id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9510166 | Jean Avan | Jean Avan and Genevieve Rollet | The Classical $r$-Matrix for the Relativistic Ruijsenaars-Schneider
System | LaTeX file, no figures, 8 pages | null | 10.1016/0375-9601(96)00068-0 | Brown HET 1014 and PAR LPTHE 95-47 (Sept. 95) | hep-th | null | We compute the classical $r$-matrix for the relativistic generalization of
the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the
speed-of-light parameter $\lambda$. We connect it with the non-relativistic
Calogero-Moser $r$-matrix $(\lambda \rightarrow -1)$ and the $\lambda = 1$
sine-Gordon soliton limit.
| [
{
"created": "Mon, 23 Oct 1995 14:33:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Avan",
"Jean",
""
],
[
"Rollet",
"Genevieve",
""
]
] | We compute the classical $r$-matrix for the relativistic generalization of the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the speed-of-light parameter $\lambda$. We connect it with the non-relativistic Calogero-Moser $r$-matrix $(\lambda \rightarrow -1)$ and the $\lambda = 1$ sine-Gordon soliton limit. |
hep-th/0512330 | Ruslan Metsaev | R.R.Metsaev | Light-cone formulation of conformal field theory adapted to AdS/CFT
correspondence | 12 pages, LaTeX-2e, v2: typos corrected, following Phys.Lett.B
referee's advice the title is changed | Phys.Lett.B636:227-233,2006 | 10.1016/j.physletb.2006.03.052 | FIAN/TD/11-05 | hep-th | null | Light-cone formulation of conformal field theory in space-time of arbitrary
dimension is developed. Conformal fundamental and shadow fields with arbitrary
conformal dimension and arbitrary spin are studied. Representation of conformal
algebra generators on space of conformal fundamental and shadow fields in terms
of spin operators which enter in light-cone gauge formulation of field dynamics
in AdS space is found. As an example of application of light-cone formalism we
discuss AdS/CFT correspondence for massive arbitrary spin AdS fields and
corresponding boundary CFT fields at the level of two point function.
| [
{
"created": "Wed, 28 Dec 2005 17:10:39 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2006 15:40:15 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Metsaev",
"R. R.",
""
]
] | Light-cone formulation of conformal field theory in space-time of arbitrary dimension is developed. Conformal fundamental and shadow fields with arbitrary conformal dimension and arbitrary spin are studied. Representation of conformal algebra generators on space of conformal fundamental and shadow fields in terms of spin operators which enter in light-cone gauge formulation of field dynamics in AdS space is found. As an example of application of light-cone formalism we discuss AdS/CFT correspondence for massive arbitrary spin AdS fields and corresponding boundary CFT fields at the level of two point function. |
1112.5446 | David Kubiznak | Marco Cariglia, Pavel Krtous, David Kubiznak | Hidden Symmetries and Integrability in Higher Dimensional Rotating Black
Hole Spacetimes | short review on recent advances in the subject, prepared for
proceedings of XVII European Workshop on String Theory 2011, 5 pages | Fortschritte der Physik, Volume 60, Issue 7/8, page 947, 2012 | 10.1002/prop.201200005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a short pedagogical introduction to the subject of Killing-Stackel
and Killing-Yano tensors and their role in the integrability of various types
of equations that are of physical interest in curved spacetime, the main
application being higher dimensional rotating black holes with cosmological
constant.
| [
{
"created": "Thu, 22 Dec 2011 20:42:24 GMT",
"version": "v1"
}
] | 2012-09-03 | [
[
"Cariglia",
"Marco",
""
],
[
"Krtous",
"Pavel",
""
],
[
"Kubiznak",
"David",
""
]
] | This is a short pedagogical introduction to the subject of Killing-Stackel and Killing-Yano tensors and their role in the integrability of various types of equations that are of physical interest in curved spacetime, the main application being higher dimensional rotating black holes with cosmological constant. |
2210.02894 | Hibiki Satake | Toshifumi Noumi, Hibiki Satake | Higher derivative corrections to black brane thermodynamics and the weak
gravity conjecture | 22 pages, 1 figure; v2: references added, minor corrections; v3:
minor corrections | null | 10.1007/JHEP12(2022)130 | KOBE-COSMO-22-15 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study higher derivative corrections to black brane thermodynamics and
their implications for the weak gravity conjecture for $p$-form gauge fields.
In particular we show that higher derivative corrections decrease
tension-to-charge ratios of extremal black branes as implied by the weak
gravity conjecture, if four-derivative couplings follow scattering positivity
bounds. We also demonstrate that entropy corrections in the micro canonical
ensemble are positive under the same assumptions. This extends earlier works in
the Einstein-Maxwell theory to $p$-form gauge fields in general spacetime
dimensions.
| [
{
"created": "Thu, 6 Oct 2022 13:11:24 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2022 05:05:45 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2022 09:22:26 GMT",
"version": "v3"
}
] | 2023-01-04 | [
[
"Noumi",
"Toshifumi",
""
],
[
"Satake",
"Hibiki",
""
]
] | We study higher derivative corrections to black brane thermodynamics and their implications for the weak gravity conjecture for $p$-form gauge fields. In particular we show that higher derivative corrections decrease tension-to-charge ratios of extremal black branes as implied by the weak gravity conjecture, if four-derivative couplings follow scattering positivity bounds. We also demonstrate that entropy corrections in the micro canonical ensemble are positive under the same assumptions. This extends earlier works in the Einstein-Maxwell theory to $p$-form gauge fields in general spacetime dimensions. |
1505.08108 | Joseph Polchinski | Joseph Polchinski | Chaos in the black hole S-matrix | 13 pages, 2 figures. v2: correction to eq. 2.18 and added
clarification (new footnote 6) | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work by Shenker, Stanford, and Kitaev has related the black hole
horizon geometry to chaotic behavior. We extend this from eternal black holes
to black holes that form and then evaporate. This leads to an identity for the
change in the black hole S-matrix (over times shorter than the scrambling time)
due an addition infalling particle, elaborating an idea of 't Hooft.
| [
{
"created": "Fri, 29 May 2015 16:48:40 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2015 18:07:04 GMT",
"version": "v2"
}
] | 2015-06-02 | [
[
"Polchinski",
"Joseph",
""
]
] | Recent work by Shenker, Stanford, and Kitaev has related the black hole horizon geometry to chaotic behavior. We extend this from eternal black holes to black holes that form and then evaporate. This leads to an identity for the change in the black hole S-matrix (over times shorter than the scrambling time) due an addition infalling particle, elaborating an idea of 't Hooft. |
1304.5229 | Chris Gordon | Chris Gordon and Paul M. Saffin | Adiabatic and Isocurvature Perturbation Projections in Multi-Field
Inflation | 11 pages, 1 figure; v2: Minor typos corrected, reflects published
version | JCAP08(2013)021 | 10.1088/1475-7516/2013/08/021 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Current data are in good agreement with the predictions of single field
inflation. However, the hemispherical asymmetry seen in the cosmic microwave
background data, may hint at a potential problem. Generalizing to multi-field
models may provide one possible explanation. A useful way of modeling
perturbations in multi-field inflation is to investigate the projection of the
perturbation along and perpendicular to the background fields' trajectory.
These correspond to the adiabatic and isocurvature perturbations. However, it
is important to note that in general there are no corresponding adiabatic and
isocurvature fields. The purpose of this article is to highlight the
distinction between a field redefinition and a perturbation projection. We
provide a detailed derivation of the evolution of the isocurvature perturbation
to show that no assumption of an adiabatic or isocurvature field is needed. We
also show how this evolution equation is consistent with the field covariant
evolution equations for the isocurvature perturbation in the flat field space
limit.
| [
{
"created": "Thu, 18 Apr 2013 19:20:46 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Aug 2013 05:02:44 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Gordon",
"Chris",
""
],
[
"Saffin",
"Paul M.",
""
]
] | Current data are in good agreement with the predictions of single field inflation. However, the hemispherical asymmetry seen in the cosmic microwave background data, may hint at a potential problem. Generalizing to multi-field models may provide one possible explanation. A useful way of modeling perturbations in multi-field inflation is to investigate the projection of the perturbation along and perpendicular to the background fields' trajectory. These correspond to the adiabatic and isocurvature perturbations. However, it is important to note that in general there are no corresponding adiabatic and isocurvature fields. The purpose of this article is to highlight the distinction between a field redefinition and a perturbation projection. We provide a detailed derivation of the evolution of the isocurvature perturbation to show that no assumption of an adiabatic or isocurvature field is needed. We also show how this evolution equation is consistent with the field covariant evolution equations for the isocurvature perturbation in the flat field space limit. |
1311.6354 | Rafael Maldonado | Rafael Maldonado | Higher charge periodic monopoles | 15 pages, 5 figures | null | null | DCPT-13/45 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider singly periodic solutions to the SU(2) Bogomolny equations and
use the Nahm transform to generate a class of monopoles of charge k>2, thereby
extending known results for lower charge chains. Some simple scattering
processes are presented and a comparison made with geodesic motion of monopoles
in $\mathbb{R}^3$.
| [
{
"created": "Mon, 25 Nov 2013 16:32:07 GMT",
"version": "v1"
}
] | 2013-11-26 | [
[
"Maldonado",
"Rafael",
""
]
] | We consider singly periodic solutions to the SU(2) Bogomolny equations and use the Nahm transform to generate a class of monopoles of charge k>2, thereby extending known results for lower charge chains. Some simple scattering processes are presented and a comparison made with geodesic motion of monopoles in $\mathbb{R}^3$. |
hep-th/9702006 | David Lowe | David A. Lowe | Bound States of Type I' D-particles and Enhanced Gauge Symmetry | 11 pages, harvmac (b mode), minor corrections | Nucl.Phys. B501 (1997) 134-142 | 10.1016/S0550-3213(97)00345-3 | CALT-68-2096 | hep-th | null | Duality between the E_8 x E_8 heterotic string and Type I' theory predicts a
tower of D(irichlet)-particle bound states corresponding to perturbative
heterotic string states. In the limit of infinite Type I' coupling, some of
these bound states become massless, giving rise to enhanced E_8 x E_8 gauge
symmetry. By taking a different infinite coupling limit, one can recover the
E_8 x E_8 gauge bosons of M-theory, compactified on S^1/Z_2. In this paper we
use the matrix model description of the D-particle dynamics to study these
bound states. We find results consistent with the chain of dualities and
clarify a number of issues that arise in the application of the matrix
mechanics to this system.
| [
{
"created": "Fri, 31 Jan 1997 23:03:41 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 1997 15:09:08 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Lowe",
"David A.",
""
]
] | Duality between the E_8 x E_8 heterotic string and Type I' theory predicts a tower of D(irichlet)-particle bound states corresponding to perturbative heterotic string states. In the limit of infinite Type I' coupling, some of these bound states become massless, giving rise to enhanced E_8 x E_8 gauge symmetry. By taking a different infinite coupling limit, one can recover the E_8 x E_8 gauge bosons of M-theory, compactified on S^1/Z_2. In this paper we use the matrix model description of the D-particle dynamics to study these bound states. We find results consistent with the chain of dualities and clarify a number of issues that arise in the application of the matrix mechanics to this system. |
hep-th/9407101 | Janna Levin | Janna Levin | Kinetic Inflation in Stringy and Other Cosmologies | 26 pages, LaTeX, CITA-94-25 | Phys.Rev.D51:1536-1545,1995 | 10.1103/PhysRevD.51.1536 | null | hep-th astro-ph gr-qc | null | An inflationary epoch driven by the kinetic energy density in a dynamical
Planck mass is studied. In the conformally related Einstein frame it is easiest
to see the demands of successful inflation cannot be satisfied by kinetic
inflation alone. Viewed in the original Jordan-Brans-Dicke frame, the obstacle
is manifest as a kind of graceful exit problem and/or a kind of flatness
problem. These arguments indicate the weakness of only the simplest
formulation. {}From them can be gleaned directions toward successful kinetic
inflation.
| [
{
"created": "Sun, 17 Jul 1994 17:09:07 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Levin",
"Janna",
""
]
] | An inflationary epoch driven by the kinetic energy density in a dynamical Planck mass is studied. In the conformally related Einstein frame it is easiest to see the demands of successful inflation cannot be satisfied by kinetic inflation alone. Viewed in the original Jordan-Brans-Dicke frame, the obstacle is manifest as a kind of graceful exit problem and/or a kind of flatness problem. These arguments indicate the weakness of only the simplest formulation. {}From them can be gleaned directions toward successful kinetic inflation. |
hep-th/0201155 | Adil Belhaj | Adil Belhaj | Manifolds of G_2 Holonomy from N=4 Sigma Model | Latex, 14 pages. Some comments are added,typos fixed. One reference
added [17]. Final version accepted for publication in the J. Phys.A:
Math.Gen.35(2002) | J.Phys.A35:8903-8912,2002 | 10.1088/0305-4470/35/42/302 | null | hep-th | null | Using two dimensional (2D) N=4 sigma model, with $U(1)^r$ gauge symmetry, and
introducing the ADE Cartan matrices as gauge matrix charges, we build " toric"
hyper-Kahler eight real dimensional manifolds X_8. Dividing by one toric
geometry circle action of X_8 manifolds, we present examples describing
quotients $X_7={X_8\over U(1)}$ of G_2 holonomy. In particular, for the A_r
Cartan matrix, the quotient space is a cone on a $ {S^2}$ bundle over r
intersecting $\bf WCP^2_{(1,2,1)}$ projective spaces according to the A_r
Dynkin diagram.
| [
{
"created": "Sun, 20 Jan 2002 16:30:23 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2002 13:11:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Belhaj",
"Adil",
""
]
] | Using two dimensional (2D) N=4 sigma model, with $U(1)^r$ gauge symmetry, and introducing the ADE Cartan matrices as gauge matrix charges, we build " toric" hyper-Kahler eight real dimensional manifolds X_8. Dividing by one toric geometry circle action of X_8 manifolds, we present examples describing quotients $X_7={X_8\over U(1)}$ of G_2 holonomy. In particular, for the A_r Cartan matrix, the quotient space is a cone on a $ {S^2}$ bundle over r intersecting $\bf WCP^2_{(1,2,1)}$ projective spaces according to the A_r Dynkin diagram. |
hep-th/0512315 | Alexander E. Kaloshin | A.E. Kaloshin, V.P. Lomov and A.M. Moiseeva | Generalized lagrangian of the Rarita--Schwinger field | 9 pages, revtex4 | null | null | null | hep-th hep-ph | null | We derive the most general lagrangian of the free massive Rarita--Schwinger
field, which generalizes the previously known ones. The special role of the
reparameterization transformation is discussed.
| [
{
"created": "Tue, 27 Dec 2005 07:22:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kaloshin",
"A. E.",
""
],
[
"Lomov",
"V. P.",
""
],
[
"Moiseeva",
"A. M.",
""
]
] | We derive the most general lagrangian of the free massive Rarita--Schwinger field, which generalizes the previously known ones. The special role of the reparameterization transformation is discussed. |
1210.7305 | Yuichi Fukazawa | Yuichi Fukazawa, Takeo Inami and Yoji Koyama | Radion Inflation in Higher-Dimensional Gravity Theory | 6 pages, 3 eps figures | null | 10.1093/ptep/pts088 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a radion model for inflation and density perturbation identifying
the scalar field arising from the five-dimensional gravity on $M_4 x S^1$ with
the inflaton. The inflaton potential arising from 5D graviton and matter
one-loop effects is shown to possess the desirable slow-roll property. This
radion model contains only a small number of parameters and there is an ample
parameter region which reproduces (without fine-tuning) all precision
astrophysical data.
| [
{
"created": "Sat, 27 Oct 2012 09:25:10 GMT",
"version": "v1"
}
] | 2016-06-21 | [
[
"Fukazawa",
"Yuichi",
""
],
[
"Inami",
"Takeo",
""
],
[
"Koyama",
"Yoji",
""
]
] | We study a radion model for inflation and density perturbation identifying the scalar field arising from the five-dimensional gravity on $M_4 x S^1$ with the inflaton. The inflaton potential arising from 5D graviton and matter one-loop effects is shown to possess the desirable slow-roll property. This radion model contains only a small number of parameters and there is an ample parameter region which reproduces (without fine-tuning) all precision astrophysical data. |
2406.12772 | Hong-An Zeng | Rong-Gen Cai, Song He, Li Li and Hong-An Zeng | QCD Phase Diagram at finite Magnetic Field and Chemical Potential: A
Holographic Approach Using Machine Learning | 10 pages, 13 figures | null | null | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By leveraging neural networks, we address the inverse problem of constructing
a quantitative 2+1-flavor holographic QCD model based on state-of-the-art
lattice QCD data. Our model demonstrates quantitative agreement with the latest
lattice QCD results. We construct the full phase diagram at finite magnetic
field $B$, baryon chemical potential $\mu_B$ and temperature $T$. We uncover
rich phase structure with a first-order phase transition surface and a critical
endpoint line within the 3-dimensional phase diagram. The critical endpoint at
vanishing chemical potential aligns with current speculations in the lattice
QCD literature. In particular, for large magnetic field, we find two critical
endpoints in the $T$-$\mu_B$ plane. The critical exponents of the critical
endpoints adhere to scaling relations and depend on the background magnetic
field. Moreover, they are exhibit deviations from mean-field theory,
highlighting the distinctive features of our holographic approach.
| [
{
"created": "Tue, 18 Jun 2024 16:42:15 GMT",
"version": "v1"
}
] | 2024-06-19 | [
[
"Cai",
"Rong-Gen",
""
],
[
"He",
"Song",
""
],
[
"Li",
"Li",
""
],
[
"Zeng",
"Hong-An",
""
]
] | By leveraging neural networks, we address the inverse problem of constructing a quantitative 2+1-flavor holographic QCD model based on state-of-the-art lattice QCD data. Our model demonstrates quantitative agreement with the latest lattice QCD results. We construct the full phase diagram at finite magnetic field $B$, baryon chemical potential $\mu_B$ and temperature $T$. We uncover rich phase structure with a first-order phase transition surface and a critical endpoint line within the 3-dimensional phase diagram. The critical endpoint at vanishing chemical potential aligns with current speculations in the lattice QCD literature. In particular, for large magnetic field, we find two critical endpoints in the $T$-$\mu_B$ plane. The critical exponents of the critical endpoints adhere to scaling relations and depend on the background magnetic field. Moreover, they are exhibit deviations from mean-field theory, highlighting the distinctive features of our holographic approach. |
hep-th/0312320 | Soon-Tae Hong | Soon-Tae Hong | Schr\"odinger representation for topological solitons | 7 pages; added references | null | null | null | hep-th | null | Exploiting the SU(2) Skyrmion Lagrangian with second-class constraints
associated with Lagrange multiplier and collective coordinates, we convert the
second-class system into the first-class one in the Batalin-Fradkin-Tyutin
embedding through introduction of the St\"uckelberg coordinates. In this
extended phase space we construct the "canonical" quantum operator commutators
of the collective coordinates and their conjugate momenta to describe the
Schr\"odinger representation of the SU(2) Skyrmion, so that we can define
isospin operators and their Casimir quantum operator and the corresponding
eigenvalue equation possessing integer quantum numbers, and we can also assign
via the homotopy class $\pi_{4}(SU(2))=Z_{2}$ half integers to the isospin
quantum number for the solitons in baryon phenomenology. Different from the
semiclassical quantization previously performed, we exploit the "canonical"
quantization scheme in the enlarged phase space by introducing the
St\"uckelberg coordinates, to evaluate the baryon mass spectrum having global
mass shift originated from geometrical corrections due to the $S^{3}$ compact
manifold involved in the topological Skyrmion. Including ghosts and
anti-ghosts, we also construct Becci-Rouet-Stora-Tyutin invariant effective
Lagrangian.
