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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2010.00595 | Luca Santoni | Rachel A. Rosen and Luca Santoni | Black hole perturbations of massive and partially massless spin-2 fields
in (anti) de Sitter spacetime | null | null | 10.1007/JHEP03(2021)139 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a systematic and comprehensive derivation of the linearized
dynamics of massive and partially massless spin-2 particles in a Schwarzschild
(anti) de Sitter black hole background, in four and higher spacetime
dimensions. In particular, we show how to obtain the quadratic actions for the
propagating modes and recast the resulting equations of motion in a
Schr\"odinger-like form. In the case of partially massless fields in
Schwarzschild de Sitter spacetime, we study the isospectrality between modes of
different parity. In particular, we prove isospectrality analytically for modes
with multipole number $L=1$ in four spacetime dimensions, providing the
explicit form of the underlying symmetry. We show that isospectrality between
partially massless modes of different parity is broken in higher-dimensional
Schwarzschild de Sitter spacetimes.
| [
{
"created": "Thu, 1 Oct 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2021 00:08:32 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jun 2021 18:45:46 GMT",
"version": "v3"
}
] | 2021-06-22 | [
[
"Rosen",
"Rachel A.",
""
],
[
"Santoni",
"Luca",
""
]
] | We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schr\"odinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number $L=1$ in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes. |
1001.1452 | Predrag Dominis Prester | Predrag Dominis Prester | alpha'-corrections and heterotic black holes | 58 pages; significantly improved and corrected review originally
published in Proceedings of Workshop "Black Holes in General Relativity and
String Theory" (August 24-30 2008, Veli Losinj, Croatia) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review some recent results on alpha'-exact calculations of the entropy and
near-horizon geometry of black holes in heterotic string theory.
| [
{
"created": "Sat, 9 Jan 2010 21:32:34 GMT",
"version": "v1"
}
] | 2010-01-12 | [
[
"Prester",
"Predrag Dominis",
""
]
] | We review some recent results on alpha'-exact calculations of the entropy and near-horizon geometry of black holes in heterotic string theory. |
1912.13441 | David Skinner | Roland Bittleston, David Skinner | Gauge Theory and Boundary Integrability II: Elliptic and Trigonometric
Case | 32 pages, 6 figures | null | 10.1007/JHEP06(2020)080 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the mixed topological-holomorphic Chern-Simons theory introduced
by Costello, Yamazaki and Witten on a $\mathbb{Z}_2$ orbifold. We use this to
construct semi-classical solutions of the boundary Yang-Baxter equation in the
elliptic and trigonometric cases. A novel feature of the trigonometric case is
that the $\mathbb{Z}_2$ action lifts to the gauge bundle in a $z$-dependent
way. We construct several examples of $K$-matrices, and check they agree with
cases appearing in the literature.
| [
{
"created": "Tue, 31 Dec 2019 17:19:47 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Bittleston",
"Roland",
""
],
[
"Skinner",
"David",
""
]
] | We consider the mixed topological-holomorphic Chern-Simons theory introduced by Costello, Yamazaki and Witten on a $\mathbb{Z}_2$ orbifold. We use this to construct semi-classical solutions of the boundary Yang-Baxter equation in the elliptic and trigonometric cases. A novel feature of the trigonometric case is that the $\mathbb{Z}_2$ action lifts to the gauge bundle in a $z$-dependent way. We construct several examples of $K$-matrices, and check they agree with cases appearing in the literature. |
hep-th/9905160 | Korkut Bardakci | Korkut Bardakci | An Operator Approach To String Equations | 22 pages (latex, no other macros needed) | Nucl.Phys.B564:285-299,2000 | 10.1016/S0550-3213(99)00556-8 | LBNL-43108, UCB-PTH-99/20 | hep-th | null | In this paper, a new approach to string dynamics is proposed. String
coordinates are identified with a non-commuting set of operators familiar from
free string quantization, and the dynamics follows from the Virasoro algebra.
There is a very large gauge group operating on the non-commuting coordinates.
The gauge has to be fixed suitably to make contact with the standard string
picture.
| [
{
"created": "Fri, 21 May 1999 21:44:00 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bardakci",
"Korkut",
""
]
] | In this paper, a new approach to string dynamics is proposed. String coordinates are identified with a non-commuting set of operators familiar from free string quantization, and the dynamics follows from the Virasoro algebra. There is a very large gauge group operating on the non-commuting coordinates. The gauge has to be fixed suitably to make contact with the standard string picture. |
1312.4911 | Bruno Carneiro da Cunha | Bruno Carneiro da Cunha, Amilcar de Queiroz | Killing Horizons and Spinors | 32 pages, RevTeX4.1, Clarifications on the Attractor Mechanism added.
Matches printed version | Phys. Rev. D 89, 104031 (2014) | 10.1103/PhysRevD.89.104031 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the near horizon geometry of generic Killing horizons constructing
suitable coordinates and taking the appropriate scaling limit. We are able to
show that the geometry will always show an enhancement of symmetries, and, in
the extremal case, will develop a causally disconnected "throat" as expected.
We analyze the implications of this to the Kerr/CFT conjecture and the
attractor mechanism. We are also able to construct a set of special (pure)
spinors associated with the horizon structure using their interpretation as
maximally isotropic planes. The structure generalizes the usual reduced
holonomy manifold in an interesting way and may be fruitful to the search of
new types of compactification backgrounds.
| [
{
"created": "Tue, 17 Dec 2013 19:48:09 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2014 14:37:40 GMT",
"version": "v2"
}
] | 2014-06-20 | [
[
"da Cunha",
"Bruno Carneiro",
""
],
[
"de Queiroz",
"Amilcar",
""
]
] | We study the near horizon geometry of generic Killing horizons constructing suitable coordinates and taking the appropriate scaling limit. We are able to show that the geometry will always show an enhancement of symmetries, and, in the extremal case, will develop a causally disconnected "throat" as expected. We analyze the implications of this to the Kerr/CFT conjecture and the attractor mechanism. We are also able to construct a set of special (pure) spinors associated with the horizon structure using their interpretation as maximally isotropic planes. The structure generalizes the usual reduced holonomy manifold in an interesting way and may be fruitful to the search of new types of compactification backgrounds. |
hep-th/9903009 | Gabriel Flores Hidalgo | Gabriel H. Flores, Rudnei O. Ramos and N. F. Svaiter | Tunneling and Nucleation Rate in the (\lambda\phi^4/4! +
\sigma\phi^6/6!)_3 Model | 23 pages, 3 figures | Int.J.Mod.Phys. A14 (1999) 3715-3730 | 10.1142/S0217751X99001718 | null | hep-th | null | We evaluate both the vacuum decay rate at zero temperature and the finite
temperature nucleation rate for the $(\lambda\phi^4/4! + \sigma\phi^6/6!)_{3D}$
model. Using the thin-wall approximation, we obtain the bounce solution for the
model and we were also able to give the approximate eigenvalue equations for
the bounce.
| [
{
"created": "Sun, 28 Feb 1999 23:32:26 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Flores",
"Gabriel H.",
""
],
[
"Ramos",
"Rudnei O.",
""
],
[
"Svaiter",
"N. F.",
""
]
] | We evaluate both the vacuum decay rate at zero temperature and the finite temperature nucleation rate for the $(\lambda\phi^4/4! + \sigma\phi^6/6!)_{3D}$ model. Using the thin-wall approximation, we obtain the bounce solution for the model and we were also able to give the approximate eigenvalue equations for the bounce. |
1211.4403 | Piotr Kosinski | Joanna Gonera | Conformal mechanics | 22 pages, 4 figures, few references added | null | 10.1016/j.aop.2013.04.018 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The SL(2,R) invariant Hamiltonian systems are discussed within the frame-
work of the orbit method. It is shown that both dynamics and symmetry trans-
formations are globally well-defined on phase space. The flexibility in the
choice of time variable and Hamiltonian function described in the paper by de
Alfaro et al. (Nuovo Cim. 34A (1976),569) is related to the nontrivial global
structure of 1 + 0-dimensional space-time. The operational definition of time
is discussed.
| [
{
"created": "Mon, 19 Nov 2012 13:16:03 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Dec 2012 12:31:49 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Dec 2012 12:58:27 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Jan 2013 14:13:32 GMT",
"version": "v4"
}
] | 2015-06-12 | [
[
"Gonera",
"Joanna",
""
]
] | The SL(2,R) invariant Hamiltonian systems are discussed within the frame- work of the orbit method. It is shown that both dynamics and symmetry trans- formations are globally well-defined on phase space. The flexibility in the choice of time variable and Hamiltonian function described in the paper by de Alfaro et al. (Nuovo Cim. 34A (1976),569) is related to the nontrivial global structure of 1 + 0-dimensional space-time. The operational definition of time is discussed. |
hep-th/9808051 | Won Sik l'Yi | W. S. l'Yi | Coordinate-space holographic projection of fields and an application to
massive vector fields | 1 + 11pages, LaTeX file, Complete revision, even for the title | null | null | null | hep-th | null | General properties of coordinate-space holographic projections of fields in
AdS/CFT correspondence, which respect the Ward identity, are investigated. To
show the usefulness of this methodology it is applied to the computation of
correlators of massive gauge fields.
| [
{
"created": "Mon, 10 Aug 1998 03:56:47 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 1998 08:37:24 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Aug 1998 06:12:14 GMT",
"version": "v3"
},
{
"created": "Wed, 30 Sep 1998 05:40:25 GMT",
"version": "v4"
},
{
"created": "Fri, 8 Jan 1999 08:07:51 GMT",
"version": "v5"
}
] | 2007-05-23 | [
[
"l'Yi",
"W. S.",
""
]
] | General properties of coordinate-space holographic projections of fields in AdS/CFT correspondence, which respect the Ward identity, are investigated. To show the usefulness of this methodology it is applied to the computation of correlators of massive gauge fields. |
1501.00546 | Jai More Ms. | Jai More and Anuradha Misra | Application of Coherent State Approach for the cancellation of Infrared
divergences to all orders in LFQED | 6 pages, for Proceedings of Light-Cone Conference 2014, May 2014,
North Carolina, Raleigh. To appear in Few Body system | null | 10.1007/s00601-014-0932-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We sketch an all order proof of cancellation of infrared (IR) divergences in
Light Front Quantum Electrodynamics (LFQED) using a coherent state formalism.
In this talk, it has been shown that the true IR divergences in fermion self
energy are eliminated to all orders in a light-front time-ordered perturbative
calculation if one uses coherent state basis instead of the usual Fock basis to
calculate the Hamiltonian matrix elements.
| [
{
"created": "Sat, 3 Jan 2015 09:06:17 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"More",
"Jai",
""
],
[
"Misra",
"Anuradha",
""
]
] | We sketch an all order proof of cancellation of infrared (IR) divergences in Light Front Quantum Electrodynamics (LFQED) using a coherent state formalism. In this talk, it has been shown that the true IR divergences in fermion self energy are eliminated to all orders in a light-front time-ordered perturbative calculation if one uses coherent state basis instead of the usual Fock basis to calculate the Hamiltonian matrix elements. |
hep-th/9209132 | Judy Mack | C. R. Hagen | Comment on Internal Frame Dragging and a Global Analog of the
Aharonov-Bohm Effect | 3 pages | null | null | UR1268 | hep-th | null | It is shown that AB-like cross sections can be obtained from symmetry
breaking which does not require infinite energy, angular dependence in the
symmetry breaking term, or a nontrivial $Z_2$ charge.
| [
{
"created": "Wed, 30 Sep 1992 17:03:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hagen",
"C. R.",
""
]
] | It is shown that AB-like cross sections can be obtained from symmetry breaking which does not require infinite energy, angular dependence in the symmetry breaking term, or a nontrivial $Z_2$ charge. |
2004.07842 | Christian Friedrich Steinwachs | Christian F. Steinwachs | Towards a unitary, renormalizable and ultraviolet-complete quantum
theory of gravity | 44 pages, 7 figures, 2 tables; updated references; accepted for
publication in Frontiers in Physics | Front. Phys., 21 July 2020 | 10.3389/fphy.2020.00185 | FR-PHENO-2020-006 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For any fundamental quantum field theory, unitarity, renormalizability, and
relativistic invariance are considered to be essential properties. Unitarity is
inevitably connected to the probabilistic interpretation of the quantum theory,
while renormalizability guarantees its completeness. Relativistic invariance,
in turn, is a symmetry which derives from the structure of spacetime. So far,
the perturbative attempt to formulate a fundamental local quantum field theory
of gravity based on the metric field seems to be in conflict with at least one
of these properties. In quantum Ho\v{r}ava gravity, a quantum Lifshitz field
theory of gravity characterized by an anisotropic scaling between space and
time, unitarity and renormalizability can be retained while Lorentz invariance
is sacrificed at high energies and must emerge only as approximate symmetry at
low energies. I review various approaches to perturbative quantum gravity with
a particular focus on recent progress in the quantization of Ho\v{r}ava
gravity, supporting its theoretical status as a unitary, renormalizable and
ultraviolet-complete quantum theory of gravity.
| [
{
"created": "Thu, 16 Apr 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jul 2020 20:50:12 GMT",
"version": "v2"
}
] | 2021-04-27 | [
[
"Steinwachs",
"Christian F.",
""
]
] | For any fundamental quantum field theory, unitarity, renormalizability, and relativistic invariance are considered to be essential properties. Unitarity is inevitably connected to the probabilistic interpretation of the quantum theory, while renormalizability guarantees its completeness. Relativistic invariance, in turn, is a symmetry which derives from the structure of spacetime. So far, the perturbative attempt to formulate a fundamental local quantum field theory of gravity based on the metric field seems to be in conflict with at least one of these properties. In quantum Ho\v{r}ava gravity, a quantum Lifshitz field theory of gravity characterized by an anisotropic scaling between space and time, unitarity and renormalizability can be retained while Lorentz invariance is sacrificed at high energies and must emerge only as approximate symmetry at low energies. I review various approaches to perturbative quantum gravity with a particular focus on recent progress in the quantization of Ho\v{r}ava gravity, supporting its theoretical status as a unitary, renormalizable and ultraviolet-complete quantum theory of gravity. |
1511.05795 | Arkady Tseytlin | G. Arutyunov, S. Frolov, B. Hoare, R. Roiban, A.A. Tseytlin | Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality
and modified type II equations | 41 pages; v2: comments added; v3: new footnote 34 on notation | null | 10.1016/j.nuclphysb.2015.12.012 | ZMP-HH/15-27, TCDMATH 15-12, Imperial-TP-AT-2015-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the ABF background underlying the eta-deformed AdS5 x S5 sigma
model. This background fails to satisfy the standard IIB supergravity equations
which indicates that the corresponding sigma model is not Weyl invariant, i.e.
does not define a critical string theory in the usual sense. We argue that the
ABF background should still correspond to UV finite theory on a flat 2d
world-sheet, implying that the eta-deformed model is scale invariant. This
property follows from the formal relation via T-duality between the
eta-deformed model and the one defined by an exact type IIB supergravity
solution that has 6 isometries albeit broken by a linear dilaton. We find that
the ABF background satisfies candidate type IIB scale invariance conditions
which for the R-R field strengths are of the second order in derivatives.
Surprisingly, we also find that the this background obeys an interesting
modification of the standard IIB supergravity equations that are first order in
derivatives of R-R fields. These modified equations explicitly depend on
Killing vectors of the ABF background and, although not universal, imply the
universal scale invariance conditions. Moreover, we show that it is precisely
the non-isometric dilaton of the T-dual solution that leads, after the
T-duality, to a modification of type II equations from their standard form. We
conjecture that the modified equations should follow from kappa-symmetry of the
eta-deformed model. All our observations apply also to eta-deformations of AdS3
x S3 and AdS2 x S2 models.
| [
{
"created": "Wed, 18 Nov 2015 14:23:41 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2016 10:26:19 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Jun 2024 16:25:58 GMT",
"version": "v3"
}
] | 2024-06-11 | [
[
"Arutyunov",
"G.",
""
],
[
"Frolov",
"S.",
""
],
[
"Hoare",
"B.",
""
],
[
"Roiban",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We consider the ABF background underlying the eta-deformed AdS5 x S5 sigma model. This background fails to satisfy the standard IIB supergravity equations which indicates that the corresponding sigma model is not Weyl invariant, i.e. does not define a critical string theory in the usual sense. We argue that the ABF background should still correspond to UV finite theory on a flat 2d world-sheet, implying that the eta-deformed model is scale invariant. This property follows from the formal relation via T-duality between the eta-deformed model and the one defined by an exact type IIB supergravity solution that has 6 isometries albeit broken by a linear dilaton. We find that the ABF background satisfies candidate type IIB scale invariance conditions which for the R-R field strengths are of the second order in derivatives. Surprisingly, we also find that the this background obeys an interesting modification of the standard IIB supergravity equations that are first order in derivatives of R-R fields. These modified equations explicitly depend on Killing vectors of the ABF background and, although not universal, imply the universal scale invariance conditions. Moreover, we show that it is precisely the non-isometric dilaton of the T-dual solution that leads, after the T-duality, to a modification of type II equations from their standard form. We conjecture that the modified equations should follow from kappa-symmetry of the eta-deformed model. All our observations apply also to eta-deformations of AdS3 x S3 and AdS2 x S2 models. |
hep-th/0603121 | Sameer Murthy | Sameer Murthy | Non-critical Heterotic Superstrings in Various Dimensions | 27 pages, harvmac. v2 reference added | JHEP0610:037,2006 | 10.1088/1126-6708/2006/10/037 | IC/2006/008 | hep-th | null | We construct heterotic string theories on spacetimes of the form R^{d-1,1}
times N=2 linear dilaton, where d=6,4,2,0. There are two lines of
supersymmetric theories descending from the two supersymmetric ten-dimensional
heterotic theories. These have gauge groups which are lower rank subgroups of
E_{8} times E_{8} and SO(32). On turning on a (2,2) deformation which makes the
two dimensional part a smooth SL_{2}(R)/U(1) supercoset, the gauge groups get
broken further. In the deformed theories, there are non-trivial moduli which
are charged under the surviving gauge group in the case of d=6. We construct
the marginal operators on the worldsheet corresponding to these moduli.
| [
{
"created": "Wed, 15 Mar 2006 18:17:20 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2006 17:31:28 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Murthy",
"Sameer",
""
]
] | We construct heterotic string theories on spacetimes of the form R^{d-1,1} times N=2 linear dilaton, where d=6,4,2,0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories. These have gauge groups which are lower rank subgroups of E_{8} times E_{8} and SO(32). On turning on a (2,2) deformation which makes the two dimensional part a smooth SL_{2}(R)/U(1) supercoset, the gauge groups get broken further. In the deformed theories, there are non-trivial moduli which are charged under the surviving gauge group in the case of d=6. We construct the marginal operators on the worldsheet corresponding to these moduli. |
hep-th/0201017 | Tatsu Takeuchi | Lay Nam Chang, Djordje Minic, Naotoshi Okamura, and Tatsu Takeuchi | The Effect of the Minimal Length Uncertainty Relation on the Density of
States and the Cosmological Constant Problem | 15 pages, REVTEX4, 5 eps figures, errors in equation (9) and
equations (15) through (19) corrected. Updated references | Phys.Rev.D65:125028,2002 | 10.1103/PhysRevD.65.125028 | VPI-IPPAP-01-06 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the effect of the minimal length uncertainty relation,
motivated by perturbative string theory, on the density of states in momentum
space. The relation is implemented through the modified commutation relation
[x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. We point out that
this relation, which is an example of an UV/IR relation, implies the finiteness
of the cosmological constant. While our result does not solve the cosmological
constant problem, it does shed new light on the relation between this
outstanding problem and UV/IR correspondence. We also point out that the
blackbody radiation spectrum will be modified at higher frequencies, but the
effect is too small to be observed in the cosmic microwave background spectrum.
