id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0305134 | Nicholas Halmagyi | Nick Halmagyi and Vadim Yasnov | Chern-Simons Matrix Models and Unoriented Strings | 28 pages, 2 figures V2: re-organised for clarity, results unchanged | JHEP 0402 (2004) 002 | 10.1088/1126-6708/2004/02/002 | null | hep-th | null | For matrix models with measure on the Lie algebra of SO/Sp, the sub-leading
free energy is given by F_{1}(S)=\pm{1/4}\frac{\del F_{0}(S)}{\del S}.
Motivated by the fact that this relationship does not hold for Chern-Simons
theory on S^{3}, we calculate the sub-leading free energy in the matrix model
for this theory, which is a Gaussian matrix model with Haar measure on the
group SO/Sp. We derive a quantum loop equation for this matrix model and then
find that F_{1} is an integral of the leading order resolvent over the spectral
curve. We explicitly calculate this integral for quadratic potential and find
agreement with previous studies of SO/Sp Chern-Simons theory.
| [
{
"created": "Thu, 15 May 2003 20:52:22 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2003 00:57:23 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Halmagyi",
"Nick",
""
],
[
"Yasnov",
"Vadim",
""
]
] | For matrix models with measure on the Lie algebra of SO/Sp, the sub-leading free energy is given by F_{1}(S)=\pm{1/4}\frac{\del F_{0}(S)}{\del S}. Motivated by the fact that this relationship does not hold for Chern-Simons theory on S^{3}, we calculate the sub-leading free energy in the matrix model for this theory, which is a Gaussian matrix model with Haar measure on the group SO/Sp. We derive a quantum loop equation for this matrix model and then find that F_{1} is an integral of the leading order resolvent over the spectral curve. We explicitly calculate this integral for quadratic potential and find agreement with previous studies of SO/Sp Chern-Simons theory. |
hep-th/0310216 | Grigorii Pivovarov | V.T.Kim, G.B.Pivovarov, J.P.Vary | Phase Transition in Light-Front $\phi^4_{1+1}$ | 13 pages | Phys.Rev. D69 (2004) 085008 | 10.1103/PhysRevD.69.085008 | null | hep-th | null | We reproduce Chang's duality condition in a regularized $\phi^4_{1+1}$ theory
quantized on a light front. The regularization involves higher derivatives in
the Lagrangian, renders the model finite in the ultraviolet, and does not
require introduction of a finite size of the system. It is demonstrated that
the light-front quantization is a natural way to treat systems with higher
derivatives. The phase transition is related to the presence of tachyons in the
regularized theory. Prospects for computing the critical coupling in this
formulation are briefly discussed.
| [
{
"created": "Thu, 23 Oct 2003 14:57:34 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kim",
"V. T.",
""
],
[
"Pivovarov",
"G. B.",
""
],
[
"Vary",
"J. P.",
""
]
] | We reproduce Chang's duality condition in a regularized $\phi^4_{1+1}$ theory quantized on a light front. The regularization involves higher derivatives in the Lagrangian, renders the model finite in the ultraviolet, and does not require introduction of a finite size of the system. It is demonstrated that the light-front quantization is a natural way to treat systems with higher derivatives. The phase transition is related to the presence of tachyons in the regularized theory. Prospects for computing the critical coupling in this formulation are briefly discussed. |
1310.1790 | Ahmed Farag Ali | Ahmed Farag Ali | Emergence of Cosmic Space and Minimal Length in Quantum Gravity | 10 pages, revtex4, 1 figure, to match published version in PLB | Phys. Lett. B 732 (2014) 335 | 10.1016/j.physletb.2014.04.011 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An emergence of cosmic space has been suggested by Padmanabhan in
[arXiv:1206.4916]. This new interesting approach argues that the expansion of
the universe is due to the difference between the number of degrees of freedom
on a holographic surface and the one in the emerged bulk. In this paper, we
derive, using emergence of cosmic space framework, the general dynamical
equation of FRW universe filled with a perfect fluid by considering a generic
form of the entropy as a function of area. Our derivation is considered as a
generalization of emergence of cosmic space with a general form of entropy. We
apply our equation with higher dimensional spacetime and derive modified
Friedmann equation in Gauss-Bonnet gravity. We then apply our derived equation
with the corrected entropy-area law that follows from Generalized Uncertainty
Principle (GUP) and derive a modified Friedmann equations due to the GUP. We
then derive the modified Raychaudhuri equation due to GUP in emergence of
cosmic space framework and investigate it using fixed point method. Studying
this modified Raychaudhuri equation leads to non-singular solutions which may
resolve singularities in FRW universe.
| [
{
"created": "Mon, 7 Oct 2013 14:12:46 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Apr 2014 00:25:17 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Apr 2014 10:03:19 GMT",
"version": "v3"
}
] | 2014-04-17 | [
[
"Ali",
"Ahmed Farag",
""
]
] | An emergence of cosmic space has been suggested by Padmanabhan in [arXiv:1206.4916]. This new interesting approach argues that the expansion of the universe is due to the difference between the number of degrees of freedom on a holographic surface and the one in the emerged bulk. In this paper, we derive, using emergence of cosmic space framework, the general dynamical equation of FRW universe filled with a perfect fluid by considering a generic form of the entropy as a function of area. Our derivation is considered as a generalization of emergence of cosmic space with a general form of entropy. We apply our equation with higher dimensional spacetime and derive modified Friedmann equation in Gauss-Bonnet gravity. We then apply our derived equation with the corrected entropy-area law that follows from Generalized Uncertainty Principle (GUP) and derive a modified Friedmann equations due to the GUP. We then derive the modified Raychaudhuri equation due to GUP in emergence of cosmic space framework and investigate it using fixed point method. Studying this modified Raychaudhuri equation leads to non-singular solutions which may resolve singularities in FRW universe. |
hep-th/9608021 | null | J.D.Correia and J.F.Wheater | A simple model of dimensional collapse | 10 pages, plain Latex | Phys.Lett. B388 (1996) 707-712 | 10.1016/S0370-2693(96)01223-3 | OUTP-96-45P | hep-th | null | We consider a simple model of d families of scalar field interacting with
geometry in two dimensions. The geometry is locally flat and has only global
degrees of freedom. When d<0 the universe is locally two dimensional but for
d>0 it collapses to a one dimensional manifold. The model has some, but not
all, of the characteristics believed to be features of the full theory of
conformal matter interacting with quantum gravity which has local geometric
degrees of freedom.
| [
{
"created": "Mon, 5 Aug 1996 10:41:15 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Correia",
"J. D.",
""
],
[
"Wheater",
"J. F.",
""
]
] | We consider a simple model of d families of scalar field interacting with geometry in two dimensions. The geometry is locally flat and has only global degrees of freedom. When d<0 the universe is locally two dimensional but for d>0 it collapses to a one dimensional manifold. The model has some, but not all, of the characteristics believed to be features of the full theory of conformal matter interacting with quantum gravity which has local geometric degrees of freedom. |
hep-th/0307142 | Andrew Frey | Andrew R. Frey and Mariana Grana | Type IIB Solutions with Interpolating Supersymmetries | 27pp, v2 REVTeX4, typographical fixes and minor clarifications, v3
added ref, modified discussion of RR axion slightly | Phys.Rev. D68 (2003) 106002 | 10.1103/PhysRevD.68.106002 | null | hep-th | null | We study type IIB supergravity solutions with four supersymmetries that
interpolate between two types widely considered in the literature: the dual of
Becker and Becker's compactifications of M-theory to 3 dimensions and the dual
of Strominger's torsion compactifications of heterotic theory to 4 dimensions.
We find that for all intermediate solutions the internal manifold is not
Calabi-Yau, but has SU(3) holonomy in a connection with a torsion given by the
3-form flux. All 3-form and 5-form fluxes, as well as the dilaton, depend on
one function appearing in the supersymmetry spinor, which satisfies a nonlinear
differential equation. We check that the fields corresponding to a flat bound
state of D3/D5-branes lie in our class of solutions. The relations among
supergravity fields that we derive should be useful in studying new gravity
duals of gauge theories, as well as possibly compactifications.
| [
{
"created": "Tue, 15 Jul 2003 19:34:30 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 2003 22:09:34 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jul 2003 20:30:42 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Frey",
"Andrew R.",
""
],
[
"Grana",
"Mariana",
""
]
] | We study type IIB supergravity solutions with four supersymmetries that interpolate between two types widely considered in the literature: the dual of Becker and Becker's compactifications of M-theory to 3 dimensions and the dual of Strominger's torsion compactifications of heterotic theory to 4 dimensions. We find that for all intermediate solutions the internal manifold is not Calabi-Yau, but has SU(3) holonomy in a connection with a torsion given by the 3-form flux. All 3-form and 5-form fluxes, as well as the dilaton, depend on one function appearing in the supersymmetry spinor, which satisfies a nonlinear differential equation. We check that the fields corresponding to a flat bound state of D3/D5-branes lie in our class of solutions. The relations among supergravity fields that we derive should be useful in studying new gravity duals of gauge theories, as well as possibly compactifications. |
1204.3973 | Sang Pyo Kim | Sang Pyo Kim (Kunsan Nat'l Univ.) | Lessons from Schwinger Effective Action for Black Holes | LaTex 6 pages, 1 figure; ICGAC10, Dec. 17-22, 2011, Quy-Nhon, Vietnam | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the Hawking radiation by comparing the effective actions in the
in-out formalism, and advance an interpretation of the vacuum polarization and
the Hawking radiation. The equivalence exists between the spinor QED effective
action in a constant electric field and the nonperturbative effective action of
a massless boson on the horizon of a Schwarzschild black hole.
| [
{
"created": "Wed, 18 Apr 2012 04:57:43 GMT",
"version": "v1"
}
] | 2012-04-19 | [
[
"Kim",
"Sang Pyo",
"",
"Kunsan Nat'l Univ."
]
] | We revisit the Hawking radiation by comparing the effective actions in the in-out formalism, and advance an interpretation of the vacuum polarization and the Hawking radiation. The equivalence exists between the spinor QED effective action in a constant electric field and the nonperturbative effective action of a massless boson on the horizon of a Schwarzschild black hole. |
1612.06386 | Daniel Plencner | Constantin Bachas, Daniel Plencner | Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models | 24 pages | null | 10.1007/JHEP03(2017)034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the trace and axial anomalies of $\mathcal{N}=(2,2)$
superconformal theories with exactly marginal deformations, on a surface with
boundary. Extending recent work by Gomis et al, we derive the boundary
contribution that captures the anomalous scale dependence of the one-point
functions of exactly marginal operators. Integration of the bulk super-Weyl
anomaly shows that the sphere partition function computes the K\"ahler
potential $K(\lambda, \bar\lambda)$ on the superconformal manifold. Likewise,
our results confirm the conjecture that the partition function on the
supersymmetric hemisphere computes the holomorphic central charge,
$c^\Omega(\lambda)$, associated with the boundary condition $\Omega$. The
boundary entropy, given by a ratio of hemispheres and sphere, is therefore
fully determined by anomalies.
| [
{
"created": "Mon, 19 Dec 2016 21:00:01 GMT",
"version": "v1"
}
] | 2017-04-05 | [
[
"Bachas",
"Constantin",
""
],
[
"Plencner",
"Daniel",
""
]
] | We calculate the trace and axial anomalies of $\mathcal{N}=(2,2)$ superconformal theories with exactly marginal deformations, on a surface with boundary. Extending recent work by Gomis et al, we derive the boundary contribution that captures the anomalous scale dependence of the one-point functions of exactly marginal operators. Integration of the bulk super-Weyl anomaly shows that the sphere partition function computes the K\"ahler potential $K(\lambda, \bar\lambda)$ on the superconformal manifold. Likewise, our results confirm the conjecture that the partition function on the supersymmetric hemisphere computes the holomorphic central charge, $c^\Omega(\lambda)$, associated with the boundary condition $\Omega$. The boundary entropy, given by a ratio of hemispheres and sphere, is therefore fully determined by anomalies. |
1801.01137 | Zicao Fu | Zicao Fu, Alexander Maloney, Donald Marolf, Henry Maxfield, Zhencheng
Wang | Holographic complexity is nonlocal | 17 pages, 4 figures; v2: minor modifications | JHEP02(2018)072 | 10.1007/JHEP02(2018)072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the "complexity equals volume" (CV) and "complexity equals action"
(CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$
wormholes having $n$ asymptotic regions and arbitrary (orientable) internal
topology. For either prescription, the complexity relative to $n$ copies of the
$M=0$ BTZ black hole takes the form $\Delta C = \alpha c \chi $, where $c$ is
the central charge and $\chi$ is the Euler character of the bulk time-symmetric
surface. The coefficients $\alpha_V = -4\pi/3$, $\alpha_A = 1/6 $ defined by CV
and CA are independent of both temperature and any moduli controlling the
geometry inside the black hole. Comparing with the known structure of dual CFT
states in the hot wormhole limit, the temperature and moduli independence of
$\alpha_V$, $\alpha_A$ implies that any CFT gate set defining either complexity
cannot be local. In particular, the complexity of an efficient quantum circuit
building local thermofield-double-like entanglement of thermal-sized patches
does not depend on the separation of the patches so entangled. We also comment
on implications of the (positive) sign found for $\alpha_A$, which requires the
associated complexity to decrease when handles are added to our wormhole.
| [
{
"created": "Wed, 3 Jan 2018 19:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 2018 02:04:45 GMT",
"version": "v2"
}
] | 2018-02-15 | [
[
"Fu",
"Zicao",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Marolf",
"Donald",
""
],
[
"Maxfield",
"Henry",
""
],
[
"Wang",
"Zhencheng",
""
]
] | We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$ wormholes having $n$ asymptotic regions and arbitrary (orientable) internal topology. For either prescription, the complexity relative to $n$ copies of the $M=0$ BTZ black hole takes the form $\Delta C = \alpha c \chi $, where $c$ is the central charge and $\chi$ is the Euler character of the bulk time-symmetric surface. The coefficients $\alpha_V = -4\pi/3$, $\alpha_A = 1/6 $ defined by CV and CA are independent of both temperature and any moduli controlling the geometry inside the black hole. Comparing with the known structure of dual CFT states in the hot wormhole limit, the temperature and moduli independence of $\alpha_V$, $\alpha_A$ implies that any CFT gate set defining either complexity cannot be local. In particular, the complexity of an efficient quantum circuit building local thermofield-double-like entanglement of thermal-sized patches does not depend on the separation of the patches so entangled. We also comment on implications of the (positive) sign found for $\alpha_A$, which requires the associated complexity to decrease when handles are added to our wormhole. |
hep-th/9703209 | Dr R. Szabo | Ian I. Kogan and Richard J. Szabo | Matrix Strings in Two-dimensional Yang-Mills Theory | 15 pages LaTeX; 1 .ps file included, uses psfig.sty | Phys.Lett. B404 (1997) 276-284 | 10.1016/S0370-2693(97)00569-8 | OUTP-97-15P | hep-th | null | We describe the structure of string vacuum states in the supersymmetric
matrix model for M theory compactified on a circle in the large-N limit. We
show that the theory admits topological instanton field configurations which at
short-distance scales reduce to ordinary Yang-Mills instantons that interpolate
between degenerate vacua of the theory. We show that there exists further
classes of hadronic strings associated with the D-string super-fields. We
discuss the relationships between these non-perturbative string states and
rigid QCD strings, critical strings, and membrane states.
| [
{
"created": "Sat, 29 Mar 1997 12:15:16 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kogan",
"Ian I.",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We describe the structure of string vacuum states in the supersymmetric matrix model for M theory compactified on a circle in the large-N limit. We show that the theory admits topological instanton field configurations which at short-distance scales reduce to ordinary Yang-Mills instantons that interpolate between degenerate vacua of the theory. We show that there exists further classes of hadronic strings associated with the D-string super-fields. We discuss the relationships between these non-perturbative string states and rigid QCD strings, critical strings, and membrane states. |
hep-th/9811002 | Katsushi Ito | Katsushi Ito | Extended Superconformal Algebras on AdS_{3} | 11 pages, latex; a reference added | Phys.Lett. B449 (1999) 48-55 | 10.1016/S0370-2693(99)00070-2 | YITP-98-74 | hep-th | null | We study a supersymmetric extension of the Virasoro algebra on the boundary
of the anti-de Sitter space-time AdS_{3}. Using the free field realization of
the currents, we show that the world-sheet affine Lie superalgebras
osp(1|2)^{(1)}, sl(1|2)^{(1)} and sl(2|2)^{(1)} provide the boundary N=1,2 and
4 extended superconformal algebras, respectively.
| [
{
"created": "Sat, 31 Oct 1998 12:58:19 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 1998 18:45:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ito",
"Katsushi",
""
]
] | We study a supersymmetric extension of the Virasoro algebra on the boundary of the anti-de Sitter space-time AdS_{3}. Using the free field realization of the currents, we show that the world-sheet affine Lie superalgebras osp(1|2)^{(1)}, sl(1|2)^{(1)} and sl(2|2)^{(1)} provide the boundary N=1,2 and 4 extended superconformal algebras, respectively. |
2212.12553 | Adrien Fiorucci | Laura Donnay, Adrien Fiorucci, Yannick Herfray, Romain Ruzziconi | Bridging Carrollian and Celestial Holography | 77 pages, 4 figures. Published version in Phys. Rev. D (Editors'
Suggestion) | Phys. Rev. D 107 (2023), no. 12, 126027 | 10.1103/PhysRevD.107.126027 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal
example of a gravitational system with leaky boundary conditions. Pursuing our
analysis of [1], we argue that the holographic description of such a system
requires the coupling of the dual theory living at null infinity to some
external sources encoding the radiation reaching the conformal boundary and
responsible for the non-conservation of the charges. In particular, we show
that the sourced Ward identities of a conformal Carrollian field theory living
at null infinity reproduce the BMS flux-balance laws. We also derive the
general form of low-point correlation functions for conformal Carrollian field
theories and exhibit a new branch of solutions, which is argued to be the
relevant one for holographic purposes. We then relate our Carrollian approach
to the celestial holography proposal by mapping the Carrollian Ward identities
to those constraining celestial operators through a suitable integral
transform.
| [
{
"created": "Fri, 23 Dec 2022 19:14:18 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2023 15:13:48 GMT",
"version": "v2"
}
] | 2023-07-03 | [
[
"Donnay",
"Laura",
""
],
[
"Fiorucci",
"Adrien",
""
],
[
"Herfray",
"Yannick",
""
],
[
"Ruzziconi",
"Romain",
""
]
] | Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the coupling of the dual theory living at null infinity to some external sources encoding the radiation reaching the conformal boundary and responsible for the non-conservation of the charges. In particular, we show that the sourced Ward identities of a conformal Carrollian field theory living at null infinity reproduce the BMS flux-balance laws. We also derive the general form of low-point correlation functions for conformal Carrollian field theories and exhibit a new branch of solutions, which is argued to be the relevant one for holographic purposes. We then relate our Carrollian approach to the celestial holography proposal by mapping the Carrollian Ward identities to those constraining celestial operators through a suitable integral transform. |
hep-th/9904021 | null | G. Dvali and M. Shifman | Tilting the Brane, or Some Cosmological Consequences of the Brane
Universe | Latex, 13 pages, 2 eps figures. To appear in L.B. Okun Festschrift,
Eds. V. Telegdi and K. Winter, to be published by North Holland | Phys.Rept.320:107-118,1999 | 10.1016/S0370-1573(99)00066-6 | TPI-MINN-99/03-T, UMN-TH-1739/99 | hep-th astro-ph hep-ph | null | We discuss theories in which the standard-model particles are localized on a
brane embedded in space-time with large compact extra dimensions, whereas
gravity propagates in the bulk. In addition to the ground state corresponding
to a straight infinite brane, such theories admit a (one parameter) family of
stable configurations corresponding to branes wrapping with certain periodicity
around the extra dimension(s) when one moves along a noncompact coordinate
(tilted walls). In the effective four-dimensional field-theory picture, such
walls are interpreted as one of the (stable) solutions with the constant
gradient energy, discussed earlier. In the cosmological context their energy
"redshifts" by the Hubble expansion and dissipates slower then the one in
matter or radiation. The tilted wall eventually starts to dominate the
Universe. The upper bound on the energy density coincides with the present
critical energy density. Thus, this mechanism can become significant any time
in the future. The solutions we discuss are characterized by a tiny spontaneous
breaking of both the Lorentz and rotational invariances. Small calculable
Lorentz noninvariant terms in the standard-model Lagrangian are induced. Thus,
the tilted walls provide a framework for the spontaneous breaking of the
Lorentz invariance.
| [
{
"created": "Sat, 3 Apr 1999 22:02:08 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Dvali",
"G.",
""
],
[
"Shifman",
"M.",
""
]
] | We discuss theories in which the standard-model particles are localized on a brane embedded in space-time with large compact extra dimensions, whereas gravity propagates in the bulk. In addition to the ground state corresponding to a straight infinite brane, such theories admit a (one parameter) family of stable configurations corresponding to branes wrapping with certain periodicity around the extra dimension(s) when one moves along a noncompact coordinate (tilted walls). In the effective four-dimensional field-theory picture, such walls are interpreted as one of the (stable) solutions with the constant gradient energy, discussed earlier. In the cosmological context their energy "redshifts" by the Hubble expansion and dissipates slower then the one in matter or radiation. The tilted wall eventually starts to dominate the Universe. The upper bound on the energy density coincides with the present critical energy density. Thus, this mechanism can become significant any time in the future. The solutions we discuss are characterized by a tiny spontaneous breaking of both the Lorentz and rotational invariances. Small calculable Lorentz noninvariant terms in the standard-model Lagrangian are induced. Thus, the tilted walls provide a framework for the spontaneous breaking of the Lorentz invariance. |
1001.1289 | Feng-Li Lin | Takayuki Hirayama, Pei-Wen Kao, Shoichi Kawamoto and Feng-Li Lin | Unruh Effect and Holography | 1+26 pages, 12 figures; v2 minor correction, v3, v4 typos corrected
and subtlety clarified;v5 to appear on NPB | Nucl.Phys.B844:1-25,2011 | 10.1016/j.nuclphysb.2010.10.018 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Unruh effect on the dynamics of quarks and mesons in the context
of AdS$_5$/CFT$_4$ correspondence. We adopt an AdS$_5$ metric with the boundary
Rindler horizon extending into a bulk Rindler-like horizon, which yields the
thermodynamics with Unruh temperature verified by computing the boundary stress
tensor. We then embed in it a probe fundamental string and a $D7$ brane in such
a way that they become the dual of an accelerated quark and a meson in
Minkowski space, respectively. Using the standard procedure of holographic
renormalization, we calculate the chiral condensate, and also the spectral
functions for both the accelerated quark and meson. Especially, we extract the
corresponding strength of random force of the Langevin dynamics and observe
that it can characterize the phase transition of meson melting. This result
raises an issue toward a formulation of complementarity principle for the
Rindler horizon. We find most of the dynamical features are qualitatively
similar to the ones in the thermal bath dual to the AdS black hole background,
though they could be quite different quantitatively.