| [
{
"created": "Wed, 31 Dec 2003 05:06:11 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2004 04:17:32 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hong",
"Soon-Tae",
""
]
] | Exploiting the SU(2) Skyrmion Lagrangian with second-class constraints associated with Lagrange multiplier and collective coordinates, we convert the second-class system into the first-class one in the Batalin-Fradkin-Tyutin embedding through introduction of the St\"uckelberg coordinates. In this extended phase space we construct the "canonical" quantum operator commutators of the collective coordinates and their conjugate momenta to describe the Schr\"odinger representation of the SU(2) Skyrmion, so that we can define isospin operators and their Casimir quantum operator and the corresponding eigenvalue equation possessing integer quantum numbers, and we can also assign via the homotopy class $\pi_{4}(SU(2))=Z_{2}$ half integers to the isospin quantum number for the solitons in baryon phenomenology. Different from the semiclassical quantization previously performed, we exploit the "canonical" quantization scheme in the enlarged phase space by introducing the St\"uckelberg coordinates, to evaluate the baryon mass spectrum having global mass shift originated from geometrical corrections due to the $S^{3}$ compact manifold involved in the topological Skyrmion. Including ghosts and anti-ghosts, we also construct Becci-Rouet-Stora-Tyutin invariant effective Lagrangian. |
1606.00674 | Nihat Sadik Deger | Nihat Sadik Deger | Time-Dependent AdS Backgrounds from S-Branes | 10 pages, v2: text improved, to appear in Phys.Lett. B | Phys.Lett. B762 (2016) 209-213 | 10.1016/j.physletb.2016.07.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct time and radial dependent solutions that describe p-branes in
chargeless S-brane backgrounds. In particular, there are some new M5- and
D3-branes among our solutions which have AdS limits and contain a cosmological
singularity as well. We also find a time-dependent version of the dyonic
membrane configuration in 11-dimensions by applying a Lunin-Maldacena
deformation to our new M5-brane solution.
| [
{
"created": "Thu, 2 Jun 2016 13:45:58 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jul 2016 10:47:58 GMT",
"version": "v2"
}
] | 2016-10-03 | [
[
"Deger",
"Nihat Sadik",
""
]
] | We construct time and radial dependent solutions that describe p-branes in chargeless S-brane backgrounds. In particular, there are some new M5- and D3-branes among our solutions which have AdS limits and contain a cosmological singularity as well. We also find a time-dependent version of the dyonic membrane configuration in 11-dimensions by applying a Lunin-Maldacena deformation to our new M5-brane solution. |
hep-th/9609153 | Giovanni Felder | Giovanni Felder (D-MATH, ETH Zuerich) | The KZB equations on Riemann surfaces | 29 pages, LaTeX, to appear in the Proceedings of the 1995 les Houches
Summer School | null | null | null | hep-th | null | In this paper, based on the author's lectures at the 1995 les Houches Summer
school, explicit expressions for the Friedan--Shenker connection on the vector
bundle of WZW conformal blocks on the moduli space of curves with tangent
vectors at $n$ marked points are given. The covariant derivatives are expressed
in terms of ``dynamical $r$-matrices'', a notion borrowed from integrable
systems. The case of marked points moving on a fixed Riemann surface is studied
more closely. We prove a universal form of the (projective) flatness of the
connection: the covariant derivatives commute as differential operators with
coefficients in the universal enveloping algebra -- not just when acting on
conformal blocks.
| [
{
"created": "Wed, 18 Sep 1996 08:01:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Felder",
"Giovanni",
"",
"D-MATH, ETH Zuerich"
]
] | In this paper, based on the author's lectures at the 1995 les Houches Summer school, explicit expressions for the Friedan--Shenker connection on the vector bundle of WZW conformal blocks on the moduli space of curves with tangent vectors at $n$ marked points are given. The covariant derivatives are expressed in terms of ``dynamical $r$-matrices'', a notion borrowed from integrable systems. The case of marked points moving on a fixed Riemann surface is studied more closely. We prove a universal form of the (projective) flatness of the connection: the covariant derivatives commute as differential operators with coefficients in the universal enveloping algebra -- not just when acting on conformal blocks. |
0911.5105 | Sergey Yu. Vernov | Irina Ya. Aref'eva, Nikolay V. Bulatov, Sergey Yu. Vernov | Stable Exact Solutions in Cosmological Models with Two Scalar Fields | 23 pages, v3:typos corrected, references added | Theor.Math.Phys.163:788-803,2010 | 10.1007/s11232-010-0063-x | null | hep-th astro-ph.CO gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stability of isotropic cosmological solutions for two-field models in the
Bianchi I metric is considered. We prove that the sufficient conditions for the
Lyapunov stability in the Friedmann-Robertson-Walker metric provide the
stability with respect to anisotropic perturbations in the Bianchi I metric and
with respect to the cold dark matter energy density fluctuations. Sufficient
conditions for the Lyapunov stability of the isotropic fixed points of the
system of the Einstein equations have been found. We use the superpotential
method to construct stable kink-type solutions and obtain sufficient conditions
on the superpotential for the Lyapunov stability of the corresponding exact
solutions. We analyze the stability of isotropic kink-type solutions for string
field theory inspired cosmological models.
| [
{
"created": "Thu, 26 Nov 2009 15:56:29 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2009 11:23:25 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Dec 2010 20:59:41 GMT",
"version": "v3"
}
] | 2010-12-30 | [
[
"Aref'eva",
"Irina Ya.",
""
],
[
"Bulatov",
"Nikolay V.",
""
],
[
"Vernov",
"Sergey Yu.",
""
]
] | The stability of isotropic cosmological solutions for two-field models in the Bianchi I metric is considered. We prove that the sufficient conditions for the Lyapunov stability in the Friedmann-Robertson-Walker metric provide the stability with respect to anisotropic perturbations in the Bianchi I metric and with respect to the cold dark matter energy density fluctuations. Sufficient conditions for the Lyapunov stability of the isotropic fixed points of the system of the Einstein equations have been found. We use the superpotential method to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for string field theory inspired cosmological models. |
1603.02670 | Julio Oliva | Alex Giacomini, Carla Henriquez-Baez, Marcela Lagos, Julio Oliva, Aldo
Vera | Instability of black strings in third-order Lovelock theory | 20 pages, 4 figures. V2: Minor modifications, reference added and
improved convergence test. 20 pages, 4 figures. V3: Typos corrected. 21
pages. To appear in PRD | Phys. Rev. D 93, 104005 (2016) | 10.1103/PhysRevD.93.104005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that homogeneous black strings of third-order Lovelock theory are
unstable under s-wave perturbations. This analysis is done in dimension $D=9$,
which is the lowest dimension that allows the existence of homogeneous black
strings in a theory that contains only the third-order Lovelock term in the
Lagrangian. As is the case in general relativity, the instability is produced
by long wavelength perturbations and it stands for the perturbative counterpart
of a thermal instability. We also provide a comparative analysis of the
instabilities of black strings at a fixed radius in general relativity,
Gauss-Bonnet and third-order Lovelock theory. We show that the minimum critical
wavelength that triggers the instability grows with the power of the curvature
defined in the Lagrangian. The maximum exponential growth during the time of
the perturbation is the largest in general relativity and it decreases with the
number of curvatures involved in the Lagrangian.
| [
{
"created": "Tue, 8 Mar 2016 20:51:55 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Apr 2016 18:04:00 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Apr 2016 18:36:42 GMT",
"version": "v3"
}
] | 2016-05-11 | [
[
"Giacomini",
"Alex",
""
],
[
"Henriquez-Baez",
"Carla",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Oliva",
"Julio",
""
],
[
"Vera",
"Aldo",
""
]
] | We show that homogeneous black strings of third-order Lovelock theory are unstable under s-wave perturbations. This analysis is done in dimension $D=9$, which is the lowest dimension that allows the existence of homogeneous black strings in a theory that contains only the third-order Lovelock term in the Lagrangian. As is the case in general relativity, the instability is produced by long wavelength perturbations and it stands for the perturbative counterpart of a thermal instability. We also provide a comparative analysis of the instabilities of black strings at a fixed radius in general relativity, Gauss-Bonnet and third-order Lovelock theory. We show that the minimum critical wavelength that triggers the instability grows with the power of the curvature defined in the Lagrangian. The maximum exponential growth during the time of the perturbation is the largest in general relativity and it decreases with the number of curvatures involved in the Lagrangian. |
1805.01609 | Jean-Luc Lehners | Job Feldbrugge, Jean-Luc Lehners and Neil Turok | Inconsistencies of the New No-Boundary Proposal | 23 pages, 5 figures, v2: version to be published, includes additional
arguments and details | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous works, we have demonstrated that the path integral for {\it real,
Lorentzian} four-geometries in Einstein gravity yields sensible results in
well-understood physical situations, but leads to uncontrolled fluctuations
when the "no boundary" condition proposed by Hartle and Hawking is imposed. In
order to circumvent our result, new definitions for the gravitational path
integral have been sought, involving specific choices for a class of {\it
complex} four-geometries to be included. In their latest proposal, Diaz
Dorronsoro {\it et al.}~\cite{DiazDorronsoro:2018wro} advocate integrating the
lapse over a complex circular contour enclosing the origin. In this note we
show that, like their earlier proposal, this leads to mathematical and physical
inconsistencies and thus cannot be regarded as a basis for quantum cosmology.
We also comment on Vilenkin and Yamada's recent modification of the "tunneling"
proposal, made in order to avoid the same problems. We show that it leads to
the breakdown of perturbation theory in a strong coupling regime.
| [
{
"created": "Fri, 4 May 2018 05:15:13 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2018 15:39:01 GMT",
"version": "v2"
}
] | 2018-09-24 | [
[
"Feldbrugge",
"Job",
""
],
[
"Lehners",
"Jean-Luc",
""
],
[
"Turok",
"Neil",
""
]
] | In previous works, we have demonstrated that the path integral for {\it real, Lorentzian} four-geometries in Einstein gravity yields sensible results in well-understood physical situations, but leads to uncontrolled fluctuations when the "no boundary" condition proposed by Hartle and Hawking is imposed. In order to circumvent our result, new definitions for the gravitational path integral have been sought, involving specific choices for a class of {\it complex} four-geometries to be included. In their latest proposal, Diaz Dorronsoro {\it et al.}~\cite{DiazDorronsoro:2018wro} advocate integrating the lapse over a complex circular contour enclosing the origin. In this note we show that, like their earlier proposal, this leads to mathematical and physical inconsistencies and thus cannot be regarded as a basis for quantum cosmology. We also comment on Vilenkin and Yamada's recent modification of the "tunneling" proposal, made in order to avoid the same problems. We show that it leads to the breakdown of perturbation theory in a strong coupling regime. |
2010.14639 | J\'essica Martins | Jessica S. Martins, Oliver F. Piattella, Ilya L. Shapiro, Alexei A.
Starobinsky | Inflation with sterile scalar coupled to massive fermions and to gravity | Fits the version accepted in Gravitation and Cosmology | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the recent paper [3] it was shown that the consistency of the quantum
theory of a sterile scalar coupled to massive fermions requires the inclusion
of odd-power terms in the potential of scalar self-interaction. One of the most
important examples of a sterile scalar is the inflaton, that is typically a
real scalar field which does not belong to representations of particle physics
gauge groups, such as $SU(2)$. Here we explore the effects of the odd-power
terms in the inflaton potential on main observables, such as the scalar
spectral index $n_s$ and the tensor-to-scalar ratio $r$, in the case of a
strong, non-minimal coupling of the inflaton to gravity.
| [
{
"created": "Tue, 27 Oct 2020 22:01:21 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2021 19:55:07 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Nov 2021 02:52:57 GMT",
"version": "v3"
},
{
"created": "Sat, 23 Apr 2022 17:55:45 GMT",
"version": "v4"
}
] | 2022-04-26 | [
[
"Martins",
"Jessica S.",
""
],
[
"Piattella",
"Oliver F.",
""
],
[
"Shapiro",
"Ilya L.",
""
],
[
"Starobinsky",
"Alexei A.",
""
]
] | In the recent paper [3] it was shown that the consistency of the quantum theory of a sterile scalar coupled to massive fermions requires the inclusion of odd-power terms in the potential of scalar self-interaction. One of the most important examples of a sterile scalar is the inflaton, that is typically a real scalar field which does not belong to representations of particle physics gauge groups, such as $SU(2)$. Here we explore the effects of the odd-power terms in the inflaton potential on main observables, such as the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$, in the case of a strong, non-minimal coupling of the inflaton to gravity. |
1505.03974 | Rodrigo Bufalo | R. Bufalo | On the Bhabha scattering for $z=2$ Lifshitz QED | 10 pages | Int. J. Mod. Phys. A30, 1550086 (2015) | 10.1142/S0217751X15500864 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we compute and discuss the differential cross section of the
Bhabha scattering in the framework of the $z=2$ Lifshitz QED. We start by
constructing the classical solutions for the fermionic fields, in particular
the completeness relations, and also deriving the theory's propagators.
Afterwards, we compute the photon exchange and pair annihilation contributions
for the Bhabha's process, and upon the results we establish the magnitude of
the theory's free parameter by looking for small deviations of the QED tree
results.
| [
{
"created": "Fri, 15 May 2015 07:24:12 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Bufalo",
"R.",
""
]
] | In this paper we compute and discuss the differential cross section of the Bhabha scattering in the framework of the $z=2$ Lifshitz QED. We start by constructing the classical solutions for the fermionic fields, in particular the completeness relations, and also deriving the theory's propagators. Afterwards, we compute the photon exchange and pair annihilation contributions for the Bhabha's process, and upon the results we establish the magnitude of the theory's free parameter by looking for small deviations of the QED tree results. |
hep-th/9409010 | J. Adams | J.A. Adams and N. Tetradis | High Temperature Phase Transitions in Two-Scalar Theories with Large $N$
Techniques | 11 pages, LaTex, includes 5 uuencoded postscript figures, OUTP-94-11
P | Phys.Lett.B347:120-130,1995 | 10.1016/0370-2693(95)00044-L | null | hep-th | null | We consider a theory of a scalar one-component field $\phi$ coupled to a
scalar $N$-component field $\chi$. Using large $N$ techiques we calculate the
effective potential in the leading order in $1/N$. We show that this is
equivalent to a resummation of an infinite subclass of graphs in perturbation
theory, which involve fluctuations of the $\chi$ field only. We study the
temperature dependence of the expectation value of the $\phi$ field and the
resulting first and second order phase transitions.
| [
{
"created": "Fri, 2 Sep 1994 13:17:43 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Adams",
"J. A.",
""
],
[
"Tetradis",
"N.",
""
]
] | We consider a theory of a scalar one-component field $\phi$ coupled to a scalar $N$-component field $\chi$. Using large $N$ techiques we calculate the effective potential in the leading order in $1/N$. We show that this is equivalent to a resummation of an infinite subclass of graphs in perturbation theory, which involve fluctuations of the $\chi$ field only. We study the temperature dependence of the expectation value of the $\phi$ field and the resulting first and second order phase transitions. |
0711.4930 | Keiichi Ito R. | K.R.Ito, E.Seiler | On the recent paper on quark confinement by Tomboulis | 10 pages | null | null | null | hep-th hep-lat math-ph math.MP | null | We point out missing links in the recent paper by Tomboulis in which he
claims a rigorous proof of quark confinement in 4D lattice gauge theory. We
also discuss if it is possible to correct his proof.
| [
{
"created": "Fri, 30 Nov 2007 13:17:51 GMT",
"version": "v1"
}
] | 2007-12-05 | [
[
"Ito",
"K. R.",
""
],
[
"Seiler",
"E.",
""
]
] | We point out missing links in the recent paper by Tomboulis in which he claims a rigorous proof of quark confinement in 4D lattice gauge theory. We also discuss if it is possible to correct his proof. |
hep-th/0103181 | Neil Pomeroy | N. B. Pomeroy | Matching Exact Results and One-Instanton Predictions in N=2
Supersymmetric SU(N) Theories | 9 pages, LaTeX; reformatted | Phys.Lett. B510 (2001) 305-310 | 10.1016/S0370-2693(01)00528-7 | IPPP/01/12, DCPT/01/24 | hep-th | null | A one-instanton level test is performed for the proposed reparameterisation
scheme matching the conjectured exact low energy results and instanton
predictions for N=2 supersymmetric SU(N) gauge theories with 2N massless
fundamental matter hypermultiplets across the entire quantum moduli space. The
constants within the scheme which ensure agreement between the exact results
and the instanton predictions for general N are derived. This constitutes a
non-trivial test of the scheme, which eliminates the discrepancies arising when
the two sets of results are compared.
| [
{
"created": "Wed, 21 Mar 2001 21:48:04 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Pomeroy",
"N. B.",
""
]
] | A one-instanton level test is performed for the proposed reparameterisation scheme matching the conjectured exact low energy results and instanton predictions for N=2 supersymmetric SU(N) gauge theories with 2N massless fundamental matter hypermultiplets across the entire quantum moduli space. The constants within the scheme which ensure agreement between the exact results and the instanton predictions for general N are derived. This constitutes a non-trivial test of the scheme, which eliminates the discrepancies arising when the two sets of results are compared. |
hep-th/9603077 | Ralph Lano | R.P. Lano (The University of Iowa) | Gravitational Meissner Effect | Submitted to Phys. Rev. D | null | null | U.ofIowa96-4 | hep-th astro-ph gr-qc | null | The gravitational analogue of the electromagnetic Meissner effect is
investigated. Starting from the post-Newtonian approximation to general
relativity we arrive at gravitational London equations, predicting a
gravitational Meissner effect. Applied to neutron stars we arrive at a London
penetration depth of 12km, which is about the size of a neutron star.
| [
{
"created": "Tue, 12 Mar 1996 22:51:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lano",
"R. P.",
"",
"The University of Iowa"
]
] | The gravitational analogue of the electromagnetic Meissner effect is investigated. Starting from the post-Newtonian approximation to general relativity we arrive at gravitational London equations, predicting a gravitational Meissner effect. Applied to neutron stars we arrive at a London penetration depth of 12km, which is about the size of a neutron star. |
1103.5053 | P. S. Howe | J.Greitz, P.S. Howe | Maximal supergravity in D=10: forms, Borcherds algebras and superspace
cohomology | 15 pages. Published version. Some clarification of the text | JHEP 1108:146,2011 | 10.1007/JHEP08(2011)146 | KCL-MTH-11-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a very simple derivation of the forms of $N=2,D=10$ supergravity from
supersymmetry and $SL(2,\bbR)$ (for IIB). Using superspace cohomology we show
that, if the Bianchi identities for the physical fields are satisfied, the
(consistent) Bianchi identities for all of the higher-rank forms must be
identically satisfied, and that there are no possible gauge-trivial Bianchi
identities ($dF=0$) except for exact eleven-forms. We also show that the
degrees of the forms can be extended beyond the spacetime limit, and that the
representations they fall into agree with those predicted from Borcherds
algebras. In IIA there are even-rank RR forms, including a non-zero
twelve-form, while in IIB there are non-trivial Bianchi identities for
thirteen-forms even though these forms are identically zero in supergravity. It
is speculated that these higher-rank forms could be non-zero when higher-order
string corrections are included.
| [
{
"created": "Fri, 25 Mar 2011 18:07:02 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2011 18:12:16 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Apr 2012 12:57:37 GMT",
"version": "v3"
}
] | 2012-04-27 | [
[
"Greitz",
"J.",
""
],
[
"Howe",
"P. S.",
""
]
] | We give a very simple derivation of the forms of $N=2,D=10$ supergravity from supersymmetry and $SL(2,\bbR)$ (for IIB). Using superspace cohomology we show that, if the Bianchi identities for the physical fields are satisfied, the (consistent) Bianchi identities for all of the higher-rank forms must be identically satisfied, and that there are no possible gauge-trivial Bianchi identities ($dF=0$) except for exact eleven-forms. We also show that the degrees of the forms can be extended beyond the spacetime limit, and that the representations they fall into agree with those predicted from Borcherds algebras. In IIA there are even-rank RR forms, including a non-zero twelve-form, while in IIB there are non-trivial Bianchi identities for thirteen-forms even though these forms are identically zero in supergravity. It is speculated that these higher-rank forms could be non-zero when higher-order string corrections are included. |
hep-th/9207079 | null | P.H. Cox, B. Harms and Y. Leblanc | Dilatonic Black Holes, Naked Singularities and Strings | 8 pages, REVTEX | Europhys.Lett.26:321-326,1994 | 10.1209/0295-5075/26/5/001 | null | hep-th | null | We extend a previous calculation which treated Schwarschild black hole
horizons as quantum mechanical objects to the case of a charged, dilaton black
hole. We show that for a unique value of the dilaton parameter `a', which is
determined by the condition of unitarity of the S matrix, black holes transform
at the extremal limit into strings.