| [
{
"created": "Fri, 4 Jan 2002 05:22:04 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2002 23:33:11 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Sep 2009 22:52:57 GMT",
"version": "v3"
}
] | 2009-09-25 | [
[
"Chang",
"Lay Nam",
""
],
[
"Minic",
"Djordje",
""
],
[
"Okamura",
"Naotoshi",
""
],
[
"Takeuchi",
"Tatsu",
""
]
] | We investigate the effect of the minimal length uncertainty relation, motivated by perturbative string theory, on the density of states in momentum space. The relation is implemented through the modified commutation relation [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. We point out that this relation, which is an example of an UV/IR relation, implies the finiteness of the cosmological constant. While our result does not solve the cosmological constant problem, it does shed new light on the relation between this outstanding problem and UV/IR correspondence. We also point out that the blackbody radiation spectrum will be modified at higher frequencies, but the effect is too small to be observed in the cosmic microwave background spectrum. |
hep-th/9710103 | Gabor Papp | Romuald A. Janik, Maciej A. Nowak, Gabor Papp and Ismail Zahed | Various Shades of Blue's Functions | 53 pages with 14 EPSF figures included. Fig. 8 replaced | Acta Phys.Polon. B28 (1997) 2949 | null | null | hep-th chao-dyn cond-mat hep-lat hep-ph nlin.CD nucl-th | null | We discuss random matrix models in terms of elementary operations on Blue's
functions (functional inverse of Green's functions). We show that such
operations embody the essence of a number of physical phenomena whether at/or
away from the critical points. We illustrate these assertions by borrowing on a
number of recent results in effective QCD in vacuum and matter. We provide
simple physical arguments in favor of the universality of the continuum QCD
spectral oscillations, whether at zero virtuality, in the bulk of the spectrum
or at the chiral critical points. We also discuss effective quantum systems of
disorder with strong or weak dissipation (Hatano-Nelson localization).
| [
{
"created": "Mon, 13 Oct 1997 16:58:43 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 1997 12:21:04 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Janik",
"Romuald A.",
""
],
[
"Nowak",
"Maciej A.",
""
],
[
"Papp",
"Gabor",
""
],
[
"Zahed",
"Ismail",
""
]
] | We discuss random matrix models in terms of elementary operations on Blue's functions (functional inverse of Green's functions). We show that such operations embody the essence of a number of physical phenomena whether at/or away from the critical points. We illustrate these assertions by borrowing on a number of recent results in effective QCD in vacuum and matter. We provide simple physical arguments in favor of the universality of the continuum QCD spectral oscillations, whether at zero virtuality, in the bulk of the spectrum or at the chiral critical points. We also discuss effective quantum systems of disorder with strong or weak dissipation (Hatano-Nelson localization). |
hep-th/0102018 | Jacques Distler | Ilka Brunner and Jacques Distler | Torsion D-Branes in Nongeometrical Phases | 35 pages, 1 figure. LaTeX2e, using UTarticle.cls and utphys.bst | Adv.Theor.Math.Phys.5:265-309,2002 | null | UTTG-01-01 | hep-th math.KT | null | In a geometrical background, D-brane charge is classified by topological
K-theory. The corresponding classification of D-brane charge in an arbitrary,
nongeometrical, compactification is still a mystery. We study D-branes on
non-simply-connected Calabi-Yau 3-folds, with particular interest in the
D-branes whose charges are torsion elements of the K-theory. We argue that we
can follow the D-brane charge through the nongeometrical regions of the Kahler
moduli space and, as evidence, explicitly construct torsion D-branes at the
Gepner point in some examples. In one of our examples, the Gepner theory is a
nonabelian orbifold of a tensor product of minimal models, and this somewhat
exotic situation seems to be essential to the physics.
| [
{
"created": "Mon, 5 Feb 2001 05:27:46 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Brunner",
"Ilka",
""
],
[
"Distler",
"Jacques",
""
]
] | In a geometrical background, D-brane charge is classified by topological K-theory. The corresponding classification of D-brane charge in an arbitrary, nongeometrical, compactification is still a mystery. We study D-branes on non-simply-connected Calabi-Yau 3-folds, with particular interest in the D-branes whose charges are torsion elements of the K-theory. We argue that we can follow the D-brane charge through the nongeometrical regions of the Kahler moduli space and, as evidence, explicitly construct torsion D-branes at the Gepner point in some examples. In one of our examples, the Gepner theory is a nonabelian orbifold of a tensor product of minimal models, and this somewhat exotic situation seems to be essential to the physics. |
hep-th/0112012 | null | Sergei V. Ketov (Caltech-USC Center for Theor. Physics, Los Angeles) | D-instantons and universal hypermultiplet | 21 pages, LaTeX; references added, sect. 3 expanded | null | null | CITUSC/01-046 | hep-th | null | Quantum non-perturbative geometry of the universal hypermultiplet is
investigated. We consider the simple case when the D-instantons, originating
from the Calabi-Yau wrapped D2-branes, preserve a U(1)xU(1) symmetry of the
universal hypermultiplet moduli space. The cluster decomposition of
D-instantons is proved to be valid in a curved spacetime. We find an SL(2,Z)
duality-invariant quaternionic solution to the effective NLSM metric of the
universal hypermultiplet, which is governed by a modular-invariant function.
This function appears to be the same function found by Green and Gutperle, and
describing the modular invariant completion of the R^4 term by the D-instanton
effects in the type-II superstring/M-theory. We argue that our solution
interpolates between the perturbative (large CY volume) region and the
superconformal (Landau-Ginzburg) region in the universal hypermultiplet moduli
space. We also calculate a non-perturbative scalar potential in the
hyper-K\"ahler limit, when an abelian isometry of the universal hypermultiplet
moduli space is gauged in the presence of D-instantons.
| [
{
"created": "Mon, 3 Dec 2001 01:15:58 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Dec 2001 16:53:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ketov",
"Sergei V.",
"",
"Caltech-USC Center for Theor. Physics, Los Angeles"
]
] | Quantum non-perturbative geometry of the universal hypermultiplet is investigated. We consider the simple case when the D-instantons, originating from the Calabi-Yau wrapped D2-branes, preserve a U(1)xU(1) symmetry of the universal hypermultiplet moduli space. The cluster decomposition of D-instantons is proved to be valid in a curved spacetime. We find an SL(2,Z) duality-invariant quaternionic solution to the effective NLSM metric of the universal hypermultiplet, which is governed by a modular-invariant function. This function appears to be the same function found by Green and Gutperle, and describing the modular invariant completion of the R^4 term by the D-instanton effects in the type-II superstring/M-theory. We argue that our solution interpolates between the perturbative (large CY volume) region and the superconformal (Landau-Ginzburg) region in the universal hypermultiplet moduli space. We also calculate a non-perturbative scalar potential in the hyper-K\"ahler limit, when an abelian isometry of the universal hypermultiplet moduli space is gauged in the presence of D-instantons. |
2301.08652 | Silvia Pla Garc\'ia | Jean Alexandre and Silvia Pla | Cosmic bounce and phantom-like equation of state from tunnelling | Comments added; 22 pages, 3 figures | null | 10.1007/JHEP05(2023)145 | KCL-PH-TH/2023-05 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We allow a scalar field on a flat FLRW background metric to tunnel between
two degenerate vacua. The resulting true vacuum state then violates the Null
Energy Condition, and the corresponding homogeneous fluid induces a bounce,
after which it has a phantom-like equation of state and asymptotically leads to
a de Sitter phase. The mechanism presented here requires no exotic matter or
modified gravity, it is purely generated by quantum fluctuations and is valid
for a generic double well potential.
| [
{
"created": "Fri, 20 Jan 2023 16:01:06 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2023 09:30:06 GMT",
"version": "v2"
}
] | 2023-06-07 | [
[
"Alexandre",
"Jean",
""
],
[
"Pla",
"Silvia",
""
]
] | We allow a scalar field on a flat FLRW background metric to tunnel between two degenerate vacua. The resulting true vacuum state then violates the Null Energy Condition, and the corresponding homogeneous fluid induces a bounce, after which it has a phantom-like equation of state and asymptotically leads to a de Sitter phase. The mechanism presented here requires no exotic matter or modified gravity, it is purely generated by quantum fluctuations and is valid for a generic double well potential. |
2002.09071 | Yifei He | Yifei He, Linnea Grans-Samuelsson, Jesper Lykke Jacobsen, Hubert
Saleur | Four-point geometrical correlation functions in the two-dimensional
$Q$-state Potts model: connections with the RSOS models | 47 pages, 12 figures | null | 10.1007/JHEP05(2020)156 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The "bootstrap determination" of the geometrical correlation functions in the
two-dimensional Potts model proposed in a paper [arXiv:1607.07224] was later
shown in [arXiv:1809.02191] to be incorrect, the actual spectrum of the model
being considerably more complex than initially conjectured. We provide in this
paper a geometrical interpretation of the four-point functions built in
[arXiv:1607.07224], and explain why the results obtained by these authors,
albeit incorrect, appeared so close to those of their numerical simulations of
the Potts model. Our strategy is based on a cluster expansion of correlation
functions in RSOS minimal models, and a subsequent numerical and algebraic
analysis of the corresponding $s$-channel spectrum, in full analogy with our
early work on the Potts model [arXiv:1809.02191]. Remarkable properties of the
lattice amplitudes are uncovered, which explain in particular the truncation of
the spectrum of [arXiv:1809.02191] to the much simpler one of the RSOS models,
and which will be used in a forthcoming paper to finally determine the
geometric four-point functions of the Potts model itself.
| [
{
"created": "Fri, 21 Feb 2020 00:26:54 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"He",
"Yifei",
""
],
[
"Grans-Samuelsson",
"Linnea",
""
],
[
"Jacobsen",
"Jesper Lykke",
""
],
[
"Saleur",
"Hubert",
""
]
] | The "bootstrap determination" of the geometrical correlation functions in the two-dimensional Potts model proposed in a paper [arXiv:1607.07224] was later shown in [arXiv:1809.02191] to be incorrect, the actual spectrum of the model being considerably more complex than initially conjectured. We provide in this paper a geometrical interpretation of the four-point functions built in [arXiv:1607.07224], and explain why the results obtained by these authors, albeit incorrect, appeared so close to those of their numerical simulations of the Potts model. Our strategy is based on a cluster expansion of correlation functions in RSOS minimal models, and a subsequent numerical and algebraic analysis of the corresponding $s$-channel spectrum, in full analogy with our early work on the Potts model [arXiv:1809.02191]. Remarkable properties of the lattice amplitudes are uncovered, which explain in particular the truncation of the spectrum of [arXiv:1809.02191] to the much simpler one of the RSOS models, and which will be used in a forthcoming paper to finally determine the geometric four-point functions of the Potts model itself. |
hep-th/9810250 | Charles P. Boyer | Charles P. Boyer and Krzysztof Galicki | 3-Sasakian Manifolds | 59 pages, to appear in Essays on Einstein Manifolds, M. Wang and C.
LeBrun, eds | Surveys Diff.Geom. 7 (1999) 123-184 | null | null | hep-th math.DG | null | This is an expository paper describing the geometry of certain
Sasakian-Einstein manifolds. Such manifolds have recently become of interest
due to Maldacena's AdS/CFT conjecture. They describe near-horizon geometries of
branes at conical singularities.
| [
{
"created": "Fri, 30 Oct 1998 23:28:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Boyer",
"Charles P.",
""
],
[
"Galicki",
"Krzysztof",
""
]
] | This is an expository paper describing the geometry of certain Sasakian-Einstein manifolds. Such manifolds have recently become of interest due to Maldacena's AdS/CFT conjecture. They describe near-horizon geometries of branes at conical singularities. |
2003.07836 | Andrei Mironov | A. Mironov and A. Morozov | Hopf superpolynomial from topological vertices | 12 pages | Nucl.Phys. B960 (2020) 115191 | 10.1016/j.nuclphysb.2020.115191 | FIAN/TD-03/20; IITP/TH-05/20; ITEP/TH-06/20; MIPT/TH-05/20 | hep-th math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Link/knot invariants are series with integer coefficients, and it is a
long-standing problem to get them positive and possessing cohomological
interpretation. Constructing positive "superpolynomials" is not
straightforward, especially for colored invariants. A simpler alternative is a
multi-parametric generalization of the character expansion, which leads to
colored "hyperpolynomials". The third construction involves branes on resolved
conifolds, which gives rise to still another family of invariants associated
with composite representations. We revisit this triality issue in the simple
case of the Hopf link and discover a previously overlooked way to produce
positive colored superpolynomials from the DIM-governed four-point functions,
thus paving a way to a new relation between super- and hyperpolynomials.
| [
{
"created": "Tue, 17 Mar 2020 17:39:46 GMT",
"version": "v1"
}
] | 2020-10-01 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | Link/knot invariants are series with integer coefficients, and it is a long-standing problem to get them positive and possessing cohomological interpretation. Constructing positive "superpolynomials" is not straightforward, especially for colored invariants. A simpler alternative is a multi-parametric generalization of the character expansion, which leads to colored "hyperpolynomials". The third construction involves branes on resolved conifolds, which gives rise to still another family of invariants associated with composite representations. We revisit this triality issue in the simple case of the Hopf link and discover a previously overlooked way to produce positive colored superpolynomials from the DIM-governed four-point functions, thus paving a way to a new relation between super- and hyperpolynomials. |
1008.0644 | Dennis D. Dietrich | Felix Berkhahn, Dennis D. Dietrich, Stefan Hofmann | Self-Protection of Massive Cosmological Gravitons | 1+11 pages, v2: references added | JCAP 1011:018,2010 | 10.1088/1475-7516/2010/11/018 | CP3-ORIGINS-2010-30, LMU-ASC 61/10, TUM-HEP-766/10 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relevant deformations of gravity present an exciting window of opportunity to
probe the rigidity of gravity on cosmological scales. For a single-graviton
theory, the leading relevant deformation constitutes a graviton mass term. In
this paper, we investigate the classical and quantum stability of massive
cosmological gravitons on generic Friedman backgrounds. For a Universe
expanding towards a de Sitter epoch, we find that massive cosmological
gravitons are self-protected against unitarity violations by a strong coupling
phenomenon.
| [
{
"created": "Tue, 3 Aug 2010 20:01:02 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 2010 13:32:11 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Berkhahn",
"Felix",
""
],
[
"Dietrich",
"Dennis D.",
""
],
[
"Hofmann",
"Stefan",
""
]
] | Relevant deformations of gravity present an exciting window of opportunity to probe the rigidity of gravity on cosmological scales. For a single-graviton theory, the leading relevant deformation constitutes a graviton mass term. In this paper, we investigate the classical and quantum stability of massive cosmological gravitons on generic Friedman backgrounds. For a Universe expanding towards a de Sitter epoch, we find that massive cosmological gravitons are self-protected against unitarity violations by a strong coupling phenomenon. |
hep-th/0608019 | Om Prakash Singh Negi | O.P.S. Negi | Higher Dimensional Supersymmetry | null | null | null | null | hep-th | null | Higher dimensional super symmetry has been analyzed in terms of quaternion
variables and the theory of quaternion harmonic oscillator has been analyzed.
Supersymmertization of quaternion Dirac equation has been developed for
massless,massive and interacting cases including generalized electromagnetic
fields of dyons. Accordingly higher dimensional super symmetric gauge theories
of dyons are analyzed.
| [
{
"created": "Wed, 2 Aug 2006 18:05:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Negi",
"O. P. S.",
""
]
] | Higher dimensional super symmetry has been analyzed in terms of quaternion variables and the theory of quaternion harmonic oscillator has been analyzed. Supersymmertization of quaternion Dirac equation has been developed for massless,massive and interacting cases including generalized electromagnetic fields of dyons. Accordingly higher dimensional super symmetric gauge theories of dyons are analyzed. |
hep-th/0012166 | L. L. Salcedo | L.L. Salcedo | Derivative expansion for the effective action of chiral gauge fermions.
The normal parity component | 24 pages, REVTEX, no figures. Minor corrections | Eur.Phys.J.C20:147-159,2001 | 10.1007/s100520100639 | UG-DFM-6-2000 | hep-th | null | Explicit exact formulas are presented, up to fourth order in a strict chiral
covariant derivative expansion, for the normal parity component of the
Euclidean effective action of even-dimensional Dirac fermions. The bosonic
background fields considered are scalar, pseudo-scalar, vector and axial
vector. No assumptions are made on the internal symmetry group and, in
particular, the scalar and pseudo-scalar fields need not be on the chiral
circle.
| [
{
"created": "Tue, 19 Dec 2000 15:15:42 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Mar 2001 16:10:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Salcedo",
"L. L.",
""
]
] | Explicit exact formulas are presented, up to fourth order in a strict chiral covariant derivative expansion, for the normal parity component of the Euclidean effective action of even-dimensional Dirac fermions. The bosonic background fields considered are scalar, pseudo-scalar, vector and axial vector. No assumptions are made on the internal symmetry group and, in particular, the scalar and pseudo-scalar fields need not be on the chiral circle. |
1104.4470 | Satoshi Nawata | Satoshi Nawata | Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index | 42+1 pages, 2 figures, JHEP style: v1.2.3 minor corrections, v4 major
revision, conclusions essentially unchanged, v5 published version | null | 10.1007/JHEP11(2011)144 | TIFR/TH/10-38 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the geometrical meaning of the ${\cal N}=4$ superconformal index.
With this interpretation, the ${\cal N}=4$ superconformal index can be realized
as the partition function on a Scherk-Schwarz deformed background. We apply the
localization method in TQFT to compute the deformed partition function since
the deformed action can be written as a $\delta_\epsilon$-exact form. The
critical points of the deformed action turn out to be the space of flat
connections which are, in fact, zero modes of the gauge field. The one-loop
evaluation over the space of flat connections reduces to the matrix integral by
which the ${\cal N}=4$ superconformal index is expressed.
| [
{
"created": "Fri, 22 Apr 2011 15:39:59 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2011 08:35:09 GMT",
"version": "v2"
},
{
"created": "Thu, 5 May 2011 21:29:07 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Sep 2011 19:36:18 GMT",
"version": "v4"
},
{
"created": "Wed, 23 Nov 2011 14:43:48 GMT",
"version": "v5"
}
] | 2015-05-27 | [
[
"Nawata",
"Satoshi",
""
]
] | We provide the geometrical meaning of the ${\cal N}=4$ superconformal index. With this interpretation, the ${\cal N}=4$ superconformal index can be realized as the partition function on a Scherk-Schwarz deformed background. We apply the localization method in TQFT to compute the deformed partition function since the deformed action can be written as a $\delta_\epsilon$-exact form. The critical points of the deformed action turn out to be the space of flat connections which are, in fact, zero modes of the gauge field. The one-loop evaluation over the space of flat connections reduces to the matrix integral by which the ${\cal N}=4$ superconformal index is expressed. |
1207.4059 | Georgi Dvali | Gia Dvali and Cesar Gomez | Black Holes as Critical Point of Quantum Phase Transition | 27 pages, Latex | null | null | null | hep-th cond-mat.quant-gas gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate the quantum black hole portrait in the language of modern
condensed matter physics. We show that black holes can be understood as a
graviton Bose-Einstein condensate at the critical point of a quantum phase
transition, identical to what has been observed in systems of cold atoms. The
Bogoliubov modes that become degenerate and nearly gapless at this point are
the holographic quantum degrees of freedom responsible for the black hole
entropy and the information storage. They have no (semi)classical counterparts
and become inaccessible in this limit. These findings indicate a deep
connection between the seemingly remote systems and suggest a new quantum
foundation of holography. They also open an intriguing possibility of
simulating black hole information processing in table-top labs.
