R, t)$, the time-time component of the gluon propagator, is a renormalization-group invariant $V(R) = f(R\Lambda_{QCD})/R$, and that the contribution of $V(R)$ to the Wilson loop exponentiates. It is conjectured that $V(R) \sim \kappa_{coul}R$ at large $R$, and that $\kappa_{coul}$ provides an order parameter for confinement of color even in the presence of dynamical quarks. |
2201.00937 | Irvin Martinez | Irvin Martinez | Modeling Compact Objects with EFT II: The Post-Newtonian Expansion | 25 pages. Accepted master's thesis version | null | null | null | hep-th astro-ph.HE gr-qc | http://creativecommons.org/licenses/by/4.0/ | Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective
Field Theory. Using the Effective Field Theory framework for extended objects,
we build the effective theory of a binary system made up of the most general
compact objects in a theory of gravity as General Relativity with
electrodynamics, objects which are described by their mass, spin, charge and
their finite-size structure. We obtain the leading order post-Newtonian
expansion to each of the relevant terms in the effective action that have been
derived using the coset construction, where the covariant building blocks to
build up the tower of invariant operators are derived from symmetry principles.
Having matched the coefficients of the theory from the literature, we show the
predictivity of our theory by obtaining well known post-Newtonian results on
spinning extended objects, as well as on charged objects. Then, we bring new
results on the polarizability and dissipation of charged spinning compact
objects.
| [
{
"created": "Tue, 4 Jan 2022 02:07:03 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Mar 2022 18:21:23 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Apr 2023 18:57:02 GMT",
"version": "v3"
}
] | 2023-04-06 | [
[
"Martinez",
"Irvin",
""
]
] | Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective Field Theory. Using the Effective Field Theory framework for extended objects, we build the effective theory of a binary system made up of the most general compact objects in a theory of gravity as General Relativity with electrodynamics, objects which are described by their mass, spin, charge and their finite-size structure. We obtain the leading order post-Newtonian expansion to each of the relevant terms in the effective action that have been derived using the coset construction, where the covariant building blocks to build up the tower of invariant operators are derived from symmetry principles. Having matched the coefficients of the theory from the literature, we show the predictivity of our theory by obtaining well known post-Newtonian results on spinning extended objects, as well as on charged objects. Then, we bring new results on the polarizability and dissipation of charged spinning compact objects. |
2111.00473 | Arpan Krishna Mitra | Arpan Krishna Mitra, Subir Ghosh | Divergence Anomaly and Schwinger Terms: Towards a Consistent Theory of
Anomalous Classical Fluid | Title changed, new references included, significant change in some
results and conclusion, version accepted in Physical Review D (letter).14
pages, 0 figures, | null | null | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | Anomaly, a generic feature of relativistic quantum field theory, is shown to
be present in non-relativistic classical ideal fluid. A new result is the
presence of anomalous terms in current algebra, an obvious analogue of
Schwinger terms present in quantum field theory. We work in Hamiltonian
framework where Eulerian dynamical variables obey an anomalous algebra (with
Schwinger terms) that is inherited from modified Poisson brackets, with Berry
curvature corrections, among Lagrangian discrete coordinates. The divergence
anomaly appears in the Hamiltonian equations of motion. A generalized form of
fluid velocity field can be identified with the "anomalous velocity" of Bloch
band electrons appearing in quantum Hall effect in condensed matter physics. We
finally show that the divergence anomaly and Schwinger terms satisfy well known
Adler consistency condition. Lastly we mention possible scenarios where this
new anomalous fluid theory can impact.
| [
{
"created": "Sun, 31 Oct 2021 11:50:33 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jul 2022 08:26:57 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jul 2022 06:58:02 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2022 08:43:44 GMT",
"version": "v4"
}
] | 2022-08-02 | [
[
"Mitra",
"Arpan Krishna",
""
],
[
"Ghosh",
"Subir",
""
]
] | Anomaly, a generic feature of relativistic quantum field theory, is shown to be present in non-relativistic classical ideal fluid. A new result is the presence of anomalous terms in current algebra, an obvious analogue of Schwinger terms present in quantum field theory. We work in Hamiltonian framework where Eulerian dynamical variables obey an anomalous algebra (with Schwinger terms) that is inherited from modified Poisson brackets, with Berry curvature corrections, among Lagrangian discrete coordinates. The divergence anomaly appears in the Hamiltonian equations of motion. A generalized form of fluid velocity field can be identified with the "anomalous velocity" of Bloch band electrons appearing in quantum Hall effect in condensed matter physics. We finally show that the divergence anomaly and Schwinger terms satisfy well known Adler consistency condition. Lastly we mention possible scenarios where this new anomalous fluid theory can impact. |
2106.00349 | Robert de Mello Koch | Robert de Mello Koch, Eunice Gandote, Nirina Hasina Tahiridimbisoa and
Hendrik J.R. Van Zyl | Quantum Error Correction and Holographic Information from Bilocal
Holography | 31 pages, 6 figures | null | 10.1007/JHEP11(2021)192 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bilocal holography is a constructive approach to the higher spin theory
holographically dual to $O(N)$ vector models. In contrast to other approaches
to bulk reconstruction, bilocal holography does not take input from the dual
gravitational theory. The resulting map is a complete bulk/boundary mapping in
that it maps the complete set of $O(N)$ invariant degrees of freedom in the
CFT, to the complete set of higher spin degrees of freedom. After restricting
to a suitable code subspace we demonstrate that bilocal holography naturally
reproduces the quantum error correcting properties of holography and it gives a
robust bulk (entanglement wedge) reconstruction. A gauge invariant entangled
pair of CFT degrees of freedom are naturally smeared over a semicircle in the
bulk spacetime, which is highly suggestive of bit threads. Finally, we argue
that finite $N$ relations in the CFT, when interpreted in the dual AdS
spacetime, can provide relations between degrees of freedom located near the
boundary and degrees of freedom deep in the bulk.
| [
{
"created": "Tue, 1 Jun 2021 09:51:24 GMT",
"version": "v1"
}
] | 2021-12-08 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Gandote",
"Eunice",
""
],
[
"Tahiridimbisoa",
"Nirina Hasina",
""
],
[
"Van Zyl",
"Hendrik J. R.",
""
]
] | Bilocal holography is a constructive approach to the higher spin theory holographically dual to $O(N)$ vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational theory. The resulting map is a complete bulk/boundary mapping in that it maps the complete set of $O(N)$ invariant degrees of freedom in the CFT, to the complete set of higher spin degrees of freedom. After restricting to a suitable code subspace we demonstrate that bilocal holography naturally reproduces the quantum error correcting properties of holography and it gives a robust bulk (entanglement wedge) reconstruction. A gauge invariant entangled pair of CFT degrees of freedom are naturally smeared over a semicircle in the bulk spacetime, which is highly suggestive of bit threads. Finally, we argue that finite $N$ relations in the CFT, when interpreted in the dual AdS spacetime, can provide relations between degrees of freedom located near the boundary and degrees of freedom deep in the bulk. |
hep-th/0303040 | Y. M. Cho | Y. M. Cho | Cho and Pak reply to Lamm et al. comment on "A Convergent Series for the
QED Effective Action" | 1 page | Phys.Rev.Lett. 91 (2003) 039101 | 10.1103/PhysRevLett.91.039101 | null | hep-th | null | Cho and Pak reply to Lamm et al. [hep-th/0007108] comment on "A Convergent
Series for the Effective Action of QED" [hep-th/0006057].
| [
{
"created": "Thu, 6 Mar 2003 07:55:46 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Cho",
"Y. M.",
""
]
] | Cho and Pak reply to Lamm et al. [hep-th/0007108] comment on "A Convergent Series for the Effective Action of QED" [hep-th/0006057]. |
2002.07737 | Urs Schreiber | Hisham Sati, Urs Schreiber | Twisted Cohomotopy implies M5-brane anomaly cancellation | 20 pages; v1: this is a revised version of Sections 2.5 and 4.5 in v1
of arXiv:1904.10207, which do not appear in the final version there; v2: main
section 3 considerably expanded, analogous argument in Sec. 4.1 of
arXiv:1910.04166 pointed out, appendix with supplementary proofs added | Lett. Math. Phys. 111 Nr. 120 (2021) | 10.1007/s11005-021-01452-8 | null | hep-th math-ph math.AT math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We highlight what seems to be a remaining subtlety in the argument for the
cancellation of the total anomaly associated with the M5-brane in M-theory.
Then we prove that this subtlety is resolved under the hypothesis that the
C-field flux is charge-quantized in the generalized cohomology theory called
J-twisted Cohomotopy.
| [
{
"created": "Tue, 18 Feb 2020 17:12:27 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2021 09:18:02 GMT",
"version": "v2"
}
] | 2021-09-27 | [
[
"Sati",
"Hisham",
""
],
[
"Schreiber",
"Urs",
""
]
] | We highlight what seems to be a remaining subtlety in the argument for the cancellation of the total anomaly associated with the M5-brane in M-theory. Then we prove that this subtlety is resolved under the hypothesis that the C-field flux is charge-quantized in the generalized cohomology theory called J-twisted Cohomotopy. |
hep-th/0503244 | Stefano Bellucci | S. Bellucci, A. Beylin, S. Krivonos, A. Nersessian, and E. Orazi | N=4 supersymmetric mechanics with nonlinear chiral supermultiplet | 5 pages | Phys.Lett. B616 (2005) 228-232 | 10.1016/j.physletb.2005.04.058 | null | hep-th | null | We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral
supermultiplet. The two bosonic degrees of freedom of this supermultiplet
parameterize the sphere S(2) and go into the bosonic components of the standard
chiral multiplet when the radius of the sphere goes to infinity. We construct
the most general action and demonstrate that the nonlinearity of the
supermultiplet results in the deformation of the connection, which couples the
fermionic degrees of freedom with the background, and of the bosonic potential.
Also a non-zero magnetic field could appear in the system.
| [
{
"created": "Thu, 31 Mar 2005 15:46:29 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Bellucci",
"S.",
""
],
[
"Beylin",
"A.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Nersessian",
"A.",
""
],
[
"Orazi",
"E.",
""
]
] | We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral supermultiplet. The two bosonic degrees of freedom of this supermultiplet parameterize the sphere S(2) and go into the bosonic components of the standard chiral multiplet when the radius of the sphere goes to infinity. We construct the most general action and demonstrate that the nonlinearity of the supermultiplet results in the deformation of the connection, which couples the fermionic degrees of freedom with the background, and of the bosonic potential. Also a non-zero magnetic field could appear in the system. |
hep-th/0211053 | Jorge Mahecha | Carlos Castro | On Maximal-Acceleration, Strings and the Group of Minimal Planck-Area
Relativity Theory | 21 pages, Latex file | null | null | null | hep-th | null | Recently we have presented a new physical model that links the maximum speed
of light with the minimal Planck scale into a maximal-acceleration Relativity
principle in phase spaces . The maximal proper-acceleration bound is $a = c^2/
\Lambda$ where $ \Lambda$ is the Planck scale. The group transformation laws of
this Maximal-acceleration Relativity theory under velocity and acceleration
boosts are analyzed in full detail. For pure acceleration boosts it is shown
that the minimal Planck-areas (maximal tension) are universal invariant
quantities in any frame of reference. The implications of this minimal
Planck-area (maximal tension) principle in future developments of string
theory, $ W$-geometry and Quantum Gravity are briefly outlined.
| [
{
"created": "Thu, 7 Nov 2002 09:04:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Castro",
"Carlos",
""
]
] | Recently we have presented a new physical model that links the maximum speed of light with the minimal Planck scale into a maximal-acceleration Relativity principle in phase spaces . The maximal proper-acceleration bound is $a = c^2/ \Lambda$ where $ \Lambda$ is the Planck scale. The group transformation laws of this Maximal-acceleration Relativity theory under velocity and acceleration boosts are analyzed in full detail. For pure acceleration boosts it is shown that the minimal Planck-areas (maximal tension) are universal invariant quantities in any frame of reference. The implications of this minimal Planck-area (maximal tension) principle in future developments of string theory, $ W$-geometry and Quantum Gravity are briefly outlined. |
hep-th/9606009 | Kalyana Rama | Dileep P. Jatkar and S. Kalyana Rama | F-theory from Dirichlet 3-branes | 16 pages. Latex file. Changes: A Note Added; references updated, 2
more added; text changed to refer to new references; and changes in the
acknowledgement. To appear in Phys. Lett. B | Phys.Lett. B388 (1996) 283-290 | 10.1016/S0370-2693(96)01091-X | Mehta Research Institute preprint MRI-PHY/96-16 | hep-th | null | Starting from the type IIB Dirichlet 3-brane action, we obtain a Nambu-Goto
action. It is interpreted as the world volume action of a fundamental 3-brane,
and its target space theory as F-theory. The target space is twelve
dimensional, with signature $(11, 1)$. It is an elliptic fibration over a ten
dimensional base space. The $SL(2, Z)$ symmetry of type IIB string has now an
explicit geometric interpretation. Also, one gets a glimpse of the conjectured
self-duality of M-theory.
| [
{
"created": "Tue, 4 Jun 1996 04:24:18 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 1996 09:43:38 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Jatkar",
"Dileep P.",
""
],
[
"Rama",
"S. Kalyana",
""
]
] | Starting from the type IIB Dirichlet 3-brane action, we obtain a Nambu-Goto action. It is interpreted as the world volume action of a fundamental 3-brane, and its target space theory as F-theory. The target space is twelve dimensional, with signature $(11, 1)$. It is an elliptic fibration over a ten dimensional base space. The $SL(2, Z)$ symmetry of type IIB string has now an explicit geometric interpretation. Also, one gets a glimpse of the conjectured self-duality of M-theory. |
2202.13699 | Masatoshi Yamada | Fei Gao and Masatoshi Yamada | Determining wave equations in holographic QCD from Wilsonian
renormalization group | 7 pages, 1 figure, version published in Phys. Rev. D | Phys. Rev. D 106, 126003 (2022) | 10.1103/PhysRevD.106.126003 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We show a possible way to build the AdS/CFT correspondence starting from the
quantum field theory side based on renormalization group approach. An extra
dimension is naturally introduced in our scheme as the renomalization scale.
The holographic wave equations are derived, with the potential term being
determined by the QFT properties. We discover that only around the fixed point,
i.e. the conformal limit, the potential in the bulk equations can be fully
constrained, and upon this foundation, the correspondence is build. We
demonstrate this fact using a 3D scalar theory in which, besides the trivial
fixed point, there exists the Wilson-Fisher fixed point. From the energy
scalings around those fixed points, we determine the behavior of the potential
in the bulk equations.
| [
{
"created": "Mon, 28 Feb 2022 11:42:24 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Dec 2022 14:47:51 GMT",
"version": "v2"
}
] | 2022-12-08 | [
[
"Gao",
"Fei",
""
],
[
"Yamada",
"Masatoshi",
""
]
] | We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The holographic wave equations are derived, with the potential term being determined by the QFT properties. We discover that only around the fixed point, i.e. the conformal limit, the potential in the bulk equations can be fully constrained, and upon this foundation, the correspondence is build. We demonstrate this fact using a 3D scalar theory in which, besides the trivial fixed point, there exists the Wilson-Fisher fixed point. From the energy scalings around those fixed points, we determine the behavior of the potential in the bulk equations. |
hep-th/0509035 | Brett McInnes | Brett McInnes | The Most Probable Size of the Universe | References added; accepted by Nuclear Physics B | Nucl.Phys.B730:50-81,2005 | 10.1016/j.nuclphysb.2005.10.008 | null | hep-th astro-ph | null | It has recently been suggested, by Firouzjahi, Sarangi, and Tye, that
string-motivated modifications of the Hartle-Hawking wave function predict that
our Universe came into existence from "nothing" with a de Sitter-like spacetime
geometry and a spacetime curvature similar to that of "low-scale" models of
Inflation. This means, however, that the Universe was quite large at birth. It
would be preferable for the initial scale to be close to the string scale, or
perhaps the Planck scale. The problem with this, however, is to explain how any
initial homogeneity is preserved during the pre-inflationary era, so that
Inflation can indeed begin. Here we modify a suggestion due to Linde and assume
that the Universe was born with the topology of a torus; however, we propose
that the size of the torus is to be predicted by the FST wave function. The
latter does predict an initial size for the torus at about the string scale,
and it also predicts a pre-inflationary spacetime geometry such that chaotic
mixing preserves any initial homogeneity until Inflation can begin at a
relatively low scale.
| [
{
"created": "Sun, 4 Sep 2005 14:06:58 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2005 13:29:21 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2005 05:14:50 GMT",
"version": "v3"
}
] | 2010-12-23 | [
[
"McInnes",
"Brett",
""
]
] | It has recently been suggested, by Firouzjahi, Sarangi, and Tye, that string-motivated modifications of the Hartle-Hawking wave function predict that our Universe came into existence from "nothing" with a de Sitter-like spacetime geometry and a spacetime curvature similar to that of "low-scale" models of Inflation. This means, however, that the Universe was quite large at birth. It would be preferable for the initial scale to be close to the string scale, or perhaps the Planck scale. The problem with this, however, is to explain how any initial homogeneity is preserved during the pre-inflationary era, so that Inflation can indeed begin. Here we modify a suggestion due to Linde and assume that the Universe was born with the topology of a torus; however, we propose that the size of the torus is to be predicted by the FST wave function. The latter does predict an initial size for the torus at about the string scale, and it also predicts a pre-inflationary spacetime geometry such that chaotic mixing preserves any initial homogeneity until Inflation can begin at a relatively low scale. |
hep-th/0603175 | Joseph A. Minahan | Joseph A. Minahan | Strong coupling from the Hubbard model | 14 pages; v2: 17 pages, 2 figures, appendix and references added;
typos fixed, minor changes; v3 fixed figures; v4 more references added, minor
correction | J.Phys.A39:13083-13094,2006 | 10.1088/0305-4470/39/41/S16 | HUTP-06/A0008 | hep-th | null | It was recently observed that the one dimensional half-filled Hubbard model
reproduces the known part of the perturbative spectrum of planar N=4 super
Yang-Mills in the SU(2) sector. Assuming that this identification is valid
beyond perturbation theory, we investigate the behavior of this spectrum as the
't Hooft parameter \lambda becomes large. We show that the full dimension
\Delta of the Konishi superpartner is the solution of a sixth order polynomial
while \Delta for a bare dimension 5 operator is the solution of a cubic. In
both cases the equations can be solved easily as a series expansion for both
small and large \lambda and the equations can be inverted to express \lambda as
an explicit function of \Delta. We then consider more general operators and
show how \Delta depends on \lambda in the strong coupling limit. We are also
able to distinguish those states in the Hubbard model which correspond to the
gauge invariant operators for all values of \lambda. Finally, we compare our
results with known results for strings on AdS_5\times S^5, where we find
agreement for a range of R-charges.
| [
{
"created": "Wed, 22 Mar 2006 20:31:34 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2006 18:31:16 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2006 16:06:13 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Apr 2006 18:17:02 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Minahan",
"Joseph A.",
""
]
] | It was recently observed that the one dimensional half-filled Hubbard model reproduces the known part of the perturbative spectrum of planar N=4 super Yang-Mills in the SU(2) sector. Assuming that this identification is valid beyond perturbation theory, we investigate the behavior of this spectrum as the 't Hooft parameter \lambda becomes large. We show that the full dimension \Delta of the Konishi superpartner is the solution of a sixth order polynomial while \Delta for a bare dimension 5 operator is the solution of a cubic. In both cases the equations can be solved easily as a series expansion for both small and large \lambda and the equations can be inverted to express \lambda as an explicit function of \Delta. We then consider more general operators and show how \Delta depends on \lambda in the strong coupling limit. We are also able to distinguish those states in the Hubbard model which correspond to the gauge invariant operators for all values of \lambda. Finally, we compare our results with known results for strings on AdS_5\times S^5, where we find agreement for a range of R-charges. |
hep-th/9612012 | Dirk Kreimer | D. J. Broadhurst | Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots
and Feynman Diagrams | 11 pages, LaTeX | null | null | null | hep-th hep-ph math.QA q-alg | null | Multiple zeta values (MZVs) are under intense investigation in three arenas
-- knot theory, number theory, and quantum field theory -- which unite in
Kreimer's proposal that field theory assigns MZVs to positive knots, via
Feynman diagrams whose momentum flow is encoded by link diagrams. Two
challenging problems are posed by this nexus of knot/number/field theory:
enumeration of positive knots, and enumeration of irreducible MZVs. Both were
recently tackled by Broadhurst and Kreimer (BK). Here we report large-scale
analytical and numerical computations that test, with considerable severity,
the BK conjecture that the number, $D_{n,k}$, of irreducible MZVs of weight $n$
and depth $k$, is generated by $\prod_{n\ge3}\prod_{k\ge1}(1-x^n y^k)
^{D_{n,k}}=1-\frac{x^3y}{1-x^2}+\frac{x^{12}y^2(1-y^2)}{(1-x^4)(1-x^6)}$, which
is here shown to be consistent with all shuffle identities for the
corresponding iterated integrals, up to weights $n=44, 37, 42, 27$, at depths
$k=2, 3, 4, 5$, respectively, entailing computation at the petashuffle level.