| [
{
"created": "Thu, 23 Jul 1992 20:38:30 GMT",
"version": "v1"
}
] | 2010-12-17 | [
[
"Cox",
"P. H.",
""
],
[
"Harms",
"B.",
""
],
[
"Leblanc",
"Y.",
""
]
] | We extend a previous calculation which treated Schwarschild black hole horizons as quantum mechanical objects to the case of a charged, dilaton black hole. We show that for a unique value of the dilaton parameter `a', which is determined by the condition of unitarity of the S matrix, black holes transform at the extremal limit into strings. |
0808.0761 | Hans Jockers | Hans Jockers and Masoud Soroush | Effective superpotentials for compact D5-brane Calabi-Yau geometries | 55 pages; v2: references added, typos corrected | Commun.Math.Phys.290:249-290,2009 | 10.1007/s00220-008-0727-7 | SU-ITP-08/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For compact Calabi-Yau geometries with D5-branes we study N=1 effective
superpotentials depending on both open- and closed-string fields. We develop
methods to derive the open/closed Picard-Fuchs differential equations, which
control D5-brane deformations as well as complex structure deformations of the
compact Calabi-Yau space. Their solutions encode the flat open/closed
coordinates and the effective superpotential. For two explicit examples of
compact D5-brane Calabi-Yau hypersurface geometries we apply our techniques and
express the calculated superpotentials in terms of flat open/closed
coordinates. By evaluating these superpotentials at their critical points we
reproduce the domain wall tensions that have recently appeared in the
literature. Finally we extract orbifold disk invariants from the
superpotentials, which, up to overall numerical normalizations, correspond to
orbifold disk Gromov-Witten invariants in the mirror geometry.
| [
{
"created": "Wed, 6 Aug 2008 02:13:21 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2008 16:36:23 GMT",
"version": "v2"
}
] | 2009-12-07 | [
[
"Jockers",
"Hans",
""
],
[
"Soroush",
"Masoud",
""
]
] | For compact Calabi-Yau geometries with D5-branes we study N=1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs differential equations, which control D5-brane deformations as well as complex structure deformations of the compact Calabi-Yau space. Their solutions encode the flat open/closed coordinates and the effective superpotential. For two explicit examples of compact D5-brane Calabi-Yau hypersurface geometries we apply our techniques and express the calculated superpotentials in terms of flat open/closed coordinates. By evaluating these superpotentials at their critical points we reproduce the domain wall tensions that have recently appeared in the literature. Finally we extract orbifold disk invariants from the superpotentials, which, up to overall numerical normalizations, correspond to orbifold disk Gromov-Witten invariants in the mirror geometry. |
hep-th/0602036 | Richard Szabo | Sam Halliday and Richard J. Szabo | Noncommutative Field Theory on Homogeneous Gravitational Waves | 44 pages; v2: References added | J.Phys.A39:5189-5226,2006 | 10.1088/0305-4470/39/18/030 | HWM-06-5, EMPG-06-02 | hep-th | null | We describe an algebraic approach to the time-dependent noncommutative
geometry of a six-dimensional Cahen-Wallach pp-wave string background supported
by a constant Neveu-Schwarz flux, and develop a general formalism to construct
and analyse quantum field theories defined thereon. Various star-products are
derived in closed explicit form and the Hopf algebra of twisted isometries of
the plane wave is constructed. Scalar field theories are defined using explicit
forms of derivative operators, traces and noncommutative frame fields for the
geometry, and various physical features are described. Noncommutative
worldvolume field theories of D-branes in the pp-wave background are also
constructed.
| [
{
"created": "Fri, 3 Feb 2006 16:58:35 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 09:51:43 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Halliday",
"Sam",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We describe an algebraic approach to the time-dependent noncommutative geometry of a six-dimensional Cahen-Wallach pp-wave string background supported by a constant Neveu-Schwarz flux, and develop a general formalism to construct and analyse quantum field theories defined thereon. Various star-products are derived in closed explicit form and the Hopf algebra of twisted isometries of the plane wave is constructed. Scalar field theories are defined using explicit forms of derivative operators, traces and noncommutative frame fields for the geometry, and various physical features are described. Noncommutative worldvolume field theories of D-branes in the pp-wave background are also constructed. |
1603.02653 | Kallosh Renata | Sergio Ferrara, Renata Kallosh, Antoine Van Proeyen, Timm Wrase | Linear Versus Non-linear Supersymmetry, in General | 24 p | JHEP 1604:065, 2016 | 10.1007/JHEP04(2016)065 | CERN-TH-2016-052, TUW-16-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study superconformal and supergravity models with constrained superfields.
The underlying version of such models with all unconstrained superfields and
linearly realized supersymmetry is presented here, in addition to the physical
multiplets there are Lagrange multiplier (LM) superfields. Once the equations
of motion for the LM superfields are solved, some of the physical superfields
become constrained. The linear supersymmetry of the original models becomes
non-linearly realized, its exact form can be deduced from the original linear
supersymmetry. Known examples of constrained superfields are shown to require
the following LM's: chiral superfields, linear superfields, general complex
superfields, some of them are multiplets with a spin.
| [
{
"created": "Tue, 8 Mar 2016 20:06:57 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2016 02:44:47 GMT",
"version": "v2"
}
] | 2016-08-29 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Van Proeyen",
"Antoine",
""
],
[
"Wrase",
"Timm",
""
]
] | We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical multiplets there are Lagrange multiplier (LM) superfields. Once the equations of motion for the LM superfields are solved, some of the physical superfields become constrained. The linear supersymmetry of the original models becomes non-linearly realized, its exact form can be deduced from the original linear supersymmetry. Known examples of constrained superfields are shown to require the following LM's: chiral superfields, linear superfields, general complex superfields, some of them are multiplets with a spin. |
0812.0596 | Jan Govaerts | Jan Govaerts (1,2,3), Olivier Mattelaer (1) ((1) CP3, UCL,
Louvain-la-Neuve, Belgium, (2) Fellow, Stellenbosch Institute for Advanced
Study, Stellenbosch, Rep. South Africa, (3) ICMPA-UNESCO, Cotonou, Rep.
Benin) | A Deformation of Quantum Dynamics through the Phase Space Path Integral | Contribution to the Proceedings of the Fifth International Workshop
on Contemporary Problems in Mathematical Physics, October 27 - November 2,
2007, Cotonou (Republic of Benin), 17 pages + 2 figures | null | null | CP3-08-63 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a regularised construction of the phase space path integral due to
Ingrid Daubechies and John Klauder which involves a time scale ultimately taken
to vanish, and motivated by the general programme towards a noncommutative
space(time) geometry, physical consequences of assuming this time parameter to
provide rather a new fundamental time scale are explored in the context of the
one dimensional harmonic oscillator. Some tantalising results are achieved,
which raise intriguing prospects when extrapolated to the quantum field theory
and gravitational contexts.
| [
{
"created": "Wed, 3 Dec 2008 15:04:21 GMT",
"version": "v1"
}
] | 2008-12-04 | [
[
"Govaerts",
"Jan",
""
],
[
"Mattelaer",
"Olivier",
""
]
] | Using a regularised construction of the phase space path integral due to Ingrid Daubechies and John Klauder which involves a time scale ultimately taken to vanish, and motivated by the general programme towards a noncommutative space(time) geometry, physical consequences of assuming this time parameter to provide rather a new fundamental time scale are explored in the context of the one dimensional harmonic oscillator. Some tantalising results are achieved, which raise intriguing prospects when extrapolated to the quantum field theory and gravitational contexts. |
1712.08656 | Luca Fabbri | Luca Fabbri, Roldao da Rocha | Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung,
Chirality and all that | 8 pages | Eur.Phys.J.C78:207(2018) | 10.1140/epjc/s10052-018-5706-3 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider propagating torsion as a completion of gravitation in order to
describe the dynamics of curved-twisted space-times filled with Dirac spinorial
fields; we discuss interesting relationships of the torsion axial vector and
the curvature tensor with the Yvon-Takabayashi angle and the module of the
spinor field, that is the two degrees of freedom of the spinor field itself: in
particular, we shall discuss in what way the torsion axial vector could be seen
as the potential of a specific interaction of the Yvon-Takabayashi angle, and
therefore as a force between the two chiral projections of the spinor field
itself. Chiral interactions of the components of a spinor may render effects of
zitterbewegung, as well as effective mass terms and other related features: we
shall briefly sketch some of the analogies and differences with the similar but
not identical situation given by the Yukawa interaction occurring in the Higgs
sector of the standard model. We will provide some overall considerations about
general consequences for contemporary physics, consequences that have never
been discussed before, so far as we are aware, in the present physics
literature.
| [
{
"created": "Fri, 22 Dec 2017 20:59:28 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Mar 2018 15:39:30 GMT",
"version": "v2"
}
] | 2018-03-19 | [
[
"Fabbri",
"Luca",
""
],
[
"da Rocha",
"Roldao",
""
]
] | We consider propagating torsion as a completion of gravitation in order to describe the dynamics of curved-twisted space-times filled with Dirac spinorial fields; we discuss interesting relationships of the torsion axial vector and the curvature tensor with the Yvon-Takabayashi angle and the module of the spinor field, that is the two degrees of freedom of the spinor field itself: in particular, we shall discuss in what way the torsion axial vector could be seen as the potential of a specific interaction of the Yvon-Takabayashi angle, and therefore as a force between the two chiral projections of the spinor field itself. Chiral interactions of the components of a spinor may render effects of zitterbewegung, as well as effective mass terms and other related features: we shall briefly sketch some of the analogies and differences with the similar but not identical situation given by the Yukawa interaction occurring in the Higgs sector of the standard model. We will provide some overall considerations about general consequences for contemporary physics, consequences that have never been discussed before, so far as we are aware, in the present physics literature. |
hep-th/0205032 | Filipe Freire | Filipe Freire | SU(2) Abelian projected action for renormalisation group flows | Talk presented at the NATO Advanced Research Workshop "Confinement,
Topology, and other Non-Perturbative Aspects of QCD", Jan. 21-27, 2002, Stara
Lesna, Slovakia. 8 pages, uses crckapb.sty | null | null | DIAS-STP-02-03 | hep-th hep-lat hep-ph | null | The dual Meissner effect scenario of confinement is analysed using exact
renormalisation group (ERG) equations. In particular, the low energy regime of
SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under
general conditions the effective action derived when integrated using ERG
methods contains the relevant degrees of freedom for confinement. In addition,
the physics in the confining regime is dual to that of the broken phase of an
Abelian Higgs model.
| [
{
"created": "Fri, 3 May 2002 18:27:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Freire",
"Filipe",
""
]
] | The dual Meissner effect scenario of confinement is analysed using exact renormalisation group (ERG) equations. In particular, the low energy regime of SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under general conditions the effective action derived when integrated using ERG methods contains the relevant degrees of freedom for confinement. In addition, the physics in the confining regime is dual to that of the broken phase of an Abelian Higgs model. |
hep-th/0310063 | Thorsten Leonhardt | Thorsten Leonhardt, Ruben Manvelyan and Werner Ruhl | The group approach to AdS space propagators: A fast algorithm | 14 pages, comment added | J.Phys. A37 (2004) 7051 | 10.1088/0305-4470/37/27/013 | null | hep-th | null | In this letter we show how the method of [4] for the calculation of two-point
functions in d+1-dimensional AdS space can be simplified. This results in an
algorithm for the evaluation of the two-point functions as linear combinations
of Legendre functions of the second kind. This algorithm can be easily
implemented on a computer. For the sake of illustration, we displayed the
results for the case of symmetric traceless tensor fields with rank up to l=4.
| [
{
"created": "Tue, 7 Oct 2003 12:06:27 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jan 2004 18:30:30 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Leonhardt",
"Thorsten",
""
],
[
"Manvelyan",
"Ruben",
""
],
[
"Ruhl",
"Werner",
""
]
] | In this letter we show how the method of [4] for the calculation of two-point functions in d+1-dimensional AdS space can be simplified. This results in an algorithm for the evaluation of the two-point functions as linear combinations of Legendre functions of the second kind. This algorithm can be easily implemented on a computer. For the sake of illustration, we displayed the results for the case of symmetric traceless tensor fields with rank up to l=4. |
1205.1115 | Thomas T. Dumitrescu | Thomas T. Dumitrescu, Guido Festuccia, and Nathan Seiberg | Exploring Curved Superspace | 39 pages; minor changes | null | 10.1007/JHEP08(2012)141 | PUPT-2414 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically analyze Riemannian manifolds M that admit rigid
supersymmetry, focusing on four-dimensional N=1 theories with a U(1)_R
symmetry. We find that M admits a single supercharge, if and only if it is a
Hermitian manifold. The supercharge transforms as a scalar on M. We then
consider the restrictions imposed by the presence of additional supercharges.
Two supercharges of opposite R-charge exist on certain fibrations of a
two-torus over a Riemann surface. Upon dimensional reduction, these give rise
to an interesting class of supersymmetric geometries in three dimensions. We
further show that compact manifolds admitting two supercharges of equal
R-charge must be hyperhermitian. Finally, four supercharges imply that M is
locally isometric to M_3 x R, where M_3 is a maximally symmetric space.
| [
{
"created": "Sat, 5 May 2012 09:08:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jun 2012 18:41:33 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We systematically analyze Riemannian manifolds M that admit rigid supersymmetry, focusing on four-dimensional N=1 theories with a U(1)_R symmetry. We find that M admits a single supercharge, if and only if it is a Hermitian manifold. The supercharge transforms as a scalar on M. We then consider the restrictions imposed by the presence of additional supercharges. Two supercharges of opposite R-charge exist on certain fibrations of a two-torus over a Riemann surface. Upon dimensional reduction, these give rise to an interesting class of supersymmetric geometries in three dimensions. We further show that compact manifolds admitting two supercharges of equal R-charge must be hyperhermitian. Finally, four supercharges imply that M is locally isometric to M_3 x R, where M_3 is a maximally symmetric space. |
hep-th/0403096 | Jin Young Kim | Jin Young Kim | Late time evolution of brane gas cosmology and compact internal
dimensions | 16 pages, typos, references, comment on the possibility of
stabilizing the internal dimensions with fluxes | Phys.Rev. D70 (2004) 104024 | 10.1103/PhysRevD.70.104024 | null | hep-th | null | We study the late-time behavior of a universe in the framework of brane gas
cosmology. We investigate the evolution of a universe with a gas of
supergravity particles and a gas of branes. Considering the case when different
dimensions are anisotropically wrapped by various branes, we have derived
Friedman-like equations governing the dynamics of wrapped and unwrapped
subvolumes. We point out that the compact internal dimensions are wrapped by
three or higher dimensional branes.
| [
{
"created": "Tue, 9 Mar 2004 02:08:07 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Mar 2004 19:39:00 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Oct 2004 00:30:55 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Kim",
"Jin Young",
""
]
] | We study the late-time behavior of a universe in the framework of brane gas cosmology. We investigate the evolution of a universe with a gas of supergravity particles and a gas of branes. Considering the case when different dimensions are anisotropically wrapped by various branes, we have derived Friedman-like equations governing the dynamics of wrapped and unwrapped subvolumes. We point out that the compact internal dimensions are wrapped by three or higher dimensional branes. |
hep-th/0208192 | Luis F. Urrutia | J. Alfaro, H.A. Morales-Tecotl and L.F. Urrutia | Quantum gravity and spin 1/2 particles effective dynamics | 48 pages, latex | Phys.Rev. D66 (2002) 124006 | 10.1103/PhysRevD.66.124006 | ICN-HEP-02-05 | hep-th gr-qc | null | Quantum gravity phenomenology opens up the possibility of probing Planck
scale physics. Thus, by exploiting the generic properties that a semiclassical
state of the compound system fermions plus gravity should have, an effective
dynamics of spin-1/2 particles is obtained within the framework of loop quantum
gravity. Namely, at length scales much larger than Planck length and below the
wave length of the fermion, the spin-1/2 dynamics in flat spacetime includes
Planck scale corrections. In particular we obtain modified dispersion relations
in vacuo for fermions. These corrections yield a time of arrival delay of the
spin 1/2 particles with respect to a light signal and, in the case of
neutrinos, a novel flavor oscillation. To detect these effects the
corresponding particles must be highly energetic and should travel long
distances. Hence Neutrino Bursts accompanying Gamma Ray Bursts or ultra high
energy cosmic rays could be considered. Remarkably, future neutrino telescopes
may be capable to test such effects. This paper provides a detailed account of
the calculations and elaborates on results previously reported in a Letter.
These are further amended by introducing a real parameter Upsilon aimed at
encoding our lack of knowledge of scaling properties of the gravitational
degrees of freedom.
| [
{
"created": "Tue, 27 Aug 2002 00:18:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Alfaro",
"J.",
""
],
[
"Morales-Tecotl",
"H. A.",
""
],
[
"Urrutia",
"L. F.",
""
]
] | Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plus gravity should have, an effective dynamics of spin-1/2 particles is obtained within the framework of loop quantum gravity. Namely, at length scales much larger than Planck length and below the wave length of the fermion, the spin-1/2 dynamics in flat spacetime includes Planck scale corrections. In particular we obtain modified dispersion relations in vacuo for fermions. These corrections yield a time of arrival delay of the spin 1/2 particles with respect to a light signal and, in the case of neutrinos, a novel flavor oscillation. To detect these effects the corresponding particles must be highly energetic and should travel long distances. Hence Neutrino Bursts accompanying Gamma Ray Bursts or ultra high energy cosmic rays could be considered. Remarkably, future neutrino telescopes may be capable to test such effects. This paper provides a detailed account of the calculations and elaborates on results previously reported in a Letter. These are further amended by introducing a real parameter Upsilon aimed at encoding our lack of knowledge of scaling properties of the gravitational degrees of freedom. |
hep-th/9807225 | Michael Douglas | Michael R. Douglas and Washington Taylor IV | Branes in the bulk of Anti-de Sitter space | latex, 8 pp. (v2) Added references and a comment on other base
spaces. (v3) fixed sign error | null | null | PUPT-1806, RU-98-32 | hep-th | null | We consider (3 + 1)-dimensional N=4 super Yang-Mills theory with a
nonvanishing scalar Higgs vacuum expectation value, and compare this theory to
AdS supergravity with branes in the bulk. We show that the one-loop effective
potential for excitations of the Yang-Mills field agrees with the classical
linearized potential for brane waves in the AdS picture in the limit of long
wavelengths. This supports the idea that the AdS/CFT correspondance fits into
string theory as expected from previous work.
| [
{
"created": "Wed, 29 Jul 1998 21:42:26 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jul 1998 17:27:02 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Aug 1998 19:55:11 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Douglas",
"Michael R.",
""
],
[
"Taylor",
"Washington",
"IV"
]
] | We consider (3 + 1)-dimensional N=4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for excitations of the Yang-Mills field agrees with the classical linearized potential for brane waves in the AdS picture in the limit of long wavelengths. This supports the idea that the AdS/CFT correspondance fits into string theory as expected from previous work. |
hep-th/0610089 | DaeKil Park | Eylee Jung, D. K. Park | Bulk versus Brane Emissivities of Photon Fields: For the case of
Higher-Dimensional Schwarzschild Phase | 22 pages, 10 eps figures included in the text V2: mistyping is
corrected in reference and text. one more reference is added. Table is
updated. version to appear in NPB V3: REVTEX4 format (no change) | Nucl.Phys.B766:269-283,2007 | 10.1016/j.nuclphysb.2007.01.002 | null | hep-th | null | The emission spectra for the spin-1 photon fields are computed when the
spacetime is a $(4+n)$-dimensional Schwarzschild phase. For the case of the
bulk emission we compute the spectra for the vector mode and scalar mode
separately. Although the emissivities for the scalar mode is larger than those
for the vector mode when $n$ is small, the emissivities for the vector mode
photon become dominant rapidly with increasing $n$. For the case of the brane
emission the emission spectra are numerically computed by making use of the
complex potential method. Comparision of the total bulk emissivities with total
brane emissivities indicates that the effect of the field spin makes the bulk
emission to be rapidly dominant with increasing $n$. However, the bulk-to-brane
relative emissivity per degree of freedom always remains smaller than unity.
