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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2006.03588 | Joseph Tooby-Smith | B C Allanach, Ben Gripaios, Joseph Tooby-Smith | Anomaly cancellation with an extra gauge boson | 4 pages. v2: corrected typos, added clarifying comments and
mathematica script of solution in ancillary directory | Phys. Rev. Lett. 125, 161601 (2020) | 10.1103/PhysRevLett.125.161601 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many extensions of the Standard Model include an extra gauge boson, whose
couplings to fermions are constrained by the requirement that anomalies cancel.
We find a general solution to the resulting diophantine equations in the
plausible case where the chiral fermion content is that of the Standard Model
plus 3 right-handed neutrinos.
| [
{
"created": "Fri, 5 Jun 2020 17:59:01 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 2020 15:12:44 GMT",
"version": "v2"
}
] | 2020-10-21 | [
[
"Allanach",
"B C",
""
],
[
"Gripaios",
"Ben",
""
],
[
"Tooby-Smith",
"Joseph",
""
]
] | Many extensions of the Standard Model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel. We find a general solution to the resulting diophantine equations in the plausible case where the chiral fermion content is that of the Standard Model plus 3 right-handed neutrinos. |
2212.14829 | Igor Bandos | Igor Bandos and Unai D.M. Sarraga | Properties of multiple D0-brane system: 11D origin, equations of motion
and their solutions | 25 pages, revtex4-2. V2: a few references and comments added. V3:
minor corrections, published in PRD | null | 10.1103/PhysRevD.107.086006 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of 10D multiple D0-brane (mD0) system described by
recently proposed complete supersymmetric and $\kappa$-symmetric nonlinear
action which includes an arbitrary positive definite function ${\cal M}({\cal
H})$ of the relative motion Hamiltonian ${\cal H}$. First we show how the
action with a particular nonlinear ${\cal M}({\cal H})$ can be obtained from
the action for 11D multiple M-wave (multiple M0-brane or mM0) system. Then we
obtain the complete set of equations of motion of mD0 system with arbitrary
positive definite ${\cal M}({\cal H})$, perform a convenient gauge fixing,
solve the center of energy equations and establish an interesting
correspondence between the relative motion mD0 equations and the equations of
maximal supersymmetric SU(N) Yang-Mills theory (SYM). We show that this
correspondence does not imply a gauge equivalence but establishes a relation
between solutions of the system. In particular, it implies that all the
supersymmetric solutions of mD0 equations in its relative motion part coincide
with supersymmetric solutions of the SYM equations.
| [
{
"created": "Fri, 30 Dec 2022 17:20:43 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2023 15:54:40 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Apr 2023 16:27:27 GMT",
"version": "v3"
}
] | 2023-05-03 | [
[
"Bandos",
"Igor",
""
],
[
"Sarraga",
"Unai D. M.",
""
]
] | We study the properties of 10D multiple D0-brane (mD0) system described by recently proposed complete supersymmetric and $\kappa$-symmetric nonlinear action which includes an arbitrary positive definite function ${\cal M}({\cal H})$ of the relative motion Hamiltonian ${\cal H}$. First we show how the action with a particular nonlinear ${\cal M}({\cal H})$ can be obtained from the action for 11D multiple M-wave (multiple M0-brane or mM0) system. Then we obtain the complete set of equations of motion of mD0 system with arbitrary positive definite ${\cal M}({\cal H})$, perform a convenient gauge fixing, solve the center of energy equations and establish an interesting correspondence between the relative motion mD0 equations and the equations of maximal supersymmetric SU(N) Yang-Mills theory (SYM). We show that this correspondence does not imply a gauge equivalence but establishes a relation between solutions of the system. In particular, it implies that all the supersymmetric solutions of mD0 equations in its relative motion part coincide with supersymmetric solutions of the SYM equations. |
1610.07618 | Diego Trancanelli | Andrea Prudenziati and Diego Trancanelli | Replica trick and string winding | 13 pages, 2 figures | Phys. Rev. D 96, 026009 (2017) | 10.1103/PhysRevD.96.026009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the replica trick to compute the entropy of a cylinder amplitude in
string theory. We focus on the contribution from non-perturbative winding modes
and impose tadpole cancellation to understand the correct prescription for
integrating over moduli. Choosing the entangling surface to cut longitudinally
over the whole length of the cylinder, we obtain an answer that is interpreted
as the entropy of a density matrix. We recast this result in target space
language, both in the open and closed string picture.
| [
{
"created": "Mon, 24 Oct 2016 20:00:05 GMT",
"version": "v1"
}
] | 2017-07-19 | [
[
"Prudenziati",
"Andrea",
""
],
[
"Trancanelli",
"Diego",
""
]
] | We apply the replica trick to compute the entropy of a cylinder amplitude in string theory. We focus on the contribution from non-perturbative winding modes and impose tadpole cancellation to understand the correct prescription for integrating over moduli. Choosing the entangling surface to cut longitudinally over the whole length of the cylinder, we obtain an answer that is interpreted as the entropy of a density matrix. We recast this result in target space language, both in the open and closed string picture. |
hep-th/0305161 | Martin | Jerome Martin and R. H. Brandenberger | On the Dependence of the Spectra of Fluctuations in Inflationary
Cosmology on Trans-Planckian Physics | 19 pages, 6 figures. Misprints corrected and reference added | Phys.Rev. D68 (2003) 063513 | 10.1103/PhysRevD.68.063513 | null | hep-th astro-ph gr-qc hep-ph | null | We calculate the power spectrum of metric fluctuations in inflationary
cosmology starting with initial conditions which are imposed mode by mode when
the wavelength equals some critical length $\ell_{_{\rm C}}$ corresponding to a
new energy scale $M_{_{\rm C}}$ at which trans-Planckian physics becomes
important. In this case, the power spectrum can differ from what is calculated
in the usual framework (which amounts to choosing the adiabatic vacuum state).
The fractional difference in the results depends on the ratio $\sigma_0$
between the Hubble expansion rate $H_{\rm inf}$ during inflation and the new
energy scale $M_{_{\rm C}}$. We show how and why different choices of the
initial vacuum state (stemming from different assumptions about trans-Planckian
physics) lead to fractional differences which depend on different powers of
$\sigma_0$. As we emphasize, the power in general also depends on whether one
is calculating the power spectrum of density fluctuations or of gravitational
waves.
| [
{
"created": "Mon, 19 May 2003 16:39:14 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2003 16:10:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Martin",
"Jerome",
""
],
[
"Brandenberger",
"R. H.",
""
]
] | We calculate the power spectrum of metric fluctuations in inflationary cosmology starting with initial conditions which are imposed mode by mode when the wavelength equals some critical length $\ell_{_{\rm C}}$ corresponding to a new energy scale $M_{_{\rm C}}$ at which trans-Planckian physics becomes important. In this case, the power spectrum can differ from what is calculated in the usual framework (which amounts to choosing the adiabatic vacuum state). The fractional difference in the results depends on the ratio $\sigma_0$ between the Hubble expansion rate $H_{\rm inf}$ during inflation and the new energy scale $M_{_{\rm C}}$. We show how and why different choices of the initial vacuum state (stemming from different assumptions about trans-Planckian physics) lead to fractional differences which depend on different powers of $\sigma_0$. As we emphasize, the power in general also depends on whether one is calculating the power spectrum of density fluctuations or of gravitational waves. |
1410.8823 | Gianguido Dall'Agata | Walter H. Baron and Gianguido Dall'Agata | Uplifting non-compact gauged supergravities | 28 pages. v2: font fixed and clarified some points. JHEP version | null | 10.1007/JHEP02(2015)003 | DFPD-2014/TH/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the M-theory uplift of de Sitter vacua of SO(5,3) and SO(4,4)
gaugings of maximal supergravity in 4 dimensions. We find new non-compact
backgrounds that are squashed hyperboloids with non-trivial flux for the 3-form
potential. The uplift requires a new non-linear ansatz for the 11-dimensional
metric and for the 3-form potential that reduces to the known one leading to
the 7-sphere solution in the case of the SO(8) gauging.
| [
{
"created": "Fri, 31 Oct 2014 17:30:40 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2015 09:53:39 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Baron",
"Walter H.",
""
],
[
"Dall'Agata",
"Gianguido",
""
]
] | We provide the M-theory uplift of de Sitter vacua of SO(5,3) and SO(4,4) gaugings of maximal supergravity in 4 dimensions. We find new non-compact backgrounds that are squashed hyperboloids with non-trivial flux for the 3-form potential. The uplift requires a new non-linear ansatz for the 11-dimensional metric and for the 3-form potential that reduces to the known one leading to the 7-sphere solution in the case of the SO(8) gauging. |
hep-th/9704109 | Nathan Jacob Berkovits | Nathan Berkovits (IFT/UNESP, Sao Paulo) | Extra Dimensions in Superstring Theory | 18 pages harvmac tex (references added and paragraph corrected
concerning central charges in the SUSY algebra) | Nucl.Phys. B507 (1997) 731-745 | 10.1016/S0550-3213(97)00594-4 | IFT-P.033/97 | hep-th | null | It was earlier shown that an SO(9,1) $\theta^\a$ spinor variable can be
constructed from RNS matter and ghost fields. $\theta^\a$ has a bosonic
worldsheet super-partner $\lambda^\a$ which plays the role of a twistor
variable, satisfying $\lambda\Gamma^\mu\lambda = \partial x^\mu
+i\theta\Gamma^\mu \partial\theta$. For Type IIA superstrings, the left-moving
$[\theta_L^\a,\lambda_L^\a]$ and right-moving $[\theta_{R\a},\lambda_{R\a}]$
can be combined into 32-component SO(10,1) spinors $[\theta^A,\lambda^A]$.
This suggests that $\lambda^A \Gamma^{11}_{AB}\lambda^B= 2\lambda_L^\a
\lambda_{R\a}$ can be interpreted as momentum in the eleventh direction.
Evidence for this interpretation comes from the zero-momentum vertex operators
of the Type IIA superstring and from consideration of $D_0$-branes. As in the
work of Bars, one finds an SO(10,2) structure for the Type IIA superstring and
an SO(9,1) x SO(2,1) structure for the Type IIB superstring.
| [
{
"created": "Mon, 14 Apr 1997 18:25:32 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 1997 15:39:16 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Berkovits",
"Nathan",
"",
"IFT/UNESP, Sao Paulo"
]
] | It was earlier shown that an SO(9,1) $\theta^\a$ spinor variable can be constructed from RNS matter and ghost fields. $\theta^\a$ has a bosonic worldsheet super-partner $\lambda^\a$ which plays the role of a twistor variable, satisfying $\lambda\Gamma^\mu\lambda = \partial x^\mu +i\theta\Gamma^\mu \partial\theta$. For Type IIA superstrings, the left-moving $[\theta_L^\a,\lambda_L^\a]$ and right-moving $[\theta_{R\a},\lambda_{R\a}]$ can be combined into 32-component SO(10,1) spinors $[\theta^A,\lambda^A]$. This suggests that $\lambda^A \Gamma^{11}_{AB}\lambda^B= 2\lambda_L^\a \lambda_{R\a}$ can be interpreted as momentum in the eleventh direction. Evidence for this interpretation comes from the zero-momentum vertex operators of the Type IIA superstring and from consideration of $D_0$-branes. As in the work of Bars, one finds an SO(10,2) structure for the Type IIA superstring and an SO(9,1) x SO(2,1) structure for the Type IIB superstring. |
0911.3673 | Christoph Adam | C. Adam, J. Sanchez-Guillen, T. Romanczukiewicz, A. Wereszczynski | Strongly coupled Skyrme-Faddeev-Niemi hopfions | Latex, 25 pages, 9 figures, extensive revision; a section on the
comparison with the full model added | J.Phys.A43:345402,2010 | 10.1088/1751-8113/43/34/345402 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The strongly coupled limit of the Skyrme-Faddeev-Niemi model (i.e., without
quadratic kinetic term) with a potential is considered on the spacetime S^3 x
R. For one-vacuum potentials two types of exact Hopf solitons are obtained.
Depending on the value of the Hopf index, we find compact or non-compact
hopfions. The compact hopfions saturate a Bogomolny bound and lead to a
fractional energy-charge formula E \sim |Q|^{1/2}, whereas the non-compact
solitons do not saturate the bound and give E \sim |Q|. In the case of
potentials with two vacua compact shell-like hopfions are derived. Some remarks
on the influence of the potential on topological solutions in the full
Skyrme-Faddeev-Niemi model or in (3+1) Minkowski space are also made.
| [
{
"created": "Thu, 19 Nov 2009 13:16:01 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2009 11:06:45 GMT",
"version": "v2"
},
{
"created": "Mon, 10 May 2010 17:12:00 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | The strongly coupled limit of the Skyrme-Faddeev-Niemi model (i.e., without quadratic kinetic term) with a potential is considered on the spacetime S^3 x R. For one-vacuum potentials two types of exact Hopf solitons are obtained. Depending on the value of the Hopf index, we find compact or non-compact hopfions. The compact hopfions saturate a Bogomolny bound and lead to a fractional energy-charge formula E \sim |Q|^{1/2}, whereas the non-compact solitons do not saturate the bound and give E \sim |Q|. In the case of potentials with two vacua compact shell-like hopfions are derived. Some remarks on the influence of the potential on topological solutions in the full Skyrme-Faddeev-Niemi model or in (3+1) Minkowski space are also made. |
hep-th/9601026 | Oleg D. Andreev | Oleg Andreev | On 2D gravity coupled to $c\leq 1$ matter in Polyakov light-cone gauge | 8 pages, LaTeX2e, no figures | Phys.Lett. B375 (1996) 60-64 | 10.1016/0370-2693(96)00200-6 | LANDAU-96-TMP-1 | hep-th | null | A new formulation of $c\leq 1$ matter coupled to 2D gravity is proposed. This
model, being closely analogous to one in the Polyakov light-cone gauge,
possesses well defined global properties which allow to calculate correlation
functions. As an example, the three point correlation functions of discrete
states are found.
| [
{
"created": "Mon, 8 Jan 1996 14:03:56 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Andreev",
"Oleg",
""
]
] | A new formulation of $c\leq 1$ matter coupled to 2D gravity is proposed. This model, being closely analogous to one in the Polyakov light-cone gauge, possesses well defined global properties which allow to calculate correlation functions. As an example, the three point correlation functions of discrete states are found. |
hep-th/9312191 | Atushi Ishikawa | Atushi Ishikawa | Wheeler-DeWitt Equation in Two-dimensional Quantum Gravity with $c=1$
Conformal Matter Field | 14p, LaTex | Phys.Rev. D50 (1994) 2609-2614 | 10.1103/PhysRevD.50.2609 | null | hep-th | null | In the context of two-dimensional quantum cosmology, we consider the
path-integral of a string on annulus which contains the Liouville field and
conformal matter fields. We show that, in the transition amplitude of the
string universe, the non-zero modes of the fields are all cancelled out only
when we take the $c=1$ conformal matter field and impose the Neumann boundary
condition on the system. The transition amplitude obtained obeys the
minisuperspace Wheeler-DeWitt equation. In our treatment, the modular parameter
on annulus plays the role of time variable to integrate out.
| [
{
"created": "Fri, 24 Dec 1993 10:28:11 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Dec 1993 08:49:32 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Ishikawa",
"Atushi",
""
]
] | In the context of two-dimensional quantum cosmology, we consider the path-integral of a string on annulus which contains the Liouville field and conformal matter fields. We show that, in the transition amplitude of the string universe, the non-zero modes of the fields are all cancelled out only when we take the $c=1$ conformal matter field and impose the Neumann boundary condition on the system. The transition amplitude obtained obeys the minisuperspace Wheeler-DeWitt equation. In our treatment, the modular parameter on annulus plays the role of time variable to integrate out. |
hep-th/9503180 | Thomas Ackermann | T.Ackermann, J.Tolksdorf | Unification of Gravity and Yang-Mills-Higgs Gauge Theories | 8 pages, latex | null | null | Mannheimer Manuskripte 191, CPT-95/P.3180 | hep-th | null | In this letter we show how the action functional of the standard model and of
gravity can be derived from a specific Dirac operator. Far from being exotic
this particular Dirac operator turns out to be structurally determined by the
Yukawa coupling term. The main feature of our approach is that it naturally
unifies the action of the standard model with gravity.
| [
{
"created": "Mon, 27 Mar 1995 08:32:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ackermann",
"T.",
""
],
[
"Tolksdorf",
"J.",
""
]
] | In this letter we show how the action functional of the standard model and of gravity can be derived from a specific Dirac operator. Far from being exotic this particular Dirac operator turns out to be structurally determined by the Yukawa coupling term. The main feature of our approach is that it naturally unifies the action of the standard model with gravity. |
1303.5212 | Filip Blaschke | Masato Arai, Filip Blaschke, Minoru Eto and Norisuke Sakai | Stabilizing matter and gauge fields localized on walls | 22 pages, 10 figures, minor text corrections included, to appear in
PTEP | null | 10.1093/ptep/ptt064 | YGHP-13-56 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Both non-Abelian gauge fields and minimally interacting massless matter
fields are localized on a domain wall in the five-dimensional spacetime.
Field-dependent gauge coupling naturally gives a position-dependent coupling to
localize non-Abelian gauge fields on the domain wall. An economical field
content allows us to eliminate a moduli for a instability, and to demonstrate
the positivity of the position-dependent coupling in the entire moduli space.
Effective Lagrangian similar to the chiral Lagrangian is found with a new
feature of different coupling strengths for adjoint and singlet matter that
depend on the width of the domain wall.
| [
{
"created": "Thu, 21 Mar 2013 09:48:09 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2013 08:24:49 GMT",
"version": "v2"
}
] | 2014-05-07 | [
[
"Arai",
"Masato",
""
],
[
"Blaschke",
"Filip",
""
],
[
"Eto",
"Minoru",
""
],
[
"Sakai",
"Norisuke",
""
]
] | Both non-Abelian gauge fields and minimally interacting massless matter fields are localized on a domain wall in the five-dimensional spacetime. Field-dependent gauge coupling naturally gives a position-dependent coupling to localize non-Abelian gauge fields on the domain wall. An economical field content allows us to eliminate a moduli for a instability, and to demonstrate the positivity of the position-dependent coupling in the entire moduli space. Effective Lagrangian similar to the chiral Lagrangian is found with a new feature of different coupling strengths for adjoint and singlet matter that depend on the width of the domain wall. |
hep-th/0701284 | Igor V. Volovich | I. Ya. Aref'eva and I.V. Volovich | Quantization of the Riemann Zeta-Function and Cosmology | 14 pages, corrected typos, references and comments added | Int.J.Geom.Meth.Mod.Phys.4:881-895,2007 | 10.1142/S021988780700234X | null | hep-th gr-qc math-ph math.AG math.MP quant-ph | null | Quantization of the Riemann zeta-function is proposed. We treat the Riemann
zeta-function as a symbol of a pseudodifferential operator and study the
corresponding classical and quantum field theories. This approach is motivated
by the theory of p-adic strings and by recent works on stringy cosmological
models. We show that the Lagrangian for the zeta-function field is equivalent
to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of
the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and
the Langlands program is indicated. The Beilinson conjectures on the values of
L-functions of motives are interpreted as dealing with the cosmological
constant problem. Possible cosmological applications of the zeta-function field
theory are discussed.
| [
{
"created": "Tue, 30 Jan 2007 20:54:47 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2007 17:24:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Volovich",
"I. V.",
""
]
] | Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models. We show that the Lagrangian for the zeta-function field is equivalent to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and the Langlands program is indicated. The Beilinson conjectures on the values of L-functions of motives are interpreted as dealing with the cosmological constant problem. Possible cosmological applications of the zeta-function field theory are discussed. |
1407.7816 | Benjamin Safdi | Jeongseog Lee, Aitor Lewkowycz, Eric Perlmutter, Benjamin R. Safdi | Renyi entropy, stationarity, and entanglement of the conformal scalar | 37 pages | null | 10.1007/JHEP03(2015)075 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend previous work on the perturbative expansion of the Renyi entropy,
$S_q$, around $q=1$ for a spherical entangling surface in a general CFT.
