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/0502091 | Jon Shock | Nick Evans, Jon Shock, Tom Waterson | D7 Brane Embeddings and Chiral Symmetry Breaking | 30 pages, 9 figures | JHEP 0503 (2005) 005 | 10.1088/1126-6708/2005/03/005 | SHEP-05-05 | hep-th | null | We study the embedding of D7 brane probes in five geometries that are
deformations of AdS_5 x S^5. Each case corresponds to the inclusion of quark
fields in a dual gauge theory where we are interested in investigating whether
chiral symmetry breaking occurs. We use a supersymmetric geometry describing an
N=2 theory on its moduli space and a dilaton driven non-supersymmetric flow to
establish criteria for a chiral symmetry breaking embedding. We develop a
simple spherical D7 embedding that tests the repulsion of the core of the
geometry and signals dynamical symmetry breaking. We then use this tool in more
complicated geometries to show that an N=2* theory and a non-supersymmetric
theory with scalar masses do not induce a chiral condensate. Finally we provide
evidence that the Yang Mills* geometry does.
| [
{
"created": "Wed, 9 Feb 2005 10:21:57 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Evans",
"Nick",
""
],
[
"Shock",
"Jon",
""
],
[
"Waterson",
"Tom",
""
]
] | We study the embedding of D7 brane probes in five geometries that are deformations of AdS_5 x S^5. Each case corresponds to the inclusion of quark fields in a dual gauge theory where we are interested in investigating whether chiral symmetry breaking occurs. We use a supersymmetric geometry describing an N=2 theory on its moduli space and a dilaton driven non-supersymmetric flow to establish criteria for a chiral symmetry breaking embedding. We develop a simple spherical D7 embedding that tests the repulsion of the core of the geometry and signals dynamical symmetry breaking. We then use this tool in more complicated geometries to show that an N=2* theory and a non-supersymmetric theory with scalar masses do not induce a chiral condensate. Finally we provide evidence that the Yang Mills* geometry does. |
1109.3909 | Pallab Basu | Pallab Basu, Sumit R. Das | Quantum Quench across a Holographic Critical Point | 30 pages, 4 figures | null | 10.1007/JHEP01(2012)103 | UK/11-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the problem of quantum quench across a critical point in a strongly
coupled field theory using AdS/CFT techniques. The model involves a probe
neutral scalar field with mass-squared $m^2$ in the range $-9/4 < m^2 < -3/2$
in a $AdS_4$ charged black brane background. For a given brane background there
is a critical mass-squared, $m_c^2$ such that for $m^2 < m_c^2$ the scalar
field condenses. The theory is critical when $m^2 = m_c^2$ and the source for
the dual operator vanishes. At the critical point, the radial operator for the
bulk linearized problem has a zero mode. We study the dynamics of the order
parameter with a time dependent source $J(t)$, or a null-time dependent bulk
mass $m(u)$ across the critical point. We show that in the critical region the
dynamics for an initially slow variation is dominated by the zero mode : this
leads to an effective description in terms of a Landau-Ginsburg type dynamics
with a {\em linear} time derivative. Starting with an adiabatic initial
condition in the ordered phase, we find that the order parameter drops to zero
at a time $t_\star$ which is later than the time when $(m_c^2-m^2)$ or $J$ hits
zero. In the critical region, $t_\star$, and the departure of the order
parameter from its adiabatic value, scale with the rate of change, with
exponents determined by static critical behavior. Numerical results for the
order parameter are consistent with these expectations.
| [
{
"created": "Sun, 18 Sep 2011 20:24:28 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Basu",
"Pallab",
""
],
[
"Das",
"Sumit R.",
""
]
] | We study the problem of quantum quench across a critical point in a strongly coupled field theory using AdS/CFT techniques. The model involves a probe neutral scalar field with mass-squared $m^2$ in the range $-9/4 < m^2 < -3/2$ in a $AdS_4$ charged black brane background. For a given brane background there is a critical mass-squared, $m_c^2$ such that for $m^2 < m_c^2$ the scalar field condenses. The theory is critical when $m^2 = m_c^2$ and the source for the dual operator vanishes. At the critical point, the radial operator for the bulk linearized problem has a zero mode. We study the dynamics of the order parameter with a time dependent source $J(t)$, or a null-time dependent bulk mass $m(u)$ across the critical point. We show that in the critical region the dynamics for an initially slow variation is dominated by the zero mode : this leads to an effective description in terms of a Landau-Ginsburg type dynamics with a {\em linear} time derivative. Starting with an adiabatic initial condition in the ordered phase, we find that the order parameter drops to zero at a time $t_\star$ which is later than the time when $(m_c^2-m^2)$ or $J$ hits zero. In the critical region, $t_\star$, and the departure of the order parameter from its adiabatic value, scale with the rate of change, with exponents determined by static critical behavior. Numerical results for the order parameter are consistent with these expectations. |
hep-th/0409173 | Merab Gogberashvili Dr | Merab Gogberashvili | Octonionic Geometry | 11 pages, no figures | Adv.Appl.CliffordAlgebras15:55-66,2005 | 10.1007/s00006-005-0003-2 | null | hep-th gr-qc hep-ph | null | We extend vector formalism by including it in the algebra of split octonions,
which we treat as the universal algebra to describe physical signals. The new
geometrical interpretation of the products of octonionic basis units is
presented. Eight real parameters of octonions are interpreted as the space-time
coordinates, momentum and energy. In our approach the two fundamental
constants, $c$ and $\hbar$, have the geometrical meaning and appear from the
condition of positive definiteness of the octonion norm. We connect the
property of non-associativity with the time irreversibility and fundamental
probabilities in physics.
| [
{
"created": "Thu, 16 Sep 2004 17:08:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gogberashvili",
"Merab",
""
]
] | We extend vector formalism by including it in the algebra of split octonions, which we treat as the universal algebra to describe physical signals. The new geometrical interpretation of the products of octonionic basis units is presented. Eight real parameters of octonions are interpreted as the space-time coordinates, momentum and energy. In our approach the two fundamental constants, $c$ and $\hbar$, have the geometrical meaning and appear from the condition of positive definiteness of the octonion norm. We connect the property of non-associativity with the time irreversibility and fundamental probabilities in physics. |
0803.0455 | Bin Wang | Lihui Liu, Bin Wang | Stability of BTZ black strings | 9 pages, revised version to appear in Phys. Rev. D | Phys.Rev.D78:064001,2008 | 10.1103/PhysRevD.78.064001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamical stability of the BTZ black string against fermonic and
gravitational perturbations. The BTZ black string is not always stable against
these perturbations. There exist threshold values for $m^2$ related to the
compactification of the extra dimension for fermonic perturbation, scalar part
of the gravitational perturbation and the tensor perturbation, respectively.
Above the threshold values, perturbations are stable; while below these
thresholds, perturbations can be unstable. We find that this non-trivial
stability behavior qualitatively agrees with that predicted by a
thermodynamical argument, showing that the BTZ black string phase is not the
privileged stable phase.
| [
{
"created": "Tue, 4 Mar 2008 14:20:08 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2008 13:13:25 GMT",
"version": "v2"
}
] | 2009-02-20 | [
[
"Liu",
"Lihui",
""
],
[
"Wang",
"Bin",
""
]
] | We study the dynamical stability of the BTZ black string against fermonic and gravitational perturbations. The BTZ black string is not always stable against these perturbations. There exist threshold values for $m^2$ related to the compactification of the extra dimension for fermonic perturbation, scalar part of the gravitational perturbation and the tensor perturbation, respectively. Above the threshold values, perturbations are stable; while below these thresholds, perturbations can be unstable. We find that this non-trivial stability behavior qualitatively agrees with that predicted by a thermodynamical argument, showing that the BTZ black string phase is not the privileged stable phase. |
2001.11157 | Yu Nakayama | Yu Nakayama | On Duality in $\mathcal{N}=2$ supersymmetric Liouville Theory | 16 pages, dedicated to the memories of Prof. Tohru Eguchi, v2:
reference added | null | null | RUP-20-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Similarly to the bosonic Liouville theory, the $\mathcal{N}=2$ supersymmetric
Liouville theory was conjectured to be equipped with the duality that exchanges
the superpotential and the K\"ahler potential. The conjectured duality,
however, seems to suffer from a mismatch of the preserved symmetries. More than
fifteen years ago, when I was a student, my supervisor Tohru Eguchi gave a
beautiful resolution of the puzzle when the supersymmetry is enhanced to
$\mathcal{N}=4$ based on his insight into the underlying geometric structure of
the $A_1$ singularity. I will review his unpublished but insightful idea and
present our attempts to extend it to more general cases.
| [
{
"created": "Thu, 30 Jan 2020 02:45:57 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2020 07:23:34 GMT",
"version": "v2"
}
] | 2020-02-06 | [
[
"Nakayama",
"Yu",
""
]
] | Similarly to the bosonic Liouville theory, the $\mathcal{N}=2$ supersymmetric Liouville theory was conjectured to be equipped with the duality that exchanges the superpotential and the K\"ahler potential. The conjectured duality, however, seems to suffer from a mismatch of the preserved symmetries. More than fifteen years ago, when I was a student, my supervisor Tohru Eguchi gave a beautiful resolution of the puzzle when the supersymmetry is enhanced to $\mathcal{N}=4$ based on his insight into the underlying geometric structure of the $A_1$ singularity. I will review his unpublished but insightful idea and present our attempts to extend it to more general cases. |
hep-th/9911107 | Amitabha Lahiri | Amitabha Lahiri (S.N.Bose National Centre for Basic Sciences) | Renormalizability of the Dynamical Two-Form | revtex, 35p. additional discussion about the auxiliary vector field
and possible gauge choices, relevant to the question of validity of
perturbative expansion, version to be published in Phys.Rev.D | Phys.Rev. D63 (2001) 105002 | 10.1103/PhysRevD.63.105002 | SBNC-99-11-01 | hep-th hep-ph | null | A proof of renormalizability of the theory of the dynamical non-Abelian
two-form is given using the Zinn-Justin equation. Two previously unknown
symmetries of the quantum action, different from the BRST symmetry, are needed
for the proof. One of these is a gauge fermion dependent nilpotent symmetry,
while the other mixes different fields with the same transformation properties.
The BRST symmetry itself is extended to include a shift transformation by use
of an anticommuting constant. These three symmetries restrict the form of the
quantum action up to arbitrary order in perturbation theory. The results show
that it is possible to have a renormalizable theory of massive vector bosons in
four dimensions without a residual Higgs boson.
| [
{
"created": "Mon, 15 Nov 1999 09:20:47 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2000 09:30:13 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Mar 2001 11:39:00 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Lahiri",
"Amitabha",
"",
"S.N.Bose National Centre for Basic Sciences"
]
] | A proof of renormalizability of the theory of the dynamical non-Abelian two-form is given using the Zinn-Justin equation. Two previously unknown symmetries of the quantum action, different from the BRST symmetry, are needed for the proof. One of these is a gauge fermion dependent nilpotent symmetry, while the other mixes different fields with the same transformation properties. The BRST symmetry itself is extended to include a shift transformation by use of an anticommuting constant. These three symmetries restrict the form of the quantum action up to arbitrary order in perturbation theory. The results show that it is possible to have a renormalizable theory of massive vector bosons in four dimensions without a residual Higgs boson. |
hep-th/9404050 | Didina Serban | D. Bernard, V. Pasquier and D. Serban | Spinons in Conformal Field Theory | 18 pages | Nucl.Phys.B428:612-628,1994 | 10.1016/0550-3213(94)90366-2 | SPhT/94/039 | hep-th | null | We study the $su(2)$ conformal field theory in its spinon description,
adapted to the Yangian invariance. By evaluating the action of the Yangian
generators on the primary fields, we find a new connection between this
conformal field theory and the Calogero-Sutherland model with $su(2)$ spin. We
use this connection to describe how the spinons are the quasi-particles
spanning the irreducible Yangian multiplet, and also to exhibit operators
creating the $N$-spinon highest weight vectors.
| [
{
"created": "Fri, 8 Apr 1994 16:12:30 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bernard",
"D.",
""
],
[
"Pasquier",
"V.",
""
],
[
"Serban",
"D.",
""
]
] | We study the $su(2)$ conformal field theory in its spinon description, adapted to the Yangian invariance. By evaluating the action of the Yangian generators on the primary fields, we find a new connection between this conformal field theory and the Calogero-Sutherland model with $su(2)$ spin. We use this connection to describe how the spinons are the quasi-particles spanning the irreducible Yangian multiplet, and also to exhibit operators creating the $N$-spinon highest weight vectors. |
1204.5105 | Maximo Banados | M. Banados, R. Canto and S. Theisen | The action for higher spin black holes in three dimensions | Paper shortened and generalized. Main results unchanged. 25 pages,
Latex, no figures | null | 10.1007/JHEP07(2012)147 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of (2+1)--dimensional Chern-Simons SL(N,R)\times SL(N,R) gauge
fields and spin N black holes we compute the on-shell action and show that it
generates sensible and consistent thermodynamics. In particular, the
Chern-Simons action solves the integrability conditions recently considered in
the literature.
| [
{
"created": "Mon, 23 Apr 2012 16:46:57 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2012 21:27:42 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Banados",
"M.",
""
],
[
"Canto",
"R.",
""
],
[
"Theisen",
"S.",
""
]
] | In the context of (2+1)--dimensional Chern-Simons SL(N,R)\times SL(N,R) gauge fields and spin N black holes we compute the on-shell action and show that it generates sensible and consistent thermodynamics. In particular, the Chern-Simons action solves the integrability conditions recently considered in the literature. |
hep-th/0307211 | Mees de Roo | Mees de Roo and Martijn G.C. Eenink | The effective action for the 4-point functions in abelian open
superstring theory | 11 pages, 1 figure, v2: additional remarks in Section 5, added
references, v3: additional remarks in Section 4 and minor corrections | JHEP 0308 (2003) 036 | 10.1088/1126-6708/2003/08/036 | University of Groningen preprint UG-03/05 | hep-th | null | We construct the derivative corrections to the four-point vertices in the
abelian open string effective action to all orders in alpha'. The result is
based on the structure of the string four-point function. Supersymmnetry of
these vertices is guaranteed by the supersymmetry of the F^4 term in the
effective action. By this construction we establish the existence of an
infinite number of supersymmetry invariants, the number of invariants at order
alpha'^n grows linearly with n.
| [
{
"created": "Tue, 22 Jul 2003 11:28:18 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2003 14:54:10 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Aug 2003 11:22:18 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"de Roo",
"Mees",
""
],
[
"Eenink",
"Martijn G. C.",
""
]
] | We construct the derivative corrections to the four-point vertices in the abelian open string effective action to all orders in alpha'. The result is based on the structure of the string four-point function. Supersymmnetry of these vertices is guaranteed by the supersymmetry of the F^4 term in the effective action. By this construction we establish the existence of an infinite number of supersymmetry invariants, the number of invariants at order alpha'^n grows linearly with n. |
hep-th/0502216 | Vladimir Dzhunushaliev | Vladimir Dzhunushaliev | A non-associative quantum mechanics | one typo in Eq. (23) is corrected | Found.Phys.Lett. 19 (2006) 157-167 | 10.1007/s10702-006-0373-2 | null | hep-th hep-ph math.RA quant-ph | null | A non-associative quantum mechanics is proposed in which the product of three
and more operators can be non-associative one. The multiplication rules of the
octonions define the multiplication rules of the corresponding operators with
quantum corrections. The self-consistency of the operator algebra is proved for
the product of three operators. Some properties of the non-associative quantum
mechanics are considered. It is proposed that some generalization of the
non-associative algebra of quantum operators can be helpful for understanding
of the algebra of field operators with a strong interaction.
| [
{
"created": "Thu, 24 Feb 2005 04:09:33 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 2005 05:02:41 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jun 2005 08:06:55 GMT",
"version": "v3"
},
{
"created": "Sun, 23 Oct 2005 05:40:29 GMT",
"version": "v4"
},
{
"created": "Fri, 16 Dec 2005 03:55:21 GMT",
"version": "v5"
}
] | 2009-11-11 | [
[
"Dzhunushaliev",
"Vladimir",
""
]
] | A non-associative quantum mechanics is proposed in which the product of three and more operators can be non-associative one. The multiplication rules of the octonions define the multiplication rules of the corresponding operators with quantum corrections. The self-consistency of the operator algebra is proved for the product of three operators. Some properties of the non-associative quantum mechanics are considered. It is proposed that some generalization of the non-associative algebra of quantum operators can be helpful for understanding of the algebra of field operators with a strong interaction. |
1501.01975 | Vishnu Jejjala | Yang-Hui He, Vishnu Jejjala, Djordje Minic | From Veneziano to Riemann: A String Theory Statement of the Riemann
Hypothesis | 33 pages, LaTeX; v.2 minor edits | null | 10.1142/S0217751X16502018 | null | hep-th math-ph math.MP math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a precise relation between the Veneziano amplitude of string
theory, rewritten in terms of ratios of the Riemann zeta function, and two
elementary criteria for the Riemann hypothesis formulated in terms of integrals
of the logarithm and the argument of the zeta function. We also discuss how the
integral criterion based on the argument of the Riemann zeta function relates
to the Li criterion for the Riemann hypothesis. We provide a new generalization
of this integral criterion. Finally, we comment on the physical interpretation
of our recasting of the Riemann hypothesis in terms of the Veneziano amplitude.
| [
{
"created": "Thu, 8 Jan 2015 21:00:20 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Mar 2015 18:19:39 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Minic",
"Djordje",
""
]
] | We discuss a precise relation between the Veneziano amplitude of string theory, rewritten in terms of ratios of the Riemann zeta function, and two elementary criteria for the Riemann hypothesis formulated in terms of integrals of the logarithm and the argument of the zeta function. We also discuss how the integral criterion based on the argument of the Riemann zeta function relates to the Li criterion for the Riemann hypothesis. We provide a new generalization of this integral criterion. Finally, we comment on the physical interpretation of our recasting of the Riemann hypothesis in terms of the Veneziano amplitude. |
hep-th/9702110 | Stieberger Stephan | H.P. Nilles and S. Stieberger | String-Unification, Universal One-Loop Corrections and Strongly Coupled
Heterotic String Theory | 28 LaTex pages with 2 figs | Nucl.Phys. B499 (1997) 3-28 | 10.1016/S0550-3213(97)00315-5 | CERN-TH/97-18 and NEIP-009/96 | hep-th hep-ph | null | We derive the universal threshold corrections in heterotic string theory
including a continuous Wilson line. Unification of gauge and gravitational
couplings is shown to be possible even within perturbative string theory. The
relative importance of gauge group dependent and independent thresholds on
unification is clarified. Equipped with these results we can then attempt an
extrapolation to the strongly coupled heterotic string -- M-theory. We argue
that such an extrapolation might be meaningful because of the holomorphic
structure of the gauge coupling function and the close connection of the
threshold corrections to the anomaly cancelation mechanism.
| [
{
"created": "Thu, 13 Feb 1997 22:42:45 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 1997 03:50:35 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Nilles",
"H. P.",
""
],
[
"Stieberger",
"S.",
""
]
] | We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative importance of gauge group dependent and independent thresholds on unification is clarified. Equipped with these results we can then attempt an extrapolation to the strongly coupled heterotic string -- M-theory. We argue that such an extrapolation might be meaningful because of the holomorphic structure of the gauge coupling function and the close connection of the threshold corrections to the anomaly cancelation mechanism. |
hep-th/9606184 | Erich Poppitz | E. Poppitz, Y. Shadmi and S.P. Trivedi | Supersymmetry Breaking and Duality in SU(N)xSU(N-M) Theories | 12p., LaTeX; some typos corrected, version to appear in Phys. Lett.B | Phys.Lett. B388 (1996) 561-568 | 10.1016/S0370-2693(96)01192-6 | EFI-96-24, Fermilab-Pub-96/157-T | hep-th hep-ph | null | We consider a class of N=1 supersymmetric Yang-Mills theories, with gauge
group SU(N)xSU(N - M) and fundamental matter content. Duality plays an
essential role in analyzing the nonperturbative infrared dynamics of these
models. We find that Yukawa couplings drive these theories into the confining
phase, and show how the nonperturbative superpotentials arise in the dual
picture. We show that the odd-N, M = 2 models with an appropriate tree-level
superpotential break supersymmetry.
| [
{
"created": "Thu, 27 Jun 1996 23:26:21 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 1996 21:51:19 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Sep 1996 15:58:35 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Poppitz",
"E.",
""
],
[
"Shadmi",
"Y.",
""
],
[
"Trivedi",
"S. P.",
""
]
] | We consider a class of N=1 supersymmetric Yang-Mills theories, with gauge group SU(N)xSU(N - M) and fundamental matter content. Duality plays an essential role in analyzing the nonperturbative infrared dynamics of these models. We find that Yukawa couplings drive these theories into the confining phase, and show how the nonperturbative superpotentials arise in the dual picture. We show that the odd-N, M = 2 models with an appropriate tree-level superpotential break supersymmetry. |
1504.06555 | Michael Gutperle | Matteo Beccaria, Michael Gutperle, Yi Li and Guido Macorini | Higher Spin Lifshitz Theories and the KdV-Hierarchy | 40 pages, no figures | Phys. Rev. D 92, 085005 (2015) | 10.1103/PhysRevD.92.085005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper three dimensional higher spin theories in the Chern-Simons
formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz
symmetry with scaling exponent $z$. We show that an explicit map exists for all
$z$ and $N$ relating the Lifshitz Chern-Simons theory to the $(n,m)$ element of
the KdV hierarchy. Furthermore we show that the map and hence the conserved
charges are independent of $z$. We derive these result from the
Drinfeld-Sokolov formalism of integrable systems.