The importance for the spin-2 graviton emission problem is discussed.
| [
{
"created": "Mon, 9 Oct 2006 03:46:25 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jan 2007 13:54:09 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Jan 2007 09:33:28 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Jung",
"Eylee",
""
],
[
"Park",
"D. K.",
""
]
] | The emission spectra for the spin-1 photon fields are computed when the spacetime is a $(4+n)$-dimensional Schwarzschild phase. For the case of the bulk emission we compute the spectra for the vector mode and scalar mode separately. Although the emissivities for the scalar mode is larger than those for the vector mode when $n$ is small, the emissivities for the vector mode photon become dominant rapidly with increasing $n$. For the case of the brane emission the emission spectra are numerically computed by making use of the complex potential method. Comparision of the total bulk emissivities with total brane emissivities indicates that the effect of the field spin makes the bulk emission to be rapidly dominant with increasing $n$. However, the bulk-to-brane relative emissivity per degree of freedom always remains smaller than unity. The importance for the spin-2 graviton emission problem is discussed. |
2109.01834 | Katarzyna Ole\'s | C. Adam, D. Ciurla, K. Oles, T. Romanczukiewicz, A. Wereszczynski | Sphalerons and resonance phenomenon in kink-antikink collisions | 12 pages, 6 figures | null | 10.1103/PhysRevD.104.105022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in some kink-antikink (KAK) collisions sphalerons, i.e.,
unstable static solutions - rather than the asymptotic free soliton states -
can be the source of the internal degrees of freedom (normal modes) which
trigger the resonance phenomenon responsible for the fractal structure in the
final state formation.
| [
{
"created": "Sat, 4 Sep 2021 10:07:12 GMT",
"version": "v1"
}
] | 2021-12-15 | [
[
"Adam",
"C.",
""
],
[
"Ciurla",
"D.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | We show that in some kink-antikink (KAK) collisions sphalerons, i.e., unstable static solutions - rather than the asymptotic free soliton states - can be the source of the internal degrees of freedom (normal modes) which trigger the resonance phenomenon responsible for the fractal structure in the final state formation. |
2204.01177 | Bernard S. Kay | Bernard S. Kay (York) | A product picture for quantum electrodynamics | 15 pages, no figures. V2: Subsection on Yang-Mills corrected and
rewritten, minor improvements elsewhere. V3: minor corrections. V4: A few
typos corrected. Version to appear in the special collection "Celebrating Sir
Roger Penrose's Nobel Prize" [AVS Quantum Science, Guest Editors: Ivette
Fuentes and Hendrik Ulbricht] | null | 10.1116/5.0085813 | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We present a short account of our work to provide quantum electrodynamics
with a 'product picture'. It aims to complement the longer exposition in a
recent paper in 'Foundations of Physics' and to help to make that work more
accessible. The product picture is a formulation of QED, equivalent to standard
Coulomb gauge QED, but in which the Hilbert space arises as (a certain physical
subspace of) a product of a Hilbert space for the electromagnetic field and a
Hilbert space for charged matter (i.e. the Dirac field) and in which the
Hamiltonian arises as the sum of an electromagnetic Hamiltonian and a charged
matter Hamiltonian and an interaction term. (The Coulomb gauge formulation of
QED is not a product picture because, in it, the longitudinal part of the
electromagnetic field is made out of charged matter operators.) We also recall
a 'Contradictory Commutator Theorem' for QED which exposes flaws in previous
attempts at temporal gauge quantization of QED and we explain how our product
picture appears to offer a way to overcome those flaws. Additionally, we
discuss the extent to which that theorem generalizes to Yang-Mills fields. We
also develop a product picture for nonrelativistic charged particles in
interaction with the electromagnetic field and point out how this leads to a
novel way of thinking about the theory of many nonrelativistic electrically
charged particles with Coulomb interactions. We explain how the provision of a
product picture for QED gives hope that one will be able likewise to have a
product picture for (Yang Mills and) quantum gravity -- the latter being needed
to make sense of the author's 'matter-gravity entanglement hypothesis'. In an
afterword, we briefly discuss similarities and differences between that
hypothesis and its predictions and ideas of Roger Penrose related to a possible
role of gravity in quantum state reduction and to cosmological entropy.
| [
{
"created": "Sun, 3 Apr 2022 22:59:52 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Apr 2022 20:55:38 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jun 2022 22:52:58 GMT",
"version": "v3"
},
{
"created": "Sat, 2 Jul 2022 09:41:59 GMT",
"version": "v4"
}
] | 2024-06-19 | [
[
"Kay",
"Bernard S.",
"",
"York"
]
] | We present a short account of our work to provide quantum electrodynamics with a 'product picture'. It aims to complement the longer exposition in a recent paper in 'Foundations of Physics' and to help to make that work more accessible. The product picture is a formulation of QED, equivalent to standard Coulomb gauge QED, but in which the Hilbert space arises as (a certain physical subspace of) a product of a Hilbert space for the electromagnetic field and a Hilbert space for charged matter (i.e. the Dirac field) and in which the Hamiltonian arises as the sum of an electromagnetic Hamiltonian and a charged matter Hamiltonian and an interaction term. (The Coulomb gauge formulation of QED is not a product picture because, in it, the longitudinal part of the electromagnetic field is made out of charged matter operators.) We also recall a 'Contradictory Commutator Theorem' for QED which exposes flaws in previous attempts at temporal gauge quantization of QED and we explain how our product picture appears to offer a way to overcome those flaws. Additionally, we discuss the extent to which that theorem generalizes to Yang-Mills fields. We also develop a product picture for nonrelativistic charged particles in interaction with the electromagnetic field and point out how this leads to a novel way of thinking about the theory of many nonrelativistic electrically charged particles with Coulomb interactions. We explain how the provision of a product picture for QED gives hope that one will be able likewise to have a product picture for (Yang Mills and) quantum gravity -- the latter being needed to make sense of the author's 'matter-gravity entanglement hypothesis'. In an afterword, we briefly discuss similarities and differences between that hypothesis and its predictions and ideas of Roger Penrose related to a possible role of gravity in quantum state reduction and to cosmological entropy. |
1908.03998 | Sean McBride | Donald Marolf, Sean McBride | Simple Perturbatively Traversable Wormholes from Bulk Fermions | 30 pages, 5 figures | JHEP11(2019)037 | 10.1007/JHEP11(2019)037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new class of traversable wormholes was recently constructed which relies
only on local bulk dynamics rather than an explicit coupling between distinct
boundaries. Here we begin with a four-dimensional Weyl fermion field of any
mass $m$ propagating on a classical background defined by a ${\mathbb Z}_2$
quotient of (rotating) BTZ $\times \, S^1$. This setup allows one to compute
the fermion stress-energy tensor exactly. For appropriate boundary conditions
around a non-contractible curve, perturbative back-reaction at any $m$ renders
the associated wormhole traversable and suggests it can become eternally
traversable at the limit where the background becomes extremal. A key technical
step is the proper formulation of the method of images for fermions in curved
spacetime. We find the stress-energy of spinor fields to have important
kinematic differences from that of scalar fields, typically causing the sign of
the integrated null stress-energy (and thus in many cases the sign of the time
delay/advance) to vary around the throat of the wormhole. Similar effects may
arise for higher-spin fields.
| [
{
"created": "Mon, 12 Aug 2019 04:37:51 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Nov 2019 19:44:17 GMT",
"version": "v2"
}
] | 2019-11-15 | [
[
"Marolf",
"Donald",
""
],
[
"McBride",
"Sean",
""
]
] | A new class of traversable wormholes was recently constructed which relies only on local bulk dynamics rather than an explicit coupling between distinct boundaries. Here we begin with a four-dimensional Weyl fermion field of any mass $m$ propagating on a classical background defined by a ${\mathbb Z}_2$ quotient of (rotating) BTZ $\times \, S^1$. This setup allows one to compute the fermion stress-energy tensor exactly. For appropriate boundary conditions around a non-contractible curve, perturbative back-reaction at any $m$ renders the associated wormhole traversable and suggests it can become eternally traversable at the limit where the background becomes extremal. A key technical step is the proper formulation of the method of images for fermions in curved spacetime. We find the stress-energy of spinor fields to have important kinematic differences from that of scalar fields, typically causing the sign of the integrated null stress-energy (and thus in many cases the sign of the time delay/advance) to vary around the throat of the wormhole. Similar effects may arise for higher-spin fields. |
hep-th/9405115 | Gustavo DaCosta | G.A.T.F.da Costa and L.O'Raifeartaigh | Non-Trivial Non-Canonical W-Algebras from Kac-Moody Reductions | 12 pages,Tex,DIAS-STP-94-19 | Phys.Lett. B333 (1994) 353-363 | 10.1016/0370-2693(94)90154-6 | null | hep-th | null | By reducing a split $G_2$ Kac-Moody algebra by a non-maximal set of
first-class constraints we produce W-algebras which (i) contain fields of
negative conformal spin and (ii) are not trivial extensions of canonical
W-algebras.
| [
{
"created": "Wed, 18 May 1994 15:37:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"da Costa",
"G. A. T. F.",
""
],
[
"O'Raifeartaigh",
"L.",
""
]
] | By reducing a split $G_2$ Kac-Moody algebra by a non-maximal set of first-class constraints we produce W-algebras which (i) contain fields of negative conformal spin and (ii) are not trivial extensions of canonical W-algebras. |
hep-th/9901068 | Angelo Galante | Vicente Azcoiti, Angelo Galante | Parity and CT realization in QCD | 11 pages. Some comments added in the conclusions; final version to
appear in Phys. Rev. Lett | Phys.Rev.Lett. 83 (1999) 1518-1520 | 10.1103/PhysRevLett.83.1518 | DFTUZ 98/34 | hep-th hep-lat | null | We show that an essential assumption in the Vafa and Witten's theorem on P
and CT realization in vector-like theories, the existence of a free energy
density in Euclidean space in the presence of any external hermitian symmetry
breaking source, does not apply if the symmetry is spontaneously broken. The
assumption that the free energy density is well defined requires the previous
assumption that the symmetry is realized in the vacuum. Even if Vafa and
Witten's conjecture is plausible, actually a theorem is still lacking.
| [
{
"created": "Sun, 17 Jan 1999 14:36:16 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 1999 17:42:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Azcoiti",
"Vicente",
""
],
[
"Galante",
"Angelo",
""
]
] | We show that an essential assumption in the Vafa and Witten's theorem on P and CT realization in vector-like theories, the existence of a free energy density in Euclidean space in the presence of any external hermitian symmetry breaking source, does not apply if the symmetry is spontaneously broken. The assumption that the free energy density is well defined requires the previous assumption that the symmetry is realized in the vacuum. Even if Vafa and Witten's conjecture is plausible, actually a theorem is still lacking. |
2209.08019 | Dmitry Kazakov | D. I. Kazakov, R.M. Iakhibbaev and D. M. Tolkachev | Leading all-loop quantum contribution to the effective potential in
general scalar field theory | 16 pages, 11 figures, Latex | null | 10.1007/JHEP04(2023)128 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | The RG equation for the effective potential in the leading log (LL)
approximation is constructed which is valid for an arbitrary scalar field
theory in 4 dimensions. The solution to this equation sums up the leading
$\log\phi$ contributions to all orders of perturbation theory. In general, this
is the second order nonlinear partial differential equation, but in some cases
it can be reduced to the ordinary one. For particular examples, this equation
is solved numerically and the LL effective potential is constructed. The
solution has a characteristic discontinuity replacing the Landau pole typical
for the $\phi^4$ theory. For a power-like potential no new minima appear due to
the Coleman-Weinberg mechanism.
| [
{
"created": "Fri, 16 Sep 2022 16:05:02 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2023 09:41:01 GMT",
"version": "v2"
}
] | 2023-05-17 | [
[
"Kazakov",
"D. I.",
""
],
[
"Iakhibbaev",
"R. M.",
""
],
[
"Tolkachev",
"D. M.",
""
]
] | The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading $\log\phi$ contributions to all orders of perturbation theory. In general, this is the second order nonlinear partial differential equation, but in some cases it can be reduced to the ordinary one. For particular examples, this equation is solved numerically and the LL effective potential is constructed. The solution has a characteristic discontinuity replacing the Landau pole typical for the $\phi^4$ theory. For a power-like potential no new minima appear due to the Coleman-Weinberg mechanism. |
hep-th/9705207 | Dmitri Fursaev | V.P. Frolov and D.V. Fursaev | Plenty of Nothing: Black Hole Entropy in Induced Gravity | 5 pages, latex file, no figures | null | null | Alberta Thy 10-97 | hep-th | null | We demonstrate how Sakharov's idea of induced gravity allows one to explain
the statistical-mechanical origin of the entropy of a black hole. According to
this idea, gravity becomes dynamical as the result of quantum effects in the
system of heavy constituents of the underlying theory. The black hole entropy
is related to the properties of the vacuum in the induced gravity in the
presence of the horizon. We obtain the Bekenstein-Hawking entropy by direct
counting the states of the constituents.
| [
{
"created": "Tue, 27 May 1997 18:21:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Frolov",
"V. P.",
""
],
[
"Fursaev",
"D. V.",
""
]
] | We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system of heavy constituents of the underlying theory. The black hole entropy is related to the properties of the vacuum in the induced gravity in the presence of the horizon. We obtain the Bekenstein-Hawking entropy by direct counting the states of the constituents. |
0710.2291 | Burkhard Kleihaus | Burkhard Kleihaus, Jutta Kunz, Francisco Navarro-Lerida | Rotating Black Holes in Higher Dimensions | Small errors corrected | AIPConf.Proc.977:94-115,2008 | 10.1063/1.2902801 | null | hep-th | null | The properties of higher-dimensional black holes can differ significantly
from those of black holes in four dimensions, since neither the uniqueness
theorem, nor the staticity theorem or the topological censorship theorem
generalize to higher dimensions. We first discuss black holes of
Einstein-Maxwell theory and Einstein-Maxwell-Chern-Simons theory with spherical
horizon topology. Here new types of stationary black holes are encountered. We
then discuss nonuniform black strings and present evidence for a horizon
topology changing transition.
| [
{
"created": "Thu, 11 Oct 2007 16:32:01 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2007 12:31:01 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Nov 2007 17:47:01 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Navarro-Lerida",
"Francisco",
""
]
] | The properties of higher-dimensional black holes can differ significantly from those of black holes in four dimensions, since neither the uniqueness theorem, nor the staticity theorem or the topological censorship theorem generalize to higher dimensions. We first discuss black holes of Einstein-Maxwell theory and Einstein-Maxwell-Chern-Simons theory with spherical horizon topology. Here new types of stationary black holes are encountered. We then discuss nonuniform black strings and present evidence for a horizon topology changing transition. |
1711.06684 | Dan Xie | Dan Xie, Ke Ye | Argyres-Douglas matter and S-duality: Part II | 56 pages, 13 figures | null | 10.1007/JHEP03(2018)186 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study S-duality of Argyres-Douglas theories obtained by compactification
of 6d (2,0) theories of ADE type on a sphere with irregular punctures. The
weakly coupled descriptions are given by the degeneration limit of auxiliary
Riemann sphere with marked points, among which three punctured sphere
represents isolated superconformal theories. We also discuss twisted irregular
punctures and their S-duality.
| [
{
"created": "Fri, 17 Nov 2017 19:00:02 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Xie",
"Dan",
""
],
[
"Ye",
"Ke",
""
]
] | We study S-duality of Argyres-Douglas theories obtained by compactification of 6d (2,0) theories of ADE type on a sphere with irregular punctures. The weakly coupled descriptions are given by the degeneration limit of auxiliary Riemann sphere with marked points, among which three punctured sphere represents isolated superconformal theories. We also discuss twisted irregular punctures and their S-duality. |
2205.05665 | Alexander Yan | A.N. Yan | AdS$_3$/AdS$_2$ degression of Fronsdal fields | v2: 24 pages, Appendix E added, typos fixed | null | 10.1016/j.nuclphysb.2022.115973 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We analyze the Kaluza-Klein type procedure in AdS$_3$ space called the
dimensional degression. The topological theory of the Fronsdal field in AdS$_3$
is reformulated in terms of the fields propagating in AdS$_2$. We find that the
Fronsdal field in AdS$_3$ leads to finitely many Kaluza-Klein modes. Namely,
the obtained spectrum is the massive Klein-Gordon and Proca fields in AdS$_2$.
The result is derived by using the specific mode expansion, the gauge fixing,
and 2-dimensional Schouten identities.
| [
{
"created": "Wed, 11 May 2022 17:48:48 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jul 2022 12:04:20 GMT",
"version": "v2"
}
] | 2022-10-19 | [
[
"Yan",
"A. N.",
""
]
] | We analyze the Kaluza-Klein type procedure in AdS$_3$ space called the dimensional degression. The topological theory of the Fronsdal field in AdS$_3$ is reformulated in terms of the fields propagating in AdS$_2$. We find that the Fronsdal field in AdS$_3$ leads to finitely many Kaluza-Klein modes. Namely, the obtained spectrum is the massive Klein-Gordon and Proca fields in AdS$_2$. The result is derived by using the specific mode expansion, the gauge fixing, and 2-dimensional Schouten identities. |
0708.2649 | Pulak Ranjan Giri | Pulak Ranjan Giri | Quantization of neutron in Earth's gravity | 2 pages, revtex, references added | null | null | SINP/TNP/2007/24 | hep-th quant-ph | null | Gravity is the weakest of all four known forces in the universe. Quantum
states of an elementary particle due to such a weak field is certainly very
shallow and would therefore be an experimental challenge to detect. Recently an
experimental attempt was made by V. V. Nesvizhevsky et al., Nature 415, 297
(2002), to measure the quantum states of a neutron, which shows that ground
state and few excited states are \sim 10^{-12}eV. We show that the energy of
the ground state of a neutron confined above Earth's surface should be \sim
10^{-37}eV. The experimentally observed energy levels are 10^{25} times deeper
than the actual energy levels it should be and thus certainly not due to
gravitational effect of Earth. Therefore the correct interpretation for the
painstaking experimental results of Ref. \cite{nes1} is due to the confinement
potential of a one dimensional box of length L \sim 50\mu m, generated from the
experimental setup as commented before \cite{hansoon}. Our results thus creates
a new challenge to the experimentalist to resolve the shallow energy levels of
the neutron in Earth's gravitational field in future.
| [
{
"created": "Mon, 20 Aug 2007 12:57:17 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2007 14:18:45 GMT",
"version": "v2"
}
] | 2007-08-22 | [
[
"Giri",
"Pulak Ranjan",
""
]
] | Gravity is the weakest of all four known forces in the universe. Quantum states of an elementary particle due to such a weak field is certainly very shallow and would therefore be an experimental challenge to detect. Recently an experimental attempt was made by V. V. Nesvizhevsky et al., Nature 415, 297 (2002), to measure the quantum states of a neutron, which shows that ground state and few excited states are \sim 10^{-12}eV. We show that the energy of the ground state of a neutron confined above Earth's surface should be \sim 10^{-37}eV. The experimentally observed energy levels are 10^{25} times deeper than the actual energy levels it should be and thus certainly not due to gravitational effect of Earth. Therefore the correct interpretation for the painstaking experimental results of Ref. \cite{nes1} is due to the confinement potential of a one dimensional box of length L \sim 50\mu m, generated from the experimental setup as commented before \cite{hansoon}. Our results thus creates a new challenge to the experimentalist to resolve the shallow energy levels of the neutron in Earth's gravitational field in future. |
1209.3003 | Diederik Roest | Andrea Borghese, Adolfo Guarino, Diederik Roest | All G_2 invariant critical points of maximal supergravity | 5 pages. v2: extended discussion of vector masses and gauge groups
and refs added | null | 10.1007/JHEP12(2012)108 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform an exhaustive classification of G_2 invariant extrema of the most
general gauged N=8 supergravity in four dimensions. They comprise four branches
of Anti-de Sitter solutions labelled by a single parameter. Interestingly,
while the gauge groups vary with the parameters, the mass spectra are
invariant. One of these is a new non-supersymmetric yet stable point. Our
analysis includes the recently proposed family of SO(8) gauged supergravities
and more.