Applied to conformal scalar fields in various spacetime dimensions, the results
appear to conflict with the known conformal scalar Renyi entropies. On the
other hand, the perturbative results agree with known Renyi entropies in a
variety of other theories, including theories of free fermions and vector
fields and theories with Einstein gravity duals. We propose a resolution
stemming from a careful consideration of boundary conditions near the
entangling surface. This is equivalent to a proper treatment of
total-derivative terms in the definition of the modular Hamiltonian. As a
corollary, we are able to resolve an outstanding puzzle in the literature
regarding the Renyi entropy of ${\cal N}=4$ super-Yang-Mills near $q=1$. A
related puzzle regards the question of stationarity of the renormalized
entanglement entropy (REE) across a circle for a (2+1)-dimensional massive
scalar field. We point out that the boundary contributions to the modular
Hamiltonian shed light on the previously-observed non-stationarity. Moreover,
IR divergences appear in perturbation theory about the massless fixed point
that inhibit our ability to reliably calculate the REE at small non-zero mass.
| [
{
"created": "Tue, 29 Jul 2014 18:35:39 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Lee",
"Jeongseog",
""
],
[
"Lewkowycz",
"Aitor",
""
],
[
"Perlmutter",
"Eric",
""
],
[
"Safdi",
"Benjamin R.",
""
]
] | We extend previous work on the perturbative expansion of the Renyi entropy, $S_q$, around $q=1$ for a spherical entangling surface in a general CFT. Applied to conformal scalar fields in various spacetime dimensions, the results appear to conflict with the known conformal scalar Renyi entropies. On the other hand, the perturbative results agree with known Renyi entropies in a variety of other theories, including theories of free fermions and vector fields and theories with Einstein gravity duals. We propose a resolution stemming from a careful consideration of boundary conditions near the entangling surface. This is equivalent to a proper treatment of total-derivative terms in the definition of the modular Hamiltonian. As a corollary, we are able to resolve an outstanding puzzle in the literature regarding the Renyi entropy of ${\cal N}=4$ super-Yang-Mills near $q=1$. A related puzzle regards the question of stationarity of the renormalized entanglement entropy (REE) across a circle for a (2+1)-dimensional massive scalar field. We point out that the boundary contributions to the modular Hamiltonian shed light on the previously-observed non-stationarity. Moreover, IR divergences appear in perturbation theory about the massless fixed point that inhibit our ability to reliably calculate the REE at small non-zero mass. |
1904.08201 | Stefan Hollands | Stefan Hollands | On the modular operator of mutli-component regions in chiral CFT | v2: 45 pp, 2 figures, discussion of thermal states revised | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new approach to find the Tomita-Takesaki modular flow for
multi-component regions in general chiral conformal field theory. Our method is
based on locality and analyticity of primary fields as well as the so-called
Kubo-Martin-Schwinger (KMS) condition. These features can be used to transform
the problem to a Riemann-Hilbert problem on a covering of the complex plane cut
along the regions, which is equivalent to an integral equation for the matrix
elements of the modular Hamiltonian. Examples are considered.
| [
{
"created": "Wed, 17 Apr 2019 11:39:44 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Dec 2019 14:10:38 GMT",
"version": "v2"
}
] | 2019-12-24 | [
[
"Hollands",
"Stefan",
""
]
] | We introduce a new approach to find the Tomita-Takesaki modular flow for multi-component regions in general chiral conformal field theory. Our method is based on locality and analyticity of primary fields as well as the so-called Kubo-Martin-Schwinger (KMS) condition. These features can be used to transform the problem to a Riemann-Hilbert problem on a covering of the complex plane cut along the regions, which is equivalent to an integral equation for the matrix elements of the modular Hamiltonian. Examples are considered. |
hep-th/0103153 | Riccardo D'Auria | R. D'Auria, S. Ferrara | On Fermion Masses, Gradient Flows and Potential in Supersymmetric
Theories | Further typos corrected and in particular the missing gravitino mass
term in the N=2 Lagrangian has been added | JHEP 0105:034,2001 | 10.1088/1126-6708/2001/05/034 | CERN-TH/2001-069 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In any low energy effective supergravity theory general formulae exist which
allow one to discuss fermion masses, the scalar potential and breaking of
symmetries in a model independent set up. A particular role in this discussion
is played by Killing vectors and Killing prepotentials. We outline these
relations in general and specify then in the context of N=1 and N=2
supergravities in four dimensions. Useful relations of gauged quaternionic
geometry underlying hypermultiplets dynamics are discussed.
| [
{
"created": "Mon, 19 Mar 2001 16:36:33 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2001 13:00:34 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Nov 2002 10:38:29 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Oct 2008 11:01:50 GMT",
"version": "v4"
},
{
"created": "Tue, 29 Nov 2011 11:43:31 GMT",
"version": "v5"
}
] | 2011-11-30 | [
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
]
] | In any low energy effective supergravity theory general formulae exist which allow one to discuss fermion masses, the scalar potential and breaking of symmetries in a model independent set up. A particular role in this discussion is played by Killing vectors and Killing prepotentials. We outline these relations in general and specify then in the context of N=1 and N=2 supergravities in four dimensions. Useful relations of gauged quaternionic geometry underlying hypermultiplets dynamics are discussed. |
1305.0841 | Roberto Alamino | Roberto C. Alamino | Physical Theories with Average Symmetry | 5 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This Letter probes the existence of physical laws invariant only in average
when subjected to some transformation. The concept of a symmetry transformation
is broadened to include corruption by random noise and average symmetry is
introduced by considering functions which are invariant only in average under
these transformations. It is then shown that actions with average symmetry obey
a modified version of Noether's Theorem with dissipative currents. The relation
of this with possible violations of physical symmetries, as for instance
Lorentz invariance in some quantum gravity theories, is briefly commented.
| [
{
"created": "Fri, 3 May 2013 20:34:21 GMT",
"version": "v1"
}
] | 2013-05-07 | [
[
"Alamino",
"Roberto C.",
""
]
] | This Letter probes the existence of physical laws invariant only in average when subjected to some transformation. The concept of a symmetry transformation is broadened to include corruption by random noise and average symmetry is introduced by considering functions which are invariant only in average under these transformations. It is then shown that actions with average symmetry obey a modified version of Noether's Theorem with dissipative currents. The relation of this with possible violations of physical symmetries, as for instance Lorentz invariance in some quantum gravity theories, is briefly commented. |
0709.3090 | Francisco A. Brito | F.A. Brito, J.R. Nascimento, E. Passos, and A. Yu. Petrov | The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action | Revtex4, 4 pages | Phys.Lett.B664:112-115,2008 | 10.1016/j.physletb.2008.05.015 | null | hep-th | null | The four dimensional Lorentz-breaking finite and determined Chern-Simons like
action is generated as a one loop perturbative correction via an appropriate
Lorentz-breaking coupling of the gauge field with the spinor field. Unlike the
known schemes of calculations, within this scheme this term is found to be
regularization independent.
| [
{
"created": "Wed, 19 Sep 2007 18:56:35 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Sep 2007 18:57:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brito",
"F. A.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Passos",
"E.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | The four dimensional Lorentz-breaking finite and determined Chern-Simons like action is generated as a one loop perturbative correction via an appropriate Lorentz-breaking coupling of the gauge field with the spinor field. Unlike the known schemes of calculations, within this scheme this term is found to be regularization independent. |
1311.1443 | Adolfo Malbouisson | L.M. Abreu, C.A. Linhares, A.P.C. Malbouisson, J.M.C. Malbouisson | Magnetic effects on spontaneous symmetry breaking/restoration in a
toroidal topology | Five pages, five figures, version as accepted for publication in
Phys. Rev. D | null | 10.1103/PhysRevD.88.107701 | null | hep-th cond-mat.stat-mech hep-ph | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We study temperature and finite-size effects on the spontaneous symmetry
breaking/restoration for a scalar field model under the influence of an
external magnetic field, at finite chemical potential. We use the 2PI formalism
and consider the large-$N$ limit. We find that there is a minimal size of the
system to sustain the broken phase, which diminishes as the applied field
increases but is independent of the chemical potential. We analyze the critical
curves and show that the magnetic field enhances the broken-phase regions,
while increasing the chemical potential leads to a diminishement of the
critical temperature.
| [
{
"created": "Wed, 6 Nov 2013 16:49:22 GMT",
"version": "v1"
}
] | 2013-11-21 | [
[
"Abreu",
"L. M.",
""
],
[
"Linhares",
"C. A.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
]
] | We study temperature and finite-size effects on the spontaneous symmetry breaking/restoration for a scalar field model under the influence of an external magnetic field, at finite chemical potential. We use the 2PI formalism and consider the large-$N$ limit. We find that there is a minimal size of the system to sustain the broken phase, which diminishes as the applied field increases but is independent of the chemical potential. We analyze the critical curves and show that the magnetic field enhances the broken-phase regions, while increasing the chemical potential leads to a diminishement of the critical temperature. |
hep-th/0507079 | Alexander Westphal | Alexander Westphal | Eternal Inflation with alpha'-Corrections | 24 pages, 5 figures, LaTeX, v4: includes comparison with 3-year WMAP
data and values for the tensor ratio r and the running of n_s | JCAP 0511 (2005) 003 | 10.1088/1475-7516/2005/11/003 | DESY-05-118 | hep-th astro-ph hep-ph | null | Higher-order alpha'-corrections are a generic feature of type IIB string
compactifications. In KKLT-like models of moduli stabilization they provide a
mechanism of breaking the no-scale structure of the volume modulus. We present
a model of inflation driven by the volume modulus of flux compactifications of
the type IIB superstring. Using the effects of gaugino condensation on
D7-branes and perturbative alpha'-corrections the volume modulus can be
stabilized in a scalar potential which simultaneously contains saddle points
providing slow-roll inflation with about 130 e-foldings. We can accommodate the
3-year WMAP data with a spectral index of density fluctuations n_s=0.93. Our
model allows for eternal inflation providing the initial conditions of
slow-roll inflation.
| [
{
"created": "Thu, 7 Jul 2005 19:47:15 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jul 2005 10:32:15 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Nov 2005 18:02:31 GMT",
"version": "v3"
},
{
"created": "Thu, 23 Mar 2006 14:24:26 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Westphal",
"Alexander",
""
]
] | Higher-order alpha'-corrections are a generic feature of type IIB string compactifications. In KKLT-like models of moduli stabilization they provide a mechanism of breaking the no-scale structure of the volume modulus. We present a model of inflation driven by the volume modulus of flux compactifications of the type IIB superstring. Using the effects of gaugino condensation on D7-branes and perturbative alpha'-corrections the volume modulus can be stabilized in a scalar potential which simultaneously contains saddle points providing slow-roll inflation with about 130 e-foldings. We can accommodate the 3-year WMAP data with a spectral index of density fluctuations n_s=0.93. Our model allows for eternal inflation providing the initial conditions of slow-roll inflation. |
0709.3488 | Alessio Marrani | L. Andrianopoli, S. Ferrara, A. Marrani, M. Trigiante | Non-BPS Attractors in 5d and 6d Extended Supergravity | 1+27 pages | Nucl.Phys.B795:428-452,2008 | 10.1016/j.nuclphysb.2007.11.025 | CERN-PH-TH/164; UCLA/07/TEP/19 | hep-th | null | We connect the attractor equations of a certain class of N=2, d=5
supergravities with their (1,0), d=6 counterparts, by relating the moduli space
of non-BPS d=5 black hole/black string attractors to the moduli space of
extremal dyonic black string d=6 non-BPS attractors. For d = 5 real special
symmetric spaces and for N = 4,6,8 theories, we explicitly compute the flat
directions of the black object potential corresponding to vanishing eigenvalues
of its Hessian matrix. In the case N = 4, we study the relation to the (2,0),
d=6 theory. We finally describe the embedding of the N=2, d=5 magic models in
N=8, d=5 supergravity as well as the interconnection among the corresponding
charge orbits.
| [
{
"created": "Fri, 21 Sep 2007 18:00:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Andrianopoli",
"L.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Marrani",
"A.",
""
],
[
"Trigiante",
"M.",
""
]
] | We connect the attractor equations of a certain class of N=2, d=5 supergravities with their (1,0), d=6 counterparts, by relating the moduli space of non-BPS d=5 black hole/black string attractors to the moduli space of extremal dyonic black string d=6 non-BPS attractors. For d = 5 real special symmetric spaces and for N = 4,6,8 theories, we explicitly compute the flat directions of the black object potential corresponding to vanishing eigenvalues of its Hessian matrix. In the case N = 4, we study the relation to the (2,0), d=6 theory. We finally describe the embedding of the N=2, d=5 magic models in N=8, d=5 supergravity as well as the interconnection among the corresponding charge orbits. |
hep-th/9901081 | Rybakov | Yu.P.Rybakov, A.M.Tarabay, and I.G.Chugunov (Department of Theoretical
Physics, Peoples' Friendship University of Russia, Moscow, Russia) | SU(2) Skyrme Vortices | null | Phys.Atom.Nucl.63:664-665,2000; Yad.Fiz.63:730-731,2000 | 10.1134/1.855684 | null | hep-th | null | A regular method for constructing vortex-like solutions with cylindrical
symmetry to the equations of the SU(2) Skyrme chiral model is proposed. A
numerical estimate for the length density of mass is given.
| [
{
"created": "Tue, 19 Jan 1999 16:23:26 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Rybakov",
"Yu. P.",
"",
"Department of Theoretical\n Physics, Peoples' Friendship University of Russia, Moscow, Russia"
],
[
"Tarabay",
"A. M.",
"",
"Department of Theoretical\n Physics, Peoples' Friendship University of Russia, Moscow, Russia"
],
[
"Chugunov",
"I. G.",
"",
"Department of Theoretical\n Physics, Peoples' Friendship University of Russia, Moscow, Russia"
]
] | A regular method for constructing vortex-like solutions with cylindrical symmetry to the equations of the SU(2) Skyrme chiral model is proposed. A numerical estimate for the length density of mass is given. |
hep-th/9808059 | Tekin Dereli | T. Dereli (METU), Robin W. Tucker (Univ. Lancaster) | String Fields and the Standard Model | 4 pages, LATEX, no figures | Phys.Rev.Lett. 82 (1999) 4184-4187 | 10.1103/PhysRevLett.82.4184 | null | hep-th | null | The Cremmer-Scherk mechanism is generalised in a non-Abelian context. In the
presence of the Higgs scalars of the standard model it is argued that fields
arising from the low energy effective string action may contribute to the mass
generation of the observed vector bosons that mediate the electroweak
interactions and that future analyses of experimental data should consider the
possibility of string induced radiative corrections to the Weinberg angle
coming from physics beyond the standard model.
| [
{
"created": "Tue, 11 Aug 1998 13:20:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dereli",
"T.",
"",
"METU"
],
[
"Tucker",
"Robin W.",
"",
"Univ. Lancaster"
]
] | The Cremmer-Scherk mechanism is generalised in a non-Abelian context. In the presence of the Higgs scalars of the standard model it is argued that fields arising from the low energy effective string action may contribute to the mass generation of the observed vector bosons that mediate the electroweak interactions and that future analyses of experimental data should consider the possibility of string induced radiative corrections to the Weinberg angle coming from physics beyond the standard model. |
1602.03119 | Marco Crisostomi | Marco Crisostomi, Kazuya Koyama and Gianmassimo Tasinato | Extended Scalar-Tensor Theories of Gravity | 15 pages, published version | JCAP04(2016)044 | 10.1088/1475-7516/2016/04/044 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study new consistent scalar-tensor theories of gravity recently introduced
by Langlois and Noui with potentially interesting cosmological applications. We
derive the conditions for the existence of a primary constraint that prevents
the propagation of an additional dangerous mode associated with higher order
equations of motion. We then classify the most general, consistent
scalar-tensor theories that are at most quadratic in the second derivatives of
the scalar field. In addition, we investigate the possible connection between
these theories and (beyond) Horndeski through conformal and disformal
transformations. Finally, we point out that these theories can be associated
with new operators in the effective field theory of dark energy, which might
open up new possibilities to test dark energy models in future surveys.
| [
{
"created": "Tue, 9 Feb 2016 18:57:59 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Feb 2016 16:29:58 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Apr 2016 15:13:29 GMT",
"version": "v3"
}
] | 2016-04-22 | [
[
"Crisostomi",
"Marco",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] | We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We derive the conditions for the existence of a primary constraint that prevents the propagation of an additional dangerous mode associated with higher order equations of motion. We then classify the most general, consistent scalar-tensor theories that are at most quadratic in the second derivatives of the scalar field. In addition, we investigate the possible connection between these theories and (beyond) Horndeski through conformal and disformal transformations. Finally, we point out that these theories can be associated with new operators in the effective field theory of dark energy, which might open up new possibilities to test dark energy models in future surveys. |
1403.5333 | Erico Goulart | Gary Gibbons and Erico Goulart | Inspecting Baby Skyrmions with Effective Metrics | 15 pages, 5 figures | null | 10.1103/PhysRevD.89.105008 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper we investigate the causal structure of the baby Skyrme
model using appropriate geometrical tools. We discuss several features of
excitations propagating on top of background solutions and show that the
evolution of high frequency waves is governed by a curved effective geometry.
Examples are given for which the effective metric describes the interaction
between waves and solitonic solutions such as kinks, antikinks and Hedgehogs.
In particular, it is shown how violent processes involving the collisions of
solitons and antisolitons may induce metrics which are not globaly hyperbolic.
We argue that it might be illuminating to calculate the effective metric as a
diagnostic test for pathological regimes in numerical simulations.
| [
{
"created": "Fri, 21 Mar 2014 00:51:58 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Gibbons",
"Gary",
""
],
[
"Goulart",
"Erico",
""
]
] | In the present paper we investigate the causal structure of the baby Skyrme model using appropriate geometrical tools. We discuss several features of excitations propagating on top of background solutions and show that the evolution of high frequency waves is governed by a curved effective geometry. Examples are given for which the effective metric describes the interaction between waves and solitonic solutions such as kinks, antikinks and Hedgehogs. In particular, it is shown how violent processes involving the collisions of solitons and antisolitons may induce metrics which are not globaly hyperbolic. We argue that it might be illuminating to calculate the effective metric as a diagnostic test for pathological regimes in numerical simulations. |
0805.3157 | Evgeny Buchbinder | Evgeny I. Buchbinder | Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes | 40 pages. v2:references added; v3:minor changes, version published in
JHEP | JHEP0809:134,2008 | 10.1088/1126-6708/2008/09/134 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how dynamically breaking SQCD can be obtained on two intersecting
seven-branes in F-theory. In the mechanism which we present in this paper one
of the seven-branes is responsible for producing the low-energy gauge group and
the other one is for generating vector bundle moduli. The fundamental matter
charged under the gauge group is localized on the intersection. The mass of the
matter fields is controlled by the vector bundle moduli. The analysis of under
what conditions a sufficient number of the fundamental flavors becomes light
turns out to be equivalent to the analysis of non-perturbative superpotentials
for vector bundle moduli in Heterotic M-theory. We give an example in which we
present an explicit equation in the moduli space whose zero locus corresponds
to the fundamental fields becoming light. This allows us to provide a local
F-theory realization of massive ${\cal N}=1$, $SU(N_c)$ SQCD in the free
magnetic range which dynamically breaks supersymmetry.
| [
{
"created": "Tue, 20 May 2008 20:09:32 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2008 20:17:48 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2008 13:36:46 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Buchbinder",
"Evgeny I.",
""
]
] | We study how dynamically breaking SQCD can be obtained on two intersecting seven-branes in F-theory. In the mechanism which we present in this paper one of the seven-branes is responsible for producing the low-energy gauge group and the other one is for generating vector bundle moduli. The fundamental matter charged under the gauge group is localized on the intersection. The mass of the matter fields is controlled by the vector bundle moduli. The analysis of under what conditions a sufficient number of the fundamental flavors becomes light turns out to be equivalent to the analysis of non-perturbative superpotentials for vector bundle moduli in Heterotic M-theory. We give an example in which we present an explicit equation in the moduli space whose zero locus corresponds to the fundamental fields becoming light. This allows us to provide a local F-theory realization of massive ${\cal N}=1$, $SU(N_c)$ SQCD in the free magnetic range which dynamically breaks supersymmetry. |
hep-th/0602001 | Hideaki Kudoh | Hideaki Kudoh | Origin of black string instability | 19 pages (revtex4), 4 figures; references added, minor corrections | Phys.Rev.D73:104034,2006 | 10.1103/PhysRevD.73.104034 | UTAP-550, NSF-KITP-06-05 | hep-th gr-qc | null | It is argued that many nonextremal black branes exhibit a classical
Gregory-Laflamme (GL) instability. Why does the universal instability exist? To
find an answer to this question and explore other possible instabilities, we
study stability of black strings for all possible types of gravitational
perturbation. The perturbations are classified into tensor-, vector-, and
scalar-types, according to their behavior on the spherical section of the
background metric. The vector and scalar perturbations have exceptional
multipole moments, and we have paid particular attention to them. It is shown
that for each type of perturbations there is no normalizable negative
(unstable) modes, apart from the exceptional mode known as s-wave perturbation
which is exactly the GL mode. We discuss the origin of instability and comment
on the implication for the correlated-stability conjecture.
| [
{
"created": "Wed, 1 Feb 2006 17:51:26 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Oct 2006 22:07:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kudoh",
"Hideaki",
""
]
] | It is argued that many nonextremal black branes exhibit a classical Gregory-Laflamme (GL) instability. Why does the universal instability exist? To find an answer to this question and explore other possible instabilities, we study stability of black strings for all possible types of gravitational perturbation. The perturbations are classified into tensor-, vector-, and scalar-types, according to their behavior on the spherical section of the background metric. The vector and scalar perturbations have exceptional multipole moments, and we have paid particular attention to them. It is shown that for each type of perturbations there is no normalizable negative (unstable) modes, apart from the exceptional mode known as s-wave perturbation which is exactly the GL mode. We discuss the origin of instability and comment on the implication for the correlated-stability conjecture. |
1510.01522 | Ralph Blumenhagen | Ralph Blumenhagen, Cesar Damian, Anamaria Font, Daniela Herschmann,
Rui Sun | The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation | 30 pages, 7 figures, v2: refs added | null | 10.1002/prop.201600030 | MPP-2015-249 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-geometric flux-scaling vacua provide promising starting points to realize
axion monodromy inflation via the F-term scalar potential. We show that these
vacua can be uplifted to Minkowski and de Sitter by adding an anti D3-brane or
a D-term containing geometric and non-geometric fluxes. These uplifted
non-supersymmetric models are analyzed with respect to their potential to
realize axion monodromy inflation self-consistently. Admitting rational values
of the fluxes, we construct examples with the required hierarchy of mass
scales.
