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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1206.2317 | Kirill Petunin | Kirill Petunin | Wall-Crossing in Supersymmetric Gauge Theories | Ph.D. thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study $\mathcal{N}=2$ supersymmetric Yang--Mills theory in four dimensions
and then compactify it on $\mathbb{R}^{3}\times S^{1}$. The gauge symmetry of
the theory is broken by a vacuum expectation value of the scalar field, which
parametrises the moduli space. The spectrum of BPS states, carrying electric
and magnetic charges, is piece-wise constant, changing only when the vacuum
expectation value crosses the so-called walls of marginal stability. Kontsevich
and Soibelman proposed an algebraic construction relating BPS spectra on both
sides of a wall of marginal stability. These formulae are known to correctly
relate the strong- and weak-coupling spectra in theories with gauge group SU(2)
with and without fundamental flavours; we generalise this result to gauge group
SU(n) without flavours in the weak-coupling regime. In addition, we find the
walls of marginal stability in the SU(n) theory at the root of the Higgs branch
and, employing the wall-crossing formula, determine the BPS spectrum in all
regions of the moduli space. Gaiotto, Moore, and Neitzke (GMN) proposed an
ansatz expressing the moduli space metric of $\mathcal{N}=2$ theory on
$\mathbb{R}^{3}\times S^{1}$ in terms of a set of integral equations. Using the
GMN ansatz, we find perturbative and instanton corrections in
$\mathbb{R}^{3}\times S^{1}$ for gauge group SU(2) with or without flavours and
for gauge group SU(n) without flavours. For gauge group SU(n), we also
demonstrate that the predicted two-instanton metric is continuous across the
walls. Then, we calculate instanton corrections from first principles. We find
perfect agreement between the GMN prediction and the first-principles result.
We also take the limit of small radius of the compactified dimension finding
one- and two-instanton corrections in three dimensions, recovering some of the
previously known semiclassical results.
| [
{
"created": "Mon, 11 Jun 2012 19:02:07 GMT",
"version": "v1"
}
] | 2012-06-12 | [
[
"Petunin",
"Kirill",
""
]
] | We study $\mathcal{N}=2$ supersymmetric Yang--Mills theory in four dimensions and then compactify it on $\mathbb{R}^{3}\times S^{1}$. The gauge symmetry of the theory is broken by a vacuum expectation value of the scalar field, which parametrises the moduli space. The spectrum of BPS states, carrying electric and magnetic charges, is piece-wise constant, changing only when the vacuum expectation value crosses the so-called walls of marginal stability. Kontsevich and Soibelman proposed an algebraic construction relating BPS spectra on both sides of a wall of marginal stability. These formulae are known to correctly relate the strong- and weak-coupling spectra in theories with gauge group SU(2) with and without fundamental flavours; we generalise this result to gauge group SU(n) without flavours in the weak-coupling regime. In addition, we find the walls of marginal stability in the SU(n) theory at the root of the Higgs branch and, employing the wall-crossing formula, determine the BPS spectrum in all regions of the moduli space. Gaiotto, Moore, and Neitzke (GMN) proposed an ansatz expressing the moduli space metric of $\mathcal{N}=2$ theory on $\mathbb{R}^{3}\times S^{1}$ in terms of a set of integral equations. Using the GMN ansatz, we find perturbative and instanton corrections in $\mathbb{R}^{3}\times S^{1}$ for gauge group SU(2) with or without flavours and for gauge group SU(n) without flavours. For gauge group SU(n), we also demonstrate that the predicted two-instanton metric is continuous across the walls. Then, we calculate instanton corrections from first principles. We find perfect agreement between the GMN prediction and the first-principles result. We also take the limit of small radius of the compactified dimension finding one- and two-instanton corrections in three dimensions, recovering some of the previously known semiclassical results. |
1202.2863 | James Barnard Dr | Steven Abel and James Barnard | Seiberg duality versus hidden local symmetry | 50 pages, 4 figures, improved treatment of Kahler potential and
comments added | null | 10.1007/JHEP05(2012)044 | IPPP/12/06, DCPT/12/12 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is widely believed that the emergent magnetic gauge symmetry of SQCD is
analogous to a hidden local symmetry (HLS). We explore this idea in detail,
deriving the entire (spontaneously broken) magnetic theory by applying the HLS
formalism to spontaneously broken SU(N) SQCD. We deduce the K\"ahler potential
in the HLS description, and show that gauge and flavour symmetry are smoothly
restored along certain scaling directions in moduli space. We propose that it
is these symmetry restoring directions, associated with the R-symmetry of the
theory, that allow full Seiberg duality. Reconsidering the origin of the
magnetic gauge bosons as the rho-mesons of the electric theory, colour-flavour
locking allows a simple determination of the parameter "a". Its value
continuously interpolates between a=2 on the baryonic branch of moduli space -
corresponding to "vector meson dominance" - and a=1 on the mesonic branch. Both
limiting values are consistent with previous results in the literature. The HLS
formalism is further applied to SO and Sp groups, where the usual Seiberg duals
are recovered, as well as adjoint SQCD. Finally we discuss some possible future
applications, including (naturally) the unitarisation of composite W
scattering, blended Higgs/technicolour models, real world QCD and
non-supersymmetric dualities.
| [
{
"created": "Mon, 13 Feb 2012 21:00:12 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Mar 2012 05:14:50 GMT",
"version": "v2"
},
{
"created": "Tue, 15 May 2012 19:02:48 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Abel",
"Steven",
""
],
[
"Barnard",
"James",
""
]
] | It is widely believed that the emergent magnetic gauge symmetry of SQCD is analogous to a hidden local symmetry (HLS). We explore this idea in detail, deriving the entire (spontaneously broken) magnetic theory by applying the HLS formalism to spontaneously broken SU(N) SQCD. We deduce the K\"ahler potential in the HLS description, and show that gauge and flavour symmetry are smoothly restored along certain scaling directions in moduli space. We propose that it is these symmetry restoring directions, associated with the R-symmetry of the theory, that allow full Seiberg duality. Reconsidering the origin of the magnetic gauge bosons as the rho-mesons of the electric theory, colour-flavour locking allows a simple determination of the parameter "a". Its value continuously interpolates between a=2 on the baryonic branch of moduli space - corresponding to "vector meson dominance" - and a=1 on the mesonic branch. Both limiting values are consistent with previous results in the literature. The HLS formalism is further applied to SO and Sp groups, where the usual Seiberg duals are recovered, as well as adjoint SQCD. Finally we discuss some possible future applications, including (naturally) the unitarisation of composite W scattering, blended Higgs/technicolour models, real world QCD and non-supersymmetric dualities. |
hep-th/0002123 | Daniel Arnaudon | D. Arnaudon, R. Poghossian, A. Sedrakyan, P. Sorba | Integrable Chain Model with Additional Staggered Model Parameter | LaTeX2e with epic macro, 21 pages; references added/corrected; the
algebraic Bethe Ansatz solution for the staggered XXZ model is added | Nucl.Phys. B588 (2000) 638-655 | 10.1016/S0550-3213(00)00409-0 | LAPTH-781/00 | hep-th cond-mat.str-el nlin.SI | null | The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2
grading along both chain and time directions is presented. The XXZ model with
staggered disposition along a chain of both, the anisotropy \pm\Delta, as well
as shifts of the spectral parameters are considered and the corresponding
integrable model is constructed. The Hamiltonian of the model is computed in
fermionic and spin formulations. It involves three neighbour site interactions
and therefore can be considered as a zig-zag ladder model. The Algebraic Bethe
Ansatz technique is applied and the eigenstates, along with eigenvalues of the
transfer matrix of the model are found. The model has a free fermionic limit at
\Delta=0 and the integrable boundary terms are found in this case.
This construction is quite general and can be applied to other known
integrable models.
| [
{
"created": "Tue, 15 Feb 2000 13:57:20 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2000 17:37:53 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jun 2000 14:55:10 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Arnaudon",
"D.",
""
],
[
"Poghossian",
"R.",
""
],
[
"Sedrakyan",
"A.",
""
],
[
"Sorba",
"P.",
""
]
] | The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both, the anisotropy \pm\Delta, as well as shifts of the spectral parameters are considered and the corresponding integrable model is constructed. The Hamiltonian of the model is computed in fermionic and spin formulations. It involves three neighbour site interactions and therefore can be considered as a zig-zag ladder model. The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found. The model has a free fermionic limit at \Delta=0 and the integrable boundary terms are found in this case. This construction is quite general and can be applied to other known integrable models. |
2212.01951 | Bogdan Damski | Bogdan Damski | Periodic charge oscillations in the Proca theory | 17 pages, improvements in the discussion of the shock wave front | null | 10.1016/j.nuclphysb.2023.116300 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Proca theory of the real massive vector field. There is a
locally conserved 4-current operator in such a theory, which one may use to
define the charge operator. Accordingly, there are charged states in which the
expectation value of the charge operator is non-zero. We take a close look at
the charge operator and study the dynamics of the certain class of charged
states. For this purpose, we discuss the mean electric field and 4-current in
such states. The mean electric field has the periodically oscillating Coulomb
component, whose presence explains the periodic charge oscillations. A
complementary insight at such a phenomenon is provided by the mean 4-current,
whose discussion leads to the identification of a certain paradox. Last but not
least, we show that there is a shock wave propagating in the studied system,
which affects analyticity of the mean electric field and 4-current.
| [
{
"created": "Sun, 4 Dec 2022 23:19:13 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jan 2023 19:42:54 GMT",
"version": "v2"
}
] | 2023-08-16 | [
[
"Damski",
"Bogdan",
""
]
] | We consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation value of the charge operator is non-zero. We take a close look at the charge operator and study the dynamics of the certain class of charged states. For this purpose, we discuss the mean electric field and 4-current in such states. The mean electric field has the periodically oscillating Coulomb component, whose presence explains the periodic charge oscillations. A complementary insight at such a phenomenon is provided by the mean 4-current, whose discussion leads to the identification of a certain paradox. Last but not least, we show that there is a shock wave propagating in the studied system, which affects analyticity of the mean electric field and 4-current. |
hep-th/9411003 | Ctirad Klimcik | C.Klimcik, P.Severa | Strings in Spacetime Cotangent Bundle and T-duality | 10 pages, LaTeX (1 reference added) | Mod.Phys.Lett. A10 (1995) 323-330 | 10.1142/S0217732395000351 | CERN-TH.7490/94 | hep-th | null | A simple geometric description of T-duality is given by identifying the
cotangent bundles of the original and the dual manifold. Strings propagate
naturally in the cotangent bundle and the original and the dual string phase
spaces are obtained by different projections. Buscher's transformation follows
readily and it is literally projective. As an application of the formalism, we
prove that the duality is a symplectomorphism of the string phase spaces.
| [
{
"created": "Tue, 1 Nov 1994 15:24:17 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 1994 11:06:18 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Klimcik",
"C.",
""
],
[
"Severa",
"P.",
""
]
] | A simple geometric description of T-duality is given by identifying the cotangent bundles of the original and the dual manifold. Strings propagate naturally in the cotangent bundle and the original and the dual string phase spaces are obtained by different projections. Buscher's transformation follows readily and it is literally projective. As an application of the formalism, we prove that the duality is a symplectomorphism of the string phase spaces. |
1504.02759 | Carlos Mafra | Humberto Gomez, Carlos R. Mafra, Oliver Schlotterer | The two-loop superstring five-point amplitude and S-duality | 42 pages, harvmac tex | Phys. Rev. D 93, 045030 (2016) | 10.1103/PhysRevD.93.045030 | DAMTP-2015-20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The low-energy limit of the massless two-loop five-point amplitudes for both
type IIA and type IIB superstrings is computed with the pure spinor formalism
and its overall coefficient determined from first principles. For the type IIB
theory, the five-graviton amplitude is found to be proportional to its
tree-level counterpart at the corresponding order in $\alpha'$. Their ratio
ties in with expectations based on S-duality since it matches the same modular
function $E_{5/2}$ which relates the two-loop and tree-level four-graviton
amplitudes. For R-symmetry violating states, the ratio between tree-level and
two-loop amplitudes at the same $\alpha'$-order carries an additional factor of
$-3/5$. Its S-duality origin can be traced back to a modular form derived from
$E_{5/2}$.
| [
{
"created": "Fri, 10 Apr 2015 18:44:33 GMT",
"version": "v1"
}
] | 2016-03-02 | [
[
"Gomez",
"Humberto",
""
],
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB theory, the five-graviton amplitude is found to be proportional to its tree-level counterpart at the corresponding order in $\alpha'$. Their ratio ties in with expectations based on S-duality since it matches the same modular function $E_{5/2}$ which relates the two-loop and tree-level four-graviton amplitudes. For R-symmetry violating states, the ratio between tree-level and two-loop amplitudes at the same $\alpha'$-order carries an additional factor of $-3/5$. Its S-duality origin can be traced back to a modular form derived from $E_{5/2}$. |
1702.06960 | Mudassir Moosa | Mudassir Moosa | Non-relativistic geometry of holographic screens | v2: published version | null | 10.1007/JHEP06(2017)038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose that the intrinsic geometry of holographic screens should be
described by the Newton-Cartan geometry. As a test of this proposal, we show
that the evolution equations of the screen can be written in a covariant form
in terms of a stress tensor, an energy current, and a momentum one-form. We
derive the expressions for the stress tensor, energy density, and momentum
one-form using Brown-York action formalism.
| [
{
"created": "Wed, 22 Feb 2017 19:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 2017 07:23:20 GMT",
"version": "v2"
}
] | 2017-06-09 | [
[
"Moosa",
"Mudassir",
""
]
] | We propose that the intrinsic geometry of holographic screens should be described by the Newton-Cartan geometry. As a test of this proposal, we show that the evolution equations of the screen can be written in a covariant form in terms of a stress tensor, an energy current, and a momentum one-form. We derive the expressions for the stress tensor, energy density, and momentum one-form using Brown-York action formalism. |
hep-th/0409091 | Zachary Guralnik | Z. Guralnik, S. Kovacs, B. Kulik | Less is More: Non-renormalization Theorems from Lower Dimensional
Superspace | 8 pages, based on talk given by Z. Guralnik at 8th Workshop on
Non-perturbative QCD, Paris, June 2004 | Int.J.Mod.Phys. A20 (2005) 4546-4553 | 10.1142/S0217751X05028193 | null | hep-th | null | We discuss a new class of non-renormalization theorems in N=4 and N=2
Super-Yang-Mills theory, obtained by using a superspace which makes a lower
dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops
(and Wilson lines) belong to the chiral ring of the lower dimensional
supersymmetry algebra, and their expectation values can be computed exactly.
| [
{
"created": "Tue, 7 Sep 2004 20:26:22 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Guralnik",
"Z.",
""
],
[
"Kovacs",
"S.",
""
],
[
"Kulik",
"B.",
""
]
] | We discuss a new class of non-renormalization theorems in N=4 and N=2 Super-Yang-Mills theory, obtained by using a superspace which makes a lower dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops (and Wilson lines) belong to the chiral ring of the lower dimensional supersymmetry algebra, and their expectation values can be computed exactly. |
1406.0160 | Leonid Lantsman | Leonid Lantsman | Topological Dirac variables in Abelian $U(1)$ theory | The Coulomb law for two magnetic charges is recorded manifestly on p.
48. arXiv admin note: text overlap with arXiv:hep-th/0109218 by other authors | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this study we, remembering the experience with topological Dirac variables
in the non-Abelian Yang-Mills-Higgs (YMH) model with vacuuum BPS monopole
solutions, attempt to construct similar for the Abelian $U(1)$ model. We show
that QED, as one understands it commonly, is only the topologically trivial
sector ($n=0$) of this Abelian $U(1)$ model. For $n\neq 0$ one gets Dirac
monopole modes. In both the cases, $n=0$ and $n\neq 0$, the theory can be
quantized via the Hamiltonian reduction in terms of Dirac variables.
| [
{
"created": "Sun, 1 Jun 2014 13:12:34 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2014 10:53:09 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Dec 2014 14:56:02 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Jun 2015 10:39:52 GMT",
"version": "v4"
},
{
"created": "Sun, 23 Aug 2015 12:40:19 GMT",
"version": "v5"
},
{
"created": "Sun, 1 May 2016 12:03:46 GMT",
"version": "v6"
},
{
"created": "Sun, 6 Nov 2016 12:18:55 GMT",
"version": "v7"
},
{
"created": "Sun, 20 Nov 2016 13:27:53 GMT",
"version": "v8"
}
] | 2016-11-22 | [
[
"Lantsman",
"Leonid",
""
]
] | In this study we, remembering the experience with topological Dirac variables in the non-Abelian Yang-Mills-Higgs (YMH) model with vacuuum BPS monopole solutions, attempt to construct similar for the Abelian $U(1)$ model. We show that QED, as one understands it commonly, is only the topologically trivial sector ($n=0$) of this Abelian $U(1)$ model. For $n\neq 0$ one gets Dirac monopole modes. In both the cases, $n=0$ and $n\neq 0$, the theory can be quantized via the Hamiltonian reduction in terms of Dirac variables. |
1102.0011 | James Gray | Lara B. Anderson, James Gray, Andre Lukas and Burt Ovrut | Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua | 24 pages, 2 figures | Phys.Rev.D83:106011,2011 | 10.1103/PhysRevD.83.106011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a scenario to stabilize all geometric moduli - that is, the
complex structure, Kahler moduli and the dilaton - in smooth heterotic
Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is
accomplished using the gauge bundle required in any heterotic compactification,
whose perturbative effects on the moduli are combined with non-perturbative
corrections. We argue that, for appropriate gauge bundles, all complex
structure and a large number of other moduli can be perturbatively stabilized -
in the most restrictive case, leaving only one combination of Kahler moduli and
the dilaton as a flat direction. At this stage, the remaining moduli space
consists of Minkowski vacua. That is, the perturbative superpotential vanishes
in the vacuum without the necessity to fine-tune flux. Finally, we incorporate
non-perturbative effects such as gaugino condensation and/or instantons. These
are strongly constrained by the anomalous U(1) symmetries which arise from the
required bundle constructions. We present a specific example, with a consistent
choice of non-perturbative effects, where all remaining flat directions are
stabilized in an AdS vacuum.
| [
{
"created": "Mon, 31 Jan 2011 21:09:02 GMT",
"version": "v1"
}
] | 2011-06-08 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt",
""
]
] | We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kahler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the gauge bundle required in any heterotic compactification, whose perturbative effects on the moduli are combined with non-perturbative corrections. We argue that, for appropriate gauge bundles, all complex structure and a large number of other moduli can be perturbatively stabilized - in the most restrictive case, leaving only one combination of Kahler moduli and the dilaton as a flat direction. At this stage, the remaining moduli space consists of Minkowski vacua. That is, the perturbative superpotential vanishes in the vacuum without the necessity to fine-tune flux. Finally, we incorporate non-perturbative effects such as gaugino condensation and/or instantons. These are strongly constrained by the anomalous U(1) symmetries which arise from the required bundle constructions. We present a specific example, with a consistent choice of non-perturbative effects, where all remaining flat directions are stabilized in an AdS vacuum. |
1201.4865 | Noburo Shiba | Noburo Shiba | Entanglement Entropy of Two Spheres | 17 pages, 9 figures; v4, added references, revised argument in
section V, a typo in eq.(25) corrected, published version | JHEP07(2012)100 | 10.1007/JHEP07(2012)100 | OU-HET 738/2012 | hep-th astro-ph.HE gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement entropy S_{AB} of a massless free scalar field on
two spheres A and B whose radii are R_1 and R_2, respectively, and the distance
between the centers of them is r. The state of the massless free scalar field
is the vacuum state. We obtain the result that the mutual information
S_{A;B}:=S_A+S_B-S_{AB} is independent of the ultraviolet cutoff and
proportional to the product of the areas of the two spheres when r>>R_1,R_2,
where S_A and S_B are the entanglement entropy on the inside region of A and B,
respectively. We discuss possible connections of this result with the physics
of black holes.
| [
{
"created": "Mon, 23 Jan 2012 21:02:36 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Feb 2012 15:14:52 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Apr 2012 12:44:35 GMT",
"version": "v3"
},
{
"created": "Tue, 24 Jul 2012 13:10:14 GMT",
"version": "v4"
}
] | 2012-07-25 | [
[
"Shiba",
"Noburo",
""
]
] | We study the entanglement entropy S_{AB} of a massless free scalar field on two spheres A and B whose radii are R_1 and R_2, respectively, and the distance between the centers of them is r. The state of the massless free scalar field is the vacuum state. We obtain the result that the mutual information S_{A;B}:=S_A+S_B-S_{AB} is independent of the ultraviolet cutoff and proportional to the product of the areas of the two spheres when r>>R_1,R_2, where S_A and S_B are the entanglement entropy on the inside region of A and B, respectively. We discuss possible connections of this result with the physics of black holes. |
1807.11390 | Nikola I. Gushterov | Nikola I. Gushterov | Quasinormal Modes and Correlators in the Shear Channel of
Spacetime-Filling Branes | 34 pages, 53 pdf files in 11 figures, 7 gif animations and one
appendix | null | null | OUTP-18-05P | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the shear momentum diffusion and related modes of a strongly coupled
$(2+1)$-dimensional conformal field theory at finite temperature and chemical
potential, using a dual holographic description. We consider a space-time
filling charged black brane solution of Einstein's gravity in
$(3+1)$-dimensional asymptotically Anti-de Sitter space coupled to a $U(1)$
gauge field via a Dirac-Born-Infeld action. In addition to temperature and
chemical potential, the holographic model has two other parameters: the tension
of the brane, and the non-linearity parameter controlling the higher-derivative
terms of the $U(1)$ field. By varying the parameters, one can, in particular,
interpolate between the Reissner-Nordstrom-AdS background and the background of
probe branes embedded into AdS space. We find analytically the retarded
two-point functions of the shear (transverse to the direction of spatial
momentum) components of the energy-momentum tensor and the global $U(1)$
current of the $(2+1)$-dimensional field theory in the hydrodynamic
approximation. We also find numerically the location of the poles of the
correlators (quasinormal modes) for a wide range of the parameters, focusing on
the effects of the back-reaction and non-linearities. We show, in particular,
that the shear diffusion constant agrees with the hydrodynamic form for a wide
range of parameters, including temperature and backreaction.
| [
{
"created": "Mon, 30 Jul 2018 15:12:51 GMT",
"version": "v1"
}
] | 2018-07-31 | [
[
"Gushterov",
"Nikola I.",
""
]
] | We study the shear momentum diffusion and related modes of a strongly coupled $(2+1)$-dimensional conformal field theory at finite temperature and chemical potential, using a dual holographic description. We consider a space-time filling charged black brane solution of Einstein's gravity in $(3+1)$-dimensional asymptotically Anti-de Sitter space coupled to a $U(1)$ gauge field via a Dirac-Born-Infeld action. In addition to temperature and chemical potential, the holographic model has two other parameters: the tension of the brane, and the non-linearity parameter controlling the higher-derivative terms of the $U(1)$ field. By varying the parameters, one can, in particular, interpolate between the Reissner-Nordstrom-AdS background and the background of probe branes embedded into AdS space. We find analytically the retarded two-point functions of the shear (transverse to the direction of spatial momentum) components of the energy-momentum tensor and the global $U(1)$ current of the $(2+1)$-dimensional field theory in the hydrodynamic approximation. We also find numerically the location of the poles of the correlators (quasinormal modes) for a wide range of the parameters, focusing on the effects of the back-reaction and non-linearities. We show, in particular, that the shear diffusion constant agrees with the hydrodynamic form for a wide range of parameters, including temperature and backreaction. |
hep-th/9410124 | Ali Chamseddine | A. H. Chamseddine | Review of Non-Commutative Geometric Methods Applied to Particle Physics | 16 pages | QUARKS '94: Proceedings371-386, Edited by D.Yu et al. World
Scientific, 1995 | null | null | hep-th | null | This is a brief review where some basic elements of non-commutative geometry
are given. The rules and ingredients that enter in the construction of the
standard model and grand unification models in non-commutative geometry are
summarized. A connection between some space-time supersymmetric models and
non-commutative geometry is made. The advantages and problems of this direction
are discussed.
| [
{
"created": "Tue, 18 Oct 1994 15:59:18 GMT",
"version": "v1"
}
] | 2015-03-10 | [
[
"Chamseddine",
"A. H.",
""
]
] | This is a brief review where some basic elements of non-commutative geometry are given. The rules and ingredients that enter in the construction of the standard model and grand unification models in non-commutative geometry are summarized. A connection between some space-time supersymmetric models and non-commutative geometry is made. The advantages and problems of this direction are discussed. |
1411.4142 | Mareike Haberichter | Mareike Haberichter | Isospinning Skyrmions | 12 pages, 5 figures. Talk given at 18th International Seminar on High
Energy Physics: Quarks - 2014, Suzdal, Russia, 2-8 June, 2014, typos
corrected, references added | null | null | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the Skyrme model atomic nuclei are modelled as quantized soliton solutions
in a nonlinear field theory of pions. The mass number is given by the conserved
topological charge $B$ of the solitons. Conventionally, Skyrmions are
semiclassically quantized within the rigid body approach. In this approach
Skyrmions are effectively treated as rigid rotors in space and isospace that is
it is assumed that Skyrmions do not deform at all when they spin and isospin.
