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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2302.14862 | Juven C. Wang | Pavel Putrov, Juven Wang | Categorical Symmetry of the Standard Model from Gravitational Anomaly | 34 pages. v2: refinements with new tables and appendices, including
discussions on Atiyah's 2-framing and $p_1$ structures | null | null | null | hep-th cond-mat.str-el gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | In the Standard Model, some combination of the baryon $\bf B$ and lepton $\bf
L$ number symmetry is free of mixed anomalies with strong and electroweak
$su(3) \times su(2) \times u(1)_{\tilde Y}$ gauge forces. However, it can still
suffer from a mixed gravitational anomaly, hypothetically pertinent to
leptogenesis in the very early universe. This happens when the total "sterile
right-handed" neutrino number $n_{\nu_R}$ is not equal to the family number
$N_f$. Thus the invertible $\bf B - L$ symmetry current conservation can be
violated quantum mechanically by gravitational backgrounds such as
gravitational instantons. In specific, we show that a noninvertible categorical
$\bf B - L$ generalized symmetry still survives in gravitational backgrounds.
In general, we propose a construction of noninvertible symmetry charge
operators as topological defects derived from invertible anomalous symmetries
that suffer from mixed gravitational anomalies. Examples include the
perturbative local and nonperturbative global anomalies classified by
$\mathbb{Z}$ and $\mathbb{Z}_{16}$ respectively. For this construction, we
utilize the anomaly inflow bulk-boundary correspondence, the 4d Pontryagin
class and the gravitational Chern-Simons 3-form, the 3d
Witten-Reshetikhin-Turaev-type topological quantum field theory corresponding
to a 2d rational conformal field theory with an appropriate rational chiral
central charge, and the 4d $\mathbb{Z}_4^{\rm TF}$-time-reversal symmetric
topological superconductor with 3d boundary topological order.
| [
{
"created": "Tue, 28 Feb 2023 18:59:50 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Oct 2023 17:45:45 GMT",
"version": "v2"
}
] | 2023-10-31 | [
[
"Putrov",
"Pavel",
""
],
[
"Wang",
"Juven",
""
]
] | In the Standard Model, some combination of the baryon $\bf B$ and lepton $\bf L$ number symmetry is free of mixed anomalies with strong and electroweak $su(3) \times su(2) \times u(1)_{\tilde Y}$ gauge forces. However, it can still suffer from a mixed gravitational anomaly, hypothetically pertinent to leptogenesis in the very early universe. This happens when the total "sterile right-handed" neutrino number $n_{\nu_R}$ is not equal to the family number $N_f$. Thus the invertible $\bf B - L$ symmetry current conservation can be violated quantum mechanically by gravitational backgrounds such as gravitational instantons. In specific, we show that a noninvertible categorical $\bf B - L$ generalized symmetry still survives in gravitational backgrounds. In general, we propose a construction of noninvertible symmetry charge operators as topological defects derived from invertible anomalous symmetries that suffer from mixed gravitational anomalies. Examples include the perturbative local and nonperturbative global anomalies classified by $\mathbb{Z}$ and $\mathbb{Z}_{16}$ respectively. For this construction, we utilize the anomaly inflow bulk-boundary correspondence, the 4d Pontryagin class and the gravitational Chern-Simons 3-form, the 3d Witten-Reshetikhin-Turaev-type topological quantum field theory corresponding to a 2d rational conformal field theory with an appropriate rational chiral central charge, and the 4d $\mathbb{Z}_4^{\rm TF}$-time-reversal symmetric topological superconductor with 3d boundary topological order. |
1507.01582 | Stephan Stieberger | Georg Puhlfuerst and Stephan Stieberger | Differential Equations, Associators, and Recurrences for Amplitudes | 59 pages, LaTeX; v2: Added Eq. (4.37) expressing the
epsilon-expansion of specific generalized hypergeometric functions for any x
in terms of the appropriate fundamental and universal solution (4.36) of the
KZ equation. v3: Typos removed; final version to appear in Nucl. Phys. B | null | 10.1016/j.nuclphysb.2015.11.005 | MPP-2015-150 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide new methods to straightforwardly obtain compact and analytic
expressions for epsilon-expansions of functions appearing in both field and
string theory amplitudes. An algebraic method is presented to explicitly solve
for recurrence relations connecting different epsilon-orders of a power series
solution in epsilon of a differential equation. This strategy generalizes the
usual iteration by Picard's method. Our tools are demonstrated for generalized
hypergeometric functions. Furthermore, we match the epsilon-expansion of
specific generalized hypergeometric functions with the underlying Drinfeld
associator with proper Lie algebra and monodromy representations. We also apply
our tools for computing epsilon-expansions for solutions to generic first-order
Fuchsian equations (Schlesinger system). Finally, we set up our methods to
systematically get compact and explicit alpha'-expansions of tree-level
superstring amplitudes to any order in alpha'.
| [
{
"created": "Mon, 6 Jul 2015 19:57:30 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jul 2015 17:15:24 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Nov 2015 16:10:53 GMT",
"version": "v3"
}
] | 2016-01-20 | [
[
"Puhlfuerst",
"Georg",
""
],
[
"Stieberger",
"Stephan",
""
]
] | We provide new methods to straightforwardly obtain compact and analytic expressions for epsilon-expansions of functions appearing in both field and string theory amplitudes. An algebraic method is presented to explicitly solve for recurrence relations connecting different epsilon-orders of a power series solution in epsilon of a differential equation. This strategy generalizes the usual iteration by Picard's method. Our tools are demonstrated for generalized hypergeometric functions. Furthermore, we match the epsilon-expansion of specific generalized hypergeometric functions with the underlying Drinfeld associator with proper Lie algebra and monodromy representations. We also apply our tools for computing epsilon-expansions for solutions to generic first-order Fuchsian equations (Schlesinger system). Finally, we set up our methods to systematically get compact and explicit alpha'-expansions of tree-level superstring amplitudes to any order in alpha'. |
0711.2035 | Teake Nutma | Eric Bergshoeff, Joaquim Gomis, Teake Nutma, Diederik Roest | Kac-Moody Spectrum of (Half-)Maximal Supergravities | Added references, published version | JHEP0802:069,2008 | 10.1088/1126-6708/2008/02/069 | UG-07-06, UB-ECM-PF-07/24, CERN-PH-TH/2007-165 | hep-th | null | We establish the correspondence between, on one side, the possible gaugings
and massive deformations of half-maximal supergravity coupled to vector
multiplets and, on the other side, certain generators of the associated very
extended Kac-Moody algebras. The difference between generators associated to
gaugings and to massive deformations is pointed out. Furthermore, we argue that
another set of generators are related to the so-called quadratic constraints of
the embedding tensor. Special emphasis is placed on a truncation of the
Kac-Moody algebra that is related to the bosonic gauge transformations of
supergravity. We give a separate discussion of this truncation when non-zero
deformations are present. The new insights are also illustrated in the context
of maximal supergravity.
| [
{
"created": "Tue, 13 Nov 2007 17:20:46 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2008 10:35:43 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Nutma",
"Teake",
""
],
[
"Roest",
"Diederik",
""
]
] | We establish the correspondence between, on one side, the possible gaugings and massive deformations of half-maximal supergravity coupled to vector multiplets and, on the other side, certain generators of the associated very extended Kac-Moody algebras. The difference between generators associated to gaugings and to massive deformations is pointed out. Furthermore, we argue that another set of generators are related to the so-called quadratic constraints of the embedding tensor. Special emphasis is placed on a truncation of the Kac-Moody algebra that is related to the bosonic gauge transformations of supergravity. We give a separate discussion of this truncation when non-zero deformations are present. The new insights are also illustrated in the context of maximal supergravity. |
1909.09041 | Shun'ya Mizoguchi | Shun'ya Mizoguchi, Hajime Otsuka and Hitomi Tashiro | Unitary matrix with a Penner-like potential also yields N_f=2 | 11 pages. v2: references added. To appear in Phys.Lett.B | null | 10.1016/j.physletb.2019.135075 | KEK-TH-2156 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been known for some time that a hermitian matrix model with a
Penner-like potential yields as its large-N free energy the prepotential of N=2
N_f=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix
model with the identical potential also yields the same prepotential, although
the parameter identifications are slightly different. This result has been
anticipated by Itoyama et. al.
| [
{
"created": "Thu, 19 Sep 2019 15:15:47 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2019 09:54:22 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Otsuka",
"Hajime",
""
],
[
"Tashiro",
"Hitomi",
""
]
] | It has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 N_f=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, although the parameter identifications are slightly different. This result has been anticipated by Itoyama et. al. |
1005.0196 | Marc Bellon | Marc Bellon (LPTHE) | An Efficient Method for the Solution of Schwinger--Dyson equations for
propagators | 9 pages, no figures. Match of the published version, with the
corrections in proof | Letters in Mathematical Physics 94, 1 (2010) 77-86 | 10.1007/s11005-010-0415-3 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Efficient computation methods are devised for the perturbative solution of
Schwinger--Dyson equations for propagators. We show how a simple computation
allows to obtain the dominant contribution in the sum of many parts of previous
computations. This allows for an easy study of the asymptotic behavior of the
perturbative series. In the cases of the four-dimensional supersymmetric
Wess--Zumino model and the $\phi_6^3$ complex scalar field, the singularities
of the Borel transform for both positive and negative values of the parameter
are obtained and compared.
| [
{
"created": "Mon, 3 May 2010 06:34:59 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2010 05:38:08 GMT",
"version": "v2"
}
] | 2010-09-30 | [
[
"Bellon",
"Marc",
"",
"LPTHE"
]
] | Efficient computation methods are devised for the perturbative solution of Schwinger--Dyson equations for propagators. We show how a simple computation allows to obtain the dominant contribution in the sum of many parts of previous computations. This allows for an easy study of the asymptotic behavior of the perturbative series. In the cases of the four-dimensional supersymmetric Wess--Zumino model and the $\phi_6^3$ complex scalar field, the singularities of the Borel transform for both positive and negative values of the parameter are obtained and compared. |
hep-th/0402097 | Alexei Vladimirov | A.A.Vladimirov | Lectures on integrable hierarchies and vertex operators | AMSLaTeX, 28 pages. Lectures given at the 2004 DIAS-TH Winter school
on theoretical physics in Dubna, Russia. Last updates and other lecture notes
are available at http://thsun1.jinr.ru/~alvladim/qft.html | null | null | null | hep-th | null | This is a write-up of lectures intended for (under)graduate students.
Contents: Scalar Ansatz (KP hierarchy). Fermionic Fock space. Fermi-Bose
correspondence. KP hierarchy via free fermions. Formal distributions and
locality. Operator product expansion. Vertex algebras. Free fermions. Virasoro
algebra in KdV.
| [
{
"created": "Thu, 12 Feb 2004 17:12:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vladimirov",
"A. A.",
""
]
] | This is a write-up of lectures intended for (under)graduate students. Contents: Scalar Ansatz (KP hierarchy). Fermionic Fock space. Fermi-Bose correspondence. KP hierarchy via free fermions. Formal distributions and locality. Operator product expansion. Vertex algebras. Free fermions. Virasoro algebra in KdV. |
hep-th/0210214 | Tai Tsun Wu | Jean Nuyts and Tai Tsun Wu | Yang-Mills theory for non-semisimple groups | 16 pages, no figures, prepared with ReVTeX4 | Phys.Rev. D67 (2003) 025014 | 10.1103/PhysRevD.67.025014 | CERN-TH/2002-178 | hep-th | null | For semisimple groups, possibly multiplied by U(1)'s, the number of
Yang-Mills gauge fields is equal to the number of generators of the group. In
this paper, it is shown that, for non-semisimple groups, the number of
Yang-Mills fields can be larger. These additional Yang-Mills fields are not
irrelevant because they appear in the gauge transformations of the original
Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical
consequences worth studying. The non-semisimple group with only two generators
that do not commute is studied in detail.
| [
{
"created": "Tue, 22 Oct 2002 14:12:47 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Nuyts",
"Jean",
""
],
[
"Wu",
"Tai Tsun",
""
]
] | For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such non-semisimple Yang-Mills theories may lead to physical consequences worth studying. The non-semisimple group with only two generators that do not commute is studied in detail. |
0708.4046 | My. Brahim Sedra | A. El Boukili, M. B. Sedra, A. Zemate | Super Gelfand-Dickey Algebra And Integrable Models | 24 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present in this work a systematic study of integrable models and
supersymmetric extensions of the Gelfand-Dickey algebra of pseudo differential
operators. We describe in detail the relation existing between the algebra of
super pseudo-differential operators on the ring of superfields
$u_{\frac{s}{2}}(z,\theta),s\in Z$ and the higher and lower spin extensions of
the conformal algebra.
| [
{
"created": "Thu, 30 Aug 2007 00:33:26 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2009 00:42:02 GMT",
"version": "v2"
}
] | 2009-01-28 | [
[
"Boukili",
"A. El",
""
],
[
"Sedra",
"M. B.",
""
],
[
"Zemate",
"A.",
""
]
] | We present in this work a systematic study of integrable models and supersymmetric extensions of the Gelfand-Dickey algebra of pseudo differential operators. We describe in detail the relation existing between the algebra of super pseudo-differential operators on the ring of superfields $u_{\frac{s}{2}}(z,\theta),s\in Z$ and the higher and lower spin extensions of the conformal algebra. |
hep-th/0601177 | Sergei Kuzenko | Sergei M. Kuzenko | On compactified harmonic/projective superspace, 5D superconformal
theories, and all that | 41 pages, no figures; V2: typos corrected; V3: typos on page 20
corrected | Nucl.Phys.B745:176-207,2006 | 10.1016/j.nuclphysb.2006.03.019 | null | hep-th | null | Within the supertwistor approach, we analyse the superconformal structure of
4D N = 2 compactified harmonic/projective superspace. In the case of 5D
superconformal symmetry, we derive the superconformal Killing vectors and
related building blocks which emerge in the transformation laws of primary
superfields. Various off-shell superconformal multiplets are presented both in
5D harmonic and projective superspaces, including the so-called tropical
(vector) multiplet and polar (hyper)multiplet. Families of superconformal
actions are described both in the 5D harmonic and projective superspace
settings. We also present examples of 5D superconformal theories with gauged
central charge.
| [
{
"created": "Tue, 24 Jan 2006 08:37:12 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2006 05:49:56 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jul 2007 04:29:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kuzenko",
"Sergei M.",
""
]
] | Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building blocks which emerge in the transformation laws of primary superfields. Various off-shell superconformal multiplets are presented both in 5D harmonic and projective superspaces, including the so-called tropical (vector) multiplet and polar (hyper)multiplet. Families of superconformal actions are described both in the 5D harmonic and projective superspace settings. We also present examples of 5D superconformal theories with gauged central charge. |
hep-th/0511125 | Daniel Nogradi | Daniel Nogradi | Multi-calorons and their moduli | PhD thesis, 109 pages, 24 figures | null | null | null | hep-th | null | Pure Yang-Mills instantons are considered on S^1 x R^3 -- so-called calorons.
The holonomy -- or Polyakov loop around the thermal S^1 at spatial infinity --
is assumed to be a non-centre element of the gauge group SU(n) as most
appropriate for QCD applications in the confined phase. It is shown that a
charge k caloron can be seen as a collection of nk massive magnetic monopoles
each carrying fractional topological charge. This interpretation offers a
physically appealing way of introducing monopole degrees of freedom into pure
gluodynamics: as constituents of finite temperature instantons. New and exact
solutions are found along with the fermionic zero-modes of the Dirac operator.
The properties of the zero-modes are analysed as well as the hyperkahler and
twistor geometry of the caloron moduli space. Lattice gauge theoretic
applications are also mentioned.
| [
{
"created": "Fri, 11 Nov 2005 11:49:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nogradi",
"Daniel",
""
]
] | Pure Yang-Mills instantons are considered on S^1 x R^3 -- so-called calorons. The holonomy -- or Polyakov loop around the thermal S^1 at spatial infinity -- is assumed to be a non-centre element of the gauge group SU(n) as most appropriate for QCD applications in the confined phase. It is shown that a charge k caloron can be seen as a collection of nk massive magnetic monopoles each carrying fractional topological charge. This interpretation offers a physically appealing way of introducing monopole degrees of freedom into pure gluodynamics: as constituents of finite temperature instantons. New and exact solutions are found along with the fermionic zero-modes of the Dirac operator. The properties of the zero-modes are analysed as well as the hyperkahler and twistor geometry of the caloron moduli space. Lattice gauge theoretic applications are also mentioned. |
1408.6380 | Pablo Bueno | Pablo Bueno and Pedro F. Ramirez | Higher-curvature corrections to holographic entanglement entropy in
geometries with hyperscaling violation | 31+1 pages, 3 figures; v4: minor corrections, references added | null | 10.1007/JHEP12(2014)078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of including higher-curvature corrections to the
Einstein gravity bulk action on the holographic entanglement entropy (HEE)
expression for geometries with hyperscaling violation (hvLf). For $\theta< 0$
we show that one single new divergence arises for general curvature-squared
gravities, which allows us to conjecture the general expression of HEE for any
higher-order gravity action. For $0<\theta<d$, we assume the hvLf geometry to
arise above some intermediate scale $r_F$, becoming AdS in the UV and perform a
similar analysis for $R^n$ gravities. For negative values of $\theta$ we find
that new logarithmic contributions show up in the HEE formula for any
$n$th-order gravity when $\theta=d(d-1)/(d-2(n-1))$ and $d<2(n-1)$. In the
range $0\leq \theta<d$ we do not find additional logarithmic contributions
appearing at any order except for $n=1$, which corresponds to the famous case
$\theta=d-1$ encountered in Einstein gravity.
| [
{
"created": "Wed, 27 Aug 2014 10:51:07 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 15:31:58 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Oct 2014 17:06:55 GMT",
"version": "v3"
},
{
"created": "Mon, 24 Nov 2014 15:18:40 GMT",
"version": "v4"
}
] | 2015-06-22 | [
[
"Bueno",
"Pablo",
""
],
[
"Ramirez",
"Pedro F.",
""
]
] | We study the effects of including higher-curvature corrections to the Einstein gravity bulk action on the holographic entanglement entropy (HEE) expression for geometries with hyperscaling violation (hvLf). For $\theta< 0$ we show that one single new divergence arises for general curvature-squared gravities, which allows us to conjecture the general expression of HEE for any higher-order gravity action. For $0<\theta<d$, we assume the hvLf geometry to arise above some intermediate scale $r_F$, becoming AdS in the UV and perform a similar analysis for $R^n$ gravities. For negative values of $\theta$ we find that new logarithmic contributions show up in the HEE formula for any $n$th-order gravity when $\theta=d(d-1)/(d-2(n-1))$ and $d<2(n-1)$. In the range $0\leq \theta<d$ we do not find additional logarithmic contributions appearing at any order except for $n=1$, which corresponds to the famous case $\theta=d-1$ encountered in Einstein gravity. |
2001.07258 | Yi-Nan Wang | Yi-Nan Wang | On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$ | v4, 32 pages | null | 10.1007/JHEP05(2020)043 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we explicitly construct the smooth compact base threefold for
the elliptic Calabi-Yau fourfold with the largest known $h^{1,1}=303\,148$. It
is generated by blowing up a smooth toric "seed" base threefold with
$(E_8,E_8,E_8)$ collisions. The 4d F-theory compactification model over it has
the largest geometric gauge group, $E_8^{2\,561}\times F_4^{7\,576}\times
G_2^{20\,168}\times SU(2)^{30\,200}$, and the largest number of axions,
$181\,820$, in the known 4d $\mathcal{N}=1$ supergravity landscape. We also
prove that there are at least $1100^{15\,048}\approx 7.5\times 10^{45\,766}$
different flip and flop phases of this base threefold. Moreover, we find that
many other base threefolds with large $h^{1,1}$ in the 4d F-theory landscape
can be constructed in a similar way as well.
| [
{
"created": "Mon, 20 Jan 2020 21:25:38 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2020 20:57:53 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Feb 2020 20:41:55 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Apr 2020 20:22:05 GMT",
"version": "v4"
}
] | 2020-06-24 | [
[
"Wang",
"Yi-Nan",
""
]
] | In this paper, we explicitly construct the smooth compact base threefold for the elliptic Calabi-Yau fourfold with the largest known $h^{1,1}=303\,148$. It is generated by blowing up a smooth toric "seed" base threefold with $(E_8,E_8,E_8)$ collisions. The 4d F-theory compactification model over it has the largest geometric gauge group, $E_8^{2\,561}\times F_4^{7\,576}\times G_2^{20\,168}\times SU(2)^{30\,200}$, and the largest number of axions, $181\,820$, in the known 4d $\mathcal{N}=1$ supergravity landscape. We also prove that there are at least $1100^{15\,048}\approx 7.5\times 10^{45\,766}$ different flip and flop phases of this base threefold. Moreover, we find that many other base threefolds with large $h^{1,1}$ in the 4d F-theory landscape can be constructed in a similar way as well. |
2209.06818 | Sanjit Shashi | Elena Caceres, Sanjit Shashi | Anisotropic Flows into Black Holes | 23 pages (including appendices) + references, 7 figures; v3: added
appendix proving NEC in holographic p-wave superfluid + minor clarifications
and corrections, version to appear in JHEP | null | 10.1007/JHEP01(2023)007 | UTWI-01-2022 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider anisotropic black holes in the context of holographic
renormalization group (RG) flows. We construct an $a$-function that is
stationary at the boundary and the horizon and prove that it is also monotonic
in both the exterior and the interior of the black hole. In spite of the
reduced symmetry, we find that the "radial" null energy condition is sufficient
to ensure the existence of this monotonic $a$-function. After constructing the
$a$-function, we explore a holographic anisotropic $p$-wave superfluid state as
a concrete example and numerical testing grounds. In doing so, we find that the
$a$-function exhibits nontrivial oscillations in the trans-IR regime while
preserving monotonicity. We find evidence that such oscillations appear to
drive the trans-IR flow into nontrivial fixed points. We conclude by briefly
discussing how our work fits into both the broader program of holographic RG
flow and quantum information approaches to probing the black hole interior.