| [
{
"created": "Tue, 17 Jul 2012 16:40:06 GMT",
"version": "v1"
}
] | 2012-07-18 | [
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] | We reformulate the quantum black hole portrait in the language of modern condensed matter physics. We show that black holes can be understood as a graviton Bose-Einstein condensate at the critical point of a quantum phase transition, identical to what has been observed in systems of cold atoms. The Bogoliubov modes that become degenerate and nearly gapless at this point are the holographic quantum degrees of freedom responsible for the black hole entropy and the information storage. They have no (semi)classical counterparts and become inaccessible in this limit. These findings indicate a deep connection between the seemingly remote systems and suggest a new quantum foundation of holography. They also open an intriguing possibility of simulating black hole information processing in table-top labs. |
1810.09968 | I. V. Kanatchikov | I.V. Kanatchikov (St Andrews) | Schr\"odinger Functional of a Quantum Scalar Field in Static Space-Times
from Precanonical Quantization | 15 pages. arXiv admin note: text overlap with arXiv:1805.05279 | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The functional Schr\"odinger representation of a scalar field on an
$n$-dimensional static space-time background is argued to be a singular
limiting case of the hypercomplex quantum theory of the same system obtained by
the precanonical quantization based on the space-time symmetric De Donder-Weyl
Hamiltonian theory. The functional Schr\"odinger representation emerges from
the precanonical quantization when the ultraviolet parameter $\varkappa$
introduced by precanonical quantization is replaced by
$\underline{\gamma}{}_0\delta^\mathrm{inv}(\mathbf{0})$, where
$\underline{\gamma}{}_0$ is the time-like tangent space Dirac matrix and
$\delta^\mathrm{inv}(\mathbf{0})$ is an invariant spatial $(n-1)$-dimensional
Dirac's delta function whose regularized value at $\mathbf{x}=\mathbf{0}$ is
identified with the cutoff of the volume of the momentum space. In this
limiting case, the Schr\"odinger wave functional is expressed as the trace of
the product integral of Clifford-algebra-valued precanonical wave functions
restricted to a certain field configuration and the canonical functional
derivative Schr\"odinger equation is derived from the manifestly covariant
Dirac-like precanonical Schr\"odinger equation which is independent of a choice
of a codimension-one foliation.
| [
{
"created": "Tue, 23 Oct 2018 16:56:13 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2018 09:19:19 GMT",
"version": "v2"
}
] | 2019-04-26 | [
[
"Kanatchikov",
"I. V.",
"",
"St Andrews"
]
] | The functional Schr\"odinger representation of a scalar field on an $n$-dimensional static space-time background is argued to be a singular limiting case of the hypercomplex quantum theory of the same system obtained by the precanonical quantization based on the space-time symmetric De Donder-Weyl Hamiltonian theory. The functional Schr\"odinger representation emerges from the precanonical quantization when the ultraviolet parameter $\varkappa$ introduced by precanonical quantization is replaced by $\underline{\gamma}{}_0\delta^\mathrm{inv}(\mathbf{0})$, where $\underline{\gamma}{}_0$ is the time-like tangent space Dirac matrix and $\delta^\mathrm{inv}(\mathbf{0})$ is an invariant spatial $(n-1)$-dimensional Dirac's delta function whose regularized value at $\mathbf{x}=\mathbf{0}$ is identified with the cutoff of the volume of the momentum space. In this limiting case, the Schr\"odinger wave functional is expressed as the trace of the product integral of Clifford-algebra-valued precanonical wave functions restricted to a certain field configuration and the canonical functional derivative Schr\"odinger equation is derived from the manifestly covariant Dirac-like precanonical Schr\"odinger equation which is independent of a choice of a codimension-one foliation. |
hep-th/9704088 | Randall Guedes Teixeira | B. M. Pimentel and R. G. Teixeira | Generalization of the Hamilton-Jacobi approach for higher order singular
systems | Latex, 19 pages, no figures | Nuovo Cim. B113 (1998) 805-820 | null | null | hep-th | null | We generalize the Hamilton-Jacobi formulation for higher order singular
systems and obtain the equations of motion as total differential equations. To
do this we first study the constraint structure present in such systems.
| [
{
"created": "Thu, 10 Apr 1997 21:06:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pimentel",
"B. M.",
""
],
[
"Teixeira",
"R. G.",
""
]
] | We generalize the Hamilton-Jacobi formulation for higher order singular systems and obtain the equations of motion as total differential equations. To do this we first study the constraint structure present in such systems. |
hep-th/9402109 | Shamir Yigal | Yigal Shamir | Dynamical-Space Regular-Time Lattice and Induced Gravity | WIS-94/10-Feb-PH, LaTeX, 39 pages | null | null | null | hep-th astro-ph gr-qc hep-lat | null | It is proposed that gravity may arise in the low energy limit of a model of
matter fields defined on a special kind of a dynamical random lattice. Time is
discretized into regular intervals, whereas the discretization of space is
random and dynamical. A triangulation is associated to each distribution of the
spacetime points using the flat metric of the embedding space. We introduce a
diffeomorphism invariant, bilinear scalar action, but no ``pure gravity''
action.
Evidence for the existence of a non-trivial continuum limit is provided by
showing that the zero momentum scalar excitation has a finite energy in the
limit of vanishing lattice spacing. Assuming the existence of localized low
energy states which are described by a natural set of observables, we show that
an effective curved metric will be induced dynamically. The components of the
metric tensor are identified with quasi-local averages of certain microscopic
properties of the quantum spacetime. The Planck scale is identified with the
highest mass scale of the matter sector.
| [
{
"created": "Fri, 18 Feb 1994 09:23:46 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 1994 06:02:16 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Shamir",
"Yigal",
""
]
] | It is proposed that gravity may arise in the low energy limit of a model of matter fields defined on a special kind of a dynamical random lattice. Time is discretized into regular intervals, whereas the discretization of space is random and dynamical. A triangulation is associated to each distribution of the spacetime points using the flat metric of the embedding space. We introduce a diffeomorphism invariant, bilinear scalar action, but no ``pure gravity'' action. Evidence for the existence of a non-trivial continuum limit is provided by showing that the zero momentum scalar excitation has a finite energy in the limit of vanishing lattice spacing. Assuming the existence of localized low energy states which are described by a natural set of observables, we show that an effective curved metric will be induced dynamically. The components of the metric tensor are identified with quasi-local averages of certain microscopic properties of the quantum spacetime. The Planck scale is identified with the highest mass scale of the matter sector. |
hep-th/9607214 | null | Giovanni Salesi and Erasmo Recami | Velocity field and operator in (non relativistic) quantum mechanics | null | Found.Phys.28:763-776,1998 | 10.1023/A:1018849804045 | null | hep-th | null | Starting from the formal expressions of the hydrodynamical (or ``local'')
quantities employed in the applications of Clifford Algebras to quantum
mechanics, we introduce --in terms of the ordinary tensorial framework-- a new
definition for the field of a generic quantity. By translating from Clifford
into tensor algebra, we also propose a new (non-relativistic) velocity operator
for a spin 1/2 particle. This operator is the sum of the ordinary part p/m
describing the mean motion (the motion of the center-of-mass), and of a second
part associated with the so-called zitterbewegung, which is the spin
``internal'' motion observed in the center-of-mass frame. This spin component
of the velocity operator is non-zero not only in the Pauli theoretical
framework, i.e. in presence of external magnetic fields and spin precession,
but also in the Schroedinger case, when the wave-function is a spin eigenstate.
In the latter case, one gets a decomposition of the velocity field for the
Madelung fluid into two distinct parts: which constitutes the non-relativistic
analogue of the Gordon decomposition for the Dirac current. We find furthermore
that the zitterbewegung motion involves a velocity field which is solenoidal,
and that the local angular velocity is parallel to the spin vector. In presence
of a non-constant spin vector (Pauli case) we have, besides the component
normal to spin present even in the Schroedinger theory, also a component of the
local velocity which is parallel to the rotor of the spin vector.
| [
{
"created": "Mon, 29 Jul 1996 07:44:17 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Salesi",
"Giovanni",
""
],
[
"Recami",
"Erasmo",
""
]
] | Starting from the formal expressions of the hydrodynamical (or ``local'') quantities employed in the applications of Clifford Algebras to quantum mechanics, we introduce --in terms of the ordinary tensorial framework-- a new definition for the field of a generic quantity. By translating from Clifford into tensor algebra, we also propose a new (non-relativistic) velocity operator for a spin 1/2 particle. This operator is the sum of the ordinary part p/m describing the mean motion (the motion of the center-of-mass), and of a second part associated with the so-called zitterbewegung, which is the spin ``internal'' motion observed in the center-of-mass frame. This spin component of the velocity operator is non-zero not only in the Pauli theoretical framework, i.e. in presence of external magnetic fields and spin precession, but also in the Schroedinger case, when the wave-function is a spin eigenstate. In the latter case, one gets a decomposition of the velocity field for the Madelung fluid into two distinct parts: which constitutes the non-relativistic analogue of the Gordon decomposition for the Dirac current. We find furthermore that the zitterbewegung motion involves a velocity field which is solenoidal, and that the local angular velocity is parallel to the spin vector. In presence of a non-constant spin vector (Pauli case) we have, besides the component normal to spin present even in the Schroedinger theory, also a component of the local velocity which is parallel to the rotor of the spin vector. |
hep-th/9708103 | Wafic Sabra | W. A. Sabra | General BPS Black Holes In Five Dimensions | 15 pages, Latex, typos corrected | Mod.Phys.Lett.A13:239-251,1998 | 10.1142/S0217732398000309 | null | hep-th gr-qc | null | We construct general static black hole configuration for the theory of N=2,
d=5 supergravity coupled to an arbitrary number of Abelian vector multiplets.
The underlying very special geometry structure plays a major role in this
construction. From the viewpoint of M-theory compactified on a Calabi-Yau
threefold, these black holes are identified with BPS winding states of the
membrane around 2-cycles of the Calabi-Yau threefold, and thus are of
importance in the probing of the phase transitions in the moduli space of
M-theory compactified on a Calabi-Yau threefold.
| [
{
"created": "Tue, 19 Aug 1997 19:24:16 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Sep 1997 13:50:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Sabra",
"W. A.",
""
]
] | We construct general static black hole configuration for the theory of N=2, d=5 supergravity coupled to an arbitrary number of Abelian vector multiplets. The underlying very special geometry structure plays a major role in this construction. From the viewpoint of M-theory compactified on a Calabi-Yau threefold, these black holes are identified with BPS winding states of the membrane around 2-cycles of the Calabi-Yau threefold, and thus are of importance in the probing of the phase transitions in the moduli space of M-theory compactified on a Calabi-Yau threefold. |
hep-th/0512089 | Saharian | A. R. Mkrtchyan, A. A. Saharian, V. V. Parazian | Coherent pair production in deformed crystals with a complex base | 10 pages, 4 figures, misprint in the numerical coefficients in figure
captions is corrected | Mod.Phys.Lett. B20 (2006) 1617-1627 | 10.1142/S0217984906012018 | null | hep-th | null | We investigate the coherent electron-positron pair creation by high-energy
photons in a periodically deformed single crystal with a complex base. The
formula for the corresponding differential cross-section is derived for an
arbitrary deformation field. The conditions are specified under which the
influence of the deformation is considerable. The case is considered in detail
when the photon enters into the crystal at small angles with respect to a
crystallographic axis. The results of the numerical calculations are presented
for $\mathrm{SiO}_{2}$ single crystal and Moliere parametrization of the
screened atomic potentials in the case of the deformation field generated by
the acoustic wave of $S$ type. In dependence of the parameters, the presence of
deformation can either enhance or reduce the pair creation cross-section. This
can be used to control the parameters of the positron sources for storage rings
and colliders.
| [
{
"created": "Wed, 7 Dec 2005 18:32:34 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Dec 2005 18:53:45 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Mkrtchyan",
"A. R.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Parazian",
"V. V.",
""
]
] | We investigate the coherent electron-positron pair creation by high-energy photons in a periodically deformed single crystal with a complex base. The formula for the corresponding differential cross-section is derived for an arbitrary deformation field. The conditions are specified under which the influence of the deformation is considerable. The case is considered in detail when the photon enters into the crystal at small angles with respect to a crystallographic axis. The results of the numerical calculations are presented for $\mathrm{SiO}_{2}$ single crystal and Moliere parametrization of the screened atomic potentials in the case of the deformation field generated by the acoustic wave of $S$ type. In dependence of the parameters, the presence of deformation can either enhance or reduce the pair creation cross-section. This can be used to control the parameters of the positron sources for storage rings and colliders. |
hep-th/0109015 | Ian Jack | I. Jack, D.R.T. Jones and N. Mohammedi | Ultraviolet properties of noncommutative non-linear sigma-models in two
dimensions | 10 pages, including 1 figure. Plain TeX. Uses Harvmac and epsf. Minor
revisions and additional reference. Version to be published in Phys. Lett. B | Phys.Lett. B520 (2001) 405-409 | 10.1016/S0370-2693(01)01171-6 | LTH 518 | hep-th | null | We discuss the ultra-violet properties of bosonic and supersymmetric
noncommutative non-linear sigma-models in two dimensions, both with and without
a Wess-Zumino-Witten term.
| [
{
"created": "Mon, 3 Sep 2001 15:26:39 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Sep 2001 16:10:50 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Sep 2001 14:47:12 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
],
[
"Mohammedi",
"N.",
""
]
] | We discuss the ultra-violet properties of bosonic and supersymmetric noncommutative non-linear sigma-models in two dimensions, both with and without a Wess-Zumino-Witten term. |
2102.05810 | Matteo Baggioli | Ning Wu, Matteo Baggioli, Wei-Jia Li | On the universality of AdS$_2$ diffusion bounds and the breakdown of
linearized hydrodynamics | v2: numerical inaccuracies fixed, figures and presentation improved,
matching the published version in JHEP | Journal of High Energy Physics volume 2021, Article number: 14
(2021) | 10.1007/JHEP05(2021)014 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | The chase of universal bounds on diffusivities in strongly coupled systems
and holographic models has a long track record. The identification of a
universal velocity scale, independent of the presence of well-defined
quasiparticle excitations, is one of the major challenges of this program. A
recent analysis, valid for emergent IR fixed points exhibiting local quantum
criticality, and dual to IR AdS$_2$ geometries, suggests to identify such a
velocity using the time and length scales at which hydrodynamics breaks down --
the equilibration velocity. The latter relates to the radius of convergence of
the hydrodynamic expansion and it is extracted from a collision between a
hydrodynamic diffusive mode and a non-hydrodynamic mode associated to the IR
AdS$_2$ region. In this short note, we confirm this picture for holographic
systems displaying the spontaneous breaking of translational invariance.
Moreover, we find that, at zero temperature, the lower bound set by quantum
chaos and the upper one defined by causality and hydrodynamics exactly
coincide, determining uniquely the diffusion constant. Finally, we comment on
the meaning and universality of this newly proposed prescription.
| [
{
"created": "Thu, 11 Feb 2021 02:20:55 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 2021 09:09:10 GMT",
"version": "v2"
}
] | 2021-05-10 | [
[
"Wu",
"Ning",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Li",
"Wei-Jia",
""
]
] | The chase of universal bounds on diffusivities in strongly coupled systems and holographic models has a long track record. The identification of a universal velocity scale, independent of the presence of well-defined quasiparticle excitations, is one of the major challenges of this program. A recent analysis, valid for emergent IR fixed points exhibiting local quantum criticality, and dual to IR AdS$_2$ geometries, suggests to identify such a velocity using the time and length scales at which hydrodynamics breaks down -- the equilibration velocity. The latter relates to the radius of convergence of the hydrodynamic expansion and it is extracted from a collision between a hydrodynamic diffusive mode and a non-hydrodynamic mode associated to the IR AdS$_2$ region. In this short note, we confirm this picture for holographic systems displaying the spontaneous breaking of translational invariance. Moreover, we find that, at zero temperature, the lower bound set by quantum chaos and the upper one defined by causality and hydrodynamics exactly coincide, determining uniquely the diffusion constant. Finally, we comment on the meaning and universality of this newly proposed prescription. |
hep-th/9803109 | Alexandros Kechagias | S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni | Membranes and Fivebranes with Lower Supersymmetry and their AdS
Supergravity Duals | 16 pages, latex | Phys.Lett. B431 (1998) 42-48 | 10.1016/S0370-2693(98)00558-9 | CERN-TH/98-79 | hep-th | null | We consider superconformal field theories in three and six dimensions with
eight supercharges which can be realized on the world-volume of M-theory branes
sitting at orbifold singularities. We find that they should admit a N=4 and N=2
supergravity dual in AdS_4 and AdS_7, respectively. We discuss the
characteristics of the corresponding gauged supergravities.
| [
{
"created": "Thu, 12 Mar 1998 23:49:09 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ferrara",
"S.",
""
],
[
"Kehagias",
"A.",
""
],
[
"Partouche",
"H.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | We consider superconformal field theories in three and six dimensions with eight supercharges which can be realized on the world-volume of M-theory branes sitting at orbifold singularities. We find that they should admit a N=4 and N=2 supergravity dual in AdS_4 and AdS_7, respectively. We discuss the characteristics of the corresponding gauged supergravities. |
hep-th/0311096 | Mohamed Chabab | Mohamed Chabab, and Latifa Sanhaji (LPHEA, Cadi Ayyad Univ.,
Marrakech) | Confinement in SU(N_c) gauge theory with a massive dilaton | Latex, 07 pages | null | null | LPHEA /03-10 | hep-th | null | Following a recently proposed confinement generating scenario \cite{Di}, we
provide a new string inspired model with a massive dilaton and a general
dilaton-gluon coupling. By solving analytically the equations of motion, we
derive a new class of confining interquark potentials, which includes most of
the QCD motivated potential forms given in the literature.
| [
{
"created": "Tue, 11 Nov 2003 16:05:44 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Chabab",
"Mohamed",
"",
"LPHEA, Cadi Ayyad Univ.,\n Marrakech"
],
[
"Sanhaji",
"Latifa",
"",
"LPHEA, Cadi Ayyad Univ.,\n Marrakech"
]
] | Following a recently proposed confinement generating scenario \cite{Di}, we provide a new string inspired model with a massive dilaton and a general dilaton-gluon coupling. By solving analytically the equations of motion, we derive a new class of confining interquark potentials, which includes most of the QCD motivated potential forms given in the literature. |
2107.04500 | Tung Tran | Tung Tran | Twistor Constructions for Higher-spin Extensions of (Self-dual)
Yang-Mills | 25 pages. v2: corrections, changed title, improved presentation | null | 10.1007/JHEP11(2021)117 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present the inverse Penrose transform (the map from spacetime to twistor
space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat
background. The twistor action for the higher-spin extension of SDYM (HS-SDYM)
is of BF-type. By considering a deformation away from the self-dual sector of
HS-SDYM, we discover a new action that describes a higher-spin extension of
Yang-Mills theory (HS-YM). The twistor action for HS-YM is a straightforward
generalization of the Yang-Mills one.
| [
{
"created": "Fri, 9 Jul 2021 15:40:58 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Oct 2021 10:59:35 GMT",
"version": "v2"
}
] | 2021-12-01 | [
[
"Tran",
"Tung",
""
]
] | We present the inverse Penrose transform (the map from spacetime to twistor space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat background. The twistor action for the higher-spin extension of SDYM (HS-SDYM) is of BF-type. By considering a deformation away from the self-dual sector of HS-SDYM, we discover a new action that describes a higher-spin extension of Yang-Mills theory (HS-YM). The twistor action for HS-YM is a straightforward generalization of the Yang-Mills one. |
0804.0651 | Ashoke Sen | Ashoke Sen | U-duality Invariant Dyon Spectrum in type II on T^6 | LaTeX file, 9 pages; minor corrections | JHEP 0808:037,2008 | 10.1088/1126-6708/2008/08/037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a manifestly U-duality invariant formula for the degeneracy of 1/8
BPS dyons in type II string theory on T^6 for a U-duality invariant subset of
charge vectors. Besides depending on the Cremmer-Julia invariant the degeneracy
also depends on other discrete invariants of E_{7(7)}(Z).
| [
{
"created": "Fri, 4 Apr 2008 16:10:34 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Apr 2008 06:58:00 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jul 2009 13:20:12 GMT",
"version": "v3"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We give a manifestly U-duality invariant formula for the degeneracy of 1/8 BPS dyons in type II string theory on T^6 for a U-duality invariant subset of charge vectors. Besides depending on the Cremmer-Julia invariant the degeneracy also depends on other discrete invariants of E_{7(7)}(Z). |
hep-th/9803053 | Shiraz Minwalla | Shiraz Minwalla | Particles on AdS_{4/7} and Primary Operators on M_{2/5} Brane
Worldvolumes | 10 pages, harvmac, no figures : v2 changes in presentation, reference
added :v3 further changes in presentation, reference added | JHEP 9810:002,1998 | 10.1088/1126-6708/1998/10/002 | PUPT-1773 | hep-th | null | 1 identify a correspondence between the various spherical harmonic modes of
massless 11 dimensional fields propagating on the $AdS_{4/7}$ in an $AdS_{4/7}
\times S^{7\4}$ compactification of M theory, and the corresponding operators,
primary under the conformal group, on the world volume of $M_2,M_5$ branes.