This approximation resulted in qualitative and encouraging quantitative
agreement with experimental nuclear physics data. In this talk, we point out
that the theoretical agreement could be further improved by allowing classical
Skyrmion solutions to deform as they spin and isospin. As a first step towards
a better understanding of how nuclei can be approximated by classically
spinning and isospinning soliton solutions, we study how classical Skyrmion
solutions of topological charges $B=1-4,8$ deform when classical isospin is
added.
| [
{
"created": "Sat, 15 Nov 2014 13:02:42 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2015 19:51:34 GMT",
"version": "v2"
}
] | 2015-01-12 | [
[
"Haberichter",
"Mareike",
""
]
] | In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge $B$ of the solitons. Conventionally, Skyrmions are semiclassically quantized within the rigid body approach. In this approach Skyrmions are effectively treated as rigid rotors in space and isospace that is it is assumed that Skyrmions do not deform at all when they spin and isospin. This approximation resulted in qualitative and encouraging quantitative agreement with experimental nuclear physics data. In this talk, we point out that the theoretical agreement could be further improved by allowing classical Skyrmion solutions to deform as they spin and isospin. As a first step towards a better understanding of how nuclei can be approximated by classically spinning and isospinning soliton solutions, we study how classical Skyrmion solutions of topological charges $B=1-4,8$ deform when classical isospin is added. |
1311.0266 | Moataz Emam | Charles A. Canestaro, Moataz H. Emam | The five dimensional universal hypermultiplet and the cosmological
constant problem | null | Phys. Lett. B726 (2013) 913-917 | 10.1016/j.physletb.2013.09.055 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We model the universe as a 3-brane embedded in five dimensional spacetime
with N=2 supersymmetry. The presence of the scalar fields of the universal
hypermultiplet in the bulk results in a positive pressure effectively reducing
the value of the cosmological constant and thereby providing a possible answer
as to why the measured value of the cosmological constant is many orders of
magnitude smaller than predicted from the vacuum energy. The solution allows
for any number of parallel branes to exist and relates their cosmological
constants (as well as matter densities and radiation pressures) to the value of
the dilaton in the extra dimension. The results we find can be thought of as
first order approximations, satisfying supersymmetry breaking and the
Bogomol'nyi-Prasad-Sommerfield (BPS) conditions in the bulk only.
| [
{
"created": "Fri, 1 Nov 2013 19:27:56 GMT",
"version": "v1"
}
] | 2013-11-04 | [
[
"Canestaro",
"Charles A.",
""
],
[
"Emam",
"Moataz H.",
""
]
] | We model the universe as a 3-brane embedded in five dimensional spacetime with N=2 supersymmetry. The presence of the scalar fields of the universal hypermultiplet in the bulk results in a positive pressure effectively reducing the value of the cosmological constant and thereby providing a possible answer as to why the measured value of the cosmological constant is many orders of magnitude smaller than predicted from the vacuum energy. The solution allows for any number of parallel branes to exist and relates their cosmological constants (as well as matter densities and radiation pressures) to the value of the dilaton in the extra dimension. The results we find can be thought of as first order approximations, satisfying supersymmetry breaking and the Bogomol'nyi-Prasad-Sommerfield (BPS) conditions in the bulk only. |
hep-th/0110103 | Jihn E. Kim | Jihn E. Kim, Bumseok Kyae and Hyun Min Lee | Wave function of the radion in the brane background with a massless
scalar field and a self-tuning problem | Latex file of 18 pages including 1 eps figure | Phys.Rev.D66:106004,2002 | 10.1103/PhysRevD.66.106004 | null | hep-th | null | We consider flat solutions in the brane background with a massless scalar
field appearing in 5D $H^2_{MNPQ}$. Since there exist bulk singularities or
arises the divergent 4D Planck mass, we should introduce a compact extra
dimension, the size of which is then fixed by brane tension(s) and a bulk
cosmological constant. Inspecting scalar perturbations around the flat
solutions, we find that the flat solutions are stable vacua from the positive
mass spectrum of radion. We show that the massless radion mode is projected out
by the boundary condition arising in cutting off the extra dimension. Thus, the
fixed extra dimension is not alterable, which is not useful toward a
self-tuning of the cosmological constant.
| [
{
"created": "Thu, 11 Oct 2001 10:51:21 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2001 22:16:47 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Oct 2001 09:30:47 GMT",
"version": "v3"
}
] | 2011-05-12 | [
[
"Kim",
"Jihn E.",
""
],
[
"Kyae",
"Bumseok",
""
],
[
"Lee",
"Hyun Min",
""
]
] | We consider flat solutions in the brane background with a massless scalar field appearing in 5D $H^2_{MNPQ}$. Since there exist bulk singularities or arises the divergent 4D Planck mass, we should introduce a compact extra dimension, the size of which is then fixed by brane tension(s) and a bulk cosmological constant. Inspecting scalar perturbations around the flat solutions, we find that the flat solutions are stable vacua from the positive mass spectrum of radion. We show that the massless radion mode is projected out by the boundary condition arising in cutting off the extra dimension. Thus, the fixed extra dimension is not alterable, which is not useful toward a self-tuning of the cosmological constant. |
1603.06789 | Michele Cicoli | C.P. Burgess, M. Cicoli, S. de Alwis, F. Quevedo | Robust Inflation from Fibrous Strings | 27 pages + appendices, 4 figures | JCAP 1605 (2016) 032 | 10.1088/1475-7516/2016/05/032 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Successful inflationary models should (i) describe the data well; (ii) arise
generically from sensible UV completions; (iii) be insensitive to detailed
fine-tunings of parameters and (iv) make interesting new predictions. We argue
that a class of models with these properties is characterized by relatively
simple potentials with a constant term and negative exponentials. We here
continue earlier work exploring UV completions for these models, including the
key (though often ignored) issue of modulus stabilisation, to assess the
robustness of their predictions. We show that string models where the inflaton
is a fibration modulus seem to be robust due to an effective rescaling
symmetry, and fairly generic since most known Calabi-Yau manifolds are
fibrations. This class of models is characterized by a generic relation between
the tensor-to-scalar ratio $r$ and the spectral index $n_s$ of the form $r
\propto (n_s -1)^2$ where the proportionality constant depends on the nature of
the effects used to develop the inflationary potential and the topology of the
internal space. In particular we find that the largest values of the
tensor-to-scalar ratio that can be obtained by generalizing the original set-up
are of order $r \lesssim 0.01$. We contrast this general picture with specific
popular models, such as the Starobinsky scenario and $\alpha$-attractors.
Finally, we argue the self consistency of large-field inflationary models can
strongly constrain non-supersymmetric inflationary mechanisms.
| [
{
"created": "Tue, 22 Mar 2016 13:48:14 GMT",
"version": "v1"
}
] | 2016-08-30 | [
[
"Burgess",
"C. P.",
""
],
[
"Cicoli",
"M.",
""
],
[
"de Alwis",
"S.",
""
],
[
"Quevedo",
"F.",
""
]
] | Successful inflationary models should (i) describe the data well; (ii) arise generically from sensible UV completions; (iii) be insensitive to detailed fine-tunings of parameters and (iv) make interesting new predictions. We argue that a class of models with these properties is characterized by relatively simple potentials with a constant term and negative exponentials. We here continue earlier work exploring UV completions for these models, including the key (though often ignored) issue of modulus stabilisation, to assess the robustness of their predictions. We show that string models where the inflaton is a fibration modulus seem to be robust due to an effective rescaling symmetry, and fairly generic since most known Calabi-Yau manifolds are fibrations. This class of models is characterized by a generic relation between the tensor-to-scalar ratio $r$ and the spectral index $n_s$ of the form $r \propto (n_s -1)^2$ where the proportionality constant depends on the nature of the effects used to develop the inflationary potential and the topology of the internal space. In particular we find that the largest values of the tensor-to-scalar ratio that can be obtained by generalizing the original set-up are of order $r \lesssim 0.01$. We contrast this general picture with specific popular models, such as the Starobinsky scenario and $\alpha$-attractors. Finally, we argue the self consistency of large-field inflationary models can strongly constrain non-supersymmetric inflationary mechanisms. |
2105.11029 | Philip Tee | Philip Tee | Quantum Mechanics and the Continuum Limit of an Emergent Geometry | null | null | 10.31526/lhep.2021.203 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent advances in emergent geometry have identified a new class of models
that represent spacetime as the graph obtained as the ground state of
interacting Ising spins. These models have many desirable features, including
stable excitations possessing many of the characteristics of a quantum
particle. We analyze the dynamics of such excitations, including a detailed
treatment of the edge states not previously addressed. Using a minimal
prescription for the interaction of defects we numerically investigate
approximate bounds to the speed of propagation of such a `particle'. We
discover, using numerical simulations, that there may be a Lieb-Robinson bound
to propagation that could point the way to how a causal structure could be
accommodated in this class of emergent geometry models.
| [
{
"created": "Sun, 23 May 2021 22:36:11 GMT",
"version": "v1"
},
{
"created": "Sat, 29 May 2021 21:01:45 GMT",
"version": "v2"
}
] | 2021-06-08 | [
[
"Tee",
"Philip",
""
]
] | Recent advances in emergent geometry have identified a new class of models that represent spacetime as the graph obtained as the ground state of interacting Ising spins. These models have many desirable features, including stable excitations possessing many of the characteristics of a quantum particle. We analyze the dynamics of such excitations, including a detailed treatment of the edge states not previously addressed. Using a minimal prescription for the interaction of defects we numerically investigate approximate bounds to the speed of propagation of such a `particle'. We discover, using numerical simulations, that there may be a Lieb-Robinson bound to propagation that could point the way to how a causal structure could be accommodated in this class of emergent geometry models. |
hep-th/0512069 | Victor Elias | V. Elias, S. Homayouni and D. J. Jeffrey | Diminished Upper Bounds on the Unification Mass Scales for Heavy Higgs
Boson Masses | null | Mod.Phys.Lett. A21 (2006) 209-212 | 10.1142/S0217732306019621 | null | hep-th hep-ph | null | We consider dominant 3-, 4-, and 5-loop contributions to $\lambda$, the
quartic scalar coupling-constant's $\beta$-function in the Standard Model. We
find that these terms accelerate the evolution of $\lambda$ to nonperturbative
values, thereby lowering the unification bound for which scalar-couplings are
still perturbative. We also find that these higher order contributions imply a
substantial lowering of $\lambda$ itself before the anticipated onset of
nonperturbative physics in the Higgs sector.
| [
{
"created": "Tue, 6 Dec 2005 15:03:23 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Elias",
"V.",
""
],
[
"Homayouni",
"S.",
""
],
[
"Jeffrey",
"D. J.",
""
]
] | We consider dominant 3-, 4-, and 5-loop contributions to $\lambda$, the quartic scalar coupling-constant's $\beta$-function in the Standard Model. We find that these terms accelerate the evolution of $\lambda$ to nonperturbative values, thereby lowering the unification bound for which scalar-couplings are still perturbative. We also find that these higher order contributions imply a substantial lowering of $\lambda$ itself before the anticipated onset of nonperturbative physics in the Higgs sector. |
hep-th/0102171 | S. D. Joglekar | A. Basu (Univ. of Chicago) and S. D. Joglekar (I.I.T.Kanpur INDIA) | Nonlocal Regularization and Spontaneously Broken Abelian Gauge Theories
for an Arbitrary Gauge Parameter | 25 pages Latex,1 postscript figure; minor clarification added in
introduction, minor revisions, a reference corrected | Eur.Phys.J.direct C3:4,2001 | null | IITK/Phy/2001/26 | hep-th hep-ph | null | We study the non-local regularization for the case of a spontaneously broken
abelian gauge theory in the R_xi gauge with an arbitrary gauge parameter xi. We
consider a simple abelian-Higgs model with chiral couplings as an example. We
show that if we apply the nonlocal regularization procedure [to construct a
nonlocal theory with finite mass parameter ] to the spontaneously broken R_xi
gauge Lagrangian, using the quadratic forms as appearing in this Lagrangian, we
find that a physical observable in this model, an analogue of the muon
anomalous magnetic moment, evaluated to order O[g^{2}] does indeed show
xi-dependence.We then apply the modified form of nonlocal regularization that
was recently advanced and studied for the unbroken non-abelian gauge theories
and discuss the resulting WT identities and xi-independence of the S-matrix
elements.
| [
{
"created": "Sun, 25 Feb 2001 10:29:24 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Feb 2001 12:07:24 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Basu",
"A.",
"",
"Univ. of Chicago"
],
[
"Joglekar",
"S. D.",
"",
"I.I.T.Kanpur INDIA"
]
] | We study the non-local regularization for the case of a spontaneously broken abelian gauge theory in the R_xi gauge with an arbitrary gauge parameter xi. We consider a simple abelian-Higgs model with chiral couplings as an example. We show that if we apply the nonlocal regularization procedure [to construct a nonlocal theory with finite mass parameter ] to the spontaneously broken R_xi gauge Lagrangian, using the quadratic forms as appearing in this Lagrangian, we find that a physical observable in this model, an analogue of the muon anomalous magnetic moment, evaluated to order O[g^{2}] does indeed show xi-dependence.We then apply the modified form of nonlocal regularization that was recently advanced and studied for the unbroken non-abelian gauge theories and discuss the resulting WT identities and xi-independence of the S-matrix elements. |
hep-th/0505262 | Vladimir Karmanov | J. Carbonell and V.A. Karmanov | Cross-ladder effects in Bethe-Salpeter and Light-Front equations | 11 pages, 7 figures | Eur. Phys. J. A 27 (1), 11 (2006) | 10.1140/epja/i2005-10194-y | null | hep-th hep-ph nucl-th | null | Bethe-Salpeter (BS) equation in Minkowski space for scalar particles is
solved for a kernel given by a sum of ladder and cross-ladder exchanges. The
solution of corresponding Light-Front (LF) equation, where we add the
time-ordered stretched boxes, is also obtained. Cross-ladder contributions are
found to be very large and attractive, whereas the influence of stretched boxes
is negligible. Both approaches -- BS and LF -- give very close results.
| [
{
"created": "Mon, 30 May 2005 09:51:57 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2006 11:13:55 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Carbonell",
"J.",
""
],
[
"Karmanov",
"V. A.",
""
]
] | Bethe-Salpeter (BS) equation in Minkowski space for scalar particles is solved for a kernel given by a sum of ladder and cross-ladder exchanges. The solution of corresponding Light-Front (LF) equation, where we add the time-ordered stretched boxes, is also obtained. Cross-ladder contributions are found to be very large and attractive, whereas the influence of stretched boxes is negligible. Both approaches -- BS and LF -- give very close results. |
1306.3987 | Hernan Piragua | Mirjam Cveti\v{c} and Antonella Grassi and Denis Klevers and Hernan
Piragua | Chiral Four-Dimensional F-Theory Compactifications With SU(5) and
Multiple U(1)-Factors | 100 pages, 11 figures, 7 appendices; v3: minor changes requested by
the referee, typos corrected, references added to the introduction | null | 10.1007/JHEP04(2014)010 | UPR-1250-T | hep-th hep-ph math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop geometric techniques to determine the spectrum and the chiral
indices of matter multiplets for four-dimensional F-theory compactifications on
elliptic Calabi-Yau fourfolds with rank two Mordell-Weil group. The general
elliptic fiber is the Calabi-Yau onefold in dP_2. We classify its resolved
elliptic fibrations over a general base B. The study of singularities of these
fibrations leads to explicit matter representations, that we determine both for
U(1)xU(1) and SU(5)xU(1)xU(1) constructions. We determine for the first time
certain matter curves and surfaces using techniques involving prime ideals. The
vertical cohomology ring of these fourfolds is calculated for both cases and
general formulas for the Euler numbers are derived. Explicit calculations are
presented for a specific base B=P^3. We determine the general G_4-flux that
belongs to H^{(2,2)}_V of the resolved Calabi-Yau fourfolds. As a by-product,
we derive for the first time all conditions on G_4-flux in general F-theory
compactifications with a non-holomorphic zero section. These conditions have to
be formulated after a circle reduction in terms of Chern-Simons terms on the 3D
Coulomb branch and invoke M-theory/F-theory duality. New Chern-Simons terms are
generated by Kaluza-Klein states of the circle compactification. We explicitly
perform the relevant field theory computations, that yield non-vanishing
results precisely for fourfolds with a non-holomorphic zero section. Taking
into account the new Chern-Simons terms, all 4D matter chiralities are
determined via 3D M-theory/F-theory duality. We independently check these
chiralities using the subset of matter surfaces we determined. The presented
techniques are general and do not rely on toric data.
| [
{
"created": "Mon, 17 Jun 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2013 23:30:49 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Feb 2014 16:57:36 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Grassi",
"Antonella",
""
],
[
"Klevers",
"Denis",
""
],
[
"Piragua",
"Hernan",
""
]
] | We develop geometric techniques to determine the spectrum and the chiral indices of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau fourfolds with rank two Mordell-Weil group. The general elliptic fiber is the Calabi-Yau onefold in dP_2. We classify its resolved elliptic fibrations over a general base B. The study of singularities of these fibrations leads to explicit matter representations, that we determine both for U(1)xU(1) and SU(5)xU(1)xU(1) constructions. We determine for the first time certain matter curves and surfaces using techniques involving prime ideals. The vertical cohomology ring of these fourfolds is calculated for both cases and general formulas for the Euler numbers are derived. Explicit calculations are presented for a specific base B=P^3. We determine the general G_4-flux that belongs to H^{(2,2)}_V of the resolved Calabi-Yau fourfolds. As a by-product, we derive for the first time all conditions on G_4-flux in general F-theory compactifications with a non-holomorphic zero section. These conditions have to be formulated after a circle reduction in terms of Chern-Simons terms on the 3D Coulomb branch and invoke M-theory/F-theory duality. New Chern-Simons terms are generated by Kaluza-Klein states of the circle compactification. We explicitly perform the relevant field theory computations, that yield non-vanishing results precisely for fourfolds with a non-holomorphic zero section. Taking into account the new Chern-Simons terms, all 4D matter chiralities are determined via 3D M-theory/F-theory duality. We independently check these chiralities using the subset of matter surfaces we determined. The presented techniques are general and do not rely on toric data. |
1001.2001 | Sung-Soo Kim | Dmitry Belyaev, Lars Brink, Sung-Soo Kim, and Pierre Ramond | The BLG Theory in Light-Cone Superspace | 45 pages, v2: reference added, minor typos corrected, published
version | JHEP 1004:026,2010 | 10.1007/JHEP04(2010)026 | ULB-TH/09-37 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The light-cone superspace version of the d=3, N=8 superconformal theory of
Bagger, Lambert and Gustavsson (BLG) is obtained as a solution to constraints
imposed by OSp(2,2|8) superalgebra. The Hamiltonian of the theory is shown to
be a quadratic form of the dynamical supersymmetry transformation.
| [
{
"created": "Tue, 12 Jan 2010 20:59:24 GMT",
"version": "v1"
},
{
"created": "Mon, 3 May 2010 10:08:36 GMT",
"version": "v2"
}
] | 2010-05-07 | [
[
"Belyaev",
"Dmitry",
""
],
[
"Brink",
"Lars",
""
],
[
"Kim",
"Sung-Soo",
""
],
[
"Ramond",
"Pierre",
""
]
] | The light-cone superspace version of the d=3, N=8 superconformal theory of Bagger, Lambert and Gustavsson (BLG) is obtained as a solution to constraints imposed by OSp(2,2|8) superalgebra. The Hamiltonian of the theory is shown to be a quadratic form of the dynamical supersymmetry transformation. |
hep-th/0403026 | Latham Boyle | Latham A. Boyle, Paul J. Steinhardt, Neil Turok | A new duality relating density perturbations in expanding and
contracting Friedmann cosmologies | 9 pages, 2 figures, 1 table | Phys.Rev.D70:023504,2004 | 10.1103/PhysRevD.70.023504 | null | hep-th astro-ph gr-qc | null | For a 4-dimensional spatially-flat Friedmann-Robertson-Walker universe with a
scalar field $\phi(x)$, potential $V(\phi)$ and constant equation of state
$w=p/\rho$, we show that an expanding solution characterized by
$\epsilon=3(1+w)/2$ produces the same scalar perturbations as a contracting
solution with $\hat{\epsilon}=1/\epsilon$. The same symmetry applies to both
the dominant and subdominant scalar perturbation modes. This result admits a
simple physical interpretation and generalizes to $d$ spacetime dimensions if
we define $\epsilon \equiv [(2d-5)+(d-1)w]/(d-2)$.