| [
{
"created": "Wed, 14 Sep 2022 17:59:59 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Sep 2022 21:17:19 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Dec 2022 19:06:52 GMT",
"version": "v3"
}
] | 2023-01-09 | [
[
"Caceres",
"Elena",
""
],
[
"Shashi",
"Sanjit",
""
]
] | We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an $a$-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the "radial" null energy condition is sufficient to ensure the existence of this monotonic $a$-function. After constructing the $a$-function, we explore a holographic anisotropic $p$-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the $a$-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. We find evidence that such oscillations appear to drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior. |
1212.1723 | Johanna Karouby | Johanna Karouby | String melting in a photon bath | 30 pages, 6 figures, references added, changes made to match accepted
version in JCAP | null | 10.1088/1475-7516/2013/10/017 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the decay rate of a metastable cosmic string in contact with a
thermal bath by finding the instanton solution. The new feature is that this
decay rate is found in the context of non thermal scalar fields in contact with
a thermal bath of photons. In general, to make topologically unstable strings
stable, one can couple them to such a bath. The resulting plasma effect creates
metastable configurations which can decay from the false vacuum to the true
vacuum. In our specific set-up, the instanton computation is realized for the
case of two out-of-equilibrium complex scalar fields : one is charged and
coupled to the photon field, and the other is neutral. New effects coming from
the thermal bath of photons make the radius of the nucleated bubble and most of
the relevant physical quantities temperature-dependent. However, the
temperature appears in a different way than in the purely thermal case, where
all scalar fields are in thermal equilibrium. As a result of the tunneling, the
core of the initial string melts while bubbles of true vacuum expand at the
speed of light.
| [
{
"created": "Fri, 7 Dec 2012 21:12:17 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2013 14:09:00 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Sep 2013 19:12:00 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Karouby",
"Johanna",
""
]
] | We compute the decay rate of a metastable cosmic string in contact with a thermal bath by finding the instanton solution. The new feature is that this decay rate is found in the context of non thermal scalar fields in contact with a thermal bath of photons. In general, to make topologically unstable strings stable, one can couple them to such a bath. The resulting plasma effect creates metastable configurations which can decay from the false vacuum to the true vacuum. In our specific set-up, the instanton computation is realized for the case of two out-of-equilibrium complex scalar fields : one is charged and coupled to the photon field, and the other is neutral. New effects coming from the thermal bath of photons make the radius of the nucleated bubble and most of the relevant physical quantities temperature-dependent. However, the temperature appears in a different way than in the purely thermal case, where all scalar fields are in thermal equilibrium. As a result of the tunneling, the core of the initial string melts while bubbles of true vacuum expand at the speed of light. |
1212.6071 | Mikhail A. Vasiliev | M. A. Vasiliev | Multiparticle extension of the higher-spin algebra | 39 pages, V2: typos corrected, references, clarifications and a new
section on the relation with the current operator algebra are added; V3:
clarifications added, typos corrected, the version to be published in CQG | null | 10.1088/0264-9381/30/10/104006 | FIAN/TD/26-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Multiparticle extension of a higher-spin algebra $l$ is introduced as the Lie
superalgebra associated with the universal enveloping algebra $U(l)$. While
conventional higher-spin symmetry does not mix $n$-particle states with
different $n$, multiparticle symmetries do so. Quotients of multiparticle
algebras are considered, that act on the space of $n$-particle states with
$0\leq n\leq k$ analogous to the space of first $k$ Regge trajectories of
String Theory. Original higher-spin algebra is reproduced at $k=1$. Full
multiparticle algebras are conjectured to describe vacuum symmetries of
string-like extensions of higher-spin gauge theories. Relation of the
multiparticle algebras with 3d current operator algebras is described. The
central charge parameter, to be related to the parameter ${\mathcal N}$ in
$AdS/CFT$ correspondence, enters via the definition of supertrace. Extension to
higher $p$-brane-like symmetries is introduced inductively.
| [
{
"created": "Tue, 25 Dec 2012 17:49:06 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2013 22:13:59 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Apr 2013 22:39:39 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Vasiliev",
"M. A.",
""
]
] | Multiparticle extension of a higher-spin algebra $l$ is introduced as the Lie superalgebra associated with the universal enveloping algebra $U(l)$. While conventional higher-spin symmetry does not mix $n$-particle states with different $n$, multiparticle symmetries do so. Quotients of multiparticle algebras are considered, that act on the space of $n$-particle states with $0\leq n\leq k$ analogous to the space of first $k$ Regge trajectories of String Theory. Original higher-spin algebra is reproduced at $k=1$. Full multiparticle algebras are conjectured to describe vacuum symmetries of string-like extensions of higher-spin gauge theories. Relation of the multiparticle algebras with 3d current operator algebras is described. The central charge parameter, to be related to the parameter ${\mathcal N}$ in $AdS/CFT$ correspondence, enters via the definition of supertrace. Extension to higher $p$-brane-like symmetries is introduced inductively. |
hep-th/0407091 | David Clements J. | D. J. Clements | Supersymmetry and Phenomenology of Heterotic and Type I Superstring
Models | null | null | null | null | hep-th | null | This thesis is the discussion of heterotic and type I string phenomenology.
The heterotic string model is based on the free--fermionic formalism. This is
the first case where non--Abelian VEV's, as opposed to singlet VEV's are
required for the cancellation of the Fayet--Iliopoulos term. It is noted that
non--Abelian fields are the only fields that can give rise to the satisfaction
of the D--flat constraints in this model.
The type I models are based on T^6/Z_2x(Z_2)^s and T^6/Z_2xZ_2x(Z_2)^s
compactifications. The first example has N=2 supersymmetry and includes a rank
reduction of the D5 gauge groups as a result of using a freely acting Kaluza
Klein shift Z_2^s. The second case is an N=1 model. One has a choice of sign
epsilon=+/-1 from terms not related to the principle orbits by S and T
transformations. This allows the breaking of supersymmetry with the
introduction of antibranes. For epsilon=-1 there is a problem with respect to
particle interpretation.
I magnetize the T^6/Z_2xZ_2 model for the epsilon=-1 case. This leads to
tadpole complications for the g and f twisted sectors, but allows the h twisted
sector to behave normally.
| [
{
"created": "Mon, 12 Jul 2004 17:35:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Clements",
"D. J.",
""
]
] | This thesis is the discussion of heterotic and type I string phenomenology. The heterotic string model is based on the free--fermionic formalism. This is the first case where non--Abelian VEV's, as opposed to singlet VEV's are required for the cancellation of the Fayet--Iliopoulos term. It is noted that non--Abelian fields are the only fields that can give rise to the satisfaction of the D--flat constraints in this model. The type I models are based on T^6/Z_2x(Z_2)^s and T^6/Z_2xZ_2x(Z_2)^s compactifications. The first example has N=2 supersymmetry and includes a rank reduction of the D5 gauge groups as a result of using a freely acting Kaluza Klein shift Z_2^s. The second case is an N=1 model. One has a choice of sign epsilon=+/-1 from terms not related to the principle orbits by S and T transformations. This allows the breaking of supersymmetry with the introduction of antibranes. For epsilon=-1 there is a problem with respect to particle interpretation. I magnetize the T^6/Z_2xZ_2 model for the epsilon=-1 case. This leads to tadpole complications for the g and f twisted sectors, but allows the h twisted sector to behave normally. |
hep-th/0109092 | Tuan A. Tran | Tuan A. Tran (Texas A&M University) | Gauged Supergravities from Spherical Reductions | Ph.D. dessertation (Advisor: Christopher N. Pope) | null | null | null | hep-th | null | This dissertation is devoted to deriving the bosonic sectors of certain
gauged supergravities in various dimensions from reducing eleven-dimensional
supergravity, type IIA and type IIB supergravities in ten dimensions on certain
spherical spaces. Explicit non-linear Kaluza-Klein ans\"atze for reductions of
eleven-dimensional supergravity and of type IIA and type IIB supergravities on
$S^n$ and $S^n\times T^m$ are presented. Knowing explicit non-linear ans\"atze
is proven to be very useful in finding super Yang-Mills operators of gauge
theories via AdS/CFT correspondence. We present a sample calculation which
allows us to find a super Yang-Mills operator using a non-linear ansatz.
Knowing non-linear ans\"atze is also useful for finding supergravity duals to
certain twisted supersymmetric gauge theories. These supergravity solutions are
branes wrapped on certain supersymmetric cycles. Some solutions, which are dual
to gauge theories in three and five dimensions, are presented.
| [
{
"created": "Tue, 11 Sep 2001 19:06:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tran",
"Tuan A.",
"",
"Texas A&M University"
]
] | This dissertation is devoted to deriving the bosonic sectors of certain gauged supergravities in various dimensions from reducing eleven-dimensional supergravity, type IIA and type IIB supergravities in ten dimensions on certain spherical spaces. Explicit non-linear Kaluza-Klein ans\"atze for reductions of eleven-dimensional supergravity and of type IIA and type IIB supergravities on $S^n$ and $S^n\times T^m$ are presented. Knowing explicit non-linear ans\"atze is proven to be very useful in finding super Yang-Mills operators of gauge theories via AdS/CFT correspondence. We present a sample calculation which allows us to find a super Yang-Mills operator using a non-linear ansatz. Knowing non-linear ans\"atze is also useful for finding supergravity duals to certain twisted supersymmetric gauge theories. These supergravity solutions are branes wrapped on certain supersymmetric cycles. Some solutions, which are dual to gauge theories in three and five dimensions, are presented. |
1511.01244 | Damiano Anselmi | Damiano Anselmi | Background field method and the cohomology of renormalization | 27 pages; v2: more references, PRD version | Phys. Rev. D 93, 065034 (2016) | 10.1103/PhysRevD.93.065034 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the background field method and the Batalin-Vilkovisky formalism, we
prove a key theorem on the cohomology of perturbatively local functionals of
arbitrary ghost numbers, in renormalizable and nonrenormalizable quantum field
theories whose gauge symmetries are general covariance, local Lorentz symmetry,
non-Abelian Yang-Mills symmetries and Abelian gauge symmetries. Interpolating
between the background field approach and the usual, nonbackground approach by
means of a canonical transformation, we take advantage of the properties of
both approaches and prove that a closed functional is the sum of an exact
functional plus a functional that depends only on the physical fields and
possibly the ghosts. The assumptions of the theorem are the mathematical
versions of general properties that characterize the counterterms and the local
contributions to the potential anomalies. This makes the outcome a theorem on
the cohomology of renormalization, rather than the whole local cohomology. The
result supersedes numerous involved arguments that are available in the
literature.
| [
{
"created": "Wed, 4 Nov 2015 08:51:52 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Apr 2016 08:37:55 GMT",
"version": "v2"
}
] | 2016-04-06 | [
[
"Anselmi",
"Damiano",
""
]
] | Using the background field method and the Batalin-Vilkovisky formalism, we prove a key theorem on the cohomology of perturbatively local functionals of arbitrary ghost numbers, in renormalizable and nonrenormalizable quantum field theories whose gauge symmetries are general covariance, local Lorentz symmetry, non-Abelian Yang-Mills symmetries and Abelian gauge symmetries. Interpolating between the background field approach and the usual, nonbackground approach by means of a canonical transformation, we take advantage of the properties of both approaches and prove that a closed functional is the sum of an exact functional plus a functional that depends only on the physical fields and possibly the ghosts. The assumptions of the theorem are the mathematical versions of general properties that characterize the counterterms and the local contributions to the potential anomalies. This makes the outcome a theorem on the cohomology of renormalization, rather than the whole local cohomology. The result supersedes numerous involved arguments that are available in the literature. |
hep-th/9810052 | Elcio Abdalla | E. Abdalla and N. Alves | Numerical study of the decay amplitudes in two dimensional QCD | latex, 22 pages, 6 figures | null | null | null | hep-th | null | After presenting a survey of theoretical results concerning the structure of
two-dimensional QCD, we present a numerical study related to the mass
eigenstates and the decay amplitudes of higher mesonic states. We discuss in
detail the fate of important dynamical points such as stability of the spectrum
and the problem of screening versus confinement in this context. We point out
differences in the large distance behaviour of the potential, which can be
responsible for the question of stability of the spectrum, as well as whether
it is finite.
| [
{
"created": "Fri, 9 Oct 1998 00:30:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abdalla",
"E.",
""
],
[
"Alves",
"N.",
""
]
] | After presenting a survey of theoretical results concerning the structure of two-dimensional QCD, we present a numerical study related to the mass eigenstates and the decay amplitudes of higher mesonic states. We discuss in detail the fate of important dynamical points such as stability of the spectrum and the problem of screening versus confinement in this context. We point out differences in the large distance behaviour of the potential, which can be responsible for the question of stability of the spectrum, as well as whether it is finite. |
hep-th/9304039 | Hiroshi Ishikawa | H.Ishikawa and M.Kato | c=1 String as a Topological Model | 23 pages + 3 figures in PostScript, LaTeX, UT-Komaba/93-7.
Description of the $c=1$ physical spectrum in terms of topological model is
improved. Some references and new figures added. (figures are available upon
request.) | Int.J.Mod.Phys. A9 (1994) 5769-5790 | 10.1142/S0217751X94002387 | null | hep-th | null | The discrete states in the $c=1$ string are shown to be the physical states
of a certain topological sigma model. We define a set of new fields directly
from $c=1$ variables, in terms of which the BRST charge and energy-momentum
tensor are rewritten as those of the topological sigma model. Remarkably,
ground ring generator $x$ turns out to be a coordinate of the sigma model. All
of the discrete states realize a graded ring which contains ground ring as a
subset.
| [
{
"created": "Fri, 9 Apr 1993 10:39:55 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Dec 1993 10:31:09 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Dec 1993 08:43:03 GMT",
"version": "v3"
}
] | 2009-10-22 | [
[
"Ishikawa",
"H.",
""
],
[
"Kato",
"M.",
""
]
] | The discrete states in the $c=1$ string are shown to be the physical states of a certain topological sigma model. We define a set of new fields directly from $c=1$ variables, in terms of which the BRST charge and energy-momentum tensor are rewritten as those of the topological sigma model. Remarkably, ground ring generator $x$ turns out to be a coordinate of the sigma model. All of the discrete states realize a graded ring which contains ground ring as a subset. |
hep-th/0209257 | Micha Berkooz | Micha Berkooz | Double Trace Deformations, Infinite Extra Dimensions and Supersymmetry
Breaking | 22 pages, Harvmac | null | null | null | hep-th hep-ph | null | It was recently shown how to break supersymmetry in certain $AdS_3$ spaces,
without destabilizing the background, by using a ``double trace'' deformation
which localizes on the boundary of space-time. By viewing spatial sections of
$AdS_3$ as a compactification space, one can convert this into a SUSY breaking
mechanism which exists uniformly throughout a large 3+1 dimensional space-time,
without generating any dangerous tadpoles. This is a generalization of a Visser
type infinite extra dimensions compactification. Although the model is not
Lorentz invariant, the dispersion relation is relativistic at high enough
momenta, and it can be arranged such that at the same kinematical regime the
energy difference between between former members of a SUSY multiplet is large.
| [
{
"created": "Sun, 29 Sep 2002 20:04:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Berkooz",
"Micha",
""
]
] | It was recently shown how to break supersymmetry in certain $AdS_3$ spaces, without destabilizing the background, by using a ``double trace'' deformation which localizes on the boundary of space-time. By viewing spatial sections of $AdS_3$ as a compactification space, one can convert this into a SUSY breaking mechanism which exists uniformly throughout a large 3+1 dimensional space-time, without generating any dangerous tadpoles. This is a generalization of a Visser type infinite extra dimensions compactification. Although the model is not Lorentz invariant, the dispersion relation is relativistic at high enough momenta, and it can be arranged such that at the same kinematical regime the energy difference between between former members of a SUSY multiplet is large. |
hep-th/0201111 | George Papadopoulos | G. Papadopoulos | KT and HKT Geometries in Strings and in Black Hole Moduli Spaces | 26 pages, Contribution to the Proceedings of the Bonn workshop on
"Special Geometric Structures in String Theory", a change in terminology and
some other minor changes | null | null | null | hep-th math.DG | null | Some selected applications of KT and HKT geometries in string theory,
supergravity, black hole moduli spaces and hermitian geometry are reviewed. It
is shown that the moduli spaces of a large class of five-dimensional
supersymmetric black holes are HKT spaces. In hermitian geometry, it is shown
that a compact, conformally balanced, strong KT manifold whose associated KT
connection has holonomy contained in SU(n) is Calabi-Yau. The implication of
this result in the context of some string compactifications is explained.
| [
{
"created": "Tue, 15 Jan 2002 18:54:08 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2002 15:00:37 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Papadopoulos",
"G.",
""
]
] | Some selected applications of KT and HKT geometries in string theory, supergravity, black hole moduli spaces and hermitian geometry are reviewed. It is shown that the moduli spaces of a large class of five-dimensional supersymmetric black holes are HKT spaces. In hermitian geometry, it is shown that a compact, conformally balanced, strong KT manifold whose associated KT connection has holonomy contained in SU(n) is Calabi-Yau. The implication of this result in the context of some string compactifications is explained. |
1512.08367 | Philip Candelas | Volker Braun, Philip Candelas and Xenia de la Ossa | Two One-Parameter Special Geometries | 31 pages, 4 figures | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The special geometries of two recently discovered Calabi-Yau threefolds with
$h^{11}=1$ are analyzed in detail. These correspond to the 'minimal
three-generation' manifolds with $h^{21}=4$ and the `24-cell' threefolds with
$h^{21}=1$. It turns out that the one-dimensional complex structure moduli
spaces for these manifolds are both very similar and surprisingly complicated.
Both have 6 hyperconifold points and, in addition, there are singularities of
the Picard-Fuchs equation where the threefold is smooth but the Yukawa coupling
vanishes. Their fundamental periods are the generating functions of lattice
walks, and we use this fact to explain why the singularities are all at real
values of the complex structure.
| [
{
"created": "Mon, 28 Dec 2015 10:37:52 GMT",
"version": "v1"
}
] | 2015-12-29 | [
[
"Braun",
"Volker",
""
],
[
"Candelas",
"Philip",
""
],
[
"de la Ossa",
"Xenia",
""
]
] | The special geometries of two recently discovered Calabi-Yau threefolds with $h^{11}=1$ are analyzed in detail. These correspond to the 'minimal three-generation' manifolds with $h^{21}=4$ and the `24-cell' threefolds with $h^{21}=1$. It turns out that the one-dimensional complex structure moduli spaces for these manifolds are both very similar and surprisingly complicated. Both have 6 hyperconifold points and, in addition, there are singularities of the Picard-Fuchs equation where the threefold is smooth but the Yukawa coupling vanishes. Their fundamental periods are the generating functions of lattice walks, and we use this fact to explain why the singularities are all at real values of the complex structure. |
hep-th/0111038 | Peter Schupp | Peter Schupp | Non-Abelian gauge theory on noncommutative spaces | 5 pages, Talk given at International Europhysics Conference on
High-Energy Physics (HEP 2001), Budapest, Hungary, 12-18 Jul 2001 | null | null | LMU-TPW 2001-11 | hep-th | null | We present a brief introduction to the construction of gauge theories on
noncommutative spaces with star products. Particular emphasis is given to
issues related to non-Abelian gauge groups and charge quantization. This talk
is based on joined work with B. Jurco, J. Madore, L. Moeller, S. Schraml and J.
Wess.
| [
{
"created": "Mon, 5 Nov 2001 19:58:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schupp",
"Peter",
""
]
] | We present a brief introduction to the construction of gauge theories on noncommutative spaces with star products. Particular emphasis is given to issues related to non-Abelian gauge groups and charge quantization. This talk is based on joined work with B. Jurco, J. Madore, L. Moeller, S. Schraml and J. Wess. |
1406.5527 | Guillaume Bossard | Guillaume Bossard and Valentin Verschinin | Minimal unitary representations from supersymmetry | 84 pages, Corrected version for publication in JHEP, additional
comment on d^6 R^4 in four dimensions | null | 10.1007/JHEP10(2014)008 | CPHT-RR038.0614 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the supersymmetry constraints on the R^4 type corrections in
maximal supergravity in dimension 8, 6, 4 and 3, and determine the tensorial
differential equations satisfied by the function of the scalar fields
multiplying the R^4 term in the corresponding invariants. The second order
derivative of this function restricted to the Joseph ideal vanishes in
dimension lower than six. These results are extended to the d^4 R^4 and the d^6
R^4 corrections, based on the harmonic superspace construction of these
invariants in the linearised approximation. We discuss the solutions of these
differential equations and analysis the consequences on the non-perturbative
type II low energy string theory effective action.
| [
{
"created": "Fri, 20 Jun 2014 20:26:08 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 2014 16:25:00 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Bossard",
"Guillaume",
""
],
[
"Verschinin",
"Valentin",
""
]
] | We compute the supersymmetry constraints on the R^4 type corrections in maximal supergravity in dimension 8, 6, 4 and 3, and determine the tensorial differential equations satisfied by the function of the scalar fields multiplying the R^4 term in the corresponding invariants. The second order derivative of this function restricted to the Joseph ideal vanishes in dimension lower than six. These results are extended to the d^4 R^4 and the d^6 R^4 corrections, based on the harmonic superspace construction of these invariants in the linearised approximation. We discuss the solutions of these differential equations and analysis the consequences on the non-perturbative type II low energy string theory effective action. |
hep-th/0004072 | Pei-Ming Ho | Pei-Ming Ho, Miao Li | Fuzzy Spheres in AdS/CFT Correspondence and Holography from
Noncommutativity | 17 pages, one comment and reference added | Nucl.Phys. B596 (2001) 259-272 | 10.1016/S0550-3213(00)00594-0 | null | hep-th | null | We show that the existent fuzzy S^2 and S^4 models are natural candidates for
the quantum geometry on the corresponding spheres in AdS/CFT correspondence.