This is achieved by matching representations of the superconformal algebra on
the two sides of the correspondence.
| [
{
"created": "Thu, 5 Mar 1998 23:58:07 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 1998 15:15:59 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Oct 1998 15:52:50 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Minwalla",
"Shiraz",
""
]
] | 1 identify a correspondence between the various spherical harmonic modes of massless 11 dimensional fields propagating on the $AdS_{4/7}$ in an $AdS_{4/7} \times S^{7\4}$ compactification of M theory, and the corresponding operators, primary under the conformal group, on the world volume of $M_2,M_5$ branes. This is achieved by matching representations of the superconformal algebra on the two sides of the correspondence. |
hep-th/9301092 | B. Jurco | B. Jurco | More on quantum groups from the the quantization point of view | 18 pages | Commun.Math.Phys. 166 (1994) 63-78 | 10.1007/BF02099301 | null | hep-th math.QA | null | Star products on the classical double group of a simple Lie group and on
corresponding symplectic grupoids are given so that the quantum double and the
"quantized tangent bundle" are obtained in the deformation description.
"Complex" quantum groups and bicovariant quantum Lie algebras are discused from
this point of view. Further we discuss the quantization of the Poisson
structure on symmetric algebra $S(g)$ leading to the quantized enveloping
algebra $U_{h}(g)$ as an example of biquantization in the sense of Turaev.
Description of $U_{h}(g)$ in terms of the generators of the bicovariant
differential calculus on $F(G_q)$ is very convenient for this purpose. Finally
we interpret in the deformation framework some well known properties of compact
quantum groups as simple consequences of corresponding properties of classical
compact Lie groups. An analogue of the classical Kirillov's universal character
formula is given for the unitary irreducible representation in the compact
case.
| [
{
"created": "Fri, 22 Jan 1993 11:55:05 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Jurco",
"B.",
""
]
] | Star products on the classical double group of a simple Lie group and on corresponding symplectic grupoids are given so that the quantum double and the "quantized tangent bundle" are obtained in the deformation description. "Complex" quantum groups and bicovariant quantum Lie algebras are discused from this point of view. Further we discuss the quantization of the Poisson structure on symmetric algebra $S(g)$ leading to the quantized enveloping algebra $U_{h}(g)$ as an example of biquantization in the sense of Turaev. Description of $U_{h}(g)$ in terms of the generators of the bicovariant differential calculus on $F(G_q)$ is very convenient for this purpose. Finally we interpret in the deformation framework some well known properties of compact quantum groups as simple consequences of corresponding properties of classical compact Lie groups. An analogue of the classical Kirillov's universal character formula is given for the unitary irreducible representation in the compact case. |
hep-th/0107058 | Oscar Wallace Greenberg | O.W. Greenberg and J.D. Delgado | Construction of bosons and fermions out of quons | Latex, 11 pages, no figures; minor editorial change | Phys. Lett. A 288, 139 (2001) | 10.1016/S0375-9601(01)00552-7 | UMPP 01-064 | hep-th hep-ph math-ph math.MP quant-ph | null | The quon algebra describes particles, ``quons,'' that are neither fermions
nor bosons, using a label $q$ that parametrizes a smooth interpolation between
bosons ($q = 1$) and fermions ($q = -1$). Understanding the relation of quons
on the one side and bosons or fermions on the other can shed light on the
different properties of these two kinds of operators and the statistics which
they carry. In particular, local bilinear observables can be constructed from
bosons and fermions, but not from quons. In this paper we construct bosons and
fermions from quon operators. For bosons, our construction works for $-1 \leq q
\leq 1$. The case $q=-1$ is paradoxical, since that case makes a boson out of
fermions, which would seem to be impossible. None the less, when the limit $q
\to -1$ is taken from above, the construction works. For fermions, the
analogous construction works for $-1 \leq q \leq 1$, which includes the
paradoxical case $q=1$.
| [
{
"created": "Fri, 6 Jul 2001 22:08:33 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2001 18:33:42 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Greenberg",
"O. W.",
""
],
[
"Delgado",
"J. D.",
""
]
] | The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons, using a label $q$ that parametrizes a smooth interpolation between bosons ($q = 1$) and fermions ($q = -1$). Understanding the relation of quons on the one side and bosons or fermions on the other can shed light on the different properties of these two kinds of operators and the statistics which they carry. In particular, local bilinear observables can be constructed from bosons and fermions, but not from quons. In this paper we construct bosons and fermions from quon operators. For bosons, our construction works for $-1 \leq q \leq 1$. The case $q=-1$ is paradoxical, since that case makes a boson out of fermions, which would seem to be impossible. None the less, when the limit $q \to -1$ is taken from above, the construction works. For fermions, the analogous construction works for $-1 \leq q \leq 1$, which includes the paradoxical case $q=1$. |
hep-th/9207030 | Thomas Larsson | T. A. Larsson | Vect(N) conformal fields and their exterior derivatives | 17 pages | null | null | null | hep-th | null | Conformal fields are a recently discovered class of representations of the
algebra of vector fields in $N$ dimensions. Invariant first-order differential
operators (exterior derivatives) for conformal fields are constructed.
| [
{
"created": "Thu, 9 Jul 1992 21:05:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Larsson",
"T. A.",
""
]
] | Conformal fields are a recently discovered class of representations of the algebra of vector fields in $N$ dimensions. Invariant first-order differential operators (exterior derivatives) for conformal fields are constructed. |
hep-th/0008067 | Masoud Alimohammadi | M. Alimohammadi, M. Khorrami | On the phase structure of two--dimensional generalized Yang--Mills
theories | 14 pages, LaTex, one paragraph is added to introduction section, to
describe the 5/2 phase transition, accepted for publication in Nucl. Phys. B
(2001) | Nucl.Phys. B597 (2001) 652 | 10.1016/S0550-3213(00)00730-6 | null | hep-th | null | The phase structure of the generalized Yang--Mills theories is studied, and
it is shown that {\it almost} always, it is of the third order. As a specific
example, it is shown that all of the models with the interaction $\sum_j
(n_j-j+N)^{2k}$ exhibit third order phase transition. ($n_j$ is the length of
the $j$-th row of the Yang tableau corresponding to U($N$).) The special cases
where the transition is not of the third order are also considered and, as a
specific example, it is shown that the model $\sum_j (n_j-j+N)^2+g\sum_j
(n_j-j+N)^{4}$ exhibits a third order phase transition, except for
$g=27\pi^2/256$, where the order of the transition is 5/2.
| [
{
"created": "Tue, 8 Aug 2000 10:54:13 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2000 09:47:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Alimohammadi",
"M.",
""
],
[
"Khorrami",
"M.",
""
]
] | The phase structure of the generalized Yang--Mills theories is studied, and it is shown that {\it almost} always, it is of the third order. As a specific example, it is shown that all of the models with the interaction $\sum_j (n_j-j+N)^{2k}$ exhibit third order phase transition. ($n_j$ is the length of the $j$-th row of the Yang tableau corresponding to U($N$).) The special cases where the transition is not of the third order are also considered and, as a specific example, it is shown that the model $\sum_j (n_j-j+N)^2+g\sum_j (n_j-j+N)^{4}$ exhibits a third order phase transition, except for $g=27\pi^2/256$, where the order of the transition is 5/2. |
2106.06322 | Aleksei Shishmarev | A. I. Breev, S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev | Vacuum instability in time-dependent electric fields. New example of
exactly solvable case | 27 pages, 7 figures, some minor changes introduced | Phys. Rev. D 104, 076008 (2021) | 10.1103/PhysRevD.104.076008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new exactly solvable case in strong-field quantum electrodynamics with a
time-dependent external electric field is presented. The corresponding field is
given by an analytic function, which is asymmetric (in contrast to Sauter-like
electric field) with respect to the time instant, where it reaches its maximum
value, that is why we call it the analytic asymmetric electric field. We
managed to exactly solve the Dirac equation with such a field, which made it
possible to calculate characteristics of the corresponding vacuum instability
nonperturbatively. We construct the so-called in- and out-solutions and with
their help calculate mean differential and total numbers of created charged
particles, probability of the vacuum to remain a vacuum, vacuum mean values of
current density and energy-momentum tensor of the particles. We study the
vacuum instability in regimes of rapidly and slowly changing analytic
asymmetric electric field, and compare the obtained results with corresponding
ones obtained earlier for the case of the symmetric Sauter-like electric field.
We also compare exact results in the regime of slowly changing field with
corresponding results obtained within the slowly varying field approximation
recently proposed by two of the authors, thus demonstrating the effectiveness
of such an approximation.
| [
{
"created": "Fri, 11 Jun 2021 11:41:29 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jun 2021 09:03:50 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jun 2021 08:01:10 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Jun 2021 08:03:12 GMT",
"version": "v4"
}
] | 2021-10-13 | [
[
"Breev",
"A. I.",
""
],
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shishmarev",
"A. A.",
""
]
] | A new exactly solvable case in strong-field quantum electrodynamics with a time-dependent external electric field is presented. The corresponding field is given by an analytic function, which is asymmetric (in contrast to Sauter-like electric field) with respect to the time instant, where it reaches its maximum value, that is why we call it the analytic asymmetric electric field. We managed to exactly solve the Dirac equation with such a field, which made it possible to calculate characteristics of the corresponding vacuum instability nonperturbatively. We construct the so-called in- and out-solutions and with their help calculate mean differential and total numbers of created charged particles, probability of the vacuum to remain a vacuum, vacuum mean values of current density and energy-momentum tensor of the particles. We study the vacuum instability in regimes of rapidly and slowly changing analytic asymmetric electric field, and compare the obtained results with corresponding ones obtained earlier for the case of the symmetric Sauter-like electric field. We also compare exact results in the regime of slowly changing field with corresponding results obtained within the slowly varying field approximation recently proposed by two of the authors, thus demonstrating the effectiveness of such an approximation. |
1809.06376 | Marc-Antoine Fiset | Marc-Antoine Fiset | Superconformal algebras for twisted connected sums and $G_2$ mirror
symmetry | 29 pages | null | 10.1007/JHEP12(2018)011 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We realise the Shatashvili-Vafa superconformal algebra for $G_2$ string
compactifications by combining Odake and free conformal algebras following
closely the recent mathematical construction of twisted connected sum $G_2$
holonomy manifolds. By considering automorphisms of this realisation, we
identify stringy analogues of two mirror maps proposed by Braun and Del Zotto
for these manifolds.
| [
{
"created": "Mon, 17 Sep 2018 18:00:01 GMT",
"version": "v1"
}
] | 2018-12-24 | [
[
"Fiset",
"Marc-Antoine",
""
]
] | We realise the Shatashvili-Vafa superconformal algebra for $G_2$ string compactifications by combining Odake and free conformal algebras following closely the recent mathematical construction of twisted connected sum $G_2$ holonomy manifolds. By considering automorphisms of this realisation, we identify stringy analogues of two mirror maps proposed by Braun and Del Zotto for these manifolds. |
hep-th/0006132 | Alexander Polyakov | A.M. Polyakov | String theory as a universal language | 19 pages | Phys.Atom.Nucl. 64 (2001) 540-547; Yad.Fiz. 64 (2001) 594-601 | 10.1134/1.1358479 | PUPT-1939 | hep-th | null | This article, based on the Klein lecture, contains some new results and new
speculations on various topics. They include discussion of open strings in the
AdS space, unusual features of D-branes, conformal gauge theories in higher
dimensions. We also comment on the infrared screening of the cosmological
constant and on the "brane worlds"
| [
{
"created": "Mon, 19 Jun 2000 01:15:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Polyakov",
"A. M.",
""
]
] | This article, based on the Klein lecture, contains some new results and new speculations on various topics. They include discussion of open strings in the AdS space, unusual features of D-branes, conformal gauge theories in higher dimensions. We also comment on the infrared screening of the cosmological constant and on the "brane worlds" |
2211.11291 | Qian Chen | Qian Chen, Yuxuan Liu, Yu Tian, Xiaoning Wu, Hongbao Zhang | Quench Dynamics in Holographic First-Order Phase Transition | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate the real-time dynamics of quenching a state from
phase separation in a holographic model of first-order phase transition. In
addition to the typical phase-separated and high-energy final states, we have
discovered a novel dynamical process that drives the system to a
low-temperature supercooled final state within a narrow range of quench
parameters. The critical behavior is also revealed during the fully non-linear
dynamics. Following a sudden quench with critical parameters, the phase
separation can be attracted to a critical nucleus. Specifically, the critical
nucleus will subsequently shrink in size and eventually disappear for
super-critical parameters, where the system is actually supercooled with a
temperature lower than the initial one. While for sub-critical parameters, the
nucleus will grow in size and finally reform a phase separation, where the
absorbed quenching energy is reflected in the increment of the latent heat.
| [
{
"created": "Mon, 21 Nov 2022 09:33:29 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2023 13:41:15 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Jan 2024 09:32:36 GMT",
"version": "v3"
}
] | 2024-01-09 | [
[
"Chen",
"Qian",
""
],
[
"Liu",
"Yuxuan",
""
],
[
"Tian",
"Yu",
""
],
[
"Wu",
"Xiaoning",
""
],
[
"Zhang",
"Hongbao",
""
]
] | In this work, we investigate the real-time dynamics of quenching a state from phase separation in a holographic model of first-order phase transition. In addition to the typical phase-separated and high-energy final states, we have discovered a novel dynamical process that drives the system to a low-temperature supercooled final state within a narrow range of quench parameters. The critical behavior is also revealed during the fully non-linear dynamics. Following a sudden quench with critical parameters, the phase separation can be attracted to a critical nucleus. Specifically, the critical nucleus will subsequently shrink in size and eventually disappear for super-critical parameters, where the system is actually supercooled with a temperature lower than the initial one. While for sub-critical parameters, the nucleus will grow in size and finally reform a phase separation, where the absorbed quenching energy is reflected in the increment of the latent heat. |
hep-th/9309054 | null | J.M. Prats | An Alternative Perturbative Expansion in Quantum Mechanics. Scaling and
cut-off Resummation | 16 pages, tex file, report RU93-3-B | Annals Phys. 239 (1995) 22-39 | 10.1006/aphy.1995.1029 | null | hep-th hep-ph | null | An alternative perturbative expansion in quantum mechanics which allows a
full expression of the scaling arbitrariness is introduced. This expansion is
examined in the case of the anharmonic oscillator and is conveniently resummed
using a method which consists in introducing an energy cut-off that is
carefully removed as the order of the expansion is increased. We illustrate
this technique numerically by computing the asymptotic behavior of the ground
state energy of the anharmonic oscillator for large couplings, and show how the
exploitation of the scaling arbitrariness substantially improves the
convergence of this perturbative expansion.
| [
{
"created": "Thu, 9 Sep 1993 16:53:29 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Prats",
"J. M.",
""
]
] | An alternative perturbative expansion in quantum mechanics which allows a full expression of the scaling arbitrariness is introduced. This expansion is examined in the case of the anharmonic oscillator and is conveniently resummed using a method which consists in introducing an energy cut-off that is carefully removed as the order of the expansion is increased. We illustrate this technique numerically by computing the asymptotic behavior of the ground state energy of the anharmonic oscillator for large couplings, and show how the exploitation of the scaling arbitrariness substantially improves the convergence of this perturbative expansion. |
1109.4366 | Rafael I. Nepomechie | Rafael I. Nepomechie | Revisiting the Y=0 open spin chain at one loop | 16 pages | null | 10.1007/JHEP11(2011)069 | UMTG-272 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 2005, Berenstein and Vazquez determined an open spin chain Hamiltonian
describing the one-loop anomalous dimensions of determinant-like operators
corresponding to open strings attached to Y=0 maximal giant gravitons. We
construct the transfer matrix (generating functional of conserved quantities)
containing this Hamiltonian, thereby directly proving its integrability. We
find the eigenvalues of this transfer matrix and the corresponding Bethe
equations, which we compare with proposed all-loop Bethe equations. We note
that the Bethe ansatz solution has a certain "gauge" freedom, and is not
completely unique.
| [
{
"created": "Tue, 20 Sep 2011 17:19:39 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Nepomechie",
"Rafael I.",
""
]
] | In 2005, Berenstein and Vazquez determined an open spin chain Hamiltonian describing the one-loop anomalous dimensions of determinant-like operators corresponding to open strings attached to Y=0 maximal giant gravitons. We construct the transfer matrix (generating functional of conserved quantities) containing this Hamiltonian, thereby directly proving its integrability. We find the eigenvalues of this transfer matrix and the corresponding Bethe equations, which we compare with proposed all-loop Bethe equations. We note that the Bethe ansatz solution has a certain "gauge" freedom, and is not completely unique. |
1511.01104 | Christoph Adam | C. Adam, M. Haberichter, A. Wereszczynski | The volume of a soliton | 16 pages, LaTex, no figures; published version; a discussion section
and some references added | Phys. Lett. B754 (2016) 18-25 | 10.1016/j.physletb.2016.01.009 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There exists, in general, no unique definition of the size (volume, area,
etc., depending on dimension) of a soliton. Here we demonstrate that the
geometric volume (area etc.) of a soliton is singled out in the sense that it
exactly coincides with the thermodynamical or continuum-mechanical volume. In
addition, this volume may be defined uniquely for rather arbitrary solitons in
arbitrary dimensions.
| [
{
"created": "Tue, 3 Nov 2015 21:00:08 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2016 15:31:32 GMT",
"version": "v2"
}
] | 2016-04-26 | [
[
"Adam",
"C.",
""
],
[
"Haberichter",
"M.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a soliton is singled out in the sense that it exactly coincides with the thermodynamical or continuum-mechanical volume. In addition, this volume may be defined uniquely for rather arbitrary solitons in arbitrary dimensions. |
hep-th/0112196 | Nelson R. F. Braga | Henrique Boschi-Filho and Nelson R. F. Braga | Compact AdS space, Brane geometry and the AdS/CFT correspondence | 10 pages, no figures. Small changes in text and typos corrected | Phys.Rev.D66:025005,2002 | 10.1103/PhysRevD.66.025005 | null | hep-th | null | The AdS/CFT correspondence can be realized in spaces that are globally
different but share the same asymptotic behavior. Two known cases are: a
compact AdS space and the space generated by a large number of coincident
branes. We discuss the physical consistency, in the sense of the Cauchy
problem, of these two formulations. We show that the role of the boundary in
the compact AdS space is equivalent to that of the flat asymptotic region in
the brane space. We also show, by introducing a second coordinate chart for the
pure AdS space, that a point at its spatial infinity corresponds to a horizon
in the brane system.
| [
{
"created": "Thu, 20 Dec 2001 15:29:27 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2002 21:14:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Boschi-Filho",
"Henrique",
""
],
[
"Braga",
"Nelson R. F.",
""
]
] | The AdS/CFT correspondence can be realized in spaces that are globally different but share the same asymptotic behavior. Two known cases are: a compact AdS space and the space generated by a large number of coincident branes. We discuss the physical consistency, in the sense of the Cauchy problem, of these two formulations. We show that the role of the boundary in the compact AdS space is equivalent to that of the flat asymptotic region in the brane space. We also show, by introducing a second coordinate chart for the pure AdS space, that a point at its spatial infinity corresponds to a horizon in the brane system. |
2203.03592 | Nicolas Pavao | John Joseph M. Carrasco, Matthew Lewandowski, and Nicolas H. Pavao | The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity | v3: Matches version accepted for publication. v2: Minor
clarifications re: consequences for R^3 construction and nomenclature re:
Einstein-Weyl gravities. v1: 6 pages, 1 figure | null | 10.1103/PhysRevLett.131.051601 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We find that the duality between color and kinematics can be used to inform
the high energy behavior of effective field theories. Namely, we demonstrate
that the massless gauge theory of Yang-Mills deformed by a higher-derivative
$F^3$ operator cannot be tree-level color-dual while consistently factorizing
without a tower of additional four-point counterterms with rigidly fixed Wilson
coefficients that reaches to the ultraviolet (UV). We find through explicit
calculation a suggestive resummation, namely that their amplitudes are
consistent with the $\alpha'$ expansion of those generated by the
$(DF)^2+\text{YM}$ theory, a known color-dual theory where the $F^2$ term has
been given a mass squared proportional to $1 / \alpha'$. As a result,
considering consistent double-copy construction as a physical principle implies
that an $F^3$-based color-dual resolution of the UV divergence in
$\mathcal{N}=4$ supergravity comes at the cost of field-theoretic locality.