We recount the field-theoretic discoveries of MZVs, in counterterms, and of
Euler sums, from more general Feynman diagrams, that led to this success.
| [
{
"created": "Sun, 1 Dec 1996 14:04:47 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Broadhurst",
"D. J.",
""
]
] | Multiple zeta values (MZVs) are under intense investigation in three arenas -- knot theory, number theory, and quantum field theory -- which unite in Kreimer's proposal that field theory assigns MZVs to positive knots, via Feynman diagrams whose momentum flow is encoded by link diagrams. Two challenging problems are posed by this nexus of knot/number/field theory: enumeration of positive knots, and enumeration of irreducible MZVs. Both were recently tackled by Broadhurst and Kreimer (BK). Here we report large-scale analytical and numerical computations that test, with considerable severity, the BK conjecture that the number, $D_{n,k}$, of irreducible MZVs of weight $n$ and depth $k$, is generated by $\prod_{n\ge3}\prod_{k\ge1}(1-x^n y^k) ^{D_{n,k}}=1-\frac{x^3y}{1-x^2}+\frac{x^{12}y^2(1-y^2)}{(1-x^4)(1-x^6)}$, which is here shown to be consistent with all shuffle identities for the corresponding iterated integrals, up to weights $n=44, 37, 42, 27$, at depths $k=2, 3, 4, 5$, respectively, entailing computation at the petashuffle level. We recount the field-theoretic discoveries of MZVs, in counterterms, and of Euler sums, from more general Feynman diagrams, that led to this success. |
1102.2877 | Balt van Rees | Nikolay Bobev and Balt C. van Rees | Schr\"odinger Deformations of AdS_3 x S^3 | 23 pages | JHEP 1108 (2011) 062 | 10.1007/JHEP08(2011)062 | YITP-SB-01-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Schr\"odinger invariant deformations of the AdS_3 x S^3 x T^4 (or
K3) solution of IIB supergravity and find a large class of solutions with
integer and half-integer dynamical exponents. We analyze the supersymmetries
preserved by our solutions and find an infinite number of solutions with four
supersymmetries. We study the solutions holographically and find that the dual
D1-D5 (or F1-NS5) CFT is deformed by irrelevant operators of spin one and two.
| [
{
"created": "Mon, 14 Feb 2011 20:23:30 GMT",
"version": "v1"
}
] | 2013-02-19 | [
[
"Bobev",
"Nikolay",
""
],
[
"van Rees",
"Balt C.",
""
]
] | We study Schr\"odinger invariant deformations of the AdS_3 x S^3 x T^4 (or K3) solution of IIB supergravity and find a large class of solutions with integer and half-integer dynamical exponents. We analyze the supersymmetries preserved by our solutions and find an infinite number of solutions with four supersymmetries. We study the solutions holographically and find that the dual D1-D5 (or F1-NS5) CFT is deformed by irrelevant operators of spin one and two. |
hep-th/9608169 | R. H. Dijkgraaf | R. Dijkgraaf, G. Moore | Balanced Topological Field Theories | 40 pages, harvmac, references added, to appear in Commun. Math. Phys | Commun.Math.Phys. 185 (1997) 411-440 | 10.1007/s002200050097 | YCTP-P17-96 | hep-th | null | We describe a class of topological field theories called ``balanced
topological field theories.'' These theories are associated to moduli problems
with vanishing virtual dimension and calculate the Euler character of various
moduli spaces. We show that these theories are closely related to the geometry
and equivariant cohomology of ``iterated superspaces'' that carry two
differentials. We find the most general action for these theories, which turns
out to define Morse theory on field space. We illustrate the constructions with
numerous examples. Finally, we relate these theories to topological
sigma-models twisted using an isometry of the target space.
| [
{
"created": "Mon, 26 Aug 1996 09:40:05 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 1996 08:36:32 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dijkgraaf",
"R.",
""
],
[
"Moore",
"G.",
""
]
] | We describe a class of topological field theories called ``balanced topological field theories.'' These theories are associated to moduli problems with vanishing virtual dimension and calculate the Euler character of various moduli spaces. We show that these theories are closely related to the geometry and equivariant cohomology of ``iterated superspaces'' that carry two differentials. We find the most general action for these theories, which turns out to define Morse theory on field space. We illustrate the constructions with numerous examples. Finally, we relate these theories to topological sigma-models twisted using an isometry of the target space. |
1810.03953 | Richard Szabo | Vincenzo E. Marotta, Richard J. Szabo | Para-Hermitian Geometry, Dualities and Generalized Flux Backgrounds | 68 pages; v2: typos corrected; Final version to be published in
Fortschritte der Physik | null | 10.1002/prop.201800093 | EMPG-18-20 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We survey physical models which capture the main concepts of double field
theory on para-Hermitian manifolds. We show that the geometric theory of
Lagrangian and Hamiltonian dynamical systems is an instance of para-Kahler
geometry which extends to a natural example of a Born geometry. The
corresponding phase space geometry belongs to the family of natural almost
para-Kahler structures which we construct explicitly as deformations of the
canonical para-Kahler structure by non-linear connections. We extend this
framework to a class of non-Lagrangian dynamical systems which naturally
encodes the notion of fluxes in para-Hermitian geometry. In this case we
describe the emergence of fluxes in terms of weak integrability defined by the
D-bracket, and we extend the construction to arbitrary cotangent bundles where
we reproduce the standard generalized fluxes of double field theory. We also
describe the para-Hermitian geometry of Drinfel'd doubles, which gives an
explicit illustration of the interplay between fluxes, D-brackets and different
polarizations. The left-invariant para-Hermitian structure on a Drinfel'd
double in a Manin triple polarization descends to a doubled twisted torus,
which we use to illustrate how changes of polarizations give rise to different
fluxes and string backgrounds in para-Hermitian geometry.
| [
{
"created": "Tue, 9 Oct 2018 13:19:24 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2018 18:40:24 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Marotta",
"Vincenzo E.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We survey physical models which capture the main concepts of double field theory on para-Hermitian manifolds. We show that the geometric theory of Lagrangian and Hamiltonian dynamical systems is an instance of para-Kahler geometry which extends to a natural example of a Born geometry. The corresponding phase space geometry belongs to the family of natural almost para-Kahler structures which we construct explicitly as deformations of the canonical para-Kahler structure by non-linear connections. We extend this framework to a class of non-Lagrangian dynamical systems which naturally encodes the notion of fluxes in para-Hermitian geometry. In this case we describe the emergence of fluxes in terms of weak integrability defined by the D-bracket, and we extend the construction to arbitrary cotangent bundles where we reproduce the standard generalized fluxes of double field theory. We also describe the para-Hermitian geometry of Drinfel'd doubles, which gives an explicit illustration of the interplay between fluxes, D-brackets and different polarizations. The left-invariant para-Hermitian structure on a Drinfel'd double in a Manin triple polarization descends to a doubled twisted torus, which we use to illustrate how changes of polarizations give rise to different fluxes and string backgrounds in para-Hermitian geometry. |
1706.07474 | Hasmik Poghosyan Mrs | Hasmik Poghosyan | The light asymptotic limit of conformal blocks in $\mathcal{N}=1$ super
Liouville field theory | 26 pages, 5 figures | null | 10.1007/JHEP09(2017)062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Analytic expressions for the two dimensional $\mathcal{N}=1$ SLFT blocks in
the light semi-classical limit are found for both Neveu-Schwarz and Ramond
sectors. The calculations are done by using the duality between $SU(2)$
$\mathcal{N}=2$ super-symmetric gauge theories living on $R^4/Z_2$ space and
two dimensional $\mathcal{N}=1$ super Liouville field theory. It is shown that
in the light asymptotic limit only a restricted set of Young diagrams
contribute to the partition function. This enables us to sum up the instanton
series explicitly and find closed expressions for the corresponding
$\mathcal{N}=1$ SLFT four point blocks in the light asymptotic limit.
| [
{
"created": "Thu, 22 Jun 2017 19:50:59 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Poghosyan",
"Hasmik",
""
]
] | Analytic expressions for the two dimensional $\mathcal{N}=1$ SLFT blocks in the light semi-classical limit are found for both Neveu-Schwarz and Ramond sectors. The calculations are done by using the duality between $SU(2)$ $\mathcal{N}=2$ super-symmetric gauge theories living on $R^4/Z_2$ space and two dimensional $\mathcal{N}=1$ super Liouville field theory. It is shown that in the light asymptotic limit only a restricted set of Young diagrams contribute to the partition function. This enables us to sum up the instanton series explicitly and find closed expressions for the corresponding $\mathcal{N}=1$ SLFT four point blocks in the light asymptotic limit. |
hep-th/0702051 | Holger Weyer | M. Reuter, H. Weyer | On the Possibility of Quantum Gravity Effects at Astrophysical Scales | LaTeX, 18 pages, 4 figures. Invited contribution to the Int. J. Mod.
Phys. D special issue on dark matter and dark energy | Int.J.Mod.Phys.D15:2011-2028,2006 | 10.1142/S0218271806009443 | MZ-TH/07-01 | hep-th astro-ph gr-qc | null | The nonperturbative renormalization group flow of Quantum Einstein Gravity
(QEG) is reviewed. It is argued that at large distances there could be strong
renormalization effects, including a scale dependence of Newton's constant,
which mimic the presence of dark matter at galactic and cosmological scales.
| [
{
"created": "Wed, 7 Feb 2007 16:11:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Reuter",
"M.",
""
],
[
"Weyer",
"H.",
""
]
] | The nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) is reviewed. It is argued that at large distances there could be strong renormalization effects, including a scale dependence of Newton's constant, which mimic the presence of dark matter at galactic and cosmological scales. |
hep-th/0609157 | Marija Zamaklar | Gleb Arutyunov, Sergey Frolov, Jan Plefka and Marija Zamaklar | The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring | 30 pages, one figure | J.Phys.A40:3583-3606,2007 | 10.1088/1751-8113/40/13/018 | AEI-2006-071, HU-EP-06/31, ITP-UU-06-39, TCDMATH 06-13 | hep-th | null | We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating
in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the
off-shell theory by relaxing the level-matching condition and take the limit of
infinite light-cone momentum, which decompactifies the string world-sheet. We
focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone
Hamiltonian invariant and show that it undergoes extension by a central element
which is expressed in terms of the level-matching operator. This result is in
agreement with the conjectured symmetry algebra of the dynamic S-matrix in the
dual N=4 gauge theory.
| [
{
"created": "Fri, 22 Sep 2006 15:06:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arutyunov",
"Gleb",
""
],
[
"Frolov",
"Sergey",
""
],
[
"Plefka",
"Jan",
""
],
[
"Zamaklar",
"Marija",
""
]
] | We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory. |
0704.0083 | Andrei Barvinsky | A.O.Barvinsky | Why there is something rather than nothing (out of everything)? | 4 pages, RevTex, several references added and minor changes done | Phys.Rev.Lett.99:071301,2007 | 10.1103/PhysRevLett.99.071301 | null | hep-th | null | The path integral over Euclidean geometries for the recently suggested
density matrix of the Universe is shown to describe a microcanonical ensemble
in quantum cosmology. This ensemble corresponds to a uniform (weight one)
distribution in phase space of true physical variables, but in terms of the
observable spacetime geometry it is peaked about complex saddle-points of the
{\em Lorentzian} path integral. They are represented by the recently obtained
cosmological instantons limited to a bounded range of the cosmological
constant. Inflationary cosmologies generated by these instantons at late stages
of expansion undergo acceleration whose low-energy scale can be attained within
the concept of dynamically evolving extra dimensions. Thus, together with the
bounded range of the early cosmological constant, this cosmological ensemble
suggests the mechanism of constraining the landscape of string vacua and,
simultaneously, a possible solution to the dark energy problem in the form of
the quasi-equilibrium decay of the microcanonical state of the Universe.
| [
{
"created": "Sun, 1 Apr 2007 12:38:03 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2007 19:39:24 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Barvinsky",
"A. O.",
""
]
] | The path integral over Euclidean geometries for the recently suggested density matrix of the Universe is shown to describe a microcanonical ensemble in quantum cosmology. This ensemble corresponds to a uniform (weight one) distribution in phase space of true physical variables, but in terms of the observable spacetime geometry it is peaked about complex saddle-points of the {\em Lorentzian} path integral. They are represented by the recently obtained cosmological instantons limited to a bounded range of the cosmological constant. Inflationary cosmologies generated by these instantons at late stages of expansion undergo acceleration whose low-energy scale can be attained within the concept of dynamically evolving extra dimensions. Thus, together with the bounded range of the early cosmological constant, this cosmological ensemble suggests the mechanism of constraining the landscape of string vacua and, simultaneously, a possible solution to the dark energy problem in the form of the quasi-equilibrium decay of the microcanonical state of the Universe. |
hep-th/0006097 | M. N. Chernodub | M.N.Chernodub (ITEP, Moscow) | Interaction of electric charges in (2+1)D magnetic dipole gas | 23 pages, 12 EPS figures, RevTeX, uses epsfig.sty; misprints
corrected (to appear in Phys.Rev.D) | Phys.Rev. D63 (2001) 025003 | 10.1103/PhysRevD.63.025003 | ITEP-TH-29/00 | hep-th hep-lat hep-ph | null | The interaction of electrically charged particles in a dilute gas of
point--like magnetic dipoles is studied. We show that the interaction potential
at small distances has a linear piece due to overlap of the dipole clouds
gathered near electric sources. At large distances the potential becomes of the
Coulomb type with non-perturbatively renormalized charge of the test particle.
The physical applications of these results are discussed.
| [
{
"created": "Wed, 14 Jun 2000 10:23:18 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Oct 2000 14:24:46 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Chernodub",
"M. N.",
"",
"ITEP, Moscow"
]
] | The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near electric sources. At large distances the potential becomes of the Coulomb type with non-perturbatively renormalized charge of the test particle. The physical applications of these results are discussed. |
1209.5271 | Fidel Schaposnik | Paul Frampton | Using Newton's Law for Dark Energy | 4 pages, no figures | null | 10.1142/S0217732312502045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A model is introduced in which Newton's law is modified between matter and
dark energy corpuscles (DECs). The model predicts that the DEC component is
presently decelerating in its expansion at 14% of the magnitude of the matter
expansion acceleration. In the future, expansion of the DEC universe will
continue to decelerate.
| [
{
"created": "Mon, 24 Sep 2012 13:57:48 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Frampton",
"Paul",
""
]
] | A model is introduced in which Newton's law is modified between matter and dark energy corpuscles (DECs). The model predicts that the DEC component is presently decelerating in its expansion at 14% of the magnitude of the matter expansion acceleration. In the future, expansion of the DEC universe will continue to decelerate. |
2209.09939 | Antonios Kalogirou | Nikos Irges (NTU of Athens), Antonis Kalogirou (NTU of Athens) and
Fotis Koutroulis (Warsaw Un.) | Ising Cosmology | 10 pages, 1 figure, version accepted for publication | Eur. Phys. J. C 83, 431 (2023) | 10.1140/epjc/s10052-023-11622-8 | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Using arguments from holography we propose that the deviation of the
cosmological spectral index $n_S$ of scalar fluctuations from unity may be
controlled almost entirely by the critical exponent $\eta$ of the $d = 3$ Ising
model
| [
{
"created": "Tue, 20 Sep 2022 18:28:36 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Dec 2022 09:14:36 GMT",
"version": "v2"
},
{
"created": "Sun, 14 May 2023 19:11:54 GMT",
"version": "v3"
}
] | 2023-05-24 | [
[
"Irges",
"Nikos",
"",
"NTU of Athens"
],
[
"Kalogirou",
"Antonis",
"",
"NTU of Athens"
],
[
"Koutroulis",
"Fotis",
"",
"Warsaw Un."
]
] | Using arguments from holography we propose that the deviation of the cosmological spectral index $n_S$ of scalar fluctuations from unity may be controlled almost entirely by the critical exponent $\eta$ of the $d = 3$ Ising model |
hep-th/9307182 | Parthasarathi Majumdar | Saurya Das and Parthasarathi Majumdar | Charge-monopole versus Gravitational Scattering at Planckian Energies | 9 pages, revtex, IMSc/93-42 | Phys.Rev.Lett. 72 (1994) 2524-2526 | 10.1103/PhysRevLett.72.2524 | null | hep-th | null | The amplitude for the scattering of a point magnetic monopole and a point
charge, at centre-of-mass energies much larger than the masses of the
particles, and in the limit of low momentum transfer, is shown to be
proportional to the (integer-valued) monopole strength, assuming the Dirac
quantization condition for the monopole-charge system. It is demonstrated that,
for small momentum transfer, charge-monopole electromagnetic effects remain
comparable to those due to the gravitational interaction between the particles
even at Planckian centre-of-mass energies.
| [
{
"created": "Thu, 29 Jul 1993 16:58:01 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Das",
"Saurya",
""
],
[
"Majumdar",
"Parthasarathi",
""
]
] | The amplitude for the scattering of a point magnetic monopole and a point charge, at centre-of-mass energies much larger than the masses of the particles, and in the limit of low momentum transfer, is shown to be proportional to the (integer-valued) monopole strength, assuming the Dirac quantization condition for the monopole-charge system. It is demonstrated that, for small momentum transfer, charge-monopole electromagnetic effects remain comparable to those due to the gravitational interaction between the particles even at Planckian centre-of-mass energies. |
0811.2086 | Hossein Yavartanoo | Ki-Myeong Lee, Eoin \'O Colg\'ain, Hossein Yavartanoo and K. P.
Yogendran | BPS D0-D6 Branes in Supergravity | 30 pages,1 figure, references added, typos fixed | JHEP 0903:009,2009 | 10.1088/1126-6708/2009/03/009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse 1/2 BPS IIA Dp-brane supergravity solutions with $B$-fields and
their Killing spinor equations. Via probe analysis, we rederive the
supersymmetry conditions for D0-Dp with $B$-fields. In the case of D6 with
$B$-fields, the D0-probe sees a multi-centred BPS configuration where the
$B$-fields give the location of a wall of marginal stability. Finally we go
beyond the probe approximation and construct a 1/8 BPS supergravity solution
for a fully back-reacted D0-D6 with $B$-fields.
| [
{
"created": "Thu, 13 Nov 2008 12:20:08 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2008 01:43:24 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Mar 2009 01:12:17 GMT",
"version": "v3"
}
] | 2009-03-31 | [
[
"Lee",
"Ki-Myeong",
""
],
[
"Colgáin",
"Eoin Ó",
""
],
[
"Yavartanoo",
"Hossein",
""
],
[
"Yogendran",
"K. P.",
""
]
] | We analyse 1/2 BPS IIA Dp-brane supergravity solutions with $B$-fields and their Killing spinor equations. Via probe analysis, we rederive the supersymmetry conditions for D0-Dp with $B$-fields. In the case of D6 with $B$-fields, the D0-probe sees a multi-centred BPS configuration where the $B$-fields give the location of a wall of marginal stability. Finally we go beyond the probe approximation and construct a 1/8 BPS supergravity solution for a fully back-reacted D0-D6 with $B$-fields. |
hep-th/0110293 | Domenico Seminara | L. Griguolo (Parma U.), D. Seminara (Florence U.) and P. Valtancoli
(Florence U.) | Towards the solution of noncommutative $YM_2$: Morita equivalence and
large N-limit | 21 pages, JHEP3 preprint tex-format | JHEP 0112:024,2001 | 10.1088/1126-6708/2001/12/024 | UPRF-2001-22 | hep-th | null | In this paper we shall investigate the possibility of solving U(1) theories
on the non-commutative (NC) plane for arbitrary values of $\theta$ by
exploiting Morita equivalence. This duality maps the NC U(1) on the two-torus
with a rational parameter $\theta$ to the standard U(N) theory in the presence
of a 't Hooft flux, whose solution is completely known. Thus, assuming a smooth
dependence on $\theta$, we are able to construct a series rational approximants
of the original theory, which is finally reached by taking the large $N-$limit
at fixed 't Hooft flux. As we shall see, this procedure hides some subletities
since the approach of $N$ to infinity is linked to the shrinking of the
commutative two-torus to zero-size. The volume of NC torus instead diverges and
it provides a natural cut-off for some intermediate steps of our computation.
In this limit, we shall compute both the partition function and the correlator
of two Wilson lines. A remarkable fact is that the configurations, providing a
finite action in this limit, are in correspondence with the non-commutative
solitons (fluxons) found independently by Polychronakos and by Gross and
Nekrasov, through a direct computation on the plane.
| [
{
"created": "Wed, 31 Oct 2001 10:36:54 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Griguolo",
"L.",
"",
"Parma U."
],
[
"Seminara",
"D.",
"",
"Florence U."
],
[
"Valtancoli",
"P.",
"",
"Florence U."