These models fit nicely the data from the dipole mechanism for the stringy
exclusion principle. In the AdS_2 X S^2 case, we show that a wrapped fractional
membrane can be used to count for the large ground state degeneracy. We also
propose a fuzzy AdS_2 model whose fundamental commutation relation may underlie
the UV/IR connection.
| [
{
"created": "Tue, 11 Apr 2000 14:57:05 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Apr 2000 14:55:04 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ho",
"Pei-Ming",
""
],
[
"Li",
"Miao",
""
]
] | We show that the existent fuzzy S^2 and S^4 models are natural candidates for the quantum geometry on the corresponding spheres in AdS/CFT correspondence. These models fit nicely the data from the dipole mechanism for the stringy exclusion principle. In the AdS_2 X S^2 case, we show that a wrapped fractional membrane can be used to count for the large ground state degeneracy. We also propose a fuzzy AdS_2 model whose fundamental commutation relation may underlie the UV/IR connection. |
2005.07209 | Daniel Davies | Daniel Davies | Cardy's Conjecture and the Spectrum of Infrared Strongly-Coupled Quantum
Field Theories | version 3: scope of paper reduced for clarity, 9 pages | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cardy's conjecture about the evolution of the trace anomaly under
renormalization group (RG) flows is re-interpreted as an exact,
non-perturbative statement about the scaling dimension of terms in the
Lagrangian of the theory. When viewed in this way, the conjecture implies that
field theories which are strongly coupled in the infrared (IR) may generically
host states that are not manifest as solutions to the ultraviolet (UV) complete
theory's equations of motion. In particular, the scaling dimension of operators
in the Hamiltonian may deviate from their classical values by $\mathcal{O}(1)$
corrections in the IR, circumventing an old argument by Derrick about the
non-existence of such states\cite{1}. We show that this framework provides a
natural way to estimate the masses of these states using perturbation theory,
and suggests a preferred reorganization of the degrees of freedom in the IR.
| [
{
"created": "Thu, 14 May 2020 18:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2020 23:15:04 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Apr 2021 19:54:22 GMT",
"version": "v3"
}
] | 2021-04-12 | [
[
"Davies",
"Daniel",
""
]
] | Cardy's conjecture about the evolution of the trace anomaly under renormalization group (RG) flows is re-interpreted as an exact, non-perturbative statement about the scaling dimension of terms in the Lagrangian of the theory. When viewed in this way, the conjecture implies that field theories which are strongly coupled in the infrared (IR) may generically host states that are not manifest as solutions to the ultraviolet (UV) complete theory's equations of motion. In particular, the scaling dimension of operators in the Hamiltonian may deviate from their classical values by $\mathcal{O}(1)$ corrections in the IR, circumventing an old argument by Derrick about the non-existence of such states\cite{1}. We show that this framework provides a natural way to estimate the masses of these states using perturbation theory, and suggests a preferred reorganization of the degrees of freedom in the IR. |
1507.03036 | Charles B. Thorn | Charles B. Thorn | String Bits at Finite Temperature and the Hagedorn Phase | 14 pages, 4 figures, typos corrected | Phys. Rev. D 92, 066007 (2015) | 10.1103/PhysRevD.92.066007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behavior of a simple string bit model at finite temperature. We
use thermal perturbation theory to analyze the high temperature regime. But at
low temperatures we rely on the large $N$ limit of the dynamics, for which the
exact energy spectrum is known. Since the lowest energy states at infinite $N$
are free closed strings, the $N=\infty$ partition function diverges above a
finite temperature $\beta_H^{-1}$, the Hagedorn temperature. We argue that in
these models at finite $N$, which then have a finite number of degrees of
freedom, there can be neither an ultimate temperature nor any kind of phase
transition. We discuss how the discontinuous behavior seen at infinite $N$ can
be removed at finite $N$. In this resolution the fundamental string bit degrees
of freedom become more active at temperatures near and above the Hagedorn
temperature.
| [
{
"created": "Fri, 10 Jul 2015 21:42:43 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Aug 2017 19:13:19 GMT",
"version": "v2"
}
] | 2017-08-15 | [
[
"Thorn",
"Charles B.",
""
]
] | We study the behavior of a simple string bit model at finite temperature. We use thermal perturbation theory to analyze the high temperature regime. But at low temperatures we rely on the large $N$ limit of the dynamics, for which the exact energy spectrum is known. Since the lowest energy states at infinite $N$ are free closed strings, the $N=\infty$ partition function diverges above a finite temperature $\beta_H^{-1}$, the Hagedorn temperature. We argue that in these models at finite $N$, which then have a finite number of degrees of freedom, there can be neither an ultimate temperature nor any kind of phase transition. We discuss how the discontinuous behavior seen at infinite $N$ can be removed at finite $N$. In this resolution the fundamental string bit degrees of freedom become more active at temperatures near and above the Hagedorn temperature. |
hep-th/9411182 | Sochi | S.A.Frolov, A.A.Slavnov and C.Sochichiu | Canonical quantization of the degenerate WZ action including chiral
interaction with gauge fields | 10 pages, LaTex | Int.J.Mod.Phys. A11 (1996) 747-758 | 10.1142/S0217751X96000341 | SMI-33-94 | hep-th | null | Canonical quantization of the Wess-Zumino (WZ) model including chiral
interaction with gauge field is considered for the case of a degenerate action.
The two-dimensional SU(2) Yang-Mills model and the four-dimensional SU(3)
chiral gauge model proposed in the paper \cite{fss} are studied in details.
Gauge invariance of the quantum theory is established at the formal level.
| [
{
"created": "Thu, 24 Nov 1994 16:26:51 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Frolov",
"S. A.",
""
],
[
"Slavnov",
"A. A.",
""
],
[
"Sochichiu",
"C.",
""
]
] | Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional SU(3) chiral gauge model proposed in the paper \cite{fss} are studied in details. Gauge invariance of the quantum theory is established at the formal level. |
hep-th/0505234 | Sung-Soo Kim | Sudarshan Ananth, Lars Brink, Sung-Soo Kim and Pierre Ramond | Non-linear Realization of PSU(2,2|4) on the Light-Cone | 29 pages, published version, references added, typos correcte | Nucl.Phys. B722 (2005) 166-190 | 10.1016/j.nuclphysb.2005.06.012 | UFIFT-HEP-05-09 | hep-th | null | The symmetries of the N=4 SuperYang-Mills theory on the light-cone are
discussed, solely in terms of its physical degrees of freedom. We derive
explicit expressions for the generators of the PSU(2,2|4) superalgebra, both in
the free theory, and to all orders in the gauge coupling of the classical
theory. We use these symmetries to construct its Hamiltonian, and show that it
can be written as a quadratic form of a fermionic superfield.
| [
{
"created": "Wed, 25 May 2005 20:41:00 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2005 19:09:29 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Ananth",
"Sudarshan",
""
],
[
"Brink",
"Lars",
""
],
[
"Kim",
"Sung-Soo",
""
],
[
"Ramond",
"Pierre",
""
]
] | The symmetries of the N=4 SuperYang-Mills theory on the light-cone are discussed, solely in terms of its physical degrees of freedom. We derive explicit expressions for the generators of the PSU(2,2|4) superalgebra, both in the free theory, and to all orders in the gauge coupling of the classical theory. We use these symmetries to construct its Hamiltonian, and show that it can be written as a quadratic form of a fermionic superfield. |
hep-th/0207163 | Francesco Sannino | Raffaele Marotta and Francesco Sannino | N=1 Super Yang Mills renormalization schemes for Fractional Branes | 5 pages, revtex4, no figures. Corrected typos and added some
clarifications | Phys.Lett. B545 (2002) 162-168 | 10.1016/S0370-2693(02)02592-3 | DSF-13/2002 | hep-th hep-ph | null | We investigate N=1 super Yang-Mills theory using fractional branes. We first
define the beta-function with respect to a supergravity coordinate. To provide
the relation between the supergravity parameter and the renormalization group
scale we use the UV known gauge theory beta-function as a type of boundary
condition. We show that there are no privileged renormalization schemes
connected to a given supergravity solution while we investigate in some detail
two schemes. The Wilsonian one where just one loop is manifest and the one
containing multi-loops. A new functional relation between the gaugino
condensate and the supergravity coordinates is finally determined.
| [
{
"created": "Thu, 18 Jul 2002 15:26:36 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2002 09:17:35 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Marotta",
"Raffaele",
""
],
[
"Sannino",
"Francesco",
""
]
] | We investigate N=1 super Yang-Mills theory using fractional branes. We first define the beta-function with respect to a supergravity coordinate. To provide the relation between the supergravity parameter and the renormalization group scale we use the UV known gauge theory beta-function as a type of boundary condition. We show that there are no privileged renormalization schemes connected to a given supergravity solution while we investigate in some detail two schemes. The Wilsonian one where just one loop is manifest and the one containing multi-loops. A new functional relation between the gaugino condensate and the supergravity coordinates is finally determined. |
hep-th/0508224 | Rabin Banerjee | Rabin Banerjee | Deformed Schrodinger symmetry on noncommutative space | 9 pages, LaTeX, abstract modified, new section included | Eur.Phys.J.C47:541-545,2006 | 10.1140/epjc/s2006-02591-9 | null | hep-th | null | We construct the deformed generators of Schroedinger symmetry consistent with
noncommutative space. The examples of the free particle and the harmonic
oscillator, both of which admit Schroedinger symmetry, are discussed in detail.
We construct a generalised Galilean algebra where the second central extension
exists in all dimensions. This algebra also follows from the Inonu--Wigner
contraction of a generalised Poincare algebra in noncommuting space.
| [
{
"created": "Tue, 30 Aug 2005 11:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2005 09:40:01 GMT",
"version": "v2"
}
] | 2009-01-07 | [
[
"Banerjee",
"Rabin",
""
]
] | We construct the deformed generators of Schroedinger symmetry consistent with noncommutative space. The examples of the free particle and the harmonic oscillator, both of which admit Schroedinger symmetry, are discussed in detail. We construct a generalised Galilean algebra where the second central extension exists in all dimensions. This algebra also follows from the Inonu--Wigner contraction of a generalised Poincare algebra in noncommuting space. |
2204.05324 | Batoul Banihashemi | Batoul Banihashemi and Ted Jacobson | Thermodynamic ensembles with cosmological horizons | 57 pages, 13 figures; v2: minor edits to clarify presentation and
relation to previous studies; v3: further minor edits; v4: added comments and
reference on D = 3 case in section 5, matches published version | JHEP 07 (2022) 042 | 10.1007/JHEP07(2022)042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entropy of a de Sitter horizon was derived long ago by Gibbons and
Hawking via a gravitational partition function. Since there is no boundary at
which to define the temperature or energy of the ensemble, the statistical
foundation of their approach has remained obscure. To place the statistical
ensemble on a firm footing we introduce an artificial "York boundary", with
either canonical or microcanonical boundary conditions, as has been done
previously for black hole ensembles. The partition function and the density of
states are expressed as integrals over paths in the constrained, spherically
reduced phase space of pure 3+1 dimensional gravity with a positive
cosmological constant. Issues related to the domain and contour of integration
are analyzed, and the adopted choices for those are justified as far as
possible. The canonical ensemble includes a patch of spacetime without horizon,
as well as configurations containing a black hole or a cosmological horizon. We
study thermodynamic phases and (in)stability, and discuss an evolving reservoir
model that can stabilize the cosmological horizon in the canonical ensemble.
Finally, we explain how the Gibbons-Hawking partition function on the 4-sphere
can be derived as a limit of well-defined thermodynamic ensembles and, from
this viewpoint, why it computes the dimension of the Hilbert space of states
within a cosmological horizon.
| [
{
"created": "Mon, 11 Apr 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2022 14:30:42 GMT",
"version": "v2"
},
{
"created": "Mon, 23 May 2022 16:50:18 GMT",
"version": "v3"
},
{
"created": "Sun, 10 Jul 2022 15:27:27 GMT",
"version": "v4"
}
] | 2022-07-14 | [
[
"Banihashemi",
"Batoul",
""
],
[
"Jacobson",
"Ted",
""
]
] | The entropy of a de Sitter horizon was derived long ago by Gibbons and Hawking via a gravitational partition function. Since there is no boundary at which to define the temperature or energy of the ensemble, the statistical foundation of their approach has remained obscure. To place the statistical ensemble on a firm footing we introduce an artificial "York boundary", with either canonical or microcanonical boundary conditions, as has been done previously for black hole ensembles. The partition function and the density of states are expressed as integrals over paths in the constrained, spherically reduced phase space of pure 3+1 dimensional gravity with a positive cosmological constant. Issues related to the domain and contour of integration are analyzed, and the adopted choices for those are justified as far as possible. The canonical ensemble includes a patch of spacetime without horizon, as well as configurations containing a black hole or a cosmological horizon. We study thermodynamic phases and (in)stability, and discuss an evolving reservoir model that can stabilize the cosmological horizon in the canonical ensemble. Finally, we explain how the Gibbons-Hawking partition function on the 4-sphere can be derived as a limit of well-defined thermodynamic ensembles and, from this viewpoint, why it computes the dimension of the Hilbert space of states within a cosmological horizon. |
0804.1994 | Shesansu Pal | Shesansu Pal | Supersymmetric and nonsupersymmetric perturbations to KT | 21 pp, Refs added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We studied the supersymmetric and non-supersymmetric perturbations to
cascading gauge theory. In particular we use KT background and the back
reaction of the generic linearized perturbation make the dilaton to run and the
$T^{(1,1)}$ gets squashed which in turn make the supersymmetry to be broken.
But if we make a special linearized perturbation in such way that the
$T^{(1,1)}$ is not squashed then the corresponding perturbation preserve
supersymmetry.
| [
{
"created": "Sat, 12 Apr 2008 06:35:20 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2008 06:17:55 GMT",
"version": "v2"
}
] | 2008-05-07 | [
[
"Pal",
"Shesansu",
""
]
] | We studied the supersymmetric and non-supersymmetric perturbations to cascading gauge theory. In particular we use KT background and the back reaction of the generic linearized perturbation make the dilaton to run and the $T^{(1,1)}$ gets squashed which in turn make the supersymmetry to be broken. But if we make a special linearized perturbation in such way that the $T^{(1,1)}$ is not squashed then the corresponding perturbation preserve supersymmetry. |
2302.12203 | Matheus Fabri | Matheus Fabri and Gabriel Lefundes | Hexagons and the classical limit | 25 pages, 5 figures | null | null | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In planar maximally supersymmetric Yang-Mills, we can compute three-point
functions at weak coupling using the so-called hexagonalization formalism. The
main objects in this framework are called hexagons. We are interested in two
sectors of the theory, spanned by operators built entirely from scalar fields,
and by spinning operators, respectively. By reviewing the analytic properties
of these building blocks, we find new representations for them at weak coupling
where the two sectors are on equal footing. We compute the classical limit of
the hexagons and of correlation functions in both sectors for some choices of
polarizations and our results match previous predictions in the literature.
| [
{
"created": "Thu, 23 Feb 2023 17:56:47 GMT",
"version": "v1"
}
] | 2023-02-24 | [
[
"Fabri",
"Matheus",
""
],
[
"Lefundes",
"Gabriel",
""
]
] | In planar maximally supersymmetric Yang-Mills, we can compute three-point functions at weak coupling using the so-called hexagonalization formalism. The main objects in this framework are called hexagons. We are interested in two sectors of the theory, spanned by operators built entirely from scalar fields, and by spinning operators, respectively. By reviewing the analytic properties of these building blocks, we find new representations for them at weak coupling where the two sectors are on equal footing. We compute the classical limit of the hexagons and of correlation functions in both sectors for some choices of polarizations and our results match previous predictions in the literature. |
2201.12457 | C. Moctezuma Mata | James P. Edwards, C. Moctezuma Mata and Christian Schubert | One-loop Amplitudes in the Worldline Formalism | 12 pages, 4 figures, talk given by C. Moctezuma Mata at ICNFP 2021,
23. 8. - 7. 10. 2021, submitted to the conference proceedings | null | 10.1088/1402-4896/ac6a1e | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We summarize recent progress in applying the worldline formalism to the
analytic calculation of one-loop N-point amplitudes. This string-inspired
approach is well-adapted to avoiding some of the calculational inefficiencies
of the standard Feynman diagram approach, most notably by providing master
formulas that sum over diagrams differing only by the position of external legs
and/or internal propagators. We illustrate the mathematical challenge involved
with the low-energy limit of the N-photon amplitudes in scalar and spinor QED,
and then present an algorithm that, in principle, solves this problem for the
much more difficult case of the N-point amplitudes at full momentum in phi^3
theory. The method is based on the algebra of inverse derivatives in the
Hilbert space of periodic functions orthogonal to the constant ones, in which
the Bernoulli numbers and polynomials play a central role.
| [
{
"created": "Fri, 28 Jan 2022 23:46:49 GMT",
"version": "v1"
}
] | 2022-05-18 | [
[
"Edwards",
"James P.",
""
],
[
"Mata",
"C. Moctezuma",
""
],
[
"Schubert",
"Christian",
""
]
] | We summarize recent progress in applying the worldline formalism to the analytic calculation of one-loop N-point amplitudes. This string-inspired approach is well-adapted to avoiding some of the calculational inefficiencies of the standard Feynman diagram approach, most notably by providing master formulas that sum over diagrams differing only by the position of external legs and/or internal propagators. We illustrate the mathematical challenge involved with the low-energy limit of the N-photon amplitudes in scalar and spinor QED, and then present an algorithm that, in principle, solves this problem for the much more difficult case of the N-point amplitudes at full momentum in phi^3 theory. The method is based on the algebra of inverse derivatives in the Hilbert space of periodic functions orthogonal to the constant ones, in which the Bernoulli numbers and polynomials play a central role. |
2206.10232 | Nicolas Wink | Jens Braun, Yong-rui Chen, Wei-jie Fu, Andreas Gei{\ss}el, Jan Horak,
Chuang Huang, Friederike Ihssen, Jan M. Pawlowski, Manuel Reichert, Fabian
Rennecke, Yang-yang Tan, Sebastian T\"opfel, Jonas Wessely, Nicolas Wink | Renormalised spectral flows | 31 pages, 1 figure | null | null | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive renormalised finite functional flow equations for quantum field
theories in real and imaginary time that incorporate scale transformations of
the renormalisation conditions, hence implementing a flowing renormalisation.
The flows are manifestly finite in general non-perturbative truncation schemes
also for regularisation schemes that do not implement an infrared suppression
of the loops in the flow. Specifically, this formulation includes finite
functional flows for the effective action with a spectral Callan-Symanzik
cutoff, and therefore gives access to Lorentz invariant spectral flows. The
functional setup is fully non-perturbative and allows for the spectral
treatment of general theories. In particular, this includes theories that do
not admit a perturbative renormalisation such as asymptotically safe theories.