| [
{
"created": "Fri, 8 Jan 2010 14:43:43 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2010 01:52:28 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Mar 2010 04:23:33 GMT",
"version": "v3"
},
{
"created": "Wed, 23 Jun 2010 16:45:05 GMT",
"version": "v4"
},
{
"cr... | 2010-11-30 | [
[
"Hirayama",
"Takayuki",
""
],
[
"Kao",
"Pei-Wen",
""
],
[
"Kawamoto",
"Shoichi",
""
],
[
"Lin",
"Feng-Li",
""
]
] | We study the Unruh effect on the dynamics of quarks and mesons in the context of AdS$_5$/CFT$_4$ correspondence. We adopt an AdS$_5$ metric with the boundary Rindler horizon extending into a bulk Rindler-like horizon, which yields the thermodynamics with Unruh temperature verified by computing the boundary stress tensor. We then embed in it a probe fundamental string and a $D7$ brane in such a way that they become the dual of an accelerated quark and a meson in Minkowski space, respectively. Using the standard procedure of holographic renormalization, we calculate the chiral condensate, and also the spectral functions for both the accelerated quark and meson. Especially, we extract the corresponding strength of random force of the Langevin dynamics and observe that it can characterize the phase transition of meson melting. This result raises an issue toward a formulation of complementarity principle for the Rindler horizon. We find most of the dynamical features are qualitatively similar to the ones in the thermal bath dual to the AdS black hole background, though they could be quite different quantitatively. |
hep-th/0012108 | DaeKil Park | D.K. Park, S. Tamaryan, H.J.W. M\"uller-Kirsten | The Structure of D2-Branes in the Presence of an RR field | 11 pages, 2 postscript figures, v2 a significantly revised including
title, v3 expression of energy for D2 brane is improved, version to appear in
JHEP | JHEP 0205:009,2002 | 10.1088/1126-6708/2002/05/009 | null | hep-th | null | A Born--Infeld theory describing a $D2$--brane coupled to a 3--form RR
potential is reconsidered and a new type of static solution is obtained which
is even stable.
| [
{
"created": "Wed, 13 Dec 2000 01:42:43 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2001 04:15:39 GMT",
"version": "v2"
},
{
"created": "Wed, 8 May 2002 01:58:17 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Park",
"D. K.",
""
],
[
"Tamaryan",
"S.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
]
] | A Born--Infeld theory describing a $D2$--brane coupled to a 3--form RR potential is reconsidered and a new type of static solution is obtained which is even stable. |
hep-th/9812083 | Bayram Tekin | Bayram Tekin | Monopole-Instanton Type Solutions In 3D Gravity | 7 pages, major conceptual changes were made, title has changed | null | null | UMN-TH-1732/98, TPI-MINN-98/28-T | hep-th gr-qc | null | Three dimensional Euclidean gravity in the dreibein-spin connection formalism
is investigated. We use the monopole-instanton ansatz for the dreibein and the
spin connection. The equations of motion are solved. We point out a two
dimensional solution with a vanishing action.
| [
{
"created": "Wed, 9 Dec 1998 19:42:26 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 1998 05:22:23 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jan 1999 03:35:02 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Tekin",
"Bayram",
""
]
] | Three dimensional Euclidean gravity in the dreibein-spin connection formalism is investigated. We use the monopole-instanton ansatz for the dreibein and the spin connection. The equations of motion are solved. We point out a two dimensional solution with a vanishing action. |
0907.2276 | Marcus Spradlin | Dung Nguyen, Marcus Spradlin, Anastasia Volovich, Congkao Wen | The Tree Formula for MHV Graviton Amplitudes | 18 pages, v2: note added | JHEP 1007:045,2010 | 10.1007/JHEP07(2010)045 | Brown-HET-1584 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present and prove a formula for the MHV scattering amplitude of n
gravitons at tree level. Some of the more interesting features of the formula,
which set it apart as being significantly different from many more familiar
formulas, include the absence of any vestigial reference to a cyclic ordering
of the gravitons--making it in a sense a truly gravitational formula, rather
than a recycled Yang-Mills result, and the fact that it simultaneously
manifests both S_{n-2} symmetry as well as large-z behavior that is O(1/z^2)
term-by-term, without relying on delicate cancellations. The formula is
seemingly related to others by an enormous simplification provided by O(n^n)
iterated Schouten identities, but our proof relies on a complex analysis
argument rather than such a brute force manipulation. We find that the formula
has a very simple link representation in twistor space, where cancellations
that are non-obvious in physical space become manifest.
| [
{
"created": "Tue, 14 Jul 2009 19:04:54 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Oct 2009 23:49:49 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Nguyen",
"Dung",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
],
[
"Wen",
"Congkao",
""
]
] | We present and prove a formula for the MHV scattering amplitude of n gravitons at tree level. Some of the more interesting features of the formula, which set it apart as being significantly different from many more familiar formulas, include the absence of any vestigial reference to a cyclic ordering of the gravitons--making it in a sense a truly gravitational formula, rather than a recycled Yang-Mills result, and the fact that it simultaneously manifests both S_{n-2} symmetry as well as large-z behavior that is O(1/z^2) term-by-term, without relying on delicate cancellations. The formula is seemingly related to others by an enormous simplification provided by O(n^n) iterated Schouten identities, but our proof relies on a complex analysis argument rather than such a brute force manipulation. We find that the formula has a very simple link representation in twistor space, where cancellations that are non-obvious in physical space become manifest. |
hep-th/9905213 | Hani Kaldass | A. Bohm, H. Kaldass, S. Wickramasekara, P. Kielanowski | Relativistic Gamow Vectors II | REVTeX, 13 pages | null | null | null | hep-th math-ph math.MP quant-ph | null | Motivated by the debate of possible definitions of mass and width of
resonances for $Z$-boson and hadrons, we suggest a definition of unstable
particles by ``minimally complex'' semigroup representations of the Poincar\'e
group characterized by $(j,{\mathsf s}=(m-i\Gamma/2)^{2})$ in which the Lorentz
subgroup is unitary. This definition, though decidedly distinct from those
based on various renormalization schemes of perturbation theory, is intimately
connected with the first order pole definition of the $S$-matrix theory in that
the complex square mass $(m-i\Gamma/2)^{2}$ characterizing the representation
of the Poincar\'e semigroup is exactly the position ${\mathsf s}_R$ at which
the $S$-matrix has a simple pole. Wigner's representations $(j,m)$ are the
limit case of the complex representations for $\Gamma=0$. These representations
have generalized vectors (Gamow kets) which have, in addition to the $S$-matrix
pole at ${\mathsf s}=(m-i\Gamma/2)^{2}$, all the other properties that
heuristically the unstable states need to possess: a Breit-Wigner distribution
in invariant square mass and a lifetime $\tau=\frac{1}{\Gamma}$ defined by the
exactly exponential law for the decay probability ${\cal P}(t)$ and rate
$\dot{\cal P}(t)$ given by an exact Golden Rule which becomes Dirac's Golden
Rule in the Born-approximation. In addition and unintended, they have an
asymmetric time evolution.
| [
{
"created": "Thu, 27 May 1999 21:18:00 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2000 14:41:30 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bohm",
"A.",
""
],
[
"Kaldass",
"H.",
""
],
[
"Wickramasekara",
"S.",
""
],
[
"Kielanowski",
"P.",
""
]
] | Motivated by the debate of possible definitions of mass and width of resonances for $Z$-boson and hadrons, we suggest a definition of unstable particles by ``minimally complex'' semigroup representations of the Poincar\'e group characterized by $(j,{\mathsf s}=(m-i\Gamma/2)^{2})$ in which the Lorentz subgroup is unitary. This definition, though decidedly distinct from those based on various renormalization schemes of perturbation theory, is intimately connected with the first order pole definition of the $S$-matrix theory in that the complex square mass $(m-i\Gamma/2)^{2}$ characterizing the representation of the Poincar\'e semigroup is exactly the position ${\mathsf s}_R$ at which the $S$-matrix has a simple pole. Wigner's representations $(j,m)$ are the limit case of the complex representations for $\Gamma=0$. These representations have generalized vectors (Gamow kets) which have, in addition to the $S$-matrix pole at ${\mathsf s}=(m-i\Gamma/2)^{2}$, all the other properties that heuristically the unstable states need to possess: a Breit-Wigner distribution in invariant square mass and a lifetime $\tau=\frac{1}{\Gamma}$ defined by the exactly exponential law for the decay probability ${\cal P}(t)$ and rate $\dot{\cal P}(t)$ given by an exact Golden Rule which becomes Dirac's Golden Rule in the Born-approximation. In addition and unintended, they have an asymmetric time evolution. |
hep-th/0503092 | Paul Korbel | Paul Korbel | On Interpretation of Special Relativity: a complement to Covariant
Harmonic Oscillator Picture | LaTex 27 pages, 6 figures (in text now). Presented on Second Feynman
Festival Conference held at the University of Maryland, August 2004, Collage
Park, MD. U.S.A | null | null | null | hep-th | null | In 1971 Feynman, Kislinger and Ravndal [1] proposed Lorentz-invariant
differential equation capable to describe relativistic particle with mass and
internal space-time structure. By making use of new variables that
differentiate between space-time particle position and its space-time
separations, one finds this wave equation to become separable and providing the
two kinds of solutions endowed with different physical meanings. The first kind
constitutes the running waves that represent Klein-Gordon-like particle. The
second kind, widely discussed by Kim and Noz [4], constitutes standing waves
which are normalizable space-time wave functions. To fully appreciate how
valuable theses solutions are it seems necessarily, however, to verify a
general outlook on relativity issue that (still) is in force. It was explained
[5] that Lorentz symmetry should be perceived rather as the symmetry of
preferred frame quantum description (based on the freedom of choice of
comparison scale) than classical Galilean idea realized in a generalized form.
Currently we point to some basic consequences that relate to solutions of
Feynman equation framed in the new approach. In particular (i) Lorentz symmetry
group appears to describe energy-dependent geometry of extended quantum objects
instead of relativity of space and time measure, (ii) a new picture of
particle-wave duality involving running and standing waves emerges, (iii)
space-time localized quantum states are shown to provide a new way of
description of particle kinematics, and (iv) proposed by Witten [14]
generalized form of Heisenberg uncertainty relation is derived and shown be the
integral part of overall non-orthodox approach.
| [
{
"created": "Thu, 10 Mar 2005 16:42:27 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2005 13:30:13 GMT",
"version": "v2"
}
] | 2009-09-29 | [
[
"Korbel",
"Paul",
""
]
] | In 1971 Feynman, Kislinger and Ravndal [1] proposed Lorentz-invariant differential equation capable to describe relativistic particle with mass and internal space-time structure. By making use of new variables that differentiate between space-time particle position and its space-time separations, one finds this wave equation to become separable and providing the two kinds of solutions endowed with different physical meanings. The first kind constitutes the running waves that represent Klein-Gordon-like particle. The second kind, widely discussed by Kim and Noz [4], constitutes standing waves which are normalizable space-time wave functions. To fully appreciate how valuable theses solutions are it seems necessarily, however, to verify a general outlook on relativity issue that (still) is in force. It was explained [5] that Lorentz symmetry should be perceived rather as the symmetry of preferred frame quantum description (based on the freedom of choice of comparison scale) than classical Galilean idea realized in a generalized form. Currently we point to some basic consequences that relate to solutions of Feynman equation framed in the new approach. In particular (i) Lorentz symmetry group appears to describe energy-dependent geometry of extended quantum objects instead of relativity of space and time measure, (ii) a new picture of particle-wave duality involving running and standing waves emerges, (iii) space-time localized quantum states are shown to provide a new way of description of particle kinematics, and (iv) proposed by Witten [14] generalized form of Heisenberg uncertainty relation is derived and shown be the integral part of overall non-orthodox approach. |
1604.03561 | Astrid Eichhorn | Astrid Eichhorn, Lukas Janssen and Michael M. Scherer | Critical O(N) models above four dimensions: Small-N solutions and
stability | 15 pages, 12 figures | Phys. Rev. D 93, 125021 (2016) | 10.1103/PhysRevD.93.125021 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore O(N) models in dimensions $4<d<6$. Specifically, we investigate
models of an O(N) vector field coupled to an additional scalar field via a
cubic interaction. Recent results in $d=6-\epsilon$ have uncovered an
interacting ultraviolet fixed point of the renormalization group (RG) if the
number N of components of the vector field is large enough, suggesting that
these models are asymptotically safe. We set up a functional RG analysis of
these systems to address three key issues: Firstly, we find that in $d=5$ the
interacting fixed point exists all the way down to N=1. Secondly, we show that
the standard O(N) universality classes are actually embedded in those of the
cubic models, in that the latter exhibit the same values for (most of) the
critical exponents, but feature an additional third RG relevant direction.
Thirdly, we address the critical question of global stability of the
fixed-point potential to test whether the fixed point can underly a viable
quantum field theory.
| [
{
"created": "Tue, 12 Apr 2016 20:01:16 GMT",
"version": "v1"
}
] | 2016-06-22 | [
[
"Eichhorn",
"Astrid",
""
],
[
"Janssen",
"Lukas",
""
],
[
"Scherer",
"Michael M.",
""
]
] | We explore O(N) models in dimensions $4<d<6$. Specifically, we investigate models of an O(N) vector field coupled to an additional scalar field via a cubic interaction. Recent results in $d=6-\epsilon$ have uncovered an interacting ultraviolet fixed point of the renormalization group (RG) if the number N of components of the vector field is large enough, suggesting that these models are asymptotically safe. We set up a functional RG analysis of these systems to address three key issues: Firstly, we find that in $d=5$ the interacting fixed point exists all the way down to N=1. Secondly, we show that the standard O(N) universality classes are actually embedded in those of the cubic models, in that the latter exhibit the same values for (most of) the critical exponents, but feature an additional third RG relevant direction. Thirdly, we address the critical question of global stability of the fixed-point potential to test whether the fixed point can underly a viable quantum field theory. |
hep-th/0310156 | Marcelo Botta Cantcheff | Marcelo Botta Cantcheff | Doublet Groups, Extended Lie Algebras, and Well Defined Gauge Theories
for the Two Form Field | Content augmented and improved: explicit construction of the minimal
coupling and the group elements in the general case | Int.J.Mod.Phys. A20 (2005) 2673-2686 | null | null | hep-th | null | We propose a symmetry law for a doublet of different form fields, which
resembles gauge transformations for matter fields. This may be done for general
Lie groups, resulting in an extension of Lie algebras and group manifolds. It
is also shown that non-associative algebras naturally appear in this formalism,
which are briefly discussed.
Afterwards, a general connection which includes a two-form field is
settled-down, solving the problem of setting a gauge theory for the Kalb-Ramond
field for generical groups.
Topological Chern-Simons theories can also be defined in four dimensions, and
this approach clarifies their relation to the so-called $B \wedge F$-theories.
We also revise some standard aspects of Kalb-Ramond theories in view of these
new perspectives.
Since this gauge connection is built upon a pair of fields consisting of a
one-form and a two-form, one may define Yang-Mills theories as usually and,
remarkably, also {\it minimal coupling} with bosonic matter, where the
Kalb-Ramond field appears naturally as mediator; so, a new associated conserved
charge can be defined. For the Abelian case, we explicitly construct the
minimal interaction between $B$-field and matter following a "gauge principle"
and find a novel conserved tensor current. This is our most significative
result from the physical viewpoint.
This framework is also generalized in such a way that any $p$-rank tensor may
be formulated as a gauge field.
| [
{
"created": "Thu, 16 Oct 2003 12:35:33 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Aug 2004 22:11:39 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Cantcheff",
"Marcelo Botta",
""
]
] | We propose a symmetry law for a doublet of different form fields, which resembles gauge transformations for matter fields. This may be done for general Lie groups, resulting in an extension of Lie algebras and group manifolds. It is also shown that non-associative algebras naturally appear in this formalism, which are briefly discussed. Afterwards, a general connection which includes a two-form field is settled-down, solving the problem of setting a gauge theory for the Kalb-Ramond field for generical groups. Topological Chern-Simons theories can also be defined in four dimensions, and this approach clarifies their relation to the so-called $B \wedge F$-theories. We also revise some standard aspects of Kalb-Ramond theories in view of these new perspectives. Since this gauge connection is built upon a pair of fields consisting of a one-form and a two-form, one may define Yang-Mills theories as usually and, remarkably, also {\it minimal coupling} with bosonic matter, where the Kalb-Ramond field appears naturally as mediator; so, a new associated conserved charge can be defined. For the Abelian case, we explicitly construct the minimal interaction between $B$-field and matter following a "gauge principle" and find a novel conserved tensor current. This is our most significative result from the physical viewpoint. This framework is also generalized in such a way that any $p$-rank tensor may be formulated as a gauge field. |
hep-th/0610334 | Valentin V. Khoze | Steven A. Abel, Chong-Sun Chu, Joerg Jaeckel, Valentin V. Khoze | SUSY breaking by a metastable ground state: Why the early Universe
preferred the non-supersymmetric vacuum | 17 pages, 3 figures, v3: References added, minor corrections | JHEP 0701:089,2007 | 10.1088/1126-6708/2007/01/089 | IPPP/06/76, DCPT/06/152 | hep-th astro-ph hep-ph | null | Supersymmetry breaking in a metastable vacuum is re-examined in a
cosmological context. It is shown that thermal effects generically drive the
Universe to the metastable minimum even if it begins in the
supersymmetry-preserving one. This is a generic feature of the ISS models of
metastable supersymmetry breaking due to the fact that SUSY preserving vacua
contain fewer light degrees of freedom than the metastable ground state at the
origin. These models of metastable SUSY breaking are thus placed on an equal
footing with the more usual dynamical SUSY breaking scenarios.
| [
{
"created": "Tue, 31 Oct 2006 19:33:29 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2006 15:22:54 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jan 2007 11:35:38 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Abel",
"Steven A.",
""
],
[
"Chu",
"Chong-Sun",
""
],
[
"Jaeckel",
"Joerg",
""
],
[
"Khoze",
"Valentin V.",
""
]
] | Supersymmetry breaking in a metastable vacuum is re-examined in a cosmological context. It is shown that thermal effects generically drive the Universe to the metastable minimum even if it begins in the supersymmetry-preserving one. This is a generic feature of the ISS models of metastable supersymmetry breaking due to the fact that SUSY preserving vacua contain fewer light degrees of freedom than the metastable ground state at the origin. These models of metastable SUSY breaking are thus placed on an equal footing with the more usual dynamical SUSY breaking scenarios. |
hep-th/0110189 | Pablo Minces | Pablo Minces, Victor O. Rivelles | Energy and the AdS/CFT Correspondence | 64 pages, LaTeX, v2 one reference added and minor changes v3 minor
changes and corrections | JHEP 0112:010,2001 | 10.1088/1126-6708/2001/12/010 | null | hep-th | null | We consider a scalar field theory on AdS in both minimally and non-minimally
coupled cases. We show that there exist constraints which arise in the
quantization of the scalar field theory on AdS which cannot be reproduced
through the usual AdS/CFT prescription. We argue that the usual energy, defined
through the stress-energy tensor, is not the natural one to be considered in
the context of the AdS/CFT correspondence. We analyze a new definition of the
energy which makes use of the Noether current corresponding to time
displacements in global coordinates. We compute the new energy for Dirichlet,
Neumann and mixed boundary conditions on the scalar field and for both the
minimally and non-minimally coupled cases. Then, we perform the quantization of
the scalar field theory on AdS showing that, for `regular' and `irregular'
modes, the new energy is conserved, positive and finite. We show that the
quantization gives rise, in a natural way, to a generalized AdS/CFT
prescription which maps to the boundary all the information contained in the
bulk. In particular, we show that the divergent local terms of the on-shell
action contain information about the Legendre transformed generating
functional, and that the new constraints for which the irregular modes
propagate in the bulk are the same constraints for which such divergent local
terms cancel out. In this situation, the addition of counterterms is not
required. We also show that there exist particular cases for which the
unitarity bound is reached, and the conformal dimension becomes independent of
the effective mass. This phenomenon has no bulk counterpart.