| [
{
"created": "Thu, 13 Sep 2012 19:37:07 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2012 09:10:36 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Borghese",
"Andrea",
""
],
[
"Guarino",
"Adolfo",
""
],
[
"Roest",
"Diederik",
""
]
] | We perform an exhaustive classification of G_2 invariant extrema of the most general gauged N=8 supergravity in four dimensions. They comprise four branches of Anti-de Sitter solutions labelled by a single parameter. Interestingly, while the gauge groups vary with the parameters, the mass spectra are invariant. One of these is a new non-supersymmetric yet stable point. Our analysis includes the recently proposed family of SO(8) gauged supergravities and more. |
hep-th/9910178 | null | Allen C. Hirshfeld (University of Dortmund), Thomas Schwarzweller
(University of Dortmund) | Path integral quantization of the Poisson-Sigma model | 20 pages (AmsTex), added references | AnnalenPhys.9:83-101,2000 | 10.1002/(SICI)1521-3889(200002)9:2<83::AID-ANDP83>3.0.CO;2-S | null | hep-th | null | We apply the antifield quantization method of Batalin and Vilkovisky to the
calculation of the path integral for the Poisson-Sigma model in a general
gauge. For a linear Poisson structure the model reduces to a nonabelian gauge
theory, and we obtain the formula for the partition function of two-dimensional
Yang-Mills theory for closed two-dimensional manifolds.
| [
{
"created": "Fri, 22 Oct 1999 13:37:07 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2000 15:09:19 GMT",
"version": "v2"
}
] | 2017-09-27 | [
[
"Hirshfeld",
"Allen C.",
"",
"University of Dortmund"
],
[
"Schwarzweller",
"Thomas",
"",
"University of Dortmund"
]
] | We apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson-Sigma model in a general gauge. For a linear Poisson structure the model reduces to a nonabelian gauge theory, and we obtain the formula for the partition function of two-dimensional Yang-Mills theory for closed two-dimensional manifolds. |
1411.1099 | Simone Giombi | Lin Fei, Simone Giombi, Igor R. Klebanov, Grigory Tarnopolsky | Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$
Dimensions | 34 pages, 9 figures. Some improvements and references added | Phys. Rev. D 91, 045011 (2015) | 10.1103/PhysRevD.91.045011 | PUPT-2474 | hep-th cond-mat.stat-mech hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study, initiated in arXiv:1404.1094, of the $O(N)$ symmetric
theory of $N+1$ massless scalar fields in $6-\epsilon$ dimensions. This theory
has cubic interaction terms $\frac{1}{2}g_1 \sigma (\phi^i)^2 + \frac{1}{6}g_2
\sigma^3$. We calculate the 3-loop beta functions for the two couplings and use
them to determine certain operator scaling dimensions at the IR stable fixed
point up to order $\epsilon^3$. We also use the beta functions to determine the
corrections to the critical value of $N$ below which there is no fixed point at
real couplings. The result suggests a very significant reduction in the
critical value as the dimension is decreased to $5$. We also study the theory
with $N=1$, which has a $Z_2$ symmetry under $\phi\rightarrow -\phi$. We show
that it possesses an IR stable fixed point at imaginary couplings which can be
reached by flow from a nearby fixed point describing a pair of $N=0$ theories.
We calculate certain operator scaling dimensions at the IR fixed point of the
$N=1$ theory and suggest that, upon continuation to two dimensions, it
describes a non-unitary conformal minimal model.
| [
{
"created": "Tue, 4 Nov 2014 22:14:25 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2014 19:22:53 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Dec 2014 20:55:15 GMT",
"version": "v3"
}
] | 2015-03-05 | [
[
"Fei",
"Lin",
""
],
[
"Giombi",
"Simone",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] | We continue the study, initiated in arXiv:1404.1094, of the $O(N)$ symmetric theory of $N+1$ massless scalar fields in $6-\epsilon$ dimensions. This theory has cubic interaction terms $\frac{1}{2}g_1 \sigma (\phi^i)^2 + \frac{1}{6}g_2 \sigma^3$. We calculate the 3-loop beta functions for the two couplings and use them to determine certain operator scaling dimensions at the IR stable fixed point up to order $\epsilon^3$. We also use the beta functions to determine the corrections to the critical value of $N$ below which there is no fixed point at real couplings. The result suggests a very significant reduction in the critical value as the dimension is decreased to $5$. We also study the theory with $N=1$, which has a $Z_2$ symmetry under $\phi\rightarrow -\phi$. We show that it possesses an IR stable fixed point at imaginary couplings which can be reached by flow from a nearby fixed point describing a pair of $N=0$ theories. We calculate certain operator scaling dimensions at the IR fixed point of the $N=1$ theory and suggest that, upon continuation to two dimensions, it describes a non-unitary conformal minimal model. |
1210.6057 | Alba Grassi | Sayantani Bhattacharyya, Alba Grassi, Marcos Marino, Ashoke Sen | A One-Loop Test of Quantum Supergravity | 12 pages, accepted for publication in Classical and Quantum Gravity | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partition function on the three-sphere of ABJM theory and its
generalizations has, at large N, a universal, subleading logarithmic term.
Inspired by the success of one-loop quantum gravity for computing the
logarithmic corrections to black hole entropy, we try to reproduce this
universal term by a one-loop calculation in Euclidean eleven-dimensional
supergravity on AdS_4 \times X_7. We find perfect agreement between the results
of ABJM theory and the eleven dimensional supergravity.
| [
{
"created": "Mon, 22 Oct 2012 20:26:09 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2013 12:12:22 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Oct 2013 19:42:16 GMT",
"version": "v3"
}
] | 2013-10-25 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Grassi",
"Alba",
""
],
[
"Marino",
"Marcos",
""
],
[
"Sen",
"Ashoke",
""
]
] | The partition function on the three-sphere of ABJM theory and its generalizations has, at large N, a universal, subleading logarithmic term. Inspired by the success of one-loop quantum gravity for computing the logarithmic corrections to black hole entropy, we try to reproduce this universal term by a one-loop calculation in Euclidean eleven-dimensional supergravity on AdS_4 \times X_7. We find perfect agreement between the results of ABJM theory and the eleven dimensional supergravity. |
1312.1621 | Richard Szabo | Dionysios Mylonas, Peter Schupp and Richard J. Szabo | Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative
Quantum Mechanics | 38 pages; v2: typos corrected, reference added; v3: typos corrected,
comments about cyclicity added in section 4.2, references updated; Final
version to be published in Journal of Mathematical Physics | null | 10.1063/1.4902378 | EMPG-13-20 | hep-th math-ph math.MP math.QA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the symmetries underlying nonassociative deformations of geometry
in non-geometric R-flux compactifications which arise via T-duality from closed
strings with constant geometric fluxes. Starting from the non-abelian Lie
algebra of translations and Bopp shifts in phase space, together with a
suitable cochain twist, we construct the quasi-Hopf algebra of symmetries that
deforms the algebra of functions and the exterior differential calculus in the
phase space description of nonassociative R-space. In this setting
nonassociativity is characterised by the associator 3-cocycle which controls
non-coassociativity of the quasi-Hopf algebra. We use abelian 2-cocycle twists
to construct maps between the dynamical nonassociative star product and a
family of associative star products parametrized by constant momentum surfaces
in phase space. We define a suitable integration on these nonassociative spaces
and find that the usual cyclicity of associative noncommutative deformations is
replaced by weaker notions of 2-cyclicity and 3-cyclicity. Using this star
product quantization on phase space together with 3-cyclicity, we formulate a
consistent version of nonassociative quantum mechanics, in which we calculate
the expectation values of area and volume operators, and find coarse-graining
of the string background due to the R-flux.
| [
{
"created": "Thu, 5 Dec 2013 17:17:00 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2014 10:23:42 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Oct 2014 13:44:17 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Mylonas",
"Dionysios",
""
],
[
"Schupp",
"Peter",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We analyse the symmetries underlying nonassociative deformations of geometry in non-geometric R-flux compactifications which arise via T-duality from closed strings with constant geometric fluxes. Starting from the non-abelian Lie algebra of translations and Bopp shifts in phase space, together with a suitable cochain twist, we construct the quasi-Hopf algebra of symmetries that deforms the algebra of functions and the exterior differential calculus in the phase space description of nonassociative R-space. In this setting nonassociativity is characterised by the associator 3-cocycle which controls non-coassociativity of the quasi-Hopf algebra. We use abelian 2-cocycle twists to construct maps between the dynamical nonassociative star product and a family of associative star products parametrized by constant momentum surfaces in phase space. We define a suitable integration on these nonassociative spaces and find that the usual cyclicity of associative noncommutative deformations is replaced by weaker notions of 2-cyclicity and 3-cyclicity. Using this star product quantization on phase space together with 3-cyclicity, we formulate a consistent version of nonassociative quantum mechanics, in which we calculate the expectation values of area and volume operators, and find coarse-graining of the string background due to the R-flux. |
2206.03472 | Alexander Belavin | Alexander Belavin, Vladimir Belavin, Sergey Parkhomenko | Explicit construction of $N = 2$ SCFT orbifold models. Spectral flow and
mutual locality | References added, minor corrections | null | 10.1016/j.nuclphysb.2022.115891 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work we present a new approach to constructing Calabi-Yau orbifold
models required for compactification in superstring theory. We use the
connection of CY orbifolds with the class of exactly solvable N=2 SCFT models
to explicitly construct a complete set of fields in these models using the
twisting of the spectral flow and the requirement of mutual locality of the
fields.
| [
{
"created": "Tue, 7 Jun 2022 17:43:42 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jul 2022 17:26:04 GMT",
"version": "v2"
}
] | 2022-07-27 | [
[
"Belavin",
"Alexander",
""
],
[
"Belavin",
"Vladimir",
""
],
[
"Parkhomenko",
"Sergey",
""
]
] | In this work we present a new approach to constructing Calabi-Yau orbifold models required for compactification in superstring theory. We use the connection of CY orbifolds with the class of exactly solvable N=2 SCFT models to explicitly construct a complete set of fields in these models using the twisting of the spectral flow and the requirement of mutual locality of the fields. |
hep-th/9208051 | Jan Louis | Jan Louis | Differential Equations in Special Kahler Geometry | 22 pages, CERN-TH.6580/92, (changed references) | null | null | null | hep-th | null | The structure of differential equations as they appear in special \K\
geometry of $N=2$ supergravity and $(2,2)$ vacua of the heterotic string is
summarized. Their use for computing couplings in the low energy effective
Lagrangians of string compactifications is outlined. (Talk presented at the
Workshop on String Theory, April 8--10, 1992, Trieste, Italy)
| [
{
"created": "Fri, 21 Aug 1992 15:04:31 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 1992 13:51:13 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Louis",
"Jan",
""
]
] | The structure of differential equations as they appear in special \K\ geometry of $N=2$ supergravity and $(2,2)$ vacua of the heterotic string is summarized. Their use for computing couplings in the low energy effective Lagrangians of string compactifications is outlined. (Talk presented at the Workshop on String Theory, April 8--10, 1992, Trieste, Italy) |
1603.09575 | Guido Franchetti | Guido Franchetti and Rafael Maldonado | Monopoles, instantons and the Helmholtz equation | 18 pages, 3 figures | J. Math. Phys. 57, 073502 (2016) | 10.1063/1.4955418 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the dimensional reduction of smooth circle invariant
Yang-Mills instantons defined on 4-manifolds which are non-trivial circle
fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric
within a specific conformal class gives rise to singular and smooth hyperbolic
monopoles. A large class of monopoles is obtained if the conformal factor
satisfies the Helmholtz equation on hyperbolic 3-space. We describe simple
configurations and relate our results to the JNR construction, for which we
provide a geometric interpretation.
| [
{
"created": "Thu, 31 Mar 2016 13:13:39 GMT",
"version": "v1"
}
] | 2016-09-23 | [
[
"Franchetti",
"Guido",
""
],
[
"Maldonado",
"Rafael",
""
]
] | In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric within a specific conformal class gives rise to singular and smooth hyperbolic monopoles. A large class of monopoles is obtained if the conformal factor satisfies the Helmholtz equation on hyperbolic 3-space. We describe simple configurations and relate our results to the JNR construction, for which we provide a geometric interpretation. |
hep-th/9712183 | Raimar Wulkenhaar | Raimar Wulkenhaar | Gyros as geometry of the standard model | 20 pages, LaTeX 2e, 1 eps-figure | null | null | null | hep-th | null | We investigate the (noncommutative) geometry defined by the standard model,
which turns out to be of Kaluza-Klein type. We find that spacetime points are
replaced by extended two-dimensional objects which resemble the surface of a
gyro. Their size is of the order of the inverse top quark mass.
| [
{
"created": "Thu, 18 Dec 1997 14:25:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Wulkenhaar",
"Raimar",
""
]
] | We investigate the (noncommutative) geometry defined by the standard model, which turns out to be of Kaluza-Klein type. We find that spacetime points are replaced by extended two-dimensional objects which resemble the surface of a gyro. Their size is of the order of the inverse top quark mass. |
hep-th/0503241 | Rutwig C. Stursberg | R. Campoamor-Stursberg | Determinantal formulae for the Casimir operators of inhomogeneous Lie
algebras | Final ammended version | J. Phys. A: Math. Gen. 39 (2006), 2325-2337 | 10.1088/0305-4470/39/10/006 | null | hep-th | null | Contractions of Lie algebras are combined with the classical matrix method of
Gel'fand to obtain matrix formulae for the Casimir operators of inhomogeneous
Lie algebras. The method is presented for the inhomogeneous pseudo-unitary Lie
algebras $I\frak{u}(p,q)$. This procedure is extended to contractions of
$I\frak{u}(p,q)$ isomorphic to an extension by a derivation of the
inhomogeneous special pseudo-unitary Lie algebras $I\frak{su}(p-1,q)$,
providing an additional analytical method to obtain their invariants. Further,
matrix formulae for the invariants of other inhomogeneous Lie algebras are
presented.
| [
{
"created": "Thu, 31 Mar 2005 07:05:03 GMT",
"version": "v1"
},
{
"created": "Sat, 13 May 2006 19:24:51 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Campoamor-Stursberg",
"R.",
""
]
] | Contractions of Lie algebras are combined with the classical matrix method of Gel'fand to obtain matrix formulae for the Casimir operators of inhomogeneous Lie algebras. The method is presented for the inhomogeneous pseudo-unitary Lie algebras $I\frak{u}(p,q)$. This procedure is extended to contractions of $I\frak{u}(p,q)$ isomorphic to an extension by a derivation of the inhomogeneous special pseudo-unitary Lie algebras $I\frak{su}(p-1,q)$, providing an additional analytical method to obtain their invariants. Further, matrix formulae for the invariants of other inhomogeneous Lie algebras are presented. |
2205.07903 | Mir Afrasiar | Mir Afrasiar, Jaydeep Kumar Basak, Ashish Chandra and Gautam Sengupta | Islands for Entanglement Negativity in Communicating Black Holes | 42 pages, 22 figures and 2 appendices, v2: Major structural
modifications, Results unchanged | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the holographic entanglement negativity for bipartite mixed states
at a finite temperature in baths described by conformal field theories dual to
configurations involving two communicating black holes in a braneworld
geometry. In this context, we analyze the mixed state entanglement structure
characterized by the information transfer between the black holes. The model
corresponds to a configuration of two dimensional eternal JT black holes in a
braneworld geometry involving two Planck branes coupled through shared bath
systems described by $CFT_2$s. Our results reproduce analogue of the Page
curves for the entanglement negativity obtained earlier in the context of
random matrix theory and from geometric evaporation in JT black hole
configurations.
| [
{
"created": "Mon, 16 May 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jun 2022 13:37:17 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Aug 2023 17:53:40 GMT",
"version": "v3"
}
] | 2023-08-29 | [
[
"Afrasiar",
"Mir",
""
],
[
"Basak",
"Jaydeep Kumar",
""
],
[
"Chandra",
"Ashish",
""
],
[
"Sengupta",
"Gautam",
""
]
] | We obtain the holographic entanglement negativity for bipartite mixed states at a finite temperature in baths described by conformal field theories dual to configurations involving two communicating black holes in a braneworld geometry. In this context, we analyze the mixed state entanglement structure characterized by the information transfer between the black holes. The model corresponds to a configuration of two dimensional eternal JT black holes in a braneworld geometry involving two Planck branes coupled through shared bath systems described by $CFT_2$s. Our results reproduce analogue of the Page curves for the entanglement negativity obtained earlier in the context of random matrix theory and from geometric evaporation in JT black hole configurations. |
0809.1416 | Maria Emilia Guimaraes | A. A. Bytsenko (DF/Uel) and M. E. X. Guimaraes (IF/Uff) | Truncated Heat Kernel and One-Loop Determinants for the BTZ Geometry | 10 pages. To appear in the European Phys. J. C | Eur.Phys.J.C58:511-516,2008 | 10.1140/epjc/s10052-008-0743-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a special relation between the spectrum and the {\it truncated} heat
kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta
function. Using an orbifold description of this relation we calculate the
on-shell corrections of the gravitational quantum fluctuations.
| [
{
"created": "Mon, 8 Sep 2008 19:37:18 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Bytsenko",
"A. A.",
"",
"DF/Uel"
],
[
"Guimaraes",
"M. E. X.",
"",
"IF/Uff"
]
] | There is a special relation between the spectrum and the {\it truncated} heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function. Using an orbifold description of this relation we calculate the on-shell corrections of the gravitational quantum fluctuations. |
2302.07331 | Yannick Mvondo-She | Yannick Mvondo-She | Shannon information entropy, soliton clusters and Bose-Einstein
condensation in log gravity | Minor changes to match published version | JHEP 03 (2023) 192 | 10.1007/JHEP03(2023)192 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We give a probabilistic interpretation of the configurational partition
function of the logarithmic sector of critical cosmological topologically
massive gravity, in which the Hurwitz numbers considered in our previous works
assume the role of probabilities in a distribution on cycles of permutations.
In particular, it is shown that the permutations are distributed according to
the Ewens sampling formula which plays a major role in the theory of partition
structures and their applications to diffusive processes of fragmentation, and
in random trees. This new probabilistic result together with the previously
established evidence of solitons in the theory provide new insights on the
instability originally observed in the theory. We argue that the unstable
propagation of a seed soliton at single particle level induces the generation
of fragments of defect soliton clusters with rooted tree configuration at
multiparticle level, providing a disordered landscape. The Shannon information
entropy of the probability distribution is then introduced as a measure of the
evolution of the unstable soliton clusters generated. Finally, based on
Feynman's path integral formalism on permutation symmetry in the
$\lambda$-transition of liquid helium, we argue that the existence of
permutation cycles in the configurational log partition function indicates the
presence of Bose-Einstein condensates in log gravity.
| [
{
"created": "Tue, 14 Feb 2023 20:24:31 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2024 06:56:44 GMT",
"version": "v2"
}
] | 2024-03-29 | [
[
"Mvondo-She",
"Yannick",
""
]
] | We give a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity, in which the Hurwitz numbers considered in our previous works assume the role of probabilities in a distribution on cycles of permutations. In particular, it is shown that the permutations are distributed according to the Ewens sampling formula which plays a major role in the theory of partition structures and their applications to diffusive processes of fragmentation, and in random trees. This new probabilistic result together with the previously established evidence of solitons in the theory provide new insights on the instability originally observed in the theory. We argue that the unstable propagation of a seed soliton at single particle level induces the generation of fragments of defect soliton clusters with rooted tree configuration at multiparticle level, providing a disordered landscape. The Shannon information entropy of the probability distribution is then introduced as a measure of the evolution of the unstable soliton clusters generated. Finally, based on Feynman's path integral formalism on permutation symmetry in the $\lambda$-transition of liquid helium, we argue that the existence of permutation cycles in the configurational log partition function indicates the presence of Bose-Einstein condensates in log gravity. |
hep-th/0010213 | Jellal Ahmed | Ahmed Jellal and Mohammed Daoud | D-dimensional Ideal Quantum Gases in $Ar^{n}+Br^{-n}$ Potential | 13 pages, Latex | Mod.Phys.Lett. B17 (2003) 1321-1330 | 10.1142/S021798490300630X | null | hep-th | null | The paper is concerned with thermostatistics of both $D$-dimensional Bose and
Fermi ideal gases in a confining potential of type $Ar^{n}+Br^{-n}$. The
investigation is performed in the framework of the semiclassical approximation.