| [
{
"created": "Fri, 24 Apr 2015 16:10:32 GMT",
"version": "v1"
}
] | 2015-10-14 | [
[
"Beccaria",
"Matteo",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Li",
"Yi",
""
],
[
"Macorini",
"Guido",
""
]
] | In this paper three dimensional higher spin theories in the Chern-Simons formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz symmetry with scaling exponent $z$. We show that an explicit map exists for all $z$ and $N$ relating the Lifshitz Chern-Simons theory to the $(n,m)$ element of the KdV hierarchy. Furthermore we show that the map and hence the conserved charges are independent of $z$. We derive these result from the Drinfeld-Sokolov formalism of integrable systems. |
hep-th/0005275 | Piljin Yi | Mark Stern and Piljin Yi | Counting Yang-Mills Dyons with Index Theorems | 34 pages, 1 figure, LaTeX | Phys.Rev. D62 (2000) 125006 | 10.1103/PhysRevD.62.125006 | Duke-CGTP-00-06, KIAS-P00022 | hep-th math.DG | null | We count the supersymmetric bound states of many distinct BPS monopoles in
N=4 Yang-Mills theories and in pure N=2 Yang-Mills theories. The novelty here
is that we work in generic Coulombic vacua where more than one adjoint Higgs
fields are turned on. The number of purely magnetic bound states is again found
to be consistent with the electromagnetic duality of the N=4 SU(n) theory, as
expected. We also count dyons of generic electric charges, which correspond to
1/4 BPS dyons in N=4 theories and 1/2 BPS dyons in N=2 theories. Surprisingly,
the degeneracy of dyons is typically much larger than would be accounted for by
a single supermultiplet of appropriate angular momentum, implying many
supermutiplets of the same charge and the same mass.
| [
{
"created": "Tue, 30 May 2000 00:16:56 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Stern",
"Mark",
""
],
[
"Yi",
"Piljin",
""
]
] | We count the supersymmetric bound states of many distinct BPS monopoles in N=4 Yang-Mills theories and in pure N=2 Yang-Mills theories. The novelty here is that we work in generic Coulombic vacua where more than one adjoint Higgs fields are turned on. The number of purely magnetic bound states is again found to be consistent with the electromagnetic duality of the N=4 SU(n) theory, as expected. We also count dyons of generic electric charges, which correspond to 1/4 BPS dyons in N=4 theories and 1/2 BPS dyons in N=2 theories. Surprisingly, the degeneracy of dyons is typically much larger than would be accounted for by a single supermultiplet of appropriate angular momentum, implying many supermutiplets of the same charge and the same mass. |
hep-th/0111079 | Allan W. Adams | Allan Adams and Michal Fabinger (Stanford University and SLAC) | Deconstructing Noncommutativity with a Giant Fuzzy Moose | 22 pages, 3 figures, typos caught and refs added; expanded
interpretation of discrete torsion | JHEP 0204:006,2002 | 10.1088/1126-6708/2002/04/006 | SU-ITP 01/46 | hep-th | null | We argue that the worldvolume theories of D-branes probing orbifolds with
discrete torsion develop, in the large quiver limit, new non-commutative
directions. This provides an explicit `deconstruction' of a wide class of
noncommutative theories. This also provides insight into the physical meaning
of discrete torsion and its relation to the T-dual B field. We demonstrate that
the strict large quiver limit reproduces the matrix theory construction of
higher-dimensional D-branes, and argue that finite `fuzzy moose' theories
provide novel regularizations of non-commutative theories and explicit string
theory realizations of gauge theories on fuzzy tori. We also comment briefly on
the relation to NCOS, (2,0) and little string theories.
| [
{
"created": "Fri, 9 Nov 2001 20:20:10 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2001 00:58:42 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Adams",
"Allan",
"",
"Stanford University and SLAC"
],
[
"Fabinger",
"Michal",
"",
"Stanford University and SLAC"
]
] | We argue that the worldvolume theories of D-branes probing orbifolds with discrete torsion develop, in the large quiver limit, new non-commutative directions. This provides an explicit `deconstruction' of a wide class of noncommutative theories. This also provides insight into the physical meaning of discrete torsion and its relation to the T-dual B field. We demonstrate that the strict large quiver limit reproduces the matrix theory construction of higher-dimensional D-branes, and argue that finite `fuzzy moose' theories provide novel regularizations of non-commutative theories and explicit string theory realizations of gauge theories on fuzzy tori. We also comment briefly on the relation to NCOS, (2,0) and little string theories. |
1502.08005 | Rob Leigh | Laurent Freidel, Robert G. Leigh and Djordje Minic | Metastring Theory and Modular Space-time | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | String theory is canonically accompanied with a space-time interpretation
which determines S-matrix-like observables, and connects to the standard
physics at low energies in the guise of local effective field theory. Recently,
we have introduced a reformulation of string theory which does not rely on an
{\it a priori} space-time interpretation or a pre-assumption of locality. This
\hlt{metastring theory} is formulated in such a way that stringy symmetries
(such as T-duality) are realized linearly. In this paper, we study metastring
theory on a flat background and develop a variety of technical and
interpretational ideas. These include a formulation of the moduli space of
Lorentzian worldsheets, a careful study of the symplectic structure and
consequently consistent closed and open boundary conditions, and the string
spectrum and operator algebra. What emerges from these studies is a new quantum
notion of space-time that we refer to as a quantum Lagrangian or equivalently a
\hlt{modular space-time}. This concept embodies the standard tenets of quantum
theory and implements in a precise way a notion of {relative locality}. The
usual string backgrounds (non-compact space-time along with some toroidally
compactified spatial directions) are obtained from modular space-time by a
limiting procedure that can be thought of as a correspondence limit.
| [
{
"created": "Fri, 27 Feb 2015 18:53:16 GMT",
"version": "v1"
}
] | 2015-03-02 | [
[
"Freidel",
"Laurent",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] | String theory is canonically accompanied with a space-time interpretation which determines S-matrix-like observables, and connects to the standard physics at low energies in the guise of local effective field theory. Recently, we have introduced a reformulation of string theory which does not rely on an {\it a priori} space-time interpretation or a pre-assumption of locality. This \hlt{metastring theory} is formulated in such a way that stringy symmetries (such as T-duality) are realized linearly. In this paper, we study metastring theory on a flat background and develop a variety of technical and interpretational ideas. These include a formulation of the moduli space of Lorentzian worldsheets, a careful study of the symplectic structure and consequently consistent closed and open boundary conditions, and the string spectrum and operator algebra. What emerges from these studies is a new quantum notion of space-time that we refer to as a quantum Lagrangian or equivalently a \hlt{modular space-time}. This concept embodies the standard tenets of quantum theory and implements in a precise way a notion of {relative locality}. The usual string backgrounds (non-compact space-time along with some toroidally compactified spatial directions) are obtained from modular space-time by a limiting procedure that can be thought of as a correspondence limit. |
1706.05353 | Soo-Jong Rey | Kang-Sin Choi, Soo-Jong Rey | E(lementary) Strings in Six-Dimensional Heterotic F-Theory | 58 pages, 16 figures; v2. version to appear in JHEP | null | 10.1007/JHEP09(2017)092 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using E-strings, we can analyze not only six-dimensional superconformal field
theories but also probe vacua of non-perturabative heterotic string. We study
strings made of D3-branes wrapped on various two-cycles in the global F-theory
setup. We claim that E-strings are elementary in the sense that various
combinations of E-strings can form M-strings as well as heterotic strings and
new kind of strings, called G-strings. Using them, we show that emissions and
combinations of heterotic small instantons generate most of known
six-dimensional superconformal theories, their affinizations and little string
theories. Taking account of global structure of compact internal geometry, we
also show that special combinations of E-strings play an important role in
constructing six-dimensional theories of $D$- and $E$-types. We check global
consistency conditions from anomaly cancellation conditions, both from
five-branes and strings, and show that they are given in terms of elementary
E-string combinations.
| [
{
"created": "Fri, 16 Jun 2017 17:19:21 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Sep 2017 01:49:11 GMT",
"version": "v2"
}
] | 2017-10-25 | [
[
"Choi",
"Kang-Sin",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | Using E-strings, we can analyze not only six-dimensional superconformal field theories but also probe vacua of non-perturabative heterotic string. We study strings made of D3-branes wrapped on various two-cycles in the global F-theory setup. We claim that E-strings are elementary in the sense that various combinations of E-strings can form M-strings as well as heterotic strings and new kind of strings, called G-strings. Using them, we show that emissions and combinations of heterotic small instantons generate most of known six-dimensional superconformal theories, their affinizations and little string theories. Taking account of global structure of compact internal geometry, we also show that special combinations of E-strings play an important role in constructing six-dimensional theories of $D$- and $E$-types. We check global consistency conditions from anomaly cancellation conditions, both from five-branes and strings, and show that they are given in terms of elementary E-string combinations. |
1003.2199 | Dmitri Bykov | Dmitri Bykov | The worldsheet low-energy limit of the AdS_4 x CP^3 superstring | 41 pages | Nucl.Phys.B838:47-74,2010 | 10.1016/j.nuclphysb.2010.05.013 | TCDMATH 10-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the AdS_4 x CP^3 IIA superstring sigma-model in the background of
the "spinning string" classical solution, which possesses two Noether spins. In
the limit when one of the spins is infinite there are massless excitations,
which govern the infrared worldsheet properties of the model. We obtain a
sigma-model of CP^3 with fermions, which describes the dynamics of these
massless modes.
| [
{
"created": "Wed, 10 Mar 2010 20:53:03 GMT",
"version": "v1"
}
] | 2012-07-04 | [
[
"Bykov",
"Dmitri",
""
]
] | We consider the AdS_4 x CP^3 IIA superstring sigma-model in the background of the "spinning string" classical solution, which possesses two Noether spins. In the limit when one of the spins is infinite there are massless excitations, which govern the infrared worldsheet properties of the model. We obtain a sigma-model of CP^3 with fermions, which describes the dynamics of these massless modes. |
hep-th/9411215 | null | Janos Polonyi | Fixed points, saddle points and universality | presented at "Infrared Quantum Physics", Paris, June, 1994, 5 pg | null | null | null | hep-th | null | It is pointed out that the universality might seriously be violated by models
with several fixed points.
| [
{
"created": "Tue, 29 Nov 1994 13:16:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Polonyi",
"Janos",
""
]
] | It is pointed out that the universality might seriously be violated by models with several fixed points. |
1607.02095 | Jose Garc\'ia | J.D. Garc\'ia-Aguilar and A. P\'erez-Lorenzana | Implications of Lorentz symmetry violation on a 5D supersymmetric model | Some discussion and references added | null | 10.1142/S0217751X1750052X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Field models with $n$ extra spatial dimensions have a larger $SO(1,3+n)$
Lorentz symmetry which is broken down to the standard $SO(1,3)$ four
dimensional one by the compactification process. By considering Lorentz
violating operators in a $5D$ supersymmetric Wess-Zumino mo\-del, which
otherwise conserve the standard four dimensional Poincare invariance, we show
that supersymmetry can be restored upon a simple deformation of the
supersymmetric transformations. However, supersymmetry is not preserved in the
effective $4D$ theory that arises after compactification when the $5D$ Lorentz
violating operators do not preserve $Z_2: y\rightarrow -y$ bulk parity. Our
mechanism unveils a possible connection among Lorentz violation and the
Scherk-Schwarz mechanism. We also show that parity preserving models, on the
other hand, do provide well defined supersymmetric KK models.
| [
{
"created": "Thu, 7 Jul 2016 17:30:12 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2017 22:39:33 GMT",
"version": "v2"
}
] | 2020-11-25 | [
[
"García-Aguilar",
"J. D.",
""
],
[
"Pérez-Lorenzana",
"A.",
""
]
] | Field models with $n$ extra spatial dimensions have a larger $SO(1,3+n)$ Lorentz symmetry which is broken down to the standard $SO(1,3)$ four dimensional one by the compactification process. By considering Lorentz violating operators in a $5D$ supersymmetric Wess-Zumino mo\-del, which otherwise conserve the standard four dimensional Poincare invariance, we show that supersymmetry can be restored upon a simple deformation of the supersymmetric transformations. However, supersymmetry is not preserved in the effective $4D$ theory that arises after compactification when the $5D$ Lorentz violating operators do not preserve $Z_2: y\rightarrow -y$ bulk parity. Our mechanism unveils a possible connection among Lorentz violation and the Scherk-Schwarz mechanism. We also show that parity preserving models, on the other hand, do provide well defined supersymmetric KK models. |
1111.1749 | Nils Carqueville | Nils Carqueville, Michael M. Kay | An invitation to algebraic topological string theory | 10 pages, contribution to the String-Math 2011 proceedings | Proceedings of Symposia in Pure Mathematics 85 (2012) 323-332 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this note is to provide a short invitation to the universal
algebraic approach to topological string theory. In the first section we make
an attempt to explain the origin of this approach and how it fits into the
bigger picture of full string theory, while in the second half of this note we
will introduce the relevant notions in more detail and discuss some of our main
results on bulk-deformed open topological string amplitudes.
| [
{
"created": "Mon, 7 Nov 2011 21:16:00 GMT",
"version": "v1"
}
] | 2013-03-07 | [
[
"Carqueville",
"Nils",
""
],
[
"Kay",
"Michael M.",
""
]
] | The purpose of this note is to provide a short invitation to the universal algebraic approach to topological string theory. In the first section we make an attempt to explain the origin of this approach and how it fits into the bigger picture of full string theory, while in the second half of this note we will introduce the relevant notions in more detail and discuss some of our main results on bulk-deformed open topological string amplitudes. |
1211.3416 | Roberto Gobbetti | Guido D'Amico, Roberto Gobbetti, Matthew Kleban, Marjorie Schillo | Inflation from Flux Cascades | 5 pages, 1 figure | null | 10.1016/j.physletb.2013.07.050 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When electric-type flux threads compact extra dimensions, a quantum
nucleation event can break a flux line and initiate a cascade that unwinds many
units of flux. Here, we present a novel mechanism for inflation based on this
phenomenon. From the 4D point of view, the cascade begins with the formation of
a bubble containing an open Friedmann-Robertson-Walker cosmology, but the
vacuum energy inside the bubble is initially only slightly reduced, and
subsequently decreases gradually throughout the cascade. If the initial flux
number Q_0 ~ O(100), during the cascade the universe can undergo N ~ 60 efolds
of inflationary expansion with gradually decreasing Hubble constant, producing
a nearly scale-invariant spectrum of adiabatic density perturbations with
amplitude and tilt consistent with observation, and a potentially observable
level of non-Gaussianity and tensor modes. The power spectrum has a small
oscillatory component that does not decay away during inflation, with a period
set approximately by the light-crossing time of the compact dimension(s). Since
the ingredients are fluxes threading compact dimensions, this mechanism fits
naturally into the string landscape, but does not appear to suffer from the eta
problem or require fine-tuning (beyond the usual anthropic requirement of small
vacuum energy after reheating).
| [
{
"created": "Wed, 14 Nov 2012 21:00:01 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"D'Amico",
"Guido",
""
],
[
"Gobbetti",
"Roberto",
""
],
[
"Kleban",
"Matthew",
""
],
[
"Schillo",
"Marjorie",
""
]
] | When electric-type flux threads compact extra dimensions, a quantum nucleation event can break a flux line and initiate a cascade that unwinds many units of flux. Here, we present a novel mechanism for inflation based on this phenomenon. From the 4D point of view, the cascade begins with the formation of a bubble containing an open Friedmann-Robertson-Walker cosmology, but the vacuum energy inside the bubble is initially only slightly reduced, and subsequently decreases gradually throughout the cascade. If the initial flux number Q_0 ~ O(100), during the cascade the universe can undergo N ~ 60 efolds of inflationary expansion with gradually decreasing Hubble constant, producing a nearly scale-invariant spectrum of adiabatic density perturbations with amplitude and tilt consistent with observation, and a potentially observable level of non-Gaussianity and tensor modes. The power spectrum has a small oscillatory component that does not decay away during inflation, with a period set approximately by the light-crossing time of the compact dimension(s). Since the ingredients are fluxes threading compact dimensions, this mechanism fits naturally into the string landscape, but does not appear to suffer from the eta problem or require fine-tuning (beyond the usual anthropic requirement of small vacuum energy after reheating). |
1411.4236 | Michael Thies | Michael Thies | Semiclassical time crystal in the chiral Gross-Neveu model | 9 pages, 5 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the limit of a large number of flavors, the ground state of the chiral
Gross-Neveu model at finite fermion density exhibits a spatially periodic mean
field in the form of the chiral spiral, thereby breaking translational
invariance. Here we show that the ground state of the same model at finite
fermion current density gives rise to a mean field which is periodic in time, a
temporal chiral spiral. Since the current density is the same as axial charge
density in two dimensions and axial charge is conserved, this may serve as an
example of a time crystal. More specifically, as mean field theory is invoked
in the large N limit, we are dealing with a semiclassical time crystal.
| [
{
"created": "Sun, 16 Nov 2014 09:58:32 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Thies",
"Michael",
""
]
] | In the limit of a large number of flavors, the ground state of the chiral Gross-Neveu model at finite fermion density exhibits a spatially periodic mean field in the form of the chiral spiral, thereby breaking translational invariance. Here we show that the ground state of the same model at finite fermion current density gives rise to a mean field which is periodic in time, a temporal chiral spiral. Since the current density is the same as axial charge density in two dimensions and axial charge is conserved, this may serve as an example of a time crystal. More specifically, as mean field theory is invoked in the large N limit, we are dealing with a semiclassical time crystal. |
hep-th/0203203 | Alberto Zaffaroni | N. Evans, M. Petrini and A. Zaffaroni | The Gravity Dual of Softly Broken N=1 Super Yang-Mills | Latex, 12 pages; clarifications and references added | JHEP 0206 (2002) 004 | 10.1088/1126-6708/2002/06/004 | null | hep-th | null | Starting from the Maldacena-Nunez supergravity dual of N=1 super Yang-Mills
theory we study the inclusion of a supersymmetry breaking gaugino mass term. We
consider a class of non supersymmetric deformations of the MN solutions which
have been recently proposed in the literature. We show that they can be
interpreted as corresponding to the inclusion of both a mass and a condensate.