| [
{
"created": "Sun, 21 Oct 2001 21:15:41 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2001 22:32:33 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Dec 2001 00:21:36 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Minces",
"Pablo",
""
],
[
"Rivelles",
"Victor O.",
""
]
] | We consider a scalar field theory on AdS in both minimally and non-minimally coupled cases. We show that there exist constraints which arise in the quantization of the scalar field theory on AdS which cannot be reproduced through the usual AdS/CFT prescription. We argue that the usual energy, defined through the stress-energy tensor, is not the natural one to be considered in the context of the AdS/CFT correspondence. We analyze a new definition of the energy which makes use of the Noether current corresponding to time displacements in global coordinates. We compute the new energy for Dirichlet, Neumann and mixed boundary conditions on the scalar field and for both the minimally and non-minimally coupled cases. Then, we perform the quantization of the scalar field theory on AdS showing that, for `regular' and `irregular' modes, the new energy is conserved, positive and finite. We show that the quantization gives rise, in a natural way, to a generalized AdS/CFT prescription which maps to the boundary all the information contained in the bulk. In particular, we show that the divergent local terms of the on-shell action contain information about the Legendre transformed generating functional, and that the new constraints for which the irregular modes propagate in the bulk are the same constraints for which such divergent local terms cancel out. In this situation, the addition of counterterms is not required. We also show that there exist particular cases for which the unitarity bound is reached, and the conformal dimension becomes independent of the effective mass. This phenomenon has no bulk counterpart. |
1902.10019 | Jamie Rogers | Jamie Rogers, Radu Tatar | $D_n$ Dynkin quiver moduli spaces | 53 Pages, 31 Figures. Clarifications and changes to discussion made | J. Phys. A: Math. Theor. 52 (2019) 425401 | 10.1088/1751-8121/ab4344 | LTH 1199 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study $3d$ $\mathcal{N}=4$ quiver gauge theories with gauge nodes forming
a $D_n$ Dynkin diagram. The class of good $D_n$ Dynkin quivers is completely
characterised and the moduli space singularity structure fully determined for
all such theories. The class of good $D_n$ Dynkin quivers is denoted
$D_\nu^\mu(n)_p$ where $n \geq 2$ is an integer, $\nu$ and $\mu$ are integer
partitions and $p \in \{ \textrm{even}, \textrm{odd}\}$ denotes membership of
one of two broad subclasses. A full assessment of which $\mathfrak{so}_{2n}$
nilpotent varieties are realisable as $D_n$ Dynkin quiver moduli spaces is
provided. Quiver addition is introduced and is used to give large subclasses of
$D_n$ Dynkin quivers poset structure. The partial ordering is determined by
inclusion relations for the moduli space branches. The resulting Hasse diagrams
are used to both classify $D_n$ Dynkin quivers and determine the moduli space
singularity structure for an arbitrary good theory. The poset constructions and
local moduli space analyses are complemented throughout by explicit checks
utilising moduli space dimension matching.
| [
{
"created": "Tue, 26 Feb 2019 16:01:14 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2019 19:30:16 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Sep 2019 07:00:49 GMT",
"version": "v3"
}
] | 2019-09-27 | [
[
"Rogers",
"Jamie",
""
],
[
"Tatar",
"Radu",
""
]
] | We study $3d$ $\mathcal{N}=4$ quiver gauge theories with gauge nodes forming a $D_n$ Dynkin diagram. The class of good $D_n$ Dynkin quivers is completely characterised and the moduli space singularity structure fully determined for all such theories. The class of good $D_n$ Dynkin quivers is denoted $D_\nu^\mu(n)_p$ where $n \geq 2$ is an integer, $\nu$ and $\mu$ are integer partitions and $p \in \{ \textrm{even}, \textrm{odd}\}$ denotes membership of one of two broad subclasses. A full assessment of which $\mathfrak{so}_{2n}$ nilpotent varieties are realisable as $D_n$ Dynkin quiver moduli spaces is provided. Quiver addition is introduced and is used to give large subclasses of $D_n$ Dynkin quivers poset structure. The partial ordering is determined by inclusion relations for the moduli space branches. The resulting Hasse diagrams are used to both classify $D_n$ Dynkin quivers and determine the moduli space singularity structure for an arbitrary good theory. The poset constructions and local moduli space analyses are complemented throughout by explicit checks utilising moduli space dimension matching. |
1308.5748 | Aninda Sinha | Arpan Bhattacharyya, Menika Sharma, Aninda Sinha | On generalized gravitational entropy, squashed cones and holography | 28 pages. v2: typos and referencing corrected. v3: typos corrected,
clarifications added; version to appear in JHEP | JHEP 1401 (2014) 021 | 10.1007/JHEP01(2014)021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider generalized gravitational entropy in various higher derivative
theories of gravity dual to four dimensional CFTs using the recently proposed
regularization of squashed cones. We derive the universal terms in the
entanglement entropy for spherical and cylindrical surfaces. This is achieved
by constructing the Fefferman-Graham expansion for the leading order metrics
for the bulk geometry and evaluating the generalized gravitational entropy. We
further show that the Wald entropy evaluated in the bulk geometry constructed
for the regularized squashed cones leads to the correct universal parts of the
entanglement entropy for both spherical and cylindrical entangling surfaces. We
comment on the relation with the Iyer-Wald formula for dynamical horizons
relating entropy to a Noether charge. Finally we show how to derive the
entangling surface equation in Gauss-Bonnet holography.
| [
{
"created": "Tue, 27 Aug 2013 03:58:41 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2013 06:40:15 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Dec 2013 01:48:32 GMT",
"version": "v3"
}
] | 2015-06-17 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Sharma",
"Menika",
""
],
[
"Sinha",
"Aninda",
""
]
] | We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement entropy for spherical and cylindrical surfaces. This is achieved by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy. We further show that the Wald entropy evaluated in the bulk geometry constructed for the regularized squashed cones leads to the correct universal parts of the entanglement entropy for both spherical and cylindrical entangling surfaces. We comment on the relation with the Iyer-Wald formula for dynamical horizons relating entropy to a Noether charge. Finally we show how to derive the entangling surface equation in Gauss-Bonnet holography. |
hep-th/9801194 | Arundhati Dasgupta | Saurya Das, Arundhati Dasgupta, P. Ramadevi and Tapobrata Sarkar | Planckian Scattering of D-Branes | 16 pages, REVTEX | Phys.Lett. B428 (1998) 51-58 | 10.1016/S0370-2693(98)00393-1 | IC/97/161; TIFR/TH/97-59; IMSc-97/11/40 | hep-th | null | We consider the gravitational scattering of point particles in four
dimensions, at Planckian centre of mass energy and low momentum transfer, or
the eikonal approximation. The scattering amplitude can be exactly computed by
modelling point particles by very generic metrics. A class of such metrics are
black hole solutions obtained from dimensional reduction of p-brane solutions
with one or more Ramond-Ramond charges in string theory. At weak string
coupling, such black holes are replaced by a collection of wrapped D-branes.
Thus, we investigate eikonal scattering at weak coupling by modelling the point
particles by wrapped D-branes and show that the amplitudes exactly match the
corresponding amplitude found at strong coupling. We extend the calculation for
scattering of charged particles.
| [
{
"created": "Wed, 28 Jan 1998 23:19:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Das",
"Saurya",
""
],
[
"Dasgupta",
"Arundhati",
""
],
[
"Ramadevi",
"P.",
""
],
[
"Sarkar",
"Tapobrata",
""
]
] | We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point particles by very generic metrics. A class of such metrics are black hole solutions obtained from dimensional reduction of p-brane solutions with one or more Ramond-Ramond charges in string theory. At weak string coupling, such black holes are replaced by a collection of wrapped D-branes. Thus, we investigate eikonal scattering at weak coupling by modelling the point particles by wrapped D-branes and show that the amplitudes exactly match the corresponding amplitude found at strong coupling. We extend the calculation for scattering of charged particles. |
hep-th/9506002 | Neil Marcus | Neil Marcus | The other topological twisting of N=4 Yang-Mills | 19 (big), 13 (little) pages, LaTeX. (Type b or l when prompted.)
Files are also available from http://www.tau.ac.il/~neil/links/papers/flat/
or http://www.tau.ac.il/~neilm/.Me/papers/flat/ | Nucl.Phys. B452 (1995) 331-345 | 10.1016/0550-3213(95)00389-A | TAUP-2247-95 | hep-th dg-ga math.DG | null | We present the alternative topological twisting of N=4 Yang-Mills, in which
the path integral is dominated not by instantons, but by flat connections of
the COMPLEXIFIED gauge group. The theory is nontrivial on compact orientable
four-manifolds with nonpositive Euler number, which are necessarily not simply
connected. On such manifolds, one finds a single topological invariant,
analogous to the Casson invariant of three-manifolds.
| [
{
"created": "Thu, 1 Jun 1995 06:15:06 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Marcus",
"Neil",
""
]
] | We present the alternative topological twisting of N=4 Yang-Mills, in which the path integral is dominated not by instantons, but by flat connections of the COMPLEXIFIED gauge group. The theory is nontrivial on compact orientable four-manifolds with nonpositive Euler number, which are necessarily not simply connected. On such manifolds, one finds a single topological invariant, analogous to the Casson invariant of three-manifolds. |
hep-th/9705092 | John Schwarz | John H. Schwarz | The M Theory Five-Brane and the Heterotic String | 13 pages, latex, no figures; ICTP Conference Proceedings | null | 10.1007/BFb0105232 | CALT-68-2115 | hep-th | null | Brane actions with chiral bosons present special challenges. Recent progress
in the description of the two main examples -- the M theory five-brane and the
heterotic string -- is described. Also, double dimensional reduction of the M
theory five-brane on K3 is shown to give the heterotic string.
| [
{
"created": "Tue, 13 May 1997 23:35:00 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Schwarz",
"John H.",
""
]
] | Brane actions with chiral bosons present special challenges. Recent progress in the description of the two main examples -- the M theory five-brane and the heterotic string -- is described. Also, double dimensional reduction of the M theory five-brane on K3 is shown to give the heterotic string. |
1711.09413 | Yu-Xiao Liu | Yi Zhong, Yuan Zhong, Yu-Peng Zhang, Yu-Xiao Liu | Thick branes with inner structure in mimetic gravity | 7 pages, 8 figures | Eur.Phys.J. C78 (2018) 45 | 10.1140/epjc/s10052-018-5527-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, thick branes generated by mimetic scalar field are
investigated. Three typical thick brane models are constructed and the linear
tensor and scalar perturbations are analyzed. These branes have different inner
structures, some of which are absent in general relativity. For each brane
model, the solution is stable under both tensor and scalar perturbations. The
tensor zero modes are localized on the branes, while the scalar perturbations
do not propagate and they are not localized on the brane. As the branes split
into multi sub-branes for specific parameters, the potentials of the tensor
perturbations also split into multi-wells, and this may lead to new phenomenon
in the resonance of the tensor perturbation and the localization of matter
fields.
| [
{
"created": "Sun, 26 Nov 2017 16:17:04 GMT",
"version": "v1"
}
] | 2018-02-27 | [
[
"Zhong",
"Yi",
""
],
[
"Zhong",
"Yuan",
""
],
[
"Zhang",
"Yu-Peng",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] | In this paper, thick branes generated by mimetic scalar field are investigated. Three typical thick brane models are constructed and the linear tensor and scalar perturbations are analyzed. These branes have different inner structures, some of which are absent in general relativity. For each brane model, the solution is stable under both tensor and scalar perturbations. The tensor zero modes are localized on the branes, while the scalar perturbations do not propagate and they are not localized on the brane. As the branes split into multi sub-branes for specific parameters, the potentials of the tensor perturbations also split into multi-wells, and this may lead to new phenomenon in the resonance of the tensor perturbation and the localization of matter fields. |
1301.6622 | Mehmet Ozkan | Mehmet Ozkan, Yi Pang | Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions | 32 pages, v4: typos corrected in equations (3.5), (4.4), (4.18) and
(5.22) | JHEP 1303:158,2013 | 10.1007/JHEP03(2013)158 | MIFPA-13-01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on superconformal tensor calculus in five dimensions, we construct the
supersymmetric completion of Gauss-Bonnet combination. We study the vacuum
solutions with AdS_2 x S^3 and AdS_3 x S^2 structures. We also analyze the
spectrum around a maximally supersymmetric Minkowski_5.
| [
{
"created": "Mon, 28 Jan 2013 17:34:55 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2013 23:08:27 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Apr 2013 19:54:20 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jul 2013 15:34:55 GMT",
"version": "v4"
}
] | 2013-07-09 | [
[
"Ozkan",
"Mehmet",
""
],
[
"Pang",
"Yi",
""
]
] | Based on superconformal tensor calculus in five dimensions, we construct the supersymmetric completion of Gauss-Bonnet combination. We study the vacuum solutions with AdS_2 x S^3 and AdS_3 x S^2 structures. We also analyze the spectrum around a maximally supersymmetric Minkowski_5. |
hep-th/9912196 | Andreas Fring | O.A. Castro-Alvaredo, A. Fring, C. Korff, J.L.Miramontes | Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models | 30 pages Latex, two figures | Nucl.Phys.B575:535-560,2000 | 10.1016/S0550-3213(00)00162-0 | null | hep-th cond-mat | null | We apply the thermodynamic Bethe Ansatz to investigate the high energy
behaviour of a class of scattering matrices which have recently been proposed
to describe the Homogeneous sine-Gordon models related to simply laced Lie
algebras. A characteristic feature is that some elements of the suggested
S-matrices are not parity invariant and contain resonance shifts which allow
for the formation of unstable bound states. From the Lagrangian point of view
these models may be viewed as integrable perturbations of WZNW-coset models and
in our analysis we recover indeed in the deep ultraviolet regime the effective
central charge related to these cosets, supporting therefore the S-matrix
proposal. For the $SU(3)_k$-model we present a detailed numerical analysis of
the scaling function which exhibits the well known staircase pattern for
theories involving resonance parameters, indicating the energy scales of stable
and unstable particles. We demonstrate that, as a consequence of the interplay
between the mass scale and the resonance parameter, the ultraviolet limit of
the HSG-model may be viewed alternatively as a massless
ultraviolet-infrared-flow between different conformal cosets. For $k=2$ we
recover as a subsystem the flow between the tricritical Ising and the Ising
model.
| [
{
"created": "Tue, 21 Dec 1999 14:49:31 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Castro-Alvaredo",
"O. A.",
""
],
[
"Fring",
"A.",
""
],
[
"Korff",
"C.",
""
],
[
"Miramontes",
"J. L.",
""
]
] | We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to simply laced Lie algebras. A characteristic feature is that some elements of the suggested S-matrices are not parity invariant and contain resonance shifts which allow for the formation of unstable bound states. From the Lagrangian point of view these models may be viewed as integrable perturbations of WZNW-coset models and in our analysis we recover indeed in the deep ultraviolet regime the effective central charge related to these cosets, supporting therefore the S-matrix proposal. For the $SU(3)_k$-model we present a detailed numerical analysis of the scaling function which exhibits the well known staircase pattern for theories involving resonance parameters, indicating the energy scales of stable and unstable particles. We demonstrate that, as a consequence of the interplay between the mass scale and the resonance parameter, the ultraviolet limit of the HSG-model may be viewed alternatively as a massless ultraviolet-infrared-flow between different conformal cosets. For $k=2$ we recover as a subsystem the flow between the tricritical Ising and the Ising model. |
hep-th/9305150 | Juan Perez Mercader | J. Perez-Mercader | Randomness and Irreversibility in Quantum Field Theory | RevTeX, 13 pages plus 4 Figures (available from the author upon
request), LAEFF--93/006 | null | null | null | hep-th | null | Quantum fluctuations, through quantum corrections, have the potential to lead
to irreversibility in quantum field theory. We consider the virtual ``charge"
distribution generated by quantum corrections in the leading log, short range
approximation, and adopt for it a statistical interpretation. This virtual
charge density has fractal structure, and it is seen that, independently of
whether the theory is or is not asymptotically free, it describes a system
where the equilibrium state is at its classical limit ($\hbar \rightarrow 0$).
We also present a simple analysis of how diffusion of the charge density
proceeds as a function of the distance at which the system is probed.
| [
{
"created": "Thu, 27 May 1993 10:12:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Perez-Mercader",
"J.",
""
]
] | Quantum fluctuations, through quantum corrections, have the potential to lead to irreversibility in quantum field theory. We consider the virtual ``charge" distribution generated by quantum corrections in the leading log, short range approximation, and adopt for it a statistical interpretation. This virtual charge density has fractal structure, and it is seen that, independently of whether the theory is or is not asymptotically free, it describes a system where the equilibrium state is at its classical limit ($\hbar \rightarrow 0$). We also present a simple analysis of how diffusion of the charge density proceeds as a function of the distance at which the system is probed. |
hep-th/0005097 | Zbigniew Jaskolski | Marcin Daszkiewicz, Zbigniew Jaskolski | Light-cone formulation and spin spectra of massive strings | 11 pages | Phys.Lett. B484 (2000) 347-354 | 10.1016/S0370-2693(00)00666-3 | IFT Uwr 932/2000 | hep-th | null | It is shown that all bosonic and fermionic massive string models admit
consistent light-cone formulations. This result is used to derive the spin
generating functions of these models in four dimensions.
| [
{
"created": "Wed, 10 May 2000 18:32:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Daszkiewicz",
"Marcin",
""
],
[
"Jaskolski",
"Zbigniew",
""
]
] | It is shown that all bosonic and fermionic massive string models admit consistent light-cone formulations. This result is used to derive the spin generating functions of these models in four dimensions. |
1903.01497 | Francisco Pedro | Michele Cicoli, Veronica Guidetti, Francisco G. Pedro | Geometrical Destabilisation of Ultra-Light Axions in String Inflation | 22 pages + bibliography, 9 figures | null | 10.1088/1475-7516/2019/05/046 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a detailed analytical and numerical analysis of the multi-field
evolution of Fibre Inflation and show that, regardless of the microscopic
realisation of the model, the mass-squared of one of the two ultra-light axions
becomes always negative during inflation. This implies that the corresponding
isocurvature perturbations experience a potential geometrical destabilisation
which seems to bring the system away from the perturbative regime. Therefore we
conclude that a full understanding of the inflationary evolution of Fibre
Inflation can be achieved only via a non-perturbative analysis where the
backreaction of tachyonic isocurvature perturbations is properly taken into
account.
| [
{
"created": "Mon, 4 Mar 2019 19:23:05 GMT",
"version": "v1"
}
] | 2019-06-05 | [
[
"Cicoli",
"Michele",
""
],
[
"Guidetti",
"Veronica",
""
],
[
"Pedro",
"Francisco G.",
""
]
] | We perform a detailed analytical and numerical analysis of the multi-field evolution of Fibre Inflation and show that, regardless of the microscopic realisation of the model, the mass-squared of one of the two ultra-light axions becomes always negative during inflation. This implies that the corresponding isocurvature perturbations experience a potential geometrical destabilisation which seems to bring the system away from the perturbative regime. Therefore we conclude that a full understanding of the inflationary evolution of Fibre Inflation can be achieved only via a non-perturbative analysis where the backreaction of tachyonic isocurvature perturbations is properly taken into account. |
hep-th/9403075 | V. B. Petkova | P. Furlan, A.Ch. Ganchev and V.B. Petkova | Singular Vectors of ${\cal W}$ Algebras via DS Reduction of $A_2^(1)$ | plain TeX, 39 pages, INFN/AE-94/10. (revised version, to appear in
Nuclear Physics B; some extensions in section 6 and Note Added.) | Nucl.Phys. B431 (1994) 622-666 | 10.1016/0550-3213(94)90217-8 | null | hep-th | null | The BRST quantisation of the Drinfeld - Sokolov reduction applied to the case
of $A^{(1)}_2\,$ is explored to construct in an unified and systematic way the
general singular vectors in ${\cal W}_3$ and ${\cal W}_3^{(2)}$ Verma modules.
The construction relies on the use of proper quantum analogues of the classical
DS gauge fixing transformations. Furthermore the stability groups $\overline
W^{(\eta)}\,$ of the highest weights of the ${\cal W}\,$ - Verma modules play
an important role in the proof of the BRST equivalence of the
Malikov-Feigin-Fuks singular vectors and the ${\cal W}$ algebra ones. The
resulting singular vectors are essentially classified by the affine Weyl group
$W\, $ modulo $\overline W^{(\eta)}\,$. This is a detailed presentation of the
results announced in a recent paper of the authors (Phys. Lett. B318 (1993)
85).
| [
{
"created": "Mon, 14 Mar 1994 19:44:14 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 1994 17:34:15 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Sep 1994 18:26:38 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Furlan",
"P.",
""
],
[
"Ganchev",
"A. Ch.",
""
],
[
"Petkova",
"V. B.",
""
]
] | The BRST quantisation of the Drinfeld - Sokolov reduction applied to the case of $A^{(1)}_2\,$ is explored to construct in an unified and systematic way the general singular vectors in ${\cal W}_3$ and ${\cal W}_3^{(2)}$ Verma modules. The construction relies on the use of proper quantum analogues of the classical DS gauge fixing transformations. Furthermore the stability groups $\overline W^{(\eta)}\,$ of the highest weights of the ${\cal W}\,$ - Verma modules play an important role in the proof of the BRST equivalence of the Malikov-Feigin-Fuks singular vectors and the ${\cal W}$ algebra ones. The resulting singular vectors are essentially classified by the affine Weyl group $W\, $ modulo $\overline W^{(\eta)}\,$. This is a detailed presentation of the results announced in a recent paper of the authors (Phys. Lett. B318 (1993) 85). |
hep-th/9904085 | Antoine Van Proeyen | Eric Bergshoeff, Ergin Sezgin and Antoine Van Proeyen | (2,0) Tensor Multiplets and Conformal Supergravity in D=6 | 22 pages, LaTeX; v2: more introductory texts, appendix on conventions
enlarged, typos corrected, and references added | Class.Quant.Grav. 16 (1999) 3193-3206 | 10.1088/0264-9381/16/10/311 | KUL-TF-99/13; UG/4-99; CTP TAMU-10/99 | hep-th | null | We construct the supercurrent multiplet that contains the energy-momentum
tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to
the fields of conformal supergravity, we first construct the linearized
superconformal transformations rules of the (2,0) Weyl multiplet. Next, we
construct the full non-linear transformation rules by gauging the
superconformal algebra OSp(8^*|4). We then use this result to construct the
full equations of motion of the tensor multiplet in a conformal supergravity
background. Coupling N+5 copies of the tensor multiplet to conformal
supergravity and imposing a geometrical constraint on the scalar fields which
fixes the conformal symmetry, we obtain the coupling of (2,0) Poincare
supergravity to N tensor multiplets in which the physical scalars parametrize
the coset SO(N,5)/(SO(N) x SO(5)).
| [
{
"created": "Mon, 12 Apr 1999 13:15:26 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jun 1999 07:55:39 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal transformations rules of the (2,0) Weyl multiplet. Next, we construct the full non-linear transformation rules by gauging the superconformal algebra OSp(8^*|4). We then use this result to construct the full equations of motion of the tensor multiplet in a conformal supergravity background. Coupling N+5 copies of the tensor multiplet to conformal supergravity and imposing a geometrical constraint on the scalar fields which fixes the conformal symmetry, we obtain the coupling of (2,0) Poincare supergravity to N tensor multiplets in which the physical scalars parametrize the coset SO(N,5)/(SO(N) x SO(5)). |
hep-th/9510093 | Anamaria Font | G. Aldazabal, L.E. Ibanez, A. Font and F. Quevedo | Chains of N=2, D=4 heterotic/type II duals | Latex, 21 pages, 2 tables | Nucl.Phys.B461:85-100,1996 | 10.1016/0550-3213(95)00654-0 | CERN-TH/95-270, FTUAM-95/38, RU-95-65, UTTG-17-95 | hep-th | null | We report on a search for $N=2$ heterotic strings that are dual candidates of
type II compactifications on Calabi-Yau threefolds described as $K3$
fibrations. We find many new heterotic duals by using standard orbifold
techniques. The associated type II compactifications fall into chains in which
the proposed duals are heterotic compactifications related one another by a
sequential Higgs mechanism. This breaking in the heterotic side typically
involves the sequence $SU(4)\rightarrow SU(3)\rightarrow $ $SU(2)\rightarrow
0$, while in the type II side the weights of the complex hypersurfaces and the
structure of the $K3$ quotient singularities also follow specific patterns.
| [
{
"created": "Sat, 14 Oct 1995 22:40:18 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Aldazabal",
"G.",
""
],
[
"Ibanez",
"L. E.",
""
],
[
"Font",
"A.",
""
],
[
"Quevedo",
"F.",
""
]
] | We report on a search for $N=2$ heterotic strings that are dual candidates of type II compactifications on Calabi-Yau threefolds described as $K3$ fibrations. We find many new heterotic duals by using standard orbifold techniques. The associated type II compactifications fall into chains in which the proposed duals are heterotic compactifications related one another by a sequential Higgs mechanism. This breaking in the heterotic side typically involves the sequence $SU(4)\rightarrow SU(3)\rightarrow $ $SU(2)\rightarrow 0$, while in the type II side the weights of the complex hypersurfaces and the structure of the $K3$ quotient singularities also follow specific patterns. |
hep-th/0102028 | Martin Luescher | Martin L\"uscher | Chiral gauge theories revisited | Lectures given at the International School of Subnuclear Physics,
Erice, 27 August - 5 September 2000, Plain TeX source, 40 pages, figures
included; reference added, minor text corrections | null | 10.1142/9789812778253_0002 | CERN-TH/2001-031 | hep-th hep-lat hep-ph | null | Contents: 1. Introduction, 2. Chiral gauge theories & the gauge anomaly, 3.