Similarly, when double-copying $F^3$ with itself, double-copy consistency lifts
$R^3$ gravity to a family of gravity theories with an all-order tower of
higher-derivative corrections, which includes the closed bosonic string as a
standard adjoint-type double-copy.
| [
{
"created": "Mon, 7 Mar 2022 18:40:54 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2023 21:01:57 GMT",
"version": "v2"
},
{
"created": "Sat, 7 Oct 2023 20:06:36 GMT",
"version": "v3"
}
] | 2023-10-10 | [
[
"Carrasco",
"John Joseph M.",
""
],
[
"Lewandowski",
"Matthew",
""
],
[
"Pavao",
"Nicolas H.",
""
]
] | We find that the duality between color and kinematics can be used to inform the high energy behavior of effective field theories. Namely, we demonstrate that the massless gauge theory of Yang-Mills deformed by a higher-derivative $F^3$ operator cannot be tree-level color-dual while consistently factorizing without a tower of additional four-point counterterms with rigidly fixed Wilson coefficients that reaches to the ultraviolet (UV). We find through explicit calculation a suggestive resummation, namely that their amplitudes are consistent with the $\alpha'$ expansion of those generated by the $(DF)^2+\text{YM}$ theory, a known color-dual theory where the $F^2$ term has been given a mass squared proportional to $1 / \alpha'$. As a result, considering consistent double-copy construction as a physical principle implies that an $F^3$-based color-dual resolution of the UV divergence in $\mathcal{N}=4$ supergravity comes at the cost of field-theoretic locality. Similarly, when double-copying $F^3$ with itself, double-copy consistency lifts $R^3$ gravity to a family of gravity theories with an all-order tower of higher-derivative corrections, which includes the closed bosonic string as a standard adjoint-type double-copy. |
1612.08956 | Jaewon Song | Jaewon Song | Macdonald Index and Chiral Algebra | 25 pages, v2: major revision. Clarified the prescription to get the
Macdonald grading; v3: corrected hyperlinks to the references. To appear in
JHEP | null | 10.1007/JHEP08(2017)044 | null | hep-th math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra.
The vacuum character of the chiral algebra reproduces the Schur index of the
corresponding 4d theory. The Macdonald index counts the same set of operators
as the Schur index, but the former has one more fugacity than the latter. We
conjecture a prescription to obtain the Macdonald index from the chiral
algebra. The vacuum module admits a filtration, from which we construct an
associated graded vector space. From this grading, we conjecture a notion of
refined character for the vacuum module of a chiral algebra, which reproduces
the Macdonald index. We test this prescription for the Argyres-Douglas theories
of type $(A_1, A_{2n})$ and $(A_1, D_{2n+1})$ where the chiral algebras are
given by Virasoro and su(2) affine Kac-Moody algebra. When the chiral algebra
has more than one family of generators, our prescription requires a knowledge
of the generators from the 4d.
| [
{
"created": "Wed, 28 Dec 2016 19:25:42 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2017 13:34:19 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Aug 2017 14:02:05 GMT",
"version": "v3"
}
] | 2017-09-13 | [
[
"Song",
"Jaewon",
""
]
] | For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra. The vacuum character of the chiral algebra reproduces the Schur index of the corresponding 4d theory. The Macdonald index counts the same set of operators as the Schur index, but the former has one more fugacity than the latter. We conjecture a prescription to obtain the Macdonald index from the chiral algebra. The vacuum module admits a filtration, from which we construct an associated graded vector space. From this grading, we conjecture a notion of refined character for the vacuum module of a chiral algebra, which reproduces the Macdonald index. We test this prescription for the Argyres-Douglas theories of type $(A_1, A_{2n})$ and $(A_1, D_{2n+1})$ where the chiral algebras are given by Virasoro and su(2) affine Kac-Moody algebra. When the chiral algebra has more than one family of generators, our prescription requires a knowledge of the generators from the 4d. |
1903.05944 | Naoki Sasakura | Luca Lionni, Naoki Sasakura | A random matrix model with non-pairwise contracted indices | 42 pages, many figures | Prog Theor Exp Phys (2019) | 10.1093/ptep/ptz057 | YITP-19-17 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a random matrix model with both pairwise and non-pairwise
contracted indices. The partition function of the matrix model is similar to
that appearing in some replicated systems with random tensor couplings, such as
the p-spin spherical model for the spin glass. We analyze the model using
Feynman diagrammatic expansions, and provide an exhaustive characterization of
the graphs which dominate when the dimensions of the pairwise and (or)
non-pairwise contracted indices are large. We apply this to investigate the
properties of the wave function of a toy model closely related to a tensor
model in the Hamilton formalism, which is studied in a quantum gravity context,
and obtain a result in favor of the consistency of the quantum probabilistic
interpretation of this tensor model.
| [
{
"created": "Thu, 14 Mar 2019 12:41:05 GMT",
"version": "v1"
}
] | 2019-12-06 | [
[
"Lionni",
"Luca",
""
],
[
"Sasakura",
"Naoki",
""
]
] | We consider a random matrix model with both pairwise and non-pairwise contracted indices. The partition function of the matrix model is similar to that appearing in some replicated systems with random tensor couplings, such as the p-spin spherical model for the spin glass. We analyze the model using Feynman diagrammatic expansions, and provide an exhaustive characterization of the graphs which dominate when the dimensions of the pairwise and (or) non-pairwise contracted indices are large. We apply this to investigate the properties of the wave function of a toy model closely related to a tensor model in the Hamilton formalism, which is studied in a quantum gravity context, and obtain a result in favor of the consistency of the quantum probabilistic interpretation of this tensor model. |
hep-th/0105056 | Hiroshige Kajiura | Hiroshige Kajiura | T-Duality Group for Open String Theory | Latex 14 pages; typos corrected, interpretation and references added,
equations unchanged | null | null | UTMS 2001-12 | hep-th | null | We study T-duality for open strings on tori $\T^d$. The general boundary
conditions for the open strings are constructed, and it is shown that T-duality
group, which preserves the mass spectrum of closed strings, preserves also the
mass spectrum of the open strings. The open strings are transformed to those
with different boundary conditions by T-duality. We also discuss the T-duality
for D-brane mass spectrum, and show that the D-branes and the open strings with
both ends on them are transformed together consistently.
| [
{
"created": "Mon, 7 May 2001 11:30:03 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2001 14:43:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kajiura",
"Hiroshige",
""
]
] | We study T-duality for open strings on tori $\T^d$. The general boundary conditions for the open strings are constructed, and it is shown that T-duality group, which preserves the mass spectrum of closed strings, preserves also the mass spectrum of the open strings. The open strings are transformed to those with different boundary conditions by T-duality. We also discuss the T-duality for D-brane mass spectrum, and show that the D-branes and the open strings with both ends on them are transformed together consistently. |
0912.1729 | Eugene Loginov | E.K. Loginov | Spontaneous compactification and nonassociativity | 17 pages, LaTeX, no figures | Phys.Rev.D80:124009,2009 | 10.1103/PhysRevD.80.124009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Freund-Rubin-Englert mechanism of compactification of N=1
supergravity in 11 dimensions. We systematically investigate both well-known
and some new solutions of the classical equations of motion in 11 dimensions.
In particular, we show that any threeform potential in 11 dimension is given
locally by the structure constants of a geodesic loop in an affinely connected
space.
| [
{
"created": "Wed, 9 Dec 2009 11:57:26 GMT",
"version": "v1"
}
] | 2010-03-16 | [
[
"Loginov",
"E. K.",
""
]
] | We consider the Freund-Rubin-Englert mechanism of compactification of N=1 supergravity in 11 dimensions. We systematically investigate both well-known and some new solutions of the classical equations of motion in 11 dimensions. In particular, we show that any threeform potential in 11 dimension is given locally by the structure constants of a geodesic loop in an affinely connected space. |
0808.2538 | Akiko Miyake | Junji Kato, Akiko Miyake | Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions | 25 pages, no figures, minor typos corrected and one reference added | JHEP 0903:087,2009 | 10.1088/1126-6708/2009/03/087 | EPHOU-08-004 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new off-shell twisted hypermultiplet with a scalar and an
anti-self-dual tensor superfields. Using the N=2 twisted superspace formalism,
we construct a Donaldson-Witten theory coupled to the hypermultiplet. We show
that this action possesses the Vafa-Witten type N=4 twisted supersymmetry at
the on-shell level. We also reconstruct the action using a N=4 twisted
superconnection formalism.
| [
{
"created": "Tue, 19 Aug 2008 07:46:51 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Aug 2008 05:34:12 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Kato",
"Junji",
""
],
[
"Miyake",
"Akiko",
""
]
] | We construct a new off-shell twisted hypermultiplet with a scalar and an anti-self-dual tensor superfields. Using the N=2 twisted superspace formalism, we construct a Donaldson-Witten theory coupled to the hypermultiplet. We show that this action possesses the Vafa-Witten type N=4 twisted supersymmetry at the on-shell level. We also reconstruct the action using a N=4 twisted superconnection formalism. |
2105.12857 | Kanghoon Lee | Stephen Angus, Kyoungho Cho and Kanghoon Lee | The Classical Double Copy for Half-Maximal Supergravities and T-duality | 36 pages, 1 figure | null | 10.1007/JHEP10(2021)211 | APCTP Pre2021 - 010 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the classical double copy for ungauged half-maximal supergravities
using the Kaluza-Klein reduction of double field theory (DFT). We construct a
general formula for the Kaluza-Klein (KK) reduction of the DFT Kerr-Schild
ansatz. The KK reduction of the ansatz is highly nonlinear, but the associated
equations of motion are linear. This linear structure implies that half-maximal
supergravities admit a classical double copy. We show that their single copy is
given by a pair of Maxwell-scalar theories, which are the KK reduction of a
higher-dimensional single copy of DFT. We also investigate their T-duality
transformations - both the Buscher rule and continuous O(D,D) rotations.
Applying the Buscher rule to the Kerr BH, we obtain a solution with a
nontrivial Kalb-Ramond field and dilaton. We also identify the single copy of
Sen's heterotic BH and the chiral null model and show that the chiral null
model is self-dual under T-duality rotations.
| [
{
"created": "Wed, 26 May 2021 21:52:25 GMT",
"version": "v1"
}
] | 2021-11-17 | [
[
"Angus",
"Stephen",
""
],
[
"Cho",
"Kyoungho",
""
],
[
"Lee",
"Kanghoon",
""
]
] | We study the classical double copy for ungauged half-maximal supergravities using the Kaluza-Klein reduction of double field theory (DFT). We construct a general formula for the Kaluza-Klein (KK) reduction of the DFT Kerr-Schild ansatz. The KK reduction of the ansatz is highly nonlinear, but the associated equations of motion are linear. This linear structure implies that half-maximal supergravities admit a classical double copy. We show that their single copy is given by a pair of Maxwell-scalar theories, which are the KK reduction of a higher-dimensional single copy of DFT. We also investigate their T-duality transformations - both the Buscher rule and continuous O(D,D) rotations. Applying the Buscher rule to the Kerr BH, we obtain a solution with a nontrivial Kalb-Ramond field and dilaton. We also identify the single copy of Sen's heterotic BH and the chiral null model and show that the chiral null model is self-dual under T-duality rotations. |
hep-th/0108047 | Wang-Chang Su | Wang-Chang Su | Semiclassical Quantization of Hopf Solitons | 7 pages, LaTex | Phys.Lett.B525:201-204,2002 | 10.1016/S0370-2693(01)01453-8 | null | hep-th | null | The gauge equivalent formulation of the Faddeev-Skyrme model is used for the
study of the quantum theory. The rotational quantum excitations around the
soliton solution of Hopf number unity are investigated by the method of
collective coordinates. The quantum Hamiltonian of the system is found to
coincide with the Hamiltonian of a symmetrical top rotating in SU(2). Thus, the
irreducible representations of physical observables can be constructed.
| [
{
"created": "Wed, 8 Aug 2001 03:37:53 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Su",
"Wang-Chang",
""
]
] | The gauge equivalent formulation of the Faddeev-Skyrme model is used for the study of the quantum theory. The rotational quantum excitations around the soliton solution of Hopf number unity are investigated by the method of collective coordinates. The quantum Hamiltonian of the system is found to coincide with the Hamiltonian of a symmetrical top rotating in SU(2). Thus, the irreducible representations of physical observables can be constructed. |
2401.08757 | Zhenghao Zhong | Antoine Bourget, Marcus Sperling and Zhenghao Zhong | Higgs branch RG-flows via Decay and Fission | 55 pages; v.2 added clarifications for sec 3.4 | null | null | UWThPh2024-4 | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Magnetic quivers have been an instrumental technique for advancing our
understanding of Higgs branches of supersymmetric theories with 8 supercharges.
In this work, we present the decay and fission algorithm for unitary magnetic
quivers. It enables the derivation of the complete phase (Hasse) diagram and is
characterised by the following key attributes: First and foremost, the
algorithm is inherently simple; just relying on convex linear algebra. Second,
any magnetic quiver can only undergo decay or fission processes; these reflect
the possible Higgs branch RG-flows (Higgsings), and the quivers thereby
generated are the magnetic quivers of the new RG fixed points. Third, the
geometry of the decay or fission transition (i.e. the transverse slice) is
simply read off. As a consequence, the algorithm does not rely on a complete
list of minimal transitions, but rather outputs the transverse slice geometry
automatically. As a proof of concept, its efficacy is showcased across various
scenarios, encompassing SCFTs from dimensions 3 to 6, instanton moduli spaces,
and little string theories.
| [
{
"created": "Tue, 16 Jan 2024 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2024 19:00:01 GMT",
"version": "v2"
}
] | 2024-02-16 | [
[
"Bourget",
"Antoine",
""
],
[
"Sperling",
"Marcus",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | Magnetic quivers have been an instrumental technique for advancing our understanding of Higgs branches of supersymmetric theories with 8 supercharges. In this work, we present the decay and fission algorithm for unitary magnetic quivers. It enables the derivation of the complete phase (Hasse) diagram and is characterised by the following key attributes: First and foremost, the algorithm is inherently simple; just relying on convex linear algebra. Second, any magnetic quiver can only undergo decay or fission processes; these reflect the possible Higgs branch RG-flows (Higgsings), and the quivers thereby generated are the magnetic quivers of the new RG fixed points. Third, the geometry of the decay or fission transition (i.e. the transverse slice) is simply read off. As a consequence, the algorithm does not rely on a complete list of minimal transitions, but rather outputs the transverse slice geometry automatically. As a proof of concept, its efficacy is showcased across various scenarios, encompassing SCFTs from dimensions 3 to 6, instanton moduli spaces, and little string theories. |
2212.04201 | Baishali Roy | Suchetan Das, Bobby Ezhuthachan, Arnab Kundu, Somnath Porey, Baishali
Roy, K. Sengupta | Brane Detectors of a Dynamical Phase Transition in a Driven CFT | 42 pages, 7 figures | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We show that a dynamical transition from a non-heating to a heating phase of
a periodic $SL(2,\mathbb{R})$ driven two-dimensional conformal field theory
(CFT) with a large central charge is perceived as a first order transition by a
bulk brane embedded in the dual AdS. We construct the dual bulk metric
corresponding to a driven CFT for both the heating and the non-heating phases.
These metrics are different AdS$_{2}$ slices of the pure AdS$_{3}$ metric. We
embed a brane in the obtained dual AdS space and provide an explicit
computation of its free energy both in the probe limit and for an end-of-world
(EOW) brane taking into account its backreaction. Our analysis indicates a
finite discontinuity in the first derivative of the brane free energy as one
moves from the non-heating to the heating phase (by tuning the drive amplitude
and/or frequency of the driven CFT) thus demonstrating the presence of the bulk
first order transition. Interestingly, no such transition is perceived by the
bulk in the absence of the brane. We also provide explicit computations of
two-point, four-point out-of-time correlators (OTOC) using the bulk picture.
Our analysis shows that the structure of these correlators in different phases
match their counterparts computed in the driven CFT. We analyze the effect of
multiple EOW branes in the bulk and discuss possible extensions of our work for
richer geometries and branes.
| [
{
"created": "Thu, 8 Dec 2022 11:29:55 GMT",
"version": "v1"
}
] | 2022-12-09 | [
[
"Das",
"Suchetan",
""
],
[
"Ezhuthachan",
"Bobby",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Porey",
"Somnath",
""
],
[
"Roy",
"Baishali",
""
],
[
"Sengupta",
"K.",
""
]
] | We show that a dynamical transition from a non-heating to a heating phase of a periodic $SL(2,\mathbb{R})$ driven two-dimensional conformal field theory (CFT) with a large central charge is perceived as a first order transition by a bulk brane embedded in the dual AdS. We construct the dual bulk metric corresponding to a driven CFT for both the heating and the non-heating phases. These metrics are different AdS$_{2}$ slices of the pure AdS$_{3}$ metric. We embed a brane in the obtained dual AdS space and provide an explicit computation of its free energy both in the probe limit and for an end-of-world (EOW) brane taking into account its backreaction. Our analysis indicates a finite discontinuity in the first derivative of the brane free energy as one moves from the non-heating to the heating phase (by tuning the drive amplitude and/or frequency of the driven CFT) thus demonstrating the presence of the bulk first order transition. Interestingly, no such transition is perceived by the bulk in the absence of the brane. We also provide explicit computations of two-point, four-point out-of-time correlators (OTOC) using the bulk picture. Our analysis shows that the structure of these correlators in different phases match their counterparts computed in the driven CFT. We analyze the effect of multiple EOW branes in the bulk and discuss possible extensions of our work for richer geometries and branes. |
hep-th/0011210 | Peter Horvathy | P. A. Horv\'athy | Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets | 4 pages, Plain Tex, no figures | J.Phys.A34:3079-3082,2001 | 10.1088/0305-4470/34/14/313 | null | hep-th math-ph math.MP | null | The dimensional reduction of the three-dimensional fermion-Chern-Simons model
(related to Hopf maps) of Adam et el. is shown to be equivalent to (i) either
the static, fixed--chirality sector of our non-relativistic spinor-Chern-Simons
model in 2+1 dimensions, (ii) or a particular Heisenberg ferromagnet in the
plane.
| [
{
"created": "Thu, 23 Nov 2000 16:21:11 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Horváthy",
"P. A.",
""
]
] | The dimensional reduction of the three-dimensional fermion-Chern-Simons model (related to Hopf maps) of Adam et el. is shown to be equivalent to (i) either the static, fixed--chirality sector of our non-relativistic spinor-Chern-Simons model in 2+1 dimensions, (ii) or a particular Heisenberg ferromagnet in the plane. |
1012.5109 | Joel Franklin | S. Deser | No local Maxwell duality invariance | Published version | Class.Quant.Grav.28:085009,2011 | 10.1088/0264-9381/28/8/085009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I show, in canonical formulation of flat space Maxwell theory, that its
duality rotation invariance must have constant parameter, cannot be promoted to
a local one by adding a compensating field, and that these conclusions hold in
the curved space Maxwell-Einstein extension.
| [
{
"created": "Wed, 22 Dec 2010 21:31:17 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2011 02:11:57 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Deser",
"S.",
""
]
] | I show, in canonical formulation of flat space Maxwell theory, that its duality rotation invariance must have constant parameter, cannot be promoted to a local one by adding a compensating field, and that these conclusions hold in the curved space Maxwell-Einstein extension. |
1711.08916 | Santiago Migliaccio | Santiago Migliaccio and Sylvain Ribault | The analytic bootstrap equations of non-diagonal two-dimensional CFT | 27 pages. Python code available at
https://github.com/ribault/bootstrap-2d-Python V2: Some clarifications
included. Added plot of spectrum | null | 10.1007/JHEP05(2018)169 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Under the assumption that degenerate fields exist, diagonal CFTs such as
Liouville theory can be solved analytically using the conformal bootstrap
method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose
primary fields have nonzero conformal spins. Assuming generic values of the
central charge, we find that the non-diagonal sector of the spectrum must be
parametrized by two integer numbers. We then derive and solve the equations
that determine how three- and four-point structure constants depend on these
numbers. In order to test these results, we numerically check crossing symmetry
of a class of four-point functions in a non-rational limit of D-series minimal
models. The simplest four-point functions in this class were previously argued
to describe connectivities of clusters in the critical Potts model.