We calculate the vacuum energy of the supergravity solutions showing that the
N-fold vacuum degeneracy of the N=1 theory is lifted by the inclusion of a mass
term.
| [
{
"created": "Thu, 21 Mar 2002 14:47:48 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2002 17:15:21 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Evans",
"N.",
""
],
[
"Petrini",
"M.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | Starting from the Maldacena-Nunez supergravity dual of N=1 super Yang-Mills theory we study the inclusion of a supersymmetry breaking gaugino mass term. We consider a class of non supersymmetric deformations of the MN solutions which have been recently proposed in the literature. We show that they can be interpreted as corresponding to the inclusion of both a mass and a condensate. We calculate the vacuum energy of the supergravity solutions showing that the N-fold vacuum degeneracy of the N=1 theory is lifted by the inclusion of a mass term. |
2312.12081 | Miguel Vazquez-Mozo | Manuel Valle, Miguel A. Vazquez-Mozo | Torsional Constitutive Relations at Finite Temperature | 28 pages, no figures. v2: minor changes, typos corrected, and
references added. It matches the version to be published in Journal of High
Energy Physics | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | The general form of the linear torsional constitutive relations at finite
temperature of the chiral current, energy-momentum tensor, and spin energy
potential are computed for a chiral fermion fluid minimally coupled to
geometric torsion and with nonzero chiral chemical potential. The corresponding
transport coefficients are explicitly calculated in terms of the energy and
number densities evaluated at vanishing torsion. A microscopic calculation of
these constitutive relations in some particular backgrounds is also presented,
confirming the general structure found.
| [
{
"created": "Tue, 19 Dec 2023 11:58:33 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Feb 2024 09:57:29 GMT",
"version": "v2"
}
] | 2024-02-09 | [
[
"Valle",
"Manuel",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] | The general form of the linear torsional constitutive relations at finite temperature of the chiral current, energy-momentum tensor, and spin energy potential are computed for a chiral fermion fluid minimally coupled to geometric torsion and with nonzero chiral chemical potential. The corresponding transport coefficients are explicitly calculated in terms of the energy and number densities evaluated at vanishing torsion. A microscopic calculation of these constitutive relations in some particular backgrounds is also presented, confirming the general structure found. |
1708.07907 | Lara Anderson | Lara B. Anderson, Xin Gao, James Gray, and Seung-Joo Lee | Fibrations in CICY Threefolds | 54 pages, 4 tables, 4 figures | null | 10.1007/JHEP10(2017)077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we systematically enumerate genus one fibrations in the class of
7,890 Calabi-Yau manifolds defined as complete intersections in products of
projective spaces, the so-called CICY threefolds. This survey is independent of
the description of the manifolds and improves upon past approaches that probed
only a particular algebraic form of the threefolds (i.e. searches for "obvious"
genus one fibrations as in [1,2]). We also study K3-fibrations and nested
fibration structures. That is, K3 fibrations with potentially many distinct
elliptic fibrations. To accomplish this survey a number of new geometric tools
are developed including a determination of the full topology of all CICY
threefolds, including triple intersection numbers. In 2,946 cases this involves
finding a new "favorable" description of the manifold in which all divisors
descend from a simple ambient space. Our results consist of a survey of obvious
fibrations for all CICY threefolds and a complete classification of all genus
one fibrations for 4,957 "Kahler favorable" CICYs whose Kahler cones descend
from a simple ambient space. Within the CICY dataset, we find 139,597 obvious
genus one fibrations, 30,974 obvious K3 fibrations and 208,987 nested
combinations. For the Kahler favorable geometries we find a complete
classification of 377,559 genus one fibrations. For one manifold with Hodge
numbers (19,19) we find an explicit description of an infinite number of
distinct genus-one fibrations extending previous results for this particular
geometry that have appeared in the literature. The data associated to this scan
is available at http://www1.phys.vt.edu/cicydata .
| [
{
"created": "Fri, 25 Aug 2017 22:40:22 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gao",
"Xin",
""
],
[
"Gray",
"James",
""
],
[
"Lee",
"Seung-Joo",
""
]
] | In this work we systematically enumerate genus one fibrations in the class of 7,890 Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the so-called CICY threefolds. This survey is independent of the description of the manifolds and improves upon past approaches that probed only a particular algebraic form of the threefolds (i.e. searches for "obvious" genus one fibrations as in [1,2]). We also study K3-fibrations and nested fibration structures. That is, K3 fibrations with potentially many distinct elliptic fibrations. To accomplish this survey a number of new geometric tools are developed including a determination of the full topology of all CICY threefolds, including triple intersection numbers. In 2,946 cases this involves finding a new "favorable" description of the manifold in which all divisors descend from a simple ambient space. Our results consist of a survey of obvious fibrations for all CICY threefolds and a complete classification of all genus one fibrations for 4,957 "Kahler favorable" CICYs whose Kahler cones descend from a simple ambient space. Within the CICY dataset, we find 139,597 obvious genus one fibrations, 30,974 obvious K3 fibrations and 208,987 nested combinations. For the Kahler favorable geometries we find a complete classification of 377,559 genus one fibrations. For one manifold with Hodge numbers (19,19) we find an explicit description of an infinite number of distinct genus-one fibrations extending previous results for this particular geometry that have appeared in the literature. The data associated to this scan is available at http://www1.phys.vt.edu/cicydata . |
hep-th/9703049 | Jose Francisco Morales Morera | Jose F. Morales and Marco Serone | BPS states and supersymmetric index in N=2 type I string vacua | LaTex file, 26 pages, no figures, references added and typographical
errors corrected | Nucl.Phys. B501 (1997) 427-444 | 10.1016/S0550-3213(97)00380-5 | SISSA-29/97/EP | hep-th | null | We study the moduli dependence of a class of couplings in $K3\times T^2$
compactifications of type I string theory, for which one-loop amplitudes can be
written in terms of an N=2 supersymmetric index. This index is determined for
generic models as a function of the BPS spectrum. As an application we compute
the one-loop moduli dependence of the $F_g W^{2g}$ couplings, where W is the
N=2 gravitational superfield, for type I compactifications based on the
Gimon-Johnson K3 orientifolds, showing explicitly their dependence on the
aforementioned index.
| [
{
"created": "Thu, 6 Mar 1997 16:34:46 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Mar 1997 14:42:38 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Morales",
"Jose F.",
""
],
[
"Serone",
"Marco",
""
]
] | We study the moduli dependence of a class of couplings in $K3\times T^2$ compactifications of type I string theory, for which one-loop amplitudes can be written in terms of an N=2 supersymmetric index. This index is determined for generic models as a function of the BPS spectrum. As an application we compute the one-loop moduli dependence of the $F_g W^{2g}$ couplings, where W is the N=2 gravitational superfield, for type I compactifications based on the Gimon-Johnson K3 orientifolds, showing explicitly their dependence on the aforementioned index. |
hep-th/0109166 | Arkady A. Popov | Arkadii A. Popov | Stress-energy of a quantized scalar field in static wormhole spacetimes | 21 pages, revtex | Phys.Rev. D64 (2001) 104005 | 10.1103/PhysRevD.64.104005 | KSPU-01-02 | hep-th | null | An analytical approximation of $<T_{\mu\nu}>$ for a quantized scalar field in
a static spherically symmetric spacetime with a topology $S^2 \times R^2$ is
obtained. The gravitational background is assumed slowly varying. The scalar
field is assumed to be both massive and massless, with an arbitrary coupling
$\xi$ to the scalar curvature and in a zero temperature vacuum state. It is
demonstrated that for some values of curvature coupling the stress-energy has
the properties needed to support the wormhole geometry.
| [
{
"created": "Thu, 20 Sep 2001 20:30:16 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Popov",
"Arkadii A.",
""
]
] | An analytical approximation of $<T_{\mu\nu}>$ for a quantized scalar field in a static spherically symmetric spacetime with a topology $S^2 \times R^2$ is obtained. The gravitational background is assumed slowly varying. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature and in a zero temperature vacuum state. It is demonstrated that for some values of curvature coupling the stress-energy has the properties needed to support the wormhole geometry. |
hep-th/0405204 | Trevor Searight | T. P. Searight | On Degenerate Metrics and Electromagnetism | The published article is available on the GRG server at
http://www.wkap.nl/journal | Gen.Rel.Grav.35:791-805,2003 | 10.1023/A:1022991003322 | null | hep-th | null | A theory of degenerate metrics is developed and applied to the problem of
unifying gravitation with electromagnetism. The approach is similar to the
Kaluza-Klein approach with a fifth dimension, however no ad hoc conditions are
needed to explain why the extra dimension is not directly observable under
everyday conditions. Maxwell's theory is recovered with differences only at
very small length scales, and a new formula is found for the Coulomb potential
that is regular everywhere.
| [
{
"created": "Mon, 24 May 2004 11:25:44 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Searight",
"T. P.",
""
]
] | A theory of degenerate metrics is developed and applied to the problem of unifying gravitation with electromagnetism. The approach is similar to the Kaluza-Klein approach with a fifth dimension, however no ad hoc conditions are needed to explain why the extra dimension is not directly observable under everyday conditions. Maxwell's theory is recovered with differences only at very small length scales, and a new formula is found for the Coulomb potential that is regular everywhere. |
0712.2703 | Hideo Kodama | Hideo Kodama | Perturbations and Stability of Higher-Dimensional Black Holes | 45 pages, 9 figures. Based on the lecture given at the 4th Aegean
Summer School. References added and typos corrected | Lect.Notes Phys.769:427-470,2009 | 10.1007/978-3-540-88460-6_11 | null | hep-th gr-qc | null | In this lecture, I explain the gauge-invariant formulation for perturbations
of background spacetimes with untwisted homologous Einstein fibres, which
include lots of practically important spacetimes such as static black holes,
static black branes and rotating black holes in various dimensions. As
applications, we discuss the stability of static black holes in higher
dimensions and flat black branes.
| [
{
"created": "Mon, 17 Dec 2007 12:20:28 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jan 2008 19:48:22 GMT",
"version": "v2"
}
] | 2009-01-28 | [
[
"Kodama",
"Hideo",
""
]
] | In this lecture, I explain the gauge-invariant formulation for perturbations of background spacetimes with untwisted homologous Einstein fibres, which include lots of practically important spacetimes such as static black holes, static black branes and rotating black holes in various dimensions. As applications, we discuss the stability of static black holes in higher dimensions and flat black branes. |
hep-th/0703107 | Om Prakash Singh Negi | Jivan Singh, P. S. Bisht and O. P. S. Negi | Quaternion Analyticity of Time-Harmonic Dyon Field Equations | null | null | null | null | hep-th | null | Quaternion analysis of time dependent Maxwell's equations in presence of
electric and magnetic charges has been developed in unique, simple and
consistent manner. It has been shown that this theory is extended consistently
to time-harmonic Maxwell's equation for dyons.
| [
{
"created": "Sun, 11 Mar 2007 17:00:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Singh",
"Jivan",
""
],
[
"Bisht",
"P. S.",
""
],
[
"Negi",
"O. P. S.",
""
]
] | Quaternion analysis of time dependent Maxwell's equations in presence of electric and magnetic charges has been developed in unique, simple and consistent manner. It has been shown that this theory is extended consistently to time-harmonic Maxwell's equation for dyons. |
hep-th/0103182 | Alexei Nurmagambetov | Alexei Nurmagambetov | Global Space-time Symmetries Gauging and Kaluza-Klein Dimensional
Reduction | LaTeX2e file, espcrc2.sty, 8 pages. Based on talk given at the D. V.
Volkov Memorial Conference "Supersymmetry and Quantum Field Theory" (25-29
July, 2000, Kharkov, Ukraine). To be published in Nuclear Physics B
Conference Supplements | Nucl.Phys.Proc.Suppl.102:176-183,2001 | 10.1016/S0920-5632(01)01554-7 | null | hep-th | null | A relation between dimensional reduction and space-time symmetry gauging is
outlined.
| [
{
"created": "Wed, 21 Mar 2001 21:25:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nurmagambetov",
"Alexei",
""
]
] | A relation between dimensional reduction and space-time symmetry gauging is outlined. |
1404.3892 | Nejat Yilmaz | Nejat Tevfik Yilmaz | Effective Fluid FLRW Cosmologies of Minimal Massive Gravity | 13 pages | Mod. Phys. Lett. A, Vol. 30, No. 18 (2015) 1550087 | 10.1142/S021773231550087X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using a solution ansatz we partially decouple the metric and the
Stuckelberg sectors of the minimal massive gravity (MMGR). In this scheme for a
diagonal physical metric we find the general solutions for the scalars of the
theory and the particular fiducial (background) metric which leads to these
solutions. Then we adopt this general formalism to construct the derivation of
new Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmologies of the theory in the
presence of a so-called effective ideal fluid which arises from our solution
ansatz as a modifying, non-physical source for the Einstein and the
corresponding Friedmann equations.
| [
{
"created": "Tue, 15 Apr 2014 12:42:56 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Apr 2014 21:55:42 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Sep 2014 14:10:37 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Apr 2015 12:25:17 GMT",
"version": "v4"
}
] | 2015-05-19 | [
[
"Yilmaz",
"Nejat Tevfik",
""
]
] | By using a solution ansatz we partially decouple the metric and the Stuckelberg sectors of the minimal massive gravity (MMGR). In this scheme for a diagonal physical metric we find the general solutions for the scalars of the theory and the particular fiducial (background) metric which leads to these solutions. Then we adopt this general formalism to construct the derivation of new Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmologies of the theory in the presence of a so-called effective ideal fluid which arises from our solution ansatz as a modifying, non-physical source for the Einstein and the corresponding Friedmann equations. |
1705.01953 | Joao Miguel Vieira Gomes | Joao Gomes | Quantum Black Hole Entropy, Localization and the Stringy Exclusion
Principle | 66 pages | null | 10.1007/JHEP09(2018)132 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric localization has lead to remarkable progress in computing
quantum corrections to BPS black hole entropy. The program has been successful
especially for computing perturbative corrections to the Bekenstein-Hawking
area formula. In this work, we consider non-perturbative corrections related to
polar states in the Rademacher expansion, which describes the entropy in the
microcanonical ensemble. We propose that these non-perturbative effects can be
identified with a new family of saddles in the localization of the quantum
entropy path integral. We argue that these saddles, which are euclidean
$AdS_2\times S^1\times S^2$ geometries, arise after turning on singular fluxes
in M-theory on a Calabi-Yau. They cease to exist after a certain amount of
flux, resulting in a finite number of geometries; the bound on that number is
in precise agreement with the stringy exclusion principle. Localization of
supergravity on these backgrounds gives rise to a finite tail of Bessel
functions in agreement with the Rademacher expansion. As a check of our
proposal, we test our results against well-known microscopic formulas for
one-eighth and one-quarter BPS black holes in $\mathcal{N}=8$ and
$\mathcal{N}=4$ string theory respectively, finding agreement. Our method
breaks down precisely when mock-modular effects are expected in the entropy of
one-quarter BPS dyons and we comment upon this. Furthermore, we mention
possible applications of these results, including an exact formula for the
entropy of four dimensional $\mathcal{N}=2$ black holes.
| [
{
"created": "Thu, 4 May 2017 18:00:29 GMT",
"version": "v1"
}
] | 2018-10-17 | [
[
"Gomes",
"Joao",
""
]
] | Supersymmetric localization has lead to remarkable progress in computing quantum corrections to BPS black hole entropy. The program has been successful especially for computing perturbative corrections to the Bekenstein-Hawking area formula. In this work, we consider non-perturbative corrections related to polar states in the Rademacher expansion, which describes the entropy in the microcanonical ensemble. We propose that these non-perturbative effects can be identified with a new family of saddles in the localization of the quantum entropy path integral. We argue that these saddles, which are euclidean $AdS_2\times S^1\times S^2$ geometries, arise after turning on singular fluxes in M-theory on a Calabi-Yau. They cease to exist after a certain amount of flux, resulting in a finite number of geometries; the bound on that number is in precise agreement with the stringy exclusion principle. Localization of supergravity on these backgrounds gives rise to a finite tail of Bessel functions in agreement with the Rademacher expansion. As a check of our proposal, we test our results against well-known microscopic formulas for one-eighth and one-quarter BPS black holes in $\mathcal{N}=8$ and $\mathcal{N}=4$ string theory respectively, finding agreement. Our method breaks down precisely when mock-modular effects are expected in the entropy of one-quarter BPS dyons and we comment upon this. Furthermore, we mention possible applications of these results, including an exact formula for the entropy of four dimensional $\mathcal{N}=2$ black holes. |
1405.0394 | Patricio Salgado-Rebolledo | Fabrizio Canfora, Fiorenza de Micheli, Patricio Salgado-Rebolledo,
Jorge Zanelli | Gribov ambiguity and degenerate systems | 26 pages, 6 figures. Comments and references added | Phys. Rev. D 90, 044065 (2014) | 10.1103/PhysRevD.90.044065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relation between Gribov ambiguity and degeneracies in the symplectic
structure of physical systems is analyzed. It is shown that, in
finite-dimensional systems, the presence of Gribov ambiguities in regular
constrained systems (those where the constraints are functionally independent)
always leads to a degenerate symplectic structure upon Dirac reduction. The
implications for the Gribov-Zwanziger approach to QCD are discussed.
| [
{
"created": "Fri, 2 May 2014 13:13:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2014 12:17:03 GMT",
"version": "v2"
}
] | 2014-09-05 | [
[
"Canfora",
"Fabrizio",
""
],
[
"de Micheli",
"Fiorenza",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
],
[
"Zanelli",
"Jorge",
""
]
] | The relation between Gribov ambiguity and degeneracies in the symplectic structure of physical systems is analyzed. It is shown that, in finite-dimensional systems, the presence of Gribov ambiguities in regular constrained systems (those where the constraints are functionally independent) always leads to a degenerate symplectic structure upon Dirac reduction. The implications for the Gribov-Zwanziger approach to QCD are discussed. |
2211.09801 | Tristan H\"ubsch | Per Berglund, Giorgi Butbaia, Tristan H\"ubsch, Vishnu Jejjala,
Dami\'an Mayorga Pe\~na, Challenger Mishra, Justin Tan | Machine Learned Calabi-Yau Metrics and Curvature | Version accepted for publication: 48 pages, 32 figures, 8 tables, 3
appendices | ATMP v.27 no.4 (2023) 1107-1158 | 10.4310/ATMP.2023.v27.n4.a3 | null | hep-th cs.LG math.AG math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in
geometry with deep implications for string theory and phenomenology. A new
attack on this problem uses neural networks to engineer approximations to the
Calabi-Yau metric within a given K\"ahler class. In this paper we investigate
numerical Ricci-flat metrics over smooth and singular K3 surfaces and
Calabi-Yau threefolds. Using these Ricci-flat metric approximations for the
Cefal\'u family of quartic twofolds and the Dwork family of quintic threefolds,
we study characteristic forms on these geometries. We observe that the
numerical stability of the numerically computed topological characteristic is
heavily influenced by the choice of the neural network model, in particular, we
briefly discuss a different neural network model, namely Spectral networks,
which correctly approximate the topological characteristic of a Calabi-Yau.
Using persistent homology, we show that high curvature regions of the manifolds
form clusters near the singular points. For our neural network approximations,
we observe a Bogomolov--Yau type inequality $3c_2 \geq c_1^2$ and observe an
identity when our geometries have isolated $A_1$ type singularities. We sketch
a proof that $\chi(X~\smallsetminus~\mathrm{Sing}\,{X}) +
2~|\mathrm{Sing}\,{X}| = 24$ also holds for our numerical approximations.
| [
{
"created": "Thu, 17 Nov 2022 18:59:03 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2023 18:00:06 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2023 15:06:15 GMT",
"version": "v3"
}
] | 2024-06-10 | [
[
"Berglund",
"Per",
""
],
[
"Butbaia",
"Giorgi",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Peña",
"Damián Mayorga",
""
],
[
"Mishra",
"Challenger",
""
],
[
"Tan",
"Justin",
""
]
] | Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in geometry with deep implications for string theory and phenomenology. A new attack on this problem uses neural networks to engineer approximations to the Calabi-Yau metric within a given K\"ahler class. In this paper we investigate numerical Ricci-flat metrics over smooth and singular K3 surfaces and Calabi-Yau threefolds. Using these Ricci-flat metric approximations for the Cefal\'u family of quartic twofolds and the Dwork family of quintic threefolds, we study characteristic forms on these geometries. We observe that the numerical stability of the numerically computed topological characteristic is heavily influenced by the choice of the neural network model, in particular, we briefly discuss a different neural network model, namely Spectral networks, which correctly approximate the topological characteristic of a Calabi-Yau. Using persistent homology, we show that high curvature regions of the manifolds form clusters near the singular points. For our neural network approximations, we observe a Bogomolov--Yau type inequality $3c_2 \geq c_1^2$ and observe an identity when our geometries have isolated $A_1$ type singularities. We sketch a proof that $\chi(X~\smallsetminus~\mathrm{Sing}\,{X}) + 2~|\mathrm{Sing}\,{X}| = 24$ also holds for our numerical approximations. |
hep-th/9805044 | Anton Galajinsky | Anton V. Galajinsky and Dmitri M. Gitman | Siegel superparticle, higher order fermionic constraints, and path
integrals | 22 pages, LaTex file | Nucl.Phys. B536 (1998) 435-453 | 10.1016/S0550-3213(98)00584-7 | IFUSP/P 1308 | hep-th | null | We study Siegel superparticle moving in $R^{4|4}$ flat superspace. Canonical
quantization is accomplished yielding the massless Wess-Zumino model as an
effective field theory. Path integral representation for the corresponding
superpropagator is constructed and proven to involve the Siegel action in a
gauge fixed form. It is shown that higher order fermionic constraints intrinsic
in the theory, though being a consequence of others in $d=4$, make a crucial
contribution into the path integral.
| [
{
"created": "Fri, 8 May 1998 17:51:28 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Galajinsky",
"Anton V.",
""
],
[
"Gitman",
"Dmitri M.",
""
]
] | We study Siegel superparticle moving in $R^{4|4}$ flat superspace. Canonical quantization is accomplished yielding the massless Wess-Zumino model as an effective field theory. Path integral representation for the corresponding superpropagator is constructed and proven to involve the Siegel action in a gauge fixed form. It is shown that higher order fermionic constraints intrinsic in the theory, though being a consequence of others in $d=4$, make a crucial contribution into the path integral. |
2108.05369 | Yasunori Lee | Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa | Matching higher symmetries across Intriligator-Seiberg duality | 18 pages + appendices; v2: minor changes | null | 10.1007/JHEP10(2021)114 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study higher symmetries and anomalies of 4d $\mathfrak{so}(2n_c)$ gauge
theory with $2n_f$ flavors. We find that they depend on the parity of $n_c$ and
$n_f$, the global form of the gauge group, and the discrete theta angle. The
contribution from the fermions plays a central role in our analysis.