The regularization problem, 4. Weyl fermions from 4+1 dimensions, 5. The
Ginsparg-Wilson relation, 6. Gauge-invariant lattice regularization of
anomaly-free theories.
| [
{
"created": "Tue, 6 Feb 2001 19:22:34 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2001 10:19:00 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Lüscher",
"Martin",
""
]
] | Contents: 1. Introduction, 2. Chiral gauge theories & the gauge anomaly, 3. The regularization problem, 4. Weyl fermions from 4+1 dimensions, 5. The Ginsparg-Wilson relation, 6. Gauge-invariant lattice regularization of anomaly-free theories. |
2110.02632 | Massimo Giovannini | Massimo Giovannini | Palatini approach and large-scale magnetogenesis | 41 pages, 5 figures; corrected typos to match the version to be
published in JCAP | null | 10.1088/1475-7516/2021/11/058 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Large-scale magnetogenesis is analyzed within the Palatini approach when the
gravitational action is supplemented by a contribution that is nonlinear in the
Einstein-Hilbert term. While the addition of the nonlinear terms does not
affect the scalar modes of the geometry during the inflationary phase, the
tensor-to-scalar ratio is nonetheless suppressed. In this context it is
plausible to have a stiff phase following the standard inflationary stage
provided the potential has a quintessential form. The large-scale magnetic
fields can even be a fraction of the nG over typical length scales of the order
of the Mpc prior to the gravitational collapse of the protogalaxy.
| [
{
"created": "Wed, 6 Oct 2021 10:08:35 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 2021 15:52:10 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Giovannini",
"Massimo",
""
]
] | Large-scale magnetogenesis is analyzed within the Palatini approach when the gravitational action is supplemented by a contribution that is nonlinear in the Einstein-Hilbert term. While the addition of the nonlinear terms does not affect the scalar modes of the geometry during the inflationary phase, the tensor-to-scalar ratio is nonetheless suppressed. In this context it is plausible to have a stiff phase following the standard inflationary stage provided the potential has a quintessential form. The large-scale magnetic fields can even be a fraction of the nG over typical length scales of the order of the Mpc prior to the gravitational collapse of the protogalaxy. |
hep-th/0107117 | Bugrij | A. I. Bugrij | Form factor representation of the correlation function of the two
dimensional Ising model on a cylinder | 31 pages, 1 figure, LaTeX. To be published in "Integrable Structures
of Exactly Solvable Two-Dimensional Models of Quantum Field Theory", eds.
S.Pakuliak and G.von Gehlen, Kluwer Academic Publ. NATO Series | null | null | null | hep-th | null | The correlation function of the two dimensional Ising model with the nearest
neighbours interaction on the finite size lattice with the periodical boundary
conditions is derived. The expressions similar to the form factor expansion are
obtained both for the paramagnetic and ferromagnetic regions of coupling
parameter. The peculiarities caused by finite size are analyzed. The scaling
limit of the lattice form factor expansion is evaluated.
| [
{
"created": "Fri, 13 Jul 2001 09:02:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bugrij",
"A. I.",
""
]
] | The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are obtained both for the paramagnetic and ferromagnetic regions of coupling parameter. The peculiarities caused by finite size are analyzed. The scaling limit of the lattice form factor expansion is evaluated. |
1411.7741 | S. I. Kruglov | S.I. Kruglov | On Generalized Logarithmic Electrodynamics | 7 pages, no figures, changed title, corrected typo in Eq. 11 | null | 10.1140/epjc/s10052-015-3314-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The generalized logarithmic electrodynamics with two parameters $\beta$ and
$\gamma$ is considered. The indexes of refraction of light in the external
magnetic field are calculated. In the case $\beta=\gamma$ we come to results
obtained by P. Gaete and J. Helay\"el-Neto [7] (Eur.Phys.J. C\textbf{74}, 2816
(2014)). The bound on the values of $\beta$, $\gamma$ was obtained from the
Bir\'efringence Magn\'etique du Vide (BMV) experiment. The symmetrical
Belinfante energy-momentum tensor and dilatation current are found.
| [
{
"created": "Fri, 28 Nov 2014 02:19:53 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2015 00:06:28 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Feb 2015 00:26:56 GMT",
"version": "v3"
}
] | 2015-06-23 | [
[
"Kruglov",
"S. I.",
""
]
] | The generalized logarithmic electrodynamics with two parameters $\beta$ and $\gamma$ is considered. The indexes of refraction of light in the external magnetic field are calculated. In the case $\beta=\gamma$ we come to results obtained by P. Gaete and J. Helay\"el-Neto [7] (Eur.Phys.J. C\textbf{74}, 2816 (2014)). The bound on the values of $\beta$, $\gamma$ was obtained from the Bir\'efringence Magn\'etique du Vide (BMV) experiment. The symmetrical Belinfante energy-momentum tensor and dilatation current are found. |
1501.05974 | Daniel Zwanziger | Martin Schaden and Daniel Zwanziger | Poincare' Symmetry of the GZ-Model | 31 pages. Corrected version published under the title "Living with
Spontaneously Broken BRST Symmetry. II. Poincar\'e" in Phys. Rev. D | Phys. Rev. D 92, 025002 (2015) | 10.1103/PhysRevD.92.025002 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Due to internal symmetries of its ghost sector, the Poincare' generators of
the GZ-model are not unique. The model apparently has two linearly independent
symmetric and conserved energy momentum tensors. We show that these
energy-momentum tensors are physically equivalent and differ by unobservable
conserved currents only. There is a single physical energy-momentum operator
that is invariant under all symmetries of the ghost sector, including BRST.
This resolves concerns about Poincare' invariance raised by the explicit
$x$-dependence of the BRST operator. The energy, momentum and angular momentum
of physical states are well-defined quantities that vanish for the ground state
of this theory. We obtain and discuss the physical Ward identities resulting
from Poincare' invariance.
| [
{
"created": "Fri, 23 Jan 2015 22:31:21 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2015 21:25:11 GMT",
"version": "v2"
}
] | 2015-07-31 | [
[
"Schaden",
"Martin",
""
],
[
"Zwanziger",
"Daniel",
""
]
] | Due to internal symmetries of its ghost sector, the Poincare' generators of the GZ-model are not unique. The model apparently has two linearly independent symmetric and conserved energy momentum tensors. We show that these energy-momentum tensors are physically equivalent and differ by unobservable conserved currents only. There is a single physical energy-momentum operator that is invariant under all symmetries of the ghost sector, including BRST. This resolves concerns about Poincare' invariance raised by the explicit $x$-dependence of the BRST operator. The energy, momentum and angular momentum of physical states are well-defined quantities that vanish for the ground state of this theory. We obtain and discuss the physical Ward identities resulting from Poincare' invariance. |
1601.06304 | Denis Bashkirov | Denis Bashkirov | Quantum Field Theory, Causal Structures and Weyl Transformations | 12 pages, v.2. physical motivation section extended, some statements
clarified, typos and minor errors fixed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest that in the proper definition, Quantum Field Theories are quantum
mechanical system which 'live' on the space of causal structures ${\cal C}$ of
spacetime. That is, for any QFT a Hilbert space ${\cal H}$ on which local
operators live is assigned not for each Lorentzian metric $g$, but for each
causal structure ${\cal C}$. In practice one uses 'conformal frames' which all
provide equivalent descriptions of the same QFT. To put it differently, Quantum
Field Theories only know about causal structure of spacetime, and not its full
Lorentzian metric. The Weyl group and the local RG flow naturally arise when
one compares equivalent descriptions in different conformal frames. This is
reduced to the usual RG flow of coupling constants when one only compares
descriptions in conformal frames related by spacetime-independent Weyl
rescalings. We point out that in this picture minimal coupling of a QFT to the
metric is inconsistent and comment on the necessary violation of the
equivalence principle in the presence of scalars.
| [
{
"created": "Sat, 23 Jan 2016 19:59:29 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 2016 17:31:28 GMT",
"version": "v2"
}
] | 2016-01-29 | [
[
"Bashkirov",
"Denis",
""
]
] | We suggest that in the proper definition, Quantum Field Theories are quantum mechanical system which 'live' on the space of causal structures ${\cal C}$ of spacetime. That is, for any QFT a Hilbert space ${\cal H}$ on which local operators live is assigned not for each Lorentzian metric $g$, but for each causal structure ${\cal C}$. In practice one uses 'conformal frames' which all provide equivalent descriptions of the same QFT. To put it differently, Quantum Field Theories only know about causal structure of spacetime, and not its full Lorentzian metric. The Weyl group and the local RG flow naturally arise when one compares equivalent descriptions in different conformal frames. This is reduced to the usual RG flow of coupling constants when one only compares descriptions in conformal frames related by spacetime-independent Weyl rescalings. We point out that in this picture minimal coupling of a QFT to the metric is inconsistent and comment on the necessary violation of the equivalence principle in the presence of scalars. |
1611.07106 | Dionisio Bazeia | D. Bazeia, F.S. Bemfica | From Scalar Field Theories to Supersymmetric Quantum Mechanics | 6 pages, 4 figures; version to appear in MPLA | Mod. Phys. Lett. A 32 (2017) 1750073 | 10.1142/S0217732317500730 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we report a new result that appears when one investigates the
route that starts from a scalar field theory and ends on a supersymmetric
quantum mechanics. The subject has been studied before in several distinct ways
and here we unveil an interesting novelty, showing that the same scalar field
model may describe distinct quantum mechanical problems.
| [
{
"created": "Tue, 22 Nov 2016 00:03:56 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 12:22:49 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Mar 2017 12:52:53 GMT",
"version": "v3"
}
] | 2017-04-06 | [
[
"Bazeia",
"D.",
""
],
[
"Bemfica",
"F. S.",
""
]
] | In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems. |
2402.00118 | Jonathan Heckman | Jonathan J. Heckman, Jacob McNamara, Miguel Montero, Adar Sharon,
Cumrun Vafa, Irene Valenzuela | On the Fate of Stringy Non-Invertible Symmetries | 56 pages, 11 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-invertible symmetries in quantum field theory (QFT) generalize the
familiar product rule of groups to a more general fusion rule. In many cases,
gauged versions of these symmetries can be regarded as dual descriptions of
invertible gauge symmetries. One may ask: are there any other types of
non-invertible gauge symmetries? In theories with gravity we find a new form of
non-invertible gauge symmetry that emerges in the limit of fundamental,
tensionless strings. These stringy non-invertible gauge symmetries appear in
standard examples such as non-abelian orbifolds. Moving away from the
tensionless limit always breaks these symmetries. We also find that both the
conventional form of non-invertible gauge symmetries and these stringy
generalizations are realized in AdS/CFT. Although generically broken,
approximate non-invertible symmetries have implications for Swampland
constraints: in certain cases they can be used to prove the existence of towers
of states related to the Distance Conjecture, and can sometimes explain the
existence of slightly sub-extremal states which fill in the gaps in the
sublattice Weak Gravity Conjecture.
| [
{
"created": "Wed, 31 Jan 2024 19:00:04 GMT",
"version": "v1"
}
] | 2024-02-02 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"McNamara",
"Jacob",
""
],
[
"Montero",
"Miguel",
""
],
[
"Sharon",
"Adar",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Valenzuela",
"Irene",
""
]
] | Non-invertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of non-invertible gauge symmetries? In theories with gravity we find a new form of non-invertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy non-invertible gauge symmetries appear in standard examples such as non-abelian orbifolds. Moving away from the tensionless limit always breaks these symmetries. We also find that both the conventional form of non-invertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate non-invertible symmetries have implications for Swampland constraints: in certain cases they can be used to prove the existence of towers of states related to the Distance Conjecture, and can sometimes explain the existence of slightly sub-extremal states which fill in the gaps in the sublattice Weak Gravity Conjecture. |
hep-th/9801136 | Jouko Mickelsson | Jouko Mickelsson | Current algebra and exotic statistics in 6 dimensions | TeX format AmsTex, 9 output pages | Phys.Rev.Lett. 80 (1998) 5267-5270 | 10.1103/PhysRevLett.80.5267 | null | hep-th | null | By studying ordinary chiral fermions in background gauge fields we show that
in the case of gauge group SU(3) and space-time dimension 5+1 localized
solitons obey $q-$ commutation relations with $q$ not equal to $\pm 1$ but a
third root of unity.
| [
{
"created": "Tue, 20 Jan 1998 11:09:51 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Mickelsson",
"Jouko",
""
]
] | By studying ordinary chiral fermions in background gauge fields we show that in the case of gauge group SU(3) and space-time dimension 5+1 localized solitons obey $q-$ commutation relations with $q$ not equal to $\pm 1$ but a third root of unity. |
hep-th/0606211 | Eric Gimon | Sergio Ferrara, Eric G. Gimon and Renata Kallosh | Magic Supergravities, N= 8 and Black Hole Composites | 33 pages, references added plus brief outline at end of introduction | Phys.Rev.D74:125018,2006 | 10.1103/PhysRevD.74.125018 | CERN-PH-TH/2006-116, LBNL-60487, SU-ITP-2006-19, UCLA/06/TEP/19 | hep-th | null | We present explicit U-duality invariants for the R, C, Q, O$ (real, complex,
quaternionic and octonionic) magic supergravities in four and five dimensions
using complex forms with a reality condition. From these invariants we derive
an explicit entropy function and corresponding stabilization equations which we
use to exhibit stationary multi-center 1/2 BPS solutions of these N=2 d=4
theories, starting with the octonionic one with E_{7(-25)} duality symmetry. We
generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4
supergravity, using the consistent truncation to the quaternionic magic N=2
supergravity. We present a general solution of non-BPS attractor equations of
the STU truncation of magic models. We finish with a discussion of the
BPS-non-BPS relations and attractors in N=2 versus N= 5, 6, 8.
| [
{
"created": "Wed, 21 Jun 2006 16:08:58 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2006 18:39:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ferrara",
"Sergio",
""
],
[
"Gimon",
"Eric G.",
""
],
[
"Kallosh",
"Renata",
""
]
] | We present explicit U-duality invariants for the R, C, Q, O$ (real, complex, quaternionic and octonionic) magic supergravities in four and five dimensions using complex forms with a reality condition. From these invariants we derive an explicit entropy function and corresponding stabilization equations which we use to exhibit stationary multi-center 1/2 BPS solutions of these N=2 d=4 theories, starting with the octonionic one with E_{7(-25)} duality symmetry. We generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4 supergravity, using the consistent truncation to the quaternionic magic N=2 supergravity. We present a general solution of non-BPS attractor equations of the STU truncation of magic models. We finish with a discussion of the BPS-non-BPS relations and attractors in N=2 versus N= 5, 6, 8. |
1909.06901 | Katarzyna Ole\'s | C. Adam, K. Oles, T. Romanczukiewicz, and A. Wereszczynski | Kink-antikink scattering in the $\phi^4$ model without static
intersoliton forces | null | null | 10.1103/PhysRevD.101.105021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Kink-antikink scattering in the $\phi^4$ model is investigated in the limit
when the static inter-soliton force vanishes. We observe the formation of
spectral walls and, further, identify a new phenomenon, the vacuum wall, whose
existence gives rise to a bouncing structure for the annihilating solitons.
Furthermore, we discover higher order spectral walls, i.e., spectral walls
which form when higher harmonics enter the continuous spectrum. These higher
order spectral walls not only deform the soliton trajectories, they also can be
observed easily as very intense radiation bursts.
| [
{
"created": "Sun, 15 Sep 2019 22:32:46 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2019 13:40:18 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Adam",
"C.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | Kink-antikink scattering in the $\phi^4$ model is investigated in the limit when the static inter-soliton force vanishes. We observe the formation of spectral walls and, further, identify a new phenomenon, the vacuum wall, whose existence gives rise to a bouncing structure for the annihilating solitons. Furthermore, we discover higher order spectral walls, i.e., spectral walls which form when higher harmonics enter the continuous spectrum. These higher order spectral walls not only deform the soliton trajectories, they also can be observed easily as very intense radiation bursts. |
hep-th/9502090 | Pablo Llatas | Pablo M. Llatas, Shibaji Roy and Jose M. Sanchez de Santos | ``N=4: A Unifying Framework for 2d Topological Gravity, $c_M\leq 1$
String Theory and Constrained Topological Sigma Model'' | 13 pages, LATEX, one figure. The only change is that the figure has
been uuencoded | Phys.Lett. B352 (1995) 254-260 | 10.1016/0370-2693(95)00483-2 | UG-5/95, US-FT-2/95 and ENSLAPP-L-504/95 | hep-th | null | It is shown that two dimensional (2d) topological gravity in the conformal
gauge has a larger symmetry than has been hitherto recognized; in the
formulation of Labastida, Pernici and Witten it contains a twisted ``small''
N=4 superconformal symmetry. There are in fact two distinct twisted N=2
structures within this N=4, one of which is shown to be isomorphic to the
algebra discussed by the Verlindes and the other corresponds, through
bosonization, to $c_M\leq 1$ string theory discussed by Bershadsky et.al. As a
byproduct, we find a twisted N=4 structure in $c_M\leq 1$ string theory. We
also study the ``mirror'' of this twisted N=4 algebra and find that it
corresponds, through another bosonization, to a constrained topological sigma
model in complex dimension one.
| [
{
"created": "Tue, 14 Feb 1995 17:53:19 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 1995 13:55:15 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Llatas",
"Pablo M.",
""
],
[
"Roy",
"Shibaji",
""
],
[
"de Santos",
"Jose M. Sanchez",
""
]
] | It is shown that two dimensional (2d) topological gravity in the conformal gauge has a larger symmetry than has been hitherto recognized; in the formulation of Labastida, Pernici and Witten it contains a twisted ``small'' N=4 superconformal symmetry. There are in fact two distinct twisted N=2 structures within this N=4, one of which is shown to be isomorphic to the algebra discussed by the Verlindes and the other corresponds, through bosonization, to $c_M\leq 1$ string theory discussed by Bershadsky et.al. As a byproduct, we find a twisted N=4 structure in $c_M\leq 1$ string theory. We also study the ``mirror'' of this twisted N=4 algebra and find that it corresponds, through another bosonization, to a constrained topological sigma model in complex dimension one. |
hep-th/0312298 | Akitsugu Miwa | Masafumi Fukuma, Yuji Kono, Akitsugu Miwa | A mechanism of the large-scale damping in the CMB anisotropy | 31 pages, 14 figures, final version, to appear in Nuclear Physics B | Nucl.Phys. B703 (2004) 293-319 | 10.1016/j.nuclphysb.2004.09.007 | KUNS-1888 | hep-th astro-ph | null | We present a mechanism through which a certain class of short-distance cutoff
affects the CMB anisotropies at large angular scales. Our analysis is performed
in two steps. The first is given in an intuitive way, using the property of the
inflationary universe that quantum fluctuations of an inflaton field become
classical after crossing the Hubble horizon. We give a condition for a cutoff
to yield a damping on large scales, and show that the holographic cutoff
introduced in the preceding paper (hep-th/0307029) does satisfy the condition.