| [
{
"created": "Fri, 24 Nov 2017 10:22:57 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2018 16:28:18 GMT",
"version": "v2"
}
] | 2018-07-04 | [
[
"Migliaccio",
"Santiago",
""
],
[
"Ribault",
"Sylvain",
""
]
] | Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose primary fields have nonzero conformal spins. Assuming generic values of the central charge, we find that the non-diagonal sector of the spectrum must be parametrized by two integer numbers. We then derive and solve the equations that determine how three- and four-point structure constants depend on these numbers. In order to test these results, we numerically check crossing symmetry of a class of four-point functions in a non-rational limit of D-series minimal models. The simplest four-point functions in this class were previously argued to describe connectivities of clusters in the critical Potts model. |
hep-th/9504145 | David R. Morrison | Brian R. Greene, David R. Morrison, and Andrew Strominger | Black Hole Condensation and the Unification of String Vacua | 15 pages, harvmac | Nucl.Phys.B451:109-120,1995 | 10.1016/0550-3213(95)00371-X | CLNS-95/1335 | hep-th | null | It is argued that black hole condensation can occur at conifold singularities
in the moduli space of type II Calabi--Yau string vacua. The condensate signals
a smooth transition to a new Calabi--Yau space with different Euler
characteristic and Hodge numbers. In this manner string theory unifies the
moduli spaces of many or possibly all Calabi--Yau vacua. Elementary string
states and black holes are smoothly interchanged under the transitions, and
therefore cannot be invariantly distinguished. Furthermore, the transitions
establish the existence of mirror symmetry for many or possibly all Calabi--Yau
manifolds.
| [
{
"created": "Thu, 27 Apr 1995 03:24:19 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 1995 04:33:56 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Greene",
"Brian R.",
""
],
[
"Morrison",
"David R.",
""
],
[
"Strominger",
"Andrew",
""
]
] | It is argued that black hole condensation can occur at conifold singularities in the moduli space of type II Calabi--Yau string vacua. The condensate signals a smooth transition to a new Calabi--Yau space with different Euler characteristic and Hodge numbers. In this manner string theory unifies the moduli spaces of many or possibly all Calabi--Yau vacua. Elementary string states and black holes are smoothly interchanged under the transitions, and therefore cannot be invariantly distinguished. Furthermore, the transitions establish the existence of mirror symmetry for many or possibly all Calabi--Yau manifolds. |
hep-th/0512212 | Hiroyuki Yoshiguchi | Hiroyuki Yoshiguchi, Shinji Mukohyama, Yuuiti Sendouda, Shunichiro
Kinoshita | Dynamical Stability of Six-dimensional Warped Flux Compactification | 46 pages, 8 figures. Version to appear in JCAP | JCAP0603:018,2006 | 10.1088/1475-7516/2006/03/018 | UTAP-547, RESCEU-40/05 | hep-th gr-qc hep-ph | null | We show the dynamical stability of a six-dimensional braneworld solution with
warped flux compactification recently found by the authors. We consider linear
perturbations around this background spacetime, assuming the axisymmetry in the
extra dimensions. The perturbations are expanded by scalar-, vector- and
tensor-type harmonics of the four-dimensional Minkoswki spacetime and we
analyze each type separately. It is found that there is no unstable mode in
each sector and that there are zero modes only in the tensor sector,
corresponding to the four-dimensional gravitons. We also obtain the first few
Kaluza-Klein modes in each sector.
| [
{
"created": "Mon, 19 Dec 2005 13:57:27 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 07:23:23 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Yoshiguchi",
"Hiroyuki",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Sendouda",
"Yuuiti",
""
],
[
"Kinoshita",
"Shunichiro",
""
]
] | We show the dynamical stability of a six-dimensional braneworld solution with warped flux compactification recently found by the authors. We consider linear perturbations around this background spacetime, assuming the axisymmetry in the extra dimensions. The perturbations are expanded by scalar-, vector- and tensor-type harmonics of the four-dimensional Minkoswki spacetime and we analyze each type separately. It is found that there is no unstable mode in each sector and that there are zero modes only in the tensor sector, corresponding to the four-dimensional gravitons. We also obtain the first few Kaluza-Klein modes in each sector. |
1404.0133 | Dr. Sudhaker Upadhyay | Sudhaker Upadhyay, Manoj Kumar Dwivedi (BHU) and Bhabani Prasad Mandal
(BHU) | A superspace description of Chern-Simons theory in Batalin-Vilkovisky
formulation | 9 Pages, Revtex, No Figs, Journal version, Published in International
Journal of Theoretical Physics | Int J Theor Phys 54, 2076 (2015) | 10.1007/s10773-014-2414-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the extended BRST and anti-BRST symmetry (including shift
symmetry) in the Batalin-Vilkovisky (BV) formulation for the Chern-Simons (CS)
theories in $(2+1)$ spacetime dimensions. Further we develop the superspace
description of BV formulation for such theories. Interestingly, the extended
BRST invariant CS theories can be described in superspace in covariant manner
with the help of one more (Grassmann) coordinate. However, a superspace with
two Grassmann coordinates are required for a manifestly covariant formulation
of the extended BRST and extended anti-BRST invariant actions for these
theories.
| [
{
"created": "Tue, 1 Apr 2014 05:47:13 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Dec 2014 10:56:14 GMT",
"version": "v2"
}
] | 2015-05-08 | [
[
"Upadhyay",
"Sudhaker",
"",
"BHU"
],
[
"Dwivedi",
"Manoj Kumar",
"",
"BHU"
],
[
"Mandal",
"Bhabani Prasad",
"",
"BHU"
]
] | We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for the Chern-Simons (CS) theories in $(2+1)$ spacetime dimensions. Further we develop the superspace description of BV formulation for such theories. Interestingly, the extended BRST invariant CS theories can be described in superspace in covariant manner with the help of one more (Grassmann) coordinate. However, a superspace with two Grassmann coordinates are required for a manifestly covariant formulation of the extended BRST and extended anti-BRST invariant actions for these theories. |
1009.3652 | Janos Polonyi | Janos Polonyi | Gluon confinement and quantum censorship | Talk prepared for the conference "Gribov-80", May 26-28, 2010, ICTP
Trieste, Italy, 6 pages, 4 figures | null | 10.1142/9789814350198_0007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamical Maxwell-cut, a degeneracy is shown to be a precursor of
condensate in the phi4 and the sine-Gordon models. The difference of the way
the Maxwell-cut is obtained is pointed out and quantum censorship, the
generation of semiclassically looking phenomenon by loop-corrections is
conjectured in the sine-Gordon model. It is argued that quantum censorship and
gluon confinement exclude each other.
| [
{
"created": "Sun, 19 Sep 2010 17:07:26 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Polonyi",
"Janos",
""
]
] | The dynamical Maxwell-cut, a degeneracy is shown to be a precursor of condensate in the phi4 and the sine-Gordon models. The difference of the way the Maxwell-cut is obtained is pointed out and quantum censorship, the generation of semiclassically looking phenomenon by loop-corrections is conjectured in the sine-Gordon model. It is argued that quantum censorship and gluon confinement exclude each other. |
0910.2413 | Joseph Conlon | Joseph P. Conlon, Eran Palti | Aspects of Flavour and Supersymmetry in F-theory GUTs | 26 pages; v2. journal version | JHEP 1001:029,2010 | 10.1007/JHEP01(2010)029 | OUTP-09/25P, CPHT-RR107.1009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the constraints of supersymmetry on flavour in recently proposed
models of F-theory GUTs. We relate the topologically twisted theory to the
canonical presentation of eight-dimensional super Yang-Mills and provide a
dictionary between the two. We describe the constraints on Yukawa couplings
implied by holomorphy of the superpotential in the effective 4-dimensional
supergravity theory, including the scaling with \alpha_{GUT}. Taking D-terms
into account we solve explicitly to second order for wavefunctions and Yukawas
due to metric and flux perturbations and find a rank-one Yukawa matrix with no
subleading corrections.
| [
{
"created": "Tue, 13 Oct 2009 15:15:21 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2010 17:30:56 GMT",
"version": "v2"
}
] | 2010-01-22 | [
[
"Conlon",
"Joseph P.",
""
],
[
"Palti",
"Eran",
""
]
] | We study the constraints of supersymmetry on flavour in recently proposed models of F-theory GUTs. We relate the topologically twisted theory to the canonical presentation of eight-dimensional super Yang-Mills and provide a dictionary between the two. We describe the constraints on Yukawa couplings implied by holomorphy of the superpotential in the effective 4-dimensional supergravity theory, including the scaling with \alpha_{GUT}. Taking D-terms into account we solve explicitly to second order for wavefunctions and Yukawas due to metric and flux perturbations and find a rank-one Yukawa matrix with no subleading corrections. |
hep-th/0404195 | Evgueniy Vitchev | Evgueniy S. Vitchev | Families of Commuting Integrals of Motion with Certain Symmetries | 18 pages, 1 figure, LaTeX, uses wick.sty | null | null | null | hep-th | null | Some results for commuting local integrals of motion for free bosonic
theories are presented, which can be applied in construction of integrable
boundary states. Usable program code for calculation of these integrals of
motion is also introduced.
| [
{
"created": "Sun, 25 Apr 2004 04:50:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vitchev",
"Evgueniy S.",
""
]
] | Some results for commuting local integrals of motion for free bosonic theories are presented, which can be applied in construction of integrable boundary states. Usable program code for calculation of these integrals of motion is also introduced. |
hep-th/0407266 | Leonard Susskind | Leonard Susskind | Cosmic Natural Selection | null | null | null | null | hep-th | null | I make a number of comments about Smolin's theory of Cosmic Natural
Selection.
| [
{
"created": "Thu, 29 Jul 2004 21:04:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Susskind",
"Leonard",
""
]
] | I make a number of comments about Smolin's theory of Cosmic Natural Selection. |
1910.01988 | Thorsten Schimannek | Cesar Fierro Cota, Albrecht Klemm, Thorsten Schimannek | Topological strings on genus one fibered Calabi-Yau 3-folds and string
dualities | 77 pages + appendices, 8 figures | null | null | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the generating functions of BPS indices using their modular
properties in Type II and M-theory compactifications on compact genus one
fibered CY 3-folds with singular fibers and additional rational sections or
just $N$-sections, in order to study string dualities in four and five
dimensions as well as rigid limits in which gravity decouples. The generating
functions are Jacobi-forms of $\Gamma_1(N)$ with the complexified fiber volume
as modular parameter. The string coupling $\lambda$, or the $\epsilon_\pm$
parameters in the rigid limit, as well as the masses of charged hypermultiplets
and non-Abelian gauge bosons are elliptic parameters. To understand this
structure, we show that specific auto-equivalences act on the category of
topological B-branes on these geometries and generate an action of
$\Gamma_1(N)$ on the stringy K\"ahler moduli space. We argue that these actions
can always be expressed in terms of the generic Seidel-Thomas twist with
respect to the 6-brane together with shifts of the B-field and are thus
monodromies. This implies the elliptic transformation law that is satisfied by
the generating functions. We use Higgs transitions in F-theory to extend the
ansatz for the modular bootstrap to genus one fibrations with $N$-sections and
boundary conditions fix the all genus generating functions for small base
degrees completely. This allows us to study in depth a wide range of new,
non-perturbative theories, which are Type II theory duals to the CHL
$\mathbb{Z}_N$ orbifolds of the heterotic string on $K3\times T_2$. In
particular, we compare the BPS degeneracies in the large base limit to the
perturbative heterotic one-loop amplitude with $R_+^2 F_+^{2g-2}$ insertions
for many new Type II geometries. In the rigid limit we can refine the ansatz
and obtain the elliptic genus of superconformal theories in 5d.
| [
{
"created": "Fri, 4 Oct 2019 15:24:34 GMT",
"version": "v1"
}
] | 2019-10-07 | [
[
"Cota",
"Cesar Fierro",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Schimannek",
"Thorsten",
""
]
] | We calculate the generating functions of BPS indices using their modular properties in Type II and M-theory compactifications on compact genus one fibered CY 3-folds with singular fibers and additional rational sections or just $N$-sections, in order to study string dualities in four and five dimensions as well as rigid limits in which gravity decouples. The generating functions are Jacobi-forms of $\Gamma_1(N)$ with the complexified fiber volume as modular parameter. The string coupling $\lambda$, or the $\epsilon_\pm$ parameters in the rigid limit, as well as the masses of charged hypermultiplets and non-Abelian gauge bosons are elliptic parameters. To understand this structure, we show that specific auto-equivalences act on the category of topological B-branes on these geometries and generate an action of $\Gamma_1(N)$ on the stringy K\"ahler moduli space. We argue that these actions can always be expressed in terms of the generic Seidel-Thomas twist with respect to the 6-brane together with shifts of the B-field and are thus monodromies. This implies the elliptic transformation law that is satisfied by the generating functions. We use Higgs transitions in F-theory to extend the ansatz for the modular bootstrap to genus one fibrations with $N$-sections and boundary conditions fix the all genus generating functions for small base degrees completely. This allows us to study in depth a wide range of new, non-perturbative theories, which are Type II theory duals to the CHL $\mathbb{Z}_N$ orbifolds of the heterotic string on $K3\times T_2$. In particular, we compare the BPS degeneracies in the large base limit to the perturbative heterotic one-loop amplitude with $R_+^2 F_+^{2g-2}$ insertions for many new Type II geometries. In the rigid limit we can refine the ansatz and obtain the elliptic genus of superconformal theories in 5d. |
1812.04645 | Francesco Benini | Vladimir Bashmakov, Francesco Benini, Sergio Benvenuti, Matteo
Bertolini | Living on the walls of super-QCD | 47 pages, 6 figures; v2: refs and clarifications added; v3: typos
corrected, clarifications added | SciPost Phys. 6, 044 (2019) | 10.21468/SciPostPhys.6.4.044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study BPS domain walls in four-dimensional $\mathcal{N}=1$ massive SQCD
with gauge group $SU(N)$ and $F<N$ flavors. We propose a class of
three-dimensional Chern-Simons-matter theories to describe the effective
dynamics on the walls. Our proposal passes several checks, including the exact
matching between its vacua and the solutions to the four-dimensional BPS domain
wall equations, that we solve in the small mass regime. As the flavor mass is
varied, domain walls undergo a second-order phase transition, where multiple
vacua coalesce into a single one. For special values of the parameters, the
phase transition exhibits supersymmetry enhancement. Our proposal includes and
extends previous results in the literature, providing a complete picture of BPS
domain walls for $F<N$ massive SQCD. A similar picture holds also for SQCD with
gauge group $Sp(N)$ and $F < N+1$ flavors.
| [
{
"created": "Tue, 11 Dec 2018 19:01:34 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2019 20:41:40 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Mar 2019 22:30:02 GMT",
"version": "v3"
}
] | 2019-04-17 | [
[
"Bashmakov",
"Vladimir",
""
],
[
"Benini",
"Francesco",
""
],
[
"Benvenuti",
"Sergio",
""
],
[
"Bertolini",
"Matteo",
""
]
] | We study BPS domain walls in four-dimensional $\mathcal{N}=1$ massive SQCD with gauge group $SU(N)$ and $F<N$ flavors. We propose a class of three-dimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for $F<N$ massive SQCD. A similar picture holds also for SQCD with gauge group $Sp(N)$ and $F < N+1$ flavors. |
hep-th/0007211 | Vijay Balasubramanian | Vijay Balasubramanian, Eric Gimon, Djordje Minic and Joachim Rahmfeld | Four Dimensional Conformal Supergravity From AdS Space | 20 pages, LaTeX. v3. references and minor comments added | Phys.Rev. D63 (2001) 104009 | 10.1103/PhysRevD.63.104009 | CALT68-2290, CITUSC/00-39, HUTP-00/031, UPR-897T | hep-th | null | Exploring the role of conformal theories of gravity in string theory, we show
that the minimal (N=2) gauged supergravities in five dimensions induce the
multiplets and transformations of N=1 four dimensional conformal supergravity
on the spacetime boundary. N=1 Poincare supergravity can be induced by
explicitly breaking the conformal invariance via a radial cutoff in the 5d
space. The AdS/CFT correspondence relates the maximal gauged supergravity in
five dimensions to N=4 super Yang-Mills on the 4d spacetime boundary. In this
context we show that the conformal anomaly of the gauge theory induces
conformal gravity on the boundary of the space and that this theory, via the
renormalization group, encapsulates the gravitational dynamics of the skin of
asymptotically AdS spacetimes. Our results have several applications to the
AdS/CFT correspondence and the Randall-Sundrum scenario.
| [
{
"created": "Wed, 26 Jul 2000 12:32:52 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2000 14:53:09 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Oct 2000 17:35:38 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Gimon",
"Eric",
""
],
[
"Minic",
"Djordje",
""
],
[
"Rahmfeld",
"Joachim",
""
]
] | Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the spacetime boundary. N=1 Poincare supergravity can be induced by explicitly breaking the conformal invariance via a radial cutoff in the 5d space. The AdS/CFT correspondence relates the maximal gauged supergravity in five dimensions to N=4 super Yang-Mills on the 4d spacetime boundary. In this context we show that the conformal anomaly of the gauge theory induces conformal gravity on the boundary of the space and that this theory, via the renormalization group, encapsulates the gravitational dynamics of the skin of asymptotically AdS spacetimes. Our results have several applications to the AdS/CFT correspondence and the Randall-Sundrum scenario. |
2303.03913 | Aradhita Chattopadhyaya | Aradhita Chattopadhyaya | Sign of BPS index for ${\cal N}=4$ dyons | null | null | null | DIAS-STP-23-04 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we argue how the sign changes on an average for the positive
weight mock modular forms associated with the ${\cal N}=4$ type II string black
holes compactified on orbifolds of $K3\times T^2$. The orbifolds of order $N$
act with $g'\in[M_{23}]$ an order $N$ symplectic orbifold on $K3$ and a $1/N$
shift in one of the circles of the torus $T^2$. We expand the inverse Siegel
modular forms of subgroups of $Sp_2(\mathbb{Z})$ for the magnetic charge
$P^2=2$ in terms of mock Jacobi forms and Appell Lerch sums. We analyze the
average growth of the coefficients of these mock modular forms after theta
decomposition and removing inverse eta products. In particular we remove the
contribution of the fundamental string which rightfully dominates the growth of
the positive weight modular forms after the first few coefficients and ensures
the positivity of the helicity trace index $-B_6$. Using numerics and limits of
divisor sum function we predict the sign of these mock modular forms. We also
observe that the cusp forms associated with the non-geometric orbifolds of $K3$
can only contribute for sign changes up to the first few terms hence their
contribution can be neglected for large electric charges.
| [
{
"created": "Tue, 7 Mar 2023 14:15:57 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2023 20:44:29 GMT",
"version": "v2"
}
] | 2023-03-21 | [
[
"Chattopadhyaya",
"Aradhita",
""
]
] | In this paper we argue how the sign changes on an average for the positive weight mock modular forms associated with the ${\cal N}=4$ type II string black holes compactified on orbifolds of $K3\times T^2$. The orbifolds of order $N$ act with $g'\in[M_{23}]$ an order $N$ symplectic orbifold on $K3$ and a $1/N$ shift in one of the circles of the torus $T^2$. We expand the inverse Siegel modular forms of subgroups of $Sp_2(\mathbb{Z})$ for the magnetic charge $P^2=2$ in terms of mock Jacobi forms and Appell Lerch sums. We analyze the average growth of the coefficients of these mock modular forms after theta decomposition and removing inverse eta products. In particular we remove the contribution of the fundamental string which rightfully dominates the growth of the positive weight modular forms after the first few coefficients and ensures the positivity of the helicity trace index $-B_6$. Using numerics and limits of divisor sum function we predict the sign of these mock modular forms. We also observe that the cusp forms associated with the non-geometric orbifolds of $K3$ can only contribute for sign changes up to the first few terms hence their contribution can be neglected for large electric charges. |
hep-th/9302055 | null | Christian Grosche | $\delta$-Function Perturbations and Boundary Problems by Path
Integration | 35 pages, amstex, preprint SISSA/18/93/FM | Annalen Phys. 2 (1993) 557-589 | 10.1002/andp.19935050606 | null | hep-th | null | A wide class of boundary problems in quantum mechanics is discussed by using
path integrals. This includes motion in half-spaces, radial boxes, rings, and
moving boundaries. As a preparation the formalism for the incorporation of
$\delta$-function perturbations is outlined, which includes the discussion of
multiple $\delta$-function perturbations, $\delta$-function perturbations along
perpendicular lines and planes, and moving $\delta$-function perturbations. The
limiting process, where the strength of the $\delta$-function perturbations
gets infinite repulsive, has the effect of producing impenetrable walls at the
locations of the $\delta$-function perturbations, i.e.\ a consistent
description for boundary problems with Dirichlet boundary-condition emerges.