Furthermore, our conclusion applies to $\mathcal{N}=1$ supersymmetric cases as
well, and we see that higher symmetries and anomalies match across the
Intriligator-Seiberg duality between
$\mathfrak{so}(2n_c)\leftrightarrow\mathfrak{so}(2n_f-2n_c+4)$.
| [
{
"created": "Wed, 11 Aug 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 2021 18:00:01 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Lee",
"Yasunori",
""
],
[
"Ohmori",
"Kantaro",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We study higher symmetries and anomalies of 4d $\mathfrak{so}(2n_c)$ gauge theory with $2n_f$ flavors. We find that they depend on the parity of $n_c$ and $n_f$, the global form of the gauge group, and the discrete theta angle. The contribution from the fermions plays a central role in our analysis. Furthermore, our conclusion applies to $\mathcal{N}=1$ supersymmetric cases as well, and we see that higher symmetries and anomalies match across the Intriligator-Seiberg duality between $\mathfrak{so}(2n_c)\leftrightarrow\mathfrak{so}(2n_f-2n_c+4)$. |
hep-th/9702156 | Brian Dolan | Brian P. Dolan | Renormalisation Group Flow and Geodesics in the O(N) Model for Large N | 24 pages, plain TeX, 6 figures. Includes an expanded discussion of
the metric and some minor corrections | Nucl.Phys. B528 (1998) 553-576 | 10.1016/S0550-3213(98)00457-X | null | hep-th cond-mat | null | A metric is introduced on the space of parameters (couplings) describing the
large N limit of the O(N) model in Euclidean space. The geometry associated
with this metric is analysed in the particular case of the infinite volume
limit in 3 dimensions and it is shown that the Ricci curvature diverges at the
ultra-violet (Gaussian) fixed point but is finite and tends to constant
negative curvature at the infra-red (Wilson-Fisher) fixed point. The
renormalisation group flow is examined in terms of geodesics of the metric. The
critical line of cross-over from the Wilson-Fisher fixed point to the Gaussian
fixed point is shown to be a geodesic but all other renormalisation group
trajectories, which are repulsed from the Gaussian fixed point in the
ultra-violet, are not geodesics. The geodesic flow is interpreted in terms of a
maximisation principle for the relative entropy.
| [
{
"created": "Fri, 21 Feb 1997 12:51:36 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 1997 16:59:54 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dolan",
"Brian P.",
""
]
] | A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(N) model in Euclidean space. The geometry associated with this metric is analysed in the particular case of the infinite volume limit in 3 dimensions and it is shown that the Ricci curvature diverges at the ultra-violet (Gaussian) fixed point but is finite and tends to constant negative curvature at the infra-red (Wilson-Fisher) fixed point. The renormalisation group flow is examined in terms of geodesics of the metric. The critical line of cross-over from the Wilson-Fisher fixed point to the Gaussian fixed point is shown to be a geodesic but all other renormalisation group trajectories, which are repulsed from the Gaussian fixed point in the ultra-violet, are not geodesics. The geodesic flow is interpreted in terms of a maximisation principle for the relative entropy. |
2309.15506 | Michele Santagata | Hynek Paul and Michele Santagata | Genus-one open string amplitudes on AdS$_5\times$S$^3$ from CFT | 37 pages + appendices and 1 ancillary file; v2: typos fixed, match
published JHEP version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We bootstrap one-loop string corrections to the four-point function of
half-BPS operators in a 4d $\mathcal{N}=2$ SCFT with flavour group $SO(8)$,
dual to gluon scattering at genus one on AdS$_5\times$S$^3$. We identify an
8-dimensional organising principle which governs the spectrum of double-trace
anomalous dimensions, valid to all orders in the string length. This has
precise implications for the structure of one-loop Mellin amplitudes, which we
explicitly compute for the first three orders beyond the field-theory limit. We
also consider the corresponding position space representation, which is
entirely determined by the square of a certain differential operator acting on
a simpler "pre-correlator". Finally, we show that the flat-space limit of the
Mellin amplitudes exactly matches the logarithmic terms of the genus-one
amplitude in 8-dimensional flat space, which we compute via a partial-wave
analysis.
| [
{
"created": "Wed, 27 Sep 2023 09:17:35 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2024 02:58:19 GMT",
"version": "v2"
}
] | 2024-01-10 | [
[
"Paul",
"Hynek",
""
],
[
"Santagata",
"Michele",
""
]
] | We bootstrap one-loop string corrections to the four-point function of half-BPS operators in a 4d $\mathcal{N}=2$ SCFT with flavour group $SO(8)$, dual to gluon scattering at genus one on AdS$_5\times$S$^3$. We identify an 8-dimensional organising principle which governs the spectrum of double-trace anomalous dimensions, valid to all orders in the string length. This has precise implications for the structure of one-loop Mellin amplitudes, which we explicitly compute for the first three orders beyond the field-theory limit. We also consider the corresponding position space representation, which is entirely determined by the square of a certain differential operator acting on a simpler "pre-correlator". Finally, we show that the flat-space limit of the Mellin amplitudes exactly matches the logarithmic terms of the genus-one amplitude in 8-dimensional flat space, which we compute via a partial-wave analysis. |
2012.15849 | Tzu-Chen Huang | Nima Arkani-Hamed, Tzu-Chen Huang, Yu-tin Huang | The EFT-Hedron | Correction made to spinning EFThedron analysis; minor clarifications
added | null | 10.1007/JHEP05(2021)259 | NCTS-TH/2014, CALT-TH 2020-061 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We re-examine the constraints imposed by causality and unitarity on the
low-energy effective field theory expansion of four-particle scattering
amplitudes, exposing a hidden "totally positive" structure strikingly similar
to the positive geometries associated with grassmannians and amplituhedra. This
forces the infinite tower of higher-dimension operators to lie inside a new
geometry we call the "EFThedron". We initiate a systematic investigation of the
boundary structure of the EFThedron, giving infinitely many linear and
non-linear inequalities that must be satisfied by the EFT expansion in any
theory. We illustrate the EFThedron geometry and constraints in a wide variety
of examples, including new consistency conditions on the scattering amplitudes
of photons and gravitons in the real world.
| [
{
"created": "Thu, 31 Dec 2020 18:57:48 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2021 04:41:06 GMT",
"version": "v2"
}
] | 2023-01-11 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Huang",
"Tzu-Chen",
""
],
[
"Huang",
"Yu-tin",
""
]
] | We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden "totally positive" structure strikingly similar to the positive geometries associated with grassmannians and amplituhedra. This forces the infinite tower of higher-dimension operators to lie inside a new geometry we call the "EFThedron". We initiate a systematic investigation of the boundary structure of the EFThedron, giving infinitely many linear and non-linear inequalities that must be satisfied by the EFT expansion in any theory. We illustrate the EFThedron geometry and constraints in a wide variety of examples, including new consistency conditions on the scattering amplitudes of photons and gravitons in the real world. |
1502.02919 | Maria Vittoria Gargiulo | Maria Vittoria Gargiulo, Mairi Sakellariadou and Giuseppe Vitiello | Noncommutative spectral geometry, Bogoliubov transformations and
neutrino oscillations | 9 pages, DICE 14 proceeding | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this report we show that neutrino mixing is intrinsically contained in
Connes' noncommutative spectral geometry construction, thanks to the
introduction of the doubling of algebra, which is connected to the Bogoliubov
transformation. It is known indeed that these transformations are responsible
for the mixing, turning the mass vacuum state into the flavor vacuum state, in
such a way that mass and flavor vacuum states are not unitary equivalent. There
is thus a red thread that binds the doubling of algebra of Connes' model to the
neutrino mixing.
| [
{
"created": "Tue, 10 Feb 2015 14:31:36 GMT",
"version": "v1"
}
] | 2015-02-11 | [
[
"Gargiulo",
"Maria Vittoria",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] | In this report we show that neutrino mixing is intrinsically contained in Connes' noncommutative spectral geometry construction, thanks to the introduction of the doubling of algebra, which is connected to the Bogoliubov transformation. It is known indeed that these transformations are responsible for the mixing, turning the mass vacuum state into the flavor vacuum state, in such a way that mass and flavor vacuum states are not unitary equivalent. There is thus a red thread that binds the doubling of algebra of Connes' model to the neutrino mixing. |
0903.3171 | John Gracey | F.R. Ford and J.A. Gracey | Three loop MSbar anomalous dimension for renormalizable gauge invariant
non-local gluon mass operator in QCD | 9 latex pages with separate file containing three loop expressions in
Form notation | Phys.Lett.B674:232-236,2009 | 10.1016/j.physletb.2009.03.029 | LTH 826 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three loop anomalous dimension for the gauge invariant, renormalizable,
non-local mass operator for a gluon is computed in the MSbar scheme. In
addition the anomalous dimensions of the associated localizing ghost fields are
also deduced at the same order and it is shown that the three loop QCD
beta-function correctly emerges from the gluon localizing ghost vertex
renormalization.
| [
{
"created": "Wed, 18 Mar 2009 14:45:41 GMT",
"version": "v1"
}
] | 2009-04-29 | [
[
"Ford",
"F. R.",
""
],
[
"Gracey",
"J. A.",
""
]
] | The three loop anomalous dimension for the gauge invariant, renormalizable, non-local mass operator for a gluon is computed in the MSbar scheme. In addition the anomalous dimensions of the associated localizing ghost fields are also deduced at the same order and it is shown that the three loop QCD beta-function correctly emerges from the gluon localizing ghost vertex renormalization. |
1402.5204 | Sophia K Domokos | Sophia K. Domokos and Matan Field | On Effective Actions from Holography | 39 pages, prepared for submission to JHEP | null | 10.1007/JHEP08(2014)041 | NYU-TH-02/18/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by holographic Wilsonian renormalization, we propose a novel
perspective on the low-energy effective actions of confining gauge theories
with gravity duals. By identifying the IR-boundary value of a certain bulk
field as overlapping with the lightest mode of the field theory, we derive its
on-shell effective action by integrating over the rest of the geometry. We
illustrate the details of this formalism by computing chiral Lagrangian
coefficients in a simple AdS/QCD toy model, finding agreement with previous
results. At higher orders we obtain new results in that model, including a
closed form for the four-pion scattering amplitude to all orders in momentum.
Finally, we reformulate our method in terms of bulk Feynman diagrams.
| [
{
"created": "Fri, 21 Feb 2014 04:44:34 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Domokos",
"Sophia K.",
""
],
[
"Field",
"Matan",
""
]
] | Inspired by holographic Wilsonian renormalization, we propose a novel perspective on the low-energy effective actions of confining gauge theories with gravity duals. By identifying the IR-boundary value of a certain bulk field as overlapping with the lightest mode of the field theory, we derive its on-shell effective action by integrating over the rest of the geometry. We illustrate the details of this formalism by computing chiral Lagrangian coefficients in a simple AdS/QCD toy model, finding agreement with previous results. At higher orders we obtain new results in that model, including a closed form for the four-pion scattering amplitude to all orders in momentum. Finally, we reformulate our method in terms of bulk Feynman diagrams. |
1311.2704 | Damiano Anselmi | Damiano Anselmi | Background field method, Batalin-Vilkovisky formalism and parametric
completeness of renormalization | 40 pages; v2: minor changes, PRD version | Phys. Rev. D 89, 045004 (2014) | 10.1103/PhysRevD.89.045004 | IFUP-TH 2013/21 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the background field method with the Batalin-Vilkovisky
formalism, to generalize known results, study parametric completeness and
achieve a better understanding of several properties. In particular, we study
renormalization and gauge dependence to all orders. Switching between the
background field approach and the usual approach by means of canonical
transformations, we prove parametric completeness without making use of
cohomological theorems, namely show that if the starting classical action is
sufficiently general all divergences can be subtracted by means of parameter
redefinitions and canonical transformations. Our approach applies to
renormalizable and non-renormalizable theories that are manifestly free of
gauge anomalies and satisfy the following assumptions: the gauge algebra is
irreducible and closes off shell, the gauge transformations are linear
functions of the fields, and closure is field-independent. Yang-Mills theories
and quantum gravity in arbitrary dimensions are included, as well as effective
and higher-derivative versions of them, but several other theories, such as
supergravity, are left out.
| [
{
"created": "Tue, 12 Nov 2013 07:49:30 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2014 13:10:20 GMT",
"version": "v2"
}
] | 2014-02-12 | [
[
"Anselmi",
"Damiano",
""
]
] | We investigate the background field method with the Batalin-Vilkovisky formalism, to generalize known results, study parametric completeness and achieve a better understanding of several properties. In particular, we study renormalization and gauge dependence to all orders. Switching between the background field approach and the usual approach by means of canonical transformations, we prove parametric completeness without making use of cohomological theorems, namely show that if the starting classical action is sufficiently general all divergences can be subtracted by means of parameter redefinitions and canonical transformations. Our approach applies to renormalizable and non-renormalizable theories that are manifestly free of gauge anomalies and satisfy the following assumptions: the gauge algebra is irreducible and closes off shell, the gauge transformations are linear functions of the fields, and closure is field-independent. Yang-Mills theories and quantum gravity in arbitrary dimensions are included, as well as effective and higher-derivative versions of them, but several other theories, such as supergravity, are left out. |
2103.10654 | Shun Kobayashi | Shun K. Kobayashi and Kazuya Yonekura | Atiyah-Patodi-Singer index theorem from axial anomaly | 16 pages, 3 figures | Prog Theor Exp Phys (2021) | 10.1093/ptep/ptab061 | TU-1119 | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We give a very simple derivation of the Atiyah-Patodi-Singer (APS) index
theorem and its small generalization by using the path integral of massless
Dirac fermions. It is based on the Fujikawa's argument for the relation between
the axial anomaly and the Atiyah-Singer index theorem, and only a minor
modification of that argument is sufficient to show the APS index theorem. The
key ingredient is the identification of the APS boundary condition and its
generalization as physical state vectors in the Hilbert space of the massless
fermion theory. The APS $\eta$-invariant appears as the axial charge of the
physical states.
| [
{
"created": "Fri, 19 Mar 2021 06:26:28 GMT",
"version": "v1"
}
] | 2021-07-28 | [
[
"Kobayashi",
"Shun K.",
""
],
[
"Yonekura",
"Kazuya",
""
]
] | We give a very simple derivation of the Atiyah-Patodi-Singer (APS) index theorem and its small generalization by using the path integral of massless Dirac fermions. It is based on the Fujikawa's argument for the relation between the axial anomaly and the Atiyah-Singer index theorem, and only a minor modification of that argument is sufficient to show the APS index theorem. The key ingredient is the identification of the APS boundary condition and its generalization as physical state vectors in the Hilbert space of the massless fermion theory. The APS $\eta$-invariant appears as the axial charge of the physical states. |
2310.02101 | Manthos Karydas | Patrick Draper, Szilard Farkas, and Manthos Karydas | Path Integral Factorization and the Gravitational Effective Action | 32 pages, 1 figure, 3 appendices | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We discuss the factorization and continuity properties of fields in the
Euclidean gravitational path integral with higher dimension operators
constructed from powers of the Riemann tensor. We construct the boundary terms
corresponding to the microcanonical ensemble and show that the saddle point
approximation to the path integral with a quasilocal energy constraint
generally yields a saddle point with discontinuous temperature. This extends a
previous result for the Euclidean Schwarzschild-de Sitter geometry in Einstein
gravity and shows that it is robust against at least some types of quantum
corrections from heavy fields. As an application, we compute the entropy of SdS
in $\text{D}=4$ using the BTZ method. Our result matches the entropy calculated
using Wald's formula.
| [
{
"created": "Tue, 3 Oct 2023 14:46:28 GMT",
"version": "v1"
}
] | 2023-10-04 | [
[
"Draper",
"Patrick",
""
],
[
"Farkas",
"Szilard",
""
],
[
"Karydas",
"Manthos",
""
]
] | We discuss the factorization and continuity properties of fields in the Euclidean gravitational path integral with higher dimension operators constructed from powers of the Riemann tensor. We construct the boundary terms corresponding to the microcanonical ensemble and show that the saddle point approximation to the path integral with a quasilocal energy constraint generally yields a saddle point with discontinuous temperature. This extends a previous result for the Euclidean Schwarzschild-de Sitter geometry in Einstein gravity and shows that it is robust against at least some types of quantum corrections from heavy fields. As an application, we compute the entropy of SdS in $\text{D}=4$ using the BTZ method. Our result matches the entropy calculated using Wald's formula. |
0801.3507 | Kunihito Uzawa | Pierre Binetruy, Misao Sasaki, Kunihito Uzawa | Dynamical solution of supergravity | 4 pages, no figure. Contribution to proceedings of the workshop "The
17th Workshop on General Relativity and Gravitation" (Japan, December 2007) | null | null | null | hep-th | null | We present a class of dynamical solutions for an intersecting D4-D8 brane
system in ten-dimensional type IIA supergravity. The dynamical solutions
reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region.
We also consider lower-dimensional effective theories for the warped
compactification of general p-brane system. It is found that an effective
(p+1)-dimensional description is not possible in general due to the
entanglement of the transverse coordinates and the (p+1)-dimensional
coordinates in the metric components. Then we discuss cosmological solutions.
We find a solution that behaves like a Kasner-type cosmological solution at
$\tau\to\infty$, while it reduces to a warped static solution at $\tau\to0$,
where $\tau$ is the cosmic time.
| [
{
"created": "Wed, 23 Jan 2008 06:11:15 GMT",
"version": "v1"
}
] | 2008-01-24 | [
[
"Binetruy",
"Pierre",
""
],
[
"Sasaki",
"Misao",
""
],
[
"Uzawa",
"Kunihito",
""
]
] | We present a class of dynamical solutions for an intersecting D4-D8 brane system in ten-dimensional type IIA supergravity. The dynamical solutions reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region. We also consider lower-dimensional effective theories for the warped compactification of general p-brane system. It is found that an effective (p+1)-dimensional description is not possible in general due to the entanglement of the transverse coordinates and the (p+1)-dimensional coordinates in the metric components. Then we discuss cosmological solutions. We find a solution that behaves like a Kasner-type cosmological solution at $\tau\to\infty$, while it reduces to a warped static solution at $\tau\to0$, where $\tau$ is the cosmic time. |
1909.09310 | Shaun Hampton | Shaun Hampton | Understanding Black Hole Formation in String Theory | PhD Dissertation, 443 pages, 18 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The strongly coupled dynamics of black hole formation in bulk AdS is
conjectured to be dual to the thermalization of a weakly interacting CFT on the
boundary for low $N$ which, for $N\to\infty$, becomes strongly coupled. We
search for this thermalization effect by utilizing the D1D5 CFT to compute
effective string interactions for $N=2$. This is done by turning on a marginal
deformation of the theory which twists together or untwists effective strings.
For a system to thermalize, the initial state, which is far from thermal, must
redistribute it's energy via interactions until a thermal state is achieved. In
our case, we consider excited states of the effective strings. We compute
splitting amplitudes for 1) one excitation going to three excitations and 2)
two excitations going to four excitations using two insertions of the
deformation. Scenario 1) corresponds to a single particle moving in AdS.
Scenario 2) corresponds to two particles moving and colliding in AdS. We find
that the `1 to 3' amplitude has terms which oscillate with time, $t$, where $t$
is the duration of the two deformations. We find that the `2 to 4' amplitude
has similar oscillatory terms as well as secular terms which grow like $t^2$.
For this case the growth implies that for large $t$ the excitations in the
initial state, which carry a given energy, prefer to redistribute themselves
amongst lower energy modes in the final state. This is a key feature of
thermalization. Albeit in a simplified setting, we therefore argue that we have
identified the thermalization vertex in the D1D5 CFT, which after repeated
applications, should lead to thermalization. This ultimately maps to two
particles colliding and forming a black hole in AdS, which in our case, is a
fuzzball.
| [
{
"created": "Fri, 20 Sep 2019 03:55:42 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 2020 18:02:07 GMT",
"version": "v2"
}
] | 2020-06-23 | [
[
"Hampton",
"Shaun",
""
]
] | The strongly coupled dynamics of black hole formation in bulk AdS is conjectured to be dual to the thermalization of a weakly interacting CFT on the boundary for low $N$ which, for $N\to\infty$, becomes strongly coupled. We search for this thermalization effect by utilizing the D1D5 CFT to compute effective string interactions for $N=2$. This is done by turning on a marginal deformation of the theory which twists together or untwists effective strings. For a system to thermalize, the initial state, which is far from thermal, must redistribute it's energy via interactions until a thermal state is achieved. In our case, we consider excited states of the effective strings. We compute splitting amplitudes for 1) one excitation going to three excitations and 2) two excitations going to four excitations using two insertions of the deformation. Scenario 1) corresponds to a single particle moving in AdS. Scenario 2) corresponds to two particles moving and colliding in AdS. We find that the `1 to 3' amplitude has terms which oscillate with time, $t$, where $t$ is the duration of the two deformations. We find that the `2 to 4' amplitude has similar oscillatory terms as well as secular terms which grow like $t^2$. For this case the growth implies that for large $t$ the excitations in the initial state, which carry a given energy, prefer to redistribute themselves amongst lower energy modes in the final state. This is a key feature of thermalization. Albeit in a simplified setting, we therefore argue that we have identified the thermalization vertex in the D1D5 CFT, which after repeated applications, should lead to thermalization. This ultimately maps to two particles colliding and forming a black hole in AdS, which in our case, is a fuzzball. |
hep-th/9310043 | null | N. Banerjee, Subir Ghosh, R. Banerjee | Batalin-Tyutin Quantisation of the $CP^{N-1}$ model | 14 pages, SINP-TNP/93-16 | Phys.Rev. D49 (1994) 1996-2000 | 10.1103/PhysRevD.49.1996 | null | hep-th | null | The $CP^{N-1}$ model is quantised in the generalised canonical formalism of
Batalin and Tyutin by converting the original second class system into first
class. Operator ordering ambiguities present in the conventional quantisation
scheme of Dirac are thereby avoided. The first class constraints, the
involutive Hamiltonian and the BRST charge are explicitly computed. The
partition function is defined and evaluated in the unitary gauge.
| [
{
"created": "Thu, 7 Oct 1993 12:09:33 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Banerjee",
"N.",
""
],
[
"Ghosh",
"Subir",
""
],
[
"Banerjee",
"R.",
""
]
] | The $CP^{N-1}$ model is quantised in the generalised canonical formalism of Batalin and Tyutin by converting the original second class system into first class. Operator ordering ambiguities present in the conventional quantisation scheme of Dirac are thereby avoided. The first class constraints, the involutive Hamiltonian and the BRST charge are explicitly computed. The partition function is defined and evaluated in the unitary gauge. |
2208.07575 | Charles Marteau | Andrea Campoleoni, Luca Ciambelli, Arnaud Delfante, Charles Marteau,
P. Marios Petropoulos and Romain Ruzziconi | Holographic Lorentz and Carroll Frames | 34+9 pages | null | 10.1007/JHEP12(2022)007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relaxing the Bondi gauge, the solution space of three-dimensional gravity in
the metric formulation has been shown to contain an additional free function
that promotes the boundary metric to a Lorentz or Carroll frame, in
asymptotically AdS or flat spacetimes. We pursue this analysis and show that
the solution space also admits a finite symplectic structure, obtained taking
advantage of the built-in ambiguities. The smoothness of the flat limit of the
AdS symplectic structure selects a prescription in which the holographic
anomaly appears in the boundary Lorentz symmetry, that rotates the frame. This
anomaly turns out to be cohomologically equivalent to the standard holographic
Weyl anomaly and survives in the flat limit, thus predicting the existence of
quantum anomalies in conformal Carrollian field theories. We also revisit these
results in the Chern--Simons formulation, where the prescription for the
symplectic structure admitting a smooth flat limit follows from the variational
principle, and we compute the charge algebra in the boundary conformal gauge.