]
] | In this paper we shall investigate the possibility of solving U(1) theories on the non-commutative (NC) plane for arbitrary values of $\theta$ by exploiting Morita equivalence. This duality maps the NC U(1) on the two-torus with a rational parameter $\theta$ to the standard U(N) theory in the presence of a 't Hooft flux, whose solution is completely known. Thus, assuming a smooth dependence on $\theta$, we are able to construct a series rational approximants of the original theory, which is finally reached by taking the large $N-$limit at fixed 't Hooft flux. As we shall see, this procedure hides some subletities since the approach of $N$ to infinity is linked to the shrinking of the commutative two-torus to zero-size. The volume of NC torus instead diverges and it provides a natural cut-off for some intermediate steps of our computation. In this limit, we shall compute both the partition function and the correlator of two Wilson lines. A remarkable fact is that the configurations, providing a finite action in this limit, are in correspondence with the non-commutative solitons (fluxons) found independently by Polychronakos and by Gross and Nekrasov, through a direct computation on the plane. |
1201.1877 | Robert Oeckl | Robert Oeckl (UNAM) | Schr\"odinger-Feynman quantization and composition of observables in
general boundary quantum field theory | 47 pages, LaTeX + AMS; v2: minor corrections, references updated | Adv. Theor. Math. Phys. 19 (2015) 451-506 | 10.4310/ATMP.2015.v19.n2.a2 | UNAM-CCM-2012-1 | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the Feynman path integral together with the Schr\"odinger
representation gives rise to a rigorous and functorial quantization scheme for
linear and affine field theories. Since our target framework is the general
boundary formulation, the class of field theories that can be quantized in this
way includes theories without a metric spacetime background. We also show that
this quantization scheme is equivalent to a holomorphic quantization scheme
proposed earlier and based on geometric quantization. We proceed to include
observables into the scheme, quantized also through the path integral. We show
that the quantized observables satisfy the canonical commutation relations, a
feature shared with other quantization schemes also discussed. However, in
contrast to other schemes the presented quantization also satisfies a
correspondence between the composition of classical observables through their
product and the composition of their quantized counterparts through spacetime
gluing. In the special case of quantum field theory in Minkowski space this
reproduces the operationally correct composition of observables encoded in the
time-ordered product. We show that the quantization scheme also generalizes
other features of quantum field theory such as the generating function of the
S-matrix.
| [
{
"created": "Mon, 9 Jan 2012 19:20:47 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 2015 14:20:53 GMT",
"version": "v2"
}
] | 2015-12-15 | [
[
"Oeckl",
"Robert",
"",
"UNAM"
]
] | We show that the Feynman path integral together with the Schr\"odinger representation gives rise to a rigorous and functorial quantization scheme for linear and affine field theories. Since our target framework is the general boundary formulation, the class of field theories that can be quantized in this way includes theories without a metric spacetime background. We also show that this quantization scheme is equivalent to a holomorphic quantization scheme proposed earlier and based on geometric quantization. We proceed to include observables into the scheme, quantized also through the path integral. We show that the quantized observables satisfy the canonical commutation relations, a feature shared with other quantization schemes also discussed. However, in contrast to other schemes the presented quantization also satisfies a correspondence between the composition of classical observables through their product and the composition of their quantized counterparts through spacetime gluing. In the special case of quantum field theory in Minkowski space this reproduces the operationally correct composition of observables encoded in the time-ordered product. We show that the quantization scheme also generalizes other features of quantum field theory such as the generating function of the S-matrix. |
hep-th/9610176 | null | Anna Tollsten | String Solutions to Supergravity | 9 pages, latex, uses a4.sty, no figures, contribution to the
proceedings of the workshop Gauge Theory, Applied Supersymmetry and Quantum
Gravity, Imperial College, London 1996 | null | 10.1142/9781848160927_0030 | NBI-HE 96-61 | hep-th | null | We find the comlete solution to ten-dimensional supergravity coupled to a
three-form field strength, given the ``standard ansatz" for the fields, and
show that in addition to the well-known elementary and solitonic (heterotic)
string solutions, one of the possibilities is an (unstable) elementary type I
string solution.
| [
{
"created": "Wed, 23 Oct 1996 11:16:59 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Tollsten",
"Anna",
""
]
] | We find the comlete solution to ten-dimensional supergravity coupled to a three-form field strength, given the ``standard ansatz" for the fields, and show that in addition to the well-known elementary and solitonic (heterotic) string solutions, one of the possibilities is an (unstable) elementary type I string solution. |
1007.5199 | Shinji Mukohyama | Shinji Mukohyama | Horava-Lifshitz Cosmology: A Review | 28 pages, invited review for CQG; version to be published (v2) | Class.Quant.Grav.27:223101,2010 | 10.1088/0264-9381/27/22/223101 | IPMU10-0120 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article reviews basic construction and cosmological implications of a
power-counting renormalizable theory of gravitation recently proposed by
Horava. We explain that (i) at low energy this theory does not exactly recover
general relativity but instead mimic general relativity plus dark matter; that
(ii) higher spatial curvature terms allow bouncing and cyclic universes as
regular solutions; and that (iii) the anisotropic scaling with the dynamical
critical exponent z=3 solves the horizon problem and leads to scale-invariant
cosmological perturbations even without inflation. We also comment on issues
related to an extra scalar degree of freedom called scalar graviton. In
particular, for spherically-symmetric, static, vacuum configurations we prove
non-perturbative continuity of the lambda->1+0 limit, where lambda is a
parameter in the kinetic action and general relativity has the value lambda=1.
We also derive the condition under which linear instability of the scalar
graviton does not show up.
| [
{
"created": "Thu, 29 Jul 2010 12:17:05 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2010 20:05:21 GMT",
"version": "v2"
}
] | 2010-11-03 | [
[
"Mukohyama",
"Shinji",
""
]
] | This article reviews basic construction and cosmological implications of a power-counting renormalizable theory of gravitation recently proposed by Horava. We explain that (i) at low energy this theory does not exactly recover general relativity but instead mimic general relativity plus dark matter; that (ii) higher spatial curvature terms allow bouncing and cyclic universes as regular solutions; and that (iii) the anisotropic scaling with the dynamical critical exponent z=3 solves the horizon problem and leads to scale-invariant cosmological perturbations even without inflation. We also comment on issues related to an extra scalar degree of freedom called scalar graviton. In particular, for spherically-symmetric, static, vacuum configurations we prove non-perturbative continuity of the lambda->1+0 limit, where lambda is a parameter in the kinetic action and general relativity has the value lambda=1. We also derive the condition under which linear instability of the scalar graviton does not show up. |
1701.08239 | Sergei V. Ketov | Sergei V. Ketov and Hiroshi Nakada | Inflation from $(R+\gamma R^n-2\Lambda)$ Gravity in Higher Dimensions | 13 pages, 2 figures, LaTeX2e; more comments and references added | Phys. Rev. D 95, 103507 (2017) | 10.1103/PhysRevD.95.103507 | IPMU17-0006 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a derivation of the inflaton scalar potential from the higher
$(D)$ dimensional $(R+\gamma R^n-2\Lambda)$ gravity, with the new coupling
constant $\gamma$ and the cosmological constant $\Lambda$. We assume that a
compactification of extra dimensions happened before inflation, so that the
inflaton scalar potential in four spacetime dimensions appears to be dependent
upon the parameters $(\gamma,\Lambda ,D,n)$. We find that consistency requires
$n=D/2$, while the dimension $D$ has to be a multiple of four. We calculate the
potential for any $D$, and determine the values of $\gamma$ and $\Lambda$ from
observations. The cases of $D=8$ and $D=12$ are considered in more detail. Our
approach results in the viable models of chaotic large-field inflation, and
leads to the sharp predictions of an observable value of the tensor-to-scalar
ratio $r$ of the Cosmic Microwave Background radiation.
| [
{
"created": "Sat, 28 Jan 2017 02:45:36 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2017 05:21:37 GMT",
"version": "v2"
}
] | 2017-05-24 | [
[
"Ketov",
"Sergei V.",
""
],
[
"Nakada",
"Hiroshi",
""
]
] | We propose a derivation of the inflaton scalar potential from the higher $(D)$ dimensional $(R+\gamma R^n-2\Lambda)$ gravity, with the new coupling constant $\gamma$ and the cosmological constant $\Lambda$. We assume that a compactification of extra dimensions happened before inflation, so that the inflaton scalar potential in four spacetime dimensions appears to be dependent upon the parameters $(\gamma,\Lambda ,D,n)$. We find that consistency requires $n=D/2$, while the dimension $D$ has to be a multiple of four. We calculate the potential for any $D$, and determine the values of $\gamma$ and $\Lambda$ from observations. The cases of $D=8$ and $D=12$ are considered in more detail. Our approach results in the viable models of chaotic large-field inflation, and leads to the sharp predictions of an observable value of the tensor-to-scalar ratio $r$ of the Cosmic Microwave Background radiation. |
hep-th/9507062 | Akikazu Hashimoto | Akikazu Hashimoto and Igor R. Klebanov | Matrix Model Approach to $d>2$ Non-critical Superstrings | 11 pages, 3 Encapsulated Postscript figures. uses psfig.sty
(available from http://xxx.lanl.gov/ftp/hep-th/papers/macros) | Mod.Phys.Lett. A10 (1995) 2639-2649 | 10.1142/S0217732395002775 | PUPT-1551 | hep-th | null | We apply light-cone quantization to a $1+1$ dimensional supersymmetric field
theory of large N matrices. We provide some preliminary numerical evidence that
when the coupling constant is tuned to a critical value, this model describes a
2+1 dimensional non-critical superstring.
| [
{
"created": "Mon, 10 Jul 1995 20:57:42 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hashimoto",
"Akikazu",
""
],
[
"Klebanov",
"Igor R.",
""
]
] | We apply light-cone quantization to a $1+1$ dimensional supersymmetric field theory of large N matrices. We provide some preliminary numerical evidence that when the coupling constant is tuned to a critical value, this model describes a 2+1 dimensional non-critical superstring. |
1707.04613 | Ilarion Melnikov | Ilarion V. Melnikov, Ruben Minasian and Savdeep Sethi | Spacetime supersymmetry in low-dimensional perturbative heterotic
compactifications | 27 pages; D=2 mistake corrected; typos fixed and references added | null | 10.1002/prop.201800027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the constraints of spacetime supersymmetry for perturbative three-
and two-dimensional Minkowski vacua of the critical heterotic string. Assuming
a standard RNS construction of the spacetime supersymmetry generators and a
compact unitary internal superconformal worldsheet theory, we describe the
worldsheet structures associated to various spacetime supersymmetries. In three
dimensions we show that there are no CFT surprises: each allowed spacetime
supersymmetry is realized by a supergravity compactification. As a recent
orbifold construction shows, in two dimensions there are more exotic
possibilities, and we discuss how these fit into our analysis.
| [
{
"created": "Fri, 14 Jul 2017 19:13:46 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2018 02:03:24 GMT",
"version": "v2"
}
] | 2018-07-04 | [
[
"Melnikov",
"Ilarion V.",
""
],
[
"Minasian",
"Ruben",
""
],
[
"Sethi",
"Savdeep",
""
]
] | We study the constraints of spacetime supersymmetry for perturbative three- and two-dimensional Minkowski vacua of the critical heterotic string. Assuming a standard RNS construction of the spacetime supersymmetry generators and a compact unitary internal superconformal worldsheet theory, we describe the worldsheet structures associated to various spacetime supersymmetries. In three dimensions we show that there are no CFT surprises: each allowed spacetime supersymmetry is realized by a supergravity compactification. As a recent orbifold construction shows, in two dimensions there are more exotic possibilities, and we discuss how these fit into our analysis. |
hep-th/0003123 | Oleg V. Shaynkman | O.V. Shaynkman, M.A. Vasiliev | Scalar Field in Any Dimension from the Higher Spin Gauge Theory
Perspective | LaTeX, 21 pages, M.V. Saveliev's memorial volume of Theor. Math. Phys | Theor.Math.Phys. 123 (2000) 683-700; Teor.Mat.Fiz. 123 (2000)
323-344 | null | FIAN/TD/08--00 | hep-th | null | We formulate the equations of motion of a free scalar field in the flat and
$AdS$ space of an arbitrary dimension in the form of some "higher spin"
covariant constancy conditions. Klein-Gordon equation is interpreted as a
non-trivial cohomology of a certain "\sgm-complex". The action principle for a
scalar field is formulated in terms of the "higher-spin" covariant derivatives
for an arbitrary mass in $AdS_d$ and for a non-zero mass in the flat space. The
constructed action is shown to be equivalent to the standard first-order
Klein-Gordon action at the quadratic level but becomes different at the
interaction level because of the presence of an infinite set of auxiliary
fields which do not contribute at the free level. The example of Yang-Mills
current interaction is considered in some detail. It is shown in particular how
the proposed action generates the pseudolocally exact form of the matter
currents in $AdS_d$.
| [
{
"created": "Wed, 15 Mar 2000 12:07:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shaynkman",
"O. V.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] | We formulate the equations of motion of a free scalar field in the flat and $AdS$ space of an arbitrary dimension in the form of some "higher spin" covariant constancy conditions. Klein-Gordon equation is interpreted as a non-trivial cohomology of a certain "\sgm-complex". The action principle for a scalar field is formulated in terms of the "higher-spin" covariant derivatives for an arbitrary mass in $AdS_d$ and for a non-zero mass in the flat space. The constructed action is shown to be equivalent to the standard first-order Klein-Gordon action at the quadratic level but becomes different at the interaction level because of the presence of an infinite set of auxiliary fields which do not contribute at the free level. The example of Yang-Mills current interaction is considered in some detail. It is shown in particular how the proposed action generates the pseudolocally exact form of the matter currents in $AdS_d$. |
1412.7117 | Kallosh Renata | Renata Kallosh | An Update on Perturbative N=8 Supergravity | 8 pages | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the recent pure spinor analysis of the UV divergences by
Karlsson, there are no divergent 1PI structures beyond 6 loops in D=4 N=8
supergravity. In combination with the common expectation that the UV
divergences do not appear at less than 7 loops, this may imply that the 4-point
amplitude in D=4 N=8 supergravity is all-loop finite. This differs from the
result of the previous studies of pure spinors, which suggested that there is a
UV divergence at 7 loops in D=4. Therefore an independent investigation of the
pure spinor formalism predictions is desirable, as well as continuation of
explicit loop computations. In the meantime, we revisit here our earlier
arguments on UV finiteness of N=8 supergravity based on the absence of the
off-shell light-cone superspace counterterms, as well as on the E_{7(7)}
current conservation. We believe that both arguments remain valid in view of
the developments in this area during the last few years.
| [
{
"created": "Mon, 22 Dec 2014 20:01:22 GMT",
"version": "v1"
}
] | 2014-12-23 | [
[
"Kallosh",
"Renata",
""
]
] | According to the recent pure spinor analysis of the UV divergences by Karlsson, there are no divergent 1PI structures beyond 6 loops in D=4 N=8 supergravity. In combination with the common expectation that the UV divergences do not appear at less than 7 loops, this may imply that the 4-point amplitude in D=4 N=8 supergravity is all-loop finite. This differs from the result of the previous studies of pure spinors, which suggested that there is a UV divergence at 7 loops in D=4. Therefore an independent investigation of the pure spinor formalism predictions is desirable, as well as continuation of explicit loop computations. In the meantime, we revisit here our earlier arguments on UV finiteness of N=8 supergravity based on the absence of the off-shell light-cone superspace counterterms, as well as on the E_{7(7)} current conservation. We believe that both arguments remain valid in view of the developments in this area during the last few years. |
1204.4207 | Daniel Baumann | Valentin Assassi, Daniel Baumann and Daniel Green | On Soft Limits of Inflationary Correlation Functions | 26 pages, 5 figures; V2: references added + pedagogical improvements
of Sec. 2 and App. A | null | 10.1088/1475-7516/2012/11/047 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Soft limits of inflationary correlation functions are both observationally
relevant and theoretically robust. Various theorems can be proven about them
that are insensitive to detailed model-building assumptions. In this paper, we
re-derive several of these theorems in a universal way. Our method makes
manifest why soft limits are such an interesting probe of the spectrum of
additional light fields during inflation. We illustrate these abstract results
with a detailed case study of the soft limits of quasi-single-field inflation.
| [
{
"created": "Wed, 18 Apr 2012 20:50:51 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jun 2012 15:54:08 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Assassi",
"Valentin",
""
],
[
"Baumann",
"Daniel",
""
],
[
"Green",
"Daniel",
""
]
] | Soft limits of inflationary correlation functions are both observationally relevant and theoretically robust. Various theorems can be proven about them that are insensitive to detailed model-building assumptions. In this paper, we re-derive several of these theorems in a universal way. Our method makes manifest why soft limits are such an interesting probe of the spectrum of additional light fields during inflation. We illustrate these abstract results with a detailed case study of the soft limits of quasi-single-field inflation. |
hep-th/0307047 | Jon Links | P.S. Isaac, W.P. Joyce, J. Links | Quark confinement without a confining force | revtex, 5 pages | null | null | null | hep-th math-ph math.MP | null | We show that a non-associative structure applied to the algebra of Fermi
operators with su(3) colour degrees of freedom leads to a consistent Fermi
statistic for the tensor operators of the colour algebra. A consequence of this
construction is that leads to quark confinement, without the need to resort to
a confining force. Confinement arises as a symmetry constraint in much the same
manner as the Pauli exclusion principle.
| [
{
"created": "Fri, 4 Jul 2003 05:21:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Isaac",
"P. S.",
""
],
[
"Joyce",
"W. P.",
""
],
[
"Links",
"J.",
""
]
] | We show that a non-associative structure applied to the algebra of Fermi operators with su(3) colour degrees of freedom leads to a consistent Fermi statistic for the tensor operators of the colour algebra. A consequence of this construction is that leads to quark confinement, without the need to resort to a confining force. Confinement arises as a symmetry constraint in much the same manner as the Pauli exclusion principle. |
hep-th/9812192 | Pierre Mathieu | P. Mathieu and M.A. Walton | On Principal Admissible Representations and Conformal Field Theory | Harvmac (b mode : 32 p; l mode: 36 p), 5 figures, some minor
reformulations, references added and typos corrected | Nucl.Phys. B553 (1999) 533-558 | 10.1016/S0550-3213(99)00252-7 | LAVAL-PHY-98-29 | hep-th | null | The principal admissible representations of affine Kac-Moody algebras are
studied, with a view to their use in conformal field theory. We discuss the
generation of the set of principal admissible highest weights, concentrating
mainly on $A_r^{(1)}$ at rational level $k$. A related algorithm is described
that produces the Malikov-Feigen-Fuchs null vectors of these representations.
With the principal admissible description of the highest weights, we are able
to prove that field identifications (including maverick ones) lead to the
canonical description of the primary fields of the nonunitary diagonal coset
theories.
| [
{
"created": "Mon, 21 Dec 1998 20:22:22 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Feb 1999 14:16:30 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Mathieu",
"P.",
""
],
[
"Walton",
"M. A.",
""
]
] | The principal admissible representations of affine Kac-Moody algebras are studied, with a view to their use in conformal field theory. We discuss the generation of the set of principal admissible highest weights, concentrating mainly on $A_r^{(1)}$ at rational level $k$. A related algorithm is described that produces the Malikov-Feigen-Fuchs null vectors of these representations. With the principal admissible description of the highest weights, we are able to prove that field identifications (including maverick ones) lead to the canonical description of the primary fields of the nonunitary diagonal coset theories. |
hep-th/0312109 | Igor Tyutin | S.E. Konstein, A.G. Smirnov and I.V. Tyutin | Cohomologies of the Poisson superalgebra | Comments: 40 pages, the text to appear in Theor. Math. Phys.
supplemented by computation of the 3-rd trivial cohomology | Theor.Math.Phys. 143 (2005) 625-650; Teor.Mat.Fiz. 143 (2005)
163-194 | null | null | hep-th | null | Cohomology spaces of the Poisson superalgebra realized on smooth
Grassmann-valued functions with compact support on $R^{2n}$ ($C^{2n}) are
investigated under suitable continuity restrictions on cochains. The first and
second cohomology spaces in the trivial representation and the zeroth and first
cohomology spaces in the adjoint representation of the Poisson superalgebra are
found for the case of a constant nondegenerate Poisson superbracket for
arbitrary n>0. The third cohomology space in the trivial representation and the
second cohomology space in the adjoint representation of this superalgebra are
found for arbitrary n>1.
| [
{
"created": "Wed, 10 Dec 2003 11:19:30 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Mar 2005 08:17:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Konstein",
"S. E.",
""
],
[
"Smirnov",
"A. G.",
""
],
[
"Tyutin",
"I. V.",
""
]
] | Cohomology spaces of the Poisson superalgebra realized on smooth Grassmann-valued functions with compact support on $R^{2n}$ ($C^{2n}) are investigated under suitable continuity restrictions on cochains. The first and second cohomology spaces in the trivial representation and the zeroth and first cohomology spaces in the adjoint representation of the Poisson superalgebra are found for the case of a constant nondegenerate Poisson superbracket for arbitrary n>0. The third cohomology space in the trivial representation and the second cohomology space in the adjoint representation of this superalgebra are found for arbitrary n>1. |
0911.1316 | Davide Gaiotto | Davide Gaiotto | Surface Operators in N=2 4d Gauge Theories | 25 pages, 4 figures | null | 10.1007/JHEP11(2012)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N=2 four dimensional gauge theories admit interesting half BPS surface
operators preserving a (2,2) two dimensional SUSY algebra. Typical examples are
(2,2) 2d sigma models with a flavor symmetry which is coupled to the 4d gauge
fields. Interesting features of such 2d sigma models, such as (twisted) chiral
rings, and the tt* geometry, can be carried over to the surface operators, and
are affected in surprising ways by the coupling to 4d degrees of freedom. We
will describe in detail a relation between the parameter space of twisted
couplings of the surface operator and the Seiberg-Witten geometry of the bulk
theory. We will discuss a similar result about the tt* geometry of the surface
operator. We will predict the existence and general features of a wall-crossing
formula for BPS particles bound to the surface operator.
| [
{
"created": "Fri, 6 Nov 2009 18:05:08 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Gaiotto",
"Davide",
""
]
] | N=2 four dimensional gauge theories admit interesting half BPS surface operators preserving a (2,2) two dimensional SUSY algebra. Typical examples are (2,2) 2d sigma models with a flavor symmetry which is coupled to the 4d gauge fields. Interesting features of such 2d sigma models, such as (twisted) chiral rings, and the tt* geometry, can be carried over to the surface operators, and are affected in surprising ways by the coupling to 4d degrees of freedom. We will describe in detail a relation between the parameter space of twisted couplings of the surface operator and the Seiberg-Witten geometry of the bulk theory. We will discuss a similar result about the tt* geometry of the surface operator. We will predict the existence and general features of a wall-crossing formula for BPS particles bound to the surface operator. |
hep-th/9502081 | Hyunseok Yang | Hyun Seok Yang and Bum-Hoon Lee | Noncovariant Local Symmetry in Abelian Gauge Theories | 10 pages, LevTex, Revised version published in J. Korean Phys. Soc.,
Vol. 28, No. 5, October 1995, pp. 572-575 | J.Korean Phys.Soc. 28 (1995) 572-575 | null | HYUPT-95/1, SNUTP 95-019 | hep-th | null | We find non-covariant local symmetries in the Abelian gauge theories. The
N\"other charges generating these symmetries are nilpotent as BRST charges, and
they impose constraints on the physical states.
| [
{
"created": "Tue, 14 Feb 1995 16:04:41 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Oct 1995 04:51:13 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Yang",
"Hyun Seok",
""
],
[
"Lee",
"Bum-Hoon",
""
]
] | We find non-covariant local symmetries in the Abelian gauge theories. The N\"other charges generating these symmetries are nilpotent as BRST charges, and they impose constraints on the physical states. |
1106.0080 | Ashoke Sen | Shamik Banerjee, Rajesh Kumar Gupta, Ipsita Mandal and Ashoke Sen | Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop
Test of Quantum Gravity | LaTeX file, 66 pages; v2: STU model analysis and results modified | JHEP 1111:143,2011 | 10.1007/JHEP11(2011)143 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute logarithmic corrections to the entropy of supersymmetric extremal
black holes in N=4 and N=8 supersymmetric string theories and find results in
perfect agreement with the microscopic results. In particular these logarithmic
corrections vanish for quarter BPS black holes in N=4 supersymmetric theories,
but has a finite coefficient for 1/8 BPS black holes in the N=8 supersymmetric
theory. On the macroscopic side these computations require evaluating the one
loop determinant of massless fields around the near horizon geometry, and
include, in particular, contributions from dynamical four dimensional gravitons
propagating in the loop. Thus our analysis provides a test of one loop quantum
gravity corrections to the black hole entropy, or equivalently of the
AdS_2/CFT_1 correspondence. We also extend our analysis to N=2 supersymmetric
STU model and make a prediction for the logarithmic correction to the black
hole entropy in that theory.
| [
{
"created": "Wed, 1 Jun 2011 02:36:40 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2011 03:51:33 GMT",
"version": "v2"
}
] | 2016-01-25 | [
[
"Banerjee",
"Shamik",
""
],
[
"Gupta",
"Rajesh Kumar",
""
],
[
"Mandal",
"Ipsita",
""
],
[
"Sen",
"Ashoke",
""
]
] | We compute logarithmic corrections to the entropy of supersymmetric extremal black holes in N=4 and N=8 supersymmetric string theories and find results in perfect agreement with the microscopic results. In particular these logarithmic corrections vanish for quarter BPS black holes in N=4 supersymmetric theories, but has a finite coefficient for 1/8 BPS black holes in the N=8 supersymmetric theory. On the macroscopic side these computations require evaluating the one loop determinant of massless fields around the near horizon geometry, and include, in particular, contributions from dynamical four dimensional gravitons propagating in the loop. Thus our analysis provides a test of one loop quantum gravity corrections to the black hole entropy, or equivalently of the AdS_2/CFT_1 correspondence. We also extend our analysis to N=2 supersymmetric STU model and make a prediction for the logarithmic correction to the black hole entropy in that theory. |
0710.1818 | Daniel Persson | Marc Henneaux, Daniel Persson, Philippe Spindel | Spacelike Singularities and Hidden Symmetries of Gravity | 228 pages. Typos corrected. References added. Subject index added.