Several examples illustrate the formalism.
| [
{
"created": "Sat, 13 Feb 1993 13:03:26 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Grosche",
"Christian",
""
]
] | A wide class of boundary problems in quantum mechanics is discussed by using path integrals. This includes motion in half-spaces, radial boxes, rings, and moving boundaries. As a preparation the formalism for the incorporation of $\delta$-function perturbations is outlined, which includes the discussion of multiple $\delta$-function perturbations, $\delta$-function perturbations along perpendicular lines and planes, and moving $\delta$-function perturbations. The limiting process, where the strength of the $\delta$-function perturbations gets infinite repulsive, has the effect of producing impenetrable walls at the locations of the $\delta$-function perturbations, i.e.\ a consistent description for boundary problems with Dirichlet boundary-condition emerges. Several examples illustrate the formalism. |
hep-th/0508076 | Hitoshi Nishino | Hitoshi Nishino and Subhash Rajpoot | Non-Abelian Tensors with Consistent Interactions | 15 pages, no figures | Phys.Rev. D72 (2005) 085020 | 10.1103/PhysRevD.72.085020 | CSULB-PA-05-2 | hep-th | null | We present a systematic method for constructing consistent interactions for a
tensor field of an arbitrary rank in the adjoint representation of an arbitrary
gauge group in any space-time dimensions. This method is inspired by the
dimensional reduction of Scherk-Schwarz, modifying field strengths with certain
Chern-Simons forms, together with modified tensorial gauge transformations. In
order to define a consistent field strength of a r-rank tensor
B_{\mu_1...\mu_r}^I in the adjoint representation, we need the multiplet
(B_{\mu_1...\mu_r}^I, B_{\mu_1...\mu_{r-1}}^{I J}, ..., B_\mu^{I_1...I_r},
B^{I_1... I_{r+1}}). The usual problem of consistency of the tensor field
equations is circumvented in this formulation.
| [
{
"created": "Wed, 10 Aug 2005 20:11:00 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] | We present a systematic method for constructing consistent interactions for a tensor field of an arbitrary rank in the adjoint representation of an arbitrary gauge group in any space-time dimensions. This method is inspired by the dimensional reduction of Scherk-Schwarz, modifying field strengths with certain Chern-Simons forms, together with modified tensorial gauge transformations. In order to define a consistent field strength of a r-rank tensor B_{\mu_1...\mu_r}^I in the adjoint representation, we need the multiplet (B_{\mu_1...\mu_r}^I, B_{\mu_1...\mu_{r-1}}^{I J}, ..., B_\mu^{I_1...I_r}, B^{I_1... I_{r+1}}). The usual problem of consistency of the tensor field equations is circumvented in this formulation. |
1805.11993 | Florian Loebbert | Florian Loebbert, Anne Spiering | Nonlocal Symmetries and Factorized Scattering | 33 pages, v2: incorrect argument on conservation of rapidities
removed, table 2 updated, some discussions improved | J. Phys. A51 (2018) 485202 | 10.1088/1751-8121/aae7ff | TCDMATH 18-07, HU-EP-18/17 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conventionally, factorized scattering in two dimensions is argued to be a
consequence of the conservation of local higher charges. However, integrability
may well be realized via nonlocal charges, while higher local charges are not
known. Here we address the question of whether a nonlocal Yangian symmetry
implies factorized scattering of the S-matrix. We explicitly study the
constraints on three-particle scattering processes of particles transforming in
the fundamental representations of su(N), u(1|1), and the centrally extended
su(2|2) underlying the dynamic scattering and hexagon form factors in AdS/CFT.
These considerations shed light on the role of the Yangian as an axiomatic
input for the bootstrap program for integrable theories.
| [
{
"created": "Wed, 30 May 2018 14:07:46 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2018 11:00:23 GMT",
"version": "v2"
}
] | 2018-11-06 | [
[
"Loebbert",
"Florian",
""
],
[
"Spiering",
"Anne",
""
]
] | Conventionally, factorized scattering in two dimensions is argued to be a consequence of the conservation of local higher charges. However, integrability may well be realized via nonlocal charges, while higher local charges are not known. Here we address the question of whether a nonlocal Yangian symmetry implies factorized scattering of the S-matrix. We explicitly study the constraints on three-particle scattering processes of particles transforming in the fundamental representations of su(N), u(1|1), and the centrally extended su(2|2) underlying the dynamic scattering and hexagon form factors in AdS/CFT. These considerations shed light on the role of the Yangian as an axiomatic input for the bootstrap program for integrable theories. |
hep-th/0404179 | Jun Nishimura | Wolfgang Bietenholz, Frank Hofheinz, Jun Nishimura | On the relation between non-commutative field theories at theta =
infinity and large N matrix field theories | 12 pages, LaTeX | JHEP 0405 (2004) 047 | 10.1088/1126-6708/2004/05/047 | HU-EP-04/20, KEK-TH-952 | hep-th | null | It is well-known that non-commutative (NC) field theories at theta = infinity
are ``equivalent'' to large N matrix field theories to all orders in
perturbation theory, due to the dominance of planar diagrams. By formulating a
NC field theory on the lattice non-perturbatively and mapping it onto a twisted
reduced model, we point out that the above equivalence does not hold if the
translational symmetry of the NC field theory is broken spontaneously. As an
example we discuss NC scalar field theory, where such a spontaneous symmetry
breakdown has been confirmed by Monte Carlo simulations.
| [
{
"created": "Fri, 23 Apr 2004 13:08:47 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bietenholz",
"Wolfgang",
""
],
[
"Hofheinz",
"Frank",
""
],
[
"Nishimura",
"Jun",
""
]
] | It is well-known that non-commutative (NC) field theories at theta = infinity are ``equivalent'' to large N matrix field theories to all orders in perturbation theory, due to the dominance of planar diagrams. By formulating a NC field theory on the lattice non-perturbatively and mapping it onto a twisted reduced model, we point out that the above equivalence does not hold if the translational symmetry of the NC field theory is broken spontaneously. As an example we discuss NC scalar field theory, where such a spontaneous symmetry breakdown has been confirmed by Monte Carlo simulations. |
1307.6648 | Marco Bill\'o | M. Bill\'o, M. Frau, L. Gallot, A. Lerda and I. Pesando | Modular anomaly equation, heat kernel and S-duality in N=2 theories | 30 pages, LeTeX2e. V2: references added, appendix B expanded, a few
typos corrected | null | 10.1007/JHEP11(2013)123 | LAPTH-040/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate epsilon-deformed N=2 superconformal gauge theories in four
dimensions, focusing on the N=2* and Nf=4 SU(2) cases. We show how the modular
anomaly equation obeyed by the deformed prepotential can be efficiently used to
derive its non-perturbative expression starting from the perturbative one. We
also show that the modular anomaly equation implies that S-duality is
implemented by means of an exact Fourier transform even for arbitrary values of
the deformation parameters, and then we argue that it is possible,
perturbatively in the deformation, to choose appropriate variables such that it
reduces to a Legendre transform.
| [
{
"created": "Thu, 25 Jul 2013 07:39:19 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Sep 2013 08:14:34 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Billó",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Gallot",
"L.",
""
],
[
"Lerda",
"A.",
""
],
[
"Pesando",
"I.",
""
]
] | We investigate epsilon-deformed N=2 superconformal gauge theories in four dimensions, focusing on the N=2* and Nf=4 SU(2) cases. We show how the modular anomaly equation obeyed by the deformed prepotential can be efficiently used to derive its non-perturbative expression starting from the perturbative one. We also show that the modular anomaly equation implies that S-duality is implemented by means of an exact Fourier transform even for arbitrary values of the deformation parameters, and then we argue that it is possible, perturbatively in the deformation, to choose appropriate variables such that it reduces to a Legendre transform. |
1112.0885 | Sang Pyo Kim | Sang Pyo Kim (Kunsan Natl. U. and Natl. Taiwan U. and YITP, Kyoto U.),
W-Y.Pauchy Hwang (Natl. Taiwan U.), Tse-Chun Wang (Natl. Taiwan U.) | Schwinger mechanism in dS_2 and AdS_2 revisited | RevTex 6 pages; 2 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recalculating the Bogoliubov coefficients from the solutions in Phys. Rev. D
78, 103517 (2008), we obtain the mean number of boson pairs in a uniform
electric field in the global coordinates dS_2 and AdS_2, which have the correct
zero-field and zero-curvature limits, and study the vacuum persistence at
one-loop. The mean number in AdS_2 gives the lowest limit to the
Breitenloher-Freedman bound in the uniform electric field, and the mean numbers
in dS_2 and AdS_2 satisfy the reciprocal relation N_{dS} (R, E) N_{AdS} (R, E)
= 1 under the analytical continuation of the scalar curvature R.
| [
{
"created": "Mon, 5 Dec 2011 11:03:57 GMT",
"version": "v1"
}
] | 2011-12-06 | [
[
"Kim",
"Sang Pyo",
"",
"Kunsan Natl. U. and Natl. Taiwan U. and YITP, Kyoto U."
],
[
"Hwang",
"W-Y. Pauchy",
"",
"Natl. Taiwan U."
],
[
"Wang",
"Tse-Chun",
"",
"Natl. Taiwan U."
]
] | Recalculating the Bogoliubov coefficients from the solutions in Phys. Rev. D 78, 103517 (2008), we obtain the mean number of boson pairs in a uniform electric field in the global coordinates dS_2 and AdS_2, which have the correct zero-field and zero-curvature limits, and study the vacuum persistence at one-loop. The mean number in AdS_2 gives the lowest limit to the Breitenloher-Freedman bound in the uniform electric field, and the mean numbers in dS_2 and AdS_2 satisfy the reciprocal relation N_{dS} (R, E) N_{AdS} (R, E) = 1 under the analytical continuation of the scalar curvature R. |
hep-th/0501083 | H. Falomir | H. Falomir and P. A. G. Pisani | Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum
Mechanics | LaTeX. 23 pages and 1 figure (minor changes). Version to appear in
the Journal of Physics A: Mat. and Gen | J.Phys.A38:4665-4683,2005 | 10.1088/0305-4470/38/21/011 | null | hep-th math-ph math.MP quant-ph | null | We consider the self-adjoint extensions (SAE) of the symmetric supercharges
and Hamiltonian for a model of SUSY Quantum Mechanics in $\mathbb{R}^+$ with a
singular superpotential. We show that only for two particular SAE, whose
domains are scale invariant, the algebra of N=2 SUSY is realized, one with
manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the
N=1 SUSY algebra is obtained, with spontaneously broken SUSY and non degenerate
energy spectrum.
| [
{
"created": "Tue, 11 Jan 2005 22:33:41 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 14:20:59 GMT",
"version": "v2"
}
] | 2010-12-03 | [
[
"Falomir",
"H.",
""
],
[
"Pisani",
"P. A. G.",
""
]
] | We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a model of SUSY Quantum Mechanics in $\mathbb{R}^+$ with a singular superpotential. We show that only for two particular SAE, whose domains are scale invariant, the algebra of N=2 SUSY is realized, one with manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the N=1 SUSY algebra is obtained, with spontaneously broken SUSY and non degenerate energy spectrum. |
1211.6092 | Markus Huber Q. | Markus Q. Huber, Lorenz von Smekal | On the influence of three-point functions on the propagators of Landau
gauge Yang-Mills theory | 28 pages, 12 figures, matches published version | JHEP04(2013)149 | 10.1007/JHEP04(2013)149 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the Dyson-Schwinger equations of the ghost and gluon propagators of
Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex.
The latter plays a central role in many truncation schemes for functional
equations. By including it dynamically we can determine its influence on the
propagators. We also suggest a new model for the three-gluon vertex motivated
by lattice data which plays a crucial role to obtain stable solutions when the
ghost-gluon vertex is included. We find that both vertices have a sizable
quantitative impact on the mid-momentum regime and contribute to the reduction
of the gap between lattice and Dyson-Schwinger equation results. Furthermore,
we establish that the three-gluon vertex dressing turns negative at low momenta
as suggested by lattice results in three dimensions.
| [
{
"created": "Mon, 26 Nov 2012 20:55:49 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Apr 2013 20:02:14 GMT",
"version": "v2"
}
] | 2013-06-25 | [
[
"Huber",
"Markus Q.",
""
],
[
"von Smekal",
"Lorenz",
""
]
] | We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations. By including it dynamically we can determine its influence on the propagators. We also suggest a new model for the three-gluon vertex motivated by lattice data which plays a crucial role to obtain stable solutions when the ghost-gluon vertex is included. We find that both vertices have a sizable quantitative impact on the mid-momentum regime and contribute to the reduction of the gap between lattice and Dyson-Schwinger equation results. Furthermore, we establish that the three-gluon vertex dressing turns negative at low momenta as suggested by lattice results in three dimensions. |
1809.00021 | Yao Ji | Yao Ji and Alexander N. Manashov | On operator mixing in fermionic CFTs in non-integer dimensions | 9 pages; typos are fixed; Journal reference is given | Phys. Rev. D 98, 105001 (2018) | 10.1103/PhysRevD.98.105001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider renormalization of four-fermion operators in the critical QED and
$SU(N_c)$ version of Gross--Neveu--Yukawa model in non-integer dimensions.
Since the number of mixing operators is infinite, the diagonalization of an
anomalous dimension matrix becomes a nontrivial problem. At leading order,
construction of eigen-operators is equivalent to solving certain three-term
recurrence relations. We find analytic solutions of these recurrence relations
that allows to determine the spectrum of anomalous dimensions and study their
properties.
| [
{
"created": "Fri, 31 Aug 2018 18:48:51 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Nov 2018 13:03:52 GMT",
"version": "v2"
}
] | 2018-11-07 | [
[
"Ji",
"Yao",
""
],
[
"Manashov",
"Alexander N.",
""
]
] | We consider renormalization of four-fermion operators in the critical QED and $SU(N_c)$ version of Gross--Neveu--Yukawa model in non-integer dimensions. Since the number of mixing operators is infinite, the diagonalization of an anomalous dimension matrix becomes a nontrivial problem. At leading order, construction of eigen-operators is equivalent to solving certain three-term recurrence relations. We find analytic solutions of these recurrence relations that allows to determine the spectrum of anomalous dimensions and study their properties. |
2407.09214 | Ivo Petr | Ivo Petr and Ladislav Hlavat\'y | Plane-parallel waves as Jacobi-Lie models | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | T-duality and its generalizations are widely recognized either as symmetries
or solution-generating techniques in string theory. Recently introduced
Jacobi-Lie T-plurality is based on Leibniz algebras whose structure constants
${f_{ab}}^c, {f_c}^{ab}, Z_a, Z^a$ satisfy further conditions. Low dimensional
Jacobi-Lie bialgebras were classified a few years ago. We study four- and
six-dimensional algebras with structure constants ${f_b}^{ba} = Z^a = 0$ and
show that there are several classes consisting of mutually isomorphic algebras.
Using isomorphisms between Jacobi-Lie bialgebras we investigate three- and
four-dimensional sigma models related by Jacobi-Lie T-plurality with and
without spectators. In the Double Field Theory formulation constant generalized
fluxes $F_A$ are used in the literature to transform dilaton field. We extend
the procedure to non-constant fluxes and verify that obtained backgrounds and
dilatons solve Supergravity Equations. Most of the resulting backgrounds have
vanishing curvature scalars and, as can be seen by finding Brinkmann
coordinates, represent plane-parallel waves solving Supergravity Equations.
| [
{
"created": "Fri, 12 Jul 2024 12:25:35 GMT",
"version": "v1"
}
] | 2024-07-15 | [
[
"Petr",
"Ivo",
""
],
[
"Hlavatý",
"Ladislav",
""
]
] | T-duality and its generalizations are widely recognized either as symmetries or solution-generating techniques in string theory. Recently introduced Jacobi-Lie T-plurality is based on Leibniz algebras whose structure constants ${f_{ab}}^c, {f_c}^{ab}, Z_a, Z^a$ satisfy further conditions. Low dimensional Jacobi-Lie bialgebras were classified a few years ago. We study four- and six-dimensional algebras with structure constants ${f_b}^{ba} = Z^a = 0$ and show that there are several classes consisting of mutually isomorphic algebras. Using isomorphisms between Jacobi-Lie bialgebras we investigate three- and four-dimensional sigma models related by Jacobi-Lie T-plurality with and without spectators. In the Double Field Theory formulation constant generalized fluxes $F_A$ are used in the literature to transform dilaton field. We extend the procedure to non-constant fluxes and verify that obtained backgrounds and dilatons solve Supergravity Equations. Most of the resulting backgrounds have vanishing curvature scalars and, as can be seen by finding Brinkmann coordinates, represent plane-parallel waves solving Supergravity Equations. |
0712.1815 | Per Berglund | Vijay Balasubramanian, Per Berglund, Raul Jimenez, Joan Simon, Licia
Verde | Topology from Cosmology | 34 pages, added references, improved argument of observable
dependence on microscopic parameters | JHEP0806:025,2008 | 10.1088/1126-6708/2008/06/025 | null | hep-th astro-ph | null | We show that cosmological observables can constrain the topology of the
compact additional dimensions predicted by string theory. To do this, we
develop a general strategy for relating cosmological observables to the
microscopic parameters of the potentials and field-dependent kinetic terms of
the multiple scalar fields that arise in the low-energy limit of string theory.