| [
{
"created": "Tue, 2 Mar 2004 07:11:34 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Boyle",
"Latham A.",
""
],
[
"Steinhardt",
"Paul J.",
""
],
[
"Turok",
"Neil",
""
]
] | For a 4-dimensional spatially-flat Friedmann-Robertson-Walker universe with a scalar field $\phi(x)$, potential $V(\phi)$ and constant equation of state $w=p/\rho$, we show that an expanding solution characterized by $\epsilon=3(1+w)/2$ produces the same scalar perturbations as a contracting solution with $\hat{\epsilon}=1/\epsilon$. The same symmetry applies to both the dominant and subdominant scalar perturbation modes. This result admits a simple physical interpretation and generalizes to $d$ spacetime dimensions if we define $\epsilon \equiv [(2d-5)+(d-1)w]/(d-2)$. |
0812.2699 | Mikhail Smolyakov | A.S. Mikhailov, Yu.S. Mikhailov, M.N. Smolyakov, I.P. Volobuev | Gravity in a stabilized brane world model in five-dimensional
Brans-Dicke theory | 12 pages, LaTeX | Theor.Math.Phys.161:1424-1437,2009 | 10.1007/s11232-009-0129-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Linearized equations of motion for gravitational and scalar fields are found
and solved in a stabilized brane world model in five-dimensional Brans-Dicke
theory. The physical degrees of freedom are isolated, the mass spectrum of
Kaluza-Klein excitations is found and the coupling constants of these
excitations to matter on the negative tension brane are calculated.
| [
{
"created": "Mon, 15 Dec 2008 00:24:05 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Mikhailov",
"A. S.",
""
],
[
"Mikhailov",
"Yu. S.",
""
],
[
"Smolyakov",
"M. N.",
""
],
[
"Volobuev",
"I. P.",
""
]
] | Linearized equations of motion for gravitational and scalar fields are found and solved in a stabilized brane world model in five-dimensional Brans-Dicke theory. The physical degrees of freedom are isolated, the mass spectrum of Kaluza-Klein excitations is found and the coupling constants of these excitations to matter on the negative tension brane are calculated. |
hep-th/0610227 | Christoph Adam | C. Adam, J. Sanchez-Guillen, A. Wereszczynski | Conservation laws in Skyrme-type models | Latex file, 22 pages. Two (insignificant) errors in Eqs. 104-106
corrected | J.Math.Phys.48:032302,2007 | 10.1063/1.2710652 | null | hep-th | null | The zero curvature representation of Zakharov and Shabat has been generalized
recently to higher dimensions and has been used to construct non-linear field
theories which either are integrable or contain integrable submodels. The
Skyrme model, for instance, contains an integrable subsector with infinitely
many conserved currents, and the simplest Skyrmion with baryon number one
belongs to this subsector. Here we use a related method, based on the geometry
of target space, to construct a whole class of theories which are either
integrable or contain integrable subsectors (where integrability means the
existence of infinitely many conservation laws). These models have
three-dimensional target space, like the Skyrme model, and their infinitely
many conserved currents turn out to be Noether currents of the
volume-preserving diffeomorphisms on target space. Specifically for the Skyrme
model, we find both a weak and a strong integrability condition, where the
conserved currents form a subset of the algebra of volume-preserving
diffeomorphisms in both cases, but this subset is a subalgebra only for the
weak integrable submodel.
| [
{
"created": "Fri, 20 Oct 2006 15:05:46 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Feb 2008 18:27:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | The zero curvature representation of Zakharov and Shabat has been generalized recently to higher dimensions and has been used to construct non-linear field theories which either are integrable or contain integrable submodels. The Skyrme model, for instance, contains an integrable subsector with infinitely many conserved currents, and the simplest Skyrmion with baryon number one belongs to this subsector. Here we use a related method, based on the geometry of target space, to construct a whole class of theories which are either integrable or contain integrable subsectors (where integrability means the existence of infinitely many conservation laws). These models have three-dimensional target space, like the Skyrme model, and their infinitely many conserved currents turn out to be Noether currents of the volume-preserving diffeomorphisms on target space. Specifically for the Skyrme model, we find both a weak and a strong integrability condition, where the conserved currents form a subset of the algebra of volume-preserving diffeomorphisms in both cases, but this subset is a subalgebra only for the weak integrable submodel. |
1512.09061 | Emanuel Malek | Emanuel Malek | Dualising consistent truncations | 4 pages, contribution to the proceedings of "The String Theory
Universe" workshop in Leuven, 7-11 Sept 2015 | Fortsch.Phys. 64 (2016) 385-388 | 10.1002/prop.201500084 | LMU-ASC 82/15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use exceptional field theory to establish a duality between certain
consistent 7-dimensional truncations with maximal SUSY from IIA to IIB. We use
this technique to obtain new consistent truncations of IIB on $S^3$ and
$H^{p,q}$ and also give a no-go theorem for the uplift of certain gaugings.
| [
{
"created": "Wed, 30 Dec 2015 19:00:12 GMT",
"version": "v1"
}
] | 2017-10-10 | [
[
"Malek",
"Emanuel",
""
]
] | We use exceptional field theory to establish a duality between certain consistent 7-dimensional truncations with maximal SUSY from IIA to IIB. We use this technique to obtain new consistent truncations of IIB on $S^3$ and $H^{p,q}$ and also give a no-go theorem for the uplift of certain gaugings. |
2103.16094 | Shota Fujiwara | Shota Fujiwara, Yosuke Imamura, and Tatsuya Mori | Flavor symmetries of six-dimensional ${\cal N}=(1,0)$ theories from
AdS/CFT correspondence | 18 pages, 1 figure; ver2: references added; ver3: references added,
version accepted for publication in JHEP | null | 10.1007/JHEP05(2021)221 | TIT/HEP-682 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We calculate the superconformal indices of a class of six-dimensional ${\cal
N}=(1,0)$ superconformal field theories realized on M5-branes at
$\mathbb{C}^2/\mathbb{Z}_k$ singularity by using the method developed in
previous works of the authors and collaborators. We use the AdS/CFT
correspondence, and finite $N$ corrections are included as the contribution of
M2-branes wrapped on two-cycles in $S^4/\mathbb{Z}_k$. We confirm that the
indices are consistent with the expected flavor symmetries.
| [
{
"created": "Tue, 30 Mar 2021 05:53:19 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Apr 2021 06:36:20 GMT",
"version": "v2"
},
{
"created": "Tue, 11 May 2021 07:36:58 GMT",
"version": "v3"
}
] | 2023-01-11 | [
[
"Fujiwara",
"Shota",
""
],
[
"Imamura",
"Yosuke",
""
],
[
"Mori",
"Tatsuya",
""
]
] | We calculate the superconformal indices of a class of six-dimensional ${\cal N}=(1,0)$ superconformal field theories realized on M5-branes at $\mathbb{C}^2/\mathbb{Z}_k$ singularity by using the method developed in previous works of the authors and collaborators. We use the AdS/CFT correspondence, and finite $N$ corrections are included as the contribution of M2-branes wrapped on two-cycles in $S^4/\mathbb{Z}_k$. We confirm that the indices are consistent with the expected flavor symmetries. |
hep-th/0011135 | Zoltan Bajnok | Z. Bajnok and D. Nogradi | Symplectic leaves of W-algebras from the reduced Kac-Moody point of view | Latex, 6 pages, Talk presented by Z. Bajnok at the Second
International Conference on Geometry, Integrability and Quantization, Varna,
2000 | null | null | null | hep-th | null | The symplectic leaves of W-algebras are the intersections of the symplectic
leaves of the Kac-Moody algebras and the hypersurface of the second class
constraints, which define the W-algebra. This viewpoint enables us to classify
the symplectic leaves and also to give a representative for each of them. The
case of the (W_{2}) (Virasoro) algebra is investigated in detail, where the
positivity of the energy functional is also analyzed.
| [
{
"created": "Wed, 15 Nov 2000 14:51:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bajnok",
"Z.",
""
],
[
"Nogradi",
"D.",
""
]
] | The symplectic leaves of W-algebras are the intersections of the symplectic leaves of the Kac-Moody algebras and the hypersurface of the second class constraints, which define the W-algebra. This viewpoint enables us to classify the symplectic leaves and also to give a representative for each of them. The case of the (W_{2}) (Virasoro) algebra is investigated in detail, where the positivity of the energy functional is also analyzed. |
1709.06766 | Jay Armas | Jay Armas and Javier Tarrio | On actions for (entangling) surfaces and DCFTs | v2: 71pp, 1fig, comments and references added, typos fixed, to be
published in JHEP | JHEP 1804 (2018) 100 | 10.1007/JHEP04(2018)100 | null | hep-th cond-mat.soft gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of surfaces and interfaces describe many physical systems,
including fluid membranes, entanglement entropy and the coupling of defects to
quantum field theories. Based on the formulation of submanifold calculus
developed by Carter, we introduce a new variational principle for (entangling)
surfaces. This principle captures all diffeomorphism constraints on
surface/interface actions and their associated spacetime stress tensor. The
different couplings to the geometric tensors appearing in the surface action
are interpreted in terms of response coefficients within elasticity theory. An
example of a surface action with edges at the two-derivative level is studied,
including both the parity-even and parity-odd sectors. Its conformally
invariant counterpart restricts the type of conformal anomalies that can appear
in two-dimensional submanifolds with boundaries. Analogously to hydrodynamics,
it is shown that classification methods can be used to constrain the stress
tensor of (entangling) surfaces at a given order in derivatives. This analysis
reveals a purely geometric parity-odd contribution to the Young modulus of a
thin elastic membrane. Extending this novel variational principle to BCFTs and
DCFTs in curved spacetimes allows to obtain the Ward identities for
diffeomorphism and Weyl transformations. In this context, we provide a formal
derivation of the contact terms in the stress tensor and of the displacement
operator for a broad class of actions.
| [
{
"created": "Wed, 20 Sep 2017 08:25:36 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Apr 2018 09:38:42 GMT",
"version": "v2"
}
] | 2018-05-16 | [
[
"Armas",
"Jay",
""
],
[
"Tarrio",
"Javier",
""
]
] | The dynamics of surfaces and interfaces describe many physical systems, including fluid membranes, entanglement entropy and the coupling of defects to quantum field theories. Based on the formulation of submanifold calculus developed by Carter, we introduce a new variational principle for (entangling) surfaces. This principle captures all diffeomorphism constraints on surface/interface actions and their associated spacetime stress tensor. The different couplings to the geometric tensors appearing in the surface action are interpreted in terms of response coefficients within elasticity theory. An example of a surface action with edges at the two-derivative level is studied, including both the parity-even and parity-odd sectors. Its conformally invariant counterpart restricts the type of conformal anomalies that can appear in two-dimensional submanifolds with boundaries. Analogously to hydrodynamics, it is shown that classification methods can be used to constrain the stress tensor of (entangling) surfaces at a given order in derivatives. This analysis reveals a purely geometric parity-odd contribution to the Young modulus of a thin elastic membrane. Extending this novel variational principle to BCFTs and DCFTs in curved spacetimes allows to obtain the Ward identities for diffeomorphism and Weyl transformations. In this context, we provide a formal derivation of the contact terms in the stress tensor and of the displacement operator for a broad class of actions. |
1912.13486 | Hee-Joong Chung | Hee-Joong Chung | Index for a Model of 3d-3d Correspondence for Plumbed 3-Manifolds | 21 pages, 3 figures, v2 minor revisions, published version | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the $S^2 \times_q S^1$ supersymmetric index of a 3d
$\mathcal{N}=2$ theory $T[M_3]$ when $M_3$ is a plumbed 3-manifold. We engineer
an effective description of $T[M_3]$ from the expression of the homological
block for plumbed 3-manifolds as a $D^2 \times_q S^1$ partition function of a
3d $\mathcal{N}=2$ theory $T[M_3]$ with a boundary condition. We check that the
supersymmetric index for such a $T[M_3]$ is invariant under the 3d Kirby moves.
| [
{
"created": "Tue, 31 Dec 2019 18:41:35 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 2021 11:58:50 GMT",
"version": "v2"
}
] | 2021-03-23 | [
[
"Chung",
"Hee-Joong",
""
]
] | We consider the $S^2 \times_q S^1$ supersymmetric index of a 3d $\mathcal{N}=2$ theory $T[M_3]$ when $M_3$ is a plumbed 3-manifold. We engineer an effective description of $T[M_3]$ from the expression of the homological block for plumbed 3-manifolds as a $D^2 \times_q S^1$ partition function of a 3d $\mathcal{N}=2$ theory $T[M_3]$ with a boundary condition. We check that the supersymmetric index for such a $T[M_3]$ is invariant under the 3d Kirby moves. |
2302.03698 | Julius Grimminger | Antoine Bourget, Simone Giacomelli and Julius F. Grimminger | FI-flows of 3d N=4 Theories | null | null | 10.1007/JHEP04(2023)015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the 3d $\mathcal{N}=4$ RG-flows triggered by Fayet-Iliopoulos
deformations in unitary quiver theories. These deformations can be implemented
by a new quiver algorithm which contains at its heart a problem at the
intersection of linear algebra and graph theory. When interpreted as magnetic
quivers for SQFTs in various dimensions, our results provide a systematic way
to explore RG-flows triggered by mass deformations and generalizations thereof.
This is illustrated by case studies of SQCD theories and low rank 4d
$\mathcal{N}=2$ SCFTs. A delightful by-product of our work is the discovery of
an interesting new 3d mirror pair.
| [
{
"created": "Tue, 7 Feb 2023 19:00:00 GMT",
"version": "v1"
}
] | 2023-04-19 | [
[
"Bourget",
"Antoine",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Grimminger",
"Julius F.",
""
]
] | We study the 3d $\mathcal{N}=4$ RG-flows triggered by Fayet-Iliopoulos deformations in unitary quiver theories. These deformations can be implemented by a new quiver algorithm which contains at its heart a problem at the intersection of linear algebra and graph theory. When interpreted as magnetic quivers for SQFTs in various dimensions, our results provide a systematic way to explore RG-flows triggered by mass deformations and generalizations thereof. This is illustrated by case studies of SQCD theories and low rank 4d $\mathcal{N}=2$ SCFTs. A delightful by-product of our work is the discovery of an interesting new 3d mirror pair. |
hep-th/9808071 | Manuel Perez-Victoria | M. Perez-Victoria | Constrained Differential Renormalization of Yang-Mills Theories | LaTex, 13 pages with 2 ps figures | Phys.Lett. B442 (1998) 315-325 | 10.1016/S0370-2693(98)01217-9 | UG-FT-89/98 | hep-th hep-ph | null | We renormalize QCD to one loop in coordinate space using constrained
differential renormalization, and show explicitly that the Slavnov-Taylor
identities are preserved by this method.
| [
{
"created": "Wed, 12 Aug 1998 19:45:24 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Perez-Victoria",
"M.",
""
]
] | We renormalize QCD to one loop in coordinate space using constrained differential renormalization, and show explicitly that the Slavnov-Taylor identities are preserved by this method. |
hep-th/0007187 | Ludmil Hadjiivanov | L.K. Hadjiivanov, Ya.S. Stanev and I.T. Todorov | Regular basis and R-matrices for the su(n)_k Knizhnik-Zamolodchikov
equation | 19 pages, LATEX, amsfonts, amssymb; v.3 with a few corrections | Lett.Math.Phys. 54 (2000) 137-155 | null | null | hep-th math-ph math.MP math.QA | null | Dynamical R-matrix relations are derived for the group-valued chiral vertex
operators in the SU(n) WZNW model from the KZ equation for a general four-point
function including two step operators. They fit the exchange relations for the
U_q(sl_n) covariant quantum matrix derived previously by solving the dynamical
Yang-Baxter equation. As a byproduct, we extend the regular basis introduced
earlier for SU(2) chiral fields to SU(n) step operators and display the
corresponding triangular matrix representation of the braid group.
| [
{
"created": "Mon, 24 Jul 2000 15:41:39 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 2000 07:17:28 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Apr 2001 10:05:10 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Hadjiivanov",
"L. K.",
""
],
[
"Stanev",
"Ya. S.",
""
],
[
"Todorov",
"I. T.",
""
]
] | Dynamical R-matrix relations are derived for the group-valued chiral vertex operators in the SU(n) WZNW model from the KZ equation for a general four-point function including two step operators. They fit the exchange relations for the U_q(sl_n) covariant quantum matrix derived previously by solving the dynamical Yang-Baxter equation. As a byproduct, we extend the regular basis introduced earlier for SU(2) chiral fields to SU(n) step operators and display the corresponding triangular matrix representation of the braid group. |
2407.19387 | Yiming Chen | Yiming Chen, Henry W. Lin, Stephen H. Shenker | BPS Chaos | 52 pages plus appendices, 23 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black holes are chaotic quantum systems that are expected to exhibit random
matrix statistics in their finite energy spectrum. Lin, Maldacena, Rozenberg
and Shan (LMRS) have proposed a related characterization of chaos for the
ground states of BPS black holes with finite area horizons. On a separate
front, the "fuzzball program" has uncovered large families of horizon-free
geometries that account for the entropy of holographic BPS systems, but only in
situations with sufficient supersymmetry to exclude finite area horizons. The
highly structured, non-random nature of these solutions seems in tension with
strong chaos. We verify this intuition by performing analytic and numerical
calculations of the LMRS diagnostic in the corresponding boundary quantum
system. In particular we examine the 1/2 and 1/4-BPS sectors of $\mathcal{N}=4$
SYM, and the two charge sector of the D1-D5 CFT. We find evidence that these
systems are only weakly chaotic, with a Thouless time determining the onset of
chaos that grows as a power of $N$. In contrast, finite horizon area BPS black
holes should be strongly chaotic, with a Thouless time of order one. In this
case, finite energy chaotic states become BPS as $N$ is decreased through the
recently discovered "fortuity" mechanism. Hence they can plausibly retain their
strongly chaotic character.
| [
{
"created": "Sun, 28 Jul 2024 04:08:11 GMT",
"version": "v1"
}
] | 2024-07-30 | [
[
"Chen",
"Yiming",
""
],
[
"Lin",
"Henry W.",
""
],
[
"Shenker",
"Stephen H.",
""
]
] | Black holes are chaotic quantum systems that are expected to exhibit random matrix statistics in their finite energy spectrum. Lin, Maldacena, Rozenberg and Shan (LMRS) have proposed a related characterization of chaos for the ground states of BPS black holes with finite area horizons. On a separate front, the "fuzzball program" has uncovered large families of horizon-free geometries that account for the entropy of holographic BPS systems, but only in situations with sufficient supersymmetry to exclude finite area horizons. The highly structured, non-random nature of these solutions seems in tension with strong chaos. We verify this intuition by performing analytic and numerical calculations of the LMRS diagnostic in the corresponding boundary quantum system. In particular we examine the 1/2 and 1/4-BPS sectors of $\mathcal{N}=4$ SYM, and the two charge sector of the D1-D5 CFT. We find evidence that these systems are only weakly chaotic, with a Thouless time determining the onset of chaos that grows as a power of $N$. In contrast, finite horizon area BPS black holes should be strongly chaotic, with a Thouless time of order one. In this case, finite energy chaotic states become BPS as $N$ is decreased through the recently discovered "fortuity" mechanism. Hence they can plausibly retain their strongly chaotic character. |
hep-th/9907024 | Hyung Won Lee | Y. S. Myung, H. W. Lee (Inje University) and Jin Young Kim (Kunsan
University) | Tachyon and fixed scalars of D5$_\pm$-D1$_\pm$ black hole in type 0B
string theory | 15 pages including embedded 2 eps figures, RevTeX3.0 | JHEP 9910 (1999) 014 | 10.1088/1126-6708/1999/10/014 | INJE-TP-99-4 | hep-th | null | In the type 0B string theory, we discuss the role of tachyon($T$) and fixed
scalars($\nu,\lambda$). The issue is to explain the difference between tachyon
and fixed scalars in the D$5_{\pm}$-D$1_{\pm}$ black hole background. For this
purpose, we perform the semiclassical calculation. Here one finds a mixing
between ($\nu, \lambda, T$) and the other fields. Using the decoupling
procedure, one finds the linearized equation for the tachyon. From the
potential analysis, it turns out that $\nu$ plays a role of test field well,
while the tachyon induces an instability of Minkowski space vacuum. But the
roles of $\nu$ and $T$ are the same in the near-horizon geometry. Finally we
discuss the stability problem.
| [
{
"created": "Tue, 6 Jul 1999 04:33:58 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Myung",
"Y. S.",
"",
"Inje University"
],
[
"Lee",
"H. W.",
"",
"Inje University"
],
[
"Kim",
"Jin Young",
"",
"Kunsan\n University"
]
] | In the type 0B string theory, we discuss the role of tachyon($T$) and fixed scalars($\nu,\lambda$). The issue is to explain the difference between tachyon and fixed scalars in the D$5_{\pm}$-D$1_{\pm}$ black hole background. For this purpose, we perform the semiclassical calculation. Here one finds a mixing between ($\nu, \lambda, T$) and the other fields. Using the decoupling procedure, one finds the linearized equation for the tachyon. From the potential analysis, it turns out that $\nu$ plays a role of test field well, while the tachyon induces an instability of Minkowski space vacuum. But the roles of $\nu$ and $T$ are the same in the near-horizon geometry. Finally we discuss the stability problem. |
hep-th/9401164 | Harm Jan Boonstra | H.J. Boonstra | BRST cohomology of the critical $W_4$ string | 29 pages, LaTeX, UG-1/94 | Class.Quant.Grav.11:1941-1960,1994 | 10.1088/0264-9381/11/8/003 | null | hep-th | null | We study the cohomology of the critical $W_4$ string using the $W_4$ BRST
charge in a special basis in which it contains three separately nilpotent BRST
charges. This allows us to obtain the physical operators in three steps. In the
first step we obtain the cohomology associated to a spin-four constraint only,
and it contains operators of the $c={4\over5}$ $W_3$ minimal model. In the next
step, where the spin-three constraint is added, these operators get dressed to
operators of the $c={7\over10}$ Virasoro minimal model. Finally, the Virasoro
constraint is added to obtain the cohomology of the critical $W_4$ string. We
describe the structure of the complete cohomology and compare with other
results.