| [
{
"created": "Tue, 6 Oct 2015 10:55:46 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2016 09:20:53 GMT",
"version": "v2"
}
] | 2023-02-03 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Damian",
"Cesar",
""
],
[
"Font",
"Anamaria",
""
],
[
"Herschmann",
"Daniela",
""
],
[
"Sun",
"Rui",
""
]
] | Non-geometric flux-scaling vacua provide promising starting points to realize axion monodromy inflation via the F-term scalar potential. We show that these vacua can be uplifted to Minkowski and de Sitter by adding an anti D3-brane or a D-term containing geometric and non-geometric fluxes. These uplifted non-supersymmetric models are analyzed with respect to their potential to realize axion monodromy inflation self-consistently. Admitting rational values of the fluxes, we construct examples with the required hierarchy of mass scales. |
hep-th/9809171 | Jonathan Bagger | Jonathan A. Bagger and Richard Altendorfer | New supersymmetry algebras from partial supersymmetry breaking | Talk delivered at PASCOS 98 (Boston, MA) and SUSY 98 (Oxford, UK) | null | null | null | hep-th | null | In this talk we will study the partial breaking of supersymmetry in flat and
anti de Sitter space. We will see that partial breaking in flat space can be
accomplished using either of two representations for the massive N=1 spin-3/2
multiplet. We will "unHiggs" each representation and find a new N=2
supergravity and a new N=2 supersymmetry algebra. We will also see that partial
supersymmetry breaking in AdS space can give rise to a new N=2 supersymmetry
algebra, one that is necessarily nonlinearly realized.
| [
{
"created": "Wed, 23 Sep 1998 21:41:29 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 1998 16:25:17 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bagger",
"Jonathan A.",
""
],
[
"Altendorfer",
"Richard",
""
]
] | In this talk we will study the partial breaking of supersymmetry in flat and anti de Sitter space. We will see that partial breaking in flat space can be accomplished using either of two representations for the massive N=1 spin-3/2 multiplet. We will "unHiggs" each representation and find a new N=2 supergravity and a new N=2 supersymmetry algebra. We will also see that partial supersymmetry breaking in AdS space can give rise to a new N=2 supersymmetry algebra, one that is necessarily nonlinearly realized. |
hep-th/0406188 | Nemani V. Suryanarayana | Jerome P. Gauntlett, Jan B. Gutowski and Nemani V. Suryanarayana | A deformation of AdS_5 x S^5 | 16 pages, v2: typos corrected and references added | Class.Quant.Grav. 21 (2004) 5021-5034 | 10.1088/0264-9381/21/22/001 | null | hep-th | null | We analyse a one parameter family of supersymmetric solutions of type IIB
supergravity that includes AdS_5 x S^5. For small values of the parameter the
solutions are causally well-behaved, but beyond a critical value closed
timelike curves (CTC's) appear. The solutions are holographically dual to N=4
supersymmetric Yang-Mills theory on a non-conformally flat background with
non-vanishing R-currents. We compute the holographic energy-momentum tensor for
the spacetime and show that it remains finite even when the CTC's appear. The
solutions, as well as the uplift of some recently discovered AdS_5 black hole
solutions, are shown to preserve precisely two supersymmetries.
| [
{
"created": "Tue, 22 Jun 2004 14:43:25 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jul 2004 17:46:56 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Gutowski",
"Jan B.",
""
],
[
"Suryanarayana",
"Nemani V.",
""
]
] | We analyse a one parameter family of supersymmetric solutions of type IIB supergravity that includes AdS_5 x S^5. For small values of the parameter the solutions are causally well-behaved, but beyond a critical value closed timelike curves (CTC's) appear. The solutions are holographically dual to N=4 supersymmetric Yang-Mills theory on a non-conformally flat background with non-vanishing R-currents. We compute the holographic energy-momentum tensor for the spacetime and show that it remains finite even when the CTC's appear. The solutions, as well as the uplift of some recently discovered AdS_5 black hole solutions, are shown to preserve precisely two supersymmetries. |
hep-th/9309064 | Elias Kiritsis | E. Kiritsis | Duality Symmetries and Topology Change in String Theory | lateX file, 6pp. CERN-TH.7003/93 | null | null | null | hep-th | null | Duality symmetries for strings moving in non-trivial spacetime backgrounds
are analysed. It is shown that for backgrounds generated from WZW and coset CFT
models such duality symmetries are exact to all orders in string perturbation
theory. Their implications for string dynamics in non-trivial/singular
spacetimes are discussed. (Talk given at the EPS 93 Conference, held at
Marseille, July 22-27. To appear in the Proceedings.)
| [
{
"created": "Fri, 10 Sep 1993 20:10:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kiritsis",
"E.",
""
]
] | Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that for backgrounds generated from WZW and coset CFT models such duality symmetries are exact to all orders in string perturbation theory. Their implications for string dynamics in non-trivial/singular spacetimes are discussed. (Talk given at the EPS 93 Conference, held at Marseille, July 22-27. To appear in the Proceedings.) |
hep-th/0307073 | Kazuya Koyama | Kazuya Koyama and Keitaro Takahashi | Exactly solvable model for cosmological perturbations in dilatonic brane
worlds | 30 pages, typos corrected, reference added | Phys.Rev. D68 (2003) 103512 | 10.1103/PhysRevD.68.103512 | utap-454 | hep-th astro-ph gr-qc | null | We construct a model where cosmological perturbations are analytically solved
based on dilatonic brane worlds. A bulk scalar field has an exponential
potential in the bulk and an exponential coupling to the brane tension. The
bulk scalar field yields a power-law inflation on the brane. The exact
background metric can be found including the back-reaction of the scalar field.
Then exact solutions for cosmological perturbations which properly satisfy the
junction conditions on the brane are derived. These solutions provide us an
interesting model to understand the connection between the behavior of
cosmological perturbations on the brane and the geometry of the bulk. Using
these solutions, the behavior of an anisotropic stress induced on the
inflationary brane by bulk gravitational fields is investigated.
| [
{
"created": "Tue, 8 Jul 2003 11:40:20 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2003 11:56:26 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Koyama",
"Kazuya",
""
],
[
"Takahashi",
"Keitaro",
""
]
] | We construct a model where cosmological perturbations are analytically solved based on dilatonic brane worlds. A bulk scalar field has an exponential potential in the bulk and an exponential coupling to the brane tension. The bulk scalar field yields a power-law inflation on the brane. The exact background metric can be found including the back-reaction of the scalar field. Then exact solutions for cosmological perturbations which properly satisfy the junction conditions on the brane are derived. These solutions provide us an interesting model to understand the connection between the behavior of cosmological perturbations on the brane and the geometry of the bulk. Using these solutions, the behavior of an anisotropic stress induced on the inflationary brane by bulk gravitational fields is investigated. |
2202.06824 | Georgios Linardopoulos | Georgios Linardopoulos | String integrability of the ABJM defect | 24 pages. Matches published version | JHEP 06 (2022) 033 | 10.1007/JHEP06(2022)033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | ABJM theory in the presence of a half-BPS domain wall is dual to the D2-D4
probe brane system with nonzero worldvolume flux. The ABJM domain wall was
recently shown to be integrable to lowest order in perturbation theory and bond
dimension. In the present paper we show that the string theory dual of this
system is integrable, namely that the string boundary conditions on the probe
D4-brane preserve the integrability of the Green-Schwarz sigma model. Our
result suggests that the ABJM domain wall is integrable to all loop orders and
for any value of the bond dimension.
| [
{
"created": "Mon, 14 Feb 2022 15:56:57 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2022 15:13:47 GMT",
"version": "v2"
}
] | 2022-06-08 | [
[
"Linardopoulos",
"Georgios",
""
]
] | ABJM theory in the presence of a half-BPS domain wall is dual to the D2-D4 probe brane system with nonzero worldvolume flux. The ABJM domain wall was recently shown to be integrable to lowest order in perturbation theory and bond dimension. In the present paper we show that the string theory dual of this system is integrable, namely that the string boundary conditions on the probe D4-brane preserve the integrability of the Green-Schwarz sigma model. Our result suggests that the ABJM domain wall is integrable to all loop orders and for any value of the bond dimension. |
0710.3093 | Wojciech Zakrzewski | J. Lukierski, P.C. Stichel and W.J. Zakrzewski | Acceleration-Enlarged Symmetries in Nonrelativistic Space-Time with a
Cosmological Constant | 13 pages; small changes like a couple of footnotes etc | Eur.Phys.J.C55:119-124,2008 | 10.1140/epjc/s10052-008-0576-8 | null | hep-th | null | By considering the nonrelativistic limit of de-Sitter geometry one obtains
the nonrelativistic space-time with a cosmological constant and Newton-Hooke
(NH) symmetries. We show that the NH symmetry algebra can be enlarged by the
addition of the constant acceleration generators and endowed with central
extensions (one in any dimension (D) and three in D=(2+1)). We present a
classical Lagrangian and Hamiltonian framework for constructing models
quasi-invariant under enlarged NH symmetries which depend on three parameters
described by three nonvanishing central charges. The Hamiltonian dynamics then
splits into external and internal sectors with new non-commutative structures
of external and internal phase spaces. We show that in the limit of vanishing
cosmological constant the system reduces to the one presented in [1] which
possesses accelaration-enlarged Galilean symmetries.
| [
{
"created": "Tue, 16 Oct 2007 15:39:29 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Oct 2007 16:57:29 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Lukierski",
"J.",
""
],
[
"Stichel",
"P. C.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] | By considering the nonrelativistic limit of de-Sitter geometry one obtains the nonrelativistic space-time with a cosmological constant and Newton-Hooke (NH) symmetries. We show that the NH symmetry algebra can be enlarged by the addition of the constant acceleration generators and endowed with central extensions (one in any dimension (D) and three in D=(2+1)). We present a classical Lagrangian and Hamiltonian framework for constructing models quasi-invariant under enlarged NH symmetries which depend on three parameters described by three nonvanishing central charges. The Hamiltonian dynamics then splits into external and internal sectors with new non-commutative structures of external and internal phase spaces. We show that in the limit of vanishing cosmological constant the system reduces to the one presented in [1] which possesses accelaration-enlarged Galilean symmetries. |
hep-th/0105274 | Mees de Roo | E. A. Bergshoeff, A. Bilal, M. de Roo and A. Sevrin | Supersymmetric non-abelian Born-Infeld revisited | 26 pages, Latex | JHEP 0107:029,2001 | 10.1088/1126-6708/2001/07/029 | NEIP-01-003, UG/01-29, VUB/TENA/01/06 | hep-th | null | We determine the non-abelian Born-Infeld action, including fermions, as it
results from the four-point tree-level open superstring scattering amplitudes
at order alpha'^2. We find that, after an appropriate field redefinition all
terms at this order can be written as a symmetrised trace. We confront this
action with the results that follow from kappa-symmetry and conclude that the
recently proposed non-abelian kappa-symmetry cannot be extended to cubic orders
in the Born-Infeld curvature.
| [
{
"created": "Mon, 28 May 2001 14:48:31 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Bergshoeff",
"E. A.",
""
],
[
"Bilal",
"A.",
""
],
[
"de Roo",
"M.",
""
],
[
"Sevrin",
"A.",
""
]
] | We determine the non-abelian Born-Infeld action, including fermions, as it results from the four-point tree-level open superstring scattering amplitudes at order alpha'^2. We find that, after an appropriate field redefinition all terms at this order can be written as a symmetrised trace. We confront this action with the results that follow from kappa-symmetry and conclude that the recently proposed non-abelian kappa-symmetry cannot be extended to cubic orders in the Born-Infeld curvature. |
hep-th/9905006 | Rodolfo Russo | A. Lerda and R. Russo | Stable non-BPS states in string theory: a pedagogical review | 58 pages, 1 figure; minor corrections | Int.J.Mod.Phys.A15:771-820,2000 | 10.1142/S0217751X00000380 | NEIP-9909 | hep-th | null | We present a pedagogical review of the stable non-BPS states in string theory
which have recently attracted some attention in the literature. In particular,
following the analysis of A. Sen, we discuss in detail the case of the stable
non-BPS D-particle of Type I theory whose existence is predicted (and required)
by the heterotic/Type I duality. We show that this D-particle originates from
an unstable bound state formed by a D1/anti-D1 pair of Type IIB in which the
tachyon field acquires a solitonic kink configuration. The mechanism of tachyon
condensation is discussed first at a qualitative level and then with an exact
conformal field theory analysis.
| [
{
"created": "Sun, 2 May 1999 21:08:37 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Aug 1999 18:38:20 GMT",
"version": "v2"
}
] | 2010-11-26 | [
[
"Lerda",
"A.",
""
],
[
"Russo",
"R.",
""
]
] | We present a pedagogical review of the stable non-BPS states in string theory which have recently attracted some attention in the literature. In particular, following the analysis of A. Sen, we discuss in detail the case of the stable non-BPS D-particle of Type I theory whose existence is predicted (and required) by the heterotic/Type I duality. We show that this D-particle originates from an unstable bound state formed by a D1/anti-D1 pair of Type IIB in which the tachyon field acquires a solitonic kink configuration. The mechanism of tachyon condensation is discussed first at a qualitative level and then with an exact conformal field theory analysis. |
hep-th/9707126 | Pierre Vanhove | C. Bachas, C. Fabre, E. Kiritsis, N.A. Obers and P. Vanhove | Heterotic / type I duality and D-brane instantons | latex 23 pages, 3 figures eps included. Final version to appear in
Nuclear Physics B | Nucl.Phys.B509:33-52,1998 | 10.1016/S0550-3213(97)00639-1 | CERN-TH/97-65, CPTH-S500-0497 | hep-th | null | We study heterotic/type I duality in d=8,9 uncompactified dimensions. We
consider the special (``BPS saturated'') F^4 and R^4 terms in the effective
one-loop heterotic action, which are expected to be non-perturbatively exact.
Under the standard duality map these translate to tree-level, perturbative and
non-perturbative contributions on the type I side. We check agreement with the
one-loop open string calculation, and discuss the higher-order perturbative
contributions, which arise because of the mild non-holomorphicities of the
heterotic elliptic genus. We put the heterotic world-sheet instanton
corrections in a form that can be motivated as arising from a D-brane instanton
calculation on the type-I side.
| [
{
"created": "Mon, 14 Jul 1997 10:56:47 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jul 1997 09:19:21 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Oct 1997 13:53:55 GMT",
"version": "v3"
}
] | 2011-05-05 | [
[
"Bachas",
"C.",
""
],
[
"Fabre",
"C.",
""
],
[
"Kiritsis",
"E.",
""
],
[
"Obers",
"N. A.",
""
],
[
"Vanhove",
"P.",
""
]
] | We study heterotic/type I duality in d=8,9 uncompactified dimensions. We consider the special (``BPS saturated'') F^4 and R^4 terms in the effective one-loop heterotic action, which are expected to be non-perturbatively exact. Under the standard duality map these translate to tree-level, perturbative and non-perturbative contributions on the type I side. We check agreement with the one-loop open string calculation, and discuss the higher-order perturbative contributions, which arise because of the mild non-holomorphicities of the heterotic elliptic genus. We put the heterotic world-sheet instanton corrections in a form that can be motivated as arising from a D-brane instanton calculation on the type-I side. |
1908.08517 | Hisham Sati | Hisham Sati | Six-dimensional gauge theories and (twisted) generalized cohomology | 15 pages | null | null | null | hep-th math.AT math.KT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the global aspects of the 6-dimensional $\mathcal{N}=(1, 0)$
theory arising from the coupling of the vector multiplet to the tensor
multiplet. We show that the Yang-Mills field and its dual, when both are
abelianized, combine to define a class in twisted cohomology with the twist
arising from the class of the $B$-field, in a duality-symmetric manner. We then
show that this lifts naturally to a class in twisted (differential) K-theory.
Alternatively, viewing the B-field in both $\mathcal{N}=(1,0)$ and
$\mathcal{N}=(2,0)$ theories, not as a twist but as an invertible element,
leads to a description within untwisted chromatic level two generalized
cohomology theories, including forms of elliptic cohomology and Morava
K-theory.
| [
{
"created": "Thu, 22 Aug 2019 17:49:57 GMT",
"version": "v1"
}
] | 2019-08-23 | [
[
"Sati",
"Hisham",
""
]
] | We consider the global aspects of the 6-dimensional $\mathcal{N}=(1, 0)$ theory arising from the coupling of the vector multiplet to the tensor multiplet. We show that the Yang-Mills field and its dual, when both are abelianized, combine to define a class in twisted cohomology with the twist arising from the class of the $B$-field, in a duality-symmetric manner. We then show that this lifts naturally to a class in twisted (differential) K-theory. Alternatively, viewing the B-field in both $\mathcal{N}=(1,0)$ and $\mathcal{N}=(2,0)$ theories, not as a twist but as an invertible element, leads to a description within untwisted chromatic level two generalized cohomology theories, including forms of elliptic cohomology and Morava K-theory. |
2106.09642 | Yusuke Nishida | Yusuke Nishida | Full counting statistics of Schwinger pair production and annihilation | 6 pages, 2 figures; published version | Phys. Rev. D 104, 031902 (2021) | 10.1103/PhysRevD.104.L031902 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the probability distribution of the number of particle and
antiparticle pairs produced via the Schwinger effect when a uniform but
time-dependent electric field is applied to noninteracting scalars or spinors
initially at a thermodynamic equilibrium. We derive the formula for the
characteristic function by employing techniques in mesoscopic physics,
reflecting a close analogy between the Schwinger effect and mesoscopic
tunneling transports. In particular, we find that the pair production in a
medium is enhanced (suppressed) for scalars (spinors) due to the Bose
stimulation (Pauli blocking). Furthermore, in addition to the production of
accelerated pairs by the electric field, the annihilation of decelerated pairs
is found to take place in a medium. Our formula allows us to extract the
probability distributions in various situations, such as those obeying the
generalized trinomial statistics for spin-momentum resolved counting and the
bidirectional Poisson statistics for spin-momentum unresolved counting.
| [
{
"created": "Thu, 17 Jun 2021 16:42:09 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 2021 15:34:32 GMT",
"version": "v2"
}
] | 2021-09-08 | [
[
"Nishida",
"Yusuke",
""
]
] | We study the probability distribution of the number of particle and antiparticle pairs produced via the Schwinger effect when a uniform but time-dependent electric field is applied to noninteracting scalars or spinors initially at a thermodynamic equilibrium. We derive the formula for the characteristic function by employing techniques in mesoscopic physics, reflecting a close analogy between the Schwinger effect and mesoscopic tunneling transports. In particular, we find that the pair production in a medium is enhanced (suppressed) for scalars (spinors) due to the Bose stimulation (Pauli blocking). Furthermore, in addition to the production of accelerated pairs by the electric field, the annihilation of decelerated pairs is found to take place in a medium. Our formula allows us to extract the probability distributions in various situations, such as those obeying the generalized trinomial statistics for spin-momentum resolved counting and the bidirectional Poisson statistics for spin-momentum unresolved counting. |
2305.11972 | Dmitri Vassilevich | Oz\'orio Holanda, Ren\'e Meyer, Dmitri Vassilevich | Parity anomaly with impurities and the Pauli--Villars subtraction | Revtex, 19 pages | Phys.Rev.D 108 (2023) 10, 105001 | 10.1103/PhysRevD.108.105001 | null | hep-th cond-mat.mes-hall | http://creativecommons.org/licenses/by/4.0/ | We calculate the anomalous part of the polarization tensor of Dirac fermions
in $2+1$ dimensions in the presence of impurities described by the scattering
rate $\Gamma$ for arbitrary external frequency and momenta. We consider two
different versions of the Pauli--Villars subtractions and discuss their
physical consequences.
| [
{
"created": "Fri, 19 May 2023 19:43:25 GMT",
"version": "v1"
}
] | 2024-06-26 | [
[
"Holanda",
"Ozório",
""
],
[
"Meyer",
"René",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] | We calculate the anomalous part of the polarization tensor of Dirac fermions in $2+1$ dimensions in the presence of impurities described by the scattering rate $\Gamma$ for arbitrary external frequency and momenta. We consider two different versions of the Pauli--Villars subtractions and discuss their physical consequences. |
2109.12328 | Augusto Sagnotti Prof. | J. Mourad, A. Sagnotti | On Warped String Vacuum Profiles and Cosmologies, II. Non-Supersymmetric
Strings | 67 pages, LaTeX, 6 tables, 9 eps figures | null | 10.1007/JHEP12(2021)138 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the effects of the leading tadpole potentials of 10D
tachyon-free non-supersymmetric strings in warped products of flat geometries
of the type M(p+1) x R x T(10-p-2) depending on a single coordinate. In the
absence of fluxes and for p<8, there are two families of these vacua for the
orientifold disk-level potential, both involving a finite internal interval.
Their asymptotics are surprisingly captured by tadpole-free solutions,
isotropic for one family and anisotropic at one end for the other. In contrast,
for the heterotic torus-level potential there are four types of vacua. Their
asymptotics are always tadpole-dependent and isotropic at one end lying at a
finite distance, while at the other end, which can lie at a finite or infinite
distance, they can be tadpole-dependent isotropic or tadpole-free anisotropic.