| [
{
"created": "Tue, 16 Aug 2022 07:35:08 GMT",
"version": "v1"
}
] | 2022-12-21 | [
[
"Campoleoni",
"Andrea",
""
],
[
"Ciambelli",
"Luca",
""
],
[
"Delfante",
"Arnaud",
""
],
[
"Marteau",
"Charles",
""
],
[
"Petropoulos",
"P. Marios",
""
],
[
"Ruzziconi",
"Romain",
""
]
] | Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a Lorentz or Carroll frame, in asymptotically AdS or flat spacetimes. We pursue this analysis and show that the solution space also admits a finite symplectic structure, obtained taking advantage of the built-in ambiguities. The smoothness of the flat limit of the AdS symplectic structure selects a prescription in which the holographic anomaly appears in the boundary Lorentz symmetry, that rotates the frame. This anomaly turns out to be cohomologically equivalent to the standard holographic Weyl anomaly and survives in the flat limit, thus predicting the existence of quantum anomalies in conformal Carrollian field theories. We also revisit these results in the Chern--Simons formulation, where the prescription for the symplectic structure admitting a smooth flat limit follows from the variational principle, and we compute the charge algebra in the boundary conformal gauge. |
hep-th/0012162 | Reinhard Oehme | Reinhard Oehme | Reduction of Coupling Parameters in Quantum Field Theories | 7 pages, latex, for the Encyclopedia of Supersymmetry, Kluwer | null | null | EFI 2000-51 | hep-th | null | A concise survey is given of the general method of reduction in the number of
coupling parameters. Theories with several independent couplings are related to
a set of theories with a single coupling. The reduced theories may or may not
have particular symmetries. A few have asymptotic power series expansions,
others contain non-integer powers and/or logarithmic factors. An example is
given with two power series solutions, one with N = 2 Supersymmetry, and one
with no known symmetry. In a second example, the reduced Yukawa coupling of the
superpotential in a dual magnetic supersymmetric gauge theory is uniquely given
by the square of the magnetic gauge coupling with a known factor.
| [
{
"created": "Mon, 18 Dec 2000 20:25:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Oehme",
"Reinhard",
""
]
] | A concise survey is given of the general method of reduction in the number of coupling parameters. Theories with several independent couplings are related to a set of theories with a single coupling. The reduced theories may or may not have particular symmetries. A few have asymptotic power series expansions, others contain non-integer powers and/or logarithmic factors. An example is given with two power series solutions, one with N = 2 Supersymmetry, and one with no known symmetry. In a second example, the reduced Yukawa coupling of the superpotential in a dual magnetic supersymmetric gauge theory is uniquely given by the square of the magnetic gauge coupling with a known factor. |
2012.08963 | Luis Inzunza | Luis Inzunza | Hidden symmetries and nonlinear (super)algebras | PhD thesis, Univ. de Santiago de Chile, 2020 (supervisor: Mikhail
Plyushchay); 161 pages; Based on arXiv:1707.07357, arXiv:1711.00616,
arXiv:1809.08527, arXiv:1902.00538, arXiv:1912.11752 and arXiv:2002.04341 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hidden symmetries, described by higher order in momenta integrals of motion
that generate nonlinear algebras, are explored at the level of classical and
quantum mechanics in a variety of physical systems related to conformal and
superconformal invariance.
| [
{
"created": "Wed, 16 Dec 2020 14:03:19 GMT",
"version": "v1"
}
] | 2020-12-17 | [
[
"Inzunza",
"Luis",
""
]
] | Hidden symmetries, described by higher order in momenta integrals of motion that generate nonlinear algebras, are explored at the level of classical and quantum mechanics in a variety of physical systems related to conformal and superconformal invariance. |
hep-th/9608092 | Andreas Fring | B. Schroer | Wigner Representation Theory of the Poincare Group, Localization,
Statistics and the S-Matrix | 28 pages of LateX, removal of misprints and extension of the last
section. more misprints corrected | Nucl.Phys.B499:519-546,1997 | 10.1016/S0550-3213(97)00358-1 | null | hep-th | null | It has been known that the Wigner representation theory for positive energy
orbits permits a useful localization concept in terms of certain lattices of
real subspaces of the complex Hilbert -space. This ''modular localization'' is
not only useful in order to construct interaction-free nets of local algebras
without using non-unique ''free field coordinates'', but also permits the study
of properties of localization and braid-group statistics in low-dimensional
QFT. It also sheds some light on the string-like localization properties of the
1939 Wigner's ''continuous spin'' representations.We formulate a constructive
nonperturbative program to introduce interactions into such an approach based
on the Tomita-Takesaki modular theory. The new aspect is the deep relation of
the latter with the scattering operator.
| [
{
"created": "Wed, 14 Aug 1996 16:33:04 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Sep 1996 08:55:45 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Mar 1997 19:15:48 GMT",
"version": "v3"
}
] | 2010-11-19 | [
[
"Schroer",
"B.",
""
]
] | It has been known that the Wigner representation theory for positive energy orbits permits a useful localization concept in terms of certain lattices of real subspaces of the complex Hilbert -space. This ''modular localization'' is not only useful in order to construct interaction-free nets of local algebras without using non-unique ''free field coordinates'', but also permits the study of properties of localization and braid-group statistics in low-dimensional QFT. It also sheds some light on the string-like localization properties of the 1939 Wigner's ''continuous spin'' representations.We formulate a constructive nonperturbative program to introduce interactions into such an approach based on the Tomita-Takesaki modular theory. The new aspect is the deep relation of the latter with the scattering operator. |
1910.12836 | James Sully | Moshe Rozali, James Sully, Mark Van Raamsdonk, Christopher Waddell,
David Wakeham | Information radiation in BCFT models of black holes | 38 pages, 18 figures; v2: minor corrections, references and
acknowledgements added; v3: updated discussion in section 3.3, added
references | null | 10.1007/JHEP05(2020)004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, following [arXiv:1905.08255, arXiv:1905.08762,
arXiv:1908.10996], we introduce and study various holographic systems which can
describe evaporating black holes. The systems we consider are boundary
conformal field theories for which the number of local degrees of freedom on
the boundary ($c_{bdy}$) is large compared to the number of local degrees of
freedom in the bulk CFT ($c_{bulk}$). We consider states where the boundary
degrees of freedom on their own would describe an equilibrium black hole, but
the coupling to the bulk CFT degrees of freedom allows this black hole to
evaporate. The Page time for the black hole is controlled by the ratio
$c_{bdy}/c_{bulk}$. Using both holographic calculations and direct CFT
calculations, we study the evolution of the entanglement entropy for the subset
of the radiation system (i.e. the bulk CFT) at a distance $d > a$ from the
boundary. We find that the entanglement entropy for this subsystem increases
until time $a + t_{Page}$ and then undergoes a phase transition after which the
entanglement wedge of the radiation system includes the black hole interior.
Remarkably, this occurs even if the radiation system is initially at the same
temperature as the black hole so that the two are in thermal equilibrium. In
this case, even though the black hole does not lose energy, it "radiates"
information through interaction with the radiation system until the radiation
system contains enough information to reconstruct the black hole interior.
| [
{
"created": "Mon, 28 Oct 2019 17:46:38 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2019 17:50:39 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jan 2020 01:49:45 GMT",
"version": "v3"
}
] | 2020-05-20 | [
[
"Rozali",
"Moshe",
""
],
[
"Sully",
"James",
""
],
[
"Van Raamsdonk",
"Mark",
""
],
[
"Waddell",
"Christopher",
""
],
[
"Wakeham",
"David",
""
]
] | In this note, following [arXiv:1905.08255, arXiv:1905.08762, arXiv:1908.10996], we introduce and study various holographic systems which can describe evaporating black holes. The systems we consider are boundary conformal field theories for which the number of local degrees of freedom on the boundary ($c_{bdy}$) is large compared to the number of local degrees of freedom in the bulk CFT ($c_{bulk}$). We consider states where the boundary degrees of freedom on their own would describe an equilibrium black hole, but the coupling to the bulk CFT degrees of freedom allows this black hole to evaporate. The Page time for the black hole is controlled by the ratio $c_{bdy}/c_{bulk}$. Using both holographic calculations and direct CFT calculations, we study the evolution of the entanglement entropy for the subset of the radiation system (i.e. the bulk CFT) at a distance $d > a$ from the boundary. We find that the entanglement entropy for this subsystem increases until time $a + t_{Page}$ and then undergoes a phase transition after which the entanglement wedge of the radiation system includes the black hole interior. Remarkably, this occurs even if the radiation system is initially at the same temperature as the black hole so that the two are in thermal equilibrium. In this case, even though the black hole does not lose energy, it "radiates" information through interaction with the radiation system until the radiation system contains enough information to reconstruct the black hole interior. |
2305.09466 | Folkert Kuipers | Xavier Calmet, Roberto Casadio, Stephen D.H. Hsu and Folkert Kuipers | Quantum Hair During Gravitational Collapse | 13 pages | Phys. Rev. D 108, 086012 (2023) | 10.1103/PhysRevD.108.086012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider quantum gravitational corrections to the Oppenheimer-Snyder
metric describing time-dependent dust ball collapse. The interior metric also
describes Friedmann-Lemaitre-Robertson-Walker cosmology and our results are
interpreted in that context. The exterior corrections are an example of quantum
hair, and are shown to persist throughout the collapse. Our results show the
quantum hair survives throughout the horizon formation and that the internal
state of the resulting black hole is accessible to outside observers.
| [
{
"created": "Tue, 16 May 2023 14:23:46 GMT",
"version": "v1"
}
] | 2023-10-25 | [
[
"Calmet",
"Xavier",
""
],
[
"Casadio",
"Roberto",
""
],
[
"Hsu",
"Stephen D. H.",
""
],
[
"Kuipers",
"Folkert",
""
]
] | We consider quantum gravitational corrections to the Oppenheimer-Snyder metric describing time-dependent dust ball collapse. The interior metric also describes Friedmann-Lemaitre-Robertson-Walker cosmology and our results are interpreted in that context. The exterior corrections are an example of quantum hair, and are shown to persist throughout the collapse. Our results show the quantum hair survives throughout the horizon formation and that the internal state of the resulting black hole is accessible to outside observers. |
hep-th/0603174 | Inyong Cho | Inyong Cho, Eung Jin Chun, Hang Bae Kim, and Yoonbai Kim | String Cosmology of the D-brane Universe | 23 pages, 8 figures. Final version, to appear in Phys. Rev. D | Phys.Rev.D74:126001,2006 | 10.1103/PhysRevD.74.126001 | null | hep-th astro-ph gr-qc hep-ph | null | We analyze homogeneous anisotropic cosmology driven by the dilaton and the
self-interacting ``massive'' antisymmetric tensor field which are indispensable
bosonic degrees with the graviton in the NS-NS sector of string theories with
D-branes. We found the attractor solutions for this system, which show the
overall features of general solutions, and confirmed it through numerical
analysis. The dilaton possesses the potential due to the presence of the
D-brane and the curvature of extra dimensions. In the presence of the
non-vanishing antisymmetric tensor field, the homogeneous universe expands
anisotropically while the D-brane term dominates. The isotropy is recovered as
the dilaton rolls down and the curvature term dominates. With the stabilizing
potential for the dilaton, the isotropy can also be recovered.
| [
{
"created": "Wed, 22 Mar 2006 15:22:02 GMT",
"version": "v1"
},
{
"created": "Mon, 29 May 2006 07:14:31 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Nov 2006 15:07:47 GMT",
"version": "v3"
},
{
"created": "Thu, 23 Nov 2006 12:55:14 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Cho",
"Inyong",
""
],
[
"Chun",
"Eung Jin",
""
],
[
"Kim",
"Hang Bae",
""
],
[
"Kim",
"Yoonbai",
""
]
] | We analyze homogeneous anisotropic cosmology driven by the dilaton and the self-interacting ``massive'' antisymmetric tensor field which are indispensable bosonic degrees with the graviton in the NS-NS sector of string theories with D-branes. We found the attractor solutions for this system, which show the overall features of general solutions, and confirmed it through numerical analysis. The dilaton possesses the potential due to the presence of the D-brane and the curvature of extra dimensions. In the presence of the non-vanishing antisymmetric tensor field, the homogeneous universe expands anisotropically while the D-brane term dominates. The isotropy is recovered as the dilaton rolls down and the curvature term dominates. With the stabilizing potential for the dilaton, the isotropy can also be recovered. |
hep-th/9705135 | F. Vendrell | F. Vendrell | A black hole in two-dimensional space-time | 12 pages, Revtex, 2 figures | null | null | null | hep-th gr-qc | null | An imploding shell of radiation is shown to create a 2-D black hole within
the framework of the ``R=T'' theory. The radius of the horizon is given by
1/(2M), where M is the mass of the black hole. The topology of the central
singularity is that of a corner. The radiation emitted very far from the black
hole is thermal with temperature M/(2\pi). The back-reaction problem is solved
to one-loop order.
| [
{
"created": "Mon, 19 May 1997 15:22:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vendrell",
"F.",
""
]
] | An imploding shell of radiation is shown to create a 2-D black hole within the framework of the ``R=T'' theory. The radius of the horizon is given by 1/(2M), where M is the mass of the black hole. The topology of the central singularity is that of a corner. The radiation emitted very far from the black hole is thermal with temperature M/(2\pi). The back-reaction problem is solved to one-loop order. |
hep-th/9208046 | Stanislav Pakuliak | S. Kharchev, A. Marshakov, A. Mironov, A. Morozov | Landau-Ginzburg Topological Theories in the Framework of GKM and
Equivalent Hierarchies | 14 pages, FIAN/TD-7/92 & ITEP-M-5/92, improved version | Mod.Phys.Lett.A8:1047-1062,1993; Theor.Math.Phys.95:571-582,1993 | 10.1007/BF01017143 | null | hep-th | null | We consider the deformations of ``monomial solutions'' to Generalized
Kontsevich Model \cite{KMMMZ91a,KMMMZ91b} and establish the relation between
the flows generated by these deformations with those of $N=2$ Landau-Ginzburg
topological theories. We prove that the partition function of a generic
Generalized Kontsevich Model can be presented as a product of some
``quasiclassical'' factor and non-deformed partition function which depends
only on the sum of Miwa transformed and flat times. This result is important
for the restoration of explicit $p-q$ symmetry in the interpolation pattern
between all the $(p,q)$-minimal string models with $c<1$ and for revealing its
integrable structure in $p$-direction, determined by deformations of the
potential. It also implies the way in which supersymmetric Landau-Ginzburg
models are embedded into the general context of GKM. From the point of view of
integrable theory these deformations present a particular case of what is
called equivalent hierarchies.
| [
{
"created": "Wed, 19 Aug 1992 11:23:41 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Sep 1992 03:06:31 GMT",
"version": "v2"
}
] | 2011-04-20 | [
[
"Kharchev",
"S.",
""
],
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | We consider the deformations of ``monomial solutions'' to Generalized Kontsevich Model \cite{KMMMZ91a,KMMMZ91b} and establish the relation between the flows generated by these deformations with those of $N=2$ Landau-Ginzburg topological theories. We prove that the partition function of a generic Generalized Kontsevich Model can be presented as a product of some ``quasiclassical'' factor and non-deformed partition function which depends only on the sum of Miwa transformed and flat times. This result is important for the restoration of explicit $p-q$ symmetry in the interpolation pattern between all the $(p,q)$-minimal string models with $c<1$ and for revealing its integrable structure in $p$-direction, determined by deformations of the potential. It also implies the way in which supersymmetric Landau-Ginzburg models are embedded into the general context of GKM. From the point of view of integrable theory these deformations present a particular case of what is called equivalent hierarchies. |
hep-th/9803242 | Eric Ragoucy | E. Ragoucy and P. Sorba | A remarkable connection between Yangians and finite W-algebras | 4 pages, latex2e, Talk presented at NEEDS'97, VIII Regional
Conference on Math. Phys, Vth Wigner Symposium and 3rd Bologna Workshop on
CFT and IM | null | null | null | hep-th math.QA | null | For a large class of finite W algebras, the defining relations of a Yangian
are proved to be satisfied. Therefore such finite W algebras appear as
realisations of Yangians. This result is useful to determine properties of such
W algebra representations.
| [
{
"created": "Mon, 30 Mar 1998 12:36:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
]
] | For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfied. Therefore such finite W algebras appear as realisations of Yangians. This result is useful to determine properties of such W algebra representations. |
hep-th/9905214 | Bogomil Gerganov | Bogomil Gerganov | Integrable Marginal Points in the N-Cosine Model | 17 pages, 1 figure, LaTeX2e, AMS | Nucl.Phys. B567 (2000) 391-406 | 10.1016/S0550-3213(99)00677-X | CLNS 99/1622 | hep-th | null | The integrability of the N-cosine model, a N-field generalization of the
sine-Gordon model, is investigated. We establish to first order in conformal
perturbation theory that, for arbitrary N, the model possesses a quantum
conserved current of Lorentz spin 3 on a submanifold of the parameter space
where the interaction becomes marginal. The integrability of the model on this
submanifold is further studied using renormalization techniques. It is shown
that for N = 2, 3, and 4 there exist special points on the marginal manifold at
which the N-cosine model is equivalent to models of Gross-Neveu type and
therefore is integrable. In the 2-field case we further argue that the points
mentioned above exhaust all integrable cases on the marginal submanifold.
| [
{
"created": "Thu, 27 May 1999 23:33:40 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gerganov",
"Bogomil",
""
]
] | The integrability of the N-cosine model, a N-field generalization of the sine-Gordon model, is investigated. We establish to first order in conformal perturbation theory that, for arbitrary N, the model possesses a quantum conserved current of Lorentz spin 3 on a submanifold of the parameter space where the interaction becomes marginal. The integrability of the model on this submanifold is further studied using renormalization techniques. It is shown that for N = 2, 3, and 4 there exist special points on the marginal manifold at which the N-cosine model is equivalent to models of Gross-Neveu type and therefore is integrable. In the 2-field case we further argue that the points mentioned above exhaust all integrable cases on the marginal submanifold. |
2012.14726 | Yi Yang | Sheng-Hong Lai, Jen-Chi Lee, Yi Yang | Recent developments of the Lauricella string scattering amplitudes and
their exact SL(K+3,C) Symmetry | 54 pages, 1 figure, minor modification, references added. arXiv admin
note: text overlap with arXiv:1806.05033 | Symmetry 2021, 13, 454 | 10.3390/sym13030454 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this review we propose a new perspective to demonstrate Gross conjecture
on high energy symmetry of string theory. We review the construction of the
exact string scattering amplitudes (SSA) of three tachyons and one arbitrary
string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string
theory. These LSSA form an infinite dimensional representation of the SL(K+3,C)
group. Moreover, we show that the SL(K+3,C) group can be used to solve all the
LSSA and express them in terms of one amplitude. As an application in the hard
scattering limit, the LSSA can be used to directly prove Gross conjecture which
was previously corrected and proved by the method of decoupling of zero norm
states (ZNS). Finally, the exact LSSA can be used to rederive the recurrence
relations of SSA in the Regge scattering limit with associated SL(5,C) symmetry
and the extended recurrence relations (including the mass and spin dependent
string BCJ relations) in the nonrelativistic scattering limit with associated
SL(4,C) symmetry discovered recently.
| [
{
"created": "Tue, 29 Dec 2020 12:19:32 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 02:03:14 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Mar 2021 13:33:04 GMT",
"version": "v3"
}
] | 2021-03-12 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Yang",
"Yi",
""
]
] | In this review we propose a new perspective to demonstrate Gross conjecture on high energy symmetry of string theory. We review the construction of the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory. These LSSA form an infinite dimensional representation of the SL(K+3,C) group. Moreover, we show that the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the LSSA can be used to directly prove Gross conjecture which was previously corrected and proved by the method of decoupling of zero norm states (ZNS). Finally, the exact LSSA can be used to rederive the recurrence relations of SSA in the Regge scattering limit with associated SL(5,C) symmetry and the extended recurrence relations (including the mass and spin dependent string BCJ relations) in the nonrelativistic scattering limit with associated SL(4,C) symmetry discovered recently. |
1111.6064 | Indrajit Mitra | Chandrasekhar Chatterjee, Indrajit Mitra and H.S.Sharatchandra | Two-potential theory of electric and magnetic charges via duality
transformation | 13 pages; a minor addition after equation (54), version to appear in
Physics Letters B | Phys.Lett. B710 (2012) 223 | 10.1016/j.physletb.2012.02.069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are
obtained via duality transformation. Analogous construction for three Euclidean
dimensions, with magnetic charges interacting with electric currents, is also
done. The role of Dirac strings as dislocations in the configurations of gauge
potential is emphasized.
| [
{
"created": "Fri, 25 Nov 2011 17:38:53 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2012 14:36:11 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Mar 2012 08:37:41 GMT",
"version": "v3"
}
] | 2017-11-22 | [
[
"Chatterjee",
"Chandrasekhar",
""
],
[
"Mitra",
"Indrajit",
""
],
[
"Sharatchandra",
"H. S.",
""
]
] | Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are obtained via duality transformation. Analogous construction for three Euclidean dimensions, with magnetic charges interacting with electric currents, is also done. The role of Dirac strings as dislocations in the configurations of gauge potential is emphasized. |
hep-th/9807067 | Iwannis Rizos | E. Kiritsis, C. Kounnas (CERN), P. M. Petropoulos (CERN & Neuchatel
U.) and J. Rizos (Ioannina U.) | String Threshold corrections in models with spontaneously broken
supersymmetry | 59 pages, Latex2e, final version to appear in Nucl. Phys. B | Nucl.Phys.B540:87-148,1999 | 10.1016/S0550-3213(98)00713-5 | CERN-TH/97-44, NEIP-97-007, IOA-97-08, LPTENS/97/11, CPTH-S499.0397 | hep-th | null | We analyse a class of four-dimensional heterotic ground states with N=2
space-time supersymmetry. From the ten-dimensional perspective, such models can
be viewed as compactifications on a six-dimensional manifold with SU(2)
holonomy, which is locally but not globally K3 x T^2. The maximal N=4
supersymmetry is spontaneously broken to N=2. The masses of the two massive
gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop
threshold corrections of gauge and R^2 couplings and we show that they fall in
several universality classes, in contrast to what happens in usual K3 x T^2
compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and
where a single universality class appears. These universality properties follow
from the structure of the elliptic genus. The behaviour of the threshold
corrections as functions of the moduli is analysed in detail: it is singular
across several rational lines of the T^2 moduli because of the appearance of
extra massless states, and suffers only from logarithmic singularities at large
radii. These features differ substantially from the ordinary K3 x T^2
compactifications, thereby reflecting the existence of spontaneously-broken N=4
supersymmetry. Although our results are valid in the general framework defined
above, we also point out several properties, specific to orbifold
constructions, which might be of phenomenological relevance.
| [
{
"created": "Thu, 9 Jul 1998 14:32:49 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 1998 13:04:37 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Aug 1998 15:06:36 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Jan 1999 11:27:22 GMT",
"version": "v4"
}
] | 2014-11-18 | [
[
"Kiritsis",
"E.",
"",
"CERN"
],
[
"Kounnas",
"C.",
"",
"CERN"
],
[
"Petropoulos",
"P. M.",
"",
"CERN & Neuchatel\n U."