| [
{
"created": "Mon, 31 Jan 1994 14:36:44 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Boonstra",
"H. J.",
""
]
] | We study the cohomology of the critical $W_4$ string using the $W_4$ BRST charge in a special basis in which it contains three separately nilpotent BRST charges. This allows us to obtain the physical operators in three steps. In the first step we obtain the cohomology associated to a spin-four constraint only, and it contains operators of the $c={4\over5}$ $W_3$ minimal model. In the next step, where the spin-three constraint is added, these operators get dressed to operators of the $c={7\over10}$ Virasoro minimal model. Finally, the Virasoro constraint is added to obtain the cohomology of the critical $W_4$ string. We describe the structure of the complete cohomology and compare with other results. |
hep-th/9507166 | Mohammad Reza Rahimi Tabar | M. R. Rahimi Tabar and S. Rouhani | The Alf'ven Effect and Conformal Field Theory | 7 pages,Latex, no figures. A section on candidate CFT's is added,
although logarithmic correlators do not appear in the minimal models but
models which have nearly equal conformal dimensions can mimic logarithmic
behaviour, provided the Reynold number is large enough, a relationship
between the reynolds number and conformal dimensions is derived | Nuovo Cim. B112 (1997) 1079-1084 | null | null | hep-th cond-mat | null | Noting that two-dimensional magnetohydrodynamics can be modeled by conformal
field theory, we argue that when the Alf'ven effect is also taken into account
one is naturally lead to consider conformal field theories, which have
logarithmic terms in their correlation functions. We discuss the implications
of such logarithmic terms in the context of magnetohydrodynamics, and derive a
relationship between conformal dimensions of the velocity stream function, the
magnetic flux function and the Reynolds number.
| [
{
"created": "Sat, 29 Jul 1995 23:07:19 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Jan 1996 15:57:17 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Tabar",
"M. R. Rahimi",
""
],
[
"Rouhani",
"S.",
""
]
] | Noting that two-dimensional magnetohydrodynamics can be modeled by conformal field theory, we argue that when the Alf'ven effect is also taken into account one is naturally lead to consider conformal field theories, which have logarithmic terms in their correlation functions. We discuss the implications of such logarithmic terms in the context of magnetohydrodynamics, and derive a relationship between conformal dimensions of the velocity stream function, the magnetic flux function and the Reynolds number. |
2303.06112 | Fei Teng | Aidan Herderschee, Radu Roiban and Fei Teng | The Sub-Leading Scattering Waveform from Amplitudes | 51 pages and 2 appendices; v2: improved discussion on tail
contribution, published version; v3: remove typos; v4: cut contribution to
the waveform is now properly included | JHEP 06 (2023) 004 | 10.1007/JHEP06(2023)004 | LCTP-23-04 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We compute the next-to-leading order term in the scattering waveform of
uncharged black holes in classical general relativity and of half-BPS black
holes in $\mathcal{N}=8$ supergravity. We propose criteria, generalizing
explicit calculations at next-to-leading order, for determining the terms in
amplitudes that contribute to local observables. For general relativity, we
construct the relevant classical integrand through generalized unitarity in two
distinct ways, (1) in a heavy-particle effective theory and (2) in general
relativity minimally-coupled to scalar fields. With a suitable prescription for
the matter propagator in the former, we find agreement between the two methods,
thus demonstrating the absence of interference of quantum and
classically-singular contributions. The classical $\mathcal{N}=8$ integrand for
massive scalar fields is constructed through dimensional reduction of the known
five-point one-loop integrand. Our calculation exhibits novel features compared
to conservative calculations and inclusive observables, such as the appearance
of master integrals with intersecting matter lines and the appearance of a
classical infrared divergence whose absence from classical observables requires
a suitable definition of the retarded time.
| [
{
"created": "Fri, 10 Mar 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jun 2023 01:50:17 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jul 2023 11:25:08 GMT",
"version": "v3"
},
{
"created": "Fri, 22 Dec 2023 17:04:34 GMT",
"version": "v4"
}
] | 2023-12-25 | [
[
"Herderschee",
"Aidan",
""
],
[
"Roiban",
"Radu",
""
],
[
"Teng",
"Fei",
""
]
] | We compute the next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-BPS black holes in $\mathcal{N}=8$ supergravity. We propose criteria, generalizing explicit calculations at next-to-leading order, for determining the terms in amplitudes that contribute to local observables. For general relativity, we construct the relevant classical integrand through generalized unitarity in two distinct ways, (1) in a heavy-particle effective theory and (2) in general relativity minimally-coupled to scalar fields. With a suitable prescription for the matter propagator in the former, we find agreement between the two methods, thus demonstrating the absence of interference of quantum and classically-singular contributions. The classical $\mathcal{N}=8$ integrand for massive scalar fields is constructed through dimensional reduction of the known five-point one-loop integrand. Our calculation exhibits novel features compared to conservative calculations and inclusive observables, such as the appearance of master integrals with intersecting matter lines and the appearance of a classical infrared divergence whose absence from classical observables requires a suitable definition of the retarded time. |
hep-th/9208081 | Norisuke Sakai | Norisuke Sakai | c = 1 Two Dimensional Quantum Gravity | A talk given at the International Symposium on Quantum Physics and
the Universe, Waseda University, August 19-22, 1992 (revised adding a
reference in ref.8 and two references in ref.9) 16pages, TIT/HEP--205 | null | 10.1016/0083-6656(93)90098-5 | null | hep-th | null | The continuum (Liouville) approach to the two-dimensional (2-D) quantum
gravity is reviewed with particular attention to the $c=1$ conformal matter
coupling, and new results on a related problem of dilaton gravity are reported.
After finding the physical states, we examine the procedure to compute
correlation functions. The physical states in the relative cohomology show up
as intermediate state poles of the correlation functions. The states in the
absolute cohomology but not in the relative cohomology arise as auxiliary
fields in string field theory. The Liouville approach is applied also to the
quantum treatment of the dilaton gravity. The physical states are obtained from
the BRST cohomology and correlation functions are computed in the dilaton
gravity.
| [
{
"created": "Tue, 1 Sep 1992 02:23:40 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 1992 11:51:50 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Sakai",
"Norisuke",
""
]
] | The continuum (Liouville) approach to the two-dimensional (2-D) quantum gravity is reviewed with particular attention to the $c=1$ conformal matter coupling, and new results on a related problem of dilaton gravity are reported. After finding the physical states, we examine the procedure to compute correlation functions. The physical states in the relative cohomology show up as intermediate state poles of the correlation functions. The states in the absolute cohomology but not in the relative cohomology arise as auxiliary fields in string field theory. The Liouville approach is applied also to the quantum treatment of the dilaton gravity. The physical states are obtained from the BRST cohomology and correlation functions are computed in the dilaton gravity. |
hep-th/0703066 | Clare Dunning | Patrick Dorey, Clare Dunning and Roberto Tateo | The ODE/IM Correspondence | 102 pages, 27 figures. v2: added references | J.Phys.A40:R205,2007 | 10.1088/1751-8113/40/32/R01 | null | hep-th | null | This article reviews a recently-discovered link between integrable quantum
field theories and certain ordinary differential equations in the complex
domain. Along the way, aspects of PT-symmetric quantum mechanics are discussed,
and some elementary features of the six-vertex model and the Bethe ansatz are
explained.
| [
{
"created": "Wed, 7 Mar 2007 19:57:23 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2007 13:15:07 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dorey",
"Patrick",
""
],
[
"Dunning",
"Clare",
""
],
[
"Tateo",
"Roberto",
""
]
] | This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects of PT-symmetric quantum mechanics are discussed, and some elementary features of the six-vertex model and the Bethe ansatz are explained. |
2212.04078 | Yoshitaka Okuyama | Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori | Comments on epsilon expansion of the O$(N)$ model with boundary | 27 pages, 1 figure; v2: published version | null | 10.1007/JHEP03(2023)051 | OU-HET-1162 | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The O$(N)$ vector model in the presence of a boundary has a non-trivial fixed
point in $(4-\epsilon)$ dimensions and exhibits critical behaviors described by
boundary conformal field theory. The spectrum of boundary operators is
investigated at the leading order in the $\epsilon$-expansion by diagrammatic
and axiomatic approaches. In the latter, we extend the framework of Rychkov and
Tan for the bulk theory to the case with a boundary and calculate the conformal
dimensions of boundary composite operators with attention to the analyticity of
correlation functions. In both approaches, we obtain consistent results.
| [
{
"created": "Thu, 8 Dec 2022 05:15:41 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 00:38:38 GMT",
"version": "v2"
}
] | 2023-03-29 | [
[
"Nishioka",
"Tatsuma",
""
],
[
"Okuyama",
"Yoshitaka",
""
],
[
"Shimamori",
"Soichiro",
""
]
] | The O$(N)$ vector model in the presence of a boundary has a non-trivial fixed point in $(4-\epsilon)$ dimensions and exhibits critical behaviors described by boundary conformal field theory. The spectrum of boundary operators is investigated at the leading order in the $\epsilon$-expansion by diagrammatic and axiomatic approaches. In the latter, we extend the framework of Rychkov and Tan for the bulk theory to the case with a boundary and calculate the conformal dimensions of boundary composite operators with attention to the analyticity of correlation functions. In both approaches, we obtain consistent results. |
hep-th/0303175 | Antonio Soares de Castro | Antonio S. de Castro | Bound states by a pseudoscalar Coulomb potential in 1+1 dimensions | 18 pages, 6 figures | Phys.Lett. A318 (2003) 40-47 | 10.1016/j.physleta.2003.09.029 | null | hep-th quant-ph | null | The Dirac equation is solved for a pseudoscalar Coulomb potential in a
two-dimensional world. An infinite sequence of bounded solutions are obtained.
These results are in sharp contrast with those ones obtained in 3+1 dimensions
where no bound-state solutions are found. Next the general two-dimensional
problem for pseudoscalar power-law potentials is addressed consenting us to
conclude that a nonsingular potential leads to bounded solutions. The behaviour
of the upper and lower components of the Dirac spinor for a confining linear
potential nonconserving- as well as conserving-parity, even if the potential is
unbounded from below, is discussed in some detail.
| [
{
"created": "Thu, 20 Mar 2003 19:04:31 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Sep 2003 18:51:55 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"de Castro",
"Antonio S.",
""
]
] | The Dirac equation is solved for a pseudoscalar Coulomb potential in a two-dimensional world. An infinite sequence of bounded solutions are obtained. These results are in sharp contrast with those ones obtained in 3+1 dimensions where no bound-state solutions are found. Next the general two-dimensional problem for pseudoscalar power-law potentials is addressed consenting us to conclude that a nonsingular potential leads to bounded solutions. The behaviour of the upper and lower components of the Dirac spinor for a confining linear potential nonconserving- as well as conserving-parity, even if the potential is unbounded from below, is discussed in some detail. |
1612.05640 | Craig Lawrie | Craig Lawrie, Sakura Schafer-Nameki, Timo Weigand | Chiral 2d Theories from N=4 SYM with Varying Coupling | 78 pages, 2 figures, v2: references added | null | 10.1007/JHEP04(2017)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 2d chiral theories arising from 4d N=4 Super-Yang Mills (SYM) with
varying coupling tau. The 2d theory is obtained by dimensional reduction of N=4
SYM on a complex curve with a partial topological twist that accounts for the
non-constant tau. The resulting 2d theories can preserve (0,n) with n = 2, 4,
6, 8 chiral supersymmetry, and have a natural realization in terms of strings
from wrapped D3-branes in F-theory. We determine the twisted dimensional
reduction, as well as the spectrum and anomaly polynomials of the resulting
strings in various dimensions. We complement this by considering the dual
M-theory configurations, which can either be realized in terms of M5-branes
wrapped on complex surfaces, or M2-branes on curves that result in 1d
supersymmetric quantum mechanics.
| [
{
"created": "Fri, 16 Dec 2016 21:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2017 10:49:22 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Nov 2017 10:17:06 GMT",
"version": "v3"
}
] | 2017-11-27 | [
[
"Lawrie",
"Craig",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Weigand",
"Timo",
""
]
] | We study 2d chiral theories arising from 4d N=4 Super-Yang Mills (SYM) with varying coupling tau. The 2d theory is obtained by dimensional reduction of N=4 SYM on a complex curve with a partial topological twist that accounts for the non-constant tau. The resulting 2d theories can preserve (0,n) with n = 2, 4, 6, 8 chiral supersymmetry, and have a natural realization in terms of strings from wrapped D3-branes in F-theory. We determine the twisted dimensional reduction, as well as the spectrum and anomaly polynomials of the resulting strings in various dimensions. We complement this by considering the dual M-theory configurations, which can either be realized in terms of M5-branes wrapped on complex surfaces, or M2-branes on curves that result in 1d supersymmetric quantum mechanics. |
hep-th/0207046 | Gerald V. Dunne | Gerald V. Dunne | Perturbative--nonperturbative connection in quantum mechanics and field
theory | 17 pp, 9 figures; Review talk at ArkadyFest Symposium, May 2002,
Minneapolis | null | 10.1142/9789812776310_0031 | null | hep-th | null | On the occasion of this ArkadyFest, celebrating Arkady Vainshtein's 60th
birthday, I review some selected aspects of the connection between perturbative
and nonperturbative physics, a subject to which Arkady has made many important
contributions. I first review this connection in quantum mechanics, which was
the subject of Arkady's very first paper. Then I discuss this issue in relation
to effective actions in field theory, which also touches on Arkady's work on
operator product expansions. Finally, I conclude with a discussion of a special
quantum mechanical system, a quasi-exactly solvable model with
energy-reflection duality, which exhibits an explicit duality between the
perturbative and nonperturbative sectors, without invoking supersymmetry.
| [
{
"created": "Fri, 5 Jul 2002 12:48:37 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Dunne",
"Gerald V.",
""
]
] | On the occasion of this ArkadyFest, celebrating Arkady Vainshtein's 60th birthday, I review some selected aspects of the connection between perturbative and nonperturbative physics, a subject to which Arkady has made many important contributions. I first review this connection in quantum mechanics, which was the subject of Arkady's very first paper. Then I discuss this issue in relation to effective actions in field theory, which also touches on Arkady's work on operator product expansions. Finally, I conclude with a discussion of a special quantum mechanical system, a quasi-exactly solvable model with energy-reflection duality, which exhibits an explicit duality between the perturbative and nonperturbative sectors, without invoking supersymmetry. |
1006.0979 | Gerard Verbiest | A. Ach\'ucarro and G.J. Verbiest | Higher order intercommutations in Cosmic String Collisions | 5 pages, 4 figures, Accepted for publication by PRL | Phys.Rev.Lett.105:021601,2010 | 10.1103/PhysRevLett.105.021601 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report the first observation of multiple intercommutation (more than two
successive reconnections) of cosmic strings at ultra-high collision speeds, and
the formation of ``kink trains'' with up to four closely spaced left- or
right-moving kinks. We performed a flat space numerical study of abelian Higgs
cosmic string intercommutation in the type-II regime $\beta > 1$ (where $\beta
= m^2_{scalar} / m^2_{gauge}$) up to $\beta = 64$, the highest value
investigated to date. Our results confirm earlier claims that the minimum
critical speed for double reconnection goes down with increasing $\beta$, from
$\sim 0.98 c$ at $\beta = 1$ to $\sim 0.86 c$ for $\beta = 64$. Furthermore, we
observe a qualitative change in the process leading to the second
intercommutation: if $\beta \geq 16$ it is mediated by a loop expanding from
the collision point whereas if $1 < \beta \leq 8 $ the previously reported
``loop'' is just an expanding blob of radiation which has no topological
features and is absorbed by the strings. The multiple reconnections are
observed in the loop-mediated, deep type-II regime $\beta \geq 16$. Triple
reconnections appear to be quite generic for collision parameters on the
boundary between single and double reconnection. For $\beta = 16$ we observe
quadruple events. They result in clustering of small scale structure in the
form of ``kink trains''. Our findings suggest that, due to the core
interactions, the small scale structure and stochastic gravitational wave
background of abelian Higgs strings in the strongly type-II regime may be quite
different from what would be expected from studies of Nambu-Goto strings or of
abelian Higgs strings in the $\beta \approx 1$ regime.
| [
{
"created": "Fri, 4 Jun 2010 20:04:17 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Achúcarro",
"A.",
""
],
[
"Verbiest",
"G. J.",
""
]
] | We report the first observation of multiple intercommutation (more than two successive reconnections) of cosmic strings at ultra-high collision speeds, and the formation of ``kink trains'' with up to four closely spaced left- or right-moving kinks. We performed a flat space numerical study of abelian Higgs cosmic string intercommutation in the type-II regime $\beta > 1$ (where $\beta = m^2_{scalar} / m^2_{gauge}$) up to $\beta = 64$, the highest value investigated to date. Our results confirm earlier claims that the minimum critical speed for double reconnection goes down with increasing $\beta$, from $\sim 0.98 c$ at $\beta = 1$ to $\sim 0.86 c$ for $\beta = 64$. Furthermore, we observe a qualitative change in the process leading to the second intercommutation: if $\beta \geq 16$ it is mediated by a loop expanding from the collision point whereas if $1 < \beta \leq 8 $ the previously reported ``loop'' is just an expanding blob of radiation which has no topological features and is absorbed by the strings. The multiple reconnections are observed in the loop-mediated, deep type-II regime $\beta \geq 16$. Triple reconnections appear to be quite generic for collision parameters on the boundary between single and double reconnection. For $\beta = 16$ we observe quadruple events. They result in clustering of small scale structure in the form of ``kink trains''. Our findings suggest that, due to the core interactions, the small scale structure and stochastic gravitational wave background of abelian Higgs strings in the strongly type-II regime may be quite different from what would be expected from studies of Nambu-Goto strings or of abelian Higgs strings in the $\beta \approx 1$ regime. |
0707.0420 | Mohammad Reza Setare | J. Sadeghi, M. R. Setare, B.Pourhassan | Entropy of Extremal Black Holes in Two Dimension | 6 pages, no figures | Acta Phys.Polon.B40:251-,2009 | null | null | hep-th | null | In this paper we apply the entropy function formalism to the two-dimensional
black hole which come from the compactification of the heterotic string theory
with the dilaton coupling function. We find the Bekenstein-Hawking entropy from
the value of the entropy function at its saddle point. Also we consider higher
derivative terms. After that we apply the entropy function formalism to the
Jackiw-Teitelboim (JT) model where we consider the effect of string-loop to
this model.
| [
{
"created": "Tue, 3 Jul 2007 14:08:44 GMT",
"version": "v1"
}
] | 2009-04-24 | [
[
"Sadeghi",
"J.",
""
],
[
"Setare",
"M. R.",
""
],
[
"Pourhassan",
"B.",
""
]
] | In this paper we apply the entropy function formalism to the two-dimensional black hole which come from the compactification of the heterotic string theory with the dilaton coupling function. We find the Bekenstein-Hawking entropy from the value of the entropy function at its saddle point. Also we consider higher derivative terms. After that we apply the entropy function formalism to the Jackiw-Teitelboim (JT) model where we consider the effect of string-loop to this model. |
1008.2958 | Jacob Bourjaily | Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Simon
Caron-Huot, and Jaroslav Trnka | The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM | 46 pages; v2: minor changes, references added | JHEP 1101:041,2011 | 10.1007/JHEP01(2011)041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an explicit recursive formula for the all L-loop integrand for
scattering amplitudes in N=4 SYM in the planar limit, manifesting the full
Yangian symmetry of the theory. This generalizes the BCFW recursion relation
for tree amplitudes to all loop orders, and extends the Grassmannian duality
for leading singularities to the full amplitude. It also provides a new
physical picture for the meaning of loops, associated with canonical operations
for removing particles in a Yangian-invariant way. Loop amplitudes arise from
the "entangled" removal of pairs of particles, and are naturally presented as
an integral over lines in momentum-twistor space. As expected from manifest
Yangian-invariance, the integrand is given as a sum over non-local terms,
rather than the familiar decomposition in terms of local scalar integrals with
rational coefficients. Knowing the integrands explicitly, it is straightforward
to express them in local forms if desired; this turns out to be done most
naturally using a novel basis of chiral, tensor integrals written in
momentum-twistor space, each of which has unit leading singularities. As simple
illustrative examples, we present a number of new multi-loop results written in
local form, including the 6- and 7-point 2-loop NMHV amplitudes. Very concise
expressions are presented for all 2-loop MHV amplitudes, as well as the 5-point
3-loop MHV amplitude. The structure of the loop integrand strongly suggests
that the integrals yielding the physical amplitudes are "simple", and
determined by IR-anomalies. We briefly comment on extending these ideas to more
general planar theories.
| [
{
"created": "Tue, 17 Aug 2010 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 20:33:56 GMT",
"version": "v2"
}
] | 2011-01-17 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Bourjaily",
"Jacob L.",
""
],
[
"Cachazo",
"Freddy",
""
],
[
"Caron-Huot",
"Simon",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | We give an explicit recursive formula for the all L-loop integrand for scattering amplitudes in N=4 SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This generalizes the BCFW recursion relation for tree amplitudes to all loop orders, and extends the Grassmannian duality for leading singularities to the full amplitude. It also provides a new physical picture for the meaning of loops, associated with canonical operations for removing particles in a Yangian-invariant way. Loop amplitudes arise from the "entangled" removal of pairs of particles, and are naturally presented as an integral over lines in momentum-twistor space. As expected from manifest Yangian-invariance, the integrand is given as a sum over non-local terms, rather than the familiar decomposition in terms of local scalar integrals with rational coefficients. Knowing the integrands explicitly, it is straightforward to express them in local forms if desired; this turns out to be done most naturally using a novel basis of chiral, tensor integrals written in momentum-twistor space, each of which has unit leading singularities. As simple illustrative examples, we present a number of new multi-loop results written in local form, including the 6- and 7-point 2-loop NMHV amplitudes. Very concise expressions are presented for all 2-loop MHV amplitudes, as well as the 5-point 3-loop MHV amplitude. The structure of the loop integrand strongly suggests that the integrals yielding the physical amplitudes are "simple", and determined by IR-anomalies. We briefly comment on extending these ideas to more general planar theories. |
1001.4544 | Christoph Adam | C. Adam, J. Sanchez-Guillen, A. Wereszczynski | A Skyrme-type proposal for baryonic matter | 11 pages, 2 figures, latex. v3: Extended and revised version, some
clarifications added. Some references and 2 figures added. v4: matches
published version | Phys.Lett.B691:105-110,2010 | 10.1016/j.physletb.2010.06.025 | null | hep-th math-ph math.MP nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Skyrme model is a low-energy effective field theory for QCD, where the
baryons emerge as soliton solutions. It is, however, not so easy within the
standard Skyrme model to reproduce the almost exact linear growth of the
nuclear masses with the baryon number (topological charge), due to the lack of
Bogomolny solutions in this model, which has also hindered analytical progress.