We then elaborate on the general setup for including symmetric fluxes, and
present the three families of exact solutions that emerge when the orientifold
potential and a seven-form flux are both present. These solutions include a
pair of boundaries, which are always separated by a finite distance. In the
neighborhood of one, they all approach a common supersymmetric limit, while the
asymptotics at the other boundary can be tadpole-free isotropic, tadpole-free
anisotropic or again supersymmetric. We also discuss corresponding cosmologies,
with emphasis on their climbing or descending behavior at the initial
singularity. In some cases the toroidal dimensions can contract during the
cosmological expansion.
| [
{
"created": "Sat, 25 Sep 2021 10:05:18 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Mourad",
"J.",
""
],
[
"Sagnotti",
"A.",
""
]
] | We investigate the effects of the leading tadpole potentials of 10D tachyon-free non-supersymmetric strings in warped products of flat geometries of the type M(p+1) x R x T(10-p-2) depending on a single coordinate. In the absence of fluxes and for p<8, there are two families of these vacua for the orientifold disk-level potential, both involving a finite internal interval. Their asymptotics are surprisingly captured by tadpole-free solutions, isotropic for one family and anisotropic at one end for the other. In contrast, for the heterotic torus-level potential there are four types of vacua. Their asymptotics are always tadpole-dependent and isotropic at one end lying at a finite distance, while at the other end, which can lie at a finite or infinite distance, they can be tadpole-dependent isotropic or tadpole-free anisotropic. We then elaborate on the general setup for including symmetric fluxes, and present the three families of exact solutions that emerge when the orientifold potential and a seven-form flux are both present. These solutions include a pair of boundaries, which are always separated by a finite distance. In the neighborhood of one, they all approach a common supersymmetric limit, while the asymptotics at the other boundary can be tadpole-free isotropic, tadpole-free anisotropic or again supersymmetric. We also discuss corresponding cosmologies, with emphasis on their climbing or descending behavior at the initial singularity. In some cases the toroidal dimensions can contract during the cosmological expansion. |
1602.03173 | Bhabani Prasad Mandal Prof. | Shinichi Deguchi, Vipul Kumar Pandey and Bhabani Prasad Mandal | Maximal Abelian gauge and a generalized BRST transformation | 18 Pages, Revtex4, No figures | Physics Letter B 756, (2016) 394 | 10.1016/j.physletb.2016.03.050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a generalized Becchi-Rouet-Stora-Tyutin (BRST) formulation to
establish a connection between the gauge-fixed $SU(2)$ Yang-Mills (YM) theories
formulated in the Lorenz gauge and in the Maximal Abelian (MA) gauge. It is
shown that the generating functional corresponding to the Faddeev-Popov (FP)
effective action in the MA gauge can be obtained from that in the Lorenz gauge
by carrying out an appropriate finite and field-dependent BRST (FFBRST)
transformation. In this procedure, the FP effective action in the MA gauge is
found from that in the Lorenz gauge by incorporating the contribution of
non-trivial Jacobian due to the FFBRST transformation of the path integral
measure. The present FFBRST formulation might be useful to see how Abelian
dominance in the MA gauge is realized in the Lorenz gauge.
| [
{
"created": "Tue, 9 Feb 2016 07:34:20 GMT",
"version": "v1"
}
] | 2016-04-20 | [
[
"Deguchi",
"Shinichi",
""
],
[
"Pandey",
"Vipul Kumar",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] | We apply a generalized Becchi-Rouet-Stora-Tyutin (BRST) formulation to establish a connection between the gauge-fixed $SU(2)$ Yang-Mills (YM) theories formulated in the Lorenz gauge and in the Maximal Abelian (MA) gauge. It is shown that the generating functional corresponding to the Faddeev-Popov (FP) effective action in the MA gauge can be obtained from that in the Lorenz gauge by carrying out an appropriate finite and field-dependent BRST (FFBRST) transformation. In this procedure, the FP effective action in the MA gauge is found from that in the Lorenz gauge by incorporating the contribution of non-trivial Jacobian due to the FFBRST transformation of the path integral measure. The present FFBRST formulation might be useful to see how Abelian dominance in the MA gauge is realized in the Lorenz gauge. |
2212.02816 | Amin Faraji Astaneh | Kuroush Allameh and Amin Faraji Astaneh | Energy of Decomposition and Entanglement Thermodynamics for
$T^2$-deformation | 16 pages, published version | null | null | null | hep-th cond-mat.stat-mech gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We have presented a set of laws of entanglement thermodynamics for
$T\bar{T}$-deformed CFTs and in general for $T^2$-deformed field theories. In
particular, the first law of this set, states that although we are dealing with
a non-trivial deformed theory, the change of the entanglement entropy is simply
translated to the change of the bending energy of the entangling surface. We
interpret this energy as the energy of decomposition. Probing the whole
spectrum of the deformed theory, a second law also results, which suggests an
inequality that the first law is derived from its saturation limit. We explain
that this second law guarantees the preservation of the unitarity bound. The
thermodynamical form of these laws requires us to define the temperature of
deformation and express its characteristics, which is the subject of the third
law. We use a holographic approach in this analysis and in each case, we
consider the generalization to higher dimensions.
| [
{
"created": "Tue, 6 Dec 2022 08:20:34 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 2022 04:43:22 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Feb 2023 15:37:39 GMT",
"version": "v3"
}
] | 2023-02-21 | [
[
"Allameh",
"Kuroush",
""
],
[
"Astaneh",
"Amin Faraji",
""
]
] | We have presented a set of laws of entanglement thermodynamics for $T\bar{T}$-deformed CFTs and in general for $T^2$-deformed field theories. In particular, the first law of this set, states that although we are dealing with a non-trivial deformed theory, the change of the entanglement entropy is simply translated to the change of the bending energy of the entangling surface. We interpret this energy as the energy of decomposition. Probing the whole spectrum of the deformed theory, a second law also results, which suggests an inequality that the first law is derived from its saturation limit. We explain that this second law guarantees the preservation of the unitarity bound. The thermodynamical form of these laws requires us to define the temperature of deformation and express its characteristics, which is the subject of the third law. We use a holographic approach in this analysis and in each case, we consider the generalization to higher dimensions. |
hep-th/0106065 | Nicolas Boulanger | N. Boulanger and M. Henneaux | A derivation of Weyl gravity | This work was presented in part at the meeting of the Deutsche
Physikalische Gesellschaft held in Bonn, 26-29 March 2001. To appear in
Annalen der Physik | Annalen Phys. 10 (2001) 935-964 | 10.1002/1521-3889(200111)10:11/12<935::AID-ANDP935>3.0.CO;2-Z | null | hep-th gr-qc | null | In this paper, two things are done. (i) Using cohomological techniques, we
explore the consistent deformations of linearized conformal gravity in 4
dimensions. We show that the only possibility involving no more than 4
derivatives of the metric (i.e., terms of the form $\partial^4 g_{\mu \nu}$,
$\partial^3 g_{\mu \nu} \partial g_{\alpha \beta}$, $\partial^2 g_{\mu \nu}
\partial^2g_{\alpha \beta}$, $\partial^2 g_{\mu \nu} \partial g_{\alpha \beta}
\partial g_{\rho \sigma}$ or $\partial g_{\mu \nu} \partial g_{\alpha \beta}
\partial g_{\rho \sigma} \partial g_{\gamma \delta}$ with coefficients that
involve undifferentiated metric components - or terms with less derivatives) is
given by the Weyl action $\int d^4x \sqrt{-g} W_{\a\b\g\d} W^{\a\b\g\d}$, in
much the same way as the Einstein-Hilbert action describes the only consistent
manner to make a Pauli-Fierz massless spin-2 field self-interact with no more
than 2 derivatives. No a priori requirement of invariance under diffeomorphisms
is imposed: this follows automatically from consistency. (ii) We then turn to
"multi-Weyl graviton" theories. We show the impossibility to introduce
cross-interactions between the different types of Weyl gravitons if one
requests that the action reduces, in the free limit, to a sum of linearized
Weyl actions. However, if different free limits are authorized, cross-couplings
become possible. An explicit example is given. We discuss also how the results
extend to other spacetime dimensions.
| [
{
"created": "Thu, 7 Jun 2001 16:25:49 GMT",
"version": "v1"
}
] | 2017-09-27 | [
[
"Boulanger",
"N.",
""
],
[
"Henneaux",
"M.",
""
]
] | In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the metric (i.e., terms of the form $\partial^4 g_{\mu \nu}$, $\partial^3 g_{\mu \nu} \partial g_{\alpha \beta}$, $\partial^2 g_{\mu \nu} \partial^2g_{\alpha \beta}$, $\partial^2 g_{\mu \nu} \partial g_{\alpha \beta} \partial g_{\rho \sigma}$ or $\partial g_{\mu \nu} \partial g_{\alpha \beta} \partial g_{\rho \sigma} \partial g_{\gamma \delta}$ with coefficients that involve undifferentiated metric components - or terms with less derivatives) is given by the Weyl action $\int d^4x \sqrt{-g} W_{\a\b\g\d} W^{\a\b\g\d}$, in much the same way as the Einstein-Hilbert action describes the only consistent manner to make a Pauli-Fierz massless spin-2 field self-interact with no more than 2 derivatives. No a priori requirement of invariance under diffeomorphisms is imposed: this follows automatically from consistency. (ii) We then turn to "multi-Weyl graviton" theories. We show the impossibility to introduce cross-interactions between the different types of Weyl gravitons if one requests that the action reduces, in the free limit, to a sum of linearized Weyl actions. However, if different free limits are authorized, cross-couplings become possible. An explicit example is given. We discuss also how the results extend to other spacetime dimensions. |
1201.0129 | Somdeb Chakraborty | Somdeb Chakraborty, Najmul Haque and Shibaji Roy | Wilson loops in noncommutative Yang-Mills theory using gauge/gravity
duality | Latex file, 24 pages, 12 figures, v2, 28 pages, more clarifications
and references added, to appear in Nuclear Physics B | Nucl.Phys. B862 (2012) 650-670 | 10.1016/j.nuclphysb.2012.05.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the gauge/gravity duality and the Maldacena prescription we compute
the expectation values of the Wilson loops in noncommutative Yang-Mills (NCYM)
theory in (3+1) dimensions. We consider both the time-like and the light-like
Wilson loops. The gravity dual background is given by a particular decoupling
limit of (D1,D3) bound state of type IIB string theory. We obtain the velocity
dependent quark-antiquark potential and numerically study how the dipole length
and the potential change with velocity (for 0 < v < 1, i.e., the Wilson loop is
time-like) of the dipole as well as noncommutativity. We discuss and compare
the results with the known commutative results. We also obtain an analytic
expression for the screening length when the rapidity is large and the
noncommutativity parameter is small with the product remaining small. When v
\rightarrow 1, the time-like Wilson loop becomes light-like and in that case we
obtain the form of the jet quenching parameter for the strongly coupled
noncommutative Yang-Mills plasma which matches with our earlier results
obtained using different method.
| [
{
"created": "Fri, 30 Dec 2011 14:09:22 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2012 10:50:47 GMT",
"version": "v2"
}
] | 2015-02-03 | [
[
"Chakraborty",
"Somdeb",
""
],
[
"Haque",
"Najmul",
""
],
[
"Roy",
"Shibaji",
""
]
] | By using the gauge/gravity duality and the Maldacena prescription we compute the expectation values of the Wilson loops in noncommutative Yang-Mills (NCYM) theory in (3+1) dimensions. We consider both the time-like and the light-like Wilson loops. The gravity dual background is given by a particular decoupling limit of (D1,D3) bound state of type IIB string theory. We obtain the velocity dependent quark-antiquark potential and numerically study how the dipole length and the potential change with velocity (for 0 < v < 1, i.e., the Wilson loop is time-like) of the dipole as well as noncommutativity. We discuss and compare the results with the known commutative results. We also obtain an analytic expression for the screening length when the rapidity is large and the noncommutativity parameter is small with the product remaining small. When v \rightarrow 1, the time-like Wilson loop becomes light-like and in that case we obtain the form of the jet quenching parameter for the strongly coupled noncommutative Yang-Mills plasma which matches with our earlier results obtained using different method. |
hep-th/0409050 | Michael Gutperle | Michael Gutperle and Piljin Yi | Winding Strings and Decay of D-Branes with Flux | 14 pages, harvmac, minor changes, clarified gauge choice, version to
appear in JHEP | JHEP0501:015,2005 | 10.1088/1126-6708/2005/01/015 | UCLA/04/TEP-36, KIAS-P04036 | hep-th | null | We study the boundary state associated with the decay of an unstable D-brane
with uniform electric field, 1>e>0 in the string units. Compactifying the
D-brane along the direction of the electric field, we find that the decay
process is dominated by production of closed strings with some winding numbers;
closed strings produced are such that the winding mode carries precisely the
fraction $e$ of the individual string energy. This supports the conjecture that
the final state at tree level is composed of winding strings with heavy
oscillations turned on. As a corollary, we argue that the closed strings
disperse into spacetime at a much slower rate than the case without electric
field.
| [
{
"created": "Fri, 3 Sep 2004 16:12:09 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jan 2005 01:57:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gutperle",
"Michael",
""
],
[
"Yi",
"Piljin",
""
]
] | We study the boundary state associated with the decay of an unstable D-brane with uniform electric field, 1>e>0 in the string units. Compactifying the D-brane along the direction of the electric field, we find that the decay process is dominated by production of closed strings with some winding numbers; closed strings produced are such that the winding mode carries precisely the fraction $e$ of the individual string energy. This supports the conjecture that the final state at tree level is composed of winding strings with heavy oscillations turned on. As a corollary, we argue that the closed strings disperse into spacetime at a much slower rate than the case without electric field. |
1806.02821 | Meer Ashwinkumar | Meer Ashwinkumar, Meng-Chwan Tan, Qin Zhao | Branes and Categorifying Integrable Lattice Models | 19 pp. Minor improvements and typos corrected. To appear in ATMP | Adv.Theor.Math.Phys.24: 1-24, 2020 | 10.4310/ATMP.2020.v24.n1.a1 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elucidate how integrable lattice models described by Costello's 4d
Chern-Simons theory can be realized via a stack of D4-branes ending on an
NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume
sourcing a meromorphic RR 1-form, and fundamental strings forming the lattice.
This provides us with a nonperturbative integration cycle for the 4d
Chern-Simons theory, and by applying T- and S-duality, we show how the
R-matrix, the Yang-Baxter equation and the Yangian can be categorified, that
is, obtained via the Hilbert space of a 6d gauge theory.
| [
{
"created": "Thu, 7 Jun 2018 17:57:42 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2018 17:55:58 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Jun 2018 17:44:30 GMT",
"version": "v3"
},
{
"created": "Thu, 12 Jul 2018 17:00:00 GMT",
"version": "v4"
},
{
"created": "Thu, 31 Jan 2019 18:54:51 GMT",
"version": "v5"
},
{
"created": "Thu, 9 May 2019 17:59:08 GMT",
"version": "v6"
}
] | 2020-07-01 | [
[
"Ashwinkumar",
"Meer",
""
],
[
"Tan",
"Meng-Chwan",
""
],
[
"Zhao",
"Qin",
""
]
] | We elucidate how integrable lattice models described by Costello's 4d Chern-Simons theory can be realized via a stack of D4-branes ending on an NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume sourcing a meromorphic RR 1-form, and fundamental strings forming the lattice. This provides us with a nonperturbative integration cycle for the 4d Chern-Simons theory, and by applying T- and S-duality, we show how the R-matrix, the Yang-Baxter equation and the Yangian can be categorified, that is, obtained via the Hilbert space of a 6d gauge theory. |
hep-th/9606132 | null | Giampiero Esposito, Alexander Yu. Kamenshchik and Klaus Kirsten | One-Loop Effective Action for Euclidean Maxwell Theory on Manifolds with
Boundary | 25 pages, Revtex | Phys.Rev. D54 (1996) 7328-7337 | 10.1103/PhysRevD.54.7328 | DSF preprint 96/27 | hep-th | null | This paper studies the one-loop effective action for Euclidean Maxwell theory
about flat four-space bounded by one three-sphere, or two concentric
three-spheres. The analysis relies on Faddeev-Popov formalism and
$\zeta$-function regularization, and the Lorentz gauge-averaging term is used
with magnetic boundary conditions. The contributions of transverse,
longitudinal and normal modes of the electromagnetic potential, jointly with
ghost modes, are derived in detail. The most difficult part of the analysis
consists in the eigenvalue condition given by the determinant of a $2 \times 2$
or $4 \times 4$ matrix for longitudinal and normal modes. It is shown that the
former splits into a sum of Dirichlet and Robin contributions, plus a simpler
term. This is the quantum cosmological case. In the latter case, however, when
magnetic boundary conditions are imposed on two bounding three-spheres, the
determinant is more involved. Nevertheless, it is evaluated explicitly as well.
The whole analysis provides the building block for studying the one-loop
effective action in covariant gauges, on manifolds with boundary. The final
result differs from the value obtained when only transverse modes are
quantized, or when noncovariant gauges are used.
| [
{
"created": "Thu, 20 Jun 1996 17:17:58 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Esposito",
"Giampiero",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Kirsten",
"Klaus",
""
]
] | This paper studies the one-loop effective action for Euclidean Maxwell theory about flat four-space bounded by one three-sphere, or two concentric three-spheres. The analysis relies on Faddeev-Popov formalism and $\zeta$-function regularization, and the Lorentz gauge-averaging term is used with magnetic boundary conditions. The contributions of transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes, are derived in detail. The most difficult part of the analysis consists in the eigenvalue condition given by the determinant of a $2 \times 2$ or $4 \times 4$ matrix for longitudinal and normal modes. It is shown that the former splits into a sum of Dirichlet and Robin contributions, plus a simpler term. This is the quantum cosmological case. In the latter case, however, when magnetic boundary conditions are imposed on two bounding three-spheres, the determinant is more involved. Nevertheless, it is evaluated explicitly as well. The whole analysis provides the building block for studying the one-loop effective action in covariant gauges, on manifolds with boundary. The final result differs from the value obtained when only transverse modes are quantized, or when noncovariant gauges are used. |
2407.13327 | Koushik Ray | Koushik Ray | On entropy and complexity of coherent states | 10 pages | null | null | null | hep-th math-ph math.MP math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Consanguinity of entropy and complexity is pointed out through the example of
coherent states of the $SL(2,\C)$ group. Both are obtained from the K\"ahler
potential of the underlying geometry of the sphere corresponding to the
Fubini-Study metric. Entropy is shown to be equal to the K\"ahler potential
written in terms of dual symplectic variables as the Guillemin potential for
toric manifolds. The logarithm of complexity relating two states is shown to be
equal to Calabi's diastasis function. Optimality of the Fubini-Study metric is
indicated by considering its deformation.
| [
{
"created": "Thu, 18 Jul 2024 09:28:54 GMT",
"version": "v1"
}
] | 2024-07-19 | [
[
"Ray",
"Koushik",
""
]
] | Consanguinity of entropy and complexity is pointed out through the example of coherent states of the $SL(2,\C)$ group. Both are obtained from the K\"ahler potential of the underlying geometry of the sphere corresponding to the Fubini-Study metric. Entropy is shown to be equal to the K\"ahler potential written in terms of dual symplectic variables as the Guillemin potential for toric manifolds. The logarithm of complexity relating two states is shown to be equal to Calabi's diastasis function. Optimality of the Fubini-Study metric is indicated by considering its deformation. |
hep-th/9906244 | Fidel Schaposnik | N. Grandi, R.L. Pakman, F.A.Schaposnik and G. Silva | Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory | 15 pages, 3 figures | Phys.Rev. D60 (1999) 125002 | 10.1103/PhysRevD.60.125002 | La Plata - Th 99/06 | hep-th | null | We present dyon solutions to an SU(2) Dirac-Born-Infeld (DBI) gauge theory
coupled to a Higgs triplet. We consider different non-Abelian extensions of the
DBI action and study the resulting solutions numerically, comparing them with
the standard Julia-Zee dyons. We discuss the existence of a critical value of
$\beta$, the Born-Infeld absolute field parameter, below which the solution
ceases to exist. We also analyse the effect of modifying the DBI action so as
to include the analogous of the $\theta$ term, showing that Witten formula for
the dyon charge also holds in DBI theories.
| [
{
"created": "Wed, 30 Jun 1999 14:57:54 GMT",
"version": "v1"
}
] | 2009-08-13 | [
[
"Grandi",
"N.",
""
],
[
"Pakman",
"R. L.",
""
],
[
"Schaposnik",
"F. A.",
""
],
[
"Silva",
"G.",
""
]
] | We present dyon solutions to an SU(2) Dirac-Born-Infeld (DBI) gauge theory coupled to a Higgs triplet. We consider different non-Abelian extensions of the DBI action and study the resulting solutions numerically, comparing them with the standard Julia-Zee dyons. We discuss the existence of a critical value of $\beta$, the Born-Infeld absolute field parameter, below which the solution ceases to exist. We also analyse the effect of modifying the DBI action so as to include the analogous of the $\theta$ term, showing that Witten formula for the dyon charge also holds in DBI theories. |
hep-th/0208055 | Kellogg S. Stelle | K.S. Stelle | Domain Walls and Spaces of Special Holonomy | 9 pages, Latex, uses amssymb macro | "Supersymmetries and Quantum Symmetries," Proc. XVI Max Born
Symposium (Karpacz, Poland, September 21-25, 2001), Eds E. Ivanov, S.