We apply this formalism to the Large Volume Scenarios in Type IIB flux
compactifications where analytical calculations are possible. Our methods
generalize to other settings.
| [
{
"created": "Tue, 11 Dec 2007 20:47:03 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 20:54:09 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Berglund",
"Per",
""
],
[
"Jimenez",
"Raul",
""
],
[
"Simon",
"Joan",
""
],
[
"Verde",
"Licia",
""
]
] | We show that cosmological observables can constrain the topology of the compact additional dimensions predicted by string theory. To do this, we develop a general strategy for relating cosmological observables to the microscopic parameters of the potentials and field-dependent kinetic terms of the multiple scalar fields that arise in the low-energy limit of string theory. We apply this formalism to the Large Volume Scenarios in Type IIB flux compactifications where analytical calculations are possible. Our methods generalize to other settings. |
hep-th/9504060 | Das Saurya | Saurya Das and Parthasarathi Majumdar | Aspects of Planckian Scattering beyond the Eikonal | 11 pages, Revtex | Pramana 51 (1998) 413-419 | 10.1007/BF02828934 | IMsc/94-95/61 | hep-th | null | We discuss an approach to compute two-particle scattering amplitudes for
spinless particles colliding at Planckian centre-of-mass energies, with
increasing momentum transfer away from the eikonal limit. For electrically
neutral particles, the amplitude exhibits poles on the imaginary squared cm
energy axis at locations that are distinct from those appearing in the eikonal
limit. For charged particles, electromagnetic and gravitational effects remain
decoupled for the eikonal situation as also the leading order (in momentum
transfer, or equivalently, the impact parameter) correction, but mix
non-trivially for higher orders.
| [
{
"created": "Tue, 11 Apr 1995 09:05:14 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Das",
"Saurya",
""
],
[
"Majumdar",
"Parthasarathi",
""
]
] | We discuss an approach to compute two-particle scattering amplitudes for spinless particles colliding at Planckian centre-of-mass energies, with increasing momentum transfer away from the eikonal limit. For electrically neutral particles, the amplitude exhibits poles on the imaginary squared cm energy axis at locations that are distinct from those appearing in the eikonal limit. For charged particles, electromagnetic and gravitational effects remain decoupled for the eikonal situation as also the leading order (in momentum transfer, or equivalently, the impact parameter) correction, but mix non-trivially for higher orders. |
hep-th/0304236 | Davoud Kamani | Davoud Kamani | PP-Wave Strings from Membrane and from String in the Spacetime with Two
Time Directions | 12 pages, Latex, no figure, to appear in Phys. Lett. B | Phys.Lett. B564 (2003) 123-131 | 10.1016/S0370-2693(03)00585-9 | null | hep-th | null | In this paper we obtain strings that propagate in the quantized pp-wave
backgrounds. We can obtain these strings from the solutions of membrane. The
other way is the propagation of a massless string in a spacetime with two time
dimensions. This string sweeps a worldvolume, which enables us to obtain other
strings in the quantized pp-wave backgrounds in the spacetime with one time
direction. The associated algebras and Hamiltonians of these massive strings
will be studied.
| [
{
"created": "Mon, 28 Apr 2003 11:18:26 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kamani",
"Davoud",
""
]
] | In this paper we obtain strings that propagate in the quantized pp-wave backgrounds. We can obtain these strings from the solutions of membrane. The other way is the propagation of a massless string in a spacetime with two time dimensions. This string sweeps a worldvolume, which enables us to obtain other strings in the quantized pp-wave backgrounds in the spacetime with one time direction. The associated algebras and Hamiltonians of these massive strings will be studied. |
hep-th/0503007 | Shibaji Roy | J. X. Lu and S. Roy | Non-SUSY $p$-branes delocalized in two directions, tachyon condensation
and T-duality | 19 pages, latex | JHEP 0506 (2005) 026 | 10.1088/1126-6708/2005/06/026 | USTC-ICTS-05-4 | hep-th | null | We here generalize our previous construction [hep-th/0409019] of
non-supersymmetric $p$-branes delocalized in one transverse spatial direction
to two transverse spatial directions in supergravities in arbitrary dimensions
($d$). These solutions are characterized by five parameters. We show how these
solutions in $d=10$ interpolate between D($p+2$)-anti-D($p+2$) brane system,
non-BPS D$(p+1)$-branes (delocalized in one direction) and BPS D$p$-branes by
adjusting and scaling the parameters in suitable ways. This picture is very
similar to the descent relations obtained by Sen in the open string effective
description of non-BPS D$(p+1)$ brane and BPS D$p$-brane as the respective
tachyonic kink and vortex solutions on the D$(p+2)$-anti-D$(p+2)$ brane system
(with some differences). We compare this process with the T-duality
transformation which also has the effect of increasing (or decreasing) the
dimensionality of the branes by one.
| [
{
"created": "Tue, 1 Mar 2005 10:56:56 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Lu",
"J. X.",
""
],
[
"Roy",
"S.",
""
]
] | We here generalize our previous construction [hep-th/0409019] of non-supersymmetric $p$-branes delocalized in one transverse spatial direction to two transverse spatial directions in supergravities in arbitrary dimensions ($d$). These solutions are characterized by five parameters. We show how these solutions in $d=10$ interpolate between D($p+2$)-anti-D($p+2$) brane system, non-BPS D$(p+1)$-branes (delocalized in one direction) and BPS D$p$-branes by adjusting and scaling the parameters in suitable ways. This picture is very similar to the descent relations obtained by Sen in the open string effective description of non-BPS D$(p+1)$ brane and BPS D$p$-brane as the respective tachyonic kink and vortex solutions on the D$(p+2)$-anti-D$(p+2)$ brane system (with some differences). We compare this process with the T-duality transformation which also has the effect of increasing (or decreasing) the dimensionality of the branes by one. |
2012.01052 | Yakov Shnir | Viktor Loiko, Ilya Perapechka and Yakov Shnir | Q-chains in the $U(1)$ gauged Friedberg-Lee-Sirlin model | 14 pages, 4 figures | null | 10.1209/0295-5075/133/41001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct static axially symmetric multi-Q-ball configurations in the
$U(1)$ gauged two-component Fridberg-Lee-Sirlin model a flat spacetime. The
solutions represent electromagnetically bounded chains of stationary spinning
charged Q-balls placed along the axis of symmetry.
We discuss the properties of these configurations and exhibit their domain of
existence.
| [
{
"created": "Wed, 2 Dec 2020 09:48:06 GMT",
"version": "v1"
}
] | 2021-05-26 | [
[
"Loiko",
"Viktor",
""
],
[
"Perapechka",
"Ilya",
""
],
[
"Shnir",
"Yakov",
""
]
] | We construct static axially symmetric multi-Q-ball configurations in the $U(1)$ gauged two-component Fridberg-Lee-Sirlin model a flat spacetime. The solutions represent electromagnetically bounded chains of stationary spinning charged Q-balls placed along the axis of symmetry. We discuss the properties of these configurations and exhibit their domain of existence. |
hep-th/0201007 | Peter Horvathy | P. A.Horvathy | The non-commutative Landau problem | Published with shortened title as Ann. Phys. (N. Y.) 299, pp. 128-140
(2002) 14 pages, LaTex, no figures | Ann.Phys.299:128-140,2002 | 10.1006/aphy.2002.6271 | null | hep-th | null | The Landau problem is discussed in two similar but still different
non-commutative frameworks. The ``standard'' one, where the coupling to the
gauge field is achieved using Poisson brackets, yields all Landau levels. The
``exotic'' approach, where the coupling to the gauge field is achieved using
the symplectic structure, only yields lowest-Landau level states, as advocated
by Peierls and used in the description of the ground states of the Fractional
Quantum Hall Effect. The same reduced model also describes vortex dynamics in a
superfluid ${}^4$He film. Remarkably, the spectrum depends crucially on the
quantization scheme. The system is symmetric w. r. t. area-preserving
diffeomorphisms.
| [
{
"created": "Wed, 2 Jan 2002 16:30:48 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jan 2002 16:46:53 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Apr 2002 09:54:27 GMT",
"version": "v3"
},
{
"created": "Wed, 16 Oct 2002 05:33:29 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Horvathy",
"P. A.",
""
]
] | The Landau problem is discussed in two similar but still different non-commutative frameworks. The ``standard'' one, where the coupling to the gauge field is achieved using Poisson brackets, yields all Landau levels. The ``exotic'' approach, where the coupling to the gauge field is achieved using the symplectic structure, only yields lowest-Landau level states, as advocated by Peierls and used in the description of the ground states of the Fractional Quantum Hall Effect. The same reduced model also describes vortex dynamics in a superfluid ${}^4$He film. Remarkably, the spectrum depends crucially on the quantization scheme. The system is symmetric w. r. t. area-preserving diffeomorphisms. |
1207.6414 | Cristiano Germani | Cristiano Germani (Munich U., ASC) | On the Covariant Galileon and a consistent self-accelerating Universe | v3: clarifications added; version accepted for publication in PRD | null | 10.1103/PhysRevD.86.104032 | LMU-ASC 54/12 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show that the flat space Galilean theories with up to three
scalars in the equation of motion (the quartic Galileons) are recovered in the
decoupling limit of certain scalar theories non-minimally coupled to gravity,
the so-called "Slotheonic" theories. These theories are also invariant under
the generalized Galilean shifts in curved spacetime. While Galilean
self-(derivative)couplings are not explicit in the action, they appear after
integrating out gravity. We then argue that Galilean supersymmetric theories
may only be found in the context of supergravity. Finally, we discuss on the
possibility that Slotheonic theories are the effective four dimensional
theories of consistent DGP-like models with self-accelerating cosmological
solutions. Moreover, we show that the quartic and cubic Galileon in consistent
DGP models cannot be decoupled.
| [
{
"created": "Thu, 26 Jul 2012 21:02:00 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Aug 2012 20:44:19 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Nov 2012 23:52:25 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Germani",
"Cristiano",
"",
"Munich U., ASC"
]
] | In this paper we show that the flat space Galilean theories with up to three scalars in the equation of motion (the quartic Galileons) are recovered in the decoupling limit of certain scalar theories non-minimally coupled to gravity, the so-called "Slotheonic" theories. These theories are also invariant under the generalized Galilean shifts in curved spacetime. While Galilean self-(derivative)couplings are not explicit in the action, they appear after integrating out gravity. We then argue that Galilean supersymmetric theories may only be found in the context of supergravity. Finally, we discuss on the possibility that Slotheonic theories are the effective four dimensional theories of consistent DGP-like models with self-accelerating cosmological solutions. Moreover, we show that the quartic and cubic Galileon in consistent DGP models cannot be decoupled. |
1005.0541 | Jochen Zahn | Jochen Zahn | Divergences in quantum field theory on the noncommutative
two-dimensional Minkowski space with Grosse-Wulkenhaar potential | 26 pages, published version | Annales Henri Poincare 12:777-804,2011 | 10.1007/s00023-011-0089-0 | ITP-UH-08/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum field theory on the noncommutative two-dimensional Minkowski space
with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a
continuous set of generalised eigenfunctions of the wave operator, and directly
in position space. In both settings, we find a new type of divergence in planar
graphs. It is present at and above the self-dual point. This new kind of
divergence might make the construction of a Minkowski space version of the
Grosse-Wulkenhaar model impossible.
| [
{
"created": "Tue, 4 May 2010 14:32:11 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2011 13:51:19 GMT",
"version": "v2"
}
] | 2011-05-04 | [
[
"Zahn",
"Jochen",
""
]
] | Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position space. In both settings, we find a new type of divergence in planar graphs. It is present at and above the self-dual point. This new kind of divergence might make the construction of a Minkowski space version of the Grosse-Wulkenhaar model impossible. |
1912.13491 | Alessandra Gnecchi | Fabio Apruzzi, G. Bruno De Luca, Alessandra Gnecchi, Gabriele Lo
Monaco, Alessandro Tomasiello | On AdS$_7$ stability | 1+42 pages, 3 figures | null | 10.1007/JHEP07(2020)033 | CERN-TH-2019-232 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AdS$_7$ supersymmetric solutions in type IIA have been classified, and they
are infinitely many. Moreover, every such solution has a non-supersymmetric
sister. In this paper, we study the perturbative and non-perturbative stability
of these non-supersymmetric solutions, focusing on cases without orientifolds.
Perturbatively, we first look at the KK spectrum of spin-2 excitations. This
does not exhibit instabilities, but it does show that there is no separation of
scales for either the BPS and the non-BPS case, thus proving for supersymmetric
AdS$_7$ a well-known recent conjecture. We then use 7d gauged supergravity and
a brane polarization computation to access part of the spectrum of KK scalars.
The result signals an instability for all non-supersymmetric solutions except
those that have a single D8 on each side. We finally look at non-perturbative
instabilities, and find that NS5 bubbles make these remaining solutions decay.
| [
{
"created": "Tue, 31 Dec 2019 18:46:10 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Apruzzi",
"Fabio",
""
],
[
"De Luca",
"G. Bruno",
""
],
[
"Gnecchi",
"Alessandra",
""
],
[
"Monaco",
"Gabriele Lo",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | AdS$_7$ supersymmetric solutions in type IIA have been classified, and they are infinitely many. Moreover, every such solution has a non-supersymmetric sister. In this paper, we study the perturbative and non-perturbative stability of these non-supersymmetric solutions, focusing on cases without orientifolds. Perturbatively, we first look at the KK spectrum of spin-2 excitations. This does not exhibit instabilities, but it does show that there is no separation of scales for either the BPS and the non-BPS case, thus proving for supersymmetric AdS$_7$ a well-known recent conjecture. We then use 7d gauged supergravity and a brane polarization computation to access part of the spectrum of KK scalars. The result signals an instability for all non-supersymmetric solutions except those that have a single D8 on each side. We finally look at non-perturbative instabilities, and find that NS5 bubbles make these remaining solutions decay. |
hep-th/9901108 | Marty Stock | P. Ouyang, V. Mohta, and R.L. Jaffe | Dirac Particles in Twisted Tubes | 16 pages, 3 EPS figures, REVTeX using BoxedEPS package; email to
jaffe@mit.edu | Annals Phys. 275 (1999) 297-313 | 10.1006/aphy.1999.5935 | MIT-CTP-2819 | hep-th cond-mat hep-ph nucl-th | null | We consider the dynamics of a relativistic Dirac particle constrained to move
in the interior of a twisted tube by confining boundary conditions, in the
approximation that the curvature of the tube is small and slowly varying. In
contrast with the nonrelativistic theory, which predicts that a particle's spin
does not change as the particle propagates along the tube, we find that the
angular momentum eigenstates of a relativistic spin-1/2 particle may behave
nontrivially. For example, a particle with its angular momentum initially
polarized in the direction of propagation may acquire a nonzero component of
angular momentum in the opposite direction on turning through 2 \pi radians.
Also, the usual nonrelativistic effective potential acquires an additional
factor in the relativistic theory.
| [
{
"created": "Fri, 22 Jan 1999 19:56:59 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ouyang",
"P.",
""
],
[
"Mohta",
"V.",
""
],
[
"Jaffe",
"R. L.",
""
]
] | We consider the dynamics of a relativistic Dirac particle constrained to move in the interior of a twisted tube by confining boundary conditions, in the approximation that the curvature of the tube is small and slowly varying. In contrast with the nonrelativistic theory, which predicts that a particle's spin does not change as the particle propagates along the tube, we find that the angular momentum eigenstates of a relativistic spin-1/2 particle may behave nontrivially. For example, a particle with its angular momentum initially polarized in the direction of propagation may acquire a nonzero component of angular momentum in the opposite direction on turning through 2 \pi radians. Also, the usual nonrelativistic effective potential acquires an additional factor in the relativistic theory. |
hep-th/0405041 | Simeon Hellerman | Simeon Hellerman | On the Landscape of Superstring Theory in D > 10 | 55 pages, 5 figures | null | null | null | hep-th | null | We study a family of unstable heterotic string theories in more than ten
dimensions which are connected via tachyon condensation to the ten-dimensional
supersymmetric vacuum of heterotic string theory with gauge group SO(32).
Calculating the spectrum of these theories, we find evidence for an S-duality
which relates type I string theory in ten dimensions with n additional
ninebrane-antininebrane pairs to heterotic string theory in 10+n dimensions
with gauge group SO(32+n). The Kaluza-Klein modes of the supercritical
dimensions are dual to non-singlet bound states of open strings.
| [
{
"created": "Thu, 6 May 2004 19:57:52 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2004 02:00:51 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hellerman",
"Simeon",
""
]
] | We study a family of unstable heterotic string theories in more than ten dimensions which are connected via tachyon condensation to the ten-dimensional supersymmetric vacuum of heterotic string theory with gauge group SO(32). Calculating the spectrum of these theories, we find evidence for an S-duality which relates type I string theory in ten dimensions with n additional ninebrane-antininebrane pairs to heterotic string theory in 10+n dimensions with gauge group SO(32+n). The Kaluza-Klein modes of the supercritical dimensions are dual to non-singlet bound states of open strings. |
1706.09824 | Massimo Giovannini | Massimo Giovannini | Effective horizons, junction conditions and large-scale magnetism | 12 pages, 1 figure | null | 10.1140/epjc/s10052-017-5105-1 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum mechanical generation of hypermagnetic and hyperlectric fields in
four-dimensional conformally flat background geometries rests on the
simultaneous continuity of the effective horizon and of the extrinsic curvature
across the inflationary boundary. The junction conditions for the gauge fields
are derived in general terms and corroborated by explicit examples with
particular attention to the limit of a sudden (but nonetheless continuous)
transition of the effective horizon. After reducing the dynamics to a pair of
integral equations related by duality transformations, we compute the power
spectra and deduce a novel class of logarithmic corrections which turn out to
be, however, numerically insignificant and overwhelmed by the conductivity
effects once the gauge modes reenter the effective horizon. In this perspective
the magnetogenesis requirements and the role of the postinflationary
conductivity are clarified and reappraised. As long as the total duration of
the inflationary phase is nearly minimal, quasi-flat hypermagnetic power
spectra are comparatively more common than in the case of vacuum initial data.
| [
{
"created": "Thu, 29 Jun 2017 16:05:23 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Giovannini",
"Massimo",
""
]
] | The quantum mechanical generation of hypermagnetic and hyperlectric fields in four-dimensional conformally flat background geometries rests on the simultaneous continuity of the effective horizon and of the extrinsic curvature across the inflationary boundary. The junction conditions for the gauge fields are derived in general terms and corroborated by explicit examples with particular attention to the limit of a sudden (but nonetheless continuous) transition of the effective horizon. After reducing the dynamics to a pair of integral equations related by duality transformations, we compute the power spectra and deduce a novel class of logarithmic corrections which turn out to be, however, numerically insignificant and overwhelmed by the conductivity effects once the gauge modes reenter the effective horizon. In this perspective the magnetogenesis requirements and the role of the postinflationary conductivity are clarified and reappraised. As long as the total duration of the inflationary phase is nearly minimal, quasi-flat hypermagnetic power spectra are comparatively more common than in the case of vacuum initial data. |
0709.3582 | Rolando Gaitan Deveras RGD | Pio J. Arias (UCV), Rolando Gaitan Deveras (UC) | Selfdual Spin 2 Theory in a 2+1 Dimensional Constant Curvature
Space-Time | 20 pages, references added, little modifications performed | Front.Phys.China 4:517-524,2009 | 10.1007/s11467-009-0073-z | null | hep-th | null | The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a
2+1 dimensional flat space-time and its extension to a curved one, are
performed. Demanding consistence of degrees of freedom in the model with
gravitational interaction, gives rise to physical restrictions on non minimal
coupling terms and background. Finally, a constant curvature scenario is
explored, showing the existence of forbidden mass values. Causality in these
spaces is discussed. Aspects related with the construction of the reduced
action and the one-particle exchange amplitude, are noted.
| [
{
"created": "Sat, 22 Sep 2007 14:58:29 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2007 01:06:42 GMT",
"version": "v2"
}
] | 2010-01-26 | [
[
"Arias",
"Pio J.",
"",
"UCV"
],
[
"Deveras",
"Rolando Gaitan",
"",
"UC"
]
] | The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted. |
hep-th/0105236 | Mohammad Reza Setare | M. R. Setare | Casimir stress for concentric spheres in de Sitter space | 8 pages, no figure | Class.Quant.Grav. 18 (2001) 4823-4830 | 10.1088/0264-9381/18/22/308 | null | hep-th | null | The Casimir stress on two concentric spherical shell in de Sitter background
for massless scalar field is calculated. The scalar field satisfies Dirichlet
boundary conditions on the spheres. The metric is written in conformally flat
form to make maximum use of Minkowski space calculations. Then the Casimir
stress is calculated for inside and outside of the shell with different
backgrounds. This model may be used to study the effect of the Casimir stress
on the dynamics of the domain wall formation in inflationary models of early
universe.
| [
{
"created": "Wed, 23 May 2001 09:54:51 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Setare",
"M. R.",
""
]
] | The Casimir stress on two concentric spherical shell in de Sitter background for massless scalar field is calculated. The scalar field satisfies Dirichlet boundary conditions on the spheres. The metric is written in conformally flat form to make maximum use of Minkowski space calculations. Then the Casimir stress is calculated for inside and outside of the shell with different backgrounds. This model may be used to study the effect of the Casimir stress on the dynamics of the domain wall formation in inflationary models of early universe. |
hep-th/9505089 | Philip Gibbs | Phil E. Gibbs | Event-Symmetric Physics | 37 pages, TeX | null | null | PEG-04-95 | hep-th | null | I examine various aspects of event-symmetric physics such as phase changes,
symmetry breaking and duality by studying a number of simple toy-models.
| [
{
"created": "Tue, 16 May 1995 07:46:01 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gibbs",
"Phil E.",
""
]
] | I examine various aspects of event-symmetric physics such as phase changes, symmetry breaking and duality by studying a number of simple toy-models. |
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