Here we identify a submodel within the Skyrme-type low energy effective action
which does have a Bogomolny bound and exact Bogomolny solutions, and therefore,
at least at the classical level, reproduces the nuclear masses by construction.
Due to its high symmetry, this model qualitatively reproduces the main features
of the liquid droplet model of nuclei. Finally, we discuss under which
circumstances the proposed sextic term, which is of an essentially geometric
and topological nature, can be expected to give a reasonable description of
properties of nuclei.
| [
{
"created": "Mon, 25 Jan 2010 21:29:13 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2010 17:55:34 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Mar 2010 18:05:14 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Jul 2010 19:28:43 GMT",
"version": "v4"
}
] | 2014-11-20 | [
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses with the baryon number (topological charge), due to the lack of Bogomolny solutions in this model, which has also hindered analytical progress. Here we identify a submodel within the Skyrme-type low energy effective action which does have a Bogomolny bound and exact Bogomolny solutions, and therefore, at least at the classical level, reproduces the nuclear masses by construction. Due to its high symmetry, this model qualitatively reproduces the main features of the liquid droplet model of nuclei. Finally, we discuss under which circumstances the proposed sextic term, which is of an essentially geometric and topological nature, can be expected to give a reasonable description of properties of nuclei. |
0710.2569 | Shoichi Ichinose | Shoichi Ichinose | Graphical Representation of SUSY and Application to QFT | Submitted for the SUSY07 proceedings, 4 pages, 34 eps-files | null | null | US-07-03 | hep-th | null | We present a graphical representation of the supersymmetry and the graphical
calculation. Calculation is demonstrated for 4D Wess-Zumino model and for Super
QED. The chiral operators are graphically expressed in an illuminating way. The
tedious part of SUSY calculation, due to manipulating chiral suffixes, reduces
considerably. The application is diverse.
| [
{
"created": "Sat, 13 Oct 2007 01:04:09 GMT",
"version": "v1"
}
] | 2007-10-16 | [
[
"Ichinose",
"Shoichi",
""
]
] | We present a graphical representation of the supersymmetry and the graphical calculation. Calculation is demonstrated for 4D Wess-Zumino model and for Super QED. The chiral operators are graphically expressed in an illuminating way. The tedious part of SUSY calculation, due to manipulating chiral suffixes, reduces considerably. The application is diverse. |
0708.0421 | Edison Luiz Gra\c{c}a | E. L. Graca | Contributions to the Study of Thermal States of the Bosonic String in
the TFD Formalism | 62 pages, dissertation in portuguese | null | null | null | hep-th | null | We determine the local entropy of the free energy of the quantized open
bosonic string in Minkowski spacetime with the most general boundary
conditions. We formulate a finite temperature theory of the thermal closed
string excitations in anti-de Sitter spacetime within the TFD approach. We
write down the thermal states and obtain the entropy and the free energy in the
first order expansion of the semiclassical quantization in the center of mass
reference frame.
| [
{
"created": "Thu, 2 Aug 2007 21:12:40 GMT",
"version": "v1"
}
] | 2007-08-06 | [
[
"Graca",
"E. L.",
""
]
] | We determine the local entropy of the free energy of the quantized open bosonic string in Minkowski spacetime with the most general boundary conditions. We formulate a finite temperature theory of the thermal closed string excitations in anti-de Sitter spacetime within the TFD approach. We write down the thermal states and obtain the entropy and the free energy in the first order expansion of the semiclassical quantization in the center of mass reference frame. |
2009.03367 | Ali Chamseddine | Ali H. Chamseddine, John Iliopoulos and Walter D. van Suijlekom | Spectral action in matrix form | 16 pages, 2 figures, changed equation numbering | Eur.Phys.J.C 80 (2020) 11, 1045 | 10.1140/epjc/s10052-020-08618-z | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantization of the noncommutative geometric spectral action has so far been
performed on the final component form of the action where all traces over the
Dirac matrices and symmetry algebra are carried out. In this work, in order to
preserve the noncommutative geometric structure of the formalism, we derive the
quantization rules for propagators and vertices in matrix form. We show that
the results in the case of a product of a four-dimensional Euclidean manifold
by a finite space, could be cast in the form of that of a Yang-Mills theory. We
illustrate the procedure for the toy electroweak model.
| [
{
"created": "Mon, 7 Sep 2020 18:41:51 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2020 15:08:33 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Iliopoulos",
"John",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] | Quantization of the noncommutative geometric spectral action has so far been performed on the final component form of the action where all traces over the Dirac matrices and symmetry algebra are carried out. In this work, in order to preserve the noncommutative geometric structure of the formalism, we derive the quantization rules for propagators and vertices in matrix form. We show that the results in the case of a product of a four-dimensional Euclidean manifold by a finite space, could be cast in the form of that of a Yang-Mills theory. We illustrate the procedure for the toy electroweak model. |
hep-th/0505068 | Nicolas Boulanger | Xavier Bekaert and Nicolas Boulanger | Gauge invariants and Killing tensors in higher-spin gauge theories | LaTeX, 24 pages, no figure. One reference added and one definition
corrected. Accepted for publication in NPB | Nucl.Phys. B722 (2005) 225-248 | 10.1016/j.nuclphysb.2005.06.009 | IHES/P/05/14 | hep-th | null | In free completely symmetric tensor gauge field theories on Minkowski
space-time, all gauge invariant functions and Killing tensor fields are
computed, both on-shell and off-shell. These problems are addressed in the
metric-like formalisms.
| [
{
"created": "Mon, 9 May 2005 12:24:10 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2005 18:17:09 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Jul 2005 12:54:37 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Bekaert",
"Xavier",
""
],
[
"Boulanger",
"Nicolas",
""
]
] | In free completely symmetric tensor gauge field theories on Minkowski space-time, all gauge invariant functions and Killing tensor fields are computed, both on-shell and off-shell. These problems are addressed in the metric-like formalisms. |
hep-th/0011099 | Dongsu Bak | Dongsu Bak, Kimyeong Lee and Jeong-Hyuck Park | Noncommutative Vortex Solitons | 22 pages, 1 figure, typos corrected, a comment on the soliton size is
added | Phys.Rev. D63 (2001) 125010 | 10.1103/PhysRevD.63.125010 | UOSTP-00107, KIAS-P00072 | hep-th | null | We consider the noncommutative Abelian-Higgs theory and investigate general
static vortex configurations including recently found exact multi-vortex
solutions. In particular, we prove that the self-dual BPS solutions cease to
exist once the noncommutativity scale exceeds a critical value. We then study
the fluctuation spectra about the static configuration and show that the exact
non BPS solutions are unstable below the critical value. We have identified the
tachyonic degrees as well as massless moduli degrees. We then discuss the
physical meaning of the moduli degrees and construct exact time-dependent
vortex configurations where each vortex moves independently. We finally give
the moduli description of the vortices and show that the matrix nature of
moduli coordinates naturally emerges.
| [
{
"created": "Mon, 13 Nov 2000 12:47:38 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Nov 2000 10:33:45 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bak",
"Dongsu",
""
],
[
"Lee",
"Kimyeong",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | We consider the noncommutative Abelian-Higgs theory and investigate general static vortex configurations including recently found exact multi-vortex solutions. In particular, we prove that the self-dual BPS solutions cease to exist once the noncommutativity scale exceeds a critical value. We then study the fluctuation spectra about the static configuration and show that the exact non BPS solutions are unstable below the critical value. We have identified the tachyonic degrees as well as massless moduli degrees. We then discuss the physical meaning of the moduli degrees and construct exact time-dependent vortex configurations where each vortex moves independently. We finally give the moduli description of the vortices and show that the matrix nature of moduli coordinates naturally emerges. |
hep-th/9204004 | null | Daniel Z. Freedman, Gianluca Grignani, Nuria Rius and Kenneth Johnson | Conformal Symmetry and Differential Regularization of the Three-Gluon
Vertex | 65 pages | Ann.Phys.218:75-120,1992 | 10.1016/0003-4916(92)90269-R | null | hep-th | null | The conformal symmetry of the QCD Lagrangian for massless quarks is broken
both by renormalization effects and the gauge fixing procedure. Renormalized
primitive divergent amplitudes have the property that their form away from the
overall coincident point singularity is fully determined by the bare
Lagrangian, and scale dependence is restricted to $\delta$-functions at the
singularity. If gauge fixing could be ignored, one would expect these
amplitudes to be conformal invariant for non-coincident points. We find that
the one-loop three-gluon vertex function $\Gamma_{\mu\nu\rho}(x,y,z)$ is
conformal invariant in this sense, if calculated in the background field
formalism using the Feynman gauge for internal gluons. It is not yet clear why
the expected breaking due to gauge fixing is absent. The conformal property
implies that the gluon, ghost and quark loop contributions to
$\Gamma_{\mu\nu\rho}$ are each purely numerical combinations of two universal
conformal tensors $D_{\mu\nu\rho}(x,y,z)$ and $C_{\mu\nu\rho}(x,y,z)$ whose
explicit form is given in the text. Only $D_{\mu\nu\rho}$ has an ultraviolet
divergence, although $C_{\mu\nu\rho}$ requires a careful definition to resolve
the expected ambiguity of a formally linearly divergent quantity.
Regularization is straightforward and leads to a renormalized vertex function
which satisfies the required Ward identity, and from which the beta-function is
easily obtained. Exact conformal invariance is broken in higher-loop orders,
but we outline a speculative scenario in which the perturbative structure of
the vertex function is determined from a conformal invariant primitive core by
interplay of the renormalization group equation and Ward identities.
| [
{
"created": "Thu, 2 Apr 1992 19:58:17 GMT",
"version": "v1"
}
] | 2009-10-08 | [
[
"Freedman",
"Daniel Z.",
""
],
[
"Grignani",
"Gianluca",
""
],
[
"Rius",
"Nuria",
""
],
[
"Johnson",
"Kenneth",
""
]
] | The conformal symmetry of the QCD Lagrangian for massless quarks is broken both by renormalization effects and the gauge fixing procedure. Renormalized primitive divergent amplitudes have the property that their form away from the overall coincident point singularity is fully determined by the bare Lagrangian, and scale dependence is restricted to $\delta$-functions at the singularity. If gauge fixing could be ignored, one would expect these amplitudes to be conformal invariant for non-coincident points. We find that the one-loop three-gluon vertex function $\Gamma_{\mu\nu\rho}(x,y,z)$ is conformal invariant in this sense, if calculated in the background field formalism using the Feynman gauge for internal gluons. It is not yet clear why the expected breaking due to gauge fixing is absent. The conformal property implies that the gluon, ghost and quark loop contributions to $\Gamma_{\mu\nu\rho}$ are each purely numerical combinations of two universal conformal tensors $D_{\mu\nu\rho}(x,y,z)$ and $C_{\mu\nu\rho}(x,y,z)$ whose explicit form is given in the text. Only $D_{\mu\nu\rho}$ has an ultraviolet divergence, although $C_{\mu\nu\rho}$ requires a careful definition to resolve the expected ambiguity of a formally linearly divergent quantity. Regularization is straightforward and leads to a renormalized vertex function which satisfies the required Ward identity, and from which the beta-function is easily obtained. Exact conformal invariance is broken in higher-loop orders, but we outline a speculative scenario in which the perturbative structure of the vertex function is determined from a conformal invariant primitive core by interplay of the renormalization group equation and Ward identities. |
1504.06905 | Yoji Koyama | Yugo Abe, Takeo Inami, Yoshiharu Kawamura, Yoji Koyama | Inflation from radion gauge-Higgs potential at Planck scale | 11 pages. 3 eps figures. v2: Comments added in section 4. Minor
corrections are made | null | 10.1093/ptep/ptv110 | NCTS-TH/1502 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study whether the inflation is realized based on the radion gauge-Higgs
potential obtained from the one-loop calculation in the 5-dimensional gravity
coupled to a $U(1)$ gauge theory. We show that the gauge-Higgs can give rise to
inflation in accord with the astrophysical data and the radion plays a role in
fixing the values of physical parameters. We clarify the reason why the radion
dominated inflation and the hybrid inflation cannot occur in our framework.
| [
{
"created": "Mon, 27 Apr 2015 01:40:19 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2015 05:10:32 GMT",
"version": "v2"
}
] | 2015-09-09 | [
[
"Abe",
"Yugo",
""
],
[
"Inami",
"Takeo",
""
],
[
"Kawamura",
"Yoshiharu",
""
],
[
"Koyama",
"Yoji",
""
]
] | We study whether the inflation is realized based on the radion gauge-Higgs potential obtained from the one-loop calculation in the 5-dimensional gravity coupled to a $U(1)$ gauge theory. We show that the gauge-Higgs can give rise to inflation in accord with the astrophysical data and the radion plays a role in fixing the values of physical parameters. We clarify the reason why the radion dominated inflation and the hybrid inflation cannot occur in our framework. |
1102.3478 | Erhard Scholz | Erhard Scholz | Weyl geometric gravity and "breaking" of electroweak symmetry | Corrected and shortened version, accepted by Annalen der Physik | null | 10.1002/andp.201100032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and
Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector
of elementary particle fields, taking into account their basic scaling freedom.
Already Cheng (1988) indicated that electroweak symmetry breaking, usually
attributed to the Higgs field with a boson expected at $0.1 - 0.3 \,TeV$, may
be due to a coupling between Weyl geometric gravity and electroweak
interactions. Weyl geometry seems to be well suited for treating questions of
elementary particle physics, which relate to scale invariance and its
"breaking". This setting suggests the existence of a scalar field boson at the
surprisingly low energy of $\sim 1\, eV$. That may appear unlikely; but, as a
payoff, the acquirement of mass arises as a result of coupling to gravity in
agreement with the understanding of mass as the gravitational charge of fields.
| [
{
"created": "Mon, 14 Feb 2011 10:23:11 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 14:30:36 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Scholz",
"Erhard",
""
]
] | A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom. Already Cheng (1988) indicated that electroweak symmetry breaking, usually attributed to the Higgs field with a boson expected at $0.1 - 0.3 \,TeV$, may be due to a coupling between Weyl geometric gravity and electroweak interactions. Weyl geometry seems to be well suited for treating questions of elementary particle physics, which relate to scale invariance and its "breaking". This setting suggests the existence of a scalar field boson at the surprisingly low energy of $\sim 1\, eV$. That may appear unlikely; but, as a payoff, the acquirement of mass arises as a result of coupling to gravity in agreement with the understanding of mass as the gravitational charge of fields. |
1106.2021 | Roberto Emparan | Roberto Emparan | Blackfolds | 35 pgs. Chapter of the book `Black Holes in Higher Dimensions' to be
published by Cambridge University Press (editor: G. Horowitz) | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is an introduction to the blackfold effective worldvolume theory for the
dynamics of black branes, as well as its use as an approximate method for the
construction of new black hole solutions. We also explain how the theory is
useful for the analysis of dynamical, non-stationary situations, in particular
of the Gregory-Laflamme instability of black branes.
| [
{
"created": "Fri, 10 Jun 2011 11:40:44 GMT",
"version": "v1"
}
] | 2011-06-13 | [
[
"Emparan",
"Roberto",
""
]
] | This is an introduction to the blackfold effective worldvolume theory for the dynamics of black branes, as well as its use as an approximate method for the construction of new black hole solutions. We also explain how the theory is useful for the analysis of dynamical, non-stationary situations, in particular of the Gregory-Laflamme instability of black branes. |
hep-th/0403125 | Vasiliy Neznamov P. | V. P. Neznamov | Anomalous magnetic moment and Lamb shift in the second order of the
perturbation theory with finite electron mass renormalization in quantum
electrodynamics | 17 pages, 1 figure | null | null | null | hep-th | null | The paper determines the anomalous magnetic moment and Lamb energy level
shift in the second order of the perturbation theory using the algorithm of
self-energy expression regularization in quantum electrodynamics that meets the
relativistic and gauge invariance requirements; the comparison is made to the
associated conventional quantum electrodynamics results. A limiting 4-impulse
with an infinitely large temporal component and limited value of spatial
components that depend quite weakly on the Dirac particle impulse variation is
introduced within the algorithm.
The answer in regard to the agreement between the experimental data and
results of the calculations by the algorithm of this paper will be given by the
calculations of the next order of the perturbation theory which are being
planned for the nearest future.
| [
{
"created": "Thu, 11 Mar 2004 13:00:52 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 2004 09:27:39 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Neznamov",
"V. P.",
""
]
] | The paper determines the anomalous magnetic moment and Lamb energy level shift in the second order of the perturbation theory using the algorithm of self-energy expression regularization in quantum electrodynamics that meets the relativistic and gauge invariance requirements; the comparison is made to the associated conventional quantum electrodynamics results. A limiting 4-impulse with an infinitely large temporal component and limited value of spatial components that depend quite weakly on the Dirac particle impulse variation is introduced within the algorithm. The answer in regard to the agreement between the experimental data and results of the calculations by the algorithm of this paper will be given by the calculations of the next order of the perturbation theory which are being planned for the nearest future. |
hep-th/9702131 | null | A. Feoli, G. Lambiase, G. Papini, G. Scarpetta | Classical Electrodynamics of a Particle with Maximal Acceleration
Corrections | LaTex, 10 pages, no figures, accepted for publication in Il Nuovo
Cimento B | Nuovo Cim. B112 (1997) 913-922 | null | null | hep-th | null | We calculate the first order maximal acceleration corrections to the
classical electrodynamics of a particle in external electromagnetic fields.
These include additional dissipation terms, the presence of a critical electric
field, a correction to the cyclotron frequency of an electron in a constant
magnetic field and the power radiated by the particle. The electric effects are
sizeble at the fields that are considered attainable with ultrashort $TW$ laser
pulses on plasmas.
| [
{
"created": "Mon, 17 Feb 1997 19:26:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Feoli",
"A.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Papini",
"G.",
""
],
[
"Scarpetta",
"G.",
""
]
] | We calculate the first order maximal acceleration corrections to the classical electrodynamics of a particle in external electromagnetic fields. These include additional dissipation terms, the presence of a critical electric field, a correction to the cyclotron frequency of an electron in a constant magnetic field and the power radiated by the particle. The electric effects are sizeble at the fields that are considered attainable with ultrashort $TW$ laser pulses on plasmas. |
hep-th/0404229 | Fernando Marchesano | D. Cremades, L.E. Ibanez and F. Marchesano | Computing Yukawa Couplings from Magnetized Extra Dimensions | 73 pages, 9 figures. Using JHEP3.cls. Typos and other minor
corrections fixed. References added | JHEP 0405:079,2004 | 10.1088/1126-6708/2004/05/079 | FTUAM-04/7 IFT-UAM/CSIC-04/15 MAD-TH-04-4 | hep-th hep-ph | null | We compute Yukawa couplings involving chiral matter fields in toroidal
compactifications of higher dimensional super-Yang-Mills theory with magnetic
fluxes. Specifically we focus on toroidal compactifications of D=10
super-Yang-Mills theory, which may be obtained as the low-energy limit of Type
I, Type II or Heterotic strings. Chirality is obtained by turning on constant
magnetic fluxes in each of the 2-tori. Our results are general and may as well
be applied to lower D=6,8 dimensional field theories. We solve Dirac and
Laplace equations to find out the explicit form of wavefunctions in extra
dimensions. The Yukawa couplings are computed as overlap integrals of two Weyl
fermions and one complex scalar over the compact dimensions. In the case of
Type IIB (or Type I) string theories, the models are T-dual to (orientifolded)
Type IIA with D6-branes intersecting at angles. These theories may have
phenomenological relevance since particular models with SM group and three
quark-lepton generations have been recently constructed. We find that the
Yukawa couplings so obtained are described by Riemann theta-functions, which
depend on the complex structure and Wilson line backgrounds. Different patterns
of Yukawa textures are possible depending on the values of these backgrounds.
We discuss the matching of these results with the analogous computation in
models with intersecting D6-branes. Whereas in the latter case a string
computation is required, in our case only field theory is needed.
| [
{
"created": "Wed, 28 Apr 2004 16:15:33 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2004 14:40:22 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Cremades",
"D.",
""
],
[
"Ibanez",
"L. E.",
""
],
[
"Marchesano",
"F.",
""
]
] | We compute Yukawa couplings involving chiral matter fields in toroidal compactifications of higher dimensional super-Yang-Mills theory with magnetic fluxes. Specifically we focus on toroidal compactifications of D=10 super-Yang-Mills theory, which may be obtained as the low-energy limit of Type I, Type II or Heterotic strings. Chirality is obtained by turning on constant magnetic fluxes in each of the 2-tori. Our results are general and may as well be applied to lower D=6,8 dimensional field theories. We solve Dirac and Laplace equations to find out the explicit form of wavefunctions in extra dimensions. The Yukawa couplings are computed as overlap integrals of two Weyl fermions and one complex scalar over the compact dimensions. In the case of Type IIB (or Type I) string theories, the models are T-dual to (orientifolded) Type IIA with D6-branes intersecting at angles. These theories may have phenomenological relevance since particular models with SM group and three quark-lepton generations have been recently constructed. We find that the Yukawa couplings so obtained are described by Riemann theta-functions, which depend on the complex structure and Wilson line backgrounds. Different patterns of Yukawa textures are possible depending on the values of these backgrounds. We discuss the matching of these results with the analogous computation in models with intersecting D6-branes. Whereas in the latter case a string computation is required, in our case only field theory is needed. |
hep-th/9704187 | null | Freydoon Mansouri | Exact Local Supersymmetry, Absence of Superpartners, and Noncommutative
Geometries | 16 pages, LaTex | null | null | uctp103.97 | hep-th | null | It is pointed out that if we allow for the possibility of a multilayered
universe, it is possible to maintain exact supersymmetry and arrange, in
principle, for the vanishing of the cosmological constant. Superpartner(s) of a
known particle will then be associated with the other layers of such a
universe. A concrete model realizing this scenario is exhibited in \2
dimensions, and it is suggested that it may be realizable in 3+1 dimensions.