Krivonos, J. Lukierski and A. Pashnev (Dubna, JINR, 2002); pp 86-95 | null | Imperial/TP/1-02/24 | hep-th | null | We review the relations between a family of domain-wall solutions to M-theory
and gravitational instantons with special holonomy. When oxidized into the
maximal-dimension parent supergravity, the transverse spaces of these domain
walls become cohomogeneity-one spaces with generalized Heisenberg symmetries
and a homothetic conformal symmetry. These metrics may also be obtained as
scaling limits of generalized Eguchi-Hanson metrics, or, with appropriate
discrete identifications, from generalized Atiyah-Hitchin metrics, thus
providing field-theoretic realizations of string-theory orientifolds.
| [
{
"created": "Wed, 7 Aug 2002 15:34:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Stelle",
"K. S.",
""
]
] | We review the relations between a family of domain-wall solutions to M-theory and gravitational instantons with special holonomy. When oxidized into the maximal-dimension parent supergravity, the transverse spaces of these domain walls become cohomogeneity-one spaces with generalized Heisenberg symmetries and a homothetic conformal symmetry. These metrics may also be obtained as scaling limits of generalized Eguchi-Hanson metrics, or, with appropriate discrete identifications, from generalized Atiyah-Hitchin metrics, thus providing field-theoretic realizations of string-theory orientifolds. |
hep-th/0109191 | Giovanni Amelino-Camelia | Giovanni Amelino-Camelia, Luisa Doplicher, Soonkeon Nam, Yun-Seok Seo | Phenomenology of Particle Production and Propagation in String-Motivated
Canonical Noncommutative Spacetime | With respect to the experimental information available at the time of
writing version 1 of this manuscript (hep-th/0109191v1) the situation has
evolved significantly. Our remarks on the benefits of high-energy
observations found additional encouragement from the results reported in
hep-th/0209254 | Phys.Rev.D67:085008,2003 | 10.1103/PhysRevD.67.085008 | null | hep-th | null | We outline a phenomenological programme for the search of effects induced by
(string-motivated) canonical noncommutative spacetime. The tests we propose are
based, in analogy with a corresponding programme developed over the last few
years for the study of Lie-algebra noncommutative spacetimes, on the role of
the noncommutativity parameters in the $E(p)$ dispersion relation. We focus on
the role of deformed dispersion relations in particle-production collision
processes, where the noncommutativity parameters would affect the threshold
equation, and in the dispersion of gamma rays observed from distant
astrophysical sources. We emphasize that the studies here proposed have the
advantage of involving particles of relatively high energies, and may therefore
be less sensitive to "contamination" (through IR/UV mixing) from the UV sector
of the theory. We also explore the possibility that the relevant deformation of
the dispersion relations could be responsible for the experimentally-observed
violations of the GZK cutoff for cosmic rays and could have a role in the
observation of hard photons from distant astrophysical sources.
| [
{
"created": "Tue, 25 Sep 2001 00:04:59 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2002 23:48:50 GMT",
"version": "v2"
}
] | 2010-02-05 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Doplicher",
"Luisa",
""
],
[
"Nam",
"Soonkeon",
""
],
[
"Seo",
"Yun-Seok",
""
]
] | We outline a phenomenological programme for the search of effects induced by (string-motivated) canonical noncommutative spacetime. The tests we propose are based, in analogy with a corresponding programme developed over the last few years for the study of Lie-algebra noncommutative spacetimes, on the role of the noncommutativity parameters in the $E(p)$ dispersion relation. We focus on the role of deformed dispersion relations in particle-production collision processes, where the noncommutativity parameters would affect the threshold equation, and in the dispersion of gamma rays observed from distant astrophysical sources. We emphasize that the studies here proposed have the advantage of involving particles of relatively high energies, and may therefore be less sensitive to "contamination" (through IR/UV mixing) from the UV sector of the theory. We also explore the possibility that the relevant deformation of the dispersion relations could be responsible for the experimentally-observed violations of the GZK cutoff for cosmic rays and could have a role in the observation of hard photons from distant astrophysical sources. |
2305.17089 | Fotis Farakos | Ioannis Dalianis, Fotis Farakos and Alex Kehagias | Is Gauge Mediation in the Swampland? | 7 pages, accepted in PLB | null | 10.1016/j.physletb.2023.138077 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We note that the typical gauge mediation of supersymmetry breaking is in
tension with the global limit of the festina lente swampland bound. The
alternatives are mediation/breaking schemes that decouple together with
gravity, as for example gravity mediation, for which we highlight some basic
phenomenological properties. Gauge mediation remains instead a viable mechanism
only in models where supersymmetry is restored in the global limit, as for
example in no-scale supergravity.
| [
{
"created": "Fri, 26 May 2023 16:56:26 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2023 11:49:36 GMT",
"version": "v2"
}
] | 2023-08-09 | [
[
"Dalianis",
"Ioannis",
""
],
[
"Farakos",
"Fotis",
""
],
[
"Kehagias",
"Alex",
""
]
] | We note that the typical gauge mediation of supersymmetry breaking is in tension with the global limit of the festina lente swampland bound. The alternatives are mediation/breaking schemes that decouple together with gravity, as for example gravity mediation, for which we highlight some basic phenomenological properties. Gauge mediation remains instead a viable mechanism only in models where supersymmetry is restored in the global limit, as for example in no-scale supergravity. |
hep-th/9407156 | Kh. S. Nirov | Kh. S. Nirov | Constraint Algebras in Gauge Invariant Systems | 15 pages, LaTeX file, INR 860/94 | Int.J.Mod.Phys. A10 (1995) 4087-4106 | 10.1142/S0217751X95001893 | null | hep-th | null | The Hamiltonian description for a wide class of mechanical systems, having
local symmetry transformations depending on time derivatives of the gauge
parameters of arbitrary order, is constructed. The Poisson brackets of the
Hamiltonian and constraints with each other and with arbitrary function are
explicitly obtained. The constraint algebra is proved to be the first class.
| [
{
"created": "Fri, 22 Jul 1994 17:24:16 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Nirov",
"Kh. S.",
""
]
] | The Hamiltonian description for a wide class of mechanical systems, having local symmetry transformations depending on time derivatives of the gauge parameters of arbitrary order, is constructed. The Poisson brackets of the Hamiltonian and constraints with each other and with arbitrary function are explicitly obtained. The constraint algebra is proved to be the first class. |
0909.5681 | Kory Stiffler | Kory Stiffler | Mesons From String Theory | 5 pages, 4 figures. Corrected acknowledgments. To be published in the
proceedings of DPF-2009, Detroit, MI, July 2009, eConf C090726 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A brief historical synopsis of the connection between gauge theories and
string theory is given. Meson configurations known as k-strings are examined
from string theory via the gauge/gravity correspondence. Backgrounds dual to
k-strings in both 2+1 and 3+1 are discussed. The energy of k-strings to lowest
order consists of a tension term, proportional to the length, L, of the
k-string, i.e., the size of the mesons in the configuration. The first quantum
correction is a Coulombic 1/L correction, known as a Luscher term, plus a
constant. Acquiring tensions and Luscher terms via the gauge/gravity
correspondence is discussed.
| [
{
"created": "Wed, 30 Sep 2009 18:02:15 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Oct 2009 18:43:57 GMT",
"version": "v2"
}
] | 2009-10-01 | [
[
"Stiffler",
"Kory",
""
]
] | A brief historical synopsis of the connection between gauge theories and string theory is given. Meson configurations known as k-strings are examined from string theory via the gauge/gravity correspondence. Backgrounds dual to k-strings in both 2+1 and 3+1 are discussed. The energy of k-strings to lowest order consists of a tension term, proportional to the length, L, of the k-string, i.e., the size of the mesons in the configuration. The first quantum correction is a Coulombic 1/L correction, known as a Luscher term, plus a constant. Acquiring tensions and Luscher terms via the gauge/gravity correspondence is discussed. |
2405.13696 | Mithat Unsal | Canberk G\"uvendik, Thomas Schaefer, Mithat \"Unsal | The metamorphosis of semi-classical mechanisms of confinement: From
monopoles on ${\mathbb R}^3 \times S^1$ to center-vortices on ${\mathbb R}^2
\times T^2$ | 30 pages, 5 figures | null | null | null | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | There are two distinct regimes of Yang-Mills theory where we can demonstrate
confinement, the existence of a mass gap, and fractional theta angle dependence
using a reliable semi-classical calculation. The two regimes are Yang-Mills
theory on $S^1 \times {\mathbb R}^3$ with a small circle and a double-trace
deformation, and Yang-Mills theory on $T^2 \times {\mathbb R}^2$ where the
torus $T^2$ is small and threaded by a 't Hooft flux. In the first case the
confinement mechanism is related to self-dual monopoles, whereas in the second
case self-dual center-vortices play a crucial role. These two topological
objects are distinct. In particular, they have different mutual statistics with
Wilson loops. On the other hand, they carry the same topological charge and
action. On ${\mathbb R \times T^2 \times S^1}$, we are able to extrapolate both
monopole regime and vortex regime to a quantum mechanical domain, where a
cross-over takes place. Both sides of the cross-over are described by a
deformed $\mathbb Z_N$ TQFT. On ${\mathbb R^2 \times S^1 \times S^1}$, we
derive the effective field theory of vortices from the effective theory of
monopoles in the presence of a 't Hooft flux. This results from a two-stage
adjoint Higgs mechanism, to $U(1)^{N-1}$ in 3d first and a $\mathbb Z_N$ EFT in
2d second. This proves adiabatic continuity of the two confinement mechanisms
across dimensions and shows how monopoles and their magnetic flux transmute
into center-vortices. This basic mechanism is flux fractionalization: The
magnetic flux of the monopoles fractionalizes and collimates in such a way that
2d Wilson loops detect it as a center vortex.
| [
{
"created": "Wed, 22 May 2024 14:41:45 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2024 14:59:10 GMT",
"version": "v2"
}
] | 2024-05-31 | [
[
"Güvendik",
"Canberk",
""
],
[
"Schaefer",
"Thomas",
""
],
[
"Ünsal",
"Mithat",
""
]
] | There are two distinct regimes of Yang-Mills theory where we can demonstrate confinement, the existence of a mass gap, and fractional theta angle dependence using a reliable semi-classical calculation. The two regimes are Yang-Mills theory on $S^1 \times {\mathbb R}^3$ with a small circle and a double-trace deformation, and Yang-Mills theory on $T^2 \times {\mathbb R}^2$ where the torus $T^2$ is small and threaded by a 't Hooft flux. In the first case the confinement mechanism is related to self-dual monopoles, whereas in the second case self-dual center-vortices play a crucial role. These two topological objects are distinct. In particular, they have different mutual statistics with Wilson loops. On the other hand, they carry the same topological charge and action. On ${\mathbb R \times T^2 \times S^1}$, we are able to extrapolate both monopole regime and vortex regime to a quantum mechanical domain, where a cross-over takes place. Both sides of the cross-over are described by a deformed $\mathbb Z_N$ TQFT. On ${\mathbb R^2 \times S^1 \times S^1}$, we derive the effective field theory of vortices from the effective theory of monopoles in the presence of a 't Hooft flux. This results from a two-stage adjoint Higgs mechanism, to $U(1)^{N-1}$ in 3d first and a $\mathbb Z_N$ EFT in 2d second. This proves adiabatic continuity of the two confinement mechanisms across dimensions and shows how monopoles and their magnetic flux transmute into center-vortices. This basic mechanism is flux fractionalization: The magnetic flux of the monopoles fractionalizes and collimates in such a way that 2d Wilson loops detect it as a center vortex. |
2301.12170 | Akihiro Ishibashi | Akihiro Ishibashi, Kengo Maeda, and Takashi Okamura | Semiclassical Einstein equations from holography and boundary dynamics | 34 page, 4 figures; one figure and refs added, some clarifications
made, version to appear in JHEP | null | 10.1007/JHEP05(2023)212 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider how to formulate semiclassical problems in the
context of the AdS/CFT correspondence, based on the proposal of Compere and
Marolf. Our prescription involves the effective action with self-action term
for boundary dynamical fields, which can be viewed as imposing mixed boundary
conditions for the gravity dual. We derive the semiclassical Einstein equations
sourced by boundary CFT stress-energy tensor. Analyzing perturbations of the
holographic semiclassical Einstein equations, we find a universal parameter
$\gamma_d$ which controls the contribution from boundary CFTs and specifies
dynamics on the AdS boundary. As a simple example, we examine the semiclassical
Einstein equations in $3$-dimensions with $4$-dimensional AdS gravity dual, and
show that the boundary BTZ black hole with vanishing expectation value of the
stress-energy tensor becomes unstable due to the backreaction from quantum
stress-energy tensor when the parameter $\gamma_d$ exceeds a certain critical
value.
| [
{
"created": "Sat, 28 Jan 2023 11:48:31 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2023 23:56:18 GMT",
"version": "v2"
}
] | 2023-06-19 | [
[
"Ishibashi",
"Akihiro",
""
],
[
"Maeda",
"Kengo",
""
],
[
"Okamura",
"Takashi",
""
]
] | In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary dynamical fields, which can be viewed as imposing mixed boundary conditions for the gravity dual. We derive the semiclassical Einstein equations sourced by boundary CFT stress-energy tensor. Analyzing perturbations of the holographic semiclassical Einstein equations, we find a universal parameter $\gamma_d$ which controls the contribution from boundary CFTs and specifies dynamics on the AdS boundary. As a simple example, we examine the semiclassical Einstein equations in $3$-dimensions with $4$-dimensional AdS gravity dual, and show that the boundary BTZ black hole with vanishing expectation value of the stress-energy tensor becomes unstable due to the backreaction from quantum stress-energy tensor when the parameter $\gamma_d$ exceeds a certain critical value. |
0808.1886 | Davide Fioravanti | Davide Fioravanti, Paolo Grinza and Marco Rossi | The generalised scaling function: a systematic study | Latex version, journal version (with explanatory appendices and more
references) | JHEP 0911:037,2009 | 10.1088/1126-6708/2009/11/037 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a procedure for determining the generalised scaling functions
$f_n(g)$ at all the values of the coupling constant. These functions describe
the high spin contribution to the anomalous dimension of large twist operators
(in the $sl(2)$ sector) of ${\cal N}=4$ SYM. At fixed $n$, $f_n(g)$ can be
obtained by solving a linear integral equation (or, equivalently, a linear
system with an infinite number of equations), whose inhomogeneous term only
depends on the solutions at smaller $n$. In other words, the solution can be
written in a recursive form and then explicitly worked out in the strong
coupling regime. In this regime, we also emphasise the peculiar convergence of
different quantities ('masses', related to the $f_n(g)$) to the unique mass gap
of the $O(6)$ nonlinear sigma model and analyse the first next-to-leading order
corrections.
| [
{
"created": "Wed, 13 Aug 2008 19:53:41 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2011 19:35:23 GMT",
"version": "v2"
}
] | 2011-02-17 | [
[
"Fioravanti",
"Davide",
""
],
[
"Grinza",
"Paolo",
""
],
[
"Rossi",
"Marco",
""
]
] | We describe a procedure for determining the generalised scaling functions $f_n(g)$ at all the values of the coupling constant. These functions describe the high spin contribution to the anomalous dimension of large twist operators (in the $sl(2)$ sector) of ${\cal N}=4$ SYM. At fixed $n$, $f_n(g)$ can be obtained by solving a linear integral equation (or, equivalently, a linear system with an infinite number of equations), whose inhomogeneous term only depends on the solutions at smaller $n$. In other words, the solution can be written in a recursive form and then explicitly worked out in the strong coupling regime. In this regime, we also emphasise the peculiar convergence of different quantities ('masses', related to the $f_n(g)$) to the unique mass gap of the $O(6)$ nonlinear sigma model and analyse the first next-to-leading order corrections. |
hep-th/9511073 | Thomas Roos | Thomas G. Roos | Wilson Renormalization Group Study of Inverse Symmetry Breaking | 40 pages LaTeX, 13 Postscript figures. Uses epsf.sty, amssym.def,
amssym.tex. No changes. Replaced to correct a problem with the figures | Phys.Rev. D54 (1996) 2944 | 10.1103/PhysRevD.54.2944 | CLNS 95/1373 | hep-th hep-ph | null | For a large class of field theories there exist portions of parameter space
for which the loop expansion predicts increased symmetry breaking at high
temperature. Even though this behavior would clearly have far reaching
implications for cosmology such theories have not been fully investigated in
the literature. This is at least partially due to the counter intuitive nature
of the result, which has led to speculations that it is merely an artifact of
perturbation theory. To address this issue we study the simplest model
displaying high temperature symmetry breaking using a Wilson renormalization
group approach. We find that although the critical temperature is not reliably
estimated by the loop expansion the total volume of parameter space which leads
to the inverse phase structure is not significantly different from the
perturbative prediction. We also investigate the temperature dependence of the
coupling constants and find that they run approximately according to their
one-loop $\beta$-functions at high temperature. Thus, in particular, the
quartic coupling of $phi^4$ theory is shown to increase with temperature, in
contrast to the behavior obtained in some previous studies.
| [
{
"created": "Fri, 10 Nov 1995 22:47:01 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 1996 00:06:43 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Aug 1997 19:26:23 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Roos",
"Thomas G.",
""
]
] | For a large class of field theories there exist portions of parameter space for which the loop expansion predicts increased symmetry breaking at high temperature. Even though this behavior would clearly have far reaching implications for cosmology such theories have not been fully investigated in the literature. This is at least partially due to the counter intuitive nature of the result, which has led to speculations that it is merely an artifact of perturbation theory. To address this issue we study the simplest model displaying high temperature symmetry breaking using a Wilson renormalization group approach. We find that although the critical temperature is not reliably estimated by the loop expansion the total volume of parameter space which leads to the inverse phase structure is not significantly different from the perturbative prediction. We also investigate the temperature dependence of the coupling constants and find that they run approximately according to their one-loop $\beta$-functions at high temperature. Thus, in particular, the quartic coupling of $phi^4$ theory is shown to increase with temperature, in contrast to the behavior obtained in some previous studies. |
1310.6479 | David Ridout | David Ridout and Simon Wood | Modular Transformations and Verlinde Formulae for Logarithmic
$(p_+,p_-)$-Models | 22 pages, v2 minor changes; added refs | Nucl Phys B 880 2014 175-202 | 10.1016/j.nuclphysb.2014.01.010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $(p_+,p_-)$ singlet algebra is a vertex operator algebra that is strongly
generated by a Virasoro field of central charge $1-6(p_+-p_-)^2/p_+p_-$ and a
single Virasoro primary field of conformal weight $(2p_+-1)(2p_--1)$. Here, the
modular properties of the characters of the uncountably many simple modules of
each singlet algebra are investigated and the results used as the input to a
continuous analogue of the Verlinde formula to obtain the "fusion rules" of the
singlet modules. The effect of the failure of fusion to be exact in general is
studied at the level of Verlinde products and the rules derived are lifted to
the $(p_+,p_-)$ triplet algebras by regarding these algebras as simple current
extensions of their singlet cousins. The result is a relatively effortless
derivation of the triplet "fusion rules" that agrees with those previously
proposed in the literature.
| [
{
"created": "Thu, 24 Oct 2013 04:23:03 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2014 00:18:34 GMT",
"version": "v2"
}
] | 2014-02-13 | [
[
"Ridout",
"David",
""
],
[
"Wood",
"Simon",
""
]
] | The $(p_+,p_-)$ singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge $1-6(p_+-p_-)^2/p_+p_-$ and a single Virasoro primary field of conformal weight $(2p_+-1)(2p_--1)$. Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analogue of the Verlinde formula to obtain the "fusion rules" of the singlet modules. The effect of the failure of fusion to be exact in general is studied at the level of Verlinde products and the rules derived are lifted to the $(p_+,p_-)$ triplet algebras by regarding these algebras as simple current extensions of their singlet cousins. The result is a relatively effortless derivation of the triplet "fusion rules" that agrees with those previously proposed in the literature. |
1804.03369 | Takahisa Igata | Takahisa Igata | Scale invariance and constants of motion | 9 pages; v2:published version in PTEP | PTEP 2018 (2018) 063E01 | 10.1093/ptep/pty060 | RUP-18-12 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scale invariance in the theory of classical mechanics can be induced from the
scale invariance of background fields. In this paper we consider the relation
between the scale invariance and the constants of particle motion in a
self-similar spacetime, only in which the symmetry is well-defined and is
generated by a homothetic vector. Relaxing the usual conservation condition by
the Hamiltonian constraint in a particle system, we obtain a conservation law
holding only on the constraint surface in the phase space. By the conservation
law, we characterize constants of motion associated with the scale invariance
not only for massless particles but for massive particles and classify the
condition for the existence of the constants of motion. Furthermore, we find
the explicit form of the constants of motion by solving the conservation
equations.
| [
{
"created": "Tue, 10 Apr 2018 06:58:50 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jun 2018 02:24:25 GMT",
"version": "v2"
}
] | 2018-06-26 | [
[
"Igata",
"Takahisa",
""
]
] | Scale invariance in the theory of classical mechanics can be induced from the scale invariance of background fields. In this paper we consider the relation between the scale invariance and the constants of particle motion in a self-similar spacetime, only in which the symmetry is well-defined and is generated by a homothetic vector. Relaxing the usual conservation condition by the Hamiltonian constraint in a particle system, we obtain a conservation law holding only on the constraint surface in the phase space. By the conservation law, we characterize constants of motion associated with the scale invariance not only for massless particles but for massive particles and classify the condition for the existence of the constants of motion. Furthermore, we find the explicit form of the constants of motion by solving the conservation equations. |
2101.07484 | Minxin Huang | Bao-ning Du, Min-xin Huang | Free BMN Correlators With More Stringy Modes | 39 pages, 3 figures. v2: journal version, references added | null | 10.1007/JHEP03(2021)246 | USTC-ICTS/PCFT-21-04 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the type IIB maximally supersymmetric pp-wave background, stringy excited
modes are described by BMN (Berenstein-Madalcena-Nastase) operators in the dual
$\mathcal{N}=4$ super-Yang-Mills theory. In this paper, we continue the studies
of higher genus free BMN correlators with more stringy modes, mostly focusing
on the case of genus one and four stringy modes in different transverse
directions. Surprisingly, we find that the non negativity of torus two-point
functions, which is a consequence of a previously proposed probability
interpretation and has been verified in the cases with two and three stringy
modes, is no longer true for the case of four or more stringy modes.
Nevertheless, the factorization formula, which is also a proposed holographic
dictionary relating the torus two-point function to a string diagram
calculation, is still valid. We also check the correspondence of planar
three-point functions with Green-Schwarz string vertex with many string modes.