Published version | Living Rev.Rel.11:1,2008 | 10.12942/lrr-2008-1 | null | hep-th gr-qc | null | We review the intimate connection between (super-)gravity close to a
spacelike singularity (the "BKL-limit") and the theory of Lorentzian Kac-Moody
algebras. We show that in this limit the gravitational theory can be
reformulated in terms of billiard motion in a region of hyperbolic space,
revealing that the dynamics is completely determined by a (possibly infinite)
sequence of reflections, which are elements of a Lorentzian Coxeter group. Such
Coxeter groups are the Weyl groups of infinite-dimensional Kac-Moody algebras,
suggesting that these algebras yield symmetries of gravitational theories. Our
presentation is aimed to be a self-contained and comprehensive treatment of the
subject, with all the relevant mathematical background material introduced and
explained in detail. We also review attempts at making the infinite-dimensional
symmetries manifest, through the construction of a geodesic sigma model based
on a Lorentzian Kac-Moody algebra. An explicit example is provided for the case
of the hyperbolic algebra E10, which is conjectured to be an underlying
symmetry of M-theory. Illustrations of this conjecture are also discussed in
the context of cosmological solutions to eleven-dimensional supergravity.
| [
{
"created": "Tue, 9 Oct 2007 16:20:40 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 2008 19:38:15 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Henneaux",
"Marc",
""
],
[
"Persson",
"Daniel",
""
],
[
"Spindel",
"Philippe",
""
]
] | We review the intimate connection between (super-)gravity close to a spacelike singularity (the "BKL-limit") and the theory of Lorentzian Kac-Moody algebras. We show that in this limit the gravitational theory can be reformulated in terms of billiard motion in a region of hyperbolic space, revealing that the dynamics is completely determined by a (possibly infinite) sequence of reflections, which are elements of a Lorentzian Coxeter group. Such Coxeter groups are the Weyl groups of infinite-dimensional Kac-Moody algebras, suggesting that these algebras yield symmetries of gravitational theories. Our presentation is aimed to be a self-contained and comprehensive treatment of the subject, with all the relevant mathematical background material introduced and explained in detail. We also review attempts at making the infinite-dimensional symmetries manifest, through the construction of a geodesic sigma model based on a Lorentzian Kac-Moody algebra. An explicit example is provided for the case of the hyperbolic algebra E10, which is conjectured to be an underlying symmetry of M-theory. Illustrations of this conjecture are also discussed in the context of cosmological solutions to eleven-dimensional supergravity. |
1608.08401 | Yogesh Srivastava | Soumyabrata Chatterjee, Sudipto Paul Chowdhury, Sudipta Mukherji,
Yogesh K. Srivastava | Non-vacuum AdS cosmology and comments on gauge theory correlator | 20 pages, 2 figures, Journal version | Phys. Rev. D 95, 046011 (2017) | 10.1103/PhysRevD.95.046011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several time dependent backgrounds, with perfect fluid matter, can be used to
construct solutions of Einstein equations in the presence of a negative
cosmological constant along with some matter sources. In this work we focus on
the non-vacuum Kasner-AdS geometry and its solitonic generalization. To
characterize these space-times, we provide ways to embed them in higher
dimensional flat space-times. General space-like geodesics are then studied and
used to compute the two point boundary correlators within the geodesic
approximation.
| [
{
"created": "Tue, 30 Aug 2016 11:02:33 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2017 16:38:57 GMT",
"version": "v2"
}
] | 2017-03-01 | [
[
"Chatterjee",
"Soumyabrata",
""
],
[
"Chowdhury",
"Sudipto Paul",
""
],
[
"Mukherji",
"Sudipta",
""
],
[
"Srivastava",
"Yogesh K.",
""
]
] | Several time dependent backgrounds, with perfect fluid matter, can be used to construct solutions of Einstein equations in the presence of a negative cosmological constant along with some matter sources. In this work we focus on the non-vacuum Kasner-AdS geometry and its solitonic generalization. To characterize these space-times, we provide ways to embed them in higher dimensional flat space-times. General space-like geodesics are then studied and used to compute the two point boundary correlators within the geodesic approximation. |
1502.04811 | Kazuo Ghoroku | Kazuo Ghoroku, Masafumi Ishihara, Motoi Tachibana, and Fumihiko Toyoda | Chiral Symmetry of SYM theory in hyperbolic space at finite temperature | 17 pages, 6 figures. arXiv admin note: text overlap with
arXiv:1407.3046 | Phys. Rev. D 92, 026011 (2015) | 10.1103/PhysRevD.92.026011 | FIT-HE-15-01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a holographic gauge theory living in the AdS$_4$ space-time at
finite temperature. The gravity dual is obtained as a solution of the type IIB
superstring theory with two free parameters, which correspond to four
dimensional (4D) cosmological constant ($\lambda$) and the dark radiation ($C$)
respectively. The theory studied here is in confining and chiral symmetry
broken phase for $\lambda <0$ and small $C$. When $C$ is increased, the
transition to the deconfinement phase has been observed at a finite value of
$C/|\lambda|$. It is shown here that the chiral symmetry is still broken for a
finite range of $C/|\lambda|$ in the deconfinement phase. In other words, the
chiral phase transition occurs at a larger value of $C/|\lambda|$ than the one
of the deconfinement transition. So there is a parameter range of a new
deconfinement phase with broken chiral symmetry. In order to study the
properties of this phase, we performed a holographic analysis for the meson
mass-spectrum and other quantities in terms of the probe D7 brane. The results
of this analysis are compared with a linear sigma model. Furthermore, the
entanglement entropy is examined to search for a sign of the chiral phase
trantion. Several comments are given for these analyses.
| [
{
"created": "Tue, 17 Feb 2015 06:46:12 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 2015 04:42:23 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jun 2015 04:16:59 GMT",
"version": "v3"
}
] | 2015-08-05 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Ishihara",
"Masafumi",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] | We study a holographic gauge theory living in the AdS$_4$ space-time at finite temperature. The gravity dual is obtained as a solution of the type IIB superstring theory with two free parameters, which correspond to four dimensional (4D) cosmological constant ($\lambda$) and the dark radiation ($C$) respectively. The theory studied here is in confining and chiral symmetry broken phase for $\lambda <0$ and small $C$. When $C$ is increased, the transition to the deconfinement phase has been observed at a finite value of $C/|\lambda|$. It is shown here that the chiral symmetry is still broken for a finite range of $C/|\lambda|$ in the deconfinement phase. In other words, the chiral phase transition occurs at a larger value of $C/|\lambda|$ than the one of the deconfinement transition. So there is a parameter range of a new deconfinement phase with broken chiral symmetry. In order to study the properties of this phase, we performed a holographic analysis for the meson mass-spectrum and other quantities in terms of the probe D7 brane. The results of this analysis are compared with a linear sigma model. Furthermore, the entanglement entropy is examined to search for a sign of the chiral phase trantion. Several comments are given for these analyses. |
hep-th/0002167 | Thomas Pisar | F. Gieres, J. Grimstrup, T. Pisar and M. Schweda | Vector supersymmetry in topological field theories | 19 pages | JHEP 0006 (2000) 018 | 10.1088/1126-6708/2000/06/018 | REF.TUW 99-18, LYCEN 2000-03 | hep-th | null | We present a simple derivation of vector supersymmetry transformations for
topological field theories of Schwarz- and Witten-type. Our method is similar
to the derivation of BRST-transformations from the so-called horizontality
conditions or Russian formulae. We show that this procedure reproduces in a
concise way the known vector supersymmetry transformations of various
topological models and we use it to obtain some new transformations of this
type for 4d topological YM-theories in different gauges.
| [
{
"created": "Mon, 21 Feb 2000 14:17:28 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gieres",
"F.",
""
],
[
"Grimstrup",
"J.",
""
],
[
"Pisar",
"T.",
""
],
[
"Schweda",
"M.",
""
]
] | We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz- and Witten-type. Our method is similar to the derivation of BRST-transformations from the so-called horizontality conditions or Russian formulae. We show that this procedure reproduces in a concise way the known vector supersymmetry transformations of various topological models and we use it to obtain some new transformations of this type for 4d topological YM-theories in different gauges. |
hep-th/9408080 | null | C. Daboul, J. Daboul and P. Slodowy | The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra | LATEX 4 pages. Based on a talk given by J. DABOUL at the at the XX
International Colloquium on ``Group Theoretical Methods in Physics", Osaka,
July 3-9, 1994} | null | null | null | hep-th | null | We show that the dynamical symmetry of the hydrogen atom leads in a natural
way to an infinite-dimensional algebra, which we identify as the positive
subalgebras of twisted Kac-Moody algebras of $ so(4)$. We also generalize our
results to the $N$-dimensional hydrogen atom. For odd $N$, we identify the
dynamical algebra with the positive part of the twisted algebras $\hat
{so}(N+1)^\tau$. However, for even $N$ this algebra corresponds to a parabolic
subalgebra of the untwisted loop algebra $\hat{so}(N+1)$.
| [
{
"created": "Sun, 14 Aug 1994 15:41:00 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Aug 1994 16:06:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Daboul",
"C.",
""
],
[
"Daboul",
"J.",
""
],
[
"Slodowy",
"P.",
""
]
] | We show that the dynamical symmetry of the hydrogen atom leads in a natural way to an infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of $ so(4)$. We also generalize our results to the $N$-dimensional hydrogen atom. For odd $N$, we identify the dynamical algebra with the positive part of the twisted algebras $\hat {so}(N+1)^\tau$. However, for even $N$ this algebra corresponds to a parabolic subalgebra of the untwisted loop algebra $\hat{so}(N+1)$. |
1501.02078 | Patrick Meessen | P. Meessen, T. Ort\'in | N=2 Super-EYM coloured black holes from defective Lax matrices | 20 pages, 1 figure; to be published version | null | 10.1007/JHEP04(2015)100 | FPAUO-14/09, IFT-UAM/CSIC-15-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct analytical supersymmetric coloured black hole solutions, i.e.
non-Abelian black hole solutions that have no asymptotic non-Abelian charge but
do have non-Abelian charges on the horizon that contribute to the
Bekenstein-Hawking entropy, to two SU(3)-gauged N=2 d= supergravities. The
analytical construction is made possible due to the fact that the main
ingredient is the Bogomol'nyi equation, which under the assumption of spherical
symmetry admits a Lax pair formulation. The Lax matrix needed for the coloured
black holes must be defective which, even though it is the non-generic and less
studied case, is a minor hindrance.
| [
{
"created": "Fri, 9 Jan 2015 09:30:50 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2015 11:50:22 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Meessen",
"P.",
""
],
[
"Ortín",
"T.",
""
]
] | We construct analytical supersymmetric coloured black hole solutions, i.e. non-Abelian black hole solutions that have no asymptotic non-Abelian charge but do have non-Abelian charges on the horizon that contribute to the Bekenstein-Hawking entropy, to two SU(3)-gauged N=2 d= supergravities. The analytical construction is made possible due to the fact that the main ingredient is the Bogomol'nyi equation, which under the assumption of spherical symmetry admits a Lax pair formulation. The Lax matrix needed for the coloured black holes must be defective which, even though it is the non-generic and less studied case, is a minor hindrance. |
1005.2172 | Klaus Kirsten | P. Morales and K. Kirsten | Semitransparent pistons | To appear in the proceedings of 9th Conference on Quantum Field
Theory under the Influence of External Conditions (QFEXT 09): Devoted to the
Centenary of H. B. G. Casimir, Norman, Oklahoma, 21-25 Sep 2009 | Int.J.Mod.Phys.A25:2196-2200,2010 | 10.1142/S0217751X10049463 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider semitransparent pistons in the presence of extra dimensions. It
is shown that the piston is always attracted to the closest wall irrespective
of details of the geometry and topology of the extra dimensions and of the
cross section of the piston. Furthermore, we evaluate the zeta regularized
determinant for this configuration.
| [
{
"created": "Wed, 12 May 2010 18:41:41 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Morales",
"P.",
""
],
[
"Kirsten",
"K.",
""
]
] | We consider semitransparent pistons in the presence of extra dimensions. It is shown that the piston is always attracted to the closest wall irrespective of details of the geometry and topology of the extra dimensions and of the cross section of the piston. Furthermore, we evaluate the zeta regularized determinant for this configuration. |
1408.2742 | Fabricio Augusto Barone Rangel | G.T. Camilo, F.E. Barone and F.A. Barone | Interactions between delta-like sources and potentials | 8 pages, 1 figure | Phys. Rev. D87, 025011 (2013) | 10.1103/PhysRevD.87.025011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The modified scalar boson propagator due to the presence of a hyperplane
semi-transparent mirror is computed. From this, the classical interaction
between static charges and the mirror is investigated employing delta-like
potentials and sources. Although the calculations for hyperplane mirrors are
performed in arbitrary dimensions, and in a completely general way, it is shown
that the results give rise to the usual image method as a particular case. The
interaction between a point-like mirror and a point-like source is also
considered in $3+1$ dimensions, where a central $1/R^{2}$ attractive potential
is also obtained as a special case.
| [
{
"created": "Tue, 12 Aug 2014 15:19:27 GMT",
"version": "v1"
}
] | 2014-08-13 | [
[
"Camilo",
"G. T.",
""
],
[
"Barone",
"F. E.",
""
],
[
"Barone",
"F. A.",
""
]
] | The modified scalar boson propagator due to the presence of a hyperplane semi-transparent mirror is computed. From this, the classical interaction between static charges and the mirror is investigated employing delta-like potentials and sources. Although the calculations for hyperplane mirrors are performed in arbitrary dimensions, and in a completely general way, it is shown that the results give rise to the usual image method as a particular case. The interaction between a point-like mirror and a point-like source is also considered in $3+1$ dimensions, where a central $1/R^{2}$ attractive potential is also obtained as a special case. |
2306.12472 | Xingyang Yu | Xingyang Yu | Dualities and Symmetries of Quantum Field Theories from Brane
Engineering | Ph.D. Dissertation | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This dissertation presents a study of dualities and generalized global
symmetries in quantum field theories (QFTs) from the string theory perspective.
Chapter 2 is based on the work arXiv:2110.03696 with Sebasti\'{a}n Franco,
Alessandro Minino and \'{A}ngel M. Uranga . It introduces a new class of string
theory backgrounds, Spin(7) orientifolds, allowing for the engineering of 2$d$
$\mathcal{N}=(0,1)$ gauge theories on D1-branes and illustrating the
perspective on 2$d$ $\mathcal{N}=(0,1)$ theories as real slices of 2$d$
$\mathcal{N}=(0,2)$ ones. Chapter 3 is based on the work arXiv:2112.03929 with
Sebasti\'{a}n Franco, Alessandro Minino and \'{A}ngel M. Uranga. It presents a
new, geometric perspective on the triality of 2$d$ $\mathcal{N}=(0,1)$ gauge
theories, based on their brane engineering introduced in Chapter 2. It also
shows that general Spin(7) orientifolds extend triality to theories consisting
of coupled 2$d$ $\mathcal{N}=(0,2)$ and $\mathcal{N}=(0,1)$ sectors, leading to
extensions of triality that interpolate between pure 2$d$ $\mathcal{N}=(0,2)$
and $\mathcal{N}=(0,1)$ cases. Chapter 4 is based on the work arXiv:2212.09743
with Jonathan J. Heckman, Max Hubner, Ethan Torres and Hao Y. Zhang. It
presents a top-down construction of non-invertible duality symmetries in 4$d$
QFTs. The realization of QFTs is through D3-branes probing a Calabi-Yau
threefold with an isolated singularity. The non-invertible duality defect then
arises from configurations of 7-branes "at infinity". The study shows that
different field-theoretic realizations of duality defects simply amount to
distinct choices of where to place 7-brane branch cuts in the 5D bulk.
| [
{
"created": "Wed, 21 Jun 2023 18:00:01 GMT",
"version": "v1"
}
] | 2023-06-23 | [
[
"Yu",
"Xingyang",
""
]
] | This dissertation presents a study of dualities and generalized global symmetries in quantum field theories (QFTs) from the string theory perspective. Chapter 2 is based on the work arXiv:2110.03696 with Sebasti\'{a}n Franco, Alessandro Minino and \'{A}ngel M. Uranga . It introduces a new class of string theory backgrounds, Spin(7) orientifolds, allowing for the engineering of 2$d$ $\mathcal{N}=(0,1)$ gauge theories on D1-branes and illustrating the perspective on 2$d$ $\mathcal{N}=(0,1)$ theories as real slices of 2$d$ $\mathcal{N}=(0,2)$ ones. Chapter 3 is based on the work arXiv:2112.03929 with Sebasti\'{a}n Franco, Alessandro Minino and \'{A}ngel M. Uranga. It presents a new, geometric perspective on the triality of 2$d$ $\mathcal{N}=(0,1)$ gauge theories, based on their brane engineering introduced in Chapter 2. It also shows that general Spin(7) orientifolds extend triality to theories consisting of coupled 2$d$ $\mathcal{N}=(0,2)$ and $\mathcal{N}=(0,1)$ sectors, leading to extensions of triality that interpolate between pure 2$d$ $\mathcal{N}=(0,2)$ and $\mathcal{N}=(0,1)$ cases. Chapter 4 is based on the work arXiv:2212.09743 with Jonathan J. Heckman, Max Hubner, Ethan Torres and Hao Y. Zhang. It presents a top-down construction of non-invertible duality symmetries in 4$d$ QFTs. The realization of QFTs is through D3-branes probing a Calabi-Yau threefold with an isolated singularity. The non-invertible duality defect then arises from configurations of 7-branes "at infinity". The study shows that different field-theoretic realizations of duality defects simply amount to distinct choices of where to place 7-brane branch cuts in the 5D bulk. |
1103.3358 | Johanna Knapp | Johanna Knapp, Maximilian Kreuzer | Toric Methods in F-theory Model Building | 19 pages. Prepared for the special issue "Computational Algebraic
Geometry in String and Gauge Theory" of Advances in High Energy Physics, v2:
references added, typos corrected | Adv.High Energy Phys.2011:513436 | 10.1155/2011/513436 | IPMU11-0044, TUW-11-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this review article we discuss recent constructions of global F-theory GUT
models and explain how to make use of toric geometry to do calculations within
this framework. After introducing the basic properties of global F-theory GUTs
we give a self-contained review of toric geometry and introduce all the tools
that are necessary to construct and analyze global F-theory models. We will
explain how to systematically obtain a large class of compact Calabi-Yau
fourfolds which can support F-theory GUTs by using the software package PALP.