The connection between this nonclassical geometry and noncommutative geometries
is discussed.
| [
{
"created": "Fri, 25 Apr 1997 21:41:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mansouri",
"Freydoon",
""
]
] | It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle will then be associated with the other layers of such a universe. A concrete model realizing this scenario is exhibited in \2 dimensions, and it is suggested that it may be realizable in 3+1 dimensions. The connection between this nonclassical geometry and noncommutative geometries is discussed. |
2206.10285 | Yin Tang | Yin Tang, Qicheng Tang, W. Zhu | Thermal Correction to Entanglement Spectrum for Conformal Field Theories | 22 pages, 4 figures | null | 10.1007/JHEP08(2022)239 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the thermal correction to the entanglement spectrum for
separating a single interval of two dimensional conformal field theories. Our
derivation is a direct extension of the thermal correction to the R\'enyi
entropy. Within a low-temperature expansion by including only the first excited
state in the thermal density matrix, we approach analytical results of the
thermal correction to the entanglement spectrum at both of the small and large
interval limit. We find the temperature correction reduces the large
eigenvalues in the entanglement spectrum while increases the small eigenvalues
in the entanglement spectrum, leading to an overall crossover changing pattern
of the entanglement spectrum. Crucially, at low-temperature limit, the thermal
corrections are dominated by the first excited state and depend on its scaling
dimension $\Delta$ and degeneracy $g$. This opens an avenue to extract
universal information of underlying conformal data via the thermal entanglement
spectrum. All of these analytical computation is supported from numerical
simulations using 1+1 dimensional free fermion. Finally, we extend our
calculation to resolve the thermal correction to the symmetry-resolved
entanglement spectrum.
| [
{
"created": "Tue, 21 Jun 2022 12:10:48 GMT",
"version": "v1"
}
] | 2022-09-07 | [
[
"Tang",
"Yin",
""
],
[
"Tang",
"Qicheng",
""
],
[
"Zhu",
"W.",
""
]
] | We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the R\'enyi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension $\Delta$ and degeneracy $g$. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum. |
hep-th/0407263 | Mirjam Cvetic | Klaus Behrndt and Mirjam Cvetic | General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory | 37 pages; changed the resulting gauge group on intersecting 6-branes,
corrected the explicit example (with conformal flat internal space) as well
as minor modifications and add a ref | Nucl.Phys.B708:45-71,2005 | 10.1016/j.nuclphysb.2004.12.004 | UPR-1070-T, AEI-2004-016 | hep-th | null | We study conditions on general fluxes of massive Type IIA supergravity that
lead to four-dimensional backgrounds with N = 1 supersymmetry. We derive these
conditions in the case of SU(3)- as well as SU(2)-structures. SU(3)-structures
imply that the internal space is constrained to be a nearly K\"ahler manifold
with all the turned on fluxes, and the negative cosmological constant
proportional to the mass parameter, and the dilaton fixed by the quantized
ratio of the three-form and four-form fluxes. We further discuss the
implications of such flux vacua with added intersecting D6-branes, leading to
the chiral non-Abelian gauge sectors (without orientifold projections).
Examples that break SU(3)-structures to SU(2)-ones allow for the internal space
conformally flat (up to orbifold and orientifold projections), for which we
give an explicit example. These results provide a starting point for further
study of the four-dimensional (chiral) N = 1 supersymmetric solutions of
massive Type IIA supergravity with D-branes and fluxes, compactified on
orientifolds.
| [
{
"created": "Thu, 29 Jul 2004 17:44:01 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Aug 2004 19:48:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Behrndt",
"Klaus",
""
],
[
"Cvetic",
"Mirjam",
""
]
] | We study conditions on general fluxes of massive Type IIA supergravity that lead to four-dimensional backgrounds with N = 1 supersymmetry. We derive these conditions in the case of SU(3)- as well as SU(2)-structures. SU(3)-structures imply that the internal space is constrained to be a nearly K\"ahler manifold with all the turned on fluxes, and the negative cosmological constant proportional to the mass parameter, and the dilaton fixed by the quantized ratio of the three-form and four-form fluxes. We further discuss the implications of such flux vacua with added intersecting D6-branes, leading to the chiral non-Abelian gauge sectors (without orientifold projections). Examples that break SU(3)-structures to SU(2)-ones allow for the internal space conformally flat (up to orbifold and orientifold projections), for which we give an explicit example. These results provide a starting point for further study of the four-dimensional (chiral) N = 1 supersymmetric solutions of massive Type IIA supergravity with D-branes and fluxes, compactified on orientifolds. |
hep-th/9805168 | Pierre van Baal | Thomas C. Kraan and Pierre van Baal | Periodic Instantons with non-trivial Holonomy | 30 pages, 6 figure (in 12 parts), latex | Nucl.Phys. B533 (1998) 627-659 | 10.1016/S0550-3213(98)00590-2 | INLO-PUB-5/98 | hep-th hep-lat hep-ph | null | We present the detailed derivation of the charge one periodic instantons - or
calorons - with non-trivial holonomy for SU(2). We use a suitable combination
of the Nahm transformation and ADHM techniques. Our results rely on our ability
to compute explicitly the relevant Green's function in terms of which the
solution can be conveniently expressed. We also discuss the properties of the
moduli space, R^3 X S^1 X Taub-NUT/Z_2 and its metric, relating the holonomy to
the Taub-NUT mass parameter. We comment on the monopole constituent description
of these calorons, how to retrieve topological charge in the context of abelian
projection and possible applications to QCD.
| [
{
"created": "Mon, 25 May 1998 18:48:27 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kraan",
"Thomas C.",
""
],
[
"van Baal",
"Pierre",
""
]
] | We present the detailed derivation of the charge one periodic instantons - or calorons - with non-trivial holonomy for SU(2). We use a suitable combination of the Nahm transformation and ADHM techniques. Our results rely on our ability to compute explicitly the relevant Green's function in terms of which the solution can be conveniently expressed. We also discuss the properties of the moduli space, R^3 X S^1 X Taub-NUT/Z_2 and its metric, relating the holonomy to the Taub-NUT mass parameter. We comment on the monopole constituent description of these calorons, how to retrieve topological charge in the context of abelian projection and possible applications to QCD. |
0704.3129 | Vincent Sacksteder IV | Vincent E. Sacksteder IV | Sums over geometries and improvements on the mean field approximation | Accepted for publication in Physical Review D, probably in November
2007. At the reviewer's request, material was added which made the article
more assertive, confident, and clear. No changes in substance | Phys.Rev.D76:105032,2007 | 10.1103/PhysRevD.76.105032 | null | hep-th cond-mat.dis-nn cond-mat.stat-mech | null | The saddle points of a Lagrangian due to Efetov are analyzed. This Lagrangian
was originally proposed as a tool for calculating systematic corrections to the
Bethe approximation, a mean-field approximation which is important in
statistical mechanics, glasses, coding theory, and combinatorial optimization.
Detailed analysis shows that the trivial saddle point generates a sum over
geometries reminiscent of dynamically triangulated quantum gravity, which
suggests new possibilities to design sums over geometries for the specific
purpose of obtaining improved mean field approximations to $D$-dimensional
theories. In the case of the Efetov theory, the dominant geometries are locally
tree-like, and the sum over geometries diverges in a way that is similar to
quantum gravity's divergence when all topologies are included. Expertise from
the field of dynamically triangulated quantum gravity about sums over
geometries may be able to remedy these defects and fulfill the Efetov theory's
original promise. The other saddle points of the Efetov Lagrangian are also
analyzed; the Hessian at these points is nonnormal and pseudo-Hermitian, which
is unusual for bosonic theories. The standard formula for Gaussian integrals is
generalized to nonnormal kernels.
| [
{
"created": "Tue, 24 Apr 2007 07:26:27 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Nov 2007 12:58:54 GMT",
"version": "v2"
}
] | 2012-12-13 | [
[
"Sacksteder",
"Vincent E.",
"IV"
]
] | The saddle points of a Lagrangian due to Efetov are analyzed. This Lagrangian was originally proposed as a tool for calculating systematic corrections to the Bethe approximation, a mean-field approximation which is important in statistical mechanics, glasses, coding theory, and combinatorial optimization. Detailed analysis shows that the trivial saddle point generates a sum over geometries reminiscent of dynamically triangulated quantum gravity, which suggests new possibilities to design sums over geometries for the specific purpose of obtaining improved mean field approximations to $D$-dimensional theories. In the case of the Efetov theory, the dominant geometries are locally tree-like, and the sum over geometries diverges in a way that is similar to quantum gravity's divergence when all topologies are included. Expertise from the field of dynamically triangulated quantum gravity about sums over geometries may be able to remedy these defects and fulfill the Efetov theory's original promise. The other saddle points of the Efetov Lagrangian are also analyzed; the Hessian at these points is nonnormal and pseudo-Hermitian, which is unusual for bosonic theories. The standard formula for Gaussian integrals is generalized to nonnormal kernels. |
hep-th/0008016 | Akikazu Hashimoto | Akikazu Hashimoto, Shinji Hirano, and N. Itzhaki | Large branes in AdS and their field theory dual | 20 pages, 6 figures, minor changes | JHEP 0008:051,2000 | 10.1088/1126-6708/2000/08/051 | NSF-ITP-00-063 | hep-th | null | Recently it was suggested that a graviton in $AdS_5 \times S^5$ with a large
momentum along the sphere can blow up into a spherical D-brane in $S^5$. In
this paper we show that the same graviton can also blow up into a spherical
D-brane in $AdS_5$ with exactly the same quantum numbers (angular momentum and
energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show
that there is a BPS {\it classical} solution for SYM on $S^3\times R$ with
exactly the same quantum numbers. The solution has non-vanishing Higgs
expectation values and hence is dual to the large brane in AdS.
| [
{
"created": "Tue, 1 Aug 2000 22:48:22 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2000 23:24:37 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Hashimoto",
"Akikazu",
""
],
[
"Hirano",
"Shinji",
""
],
[
"Itzhaki",
"N.",
""
]
] | Recently it was suggested that a graviton in $AdS_5 \times S^5$ with a large momentum along the sphere can blow up into a spherical D-brane in $S^5$. In this paper we show that the same graviton can also blow up into a spherical D-brane in $AdS_5$ with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS {\it classical} solution for SYM on $S^3\times R$ with exactly the same quantum numbers. The solution has non-vanishing Higgs expectation values and hence is dual to the large brane in AdS. |
hep-th/9909081 | Lorenzo Cornalba | L. Cornalba (I.H.E.S.) | D-brane Physics and Noncommutative Yang-Mills Theory | 10 pages | Adv.Theor.Math.Phys. 4 (2000) 271-281 | null | null | hep-th | null | We discuss the physics of a single Dp-brane in the presence of a background
electromagnetic field B_{ij}. It has recently been shown \cite{SW} that, in a
specific \alpha ' \to 0 limit, the physics of the brane is correctly described
by noncommutative Yang-Mills theory, where the noncommutative gauge potential
is given explicitly in terms of the ordinary U(1) field. In a previous paper
\cite{SC} the physics of a D2-brane was analyzed in the Sen-Seiberg limit of
M(atrix) theory by considering a specific coordinate change on the brane
world-volume. We show in this note that the limit considered in \cite{SC} is
the same as the one described in \cite{SW}, in the specific case p=2, rk B_{ij}
= 2. Moreover we show that the coordinate change in \cite{SC} can be
reinterpreted, in the spirit of \cite{SW}, as a field redefinition of the
ordinary Yang-Mills field, and we prove that the transformations agree for
large backgrounds. The results are finally used to considerably streamline the
proof of the equivalence of the standard Born-Infeld action with noncommutative
Yang-Mills theory, in the large wave-length regime.
| [
{
"created": "Mon, 13 Sep 1999 12:03:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cornalba",
"L.",
"",
"I.H.E.S."
]
] | We discuss the physics of a single Dp-brane in the presence of a background electromagnetic field B_{ij}. It has recently been shown \cite{SW} that, in a specific \alpha ' \to 0 limit, the physics of the brane is correctly described by noncommutative Yang-Mills theory, where the noncommutative gauge potential is given explicitly in terms of the ordinary U(1) field. In a previous paper \cite{SC} the physics of a D2-brane was analyzed in the Sen-Seiberg limit of M(atrix) theory by considering a specific coordinate change on the brane world-volume. We show in this note that the limit considered in \cite{SC} is the same as the one described in \cite{SW}, in the specific case p=2, rk B_{ij} = 2. Moreover we show that the coordinate change in \cite{SC} can be reinterpreted, in the spirit of \cite{SW}, as a field redefinition of the ordinary Yang-Mills field, and we prove that the transformations agree for large backgrounds. The results are finally used to considerably streamline the proof of the equivalence of the standard Born-Infeld action with noncommutative Yang-Mills theory, in the large wave-length regime. |
1204.3512 | Tigran Tchrakian | Eugen Radu, D. H. Tchrakian | Instantonic dyons of Yang-Mills--Chern-Simons models in d=2n+1
dimensions, n>2 | 15 pages, 4 figures | null | 10.1088/1751-8113/45/34/345401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate finite energy solutions of Yang-Mills--Chern-Simons systems in
odd spacetime dimensions, d=2n+1, with n>2. This can be carried out
systematically for all n, but the cases n=3,4 corresponding to a 7,8
dimensional spacetime are treated concretely. These are static and spherically
symmetric configurations, defined in a flat Minkowski background. The value of
the electric charge is fixed by the Chern-Simons coupling constant.
| [
{
"created": "Mon, 16 Apr 2012 15:07:57 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | We investigate finite energy solutions of Yang-Mills--Chern-Simons systems in odd spacetime dimensions, d=2n+1, with n>2. This can be carried out systematically for all n, but the cases n=3,4 corresponding to a 7,8 dimensional spacetime are treated concretely. These are static and spherically symmetric configurations, defined in a flat Minkowski background. The value of the electric charge is fixed by the Chern-Simons coupling constant. |
hep-th/0012232 | Jurg Kappeli | G. L. Cardoso, B. de Wit, J. K\"appeli, T. Mohaupt | Examples of stationary BPS solutions in N=2 supergravity theories with
R^2-interactions | 7 pages, LaTeX, contribution to the proceedings of the RTN-workshop
"The Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions", Berlin, October 2000 | Fortsch.Phys. 49 (2001) 557-563 | 10.1002/1521-3978(200105)49:4/6<557::AID-PROP557>3.0.CO;2-2 | HU-EP-00/56, ITP-UU-00/46, SPIN-2000/35, SU-ITP 00/34 | hep-th | null | We discuss explicit examples of BPS solutions in four-dimensional N=2
supergravity with R^2-interactions. We demonstrate how to construct solutions
by iteration. Generically, the presence of higher-curvature interactions leads
to non-static spacetime line elements. We comment on the existence of horizons
for multi-centered solutions.
| [
{
"created": "Sun, 24 Dec 2000 14:58:30 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Cardoso",
"G. L.",
""
],
[
"de Wit",
"B.",
""
],
[
"Käppeli",
"J.",
""
],
[
"Mohaupt",
"T.",
""
]
] | We discuss explicit examples of BPS solutions in four-dimensional N=2 supergravity with R^2-interactions. We demonstrate how to construct solutions by iteration. Generically, the presence of higher-curvature interactions leads to non-static spacetime line elements. We comment on the existence of horizons for multi-centered solutions. |
hep-th/0307002 | Liu Zhao | Wenli He and Liu Zhao | Classical O(N) nonlinear sigma model on the half line: a study on
consistent Hamiltonian description | revtex4, 7pp, bibtex | Phys.Lett. B570 (2003) 251-259 | 10.1016/j.physletb.2003.07.058 | null | hep-th | null | The problem of consistent Hamiltonian structure for O(N) nonlinear sigma
model in the presence of five different types of boundary conditions is
considered in detail. For the case of Neumann, Dirichlet and the mixture of
these two types of boundaries, the consistent Poisson brackets are constructed
explicitly, which may be used, e.g. for the construction of current algebras in
the presence of boundary. While for the mixed boundary conditions and the
mixture of mixed and Dirichlet boundary conditions, we prove that there is no
consistent Poisson brackets, showing that the mixed boundary conditions are
incompatible with all nontrivial subgroups of $O((N)$.
| [
{
"created": "Tue, 1 Jul 2003 01:19:05 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"He",
"Wenli",
""
],
[
"Zhao",
"Liu",
""
]
] | The problem of consistent Hamiltonian structure for O(N) nonlinear sigma model in the presence of five different types of boundary conditions is considered in detail. For the case of Neumann, Dirichlet and the mixture of these two types of boundaries, the consistent Poisson brackets are constructed explicitly, which may be used, e.g. for the construction of current algebras in the presence of boundary. While for the mixed boundary conditions and the mixture of mixed and Dirichlet boundary conditions, we prove that there is no consistent Poisson brackets, showing that the mixed boundary conditions are incompatible with all nontrivial subgroups of $O((N)$. |
hep-th/0407237 | Sergei Maydanyuk | Sergei P. Maydanyuk (Institute for Nuclear Research, National Academy
of Sciences of Ukraine) | SUSY-hierarchy of one-dimensional reflectionless potentials | 33 pages, 10 files of figures in EPS format, LaTeX v.2e, ElsArt style | Ann.Phys.316:440-465,2005 | 10.1016/j.aop.2004.11.004 | EXT-2004-099 | hep-th quant-ph | null | A class of one-dimensional reflectionless potentials, an absolute
transparency of which is concerned with their belonging to one SUSY-hierarchy
with a constant potential, is studied. An approach for determination of a
general form of the reflectionless potential on the basis of construction of
such a hierarchy by the recurrent method is proposed. A general form of
interdependence between superpotentials with neighboring numbers of this
hierarchy, opening a possibility to find new reflectionless potentials, have a
simple analytical view and are expressed through finite number of elementary
functions (unlike some reflectionless potentials, which are constructed on the
basis of soliton solutions or are shape invariant in one or many steps with
involving scaling of parameters, and are expressed through series), is
obtained. An analysis of absolute transparency existence for the potential
which has the inverse power dependence on space coordinate (and here tunneling
is possible), i.e. which has the form $V(x) = \pm \alpha / |x-x_{0}|^{n}$
(where $\alpha$ and $x_{0}$ are constants, $n$ is natural number), is
fulfilled. It is shown that such a potential can be reflectionless at n = 2
only. A SUSY-hierarchy of the inverse power reflectionless potentials is
constructed. Isospectral expansions of this hierarchy is analyzed.
| [
{
"created": "Tue, 27 Jul 2004 16:08:54 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2005 10:31:06 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Mar 2005 16:29:52 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Maydanyuk",
"Sergei P.",
"",
"Institute for Nuclear Research, National Academy\n of Sciences of Ukraine"
]
] | A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the reflectionless potential on the basis of construction of such a hierarchy by the recurrent method is proposed. A general form of interdependence between superpotentials with neighboring numbers of this hierarchy, opening a possibility to find new reflectionless potentials, have a simple analytical view and are expressed through finite number of elementary functions (unlike some reflectionless potentials, which are constructed on the basis of soliton solutions or are shape invariant in one or many steps with involving scaling of parameters, and are expressed through series), is obtained. An analysis of absolute transparency existence for the potential which has the inverse power dependence on space coordinate (and here tunneling is possible), i.e. which has the form $V(x) = \pm \alpha / |x-x_{0}|^{n}$ (where $\alpha$ and $x_{0}$ are constants, $n$ is natural number), is fulfilled. It is shown that such a potential can be reflectionless at n = 2 only. A SUSY-hierarchy of the inverse power reflectionless potentials is constructed. Isospectral expansions of this hierarchy is analyzed. |
2003.01843 | Shlomo S. Razamat | Shlomo S. Razamat and Gabi Zafrir | ${\cal N}=1$ conformal duals of gauged $E_n$ MN models | 23 pages, two figures | null | 10.1007/JHEP06(2020)176 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest three new ${\cal N}=1$ conformal dual pairs. First, we argue that
the ${\cal N}=2$ $E_6$ Minahan-Nemeschansky (MN) theory with a $USp(4)$
subgroup of the $E_6$ global symmetry conformally gauged with an ${\cal N}=1$
vector multiplet and certain additional chiral multiplet matter resides at some
cusp of the conformal manifold of an $SU(2)^5$ quiver gauge theory. Second, we
argue that the ${\cal N}=2$ $E_7$ MN theory with an $SU(2)$ subgroup of the
$E_7$ global symmetry conformally gauged with an ${\cal N}=1$ vector multiplet
and certain additional chiral multiplet matter resides at some cusp of the
conformal manifold of a conformal ${\cal N}=1$ $USp(4)$ gauge theory. Finally,
we claim that the ${\cal N}=2$ $E_8$ MN theory with a $USp(4)$ subgroup of the
$E_8$ global symmetry conformally gauged with an ${\cal N}=1$ vector multiplet
and certain additional chiral multiplet matter resides at some cusp of the
conformal manifold of an ${\cal N}=1$ $Spin(7)$ conformal gauge theory. We
argue for the dualities using a variety of non-perturbative techniques
including anomaly and index computations. The dualities can be viewed as ${\cal
N}=1$ analogues of ${\cal N}=2$ Argyres-Seiberg/Argyres-Wittig duals of the
$E_n$ MN models. We also briefly comment on an ${\cal N}=1$ version of the
Schur limit of the superconformal index.
| [
{
"created": "Wed, 4 Mar 2020 00:56:28 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Razamat",
"Shlomo S.",
""
],
[
"Zafrir",
"Gabi",
""
]
] | We suggest three new ${\cal N}=1$ conformal dual pairs. First, we argue that the ${\cal N}=2$ $E_6$ Minahan-Nemeschansky (MN) theory with a $USp(4)$ subgroup of the $E_6$ global symmetry conformally gauged with an ${\cal N}=1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an $SU(2)^5$ quiver gauge theory. Second, we argue that the ${\cal N}=2$ $E_7$ MN theory with an $SU(2)$ subgroup of the $E_7$ global symmetry conformally gauged with an ${\cal N}=1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of a conformal ${\cal N}=1$ $USp(4)$ gauge theory. Finally, we claim that the ${\cal N}=2$ $E_8$ MN theory with a $USp(4)$ subgroup of the $E_8$ global symmetry conformally gauged with an ${\cal N}=1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an ${\cal N}=1$ $Spin(7)$ conformal gauge theory. We argue for the dualities using a variety of non-perturbative techniques including anomaly and index computations. The dualities can be viewed as ${\cal N}=1$ analogues of ${\cal N}=2$ Argyres-Seiberg/Argyres-Wittig duals of the $E_n$ MN models. We also briefly comment on an ${\cal N}=1$ version of the Schur limit of the superconformal index. |
2308.05009 | Yoshinori Matsuo | Yoshinori Matsuo | Quantum focusing conjecture and the Page curve | 41 pages, 4 figures; v2: 42 pages, typos corrected, references added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The focusing theorem fails for evaporating black holes because the null
energy condition is violated by quantum effects. The quantum focusing
conjecture is proposed so that it is satisfied even if the null energy
condition is violated. The conjecture states that the derivative of the sum of
the area of a cross-section of the null geodesic congruence and the
entanglement entropy of matters outside it is non-increasing. Naively, it is
expected that the quantum focusing conjecture is violated after the Page time
as both the area of the horizon and the entanglement entropy of the Hawking
radiation are decreasing. We calculate the entanglement entropy after the Page
time by using the island rule, and find the following results: (i) the page
time is given by an approximately null surface, (ii) the entanglement entropy
is increasing along the outgoing null geodesic even after the Page time, and
(iii) the quantum focusing conjecture is not violated.