Some physical quantities for such systems are derived, like density of states,
density profiles and number of particles. Bose-Einstein condensation (BEC) is
discussed in the high and low temperature regimes.
| [
{
"created": "Tue, 24 Oct 2000 17:07:29 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2000 11:04:18 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Jellal",
"Ahmed",
""
],
[
"Daoud",
"Mohammed",
""
]
] | The paper is concerned with thermostatistics of both $D$-dimensional Bose and Fermi ideal gases in a confining potential of type $Ar^{n}+Br^{-n}$. The investigation is performed in the framework of the semiclassical approximation. Some physical quantities for such systems are derived, like density of states, density profiles and number of particles. Bose-Einstein condensation (BEC) is discussed in the high and low temperature regimes. |
1504.00967 | Sudarshan Ananth | Y. S. Akshay and Sudarshan Ananth | Fermi-Bose cubic couplings in light-cone field theories | 10 pages | Phys.Rev. D91 (2015) 085029 | 10.1103/PhysRevD.91.085029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive light-cone cubic interaction vertices involving fermions and bosons
of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the
three-point scattering amplitude corresponding to these interaction vertices
and find that they possess interesting factorization properties, identical to
the case of three boson scattering.
| [
{
"created": "Sat, 4 Apr 2015 02:11:09 GMT",
"version": "v1"
}
] | 2020-02-25 | [
[
"Akshay",
"Y. S.",
""
],
[
"Ananth",
"Sudarshan",
""
]
] | We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and find that they possess interesting factorization properties, identical to the case of three boson scattering. |
1703.10352 | So Matsuura | Tsuguhiko Asakawa and So Matsuura | Spherical D-brane by Tachyon Condensation | 31 pages, 3 figures, latex2e | Prog Theor Exp Phys (2018) | 10.1093/ptep/pty006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a novel tachyon condensation which provides a D-brane system with
spherical worldvolume in the flat spacetime. The tachyon profile is a
deformation of a known D0-brane solution on non-BPS D3-branes in type IIA
superstring theory, which realizes a bound state of a spherical D2-brane and a
D0-brane. The D0-brane is resolved into the sphere as a $U(1)$ monopole flux of
the unit magnetic charge. We show that the system has the correct tension and
the RR-coupling. Although the low energy effective action of the system is the
same as that of the dual description of the fuzzy sphere solution of multiple
D0-branes, our system cannot be equivalent to the fuzzy sphere. We argue that
the sphere can be stable in a certain RR-flux background. The use of projective
modules in describing the tachyon condensation is emphasized.
| [
{
"created": "Thu, 30 Mar 2017 08:29:32 GMT",
"version": "v1"
}
] | 2019-12-06 | [
[
"Asakawa",
"Tsuguhiko",
""
],
[
"Matsuura",
"So",
""
]
] | We find a novel tachyon condensation which provides a D-brane system with spherical worldvolume in the flat spacetime. The tachyon profile is a deformation of a known D0-brane solution on non-BPS D3-branes in type IIA superstring theory, which realizes a bound state of a spherical D2-brane and a D0-brane. The D0-brane is resolved into the sphere as a $U(1)$ monopole flux of the unit magnetic charge. We show that the system has the correct tension and the RR-coupling. Although the low energy effective action of the system is the same as that of the dual description of the fuzzy sphere solution of multiple D0-branes, our system cannot be equivalent to the fuzzy sphere. We argue that the sphere can be stable in a certain RR-flux background. The use of projective modules in describing the tachyon condensation is emphasized. |
hep-th/0209169 | Xavier Bekaert | Xavier Bekaert | Issues in Electric-Magnetic Duality | PhD thesis, Universite Libre de Bruxelles, September 2002. 200 pages,
5 figures | null | null | null | hep-th | null | Chapters : 1. Introduction to electric-magnetic duality 2. Classical duality
in bosonic brane electrodynamics 3. Massless spin two gauge theory 4.
Duality-symmetric actions and chiral forms 5. BRST quantization of
duality-symmetric Maxwell's theory 6. Quantization conditions 7. Consistent
deformations
| [
{
"created": "Fri, 20 Sep 2002 13:46:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bekaert",
"Xavier",
""
]
] | Chapters : 1. Introduction to electric-magnetic duality 2. Classical duality in bosonic brane electrodynamics 3. Massless spin two gauge theory 4. Duality-symmetric actions and chiral forms 5. BRST quantization of duality-symmetric Maxwell's theory 6. Quantization conditions 7. Consistent deformations |
1305.3395 | Alessandro Papa | V.S. Fadin, R. Fiore, L.N. Lipatov and A. Papa | Moebius invariant BFKL equation for the adjoint representation in N=4
SUSY | 14 pages | null | 10.1016/j.nuclphysb.2013.05.024 | Budker INP 2013-6 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that in the next-to-leading approximation of N=4 SUSY the BFKL
equation for two-gluon composite states in the adjoint representation of the
gauge group can be reduced to a form which is invariant under Moebius
transformation in the momentum space. The corresponding similarity
transformation of its integral kernel is constructed in an explicit way.
| [
{
"created": "Wed, 15 May 2013 09:07:02 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Fadin",
"V. S.",
""
],
[
"Fiore",
"R.",
""
],
[
"Lipatov",
"L. N.",
""
],
[
"Papa",
"A.",
""
]
] | It is shown that in the next-to-leading approximation of N=4 SUSY the BFKL equation for two-gluon composite states in the adjoint representation of the gauge group can be reduced to a form which is invariant under Moebius transformation in the momentum space. The corresponding similarity transformation of its integral kernel is constructed in an explicit way. |
hep-th/0506115 | Jianxin Lu | H. Bai, J. X. Lu and S. Roy | Tachyon condensation on the intersecting brane-antibrane system | 11 pages, LaTeX, v2: typos corrected | JHEP 0508 (2005) 068 | 10.1088/1126-6708/2005/08/068 | USTC-ICTS-05-6 | hep-th | null | We generalize our study of the tachyon condensation on the brane-antibrane
system [hep-th/0403147] to the intersecting brane-antibrane system. The
supergravity solutions of the intersecting brane-antibrane system are
characterized by five parameters. We relate these parameters to the microscopic
physical parameters, namely, the number of D$p$-branes ($N_1$), the number of
${\bar {\rm D}}p$-branes (${\bar N}_1$), the number of D$(p-4)$-branes ($N_2)$,
the number of ${\bar{\rm D}}(p-4)$-branes (${\bar N}_2$) and the tachyon vev
$T$. We show that the solution and the ADM mass capture all the required
properties and give a correct description of the tachyon condensation for the
intersecting brane-antibrane system.
| [
{
"created": "Tue, 14 Jun 2005 14:15:35 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2005 12:15:30 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bai",
"H.",
""
],
[
"Lu",
"J. X.",
""
],
[
"Roy",
"S.",
""
]
] | We generalize our study of the tachyon condensation on the brane-antibrane system [hep-th/0403147] to the intersecting brane-antibrane system. The supergravity solutions of the intersecting brane-antibrane system are characterized by five parameters. We relate these parameters to the microscopic physical parameters, namely, the number of D$p$-branes ($N_1$), the number of ${\bar {\rm D}}p$-branes (${\bar N}_1$), the number of D$(p-4)$-branes ($N_2)$, the number of ${\bar{\rm D}}(p-4)$-branes (${\bar N}_2$) and the tachyon vev $T$. We show that the solution and the ADM mass capture all the required properties and give a correct description of the tachyon condensation for the intersecting brane-antibrane system. |
hep-th/9308039 | Kelly Davis | Kelly Jay Davis | The Zamolodchikov C-Function, Classical Closed String Field Theory, The
Duistermaat-Heckman Theorem, The Renormalization Group, and all that | Pages 20, RU-93-33 | null | null | null | hep-th | null | In this article we formulate a `topological' field theory by employing a
generalization of the Duistermaat-Heckman Theorem to localize the path-integral
of the `topological action' C^2 , where C is a slight modification of the
Zamolodchikov C-Function, over the space of all two-dimensional field theories
to the fixed points of the renormalization group's identity component. Also, we
propose an interpretation of the background independent classical closed string
field theory action S in terms of the Zamolodchikov C-Function's modification.
| [
{
"created": "Mon, 9 Aug 1993 02:39:33 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Aug 1993 12:41:09 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Oct 1993 00:49:22 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Davis",
"Kelly Jay",
""
]
] | In this article we formulate a `topological' field theory by employing a generalization of the Duistermaat-Heckman Theorem to localize the path-integral of the `topological action' C^2 , where C is a slight modification of the Zamolodchikov C-Function, over the space of all two-dimensional field theories to the fixed points of the renormalization group's identity component. Also, we propose an interpretation of the background independent classical closed string field theory action S in terms of the Zamolodchikov C-Function's modification. |
2312.03820 | Enrico Parisini | Enrico Parisini, Kostas Skenderis, Benjamin Withers | The Ambient Space Formalism | 93 pages, 6 figures; v2: improvements and references added; v3:
published version | null | null | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new formalism to solve the kinematical constraints due to Weyl
invariance for CFTs in curved backgrounds and/or non-trivial states, and we
apply it to thermal CFTs and to CFTs on squashed spheres. The ambient space
formalism is based on constructing a class of geometric objects that are Weyl
covariant and identifying them as natural building blocks of correlation
functions. We construct (scalar) $n$-point functions and we illustrate the
formalism with a detailed computation of 2-point functions. We compare our
results for thermal 2-point functions with results that follow from thermal
OPEs and holographic computations, finding exact agreement. In our holographic
computation we also obtain the OPE coefficient of the leading double-twist
contribution, and we discuss how the double-twist coefficients may be computed
from the multi-energy-momentum contributions, given knowledge of the analytic
structure of the correlator. The 2-point function for the CFT on squashed
spheres is a new result. We also discuss the relation of our work to flat
holography.
| [
{
"created": "Wed, 6 Dec 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2023 14:09:44 GMT",
"version": "v2"
},
{
"created": "Mon, 27 May 2024 08:50:41 GMT",
"version": "v3"
}
] | 2024-05-28 | [
[
"Parisini",
"Enrico",
""
],
[
"Skenderis",
"Kostas",
""
],
[
"Withers",
"Benjamin",
""
]
] | We present a new formalism to solve the kinematical constraints due to Weyl invariance for CFTs in curved backgrounds and/or non-trivial states, and we apply it to thermal CFTs and to CFTs on squashed spheres. The ambient space formalism is based on constructing a class of geometric objects that are Weyl covariant and identifying them as natural building blocks of correlation functions. We construct (scalar) $n$-point functions and we illustrate the formalism with a detailed computation of 2-point functions. We compare our results for thermal 2-point functions with results that follow from thermal OPEs and holographic computations, finding exact agreement. In our holographic computation we also obtain the OPE coefficient of the leading double-twist contribution, and we discuss how the double-twist coefficients may be computed from the multi-energy-momentum contributions, given knowledge of the analytic structure of the correlator. The 2-point function for the CFT on squashed spheres is a new result. We also discuss the relation of our work to flat holography. |
2303.09689 | Carlos M. Reyes | Justo L\'opez-Sarri\'on, Carlos M. Reyes and C\'esar Riquelme | Perturbative S-matrix unitarity and higher-order Lorentz violation | 13 pages, 4 figures | null | 10.1103/PhysRevD.108.015012 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the preservation of unitarity in a Lorentz and CPT-violating
QED model containing higher-order operators. In particular, we consider
modifications in the fermion sector with dimension-five operators. The
higher-order operators lead to an indefinite metric and a pseudo-unitarity
relation for the $S$-matrix. However, we show that the pseudo-unitarity
condition can be promoted to a genuine unitarity relation by i) restricting the
energies to the effective region far below the Planck mass and ii) considering
stable particles to have positive metric. In the context of the optical
theorem, we focus on the one-loop Bhabha and Compton scattering processes. We
show that no ghost states get propagated through the cuts, thus satisfying the
unitarity condition. Further, we show that discontinuities of propagators are
equivalent to replacing physical Dirac functionals in the cutting equation. The
physical Dirac functionals are defined to select only mode solutions of stable
particles. The provided extension of Cutkosky rule may be helpful for analyzing
perturbative unitarity in higher-order diagrams.
| [
{
"created": "Thu, 16 Mar 2023 23:18:12 GMT",
"version": "v1"
}
] | 2023-07-26 | [
[
"López-Sarrión",
"Justo",
""
],
[
"Reyes",
"Carlos M.",
""
],
[
"Riquelme",
"César",
""
]
] | We investigate the preservation of unitarity in a Lorentz and CPT-violating QED model containing higher-order operators. In particular, we consider modifications in the fermion sector with dimension-five operators. The higher-order operators lead to an indefinite metric and a pseudo-unitarity relation for the $S$-matrix. However, we show that the pseudo-unitarity condition can be promoted to a genuine unitarity relation by i) restricting the energies to the effective region far below the Planck mass and ii) considering stable particles to have positive metric. In the context of the optical theorem, we focus on the one-loop Bhabha and Compton scattering processes. We show that no ghost states get propagated through the cuts, thus satisfying the unitarity condition. Further, we show that discontinuities of propagators are equivalent to replacing physical Dirac functionals in the cutting equation. The physical Dirac functionals are defined to select only mode solutions of stable particles. The provided extension of Cutkosky rule may be helpful for analyzing perturbative unitarity in higher-order diagrams. |
hep-th/9712127 | null | Dean Lee (Harvard University) | Singularities of massless planar diagrams, large-N_c mesons in 3+1
dimensions, and the 't Hooft model | 17 pages of Latex, 5 pages of figures | null | null | HUTP-97/A063 | hep-th | null | We study the singular Landau surfaces of planar diagrams contributing to
scattering of a massless quark and antiquark in 3+1 dimensions. In particular,
we look at singularities which remain after integration with respect to the
various angular degrees of freedom. We derive a general relation between these
singularities and the singularities of quark- antiquark scattering in 1+1
dimensions. We then classify all Landau surfaces of the 1+1 dimensional system.
Combining these results, we deduce that the singular surfaces of the angle-
integrated 3+1 dimensional amplitude must satisfy at least one of three
conditions, which we call the planar light-cone conditions. We discuss the
extension of our results to non-perturbative processes by means of the
non-perturbative operator product expansion. Our findings offer new insights
into the connection between the 't Hooft model and large-N_c mesons in 3+1
dimensions and may prove useful in studies of confinement in relativistic meson
systems.
| [
{
"created": "Fri, 12 Dec 1997 21:07:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lee",
"Dean",
"",
"Harvard University"
]
] | We study the singular Landau surfaces of planar diagrams contributing to scattering of a massless quark and antiquark in 3+1 dimensions. In particular, we look at singularities which remain after integration with respect to the various angular degrees of freedom. We derive a general relation between these singularities and the singularities of quark- antiquark scattering in 1+1 dimensions. We then classify all Landau surfaces of the 1+1 dimensional system. Combining these results, we deduce that the singular surfaces of the angle- integrated 3+1 dimensional amplitude must satisfy at least one of three conditions, which we call the planar light-cone conditions. We discuss the extension of our results to non-perturbative processes by means of the non-perturbative operator product expansion. Our findings offer new insights into the connection between the 't Hooft model and large-N_c mesons in 3+1 dimensions and may prove useful in studies of confinement in relativistic meson systems. |
0712.2485 | Jan Ambjorn | J. Ambjorn, A. Gorlich, J. Jurkiewicz and R. Loll | Planckian Birth of the Quantum de Sitter Universe | Article unchanged. Line added in acknowledgment | Phys.Rev.Lett.100:091304, 2008 | 10.1103/PhysRevLett.100.091304 | ITP-UU-07/64 | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the quantum universe emerging from a nonperturbative, Lorentzian
sum-over-geometries can be described with high accuracy by a four-dimensional
de Sitter spacetime. By a scaling analysis involving Newton's constant, we
establish that the linear size of the quantum universes under study is in
between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum
fluctuations around the de Sitter universe in this regime are to good
approximation still describable semiclassically. The numerical evidence
presented comes from a regularization of quantum gravity in terms of causal
dynamical triangulations.
| [
{
"created": "Mon, 17 Dec 2007 11:15:12 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2009 14:40:10 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Ambjorn",
"J.",
""
],
[
"Gorlich",
"A.",
""
],
[
"Jurkiewicz",
"J.",
""
],
[
"Loll",
"R.",
""
]
] | We show that the quantum universe emerging from a nonperturbative, Lorentzian sum-over-geometries can be described with high accuracy by a four-dimensional de Sitter spacetime. By a scaling analysis involving Newton's constant, we establish that the linear size of the quantum universes under study is in between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum fluctuations around the de Sitter universe in this regime are to good approximation still describable semiclassically. The numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations. |
hep-th/9707049 | Govindan Rajesh | Philip Candelas, Eugene Perevalov and Govindan Rajesh | Matter from Toric Geometry | 19 pages, Plain TeX, 2 figures | Nucl.Phys.B519:225-238,1998 | 10.1016/S0550-3213(98)00009-1 | UTTG-17-97 | hep-th | null | We present an algorithm for obtaining the matter content of effective
six-dimensional theories resulting from compactification of F-theory on
elliptic Calabi-Yau threefolds which are hypersurfaces in toric varieties. The
algorithm allows us to read off the matter content of the theory from the
polyhedron describing the Calabi-Yau manifold. This is based on the generalized
Green-Schwarz anomaly cancellation condition.
| [
{
"created": "Thu, 3 Jul 1997 19:55:52 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Candelas",
"Philip",
""
],
[
"Perevalov",
"Eugene",
""
],
[
"Rajesh",
"Govindan",
""
]
] | We present an algorithm for obtaining the matter content of effective six-dimensional theories resulting from compactification of F-theory on elliptic Calabi-Yau threefolds which are hypersurfaces in toric varieties. The algorithm allows us to read off the matter content of the theory from the polyhedron describing the Calabi-Yau manifold. This is based on the generalized Green-Schwarz anomaly cancellation condition. |
1907.10616 | Daniel Davies | Daniel Davies | Quantum Solitons in any Dimension: Derrick's Theorem v. AQFT | v2: 18 pages, section on kink removed for clarity, references updated
v1: 19 pages | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A powerful tool for studying the behavior of classical field theories is
Derrick's theorem: one may rule out the existence of localized inhomogeneous
stable field configurations (solitons) by inspecting the Hamiltonian and making
scaling arguments. For example, the theorem can be used to rule out compact
domain wall configurations for the classic $\phi^4$ theory in $3+1$ dimensions
and greater. We argue no such obstruction to constructing solitons exists in
the framework of algebraic/axiomatic quantum field theory (AQFT), and that
states like the example given lie in topologically trivial superselection
sectors of the Hilbert space. A proof is presented making use of the relative
entropy, and the implications are explored for a few common models of scalar
fields and the pure Yang-Mills theory.
| [
{
"created": "Wed, 24 Jul 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Aug 2019 03:26:27 GMT",
"version": "v2"
}
] | 2019-08-21 | [
[
"Davies",
"Daniel",
""
]
] | A powerful tool for studying the behavior of classical field theories is Derrick's theorem: one may rule out the existence of localized inhomogeneous stable field configurations (solitons) by inspecting the Hamiltonian and making scaling arguments. For example, the theorem can be used to rule out compact domain wall configurations for the classic $\phi^4$ theory in $3+1$ dimensions and greater. We argue no such obstruction to constructing solitons exists in the framework of algebraic/axiomatic quantum field theory (AQFT), and that states like the example given lie in topologically trivial superselection sectors of the Hilbert space. A proof is presented making use of the relative entropy, and the implications are explored for a few common models of scalar fields and the pure Yang-Mills theory. |
hep-th/0006151 | Jean-Bernard Zuber | Jean-Bernard Zuber | CFT, BCFT, ADE and all that | Lectures at Bariloche, Argentina, January 2000. 36 pages, 4 figures | null | null | SPhT00/072 | hep-th | null | These pedagogical lectures present some material, classical or more recent,
on (Rational) Conformal Field Theories and their general setting ``in the
bulk'' or in the presence of a boundary. Two well posed problems are the
classification of modular invariant partition functions and the determination
of boundary conditions consistent with conformal invariance. It is shown why
the two problems are intimately connected and how graphs -ADE Dynkin diagrams
and their generalizations- appear in a natural way.