We discuss some issues in the case of multiple stringy modes in the same
transverse direction. Our calculations provide some new perspectives on pp-wave
holography.
| [
{
"created": "Tue, 19 Jan 2021 07:06:31 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2021 13:34:33 GMT",
"version": "v2"
}
] | 2021-04-14 | [
[
"Du",
"Bao-ning",
""
],
[
"Huang",
"Min-xin",
""
]
] | In the type IIB maximally supersymmetric pp-wave background, stringy excited modes are described by BMN (Berenstein-Madalcena-Nastase) operators in the dual $\mathcal{N}=4$ super-Yang-Mills theory. In this paper, we continue the studies of higher genus free BMN correlators with more stringy modes, mostly focusing on the case of genus one and four stringy modes in different transverse directions. Surprisingly, we find that the non negativity of torus two-point functions, which is a consequence of a previously proposed probability interpretation and has been verified in the cases with two and three stringy modes, is no longer true for the case of four or more stringy modes. Nevertheless, the factorization formula, which is also a proposed holographic dictionary relating the torus two-point function to a string diagram calculation, is still valid. We also check the correspondence of planar three-point functions with Green-Schwarz string vertex with many string modes. We discuss some issues in the case of multiple stringy modes in the same transverse direction. Our calculations provide some new perspectives on pp-wave holography. |
hep-th/9608108 | Igor Klebanov | Steven S. Gubser and Igor R. Klebanov | Emission of charged particles from four- and five-dimensional black
holes | 15 pages, latex; typos corrected, a reference added | Nucl.Phys. B482 (1996) 173-186 | 10.1016/S0550-3213(96)00496-8 | PUPT-1644 | hep-th | null | Recently Das and Mathur found that the leading order Hawking emission rate of
neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a
string theoretic model involving intersecting D-branes. We show that the
agreement continues to hold for charged scalar emission. We further show that
similar agreement can be obtained for a class of near-extremal $D=4$ black
holes using a model inspired by M-theory. In this model, BPS saturated $D=4$
black holes with four charges are realized in M-theory as 5-branes triply
intersecting over a string. The low-energy excitations are signals traveling on
the intersection string.
| [
{
"created": "Thu, 15 Aug 1996 22:50:19 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 1996 22:06:39 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Sep 1996 21:35:50 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Gubser",
"Steven S.",
""
],
[
"Klebanov",
"Igor R.",
""
]
] | Recently Das and Mathur found that the leading order Hawking emission rate of neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a string theoretic model involving intersecting D-branes. We show that the agreement continues to hold for charged scalar emission. We further show that similar agreement can be obtained for a class of near-extremal $D=4$ black holes using a model inspired by M-theory. In this model, BPS saturated $D=4$ black holes with four charges are realized in M-theory as 5-branes triply intersecting over a string. The low-energy excitations are signals traveling on the intersection string. |
1912.09402 | Milan Patra | Milan Patra | Comparison between fluid-gravity and membrane-gravity dualities for
Einstein-Maxwell system | 31 pages + 3 pages appendices | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Derivative expansion and large-$D$ expansion are two perturbation techniques,
which are used to generate dynamical black-brane solutions to Einstein's
equations in presence of negative cosmological constant. In this note we have
compared these two techniques and established the equivalence of the gravity
solutions generated by these two different techniques in appropriate regime of
parameter space up to first non-trivial order in both the perturbation
parameters for Einstein-Maxwell systems, generalizing the earlier works of
[arXiv:1807.05058], [arXiv:1902.00854] for non-charged systems. An one-to-one
map between dynamical black-brane geometry and AdS space, which also exists at
finite number of dimensions, has also been established.
| [
{
"created": "Thu, 19 Dec 2019 17:23:05 GMT",
"version": "v1"
}
] | 2019-12-20 | [
[
"Patra",
"Milan",
""
]
] | Derivative expansion and large-$D$ expansion are two perturbation techniques, which are used to generate dynamical black-brane solutions to Einstein's equations in presence of negative cosmological constant. In this note we have compared these two techniques and established the equivalence of the gravity solutions generated by these two different techniques in appropriate regime of parameter space up to first non-trivial order in both the perturbation parameters for Einstein-Maxwell systems, generalizing the earlier works of [arXiv:1807.05058], [arXiv:1902.00854] for non-charged systems. An one-to-one map between dynamical black-brane geometry and AdS space, which also exists at finite number of dimensions, has also been established. |
2112.01619 | Aaron Hillman | Aaron Hillman and Enrico Pajer | A Differential Representation of Cosmological Wavefunctions | 41 pages | null | 10.1007/JHEP04(2022)012 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Our understanding of quantum field theory rests largely on explicit and
controlled calculations in perturbation theory. Because of this, much recent
effort has been devoted to improve our grasp of perturbative techniques on
cosmological spacetimes. While scattering amplitudes in flat space at tree
level are obtained from simple algebraic operations, things are harder for
cosmological observables. Indeed, computing cosmological correlation functions
or the associated wavefunction coefficients requires evaluating a growing
number of nested time integrals already at tree level, which is computationally
challenging. Here, we present a new "differential" representation of the
cosmological wavefunction in de Sitter spacetime that obviates this problem for
a large class of phenomenologically relevant theories. Given any tree-level
Feynman-Witten diagram, we give simple algebraic rules to write down a seed
function and a differential operator that transforms it into the desired
wavefunction coefficient for any scale-invariant, parity-invariant theory of
massless scalars and gravitons with general boost-breaking interactions. In
particular, this applies to large classes of phenomenologically relevant
theories such as those described by the effective field theory of inflation or
solid inflation. Trading nested bulk time integrals for derivatives on boundary
kinematical data provides a great computational advantage, especially for
processes involving many vertices.
| [
{
"created": "Thu, 2 Dec 2021 21:50:49 GMT",
"version": "v1"
}
] | 2022-04-20 | [
[
"Hillman",
"Aaron",
""
],
[
"Pajer",
"Enrico",
""
]
] | Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological spacetimes. While scattering amplitudes in flat space at tree level are obtained from simple algebraic operations, things are harder for cosmological observables. Indeed, computing cosmological correlation functions or the associated wavefunction coefficients requires evaluating a growing number of nested time integrals already at tree level, which is computationally challenging. Here, we present a new "differential" representation of the cosmological wavefunction in de Sitter spacetime that obviates this problem for a large class of phenomenologically relevant theories. Given any tree-level Feynman-Witten diagram, we give simple algebraic rules to write down a seed function and a differential operator that transforms it into the desired wavefunction coefficient for any scale-invariant, parity-invariant theory of massless scalars and gravitons with general boost-breaking interactions. In particular, this applies to large classes of phenomenologically relevant theories such as those described by the effective field theory of inflation or solid inflation. Trading nested bulk time integrals for derivatives on boundary kinematical data provides a great computational advantage, especially for processes involving many vertices. |
hep-th/9510051 | Andrew Chubykalo | Andrew E. Chubykalo (Instituto de Ciencia de Materiales, Consejo
Superior de Investigaciones Cient\'ificas, Madrid, Spain) | On the necessity to reconsider the role of "action-at-a-distance" in the
problem of the electro-magnetic field radiation produced by a charge moving
with an acceleration along an axis | LaTeX file, 7pp | Anales Fis. 93 (1997) 65-68; Apeiron 4 (1997) 38-40 | null | null | hep-th | null | Some inadequacy in the traditional description of the phenomenon of
electro-magnetic field radiation created by a point charge moving along a
straight line with an acceleration is found and discussed in this paper in
detail. The possibility of simultaneous coexistence of Newton instantaneous
long-range interaction and Faraday-Maxwell short-rang interaction is pointed
out.
| [
{
"created": "Mon, 9 Oct 1995 23:18:12 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Chubykalo",
"Andrew E.",
"",
"Instituto de Ciencia de Materiales, Consejo\n Superior de Investigaciones Científicas, Madrid, Spain"
]
] | Some inadequacy in the traditional description of the phenomenon of electro-magnetic field radiation created by a point charge moving along a straight line with an acceleration is found and discussed in this paper in detail. The possibility of simultaneous coexistence of Newton instantaneous long-range interaction and Faraday-Maxwell short-rang interaction is pointed out. |
hep-th/9809139 | Freydoon Mansouri | Sharmanthie Fernando and Freydoon Mansouri | Supermultiplets of AdS Black Holes in 2+1 Dimensions | 12 pages, LaTex | Phys.Lett. B445 (1998) 52-59 | 10.1016/S0370-2693(98)01482-8 | UCTP103.98 | hep-th gr-qc | null | We construct super AdS black holes in 2+1 dimensions in terms of Chern Simons
gauge theory of N=(1,1) super AdS group coupled to a (super)source. We take the
source to be a super AdS state specified by its Casimir invariants. We show
that the corresponding space-time is a supermultiplet of AdS space-times
related to each other by supersymmetry transformations. We give explicit
expressions for the masses and the angular momenta of the black holes in a
supermultiplet. With one exception, for N=(1,1) one pair of extremal black
holes can be accommodated in such all-black hole supermultiplets. The
requirement that the source be a unitary representation leads to a discrete
tower of excited states which provide a microscopic model for the super black
hole.
| [
{
"created": "Fri, 18 Sep 1998 19:15:31 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 1998 19:18:37 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Fernando",
"Sharmanthie",
""
],
[
"Mansouri",
"Freydoon",
""
]
] | We construct super AdS black holes in 2+1 dimensions in terms of Chern Simons gauge theory of N=(1,1) super AdS group coupled to a (super)source. We take the source to be a super AdS state specified by its Casimir invariants. We show that the corresponding space-time is a supermultiplet of AdS space-times related to each other by supersymmetry transformations. We give explicit expressions for the masses and the angular momenta of the black holes in a supermultiplet. With one exception, for N=(1,1) one pair of extremal black holes can be accommodated in such all-black hole supermultiplets. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the super black hole. |
0901.0867 | Mark G. Jackson | Mark G. Jackson, Xavier Siemens | Gravitational Wave Bursts from Cosmic Superstring Reconnections | 26 pages, 6 figures; v2: references added and typos corrected | JHEP 0906:089,2009 | 10.1088/1126-6708/2009/06/089 | FNAL-PUB-08-215-A-T | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the gravitational waveform produced by cosmic superstring
reconnections. This is done by first constructing the superstring reconnection
trajectory, which closely resembles that of classical, instantaneous
reconnection but with the singularities smoothed out due to the string path
integral. We then evaluate the graviton vertex operator in this background to
obtain the burst amplitude. The result is compared to the detection threshold
for current and future gravitational wave detectors, finding that neither
bursts nor the stochastic background would be detectable by Advanced LIGO. This
disappointing but anticipated conclusion holds even for the most optimistic
values of the reconnection probability and loop sizes.
| [
{
"created": "Wed, 7 Jan 2009 17:40:16 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Mar 2009 19:16:44 GMT",
"version": "v2"
}
] | 2009-07-22 | [
[
"Jackson",
"Mark G.",
""
],
[
"Siemens",
"Xavier",
""
]
] | We compute the gravitational waveform produced by cosmic superstring reconnections. This is done by first constructing the superstring reconnection trajectory, which closely resembles that of classical, instantaneous reconnection but with the singularities smoothed out due to the string path integral. We then evaluate the graviton vertex operator in this background to obtain the burst amplitude. The result is compared to the detection threshold for current and future gravitational wave detectors, finding that neither bursts nor the stochastic background would be detectable by Advanced LIGO. This disappointing but anticipated conclusion holds even for the most optimistic values of the reconnection probability and loop sizes. |
0803.4497 | Diego Blas | D. Blas | Transverse Symmetry and Spin-3/2 Fields | 12 pages. To appear in Peyresq XII proceedings | Class.Quant.Grav.25:154009,2008 | 10.1088/0264-9381/25/15/154009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the possible covariant Lagrangians that describe the propagation of
pure spin-3/2 particles. We show that, apart from the well-known
Rarita-Schwinger Lagrangian, there is another possibility where the field is
described by a gamma-traceless combination and that both Lagrangians yield the
same physical predictions for the interaction of conserved sources. We also
prove that for the case when the spin-2 field is described by a traceless
field, there is no possible spin-3/2 action that makes the system
supersymmetric. Nevertheless, the interaction between this field andthe
spin-3/2 field may be possible.
| [
{
"created": "Mon, 31 Mar 2008 17:59:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Blas",
"D.",
""
]
] | We study the possible covariant Lagrangians that describe the propagation of pure spin-3/2 particles. We show that, apart from the well-known Rarita-Schwinger Lagrangian, there is another possibility where the field is described by a gamma-traceless combination and that both Lagrangians yield the same physical predictions for the interaction of conserved sources. We also prove that for the case when the spin-2 field is described by a traceless field, there is no possible spin-3/2 action that makes the system supersymmetric. Nevertheless, the interaction between this field andthe spin-3/2 field may be possible. |
1403.6649 | Kazuharu Bamba | Kazuharu Bamba, R. Myrzakulov, S. D. Odintsov and L. Sebastiani | Trace-anomaly driven inflation in modified gravity and the BICEP2 result | 16 pages, no figure, version accepted for publication in Physical
Review D | Phys. Rev. D 90, 043505 (2014) | 10.1103/PhysRevD.90.043505 | OCHA-PP-319 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore conformal-anomaly driven inflation in $F(R)$ gravity without
invoking the scalar-tensor representation. We derive the stress-energy tensor
of the quantum anomaly in the flat homogeneous and isotropic universe. We
investigate a suitable toy model of exponential gravity plus the quantum
contribution due to the conformal anomaly, which leads to the de Sitter
solution. It is shown that in $F(R)$ gravity model, the curvature perturbations
with its enough amplitude consistent with the observations are generated during
inflation. We also evaluate the number of $e$-folds at the inflationary stage
and the spectral index $n_\mathrm{s}$ of scalar modes of the curvature
perturbations by analogy with scalar tensor theories, and compare them with the
observational data. As a result, it is found that the Ricci scalar decreases
during inflation and the standard evolution history of the universe is
recovered at the small curvature regime. Furthermore, it is demonstrated that
in our model, the tensor-to-scalar ratio of the curvature perturbations can be
a finite value within the $68\%\,\mathrm{CL}$ error of the very recent result
found by the BICEP2 experiment.
| [
{
"created": "Wed, 26 Mar 2014 12:24:01 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 03:05:07 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jul 2014 01:22:29 GMT",
"version": "v3"
}
] | 2014-08-13 | [
[
"Bamba",
"Kazuharu",
""
],
[
"Myrzakulov",
"R.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Sebastiani",
"L.",
""
]
] | We explore conformal-anomaly driven inflation in $F(R)$ gravity without invoking the scalar-tensor representation. We derive the stress-energy tensor of the quantum anomaly in the flat homogeneous and isotropic universe. We investigate a suitable toy model of exponential gravity plus the quantum contribution due to the conformal anomaly, which leads to the de Sitter solution. It is shown that in $F(R)$ gravity model, the curvature perturbations with its enough amplitude consistent with the observations are generated during inflation. We also evaluate the number of $e$-folds at the inflationary stage and the spectral index $n_\mathrm{s}$ of scalar modes of the curvature perturbations by analogy with scalar tensor theories, and compare them with the observational data. As a result, it is found that the Ricci scalar decreases during inflation and the standard evolution history of the universe is recovered at the small curvature regime. Furthermore, it is demonstrated that in our model, the tensor-to-scalar ratio of the curvature perturbations can be a finite value within the $68\%\,\mathrm{CL}$ error of the very recent result found by the BICEP2 experiment. |
hep-th/0512010 | Jurgen Berges | J. Berges and Sz. Borsanyi | Nonequilibrium quantum fields from first principles | 10 pages, 5 figures, Acta Phys. Hung. version, minor changes | Eur.Phys.J.A29:95,2006 | 10.1140/epja/i2005-10305-x | null | hep-th hep-lat hep-ph nucl-th | null | Calculations of nonequilibrium processes become increasingly feasable in
quantum field theory from first principles. There has been important progress
in our analytical understanding based on 2PI generating functionals. In
addition, for the first time direct lattice simulations based on stochastic
quantization techniques have been achieved. The quantitative descriptions of
characteristic far-from-equilibrium time scales and thermal equilibration in
quantum field theory point out new phenomena such as prethermalization. They
determine the range of validity of standard transport or semi-classical
approaches, on which most of our ideas about nonequilibrium dynamics were based
so far. These are crucial ingredients to understand important topical phenomena
in high-energy physics related to collision experiments of heavy nuclei, early
universe cosmology and complex many-body systems.
| [
{
"created": "Thu, 1 Dec 2005 13:57:48 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2005 17:06:30 GMT",
"version": "v2"
}
] | 2010-02-04 | [
[
"Berges",
"J.",
""
],
[
"Borsanyi",
"Sz.",
""
]
] | Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the first time direct lattice simulations based on stochastic quantization techniques have been achieved. The quantitative descriptions of characteristic far-from-equilibrium time scales and thermal equilibration in quantum field theory point out new phenomena such as prethermalization. They determine the range of validity of standard transport or semi-classical approaches, on which most of our ideas about nonequilibrium dynamics were based so far. These are crucial ingredients to understand important topical phenomena in high-energy physics related to collision experiments of heavy nuclei, early universe cosmology and complex many-body systems. |
2306.08097 | Miguel Vazquez-Mozo | Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo | Lectures on Field Theory and the Standard Model: A Symmetry-Oriented
Approach | Comments: 136 pages, many figures. LaTeX+feynmf. To appear in
Proceedings of the 2022 European School for High Energy Physics (Jerusalem,
Israel, November 30th to December 14th, 2022), eds. Markus Elsing and Alex
Huss | null | null | null | hep-th gr-qc hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | The standard model of particle physics represents the cornerstone of our
understanding of the microscopic world. In these lectures we review its
contents and structure, with a particular emphasis on the central role played
by symmetries and their realization. This is not intended to be an exhaustive
review but a discussion of selected topics that we find interesting, with the
specific aim of clarifying some subtle points and potential misunderstandings.
A number of more technical topics are discussed in separated boxes interspersed
throughout the text.
| [
{
"created": "Tue, 13 Jun 2023 19:34:06 GMT",
"version": "v1"
}
] | 2023-06-16 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] | The standard model of particle physics represents the cornerstone of our understanding of the microscopic world. In these lectures we review its contents and structure, with a particular emphasis on the central role played by symmetries and their realization. This is not intended to be an exhaustive review but a discussion of selected topics that we find interesting, with the specific aim of clarifying some subtle points and potential misunderstandings. A number of more technical topics are discussed in separated boxes interspersed throughout the text. |
hep-th/0110054 | Frank Saueressig | M. Reuter and F. Saueressig | Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert
Truncation | 58 pages, latex, 24 figures | Phys.Rev.D65:065016,2002 | 10.1103/PhysRevD.65.065016 | MZ-TH/01-27 | hep-th gr-qc | null | The exact renormalization group equation for pure quantum gravity is used to
derive the non-perturbative $\Fbeta$-functions for the dimensionless Newton
constant and cosmological constant on the theory space spanned by the
Einstein-Hilbert truncation. The resulting coupled differential equations are
evaluated for a sharp cutoff function. The features of these flow equations are
compared to those found when using a smooth cutoff. The system of equations
with sharp cutoff is then solved numerically, deriving the complete
renormalization group flow of the Einstein-Hilbert truncation in $d=4$. The
resulting renormalization group trajectories are classified and their physical
relevance is discussed. The non-trivial fixed point which, if present in the
exact theory, might render Quantum Einstein Gravity nonperturbatively
renormalizable is investigated for various spacetime dimensionalities.
| [
{
"created": "Fri, 5 Oct 2001 13:25:36 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Reuter",
"M.",
""
],
[
"Saueressig",
"F.",
""
]
] | The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\Fbeta$-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert truncation. The resulting coupled differential equations are evaluated for a sharp cutoff function. The features of these flow equations are compared to those found when using a smooth cutoff. The system of equations with sharp cutoff is then solved numerically, deriving the complete renormalization group flow of the Einstein-Hilbert truncation in $d=4$. The resulting renormalization group trajectories are classified and their physical relevance is discussed. The non-trivial fixed point which, if present in the exact theory, might render Quantum Einstein Gravity nonperturbatively renormalizable is investigated for various spacetime dimensionalities. |
1210.6964 | Carl Stigner | Carl Stigner | Hopf and Frobenius algebras in conformal field theory | PhD thesis. Minor adjustments and typos corrected | null | null | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis contains results relevant for two different classes of conformal
field theory. We partly treat rational conformal field theory, but also derive
results that aim at a better understanding of logarithmic conformal field
theory. For rational conformal field theory, we generalize the proof that the
construction of correlators, via three-dimensional topological field theory,
satisfies the consistency conditions to oriented world sheets with defect
lines. We also derive a classifying algebra for defects. This is a semisimple
commutative associative algebra over the complex numbers whose one-dimensional
representations are in bijection with the topological defect lines of the
theory.
Then we relax the semisimplicity condition of rational conformal field theory
and consider a larger class of categories, containing non-semisimple ones, that
is relevant for logarithmic conformal field theory. We obtain, for any
finite-dimensional factorizable ribbon Hopf algebra H, a family of symmetric
commutative Frobenius algebras in the category of bimodules over H. For any
such Frobenius algebra, which can be constructed as a coend, we associate to
any Riemann surface a morphism in the bimodule category. We prove that this
morphism is invariant under a projective action of the mapping class group of
the Riemann surface. This suggests to regard these morphisms as candidates for
correlators of bulk fields of a full conformal field theory whose chiral data
are described by the category of left-modules over H.
| [
{
"created": "Thu, 25 Oct 2012 19:41:54 GMT",
"version": "v1"
}
] | 2012-10-26 | [
[
"Stigner",
"Carl",
""
]
] | This thesis contains results relevant for two different classes of conformal field theory. We partly treat rational conformal field theory, but also derive results that aim at a better understanding of logarithmic conformal field theory. For rational conformal field theory, we generalize the proof that the construction of correlators, via three-dimensional topological field theory, satisfies the consistency conditions to oriented world sheets with defect lines. We also derive a classifying algebra for defects. This is a semisimple commutative associative algebra over the complex numbers whose one-dimensional representations are in bijection with the topological defect lines of the theory. Then we relax the semisimplicity condition of rational conformal field theory and consider a larger class of categories, containing non-semisimple ones, that is relevant for logarithmic conformal field theory. We obtain, for any finite-dimensional factorizable ribbon Hopf algebra H, a family of symmetric commutative Frobenius algebras in the category of bimodules over H. For any such Frobenius algebra, which can be constructed as a coend, we associate to any Riemann surface a morphism in the bimodule category. We prove that this morphism is invariant under a projective action of the mapping class group of the Riemann surface. This suggests to regard these morphisms as candidates for correlators of bulk fields of a full conformal field theory whose chiral data are described by the category of left-modules over H. |
1002.0124 | Alexander Reshetnyak | Alexander A. Reshetnyak | Towards Lagrangian formulations of mixed-symmetry Higher Spin Fields on
AdS-space within BFV-BRST formalism | Slightly enlarged contribution to the Proceedings of the
International Bogolyubov Conference-2009 "Problems of Theoretical and
Mathematical Physics", Moscow - Dubna, August 21 - 27, 2009, 9 pages, no
figures | Phys.Part.Nucl.41:976-979,2010 | 10.1134/S1063779610060341 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The spectrum of superstring theory on the $AdS_5 \times S_5$ Ramond-Ramond
background in tensionless limit contains integer and half-integer higher-spin
fields subject at most to two-rows Young tableaux $Y(s_1,s_2)$. We review the
details of a gauge-invariant Lagrangian description of such massive and
massless higher-spin fields in anti-de-Sitter spaces with arbitrary dimensions.