Finally, the application of the Lorentz invariant spectral functional
renormalisation group is briefly discussed for theories ranging from real
scalar and Yukawa theories to gauge theories and quantum gravity.
| [
{
"created": "Tue, 21 Jun 2022 10:00:17 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2022 10:38:05 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Apr 2023 09:21:46 GMT",
"version": "v3"
}
] | 2023-04-18 | [
[
"Braun",
"Jens",
""
],
[
"Chen",
"Yong-rui",
""
],
[
"Fu",
"Wei-jie",
""
],
[
"Geißel",
"Andreas",
""
],
[
"Horak",
"Jan",
""
],
[
"Huang",
"Chuang",
""
],
[
"Ihssen",
"Friederike",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Reichert",
"Manuel",
""
],
[
"Rennecke",
"Fabian",
""
],
[
"Tan",
"Yang-yang",
""
],
[
"Töpfel",
"Sebastian",
""
],
[
"Wessely",
"Jonas",
""
],
[
"Wink",
"Nicolas",
""
]
] | We derive renormalised finite functional flow equations for quantum field theories in real and imaginary time that incorporate scale transformations of the renormalisation conditions, hence implementing a flowing renormalisation. The flows are manifestly finite in general non-perturbative truncation schemes also for regularisation schemes that do not implement an infrared suppression of the loops in the flow. Specifically, this formulation includes finite functional flows for the effective action with a spectral Callan-Symanzik cutoff, and therefore gives access to Lorentz invariant spectral flows. The functional setup is fully non-perturbative and allows for the spectral treatment of general theories. In particular, this includes theories that do not admit a perturbative renormalisation such as asymptotically safe theories. Finally, the application of the Lorentz invariant spectral functional renormalisation group is briefly discussed for theories ranging from real scalar and Yukawa theories to gauge theories and quantum gravity. |
2305.08683 | I. T. Drummond | I. T. Drummond | Supersymmetry with Lorentz Symmetry Violation | 30 pages, further references | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We study two (massless free field) models, a photon/photino model with a
vector gauge field and a Majorana spinor field, and a Wess-Zumino model. They
each exhibit Lorentz symmetry violation but retain, in an appropriate way, the
supersymmetry correspondance between the particles of the two fields. In
relation to the photon field the Lorentz symmetry violation is of a simple but
non-trivial kind that implies birefringence. In relation to the spinor field
the Lorentz violation is produced by a modification of the Majorana equation
that is a simplified version of more general investigations of Lorentz symmetry
violation of the Dirac equation. In the case of the Wess-Zumino model we retain
the same violation of Lorentz symmetry for the Majorana field and adjust the
propagation of the scalar particles so that they exhibit a corresponding
birefringence. The advantages of the models are that they are straightforward
to investigate completely and both retain the basic aspect of supersymmetry
namely the one-to-one correspondance between bosons and fermions. As a result
of this bottom-up approach it is then possible to construct conserved
supersymmetry charges and investigate their algebraic properties. To some
extent these are similar to those encountered in the case of Lorentz
invariance. However there are differences and in particular non-local terms
appear in the commutation relations of the supersymmetry charges and fields of
the models. We examine carefully the rather intricate nature of the limit back
to Lorentz invariance.
| [
{
"created": "Mon, 15 May 2023 14:40:55 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2023 15:16:37 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Jun 2023 12:46:58 GMT",
"version": "v3"
},
{
"created": "Wed, 21 Jun 2023 14:24:50 GMT",
"version": "v4"
}
] | 2023-06-22 | [
[
"Drummond",
"I. T.",
""
]
] | We study two (massless free field) models, a photon/photino model with a vector gauge field and a Majorana spinor field, and a Wess-Zumino model. They each exhibit Lorentz symmetry violation but retain, in an appropriate way, the supersymmetry correspondance between the particles of the two fields. In relation to the photon field the Lorentz symmetry violation is of a simple but non-trivial kind that implies birefringence. In relation to the spinor field the Lorentz violation is produced by a modification of the Majorana equation that is a simplified version of more general investigations of Lorentz symmetry violation of the Dirac equation. In the case of the Wess-Zumino model we retain the same violation of Lorentz symmetry for the Majorana field and adjust the propagation of the scalar particles so that they exhibit a corresponding birefringence. The advantages of the models are that they are straightforward to investigate completely and both retain the basic aspect of supersymmetry namely the one-to-one correspondance between bosons and fermions. As a result of this bottom-up approach it is then possible to construct conserved supersymmetry charges and investigate their algebraic properties. To some extent these are similar to those encountered in the case of Lorentz invariance. However there are differences and in particular non-local terms appear in the commutation relations of the supersymmetry charges and fields of the models. We examine carefully the rather intricate nature of the limit back to Lorentz invariance. |
hep-th/0103172 | Dzhunushaliev Vladimir | V. Dzhunushaliev | Nonperturbative Operator Quantization of Strongly Nonlinear Fields | minor corrections | Found.Phys.Lett. 16 (2003) 57-70 | null | null | hep-th cond-mat.supr-con hep-ph | null | At present an algebra of strongly interacting fields is unknown. In this
paper it is assumed that the operators of strongly nonlinear field can form a
non-associative algebra. It is shown that such algebra can be described as an
algebra of some pairs. The comparison of presented techniques with the Green's
functions method in the superconductivity theory is made. A possible
application to the QCD and High-T$_c$ superconductivity theory is discussed.
| [
{
"created": "Wed, 21 Mar 2001 03:28:57 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2001 04:52:28 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Aug 2001 15:49:21 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Sep 2002 04:53:05 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Dzhunushaliev",
"V.",
""
]
] | At present an algebra of strongly interacting fields is unknown. In this paper it is assumed that the operators of strongly nonlinear field can form a non-associative algebra. It is shown that such algebra can be described as an algebra of some pairs. The comparison of presented techniques with the Green's functions method in the superconductivity theory is made. A possible application to the QCD and High-T$_c$ superconductivity theory is discussed. |
1003.0084 | Michael Ratz | Felix Brummer, Rolf Kappl, Michael Ratz, Kai Schmidt-Hoberg | Approximate R-symmetries and the mu term | 26 pages | JHEP 1004:006,2010 | 10.1007/JHEP04(2010)006 | DCPT/10/36; IPPP/10/18; TUM-HEP 752/10; MPP-2010-25 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the role of approximate U(1)_R symmetries for the understanding of
hierarchies in Nature. Such symmetries may explain a suppressed expectation
value of the superpotential and provide us with a solution to the MSSM mu
problem. We present various examples in field theory and string-derived models.
| [
{
"created": "Sat, 27 Feb 2010 09:32:54 GMT",
"version": "v1"
}
] | 2010-04-30 | [
[
"Brummer",
"Felix",
""
],
[
"Kappl",
"Rolf",
""
],
[
"Ratz",
"Michael",
""
],
[
"Schmidt-Hoberg",
"Kai",
""
]
] | We discuss the role of approximate U(1)_R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM mu problem. We present various examples in field theory and string-derived models. |
0903.0390 | Ian Ellwood | Ian Ellwood | Singular gauge transformations in string field theory | 33 pages, 2 figures. v2: Additional citations added | JHEP 0905:037,2009 | 10.1088/1126-6708/2009/05/037 | UK/08-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the existence of a tachyon vacuum puts tight restrictions on the
form of solutions to the equations of motion of string field theory. In
particular, we demonstrate that every solution can be written as a - formal -
gauge transformation of the tachyon vacuum. In order for a solution to be
non-trivial, this gauge transformation must be singular and we argue that this
will happen when the gauge transformation annihilates a projector of the
star-algebra. We comment on possible applications of the formalism to finding
new solutions.
| [
{
"created": "Mon, 2 Mar 2009 22:09:18 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2009 23:00:02 GMT",
"version": "v2"
}
] | 2010-01-15 | [
[
"Ellwood",
"Ian",
""
]
] | We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a - formal - gauge transformation of the tachyon vacuum. In order for a solution to be non-trivial, this gauge transformation must be singular and we argue that this will happen when the gauge transformation annihilates a projector of the star-algebra. We comment on possible applications of the formalism to finding new solutions. |
1206.3033 | Matthew Buican | Matthew Buican | Non-Perturbative Constraints on Light Sparticles from Properties of the
RG Flow | Published JHEP version. Introduction slightly streamlined; one
additional comment; equations and results unchanged | null | null | CERN-PH-TH/2012-156 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study certain small supersymmetry-breaking perturbations of a large class
of strongly coupled four-dimensional R-symmetric renormalization group (RG)
flows between superconformal field theories in the ultraviolet (UV) and the
infrared (IR). We analyze the conditions under which these perturbations scale
to zero at leading order in the deep IR, resulting in accidental supersymmetry.
Furthermore, we connect the emergence of IR supersymmetry in this context with
a quantity that was recently conjectured to be larger at the UV starting points
of the underlying supersymmetric flows than at the corresponding IR endpoints,
and we propose a bound on emergent supersymmetry. Along the way, we prove a
simple and useful non-perturbative theorem regarding the IR behavior of global
flavor currents. Our results suggest general ways in which light stop particles
can emerge and potentially influence physics at the Large Hadron Collider.
| [
{
"created": "Thu, 14 Jun 2012 08:18:15 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2013 00:09:27 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Oct 2014 22:17:38 GMT",
"version": "v3"
}
] | 2014-10-17 | [
[
"Buican",
"Matthew",
""
]
] | We study certain small supersymmetry-breaking perturbations of a large class of strongly coupled four-dimensional R-symmetric renormalization group (RG) flows between superconformal field theories in the ultraviolet (UV) and the infrared (IR). We analyze the conditions under which these perturbations scale to zero at leading order in the deep IR, resulting in accidental supersymmetry. Furthermore, we connect the emergence of IR supersymmetry in this context with a quantity that was recently conjectured to be larger at the UV starting points of the underlying supersymmetric flows than at the corresponding IR endpoints, and we propose a bound on emergent supersymmetry. Along the way, we prove a simple and useful non-perturbative theorem regarding the IR behavior of global flavor currents. Our results suggest general ways in which light stop particles can emerge and potentially influence physics at the Large Hadron Collider. |
1405.0550 | Jorgen Rasmussen | Paul A. Pearce, Jorgen Rasmussen, Ilya Yu. Tipunin | Critical dense polymers with Robin boundary conditions, half-integer Kac
labels and $\mathbb{Z}_4$ fermions | 53 pages, v2: comments and references added | null | 10.1016/j.nuclphysb.2014.10.022 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For general Temperley-Lieb loop models, including the logarithmic minimal
models ${\cal LM}(p,p')$ with $p,p'$ coprime integers, we construct an infinite
family of Robin boundary conditions on the strip as linear combinations of
Neumann and Dirichlet boundary conditions. These boundary conditions are
Yang-Baxter integrable and allow loop segments to terminate on the boundary.
Algebraically, the Robin boundary conditions are described by the one-boundary
Temperley-Lieb algebra. Solvable critical dense polymers is the first member
${\cal LM}(1,2)$ of the family of logarithmic minimal models and has loop
fugacity $\beta=0$ and central charge $c=-2$. Specializing to ${\cal LM}(1,2)$
with our Robin boundary conditions, we solve the model exactly on strips of
arbitrary finite size $N$ and extract the finite-size conformal corrections
using an Euler-Maclaurin formula. The key to the solution is an inversion
identity satisfied by the commuting double row transfer matrices. This
inversion identity is established directly in the Temperley-Lieb algebra. We
classify the eigenvalues of the double row transfer matrices using the physical
combinatorics of the patterns of zeros in the complex spectral parameter plane
and obtain finitized characters related to spaces of coinvariants of
$\mathbb{Z}_4$ fermions. In the continuum scaling limit, the Robin boundary
conditions are associated with irreducible Virasoro Verma modules with
conformal weights $\Delta_{r,s-\frac{1}{2}}=\frac{1}{32}(L^2-4)$ where
$L=2s-1-4r$, $r\in\mathbb{Z}$, $s\in\mathbb{N}$. These conformal weights
populate a Kac table with half-integer Kac labels. Fusion of the corresponding
modules with the generators of the Kac fusion algebra is examined and general
fusion rules are proposed.
| [
{
"created": "Sat, 3 May 2014 02:38:13 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2014 07:34:14 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Pearce",
"Paul A.",
""
],
[
"Rasmussen",
"Jorgen",
""
],
[
"Tipunin",
"Ilya Yu.",
""
]
] | For general Temperley-Lieb loop models, including the logarithmic minimal models ${\cal LM}(p,p')$ with $p,p'$ coprime integers, we construct an infinite family of Robin boundary conditions on the strip as linear combinations of Neumann and Dirichlet boundary conditions. These boundary conditions are Yang-Baxter integrable and allow loop segments to terminate on the boundary. Algebraically, the Robin boundary conditions are described by the one-boundary Temperley-Lieb algebra. Solvable critical dense polymers is the first member ${\cal LM}(1,2)$ of the family of logarithmic minimal models and has loop fugacity $\beta=0$ and central charge $c=-2$. Specializing to ${\cal LM}(1,2)$ with our Robin boundary conditions, we solve the model exactly on strips of arbitrary finite size $N$ and extract the finite-size conformal corrections using an Euler-Maclaurin formula. The key to the solution is an inversion identity satisfied by the commuting double row transfer matrices. This inversion identity is established directly in the Temperley-Lieb algebra. We classify the eigenvalues of the double row transfer matrices using the physical combinatorics of the patterns of zeros in the complex spectral parameter plane and obtain finitized characters related to spaces of coinvariants of $\mathbb{Z}_4$ fermions. In the continuum scaling limit, the Robin boundary conditions are associated with irreducible Virasoro Verma modules with conformal weights $\Delta_{r,s-\frac{1}{2}}=\frac{1}{32}(L^2-4)$ where $L=2s-1-4r$, $r\in\mathbb{Z}$, $s\in\mathbb{N}$. These conformal weights populate a Kac table with half-integer Kac labels. Fusion of the corresponding modules with the generators of the Kac fusion algebra is examined and general fusion rules are proposed. |
1404.5172 | Dorota Strozik-Kotlorz | D. Kotlorz and S. V. Mikhailov | Cut moments and a generalization of DGLAP equations | 11 pages | JHEP 06 (2014) 065 | 10.1007/JHEP06(2014)065 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate a cut (truncated) Mellin moments (CMM) approach that is
constructed to study deep inelastic scattering in lepton-hadron collisions at
the natural kinematic constraints. We show that generalized CMM obtained by
multiple integrations of the original parton distribution $f(x,\mu^2)$ as well
as ones obtained by multiple differentiations of this $f(x,\mu^2)$ also satisfy
the DGLAP equations with the correspondingly transformed evolution kernel
$P(z)$. Appropriate classes of CMM for the available experimental kinematic
range are suggested and analyzed. Similar relations can be obtained for the
structure functions $F(x)$, being the Mellin convolution $F= C \ast f$, where
$C$ is the coefficient function of the process.
| [
{
"created": "Mon, 21 Apr 2014 11:21:41 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Kotlorz",
"D.",
""
],
[
"Mikhailov",
"S. V.",
""
]
] | We elaborate a cut (truncated) Mellin moments (CMM) approach that is constructed to study deep inelastic scattering in lepton-hadron collisions at the natural kinematic constraints. We show that generalized CMM obtained by multiple integrations of the original parton distribution $f(x,\mu^2)$ as well as ones obtained by multiple differentiations of this $f(x,\mu^2)$ also satisfy the DGLAP equations with the correspondingly transformed evolution kernel $P(z)$. Appropriate classes of CMM for the available experimental kinematic range are suggested and analyzed. Similar relations can be obtained for the structure functions $F(x)$, being the Mellin convolution $F= C \ast f$, where $C$ is the coefficient function of the process. |
hep-th/9503171 | Per Elmfors | Per Elmfors | Derivatives as an IR Regulator for Massless Fields | Latex | Phys.Lett. B352 (1995) 337-345 | 10.1016/0370-2693(95)00540-2 | CERN-TH/95-66 | hep-th | null | The free propagator for the scalar $\lambda \phi^4$--theory is calculated
exactly up to the second derivative of a background field. Using this
propagator I compute the one--loop effective action, which then contains all
powers of the field but with at most two derivatives acting on each field. The
standard derivative expansion, which only has a finite number of derivatives in
each term, breaks down for small fields when the mass is zero, while the
expression obtained here has a well--defined expansion in $\phi$. In this way
the resummation of derivatives cures the naive IR divergence. The extension to
finite temperature is also discussed.
| [
{
"created": "Fri, 24 Mar 1995 14:17:36 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Elmfors",
"Per",
""
]
] | The free propagator for the scalar $\lambda \phi^4$--theory is calculated exactly up to the second derivative of a background field. Using this propagator I compute the one--loop effective action, which then contains all powers of the field but with at most two derivatives acting on each field. The standard derivative expansion, which only has a finite number of derivatives in each term, breaks down for small fields when the mass is zero, while the expression obtained here has a well--defined expansion in $\phi$. In this way the resummation of derivatives cures the naive IR divergence. The extension to finite temperature is also discussed. |
2008.01027 | Siddharth Dwivedi | Mohammad Akhond, Federico Carta, Siddharth Dwivedi, Hirotaka Hayashi,
Sung-Soo Kim, Futoshi Yagi | Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic
quivers | 67 pages, 57 figures, 24 tables, 4 appendices, minor corrections,
matches with the published version | JHEP12(2020)164 | 10.1007/JHEP12(2020)164 | CTP-SCU/2020026, DESY 20-128 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Higgs branch of 5d superconformal theories engineered from brane
webs with orientifold five-planes. We propose a generalization of the rules to
derive magnetic quivers from brane webs pioneered in arXiv:2004.04082, by
analyzing theories that can be described with a brane web with and without O5
planes. Our proposed magnetic quivers include novel features, such as
hypermultiplets transforming in the fundamental-fundamental representation of
two gauge nodes, antisymmetric matter, and $\mathbb{Z}_2$ gauge nodes. We test
our results by computing the Coulomb and Higgs branch Hilbert series of the
magnetic quivers obtained from the two distinct constructions and find
agreement in all cases.
| [
{
"created": "Mon, 3 Aug 2020 17:06:43 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2020 13:24:38 GMT",
"version": "v2"
}
] | 2020-12-29 | [
[
"Akhond",
"Mohammad",
""
],
[
"Carta",
"Federico",
""
],
[
"Dwivedi",
"Siddharth",
""
],
[
"Hayashi",
"Hirotaka",
""
],
[
"Kim",
"Sung-Soo",
""
],
[
"Yagi",
"Futoshi",
""
]
] | We study the Higgs branch of 5d superconformal theories engineered from brane webs with orientifold five-planes. We propose a generalization of the rules to derive magnetic quivers from brane webs pioneered in arXiv:2004.04082, by analyzing theories that can be described with a brane web with and without O5 planes. Our proposed magnetic quivers include novel features, such as hypermultiplets transforming in the fundamental-fundamental representation of two gauge nodes, antisymmetric matter, and $\mathbb{Z}_2$ gauge nodes. We test our results by computing the Coulomb and Higgs branch Hilbert series of the magnetic quivers obtained from the two distinct constructions and find agreement in all cases. |
1405.5089 | Michael Kroyter | Francis Bursa, Michael Kroyter | Lattice String Field Theory: The linear dilaton in one dimension | V1: 74 pages, 35 figures. V2: 75 pages, 35 figures, refs added, typos
corrected, some clarifications | JHEP10(2014)074 | 10.1007/JHEP10(2014)074 | TAUP-2795-13 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose the use of lattice field theory for the study of string field
theory at the non-perturbative quantum level. We identify many potential
obstacles and examine possible resolutions thereof. We then experiment with our
approach in the particularly simple case of a one-dimensional linear dilaton
and analyse the results.
| [
{
"created": "Tue, 20 May 2014 14:07:47 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 2014 18:45:00 GMT",
"version": "v2"
}
] | 2014-10-22 | [
[
"Bursa",
"Francis",
""
],
[
"Kroyter",
"Michael",
""
]
] | We propose the use of lattice field theory for the study of string field theory at the non-perturbative quantum level. We identify many potential obstacles and examine possible resolutions thereof. We then experiment with our approach in the particularly simple case of a one-dimensional linear dilaton and analyse the results. |
1612.03627 | Wen-Jian Pan | Wen-Jian Pan and Yong-Chang Huang | Holographic complexity and action growth in massive gravities | 13pages, no figures, v2: references added and typos corrected, v3:
15pages, accepted for publication in PRD | Phys. Rev. D 95, 126013 (2017) | 10.1103/PhysRevD.95.126013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the growth rates of action for the anti-de
Sitter black holes in massive-Einstein gravity models and obtain the universal
behaviors of the growth rates of action (the rates of holographic complexity)
within the "Wheeler-DeWitt"(WDW) patch at the late limit. Furthermore, we find
that, for the static neutral cases, when the same mass of black holes is given,
the computational speed of the neutral massive black hole is the same as its
Einstein gravity counterpart, which is independent with the effect of the
graviton mass terms, nevertheless, for the static charged cases, when the same
mass and charge parameters of black holes are given, the growth rates of action
for the massive charged black holes are always superior to the growth rates of
action without graviton mass terms, which directly shows that the massive
charged black holes as computers on the computational speeds are faster than
their Einstein gravity counterparts.
| [
{
"created": "Mon, 12 Dec 2016 11:38:04 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Dec 2016 12:26:49 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jul 2017 13:11:10 GMT",
"version": "v3"
}
] | 2017-07-11 | [
[
"Pan",
"Wen-Jian",
""
],
[
"Huang",
"Yong-Chang",
""
]
] | In this paper, we investigate the growth rates of action for the anti-de Sitter black holes in massive-Einstein gravity models and obtain the universal behaviors of the growth rates of action (the rates of holographic complexity) within the "Wheeler-DeWitt"(WDW) patch at the late limit. Furthermore, we find that, for the static neutral cases, when the same mass of black holes is given, the computational speed of the neutral massive black hole is the same as its Einstein gravity counterpart, which is independent with the effect of the graviton mass terms, nevertheless, for the static charged cases, when the same mass and charge parameters of black holes are given, the growth rates of action for the massive charged black holes are always superior to the growth rates of action without graviton mass terms, which directly shows that the massive charged black holes as computers on the computational speeds are faster than their Einstein gravity counterparts. |
2310.09907 | Muhammad Shahzad | Aqsa Mehmood and M. Umair Shahzad | Thermodynamic Topological Classifications of Well-Known Black Holes | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate the thermodynamic properties of black holes
(BHs) that have non-trivial topological features in their phase diagrams. We
consider three different models of BHs: (1) a class of BHs in dRGT massive
gravity, which adds a mass term to general relativity; (2) a class of BHs in 5D
Yang-Mills massive gravity, which combines dRGT massive gravity with a
non-Abelian gauge field; and (3) a D-dimensional RN-AdS BH surrounded by
Quintessence and a cloud of strings, which are strange forms of matter that
change the thermodynamics of the BH. Our goal is to find the critical points of
these BHs, which provide the location of first-order phase transitions and
figure out their corresponding topological charges. Topological charges are
numbers that show how complicated the BH topology is. Then, we look at these
BHs as topological defects in the thermodynamic domain, which is the space of
thermodynamic variables like pressure and temperature. We calculate winding
numbers to analyze topology on a global and local scale at these defects, which
are integers that indicate how many times a curve encircling the defect wraps
around the origin. Our analysis reveals that the total topological charge is
either equal to 0 or 1 for all models, meaning that the BHs have either a
trivial or simple topology. In some cases, we see that the BH's topology
belongs to a different thermodynamic topological class. This means that the BHs
can go through topological phase transitions.