| [
{
"created": "Tue, 20 Jun 2000 15:36:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zuber",
"Jean-Bernard",
""
]
] | These pedagogical lectures present some material, classical or more recent, on (Rational) Conformal Field Theories and their general setting ``in the bulk'' or in the presence of a boundary. Two well posed problems are the classification of modular invariant partition functions and the determination of boundary conditions consistent with conformal invariance. It is shown why the two problems are intimately connected and how graphs -ADE Dynkin diagrams and their generalizations- appear in a natural way. |
hep-th/9603114 | Shao-Ming Fei | Sergio Albeverio and Shao-Ming Fei | Current Algebraic Structures over Manifolds: Poisson Algebras,
q-Deformations and Quantization | 25 pages, Latex | J.Geom.Phys. 27 (1998) 30-48 | 10.1016/S0393-0440(97)00069-7 | null | hep-th alg-geom math.AG math.QA q-alg | null | Poisson algebraic structures on current manifolds (of maps from a finite
dimensional Riemannian manifold into a 2-dimensional manifold) are investigated
in terms of symplectic geometry. It is shown that there is a one to one
correspondence between such current manifolds and Poisson current algebras with
three generators. A geometric meaning is given to q-deformations of current
algebras. The geometric quantization of current algebras and quantum current
algebraic maps is also studied.
| [
{
"created": "Sun, 17 Mar 1996 11:37:59 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Albeverio",
"Sergio",
""
],
[
"Fei",
"Shao-Ming",
""
]
] | Poisson algebraic structures on current manifolds (of maps from a finite dimensional Riemannian manifold into a 2-dimensional manifold) are investigated in terms of symplectic geometry. It is shown that there is a one to one correspondence between such current manifolds and Poisson current algebras with three generators. A geometric meaning is given to q-deformations of current algebras. The geometric quantization of current algebras and quantum current algebraic maps is also studied. |
2312.01918 | Mehdi Assanioussi | Mehdi Assanioussi, Jerzy Kowalski-Glikman, Ilkka M\"akinen, Ludovic
Varrin | On the covariant formulation of gauge theories with boundaries | 47 pages; minor corrections; further references added | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In the present article, we review the classical covariant formulation of
Yang-Mills theory and general relativity in the presence of spacetime
boundaries, focusing mainly on the derivation of the presymplectic forms and
their properties. We further revisit the introduction of the edge modes and the
conditions which justify them, in the context where only field-independent
gauge transformations are considered. We particularly show that the presence of
edge modes is not justified by gauge invariance of the presymplectic form, but
rather by the condition that the presymplectic form is degenerate on the
initial field space, which allows to relate this presymplectic form to the
symplectic form on the gauge reduced field space via pullback.
| [
{
"created": "Mon, 4 Dec 2023 14:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 17:51:39 GMT",
"version": "v2"
}
] | 2024-05-01 | [
[
"Assanioussi",
"Mehdi",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Mäkinen",
"Ilkka",
""
],
[
"Varrin",
"Ludovic",
""
]
] | In the present article, we review the classical covariant formulation of Yang-Mills theory and general relativity in the presence of spacetime boundaries, focusing mainly on the derivation of the presymplectic forms and their properties. We further revisit the introduction of the edge modes and the conditions which justify them, in the context where only field-independent gauge transformations are considered. We particularly show that the presence of edge modes is not justified by gauge invariance of the presymplectic form, but rather by the condition that the presymplectic form is degenerate on the initial field space, which allows to relate this presymplectic form to the symplectic form on the gauge reduced field space via pullback. |
hep-th/9911074 | N. D. Hari Dass | N.D. Hari Dass (IMSc, Chennai) and V. Soni (NPL, New Delhi) | Asymptotically Free Non-Abelian Gauge Theories With Fermions and Scalars
As Alternatives to QCD | 37 pages in LATEX with 10 figs | Phys.Rev. D65 (2002) 095005 | 10.1103/PhysRevD.65.095005 | null | hep-th | null | In this paper we construct non-Abelian gauge theories with fermions and
scalars that nevertheless possess asymptotic freedom.The scalars are taken to
be in a chiral multiplet transforming as $(2,2)$ under $SU(2)_L\otimes SU(2)_R$
and transforming as singlets under the colour SU(3) group. We consider two
distinct scenarios, one in which the additional scalars are light and another
in which they are heavier than half the Z-boson mass. It is shown that
asymptotic freedom is obtained without requiring that all additional couplings
keep fixed ratios with each other. It is also shown that both scenarios can not
be ruled out by what are considered standard tests of QCD like R- parameter,
g-2 for muons or deep inelastic phenomena. The light mass scenario is however
ruled out by high precision Z-width data (and only by that one data).The heavy
mass scenario is still viable and is shown to naturally pass the test of
flavour changing neutral currents. It also is not ruled out by precision
electroweak oblique parameters. Many distinctive experimental signatures of
these models are also discussed.
| [
{
"created": "Thu, 11 Nov 1999 07:15:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dass",
"N. D. Hari",
"",
"IMSc, Chennai"
],
[
"Soni",
"V.",
"",
"NPL, New Delhi"
]
] | In this paper we construct non-Abelian gauge theories with fermions and scalars that nevertheless possess asymptotic freedom.The scalars are taken to be in a chiral multiplet transforming as $(2,2)$ under $SU(2)_L\otimes SU(2)_R$ and transforming as singlets under the colour SU(3) group. We consider two distinct scenarios, one in which the additional scalars are light and another in which they are heavier than half the Z-boson mass. It is shown that asymptotic freedom is obtained without requiring that all additional couplings keep fixed ratios with each other. It is also shown that both scenarios can not be ruled out by what are considered standard tests of QCD like R- parameter, g-2 for muons or deep inelastic phenomena. The light mass scenario is however ruled out by high precision Z-width data (and only by that one data).The heavy mass scenario is still viable and is shown to naturally pass the test of flavour changing neutral currents. It also is not ruled out by precision electroweak oblique parameters. Many distinctive experimental signatures of these models are also discussed. |
hep-th/9603053 | Ctirad Klimcik | A. Connes | Gravity coupled with matter and foundation of non-commutative geometry | 30 pages, Plain TeX | Commun.Math.Phys. 182 (1996) 155-176 | 10.1007/BF02506388 | null | hep-th math.QA q-alg | null | We first exhibit in the commutative case the simple algebraic relations
between the algebra of functions on a manifold and its infinitesimal length
element $ds$. Its unitary representations correspond to Riemannian metrics and
Spin structure while $ds$ is the Dirac propagator $ds = \ts \!\!$---$\!\! \ts =
D^{-1}$ where $D$ is the Dirac operator. We extend these simple relations to
the non commutative case using Tomita's involution $J$. We then write a
spectral action, the trace of a function of the length element in Planck units,
which when applied to the non commutative geometry of the Standard Model will
be shown (in a joint work with Ali Chamseddine) to give the SM Lagrangian
coupled to gravity. The internal fluctuations of the non commutative geometry
are trivial in the commutative case but yield the full bosonic sector of SM
with all correct quantum numbers in the slightly non commutative case. The
group of local gauge transformations appears spontaneously as a normal subgroup
of the diffeomorphism group.
| [
{
"created": "Fri, 8 Mar 1996 20:50:40 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Connes",
"A.",
""
]
] | We first exhibit in the commutative case the simple algebraic relations between the algebra of functions on a manifold and its infinitesimal length element $ds$. Its unitary representations correspond to Riemannian metrics and Spin structure while $ds$ is the Dirac propagator $ds = \ts \!\!$---$\!\! \ts = D^{-1}$ where $D$ is the Dirac operator. We extend these simple relations to the non commutative case using Tomita's involution $J$. We then write a spectral action, the trace of a function of the length element in Planck units, which when applied to the non commutative geometry of the Standard Model will be shown (in a joint work with Ali Chamseddine) to give the SM Lagrangian coupled to gravity. The internal fluctuations of the non commutative geometry are trivial in the commutative case but yield the full bosonic sector of SM with all correct quantum numbers in the slightly non commutative case. The group of local gauge transformations appears spontaneously as a normal subgroup of the diffeomorphism group. |
1601.00980 | Henry Maxfield | Henry Maxfield, Simon Ross, Benson Way | Holographic partition functions and phases for higher genus Riemann
surfaces | 27 pp + appendix | null | 10.1088/0264-9381/33/12/125018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a numerical method to compute the action of Euclidean
saddlepoints for the partition function of a two-dimensional holographic CFT on
a Riemann surface of arbitrary genus, with constant curvature metric. We
explicitly evaluate the action for the saddles for genus two and map out the
phase structure of dominant bulk saddles in a two-dimensional subspace of the
moduli space. We discuss spontaneous breaking of discrete symmetries, and show
that the handlebody bulk saddles always dominate over certain non-handlebody
solutions.
| [
{
"created": "Tue, 5 Jan 2016 21:06:33 GMT",
"version": "v1"
}
] | 2016-05-25 | [
[
"Maxfield",
"Henry",
""
],
[
"Ross",
"Simon",
""
],
[
"Way",
"Benson",
""
]
] | We describe a numerical method to compute the action of Euclidean saddlepoints for the partition function of a two-dimensional holographic CFT on a Riemann surface of arbitrary genus, with constant curvature metric. We explicitly evaluate the action for the saddles for genus two and map out the phase structure of dominant bulk saddles in a two-dimensional subspace of the moduli space. We discuss spontaneous breaking of discrete symmetries, and show that the handlebody bulk saddles always dominate over certain non-handlebody solutions. |
1912.09981 | Anthony Ashmore | Anthony Ashmore, Charles Strickland-Constable, David Tennyson, Daniel
Waldram | Heterotic backgrounds via generalised geometry: moment maps and moduli | 50 pages; references added | null | 10.1007/JHEP11(2020)071 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the geometry of generic heterotic backgrounds preserving minimal
supersymmetry in four dimensions using the language of generalised geometry.
They are characterised by an $SU(3)\times Spin(6+n)$ structure within
$O(6,6+n)\times\mathbb{R}^+$ generalised geometry. Supersymmetry of the
background is encoded in the existence of an involutive subbundle of the
generalised tangent bundle and the vanishing of a moment map for the action of
diffeomorphisms and gauge symmetries. We give both the superpotential and the
K\"ahler potential for a generic background, showing that the latter defines a
natural Hitchin functional for heterotic geometries. Intriguingly, this
formulation suggests new connections to geometric invariant theory and an
extended notion of stability. Finally we show that the analysis of
infinitesimal deformations of these geometric structures naturally reproduces
the known cohomologies that count the massless moduli of supersymmetric
heterotic backgrounds.
| [
{
"created": "Fri, 20 Dec 2019 18:06:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2020 20:33:32 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Ashmore",
"Anthony",
""
],
[
"Strickland-Constable",
"Charles",
""
],
[
"Tennyson",
"David",
""
],
[
"Waldram",
"Daniel",
""
]
] | We describe the geometry of generic heterotic backgrounds preserving minimal supersymmetry in four dimensions using the language of generalised geometry. They are characterised by an $SU(3)\times Spin(6+n)$ structure within $O(6,6+n)\times\mathbb{R}^+$ generalised geometry. Supersymmetry of the background is encoded in the existence of an involutive subbundle of the generalised tangent bundle and the vanishing of a moment map for the action of diffeomorphisms and gauge symmetries. We give both the superpotential and the K\"ahler potential for a generic background, showing that the latter defines a natural Hitchin functional for heterotic geometries. Intriguingly, this formulation suggests new connections to geometric invariant theory and an extended notion of stability. Finally we show that the analysis of infinitesimal deformations of these geometric structures naturally reproduces the known cohomologies that count the massless moduli of supersymmetric heterotic backgrounds. |
1104.4924 | Mohammad Ali-Akbari | M. Ali-Akbari | Non-commutative Holographic QCD and Jet Quenching Parameter | 15 pages, 3 figures | null | null | IPM/P-2011/012 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using gauge/gravity duality, we compute jet quenching parameter in confined
and deconfined phases of noncommutative Sakai-Sugimoto model. In the confined
phase jet quenching parameter is zero and noncommutativity does not affect it.
In deconfined phase we find that the leading correction is negative i.e. it
reduces the magnitude of the jet quenching parameter as compared to its value
in commutative background. Moreover it is seen that the effect of leading
correction is more pronounced at high temperatures
| [
{
"created": "Tue, 26 Apr 2011 13:54:30 GMT",
"version": "v1"
}
] | 2011-04-27 | [
[
"Ali-Akbari",
"M.",
""
]
] | Using gauge/gravity duality, we compute jet quenching parameter in confined and deconfined phases of noncommutative Sakai-Sugimoto model. In the confined phase jet quenching parameter is zero and noncommutativity does not affect it. In deconfined phase we find that the leading correction is negative i.e. it reduces the magnitude of the jet quenching parameter as compared to its value in commutative background. Moreover it is seen that the effect of leading correction is more pronounced at high temperatures |
hep-th/0107063 | Calin Iuliu Lazaroiu | C. I. Lazaroiu, R. Roiban and D. Vaman | Graded Chern-Simons field theory and graded topological D-branes | 74 pages, 2 figures | JHEP 0204 (2002) 023 | 10.1088/1126-6708/2002/04/023 | YITP-SB 01-37 | hep-th math.QA math.SG | null | We discuss graded D-brane systems of the topological A model on a Calabi-Yau
threefold, by means of their string field theory. We give a detailed analysis
of the extended string field action, showing that it satisfies the classical
master equation, and construct the associated BV system. The analysis is
entirely general and it applies to any collection of D-branes (of distinct
grades) wrapping the same special Lagrangian cycle, being valid in arbitrary
topology. Our discussion employs a $\Z$-graded version of the covariant BV
formalism, whose formulation involves the concept of {\em graded
supermanifolds}. We discuss this formalism in detail and explain why
$\Z$-graded supermanifolds are necessary for a correct geometric understanding
of BV systems. For the particular case of graded D-brane pairs, we also give a
direct construction of the master action, finding complete agreement with the
abstract formalism. We analyze formation of acyclic composites and show that,
under certain topological assumptions,all states resulting from the
condensation process of a pair of branes with grades differing by one unit are
BRST trivial and thus the composite can be viewed as a closed string vacuum. We
prove that there are {\em six} types of pairs which must be viewed as generally
inequivalent. This contradicts the assumption that `brane-antibrane' systems
exhaust the nontrivial dynamics of topological A-branes with the same geometric
support.
| [
{
"created": "Sun, 8 Jul 2001 03:19:13 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Lazaroiu",
"C. I.",
""
],
[
"Roiban",
"R.",
""
],
[
"Vaman",
"D.",
""
]
] | We discuss graded D-brane systems of the topological A model on a Calabi-Yau threefold, by means of their string field theory. We give a detailed analysis of the extended string field action, showing that it satisfies the classical master equation, and construct the associated BV system. The analysis is entirely general and it applies to any collection of D-branes (of distinct grades) wrapping the same special Lagrangian cycle, being valid in arbitrary topology. Our discussion employs a $\Z$-graded version of the covariant BV formalism, whose formulation involves the concept of {\em graded supermanifolds}. We discuss this formalism in detail and explain why $\Z$-graded supermanifolds are necessary for a correct geometric understanding of BV systems. For the particular case of graded D-brane pairs, we also give a direct construction of the master action, finding complete agreement with the abstract formalism. We analyze formation of acyclic composites and show that, under certain topological assumptions,all states resulting from the condensation process of a pair of branes with grades differing by one unit are BRST trivial and thus the composite can be viewed as a closed string vacuum. We prove that there are {\em six} types of pairs which must be viewed as generally inequivalent. This contradicts the assumption that `brane-antibrane' systems exhaust the nontrivial dynamics of topological A-branes with the same geometric support. |
2202.05425 | Hikaru Uchida | Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Hikaru Uchida, Shohei
Uemura | Modular symmetry anomaly and non-perturbative neutrino mass terms in
magnetized orbifold models | 32 pages | null | 10.1103/PhysRevD.105.116002 | EPHOU-22-003 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the modular symmetry anomaly in magnetized orbifold models. The
non-perturbative effects such as D-brane instanton effects can break tree-level
symmetry. We study which part of the modular symmetry is broken explicitly by
Majorana mass terms with three generations of neutrinos. The modular weight of
neutrino mass terms does not match with other coupling terms in tree-level
Lagrangian. In addition, the $Z_N$ symmetry of the modular flavor symmetry is
broken and a certain normal subgroup of the modular flavor symmetry remains in
neutrino mass terms.
| [
{
"created": "Fri, 11 Feb 2022 03:22:51 GMT",
"version": "v1"
}
] | 2022-06-15 | [
[
"Kikuchi",
"Shota",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Nasu",
"Kaito",
""
],
[
"Uchida",
"Hikaru",
""
],
[
"Uemura",
"Shohei",
""
]
] | We study the modular symmetry anomaly in magnetized orbifold models. The non-perturbative effects such as D-brane instanton effects can break tree-level symmetry. We study which part of the modular symmetry is broken explicitly by Majorana mass terms with three generations of neutrinos. The modular weight of neutrino mass terms does not match with other coupling terms in tree-level Lagrangian. In addition, the $Z_N$ symmetry of the modular flavor symmetry is broken and a certain normal subgroup of the modular flavor symmetry remains in neutrino mass terms. |
hep-th/0312040 | Drago\c{s} Constantin | Melanie Becker, Dragos Constantin, S. James Gates, Jr., William D.
Linch III, Willie Merrell and J. Phillips | M-theory on Spin(7) Manifolds, Fluxes and 3D, N=1 Supergravity | 37 pages no figures (LaTeX 2e) | Nucl.Phys. B683 (2004) 67-104 | 10.1016/j.nuclphysb.2004.01.013 | null | hep-th | null | We calculate the most general causal N=1 three-dimensional, gauge invariant
action coupled to matter in superspace and derive its component form using
Ectoplasmic integration theory. One example of such an action can be obtained
by compactifying M-theory on a Spin(7) holonomy manifold taking non-vanishing
fluxes into account. We show that the resulting three-dimensional theory is in
agreement with the more general construction. The scalar potential resulting
from Kaluza-Klein compactification stabilizes all the moduli fields describing
deformations of the metric except for the radial modulus. This potential can be
written in terms of the superpotential previously discussed in the literature.
| [
{
"created": "Thu, 4 Dec 2003 20:01:22 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Becker",
"Melanie",
""
],
[
"Constantin",
"Dragos",
""
],
[
"Gates,",
"S. James",
"Jr."
],
[
"Linch",
"William D.",
"III"
],
[
"Merrell",
"Willie",
""
],
[
"Phillips",
"J.",
""
]
] | We calculate the most general causal N=1 three-dimensional, gauge invariant action coupled to matter in superspace and derive its component form using Ectoplasmic integration theory. One example of such an action can be obtained by compactifying M-theory on a Spin(7) holonomy manifold taking non-vanishing fluxes into account. We show that the resulting three-dimensional theory is in agreement with the more general construction. The scalar potential resulting from Kaluza-Klein compactification stabilizes all the moduli fields describing deformations of the metric except for the radial modulus. This potential can be written in terms of the superpotential previously discussed in the literature. |
1212.4826 | Pablo Bueno | Pablo Bueno, W. Chemissany and C. S. Shahbazi | On hvLif-like solutions in gauged Supergravity | Version to appear in JHEP 1 figure, 31 pages | null | null | IFT-UAM/CSIC-12-121 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a thorough investigation of Lifshitz-like metrics with
hyperscaling violation (hvLif) in four-dimensional theories of gravity coupled
to an arbitrary number of scalars and vector fields, obtaining new solutions,
electric, magnetic and dyonic, that include the known ones as particular cases.