The procedure is based on the construction of Verma modules, its oscillator
realizations and of a BFV-BRST operator for non-linear algebras encoding
unitary irreducible representations of AdS group.
| [
{
"created": "Sun, 31 Jan 2010 14:02:43 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2010 11:07:09 GMT",
"version": "v2"
}
] | 2010-12-07 | [
[
"Reshetnyak",
"Alexander A.",
""
]
] | The spectrum of superstring theory on the $AdS_5 \times S_5$ Ramond-Ramond background in tensionless limit contains integer and half-integer higher-spin fields subject at most to two-rows Young tableaux $Y(s_1,s_2)$. We review the details of a gauge-invariant Lagrangian description of such massive and massless higher-spin fields in anti-de-Sitter spaces with arbitrary dimensions. The procedure is based on the construction of Verma modules, its oscillator realizations and of a BFV-BRST operator for non-linear algebras encoding unitary irreducible representations of AdS group. |
hep-th/9605200 | Shamit Kachru | M. Bershadsky, K. Intriligator, S. Kachru, D.R. Morrison, V. Sadov,
and C. Vafa | Geometric Singularities and Enhanced Gauge Symmetries | 49 pages harvmac big (must print in big mode for tables to appear
correctly); Typos and reference corrected | Nucl.Phys.B481:215-252,1996 | 10.1016/S0550-3213(96)90131-5 | HUTP-96/A017, IASSNS-HEP-96/49, RU-96-40 | hep-th | null | Using ``Tate's algorithm,'' we identify loci in the moduli of F-theory
compactifications corresponding to enhanced gauge symmetry. We apply this to
test the proposed F-theory/heterotic dualities in six dimensions. We recover
the perturbative gauge symmetry enhancements of the heterotic side and the
physics of small $SO(32)$ instantons, and discover new mixed
perturbative/non-perturbative gauge symmetry enhancements. Upon further
toroidal compactification to 4 dimensions, we derive the chain of Calabi-Yau
threefolds dual to various Coulomb branches of heterotic strings.
| [
{
"created": "Wed, 29 May 1996 05:02:34 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 1996 03:15:10 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Bershadsky",
"M.",
""
],
[
"Intriligator",
"K.",
""
],
[
"Kachru",
"S.",
""
],
[
"Morrison",
"D. R.",
""
],
[
"Sadov",
"V.",
""
],
[
"Vafa",
"C.",
""
]
] | Using ``Tate's algorithm,'' we identify loci in the moduli of F-theory compactifications corresponding to enhanced gauge symmetry. We apply this to test the proposed F-theory/heterotic dualities in six dimensions. We recover the perturbative gauge symmetry enhancements of the heterotic side and the physics of small $SO(32)$ instantons, and discover new mixed perturbative/non-perturbative gauge symmetry enhancements. Upon further toroidal compactification to 4 dimensions, we derive the chain of Calabi-Yau threefolds dual to various Coulomb branches of heterotic strings. |
1111.1897 | S. Kalyana Rama | S. Kalyana Rama | Static brane--like vacuum solutions in D \ge 5 dimensional spacetime
with positive ADM mass but no horizon | 17 pages. Curvature components and more references added. Version 4:
corrected an error in the asymptotic expansion | null | null | IMSc/2011/11/15 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe static, brane--like, solutions to vacuum Einstein's equations in
D = n + m + 2 dimensional spacetime with m \ge 2 and n \ge 1. These solutions
have positive ADM mass but no horizon. The curvature invariants are finite
everywhere except at r = 0 where r is the radial coordinate in the m + 1
dimensional space. The presence of n \ge 1 extra dimensions is crucial for
these properties. Such solutions may be naturally anticipated if Mathur's
fuzzball proposal for black holes is correct.
| [
{
"created": "Tue, 8 Nov 2011 13:11:52 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2011 11:16:39 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Nov 2011 13:56:48 GMT",
"version": "v3"
},
{
"created": "Tue, 15 May 2012 12:55:22 GMT",
"version": "v4"
}
] | 2012-05-16 | [
[
"Rama",
"S. Kalyana",
""
]
] | We describe static, brane--like, solutions to vacuum Einstein's equations in D = n + m + 2 dimensional spacetime with m \ge 2 and n \ge 1. These solutions have positive ADM mass but no horizon. The curvature invariants are finite everywhere except at r = 0 where r is the radial coordinate in the m + 1 dimensional space. The presence of n \ge 1 extra dimensions is crucial for these properties. Such solutions may be naturally anticipated if Mathur's fuzzball proposal for black holes is correct. |
1808.03397 | Oscar Loaiza-Brito | Cesar Damian and Oscar Loaiza-Brito | Two-field axion inflation and the swampland constraint in the
flux-scaling scenario | 24 pages, 6 figures. (v2): Typos corrected, References added. (v3)
Some comments, one figure and references added. Version accepted for
publication in Fortschritte der Physik | null | 10.1002/prop.201800072 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the flux-scaling scenario we study a model consisting on Type IIB
string theory compactified on a Calabi-Yau manifold with a frozen complex
structure in the presence of generic fluxes. The model contains (meta)stable
Minkowski and de Sitter vacua as well as inflationary directions driven by two
independent linear combination of axions. Due to a numerical control by fluxes,
we show that cosmological parameters as the spectral index, tensor-to-scalar
ratio and non-Gaussianities can be kept within observed bounds while preserving
the desired hierarchies on physical scales. Moreover we compute the deviation
of the inflationary trajectories from geodesics on field space in terms of the
fluxes showing that for some regions, they fulfill the recent proposed
swampland criterion for multi-field scenarios.
| [
{
"created": "Fri, 10 Aug 2018 02:33:59 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Sep 2018 17:32:17 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Nov 2018 04:21:17 GMT",
"version": "v3"
}
] | 2021-07-28 | [
[
"Damian",
"Cesar",
""
],
[
"Loaiza-Brito",
"Oscar",
""
]
] | Based on the flux-scaling scenario we study a model consisting on Type IIB string theory compactified on a Calabi-Yau manifold with a frozen complex structure in the presence of generic fluxes. The model contains (meta)stable Minkowski and de Sitter vacua as well as inflationary directions driven by two independent linear combination of axions. Due to a numerical control by fluxes, we show that cosmological parameters as the spectral index, tensor-to-scalar ratio and non-Gaussianities can be kept within observed bounds while preserving the desired hierarchies on physical scales. Moreover we compute the deviation of the inflationary trajectories from geodesics on field space in terms of the fluxes showing that for some regions, they fulfill the recent proposed swampland criterion for multi-field scenarios. |
2406.02188 | Steven Duplij | Steven Duplij (University of M\"unster) | Polyadic supersymmetry | 14 pages, amslatex | null | null | null | hep-th hep-ph math-ph math.MP math.RA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a polyadic analog of supersymmetry by considering the
polyadization procedure (proposed by the author) applied to the toy model of
one-dimensional supersymmetric quantum mechanics. The supercharges are
generalized to polyadic ones using the $n$-ary sigma matrices defined in
earlier work. In this way, polyadic analogs of supercharges and Hamiltonians
take the cyclic shift block matrix form, and they can describe multidegenerated
quantum states in a way that is different from the $N$-extended and multigraded
SQM. While constructing the corresponding supersymmetry as an $n$-ary Lie
superalgebra ($n$ is the arity of the initial associative multiplication), we
have found new brackets with a reduced arity of $2\leq m<n$ and a related
series of $m$-ary superalgebras (which is impossible for binary superalgebras).
In the case of even reduced arity $m$ we obtain a tower of higher order (as
differential operators) even Hamiltonians, while for $m$ odd we get a tower of
higher order odd supercharges, and the corresponding algebra consists of the
odd sector only.
| [
{
"created": "Tue, 4 Jun 2024 10:33:29 GMT",
"version": "v1"
}
] | 2024-07-03 | [
[
"Duplij",
"Steven",
"",
"University of Münster"
]
] | We introduce a polyadic analog of supersymmetry by considering the polyadization procedure (proposed by the author) applied to the toy model of one-dimensional supersymmetric quantum mechanics. The supercharges are generalized to polyadic ones using the $n$-ary sigma matrices defined in earlier work. In this way, polyadic analogs of supercharges and Hamiltonians take the cyclic shift block matrix form, and they can describe multidegenerated quantum states in a way that is different from the $N$-extended and multigraded SQM. While constructing the corresponding supersymmetry as an $n$-ary Lie superalgebra ($n$ is the arity of the initial associative multiplication), we have found new brackets with a reduced arity of $2\leq m<n$ and a related series of $m$-ary superalgebras (which is impossible for binary superalgebras). In the case of even reduced arity $m$ we obtain a tower of higher order (as differential operators) even Hamiltonians, while for $m$ odd we get a tower of higher order odd supercharges, and the corresponding algebra consists of the odd sector only. |
hep-th/0404033 | Thomas Larsson | T. A. Larsson | A diffeomorphism anomaly in every dimension | Described Hamiltonian commuting with anomalous diffeomorphism algebra | null | null | null | hep-th | null | Field-theoretic pure gravitational anomalies only exist in $4k+2$ dimensions.
However, canonical quantization of non-field-theoretic systems may give rise to
diffeomorphism anomalies in any number of dimensions. I present a simple
example, where a higher-dimensional generalization of the Virasoro algebra
arises upon quantization.
| [
{
"created": "Mon, 5 Apr 2004 08:21:23 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 2004 13:16:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Larsson",
"T. A.",
""
]
] | Field-theoretic pure gravitational anomalies only exist in $4k+2$ dimensions. However, canonical quantization of non-field-theoretic systems may give rise to diffeomorphism anomalies in any number of dimensions. I present a simple example, where a higher-dimensional generalization of the Virasoro algebra arises upon quantization. |
1005.2595 | Klaus Kirsten | Klaus Kirsten | Functional determinants in higher dimensions using contour integrals | To appear in "A Window into Zeta and Modular Physics", Mathematical
Sciences Research Institute Publications, Vol. 57, 2010, Cambridge University
Press | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution we first summarize how contour integration methods can
be used to derive closed formulae for functional determinants of ordinary
differential operators. We then generalize our considerations to partial
differential operators. Examples are used to show that also in higher
dimensions closed answers can be obtained as long as the eigenvalues of the
differential operators are determined by transcendental equations. Examples
considered comprise of the finite temperature Casimir effect on a ball and the
functional determinant of the Laplacian on a two-dimensional torus.
| [
{
"created": "Fri, 14 May 2010 18:34:12 GMT",
"version": "v1"
}
] | 2010-05-17 | [
[
"Kirsten",
"Klaus",
""
]
] | In this contribution we first summarize how contour integration methods can be used to derive closed formulae for functional determinants of ordinary differential operators. We then generalize our considerations to partial differential operators. Examples are used to show that also in higher dimensions closed answers can be obtained as long as the eigenvalues of the differential operators are determined by transcendental equations. Examples considered comprise of the finite temperature Casimir effect on a ball and the functional determinant of the Laplacian on a two-dimensional torus. |
hep-th/0203275 | Gennadi Sardanashvily | G.Sardanashvily | Energy-momentum conservation laws in gauge theory with broken gauge
symmetries | 15 pages | null | null | null | hep-th | null | If a Lagrangian of gauge theory of internal symmetries is not
gauge-invariant, the energy-momentum fails to be conserved in general.
| [
{
"created": "Fri, 29 Mar 2002 04:51:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sardanashvily",
"G.",
""
]
] | If a Lagrangian of gauge theory of internal symmetries is not gauge-invariant, the energy-momentum fails to be conserved in general. |
hep-th/9709060 | Janos Polonyi | Jean Alexandre, Vincenzo Branchina, Janos Polonyi | Renormalization Group with Condensate | Talk presented at the Eotvos Conference on "Strong and Electroweak
Matter '97", Eger, Hungary, 20 pages, LaTex | null | null | null | hep-th | null | The renormalization group is applied to the phi4 model in the symmetry broken
phase in order to identify different scaling regimes. The new scaling laws
reflect nonuniversal behavior at the phase transition. The extension of the
analysis to finite temperature is briefly outlined. It is mentioned that the
coupling constants can be found in the mixed phase by taking into account the
saddle points of the blocking procedure.
| [
{
"created": "Mon, 8 Sep 1997 15:54:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alexandre",
"Jean",
""
],
[
"Branchina",
"Vincenzo",
""
],
[
"Polonyi",
"Janos",
""
]
] | The renormalization group is applied to the phi4 model in the symmetry broken phase in order to identify different scaling regimes. The new scaling laws reflect nonuniversal behavior at the phase transition. The extension of the analysis to finite temperature is briefly outlined. It is mentioned that the coupling constants can be found in the mixed phase by taking into account the saddle points of the blocking procedure. |
2308.03683 | Joao A. Silva | Giulia Fardelli, Tobias Hansen, Joao A. Silva | AdS Virasoro-Shapiro amplitude with KK modes | 28 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We determine the first curvature correction for the string amplitude of two
supergravity states and two Kaluza-Klein modes on $\text{AdS}_5 \times
\text{S}^5$, which is dual to the correlator $\langle \mathcal{O}_2
\mathcal{O}_2 \mathcal{O}_p \mathcal{O}_p \rangle$ of half-BPS operators in
$\mathcal{N}=4$ SYM theory. The result has the form of an integral over the
Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion
of single-valued multiple polylogarithms of weight three. The result fixes OPE
data of single-trace operators in $\mathcal{N}=4$ SYM theory at strong
coupling, including operators with non-zero $R$-charge and odd spin. We
successfully check our results by comparing to data available from
integrability, localisation and consistency with a $10d$ effective action.
| [
{
"created": "Mon, 7 Aug 2023 15:56:47 GMT",
"version": "v1"
}
] | 2023-08-08 | [
[
"Fardelli",
"Giulia",
""
],
[
"Hansen",
"Tobias",
""
],
[
"Silva",
"Joao A.",
""
]
] | We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on $\text{AdS}_5 \times \text{S}^5$, which is dual to the correlator $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{O}_p \mathcal{O}_p \rangle$ of half-BPS operators in $\mathcal{N}=4$ SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $\mathcal{N}=4$ SYM theory at strong coupling, including operators with non-zero $R$-charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a $10d$ effective action. |
1207.6867 | Yuta Hamada | Yuta Hamada and Tatsuo Kobayashi | Massive modes in magnetized brane models | 21 pages | Prog. Theor. Phys. 128 (2012), 903-923 | 10.1143/PTP.128.903 | KUNS-2409 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study higher dimensional models with magnetic fluxes, which can be derived
from superstring theory. We study mass spectrum and wavefunctions of massless
and massive modes for spinor, scalar and vector fields. We compute the 3-point
couplings and higher order couplings among massless modes and massive modes in
4D low-energy effective field theory. These couplings have non-trivial
behaviors, because wavefunctions of massless and massive modes are non-trivial.
| [
{
"created": "Mon, 30 Jul 2012 08:53:00 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Sep 2012 05:18:42 GMT",
"version": "v2"
}
] | 2012-12-03 | [
[
"Hamada",
"Yuta",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] | We study higher dimensional models with magnetic fluxes, which can be derived from superstring theory. We study mass spectrum and wavefunctions of massless and massive modes for spinor, scalar and vector fields. We compute the 3-point couplings and higher order couplings among massless modes and massive modes in 4D low-energy effective field theory. These couplings have non-trivial behaviors, because wavefunctions of massless and massive modes are non-trivial. |
hep-th/9505159 | V. A. Rubakov | V.A.Rubakov | Modelling macroscopic and baby universes by fundamental strings | 21 pages, LaTeX, no figures | Nucl.Phys. B453 (1995) 395-412 | 10.1016/0550-3213(95)00413-M | INR-891/95, revised | hep-th | null | We develop a model of $(1+1)$-dimensional parent and baby universes as
macroscopic and microscopic fundamental closed strings. We argue, on the basis
of understanding of strings from the point of view of target $D$-dimensional
space-time, that processes involving baby universes/wormholes not only induce
$c$-number "$\alpha$-parameters" in $(1+1)d$ action, but also lead to loss of
quantum coherence for a $(1+1)d$ observer in the parent universe.
| [
{
"created": "Thu, 25 May 1995 15:54:57 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 1995 15:54:37 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Rubakov",
"V. A.",
""
]
] | We develop a model of $(1+1)$-dimensional parent and baby universes as macroscopic and microscopic fundamental closed strings. We argue, on the basis of understanding of strings from the point of view of target $D$-dimensional space-time, that processes involving baby universes/wormholes not only induce $c$-number "$\alpha$-parameters" in $(1+1)d$ action, but also lead to loss of quantum coherence for a $(1+1)d$ observer in the parent universe. |
hep-th/9211111 | null | E. K. Sklyanin | Quantum Inverse Scattering Method. Selected Topics | 36 pages | In: Quantum Group and Quantum Integrable Systems: Nankai Lectures
on Mathematical Physics : Nankai Institute of Mathematics, China 2-18 April
1991 (World Scientific 1992), pp 63-97 | null | null | hep-th nlin.SI solv-int | null | Four lectures given at Nankai Institute of Mathematics, Tianjin, China, 5--13
April 1991 present an elementary introduction into the quantum integrable
models aimed for mathematical physicists and mathematicians. The stress is made
on the algebraic aspects of the theory and the problem of determining the
spectrum of quantum integrals of motion. The XXX magnetic chain is used as the
basic example. Two lectures are devoted to a detailed exposition of the
Functional Bethe Ansatz --- a new technique alternative to the Algebraic Bethe
Ansatz --- and its relation to the separation of variable method. A possibility
to extend FBA to the $SL(3)$ is discussed.
| [
{
"created": "Tue, 24 Nov 1992 16:20:00 GMT",
"version": "v1"
}
] | 2015-11-12 | [
[
"Sklyanin",
"E. K.",
""
]
] | Four lectures given at Nankai Institute of Mathematics, Tianjin, China, 5--13 April 1991 present an elementary introduction into the quantum integrable models aimed for mathematical physicists and mathematicians. The stress is made on the algebraic aspects of the theory and the problem of determining the spectrum of quantum integrals of motion. The XXX magnetic chain is used as the basic example. Two lectures are devoted to a detailed exposition of the Functional Bethe Ansatz --- a new technique alternative to the Algebraic Bethe Ansatz --- and its relation to the separation of variable method. A possibility to extend FBA to the $SL(3)$ is discussed. |
2306.13883 | Erica Bertolini | Erica Bertolini, Nicola Maggiore and Giandomenico Palumbo | Covariant fracton gauge theory with boundary | 37 pages, to appear in Physical Review D | Phys. Rev. D 108, 025009 (2023) | 10.1103/PhysRevD.108.025009 | null | hep-th cond-mat.mes-hall cond-mat.str-el gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper we study the consequences of the introduction of a flat
boundary on a 4D covariant rank-2 gauge theory described by a linear
combination of linearized gravity and covariant fracton theory. We show that
this theory gives rise to a Maxwell-Chern-Simons-like theory of two rank-2
traceless symmetric tensor fields. This induced 3D theory can be physically
traced back to the traceless scalar charge theory of fractons, where the
Chern-Simons-like term plays the role of a matter contribution. By further
imposing time reversal invariance on the boundary, the Chern-Simons-like term
disappears. Importantly, on the boundary of our 4D gauge theory we find a
generalized U(1) Ka\c{c}-Moody algebra and the induced 3D theory is
characterized by the conservation of the dipole moment.
| [
{
"created": "Sat, 24 Jun 2023 07:19:31 GMT",
"version": "v1"
}
] | 2023-07-14 | [
[
"Bertolini",
"Erica",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Palumbo",
"Giandomenico",
""
]
] | In this paper we study the consequences of the introduction of a flat boundary on a 4D covariant rank-2 gauge theory described by a linear combination of linearized gravity and covariant fracton theory. We show that this theory gives rise to a Maxwell-Chern-Simons-like theory of two rank-2 traceless symmetric tensor fields. This induced 3D theory can be physically traced back to the traceless scalar charge theory of fractons, where the Chern-Simons-like term plays the role of a matter contribution. By further imposing time reversal invariance on the boundary, the Chern-Simons-like term disappears. Importantly, on the boundary of our 4D gauge theory we find a generalized U(1) Ka\c{c}-Moody algebra and the induced 3D theory is characterized by the conservation of the dipole moment. |
hep-th/0603172 | David Bailin | David Bailin & Alex Love (University of Sussex) | Towards the supersymmetric standard model from intersecting D6-branes on
the Z_6' orientifold | 27 pages. Typos removed. Error regarding theta^2 and theta^3 twisted
sector cycles corrected. v4 Further corrections and reference added. New
material added on possibility of (a \circ b, a \circ b')=(3,0) and
contributions of antisymmetric representations to U(1) charges. To appear in
Nucl. Phys. B | Nucl.Phys.B755:79-111,2006; Nucl.Phys.B783:176-178,2007 | 10.1016/j.nuclphysb.2006.07.025 10.1016/j.nuclphysb.2007.08.005 | null | hep-th | null | We construct N=1 supersymmetric fractional branes on the Z_6' orientifold.