| [
{
"created": "Wed, 9 Aug 2023 15:09:47 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2023 15:13:49 GMT",
"version": "v2"
}
] | 2023-10-13 | [
[
"Matsuo",
"Yoshinori",
""
]
] | The focusing theorem fails for evaporating black holes because the null energy condition is violated by quantum effects. The quantum focusing conjecture is proposed so that it is satisfied even if the null energy condition is violated. The conjecture states that the derivative of the sum of the area of a cross-section of the null geodesic congruence and the entanglement entropy of matters outside it is non-increasing. Naively, it is expected that the quantum focusing conjecture is violated after the Page time as both the area of the horizon and the entanglement entropy of the Hawking radiation are decreasing. We calculate the entanglement entropy after the Page time by using the island rule, and find the following results: (i) the page time is given by an approximately null surface, (ii) the entanglement entropy is increasing along the outgoing null geodesic even after the Page time, and (iii) the quantum focusing conjecture is not violated. |
hep-th/9612177 | Jouko Mickelsson | Edwin Langmann and Jouko Mickelsson | Vacuum Polarization Renormalization and the Geometric Phase | 5 pages in AMSTEX format. This is a talk given by Jouko Mickelsson at
"XXI. Colloquium on Group Theoretical Methods in Physics" in Goslar, July
1996 | null | null | null | hep-th | null | As an application of the renormalization method introduced by the second
author we give a causal definition of the phase of the quantum scattering
matrix for fermions in external Yang-Mills potentials. The phase is defined
using parallel transport along the path of renormalized time evolution
operators. The time evolution operators are elements of the restricted unitary
group $U_{res}$ of Pressley and Segal. The central extension of $U_{res}$ plays
a central role.
| [
{
"created": "Tue, 17 Dec 1996 12:29:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Langmann",
"Edwin",
""
],
[
"Mickelsson",
"Jouko",
""
]
] | As an application of the renormalization method introduced by the second author we give a causal definition of the phase of the quantum scattering matrix for fermions in external Yang-Mills potentials. The phase is defined using parallel transport along the path of renormalized time evolution operators. The time evolution operators are elements of the restricted unitary group $U_{res}$ of Pressley and Segal. The central extension of $U_{res}$ plays a central role. |
1804.02179 | Matteo Beccaria | Matteo Beccaria, Arkady A. Tseytlin | On non-supersymmetric generalizations of the Wilson-Maldacena loops in
N=4 SYM | 32 pages, 4 figures. v2: typos fixed | null | 10.1016/j.nuclphysb.2018.07.019 | Imperial-TP-AT-2018-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Building on our previous work arXiv:1712.06874 we consider one-parameter
Polchinski-Sully generalization of the Wilson-Maldacena (WM) loops in planar
N=4 SYM theory. This breaks local supersymmetry of WM loop and leads to running
of the deformation parameter $\zeta$. We compute the three-loop ladder diagram
contribution to the expectation value of the circular loop which gives the full
answer for large $\zeta$. The limit $\zeta\gg 1$, $\lambda \zeta^2=$ fixed in
which the expectation value is determined by the Gaussian adjoint scalar path
integral might be exactly solvable despite the lack of global supersymmetry. We
study similar generalization of the 1/4-BPS "latitude" WM loop which depends on
two parameters (in addition to the 't Hooft coupling $\lambda$). One may also
introduce another supersymmetry-breaking parameter -- the winding number of the
scalar coupling circle. We find the two-loop expression for the expectation
value of the associated loop by combining the ladder diagram contribution with
an indirect determination of the non-ladder contribution using 1d defect CFT
perturbation theory.
| [
{
"created": "Fri, 6 Apr 2018 09:41:32 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2021 07:00:27 GMT",
"version": "v2"
}
] | 2021-10-11 | [
[
"Beccaria",
"Matteo",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] | Building on our previous work arXiv:1712.06874 we consider one-parameter Polchinski-Sully generalization of the Wilson-Maldacena (WM) loops in planar N=4 SYM theory. This breaks local supersymmetry of WM loop and leads to running of the deformation parameter $\zeta$. We compute the three-loop ladder diagram contribution to the expectation value of the circular loop which gives the full answer for large $\zeta$. The limit $\zeta\gg 1$, $\lambda \zeta^2=$ fixed in which the expectation value is determined by the Gaussian adjoint scalar path integral might be exactly solvable despite the lack of global supersymmetry. We study similar generalization of the 1/4-BPS "latitude" WM loop which depends on two parameters (in addition to the 't Hooft coupling $\lambda$). One may also introduce another supersymmetry-breaking parameter -- the winding number of the scalar coupling circle. We find the two-loop expression for the expectation value of the associated loop by combining the ladder diagram contribution with an indirect determination of the non-ladder contribution using 1d defect CFT perturbation theory. |
hep-th/9309045 | null | D.Z. Freedman, P.E. Haagensen, K. Johnson and J.I. Latorre | The Hidden Spatial Geometry of Non-Abelian Gauge Theories | 19 pages, TeX, CTP #2238 | null | null | null | hep-th hep-ph | null | The Gauss law constraint in the Hamiltonian form of the $SU(2)$ gauge theory
of gluons is satisfied by any functional of the gauge invariant tensor variable
$\phi^{ij} = B^{ia} B^{ja}$. Arguments are given that the tensor $G_{ij} =
(\phi^{-1})_{ij}\,\det B$ is a more appropriate variable. When the Hamiltonian
is expressed in terms of $\phi$ or $G$, the quantity $\Gamma^i_{jk}$ appears.
The gauge field Bianchi and Ricci identities yield a set of partial
differential equations for $\Gamma$ in terms of $G$. One can show that $\Gamma$
is a metric-compatible connection for $G$ with torsion, and that the curvature
tensor of $\Gamma$ is that of an Einstein space. A curious 3-dimensional
spatial geometry thus underlies the gauge-invariant configuration space of the
theory, although the Hamiltonian is not invariant under spatial coordinate
transformations. Spatial derivative terms in the energy density are singular
when $\det G=\det B=0$. These singularities are the analogue of the centrifugal
barrier of quantum mechanics, and physical wave-functionals are forced to
vanish in a certain manner near $\det B=0$. It is argued that such barriers are
an inevitable result of the projection on the gauge-invariant subspace of the
Hilbert space, and that the barriers are a conspicuous way in which non-abelian
gauge theories differ from scalar field theories.
| [
{
"created": "Wed, 8 Sep 1993 19:43:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Freedman",
"D. Z.",
""
],
[
"Haagensen",
"P. E.",
""
],
[
"Johnson",
"K.",
""
],
[
"Latorre",
"J. I.",
""
]
] | The Gauss law constraint in the Hamiltonian form of the $SU(2)$ gauge theory of gluons is satisfied by any functional of the gauge invariant tensor variable $\phi^{ij} = B^{ia} B^{ja}$. Arguments are given that the tensor $G_{ij} = (\phi^{-1})_{ij}\,\det B$ is a more appropriate variable. When the Hamiltonian is expressed in terms of $\phi$ or $G$, the quantity $\Gamma^i_{jk}$ appears. The gauge field Bianchi and Ricci identities yield a set of partial differential equations for $\Gamma$ in terms of $G$. One can show that $\Gamma$ is a metric-compatible connection for $G$ with torsion, and that the curvature tensor of $\Gamma$ is that of an Einstein space. A curious 3-dimensional spatial geometry thus underlies the gauge-invariant configuration space of the theory, although the Hamiltonian is not invariant under spatial coordinate transformations. Spatial derivative terms in the energy density are singular when $\det G=\det B=0$. These singularities are the analogue of the centrifugal barrier of quantum mechanics, and physical wave-functionals are forced to vanish in a certain manner near $\det B=0$. It is argued that such barriers are an inevitable result of the projection on the gauge-invariant subspace of the Hilbert space, and that the barriers are a conspicuous way in which non-abelian gauge theories differ from scalar field theories. |
hep-th/0104059 | Ken-Ichi Tezuka | Ken-Ichi Tezuka (Chiba Univ.) | Relations between Non-Commutative and Commutative Spacetime | The review article is a part of the master thesis submitted to Chiba
University, 58 pages, some comments and references are added | null | null | CHIBA-EP-126 | hep-th | null | Spacetime non-commutativity appears in string theory. In this paper, the
non-commutativity in string theory is reviewed. At first we review that a
Dp-brane is equivalent to a configuration of infinitely many D($p-2$)-branes.
If we consider the worldvolume as that of the Dp-brane, coordinates of the
Dp-brane is commutative. On the other hand if we deal with the worldvolume as
that of the D($p-2$)-branes, since coordinates of many D-branes are promoted to
matrices the worldvolume theory is non-commutative one. Next we see that using
a point splitting reguralization gives a non-commutative D-brane, and a
non-commutative gauge field can be rewritten in terms of an ordinary gauge
field. The transformation is called the Seiberg-Witten map. And we introduce
second class constraints as boundary conditions of an open string. Since
Neumann and Dirichlet boundary conditions are mixed in the constraints when the
open string is coupled to a NS B field, the end points of the open string is
non-commutative.
| [
{
"created": "Fri, 6 Apr 2001 06:55:50 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Apr 2001 02:46:21 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Jul 2001 05:48:40 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Tezuka",
"Ken-Ichi",
"",
"Chiba Univ."
]
] | Spacetime non-commutativity appears in string theory. In this paper, the non-commutativity in string theory is reviewed. At first we review that a Dp-brane is equivalent to a configuration of infinitely many D($p-2$)-branes. If we consider the worldvolume as that of the Dp-brane, coordinates of the Dp-brane is commutative. On the other hand if we deal with the worldvolume as that of the D($p-2$)-branes, since coordinates of many D-branes are promoted to matrices the worldvolume theory is non-commutative one. Next we see that using a point splitting reguralization gives a non-commutative D-brane, and a non-commutative gauge field can be rewritten in terms of an ordinary gauge field. The transformation is called the Seiberg-Witten map. And we introduce second class constraints as boundary conditions of an open string. Since Neumann and Dirichlet boundary conditions are mixed in the constraints when the open string is coupled to a NS B field, the end points of the open string is non-commutative. |
1106.4873 | Piotr Sulkowski | Piotr Su{\l}kowski | BPS states, crystals and matrices | 67 pages, 20 figures; references added | Advances in High Energy Physics (2011) 357016 | 10.1155/2011/357016 | CALT-68-2835 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review free fermion, melting crystal and matrix model representations of
wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both
unrefined and refined BPS counting of closed BPS states involving D2 and
D0-branes bound to a D6-brane, as well as open BPS states involving open
D2-branes ending on an additional D4-brane. Appropriate limit of these
constructions provides, among the others, matrix model representation of
refined and unrefined topological string amplitudes.
| [
{
"created": "Fri, 24 Jun 2011 01:03:30 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2012 19:19:02 GMT",
"version": "v2"
}
] | 2012-07-13 | [
[
"Sułkowski",
"Piotr",
""
]
] | We review free fermion, melting crystal and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2 and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional D4-brane. Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes. |
1709.09787 | Alex May | Alex May | Thesis: Tensor networks for dynamic spacetimes | Msc thesis, 69 pages, journal version found at arXiv:1611.06220 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tensor networks give simple representations of complex quantum states. They
have proven useful in the study of condensed matter systems and conformal
fields, and recently have provided toy models of AdS/CFT. Underlying the tensor
network - AdS/CFT connection is the association of a graph geometry with the
tensor network. In the context of the AdS/CFT correspondence tensor network
models have so far been limited to describing static spacetimes. In this thesis
we look to extend tensor network models of AdS/CFT by describing the geometry
of a dynamic spacetime using a tensor network. We provide a review of tensor
networks in the context of AdS/CFT to motivate this extension, before proposing
modifications of holographic tensor network models that capture features of
AdS/CFT with dynamic spacetimes.
This thesis includes the results of arXiv submission 1611.06220, along with a
review of the relevant literature.
| [
{
"created": "Thu, 28 Sep 2017 02:50:18 GMT",
"version": "v1"
}
] | 2017-09-29 | [
[
"May",
"Alex",
""
]
] | Tensor networks give simple representations of complex quantum states. They have proven useful in the study of condensed matter systems and conformal fields, and recently have provided toy models of AdS/CFT. Underlying the tensor network - AdS/CFT connection is the association of a graph geometry with the tensor network. In the context of the AdS/CFT correspondence tensor network models have so far been limited to describing static spacetimes. In this thesis we look to extend tensor network models of AdS/CFT by describing the geometry of a dynamic spacetime using a tensor network. We provide a review of tensor networks in the context of AdS/CFT to motivate this extension, before proposing modifications of holographic tensor network models that capture features of AdS/CFT with dynamic spacetimes. This thesis includes the results of arXiv submission 1611.06220, along with a review of the relevant literature. |
hep-th/9401036 | null | Mihai Visinescu | The Geodesic Motion in Taub-Nut Spinning Space | LATEX, 14 pages, IFA-FT-392-1993 | Class.Quant.Grav.11:1867-1880,1994 | 10.1088/0264-9381/11/7/021 | null | hep-th gr-qc | null | The geodesic motion of pseudo-classical spinning particles in the Euclidean
Taub-NUT space is analysed. The generalized Killing equations for spinning
space are investigated and the constants of motion are derived in terms of the
solutions of these equations. A simple exact solution, corresponding to
trajectories lying on a cone, is given.
| [
{
"created": "Mon, 10 Jan 1994 11:38:00 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Visinescu",
"Mihai",
""
]
] | The geodesic motion of pseudo-classical spinning particles in the Euclidean Taub-NUT space is analysed. The generalized Killing equations for spinning space are investigated and the constants of motion are derived in terms of the solutions of these equations. A simple exact solution, corresponding to trajectories lying on a cone, is given. |
1011.1270 | Veronika E. Hubeny | Veronika E. Hubeny | Relativistic Beaming in AdS/CFT | 5 pages, 2 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a mechanism of 'beaming' the backreaction of a relativistic source
in the bulk of AdS towards the boundary. Using this beaming mechanism to
estimate the energy distribution from radiation by a circling quark in strongly
coupled field theory, we find remarkable agreement with the previous results of
arXiv:1001.3880. Apart from explaining a puzzling feature of these results and
elucidating the scale/radius duality in AdS/CFT, our proposal provides a useful
computational technique.
| [
{
"created": "Thu, 4 Nov 2010 21:15:40 GMT",
"version": "v1"
}
] | 2010-11-08 | [
[
"Hubeny",
"Veronika E.",
""
]
] | We propose a mechanism of 'beaming' the backreaction of a relativistic source in the bulk of AdS towards the boundary. Using this beaming mechanism to estimate the energy distribution from radiation by a circling quark in strongly coupled field theory, we find remarkable agreement with the previous results of arXiv:1001.3880. Apart from explaining a puzzling feature of these results and elucidating the scale/radius duality in AdS/CFT, our proposal provides a useful computational technique. |
0712.3512 | Mikhail Shifman | M. Shifman, A. Yung | Non-Abelian Strings and the Luscher Term | 7 pages, no figures | Phys.Rev.D77:066008,2008 | 10.1103/PhysRevD.77.066008 | UMN-TH-2627/07, FTPI-MINN-07/36 | hep-th hep-lat hep-ph | null | We calculate the Luscher term for recently suggested non-Abelian flux tubes
(strings). The main feature of the non-Abelian strings is the presence of
orientational zero modes associated with rotation of their color flux inside a
non-Abelian subgroup. The Luscher term is determined by the number of light
degrees of freedom on the string wordsheet. Unlike the standard \pi/12 we get
N\pi/12 for non-Abelian strings in the U(N) gauge theories. Thus, the Luscher
coefficient acquires a dependence on the rank of the gauge group. In the models
with non-Abelian strings discussed in the literature there are two distinct
scales: the string tension \xi (the string thickness \sim \xi^{-1/2}) and the
dynamical scale of strong interactions \Lambda. At weak coupling
\xi\gg\Lambda^2. The Luscher term for non-Abelian strings experiences a jump:
at \xi^{-1/2}\ll L\ll \Lambda^{-1} it is N\pi/12 while at at L\gg \Lambda^{-1}
the orientational moduli are frozen out and the Luscher coefficient approaches
its "Luscher" value \pi/12. We raise the question of possible extra (i.e.
non-translational) light moduli on the worldsheet of QCD strings at large N.
| [
{
"created": "Thu, 20 Dec 2007 18:22:50 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] | We calculate the Luscher term for recently suggested non-Abelian flux tubes (strings). The main feature of the non-Abelian strings is the presence of orientational zero modes associated with rotation of their color flux inside a non-Abelian subgroup. The Luscher term is determined by the number of light degrees of freedom on the string wordsheet. Unlike the standard \pi/12 we get N\pi/12 for non-Abelian strings in the U(N) gauge theories. Thus, the Luscher coefficient acquires a dependence on the rank of the gauge group. In the models with non-Abelian strings discussed in the literature there are two distinct scales: the string tension \xi (the string thickness \sim \xi^{-1/2}) and the dynamical scale of strong interactions \Lambda. At weak coupling \xi\gg\Lambda^2. The Luscher term for non-Abelian strings experiences a jump: at \xi^{-1/2}\ll L\ll \Lambda^{-1} it is N\pi/12 while at at L\gg \Lambda^{-1} the orientational moduli are frozen out and the Luscher coefficient approaches its "Luscher" value \pi/12. We raise the question of possible extra (i.e. non-translational) light moduli on the worldsheet of QCD strings at large N. |
hep-th/0204132 | Jihn E. Kim | Hyung Do Kim, Jihn E. Kim, and Hyun Min Lee | TeV scale 5D $SU(3)_W$ unification and the fixed point anomaly
cancellation with chiral split multiplets | LaTeX file of 19 pages with 1 figure | JHEP 0206:048,2002 | 10.1088/1126-6708/2002/06/048 | null | hep-th hep-ph | null | A possibility of 5D gauge unification of $SU(2)_L \times U(1)_Y$ in $SU(3)_W$
is examined. The orbifold compactification allows fixed points where
$SU(2)_L\times U(1)_Y$ representations can be assigned. We present a few
possibilities which give long proton lifetime, top-bottom mass hierarchy from
geometry, and reasonable neutrino masses. In general, these {\it chiral models}
can lead to fixed point anomalies. We can show easily, due to the simplicity of
the model, that these anomalies are cancelled by the relevant Chern-Simons
terms for all the models we consider. It is also shown that the fixed point
U(1)--graviton--graviton anomaly cancels without the help from the Chern-Simons
term. Hence, we conjecture that the fixed point anomalies can be cancelled if
the effective 4D theory is made anomaly free by locating chiral fermions at the
fixed points.
| [
{
"created": "Tue, 16 Apr 2002 21:42:43 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2002 20:35:44 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Kim",
"Hyung Do",
""
],
[
"Kim",
"Jihn E.",
""
],
[
"Lee",
"Hyun Min",
""
]
] | A possibility of 5D gauge unification of $SU(2)_L \times U(1)_Y$ in $SU(3)_W$ is examined. The orbifold compactification allows fixed points where $SU(2)_L\times U(1)_Y$ representations can be assigned. We present a few possibilities which give long proton lifetime, top-bottom mass hierarchy from geometry, and reasonable neutrino masses. In general, these {\it chiral models} can lead to fixed point anomalies. We can show easily, due to the simplicity of the model, that these anomalies are cancelled by the relevant Chern-Simons terms for all the models we consider. It is also shown that the fixed point U(1)--graviton--graviton anomaly cancels without the help from the Chern-Simons term. Hence, we conjecture that the fixed point anomalies can be cancelled if the effective 4D theory is made anomaly free by locating chiral fermions at the fixed points. |
0706.3327 | E. Ragoucy | E. Ragoucy and G. Satta | Analytical Bethe Ansatz for closed and open gl(M|N) super-spin chains in
arbitrary representations and for any Dynkin diagram | 40 pages; misprints and some references corrected; some mistakes in
the expression of the vacuum eigenvalue for the open case corrected (we are
grateful to R. Nepomechie who pointed them out) | JHEP 0709 : 001, 2007 | 10.1088/1126-6708/2007/09/001 | LAPTH-1189/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the analytical Bethe ansatz for spin chains based on the
superalgebras gl(M|N), $M\neq N$, with at each site an arbitrary representation
(and including inhomogeneities).
The calculation is done for closed and open spin chains. In this latter case,
the boundary matrices $K_{\pm}(u)$ are of general type, provided they commute.
We compute the Bethe ansatz equations in full generality, and for any type of
Dynkin diagram. Examples are worked out to illustrate the techniques.
| [
{
"created": "Fri, 22 Jun 2007 13:31:30 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 15:16:27 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Sep 2015 13:15:26 GMT",
"version": "v3"
}
] | 2015-09-18 | [
[
"Ragoucy",
"E.",
""
],
[
"Satta",
"G.",
""
]
] | We present the analytical Bethe ansatz for spin chains based on the superalgebras gl(M|N), $M\neq N$, with at each site an arbitrary representation (and including inhomogeneities). The calculation is done for closed and open spin chains. In this latter case, the boundary matrices $K_{\pm}(u)$ are of general type, provided they commute. We compute the Bethe ansatz equations in full generality, and for any type of Dynkin diagram. Examples are worked out to illustrate the techniques. |
hep-th/9708041 | Jose Fernandez Barbon | J.L.F. Barbon and A. Pasquinucci | D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories | 20 pp, harvmac, added comments on the multi-instanton case | Nucl.Phys. B517 (1998) 125-141 | 10.1016/S0550-3213(97)00819-5 | CERN-TH/97-196, IFUM-576/FT | hep-th | null | We consider in more detail the role of D0-branes as instantons in the
construction of SU(N) Super Yang-Mills and Super QCD theories in four
space-time dimensions with D4, D6 and NS-branes. In particular, we show how the
D0-branes describe both the exact and constrained instantons and reproduce the
correct pattern of lifting of zero modes on the various branches of these
models.
| [
{
"created": "Thu, 7 Aug 1997 15:24:23 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Sep 1997 14:48:56 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Barbon",
"J. L. F.",
""
],
[
"Pasquinucci",
"A.",
""
]
] | We consider in more detail the role of D0-branes as instantons in the construction of SU(N) Super Yang-Mills and Super QCD theories in four space-time dimensions with D4, D6 and NS-branes. In particular, we show how the D0-branes describe both the exact and constrained instantons and reproduce the correct pattern of lifting of zero modes on the various branches of these models. |
hep-th/9810204 | Paul Townsend | J.P. Gauntlett, R.C. Myers and P.K. Townsend | Black Holes of D=5 Supergravity | Latex 33 pp. Some improvements made and references added | Class.Quant.Grav.16:1-21,1999 | 10.1088/0264-9381/16/1/001 | QMW-PH-98-38, McGill/98-29, DAMTP-1998-132 | hep-th astro-ph gr-qc | null | We discuss some general features of black holes of five-dimensional
supergravity, such as the first law of black hole mechanics. We also discuss
some special features of rotating supersymmetric black holes. In particular, we
show that the horizon is a non-singular, and {\sl non-rotating}, null
hypersurface whose intersection with a Cauchy surface is a squashed 3-sphere.