The second analysis is carried out by setting an initial condition such that
each mode of inflaton starts as the vacuum fluctuation of the Hamiltonian when
being released from the constraint of cutoff. The first intuitive discussion is
then shown to be correct qualitatively.
| [
{
"created": "Sun, 28 Dec 2003 18:36:07 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jan 2004 12:01:51 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jan 2004 18:40:57 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Jan 2004 16:07:04 GMT",
"version": "v4"
},
{
"cr... | 2009-11-10 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Kono",
"Yuji",
""
],
[
"Miwa",
"Akitsugu",
""
]
] | We present a mechanism through which a certain class of short-distance cutoff affects the CMB anisotropies at large angular scales. Our analysis is performed in two steps. The first is given in an intuitive way, using the property of the inflationary universe that quantum fluctuations of an inflaton field become classical after crossing the Hubble horizon. We give a condition for a cutoff to yield a damping on large scales, and show that the holographic cutoff introduced in the preceding paper (hep-th/0307029) does satisfy the condition. The second analysis is carried out by setting an initial condition such that each mode of inflaton starts as the vacuum fluctuation of the Hamiltonian when being released from the constraint of cutoff. The first intuitive discussion is then shown to be correct qualitatively. |
hep-th/0402225 | Steven Gubser | Steven S. Gubser and P.J.E. Peebles | Structure formation in a string-inspired modification of the cold dark
matter model | 27 pages, 1 figure. v2: minor improvements | Phys.Rev. D70 (2004) 123510 | 10.1103/PhysRevD.70.123510 | PUPT-2112 | hep-th astro-ph | null | Motivated in part by string theory, we consider the idea that the standard
LambdaCDM cosmological model might be modified by the effect of a long-range
scalar dark matter interaction. The variant of this widely-discussed notion
considered here is suggested by the Brandenberger-Vafa picture for why we
perceive three spatial dimensions. In this picture there may be at least two
species of dark matter particles, with scalar ``charges'' such that the scalar
interaction attracts particles with like sign and repels unlike signs. The net
charge vanishes. Under this condition the evolution of the mass distribution in
linear perturbation theory is the same as in the LambdaCDM cosmology, and both
models therefore can equally well pass the available cosmological tests. The
physics can be very different on small scales, however: if the scalar
interaction has the strength suggested by simple versions of the string
scenario, nonlinear mass concentrations are unstable against separation into
charged halos with properties unlike the standard model prediction and possibly
of observational interest.
| [
{
"created": "Fri, 27 Feb 2004 20:20:03 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 2004 17:43:39 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gubser",
"Steven S.",
""
],
[
"Peebles",
"P. J. E.",
""
]
] | Motivated in part by string theory, we consider the idea that the standard LambdaCDM cosmological model might be modified by the effect of a long-range scalar dark matter interaction. The variant of this widely-discussed notion considered here is suggested by the Brandenberger-Vafa picture for why we perceive three spatial dimensions. In this picture there may be at least two species of dark matter particles, with scalar ``charges'' such that the scalar interaction attracts particles with like sign and repels unlike signs. The net charge vanishes. Under this condition the evolution of the mass distribution in linear perturbation theory is the same as in the LambdaCDM cosmology, and both models therefore can equally well pass the available cosmological tests. The physics can be very different on small scales, however: if the scalar interaction has the strength suggested by simple versions of the string scenario, nonlinear mass concentrations are unstable against separation into charged halos with properties unlike the standard model prediction and possibly of observational interest. |
1111.4948 | Willy Fischler | Tom Banks and Willy Fischler | Holographic Theories of Inflation and Fluctuations | 40 pages, 1 figure, major changes | null | null | RUNHETC-2011-22; SCIPP-11-08; UTTG-26-11; TCC-030-11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theory of holographic space-time (HST) generalizes both string theory and
quantum field theory. It provides a geometric rationale for supersymmetry
(SUSY) and a formalism in which super-Poincare invariance follows from Poincare
invariance. HST unifies particles and black holes, realizing both as
excitations of non-commutative geometrical variables on a holographic screen.
Compact extra dimensions are interpreted as finite dimensional unitary
representations of super- algebras, and have no moduli. Full field theoretic
Fock spaces, and continuous moduli are both emergent phenomena of
super-Poincare invariant limits in which the number of holographic degrees of
freedom goes to infinity. Finite radius de Sitter (dS) spaces have no moduli,
and break SUSY with a gravitino mass scaling like $\Lambda^{1/4}$. We present a
holographic theory of inflation and fluctuations. The inflaton field is an
emergent concept, describing the geometry of an underlying HST model, rather
than "a field associated with a microscopic string theory". We argue that the
phrase in quotes is meaningless in the HST formalism.
| [
{
"created": "Mon, 21 Nov 2011 17:38:20 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 19:31:44 GMT",
"version": "v2"
}
] | 2011-12-07 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] | The theory of holographic space-time (HST) generalizes both string theory and quantum field theory. It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare invariance. HST unifies particles and black holes, realizing both as excitations of non-commutative geometrical variables on a holographic screen. Compact extra dimensions are interpreted as finite dimensional unitary representations of super- algebras, and have no moduli. Full field theoretic Fock spaces, and continuous moduli are both emergent phenomena of super-Poincare invariant limits in which the number of holographic degrees of freedom goes to infinity. Finite radius de Sitter (dS) spaces have no moduli, and break SUSY with a gravitino mass scaling like $\Lambda^{1/4}$. We present a holographic theory of inflation and fluctuations. The inflaton field is an emergent concept, describing the geometry of an underlying HST model, rather than "a field associated with a microscopic string theory". We argue that the phrase in quotes is meaningless in the HST formalism. |
2309.16776 | Giovani Peruzzo | David Dudal, Duifje Maria van Egmond, Giovani Peruzzo, Silvio Paolo
Sorella | BRST invariant scalar and vector operators in the
$SU\left(2\right)\times U\left(1\right)$ Higgs model | 15 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a set of BRST invariant composite operators in the
$SU\left(2\right)\times U\left(1\right)$ Higgs model which exhibit an overlap
with the observable scalar and vector particle states of the theory. Some of
these operators are non-local in the standard formulation of the Higgs model,
however, we show that they can be localized using the Stuckelberg trick, this
without changing the physical content. These operators provide thus a BRST
invariant resolution of the physical spectrum of the theory, thereby giving the
next step in constructing a manifestly BRST invariant formulation of the
particle spectrum of the Electroweak and Standard model.
| [
{
"created": "Thu, 28 Sep 2023 18:12:44 GMT",
"version": "v1"
}
] | 2023-10-02 | [
[
"Dudal",
"David",
""
],
[
"van Egmond",
"Duifje Maria",
""
],
[
"Peruzzo",
"Giovani",
""
],
[
"Sorella",
"Silvio Paolo",
""
]
] | We present a set of BRST invariant composite operators in the $SU\left(2\right)\times U\left(1\right)$ Higgs model which exhibit an overlap with the observable scalar and vector particle states of the theory. Some of these operators are non-local in the standard formulation of the Higgs model, however, we show that they can be localized using the Stuckelberg trick, this without changing the physical content. These operators provide thus a BRST invariant resolution of the physical spectrum of the theory, thereby giving the next step in constructing a manifestly BRST invariant formulation of the particle spectrum of the Electroweak and Standard model. |
hep-th/9305046 | null | Marcelo R. Ubriaco | Quantum Group Schr\"{o}dinger Field Theory | 11 pages,LaTeX, LTP-035-UPR | Mod.Phys.Lett. A8 (1993) 2213 | 10.1142/S021773239300194X | null | hep-th | null | We show that a quantum deformation of quantum mechanics given in a previous
work is equivalent to quantum mechanics on a nonlinear lattice with step size
$\Delta x=~(1-q)x$. Then, based on this, we develop the basic formalism of
quantum group Schr\"{o}dinger field theory in one spatial quantum dimension,
and explicitly exhibit the $SU_{q}(2)$ covariant algebras satisfied by the
$q$-bosonic and $q$-fermionic Schr\"{o}dinger fields. We generalize this result
to an arbitrary number of fields.
| [
{
"created": "Tue, 11 May 1993 19:43:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ubriaco",
"Marcelo R.",
""
]
] | We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size $\Delta x=~(1-q)x$. Then, based on this, we develop the basic formalism of quantum group Schr\"{o}dinger field theory in one spatial quantum dimension, and explicitly exhibit the $SU_{q}(2)$ covariant algebras satisfied by the $q$-bosonic and $q$-fermionic Schr\"{o}dinger fields. We generalize this result to an arbitrary number of fields. |
2104.05768 | Mehrdad Farhoudi Prof. | Maysam Yousefian and Mehrdad Farhoudi | A `Third' Quantization Constructed for Gauge Theory of Gravity | revised version,12 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In general, a global and unique vacuum state cannot be constructed for a
curved space. As a remedy, we introduce a curved space background geometry with
a Minkowski metric tensor and locally non-zero curvature and torsion. Based on
this geometry, we propose a `third'/vacuum quantization model as a consequence
of Unruh effect. Accordingly, we introduce a `third' quantization scalar field
as a general coordinate transformation of spacetime for the second quantization
fields. Then we show that in the classical limit, the `third' quantization
fields appear as Riemannian manifolds with an emergent metric on which the
second quantization fields are located. This way, the standard model of field
theory turns out as an effective theory. Moreover, using the proposed `third'
quantization fields, we build a $U(1)\times SU(4)$ Yang-Mills gauge theory for
gravity. According to this gravitational model, we indicate that an analytical
solution of the presented gravitational model, for the `third' quantum field
particle trajectory (such as a star), corresponds to the trajectory of a test
particle in the Mannheim-Kazanas space. Furthermore, by using non-perturbative
methods and lattice gauge theory results, we render a solution for the
potential of the constructed model that can explain the galaxy rotation curves
and gravitational lensing without any need to dark matter. We also address the
cosmic microwave background phenomenon and the expansion of the universe.
| [
{
"created": "Mon, 12 Apr 2021 18:56:55 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Sep 2021 14:07:58 GMT",
"version": "v2"
}
] | 2021-09-07 | [
[
"Yousefian",
"Maysam",
""
],
[
"Farhoudi",
"Mehrdad",
""
]
] | In general, a global and unique vacuum state cannot be constructed for a curved space. As a remedy, we introduce a curved space background geometry with a Minkowski metric tensor and locally non-zero curvature and torsion. Based on this geometry, we propose a `third'/vacuum quantization model as a consequence of Unruh effect. Accordingly, we introduce a `third' quantization scalar field as a general coordinate transformation of spacetime for the second quantization fields. Then we show that in the classical limit, the `third' quantization fields appear as Riemannian manifolds with an emergent metric on which the second quantization fields are located. This way, the standard model of field theory turns out as an effective theory. Moreover, using the proposed `third' quantization fields, we build a $U(1)\times SU(4)$ Yang-Mills gauge theory for gravity. According to this gravitational model, we indicate that an analytical solution of the presented gravitational model, for the `third' quantum field particle trajectory (such as a star), corresponds to the trajectory of a test particle in the Mannheim-Kazanas space. Furthermore, by using non-perturbative methods and lattice gauge theory results, we render a solution for the potential of the constructed model that can explain the galaxy rotation curves and gravitational lensing without any need to dark matter. We also address the cosmic microwave background phenomenon and the expansion of the universe. |
1106.2492 | Nikolaos Tetradis | N. Tetradis | Entropy from AdS(3)/CFT(2) | major revision with several clarifications and corrections, 22 pages | null | 10.1007/JHEP02(2012)054 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with
Fefferman-Graham coordinates starting from the AdS boundary. We consider
various boundary metrics: Rindler, static de Sitter and FRW. In each case, we
compute the holographic stress-energy tensor of the dual CFT and confirm that
it has the correct form, including the effects of the conformal anomaly. We
find that the Fefferman-Graham parametrization also spans a second copy of the
AdS space, including a second boundary. For the boundary metrics we consider,
the Fefferman-Graham coordinates do not cover the whole AdS space. We propose
that the length of the line delimiting the excluded region at a given time can
be identified with the entropy of the dual CFT on a background determined by
the boundary metric. For Rindler and de Sitter backgrounds our proposal
reproduces the expected entropy. For a FRW background it produces a
generalization of the Cardy formula that takes into account the vacuum energy
related to the expansion.
| [
{
"created": "Mon, 13 Jun 2011 17:12:14 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2011 10:40:13 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Tetradis",
"N.",
""
]
] | We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with Fefferman-Graham coordinates starting from the AdS boundary. We consider various boundary metrics: Rindler, static de Sitter and FRW. In each case, we compute the holographic stress-energy tensor of the dual CFT and confirm that it has the correct form, including the effects of the conformal anomaly. We find that the Fefferman-Graham parametrization also spans a second copy of the AdS space, including a second boundary. For the boundary metrics we consider, the Fefferman-Graham coordinates do not cover the whole AdS space. We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric. For Rindler and de Sitter backgrounds our proposal reproduces the expected entropy. For a FRW background it produces a generalization of the Cardy formula that takes into account the vacuum energy related to the expansion. |
2011.05264 | Simony Santos da Costa | R. M. P. Neves, S. Santos da Costa, F. A. Brito, J. S. Alcaniz | Brane inflation driven by an arctan potential: CMB constraints and
Reheating | 14 pages, 7 figures, 2 tables; typos corrected, one reference added;
new section added and new results obtained; 3 new references. Published in
JCAP | JCAP07(2022)024 | 10.1088/1475-7516/2022/07/024 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the early universe evolution in the context of brane inflation
driven by a supergravity-inspired $\arctan$ potential. We performed a slow-roll
and a semi-analytical reheating analyses and obtained constraints on the
inflationary parameters in agreement with Planck 2018 data. We also employed a
Markov Chain Monte Carlo analysis to perform a parameter estimation of the
cosmological parameters, obtaining results in good agreement with the currently
available cosmic microwave background and baryon acoustic oscillation data.
This work establishes the general theoretical predictions of the $\arctan$
model, with the results of the statistical analysis corroborating its
observational viability.
| [
{
"created": "Tue, 10 Nov 2020 17:31:12 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2020 05:10:55 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Feb 2022 00:49:37 GMT",
"version": "v3"
},
{
"created": "Fri, 15 Jul 2022 15:29:51 GMT",
"version": "v4"
}
] | 2022-07-18 | [
[
"Neves",
"R. M. P.",
""
],
[
"da Costa",
"S. Santos",
""
],
[
"Brito",
"F. A.",
""
],
[
"Alcaniz",
"J. S.",
""
]
] | We investigate the early universe evolution in the context of brane inflation driven by a supergravity-inspired $\arctan$ potential. We performed a slow-roll and a semi-analytical reheating analyses and obtained constraints on the inflationary parameters in agreement with Planck 2018 data. We also employed a Markov Chain Monte Carlo analysis to perform a parameter estimation of the cosmological parameters, obtaining results in good agreement with the currently available cosmic microwave background and baryon acoustic oscillation data. This work establishes the general theoretical predictions of the $\arctan$ model, with the results of the statistical analysis corroborating its observational viability. |
hep-th/0207107 | Barton Zwiebach | Nicolas Moeller and Barton Zwiebach | Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons | 46 pages, 14 figures, LaTeX. Replaced version: Minor typos corrected,
some figures edited for clarity | JHEP 0210 (2002) 034 | 10.1088/1126-6708/2002/10/034 | CTP-MIT-3283 | hep-th | null | Both in string field theory and in p-adic string theory the equations of
motion involve infinite number of time derivatives. We argue that the initial
value problem is qualitatively different from that obtained in the limit of
many time derivatives in that the space of initial conditions becomes strongly
constrained. We calculate the energy-momentum tensor and study in detail time
dependent solutions representing tachyons rolling on the p-adic string theory
potentials. For even potentials we find surprising small oscillations at the
tachyon vacuum. These are not conventional physical states but rather
anharmonic oscillations with a nontrivial frequency--amplitude relation. When
the potentials are not even, small oscillatory solutions around the bottom must
grow in amplitude without a bound. Open string field theory resembles this
latter case, the tachyon rolls to the bottom and ever growing oscillations
ensue. We discuss the significance of these results for the issues of emerging
closed strings and tachyon matter.
| [
{
"created": "Thu, 11 Jul 2002 14:58:10 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2002 15:04:41 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Moeller",
"Nicolas",
""
],
[
"Zwiebach",
"Barton",
""
]
] | Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from that obtained in the limit of many time derivatives in that the space of initial conditions becomes strongly constrained. We calculate the energy-momentum tensor and study in detail time dependent solutions representing tachyons rolling on the p-adic string theory potentials. For even potentials we find surprising small oscillations at the tachyon vacuum. These are not conventional physical states but rather anharmonic oscillations with a nontrivial frequency--amplitude relation. When the potentials are not even, small oscillatory solutions around the bottom must grow in amplitude without a bound. Open string field theory resembles this latter case, the tachyon rolls to the bottom and ever growing oscillations ensue. We discuss the significance of these results for the issues of emerging closed strings and tachyon matter. |
1806.09621 | Matthew Reece | Prateek Agrawal, JiJi Fan, and Matthew Reece | Clockwork Axions in Cosmology: Is Chromonatural Inflation Chrononatural? | null | null | 10.1007/JHEP10(2018)193 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many cosmological models rely on large couplings of axions to gauge fields.
Examples include theories of magnetogenesis, inflation on a steep potential,
chiral gravitational waves, and chromonatural inflation. Such theories require
a mismatch between the axion field range and the mass scale appearing in the $a
F \widetilde{F}$ coupling. This mismatch suggests an underlying monodromy, with
the axion winding around its fundamental period a large number of times. We
investigate the extent to which this integer can be explained as a product of
smaller integers in a UV completion: in the parlance of our times, can the
theory be "clockworked"? We argue that a clockwork construction producing a
potential $\mu^4 \cos(\frac{a}{j F_a})$ for an axion of fundamental period
$F_a$ will obey the constraint $\mu < F_a$. For some applications, including
chromonatural inflation with sub-Planckian field range, this constraint
obstructs a clockwork UV completion. Alternative routes to a large coupling
include fields of large charge (an approach limited by strong coupling) or
kinetic mixing (requiring a lighter axion). Our results suggest that
completions of axion cosmologies that explain the large parameter in the theory
potentially alter the phenomenological predictions of the model.
| [
{
"created": "Mon, 25 Jun 2018 18:00:00 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Agrawal",
"Prateek",
""
],
[
"Fan",
"JiJi",
""
],
[
"Reece",
"Matthew",
""
]
] | Many cosmological models rely on large couplings of axions to gauge fields. Examples include theories of magnetogenesis, inflation on a steep potential, chiral gravitational waves, and chromonatural inflation. Such theories require a mismatch between the axion field range and the mass scale appearing in the $a F \widetilde{F}$ coupling. This mismatch suggests an underlying monodromy, with the axion winding around its fundamental period a large number of times. We investigate the extent to which this integer can be explained as a product of smaller integers in a UV completion: in the parlance of our times, can the theory be "clockworked"? We argue that a clockwork construction producing a potential $\mu^4 \cos(\frac{a}{j F_a})$ for an axion of fundamental period $F_a$ will obey the constraint $\mu < F_a$. For some applications, including chromonatural inflation with sub-Planckian field range, this constraint obstructs a clockwork UV completion. Alternative routes to a large coupling include fields of large charge (an approach limited by strong coupling) or kinetic mixing (requiring a lighter axion). Our results suggest that completions of axion cosmologies that explain the large parameter in the theory potentially alter the phenomenological predictions of the model. |
hep-th/9703067 | Mr I. Zois student | I.P. Zois (Mathematical Institute, Oxford University) | On search for the M-Theory Lagrangian | Latex, 5 pages, no figures | Phys.Lett. B402 (1997) 33-35 | 10.1016/S0370-2693(97)00425-5 | null | hep-th | null | We present a starting point for the search for a Lagrangian density for
M-Theory using characteristic classes for flat foliations of bundles.
| [
{
"created": "Sun, 9 Mar 1997 15:41:40 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Zois",
"I. P.",
"",
"Mathematical Institute, Oxford University"
]
] | We present a starting point for the search for a Lagrangian density for M-Theory using characteristic classes for flat foliations of bundles. |
hep-th/0612012 | Don Marolf | Donald Marolf | Asymptotic Flatness, Little String Theory, and Holography | 27 pages, 2 figures. Explicit discussion added of using the Wightman
function method to calculate time-ordered boundary 2-point functions. The
resulting branch cuts are linked to the bulk spectrum of states | JHEP 0703:122,2007 | 10.1088/1126-6708/2007/03/122 | null | hep-th gr-qc | null | We argue that any non-gravitational holographic dual to asymptotically flat
string theory in $d$-dimensions naturally resides at spacelike infinity. Since
spacelike infinity can be resovled as a $(d-1)$-dimensional timelike
hyperboloid (i.e., as a copy of de Sitter space in $(d-1)$ dimensions), the
dual theory is defined on a Lorentz signature spacetime. Conceptual issues
regarding such a duality are clarified by comparison with linear dilaton
boundary conditions, such as those dual to little string theory. We compute
both time-ordered and Wightman boundary 2-point functions of operators dual to
massive scalar fields in the asymptotically flat bulk.
| [
{
"created": "Fri, 1 Dec 2006 18:43:19 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2006 22:45:36 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2007 17:01:09 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Marolf",
"Donald",
""
]
] | We argue that any non-gravitational holographic dual to asymptotically flat string theory in $d$-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a $(d-1)$-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in $(d-1)$ dimensions), the dual theory is defined on a Lorentz signature spacetime. Conceptual issues regarding such a duality are clarified by comparison with linear dilaton boundary conditions, such as those dual to little string theory. We compute both time-ordered and Wightman boundary 2-point functions of operators dual to massive scalar fields in the asymptotically flat bulk. |
1409.8664 | Panagiota Kanti | Panagiota Kanti, Thomas Pappas and Nikolaos Pappas | Greybody Factors for Scalar Fields emitted by a Higher-Dimensional
Schwarzschild-de-Sitter Black-Hole | Latex file, 28 pages, 10 figures, references added, typos corrected,
version to appear in Physical Review D | null | 10.1103/PhysRevD.90.124077 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we consider the propagation of scalar particles in a
higher-dimensional Schwarzschild-de-Sitter black-hole spacetime, both on the
brane and in the bulk. Our analysis applies for arbitrary partial modes and for
both minimal and non-minimal coupling of the scalar field. A general expression
for the greybody factor is analytically derived in each case, and its
low-energy behaviour is studied in detail. Its profile in terms of scalar
properties (angular-momentum number and non-minimal coupling parameter) and
spacetime properties (number of extra dimensions and cosmological constant) is
thoroughly investigated. In contrast to previous studies, the effect of the
cosmological constant is taken into account both close to and far away from the
black-hole horizon. The dual role of the cosmological constant, that may act
either as a helping agent to the emission of scalar particles or as a deterring
effect depending on the value of the non-minimal coupling parameter, is also
demonstrated.