Intersecting stacks of such branes are needed to build a supersymmetric
standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L
gauge particles, then, in order to obtain just the chiral spectrum of the
(supersymmetric) standard model (with non-zero Yukawa couplings to the
Higgs multiplets), it is necessary that the number ofintersections a \circ b
of the stacks a and b, and the number of intersections a \circ b' of a with the
orientifold image b' of b satisfy (a \circ b,a \circ b')=\pm(2,1) or \pm(1,2).
It is also necessary that there is no matter in symmetric representations of
the gauge group, and not too much matter in antisymmetric representations, on
either stack. We provide a number of examples having these properties.
Different lattices give different solutions and different physics.
| [
{
"created": "Wed, 22 Mar 2006 11:28:15 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2006 12:58:28 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Jun 2006 09:39:20 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Jul 2006 13:07:50 GMT",
"version": "v4"
}
] | 2016-09-06 | [
[
"Bailin",
"David",
"",
"University of Sussex"
],
[
"Love",
"Alex",
"",
"University of Sussex"
]
] | We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs multiplets), it is necessary that the number ofintersections a \circ b of the stacks a and b, and the number of intersections a \circ b' of a with the orientifold image b' of b satisfy (a \circ b,a \circ b')=\pm(2,1) or \pm(1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. We provide a number of examples having these properties. Different lattices give different solutions and different physics. |
1006.0324 | Michael Thies | Andreas Klotzek, Michael Thies | Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the
Gross-Neveu model | 13 pages, 7 figures | J.Phys.A43:375401,2010 | 10.1088/1751-8113/43/37/375401 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Guided by a study of kink-antikink scattering in the Gross-Neveu model and
other known solutions of the Hartree-Fock approach of a particularly simple
type, we demonstrate a quantitative relationship between three different
problems: Quantized 1+1-dimensional fermions in the large N limit, solitons of
the classical sinh-Gordon equation and classical strings moving in
3-dimensional anti de Sitter space. Aside from throwing light on the
relationship between quantum field theory and classical physics, this points to
the full solvability of the dynamical N-kink-antikink problem in the
Gross-Neveu model.
| [
{
"created": "Wed, 2 Jun 2010 08:55:08 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Klotzek",
"Andreas",
""
],
[
"Thies",
"Michael",
""
]
] | Guided by a study of kink-antikink scattering in the Gross-Neveu model and other known solutions of the Hartree-Fock approach of a particularly simple type, we demonstrate a quantitative relationship between three different problems: Quantized 1+1-dimensional fermions in the large N limit, solitons of the classical sinh-Gordon equation and classical strings moving in 3-dimensional anti de Sitter space. Aside from throwing light on the relationship between quantum field theory and classical physics, this points to the full solvability of the dynamical N-kink-antikink problem in the Gross-Neveu model. |
hep-th/0301063 | Peter Kaste | Peter Kaste, Ruben Minasian, Michela Petrini, Alessandro Tomasiello | Nontrivial RR two-form field strength and SU(3)-structure | LaTeX, 8 pages, talk given at the 35th Symposium Ahrenshoop, enlarged
version of the contribution to the proceedings | Fortsch.Phys. 51 (2003) 764-768 | 10.1002/prop.200310095 | CPHT-RR 004.0103 | hep-th | null | We discuss how in the presence of a nontrivial RR two-form field strength and
nontrivial dilaton the conditions of preserving supersymmetry on
six-dimensional manifolds lead to generalized monopole and Killing spinor
equations. We show that the manifold is K\"ahler in the ten-dimensional string
frame if F_0^{(1,1)}=0. We then determine explicitly the intrinsic torsion of
the SU(3)-structure on six-manifolds that result via Kaluza-Klein reduction
from seven-manifolds with G_2-structure of generic intrinsic torsion. Lastly we
give explicitly the intrinsic torsion of the SU(3)-structure for an N=1
supersymmetric background in the presence of nontrivial RR two-form field
strength and nontrivial dilaton.
| [
{
"created": "Fri, 10 Jan 2003 16:04:03 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kaste",
"Peter",
""
],
[
"Minasian",
"Ruben",
""
],
[
"Petrini",
"Michela",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | We discuss how in the presence of a nontrivial RR two-form field strength and nontrivial dilaton the conditions of preserving supersymmetry on six-dimensional manifolds lead to generalized monopole and Killing spinor equations. We show that the manifold is K\"ahler in the ten-dimensional string frame if F_0^{(1,1)}=0. We then determine explicitly the intrinsic torsion of the SU(3)-structure on six-manifolds that result via Kaluza-Klein reduction from seven-manifolds with G_2-structure of generic intrinsic torsion. Lastly we give explicitly the intrinsic torsion of the SU(3)-structure for an N=1 supersymmetric background in the presence of nontrivial RR two-form field strength and nontrivial dilaton. |
hep-th/0411188 | Alexander Kaganovich B. | E. I. Guendelman and A. B. Kaganovich | Neutrino Dark Energy | 8 pages, minor misprints corrected | null | null | null | hep-th astro-ph gr-qc hep-ph | null | There exist field theory models where the fermionic energy-momentum tensor
contains a term proportional to g_{\mu\nu}\bar{\Psi}\Psi which can be
responsible for a dark matter to dark energy transmutation. We study some
cosmological aspects of the new field theory effect where nonrelativistic
neutrinos are obliged to be drawn into cosmological expansion (by means of
dynamically changing their own parameters). This becomes possible as the
magnitudes of the cold neutrino and vacuum energy densities are comparable.
Some of the features of such Cosmo-Low Energy Physics (CLEP) state in the toy
model of the late time universe filled with homogeneous scalar field and
uniformly distributed nonrelativistic neutrinos: neutrino mass increases as
a^{3/2} ($a=a(t)$ is the scale factor); its energy density scales as a sort of
dark energy and its equation-of-state approaches w=-1 as a\to\infty; the total
energy density of such universe is less than it would be in the universe free
of fermionic matter at all. CLEP state can be realized in the framework of an
alternative gravity and matter fields theory. The latter is reduced to
canonical General Relativity when the fermionic matter built of the first two
fermion families is only taken into account. In this case also the 5-th force
problem is resolved automatically.
| [
{
"created": "Sun, 21 Nov 2004 13:01:07 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Nov 2004 11:35:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Guendelman",
"E. I.",
""
],
[
"Kaganovich",
"A. B.",
""
]
] | There exist field theory models where the fermionic energy-momentum tensor contains a term proportional to g_{\mu\nu}\bar{\Psi}\Psi which can be responsible for a dark matter to dark energy transmutation. We study some cosmological aspects of the new field theory effect where nonrelativistic neutrinos are obliged to be drawn into cosmological expansion (by means of dynamically changing their own parameters). This becomes possible as the magnitudes of the cold neutrino and vacuum energy densities are comparable. Some of the features of such Cosmo-Low Energy Physics (CLEP) state in the toy model of the late time universe filled with homogeneous scalar field and uniformly distributed nonrelativistic neutrinos: neutrino mass increases as a^{3/2} ($a=a(t)$ is the scale factor); its energy density scales as a sort of dark energy and its equation-of-state approaches w=-1 as a\to\infty; the total energy density of such universe is less than it would be in the universe free of fermionic matter at all. CLEP state can be realized in the framework of an alternative gravity and matter fields theory. The latter is reduced to canonical General Relativity when the fermionic matter built of the first two fermion families is only taken into account. In this case also the 5-th force problem is resolved automatically. |
hep-th/0402093 | Raimar Wulkenhaar | Harald Grosse (Vienna), Raimar Wulkenhaar (Leipzig) | The \beta-function in duality-covariant noncommutative \phi^4-theory | 11 pages, LaTeX | Eur.Phys.J. C35 (2004) 277-282 | 10.1140/epjc/s2004-01853-x | null | hep-th | null | We compute the one-loop \beta-functions describing the renormalisation of the
coupling constant \lambda and the frequency parameter \Omega for the real
four-dimensional duality-covariant noncommutative \phi^4-model, which is
renormalisable to all orders. The contribution from the one-loop four-point
function is reduced by the one-loop wavefunction renormalisation, but the
\beta_\lambda-function remains non-negative. Both \beta_\lambda and
\beta_\Omega vanish at the one-loop level for the duality-invariant model
characterised by \Omega=1. Moreover, \beta_\Omega also vanishes in the limit
\Omega \to 0, which defines the standard noncommutative \phi^4-quantum field
theory. Thus, the limit \Omega \to 0 exists at least at the one-loop level.
| [
{
"created": "Thu, 12 Feb 2004 15:31:44 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Grosse",
"Harald",
"",
"Vienna"
],
[
"Wulkenhaar",
"Raimar",
"",
"Leipzig"
]
] | We compute the one-loop \beta-functions describing the renormalisation of the coupling constant \lambda and the frequency parameter \Omega for the real four-dimensional duality-covariant noncommutative \phi^4-model, which is renormalisable to all orders. The contribution from the one-loop four-point function is reduced by the one-loop wavefunction renormalisation, but the \beta_\lambda-function remains non-negative. Both \beta_\lambda and \beta_\Omega vanish at the one-loop level for the duality-invariant model characterised by \Omega=1. Moreover, \beta_\Omega also vanishes in the limit \Omega \to 0, which defines the standard noncommutative \phi^4-quantum field theory. Thus, the limit \Omega \to 0 exists at least at the one-loop level. |
1302.3760 | Masahide Manabe | Yoshinori Honma, Masahide Manabe | Exact Kahler Potential for Calabi-Yau Fourfolds | 40 pages. v2: minor corrections. v3: minor changes, some
clarifications in section 4.4 and appendix A.3 | null | 10.1007/JHEP05(2013)102 | HRI/ST/1301 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum Kahler moduli space of Calabi-Yau fourfolds. Our analysis is
based on the recent work by Jockers et al. which gives a novel method to
compute the Kahler potential on the quantum Kahler moduli space of Calabi-Yau
manifold. In contrast to Calabi-Yau threefold, the quantum nature of higher
dimensional Calabi-Yau manifold is yet to be fully elucidated. In this paper we
focus on the Calabi-Yau fourfold. In particular, we conjecture the explicit
form of the quantum-corrected Kahler potential. We also compute the genus zero
Gromov-Witten invariants and test our conjecture by comparing the results with
predictions from mirror symmetry. Local toric Calabi-Yau varieties are also
discussed.
| [
{
"created": "Fri, 15 Feb 2013 14:15:20 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2013 16:48:08 GMT",
"version": "v2"
},
{
"created": "Sun, 19 May 2013 15:27:50 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Honma",
"Yoshinori",
""
],
[
"Manabe",
"Masahide",
""
]
] | We study quantum Kahler moduli space of Calabi-Yau fourfolds. Our analysis is based on the recent work by Jockers et al. which gives a novel method to compute the Kahler potential on the quantum Kahler moduli space of Calabi-Yau manifold. In contrast to Calabi-Yau threefold, the quantum nature of higher dimensional Calabi-Yau manifold is yet to be fully elucidated. In this paper we focus on the Calabi-Yau fourfold. In particular, we conjecture the explicit form of the quantum-corrected Kahler potential. We also compute the genus zero Gromov-Witten invariants and test our conjecture by comparing the results with predictions from mirror symmetry. Local toric Calabi-Yau varieties are also discussed. |
2011.10579 | Pietro Ferrero | Pietro Ferrero, Jerome P. Gauntlett, Juan Manuel P\'erez Ipi\~na,
Dario Martelli, James Sparks | D3-branes wrapped on a spindle | 6 pages. Minor changes. Matches published version | Phys. Rev. Lett. 126, 111601 (2021) | 10.1103/PhysRevLett.126.111601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct supersymmetric $AdS_3\times \Sigma$ solutions of minimal gauged
supergravity in $D=5$, where $\Sigma$ is a two-dimensional orbifold known as a
spindle. Remarkably, these uplift on $S^5$, or more generally on any regular
Sasaki-Einstein manifold, to smooth solutions of type IIB supergravity. The
solutions are dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs and we show that the
central charge for the gravity solution agrees with a field theory calculation
associated with D3-branes wrapped on $\Sigma$. Unlike for smooth $\Sigma$ the
superconformal R-symmetry mixes with the $U(1)$ isometry of the spindle.
| [
{
"created": "Fri, 20 Nov 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2021 08:08:22 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Ferrero",
"Pietro",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Ipiña",
"Juan Manuel Pérez",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] | We construct supersymmetric $AdS_3\times \Sigma$ solutions of minimal gauged supergravity in $D=5$, where $\Sigma$ is a two-dimensional orbifold known as a spindle. Remarkably, these uplift on $S^5$, or more generally on any regular Sasaki-Einstein manifold, to smooth solutions of type IIB supergravity. The solutions are dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs and we show that the central charge for the gravity solution agrees with a field theory calculation associated with D3-branes wrapped on $\Sigma$. Unlike for smooth $\Sigma$ the superconformal R-symmetry mixes with the $U(1)$ isometry of the spindle. |
hep-th/0305175 | Shibaji Roy | Shibaji Roy | Dimensional reductions of M-theory S-branes to string theory S-branes | 14 pages, latex, no figures, v2: typos corrected, references added,
v3: minor corrections, version to appear in Phys. Lett. B | Phys.Lett. B576 (2003) 199-208 | 10.1016/j.physletb.2003.09.075 | null | hep-th | null | We study both the direct and the double dimensional reduction of space-like
branes of M-theory and point out some peculiarities in the process unlike their
time-like counterpart. In particular, we show how starting from SM2 and
SM5-brane solutions we can obtain SD2 and SNS5-brane as well as SNS1 and
SD4-brane solutions of string theory by direct and double dimensional
reductions respectively. In the former case we need to use delocalized SM-brane
solutions, whereas in the latter case we need to use anisotropic SM-brane
solutions in the directions which are compactified.
| [
{
"created": "Tue, 20 May 2003 12:37:27 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2003 10:15:09 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Sep 2003 10:28:58 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Roy",
"Shibaji",
""
]
] | We study both the direct and the double dimensional reduction of space-like branes of M-theory and point out some peculiarities in the process unlike their time-like counterpart. In particular, we show how starting from SM2 and SM5-brane solutions we can obtain SD2 and SNS5-brane as well as SNS1 and SD4-brane solutions of string theory by direct and double dimensional reductions respectively. In the former case we need to use delocalized SM-brane solutions, whereas in the latter case we need to use anisotropic SM-brane solutions in the directions which are compactified. |
1701.04657 | Juan Rojas Dr. | F. Escalante and J.C. Rojas | Casimir Energy in a Bounded Gross-Neveu model | 14 pages, 7 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we study some relevant physical parameters of the massless
Gross-Neveu model in a finite spatial dimension for different boundary
conditions. It is considered the standard homogeneous Hartree Fock solution
using zeta function regularization for the study the mass dynamically generated
and its respective beta function. It is found that the beta function does not
depend on the Boundary conditions. On the other hand, it was considered the
Casimir effect of the resulting effective theory. There appears a complex
picture where the sign of the generated forces depends on the parameters used
in the study.
| [
{
"created": "Tue, 17 Jan 2017 13:04:20 GMT",
"version": "v1"
}
] | 2017-01-18 | [
[
"Escalante",
"F.",
""
],
[
"Rojas",
"J. C.",
""
]
] | In this letter we study some relevant physical parameters of the massless Gross-Neveu model in a finite spatial dimension for different boundary conditions. It is considered the standard homogeneous Hartree Fock solution using zeta function regularization for the study the mass dynamically generated and its respective beta function. It is found that the beta function does not depend on the Boundary conditions. On the other hand, it was considered the Casimir effect of the resulting effective theory. There appears a complex picture where the sign of the generated forces depends on the parameters used in the study. |
hep-th/0006057 | Y. M. Cho | Y. M. Cho, D. G. Pak | Effective Action - A Convergent Series - of QED | 4 pages | Phys.Rev.Lett. 86 (2001) 1947-1950 | 10.1103/PhysRevLett.86.1947 | null | hep-th | null | The one-loop effective action of QED obtained by Euler and Heisenberg and by
Schwinger has been expressed by an asymptotic perturbative series which is
divergent. In this letter we present a non-perturbative but convergent series
of the effective action. With the convergent series we establish the existence
of the manifest electric-magnetic duality in the one loop effective action of
QED.
| [
{
"created": "Thu, 8 Jun 2000 07:32:13 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2000 06:27:21 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Sep 2000 05:58:11 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Oct 2000 03:47:01 GMT",
"version": "v4"
},
{
"created": "Fri, 3 Nov 2000 03:18:12 GMT",
"version": "v5"
}
] | 2009-10-31 | [
[
"Cho",
"Y. M.",
""
],
[
"Pak",
"D. G.",
""
]
] | The one-loop effective action of QED obtained by Euler and Heisenberg and by Schwinger has been expressed by an asymptotic perturbative series which is divergent. In this letter we present a non-perturbative but convergent series of the effective action. With the convergent series we establish the existence of the manifest electric-magnetic duality in the one loop effective action of QED. |
hep-th/0103043 | Heinrich Saller | Heinrich Saller (Max-Planck-Institut f\"ur Physik) | Spacetime as the Manifold of the Internal Symmetry Orbits in the
External Symmetries | 14 pages, latex, macros included | Int.J.Theor.Phys. 40 (2001) 1545-1559 | null | MPI-PhT/01-05 | hep-th | null | Interactions and particles in the standard model are characterized by the
action of internal and external symmetry groups. The four symmetry regimes
involved are related to each other in the context of induced group
representations. In addition to Wigner's induced representations of external
Poincar\'e group operations, parametrized by energy-momenta, and the induced
internal hyperisospin representations, parametrized by the standard model Higgs
field, the external operations, including the Lorentz group, can be considered
to be induced also by representations of the internal hypercharge-isospin
group. In such an interpretation nonlinear spacetime is parametrized by the
orbits of the internal action group in the external action group.
| [
{
"created": "Wed, 7 Mar 2001 12:44:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saller",
"Heinrich",
"",
"Max-Planck-Institut für Physik"
]
] | Interactions and particles in the standard model are characterized by the action of internal and external symmetry groups. The four symmetry regimes involved are related to each other in the context of induced group representations. In addition to Wigner's induced representations of external Poincar\'e group operations, parametrized by energy-momenta, and the induced internal hyperisospin representations, parametrized by the standard model Higgs field, the external operations, including the Lorentz group, can be considered to be induced also by representations of the internal hypercharge-isospin group. In such an interpretation nonlinear spacetime is parametrized by the orbits of the internal action group in the external action group. |
1606.00769 | Harold Steinacker | Harold C. Steinacker | Emergent gravity on covariant quantum spaces in the IKKT model | 38+8 pages, 1 figure. V2: substantial revision: extension to thick
spheres and rank 3 tensor, modified conclusion. V3: more transparent analysis
of gravity modes, typos fixed | null | 10.1007/JHEP12(2016)156 | UWThPh-2016-8 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the
IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified
among the excitation modes with lowest spin, supplemented by a tower of
higher-spin fields. They arise from an internal structure which can be viewed
as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry.
The linearized 4-dimensional Einstein equations are obtained from the classical
matrix model action under certain conditions, modified by an IR cutoff. Some
one-loop contributions to the effective action are computed using the formalism
of string states.
| [
{
"created": "Thu, 2 Jun 2016 17:11:14 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2016 12:15:14 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Feb 2017 17:16:56 GMT",
"version": "v3"
}
] | 2017-02-28 | [
[
"Steinacker",
"Harold C.",
""
]
] | We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation modes with lowest spin, supplemented by a tower of higher-spin fields. They arise from an internal structure which can be viewed as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry. The linearized 4-dimensional Einstein equations are obtained from the classical matrix model action under certain conditions, modified by an IR cutoff. Some one-loop contributions to the effective action are computed using the formalism of string states. |
0903.0988 | Andrew Low | Andrew M. Low | N=6 Membrane Worldvolume Superalgebra | 24 pages; references added | JHEP 0904:105,2009 | 10.1088/1126-6708/2009/04/105 | QMUL-PH-09-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:0806.0363 the worldvolume superalgebra of the $\mathcal{N}=8$
Bagger-Lambert theory was calculated. In this paper we derive the general form
for the worldvolume superalgebra of the $\mathcal{N}=6$ Bagger-Lambert theory.
For a particular choice of three-algebra we derive the superalgebra of the ABJM
theory. We interpret the associated central charges in terms of BPS brane
configurations. In particular we find the central charge corresponding to the
energy bound of the BPS fuzzy-funnel configuration of the ABJM theory. We also
derive general expressions for the BPS equations of the $\mathcal{N}=6$
Bagger-Lambert theory.
| [
{
"created": "Thu, 5 Mar 2009 13:51:41 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2009 14:32:08 GMT",
"version": "v2"
}
] | 2009-05-01 | [
[
"Low",
"Andrew M.",
""
]
] | In arXiv:0806.0363 the worldvolume superalgebra of the $\mathcal{N}=8$ Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the $\mathcal{N}=6$ Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we find the central charge corresponding to the energy bound of the BPS fuzzy-funnel configuration of the ABJM theory. We also derive general expressions for the BPS equations of the $\mathcal{N}=6$ Bagger-Lambert theory. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.