],
[
"Rizos",
"J.",
"",
"Ioannina U."
]
] | We analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supersymmetry is spontaneously broken to N=2. The masses of the two massive gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop threshold corrections of gauge and R^2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 x T^2 compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T^2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 x T^2 compactifications, thereby reflecting the existence of spontaneously-broken N=4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance. |
hep-th/0409100 | de Azcarraga Jose A. | Igor A. Bandos, Jose A. de Azcarraga, Moises Picon and Oscar Varela | On the formulation of D=11 supergravity and the composite nature of its
three-from field | Two references added, a numerical factor corrected, as published in
Ann. Phys | Annals Phys. 317 (2005) 238-279 | 10.1016/j.aop.2004.11.016 | null | hep-th | null | The underlying gauge group structure of the D=11 Cremmer-Julia-Scherk
supergravity becomes manifest when its three-form field A_3 is expressed
through a set of one-form gauge fields. These are associated with the
generators of the elements of a family of enlarged supersymmetry algebras
$\tilde{\mathfrak{E}}^{(528|32+32)}(s)$ parametrized by a real number s. We
study in detail the composite structure of A_3 extending previous results by
D'Auria and Fr\'e, stress the equivalence of the above problem to the
trivialization of a standard supersymmetry algebra ${\mathfrak{E}}^{(11|32)}$
cohomology four-cocycle on the enlarged ${\tilde
{\mathfrak{E}}}^{(528|32+32)}(s)$ superalgebras, and discuss its possible
dynamical consequences. To this aim we consider the properties of the first
order supergravity action with a composite A_3 field and find the set of extra
gauge symmetries that guarantee that the field theoretical degrees of freedom
of the theory remain the same as with a fundamental A_3. The extra gauge
symmetries are also present in the so-called rheonomic treatment of the first
order D=11 supergravity action when A_3 is composite. Our considerations on the
composite structure of A_3 provide one more application of the idea that there
exists an extended superspace coordinates/fields correspondence. They also
suggest that there is a possible embedding of D=11 supergravity into a theory
defined on the enlarged superspace ${\tilde{\Sigma}}^{(528|32+32)}(s)$.
| [
{
"created": "Wed, 8 Sep 2004 16:34:11 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2005 09:32:45 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bandos",
"Igor A.",
""
],
[
"de Azcarraga",
"Jose A.",
""
],
[
"Picon",
"Moises",
""
],
[
"Varela",
"Oscar",
""
]
] | The underlying gauge group structure of the D=11 Cremmer-Julia-Scherk supergravity becomes manifest when its three-form field A_3 is expressed through a set of one-form gauge fields. These are associated with the generators of the elements of a family of enlarged supersymmetry algebras $\tilde{\mathfrak{E}}^{(528|32+32)}(s)$ parametrized by a real number s. We study in detail the composite structure of A_3 extending previous results by D'Auria and Fr\'e, stress the equivalence of the above problem to the trivialization of a standard supersymmetry algebra ${\mathfrak{E}}^{(11|32)}$ cohomology four-cocycle on the enlarged ${\tilde {\mathfrak{E}}}^{(528|32+32)}(s)$ superalgebras, and discuss its possible dynamical consequences. To this aim we consider the properties of the first order supergravity action with a composite A_3 field and find the set of extra gauge symmetries that guarantee that the field theoretical degrees of freedom of the theory remain the same as with a fundamental A_3. The extra gauge symmetries are also present in the so-called rheonomic treatment of the first order D=11 supergravity action when A_3 is composite. Our considerations on the composite structure of A_3 provide one more application of the idea that there exists an extended superspace coordinates/fields correspondence. They also suggest that there is a possible embedding of D=11 supergravity into a theory defined on the enlarged superspace ${\tilde{\Sigma}}^{(528|32+32)}(s)$. |
1706.06292 | Dongmin Gang | Dongmin Gang, Yuji Tachikawa and Kazuya Yonekura | Smallest 3d hyperbolic manifolds via simple 3d theories | 4 pages, 1 figure | Phys. Rev. D 96, 061701 (2017) | 10.1103/PhysRevD.96.061701 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide strong pieces of evidence that the mathematics of the
three-dimensional hyperbolic manifolds of the first, second and third smallest
volume is captured by the physics of the three-dimensional theories composed of
a complex boson and a Dirac fermion, both of unit charge, coupled to a U(1)
gauge field with the Chern-Simons level $-5/2$, $-7/2$ and $-3/2$,
respectively.
| [
{
"created": "Tue, 20 Jun 2017 07:28:48 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Gang",
"Dongmin",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Yonekura",
"Kazuya",
""
]
] | We provide strong pieces of evidence that the mathematics of the three-dimensional hyperbolic manifolds of the first, second and third smallest volume is captured by the physics of the three-dimensional theories composed of a complex boson and a Dirac fermion, both of unit charge, coupled to a U(1) gauge field with the Chern-Simons level $-5/2$, $-7/2$ and $-3/2$, respectively. |
2008.09012 | Yui Hayashi | Yui Hayashi, Kei-Ichi Kondo | Effects of a quark chemical potential on the analytic structure of the
gluon propagator | 18 pages, 14 figures, final version published in PRD | Phys. Rev. D 103, 094006 (2021) | 10.1103/PhysRevD.103.094006 | CHIBA-EP-246 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform complex analyses of the gluon propagator at nonzero quark chemical
potential in the long-wavelength limit, using an effective model with a gluon
mass term of the Landau-gauge Yang-Mills theory, which is a Landau-gauge limit
of the Curci-Ferrari model with quantum corrections being included within the
one-loop level. We mainly investigate complex poles of the gluon propagator,
which could be relevant to confinement. Around typical values of the model
parameters, we show that the gluon propagator has one or two pairs of complex
conjugate poles depending on the value of the chemical potential. In addition
to a pair similar to that in the case of zero chemical potential, a new pair
appears near the real axis when the chemical potential is roughly between the
effective quark mass and the effective gluon mass of the model. We discuss
possible interpretations of these poles. Additionally, we prove the uniqueness
of analytic continuation of the Matsubara propagator to a class of functions
that vanish at infinity and are holomorphic except for a finite number of
complex poles and singularities on the real axis.
| [
{
"created": "Thu, 20 Aug 2020 15:00:31 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 2021 06:49:44 GMT",
"version": "v2"
}
] | 2021-05-24 | [
[
"Hayashi",
"Yui",
""
],
[
"Kondo",
"Kei-Ichi",
""
]
] | We perform complex analyses of the gluon propagator at nonzero quark chemical potential in the long-wavelength limit, using an effective model with a gluon mass term of the Landau-gauge Yang-Mills theory, which is a Landau-gauge limit of the Curci-Ferrari model with quantum corrections being included within the one-loop level. We mainly investigate complex poles of the gluon propagator, which could be relevant to confinement. Around typical values of the model parameters, we show that the gluon propagator has one or two pairs of complex conjugate poles depending on the value of the chemical potential. In addition to a pair similar to that in the case of zero chemical potential, a new pair appears near the real axis when the chemical potential is roughly between the effective quark mass and the effective gluon mass of the model. We discuss possible interpretations of these poles. Additionally, we prove the uniqueness of analytic continuation of the Matsubara propagator to a class of functions that vanish at infinity and are holomorphic except for a finite number of complex poles and singularities on the real axis. |
2403.10513 | Arhum Ansari | Arhum Ansari, Pinak Banerjee, Prateksh Dhivakar, Sachin Jain, Nilay
Kundu | Inflationary non-Gaussianities in alpha vacua and consistency with
conformal symmetries | 40 pages + appendices; 2 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the conformal invariance of inflationary non-Gaussianities
associated with scalar fluctuations in a non-Bunch-Davies initial state, known
as the $\alpha$-vacuum, in single-field slow-roll inflation. The
$\alpha$-vacuum is a one-parameter family of states, including the Bunch-Davies
one, that preserves the conformal symmetry of inflationary dynamics in a nearly
de-Sitter space-time. Working within the leading slow-roll approximation, we
compute the four-point scalar correlator (the trispectrum) in $\alpha$-vacuum
using the in-in formalism. We check that the conformal Ward identities are met
between the three and four-point scalar $\alpha$-vacua correlators.
Surprisingly, this contrasts the previously reported negative result of the
Ward identities being violated between the two and the three-point correlators.
We have also extended the wave-functional method, previously used for
correlators with Bunch-Davies initial condition, to compute the three and
four-point scalar correlators in $\alpha$-vacua. The results obtained from the
wave-function method match the corresponding in-in results, adding further
justification to our check of Ward identities with $\alpha$-vacua correlators.
| [
{
"created": "Fri, 15 Mar 2024 17:53:26 GMT",
"version": "v1"
}
] | 2024-03-18 | [
[
"Ansari",
"Arhum",
""
],
[
"Banerjee",
"Pinak",
""
],
[
"Dhivakar",
"Prateksh",
""
],
[
"Jain",
"Sachin",
""
],
[
"Kundu",
"Nilay",
""
]
] | We study the conformal invariance of inflationary non-Gaussianities associated with scalar fluctuations in a non-Bunch-Davies initial state, known as the $\alpha$-vacuum, in single-field slow-roll inflation. The $\alpha$-vacuum is a one-parameter family of states, including the Bunch-Davies one, that preserves the conformal symmetry of inflationary dynamics in a nearly de-Sitter space-time. Working within the leading slow-roll approximation, we compute the four-point scalar correlator (the trispectrum) in $\alpha$-vacuum using the in-in formalism. We check that the conformal Ward identities are met between the three and four-point scalar $\alpha$-vacua correlators. Surprisingly, this contrasts the previously reported negative result of the Ward identities being violated between the two and the three-point correlators. We have also extended the wave-functional method, previously used for correlators with Bunch-Davies initial condition, to compute the three and four-point scalar correlators in $\alpha$-vacua. The results obtained from the wave-function method match the corresponding in-in results, adding further justification to our check of Ward identities with $\alpha$-vacua correlators. |
2206.12597 | Roberto Oliveri | Geoffrey Comp\`ere, Roberto Oliveri, Ali Seraj | Metric reconstruction from celestial multipoles | v1: 25 pages; v2: text improved, references added, sec.3
"Gravitational electric-magnetic duality" expanded, matches published version
in JHEP | null | 10.1007/JHEP11(2022)001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The most general vacuum solution to Einstein's field equations with no
incoming radiation can be constructed perturbatively from two infinite sets of
canonical multipole moments, which are found to be mapped into each other under
gravitational electric-magnetic duality at the non-linear level. We demonstrate
that in non-radiative regions such spacetimes are completely characterized by a
set of conserved celestial charges that consist of the Geroch-Hansen multipole
moments, the generalized BMS charges and additional celestial multipoles
accounting for subleading memory effects. Transitions among non-radiative
regions, induced by radiative processes, are therefore labelled by celestial
charges, which are identified in terms of canonical multipole moments of the
linearized gravitational field. The dictionary between celestial charges and
canonical multipole moments allows to holographically reconstruct the metric in
de Donder, Newman-Unti or Bondi gauge outside of sources.
| [
{
"created": "Sat, 25 Jun 2022 08:38:23 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2022 09:41:36 GMT",
"version": "v2"
}
] | 2022-11-07 | [
[
"Compère",
"Geoffrey",
""
],
[
"Oliveri",
"Roberto",
""
],
[
"Seraj",
"Ali",
""
]
] | The most general vacuum solution to Einstein's field equations with no incoming radiation can be constructed perturbatively from two infinite sets of canonical multipole moments, which are found to be mapped into each other under gravitational electric-magnetic duality at the non-linear level. We demonstrate that in non-radiative regions such spacetimes are completely characterized by a set of conserved celestial charges that consist of the Geroch-Hansen multipole moments, the generalized BMS charges and additional celestial multipoles accounting for subleading memory effects. Transitions among non-radiative regions, induced by radiative processes, are therefore labelled by celestial charges, which are identified in terms of canonical multipole moments of the linearized gravitational field. The dictionary between celestial charges and canonical multipole moments allows to holographically reconstruct the metric in de Donder, Newman-Unti or Bondi gauge outside of sources. |
2211.05907 | Joel Karlsson | Nikolay Bobev, Thomas Hertog, Junho Hong, Joel Karlsson, and Valentin
Reys | Microscopics of de Sitter Entropy from Precision Holography | 11 pages; v2: additional comments included | Phys. Rev. X 13, 041056 (2023) | 10.1103/PhysRevX.13.041056 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We calculate quantum corrections to the entropy of four-dimensional de Sitter
space induced by higher-derivative terms in the gravitational action and by
one-loop effects. Employing the intertwinement in semiclassical gravity of
Euclidean de Sitter and anti-de Sitter saddles, we embed effective de Sitter
gravity theories in M-theory and express the entropy in terms of the
regularized Euclidean anti-de Sitter action on an auxiliary $\mathrm{EAdS}_4
\times S^7/\mathbb{Z}_k$ background. We conjecture that the partition function
of the holographically dual 3d ABJM CFT determines the explicit form of the
corrections to the de Sitter entropy. This includes a logarithmic term, the
coefficient of which, we show, agrees with an independent one-loop calculation
around the $-S^4 \times S^7/\mathbb{Z}_k$ Euclidean de Sitter saddle. This
provides evidence that the microscopic degrees of freedom behind the entropy of
four-dimensional de Sitter space in gravitational theories with a holographic
dual description are encapsulated by the path integral of the Euclidean CFT on
the three-sphere.
| [
{
"created": "Thu, 10 Nov 2022 22:40:48 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2024 15:25:12 GMT",
"version": "v2"
}
] | 2024-02-12 | [
[
"Bobev",
"Nikolay",
""
],
[
"Hertog",
"Thomas",
""
],
[
"Hong",
"Junho",
""
],
[
"Karlsson",
"Joel",
""
],
[
"Reys",
"Valentin",
""
]
] | We calculate quantum corrections to the entropy of four-dimensional de Sitter space induced by higher-derivative terms in the gravitational action and by one-loop effects. Employing the intertwinement in semiclassical gravity of Euclidean de Sitter and anti-de Sitter saddles, we embed effective de Sitter gravity theories in M-theory and express the entropy in terms of the regularized Euclidean anti-de Sitter action on an auxiliary $\mathrm{EAdS}_4 \times S^7/\mathbb{Z}_k$ background. We conjecture that the partition function of the holographically dual 3d ABJM CFT determines the explicit form of the corrections to the de Sitter entropy. This includes a logarithmic term, the coefficient of which, we show, agrees with an independent one-loop calculation around the $-S^4 \times S^7/\mathbb{Z}_k$ Euclidean de Sitter saddle. This provides evidence that the microscopic degrees of freedom behind the entropy of four-dimensional de Sitter space in gravitational theories with a holographic dual description are encapsulated by the path integral of the Euclidean CFT on the three-sphere. |
2008.10920 | Prasanta K. Tripathy | Ankit Anand and Prasanta K. Tripathy | Self-supporting wormholes with massive vector field | 20 pages, 3 figures | Phys. Rev. D 102, 126016 (2020) | 10.1103/PhysRevD.102.126016 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider a massive vector field in the background of a
space-time obtained by certain Z2 quotient of the BTZ black hole. We analyse
the back reaction of the matter field on the space-time geometry up to first
order in metric perturbation. The expectation value of the stress-energy tensor
can be computed exactly by considering its pull-back onto the covering space.
Upon a suitable choice of the boundary condition on the vector field around a
non-contractible cycle of the quotient manifold it is possible to obtain the
average energy on a null geodesic to be negative there by resulting a
traversable wormhole.
| [
{
"created": "Tue, 25 Aug 2020 10:04:42 GMT",
"version": "v1"
}
] | 2021-01-04 | [
[
"Anand",
"Ankit",
""
],
[
"Tripathy",
"Prasanta K.",
""
]
] | In this paper we consider a massive vector field in the background of a space-time obtained by certain Z2 quotient of the BTZ black hole. We analyse the back reaction of the matter field on the space-time geometry up to first order in metric perturbation. The expectation value of the stress-energy tensor can be computed exactly by considering its pull-back onto the covering space. Upon a suitable choice of the boundary condition on the vector field around a non-contractible cycle of the quotient manifold it is possible to obtain the average energy on a null geodesic to be negative there by resulting a traversable wormhole. |
2006.06025 | Max Guillen | Diego Garc\'ia Sep\'ulveda and Max Guillen | A Pure Spinor Twistor Description of Ambitwistor Strings | 23 pages. Abstract and Discussions updated. Section 2 extended, and
minor revisions in sections 3 and 4 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a novel ten-dimensional description of ambitwistor strings. This
formulation is based on a set of supertwistor variables involving pure spinors
and a set of constraints previously introduced in the context of the $D=10$
superparticle following a ten-dimensional twistor-like construction introduced
by Berkovits. We perform a detailed quantum-mechanical analysis of the
constraint algebra, we show that the corresponding central charges vanish, and
after considering a convenient gauge fixing procedure, physical states are
found. Vertex operators are explicitly constructed and, by noticing a relation
with the standard pure spinor formalism, scattering amplitudes are shown to
correctly describe $D=10$ super-Yang-Mills interactions. As in other
ambitwistor string models, amplitudes are found to be localized on the support
of the scattering equations, and thus this work provides a bridge between
Berkovits' construction and the Cachazo-He-Yuan formulae. After extending the
pure spinor twistor transform to include an additional supersymmetry, our
results are immediately generalized to Type IIB supergravity.
| [
{
"created": "Wed, 10 Jun 2020 18:25:47 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2020 22:17:45 GMT",
"version": "v2"
}
] | 2020-11-04 | [
[
"Sepúlveda",
"Diego García",
""
],
[
"Guillen",
"Max",
""
]
] | We present a novel ten-dimensional description of ambitwistor strings. This formulation is based on a set of supertwistor variables involving pure spinors and a set of constraints previously introduced in the context of the $D=10$ superparticle following a ten-dimensional twistor-like construction introduced by Berkovits. We perform a detailed quantum-mechanical analysis of the constraint algebra, we show that the corresponding central charges vanish, and after considering a convenient gauge fixing procedure, physical states are found. Vertex operators are explicitly constructed and, by noticing a relation with the standard pure spinor formalism, scattering amplitudes are shown to correctly describe $D=10$ super-Yang-Mills interactions. As in other ambitwistor string models, amplitudes are found to be localized on the support of the scattering equations, and thus this work provides a bridge between Berkovits' construction and the Cachazo-He-Yuan formulae. After extending the pure spinor twistor transform to include an additional supersymmetry, our results are immediately generalized to Type IIB supergravity. |
hep-th/0211162 | null | Takuhiro Kitao | Type IIB 2-form Fields and Gauge Coupling Constant of 4D N=2 super QCD | 45 pages, 5 figures, final version for publication | Eur.Phys.J. C30 (2003) 547-566 | 10.1140/epjc/s2003-01312-4 | null | hep-th | null | We study the relation between the Type IIB (NSNS and RR) 2-form fields and
the (complex) gauge coupling constant of the 4D N=2 SU(Nc) super Yang-Mills
theory with Nf fundamental matters. We start from the analysis of the D2-brane
world volume theory with heavy Nc quarks on the Nf D6 supergravity background.