| [
{
"created": "Sun, 15 Oct 2023 18:22:51 GMT",
"version": "v1"
}
] | 2023-10-17 | [
[
"Mehmood",
"Aqsa",
""
],
[
"Shahzad",
"M. Umair",
""
]
] | In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which adds a mass term to general relativity; (2) a class of BHs in 5D Yang-Mills massive gravity, which combines dRGT massive gravity with a non-Abelian gauge field; and (3) a D-dimensional RN-AdS BH surrounded by Quintessence and a cloud of strings, which are strange forms of matter that change the thermodynamics of the BH. Our goal is to find the critical points of these BHs, which provide the location of first-order phase transitions and figure out their corresponding topological charges. Topological charges are numbers that show how complicated the BH topology is. Then, we look at these BHs as topological defects in the thermodynamic domain, which is the space of thermodynamic variables like pressure and temperature. We calculate winding numbers to analyze topology on a global and local scale at these defects, which are integers that indicate how many times a curve encircling the defect wraps around the origin. Our analysis reveals that the total topological charge is either equal to 0 or 1 for all models, meaning that the BHs have either a trivial or simple topology. In some cases, we see that the BH's topology belongs to a different thermodynamic topological class. This means that the BHs can go through topological phase transitions. |
2306.16257 | Johannes Broedel | Konstantin Baune and Johannes Broedel | A KLT-like construction for multi-Regge amplitudes | 39 pages, 11 figures, 3 appendices | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by the calculational steps originally performed by Kawai, Lewellen
and Tye, we decompose scattering amplitudes with single-valued coefficients
obtained in the multi-Regge-limit of N=4 super-Yang-Mills theory into products
of scattering amplitudes with multi-valued coefficients. We consider the
simplest non-trivial situation: the six-point remainder function complementing
the Bern-Dixon-Smirnov ansatz for multi-loop amplitudes. Utilizing inverse
Mellin transformations, all single-valued amplitude components can indeed be
decomposed into multi-valued amplitude components. Although the final
expression is very similar in structure to the Kawai-Lewellen-Tye construction,
moving away from the highly symmetric string scenario comes with several
imponderabilities, some of which become more pronounced when considering more
than six external legs in the remainder function.
| [
{
"created": "Wed, 28 Jun 2023 14:30:20 GMT",
"version": "v1"
}
] | 2023-06-29 | [
[
"Baune",
"Konstantin",
""
],
[
"Broedel",
"Johannes",
""
]
] | Inspired by the calculational steps originally performed by Kawai, Lewellen and Tye, we decompose scattering amplitudes with single-valued coefficients obtained in the multi-Regge-limit of N=4 super-Yang-Mills theory into products of scattering amplitudes with multi-valued coefficients. We consider the simplest non-trivial situation: the six-point remainder function complementing the Bern-Dixon-Smirnov ansatz for multi-loop amplitudes. Utilizing inverse Mellin transformations, all single-valued amplitude components can indeed be decomposed into multi-valued amplitude components. Although the final expression is very similar in structure to the Kawai-Lewellen-Tye construction, moving away from the highly symmetric string scenario comes with several imponderabilities, some of which become more pronounced when considering more than six external legs in the remainder function. |
2407.11164 | Baptiste Filoche | Baptiste Filoche, Stefan Hohenegger and Taro Kimura | Seiberg-Witten curves of $\widehat{D}$-type Little Strings | 30 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Little Strings are a type of non-gravitational quantum theories that contain
extended degrees of freedom, but behave like ordinary Quantum Field Theories at
low energies. A particular class of such theories in six dimensions is
engineered as the world-volume theory of an M5-brane on a circle that probes a
transverse orbifold geometry. Its low energy limit is a supersymmetric gauge
theory that is described by a quiver in the shape of the Dynkin diagram of the
affine extension of an ADE-group. While the so-called $\widehat{A}$-type Little
String Theories (LSTs) are very well studied, much less is known about the
$\widehat{D}$-type, where for example the Seiberg-Witten curve (SWC) is only
known in the case of the $\widehat{D}_4$ theory. In this work, we provide a
general construction of this curve for arbitrary $\widehat{D}_{M}$ that
respects all symmetries and dualities of the LST and is compatible with
lower-dimensional results in the literature. For $M=4$ our construction
reproduces the same curve as previously obtained by other methods. The form in
which we cast the SWC for generic $\widehat{D}_M$ allows to study the behaviour
of the LST under modular transformations and provides insights into a dual
formulation as a circular quiver gauge theory with nodes of $Sp(M-4)$ and
$SO(2M)$.
| [
{
"created": "Mon, 15 Jul 2024 18:37:37 GMT",
"version": "v1"
}
] | 2024-07-17 | [
[
"Filoche",
"Baptiste",
""
],
[
"Hohenegger",
"Stefan",
""
],
[
"Kimura",
"Taro",
""
]
] | Little Strings are a type of non-gravitational quantum theories that contain extended degrees of freedom, but behave like ordinary Quantum Field Theories at low energies. A particular class of such theories in six dimensions is engineered as the world-volume theory of an M5-brane on a circle that probes a transverse orbifold geometry. Its low energy limit is a supersymmetric gauge theory that is described by a quiver in the shape of the Dynkin diagram of the affine extension of an ADE-group. While the so-called $\widehat{A}$-type Little String Theories (LSTs) are very well studied, much less is known about the $\widehat{D}$-type, where for example the Seiberg-Witten curve (SWC) is only known in the case of the $\widehat{D}_4$ theory. In this work, we provide a general construction of this curve for arbitrary $\widehat{D}_{M}$ that respects all symmetries and dualities of the LST and is compatible with lower-dimensional results in the literature. For $M=4$ our construction reproduces the same curve as previously obtained by other methods. The form in which we cast the SWC for generic $\widehat{D}_M$ allows to study the behaviour of the LST under modular transformations and provides insights into a dual formulation as a circular quiver gauge theory with nodes of $Sp(M-4)$ and $SO(2M)$. |
1410.5335 | Ivan Masterov | Ivan Masterov | Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry | 14 pages, published version with minor changes | J.Math.Phys. 56 (2015) 2, 022902 | 10.1063/1.4909528 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The analysis previously developed in [J. Math. Phys. 55 (2014) 102901] is
used to construct systems which hold invariant under N=2 l-conformal Galilei
superalgebra. The models describe two different supersymmetric extensions of a
free higher-derivative particle. Their Newton-Hooke counterparts are derived by
applying appropriate coordinate transformations.
| [
{
"created": "Mon, 20 Oct 2014 16:07:00 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2014 17:00:55 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Mar 2015 21:48:57 GMT",
"version": "v3"
}
] | 2015-03-11 | [
[
"Masterov",
"Ivan",
""
]
] | The analysis previously developed in [J. Math. Phys. 55 (2014) 102901] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations. |
hep-th/0207093 | Kayoko Fujimura | Kayoko Fujimura | Partition Function on Not-flat Brane | 10 pages, Latex, no figures; to appear in Phys. Lett. B | Phys.Lett. B541 (2002) 171-176 | 10.1016/S0370-2693(02)02183-4 | null | hep-th | null | We show that a partition function on the not-flat D1-brane can be written in
the same form as that on the flat one in $\alpha^\prime$-order. In this case
the information of the curvature of the brane configuration is included in
tachyon beta function.
| [
{
"created": "Wed, 10 Jul 2002 16:44:32 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Fujimura",
"Kayoko",
""
]
] | We show that a partition function on the not-flat D1-brane can be written in the same form as that on the flat one in $\alpha^\prime$-order. In this case the information of the curvature of the brane configuration is included in tachyon beta function. |
1202.4308 | Andrzej Herdegen | Andrzej Herdegen | Infrared limit in external field scattering | 12 pages; published version; minor corrections; comments added | null | 10.1063/1.4720422 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scattering of electrons/positrons by external classical electromagnetic wave
packet is considered in infrared limit. In this limit the scattering operator
exists and produces physical effects, although the scattering cross-section is
trivial.
| [
{
"created": "Mon, 20 Feb 2012 12:54:08 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2012 16:34:47 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Herdegen",
"Andrzej",
""
]
] | Scattering of electrons/positrons by external classical electromagnetic wave packet is considered in infrared limit. In this limit the scattering operator exists and produces physical effects, although the scattering cross-section is trivial. |
1201.5922 | Yu-Xiao Liu | Feng-Wei Chen, Yu-Xiao Liu, Yuan Zhong, Yong-Qiang Wang, Shao-Feng Wu | Brane worlds in critical gravity | 8 pages, no figures, investigation of Gibbons-Hawking surface term
and junction condition added, revised version to be published in Phys. Rev. D | Phys. Rev. D 88, 104033 (2013) | 10.1103/PhysRevD.88.104033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Lu and Pope proposed critical gravities in [Phys. Rev. Lett. 106,
181302 (2011)]. In this paper we construct analytic brane solutions in critical
gravity with matter. The Gibbons-Hawking surface term and junction condition
are investigated, and the thin and thick brane solutions are obtained. All
these branes are embedded in five-dimensional anti-de Sitter spacetimes. Our
solutions are stable against scalar perturbations, and the zero modes of scalar
perturbations cannot be localized on the branes.
| [
{
"created": "Sat, 28 Jan 2012 04:10:14 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Nov 2013 14:48:27 GMT",
"version": "v2"
}
] | 2013-12-04 | [
[
"Chen",
"Feng-Wei",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhong",
"Yuan",
""
],
[
"Wang",
"Yong-Qiang",
""
],
[
"Wu",
"Shao-Feng",
""
]
] | Recently, Lu and Pope proposed critical gravities in [Phys. Rev. Lett. 106, 181302 (2011)]. In this paper we construct analytic brane solutions in critical gravity with matter. The Gibbons-Hawking surface term and junction condition are investigated, and the thin and thick brane solutions are obtained. All these branes are embedded in five-dimensional anti-de Sitter spacetimes. Our solutions are stable against scalar perturbations, and the zero modes of scalar perturbations cannot be localized on the branes. |
2203.11292 | Enrique Alvarez | Enrique Alvarez and Jesus Anero | Covariant techniques in Quantum Field Theory | 96 pages, LaTeX, lecture notes given by Enrique \'Alvarez at the
IFT-UAM-CSIC in Madrid. New section added. References added. Typos corrected | null | null | IFT-UAM/CSIC-22-30 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper some techniques useful to perform quantum field theory
computations in a covariant manner are reviewed. In particular the background
field gauge, the zeta function regularization and the heat kernel approach are
highlighted. Some detailed calculations of the Schwinger-de Witt coefficients
of the small proper time expansion of the heat kernel are also repeated in
detail. This work reports lectures given by Enrique \'Alvarez at the
IFT-UAM-CSIC in Madrid.
| [
{
"created": "Mon, 21 Mar 2022 19:05:05 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Apr 2022 11:01:51 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Apr 2022 15:01:01 GMT",
"version": "v3"
}
] | 2022-04-21 | [
[
"Alvarez",
"Enrique",
""
],
[
"Anero",
"Jesus",
""
]
] | In this paper some techniques useful to perform quantum field theory computations in a covariant manner are reviewed. In particular the background field gauge, the zeta function regularization and the heat kernel approach are highlighted. Some detailed calculations of the Schwinger-de Witt coefficients of the small proper time expansion of the heat kernel are also repeated in detail. This work reports lectures given by Enrique \'Alvarez at the IFT-UAM-CSIC in Madrid. |
hep-th/0104259 | Yang-Hui Evariste He | Bo Feng, Amihay Hanany, and Yang-Hui He | Phase Structure of D-brane Gauge Theories and Toric Duality | 26 pages, 7 figures. We are grateful to Angel Uranga for crucial
Comments to a preliminary version of the draft | JHEP 0108:040,2001 | 10.1088/1126-6708/2001/08/040 | MIT-CTP-3070 | hep-th | null | Harnessing the unimodular degree of freedom in the definition of any toric
diagram, we present a method of constructing inequivalent gauge theories which
are world-volume theories of D-branes probing the same toric singularity. These
theories are various phases in partial resolution of Abelian orbifolds. As
examples, two phases are constructed for both the zeroth Hirzebruch and the
second del Pezzo surfaces. We show that such a phenomenon is a special case of
``Toric Duality'' proposed in hep-th/0003085. Furthermore, we investigate the
general conditions that distinguish these different gauge theories with the
same (toric) moduli space.
| [
{
"created": "Mon, 30 Apr 2001 15:42:51 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2001 21:21:45 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Jun 2001 00:22:47 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Feng",
"Bo",
""
],
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
]
] | Harnessing the unimodular degree of freedom in the definition of any toric diagram, we present a method of constructing inequivalent gauge theories which are world-volume theories of D-branes probing the same toric singularity. These theories are various phases in partial resolution of Abelian orbifolds. As examples, two phases are constructed for both the zeroth Hirzebruch and the second del Pezzo surfaces. We show that such a phenomenon is a special case of ``Toric Duality'' proposed in hep-th/0003085. Furthermore, we investigate the general conditions that distinguish these different gauge theories with the same (toric) moduli space. |
2005.01737 | Andrea Allais | Andrea Allais | Perturbative PDF of the total magnetization of the 4D Ising model | null | null | null | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | We compute, at one loop in perturbation theory, the probability density
function of the total magnetization $M$ of the Ising model on the 4-torus and
the 4-sphere. We develop a single perturbative expansion that is valid in the
symmetric phase as well as the broken symmetry phase, provided that the
correlation length is large compared to the system size $L$. We find that, at
the critical point, for large system size in lattice units, the PDF approaches
$p(M)\sim \exp(-f(L) M^4)$. Consequently, the critical value of the Binder
cumulant of the total magnetization is $U = 1 -
\frac{4\,\Gamma(5/4)^2}{3\,\Gamma(3/4)^2}$. We validate our results by
comparison with Monte Carlo simulation.
| [
{
"created": "Mon, 4 May 2020 18:00:04 GMT",
"version": "v1"
}
] | 2020-05-06 | [
[
"Allais",
"Andrea",
""
]
] | We compute, at one loop in perturbation theory, the probability density function of the total magnetization $M$ of the Ising model on the 4-torus and the 4-sphere. We develop a single perturbative expansion that is valid in the symmetric phase as well as the broken symmetry phase, provided that the correlation length is large compared to the system size $L$. We find that, at the critical point, for large system size in lattice units, the PDF approaches $p(M)\sim \exp(-f(L) M^4)$. Consequently, the critical value of the Binder cumulant of the total magnetization is $U = 1 - \frac{4\,\Gamma(5/4)^2}{3\,\Gamma(3/4)^2}$. We validate our results by comparison with Monte Carlo simulation. |
1807.09211 | Vittorio Del Duca | Vittorio Del Duca | A tale of two Regge limits | 7 pages. Based on talks given at Amplitudes 2018, SLAC, 18-22 June
2018, and at QCD@Work, Matera, 25-28 June 2018. Proc. of QCD@Work | null | 10.1051/epjconf/201819200009 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In light of the strong advances in understanding the mathematical structure
of scattering amplitudes, we discuss the Regge limit of QCD and of the ${\cal
N}=4$ Super Yang-Mills theory.
| [
{
"created": "Tue, 24 Jul 2018 16:19:39 GMT",
"version": "v1"
}
] | 2018-12-05 | [
[
"Del Duca",
"Vittorio",
""
]
] | In light of the strong advances in understanding the mathematical structure of scattering amplitudes, we discuss the Regge limit of QCD and of the ${\cal N}=4$ Super Yang-Mills theory. |
2304.12911 | Daniele Musso | Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso | Dipole symmetry breaking and fractonic Nambu-Goldstone mode | 33 pages, 2 figures. V2: minor editings in response to Sci-Post Core
peer-review process | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We introduce a family of quantum field theories for fields carrying monopole
and dipole charges. In contrast to previous realizations, fields have quadratic
two-derivative kinetic terms. The dipole symmetry algebra is realized in a
discretized internal space and connected to the physical space through a
background gauge field. We study spontaneous symmetry breaking of dipole
symmetry in 1+1 dimensions in a large-$N$ limit. The trivial classical vacuum
is lifted by quantum corrections into a vacuum which breaks dipole symmetry
while preserving monopole charge. By means of a Hubbard-Stratonovich
transformation, heat-kernel and large-$N$ techniques, we compute the effective
action for the low-energy modes. We encounter a fractonic immobile
Nambu-Goldstone mode whose dispersion characteristics avoid
Coleman-Hohenberg-Mermin-Wagner theorem independently of the large-$N$ limit.
| [
{
"created": "Tue, 25 Apr 2023 15:25:19 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2023 09:31:56 GMT",
"version": "v2"
}
] | 2023-12-05 | [
[
"Afxonidis",
"Evangelos",
""
],
[
"Caddeo",
"Alessio",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Musso",
"Daniele",
""
]
] | We introduce a family of quantum field theories for fields carrying monopole and dipole charges. In contrast to previous realizations, fields have quadratic two-derivative kinetic terms. The dipole symmetry algebra is realized in a discretized internal space and connected to the physical space through a background gauge field. We study spontaneous symmetry breaking of dipole symmetry in 1+1 dimensions in a large-$N$ limit. The trivial classical vacuum is lifted by quantum corrections into a vacuum which breaks dipole symmetry while preserving monopole charge. By means of a Hubbard-Stratonovich transformation, heat-kernel and large-$N$ techniques, we compute the effective action for the low-energy modes. We encounter a fractonic immobile Nambu-Goldstone mode whose dispersion characteristics avoid Coleman-Hohenberg-Mermin-Wagner theorem independently of the large-$N$ limit. |
1508.04776 | Yi-Fu Cai | Yi-Fu Cai, Hezi Zhang, Junyu Liu, Gong Cheng, Min Wang | Features and stability analysis of non-Schwarzschild black hole in
quadratic gravity | 18 pages, 4 figures, 1 table, several references added, version
published on JHEP | JHEP 1601 (2016) 108 | 10.1007/JHEP01(2016)108 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black holes are found to exist in gravitational theories with the presence of
quadratic curvature terms and behave differently from the Schwarzschild
solution. We present an exhaustive analysis for determining the quasinormal
modes of a test scalar field propagating in a new class of black hole
backgrounds in the case of pure Einstein-Weyl gravity. Our result shows that
the field decay of quasinormal modes in such a non-Schwarzschild black hole
behaves similarly to the Schwarzschild one, but the decay slope becomes much
smoother due to the appearance of the Weyl tensor square in the background
theory. We also analyze the frequencies of the quasinormal modes in order to
characterize the properties of new back holes, and thus, if these modes can be
the source of gravitational waves, the underlying theories may be testable in
future gravitational wave experiments. We briefly comment on the issue of
quantum (in)stability in this theory at linear order.
| [
{
"created": "Wed, 19 Aug 2015 20:08:56 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Aug 2015 02:46:23 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jan 2016 12:23:47 GMT",
"version": "v3"
}
] | 2016-01-20 | [
[
"Cai",
"Yi-Fu",
""
],
[
"Zhang",
"Hezi",
""
],
[
"Liu",
"Junyu",
""
],
[
"Cheng",
"Gong",
""
],
[
"Wang",
"Min",
""
]
] | Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a test scalar field propagating in a new class of black hole backgrounds in the case of pure Einstein-Weyl gravity. Our result shows that the field decay of quasinormal modes in such a non-Schwarzschild black hole behaves similarly to the Schwarzschild one, but the decay slope becomes much smoother due to the appearance of the Weyl tensor square in the background theory. We also analyze the frequencies of the quasinormal modes in order to characterize the properties of new back holes, and thus, if these modes can be the source of gravitational waves, the underlying theories may be testable in future gravitational wave experiments. We briefly comment on the issue of quantum (in)stability in this theory at linear order. |
hep-th/9612036 | null | Jens Hoppe and Tudor Ratiu | Hamiltonian Reduction of Diffeomorphism Invariant Field | 4 pages, LaTex | Class.Quant.Grav.14:L45-L48,1997 | 10.1088/0264-9381/14/2/003 | null | hep-th | null | For a variety of diffeomorphism-invariant field theories describing
hypersurface motions (such as relativistic M-branes in space-time dimension
M+2) we perform a Hamiltonian reduction ``at level 0'', showing that a simple
algebraic function of the normal velocity is canonically conjugate to the shape
\Sigma of the hypersurface. The Hamiltonian dependence on \Sigma is solely via
the domain of integration, raising hope for a consistent,
reparametrisation-invariant quantization.
| [
{
"created": "Tue, 3 Dec 1996 15:15:51 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Hoppe",
"Jens",
""
],
[
"Ratiu",
"Tudor",
""
]
] | For a variety of diffeomorphism-invariant field theories describing hypersurface motions (such as relativistic M-branes in space-time dimension M+2) we perform a Hamiltonian reduction ``at level 0'', showing that a simple algebraic function of the normal velocity is canonically conjugate to the shape \Sigma of the hypersurface. The Hamiltonian dependence on \Sigma is solely via the domain of integration, raising hope for a consistent, reparametrisation-invariant quantization. |
2311.12097 | Benjamin Knorr | Benjamin Knorr | Momentum-dependent field redefinitions in Asymptotic Safety | v2: minor clarifications | null | null | NORDITA 2023-065 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss general momentum-dependent field redefinitions in the context of
quantum-gravitational scattering amplitudes in general, and Asymptotic Safety
in particular. Implementing such redefinitions at the lowest curvature order,
we can bring the graviton propagator into tree-level form, avoiding issues of
fiducial ghost poles and their associated violations of unitarity. We compute
the beta function for Newton's constant, and find an asymptotically safe fixed
point whose critical exponent changes by $0.4\%$ compared to not resolving the
momentum-dependent field redefinition. This provides a strong indication that
this fixed point does not feature extra degrees of freedom related to ghostly
modes, and has a good chance of being related to a unitary theory.
| [
{
"created": "Mon, 20 Nov 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2024 14:34:33 GMT",
"version": "v2"
}
] | 2024-01-24 | [
[
"Knorr",
"Benjamin",
""
]
] | We discuss general momentum-dependent field redefinitions in the context of quantum-gravitational scattering amplitudes in general, and Asymptotic Safety in particular. Implementing such redefinitions at the lowest curvature order, we can bring the graviton propagator into tree-level form, avoiding issues of fiducial ghost poles and their associated violations of unitarity. We compute the beta function for Newton's constant, and find an asymptotically safe fixed point whose critical exponent changes by $0.4\%$ compared to not resolving the momentum-dependent field redefinition. This provides a strong indication that this fixed point does not feature extra degrees of freedom related to ghostly modes, and has a good chance of being related to a unitary theory. |
1410.3006 | Matthew Buican | Matthew Buican and Takahiro Nishinaka | Compact Conformal Manifolds | 19 pages; typos corrected; reference added | null | 10.1007/JHEP01(2015)112 | RU-NHETC-2014-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we begin a systematic study of compact conformal manifolds of
SCFTs in four dimensions (our notion of compactness is with respect to the
topology induced by the Zamolodchikov metric). Supersymmetry guarantees that
such manifolds are Kahler, and so the simplest possible non-trivial compact
conformal manifold in this set of geometries is a complex one-dimensional
projective space. We show that such a manifold is indeed realized and give a
general prescription for constructing complex N-dimensional projective space
conformal manifolds as certain small N=2->N=1 breaking deformations of strongly
interacting N=2 SCFTs. In many cases, our prescription reduces the construction
of such spaces to a study of the N=2 chiral ring. We also give an algorithm for
constructing more general compact spaces of SCFTs.
| [
{
"created": "Sat, 11 Oct 2014 15:20:59 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2014 20:19:28 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Buican",
"Matthew",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kahler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N-dimensional projective space conformal manifolds as certain small N=2->N=1 breaking deformations of strongly interacting N=2 SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N=2 chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs. |
1710.01076 | Jean Alexandre | Jean Alexandre, Peter Millington and Dries Seynaeve | Consistent description of field theories with non-Hermitian mass terms | null | null | 10.1088/1742-6596/952/1/012012 | KCL-PH-TH/2017-43 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review how to describe a field theory that includes a non-Hermitian mass
term in the region of parameter space where the Lagrangian is $PT$-symmetric.