| [
{
"created": "Thu, 17 Mar 2011 09:03:52 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2011 00:41:42 GMT",
"version": "v2"
}
] | 2011-09-08 | [
[
"Knapp",
"Johanna",
""
],
[
"Kreuzer",
"Maximilian",
""
]
] | In this review article we discuss recent constructions of global F-theory GUT models and explain how to make use of toric geometry to do calculations within this framework. After introducing the basic properties of global F-theory GUTs we give a self-contained review of toric geometry and introduce all the tools that are necessary to construct and analyze global F-theory models. We will explain how to systematically obtain a large class of compact Calabi-Yau fourfolds which can support F-theory GUTs by using the software package PALP. |
2112.09284 | Takumi Hayashi | Takumi Hayashi, Kohei Kamada, Naritaka Oshita, Jun'ichi Yokoyama | Vacuum decay in the Lorentzian path integral | 26 pages, 5 figures; v3: references added, typos corrected | null | 10.1088/1475-7516/2022/05/041 | RESCEU-24/21, RIKEN-iTHEMS-Report-21 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the Lorentzian path integral to the decay of a false vacuum and
estimate the false-vacuum decay rate. To make the Lorentzian path integral
convergent, the deformation of an integral contour is performed by following
the Picard-Lefschetz theory. We show that the nucleation rate of a critical
bubble, for which the corresponding bounce action is extremized, has the same
exponent as the Euclidean approach. We also extend our computation to the
nucleation of a bubble larger or smaller than the critical one to which the
Euclidean formalism is not applicable.
| [
{
"created": "Fri, 17 Dec 2021 02:06:18 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jan 2022 10:54:43 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jan 2022 05:47:50 GMT",
"version": "v3"
}
] | 2022-06-01 | [
[
"Hayashi",
"Takumi",
""
],
[
"Kamada",
"Kohei",
""
],
[
"Oshita",
"Naritaka",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | We apply the Lorentzian path integral to the decay of a false vacuum and estimate the false-vacuum decay rate. To make the Lorentzian path integral convergent, the deformation of an integral contour is performed by following the Picard-Lefschetz theory. We show that the nucleation rate of a critical bubble, for which the corresponding bounce action is extremized, has the same exponent as the Euclidean approach. We also extend our computation to the nucleation of a bubble larger or smaller than the critical one to which the Euclidean formalism is not applicable. |
hep-th/0503113 | Makoto Sakaguchi | Kazuhito Fujiwara, Hiroshi Itoyama and Makoto Sakaguchi | Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N)
Gauge Model | 23 pages, 3 figures; references added and typos corrected | Nucl.Phys. B723 (2005) 33-52 | 10.1016/j.nuclphysb.2005.06.023 | null | hep-th hep-ph | null | We explore vacua of the U(N) gauge model with N=2 supersymmetry recently
constructed in hep-th/0409060. In addition to the vacuum previously found with
unbroken U(N) gauge symmetry in which N=2 supersymmetry is partially broken to
N=1, we find cases in which the gauge symmetry is broken to a product gauge
group \prod_{i=1}^n U(N_i). The N=1 vacua are selected by the requirement of a
positive definite Kahler metric. We obtain the masses of the supermultiplets
appearing on the N=1 vacua.
| [
{
"created": "Mon, 14 Mar 2005 11:27:44 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2005 07:04:02 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Fujiwara",
"Kazuhito",
""
],
[
"Itoyama",
"Hiroshi",
""
],
[
"Sakaguchi",
"Makoto",
""
]
] | We explore vacua of the U(N) gauge model with N=2 supersymmetry recently constructed in hep-th/0409060. In addition to the vacuum previously found with unbroken U(N) gauge symmetry in which N=2 supersymmetry is partially broken to N=1, we find cases in which the gauge symmetry is broken to a product gauge group \prod_{i=1}^n U(N_i). The N=1 vacua are selected by the requirement of a positive definite Kahler metric. We obtain the masses of the supermultiplets appearing on the N=1 vacua. |
1005.1650 | Vasilis Niarchos | Vasilis Niarchos | Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds | 47 pages, 8 figures, 3 appendices; v2 comments added on the
modification of the tachyon potential in Sec. 4 to match the published NPB
version. v2 also contains a new appendix (the appendix C that does not appear
in the NPB version) with further supporting numerical evidence on the
validity of our picture at generic k | Nucl.Phys.B841:268-302,2010 | 10.1016/j.nuclphysb.2010.08.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | D-branes with a U-shaped geometry, like the D8 flavor branes in the
Sakai-Sugimoto model of QCD, are encountered frequently in holographic
backgrounds. We argue that the commonly used DBI action is inadequate as an
effective field theory description of these branes, because it misses a crucial
component of the low-energy dynamics: a light complex scalar mode. Following an
idea of Erkal, Kutasov and Lunin we elaborate on an effective description based
on the abelian tachyon-DBI action which incorporates naturally the non-local
physics of the complex scalar mode. We demonstrate its power in a context where
an explicit worldsheet description of the open string dynamics exists
--hairpin-branes in the background of NS5-branes. Our results are relevant for
the holographic description of chiral symmetry breaking and bare quark mass in
QCD and open string tachyon condensation in curved backgrounds.
| [
{
"created": "Mon, 10 May 2010 20:00:47 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2010 09:02:42 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Niarchos",
"Vasilis",
""
]
] | D-branes with a U-shaped geometry, like the D8 flavor branes in the Sakai-Sugimoto model of QCD, are encountered frequently in holographic backgrounds. We argue that the commonly used DBI action is inadequate as an effective field theory description of these branes, because it misses a crucial component of the low-energy dynamics: a light complex scalar mode. Following an idea of Erkal, Kutasov and Lunin we elaborate on an effective description based on the abelian tachyon-DBI action which incorporates naturally the non-local physics of the complex scalar mode. We demonstrate its power in a context where an explicit worldsheet description of the open string dynamics exists --hairpin-branes in the background of NS5-branes. Our results are relevant for the holographic description of chiral symmetry breaking and bare quark mass in QCD and open string tachyon condensation in curved backgrounds. |
hep-th/0003225 | Mohamed Chabab | M. Chabab (Marrakesh & Rabat Univ.), R. Markazi and E.H. Saidi (Rabat
Univ.) | On the confining potential in 4d $SU(N_c)$ gauge theory with dilaton | 15 pages, latex, no figures, accepted for publication in Eur. Phys.
Jour. C | Eur.Phys.J.C13:543-549,2000 | 10.1007/s100520050716 | UFR-HEP/04-99, LPHEA/99-02 | hep-th | null | Using the formal analogy between the Dick superstring inspired model of
ref.[6] and the problem of building of Eguchi Hanson metric in 4d N=2 harmonic
superspace (hs), we derive a general formula for the quark-quark interaction
potential V(r) including the Dick confining potential. The interquark potential
V(r) depends on the dilaton-gluon coupling and may be related to the
parameterization of confinement by the quark and gluon vacuum condensates. It
is also shown how the axion field may be incorporated in agreement with 10d
type IIB superstring requirements. Others features are also discussed.
| [
{
"created": "Fri, 24 Mar 2000 19:50:15 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Chabab",
"M.",
"",
"Marrakesh & Rabat Univ."
],
[
"Markazi",
"R.",
"",
"Rabat\n Univ."
],
[
"Saidi",
"E. H.",
"",
"Rabat\n Univ."
]
] | Using the formal analogy between the Dick superstring inspired model of ref.[6] and the problem of building of Eguchi Hanson metric in 4d N=2 harmonic superspace (hs), we derive a general formula for the quark-quark interaction potential V(r) including the Dick confining potential. The interquark potential V(r) depends on the dilaton-gluon coupling and may be related to the parameterization of confinement by the quark and gluon vacuum condensates. It is also shown how the axion field may be incorporated in agreement with 10d type IIB superstring requirements. Others features are also discussed. |
hep-th/0110135 | Frans Klinkhamer | F.R. Klinkhamer | CPT violation: mechanism and phenomenology | Invited talk at the 7-th International Wigner Symposium, College Park
MD, August 2001. v5: L/R identification above Eq. (28) corrected | null | null | KA-TP-28-2001 | hep-th astro-ph hep-ph | null | A new mechanism for T and CPT violation is reviewed, which relies on chiral
fermions, gauge interactions and nontrivial spacetime topology. Also discussed
are the possible effects on the propagation of electromagnetic waves in vacuo,
in particular for the cosmic microwave background radiation.
| [
{
"created": "Mon, 15 Oct 2001 18:38:36 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2001 19:37:27 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Nov 2001 16:19:17 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Dec 2001 19:42:00 GMT",
"version": "v4"
},
{
"created": "Mon, 22 Jul 2002 13:48:14 GMT",
"version": "v5"
}
] | 2007-05-23 | [
[
"Klinkhamer",
"F. R.",
""
]
] | A new mechanism for T and CPT violation is reviewed, which relies on chiral fermions, gauge interactions and nontrivial spacetime topology. Also discussed are the possible effects on the propagation of electromagnetic waves in vacuo, in particular for the cosmic microwave background radiation. |
1607.03176 | Maximilian Poretschkin | Mirjam Cvetic, Antonella Grassi, Maximilian Poretschkin | Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry | 25 pages, 4 figures | null | 10.1007/JHEP06(2017)156 | UPR-1279-T | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study aspects of Heterotic/F-theory duality for compactifications with
Abelian discrete gauge symmetries. We consider F-theory compactifications on
genus-one fibered Calabi-Yau manifolds with n-sections, associated with the
Tate-Shafarevich group Z_n. Such models are obtained by studying first a
specific toric set-up whose associated Heterotic vector bundle has structure
group Z_n. By employing a conjectured Heterotic/F-theory mirror symmetry we
construct dual geometries of these original toric models, where in the stable
degeneration limit we obtain a discrete gauge symmetry of order two and three,
for compactifications to six dimensions. We provide explicit constructions of
mirror-pairs for symmetric examples with Z_2 and Z_3, in six dimensions. The
Heterotic models with symmetric discrete symmetries are related in field theory
to a Higgsing of Heterotic models with two symmetric abelian U(1) gauge
factors, where due to the Stuckelberg mechanism only a diagonal U(1) factor
remains massless, and thus after Higgsing only a diagonal discrete symmetry of
order n is present in the Heterotic models and detected via Heterotic/F-theory
duality. These constructions also provide further evidence for the conjectured
mirror symmetry in Heterotic/F-theory at the level of fibrations with torsional
sections and those with multi-sections.
| [
{
"created": "Mon, 11 Jul 2016 21:48:47 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Grassi",
"Antonella",
""
],
[
"Poretschkin",
"Maximilian",
""
]
] | We study aspects of Heterotic/F-theory duality for compactifications with Abelian discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with n-sections, associated with the Tate-Shafarevich group Z_n. Such models are obtained by studying first a specific toric set-up whose associated Heterotic vector bundle has structure group Z_n. By employing a conjectured Heterotic/F-theory mirror symmetry we construct dual geometries of these original toric models, where in the stable degeneration limit we obtain a discrete gauge symmetry of order two and three, for compactifications to six dimensions. We provide explicit constructions of mirror-pairs for symmetric examples with Z_2 and Z_3, in six dimensions. The Heterotic models with symmetric discrete symmetries are related in field theory to a Higgsing of Heterotic models with two symmetric abelian U(1) gauge factors, where due to the Stuckelberg mechanism only a diagonal U(1) factor remains massless, and thus after Higgsing only a diagonal discrete symmetry of order n is present in the Heterotic models and detected via Heterotic/F-theory duality. These constructions also provide further evidence for the conjectured mirror symmetry in Heterotic/F-theory at the level of fibrations with torsional sections and those with multi-sections. |
1708.05129 | Ryo Yokokura | Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Yusuke Yamada, Ryo
Yokokura | Ghost-free vector superfield actions in supersymmetric higher-derivative
theories | 17 pages; v3: references added, published version | JHEP 1709 (2017) 143 | 10.1007/JHEP09(2017)143 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically construct ghost-free higher-derivative actions of Abelian
vector supermultiplets in four-dimensional ${\cal N}=1$ global supersymmetric
theories. After giving a simple example which illustrates that a naive
introduction of a higher-derivative term gives rise to a ghost, we discuss
possible building blocks for a ghost-free action and explicitly show that their
bosonic parts have no ghost mode and the auxiliary field $\boldsymbol{D}$ does
not propagate. Higher-derivative terms yield higher powers of the auxiliary
field $\boldsymbol{D}$ in the actions, and the D-term equations of motion
consequently admit multiple solutions in general. We confirm that the
well-known supersymmetric Dirac-Born-Infeld action falls into this class. We
further give another example in which the standard quadratic kinetic term
(Maxwell term) is corrected by a quartic term of the field strength. We also
discuss possible couplings to matter fields and a deformed D-term potential.
| [
{
"created": "Thu, 17 Aug 2017 04:26:24 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2017 06:48:12 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Oct 2017 09:39:54 GMT",
"version": "v3"
}
] | 2017-10-03 | [
[
"Fujimori",
"Toshiaki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Yamada",
"Yusuke",
""
],
[
"Yokokura",
"Ryo",
""
]
] | We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional ${\cal N}=1$ global supersymmetric theories. After giving a simple example which illustrates that a naive introduction of a higher-derivative term gives rise to a ghost, we discuss possible building blocks for a ghost-free action and explicitly show that their bosonic parts have no ghost mode and the auxiliary field $\boldsymbol{D}$ does not propagate. Higher-derivative terms yield higher powers of the auxiliary field $\boldsymbol{D}$ in the actions, and the D-term equations of motion consequently admit multiple solutions in general. We confirm that the well-known supersymmetric Dirac-Born-Infeld action falls into this class. We further give another example in which the standard quadratic kinetic term (Maxwell term) is corrected by a quartic term of the field strength. We also discuss possible couplings to matter fields and a deformed D-term potential. |
hep-th/0309071 | DaeKil Park | D. K. Park, S. Tamaryan, Yan-Gang Miao | Newton Law in DGP Brane-World with Semi-Infinite Extra Dimension | 13 pages, no figure | Phys.Lett. B578 (2004) 443-448 | 10.1016/j.physletb.2003.10.058 | null | hep-th | null | Newton potential for DGP brane-world scenario is examined when the extra
dimension is semi-infinite. The final form of the potential involves a
self-adjoint extension parameter $\alpha$, which plays a role of an additional
mass (or distance) scale. The striking feature of Newton potential in this
setup is that the potential behaves as seven-dimensional in long range when
$\alpha$ is nonzero. For small $\alpha$ there is an intermediate range where
the potential is five-dimensional. Five-dimensional Newton constant decreases
with increase of $\alpha$ from zero. In the short range the four-dimensional
behavior is recovered. The physical implication of this result is discussed in
the context of the accelerating behavior of universe.
| [
{
"created": "Sun, 7 Sep 2003 04:45:16 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Park",
"D. K.",
""
],
[
"Tamaryan",
"S.",
""
],
[
"Miao",
"Yan-Gang",
""
]
] | Newton potential for DGP brane-world scenario is examined when the extra dimension is semi-infinite. The final form of the potential involves a self-adjoint extension parameter $\alpha$, which plays a role of an additional mass (or distance) scale. The striking feature of Newton potential in this setup is that the potential behaves as seven-dimensional in long range when $\alpha$ is nonzero. For small $\alpha$ there is an intermediate range where the potential is five-dimensional. Five-dimensional Newton constant decreases with increase of $\alpha$ from zero. In the short range the four-dimensional behavior is recovered. The physical implication of this result is discussed in the context of the accelerating behavior of universe. |
hep-th/0405205 | Nobuyoshi Ohta | Kei-ichi Maeda and Nobuyoshi Ohta | Inflation from M-Theory with Fourth-order Corrections and Large Extra
Dimensions | 12 pages, 2 figures, v2: figures corrected, v3: refs. added, version
to appear in PLB, ps file is available from
http://www-het.phys.sci.osaka-u.ac.jp/ohta/r4_inf.ps.gz | Phys.Lett. B597 (2004) 400-407 | 10.1016/j.physletb.2004.07.038 | WU-AP/185/04, OU-HET 473 | hep-th astro-ph gr-qc hep-ph | null | We study inflationary solutions in the M-theory. Including the fourth-order
curvature correction terms, we find three generalized de Sitter solutions, in
which our 3-space expands exponentially. Taking one of the solutions, we
propose an inflationary scenario of the early universe. This provides us a
natural explanation for large extra dimensions in a brane world, and suggests
some connection between the 60 e-folding expansion of inflation and TeV gravity
based on the large extra dimensions.
| [
{
"created": "Mon, 24 May 2004 12:11:51 GMT",
"version": "v1"
},
{
"created": "Thu, 27 May 2004 01:23:52 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jul 2004 03:51:51 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Maeda",
"Kei-ichi",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We study inflationary solutions in the M-theory. Including the fourth-order curvature correction terms, we find three generalized de Sitter solutions, in which our 3-space expands exponentially. Taking one of the solutions, we propose an inflationary scenario of the early universe. This provides us a natural explanation for large extra dimensions in a brane world, and suggests some connection between the 60 e-folding expansion of inflation and TeV gravity based on the large extra dimensions. |
2401.16283 | Richard Szabo | Richard J. Szabo | Gravity versus Noncommutative Gauge Theory: A Double Copy Perspective | 12 pages; Contribution to the proceedings volume for "Gravity,
Strings and Fields: A conference in honour of Gordon Semenoff" | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We discuss how Moyal deformations of gauge theories, which arise naturally
from open string theory, fit into the paradigm of colour-kinematics duality and
the double copy of gauge theory to gravity. Along the way we encounter novel
noncommutative scalar field theories with rigid colour symmetry that have no
interacting commutative counterparts. These scalar theories offer new
perspectives on old ideas that rank one noncommutative gauge theories are
gravitational theories. This is rendered explicit in four dimensions where they
and their double copy images yield deformations of integrable theories
describing the self-dual sectors of Yang-Mills theory and gravity.
| [
{
"created": "Mon, 29 Jan 2024 16:39:43 GMT",
"version": "v1"
}
] | 2024-01-30 | [
[
"Szabo",
"Richard J.",
""
]
] | We discuss how Moyal deformations of gauge theories, which arise naturally from open string theory, fit into the paradigm of colour-kinematics duality and the double copy of gauge theory to gravity. Along the way we encounter novel noncommutative scalar field theories with rigid colour symmetry that have no interacting commutative counterparts. These scalar theories offer new perspectives on old ideas that rank one noncommutative gauge theories are gravitational theories. This is rendered explicit in four dimensions where they and their double copy images yield deformations of integrable theories describing the self-dual sectors of Yang-Mills theory and gravity. |
hep-th/9710024 | Gustavo Dotti | Gustavo Dotti and Aneesh Manohar | Anomaly Matching Conditions and the Moduli Space of Supersymmetric Gauge
Theories | 28 pages revtex, amssymb | Nucl.Phys. B518 (1998) 575-602 | 10.1016/S0550-3213(97)00834-1 | UCSD/PTH 97-14 | hep-th | null | The structure of the moduli space of N=1 supersymmetric gauge theories is
analyzed from an algebraic geometric viewpoint. The connection between the
fundamental fields of the ultraviolet theory, and the gauge invariant composite
fields of the infrared theory is explained in detail. The results are then used
to prove an anomaly matching theorem. The theorem is used to study anomaly
matching for supersymmetric QCD, and can explain all the known anomaly matching
results for this case.
| [
{
"created": "Thu, 2 Oct 1997 20:19:13 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Dotti",
"Gustavo",
""
],
[
"Manohar",
"Aneesh",
""
]
] | The structure of the moduli space of N=1 supersymmetric gauge theories is analyzed from an algebraic geometric viewpoint. The connection between the fundamental fields of the ultraviolet theory, and the gauge invariant composite fields of the infrared theory is explained in detail. The results are then used to prove an anomaly matching theorem. The theorem is used to study anomaly matching for supersymmetric QCD, and can explain all the known anomaly matching results for this case. |
0905.3284 | Oded Mintakevich | Oded Mintakevich, Jacob Sonnenschein | Holographic technicolor models and their S-parameter | 37 pages, 2 figures V2: 2 coerrections in sectionss 4 and 5,
reference added | JHEP 0907:032,2009 | 10.1088/1126-6708/2009/07/032 | 290109 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Peskin-Takeuchi S-parameter of holographic technicolor models.
We present the recipe for computing the parameter in a generalized holographic
setup. We then apply it to several holographic models that include: (a) the
Sakai-Sugimoto model and (b) its non-compactified cousin, (c) a non-critical
analog of (a) based on near extremal AdS_6 background, (d) the KMMW model which
is similar to model (a) but with D6 and anti-D6 flavor branes replacing the D8
and anti-D8 branes, (e) a model based on D5 branes compactified on two S^1s
with D7 and anti-7 probe branes and (f) the conifold model with the same probe
branes as in (e). The models are gravity duals of gauge theories with U(N_{TC})
gauge theory and with a breakdown of a flavor symmetry U(N_{TF})xU(N_{TF}) to
U_V(N_{TF}). The models (a), (c),(d) and (e) are duals of a confining gauge
theories whereas (b) and (f) associate with non confining models.
The S-parameter was found to be S=sN_{TC} where s is given by
0.017\lambda_{TC}, 0.016\lambda_{TC}, 0.095, 0.50 and 0.043 for the
(a),(b),(c),(d), (f) models respectively and for model (e) s is divergent.