After a sequence of T- and S-dualities, we obtain the (generalized) 2-forms in
the configuration with Nc D5-branes wrapping on the vanishing two-cycle under
the influence of the background. These 2-forms shows the same behavior as the
gauge coupling constant of the 4D N=2 super QCD. The background reduces to the
Z_{Nf} orbifold in the twelve-dimensional space-time formally realized by
introducing the two parameters as the additional space coordinates. The 10D
gravity dual is suggested as the 2D flip in this twelve-dimensional space-time.
In the case of Nf=2Nc, this gravity dual becomes AdS_5 \times S^5/Z_2 with
D3-charge which depends on the constant generalized NSNS 2-form. This is the
result expected from the M-theory QCD configuration. Based on the known exact
result, we also discuss this configuration after including the nonperturbative
effect.
| [
{
"created": "Mon, 18 Nov 2002 15:48:51 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2003 19:16:33 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Jul 2003 10:37:34 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kitao",
"Takuhiro",
""
]
] | We study the relation between the Type IIB (NSNS and RR) 2-form fields and the (complex) gauge coupling constant of the 4D N=2 SU(Nc) super Yang-Mills theory with Nf fundamental matters. We start from the analysis of the D2-brane world volume theory with heavy Nc quarks on the Nf D6 supergravity background. After a sequence of T- and S-dualities, we obtain the (generalized) 2-forms in the configuration with Nc D5-branes wrapping on the vanishing two-cycle under the influence of the background. These 2-forms shows the same behavior as the gauge coupling constant of the 4D N=2 super QCD. The background reduces to the Z_{Nf} orbifold in the twelve-dimensional space-time formally realized by introducing the two parameters as the additional space coordinates. The 10D gravity dual is suggested as the 2D flip in this twelve-dimensional space-time. In the case of Nf=2Nc, this gravity dual becomes AdS_5 \times S^5/Z_2 with D3-charge which depends on the constant generalized NSNS 2-form. This is the result expected from the M-theory QCD configuration. Based on the known exact result, we also discuss this configuration after including the nonperturbative effect. |
hep-th/9306010 | Hidetoshi Awata | H. Awata, M. Noumi and S. Odake | Heisenberg realization for U_q(sln) on the flag manifold | 10 pages, YITP/K-1016, plain TEX (some mistakes corrected and a
reference added) | Lett.Math.Phys. 30 (1993) 35-44 | 10.1007/BF00761420 | null | hep-th | null | We give the Heisenberg realization for the quantum algebra $U_q(sl_n)$, which
is written by the $q$-difference operator on the flag manifold. We construct it
from the action of $U_q(sl_n)$ on the $q$-symmetric algebra $A_q(Mat_n)$ by the
Borel-Weil like approach. Our realization is applicable to the construction of
the free field realization for the $U_q(\widehat{sl_n})$ [AOS].
| [
{
"created": "Wed, 2 Jun 1993 05:58:08 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 1993 12:39:53 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Awata",
"H.",
""
],
[
"Noumi",
"M.",
""
],
[
"Odake",
"S.",
""
]
] | We give the Heisenberg realization for the quantum algebra $U_q(sl_n)$, which is written by the $q$-difference operator on the flag manifold. We construct it from the action of $U_q(sl_n)$ on the $q$-symmetric algebra $A_q(Mat_n)$ by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the $U_q(\widehat{sl_n})$ [AOS]. |
1606.07880 | Dibakar Roychowdhury | Dibakar Roychowdhury | Broken Lifshitz invariance, spin waves and hydrodynamics | Latex, 19 pages | Adv.High Energy Phys. 2019 (2019) 5356121 | 10.1155/2019/5356121 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, based on the basic principles of thermodynamics, we explore
the hydrodynamic regime of interacting Lifshitz field theories in the presence
of broken rotational invariance. We compute the entropy current and discover
new dissipative effects those are consistent with the principle of local
entropy production in the fluid. In our analysis, we consider both the parity
even as well as the parity odd sector upto first order in the derivative
expansion. Finally, we argue that the present construction of the paper could
be systematically identified as that of the hydrodynamic description associated
with \textit{spin waves} (away from the domain of quantum criticality) under
certain limiting conditions.
| [
{
"created": "Sat, 25 Jun 2016 08:09:01 GMT",
"version": "v1"
}
] | 2019-06-05 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | In this paper, based on the basic principles of thermodynamics, we explore the hydrodynamic regime of interacting Lifshitz field theories in the presence of broken rotational invariance. We compute the entropy current and discover new dissipative effects those are consistent with the principle of local entropy production in the fluid. In our analysis, we consider both the parity even as well as the parity odd sector upto first order in the derivative expansion. Finally, we argue that the present construction of the paper could be systematically identified as that of the hydrodynamic description associated with \textit{spin waves} (away from the domain of quantum criticality) under certain limiting conditions. |
2312.01139 | Qi-Xin Xie | Qi-Xin Xie, Paul M. Saffin, Anders Tranberg, Shuang-Yong Zhou | Quantum corrected Q-ball dynamics | 29 pages, 18 figures | null | null | USTC-ICTS/PCFT-23-37 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The physics of individual Q-balls and interactions between multiple Q-balls
are well-studied in classical numerical simulations. Interesting properties and
phenomena have been discovered, involving stability, forces, collisions and
swapping of charge between different components of multi-Q-ball systems. We
investigate these phenomena in quantum field theory, including quantum
corrections to leading order in a 2PI coupling expansion, the inhomogeneous
Hartree approximation. The presence of quantum modes and new decay channels
allows the mean-field Q-ball to exchange charge with the quantum modes, and
also alters the charge swapping frequencies of the composite Q-balls. It is
also observed that the periodic exchanges between the mean-field and quantum
modes tend to be quenched by collisions between Q-balls. We illustrate how the
classical limit arises through a scaling of the Q-ball potential, making
quantum corrections negligible for large-amplitude Q-balls.
| [
{
"created": "Sat, 2 Dec 2023 13:54:03 GMT",
"version": "v1"
}
] | 2023-12-05 | [
[
"Xie",
"Qi-Xin",
""
],
[
"Saffin",
"Paul M.",
""
],
[
"Tranberg",
"Anders",
""
],
[
"Zhou",
"Shuang-Yong",
""
]
] | The physics of individual Q-balls and interactions between multiple Q-balls are well-studied in classical numerical simulations. Interesting properties and phenomena have been discovered, involving stability, forces, collisions and swapping of charge between different components of multi-Q-ball systems. We investigate these phenomena in quantum field theory, including quantum corrections to leading order in a 2PI coupling expansion, the inhomogeneous Hartree approximation. The presence of quantum modes and new decay channels allows the mean-field Q-ball to exchange charge with the quantum modes, and also alters the charge swapping frequencies of the composite Q-balls. It is also observed that the periodic exchanges between the mean-field and quantum modes tend to be quenched by collisions between Q-balls. We illustrate how the classical limit arises through a scaling of the Q-ball potential, making quantum corrections negligible for large-amplitude Q-balls. |
2311.15774 | Wagner Oliveira dos Santos | W. Oliveira dos Santos, E. R. Bezerra de Mello | Induced current by a cosmic string and a brane in high-dimensional AdS
spacetime | 19 pages, 2 figures. Version accepted for publication in EPJC | null | 10.1140/epjc/s10052-024-12580-5 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper we investigate the bosonic current induced by a brane and a
magnetic flux running along the idealized cosmic string in a
$(D+1)$-dimensional anti-de Sitter (AdS) background. We consider the brane is
parallel to the AdS boundary and the cosmic string is orthogonal to them.
Moreover, we assume that on the brane the charged bosonic field obeys the Robin
boundary condition. The brane divides the space into two regions with different
properties of the vacuum state. We show that the only nonzero component of the
current density is along the azimuthal direction in both regions. In order to
develop this analysis we calculate, for both regions, the positive frequency
Wightman functions. Both functions present a part associated with the AdS in
presence of a cosmic string only, and the other part induced by the brane. In
this paper we consider only the contributions induced by the brane. We show
that in both regions the azimuthal current densities are odd functions of the
magnetic flux along the string. Different analytic and numerical analysis are
performed and an application of our results is provided for the Randall-Sundrum
braneworld model with a single brane.
| [
{
"created": "Mon, 27 Nov 2023 12:48:41 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2024 14:06:28 GMT",
"version": "v2"
}
] | 2024-03-08 | [
[
"Santos",
"W. Oliveira dos",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] | In this paper we investigate the bosonic current induced by a brane and a magnetic flux running along the idealized cosmic string in a $(D+1)$-dimensional anti-de Sitter (AdS) background. We consider the brane is parallel to the AdS boundary and the cosmic string is orthogonal to them. Moreover, we assume that on the brane the charged bosonic field obeys the Robin boundary condition. The brane divides the space into two regions with different properties of the vacuum state. We show that the only nonzero component of the current density is along the azimuthal direction in both regions. In order to develop this analysis we calculate, for both regions, the positive frequency Wightman functions. Both functions present a part associated with the AdS in presence of a cosmic string only, and the other part induced by the brane. In this paper we consider only the contributions induced by the brane. We show that in both regions the azimuthal current densities are odd functions of the magnetic flux along the string. Different analytic and numerical analysis are performed and an application of our results is provided for the Randall-Sundrum braneworld model with a single brane. |
hep-th/0101211 | Masatoshi Nozaki | Yasuaki Hikida, Masatoshi Nozaki and Yuji Sugawara | Formation of Spherical D2-brane from Multiple D0-branes | 36 pages, no figure, v2: typos corrected, references added, v3: minor
corrections, some discussions added in Sec. 2, v4: references added, v5:
appendix added, accepted for publication in Nuclear Physics B | Nucl.Phys. B617 (2001) 117-150 | 10.1016/S0550-3213(01)00473-4 | UT-922 | hep-th | null | We study D-branes in SU(2) WZW model by means of the boundary state
techniques. We realize the ``fuzzy sphere'' configuration of multiple D0-branes
as the boundary state with the insertion of suitable Wilson line. By making use
of the path-integral representation we show that this boundary state preserves
the appropriate boundary conditions and leads to the Cardy state describing a
spherical D2-brane under the semi-classical approximation. This result directly
implies that the spherical D2-brane in SU(2) WZW model can be well described as
the bound state of D0-branes.
After presenting the supersymmetric extension, we also investigate the BPS
and the non-BPS configurations of D-branes in the NS5 background. We
demonstrate that the non-BPS configurations are actually unstable, since they
always possess the open string tachyons. We further notice that the stable BPS
bound state constructed by the tachyon condensation is naturally interpreted as
the brane configuration of fuzzy sphere.
| [
{
"created": "Tue, 30 Jan 2001 13:27:53 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 2001 07:26:00 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Feb 2001 06:50:23 GMT",
"version": "v3"
},
{
"created": "Fri, 23 Mar 2001 08:43:46 GMT",
"version": "v4"
},
{
"created": "Wed, 26 Sep 2001 06:21:00 GMT",
"version": "v5"
}
] | 2009-11-07 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Nozaki",
"Masatoshi",
""
],
[
"Sugawara",
"Yuji",
""
]
] | We study D-branes in SU(2) WZW model by means of the boundary state techniques. We realize the ``fuzzy sphere'' configuration of multiple D0-branes as the boundary state with the insertion of suitable Wilson line. By making use of the path-integral representation we show that this boundary state preserves the appropriate boundary conditions and leads to the Cardy state describing a spherical D2-brane under the semi-classical approximation. This result directly implies that the spherical D2-brane in SU(2) WZW model can be well described as the bound state of D0-branes. After presenting the supersymmetric extension, we also investigate the BPS and the non-BPS configurations of D-branes in the NS5 background. We demonstrate that the non-BPS configurations are actually unstable, since they always possess the open string tachyons. We further notice that the stable BPS bound state constructed by the tachyon condensation is naturally interpreted as the brane configuration of fuzzy sphere. |
hep-th/9908013 | Tian-Jun Li | Tianjun Li | Scale, Gauge Couplings, Soft Terms and Toy Compactification in M-theory
on $S^1/Z_2$ | 28 pages, latex, 11 figures, version to appear in Nucl. Phys. B | Nucl.Phys. B564 (2000) 441-468 | 10.1016/S0550-3213(99)00602-1 | null | hep-th hep-ph | null | In M-theory on $S^1/Z_2$, we point out that to be consistant, we should keep
the scale, gauge couplings and soft terms at next order, and obtain the soft
term relations: $M_{1/2} = -A$, $|{{M_{0}}/{M_{1/2}}}| \leq {1/{\sqrt 3}}$ in
the standard embedding and $M_{1/2}=-A$ in the non-standard embedding with five
branes and $K_{5,n}=0$. We construct a toy compactification model which
includes higher order terms in 4-dimensional Lagrangian in standard embedding,
and discuss its scale, gauge couplings, soft terms, and show that the higher
order terms do affect the scale, gauge couplings and especially the soft terms
if the next order correction was not small. We also construct a toy
compactification model in non-standard embedding with five branes and discuss
its phenomenology. We argue that one might not push the physical Calabi-Yau
manifold's volume to zero at any point along the eleventh dimension.
| [
{
"created": "Mon, 2 Aug 1999 17:10:02 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 1999 20:36:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Li",
"Tianjun",
""
]
] | In M-theory on $S^1/Z_2$, we point out that to be consistant, we should keep the scale, gauge couplings and soft terms at next order, and obtain the soft term relations: $M_{1/2} = -A$, $|{{M_{0}}/{M_{1/2}}}| \leq {1/{\sqrt 3}}$ in the standard embedding and $M_{1/2}=-A$ in the non-standard embedding with five branes and $K_{5,n}=0$. We construct a toy compactification model which includes higher order terms in 4-dimensional Lagrangian in standard embedding, and discuss its scale, gauge couplings, soft terms, and show that the higher order terms do affect the scale, gauge couplings and especially the soft terms if the next order correction was not small. We also construct a toy compactification model in non-standard embedding with five branes and discuss its phenomenology. We argue that one might not push the physical Calabi-Yau manifold's volume to zero at any point along the eleventh dimension. |
0802.1672 | Cosmas Zachos | Christopher T. Hill and Cosmas K. Zachos | Chern-Simons and WZW Anomaly Cancelations Across Dimensions | 6 pages, ReVtex 4, no figures | Annals Phys.323:3065-3073,2008 | 10.1016/j.aop.2008.08.009 | FERMILAB-Pub-08-027-T, ANL-HEP-PR-08-8 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The WZW functional in D=4 can be derived directly from the Chern-Simons
functional of a compactified D=5 gauge theory and the boundary fermions it
supplants. A simple pedagogical model based on U(1) gauge groups illustrates
how this works. A bulk-boundary system with the fermions eliminated manifestly
evinces anomaly cancelations between CS and WZW terms.
| [
{
"created": "Tue, 12 Feb 2008 17:07:47 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Hill",
"Christopher T.",
""
],
[
"Zachos",
"Cosmas K.",
""
]
] | The WZW functional in D=4 can be derived directly from the Chern-Simons functional of a compactified D=5 gauge theory and the boundary fermions it supplants. A simple pedagogical model based on U(1) gauge groups illustrates how this works. A bulk-boundary system with the fermions eliminated manifestly evinces anomaly cancelations between CS and WZW terms. |
hep-th/9606017 | Nathan Seiberg | Nathan Seiberg | IR Dynamics on Branes and Space-Time Geometry | 8 pages, uses harvmac, one reference added | Phys.Lett.B384:81-85,1996 | 10.1016/0370-2693(96)00819-2 | RU-96-46 | hep-th | null | We consider the type I theory compactified on $T^3$. When the D5-brane wraps
the $T^3$ it yields a D2-brane in seven dimensions. In the leading
approximation the moduli space of vacua of the three dimensional field theory
on the brane is $T^4/\ZZ_2$. The dual M theory description of this theory is a
compactification on K3 and our 2-brane is the eleven dimensional 2-brane at a
point in K3. We use this fact to conclude that strong coupling IR effects in
the three dimensional theory on the brane turn its moduli space into a K3. This
interpretation allows us to solve various strongly coupled gauge theories in
three dimensions by identifying their Coulomb branch with a piece of a
(sometime singular) K3.
| [
{
"created": "Tue, 4 Jun 1996 21:08:09 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 1996 13:22:53 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Seiberg",
"Nathan",
""
]
] | We consider the type I theory compactified on $T^3$. When the D5-brane wraps the $T^3$ it yields a D2-brane in seven dimensions. In the leading approximation the moduli space of vacua of the three dimensional field theory on the brane is $T^4/\ZZ_2$. The dual M theory description of this theory is a compactification on K3 and our 2-brane is the eleven dimensional 2-brane at a point in K3. We use this fact to conclude that strong coupling IR effects in the three dimensional theory on the brane turn its moduli space into a K3. This interpretation allows us to solve various strongly coupled gauge theories in three dimensions by identifying their Coulomb branch with a piece of a (sometime singular) K3. |
hep-th/0606285 | Andre Lukas | Lara B Anderson, Adam B Barrett, Andre Lukas and Masahiro Yamaguchi | Four-dimensional Effective M-theory on a Singular G_2 Manifold | 34 pages, Latex, v2 typos corrected | Phys.Rev.D74:086008,2006 | 10.1103/PhysRevD.74.086008 | null | hep-th | null | We reduce M-theory on a G_2 orbifold with co-dimension four singularities,
taking explicitly into account the additional gauge fields at the
singularities. As a starting point, we use 11-dimensional supergravity coupled
to seven-dimensional super-Yang-Mills theory, as derived in a previous paper.
The resulting four-dimensional theory has N=1 supersymmetry with non-Abelian
N=4 gauge theory sub-sectors. We present explicit formulae for the Kahler
potential, gauge-kinetic function and superpotential. In the four-dimensional
theory, blowing-up of the orbifold is described by a Higgs effect induced by
continuation along D-flat directions. Using this interpretation, we show that
our results are consistent with the corresponding ones obtained for smooth G_2
spaces. In addition, we consider the effects of switching on flux and Wilson
lines on singular loci of the G_2 space, and we discuss the relation to N=4 SYM
theory.
| [
{
"created": "Fri, 30 Jun 2006 15:49:07 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2006 11:25:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Anderson",
"Lara B",
""
],
[
"Barrett",
"Adam B",
""
],
[
"Lukas",
"Andre",
""
],
[
"Yamaguchi",
"Masahiro",
""
]
] | We reduce M-theory on a G_2 orbifold with co-dimension four singularities, taking explicitly into account the additional gauge fields at the singularities. As a starting point, we use 11-dimensional supergravity coupled to seven-dimensional super-Yang-Mills theory, as derived in a previous paper. The resulting four-dimensional theory has N=1 supersymmetry with non-Abelian N=4 gauge theory sub-sectors. We present explicit formulae for the Kahler potential, gauge-kinetic function and superpotential. In the four-dimensional theory, blowing-up of the orbifold is described by a Higgs effect induced by continuation along D-flat directions. Using this interpretation, we show that our results are consistent with the corresponding ones obtained for smooth G_2 spaces. In addition, we consider the effects of switching on flux and Wilson lines on singular loci of the G_2 space, and we discuss the relation to N=4 SYM theory. |
hep-th/9712077 | Vijay Balasubramanian | V. Balasubramanian, R. Gopakumar and F. Larsen | Gauge Theory, Geometry and the Large N Limit | LaTeX, 17 pages, 1 figure, references added, shorter version to
appear in Nucl. Phys. B | Nucl.Phys. B526 (1998) 415-431 | 10.1016/S0550-3213(98)00377-0 | HUTP-97/A095, UCSB-97-24, UPR-778-T | hep-th | null | We study the relationship between M theory on a nearly lightlike circle and
U(N) gauge theory in p+1 dimensions. We define large N limits of these theories
in which low energy supergravity is valid. The regularity of these limits
implies an infinite series of nonrenormalization theorems for the gauge theory
effective action, and the leading large N terms sum to a Born-Infeld form.