The discrete symmetries of the system are essential for understanding the
consistency of the model, and the link between conserved current and variation
of the Lagrangian has to be revisited in the case of continuous symmetries.
| [
{
"created": "Tue, 3 Oct 2017 11:15:56 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Alexandre",
"Jean",
""
],
[
"Millington",
"Peter",
""
],
[
"Seynaeve",
"Dries",
""
]
] | We review how to describe a field theory that includes a non-Hermitian mass term in the region of parameter space where the Lagrangian is $PT$-symmetric. The discrete symmetries of the system are essential for understanding the consistency of the model, and the link between conserved current and variation of the Lagrangian has to be revisited in the case of continuous symmetries. |
1610.01318 | Charlotte Sleight | Charlotte Sleight | Interactions in Higher-Spin Gravity: a Holographic Perspective | Ph.D. thesis, 246 pages, 14 figures. Advisor: Prof. Dr. Johanna
Erdmenger. v2: Minor edits, refs added and typos fixed. Published as a
topical review in Journal of Physics A | J.Phys. A50 (2017) no.38, 383001 | 10.1088/1751-8121/aa820c | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis is an elaboration of recent results on the holographic
re-construction of metric-like interactions in higher-spin gauge theories on
anti-de Sitter space (AdS), employing their conjectured holographic duality
with free conformal field theories (CFTs). After reviewing the general approach
and establishing the necessary intermediate results, we extract explicit
expressions for the complete cubic action on AdS$_{d+1}$ and the quartic
self-interaction of the scalar on AdS$_4$ for the type A minimal bosonic
higher-spin theory from the three- and four- point correlation functions of
single-trace operators in the free scalar $O\left(N\right)$ vector model. For
this purpose tools were developed to evaluate tree-level three-point Witten
diagrams involving fields of arbitrary integer spin and the conformal partial
wave expansions of tree-level four-point Witten diagrams, which are underpinned
by the ambient space formulation of AdS space and CFT. We also discuss the
implications of the holographic duality on the locality properties of
interactions in higher-spin gauge theories.
| [
{
"created": "Wed, 5 Oct 2016 09:05:48 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Sep 2017 21:27:00 GMT",
"version": "v2"
}
] | 2017-09-27 | [
[
"Sleight",
"Charlotte",
""
]
] | This thesis is an elaboration of recent results on the holographic re-construction of metric-like interactions in higher-spin gauge theories on anti-de Sitter space (AdS), employing their conjectured holographic duality with free conformal field theories (CFTs). After reviewing the general approach and establishing the necessary intermediate results, we extract explicit expressions for the complete cubic action on AdS$_{d+1}$ and the quartic self-interaction of the scalar on AdS$_4$ for the type A minimal bosonic higher-spin theory from the three- and four- point correlation functions of single-trace operators in the free scalar $O\left(N\right)$ vector model. For this purpose tools were developed to evaluate tree-level three-point Witten diagrams involving fields of arbitrary integer spin and the conformal partial wave expansions of tree-level four-point Witten diagrams, which are underpinned by the ambient space formulation of AdS space and CFT. We also discuss the implications of the holographic duality on the locality properties of interactions in higher-spin gauge theories. |
1209.2842 | Anson Wong | Anson W.C. Wong, Robert B. Mann | A Soliton and a Black Hole are in Gauss-Bonnet gravity. Who wins? | 14 pages, 7 figures, 1 table | Phys. Rev. D 86, 124002 (2012) | 10.1103/PhysRevD.86.124002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study here the phase-transitional evolution between the Eguchi-Hanson
soliton, the orbifolded Schwarzschild Anti de-Sitter black hole, and orbifolded
thermal Anti de-Sitter space in Gauss-Bonnet gravity for a small Gauss-Bonnet
coefficient $\alpha$. Novel phase structure is uncovered for both negative and
positive $\alpha$ with spacetime configurations that are stable in Gauss-Bonnet
gravity without being so in Einsteinian gravity. The evolutionary tracks taken
towards such stable configurations are guided by quantum tunnelling and can be
represented with a phase diagram constructed by comparing the Euclidean actions
of each of our states as a function of $\alpha$ and the black hole radius
$r_b$. According to the AdS/CFT correspondence dictionary, it is expected that
some generalized version of closed-string tachyon condensation will exhibit the
phase behaviour found here.
| [
{
"created": "Thu, 13 Sep 2012 10:10:14 GMT",
"version": "v1"
}
] | 2012-12-14 | [
[
"Wong",
"Anson W. C.",
""
],
[
"Mann",
"Robert B.",
""
]
] | We study here the phase-transitional evolution between the Eguchi-Hanson soliton, the orbifolded Schwarzschild Anti de-Sitter black hole, and orbifolded thermal Anti de-Sitter space in Gauss-Bonnet gravity for a small Gauss-Bonnet coefficient $\alpha$. Novel phase structure is uncovered for both negative and positive $\alpha$ with spacetime configurations that are stable in Gauss-Bonnet gravity without being so in Einsteinian gravity. The evolutionary tracks taken towards such stable configurations are guided by quantum tunnelling and can be represented with a phase diagram constructed by comparing the Euclidean actions of each of our states as a function of $\alpha$ and the black hole radius $r_b$. According to the AdS/CFT correspondence dictionary, it is expected that some generalized version of closed-string tachyon condensation will exhibit the phase behaviour found here. |
hep-th/0311231 | Aninda Sinha | James Lucietti, Sakura Schafer-Nameki, Aninda Sinha | On the exact open-closed vertex in plane-wave light-cone string field
theory | 35 pages, 7 figures; v4: minor changes in appendix | Phys.Rev. D69 (2004) 086005 | 10.1103/PhysRevD.69.086005 | DAMTP-2003-131, DESY-03-186 | hep-th | null | The open-closed vertex in the maximally supersymmetric type IIB plane-wave
light-cone string field theory is considered and an explicit solution for the
bosonic part of the vertex is derived, valid for all values of the mass
parameter, \mu. This vertex is of relevance to IIB plane-wave orientifolds, as
well as IIB plane-wave strings in the presence of D-branes and their gauge
theory duals. Methods of complex analysis are used to develop a systematic
procedure for obtaining the solution. This procedure is first applied to the
vertex in flat space and then extended to the plane-wave case. The plane-wave
solution for the vertex requires introducing certain ``\mu-deformed Gamma
functions'', which are generalizations of the ordinary Gamma function. The
behaviour of the Neumann matrices is graphically illustrated and their
large-\mu asymptotics are analysed.
| [
{
"created": "Mon, 24 Nov 2003 21:17:22 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 2003 13:31:20 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Dec 2003 09:08:25 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Mar 2004 09:37:56 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Lucietti",
"James",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Sinha",
"Aninda",
""
]
] | The open-closed vertex in the maximally supersymmetric type IIB plane-wave light-cone string field theory is considered and an explicit solution for the bosonic part of the vertex is derived, valid for all values of the mass parameter, \mu. This vertex is of relevance to IIB plane-wave orientifolds, as well as IIB plane-wave strings in the presence of D-branes and their gauge theory duals. Methods of complex analysis are used to develop a systematic procedure for obtaining the solution. This procedure is first applied to the vertex in flat space and then extended to the plane-wave case. The plane-wave solution for the vertex requires introducing certain ``\mu-deformed Gamma functions'', which are generalizations of the ordinary Gamma function. The behaviour of the Neumann matrices is graphically illustrated and their large-\mu asymptotics are analysed. |
2004.06981 | Davoud Kamani | Shirin Teymourtashlou and Davoud Kamani | Left-Right Entanglement Entropy for a Dp-brane with Dynamics and
Background Fields | 16 pages, LATEX2e, No figure | Eur. Phys. J. C (2020) 80:323 | 10.1140/epjc/s10052-020-7883-0 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the left-right entanglement entropy of a boundary state,
corresponding to a dynamical D$p$-brane with the internal and background
fields. We assume that the brane has a tangential linear motion and a rotation,
and is dressed with an internal $U(1)$ gauge potential and the Kalb-Ramond
tensor field $B_{\mu\nu}$. We derive the entanglement entropy via the R\'{e}nyi
entropy by applying the replica trick. Our calculations will be in the context
of the bosonic string theory.
| [
{
"created": "Wed, 15 Apr 2020 10:02:51 GMT",
"version": "v1"
}
] | 2020-04-23 | [
[
"Teymourtashlou",
"Shirin",
""
],
[
"Kamani",
"Davoud",
""
]
] | We investigate the left-right entanglement entropy of a boundary state, corresponding to a dynamical D$p$-brane with the internal and background fields. We assume that the brane has a tangential linear motion and a rotation, and is dressed with an internal $U(1)$ gauge potential and the Kalb-Ramond tensor field $B_{\mu\nu}$. We derive the entanglement entropy via the R\'{e}nyi entropy by applying the replica trick. Our calculations will be in the context of the bosonic string theory. |
hep-th/9908019 | Boris Pioline | B. Pioline (Ecole Polytechnique) and A. Schwarz (UCDavis, IHES) | Morita equivalence and T-duality (or B versus $\Theta$) | 15 pages, latex2e, JHEP class; ; v2: minor typos corrected, 2 refs
added, note added in proof on relation with SW; final version to appear in
JHEP | JHEP 9908 (1999) 021 | 10.1088/1126-6708/1999/08/021 | CPHT-S730-0899, HES/P/99/64 | hep-th | null | T-duality in M(atrix) theory has been argued to be realized as Morita
equivalence in Yang-Mills theory on a non-commutative torus (NCSYM). Even
though the two have the same structure group, they differ in their action since
Morita equivalence makes crucial use of an additional modulus on the NCSYM
side, the constant Abelian magnetic background. In this paper, we reanalyze and
clarify the correspondence between M(atrix) theory and NCSYM, and provide two
resolutions of this puzzle. In the first of them, the standard map is kept and
the extra modulus is ignored, but the anomalous transformation is offset by the
M(atrix) theory ``rest term''. In the second, the standard map is modified so
that the duality transformations agree, and a $SO(d)$ symmetry is found to
eliminate the spurious modulus. We argue that this is a true symmetry of
supersymmetric Born-Infeld theory on a non-commutative torus, which allows to
freely trade a constant magnetic background for non-commutativity of the
base-space. We also obtain a BPS mass formula for this theory, invariant under
T-duality, U-duality, and continuous $SO(d)$ symmetry.
| [
{
"created": "Tue, 3 Aug 1999 12:55:55 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 1999 16:02:34 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Pioline",
"B.",
"",
"Ecole Polytechnique"
],
[
"Schwarz",
"A.",
"",
"UCDavis, IHES"
]
] | T-duality in M(atrix) theory has been argued to be realized as Morita equivalence in Yang-Mills theory on a non-commutative torus (NCSYM). Even though the two have the same structure group, they differ in their action since Morita equivalence makes crucial use of an additional modulus on the NCSYM side, the constant Abelian magnetic background. In this paper, we reanalyze and clarify the correspondence between M(atrix) theory and NCSYM, and provide two resolutions of this puzzle. In the first of them, the standard map is kept and the extra modulus is ignored, but the anomalous transformation is offset by the M(atrix) theory ``rest term''. In the second, the standard map is modified so that the duality transformations agree, and a $SO(d)$ symmetry is found to eliminate the spurious modulus. We argue that this is a true symmetry of supersymmetric Born-Infeld theory on a non-commutative torus, which allows to freely trade a constant magnetic background for non-commutativity of the base-space. We also obtain a BPS mass formula for this theory, invariant under T-duality, U-duality, and continuous $SO(d)$ symmetry. |
1002.1885 | Keun-young Kim | Nick Evans, Astrid Gebauer, Keun-Young Kim, and Maria Magou | Holographic Description of the Phase Diagram of a Chiral Symmetry
Breaking Gauge Theory | V1: 13 pages, 10 figures, V2: References added | JHEP 1003:132,2010 | 10.1007/JHEP03(2010)132 | null | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The large N_c N=4 gauge theory with quenched N=2 quark matter in the presence
of a magnetic field displays chiral symmetry breaking. We study the temperature
and chemical potential dependence of this theory using its gravity dual (based
on the D3/D7 brane system). With massless quarks, at zero chemical potential,
the theory displays a first order thermal transition where chiral symmetry is
restored and simultaneously the mesons of the theory melt. At zero temperature,
these transitions with chemical potential are second order and occur at
different chemical potential values. Between the three there are two
tri-critical points, the positions of which we identify. At finite quark mass
the second order transition for chiral symmetry becomes a cross over and there
is a critical point at the end of the first order transition, while the meson
melting transition remains similar to the massless quark case. We track the
movement of the critical points as the mass is raised relative to the magnetic
field.
| [
{
"created": "Tue, 9 Feb 2010 16:09:11 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jun 2010 09:32:04 GMT",
"version": "v2"
}
] | 2010-06-14 | [
[
"Evans",
"Nick",
""
],
[
"Gebauer",
"Astrid",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Magou",
"Maria",
""
]
] | The large N_c N=4 gauge theory with quenched N=2 quark matter in the presence of a magnetic field displays chiral symmetry breaking. We study the temperature and chemical potential dependence of this theory using its gravity dual (based on the D3/D7 brane system). With massless quarks, at zero chemical potential, the theory displays a first order thermal transition where chiral symmetry is restored and simultaneously the mesons of the theory melt. At zero temperature, these transitions with chemical potential are second order and occur at different chemical potential values. Between the three there are two tri-critical points, the positions of which we identify. At finite quark mass the second order transition for chiral symmetry becomes a cross over and there is a critical point at the end of the first order transition, while the meson melting transition remains similar to the massless quark case. We track the movement of the critical points as the mass is raised relative to the magnetic field. |
2307.04048 | Mokhtar Hassaine | Eloy Ay\'on-Beato and Mokhtar Hassaine | Uniqueness of the Jackiw non-Noetherian conformal scalar field | We dedicate this note to Prof. Roman Jackiw, the pioneer in the
exploration of non-Noetherian conformal scalar fields and a champion of
subtle thinking in the wonderland of symmetries | Annals of Physics 458 (2023) 169446 | 10.1016/j.aop.2023.169446 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Jackiw was undoubtedly the first to exhibit an example of a scalar field
action which is not conformally invariant whereas its equation of motion is.
This feature has recently been dubbed as a non-Noetherian conformal scalar
field. The paradigmatic example of Jackiw was the generalization to curved
spacetime of the two-dimensional Liouville action. Here, we prove that, up to
second order, this is the unique example of a non-Noetherian conformal scalar
field in two dimensions. We establish this result using an old and somewhat
forgotten theorem which is none other than the solution to the inverse problem
of the calculus of variations.
| [
{
"created": "Sat, 8 Jul 2023 21:27:41 GMT",
"version": "v1"
}
] | 2023-08-28 | [
[
"Ayón-Beato",
"Eloy",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] | Jackiw was undoubtedly the first to exhibit an example of a scalar field action which is not conformally invariant whereas its equation of motion is. This feature has recently been dubbed as a non-Noetherian conformal scalar field. The paradigmatic example of Jackiw was the generalization to curved spacetime of the two-dimensional Liouville action. Here, we prove that, up to second order, this is the unique example of a non-Noetherian conformal scalar field in two dimensions. We establish this result using an old and somewhat forgotten theorem which is none other than the solution to the inverse problem of the calculus of variations. |
1608.04732 | David Tong | Djordje Radicevic, David Tong and Carl Turner | Non-Abelian 3d Bosonization and Quantum Hall States | 21 pages. v2: typo corrected. v3: another typo corrected (chemical
potential rescaled) | null | 10.1007/JHEP12(2016)067 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bosonization dualities relate two different Chern-Simons-matter theories,
with bosonic matter on one side replaced by fermionic matter on the other. We
first describe a more general class of non-Abelian bosonization dualities. We
then explore the non-relativistic physics of these theories in the quantum Hall
regime. The bosonic theory lies in a condensed phase and admits vortices which
are known to form a non-Abelian quantum Hall state. We ask how this same
physics arises in the fermionic theory. We find that a condensed boson
corresponds to a fully filled Landau level of fermions, while bosonic vortices
map to fermionic holes. We confirm that the ground state of the two theories is
indeed described by the same quantum Hall wavefunction.
| [
{
"created": "Tue, 16 Aug 2016 19:58:03 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Sep 2016 16:28:46 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2016 08:38:42 GMT",
"version": "v3"
}
] | 2017-02-01 | [
[
"Radicevic",
"Djordje",
""
],
[
"Tong",
"David",
""
],
[
"Turner",
"Carl",
""
]
] | Bosonization dualities relate two different Chern-Simons-matter theories, with bosonic matter on one side replaced by fermionic matter on the other. We first describe a more general class of non-Abelian bosonization dualities. We then explore the non-relativistic physics of these theories in the quantum Hall regime. The bosonic theory lies in a condensed phase and admits vortices which are known to form a non-Abelian quantum Hall state. We ask how this same physics arises in the fermionic theory. We find that a condensed boson corresponds to a fully filled Landau level of fermions, while bosonic vortices map to fermionic holes. We confirm that the ground state of the two theories is indeed described by the same quantum Hall wavefunction. |
hep-th/0106004 | David Kutasov | A. Giveon and D. Kutasov | Notes on AdS_3 | 40 pages, harvmac; references added | Nucl.Phys.B621:303-336,2002 | 10.1016/S0550-3213(01)00573-9 | RI-5-01, EFI-01-19 | hep-th | null | We use the conjectured strong-weak coupling worldsheet duality between the
SL(2)/U(1) and Sine-Liouville conformal field theories to study some properties
of degenerate operators and to compute correlation functions in CFT on AdS_3.