| [
{
"created": "Tue, 30 Sep 2014 19:30:21 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Dec 2014 20:49:48 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Kanti",
"Panagiota",
""
],
[
"Pappas",
"Thomas",
""
],
[
"Pappas",
"Nikolaos",
""
]
] | In this work, we consider the propagation of scalar particles in a higher-dimensional Schwarzschild-de-Sitter black-hole spacetime, both on the brane and in the bulk. Our analysis applies for arbitrary partial modes and for both minimal and non-minimal coupling of the scalar field. A general expression for the greybody factor is analytically derived in each case, and its low-energy behaviour is studied in detail. Its profile in terms of scalar properties (angular-momentum number and non-minimal coupling parameter) and spacetime properties (number of extra dimensions and cosmological constant) is thoroughly investigated. In contrast to previous studies, the effect of the cosmological constant is taken into account both close to and far away from the black-hole horizon. The dual role of the cosmological constant, that may act either as a helping agent to the emission of scalar particles or as a deterring effect depending on the value of the non-minimal coupling parameter, is also demonstrated. |
hep-th/0009175 | Jin Young Kim | Jin Young Kim | Brane inflation in tachyonic and non-tachyonic type 0B string theories | 13 pages, no figure, RevTex | Phys.Rev. D63 (2001) 045014 | 10.1103/PhysRevD.63.045014 | null | hep-th | null | We consider the motion of the brane universe moving in a background bulk
space of tachyonic and non-tachyonic type 0B string theory. The effective
densities are calculated for both cases and they show different power law
behavior. Brane inflation for non-tachyonic type 0B background has the same
power law behavior as that for type IIB background. The brane inflation under
tachyonic background is less divergent than the one without tachyon. The role
of tachyonic field in brane inflation scenario is different from that of the
ordinary matter field.
| [
{
"created": "Fri, 22 Sep 2000 02:23:59 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kim",
"Jin Young",
""
]
] | We consider the motion of the brane universe moving in a background bulk space of tachyonic and non-tachyonic type 0B string theory. The effective densities are calculated for both cases and they show different power law behavior. Brane inflation for non-tachyonic type 0B background has the same power law behavior as that for type IIB background. The brane inflation under tachyonic background is less divergent than the one without tachyon. The role of tachyonic field in brane inflation scenario is different from that of the ordinary matter field. |
hep-th/0011192 | Yang-Hui Evariste He | Bo Feng, Amihay Hanany, Yang-Hui He and Nikolaos Prezas | Discrete Torsion, Covering Groups and Quiver Diagrams | 26 pages, 8 figures, some errors corrected | JHEP 0104:037,2001 | 10.1088/1126-6708/2001/04/037 | MIT-CTP-3046 | hep-th | null | Without recourse to the sophisticated machinery of twisted group algebras,
projective character tables and explicit values of 2-cocycles, we here present
a simple algorithm to study the gauge theory data of D-brane probes on a
generic orbifold G with discrete torsion turned on. We show in particular that
the gauge theory can be obtained with the knowledge of no more than the
ordinary character tables of G and its covering group G*. Subsequently we
present the quiver diagrams of certain illustrative examples of SU(3)-orbifolds
which have non-trivial Schur Multipliers. The paper serves as a companion to
our earlier work (arXiv:hep-th/0010023) and aims to initiate a systematic and
computationally convenient study of discrete torsion.
| [
{
"created": "Tue, 21 Nov 2000 17:26:02 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2000 21:46:58 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2001 23:33:58 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Feng",
"Bo",
""
],
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Prezas",
"Nikolaos",
""
]
] | Without recourse to the sophisticated machinery of twisted group algebras, projective character tables and explicit values of 2-cocycles, we here present a simple algorithm to study the gauge theory data of D-brane probes on a generic orbifold G with discrete torsion turned on. We show in particular that the gauge theory can be obtained with the knowledge of no more than the ordinary character tables of G and its covering group G*. Subsequently we present the quiver diagrams of certain illustrative examples of SU(3)-orbifolds which have non-trivial Schur Multipliers. The paper serves as a companion to our earlier work (arXiv:hep-th/0010023) and aims to initiate a systematic and computationally convenient study of discrete torsion. |
0909.1848 | Tarun Biswas | Tarun Biswas | Another Alternative to the Higgs Mechanism | 5 pages, uses PiCTeX | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Higgs mechanism is designed to generate mass for massless particles. The
mass comes from the interaction of observed particles with an external field --
the Higgs field. In the past, several alternatives to the Higgs mechanism for
mass generation have been proposed to avoid the postulation of the Higgs field.
This article proposes yet another one. This alternative is distinctly different
from the others because it considers mass generation through internal
interactions of a particle rather than interactions with external fields. This
requires particles to have an internal structure beyond intrinsic spin. A
complete field theory of such composite particles is seen to be possible. Of
course, if Higgs bosons are observed by experiment, there will be no need for
any alternatives. On the other hand, if experiment fails to detect Higgs
bosons, such alternate mechanisms for particle mass generation would be very
useful.
| [
{
"created": "Wed, 9 Sep 2009 23:40:27 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"Biswas",
"Tarun",
""
]
] | The Higgs mechanism is designed to generate mass for massless particles. The mass comes from the interaction of observed particles with an external field -- the Higgs field. In the past, several alternatives to the Higgs mechanism for mass generation have been proposed to avoid the postulation of the Higgs field. This article proposes yet another one. This alternative is distinctly different from the others because it considers mass generation through internal interactions of a particle rather than interactions with external fields. This requires particles to have an internal structure beyond intrinsic spin. A complete field theory of such composite particles is seen to be possible. Of course, if Higgs bosons are observed by experiment, there will be no need for any alternatives. On the other hand, if experiment fails to detect Higgs bosons, such alternate mechanisms for particle mass generation would be very useful. |
1603.09625 | Daniel Are\'an | Mario Araujo, Daniel Arean, Javier M. Lizana | Noisy Branes | 40 pages, 16 figures. V2: improved analysis of the conductivity (Sec.
3): new numerical and analytic results, in particular at strong disorder.
Clarifications added and typos corrected. Published version | null | 10.1007/JHEP07(2016)091 | MPP-2016-34 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of disorder on strongly coupled compressible matter in
2+1 dimensions. Our system consists of a D3/D5 intersection at finite
temperature and in the presence of a disordered chemical potential. We first
study the impact of disorder on the charge density and the quark condensate.
Next, we focus on the DC conductivity and derive analytic expressions for the
corrections induced by weak disorder. It is found that disorder enhances the DC
conductivity at low charge density, while for large charge density the
conductivity is reduced. We present numerical simulations both for weak and
strong disorder. Finally, we show how disorder gives rise to a sublinear
behavior for the conductivity as a function of the charge density, a behavior
qualitatively similar to predictions and observations for electric transport in
graphene.
| [
{
"created": "Thu, 31 Mar 2016 15:07:38 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2016 17:29:54 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Araujo",
"Mario",
""
],
[
"Arean",
"Daniel",
""
],
[
"Lizana",
"Javier M.",
""
]
] | We study the effects of disorder on strongly coupled compressible matter in 2+1 dimensions. Our system consists of a D3/D5 intersection at finite temperature and in the presence of a disordered chemical potential. We first study the impact of disorder on the charge density and the quark condensate. Next, we focus on the DC conductivity and derive analytic expressions for the corrections induced by weak disorder. It is found that disorder enhances the DC conductivity at low charge density, while for large charge density the conductivity is reduced. We present numerical simulations both for weak and strong disorder. Finally, we show how disorder gives rise to a sublinear behavior for the conductivity as a function of the charge density, a behavior qualitatively similar to predictions and observations for electric transport in graphene. |
hep-th/0511140 | Ali Nayeri | Ali Nayeri, Robert H. Brandenberger and Cumrun Vafa | Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn
Phase of String Cosmology | 4 pages, 1 figure | Phys.Rev.Lett.97:021302,2006 | 10.1103/PhysRevLett.97.021302 | HUTP-05/A048 | hep-th astro-ph gr-qc hep-ph | null | We study the generation of cosmological perturbations during the Hagedorn
phase of string gas cosmology. Using tools of string thermodynamics we provide
indications that it may be possible to obtain a nearly scale-invariant spectrum
of cosmological fluctuations on scales which are of cosmological interest
today. In our cosmological scenario, the early Hagedorn phase of string gas
cosmology goes over smoothly into the radiation-dominated phase of standard
cosmology, without having a period of cosmological inflation.
| [
{
"created": "Mon, 14 Nov 2005 05:05:01 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2005 19:23:25 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Nayeri",
"Ali",
""
],
[
"Brandenberger",
"Robert H.",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We study the generation of cosmological perturbations during the Hagedorn phase of string gas cosmology. Using tools of string thermodynamics we provide indications that it may be possible to obtain a nearly scale-invariant spectrum of cosmological fluctuations on scales which are of cosmological interest today. In our cosmological scenario, the early Hagedorn phase of string gas cosmology goes over smoothly into the radiation-dominated phase of standard cosmology, without having a period of cosmological inflation. |
hep-th/0611083 | Don N. Page | Don N. Page, David Kubiznak, Muraari Vasudevan, and Pavel Krtous | Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS
Spacetimes | 4 pages. We have now found that the geodesic motion is not just
integrable, but completely integrable | Phys.Rev.Lett.98:061102,2007 | 10.1103/PhysRevLett.98.061102 | Alberta-Thy-13-06 | hep-th gr-qc | null | We explicitly exhibit n-1 constants of motion for geodesics in the general
D-dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from
contractions of even powers of the 2-form obtained by contracting the geodesic
velocity with the dual of the contraction of the velocity with the
(D-2)-dimensional Killing-Yano tensor. These constants of motion are
functionally independent of each other and of the D-n+1 constants of motion
that arise from the metric and the D-n = [(D+1)/2] Killing vectors, making a
total of D independent constants of motion in all dimensions D. The Poisson
brackets of all pairs of these D constants are zero, so geodesic motion in
these spacetimes is completely integrable.
| [
{
"created": "Wed, 8 Nov 2006 00:32:52 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Nov 2006 20:54:09 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Nov 2006 20:49:00 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Page",
"Don N.",
""
],
[
"Kubiznak",
"David",
""
],
[
"Vasudevan",
"Muraari",
""
],
[
"Krtous",
"Pavel",
""
]
] | We explicitly exhibit n-1 constants of motion for geodesics in the general D-dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from contractions of even powers of the 2-form obtained by contracting the geodesic velocity with the dual of the contraction of the velocity with the (D-2)-dimensional Killing-Yano tensor. These constants of motion are functionally independent of each other and of the D-n+1 constants of motion that arise from the metric and the D-n = [(D+1)/2] Killing vectors, making a total of D independent constants of motion in all dimensions D. The Poisson brackets of all pairs of these D constants are zero, so geodesic motion in these spacetimes is completely integrable. |
2308.01717 | Ki-Hong Lee | Minseok Cho, Sunjin Choi, Ki-Hong Lee, Jaewon Song | Supersymmetric Cardy Formula and the Weak Gravity Conjecture in AdS/CFT | 25 pages, 6 figures | null | null | KIAS-P23032 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Weak Gravity Conjecture (WGC) in anti-de Sitter spacetime (AdS) asserts
the existence of an operator in the boundary conformal field theory (CFT) whose
scaling dimension-to-charge ratio satisfies a certain upper bound. This bound
is specified by the ratio of the conformal central charge $c$ and the flavor
central charge $k_F$. We propose a modified bound in AdS5/CFT4, determined by a
combination of two central charges $3c-2a$ instead of $c$. This combination
arises in the Cardy-like limit of the 4d superconformal index, which captures
the Bekenstein-Hawking entropy of large BPS black holes in AdS5. Using the new
bound, we find that certain superconformal field theories (SCFTs) that are
previously thought to violate the AdS WGC, including SQCDs in the conformal
window, do satisfy the WGC. We check this version of the WGC against all
possible superconformal gauge theories with SU(N) gauge group admitting a large
N limit when the superpotential is absent. We conjecture the modified version
of the WGC is a generic property of any 4d SCFT, regardless of the existence of
a weakly coupled gravity dual or a large N limit.
| [
{
"created": "Thu, 3 Aug 2023 12:19:54 GMT",
"version": "v1"
}
] | 2023-08-04 | [
[
"Cho",
"Minseok",
""
],
[
"Choi",
"Sunjin",
""
],
[
"Lee",
"Ki-Hong",
""
],
[
"Song",
"Jaewon",
""
]
] | The Weak Gravity Conjecture (WGC) in anti-de Sitter spacetime (AdS) asserts the existence of an operator in the boundary conformal field theory (CFT) whose scaling dimension-to-charge ratio satisfies a certain upper bound. This bound is specified by the ratio of the conformal central charge $c$ and the flavor central charge $k_F$. We propose a modified bound in AdS5/CFT4, determined by a combination of two central charges $3c-2a$ instead of $c$. This combination arises in the Cardy-like limit of the 4d superconformal index, which captures the Bekenstein-Hawking entropy of large BPS black holes in AdS5. Using the new bound, we find that certain superconformal field theories (SCFTs) that are previously thought to violate the AdS WGC, including SQCDs in the conformal window, do satisfy the WGC. We check this version of the WGC against all possible superconformal gauge theories with SU(N) gauge group admitting a large N limit when the superpotential is absent. We conjecture the modified version of the WGC is a generic property of any 4d SCFT, regardless of the existence of a weakly coupled gravity dual or a large N limit. |
2203.07449 | Chandramouli Chowdhury | Chandramouli Chowdhury and Olga Papadoulaki | Recovering information in an asymptotically flat spacetime in quantum
gravity | 26 pages, 1 figure, 1 Mathematica file | null | 10.1088/1361-6382/aca192 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As an extension of arXiv:\{2002.02448, 2008.10740\} we present a physical
protocol that a set of observers can use to detect a pure state in the bulk
when they are spread across a small cut near $\mathcal{I}^+_-$ in flat
spacetime. The protocol involves the modification of a bulk state using simple
unitary operators and measurements of the energy of the state. The states that
we study are constructed by acting with low energy operators on a vacuum state
such that a perturbative analysis is valid. We restrict ourselves to $3+1$
dimensional spacetimes and only consider massless excitations. From this
analysis, the principle of holography of information becomes manifest in the
case of asymptotically flat spacetime.
| [
{
"created": "Mon, 14 Mar 2022 19:07:50 GMT",
"version": "v1"
}
] | 2022-12-07 | [
[
"Chowdhury",
"Chandramouli",
""
],
[
"Papadoulaki",
"Olga",
""
]
] | As an extension of arXiv:\{2002.02448, 2008.10740\} we present a physical protocol that a set of observers can use to detect a pure state in the bulk when they are spread across a small cut near $\mathcal{I}^+_-$ in flat spacetime. The protocol involves the modification of a bulk state using simple unitary operators and measurements of the energy of the state. The states that we study are constructed by acting with low energy operators on a vacuum state such that a perturbative analysis is valid. We restrict ourselves to $3+1$ dimensional spacetimes and only consider massless excitations. From this analysis, the principle of holography of information becomes manifest in the case of asymptotically flat spacetime. |
1203.0421 | Naoki Sasakura | Naoki Sasakura | Uniqueness of canonical tensor model with local time | 21 pages, 12 figures. The final result unchanged. Section 5 rewritten
for clearer discussions. The range of uniqueness commented in the final
section. Some other minor corrections | null | 10.1142/S0217751X12500960 | YITP-12-12 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical formalism of the rank-three tensor model has recently been
proposed, in which "local" time is consistently incorporated by a set of first
class constraints. By brute-force analysis, this paper shows that there exist
only two forms of a Hamiltonian constraint which satisfies the following
assumptions: (i) A Hamiltonian constraint has one index. (ii) The kinematical
symmetry is given by an orthogonal group. (iii) A consistent first class
constraint algebra is formed by a Hamiltonian constraint and the generators of
the kinematical symmetry. (iv) A Hamiltonian constraint is invariant under time
reversal transformation. (v) A Hamiltonian constraint is an at most cubic
polynomial function of canonical variables. (vi) There are no disconnected
terms in a constraint algebra. The two forms are the same except for a slight
difference in index contractions. The Hamiltonian constraint which was obtained
in the previous paper and behaved oddly under time reversal symmetry can
actually be transformed to one of them by a canonical change of variables. The
two-fold uniqueness is shown up to the potential ambiguity of adding terms
which vanish in the limit of pure gravitational physics.
| [
{
"created": "Fri, 2 Mar 2012 11:18:02 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jan 2013 06:39:06 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Sasakura",
"Naoki",
""
]
] | Canonical formalism of the rank-three tensor model has recently been proposed, in which "local" time is consistently incorporated by a set of first class constraints. By brute-force analysis, this paper shows that there exist only two forms of a Hamiltonian constraint which satisfies the following assumptions: (i) A Hamiltonian constraint has one index. (ii) The kinematical symmetry is given by an orthogonal group. (iii) A consistent first class constraint algebra is formed by a Hamiltonian constraint and the generators of the kinematical symmetry. (iv) A Hamiltonian constraint is invariant under time reversal transformation. (v) A Hamiltonian constraint is an at most cubic polynomial function of canonical variables. (vi) There are no disconnected terms in a constraint algebra. The two forms are the same except for a slight difference in index contractions. The Hamiltonian constraint which was obtained in the previous paper and behaved oddly under time reversal symmetry can actually be transformed to one of them by a canonical change of variables. The two-fold uniqueness is shown up to the potential ambiguity of adding terms which vanish in the limit of pure gravitational physics. |
hep-th/0010121 | S. Kalyana Rama | S. Kalyana Rama | Brane World Scenario with m-form field: Stabilisation of Radion Modulus
and Self Tuning Solutions | 14 pages. Latex file. More references added. To appear in Physics
Letters B | Phys.Lett. B495 (2000) 176-182 | null | IMSc/2000/10/55 | hep-th hep-ph | null | We consider (n + m + 1) dimensional bulk spacetime, containing flat (n + m -
1) dimensional parallel branes, with topology R^{n - 1} \times T^m. We assume
that the graviton and an m-form field are the only bulk fields and that the
m-form field has non vanishing components along the T^m directions only. We
then find that the m-form field, with suitable bulk and brane potentials, can
stabilise the radion modulus at the required value with no fine tuning. We find
self tuning solutions also.
| [
{
"created": "Mon, 16 Oct 2000 09:58:22 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2000 03:31:29 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Rama",
"S. Kalyana",
""
]
] | We consider (n + m + 1) dimensional bulk spacetime, containing flat (n + m - 1) dimensional parallel branes, with topology R^{n - 1} \times T^m. We assume that the graviton and an m-form field are the only bulk fields and that the m-form field has non vanishing components along the T^m directions only. We then find that the m-form field, with suitable bulk and brane potentials, can stabilise the radion modulus at the required value with no fine tuning. We find self tuning solutions also. |
0912.0539 | David Skinner | Mathew Bullimore, Lionel Mason and David Skinner | Twistor-Strings, Grassmannians and Leading Singularities | 50 pages, 20 figures. Section 2.5 extended, errors in 5.2 corrected,
new section 5.3 inserted, references added. In all, 5 new diagrams and 5
extra pages | JHEP 1003:070,2010 | 10.1007/JHEP03(2010)070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a systematic procedure for obtaining an explicit, L-loop leading
singularities of planar N=4 super Yang-Mills scattering amplitudes in twistor
space directly from their momentum space channel diagrams. The expressions are
given as integrals over the moduli of connected, nodal curves in twistor space
whose degree and genus matches expectations from twistor-string theory. We
propose that a twistor-string theory for pure N=4 super Yang-Mills, if it
exists, is determined by the condition that these leading singularity formulae
arise as residues when an unphysical contour for the path integral is used, by
analogy with the momentum space leading singularity conjecture. We go on to
show that the genus g twistor-string moduli space for g-loop N^{k-2}MHV
amplitudes may be mapped into the Grassmannian G(k,n). Restricting to a leading
singularity, the image of this map is a 2(n-2)-dimensional subcycle of G(k,n)
of exactly the type found from the Grassmannian residue formula of
Arkani-Hamed, Cachazo, Cheung and Kaplan. Based on this correspondence and the
Grassmannian conjecture, we deduce restrictions on the possible leading
singularities of multi-loop N^pMHV amplitudes. In particular, we argue that no
new leading singularities can arise beyond 3p loops.
| [
{
"created": "Thu, 3 Dec 2009 20:05:06 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2009 21:40:01 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Dec 2009 21:19:03 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Bullimore",
"Mathew",
""
],
[
"Mason",
"Lionel",
""
],
[
"Skinner",
"David",
""
]
] | We derive a systematic procedure for obtaining an explicit, L-loop leading singularities of planar N=4 super Yang-Mills scattering amplitudes in twistor space directly from their momentum space channel diagrams. The expressions are given as integrals over the moduli of connected, nodal curves in twistor space whose degree and genus matches expectations from twistor-string theory. We propose that a twistor-string theory for pure N=4 super Yang-Mills, if it exists, is determined by the condition that these leading singularity formulae arise as residues when an unphysical contour for the path integral is used, by analogy with the momentum space leading singularity conjecture. We go on to show that the genus g twistor-string moduli space for g-loop N^{k-2}MHV amplitudes may be mapped into the Grassmannian G(k,n). Restricting to a leading singularity, the image of this map is a 2(n-2)-dimensional subcycle of G(k,n) of exactly the type found from the Grassmannian residue formula of Arkani-Hamed, Cachazo, Cheung and Kaplan. Based on this correspondence and the Grassmannian conjecture, we deduce restrictions on the possible leading singularities of multi-loop N^pMHV amplitudes. In particular, we argue that no new leading singularities can arise beyond 3p loops. |
2210.02285 | Arthur Lipstein | Connor Armstrong, Arthur Lipstein, Jiajie Mei | Enhanced Soft Limits in de Sitter Space | v2. published in JHEP | null | 10.1007/JHEP12(2022)064 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In flat space, the scattering amplitudes of certain scalar effective field
theories exhibit enhanced soft limits due to the presence of hidden symmetries.