Compatibility of two different large N limits that describe the same
decompactified M theory leads to a conjecture for a relation between two limits
of string theories.
| [
{
"created": "Sun, 7 Dec 1997 23:16:20 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 1997 18:58:36 GMT",
"version": "v2"
},
{
"created": "Mon, 18 May 1998 13:16:59 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Balasubramanian",
"V.",
""
],
[
"Gopakumar",
"R.",
""
],
[
"Larsen",
"F.",
""
]
] | We study the relationship between M theory on a nearly lightlike circle and U(N) gauge theory in p+1 dimensions. We define large N limits of these theories in which low energy supergravity is valid. The regularity of these limits implies an infinite series of nonrenormalization theorems for the gauge theory effective action, and the leading large N terms sum to a Born-Infeld form. Compatibility of two different large N limits that describe the same decompactified M theory leads to a conjecture for a relation between two limits of string theories. |
hep-th/0103204 | H. W. Braden | H. W. Braden and N. A. Nekrasov | Instantons, Hilbert Schemes and Integrability | 21 pages, 2 figures | null | null | null | hep-th | null | We review the deformed instanton equations making connection with Hilbert
schemes and integrable systems. A single U(1) instanton is shown to be \asd\
with respect to the Burns metric.
| [
{
"created": "Fri, 23 Mar 2001 16:52:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Braden",
"H. W.",
""
],
[
"Nekrasov",
"N. A.",
""
]
] | We review the deformed instanton equations making connection with Hilbert schemes and integrable systems. A single U(1) instanton is shown to be \asd\ with respect to the Burns metric. |
0811.0367 | Semyon Klevtsov | Michael R. Douglas, Semyon Klevtsov | Black holes and balanced metrics | 15 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a probe in a BPS black hole in type II strings compactified on
Calabi-Yau manifolds, and conjecture that its moduli space metric is the
balanced metric.
| [
{
"created": "Mon, 3 Nov 2008 19:01:35 GMT",
"version": "v1"
}
] | 2008-11-04 | [
[
"Douglas",
"Michael R.",
""
],
[
"Klevtsov",
"Semyon",
""
]
] | We consider a probe in a BPS black hole in type II strings compactified on Calabi-Yau manifolds, and conjecture that its moduli space metric is the balanced metric. |
hep-th/0412128 | Daniel Luiz Nedel | M. C. B. Abdalla, A. L. Gadelha and Daniel L. Nedel | General Unitary TFD Formulation for Superstrings | 9 pages, revitex4, minor corrections. Contribution to Fourth
International Winter Conference on Mathematical Methods in Physics, 09 - 13
August 2004, Centro Brasileiro de Pesquisas Fisicas (CBPF/MCT), Rio de
Janeiro, Brazil | PoS WC2004 (2004) 032 | null | null | hep-th | null | A generalization of the Thermo Field Dynamics (TFD) for fermionic degrees of
freedom is proposed. Such a generalization follows a previous one where the
SU(1,1) thermal group was used to obtain the closed bosonic string at finite
temperature. The SU(2) thermal group is introduced to construct a general
thermal Bogoliubov transformation to get the type IIB superstring at finite
temperature.
| [
{
"created": "Mon, 13 Dec 2004 19:25:29 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 2004 16:23:45 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Dec 2004 14:14:36 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Abdalla",
"M. C. B.",
""
],
[
"Gadelha",
"A. L.",
""
],
[
"Nedel",
"Daniel L.",
""
]
] | A generalization of the Thermo Field Dynamics (TFD) for fermionic degrees of freedom is proposed. Such a generalization follows a previous one where the SU(1,1) thermal group was used to obtain the closed bosonic string at finite temperature. The SU(2) thermal group is introduced to construct a general thermal Bogoliubov transformation to get the type IIB superstring at finite temperature. |
1712.06946 | Renjan Rajan John | S. K. Ashok, M. Billo, E. Dell'Aquila, M. Frau, V. Gupta, R. R. John,
and A. Lerda | Surface operators in 5d gauge theories and duality relations | 39 pages. v2: A few sentences rephrased, references added, and typos
corrected. Matches version published in JHEP | JHEP 05 (2018) 046 | 10.1007/JHEP05(2018)046 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study half-BPS surface operators in 5d N=1 gauge theories compactified on
a circle. Using localization methods and the twisted chiral ring relations of
coupled 3d/5d quiver gauge theories, we calculate the twisted chiral
superpotential that governs the infrared properties of these surface operators.
We make a detailed analysis of the localization integrand, and by comparing
with the results from the twisted chiral ring equations obtain constraints on
the 3d and 5d Chern-Simons levels so that the instanton partition function does
not depend on the choice of integration contour. For these values of the
Chern-Simons couplings, we comment on how the distinct quiver theories that
realize the same surface operator are related to each other by Aharony-Seiberg
dualities.
| [
{
"created": "Tue, 19 Dec 2017 14:29:49 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2018 10:24:20 GMT",
"version": "v2"
}
] | 2019-08-09 | [
[
"Ashok",
"S. K.",
""
],
[
"Billo",
"M.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Frau",
"M.",
""
],
[
"Gupta",
"V.",
""
],
[
"John",
"R. R.",
""
],
[
"Lerda",
"A.",
""
]
] | We study half-BPS surface operators in 5d N=1 gauge theories compactified on a circle. Using localization methods and the twisted chiral ring relations of coupled 3d/5d quiver gauge theories, we calculate the twisted chiral superpotential that governs the infrared properties of these surface operators. We make a detailed analysis of the localization integrand, and by comparing with the results from the twisted chiral ring equations obtain constraints on the 3d and 5d Chern-Simons levels so that the instanton partition function does not depend on the choice of integration contour. For these values of the Chern-Simons couplings, we comment on how the distinct quiver theories that realize the same surface operator are related to each other by Aharony-Seiberg dualities. |
hep-th/0105008 | James T. Liu | M. J. Duff, James T. Liu and H. Sati | Quantum M^2 -> 2Lambda/3 discontinuity for massive gravity with a Lambda
term | 8 pages, REVTeX | Phys.Lett. B516 (2001) 156-160 | 10.1016/S0370-2693(01)00909-1 | MCTP-01-18 | hep-th gr-qc | null | In a previous paper we showed that the absence of the van
Dam-Veltman-Zakharov discontinuity as M^2 -> 0 for massive spin-2 with a Lambda
term is an artifact of the tree approximation, and that the discontinuity
reappears at one loop, as a result of going from five degrees of freedom to
two. In this paper we show that a similar classical continuity but quantum
discontinuity arises in the "partially massless" limit M^2 -> 2Lambda/3, as a
result of going from five degrees of freedom to four.
| [
{
"created": "Tue, 1 May 2001 22:49:25 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Duff",
"M. J.",
""
],
[
"Liu",
"James T.",
""
],
[
"Sati",
"H.",
""
]
] | In a previous paper we showed that the absence of the van Dam-Veltman-Zakharov discontinuity as M^2 -> 0 for massive spin-2 with a Lambda term is an artifact of the tree approximation, and that the discontinuity reappears at one loop, as a result of going from five degrees of freedom to two. In this paper we show that a similar classical continuity but quantum discontinuity arises in the "partially massless" limit M^2 -> 2Lambda/3, as a result of going from five degrees of freedom to four. |
hep-th/0312108 | Nina Kevlishvili | N.Kevlishvili, A.Khelashvili, T.Nadareishvili | Once Again On the Klein Paradox | null | null | null | null | hep-th | null | After the short survey of the Klein Paradox in 3-dimensional relativistic
equations, we present a detailed consideration of Dirac modified equation,
which follows by one particle infinite overweighting in Salpeter Equation. It
is shown, that the separation of angular variables and reduction to radial
equation is possible by using standard methods in momentum space. The kernel of
the obtained radial equation differs from that of spinless Salpeter equation in
bounded regular factor. That is why the equation has solutions of confined type
for infinitely increasing potential.
| [
{
"created": "Wed, 10 Dec 2003 10:18:16 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2004 08:38:42 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kevlishvili",
"N.",
""
],
[
"Khelashvili",
"A.",
""
],
[
"Nadareishvili",
"T.",
""
]
] | After the short survey of the Klein Paradox in 3-dimensional relativistic equations, we present a detailed consideration of Dirac modified equation, which follows by one particle infinite overweighting in Salpeter Equation. It is shown, that the separation of angular variables and reduction to radial equation is possible by using standard methods in momentum space. The kernel of the obtained radial equation differs from that of spinless Salpeter equation in bounded regular factor. That is why the equation has solutions of confined type for infinitely increasing potential. |
hep-th/9506186 | Peter Bantay | P. Bantay and P. Vecsernyes | Mapping Class Group Representations and Generalized Verlinde Formula | 10 pages, PlainTex, 1 figure appended | Int.J.Mod.Phys. A14 (1999) 1325-1336 | 10.1142/S0217751X99000683 | KL-TH 95/14 | hep-th | null | Unitary representations of centrally extended mapping class groups $\tilde
M_{g,1}, g\geq 1$ are given in terms of a rational Hopf algebra $H$, and a
related generalization of the Verlinde formula is presented. Formulae
expressing the traces of mapping class group elements in terms of the fusion
rules, quantum dimensions and statistics phases are proposed.
| [
{
"created": "Wed, 28 Jun 1995 14:01:14 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jul 1995 12:40:28 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Bantay",
"P.",
""
],
[
"Vecsernyes",
"P.",
""
]
] | Unitary representations of centrally extended mapping class groups $\tilde M_{g,1}, g\geq 1$ are given in terms of a rational Hopf algebra $H$, and a related generalization of the Verlinde formula is presented. Formulae expressing the traces of mapping class group elements in terms of the fusion rules, quantum dimensions and statistics phases are proposed. |
hep-th/9705044 | Ken Intriligator | Julie D. Blum and Kenneth Intriligator | New Phases of String Theory and 6d RG Fixed Points via Branes at
Orbifold Singularities | Harvmac, 28 pages, small typo corrected | Nucl.Phys.B506:199-222,1997 | 10.1016/S0550-3213(97)00449-5 | IASSNS-HEP-97/40 | hep-th | null | We discuss type II and type I branes at general ADE type orbifold
singularities. We show that there are new phases of type I or heterotic string
theory in six dimensions, involving extra tensor multiplets, which arise when
small instantons sit on orbifold singularities. The theories with extra tensor
multiplets are explicitly constructed via orientifolds. The world-volume
theories in type IIB or type I five-branes at orbifold singularities lead to
the existence of several infinite classes of six dimensional, interacting,
renormalization group fixed point theories.
| [
{
"created": "Wed, 7 May 1997 22:11:10 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 1997 16:43:58 GMT",
"version": "v2"
}
] | 2009-08-18 | [
[
"Blum",
"Julie D.",
""
],
[
"Intriligator",
"Kenneth",
""
]
] | We discuss type II and type I branes at general ADE type orbifold singularities. We show that there are new phases of type I or heterotic string theory in six dimensions, involving extra tensor multiplets, which arise when small instantons sit on orbifold singularities. The theories with extra tensor multiplets are explicitly constructed via orientifolds. The world-volume theories in type IIB or type I five-branes at orbifold singularities lead to the existence of several infinite classes of six dimensional, interacting, renormalization group fixed point theories. |
hep-th/9407019 | Ryusuke Endo | Ryusuke Endo | Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant
Gauge | 11 pages, latex, ITP-SB-94-31 | Class.Quant.Grav.12:1157-1164,1995 | 10.1088/0264-9381/12/5/007 | null | hep-th gr-qc | null | The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary
Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges
with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is
expressed by the spin-1/2 heat kernel. It is shown that the axial anomaly and
the one-loop divegence of the action are $\alpha$-independent, and that the
conformal anomaly has an $\alpha$-dependent total derivative term in
$d=2m\geq6$ dimensions.
| [
{
"created": "Tue, 5 Jul 1994 05:24:36 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Endo",
"Ryusuke",
""
]
] | The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is expressed by the spin-1/2 heat kernel. It is shown that the axial anomaly and the one-loop divegence of the action are $\alpha$-independent, and that the conformal anomaly has an $\alpha$-dependent total derivative term in $d=2m\geq6$ dimensions. |
hep-th/9902081 | Jeong-Hyuck Park | Jeong-Hyuck Park | A Study of a Non-Abelian Generalization of the Born-Infeld Action | 11 pages, three figures, LaTeX | Phys.Lett. B458 (1999) 471-476 | 10.1016/S0370-2693(99)00592-4 | DAMTP 98-157, APCTP-1999004 | hep-th | null | A new type of non-Abelian generalization of the Born-Infeld action is
proposed, in which the spacetime indices and group indices are combined. The
action is manifestly Lorentz and gauge invariant. In its power expansion, the
lowest order term is the Yang-Mills action and the second term corresponds to
the bosonic stringy correction to this action. Solutions of the Euler-Lagrange
equation for the SU(2) case are considered and we show that there exists an
instanton-like solution which has winding number one and finite action.
| [
{
"created": "Thu, 11 Feb 1999 10:29:54 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Park",
"Jeong-Hyuck",
""
]
] | A new type of non-Abelian generalization of the Born-Infeld action is proposed, in which the spacetime indices and group indices are combined. The action is manifestly Lorentz and gauge invariant. In its power expansion, the lowest order term is the Yang-Mills action and the second term corresponds to the bosonic stringy correction to this action. Solutions of the Euler-Lagrange equation for the SU(2) case are considered and we show that there exists an instanton-like solution which has winding number one and finite action. |
1511.04042 | Diego Rocha Granado | D. Dudal, D. R. Granado, T. G. Mertens | No inverse magnetic catalysis in the QCD hard and soft wall models | 48 pages. v2: corrected typos, added references and improved
discussion, in particular on the role of an extra relevant length scale and
on the magnetized background itself. v3: minor edits, version accepted for
publication in PhysRevD | Phys. Rev. D 93, 125004 (2016) | 10.1103/PhysRevD.93.125004 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the influence of an external magnetic field in
holographic QCD models where the backreaction is modeled in via an appropriate
choice of the background metric. We add a phenomenological soft wall dilaton to
incorporate better IR behavior (confinement). Elaborating on previous studies
conducted by [JHEP 1505 (2015) 121], we first discuss the Hawking-Page
transition, the dual of the deconfinement transition, as a function of the
magnetic field. We confirm that the critical deconfinement temperature can drop
with the magnetic field. Secondly, we study the quark condensate
holographically as a function of the applied magnetic field and demonstrate
that this model does not exhibit inverse magnetic catalysis at the level of the
chiral transition. The quest for a holographic QCD model that qualitatively
describes the inverse magnetic catalysis at finite temperature is thus still
open. Throughout this work, we pay special attention to the different
holographic parameters and we attempt to fix them by making the link to genuine
QCD as close as possible. This leads to several unanticipated and so far
overlooked complications (such as the relevance of an additional length scale
in the confined geometry) that we discuss in detail.
| [
{
"created": "Thu, 12 Nov 2015 20:09:23 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2016 13:44:36 GMT",
"version": "v2"
},
{
"created": "Tue, 31 May 2016 09:06:00 GMT",
"version": "v3"
}
] | 2016-06-08 | [
[
"Dudal",
"D.",
""
],
[
"Granado",
"D. R.",
""
],
[
"Mertens",
"T. G.",
""
]
] | In this paper, we study the influence of an external magnetic field in holographic QCD models where the backreaction is modeled in via an appropriate choice of the background metric. We add a phenomenological soft wall dilaton to incorporate better IR behavior (confinement). Elaborating on previous studies conducted by [JHEP 1505 (2015) 121], we first discuss the Hawking-Page transition, the dual of the deconfinement transition, as a function of the magnetic field. We confirm that the critical deconfinement temperature can drop with the magnetic field. Secondly, we study the quark condensate holographically as a function of the applied magnetic field and demonstrate that this model does not exhibit inverse magnetic catalysis at the level of the chiral transition. The quest for a holographic QCD model that qualitatively describes the inverse magnetic catalysis at finite temperature is thus still open. Throughout this work, we pay special attention to the different holographic parameters and we attempt to fix them by making the link to genuine QCD as close as possible. This leads to several unanticipated and so far overlooked complications (such as the relevance of an additional length scale in the confined geometry) that we discuss in detail. |
2004.00330 | Konstantin Stepanyantz | Alexander Kazantsev, Konstantin Stepanyantz | Two-loop renormalization of the matter superfields and finiteness of
${\cal N}=1$ supersymmetric gauge theories regularized by higher derivatives | 26 pages, 3 figures, two minor misprints corrected, the final version
to appear in JHEP | null | 10.1007/JHEP06(2020)108 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The two-loop anomalous dimension of the chiral matter superfields is
calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized
by higher covariant derivatives. We obtain both the anomalous dimension defined
in terms of the bare couplings, and the one defined in terms of the
renormalized couplings for an arbitrary renormalization prescription. For the
one-loop finite theories we find a simple relation between the higher
derivative regulators under which the anomalous dimension defined in terms of
the bare couplings vanishes in the considered approximation. In this case the
one-loop finite theory is also two-loop finite in the HD+MSL scheme. Using the
assumption that with the higher covariant derivative regularization the NSVZ
equation is satisfied for RGFs defined in terms of the bare couplings, we
construct the expression for the three-loop $\beta$-function. Again, the result
is written both for the $\beta$-function defined in terms of the bare couplings
and for the one defined in terms of the renormalized couplings for an arbitrary
renormalization prescription.
| [
{
"created": "Wed, 1 Apr 2020 10:40:56 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2020 12:16:38 GMT",
"version": "v2"
}
] | 2020-07-15 | [
[
"Kazantsev",
"Alexander",
""
],
[
"Stepanyantz",
"Konstantin",
""
]
] | The two-loop anomalous dimension of the chiral matter superfields is calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of the bare couplings, and the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. For the one-loop finite theories we find a simple relation between the higher derivative regulators under which the anomalous dimension defined in terms of the bare couplings vanishes in the considered approximation. In this case the one-loop finite theory is also two-loop finite in the HD+MSL scheme. Using the assumption that with the higher covariant derivative regularization the NSVZ equation is satisfied for RGFs defined in terms of the bare couplings, we construct the expression for the three-loop $\beta$-function. Again, the result is written both for the $\beta$-function defined in terms of the bare couplings and for the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. |
1210.2663 | Fedele Lizzi | M. A. Kurkov, Fedele Lizzi | Higgs-Dilaton Lagrangian from Spectral Regularization | null | Mod. Phys. Lett. A, Vol. 27, No. 35 (2012) 1250203 | 10.1142/S0217732312502033 | ICCUB-12-326 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we calculate the full Higgs-Dilaton action describing the Weyl
anomaly using the bosonic spectral action. This completes the work we started
in our previous paper (JHEP 1110 (2011) 001). We also clarify some issues
related to the dilaton and its role as collective modes of fermions under
bosonization.
| [
{
"created": "Tue, 9 Oct 2012 16:46:35 GMT",
"version": "v1"
}
] | 2012-11-01 | [
[
"Kurkov",
"M. A.",
""
],
[
"Lizzi",
"Fedele",
""
]
] | In this letter we calculate the full Higgs-Dilaton action describing the Weyl anomaly using the bosonic spectral action. This completes the work we started in our previous paper (JHEP 1110 (2011) 001). We also clarify some issues related to the dilaton and its role as collective modes of fermions under bosonization. |
1406.1659 | Mike Blake | Mike Blake, Aristomenis Donos | Quantum Critical Transport and the Hall Angle | v1: 16 pages, 2 figures, v2: references and a minor clarification
added, v3: 5 pages double column format, significant improvements in
presentation and discussion of results | Phys. Rev. Lett. 114, 021601 (2015) | 10.1103/PhysRevLett.114.021601 | DAMTP-2014-33 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we study the Hall conductivity in holographic models where
translational invariance is broken by a lattice. We show that generic
holographic theories will display a different temperature dependence in the
Hall angle as to the DC conductivity. Our results suggest a general mechanism
for obtaining an anomalous scaling of the Hall angle in strongly interacting
quantum critical systems.
| [
{
"created": "Fri, 6 Jun 2014 12:28:44 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 2014 11:52:35 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Mar 2015 10:54:45 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Blake",
"Mike",
""
],
[
"Donos",
"Aristomenis",
""
]
] | In this letter we study the Hall conductivity in holographic models where translational invariance is broken by a lattice. We show that generic holographic theories will display a different temperature dependence in the Hall angle as to the DC conductivity. Our results suggest a general mechanism for obtaining an anomalous scaling of the Hall angle in strongly interacting quantum critical systems. |
hep-th/9405018 | S. Pakuliak | S. Pakuliak and A. Perelomov | Relation Between Hyperelliptic Integrals | DFTUZ/94/07, LaTeX, 8 p. (misprints are corrected and two refferences
on the related papers are added) | Mod.Phys.Lett. A9 (1994) 1791-1798 | 10.1142/S0217732394001647 | null | hep-th | null | A simple property of the integrals over the hyperelliptic surfaces of
arbitrary genus is observed. Namely, the derivatives of these integrals with
respect to the branching points are given by the linear combination of the same
integrals. We check that this property is responsible for the solution to the
level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic
integrals.
| [
{
"created": "Tue, 3 May 1994 19:59:46 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 1994 12:43:19 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Pakuliak",
"S.",
""
],
[
"Perelomov",
"A.",
""
]
] | A simple property of the integrals over the hyperelliptic surfaces of arbitrary genus is observed. Namely, the derivatives of these integrals with respect to the branching points are given by the linear combination of the same integrals. We check that this property is responsible for the solution to the level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic integrals. |
0912.3524 | Timo Weigand | Thomas W. Grimm, Sven Krause, Timo Weigand | F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds | 22+12 pages; v2: minor clarifications on decoupling limit | JHEP 1007:037,2010 | 10.1007/JHEP07(2010)037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present compact three-generation F-theory GUT models meeting in particular
the constraints of D3-tadpole cancellation and D-term supersymmetry. To this
end we explicitly construct elliptically fibered Calabi-Yau fourfolds as
complete intersections in a toric ambient space. Toric methods enable us to
control the singular geometry of the SU(5) GUT model. The GUT brane wraps a
non-generic del Pezzo surface admitting GUT symmetry breaking via hypercharge
flux. It is contractible to a curve and we demonstrate the existence of a
consistent decoupling limit. We compute the Euler characteristic of the
singular Calabi-Yau fourfold to show that our three-generation flux solutions
obtained via the spectral cover construction are consistent with D3-tadpole
cancellation.
| [
{
"created": "Fri, 18 Dec 2009 14:41:53 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2009 22:28:57 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Krause",
"Sven",
""
],
[
"Weigand",
"Timo",
""
]
] | We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete intersections in a toric ambient space. Toric methods enable us to control the singular geometry of the SU(5) GUT model. The GUT brane wraps a non-generic del Pezzo surface admitting GUT symmetry breaking via hypercharge flux. It is contractible to a curve and we demonstrate the existence of a consistent decoupling limit. We compute the Euler characteristic of the singular Calabi-Yau fourfold to show that our three-generation flux solutions obtained via the spectral cover construction are consistent with D3-tadpole cancellation. |
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