The same quantities have been computed in the past by other means. The
agreement between the different approaches provides new evidence for the
duality. We also discuss the supersymmetric analog of this duality, the
correspondence between SCFT on the cigar and N=2 Liouville. We show that in the
spacetime CFT dual to string theory on AdS_3 via the AdS/CFT correspondence,
the central term in the Virasoro algebra takes different values in different
sectors of the theory. In a companion paper we use the results described here
to study D-branes in AdS_3.
| [
{
"created": "Fri, 1 Jun 2001 13:58:59 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Jun 2001 16:07:00 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2001 16:04:04 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Giveon",
"A.",
""
],
[
"Kutasov",
"D.",
""
]
] | We use the conjectured strong-weak coupling worldsheet duality between the SL(2)/U(1) and Sine-Liouville conformal field theories to study some properties of degenerate operators and to compute correlation functions in CFT on AdS_3. The same quantities have been computed in the past by other means. The agreement between the different approaches provides new evidence for the duality. We also discuss the supersymmetric analog of this duality, the correspondence between SCFT on the cigar and N=2 Liouville. We show that in the spacetime CFT dual to string theory on AdS_3 via the AdS/CFT correspondence, the central term in the Virasoro algebra takes different values in different sectors of the theory. In a companion paper we use the results described here to study D-branes in AdS_3. |
hep-th/0001006 | Buchholz | Rudolf Haag | Questions in quantum physics: a personal view | 15 pages | null | null | null | hep-th | null | An assessment of the present status of the theory, some immediate tasks which
are suggested thereby and some questions whose answers may require a longer
breath since they relate to significant changes in the conceptual and
mathematical structure of the theory.
| [
{
"created": "Mon, 3 Jan 2000 15:12:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Haag",
"Rudolf",
""
]
] | An assessment of the present status of the theory, some immediate tasks which are suggested thereby and some questions whose answers may require a longer breath since they relate to significant changes in the conceptual and mathematical structure of the theory. |
hep-th/0108120 | Freddy A. Cachazo B. | F. Cachazo, S. Katz and C. Vafa | Geometric Transitions and N=1 Quiver Theories | 56 pages, 2 figures; ref.[10] corrected | null | null | null | hep-th math.AG | null | We construct N=1 supersymmetric theories on worldvolumes of D5 branes wrapped
around 2-cycles of threefolds which are A-D-E fibrations over a plane. We
propose large N duals as geometric transitions involving blowdowns of two
cycles and blowups of three-cycles. This yields exact predictions for a large
class of N=1 supersymmetric gauge systems including U(N) gauge theories with
two adjoint matter fields deformed by superpotential terms, which arise in
A-D-E fibered geometries with non-trivial monodromies.
| [
{
"created": "Thu, 16 Aug 2001 15:38:24 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Aug 2001 17:44:57 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Cachazo",
"F.",
""
],
[
"Katz",
"S.",
""
],
[
"Vafa",
"C.",
""
]
] | We construct N=1 supersymmetric theories on worldvolumes of D5 branes wrapped around 2-cycles of threefolds which are A-D-E fibrations over a plane. We propose large N duals as geometric transitions involving blowdowns of two cycles and blowups of three-cycles. This yields exact predictions for a large class of N=1 supersymmetric gauge systems including U(N) gauge theories with two adjoint matter fields deformed by superpotential terms, which arise in A-D-E fibered geometries with non-trivial monodromies. |
1702.06484 | Calin Iuliu Lazaroiu | C. I. Lazaroiu, C. S. Shahbazi | Generalized two-field $\alpha$-attractor models from geometrically
finite hyperbolic surfaces | 60 pages | Nucl. Phys. B 936 (2018) 542-596 | 10.1016/j.nuclphysb.2018.09.018 | null | hep-th astro-ph.CO math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider four-dimensional gravity coupled to a non-linear sigma model
whose scalar manifold is a non-compact geometrically finite surface $\Sigma$
endowed with a Riemannian metric of constant negative curvature. When the
space-time is an FLRW universe, such theories produce a very wide
generalization of two-field $\alpha$-attractor models, being parameterized by a
positive constant $\alpha$, by the choice of a finitely-generated surface group
$\Gamma\subset \mathrm{PSL}(2,\mathbb{R})$ (which is isomorphic with the
fundamental group of $\Sigma$) and by the choice of a scalar potential defined
on $\Sigma$. The traditional two-field $\alpha$-attractor models arise when
$\Gamma$ is the trivial group, in which case $\Sigma$ is the Poincar\'e disk.
We give a general prescription for the study of such models through
uniformization in the so-called "non-elementary" case and discuss some of their
qualitative features in the gradient flow approximation, which we relate to
Morse theory. We also discuss some aspects of the SRST approximation in these
models, showing that it is generally not well-suited for studying dynamics near
cusp ends. When $\Sigma$ is non-compact and the scalar potential is
"well-behaved" at the ends, we show that, in the {\em naive} local one-field
truncation, our generalized models have the same universal behavior as ordinary
one-field $\alpha$-attractors if inflation happens near any of the ends of
$\Sigma$ where the extended potential has a local maximum, for trajectories
which are well approximated by non-canonically parameterized geodesics near the
ends, we also discuss spiral trajectories near the ends.
| [
{
"created": "Tue, 21 Feb 2017 17:27:17 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2017 12:38:08 GMT",
"version": "v2"
},
{
"created": "Tue, 29 May 2018 11:01:05 GMT",
"version": "v3"
},
{
"created": "Sun, 21 Oct 2018 19:38:15 GMT",
"version": "v4"
}
] | 2018-10-23 | [
[
"Lazaroiu",
"C. I.",
""
],
[
"Shahbazi",
"C. S.",
""
]
] | We consider four-dimensional gravity coupled to a non-linear sigma model whose scalar manifold is a non-compact geometrically finite surface $\Sigma$ endowed with a Riemannian metric of constant negative curvature. When the space-time is an FLRW universe, such theories produce a very wide generalization of two-field $\alpha$-attractor models, being parameterized by a positive constant $\alpha$, by the choice of a finitely-generated surface group $\Gamma\subset \mathrm{PSL}(2,\mathbb{R})$ (which is isomorphic with the fundamental group of $\Sigma$) and by the choice of a scalar potential defined on $\Sigma$. The traditional two-field $\alpha$-attractor models arise when $\Gamma$ is the trivial group, in which case $\Sigma$ is the Poincar\'e disk. We give a general prescription for the study of such models through uniformization in the so-called "non-elementary" case and discuss some of their qualitative features in the gradient flow approximation, which we relate to Morse theory. We also discuss some aspects of the SRST approximation in these models, showing that it is generally not well-suited for studying dynamics near cusp ends. When $\Sigma$ is non-compact and the scalar potential is "well-behaved" at the ends, we show that, in the {\em naive} local one-field truncation, our generalized models have the same universal behavior as ordinary one-field $\alpha$-attractors if inflation happens near any of the ends of $\Sigma$ where the extended potential has a local maximum, for trajectories which are well approximated by non-canonically parameterized geodesics near the ends, we also discuss spiral trajectories near the ends. |
2312.13718 | Jia Tian | Jia Tian and Tengzhou Lai | Thermodynamics and Holography of Three-dimensional Accelerating black
holes | 2nd version, 10 pages, 2 figures, refs updated and typo fixed | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We address the problem of describing the thermodynamics and holography of
three-dimensional accelerating black holes. By embedding the solutions in the
Chern-Simons formalism, we identify two distinct masses, each with its
associated first law of thermodynamics. We also show that a boundary entropy
should be included (or excluded) in the black hole entropy.
| [
{
"created": "Thu, 21 Dec 2023 10:30:59 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2024 11:52:54 GMT",
"version": "v2"
}
] | 2024-01-10 | [
[
"Tian",
"Jia",
""
],
[
"Lai",
"Tengzhou",
""
]
] | We address the problem of describing the thermodynamics and holography of three-dimensional accelerating black holes. By embedding the solutions in the Chern-Simons formalism, we identify two distinct masses, each with its associated first law of thermodynamics. We also show that a boundary entropy should be included (or excluded) in the black hole entropy. |
2101.12235 | Mohammad Akhond | Mohammad Akhond, Federico Carta, Siddharth Dwivedi, Hirotaka Hayashi,
Sung-Soo Kim, Futoshi Yagi | Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers | 46 pages, 10 tables, many pictures, v2: references added, typos
corrected, v3: Appendix E added, matches published version | JHEP05(2021)269 | 10.1007/JHEP05(2021)269 | CTP-SCU/2021017 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with
unitary, orthogonal and symplectic gauge nodes, that fall into exceptional
sequences. We find that both the Higgs and Coulomb branches of the moduli space
factorise into decoupled sectors. Each decoupled sector is described by a
single quiver gauge theory with only unitary gauge nodes. The orthosymplectic
quivers serve as magnetic quivers for 5d $\mathcal{N}=1$ superconformal field
theories which can be engineered in type IIB string theories both with and
without an O5 plane. We use this point of view to postulate the dual pairs of
unitary and orthosymplectic quivers by deriving them as magnetic quivers of the
5d theory. We use this correspondence to conjecture exact highest weight
generating functions for the Coulomb branch Hilbert series of the
orthosymplectic quivers, and provide tests of these results by directly
computing the Hilbert series for the orthosymplectic quivers in a series
expansion.
| [
{
"created": "Thu, 28 Jan 2021 19:13:49 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2021 13:34:52 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jun 2021 12:16:23 GMT",
"version": "v3"
}
] | 2021-06-04 | [
[
"Akhond",
"Mohammad",
""
],
[
"Carta",
"Federico",
""
],
[
"Dwivedi",
"Siddharth",
""
],
[
"Hayashi",
"Hirotaka",
""
],
[
"Kim",
"Sung-Soo",
""
],
[
"Yagi",
"Futoshi",
""
]
] | We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise into decoupled sectors. Each decoupled sector is described by a single quiver gauge theory with only unitary gauge nodes. The orthosymplectic quivers serve as magnetic quivers for 5d $\mathcal{N}=1$ superconformal field theories which can be engineered in type IIB string theories both with and without an O5 plane. We use this point of view to postulate the dual pairs of unitary and orthosymplectic quivers by deriving them as magnetic quivers of the 5d theory. We use this correspondence to conjecture exact highest weight generating functions for the Coulomb branch Hilbert series of the orthosymplectic quivers, and provide tests of these results by directly computing the Hilbert series for the orthosymplectic quivers in a series expansion. |
hep-th/0512302 | Konstantinos Zoubos | Manuela Kulaxizi and Konstantinos Zoubos | Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory | 7 pages. Talk by K. Z. at the RTN conference "Constituents,
Fundamental Forces and Symmetries of the Universe", Corfu, Greece, Sept.
20-26, 2005. Contribution to the proceedings | Fortsch.Phys. 54 (2006) 423-429 | 10.1002/prop.200510299 | QMUL-PH-05-20 | hep-th | null | The topological B-model with target the supertwistor space CP(3|4) is known
to describe perturbative amplitudes of N=4 Super Yang-Mills theory. We review
the extension of this correspondence to the superconformal gauge theories that
arise as marginal deformations of N=4 by considering the effects of turning on
a certain closed string background, which results in non-anticommutativity in
the fermionic directions of CP(3|4). We generalise the twistor string
prescription for amplitudes to this case and illustrate it with some simple
examples.
| [
{
"created": "Fri, 23 Dec 2005 15:28:48 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kulaxizi",
"Manuela",
""
],
[
"Zoubos",
"Konstantinos",
""
]
] | The topological B-model with target the supertwistor space CP(3|4) is known to describe perturbative amplitudes of N=4 Super Yang-Mills theory. We review the extension of this correspondence to the superconformal gauge theories that arise as marginal deformations of N=4 by considering the effects of turning on a certain closed string background, which results in non-anticommutativity in the fermionic directions of CP(3|4). We generalise the twistor string prescription for amplitudes to this case and illustrate it with some simple examples. |
1501.06577 | Joseph Polchinski | Eric Mintun, Joseph Polchinski, and Vladimir Rosenhaus | Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Correction | 5 2-column pages. 2 figures. v2: Added discussion and clarifications.
v3: References added, notational improvements, typo corrections, small
clarifications | Phys. Rev. Lett. 115, 151601 (2015) | 10.1103/PhysRevLett.115.151601 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Almheiri, Dong, and Harlow have argued that the localization of
bulk information in a boundary dual should be understood in terms of quantum
error correction. We show that this structure appears naturally when the gauge
invariance of the boundary theory is incorporated. This provides a new
understanding of the non-uniqueness of the bulk fields (precursors). It
suggests a close connection between gauge invariance and the emergence of
spacetime.
| [
{
"created": "Mon, 26 Jan 2015 21:00:12 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Feb 2015 22:15:46 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Aug 2015 18:19:24 GMT",
"version": "v3"
}
] | 2015-10-14 | [
[
"Mintun",
"Eric",
""
],
[
"Polchinski",
"Joseph",
""
],
[
"Rosenhaus",
"Vladimir",
""
]
] | Recently, Almheiri, Dong, and Harlow have argued that the localization of bulk information in a boundary dual should be understood in terms of quantum error correction. We show that this structure appears naturally when the gauge invariance of the boundary theory is incorporated. This provides a new understanding of the non-uniqueness of the bulk fields (precursors). It suggests a close connection between gauge invariance and the emergence of spacetime. |
hep-th/9808078 | Garnik G. Alexanian | G.Alexanian, E.F.Moreno | Renormalization of the Hamiltonian and a geometric interpretation of
asymptotic freedom | 22 pages, LaTeX, no figures; final version accepted in Phys.Rev.D;
added reference and appendix with comment on solution of eq. (9) in the text | Phys.Rev. D60 (1999) 105028 | 10.1103/PhysRevD.60.105028 | CCNY-HEP 98/4 | hep-th | null | Using a novel approach to renormalization in the Hamiltonian formalism, we
study the connection between asymptotic freedom and the renormalization group
flow of the configuration space metric. It is argued that in asymptotically
free theories the effective distance between configuration decreases as high
momentum modes are integrated out.
| [
{
"created": "Thu, 13 Aug 1998 17:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 1998 16:16:31 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 1999 15:31:27 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Alexanian",
"G.",
""
],
[
"Moreno",
"E. F.",
""
]
] | Using a novel approach to renormalization in the Hamiltonian formalism, we study the connection between asymptotic freedom and the renormalization group flow of the configuration space metric. It is argued that in asymptotically free theories the effective distance between configuration decreases as high momentum modes are integrated out. |
2105.08790 | Bruno Carneiro da Cunha | Bruno Carneiro da Cunha and Jo\~ao Paulo Cavalcante | Teukolsky master equation and Painlev\'e transcendents: numerics and
extremal limit | REVTeX 4.2, 17 pages, 7 figures; version 2 with added references and
better control of the Stokes phenomenon in the numerical calculations.
Results now agree within machine precision to the method of choice when they
are both applicable | null | 10.1103/PhysRevD.104.084051 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conduct an analysis of the quasi-normal modes for generic spin
perturbations of the Kerr black hole using the isomonodromic method. The
strategy consists of solving the Riemann-Hilbert map relating the accessory
parameters of the differential equations involved to monodromy properties of
the solutions, using the $\tau$-function for the Painlev\'e V transcendent. We
show good accordance of the method with the literature for generic rotation
parameter $a<M$. In the extremal limit, we determined the dependence of the
modes with the black hole temperature and establish that the extremal values of
the modes are obtainable from the Painlev\'e V and III transcendents.
| [
{
"created": "Tue, 18 May 2021 19:18:44 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 2021 12:44:09 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"da Cunha",
"Bruno Carneiro",
""
],
[
"Cavalcante",
"João Paulo",
""
]
] | We conduct an analysis of the quasi-normal modes for generic spin perturbations of the Kerr black hole using the isomonodromic method. The strategy consists of solving the Riemann-Hilbert map relating the accessory parameters of the differential equations involved to monodromy properties of the solutions, using the $\tau$-function for the Painlev\'e V transcendent. We show good accordance of the method with the literature for generic rotation parameter $a<M$. In the extremal limit, we determined the dependence of the modes with the black hole temperature and establish that the extremal values of the modes are obtainable from the Painlev\'e V and III transcendents. |
2109.04505 | E. R. Bezerra De Mello | S. Bellucci, W. Oliveira dos Santos, E. R. Bezerra de Mello and A. A.
Saharian | Fermionic vacuum polarization around a cosmic string in compactified AdS
spacetime | 24 pages, 6 figures | null | 10.1088/1475-7516/2022/01/010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate topological effects of a cosmic string and compactification of
a spatial dimension on the vacuum expectation value (VEV) of the
energy-momentum tensor for a fermionic field in (4+1)-dimensional locally AdS
spacetime. The contribution induced by the compactification is explicitly
extracted by using the Abel-Plana summation formula. The mean energy-momentum
tensor is diagonal and the vacuum stresses along the direction perpendicular to
the AdS boundary and along the cosmic string are equal to the energy density.
All the components are even periodic functions of the magnetic fluxes inside
the string core and enclosed by compact dimension, with the period equal to the
flux quantum. The vacuum energy density can be either positive or negative,
depending on the values of the parameters and the distance from the string. The
topological contributions in the VEV of the energy-momentum tensor vanish on
the AdS boundary. Near the string the effects of compactification and
gravitational field are weak and the leading term in the asymptotic expansion
coincides with the corresponding VEV in (4+1)-dimensional Minkowski spacetime.
At large distances, the decay of the cosmic string induced contribution in the
vacuum energy-momentum tensor, as a function of the proper distance from the
string, follows a power law. For a cosmic string in the Minkowski bulk and for
massive fields the corresponding fall off is exponential. Within the framework
of the AdS/CFT correspondence, the geometry for conformal field theory on the
AdS boundary corresponds to the standard cosmic string in (3+1)-dimensional
Minkowski spacetime compactified along its axis.
| [
{
"created": "Thu, 9 Sep 2021 18:33:17 GMT",
"version": "v1"
}
] | 2022-01-12 | [
[
"Bellucci",
"S.",
""
],
[
"Santos",
"W. Oliveira dos",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] | We investigate topological effects of a cosmic string and compactification of a spatial dimension on the vacuum expectation value (VEV) of the energy-momentum tensor for a fermionic field in (4+1)-dimensional locally AdS spacetime. The contribution induced by the compactification is explicitly extracted by using the Abel-Plana summation formula. The mean energy-momentum tensor is diagonal and the vacuum stresses along the direction perpendicular to the AdS boundary and along the cosmic string are equal to the energy density. All the components are even periodic functions of the magnetic fluxes inside the string core and enclosed by compact dimension, with the period equal to the flux quantum. The vacuum energy density can be either positive or negative, depending on the values of the parameters and the distance from the string. The topological contributions in the VEV of the energy-momentum tensor vanish on the AdS boundary. Near the string the effects of compactification and gravitational field are weak and the leading term in the asymptotic expansion coincides with the corresponding VEV in (4+1)-dimensional Minkowski spacetime. At large distances, the decay of the cosmic string induced contribution in the vacuum energy-momentum tensor, as a function of the proper distance from the string, follows a power law. For a cosmic string in the Minkowski bulk and for massive fields the corresponding fall off is exponential. Within the framework of the AdS/CFT correspondence, the geometry for conformal field theory on the AdS boundary corresponds to the standard cosmic string in (3+1)-dimensional Minkowski spacetime compactified along its axis. |
0911.4323 | Motomu Tsuda | Kazunari Shima and Motomu Tsuda | Physical significances of NL/L SUSY relation | 15 pages, Talk given at the 8th conference Symmetry In Nonlinear
Mathematical Physics, June 21-27, 2009, Kiev, Ukraine | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss explicitly the details and some remarkable physical consequences
of the NL/L SUSY relation between N = 2 LSUSY QED and N = 2 NLSUSY in
two-dimensional space-time, which may show the potential of the SUSY composite
model for the theory of everything beyond the SM.
| [
{
"created": "Mon, 23 Nov 2009 04:26:49 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Dec 2009 05:15:00 GMT",
"version": "v2"
}
] | 2009-12-27 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We discuss explicitly the details and some remarkable physical consequences of the NL/L SUSY relation between N = 2 LSUSY QED and N = 2 NLSUSY in two-dimensional space-time, which may show the potential of the SUSY composite model for the theory of everything beyond the SM. |
2311.10565 | Ziqi Yan | Joaquim Gomis, Ziqi Yan | Worldsheet Formalism for Decoupling Limits in String Theory | 84 pages, 10 figures; v2: minor clarifications, typos fixed,
references added; v3: reorganization for emphasizing the worldsheet
perspective, no result changed, clarifications added | JHEP 07 (2024) 102 | 10.1007/JHEP07(2024)102 | NORDITA-2023-072 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the bosonic sector of a decoupling limit of type IIA superstring
theory, where a background Ramond-Ramond one-form is fined tuned to its
critical value, such that it cancels the associated background D0-brane
tension. The light excitations in this critical limit are D0-branes, whose
dynamics is described by the Banks-Fischler-Shenker-Susskind (BFSS) Matrix
theory that corresponds to M-theory in the Discrete Light-Cone Quantization
(DLCQ). We develop the worldsheet formalism for the fundamental string in the
same critical limit of type IIA superstring theory. We show that the
fundamental string develops singularities on its worldsheet, whose topology is
described by nodal Riemann spheres as in ambitwistor string theory. We study
the T-duality transformations of this string sigma model and provide a
worldsheet derivation for the recently revived and expanded duality web that
unifies a zoo of decoupling limits in type II superstring theories. By matching
the string worldsheet actions, we demonstrate how some of these decoupling
limits are related to tensionless (and ambitwistor) string theory, Carrollian
string theory, the Spin Matrix limits of the AdS/CFT correspondence, and more.
| [
{
"created": "Fri, 17 Nov 2023 14:59:43 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2023 17:42:44 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jun 2024 08:02:17 GMT",
"version": "v3"
}
] | 2024-07-16 | [
[
"Gomis",
"Joaquim",
""
],
[
"Yan",
"Ziqi",
""
]
] | We study the bosonic sector of a decoupling limit of type IIA superstring theory, where a background Ramond-Ramond one-form is fined tuned to its critical value, such that it cancels the associated background D0-brane tension. The light excitations in this critical limit are D0-branes, whose dynamics is described by the Banks-Fischler-Shenker-Susskind (BFSS) Matrix theory that corresponds to M-theory in the Discrete Light-Cone Quantization (DLCQ). We develop the worldsheet formalism for the fundamental string in the same critical limit of type IIA superstring theory. We show that the fundamental string develops singularities on its worldsheet, whose topology is described by nodal Riemann spheres as in ambitwistor string theory. We study the T-duality transformations of this string sigma model and provide a worldsheet derivation for the recently revived and expanded duality web that unifies a zoo of decoupling limits in type II superstring theories. By matching the string worldsheet actions, we demonstrate how some of these decoupling limits are related to tensionless (and ambitwistor) string theory, Carrollian string theory, the Spin Matrix limits of the AdS/CFT correspondence, and more. |
1212.6918 | Elena-Mirela Babalic Dr | Calin-Iuliu Lazaroiu, Elena-Mirela Babalic | Geometric algebra techniques in flux compactifications (II) | 56 pages, 2 figures, some commutative diagrams | JHEP06(2013)054 | 10.1007/JHEP06(2013)054 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study constrained generalized Killing spinors over the metric cone and
cylinder of a (pseudo-)Riemannian manifold, developing a toolkit which can be
used to investigate certain problems arising in supersymmetric flux
compactifications of supergravity theories. Using geometric algebra techniques,
we give conceptually clear and computationally effective methods for
translating supersymmetry conditions for the metric and fluxes of the unit
section of such cylinders and cones into differential and algebraic constraints
on collections of differential forms defined on the cylinder or cone. In
particular, we give a synthetic description of Fierz identities, which are an
important ingredient of such problems. As a non-trivial application, we
consider the most general N=2 compactification of eleven-dimensional
supergravity on eight-manifolds.
| [
{
"created": "Mon, 31 Dec 2012 16:16:24 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Oct 2013 14:08:23 GMT",
"version": "v2"
}
] | 2013-10-22 | [
[
"Lazaroiu",
"Calin-Iuliu",
""
],
[
"Babalic",
"Elena-Mirela",
""
]
] | We study constrained generalized Killing spinors over the metric cone and cylinder of a (pseudo-)Riemannian manifold, developing a toolkit which can be used to investigate certain problems arising in supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions for the metric and fluxes of the unit section of such cylinders and cones into differential and algebraic constraints on collections of differential forms defined on the cylinder or cone. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As a non-trivial application, we consider the most general N=2 compactification of eleven-dimensional supergravity on eight-manifolds. |
2105.04152 | Rabin Banerjee | Rabin Banerjee | Hamiltonian Formulation of Higher Rank Symmetric Gauge Theories | 20 pages, no figures; V2 (21 pages) has some changes that highlight
the novelty of the present work. Version to appear in EPJC | null | 10.1140/epjc/s10052-021-09964-2 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent discussions of higher rank symmetric (fractonic) gauge theories have
revealed the important role of Gauss constraints. This has prompted the present
study where a detailed hamiltonian analysis of such theories is presented.