These results are valid in the large N_{TC} and large \lambda_{TC} limit. We
further derive the dependence of the S-parameter on the "string endpoint" mass
of the techniquarks for the various models. We compute the masses of the low
lying vector technimesons.
| [
{
"created": "Wed, 20 May 2009 13:00:34 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2009 10:37:24 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2009 15:17:30 GMT",
"version": "v3"
}
] | 2009-07-22 | [
[
"Mintakevich",
"Oded",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | We study the Peskin-Takeuchi S-parameter of holographic technicolor models. We present the recipe for computing the parameter in a generalized holographic setup. We then apply it to several holographic models that include: (a) the Sakai-Sugimoto model and (b) its non-compactified cousin, (c) a non-critical analog of (a) based on near extremal AdS_6 background, (d) the KMMW model which is similar to model (a) but with D6 and anti-D6 flavor branes replacing the D8 and anti-D8 branes, (e) a model based on D5 branes compactified on two S^1s with D7 and anti-7 probe branes and (f) the conifold model with the same probe branes as in (e). The models are gravity duals of gauge theories with U(N_{TC}) gauge theory and with a breakdown of a flavor symmetry U(N_{TF})xU(N_{TF}) to U_V(N_{TF}). The models (a), (c),(d) and (e) are duals of a confining gauge theories whereas (b) and (f) associate with non confining models. The S-parameter was found to be S=sN_{TC} where s is given by 0.017\lambda_{TC}, 0.016\lambda_{TC}, 0.095, 0.50 and 0.043 for the (a),(b),(c),(d), (f) models respectively and for model (e) s is divergent. These results are valid in the large N_{TC} and large \lambda_{TC} limit. We further derive the dependence of the S-parameter on the "string endpoint" mass of the techniquarks for the various models. We compute the masses of the low lying vector technimesons. |
2112.13631 | Valeriy Tolstoy | V.N. Tolstoy | All basic quantizations of $D=3$, $N=1$ Lorentz supersymmetry | 29 pages. arXiv admin note: text overlap with arXiv:1612.03866;
references added, minor typos fixed, Section 7 replaced | null | null | null | hep-th math-ph math.MP math.QA | http://creativecommons.org/licenses/by/4.0/ | By the supersymmetrization of a simple algebraic technique proposed in
\cite{LuTo2017} we obtain the complete classification of all basic
(nonisomorphic) quantum deformations for the orthosymplectic Lie superalgebra
$\mathfrak{osp}(1|2;\mathbb{C})$ and its pseudoreal and real forms in terms of
the classical $r$-matrices. In particular, we prove that pseudoreal compact
form has only one quantum deformation (standart $q$-analog), and the $D=3$,
$N=1$ Lorentz supersymmetry, which is the non-compact real form of
$\mathfrak{osp}(1|2;\mathbb{C})$, has four different Hopf-algebraic quantum
deformations: two standard $q$-analogs, and two (Jordanian and super-Jordanian)
twist deformations. All basic Hopf-algebraic quantum deformations are presented
in the explicit form.
| [
{
"created": "Mon, 27 Dec 2021 12:31:13 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2022 13:51:49 GMT",
"version": "v2"
}
] | 2022-12-01 | [
[
"Tolstoy",
"V. N.",
""
]
] | By the supersymmetrization of a simple algebraic technique proposed in \cite{LuTo2017} we obtain the complete classification of all basic (nonisomorphic) quantum deformations for the orthosymplectic Lie superalgebra $\mathfrak{osp}(1|2;\mathbb{C})$ and its pseudoreal and real forms in terms of the classical $r$-matrices. In particular, we prove that pseudoreal compact form has only one quantum deformation (standart $q$-analog), and the $D=3$, $N=1$ Lorentz supersymmetry, which is the non-compact real form of $\mathfrak{osp}(1|2;\mathbb{C})$, has four different Hopf-algebraic quantum deformations: two standard $q$-analogs, and two (Jordanian and super-Jordanian) twist deformations. All basic Hopf-algebraic quantum deformations are presented in the explicit form. |
1602.02421 | Leonardo Modesto | Leonardo Modesto | Super-renormalizable or Finite Lee-Wick Quantum Gravity | LaTeX, 12 pages | null | 10.1016/j.nuclphysb.2016.06.004 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a class of multidimensional higher derivative theories of gravity
without extra real degrees of freedom besides the graviton field. The
propagator shows up the usual real graviton pole and extra complex conjugates
poles that do not contribute to the absorptive part of the physical scattering
amplitudes. Indeed, they may consistently be excluded from the asymptotic
observable states of the theory making use of the Lee-Wick and Cutkoski,
Landshoff, Olive and Polkinghorne prescription for the construction of a
unitary S-matrix. Therefore, the spectrum consists on the graviton and short
lived elementary unstable particles that we named "anti-gravitons" because of
their repulsive contribution to the gravitational potential at short distance.
However, another interpretation of the complex conjugate pairs is proposed
based on the Calmet's suggestion, i.e. they could be understood as black hole
precursors long established in the classical theory. Since the theory is CPT
invariant, the complex conjugate of the micro black hole precursor has received
as a white hole precursor consistently with the t'Hooft complementary
principle. It is proved that the quantum theory is super-renormalizable in even
dimension, i.e. only a finite number of divergent diagrams survive, and finite
in odd dimension. Furthermore, turning on a local potential of the Riemann
tensor we can make the theory finite in any dimension. The singularity-free
Newtonian gravitational potential is explicitly computed for a range of higher
derivative theories. Finally, we propose a new super-reneromalizable or finite
Lee-Wick standard model of particle physics.
| [
{
"created": "Sun, 7 Feb 2016 20:36:57 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Modesto",
"Leonardo",
""
]
] | We propose a class of multidimensional higher derivative theories of gravity without extra real degrees of freedom besides the graviton field. The propagator shows up the usual real graviton pole and extra complex conjugates poles that do not contribute to the absorptive part of the physical scattering amplitudes. Indeed, they may consistently be excluded from the asymptotic observable states of the theory making use of the Lee-Wick and Cutkoski, Landshoff, Olive and Polkinghorne prescription for the construction of a unitary S-matrix. Therefore, the spectrum consists on the graviton and short lived elementary unstable particles that we named "anti-gravitons" because of their repulsive contribution to the gravitational potential at short distance. However, another interpretation of the complex conjugate pairs is proposed based on the Calmet's suggestion, i.e. they could be understood as black hole precursors long established in the classical theory. Since the theory is CPT invariant, the complex conjugate of the micro black hole precursor has received as a white hole precursor consistently with the t'Hooft complementary principle. It is proved that the quantum theory is super-renormalizable in even dimension, i.e. only a finite number of divergent diagrams survive, and finite in odd dimension. Furthermore, turning on a local potential of the Riemann tensor we can make the theory finite in any dimension. The singularity-free Newtonian gravitational potential is explicitly computed for a range of higher derivative theories. Finally, we propose a new super-reneromalizable or finite Lee-Wick standard model of particle physics. |
2407.21031 | Luis Anchordoqui | Luis A. Anchordoqui, Ignatios Antoniadis, Dieter Lust, and Karem
Pe\~nal\'o Castillo | Bulk Black Hole Dark Matter | 24 pages revtex, 2 figures | null | null | MPP-2024-139, LMU-ASC 09/24 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dark dimension provides a mechanism to resolve the cosmological hierarchy
problem and assembles a colosseum for dark matter contenders. In a series of
recent publications we investigated whether primordial black holes (PBHs)
perceiving the dark dimension could constitute all of the dark matter in the
universe. A key assumption of these investigations is that PBHs remain confined
to the brane during the entire evaporation process. As a consequence, the
abundance of PBHs evaporating at the present epoch is severely constrained by
observations of both the extragalactic and Galactic $\gamma$-ray backgrounds.
As a natural outgrowth of these investigations, herein we relax the assumption
of brane localized PBHs and reexamine the evaporation process of PBHs which are
allowed to escape into the dark dimension. We show that the escape of PBHs from
the brane is almost instantaneous. Armed with this pivotal finding we reassess
the allowed mass range of PBHs to assemble all cosmological dark matter, which
is estimated to be $10^{11} \lesssim M_{\rm BH}/{\rm g} \lesssim 10^{21}$.
| [
{
"created": "Tue, 16 Jul 2024 16:11:29 GMT",
"version": "v1"
}
] | 2024-08-01 | [
[
"Anchordoqui",
"Luis A.",
""
],
[
"Antoniadis",
"Ignatios",
""
],
[
"Lust",
"Dieter",
""
],
[
"Castillo",
"Karem Peñaló",
""
]
] | The dark dimension provides a mechanism to resolve the cosmological hierarchy problem and assembles a colosseum for dark matter contenders. In a series of recent publications we investigated whether primordial black holes (PBHs) perceiving the dark dimension could constitute all of the dark matter in the universe. A key assumption of these investigations is that PBHs remain confined to the brane during the entire evaporation process. As a consequence, the abundance of PBHs evaporating at the present epoch is severely constrained by observations of both the extragalactic and Galactic $\gamma$-ray backgrounds. As a natural outgrowth of these investigations, herein we relax the assumption of brane localized PBHs and reexamine the evaporation process of PBHs which are allowed to escape into the dark dimension. We show that the escape of PBHs from the brane is almost instantaneous. Armed with this pivotal finding we reassess the allowed mass range of PBHs to assemble all cosmological dark matter, which is estimated to be $10^{11} \lesssim M_{\rm BH}/{\rm g} \lesssim 10^{21}$. |
0907.2107 | Jun Nishimura | Hajime Aoki, Jun Nishimura, Yoshiaki Susaki | Dominance of a single topological sector in gauge theory on
non-commutative geometry | 16 pages, 27 figures, typos corrected | JHEP09(2009)084 | 10.1088/1126-6708/2009/09/084 | SAGA-HE-253, KEK-TH-1321 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate a striking effect of non-commutative (NC) geometry on
topological properties of gauge theory by Monte Carlo simulations. We study 2d
U(1) NC gauge theory for various boundary conditions using a new finite-matrix
formulation proposed recently. We find that a single topological sector
dictated by the boundary condition dominates in the continuum limit. This is in
sharp contrast to the results in commutative space-time based on lattice gauge
theory, where all topological sectors appear with certain weights in the
continuum limit. We discuss possible implications of this effect in the context
of string theory compactifications and in field theory contexts.
| [
{
"created": "Mon, 13 Jul 2009 07:51:26 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2009 05:12:56 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Aoki",
"Hajime",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Susaki",
"Yoshiaki",
""
]
] | We demonstrate a striking effect of non-commutative (NC) geometry on topological properties of gauge theory by Monte Carlo simulations. We study 2d U(1) NC gauge theory for various boundary conditions using a new finite-matrix formulation proposed recently. We find that a single topological sector dictated by the boundary condition dominates in the continuum limit. This is in sharp contrast to the results in commutative space-time based on lattice gauge theory, where all topological sectors appear with certain weights in the continuum limit. We discuss possible implications of this effect in the context of string theory compactifications and in field theory contexts. |
2203.14774 | Tin Sulejmanpasic | Mariia Anosova, Christof Gattringer, Nabil Iqbal and Tin Sulejmanpasic | Phase structure of self-dual lattice gauge theories in 4d | 40 pages, 13 Figures | null | 10.1007/JHEP06(2022)149 | null | hep-th cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss U(1) lattice gauge theory models based on a modified Villain
formulation of the gauge action, which allows coupling to bosonic electric and
magnetic matter. The formulation enjoys a duality which maps electric and
magnetic sectors into each other. We propose several generalizations of the
model and discuss their 't~Hooft anomalies. A particularly interesting class of
theories is the one where electric and magnetic matter fields are coupled with
identical actions, such that for a particular value of the gauge coupling the
theory has a self-dual symmetry. The self-dual symmetry turns out to be a
generator of a group which is a central extension of $\mathbb Z_4$ by the
lattice translation symmetry group. The simplest case amenable to numerical
simulations is the case when there is exactly one electrically and one
magnetically charged boson. We discuss the phase structure of this theory and
the nature of the self-dual symmetry in detail. Using a suitable worldline
representation of the system we present the results of numerical simulations
that support the conjectured phase diagram.
| [
{
"created": "Mon, 28 Mar 2022 14:06:14 GMT",
"version": "v1"
}
] | 2022-07-13 | [
[
"Anosova",
"Mariia",
""
],
[
"Gattringer",
"Christof",
""
],
[
"Iqbal",
"Nabil",
""
],
[
"Sulejmanpasic",
"Tin",
""
]
] | We discuss U(1) lattice gauge theory models based on a modified Villain formulation of the gauge action, which allows coupling to bosonic electric and magnetic matter. The formulation enjoys a duality which maps electric and magnetic sectors into each other. We propose several generalizations of the model and discuss their 't~Hooft anomalies. A particularly interesting class of theories is the one where electric and magnetic matter fields are coupled with identical actions, such that for a particular value of the gauge coupling the theory has a self-dual symmetry. The self-dual symmetry turns out to be a generator of a group which is a central extension of $\mathbb Z_4$ by the lattice translation symmetry group. The simplest case amenable to numerical simulations is the case when there is exactly one electrically and one magnetically charged boson. We discuss the phase structure of this theory and the nature of the self-dual symmetry in detail. Using a suitable worldline representation of the system we present the results of numerical simulations that support the conjectured phase diagram. |
hep-th/0308182 | Gorsky Alexander Sergeevich | A.Gorsky | Spin Chains and Gauge/String Duality | 20 pages,reference added | Theor.Math.Phys. 142 (2005) 153-165; Teor.Mat.Fiz. 142 (2005)
179-196 | null | null | hep-th | null | The stringy picture behind the integrable spin chains governing the evolution
equations in Yang-Mills theory is discussed. It is shown that one-loop
dilatation operator in N=4 theory can be expressed in terms of two-point
functions on 2d worldsheet. Using the relation between Neumann integrable
system and the spin chains it is argued that the transition to the finite gauge
theory coupling implies the discretization of the worldsheet. We conjecture
that string bit model for the discretized worldsheet corresponds to the
representation of the integrable spin chains in terms of the separated
variables.
| [
{
"created": "Wed, 27 Aug 2003 14:32:17 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Oct 2003 11:59:02 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gorsky",
"A.",
""
]
] | The stringy picture behind the integrable spin chains governing the evolution equations in Yang-Mills theory is discussed. It is shown that one-loop dilatation operator in N=4 theory can be expressed in terms of two-point functions on 2d worldsheet. Using the relation between Neumann integrable system and the spin chains it is argued that the transition to the finite gauge theory coupling implies the discretization of the worldsheet. We conjecture that string bit model for the discretized worldsheet corresponds to the representation of the integrable spin chains in terms of the separated variables. |
2107.04600 | Elias Furrer | Johannes Aspman, Elias Furrer, Jan Manschot | Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD | 56 pages + Appendices, 22 figures | null | 10.1103/PhysRevD.105.025021 | null | hep-th math.AG math.NT | http://creativecommons.org/licenses/by/4.0/ | We consider the order parameter $u=\left<{\rm Tr}\phi^2\right>$ as function
of the running coupling constant $\tau \in \mathbb{H}$ of asymptotically free
$\mathcal{N}=2$ QCD with gauge group $SU(2)$ and $N_f\leq 3$ massive
hypermultiplets. If the domain for $\tau$ is restricted to an appropriate
fundamental domain $\mathcal{F}_{N_f}$, the function $u$ is one-to-one. We
demonstrate that these domains consist of six or less images of an ${\rm
SL}(2,\mathbb{Z})$ keyhole fundamental domain, with appropriate identifications
of the boundaries. For special choices of the masses, $u$ does not give rise to
branch points and cuts, such that $u$ is a modular function for a congruence
subgroup $\Gamma$ of ${\rm SL}(2,\mathbb{Z})$ and the fundamental domain is
$\Gamma\backslash\mathbb{H}$. For generic masses, however, branch points and
cuts are present, and subsets of $\mathcal{F}_{N_f}$ are being cut and glued
upon varying the mass. We study this mechanism for various phenomena, such as
decoupling of hypermultiplets, merging of local singularities, as well as
merging of non-local singularities which give rise to superconformal
Argyres-Douglas theories.
| [
{
"created": "Fri, 9 Jul 2021 18:00:02 GMT",
"version": "v1"
}
] | 2022-02-09 | [
[
"Aspman",
"Johannes",
""
],
[
"Furrer",
"Elias",
""
],
[
"Manschot",
"Jan",
""
]
] | We consider the order parameter $u=\left<{\rm Tr}\phi^2\right>$ as function of the running coupling constant $\tau \in \mathbb{H}$ of asymptotically free $\mathcal{N}=2$ QCD with gauge group $SU(2)$ and $N_f\leq 3$ massive hypermultiplets. If the domain for $\tau$ is restricted to an appropriate fundamental domain $\mathcal{F}_{N_f}$, the function $u$ is one-to-one. We demonstrate that these domains consist of six or less images of an ${\rm SL}(2,\mathbb{Z})$ keyhole fundamental domain, with appropriate identifications of the boundaries. For special choices of the masses, $u$ does not give rise to branch points and cuts, such that $u$ is a modular function for a congruence subgroup $\Gamma$ of ${\rm SL}(2,\mathbb{Z})$ and the fundamental domain is $\Gamma\backslash\mathbb{H}$. For generic masses, however, branch points and cuts are present, and subsets of $\mathcal{F}_{N_f}$ are being cut and glued upon varying the mass. We study this mechanism for various phenomena, such as decoupling of hypermultiplets, merging of local singularities, as well as merging of non-local singularities which give rise to superconformal Argyres-Douglas theories. |
hep-th/9510122 | Yun Soo Myung | H.W. Lee, Y.S. Myung(Inje U.), Jin Young Kim(Dongseo U.) | Blushift of a tachyon in the charged 2D black hole | 15 pages 3 figures, RevTeX, to be published Phys. Rev. D52 (15
November,1995), to obtain the figures contact Author
(ysmyung@physics.inje.ac.kr) | Phys.Rev. D52 (1995) 5806-5811 | 10.1103/PhysRevD.52.5806 | INJE-TP-95-2 | hep-th | null | We study the propagation of string fields (metric $G_{\mu\nu}$, Mawxell gauge
potential $A_{\mu}$, dilaton $\Phi$, and tachyon $T$) in a two-dimensional (2D)
charged black hole. It is shown that the tachyon is a propagating field both
inside and outside the black hole. This becomes infinitely blueshifted at the
inner horizon. We confirm that the inner horizon is unstable, whereas the outer
horizon is stable.
| [
{
"created": "Wed, 18 Oct 1995 07:57:29 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Lee",
"H. W.",
"",
"Inje U."
],
[
"Myung",
"Y. S.",
"",
"Inje U."
],
[
"Kim",
"Jin Young",
"",
"Dongseo U."
]
] | We study the propagation of string fields (metric $G_{\mu\nu}$, Mawxell gauge potential $A_{\mu}$, dilaton $\Phi$, and tachyon $T$) in a two-dimensional (2D) charged black hole. It is shown that the tachyon is a propagating field both inside and outside the black hole. This becomes infinitely blueshifted at the inner horizon. We confirm that the inner horizon is unstable, whereas the outer horizon is stable. |
hep-th/0612101 | Dongsu Bak | Dongsu Bak, Nobuyoshi Ohta, and Paul K. Townsend | The D2 Susy Zoo | 28 pages, 1 figure; v2: minor corrections | JHEP 0703:013,2007 | 10.1088/1126-6708/2007/03/013 | DAMTP-2006-108, KU-TP 010, UOSTP-06-104 | hep-th | null | We present new supersymmetric solutions of the Dirac-Born-Infeld equations
for time-independent D2-branes, including a 1/2 supersymmetric `dyonic'
D2-brane and various 1/4 supersymmetric configurations that include `twisted'
supertubes, superfunnels with arbitrary planar cross-section, asymptotically
planar D2-branes, and non-singular intersections of `magnetic' D2-branes. Our
analysis is exhaustive for D2-branes in three space dimensions.
| [
{
"created": "Tue, 12 Dec 2006 00:29:52 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2006 15:52:00 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Bak",
"Dongsu",
""
],
[
"Ohta",
"Nobuyoshi",
""
],
[
"Townsend",
"Paul K.",
""
]
] | We present new supersymmetric solutions of the Dirac-Born-Infeld equations for time-independent D2-branes, including a 1/2 supersymmetric `dyonic' D2-brane and various 1/4 supersymmetric configurations that include `twisted' supertubes, superfunnels with arbitrary planar cross-section, asymptotically planar D2-branes, and non-singular intersections of `magnetic' D2-branes. Our analysis is exhaustive for D2-branes in three space dimensions. |
1308.2397 | Igor Bandos A. | Igor A. Bandos | Non-Abelian tensor hierarchy in (1,0) D=6 superspace | 1+10 pages, no figures. V2: New section added, discussion extended,
1+19 pages, to appear in JHEP | null | 10.1007/JHEP11(2013)203 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a set of constraints on superfield strengths of the non-Abelian
p-form potentials in D=6 (1,0) superspace which reproduces, as their
selfconsistency conditions, the equations of motion of the recently proposed
(1,0) superconformal theory. These include the anti-self-duality conditions for
the field strength of the non-Abelian 2-form potential, duality between field
strengths of the non-Abelian vectors and 3-forms as well as of the non-Abelian
four forms and scalar fields.
| [
{
"created": "Sun, 11 Aug 2013 13:50:45 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 2013 18:00:40 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Bandos",
"Igor A.",
""
]
] | We present a set of constraints on superfield strengths of the non-Abelian p-form potentials in D=6 (1,0) superspace which reproduces, as their selfconsistency conditions, the equations of motion of the recently proposed (1,0) superconformal theory. These include the anti-self-duality conditions for the field strength of the non-Abelian 2-form potential, duality between field strengths of the non-Abelian vectors and 3-forms as well as of the non-Abelian four forms and scalar fields. |
1506.07505 | Anna Karlsson | Anna Karlsson | Pure spinor indications of ultraviolet finiteness in D=4 maximal
supergravity | 28 pages, v2: Footnote added: further analysis required | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ultraviolet divergences of amplitude diagrams in maximal supergravity are
characterised by a first possible divergence at seven loops for the 4-point
amplitude (logarithmic) and, in its absence, at eight loops. We revisit the
pure spinor superfield theory results of [arXiv:1412.5983], stating the absence
of the divergence originating in the 4-point 7-loop amplitude as well as those
of more than seven loops. The analysis, performed in terms of the one-particle
irreducible loop structures giving rise to the divergences, is extended,
especially with respect to the limits on the dimension for finiteness. The
results correspond to those mentioned, known from other approaches, indicating
an ultraviolet finiteness of maximal supergravity in D=4.
| [
{
"created": "Wed, 24 Jun 2015 19:23:58 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2015 16:51:22 GMT",
"version": "v2"
}
] | 2015-08-18 | [
[
"Karlsson",
"Anna",
""
]
] | The ultraviolet divergences of amplitude diagrams in maximal supergravity are characterised by a first possible divergence at seven loops for the 4-point amplitude (logarithmic) and, in its absence, at eight loops. We revisit the pure spinor superfield theory results of [arXiv:1412.5983], stating the absence of the divergence originating in the 4-point 7-loop amplitude as well as those of more than seven loops. The analysis, performed in terms of the one-particle irreducible loop structures giving rise to the divergences, is extended, especially with respect to the limits on the dimension for finiteness. The results correspond to those mentioned, known from other approaches, indicating an ultraviolet finiteness of maximal supergravity in D=4. |
hep-th/0406276 | Jerzy Kowalski-Glikman | J. Kowalski-Glikman and Lee Smolin | Triply Special Relativity | 13 pages | Phys.Rev. D70 (2004) 065020 | 10.1103/PhysRevD.70.065020 | null | hep-th | null | We describe an extension of special relativity characterized by {\it three}
invariant scales, the speed of light, $c$, a mass, $\kappa$ and a length $R$.