In this paper, we show that this phenomenon extends to wavefunction
coefficients in de Sitter space. Using a representation in terms of boundary
conformal generators acting on contact diagrams, we find that imposing enhanced
soft limits fixes the masses and four-point couplings (including curvature
corrections) in agreement with Lagrangians recently derived from hidden
symmetries. Higher-point couplings can then be fixed using a bootstrap
procedure which we illustrate at six points. We also discuss implications for
the double copy in de Sitter space.
| [
{
"created": "Wed, 5 Oct 2022 14:19:07 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2022 12:09:00 GMT",
"version": "v2"
}
] | 2022-12-15 | [
[
"Armstrong",
"Connor",
""
],
[
"Lipstein",
"Arthur",
""
],
[
"Mei",
"Jiajie",
""
]
] | In flat space, the scattering amplitudes of certain scalar effective field theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon extends to wavefunction coefficients in de Sitter space. Using a representation in terms of boundary conformal generators acting on contact diagrams, we find that imposing enhanced soft limits fixes the masses and four-point couplings (including curvature corrections) in agreement with Lagrangians recently derived from hidden symmetries. Higher-point couplings can then be fixed using a bootstrap procedure which we illustrate at six points. We also discuss implications for the double copy in de Sitter space. |
1512.00025 | Miguel Montero | Luis E. Ibanez, Miguel Montero, Angel Uranga, Irene Valenzuela | Relaxion Monodromy and the Weak Gravity Conjecture | 26 pages + appendices, 3 figures; v3: Corrected bounds on relaxion
parameter space | J. High Energ. Phys. (2016) 2016: 20 | 10.1007/JHEP04(2016)020 | IFT-UAM/CSIC-15-129, MPP-2015-281 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recently proposed relaxion models require extremely large trans-Planckian
axion excursions as well as a potential explicitly violating the axion shift
symmetry. The latter property is however inconsistent with the axion
periodicity, which corresponds to a gauged discrete shift symmetry. A way to
make things consistent is to use monodromy, i.e. both the axion and the
potential parameters transform under the discrete shift symmetry. The structure
is better described in terms of a 3-form field $C_{\mu \nu \rho}$ coupling to
the SM Higgs through its field strength $F_4$. The 4-form also couples linearly
to the relaxion, in the Kaloper-Sorbo fashion. The extremely small
relaxion-Higgs coupling arises in a see-saw fashion as $g\simeq F_4/f$, with
$f$ being the axion decay constant. We discuss constraints on this type of
constructions from membrane nucleation and the Weak Gravity Conjecture. The
latter requires the existence of membranes, whose too fast nucleation could in
principle drive the theory out of control, unless the cut-off scale is lowered.
This allows to constrain relaxion models on purely theoretical grounds. We also
discuss possible avenues to embed this structure into string theory.
| [
{
"created": "Mon, 30 Nov 2015 21:00:08 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2016 10:39:29 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jul 2016 09:40:51 GMT",
"version": "v3"
}
] | 2016-07-26 | [
[
"Ibanez",
"Luis E.",
""
],
[
"Montero",
"Miguel",
""
],
[
"Uranga",
"Angel",
""
],
[
"Valenzuela",
"Irene",
""
]
] | The recently proposed relaxion models require extremely large trans-Planckian axion excursions as well as a potential explicitly violating the axion shift symmetry. The latter property is however inconsistent with the axion periodicity, which corresponds to a gauged discrete shift symmetry. A way to make things consistent is to use monodromy, i.e. both the axion and the potential parameters transform under the discrete shift symmetry. The structure is better described in terms of a 3-form field $C_{\mu \nu \rho}$ coupling to the SM Higgs through its field strength $F_4$. The 4-form also couples linearly to the relaxion, in the Kaloper-Sorbo fashion. The extremely small relaxion-Higgs coupling arises in a see-saw fashion as $g\simeq F_4/f$, with $f$ being the axion decay constant. We discuss constraints on this type of constructions from membrane nucleation and the Weak Gravity Conjecture. The latter requires the existence of membranes, whose too fast nucleation could in principle drive the theory out of control, unless the cut-off scale is lowered. This allows to constrain relaxion models on purely theoretical grounds. We also discuss possible avenues to embed this structure into string theory. |
hep-th/9503110 | Daniel Cabra | D.C.Cabra and K.D.Rothe | Fermionic Coset Realization of Primaries in Critical Statistical Models | 26 pages, Latex file | Annals Phys. 251 (1996) 337-362 | 10.1006/aphy.1996.0116 | HD-THEP-95-6 | hep-th | null | We obtain a fermionic coset realization of the primaries of minimal unitary
models and show how their four-point functions may be calculated by the use of
a reduction formula. We illustrate the construction for the Ising model, where
we obtain an explicit realization of the energy operator, Onsager fermions, as
well as of the order and disorder operators realizing the dual algebra, in
terms of constrained Dirac fermions. The four-point correlators of these
operators are shown to agree with those obtained by other methods.
| [
{
"created": "Thu, 16 Mar 1995 14:19:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Cabra",
"D. C.",
""
],
[
"Rothe",
"K. D.",
""
]
] | We obtain a fermionic coset realization of the primaries of minimal unitary models and show how their four-point functions may be calculated by the use of a reduction formula. We illustrate the construction for the Ising model, where we obtain an explicit realization of the energy operator, Onsager fermions, as well as of the order and disorder operators realizing the dual algebra, in terms of constrained Dirac fermions. The four-point correlators of these operators are shown to agree with those obtained by other methods. |
hep-th/9911248 | Vladimir Nesterenko | L. Hadasz, G. Lambiase, and V. V. Nesterenko | Casimir energy of a non-uniform string | 11 pages, REVTeX, no figures and tables | Phys.Rev. D62 (2000) 025011 | 10.1103/PhysRevD.62.025011 | null | hep-th | null | The Casimir energy of a non-uniform string built up from two pieces with
different speed of sound is calculated. A standard procedure of subtracting the
energy of an infinite uniform string is applied, the subtraction being
interpreted as the renormalization of the string tension. It is shown that in
the case of a homogeneous string this method is completely equivalent to the
zeta renormalization.
| [
{
"created": "Tue, 30 Nov 1999 10:19:19 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hadasz",
"L.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Nesterenko",
"V. V.",
""
]
] | The Casimir energy of a non-uniform string built up from two pieces with different speed of sound is calculated. A standard procedure of subtracting the energy of an infinite uniform string is applied, the subtraction being interpreted as the renormalization of the string tension. It is shown that in the case of a homogeneous string this method is completely equivalent to the zeta renormalization. |
hep-th/0701045 | Khaled Qandalji | Khaled R. Qandalji (Amer Institute, Sweileh, JORDAN) | Restoration of Lorentz Invariance of 't Hooft-Polyakov Monopole Field | null | J.Phys.A40:13943-13953,2007 | 10.1088/1751-8113/40/46/008 | null | hep-th math-ph math.MP quant-ph | null | Lorentz invariance is broken for the non-Abelian monopoles. Here we will
consider the case of 't Hooft-Polyakov monopole and show that the Lorentz
invariance of its field will be restored using Dirac quantization.
| [
{
"created": "Fri, 5 Jan 2007 16:12:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Qandalji",
"Khaled R.",
"",
"Amer Institute, Sweileh, JORDAN"
]
] | Lorentz invariance is broken for the non-Abelian monopoles. Here we will consider the case of 't Hooft-Polyakov monopole and show that the Lorentz invariance of its field will be restored using Dirac quantization. |
2112.13816 | Luigi Guerrini | Luigi Guerrini, Silvia Penati, Itamar Yaakov | Generating functions for Higgs/Coulomb branch operators from 1d-3d
cohomological equivalence | 17 pages | null | 10.1007/JHEP04(2022)171 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a proof for the conjectured equality of the generating function of
integrated Higgs and Coulomb branch topological operators in 3d $\mathcal{N}\ge
4$ gauge theories and the three sphere partition function deformed by mass or
FI parameters. The equality is the result of cohomological equivalence and
applies to all theories in this class, including ABJM and other generalized
Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian.
| [
{
"created": "Mon, 27 Dec 2021 18:08:11 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Feb 2022 17:37:24 GMT",
"version": "v2"
}
] | 2022-05-18 | [
[
"Guerrini",
"Luigi",
""
],
[
"Penati",
"Silvia",
""
],
[
"Yaakov",
"Itamar",
""
]
] | We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d $\mathcal{N}\ge 4$ gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian. |
1003.5189 | Jens Hoppe | Jens Hoppe | Fundamental Structures of M(brane) Theory | null | Phys.Lett.B695:384-386,2011 | 10.1016/j.physletb.2010.11.038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A dynamical symmetry, as well as special diffeomorphism algebras generalizing
the Witt-Virasoro algebra, related to Poincar\'e-invariance and crucial with
regard to quantisation, questions of integrability, and M(atrix) theory, are
found to exist in the theory of relativistic extended objects of any dimension.
| [
{
"created": "Fri, 26 Mar 2010 17:08:08 GMT",
"version": "v1"
}
] | 2011-06-27 | [
[
"Hoppe",
"Jens",
""
]
] | A dynamical symmetry, as well as special diffeomorphism algebras generalizing the Witt-Virasoro algebra, related to Poincar\'e-invariance and crucial with regard to quantisation, questions of integrability, and M(atrix) theory, are found to exist in the theory of relativistic extended objects of any dimension. |
1009.1326 | Humberto Belich | H. Belich, G. S. Dias, J.A. Helay\"el-Neto, F.J.L. Leal, W. Spalenza | An Investigation of the $K_{F}$-type Lorentz-Symmetry Breaking Gauge
Models in $N=1$-Supersymmetric Scenario | 10 pages | null | 10.1103/PhysRevD.86.125037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we present two possible venues to accomodate the $K_{F}$-type
Lorentz-symmetry violating Electrodynamics in an $N=1$-supersymmetric
framework. A chiral and a vector superfield are chosen to describe the
background that signals Lorentz-symmetry breaking. In each case, the $\ K_{\mu
\nu \kappa \lambda }$-tensor is expressed in terms of the components of the
background superfield that we choose to describe the breaking. We also present
in detail the actions with all fermionic partners of the background that
determine $\ K_{\mu \nu \kappa \lambda }$.
| [
{
"created": "Tue, 7 Sep 2010 15:34:28 GMT",
"version": "v1"
}
] | 2016-08-14 | [
[
"Belich",
"H.",
""
],
[
"Dias",
"G. S.",
""
],
[
"Helayël-Neto",
"J. A.",
""
],
[
"Leal",
"F. J. L.",
""
],
[
"Spalenza",
"W.",
""
]
] | In this work, we present two possible venues to accomodate the $K_{F}$-type Lorentz-symmetry violating Electrodynamics in an $N=1$-supersymmetric framework. A chiral and a vector superfield are chosen to describe the background that signals Lorentz-symmetry breaking. In each case, the $\ K_{\mu \nu \kappa \lambda }$-tensor is expressed in terms of the components of the background superfield that we choose to describe the breaking. We also present in detail the actions with all fermionic partners of the background that determine $\ K_{\mu \nu \kappa \lambda }$. |
1009.6118 | Jason Doukas Dr | Jason Doukas | Exact constraints on D$\leq 10$ Myers Perry black holes and the Wald
Problem | 7 pages, 11 figures, version two corrects an earlier error in
equation (35) and adds some plots for cohomogeneity-2 and 3 black holes | Phys. Rev. D 84, 064046 (2011) | 10.1103/PhysRevD.84.064046 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exact relations on the existence of event horizons of Myers Perry black holes
are obtained in $D\leq 10$ dimensions. It is further shown that naked
singularities can not be produced by "spinning-up" these black holes by
shooting particles into their $\lfloor\frac{D-1}{2}\rfloor$ equatorial planes.
| [
{
"created": "Thu, 30 Sep 2010 13:05:09 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2011 12:29:56 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Doukas",
"Jason",
""
]
] | Exact relations on the existence of event horizons of Myers Perry black holes are obtained in $D\leq 10$ dimensions. It is further shown that naked singularities can not be produced by "spinning-up" these black holes by shooting particles into their $\lfloor\frac{D-1}{2}\rfloor$ equatorial planes. |
hep-th/9803095 | George Zoupanos | George Zoupanos | N=1 Finite Unified Theories - Predictions and Dualities | Latex, 8 pages; talk given at ``31st Internat. Symp. Ahrenshoop
Theory of Elementary Particles'' Buckow, Sept. 2-6, 97 | null | null | HUB-EP-98/19 | hep-th hep-ph | null | N = 1, all-loop Finite Unified Theories (FUTs) are very interesting not only
since they realize an old theoretical dream, but also due the remarkable
predictive power of particular models as well as for providing candidates that
might shed light in non-perturbative Physics.
Here we discuss (a) the recent developments concerning the soft supersymmetry
breaking (SSB) sector of these theories and the resulting predictions in very
interesting realistic models, and (b) the results of a recent search for duals
of N=1, all-loop FUTs.
| [
{
"created": "Wed, 11 Mar 1998 14:55:12 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Zoupanos",
"George",
""
]
] | N = 1, all-loop Finite Unified Theories (FUTs) are very interesting not only since they realize an old theoretical dream, but also due the remarkable predictive power of particular models as well as for providing candidates that might shed light in non-perturbative Physics. Here we discuss (a) the recent developments concerning the soft supersymmetry breaking (SSB) sector of these theories and the resulting predictions in very interesting realistic models, and (b) the results of a recent search for duals of N=1, all-loop FUTs. |
hep-th/0607192 | Roberto Casadio | Roberto Casadio, Mattia Luzzi | The Method of Comparison Equations for Schwarzschild Black Holes | 7 pages, added figures. Version to appear in PRD | Phys.Rev. D74 (2006) 085005 | 10.1103/PhysRevD.74.085005 | null | hep-th astro-ph gr-qc | null | We employ the method of comparison equations to study the propagation of a
massless minimally coupled scalar field on the Schwarzschild background. In
particular, we show that this method allows us to obtain explicit approximate
expressions for the radial modes with energy below the peak of the effective
potential which are fairly accurate over the whole region outside the horizon.
This case can be of particular interest, for example, for the problem of black
hole evaporation.
| [
{
"created": "Tue, 25 Jul 2006 13:19:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2006 14:51:14 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Casadio",
"Roberto",
""
],
[
"Luzzi",
"Mattia",
""
]
] | We employ the method of comparison equations to study the propagation of a massless minimally coupled scalar field on the Schwarzschild background. In particular, we show that this method allows us to obtain explicit approximate expressions for the radial modes with energy below the peak of the effective potential which are fairly accurate over the whole region outside the horizon. This case can be of particular interest, for example, for the problem of black hole evaporation. |
hep-th/0003254 | Thomas Reisz | Christoph Kopper (Ecole Polytechnique), Volkhard F. M\"uller (U.
Kaiserslautern), Thomas Reisz (U Heidelberg) | Temperature Independent Renormalization of Finite Temperature Field
Theory | 17 pages, typos and one footnote added, to appear in Ann.H.Poincare | Annales Henri Poincare 2 (2001) 387-402 | 10.1007/PL00001039 | null | hep-th hep-lat | null | We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in
the imaginary-time formalism. We present a rigorous proof that this quantum
field theory is renormalizable, to all orders of the loop expansion. Our main
point is to show that the counterterms can be chosen temperature independent,
so that the temperature flow of the relevant parameters as a function of $T$
can be followed. Our result confirms the experience from explicit calculations
to the leading orders. The proof is based on flow equations, i.e. on the
(perturbative) Wilson renormalization group. In fact we will show that the
difference between the theories at T>0 and at T=0 contains no relevant terms.
Contrary to BPHZ type formalisms our approach permits to lay hand on
renormalization conditions and counterterms at the same time, since both appear
as boundary terms of the renormalization group flow. This is crucial for the
proof.
| [
{
"created": "Tue, 28 Mar 2000 06:58:56 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2000 18:19:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kopper",
"Christoph",
"",
"Ecole Polytechnique"
],
[
"Müller",
"Volkhard F.",
"",
"U.\n Kaiserslautern"
],
[
"Reisz",
"Thomas",
"",
"U Heidelberg"
]
] | We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in the imaginary-time formalism. We present a rigorous proof that this quantum field theory is renormalizable, to all orders of the loop expansion. Our main point is to show that the counterterms can be chosen temperature independent, so that the temperature flow of the relevant parameters as a function of $T$ can be followed. Our result confirms the experience from explicit calculations to the leading orders. The proof is based on flow equations, i.e. on the (perturbative) Wilson renormalization group. In fact we will show that the difference between the theories at T>0 and at T=0 contains no relevant terms. Contrary to BPHZ type formalisms our approach permits to lay hand on renormalization conditions and counterterms at the same time, since both appear as boundary terms of the renormalization group flow. This is crucial for the proof. |
2312.14644 | Rishabh Jha | Jan C. Louw, Linda M. van Manen, Rishabh Jha | Thermodynamics and dynamics of coupled complex SYK models | 18 pages, 9 figures, 1 table | null | null | null | hep-th cond-mat.str-el quant-ph | http://creativecommons.org/licenses/by/4.0/ | It has been known that the large-$q$ complex SYK model falls under the same
universality class as that of van der Waals (mean-field) and saturates the
Maldacena-Shenker-Stanford bound, both features shared by various black holes.
This makes the SYK model a useful tool in probing the fundamental nature of
quantum chaos and holographic duality. This work establishes the robustness of
this shared universality class and chaotic properties for SYK-like models by
extending to a system of coupled large-$q$ complex SYK models of different
orders. We provide a detailed derivation of thermodynamic properties,
specifically the critical exponents for an observed phase transition, as well
as dynamical properties, in particular the Lyapunov exponent, via the
out-of-time correlator calculations. Our analysis reveals that, despite the
introduction of an additional scaling parameter through interaction strength
ratios, the system undergoes a continuous phase transition at low temperatures,
similar to that of the single SYK model. The critical exponents align with the
Landau-Ginzburg (mean-field) universality class, shared with van der Waals
gases and various AdS black holes. Furthermore, we demonstrate that the coupled
SYK system remains maximally chaotic in the large-$q$ limit at low
temperatures, adhering to the Maldacena-Shenker-Stanford bound, a feature
consistent with the single SYK model. These findings establish robustness and
open avenues for broader inquiries into the universality and chaos in complex
quantum systems. We provide a detailed outlook for future work by considering
the ``very" low-temperature regime, where we discuss relations with the
Hawking-Page phase transition observed in the holographic dual black holes. We
present preliminary calculations and discuss the possible follow-ups that might
be be taken to make the connection robust.
| [
{
"created": "Fri, 22 Dec 2023 12:26:42 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2024 17:09:42 GMT",
"version": "v2"
},
{
"created": "Tue, 14 May 2024 11:00:25 GMT",
"version": "v3"
}
] | 2024-05-15 | [
[
"Louw",
"Jan C.",
""
],
[
"van Manen",
"Linda M.",
""
],
[
"Jha",
"Rishabh",
""
]
] | It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes the SYK model a useful tool in probing the fundamental nature of quantum chaos and holographic duality. This work establishes the robustness of this shared universality class and chaotic properties for SYK-like models by extending to a system of coupled large-$q$ complex SYK models of different orders. We provide a detailed derivation of thermodynamic properties, specifically the critical exponents for an observed phase transition, as well as dynamical properties, in particular the Lyapunov exponent, via the out-of-time correlator calculations. Our analysis reveals that, despite the introduction of an additional scaling parameter through interaction strength ratios, the system undergoes a continuous phase transition at low temperatures, similar to that of the single SYK model. The critical exponents align with the Landau-Ginzburg (mean-field) universality class, shared with van der Waals gases and various AdS black holes. Furthermore, we demonstrate that the coupled SYK system remains maximally chaotic in the large-$q$ limit at low temperatures, adhering to the Maldacena-Shenker-Stanford bound, a feature consistent with the single SYK model. These findings establish robustness and open avenues for broader inquiries into the universality and chaos in complex quantum systems. We provide a detailed outlook for future work by considering the ``very" low-temperature regime, where we discuss relations with the Hawking-Page phase transition observed in the holographic dual black holes. We present preliminary calculations and discuss the possible follow-ups that might be be taken to make the connection robust. |
0807.0733 | A. Tureanu | M. Chaichian, M. Oksanen, A. Tureanu, G. Zet | Gauging the twisted Poincare symmetry as noncommutative theory of
gravitation | 21 pages | Phys.Rev.D79:044016,2009 | 10.1103/PhysRevD.79.044016 | HIP-2008-17/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Einstein's Theory of General Relativity was formulated as a gauge theory of
Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational
theory was formulated by Kibble in 1961 as the gauge theory of Poincare
transformations. In a noncommutative space-time with canonical commutation
relations between the coordintes, Lorentz symmetry is violated and field
theories constructed on such space-times have instead the so-called twisted
Poincare invariance. In this paper a gauge theory formulation of noncommutative
gravity is proposed based on the twisted Poincare symmetry together with the
requirement of covariance under the general coordinate transformations, an
essential ingredient of the theory of general relativity. The advantages of
such a formulation as well as the related problems are discussed and possible
ways out are outlined.
| [
{
"created": "Fri, 4 Jul 2008 11:53:19 GMT",
"version": "v1"
}
] | 2009-09-02 | [
[
"Chaichian",
"M.",
""
],
[
"Oksanen",
"M.",
""
],
[
"Tureanu",
"A.",
""
],
[
"Zet",
"G.",
""
]
] | Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Kibble in 1961 as the gauge theory of Poincare transformations. In a noncommutative space-time with canonical commutation relations between the coordintes, Lorentz symmetry is violated and field theories constructed on such space-times have instead the so-called twisted Poincare invariance. In this paper a gauge theory formulation of noncommutative gravity is proposed based on the twisted Poincare symmetry together with the requirement of covariance under the general coordinate transformations, an essential ingredient of the theory of general relativity. The advantages of such a formulation as well as the related problems are discussed and possible ways out are outlined. |
0812.2909 | Skenderis Kostas | Kostas Skenderis and Balt C. van Rees | Real-time gauge/gravity duality: Prescription, Renormalization and
Examples | 85 pages, 13 figures; v2: added comments and references | null | 10.1088/1126-6708/2009/05/085 | ITFA-2008-50 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a comprehensive analysis of the prescription we recently put
forward for the computation of real-time correlation functions using
gauge/gravity duality. The prescription is valid for any holographic
supergravity background and it naturally maps initial and final data in the
bulk to initial and final states or density matrices in the field theory. We
show in detail how the technique of holographic renormalization can be applied
in this setting and we provide numerous illustrative examples, including the
computation of time-ordered, Wightman and retarded 2-point functions in
Poincare and global coordinates, thermal correlators and higher-point
functions.