After establishing some general results on the properties of purely hvLif
solutions, we apply the previous formalism to the case of \mathcal{N}=2, d=4
Supergravity in the presence of Fayet-Iliopoulos terms, obtaining particular
solutions to the t^3-model, and explicitly embedding some of them in Type-IIB
String Theory.
| [
{
"created": "Wed, 19 Dec 2012 20:44:32 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Dec 2012 18:33:55 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Feb 2013 12:04:38 GMT",
"version": "v3"
},
{
"created": "Wed, 29 May 2013 10:47:30 GMT",
"version": "v4"
},
{
"c... | 2013-08-21 | [
[
"Bueno",
"Pablo",
""
],
[
"Chemissany",
"W.",
""
],
[
"Shahbazi",
"C. S.",
""
]
] | We perform a thorough investigation of Lifshitz-like metrics with hyperscaling violation (hvLif) in four-dimensional theories of gravity coupled to an arbitrary number of scalars and vector fields, obtaining new solutions, electric, magnetic and dyonic, that include the known ones as particular cases. After establishing some general results on the properties of purely hvLif solutions, we apply the previous formalism to the case of \mathcal{N}=2, d=4 Supergravity in the presence of Fayet-Iliopoulos terms, obtaining particular solutions to the t^3-model, and explicitly embedding some of them in Type-IIB String Theory. |
2212.03254 | Paul Romatschke | Paul Romatschke | Life at the Landau pole | 24 pages, 6 figures; v2: typos fixed, slightly expanded discussion;
v3: expanded discussion, more typos fixed, matches version accepted for
publication | AppliedMath 2024, 4(1), 55-69 | 10.3390/appliedmath4010003 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If a quantum field theory has a Landau pole, the theory is usually called
'sick' and dismissed as a candidate for an interacting UV-complete theory. In a
recent study on the interacting 4d O(N) model at large N, it was shown that at
the Landau pole, observables remain well-defined and finite. In this work, I
study both relevant and irrelevant deformations of the said model at the Landau
pole, finding that physical observables remain unaffected. Apparently, the
Landau pole in this theory is benign. As a phenomenological application, I
compare the O(N) model to QCD, by identifying $\Lambda_{\overline{\rm MS}}$
with the Landau pole in the O(N) model.
| [
{
"created": "Tue, 6 Dec 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2023 18:50:30 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Dec 2023 22:29:01 GMT",
"version": "v3"
}
] | 2024-01-12 | [
[
"Romatschke",
"Paul",
""
]
] | If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the Landau pole, observables remain well-defined and finite. In this work, I study both relevant and irrelevant deformations of the said model at the Landau pole, finding that physical observables remain unaffected. Apparently, the Landau pole in this theory is benign. As a phenomenological application, I compare the O(N) model to QCD, by identifying $\Lambda_{\overline{\rm MS}}$ with the Landau pole in the O(N) model. |
hep-th/0403122 | Ali Kaya | Ali Kaya | Non-Gaussian Path Integration in Self-Interacting Scalar Field Theories | 9 pages, 1 figure, revtex4, v4: minor changes, to appear in Phys.
Rev. D | Phys.Rev. D70 (2004) 085001 | 10.1103/PhysRevD.70.085001 | null | hep-th math-ph math.MP quant-ph | null | In self-interacting scalar field theories kinetic expansion is an alternative
way of calculating the generating functional for Green's functions where the
zeroth order non-Gaussian path integral becomes diagonal in x-space and reduces
to the product of an ordinary integral at each point which can be evaluated
exactly. We discuss how to deal with such functional integrals and propose a
new perturbative expansion scheme which combines the elements of the kinetic
expansion with that of usual perturbation theory. It is then shown that, when
the cutoff dependent bare parameters in the potential are fixed to have a well
defined non-Gaussian path integral without the kinetic term, the theory becomes
trivial in the continuum limit.
| [
{
"created": "Thu, 11 Mar 2004 08:31:44 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2004 09:51:05 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jun 2004 10:08:54 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Aug 2004 13:31:25 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Kaya",
"Ali",
""
]
] | In self-interacting scalar field theories kinetic expansion is an alternative way of calculating the generating functional for Green's functions where the zeroth order non-Gaussian path integral becomes diagonal in x-space and reduces to the product of an ordinary integral at each point which can be evaluated exactly. We discuss how to deal with such functional integrals and propose a new perturbative expansion scheme which combines the elements of the kinetic expansion with that of usual perturbation theory. It is then shown that, when the cutoff dependent bare parameters in the potential are fixed to have a well defined non-Gaussian path integral without the kinetic term, the theory becomes trivial in the continuum limit. |
1010.5921 | Mathew Bullimore | Mathew Bullimore | MHV Diagrams from an All-Line Recursion Relation | 37 pages | null | 10.1007/JHEP08(2011)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the recursion relation for loop integrands in planar N = 4 SYM
generated by an all-line shift of momentum twistors. We examine the behaviour
of the rational loop integrands when the shift parameter becomes large, and
find that a valid recursion relation may be obtained in all cases. The
recursion relation is then formulated both in region momentum space and in
momentum twistor space, and solved in detail for some one and two-loop
examples. Finally, we show that the general iterative solution of the recursion
relation generates the MHV vertex expansion for all loop integrands, providing
a proof of the MHV diagram formalism for all loop amplitudes in planar N = 4
SYM.
| [
{
"created": "Thu, 28 Oct 2010 11:11:32 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Bullimore",
"Mathew",
""
]
] | We consider the recursion relation for loop integrands in planar N = 4 SYM generated by an all-line shift of momentum twistors. We examine the behaviour of the rational loop integrands when the shift parameter becomes large, and find that a valid recursion relation may be obtained in all cases. The recursion relation is then formulated both in region momentum space and in momentum twistor space, and solved in detail for some one and two-loop examples. Finally, we show that the general iterative solution of the recursion relation generates the MHV vertex expansion for all loop integrands, providing a proof of the MHV diagram formalism for all loop amplitudes in planar N = 4 SYM. |
2306.02924 | Pablo Bueno | Pablo Bueno, Pablo A. Cano, Robie A. Hennigar | On the stability of Einsteinian Cubic Gravity black holes in EFT | 14 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we revisit the analysis performed in arXiv:2305.07217 of
odd-parity perturbations around static and spherically symmetric black holes in
Einsteinian Cubic Gravity (ECG). We show that the additional propagating modes
always have masses much above the cutoff of the theory. Therefore, contrary to
what is claimed in that paper, the ECG black holes remain stable within the
effective field theory regime. We consider the same analysis for a general
cubic theory, showing that the ECG results are not special in this regard. We
use the occasion to make some clarifications on the role, uses and limitations
of ECG and its generalizations.
| [
{
"created": "Mon, 5 Jun 2023 14:38:23 GMT",
"version": "v1"
}
] | 2023-06-06 | [
[
"Bueno",
"Pablo",
""
],
[
"Cano",
"Pablo A.",
""
],
[
"Hennigar",
"Robie A.",
""
]
] | In this note we revisit the analysis performed in arXiv:2305.07217 of odd-parity perturbations around static and spherically symmetric black holes in Einsteinian Cubic Gravity (ECG). We show that the additional propagating modes always have masses much above the cutoff of the theory. Therefore, contrary to what is claimed in that paper, the ECG black holes remain stable within the effective field theory regime. We consider the same analysis for a general cubic theory, showing that the ECG results are not special in this regard. We use the occasion to make some clarifications on the role, uses and limitations of ECG and its generalizations. |
2111.02418 | Javier Magan | Javier M. Magan | Proof of the universal density of charged states in QFT | 14 pages | null | 10.1007/JHEP12(2021)100 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove a recent conjecture by Harlow and Ooguri concerning a universal
formula for the charged density of states in QFT at high energies for global
symmetries associated with finite groups. An equivalent statement, based on the
entropic order parameter associated with charged operators in the thermofield
double state, was proven in a previous article by Casini, Huerta, Pontello, and
the present author. Here we describe how the statement about the entropic order
parameter arises, and how it gets transformed into the universal density of
states. The use of the certainty principle, relating the entropic order and
disorder parameters, is crucial for the proof. We remark that although the
immediate application of this result concerns charged states, the origin and
physics of such density can be understood by looking at the vacuum sector only.
We also describe how these arguments lie at the origin of the so-called entropy
equipartition in these type of systems, and how they generalize to QFT's on
non-compact manifolds.
| [
{
"created": "Wed, 3 Nov 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2022 14:49:11 GMT",
"version": "v2"
}
] | 2022-02-21 | [
[
"Magan",
"Javier M.",
""
]
] | We prove a recent conjecture by Harlow and Ooguri concerning a universal formula for the charged density of states in QFT at high energies for global symmetries associated with finite groups. An equivalent statement, based on the entropic order parameter associated with charged operators in the thermofield double state, was proven in a previous article by Casini, Huerta, Pontello, and the present author. Here we describe how the statement about the entropic order parameter arises, and how it gets transformed into the universal density of states. The use of the certainty principle, relating the entropic order and disorder parameters, is crucial for the proof. We remark that although the immediate application of this result concerns charged states, the origin and physics of such density can be understood by looking at the vacuum sector only. We also describe how these arguments lie at the origin of the so-called entropy equipartition in these type of systems, and how they generalize to QFT's on non-compact manifolds. |
1711.11425 | Yoshiike Ryo Mr. | Ryo Yoshiike, Toshitaka Tatsumi | Axial anomaly and nesting in the inhomogeneous chiral phase | 15 pages, 7 figures | Phys. Rev. D 97, 016019 (2018) | 10.1103/PhysRevD.97.016019 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Axial anomaly and nesting is elucidated in the context of the inhomogeneous
chiral phase. Using the Gross-Neveu models in 1+1 dimensions, we shall discuss
axial anomaly and nesting from two different points of view: one is homogeneous
chiral transition and the other is the Ferrel-Fulde-Larkin-Ovchinnikov (FFLO)
state in superconductivity, which are closely related to each other by way of
duality. It is shown that axial anomaly leads to a particular kind of the FFLO
state within the two dimensional Nambu-Jona Lasinio model, where axial anomaly
is manifested in a different mode. Nesting is a driving mechanism for both
phenomena, but its realization has different features. We reconsider the effect
of nesting in the context of duality.
| [
{
"created": "Mon, 27 Nov 2017 08:28:27 GMT",
"version": "v1"
}
] | 2018-02-07 | [
[
"Yoshiike",
"Ryo",
""
],
[
"Tatsumi",
"Toshitaka",
""
]
] | Axial anomaly and nesting is elucidated in the context of the inhomogeneous chiral phase. Using the Gross-Neveu models in 1+1 dimensions, we shall discuss axial anomaly and nesting from two different points of view: one is homogeneous chiral transition and the other is the Ferrel-Fulde-Larkin-Ovchinnikov (FFLO) state in superconductivity, which are closely related to each other by way of duality. It is shown that axial anomaly leads to a particular kind of the FFLO state within the two dimensional Nambu-Jona Lasinio model, where axial anomaly is manifested in a different mode. Nesting is a driving mechanism for both phenomena, but its realization has different features. We reconsider the effect of nesting in the context of duality. |
hep-th/0209151 | Victor Elias | V. Elias, D. G. C. McKeon | Vanishing of the Bare Coupling in Four Dimensions | 9 pages, no figures; added references | Int.J.Mod.Phys. A18 (2003) 2395-2401 | 10.1142/S0217751X03014204 | null | hep-th | null | We examine two restructurings of the series relationship between the bare and
renormalized coupling constant in dimensional regularization. In one of these
restructurings, we are able to demonstrate via all-orders summation of leading
and successive epsilon = 0 (dimensionality = 4) poles that the bare coupling
vanishes in the dimension-4 limit.
| [
{
"created": "Wed, 18 Sep 2002 17:16:07 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2003 15:36:37 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Elias",
"V.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | We examine two restructurings of the series relationship between the bare and renormalized coupling constant in dimensional regularization. In one of these restructurings, we are able to demonstrate via all-orders summation of leading and successive epsilon = 0 (dimensionality = 4) poles that the bare coupling vanishes in the dimension-4 limit. |
hep-th/9903114 | Tristan Hubsch | Tristan Hubsch | Some Algebraic Symmetries of (2,2)-Supersymmetric Systems | plain TeX (needs "harvmac"), 9 pages, 2 references added & typos
corrected | Mod.Phys.Lett. A16 (2001) 663-672 | 10.1142/S0217732301003863 | null | hep-th | null | The Hilbert spaces of supersymmetric systems admit symmetries which are often
related to the topology and geometry of the (target) field-space. Here, we
study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are
closely related to superstring models. They all turn out to posess some
hitherto unexploited and geometrically and topologically unobstructed
symmetries, providing new tools for studying the topology and geometry of
superstring target spacetimes, and so the dynamics of the effective field
theory in these.
| [
{
"created": "Fri, 12 Mar 1999 20:31:48 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Apr 1999 20:26:29 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hubsch",
"Tristan",
""
]
] | The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely related to superstring models. They all turn out to posess some hitherto unexploited and geometrically and topologically unobstructed symmetries, providing new tools for studying the topology and geometry of superstring target spacetimes, and so the dynamics of the effective field theory in these. |
2001.09280 | Doron Gepner R | Vladimir Belavin and Doron Gepner | The 5-CB Algebra and Fused $SU(2)$ Lattice Models | 20 pages, no figures, Mathematica notebook attached. Added references
and corrected some erroneous 5--CB relations | null | 10.1088/1751-8121/abe77b | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fused $SU(2)$ models put forward by Date et al., that are a
series of models with arbitrary number of blocks, which is the degree of the
polynomial equation obeyed by the Boltzmann weights. We demonstrate by a direct
calculation that a version of BMW (Birman--Murakami--Wenzl) algebra is obeyed
by five, six and seven blocks models, conjecturing that it is part of the
algebra valid for any model with more than two blocks. To establish this
conjecture, we assume that a certain ansatz holds for the baxterization of the
models. We use the Yang--Baxter equation to describe explicitly the algebra for
five blocks, obtaining $19$ additional non--trivial relations. We name this
algebra 5--CB (Conformal Braiding) algebra. Our method can be utilized to
describe the algebra for any solvable model of this type and for any number of
blocks.
| [
{
"created": "Sat, 25 Jan 2020 08:58:55 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jul 2020 17:16:13 GMT",
"version": "v2"
}
] | 2021-09-22 | [
[
"Belavin",
"Vladimir",
""
],
[
"Gepner",
"Doron",
""
]
] | We study the fused $SU(2)$ models put forward by Date et al., that are a series of models with arbitrary number of blocks, which is the degree of the polynomial equation obeyed by the Boltzmann weights. We demonstrate by a direct calculation that a version of BMW (Birman--Murakami--Wenzl) algebra is obeyed by five, six and seven blocks models, conjecturing that it is part of the algebra valid for any model with more than two blocks. To establish this conjecture, we assume that a certain ansatz holds for the baxterization of the models. We use the Yang--Baxter equation to describe explicitly the algebra for five blocks, obtaining $19$ additional non--trivial relations. We name this algebra 5--CB (Conformal Braiding) algebra. Our method can be utilized to describe the algebra for any solvable model of this type and for any number of blocks. |
1301.1631 | Derrick Kiley | Derrick Kiley | Reissner-Nordstr\"om Black Holes on a Codimension-2 Brane | Fixes typos in paper; conclusions unchanged | null | 10.1103/PhysRevD.87.044042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here we derive the exact Reissner-Nordstr\"om black hole solution on a
tensional codimension-2 brane, generalizing earlier Schwarzschild and Kerr
results. We begin by briefly reviewing various aspects of codimension-2 branes
that will be important for our analysis, including the mechanism of
"offloading" of brane tension into the bulk that is unique to these branes, as
well as the explicit construction of the codimension-2 Schwarzschild black hole
as a warm-up exercise. We then show that the same methods can be used to find
the metric describing the spacetime surrounding an electrically-charged point
source threaded by a codimension-2 brane. The presence of the brane tension
leads to an amplification of the apparent strength of gravity, as is
well-known, and we further find exactly the same enhancement for the apparent
strength of the electric field.
| [
{
"created": "Tue, 8 Jan 2013 18:49:45 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2013 19:35:26 GMT",
"version": "v2"
}
] | 2013-03-14 | [
[
"Kiley",
"Derrick",
""
]
] | Here we derive the exact Reissner-Nordstr\"om black hole solution on a tensional codimension-2 brane, generalizing earlier Schwarzschild and Kerr results. We begin by briefly reviewing various aspects of codimension-2 branes that will be important for our analysis, including the mechanism of "offloading" of brane tension into the bulk that is unique to these branes, as well as the explicit construction of the codimension-2 Schwarzschild black hole as a warm-up exercise. We then show that the same methods can be used to find the metric describing the spacetime surrounding an electrically-charged point source threaded by a codimension-2 brane. The presence of the brane tension leads to an amplification of the apparent strength of gravity, as is well-known, and we further find exactly the same enhancement for the apparent strength of the electric field. |
hep-th/0507058 | Bogdan Florea | Duiliu-Emanuel Diaconescu, Bogdan Florea | The Ruled Vertex and D-E Degenerations | 11 pages, 2 figures | JHEP 0509 (2005) 044 | 10.1088/1126-6708/2005/09/044 | null | hep-th | null | We compute all genus topological amplitudes on configurations of ruled
surfaces obtained by resolving lines of D-E singularities in compact Calabi-Yau
threefolds. We find that our results are in agreement with genus zero mirror
symmetry calculations, which is further evidence for the ruled vertex formalism
for degenerate torus actions.
| [
{
"created": "Wed, 6 Jul 2005 14:55:06 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2005 18:57:14 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Diaconescu",
"Duiliu-Emanuel",
""
],
[
"Florea",
"Bogdan",
""
]
] | We compute all genus topological amplitudes on configurations of ruled surfaces obtained by resolving lines of D-E singularities in compact Calabi-Yau threefolds. We find that our results are in agreement with genus zero mirror symmetry calculations, which is further evidence for the ruled vertex formalism for degenerate torus actions. |
0707.1422 | Harvendra Singh | Shibaji Roy and Harvendra Singh | Alpha-prime corrections to space-like branes | 18 pp; v2: Major changes in the constant dilaton backgrounds and some
sections are rearranged | JHEP 0710:007,2007 | 10.1088/1126-6708/2007/10/007 | null | hep-th | null | Space-like branes or S-branes are certain class of time dependent solutions
of M/string theories having isometries ISO(p+1) $\times$ SO(d-p-2,1), where
$d=11,10$ respectively and have singularities at t=0. In \cite{Roy:2006du}, we
found that the asymptotically flat S-branes have the structure of generalized
Kasner geometry near t=0. In this work we evaluate higher order $\alpha'$
corrections perturbatively to the heterotic string Kasner backgrounds to probe
the singularity at t=0. We generally find that the perturbative corrections do
not permit us to reach the singular point, as the supergravity framework fails
near $t \sim {\sqrt \alpha'}$ blurring the origin of space-like singularities.
This is analogous to the concept of stretched horizons in the case of black
holes.
| [
{
"created": "Tue, 10 Jul 2007 12:10:44 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2007 10:00:37 GMT",
"version": "v2"
}
] | 2009-11-18 | [
[
"Roy",
"Shibaji",
""
],
[
"Singh",
"Harvendra",
""
]
] | Space-like branes or S-branes are certain class of time dependent solutions of M/string theories having isometries ISO(p+1) $\times$ SO(d-p-2,1), where $d=11,10$ respectively and have singularities at t=0. In \cite{Roy:2006du}, we found that the asymptotically flat S-branes have the structure of generalized Kasner geometry near t=0. In this work we evaluate higher order $\alpha'$ corrections perturbatively to the heterotic string Kasner backgrounds to probe the singularity at t=0. We generally find that the perturbative corrections do not permit us to reach the singular point, as the supergravity framework fails near $t \sim {\sqrt \alpha'}$ blurring the origin of space-like singularities. This is analogous to the concept of stretched horizons in the case of black holes. |
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