This is defined by a non-linear extension of the Poincare algerbra, $\cal A$,
which we describe here. For $R\to \infty$, $\cal A$ becomes the Snyder
presentation of the $\kappa$-Poincare algebra, while for $\kappa \to \infty$ it
becomes the phase space algebra of a particle in deSitter spacetime. We
conjecture that the algebra is relevant for the low energy behavior of quantum
gravity, with $\kappa$ taken to be the Planck mass, for the case of a nonzero
cosmological constant $\Lambda = R^{-2}$. We study the modifications of
particle motion which follow if the algebra is taken to define the Poisson
structure of the phase space of a relativistic particle.
| [
{
"created": "Wed, 30 Jun 2004 18:32:35 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kowalski-Glikman",
"J.",
""
],
[
"Smolin",
"Lee",
""
]
] | We describe an extension of special relativity characterized by {\it three} invariant scales, the speed of light, $c$, a mass, $\kappa$ and a length $R$. This is defined by a non-linear extension of the Poincare algerbra, $\cal A$, which we describe here. For $R\to \infty$, $\cal A$ becomes the Snyder presentation of the $\kappa$-Poincare algebra, while for $\kappa \to \infty$ it becomes the phase space algebra of a particle in deSitter spacetime. We conjecture that the algebra is relevant for the low energy behavior of quantum gravity, with $\kappa$ taken to be the Planck mass, for the case of a nonzero cosmological constant $\Lambda = R^{-2}$. We study the modifications of particle motion which follow if the algebra is taken to define the Poisson structure of the phase space of a relativistic particle. |
hep-th/0010106 | Horatiu Stefan Nastase | Horatiu Nastase and Warren Siegel | A new AdS/CFT correspondence | 20 pages, no figures, latex, factor of N(c) added to actions 6.4 and
7.11 and duality relation 6.7, closed string coupling corrected, one
reference added (last one in [7]) | JHEP 0010 (2000) 040 | 10.1088/1126-6708/2000/10/040 | null | hep-th | null | We consider a geometric zero-radius limit for strings on $AdS_5\times S^5$,
where the anti-de Sitter hyperboloid becomes the projective lightcone. In this
limit the fifth dimension becomes nondynamical, yielding a different
"holographic" interpretation than the usual "bulk to boundary" one. When
quantized on the random lattice, the fifth coordinate acts as a new kind of
Schwinger parameter, producing Feynman rules with normal propagators at the
tree level: For example, in the bosonic case ordinary massless $\phi^4$ theory
is obtained. In the superstring case we obtain new, manifestly ${\cal N}=4$
supersymmetric rules for ${\cal N}=4$ super Yang-Mills. These gluons are also
different from those of the usual AdS/CFT correspondence: They are the
"partons" that make up the usual "hadrons" of the open and closed strings in
the familiar QCD string picture. Thus, their coupling $g_{YM}$ and rank $N$ of
the "color" gauge group are different from those of the "flavor" gauge group of
the open string. As a result we obtain different perturbation expansions in
radius, coupling, and 1/N.
| [
{
"created": "Thu, 12 Oct 2000 22:30:29 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2000 17:32:16 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Oct 2000 19:52:23 GMT",
"version": "v3"
},
{
"created": "Wed, 25 Oct 2000 17:06:41 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Nastase",
"Horatiu",
""
],
[
"Siegel",
"Warren",
""
]
] | We consider a geometric zero-radius limit for strings on $AdS_5\times S^5$, where the anti-de Sitter hyperboloid becomes the projective lightcone. In this limit the fifth dimension becomes nondynamical, yielding a different "holographic" interpretation than the usual "bulk to boundary" one. When quantized on the random lattice, the fifth coordinate acts as a new kind of Schwinger parameter, producing Feynman rules with normal propagators at the tree level: For example, in the bosonic case ordinary massless $\phi^4$ theory is obtained. In the superstring case we obtain new, manifestly ${\cal N}=4$ supersymmetric rules for ${\cal N}=4$ super Yang-Mills. These gluons are also different from those of the usual AdS/CFT correspondence: They are the "partons" that make up the usual "hadrons" of the open and closed strings in the familiar QCD string picture. Thus, their coupling $g_{YM}$ and rank $N$ of the "color" gauge group are different from those of the "flavor" gauge group of the open string. As a result we obtain different perturbation expansions in radius, coupling, and 1/N. |
0706.1675 | Tapobrata Sarkar | Tapobrata Sarkar, Ajay Singh | On Phases of Generic Toric Singularities | 1+17 Pages, LaTeX | JHEP 0712:021,2007 | 10.1088/1126-6708/2007/12/021 | null | hep-th | null | We systematically study the phases of generic toric singularities, using
methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma
Models with arbitrary charges. We show that complete information about generic
$U(1)^r$ GLSMs can be obtained by studying the GLSM Lagrangian, appropriately
modified in the different phases of the theory. This can be used to study the
different phases of $L^{a,b,c}$ spaces and their non-supersymmetric
counterparts.
| [
{
"created": "Tue, 12 Jun 2007 12:56:01 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Sarkar",
"Tapobrata",
""
],
[
"Singh",
"Ajay",
""
]
] | We systematically study the phases of generic toric singularities, using methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma Models with arbitrary charges. We show that complete information about generic $U(1)^r$ GLSMs can be obtained by studying the GLSM Lagrangian, appropriately modified in the different phases of the theory. This can be used to study the different phases of $L^{a,b,c}$ spaces and their non-supersymmetric counterparts. |
2105.08730 | Lakshya Bhardwaj | Lakshya Bhardwaj | Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S | 46 pages; v2: Changed some previously confusing notation to improve
clarity; v3: Added a glossary of notation, Added more computational details
in the example labeled 'Bifundamental hyper' to illustrate other similar
computations in the rest of the paper | SciPost Phys. 12, 183 (2022) | 10.21468/SciPostPhys.12.6.183 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a systematic method to deduce the global form of flavor symmetry
groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal
field theories (SCFTs) on a Riemann surface carrying regular punctures and
possibly outer-automorphism twist lines. Apriori, this method only determines
the group associated to the manifest part of the flavor symmetry algebra, but
often this information is enough to determine the group associated to the full
enhanced flavor symmetry algebra. Such cases include some interesting and
well-studied 4d N=2 SCFTs like the Minahan-Nemeschansky theories. The symmetry
groups obtained via this method match with the symmetry groups obtained using a
Lagrangian description if such a description arises in some duality frame.
Moreover, we check that the proposed symmetry groups are consistent with the
superconformal indices available in the literature. As another application, our
method finds distinct global forms of flavor symmetry group for pairs of
interacting 4d N=2 SCFTs (recently pointed out in the literature) whose Coulomb
branch dimensions, flavor algebras and levels coincide (along with other
invariants), but nonetheless are distinct SCFTs.
| [
{
"created": "Tue, 18 May 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jun 2021 14:26:16 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Apr 2022 21:38:43 GMT",
"version": "v3"
}
] | 2022-06-08 | [
[
"Bhardwaj",
"Lakshya",
""
]
] | We provide a systematic method to deduce the global form of flavor symmetry groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal field theories (SCFTs) on a Riemann surface carrying regular punctures and possibly outer-automorphism twist lines. Apriori, this method only determines the group associated to the manifest part of the flavor symmetry algebra, but often this information is enough to determine the group associated to the full enhanced flavor symmetry algebra. Such cases include some interesting and well-studied 4d N=2 SCFTs like the Minahan-Nemeschansky theories. The symmetry groups obtained via this method match with the symmetry groups obtained using a Lagrangian description if such a description arises in some duality frame. Moreover, we check that the proposed symmetry groups are consistent with the superconformal indices available in the literature. As another application, our method finds distinct global forms of flavor symmetry group for pairs of interacting 4d N=2 SCFTs (recently pointed out in the literature) whose Coulomb branch dimensions, flavor algebras and levels coincide (along with other invariants), but nonetheless are distinct SCFTs. |
hep-th/0009109 | Leonardo Gualtieri | Nicolas Boulanger, Thibault Damour, Leonardo Gualtieri, Marc Henneaux | No consistent cross-interactions for a collection of massless spin-2
fields | 12+1 pages, to appear in the Proceedings of the Meetings "Spring
School in QFT and Hamiltonian Systems" (Calimanesti, Romania, 2-7 May 2000)
and "Quantization, Gauge Theory and Strings" (Moscow, Russia, 5-10 June 2000) | null | null | IHES/P/00/62, ULB-TH-00/16 | hep-th | null | We report a no-go theorem excluding consistent cross-couplings for a
collection of massless, spin-2 fields described, in the free limit, by the sum
of Pauli-Fierz actions (one for each field). We show that, in spacetime
dimensions >2, there is no consistent coupling, with at most two derivatives of
the fields, that can mix the various "gravitons". The only possible
deformations are given by the sum of individual Einstein-Hilbert actions (one
for each field) with cosmological terms. Our approach is based on the
BRST-based deformation point of view.
| [
{
"created": "Thu, 14 Sep 2000 11:49:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Damour",
"Thibault",
""
],
[
"Gualtieri",
"Leonardo",
""
],
[
"Henneaux",
"Marc",
""
]
] | We report a no-go theorem excluding consistent cross-couplings for a collection of massless, spin-2 fields described, in the free limit, by the sum of Pauli-Fierz actions (one for each field). We show that, in spacetime dimensions >2, there is no consistent coupling, with at most two derivatives of the fields, that can mix the various "gravitons". The only possible deformations are given by the sum of individual Einstein-Hilbert actions (one for each field) with cosmological terms. Our approach is based on the BRST-based deformation point of view. |
hep-th/0606158 | Haidong Feng | Haidong Feng, Warren Siegel | Random lattice superstrings | Section 5 which describes contributions of the string measure added | Phys.Rev.D74:046001,2006 | 10.1103/PhysRevD.74.046001 | YITP-SB-06-22 | hep-th | null | We propose some new simplifying ingredients for Feynman diagrams that seem
necessary for random lattice formulations of superstrings. In particular, half
the fermionic variables appear only in particle loops (similarly to loop
momenta), reducing the supersymmetry of the constituents of the Type IIB
superstring to N=1, as expected from their interpretation in the 1/N expansion
as super Yang-Mills.
| [
{
"created": "Fri, 16 Jun 2006 18:34:42 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2006 15:59:42 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Jul 2006 16:06:55 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Feng",
"Haidong",
""
],
[
"Siegel",
"Warren",
""
]
] | We propose some new simplifying ingredients for Feynman diagrams that seem necessary for random lattice formulations of superstrings. In particular, half the fermionic variables appear only in particle loops (similarly to loop momenta), reducing the supersymmetry of the constituents of the Type IIB superstring to N=1, as expected from their interpretation in the 1/N expansion as super Yang-Mills. |
1511.09362 | Carlos Hoyos Badajoz | J. Erdmenger, M. Flory, C. Hoyos, M-N. Newrzella, A. O'Bannon, J. Wu | Holographic impurities and Kondo effect | 17 pages, 9 figures, Proceedings for COST MP1210 (The String Theory
Universe) at Leuven | null | 10.1002/prop.201500079 | FPAUO-15/17 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Magnetic impurities are responsible for many interesting phenomena in
condensed matter systems, notably the Kondo effect and quantum phase
transitions. Here we present a holographic model of a magnetic impurity that
captures the main physical properties of the large-spin Kondo effect. We
estimate the screening length of the Kondo cloud that forms around the impurity
from a calculation of entanglement entropy and show that our results are
consistent with the g-theorem.
| [
{
"created": "Mon, 30 Nov 2015 16:02:00 GMT",
"version": "v1"
}
] | 2016-11-03 | [
[
"Erdmenger",
"J.",
""
],
[
"Flory",
"M.",
""
],
[
"Hoyos",
"C.",
""
],
[
"Newrzella",
"M-N.",
""
],
[
"O'Bannon",
"A.",
""
],
[
"Wu",
"J.",
""
]
] | Magnetic impurities are responsible for many interesting phenomena in condensed matter systems, notably the Kondo effect and quantum phase transitions. Here we present a holographic model of a magnetic impurity that captures the main physical properties of the large-spin Kondo effect. We estimate the screening length of the Kondo cloud that forms around the impurity from a calculation of entanglement entropy and show that our results are consistent with the g-theorem. |
hep-th/0303042 | Kuperstein Stanislav | S. Kuperstein | On Penrose limit of elliptic branes | 25 pages with 1 figure | JHEP 0306 (2003) 046 | 10.1088/1126-6708/2003/06/046 | TAUP-2723-03 | hep-th | null | We discuss a Penrose limit of an elliptic brane configuration with $N_1$ NS5
and $N_2$ D4 branes. This background is T-dual to $N_1$ D3 branes at a fixed
point of a $\mathbf{C}^3/\mathbf{Z}_{N_2}$ singularity and the T-duality
survives the Penrose limit. The triple scaling limit of $N_1$ and $N_2$ gives
rise to IIA pp-wave solution with a space-like compact direction. We identify
the quiver gauge theory operators and argue that upon exchange of the momentum
along the compact direction and the winding number these operators coincide
with the operators derived in the dual type IIB description. We also find a new
Penrose limit of the type IIB background and the corresponding limit in the
type IIA picture. In the coordinate system we use there are two manifest
space-like isometries. The quiver gauge theory operator duals of the string
states are built of three bosonic fields.
| [
{
"created": "Thu, 6 Mar 2003 10:29:42 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 2003 18:52:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kuperstein",
"S.",
""
]
] | We discuss a Penrose limit of an elliptic brane configuration with $N_1$ NS5 and $N_2$ D4 branes. This background is T-dual to $N_1$ D3 branes at a fixed point of a $\mathbf{C}^3/\mathbf{Z}_{N_2}$ singularity and the T-duality survives the Penrose limit. The triple scaling limit of $N_1$ and $N_2$ gives rise to IIA pp-wave solution with a space-like compact direction. We identify the quiver gauge theory operators and argue that upon exchange of the momentum along the compact direction and the winding number these operators coincide with the operators derived in the dual type IIB description. We also find a new Penrose limit of the type IIB background and the corresponding limit in the type IIA picture. In the coordinate system we use there are two manifest space-like isometries. The quiver gauge theory operator duals of the string states are built of three bosonic fields. |
1403.5494 | Eric D'Hoker | Eric D'Hoker | Topics in Two-Loop Superstring Perturbation Theory | 27 pages, 5 figures, Dedicated to D.H. Phong on the occasion of his
60-th birthday; version 2 includes minor changes and added references in
section 11 | null | null | NSF-KITP-14-032 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution to the Proceedings of the Conference on Analysis,
Complex Geometry, and Mathematical Physics, an expository overview of
superstring perturbation theory to two loop order is presented to an audience
of mathematicians and physicists. Recent results on perturbative supersymmetry
breaking effects in Heterotic string theory compactified on Z_2 \times Z_2
Calabi-Yau orbifolds, and the calculation of the two-loop vacuum energy in
these theories are discussed in detail, and the appearance of a new modular
identity with respect to Sp(4,Z)/Z_4 is reviewed.
| [
{
"created": "Fri, 21 Mar 2014 15:23:47 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Mar 2014 15:26:03 GMT",
"version": "v2"
}
] | 2014-04-01 | [
[
"D'Hoker",
"Eric",
""
]
] | In this contribution to the Proceedings of the Conference on Analysis, Complex Geometry, and Mathematical Physics, an expository overview of superstring perturbation theory to two loop order is presented to an audience of mathematicians and physicists. Recent results on perturbative supersymmetry breaking effects in Heterotic string theory compactified on Z_2 \times Z_2 Calabi-Yau orbifolds, and the calculation of the two-loop vacuum energy in these theories are discussed in detail, and the appearance of a new modular identity with respect to Sp(4,Z)/Z_4 is reviewed. |
hep-th/0310029 | Pedro Bordalo | Pedro Bordalo | Discrete Torsion and WZW Orbifolds | 11 pages, no figures; references added, typos corrected | Phys.Lett. B582 (2004) 86-94 | 10.1016/j.physletb.2003.12.023 | LPTHE-03-26 | hep-th | null | We propose a geometrical interpretation for the discrete torsion appearing in
the algebraic formulation of quotients of WZW models by discrete abelian
subgroups. Part of the discrete torsion corresponds to the choice of action of
the subgroup, yielding different quotient spaces. Another part corresponds to
the set of different choices of connection for the H field in each of these
spaces. The former is for instance used to describe generalized lens spaces
L(n,p).
| [
{
"created": "Fri, 3 Oct 2003 17:38:58 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 2003 10:50:41 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bordalo",
"Pedro",
""
]
] | We propose a geometrical interpretation for the discrete torsion appearing in the algebraic formulation of quotients of WZW models by discrete abelian subgroups. Part of the discrete torsion corresponds to the choice of action of the subgroup, yielding different quotient spaces. Another part corresponds to the set of different choices of connection for the H field in each of these spaces. The former is for instance used to describe generalized lens spaces L(n,p). |
2211.07251 | Shun'ya Mizoguchi | Shun'ya Mizoguchi, Takumi Oikawa, Hitomi Tashiro and Shotaro Yata | More on Seiberg-Witten Theory and Monstrous Moonshine | 17 pages; v3: References added | null | null | KEK-TH-2460 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We continue the study of a relationship between the instanton expansion of
the Seiberg-Witten (SW) prepotential of $D = 4$, ${\cal N }= 2$ $SU(2)$ SUSY
gauge theory and the monstrous moonshine. Extending the previous results, we
show for the cases of $N_f=2$ and $3$ that $q=e^{2\pi i\tau}$, where $\tau$ is
the complex gauge coupling, again has an expansion whose coefficients are all
integer-coefficient polynomials of the moonshine coefficients of the modular
$j$-function in terms of an appropriate expansion variable. We also demonstrate
that the new method of calculating the SW prepotential developed here is useful
by performing some explicit computations.
| [
{
"created": "Mon, 14 Nov 2022 10:09:24 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 02:16:34 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Dec 2022 15:25:05 GMT",
"version": "v3"
}
] | 2022-12-13 | [
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Oikawa",
"Takumi",
""
],
[
"Tashiro",
"Hitomi",
""
],
[
"Yata",
"Shotaro",
""
]
] | We continue the study of a relationship between the instanton expansion of the Seiberg-Witten (SW) prepotential of $D = 4$, ${\cal N }= 2$ $SU(2)$ SUSY gauge theory and the monstrous moonshine. Extending the previous results, we show for the cases of $N_f=2$ and $3$ that $q=e^{2\pi i\tau}$, where $\tau$ is the complex gauge coupling, again has an expansion whose coefficients are all integer-coefficient polynomials of the moonshine coefficients of the modular $j$-function in terms of an appropriate expansion variable. We also demonstrate that the new method of calculating the SW prepotential developed here is useful by performing some explicit computations. |
hep-th/0508153 | Peter Koroteev | P. Koroteev, A. V. Zayakin | Morse Theory in Field Theory | updated version | 207--220, Softex, Sofia, Bulgaria, 2007 | 10.7546/giq-8-2007-207-220 | ITEP-TH 47/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe correlations functions of topological quantum mechanics (TQM) in
terms of Morse theory. We review the basics of topological field theories and
discuss geometric and algebraic interpretations of TQM. We prove that
correlators in TQM can be expressed via intersection numbers of certain
submanifolds of the target space with paths of steepest descent between
critical points of a Morse function. In the end we conjecture another
correspondence between quantum mechanics correlators and integrals of Massey
products of certain cohomology classes.
| [
{
"created": "Sun, 21 Aug 2005 17:18:26 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2005 07:26:45 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jun 2018 21:11:14 GMT",
"version": "v3"
}
] | 2018-06-15 | [
[
"Koroteev",
"P.",
""
],
[
"Zayakin",
"A. V.",
""
]
] | We describe correlations functions of topological quantum mechanics (TQM) in terms of Morse theory. We review the basics of topological field theories and discuss geometric and algebraic interpretations of TQM. We prove that correlators in TQM can be expressed via intersection numbers of certain submanifolds of the target space with paths of steepest descent between critical points of a Morse function. In the end we conjecture another correspondence between quantum mechanics correlators and integrals of Massey products of certain cohomology classes. |
1512.08233 | Daniel Grumiller | Hamid Afshar, St\'ephane Detournay, Daniel Grumiller and Blagoje Oblak | Near-Horizon Geometry and Warped Conformal Symmetry | 26 pages + appendices, v2: added refs. & comments and corrected
T-independent part of free energy for Rindler-AdS | null | 10.1007/JHEP03(2016)187 | TUW-15-22 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide boundary conditions for three-dimensional gravity including
boosted Rindler spacetimes, representing the near-horizon geometry of
non-extremal black holes or flat space cosmologies. These boundary conditions
force us to make some unusual choices, like integrating the canonical boundary
currents over retarded time and periodically identifying the latter. The
asymptotic symmetry algebra turns out to be a Witt algebra plus a twisted u(1)
current algebra with vanishing level, corresponding to a twisted warped CFT
that is qualitatively different from the ones studied so far in the literature.