We find the Killing spinors of the near-horizon geometry and thereby determine
the near-horizon isometry supergroup.
| [
{
"created": "Sun, 25 Oct 1998 13:56:37 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 1998 20:25:59 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Gauntlett",
"J. P.",
""
],
[
"Myers",
"R. C.",
""
],
[
"Townsend",
"P. K.",
""
]
] | We discuss some general features of black holes of five-dimensional supergravity, such as the first law of black hole mechanics. We also discuss some special features of rotating supersymmetric black holes. In particular, we show that the horizon is a non-singular, and {\sl non-rotating}, null hypersurface whose intersection with a Cauchy surface is a squashed 3-sphere. We find the Killing spinors of the near-horizon geometry and thereby determine the near-horizon isometry supergroup. |
1007.2118 | Mohammad R. Garousi | Mohammad R. Garousi | T-duality of anomalous Chern-Simons couplings | 19 pages, Latex file, no figure, the version appears in NPB | Nucl.Phys.B852:320-335,2011 | 10.1016/j.nuclphysb.2011.06.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the anomalous D$_p$-brane Chern-Simons couplings are not
consistent with the standard rules of T-duality. Using compatibility of these
couplings with the linear T-duality transformations, the B-field gauge
transformations and with the general coordinate transformations as guiding
principles we find new couplings at order $O(\alpha'^2)$ for ${\cal
C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$.
| [
{
"created": "Tue, 13 Jul 2010 14:46:23 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jul 2010 13:39:08 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2010 04:39:49 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Jan 2011 04:52:49 GMT",
"version": "v4"
},
{
"created": "Wed, 16 Feb 2011 13:49:32 GMT",
"version": "v5"
},
{
"created": "Tue, 17 May 2011 12:49:05 GMT",
"version": "v6"
},
{
"created": "Thu, 9 Jun 2011 06:36:14 GMT",
"version": "v7"
}
] | 2011-08-04 | [
[
"Garousi",
"Mohammad R.",
""
]
] | It is known that the anomalous D$_p$-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and with the general coordinate transformations as guiding principles we find new couplings at order $O(\alpha'^2)$ for ${\cal C}^{(p-3)}$, ${\cal C}^{(p-1)}$, ${\cal C}^{(p+1)}$ and ${\cal C}^{(p+3)}$. |
1711.11514 | Konstantin Stepanyantz | I.L.Buchbinder, E.A.Ivanov, B.S.Merzlikin, K.V.Stepanyantz | On the two-loop divergences of the 2-point hypermultiplet supergraphs
for $6D$, ${\cal N} = (1,1)$ SYM theory | 8 pages, 2 figures | null | 10.1016/j.physletb.2018.01.040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $6D$, ${\cal N}=(1,1)$ supersymmetric Yang-Mills theory
formulated in ${\cal N}=(1,0)$ harmonic superspace and analyze the structure of
the two-loop divergences in the hypermultiplet sector. Using the ${\cal
N}=(1,0)$ superfield background field method we study the two-point supergraphs
with the hypermultiplet legs and prove that their total contribution to the
divergent part of effective action vanishes off shell.
| [
{
"created": "Thu, 30 Nov 2017 17:03:50 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2017 04:36:40 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Dec 2017 19:52:39 GMT",
"version": "v3"
}
] | 2018-02-01 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] | We consider $6D$, ${\cal N}=(1,1)$ supersymmetric Yang-Mills theory formulated in ${\cal N}=(1,0)$ harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the ${\cal N}=(1,0)$ superfield background field method we study the two-point supergraphs with the hypermultiplet legs and prove that their total contribution to the divergent part of effective action vanishes off shell. |
1810.07706 | Riccardo Penco | Gabriele Franciolini, Lam Hui, Riccardo Penco, Luca Santoni, Enrico
Trincherini | Effective Field Theory of Black Hole Quasinormal Modes in Scalar-Tensor
Theories | 52 pages, 2 figures, 8 appendices; matches published version | null | 10.1007/JHEP02(2019)127 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The final ringdown phase in a coalescence process is a valuable laboratory to
test General Relativity and potentially constrain additional degrees of freedom
in the gravitational sector. We introduce here an effective description for
perturbations around spherically symmetric spacetimes in the context of
scalar-tensor theories, which we apply to study quasi-normal modes for black
holes with scalar hair. We derive the equations of motion governing the
dynamics of both the polar and the axial modes in terms of the coefficients of
the effective theory. Assuming the deviation of the background from
Schwarzschild is small, we use the WKB method to introduce the notion of "light
ring expansion". This approximation is analogous to the slow-roll expansion
used for inflation, and it allows us to express the quasinormal mode spectrum
in terms of a small number of parameters. This work is a first step in
describing, in a model independent way, how the scalar hair can affect the
ringdown stage and leave signatures on the emitted gravitational wave signal.
Potential signatures include the shifting of the quasi-normal spectrum, the
breaking of isospectrality between polar and axial modes, and the existence of
scalar radiation.
| [
{
"created": "Wed, 17 Oct 2018 18:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2018 16:22:02 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Feb 2019 01:54:17 GMT",
"version": "v3"
}
] | 2019-03-27 | [
[
"Franciolini",
"Gabriele",
""
],
[
"Hui",
"Lam",
""
],
[
"Penco",
"Riccardo",
""
],
[
"Santoni",
"Luca",
""
],
[
"Trincherini",
"Enrico",
""
]
] | The final ringdown phase in a coalescence process is a valuable laboratory to test General Relativity and potentially constrain additional degrees of freedom in the gravitational sector. We introduce here an effective description for perturbations around spherically symmetric spacetimes in the context of scalar-tensor theories, which we apply to study quasi-normal modes for black holes with scalar hair. We derive the equations of motion governing the dynamics of both the polar and the axial modes in terms of the coefficients of the effective theory. Assuming the deviation of the background from Schwarzschild is small, we use the WKB method to introduce the notion of "light ring expansion". This approximation is analogous to the slow-roll expansion used for inflation, and it allows us to express the quasinormal mode spectrum in terms of a small number of parameters. This work is a first step in describing, in a model independent way, how the scalar hair can affect the ringdown stage and leave signatures on the emitted gravitational wave signal. Potential signatures include the shifting of the quasi-normal spectrum, the breaking of isospectrality between polar and axial modes, and the existence of scalar radiation. |
hep-th/0405139 | Giuseppe Mussardo | G. Mussardo, V. Riva, G. Sotkov | Semiclassical Scaling Functions of Sine--Gordon Model | 33 pages, 6 figures | Nucl.Phys. B699 (2004) 545-574 | 10.1016/j.nuclphysb.2004.08.004 | ISAS/32/2004/FM | hep-th cond-mat.stat-mech math-ph math.MP | null | We present an analytic study of the finite size effects in Sine--Gordon
model, based on the semiclassical quantization of an appropriate kink
background defined on a cylindrical geometry. The quasi--periodic kink is
realized as an elliptic function with its real period related to the size of
the system. The stability equation for the small quantum fluctuations around
this classical background is of Lame' type and the corresponding energy
eigenvalues are selected inside the allowed bands by imposing periodic boundary
conditions. We derive analytical expressions for the ground state and excited
states scaling functions, which provide an explicit description of the flow
between the IR and UV regimes of the model. Finally, the semiclassical form
factors and two-point functions of the basic field and of the energy operator
are obtained, completing the semiclassical quantization of the Sine--Gordon
model on the cylinder.
| [
{
"created": "Sun, 16 May 2004 15:45:48 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Mussardo",
"G.",
""
],
[
"Riva",
"V.",
""
],
[
"Sotkov",
"G.",
""
]
] | We present an analytic study of the finite size effects in Sine--Gordon model, based on the semiclassical quantization of an appropriate kink background defined on a cylindrical geometry. The quasi--periodic kink is realized as an elliptic function with its real period related to the size of the system. The stability equation for the small quantum fluctuations around this classical background is of Lame' type and the corresponding energy eigenvalues are selected inside the allowed bands by imposing periodic boundary conditions. We derive analytical expressions for the ground state and excited states scaling functions, which provide an explicit description of the flow between the IR and UV regimes of the model. Finally, the semiclassical form factors and two-point functions of the basic field and of the energy operator are obtained, completing the semiclassical quantization of the Sine--Gordon model on the cylinder. |
1611.03702 | Keiju Murata Dr | Koji Hashimoto, Shunichiro Kinoshita, Keiju Murata, Takashi Oka | Holographic Floquet states: (I) A strongly coupled Weyl semimetal | 30 pages, 12 figures | null | 10.1007/JHEP05(2017)127 | null | hep-th cond-mat.mes-hall cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Floquet states can be realized in quantum systems driven by continuous
time-periodic perturbations. It is known that a state known as the Floquet Weyl
semimetal can be realized when free Dirac fermions are placed in a rotating
electric field. What will happen if strong interaction is introduced to this
system? Will the interaction wash out the characteristic features of Weyl
semimetals such as the Hall response? Is there a steady state and what is its
thermodynamic behavior? We answer these questions using AdS/CFT correspondence
in the $\mathcal{N}=2$ supersymmetric massless QCD in a rotating electric field
in the large $N_c$ limit realizing the first example of a "holographic Floquet
state". In this limit, gluons not only mediate interaction, but also act as an
energy reservoir and stabilize the nonequilibrium steady state (NESS). We
obtain the electric current induced by a rotating electric field: In the high
frequency region, the Ohm's law is satisfied, while we recover the DC nonlinear
conductivity at low frequency, which was obtained holographically in a previous
work. The thermodynamic properties of the NESS, e.g., fluctuation-dissipation
relation, is characterized by the effective Hawking temperature that is defined
from the effective horizon giving a holographic meaning to the "periodic
thermodynamic" concept. In addition to the strong (pump) rotating electric
field, we apply an additional weak (probe) electric field in the spirit of the
pump-probe experiments done in condensed matter experiments. Weak DC and AC
probe analysis in the background rotating electric field shows Hall currents as
a linear response, therefore the Hall response of Floquet Weyl semimetals
survives at the strong coupling limit. We also find frequency mixed response
currents, i.e., a heterodyning effect, characteristic to periodically driven
Floquet systems.
| [
{
"created": "Fri, 11 Nov 2016 13:40:38 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Hashimoto",
"Koji",
""
],
[
"Kinoshita",
"Shunichiro",
""
],
[
"Murata",
"Keiju",
""
],
[
"Oka",
"Takashi",
""
]
] | Floquet states can be realized in quantum systems driven by continuous time-periodic perturbations. It is known that a state known as the Floquet Weyl semimetal can be realized when free Dirac fermions are placed in a rotating electric field. What will happen if strong interaction is introduced to this system? Will the interaction wash out the characteristic features of Weyl semimetals such as the Hall response? Is there a steady state and what is its thermodynamic behavior? We answer these questions using AdS/CFT correspondence in the $\mathcal{N}=2$ supersymmetric massless QCD in a rotating electric field in the large $N_c$ limit realizing the first example of a "holographic Floquet state". In this limit, gluons not only mediate interaction, but also act as an energy reservoir and stabilize the nonequilibrium steady state (NESS). We obtain the electric current induced by a rotating electric field: In the high frequency region, the Ohm's law is satisfied, while we recover the DC nonlinear conductivity at low frequency, which was obtained holographically in a previous work. The thermodynamic properties of the NESS, e.g., fluctuation-dissipation relation, is characterized by the effective Hawking temperature that is defined from the effective horizon giving a holographic meaning to the "periodic thermodynamic" concept. In addition to the strong (pump) rotating electric field, we apply an additional weak (probe) electric field in the spirit of the pump-probe experiments done in condensed matter experiments. Weak DC and AC probe analysis in the background rotating electric field shows Hall currents as a linear response, therefore the Hall response of Floquet Weyl semimetals survives at the strong coupling limit. We also find frequency mixed response currents, i.e., a heterodyning effect, characteristic to periodically driven Floquet systems. |
hep-th/0605147 | Roland Hoffmann | Thomas DeGrand, Roland Hoffmann, Stefan Schaefer, Zhaofeng Liu | Quark condensate in one-flavor QCD | 12 pages, 4 figures, REVTeX4, v2: Small changes, extended
introduction, published version | Phys.Rev. D74 (2006) 054501 | 10.1103/PhysRevD.74.054501 | COLO-HEP-515 | hep-th hep-lat | null | We compute the condensate in QCD with a single quark flavor using numerical
simulations with the overlap formulation of lattice fermions. The condensate is
extracted by fitting the distribution of low lying eigenvalues of the Dirac
operator in sectors of fixed topological charge to the predictions of Random
Matrix Theory. Our results are in excellent agreement with estimates from the
orientifold large-N_c expansion.
| [
{
"created": "Mon, 15 May 2006 16:55:07 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jan 2007 21:15:47 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"DeGrand",
"Thomas",
""
],
[
"Hoffmann",
"Roland",
""
],
[
"Schaefer",
"Stefan",
""
],
[
"Liu",
"Zhaofeng",
""
]
] | We compute the condensate in QCD with a single quark flavor using numerical simulations with the overlap formulation of lattice fermions. The condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac operator in sectors of fixed topological charge to the predictions of Random Matrix Theory. Our results are in excellent agreement with estimates from the orientifold large-N_c expansion. |
hep-th/0305153 | Marco Cariglia | Marco Cariglia | Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime | 1+32 pages, no figures. Accepted for publication on Classical and
Quantum Gravity. New title and abstract. Some material has been moved to the
Appendix. Concrete formulas for Yano tensors on some special holonomy
manifolds have been provided. Some corrections included, bibliography
enlarged | Class.Quant.Grav.21:1051-1078,2004 | 10.1088/0264-9381/21/4/022 | DAMTP-2003-146 | hep-th gr-qc | null | In spacetimes admitting Yano tensors the classical theory of the spinning
particle possesses enhanced worldline supersymmetry. Quantum mechanically
generators of extra supersymmetries correspond to operators that in the
classical limit commute with the Dirac operator and generate conserved
quantities. We show that the result is preserved in the full quantum theory,
that is, Yano symmetries are not anomalous. This was known for Yano tensors of
rank two, but our main result is to show that it extends to Yano tensors of
arbitrary rank. We also describe the conformal Yano equation and show that is
invariant under Hodge duality. There is a natural relationship between Yano
tensors and supergravity theories. As the simplest possible example, we show
that when the spacetime admits a Killing spinor then this generates Yano and
conformal Yano tensors. As an application, we construct Yano tensors on
maximally symmetric spaces: they are spanned by tensor products of Killing
vectors.
| [
{
"created": "Sat, 17 May 2003 19:29:47 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jun 2003 16:49:48 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Dec 2003 23:31:25 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Cariglia",
"Marco",
""
]
] | In spacetimes admitting Yano tensors the classical theory of the spinning particle possesses enhanced worldline supersymmetry. Quantum mechanically generators of extra supersymmetries correspond to operators that in the classical limit commute with the Dirac operator and generate conserved quantities. We show that the result is preserved in the full quantum theory, that is, Yano symmetries are not anomalous. This was known for Yano tensors of rank two, but our main result is to show that it extends to Yano tensors of arbitrary rank. We also describe the conformal Yano equation and show that is invariant under Hodge duality. There is a natural relationship between Yano tensors and supergravity theories. As the simplest possible example, we show that when the spacetime admits a Killing spinor then this generates Yano and conformal Yano tensors. As an application, we construct Yano tensors on maximally symmetric spaces: they are spanned by tensor products of Killing vectors. |
hep-th/9806222 | J. N. G. N. Prata | J.N. Prata | Reflection Factors for the Principal Chiral Model | 12 pages, 1 Postscript figure | Phys.Lett. B438 (1998) 115-122 | 10.1016/S0370-2693(98)00955-1 | null | hep-th | null | We consider the SU(2) Principal Chiral Model (at level $k=1$) on the
half-line with scale invariant boundary conditions. By looking at the IR
limiting conformal field theory and comparing with the Kondo problem, we
propose the set of permissible boundary conditions and the corresponding
reflection factors.
| [
{
"created": "Sat, 27 Jun 1998 12:54:05 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Prata",
"J. N.",
""
]
] | We consider the SU(2) Principal Chiral Model (at level $k=1$) on the half-line with scale invariant boundary conditions. By looking at the IR limiting conformal field theory and comparing with the Kondo problem, we propose the set of permissible boundary conditions and the corresponding reflection factors. |
hep-th/9510057 | Gianni Cicuta | G.M.Cicuta, A.G.Ushveridze | Quasi-exactly solvable problems and random matrix theory | nine pages in Latex, no figures | null | 10.1016/0375-9601(96)00244-7 | null | hep-th | null | There exists an exact relationship between the quasi-exactly solvable
problems of quantum mechanics and models of square and rectangular random
complex matrices. This relationship enables one to reduce the problem of
constructing topological ($1/N$) expansions in random matrix models to the
problem of constructing semiclassical expansions for observables in
quasi-exactly solvable problems. Lie algebraic aspects of this relationship are
also discussed.
| [
{
"created": "Tue, 10 Oct 1995 08:27:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Cicuta",
"G. M.",
""
],
[
"Ushveridze",
"A. G.",
""
]
] | There exists an exact relationship between the quasi-exactly solvable problems of quantum mechanics and models of square and rectangular random complex matrices. This relationship enables one to reduce the problem of constructing topological ($1/N$) expansions in random matrix models to the problem of constructing semiclassical expansions for observables in quasi-exactly solvable problems. Lie algebraic aspects of this relationship are also discussed. |
0711.4091 | Dmitri Vassilevich | D. V. Vassilevich | Symmetries in noncommutative field theories: Hopf versus Lie | based on talk at at the Workshop on Quantum Field Theory and
Representation Theory, Sao Paulo, August 21-24, 2007 | Sao Paulo J.Math.Sci.4:121-133,2010 | null | null | hep-th | null | I discuss motivations for introducing Hopf algebra symmetries in
noncommutative field theories and briefly describe twisting of main symmetry
transformations. New results include an extended list of twisted gauge
invariants (which may help to overcome the problem of inconsistency of
equations of motion) and a gauge-covariant twist operator (leading to a
gauge-covariant star product).
| [
{
"created": "Mon, 26 Nov 2007 19:56:15 GMT",
"version": "v1"
}
] | 2011-02-01 | [
[
"Vassilevich",
"D. V.",
""
]
] | I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product). |
1704.04223 | Cheng Peng | Cheng Peng | Vector models and generalized SYK models | 36 pages, 12 figures | null | 10.1007/JHEP05(2017)129 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the relation between SYK-like models and vector models by
studying a toy model where a tensor field is coupled with a vector field. By
integrating out the tensor field, the toy model reduces to the Gross-Neveu
model in 1 dimension. On the other hand, a certain perturbation can be turned
on and the toy model flows to an SYK-like model at low energy. A
chaotic-nonchaotic phase transition occurs as the sign of the perturbation is
altered. We further study similar models that possess chaos and enhanced
reparameterization symmetries.
| [
{
"created": "Thu, 13 Apr 2017 17:46:56 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Peng",
"Cheng",
""
]
] | We consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. A chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that possess chaos and enhanced reparameterization symmetries. |
0901.2322 | Daniela Klammer | Daniela Klammer, Harold Steinacker (Vienna U.) | Fermions Coupled to Emergent Noncommutative Gravity | Talk given at a Workshop on Black Holes in General Relativity and
String Theory, August 2008. Veli Losinj, Croatia | PoS BHs,GRandStrings 2008:037,2008 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the coupling of fermions to Yang-Mills matrix models in the
framework of emergent noncommutative gravity. It is shown that the matrix model
action provides an appropriate coupling for fermions to gravity, albeit with a
non-standard spin-connection. Integrating out the fermions in a nontrivial
geometrical background induces indeed the Einstein-Hilbert action for on-shell
geometries plus a dilaton-like term. This result explains UV/IR mixing as a
gravity effect. It also illuminates why UV/IR mixing remains even in
supersymmetric models, except in the N=4 case.
| [
{
"created": "Thu, 15 Jan 2009 18:18:30 GMT",
"version": "v1"
}
] | 2010-02-16 | [
[
"Klammer",
"Daniela",
"",
"Vienna U."
],
[
"Steinacker",
"Harold",
"",
"Vienna U."
]
] | We study the coupling of fermions to Yang-Mills matrix models in the framework of emergent noncommutative gravity. It is shown that the matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard spin-connection. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action for on-shell geometries plus a dilaton-like term. This result explains UV/IR mixing as a gravity effect. It also illuminates why UV/IR mixing remains even in supersymmetric models, except in the N=4 case. |
0710.5394 | Shao-Feng Wu | Shao-Feng Wu, Guo-Hong Yang, and Peng-Ming Zhang | Cosmological equations and Thermodynamics on Apparent Horizon in Thick
Braneworld | 25 pages, no figure, a definition corrected, several references
added, more motivation and discussion | Gen.Rel.Grav.42:1601-1622,2010 | 10.1007/s10714-010-0932-5 | null | hep-th | null | We derive the generalized Friedmann equation governing the cosmological
evolution inside the thick brane model in the presence of two curvature
correction terms: a four-dimensional scalar curvature from induced gravity on
the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two
effective four-dimensional reductions of the Friedmann equation in some limits
and demonstrate that they can be rewritten as the first law of thermodynamics
on the apparent horizon of thick braneworld.
| [
{
"created": "Mon, 29 Oct 2007 11:43:35 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Apr 2008 08:05:20 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Apr 2008 12:08:48 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Wu",
"Shao-Feng",
""
],
[
"Yang",
"Guo-Hong",
""
],
[
"Zhang",
"Peng-Ming",
""
]
] | We derive the generalized Friedmann equation governing the cosmological evolution inside the thick brane model in the presence of two curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two effective four-dimensional reductions of the Friedmann equation in some limits and demonstrate that they can be rewritten as the first law of thermodynamics on the apparent horizon of thick braneworld. |
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