| [
{
"created": "Tue, 16 Dec 2008 19:32:58 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2009 17:18:31 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Skenderis",
"Kostas",
""
],
[
"van Rees",
"Balt C.",
""
]
] | We present a comprehensive analysis of the prescription we recently put forward for the computation of real-time correlation functions using gauge/gravity duality. The prescription is valid for any holographic supergravity background and it naturally maps initial and final data in the bulk to initial and final states or density matrices in the field theory. We show in detail how the technique of holographic renormalization can be applied in this setting and we provide numerous illustrative examples, including the computation of time-ordered, Wightman and retarded 2-point functions in Poincare and global coordinates, thermal correlators and higher-point functions. |
2111.01790 | Enoch Leung | Ibrahima Bah, Federico Bonetti, Enoch Leung, and Peter Weck | M5-branes Probing Flux Backgrounds | null | null | 10.1007/JHEP10(2022)122 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the global symmetries and anomalies of 4d $\mathcal{N} = 1$ field
theories that arise from a stack of $N$ M5-branes probing a class of flux
backgrounds. These backgrounds consist of a resolved $\mathbb{C}^2 /
\mathbb{Z}_k$ singularity fibered over a smooth Riemann surface of genus $g
\geq 2$, supported by a non-trivial $G_4$-flux configuration labeled by a
collection of $2(k-1)$ flux quanta, $\{N_i\}$. For $k=2$, this setup defines a
non-trivial superconformal field theory (SCFT) in the IR, which is
holographically dual to an explicit $AdS_5$ solution first described by
Gauntlett, Martelli, Sparks, and Waldram. The generalization to $k \geq 3$ is
hard to tackle directly within holography. Instead, in this paper we lay the
groundwork for a systematic analysis of such a generalization by adopting
anomaly inflow methods to identify continuous and discrete global symmetries of
the 4d field theories. We also compute the 't Hooft anomalies for continuous
symmetries at leading order in the limit of large $N$, $N_i$.
| [
{
"created": "Tue, 2 Nov 2021 17:59:59 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jan 2022 15:01:24 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Oct 2022 17:39:07 GMT",
"version": "v3"
}
] | 2022-11-09 | [
[
"Bah",
"Ibrahima",
""
],
[
"Bonetti",
"Federico",
""
],
[
"Leung",
"Enoch",
""
],
[
"Weck",
"Peter",
""
]
] | We analyze the global symmetries and anomalies of 4d $\mathcal{N} = 1$ field theories that arise from a stack of $N$ M5-branes probing a class of flux backgrounds. These backgrounds consist of a resolved $\mathbb{C}^2 / \mathbb{Z}_k$ singularity fibered over a smooth Riemann surface of genus $g \geq 2$, supported by a non-trivial $G_4$-flux configuration labeled by a collection of $2(k-1)$ flux quanta, $\{N_i\}$. For $k=2$, this setup defines a non-trivial superconformal field theory (SCFT) in the IR, which is holographically dual to an explicit $AdS_5$ solution first described by Gauntlett, Martelli, Sparks, and Waldram. The generalization to $k \geq 3$ is hard to tackle directly within holography. Instead, in this paper we lay the groundwork for a systematic analysis of such a generalization by adopting anomaly inflow methods to identify continuous and discrete global symmetries of the 4d field theories. We also compute the 't Hooft anomalies for continuous symmetries at leading order in the limit of large $N$, $N_i$. |
hep-th/0104052 | Jerzy Kijowski | J. Kijowski, G. Rudolph | On the Gauss Law and Global Charge for QCD | 16 pages | J.Math.Phys. 43 (2002) 1796-1808 | 10.1063/1.1447310 | null | hep-th | null | The local Gauss law of quantum chromodynamics on a finite lattice is
investigated. It is shown that it implies a gauge invariant, additive law
giving rise to a gauge invariant ${\mathbb Z}_3$-valued global charge in QCD.
The total charge contained in a region of the lattice is equal to the flux
through its boundary of a certain ${\mathbb Z}_3$-valued, additive quantity.
Implications for continuous QCD are discussed.
| [
{
"created": "Thu, 5 Apr 2001 16:20:45 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kijowski",
"J.",
""
],
[
"Rudolph",
"G.",
""
]
] | The local Gauss law of quantum chromodynamics on a finite lattice is investigated. It is shown that it implies a gauge invariant, additive law giving rise to a gauge invariant ${\mathbb Z}_3$-valued global charge in QCD. The total charge contained in a region of the lattice is equal to the flux through its boundary of a certain ${\mathbb Z}_3$-valued, additive quantity. Implications for continuous QCD are discussed. |
hep-th/9702085 | Jose Wudka | Javier P. Muniain and Jose Wudka | 3-Cocycles and the Operator Product Expansion | 17 pages. Plain LaTeX; Requires epsf. Updated references and a
cautionary note added | Phys.Rev.D55:5341-5348,1997 | 10.1103/PhysRevD.55.5341 | UCRHEP-T161 | hep-th | null | Anomalous contributions to the Jacobi identity of chromo-electric fields and
non-Abelian vector currents are calculated using a non-perturbative approach
that combines operator product expansion and a generalization of
Bjorken-Johnson-Low limit. The failure of the Jacobi identity and the
associated 3-cocycles are discussed.
| [
{
"created": "Mon, 10 Feb 1997 22:03:47 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 1997 01:22:58 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Muniain",
"Javier P.",
""
],
[
"Wudka",
"Jose",
""
]
] | Anomalous contributions to the Jacobi identity of chromo-electric fields and non-Abelian vector currents are calculated using a non-perturbative approach that combines operator product expansion and a generalization of Bjorken-Johnson-Low limit. The failure of the Jacobi identity and the associated 3-cocycles are discussed. |
0901.2540 | Frederik Denef | Frederik Denef, Mboyo Esole, Megha Padi | Orientiholes | null | JHEP 1003:045,2010 | 10.1007/JHEP03(2010)045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By T-dualizing space-filling D-branes in IIB orientifold compactifications
along the three non-internal spatial directions, we obtain black hole bound
states living in a universe with a gauged spatial reflection symmetry. We call
these objects orientiholes. The gravitational entropy of various IIA
orientihole configurations provides an "experimental" estimate of the number of
vacua in various sectors of the IIB landscape. Furthermore, basic physical
properties of orientiholes map to (sometimes subtle) microscopic features, thus
providing a useful alternative viewpoint on a number of issues arising in
D-brane model building. More generally, we give orientihole generalizations of
recently derived wall crossing formulae, and conjecture a relation to the
topological string analogous to the OSV conjecture, but with a linear rather
than a quadratic identification of partition functions.
| [
{
"created": "Fri, 16 Jan 2009 18:11:21 GMT",
"version": "v1"
}
] | 2010-03-19 | [
[
"Denef",
"Frederik",
""
],
[
"Esole",
"Mboyo",
""
],
[
"Padi",
"Megha",
""
]
] | By T-dualizing space-filling D-branes in IIB orientifold compactifications along the three non-internal spatial directions, we obtain black hole bound states living in a universe with a gauged spatial reflection symmetry. We call these objects orientiholes. The gravitational entropy of various IIA orientihole configurations provides an "experimental" estimate of the number of vacua in various sectors of the IIB landscape. Furthermore, basic physical properties of orientiholes map to (sometimes subtle) microscopic features, thus providing a useful alternative viewpoint on a number of issues arising in D-brane model building. More generally, we give orientihole generalizations of recently derived wall crossing formulae, and conjecture a relation to the topological string analogous to the OSV conjecture, but with a linear rather than a quadratic identification of partition functions. |
0908.4189 | Ho-Ung Yee | Ho-Ung Yee | Holographic Chiral Magnetic Conductivity | 30 pages, 10 figs. v2: references and acknowledgment updated, v3:
references added, v4: discussion on proper definition of currents added | null | 10.1088/1126-6708/2009/11/085 | IC/2009/066 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present holographic computations of the time-dependent chiral magnetic
conductivity in the framework of gauge/gravity correspondence. Chiral magnetic
effect is a phenomenon where an electromagnetic current parallel to an applied
magnetic field is induced in the presence of a finite axial chemical potential.
Motivated by a recent weak-coupling perturbative QCD calculation, our aim is to
provide a couple of complementary computations for strongly coupled regime
which might be relevant for strongly coupled RHIC plasma. We take two
prototypical holographic set-ups for computing chiral magnetic conductivity;
the first model is Einstein gravity with U(1)_L X U(1)_R Maxwell theory, and
our second set-up is based on the Sakai-Sugimoto model in a deconfined and
chiral symmetry restored phase. While the former takes into account full
back-reaction while the latter not, the common feature is an important role
played by the appropriate 5-dimensional Chern-Simons term corresponding to the
4-dimensional axial anomaly.
| [
{
"created": "Fri, 28 Aug 2009 13:41:53 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2009 09:58:11 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2009 12:05:36 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Nov 2009 13:13:35 GMT",
"version": "v4"
}
] | 2015-05-14 | [
[
"Yee",
"Ho-Ung",
""
]
] | We present holographic computations of the time-dependent chiral magnetic conductivity in the framework of gauge/gravity correspondence. Chiral magnetic effect is a phenomenon where an electromagnetic current parallel to an applied magnetic field is induced in the presence of a finite axial chemical potential. Motivated by a recent weak-coupling perturbative QCD calculation, our aim is to provide a couple of complementary computations for strongly coupled regime which might be relevant for strongly coupled RHIC plasma. We take two prototypical holographic set-ups for computing chiral magnetic conductivity; the first model is Einstein gravity with U(1)_L X U(1)_R Maxwell theory, and our second set-up is based on the Sakai-Sugimoto model in a deconfined and chiral symmetry restored phase. While the former takes into account full back-reaction while the latter not, the common feature is an important role played by the appropriate 5-dimensional Chern-Simons term corresponding to the 4-dimensional axial anomaly. |
1205.3107 | George Siopsis | Suman Ganguli, Jimmy A. Hutasoit, George Siopsis | Enhancement of Critical Temperature of a Striped Holographic
Superconductor | 8 pages, 7 figures | Phys. Rev. D 86, 125005 (2012) | 10.1103/PhysRevD.86.125005 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interplay between the stripe order and the superconducting order
in a strongly coupled striped superconductor using gauge/gravity duality. In
particular, we study the effects of inhomogeneity introduced by the stripe
order on the superconducting transition temperature beyond the mean field level
by including the effects of backreaction onto the spacetime geometry in the
dual gravitational picture. We find that inhomogeneity \emph{enhances} the
critical temperature relative to its value for the uniform system.
| [
{
"created": "Mon, 14 May 2012 17:15:44 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Ganguli",
"Suman",
""
],
[
"Hutasoit",
"Jimmy A.",
""
],
[
"Siopsis",
"George",
""
]
] | We study the interplay between the stripe order and the superconducting order in a strongly coupled striped superconductor using gauge/gravity duality. In particular, we study the effects of inhomogeneity introduced by the stripe order on the superconducting transition temperature beyond the mean field level by including the effects of backreaction onto the spacetime geometry in the dual gravitational picture. We find that inhomogeneity \emph{enhances} the critical temperature relative to its value for the uniform system. |
1909.04069 | Renann Jusinskas | Renann Lipinski Jusinskas | Chiral strings, the sectorized description and their integrated vertex
operators | 18 pages + appendix, 1 figure; v2: References added; V3: References
and small clarifications added, published version | JHEP12(2019)143 | 10.1007/JHEP12(2019)143 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A chiral string can be seen as an ordinary string in a singular gauge for the
worldsheet metric and has the ambitwistor string as its tensionless limit. As
proposed by Siegel, there is a one-parameter ($\beta$) gauge family
interpolating between the chiral limit and the usual conformal gauge in string
theory. This idea was used to compute scattering amplitudes of tensile chiral
strings, which are given by standard string amplitudes with modified
($\beta$-dependent) antiholomorphic propagators.
Due to the absence of a sensible definition of the integrated vertex
operator, there is still no ordinary prescription for higher than $3$-point
amplitude computations directly from the chiral model. The exception is the
tensionless limit.
In this work this gap will be filled. Starting with a chiral string action,
the integrated vertex operator is defined, relying on the so-called sectorized
interpretation. As it turns out, this construction effectively emulates a
left/right factorization of the scattering amplitude and introduces a relative
sign flip in the propagator for the sector-split target space coordinates.
$N$-point tree-level amplitudes can be easily shown to coincide with the
results of Siegel et al.
| [
{
"created": "Mon, 9 Sep 2019 18:02:11 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 2019 12:14:25 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Dec 2019 13:18:25 GMT",
"version": "v3"
}
] | 2019-12-20 | [
[
"Jusinskas",
"Renann Lipinski",
""
]
] | A chiral string can be seen as an ordinary string in a singular gauge for the worldsheet metric and has the ambitwistor string as its tensionless limit. As proposed by Siegel, there is a one-parameter ($\beta$) gauge family interpolating between the chiral limit and the usual conformal gauge in string theory. This idea was used to compute scattering amplitudes of tensile chiral strings, which are given by standard string amplitudes with modified ($\beta$-dependent) antiholomorphic propagators. Due to the absence of a sensible definition of the integrated vertex operator, there is still no ordinary prescription for higher than $3$-point amplitude computations directly from the chiral model. The exception is the tensionless limit. In this work this gap will be filled. Starting with a chiral string action, the integrated vertex operator is defined, relying on the so-called sectorized interpretation. As it turns out, this construction effectively emulates a left/right factorization of the scattering amplitude and introduces a relative sign flip in the propagator for the sector-split target space coordinates. $N$-point tree-level amplitudes can be easily shown to coincide with the results of Siegel et al. |
0710.1423 | Victor Red'kov | A.A. Bogush, V.V. Kisel, N.G. Tokarevskaya, V.M. Red'kov | Duffin-Kemmer-Petiau formalism reexamined: non-relativistic
approximation for spin 0 and spin 1 particles in a Riemannian space-time | 21 pages | Annales Fond.Broglie. 32:355-381,2007 | null | null | hep-th | null | It is shown that the generally covariant Duffin-Kemmer-Petiau equation,
formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism,
allows for a non-relativistic approximation if the metric tensor is of a
special form. The Pauli equation for a vector particle involves the Riemann
curvature tensor explicitly. In analogous way, the procedure of the
non-relativistic approximation in the theory of scalar particle, charged and
neutral, is investigated in the background of Riemannian space-time. A
generalized covariant Schrodinger equation is derived when taking into account
non-minimal interaction term through scalar curvature R(x), it substantially
differs from the conventional generally covariant Schrodinger equation produced
when R(x)=0. It is demonstrated that the the non-relativistic wave function is
always complex-valued irrespective of the type of relativistic scalar particle,
charged or neutral, taken initially. The theory of vector particle proves the
same property: even if the wave function of the relativistic particle of spin 1
is taken real,the corresponding wave function in the non-relativistic
approximation is complex-valued.
| [
{
"created": "Sun, 7 Oct 2007 14:32:25 GMT",
"version": "v1"
}
] | 2011-09-15 | [
[
"Bogush",
"A. A.",
""
],
[
"Kisel",
"V. V.",
""
],
[
"Tokarevskaya",
"N. G.",
""
],
[
"Red'kov",
"V. M.",
""
]
] | It is shown that the generally covariant Duffin-Kemmer-Petiau equation, formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism, allows for a non-relativistic approximation if the metric tensor is of a special form. The Pauli equation for a vector particle involves the Riemann curvature tensor explicitly. In analogous way, the procedure of the non-relativistic approximation in the theory of scalar particle, charged and neutral, is investigated in the background of Riemannian space-time. A generalized covariant Schrodinger equation is derived when taking into account non-minimal interaction term through scalar curvature R(x), it substantially differs from the conventional generally covariant Schrodinger equation produced when R(x)=0. It is demonstrated that the the non-relativistic wave function is always complex-valued irrespective of the type of relativistic scalar particle, charged or neutral, taken initially. The theory of vector particle proves the same property: even if the wave function of the relativistic particle of spin 1 is taken real,the corresponding wave function in the non-relativistic approximation is complex-valued. |
hep-th/9301039 | Edward Frenkel | Boris Feigin and Edward Frenkel | Coinvariants of nilpotent subalgebras of the Virasoro algebra and
partition identities | 9 pages, amslatex; for non-amslatex users the .dvi file is available
via anonymous ftp from math.harvard.edu/pub:coinv.dvi | Adv.Sov.Math. 16 (1993) 139-148 | null | null | hep-th | null | We prove that the dimensions of coinvariants of certain nilpotent subalgebras
of the Virasoro algebra do not change under deformation in the case of
irreducible representations of (2,2r+1) minimal models. We derive a
combinatorial description of these representations and the Gordon identities
from this result.
| [
{
"created": "Wed, 13 Jan 1993 04:50:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Feigin",
"Boris",
""
],
[
"Frenkel",
"Edward",
""
]
] | We prove that the dimensions of coinvariants of certain nilpotent subalgebras of the Virasoro algebra do not change under deformation in the case of irreducible representations of (2,2r+1) minimal models. We derive a combinatorial description of these representations and the Gordon identities from this result. |
1806.06077 | Alex May | Alex May and Eliot Hijano | The holographic entropy zoo | 29 pages, 3 figures | High Energ. Phys. (2018) 2018: 36 | 10.1007/JHEP10(2018)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic dual of a two parameter family of quantities known
as the $\alpha$-$z$ divergences. Many familiar information theoretic quantities
occur within this family, including the relative entropy, fidelity, and
collision relative entropy. We find explicit bulk expressions for the boundary
divergences to second order in a state perturbation whenever $\alpha$ is an
integer and $z\geq0$, as well as when $z\in\{0,\infty\}$ and $\alpha\in
\mathbb{R}$. Our results apply for perturbations around an arbitrary background
state and in any dimension, under the assumption of the equality of bulk and
boundary modular flows.
| [
{
"created": "Fri, 15 Jun 2018 18:00:10 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Sep 2018 23:26:02 GMT",
"version": "v2"
}
] | 2019-10-24 | [
[
"May",
"Alex",
""
],
[
"Hijano",
"Eliot",
""
]
] | We study the holographic dual of a two parameter family of quantities known as the $\alpha$-$z$ divergences. Many familiar information theoretic quantities occur within this family, including the relative entropy, fidelity, and collision relative entropy. We find explicit bulk expressions for the boundary divergences to second order in a state perturbation whenever $\alpha$ is an integer and $z\geq0$, as well as when $z\in\{0,\infty\}$ and $\alpha\in \mathbb{R}$. Our results apply for perturbations around an arbitrary background state and in any dimension, under the assumption of the equality of bulk and boundary modular flows. |
hep-th/9701071 | Ernest Baver | Ernest Baver | Local State Probabilities of Solvable Lattice Models: Relatives of
$A_{n}^{(1)}$ Family | 13 pages, Latex , 1 figure | null | null | WIS-97/4/Jan.-PH | hep-th | null | We present the results for the local state probabilities (LSP) of the
solvable lattice models, constructed around rational conformal field theory
given by WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$ together with primary
field $\phi_{1}$(symmetric tensor of degree 2). Some conjectures for the LSP
for some higher rank relatives of $A_{n}^{(1)}$ face models are also presented.
| [
{
"created": "Wed, 15 Jan 1997 13:35:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Baver",
"Ernest",
""
]
] | We present the results for the local state probabilities (LSP) of the solvable lattice models, constructed around rational conformal field theory given by WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$ together with primary field $\phi_{1}$(symmetric tensor of degree 2). Some conjectures for the LSP for some higher rank relatives of $A_{n}^{(1)}$ face models are also presented. |
2105.08755 | Guillermo Arias-Tamargo | Guillermo Arias-Tamargo, Antoine Bourget, Alessandro Pini | Discrete gauging and Hasse diagrams | null | SciPost Phys. 11, 026 (2021) | 10.21468/SciPostPhys.11.2.026 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We analyse the Higgs branch of 4d $\mathcal{N}=2$ SQCD gauge theories with
non-connected gauge groups $\widetilde{\mathrm{SU}}(N) = \mathrm{SU}(N)
\rtimes_{I,II} \mathbb{Z}_2$ whose study was initiated in arXiv:1804.01108. We
derive the Hasse diagrams corresponding to the Higgs mechanism using adapted
characters for representations of non-connected groups. We propose 3d
$\mathcal{N}=4$ magnetic quivers for the Higgs branches in the type $I$
discrete gauging case, in the form of recently introduced wreathed quivers, and
provide extensive checks by means of Coulomb branch Hilbert series
computations.
| [
{
"created": "Tue, 18 May 2021 18:13:53 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2021 14:16:50 GMT",
"version": "v2"
}
] | 2021-08-11 | [
[
"Arias-Tamargo",
"Guillermo",
""
],
[
"Bourget",
"Antoine",
""
],
[
"Pini",
"Alessandro",
""
]
] | We analyse the Higgs branch of 4d $\mathcal{N}=2$ SQCD gauge theories with non-connected gauge groups $\widetilde{\mathrm{SU}}(N) = \mathrm{SU}(N) \rtimes_{I,II} \mathbb{Z}_2$ whose study was initiated in arXiv:1804.01108. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d $\mathcal{N}=4$ magnetic quivers for the Higgs branches in the type $I$ discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations. |
1712.10235 | Romanczukiewicz Tomasz Ph.D. | Patrick Dorey and Tomasz Roma\'nczukiewicz | Resonant kink-antikink scattering through quasinormal modes | 7 pages 7 Figures | PLB 779, 117-123, 2018 | 10.1016/j.physletb.2018.02.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the role that quasinormal modes can play in kink-antikink
collisions, via an example based on a perturbation of the $\phi^4$ model. We
find that narrow quasinormal modes can store energy during collision processes
and return it back to the translational degrees of freedom. Quasinormal modes
also decay, which leads to energy leakage, causing a closing of resonance
windows and an increase of the critical velocity. We observe similar phenomena
in an effective model, a small modification of the collective-coordinate
approach to the $\phi^4$ model.
| [
{
"created": "Fri, 29 Dec 2017 14:04:57 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jan 2018 12:22:08 GMT",
"version": "v2"
}
] | 2018-02-15 | [
[
"Dorey",
"Patrick",
""
],
[
"Romańczukiewicz",
"Tomasz",
""
]
] | We investigate the role that quasinormal modes can play in kink-antikink collisions, via an example based on a perturbation of the $\phi^4$ model. We find that narrow quasinormal modes can store energy during collision processes and return it back to the translational degrees of freedom. Quasinormal modes also decay, which leads to energy leakage, causing a closing of resonance windows and an increase of the critical velocity. We observe similar phenomena in an effective model, a small modification of the collective-coordinate approach to the $\phi^4$ model. |
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