We show that this symmetry algebra is related to BMS by a twisted Sugawara
construction and exhibit relevant features of our theory, including matching
micro- and macroscopic calculations of the entropy of zero-mode solutions. We
confirm this match in a generalization to boosted Rindler-AdS. Finally, we show
how Rindler entropy emerges in a suitable limit.
| [
{
"created": "Sun, 27 Dec 2015 15:56:14 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2016 16:42:00 GMT",
"version": "v2"
}
] | 2016-05-04 | [
[
"Afshar",
"Hamid",
""
],
[
"Detournay",
"Stéphane",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Oblak",
"Blagoje",
""
]
] | We provide boundary conditions for three-dimensional gravity including boosted Rindler spacetimes, representing the near-horizon geometry of non-extremal black holes or flat space cosmologies. These boundary conditions force us to make some unusual choices, like integrating the canonical boundary currents over retarded time and periodically identifying the latter. The asymptotic symmetry algebra turns out to be a Witt algebra plus a twisted u(1) current algebra with vanishing level, corresponding to a twisted warped CFT that is qualitatively different from the ones studied so far in the literature. We show that this symmetry algebra is related to BMS by a twisted Sugawara construction and exhibit relevant features of our theory, including matching micro- and macroscopic calculations of the entropy of zero-mode solutions. We confirm this match in a generalization to boosted Rindler-AdS. Finally, we show how Rindler entropy emerges in a suitable limit. |
1805.12165 | J. Antonio Garc\'ia Zenteno | J. Alvarez-Jimenez, I. Cortese, J. Antonio Garc\'ia, D.
Guti\'errez-Ruiz, and J. David Vergara | Relativistic Runge-Lenz vector: from ${\cal N}=4$ SYM to SO(4) scalar
field theory | 17 pages. Enhaced version matching the published JHEP version. Typos
corrected. The argument of concistence at the end of section 2 was corrected | JHEP 10 (2018) 153 | 10.1007/JHEP10(2018)153 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from ${\cal N}=4$ SYM and using an appropriate Higgs mechanism we
reconsider the construction of a scalar field theory non-minimally coupled to a
Coulomb potential with a relativistic SO(4) symmetry and check for scalar field
consistency conditions. This scalar field theory can also be obtained from a
relativistic particle Lagrangian with a proper implementation of the
non-minimal coupling. We provide the generalization of the non-relativistic
construction of the Runge-Lenz vector to the relativistic case and show
explicitly that this new vector generates the SO(4) algebra. Using the power of
the SO(4) symmetry, we calculate the relativistic hydrogen atom spectrum. We
provide a generalization of the Kustaanheimo-Stiefel transformation to the
relativistic case and relate our results with the corresponding relativistic
oscillator. Finally, in the light of these results, we reconsider the
calculation of the hydrogen atom spectrum from the cusp anomalous dimension
given in [2].
| [
{
"created": "Wed, 30 May 2018 18:26:06 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2018 00:50:31 GMT",
"version": "v2"
}
] | 2018-11-02 | [
[
"Alvarez-Jimenez",
"J.",
""
],
[
"Cortese",
"I.",
""
],
[
"García",
"J. Antonio",
""
],
[
"Gutiérrez-Ruiz",
"D.",
""
],
[
"Vergara",
"J. David",
""
]
] | Starting from ${\cal N}=4$ SYM and using an appropriate Higgs mechanism we reconsider the construction of a scalar field theory non-minimally coupled to a Coulomb potential with a relativistic SO(4) symmetry and check for scalar field consistency conditions. This scalar field theory can also be obtained from a relativistic particle Lagrangian with a proper implementation of the non-minimal coupling. We provide the generalization of the non-relativistic construction of the Runge-Lenz vector to the relativistic case and show explicitly that this new vector generates the SO(4) algebra. Using the power of the SO(4) symmetry, we calculate the relativistic hydrogen atom spectrum. We provide a generalization of the Kustaanheimo-Stiefel transformation to the relativistic case and relate our results with the corresponding relativistic oscillator. Finally, in the light of these results, we reconsider the calculation of the hydrogen atom spectrum from the cusp anomalous dimension given in [2]. |
1911.08490 | Zhewei Yin | Ian Low, Zhewei Yin | New Flavor-Kinematics Dualities and Extensions of Nonlinear Sigma Models | 5 pages, 1 figure; matched to the published version in v2 | null | 10.1016/j.physletb.2020.135544 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear sigma model (NLSM) based on the coset $\text{SU}(N)\times
\text{SU}(N)/\text{SU}(N)$ exhibits several intriguing features at the leading
${\cal O}(p^2)$ in the derivative expansion, such as the flavor-kinematics
duality and an extended theory controlling the single and triple soft limits.
In both cases the cubic biadjoint scalar theory plays a prominent role. We
extend these features in two directions. First we uncover a new extended theory
for $\text{SO}(N+1)/\text{SO}(N)$ NLSM at ${\cal O}(p^2)$, which is a cubic
bifundamental/biadjoint scalar theory. Next we provide evidence for
flavor-kinematics dualities up to ${\cal O}(p^4)$ for both $\text{SU}(N)$ and
$\text{SO}(N)$ NLSM's. In particular, we introduce a new duality building block
based on the symmetric tensor $\delta^{ab}$ and demonstrate several
flavor-kinematics dualities for 4-point amplitudes, which precisely match the
soft blocks employed to soft-bootstrap the NLSM's up to ${\cal O} (p^4)$.
| [
{
"created": "Tue, 19 Nov 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 18:29:13 GMT",
"version": "v2"
}
] | 2020-06-17 | [
[
"Low",
"Ian",
""
],
[
"Yin",
"Zhewei",
""
]
] | Nonlinear sigma model (NLSM) based on the coset $\text{SU}(N)\times \text{SU}(N)/\text{SU}(N)$ exhibits several intriguing features at the leading ${\cal O}(p^2)$ in the derivative expansion, such as the flavor-kinematics duality and an extended theory controlling the single and triple soft limits. In both cases the cubic biadjoint scalar theory plays a prominent role. We extend these features in two directions. First we uncover a new extended theory for $\text{SO}(N+1)/\text{SO}(N)$ NLSM at ${\cal O}(p^2)$, which is a cubic bifundamental/biadjoint scalar theory. Next we provide evidence for flavor-kinematics dualities up to ${\cal O}(p^4)$ for both $\text{SU}(N)$ and $\text{SO}(N)$ NLSM's. In particular, we introduce a new duality building block based on the symmetric tensor $\delta^{ab}$ and demonstrate several flavor-kinematics dualities for 4-point amplitudes, which precisely match the soft blocks employed to soft-bootstrap the NLSM's up to ${\cal O} (p^4)$. |
1409.8634 | Anatoliy Korybut | A.V. Korybut | Covariant Structure Constants for Deformed Oscillator Algebra | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $sl_2$-covariant expressions for structure constants of the associative
algebra of deformed oscillators $Aq\left(2,\nu\right)$ are obtained.
| [
{
"created": "Tue, 30 Sep 2014 17:29:51 GMT",
"version": "v1"
}
] | 2014-10-01 | [
[
"Korybut",
"A. V.",
""
]
] | $sl_2$-covariant expressions for structure constants of the associative algebra of deformed oscillators $Aq\left(2,\nu\right)$ are obtained. |
1812.08962 | Hugo Garcia-Compean | Erick Chacon, Hugo Garcia-Compean | Self-dual gravity via Hitchin's equations | 27+1 pages, no figures | null | 10.1063/1.5088452 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work half-flat metrics are obtained from Hitchin's equations. The
SU$(\infty)$ Hitchin's equations are obtained and as a consequence of them, the
Husain-Park equation is found. Considering that the gauge group is SU$(2)$,
some solutions associated to Liouville, sinh-Gordon and Painlev\'e III
equations are taken and, through Moyal deformations, solutions of the
SU$(\infty)$ Hitchin's equations are obtained. From these solutions,
hamiltonian vector fields are determined, which in turn are used to construct
the half-flat metrics. Following an approach of Dunajski, Mason and Woodhouse,
it is also possible to construct half-flat metrics on ${\cal M}
\times\mathbb{CP}^{1}$.
| [
{
"created": "Fri, 21 Dec 2018 06:07:37 GMT",
"version": "v1"
}
] | 2019-05-23 | [
[
"Chacon",
"Erick",
""
],
[
"Garcia-Compean",
"Hugo",
""
]
] | In this work half-flat metrics are obtained from Hitchin's equations. The SU$(\infty)$ Hitchin's equations are obtained and as a consequence of them, the Husain-Park equation is found. Considering that the gauge group is SU$(2)$, some solutions associated to Liouville, sinh-Gordon and Painlev\'e III equations are taken and, through Moyal deformations, solutions of the SU$(\infty)$ Hitchin's equations are obtained. From these solutions, hamiltonian vector fields are determined, which in turn are used to construct the half-flat metrics. Following an approach of Dunajski, Mason and Woodhouse, it is also possible to construct half-flat metrics on ${\cal M} \times\mathbb{CP}^{1}$. |
hep-th/9506022 | Ivan Kostov | Saburo Higuchi and Ivan K. Kostov | Feynman rules for string field theories with discrete target space | 19 pages, harvmac, 4 uuencoded figures included using epsf. A missing
term added to the expression for the genus-one tadpole and Fig.3 modified
correspondingly | Phys.Lett. B357 (1995) 62-70 | 10.1016/0370-2693(95)00878-O | SPhT/95-056 | hep-th | null | We derive a minimal set of Feynman rules for the loop amplitudes in unitary
models of closed strings, whose target space is a simply laced (extended)
Dynkin diagram. The string field Feynman graphs are composed of propagators,
vertices (including tadpoles) of all topologies, and leg factors for the
macroscopic loops. A vertex of given topology factorizes into a fusion
coefficient for the matter fields and an intersection number associated with
the corresponding punctured surface. As illustration we obtain explicit
expressions for the genus-one tadpole and the genus-zero four-loop amplitude.
| [
{
"created": "Sat, 3 Jun 1995 14:05:32 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 1995 19:25:42 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Higuchi",
"Saburo",
""
],
[
"Kostov",
"Ivan K.",
""
]
] | We derive a minimal set of Feynman rules for the loop amplitudes in unitary models of closed strings, whose target space is a simply laced (extended) Dynkin diagram. The string field Feynman graphs are composed of propagators, vertices (including tadpoles) of all topologies, and leg factors for the macroscopic loops. A vertex of given topology factorizes into a fusion coefficient for the matter fields and an intersection number associated with the corresponding punctured surface. As illustration we obtain explicit expressions for the genus-one tadpole and the genus-zero four-loop amplitude. |
hep-th/0609104 | Mohammad Reza Setare | M R Setare | Bulk-Brane Interaction and Holographic Dark Energy | 10 pages, no figure, some references added | Phys.Lett.B642:421-425,2006 | 10.1016/j.physletb.2006.10.014 | null | hep-th | null | In this paper we consider the bulk-brane interaction to obtain the equation
of state for the holographic energy density in non-flat universe enclosed by
the event horizon measured from the sphere of horizon named $L$. We assumes
that the cold dark matter energy density on the brane is conserved, but the
holographic dark energy density on the brane is not conserved due to brane-bulk
energy exchange. Our calculation show, taking $\Omega_{\Lambda}=0.73$ for the
present time, the lower bound of $w_{\rm \Lambda}^{eff}$ is -0.9. This implies
that one can not generate phantom-like equation of state from an interacting
holographic dark energy model in non-flat universe.
| [
{
"created": "Thu, 14 Sep 2006 13:09:07 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2006 11:01:27 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Setare",
"M R",
""
]
] | In this paper we consider the bulk-brane interaction to obtain the equation of state for the holographic energy density in non-flat universe enclosed by the event horizon measured from the sphere of horizon named $L$. We assumes that the cold dark matter energy density on the brane is conserved, but the holographic dark energy density on the brane is not conserved due to brane-bulk energy exchange. Our calculation show, taking $\Omega_{\Lambda}=0.73$ for the present time, the lower bound of $w_{\rm \Lambda}^{eff}$ is -0.9. This implies that one can not generate phantom-like equation of state from an interacting holographic dark energy model in non-flat universe. |
hep-th/0111046 | G. Diamandis | G.A. Diamandis, B.C. Georgalas, P. Kouroumalou and A.B. Lahanas | On the Stability of the Classical Vacua in a Minimal SU(5) 5-D
Supergravity Model | 24 pages, 2 figures | NewJ.Phys.4:1,2002 | 10.1088/1367-2630/4/1/301 | null | hep-th | null | We consider a five-dimensional supergravity model with SU(5) gauge symmetry
and the minimal field content. Studying the arising scalar potential we find
that the gauging of the $U(1)_R$ symmetry of the five-dimensional supergravity
causes instabilities. Lifting the instabilities the vacua are of Anti-de-Sitter
type and SU(5) is broken along with supersymmetry. Keeping the $U(1)_R$
ungauged the potential has flat directions along which supersymmetry is
unbroken.
| [
{
"created": "Tue, 6 Nov 2001 08:58:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Diamandis",
"G. A.",
""
],
[
"Georgalas",
"B. C.",
""
],
[
"Kouroumalou",
"P.",
""
],
[
"Lahanas",
"A. B.",
""
]
] | We consider a five-dimensional supergravity model with SU(5) gauge symmetry and the minimal field content. Studying the arising scalar potential we find that the gauging of the $U(1)_R$ symmetry of the five-dimensional supergravity causes instabilities. Lifting the instabilities the vacua are of Anti-de-Sitter type and SU(5) is broken along with supersymmetry. Keeping the $U(1)_R$ ungauged the potential has flat directions along which supersymmetry is unbroken. |
1804.01175 | Barak Kol | Barak Kol | Algebraic aspects of when and how a Feynman diagram reduces to simpler
ones | 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The method of Symmetries of Feynman Integrals defines for any Feynman diagram
a set of partial differential equations. On some locus in parameter space the
equations imply that the diagram can be reduced to a linear combination of
simpler diagrams. This paper provides a systematic method to determine this
locus and the associated reduction through an algebraic method involving
factorization of maximal minors.
| [
{
"created": "Tue, 3 Apr 2018 21:39:42 GMT",
"version": "v1"
}
] | 2018-04-05 | [
[
"Kol",
"Barak",
""
]
] | The method of Symmetries of Feynman Integrals defines for any Feynman diagram a set of partial differential equations. On some locus in parameter space the equations imply that the diagram can be reduced to a linear combination of simpler diagrams. This paper provides a systematic method to determine this locus and the associated reduction through an algebraic method involving factorization of maximal minors. |
1404.5748 | Zhi-Guo Liu | Zhi-Guo Liu, Yun-Song Piao | AdS cycles in eternally inflating background | 22 pages, 10 figs | null | 10.1088/0264-9381/31/17/175004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the eternally inflating background, the bubbles with AdS vacua will
crunch. However, this crunch might be followed by a bounce. It is generally
thought that the bubble universe may be cyclic, which will go through a
sequence of AdS crunches, until the field inside bubble finally lands at a dS
minimum. However, we show that due to the amplification of field fluctuation,
the bubble universe going through AdS cycles will inevitably fragment within
two or three cycles. We discuss its implication to the eternal inflation
scenario.
| [
{
"created": "Wed, 23 Apr 2014 09:02:08 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Liu",
"Zhi-Guo",
""
],
[
"Piao",
"Yun-Song",
""
]
] | In the eternally inflating background, the bubbles with AdS vacua will crunch. However, this crunch might be followed by a bounce. It is generally thought that the bubble universe may be cyclic, which will go through a sequence of AdS crunches, until the field inside bubble finally lands at a dS minimum. However, we show that due to the amplification of field fluctuation, the bubble universe going through AdS cycles will inevitably fragment within two or three cycles. We discuss its implication to the eternal inflation scenario. |
hep-th/0606092 | Francisco Diego Mazzitelli | C.D. Fosco and F.D. Mazzitelli | Effective action for $QED_3$ in a region with borders | 15 pages, 1 figure | Phys.Rev.D74:025020,2006 | 10.1103/PhysRevD.74.025020 | null | hep-th | null | We study quantum effects due to a Dirac field in 2+1 dimensions, confined to
a spatial region with a non-trivial boundary, and minimally coupled to an
Abelian gauge field. To that end, we apply a path-integral representation,
which is applied to the evaluation of the Casimir energy and to the study of
the contribution of the boundary modes to the effective action when an external
gauge field is present. We also implement a large-mass expansion, deriving
results which are, in principle, valid for any geometry. We compare them with
their counterparts obtained from the large-mass `bosonized' effective theory.
| [
{
"created": "Fri, 9 Jun 2006 21:20:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fosco",
"C. D.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] | We study quantum effects due to a Dirac field in 2+1 dimensions, confined to a spatial region with a non-trivial boundary, and minimally coupled to an Abelian gauge field. To that end, we apply a path-integral representation, which is applied to the evaluation of the Casimir energy and to the study of the contribution of the boundary modes to the effective action when an external gauge field is present. We also implement a large-mass expansion, deriving results which are, in principle, valid for any geometry. We compare them with their counterparts obtained from the large-mass `bosonized' effective theory. |
hep-th/0406006 | Gianluca Calcagni | Gianluca Calcagni | Noncommutative models in patch cosmology | 13 pages, 8 figures. Figures 1 and 2 are included in the text, Figs.
3-8 are in a low-resolution jpeg format. These and other high-resolution
figures are available upon request to the author (calcagni@fis.unipr.it). v3:
corrected misprints | Phys.Rev. D70 (2004) 103525 | 10.1103/PhysRevD.70.103525 | UPRF-2004-07 | hep-th astro-ph hep-ph | null | We consider several classes of noncommutative inflationary models within an
extended version of patch cosmological braneworlds, starting from a maximally
invariant generalization of the action for scalar and tensor perturbations to a
noncommutative brane embedded in a commutative bulk. Slow-roll expressions and
consistency relations for the cosmological observables are provided, both in
the UV and IR region of the spectrum; the inflaton field is assumed to be
either an ordinary scalar field or a Born-Infeld tachyon. The effects of
noncommutativity are then analyzed in a number of ways and energy regimes.
| [
{
"created": "Tue, 1 Jun 2004 19:31:48 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jun 2004 16:59:05 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Nov 2004 13:50:02 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Calcagni",
"Gianluca",
""
]
] | We consider several classes of noncommutative inflationary models within an extended version of patch cosmological braneworlds, starting from a maximally invariant generalization of the action for scalar and tensor perturbations to a noncommutative brane embedded in a commutative bulk. Slow-roll expressions and consistency relations for the cosmological observables are provided, both in the UV and IR region of the spectrum; the inflaton field is assumed to be either an ordinary scalar field or a Born-Infeld tachyon. The effects of noncommutativity are then analyzed in a number of ways and energy regimes. |
0911.5077 | Hagen Triendl | Jan Louis, Paul Smyth and Hagen Triendl | Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type
II String Theory | 37 pages, v2: minor changes and references added, v3: published
version | JHEP 1002:103,2010 | 10.1007/JHEP02(2010)103 | ZMP-HH/09-29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the embedding tensor formalism we give the general conditions for the
existence of N=1 vacua in spontaneously broken N=2 supergravities. Our results
confirm the necessity of having both electrically and magnetically charged
multiplets in the spectrum, but also show that no further constraints on the
special Kahler geometry of the vector multiplets arise. The quaternionic field
space of the hypermultiplets must have two commuting isometries, and as an
example we discuss the special quaternionic-Kahler geometries which appear in
the low-energy limit of type II string theories. For these cases we find the
general solution for stable Minkowski and AdS N=1 vacua, and determine the
charges in terms of the holomorphic prepotentials. We find that the string
theory realisation of the N=1 Minkowski vacua requires the presence of
non-geometric fluxes, whereas they are not needed for the AdS vacua. We also
argue that our results should hold in the presence of spacetime and worldsheet
instanton corrections.
| [
{
"created": "Fri, 27 Nov 2009 14:13:53 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 2009 13:08:56 GMT",
"version": "v2"
},
{
"created": "Wed, 19 May 2010 12:19:24 GMT",
"version": "v3"
}
] | 2010-05-25 | [
[
"Louis",
"Jan",
""
],
[
"Smyth",
"Paul",
""
],
[
"Triendl",
"Hagen",
""
]
] | Using the embedding tensor formalism we give the general conditions for the existence of N=1 vacua in spontaneously broken N=2 supergravities. Our results confirm the necessity of having both electrically and magnetically charged multiplets in the spectrum, but also show that no further constraints on the special Kahler geometry of the vector multiplets arise. The quaternionic field space of the hypermultiplets must have two commuting isometries, and as an example we discuss the special quaternionic-Kahler geometries which appear in the low-energy limit of type II string theories. For these cases we find the general solution for stable Minkowski and AdS N=1 vacua, and determine the charges in terms of the holomorphic prepotentials. We find that the string theory realisation of the N=1 Minkowski vacua requires the presence of non-geometric fluxes, whereas they are not needed for the AdS vacua. We also argue that our results should hold in the presence of spacetime and worldsheet instanton corrections. |
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