Besides a general treatment, the traceless scalar charge theory is considered
in details. A new form for the action is given which, in 2+1 dimensions, yields
area preserving diffeomorphisms. Investigation of global symmetries reveals
that this diffeomorphism invariance induces a noncommuting charge algebra that
gets exactly mapped to the algebra of coordinates in the lowest Landau level
problem. Connections of this charge algebra to noncommutative fluid dynamics
and magnetohydrodynamics are shown.
| [
{
"created": "Mon, 10 May 2021 07:15:47 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 12:05:10 GMT",
"version": "v2"
}
] | 2022-01-26 | [
[
"Banerjee",
"Rabin",
""
]
] | Recent discussions of higher rank symmetric (fractonic) gauge theories have revealed the important role of Gauss constraints. This has prompted the present study where a detailed hamiltonian analysis of such theories is presented. Besides a general treatment, the traceless scalar charge theory is considered in details. A new form for the action is given which, in 2+1 dimensions, yields area preserving diffeomorphisms. Investigation of global symmetries reveals that this diffeomorphism invariance induces a noncommuting charge algebra that gets exactly mapped to the algebra of coordinates in the lowest Landau level problem. Connections of this charge algebra to noncommutative fluid dynamics and magnetohydrodynamics are shown. |
hep-th/9406009 | Andrei Linde | Eric Bergshoeff, Renata Kallosh and Tomas Ortin | Black-Hole-Wave Duality in String Theory | 12 pages, LaTeX, preprint UG-3/94, SU-ITP-94-11, QMW-PH-94-15 | Phys.Rev. D50 (1994) 5188-5192 | 10.1103/PhysRevD.50.5188 | null | hep-th gr-qc | null | Extreme 4-dimensional dilaton black holes embedded into 10-dimensional
geometry are shown to be dual to the gravitational waves in string theory. The
corresponding gravitational waves are the generalization of pp-fronted waves,
called supersymmetric string waves. They are given by Brinkmann metric and the
two-form field, without a dilaton. The non-diagonal part of the metric of the
dual partner of the wave together with the two-form field correspond to the
vector field in 4-dimensional geometry of the charged extreme black holes.
| [
{
"created": "Fri, 3 Jun 1994 04:39:51 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Ortin",
"Tomas",
""
]
] | Extreme 4-dimensional dilaton black holes embedded into 10-dimensional geometry are shown to be dual to the gravitational waves in string theory. The corresponding gravitational waves are the generalization of pp-fronted waves, called supersymmetric string waves. They are given by Brinkmann metric and the two-form field, without a dilaton. The non-diagonal part of the metric of the dual partner of the wave together with the two-form field correspond to the vector field in 4-dimensional geometry of the charged extreme black holes. |
1904.05755 | Jan Ambjorn | J. Ambjorn, D. Coumbe, J. Gizbert-Studnicki, A.G\"orlich and J.
Jurkiewicz | Critical Phenomena in Causal Dynamical Triangulations | 41 pages, many figures | Class. Quantum Grav. 36, 224001 (2019) | 10.1088/1361-6382/ab4184 | null | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of
geometries which one might use in an attempt to define quantum gravity
non-perturbatively, following the standard procedures of lattice field theory.
Being a theory of geometries, the phase transitions which in usual lattice
field theories are used to define the continuum limit of the lattice theory
will in the CDT case be transitions between different types of geometries. This
picture is interwoven with the topology of space which is kept fixed in the
lattice theory, the reason being that "classical" geometries around which the
quantum fluctuations take place depend crucially on the imposed topology. Thus
it is possible that the topology of space can influence the phase transitions
and the corresponding critical phenomena used to extract continuum physics. In
this article we perform a systematic comparison between a CDT phase transition
where space has spherical topology and the "same" transition where space has
toroidal topology. The "classical" geometries around which the systems
fluctuate are very different it the two cases, but we find that the order of
phase transition is not affected by this.
| [
{
"created": "Thu, 11 Apr 2019 15:13:42 GMT",
"version": "v1"
}
] | 2020-03-19 | [
[
"Ambjorn",
"J.",
""
],
[
"Coumbe",
"D.",
""
],
[
"Gizbert-Studnicki",
"J.",
""
],
[
"Görlich",
"A.",
""
],
[
"Jurkiewicz",
"J.",
""
]
] | Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a theory of geometries, the phase transitions which in usual lattice field theories are used to define the continuum limit of the lattice theory will in the CDT case be transitions between different types of geometries. This picture is interwoven with the topology of space which is kept fixed in the lattice theory, the reason being that "classical" geometries around which the quantum fluctuations take place depend crucially on the imposed topology. Thus it is possible that the topology of space can influence the phase transitions and the corresponding critical phenomena used to extract continuum physics. In this article we perform a systematic comparison between a CDT phase transition where space has spherical topology and the "same" transition where space has toroidal topology. The "classical" geometries around which the systems fluctuate are very different it the two cases, but we find that the order of phase transition is not affected by this. |
2306.16445 | Gabriel Herczeg | Kara Farnsworth, Michael Graesser, Gabriel Herczeg | Double Kerr-Schild spacetimes and the Newman-Penrose map | Journal version | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | The Newman-Penrose map, which is closely related to the classical double
copy, associates certain exact solutions of Einstein's equations with self-dual
solutions of the vacuum Maxwell equations. Here we initiate an extension of the
Newman-Penrose map to a broader class of spacetimes. As an example, we apply
principles from the Newman-Penrose map to associate a self-dual gauge field to
the Kerr-Taub-NUT-(A)dS spacetime and we show that the result agrees with
previously studied examples of classical double copies. The corresponding field
strength exhibits a discrete electric-magnetic duality that is distinct from
its (Hodge star) self-dual property.
| [
{
"created": "Wed, 28 Jun 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2023 14:11:54 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Sep 2023 18:47:10 GMT",
"version": "v3"
}
] | 2023-09-20 | [
[
"Farnsworth",
"Kara",
""
],
[
"Graesser",
"Michael",
""
],
[
"Herczeg",
"Gabriel",
""
]
] | The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein's equations with self-dual solutions of the vacuum Maxwell equations. Here we initiate an extension of the Newman-Penrose map to a broader class of spacetimes. As an example, we apply principles from the Newman-Penrose map to associate a self-dual gauge field to the Kerr-Taub-NUT-(A)dS spacetime and we show that the result agrees with previously studied examples of classical double copies. The corresponding field strength exhibits a discrete electric-magnetic duality that is distinct from its (Hodge star) self-dual property. |
1906.11223 | Sridip Pal | Sridip Pal | Bound on asymptotics of magnitude of three point coefficients in 2D CFT | 41 pages, many figures, v2: 43 pages, typos fixed, notation
clarified, references and new graph added v3: refined argument and more
precise numerics | J. High Energ. Phys. 2020, 23 (2020) | 10.1007/JHEP01(2020)023 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use methods inspired from complex Tauberian theorems to make progress in
understanding the asymptotic behavior of the magnitude of heavy-light-heavy
three point coefficients rigorously. The conditions and the precise sense of
averaging, which can lead to exponential suppression of such coefficients are
investigated. We derive various bounds for the typical average value of the
magnitude of heavy-light-heavy three point coefficients and verify them
numerically.
| [
{
"created": "Wed, 26 Jun 2019 17:30:08 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2019 06:47:41 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Oct 2019 00:08:56 GMT",
"version": "v3"
}
] | 2020-01-15 | [
[
"Pal",
"Sridip",
""
]
] | We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically. |
1201.2099 | Laura Andrianopoli Dr | Laura Andrianopoli, Riccardo D'Auria and Sergio Ferrara | Black holes in the Superworld | Contribution to the Proceedings of the International Symposium on
"Subnuclear Physics: Past, Present and Future" held at the Pontificial
Academy of Sciences, Vatican City, 30 October - 2 November 2011. 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some aspects of black holes in supersymmetric theories of gravity are
reviewed and some recent results outlined.
| [
{
"created": "Tue, 10 Jan 2012 16:15:30 GMT",
"version": "v1"
}
] | 2012-01-11 | [
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Ferrara",
"Sergio",
""
]
] | Some aspects of black holes in supersymmetric theories of gravity are reviewed and some recent results outlined. |
hep-th/0510215 | Pietro Antonio Grassi | P. A. Grassi (Ctr. Fermi, Roma, UPO, CERN) J. F. Morales Morera (CERN) | Partition Functions of Pure Spinors | LaTex, 30 pp | Nucl.Phys.B751:53-74,2006 | 10.1016/j.nuclphysb.2006.05.021 | DISTA-UPO-05, CERN-PH-TH/2005-207 | hep-th | null | We compute partition functions describing multiplicities and charges of
massless and first massive string states of pure-spinor superstrings in
3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet
of minimal supersymmetry in d dimensions. At the first massive string level we
find a massive spin-two multiplet. The result is confirmed by a direct analysis
of the BRST cohomology at ghost number one. The central charges of the pure
spinor systems are derived in a manifestly SO(d) covariant way confirming that
the resulting string theories are critical. A critical string model with
N=(2,0) supersymmetry in d=2 is also described.
| [
{
"created": "Tue, 25 Oct 2005 19:19:19 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Grassi",
"P. A.",
"",
"Ctr. Fermi, Roma, UPO, CERN"
],
[
"Morera",
"J. F. Morales",
"",
"CERN"
]
] | We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal supersymmetry in d dimensions. At the first massive string level we find a massive spin-two multiplet. The result is confirmed by a direct analysis of the BRST cohomology at ghost number one. The central charges of the pure spinor systems are derived in a manifestly SO(d) covariant way confirming that the resulting string theories are critical. A critical string model with N=(2,0) supersymmetry in d=2 is also described. |
1703.03079 | Giorgio Torrieri | David Montenegro, Leonardo Tinti, Giorgio Torrieri | Sound waves and vortices in a polarized relativistic fluid | Version accepted for publication, Phys.Rev.D | Phys. Rev. D 96, 076016 (2017) | 10.1103/PhysRevD.96.076016 | null | hep-th hep-ph nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the effective theory approach to the ideal fluid limit where the
polarization of the fluid is non-zero. After describing and motivating the
equations of motion, we expand them around the hydrostatic limit, obtaining the
sound wave and vortex degrees of freedom. We discuss how the presence of
polarization affects the stability and causality of the ideal fluid limit.
| [
{
"created": "Thu, 9 Mar 2017 00:03:29 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2017 18:30:48 GMT",
"version": "v2"
}
] | 2017-11-01 | [
[
"Montenegro",
"David",
""
],
[
"Tinti",
"Leonardo",
""
],
[
"Torrieri",
"Giorgio",
""
]
] | We extend the effective theory approach to the ideal fluid limit where the polarization of the fluid is non-zero. After describing and motivating the equations of motion, we expand them around the hydrostatic limit, obtaining the sound wave and vortex degrees of freedom. We discuss how the presence of polarization affects the stability and causality of the ideal fluid limit. |
hep-th/9705201 | Maxim Zabzin | Ulf Lindstrom, Maxim Zabzine (Stockholm University) | The topology of multi-coupling deformations of CFT | 10 pages, LaTeX | null | null | USITP-97-08 | hep-th cond-mat | null | We discuss the topological properties of the manifold of coupling constants
for multi-coupling deformations of conformal field theories. We calculate the
Euler and Betti numbers and briefly discuss physical applications of these
results.
| [
{
"created": "Tue, 27 May 1997 08:30:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lindstrom",
"Ulf",
"",
"Stockholm University"
],
[
"Zabzine",
"Maxim",
"",
"Stockholm University"
]
] | We discuss the topological properties of the manifold of coupling constants for multi-coupling deformations of conformal field theories. We calculate the Euler and Betti numbers and briefly discuss physical applications of these results. |
hep-th/0507206 | Joseph C. V\'arilly | Victor Gayral, Bruno Iochum and Joseph C. Varilly | Dixmier traces on noncompact isospectral deformations | 30 pages, no figures; several minor improvements, to appear in J.
Funct. Anal | J.Funct.Anal. 237 (2006) 507-539 | null | CPT-2005/P.041 | hep-th math.OA | null | We extend the isospectral deformations of Connes, Landi and Dubois-Violette
to the case of Riemannian spin manifolds carrying a proper action of the
noncompact abelian group $R^l$. Under deformation by a torus action, a standard
formula relates Dixmier traces of measurable operators to integrals of
functions on the manifold. We show that this relation persists for actions of
$R^l$, under mild restrictions on the geometry of the manifold which guarantee
the Dixmier traceability of those operators.
| [
{
"created": "Thu, 21 Jul 2005 05:06:41 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Apr 2006 05:59:15 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gayral",
"Victor",
""
],
[
"Iochum",
"Bruno",
""
],
[
"Varilly",
"Joseph C.",
""
]
] | We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group $R^l$. Under deformation by a torus action, a standard formula relates Dixmier traces of measurable operators to integrals of functions on the manifold. We show that this relation persists for actions of $R^l$, under mild restrictions on the geometry of the manifold which guarantee the Dixmier traceability of those operators. |
2404.09547 | Yuhang Zhu | Shuntaro Aoki, Lucas Pinol, Fumiya Sano, Masahide Yamaguchi and Yuhang
Zhu | Cosmological Correlators with Double Massive Exchanges: Bootstrap
Equation and Phenomenology | 66 pages, 13 figures | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Using the recently developed cosmological bootstrap method, we compute the
exact analytical solution for the seed integral appearing in cosmological
correlators with double massive scalar exchanges. The result is explicit, valid
in any kinematic configuration, and free from spurious divergences. It is
applicable to any number of fields' species with any masses. With an
appropriate choice of variables, the results contain only single-layer
summations. We also propose simple approximate formulas valid in different
limits, enabling direct and instantaneous evaluation.Supported by exact
numerical results using CosmoFlow, we explore the phenomenology of double
massive exchange diagrams. Contrary to single-exchange diagrams with ubiquitous
Lorentz-covariant interactions, the size of the cubic coupling constant can be
large while respecting perturbativity bounds. Because of this property, the
primordial bispectrum from double-exchange diagrams can be as large as,
coincidentally, current observational constraints. In addition to being sizable
on equilateral configurations, we show that the primordial bispectrum exhibits
a large cosmological collider signal in the squeezed limit, making the double
massive exchanges interesting channels for the detection of massive primordial
fields. We propose to decisively disentangle double-exchange channels from
single-exchange ones with cosmological observations by exploiting the phase
information of the cosmological collider signal, the inflationary flavor
oscillations from multiple fields' species exchanges and the double soft limit
in the primordial trispectrum.
| [
{
"created": "Mon, 15 Apr 2024 08:13:55 GMT",
"version": "v1"
}
] | 2024-04-16 | [
[
"Aoki",
"Shuntaro",
""
],
[
"Pinol",
"Lucas",
""
],
[
"Sano",
"Fumiya",
""
],
[
"Yamaguchi",
"Masahide",
""
],
[
"Zhu",
"Yuhang",
""
]
] | Using the recently developed cosmological bootstrap method, we compute the exact analytical solution for the seed integral appearing in cosmological correlators with double massive scalar exchanges. The result is explicit, valid in any kinematic configuration, and free from spurious divergences. It is applicable to any number of fields' species with any masses. With an appropriate choice of variables, the results contain only single-layer summations. We also propose simple approximate formulas valid in different limits, enabling direct and instantaneous evaluation.Supported by exact numerical results using CosmoFlow, we explore the phenomenology of double massive exchange diagrams. Contrary to single-exchange diagrams with ubiquitous Lorentz-covariant interactions, the size of the cubic coupling constant can be large while respecting perturbativity bounds. Because of this property, the primordial bispectrum from double-exchange diagrams can be as large as, coincidentally, current observational constraints. In addition to being sizable on equilateral configurations, we show that the primordial bispectrum exhibits a large cosmological collider signal in the squeezed limit, making the double massive exchanges interesting channels for the detection of massive primordial fields. We propose to decisively disentangle double-exchange channels from single-exchange ones with cosmological observations by exploiting the phase information of the cosmological collider signal, the inflationary flavor oscillations from multiple fields' species exchanges and the double soft limit in the primordial trispectrum. |
hep-th/0206155 | Nemanja Kaloper | Roberto Emparan, Alessandro Fabbri, Nemanja Kaloper | Quantum Black Holes as Holograms in AdS Braneworlds | 28 pages, JHEP latex, 1 .eps figure, v2: references and comments
added, v3: comments and acknowledgements added to match the published paper | JHEP 0208:043,2002 | 10.1088/1126-6708/2002/08/043 | SU-ITP-02/23, CERN-TH/2002-131 | hep-th astro-ph gr-qc hep-ph | null | We propose a new approach for using the AdS/CFT correspondence to study
quantum black hole physics. The black holes on a brane in an AdS$_{D+1}$
braneworld that solve the classical bulk equations are interpreted as duals of
{\it quantum-corrected} $D$-dimensional black holes, rather than classical
ones, of a conformal field theory coupled to gravity. We check this explicitly
in D=3 and D=4. In D=3 we reinterpret the existing exact solutions on a flat
membrane as states of the dual 2+1 CFT. We show that states with a sufficiently
large mass really are 2+1 black holes where the quantum corrections dress the
classical conical singularity with a horizon and censor it from the outside. On
a negatively curved membrane, we reinterpret the classical bulk solutions as
quantum-corrected BTZ black holes. In D=4 we argue that the bulk solution for
the brane black hole should include a radiation component in order to describe
a quantum-corrected black hole in the 3+1 dual. Hawking radiation of the
conformal field is then dual to classical gravitational bremsstrahlung in the
AdS$_5$ bulk.
| [
{
"created": "Tue, 18 Jun 2002 08:39:57 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 2002 13:41:39 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Sep 2002 08:46:35 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Emparan",
"Roberto",
""
],
[
"Fabbri",
"Alessandro",
""
],
[
"Kaloper",
"Nemanja",
""
]
] | We propose a new approach for using the AdS/CFT correspondence to study quantum black hole physics. The black holes on a brane in an AdS$_{D+1}$ braneworld that solve the classical bulk equations are interpreted as duals of {\it quantum-corrected} $D$-dimensional black holes, rather than classical ones, of a conformal field theory coupled to gravity. We check this explicitly in D=3 and D=4. In D=3 we reinterpret the existing exact solutions on a flat membrane as states of the dual 2+1 CFT. We show that states with a sufficiently large mass really are 2+1 black holes where the quantum corrections dress the classical conical singularity with a horizon and censor it from the outside. On a negatively curved membrane, we reinterpret the classical bulk solutions as quantum-corrected BTZ black holes. In D=4 we argue that the bulk solution for the brane black hole should include a radiation component in order to describe a quantum-corrected black hole in the 3+1 dual. Hawking radiation of the conformal field is then dual to classical gravitational bremsstrahlung in the AdS$_5$ bulk. |
2103.12075 | Fabio Bacchini | Fabio Bacchini, Daniel R. Mayerson, Bart Ripperda, Jordy Davelaar,
H\'ector Olivares, Thomas Hertog, Bert Vercnocke | Fuzzball Shadows: Emergent Horizons from Microstructure | 6 pages, 3 figures | null | 10.1103/PhysRevLett.127.171601 | null | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the physical properties of four-dimensional, string-theoretical,
horizonless "fuzzball" geometries by imaging their shadows. Their
microstructure traps light rays straying near the would-be horizon on
long-lived, highly redshifted chaotic orbits. In fuzzballs sufficiently near
the scaling limit this creates a shadow much like that of a black hole, while
avoiding the paradoxes associated with an event horizon. Observations of the
shadow size and residual glow can potentially discriminate between fuzzballs
away from the scaling limit and alternative models of black compact objects.
| [
{
"created": "Mon, 22 Mar 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2021 20:39:06 GMT",
"version": "v2"
}
] | 2021-10-22 | [
[
"Bacchini",
"Fabio",
""
],
[
"Mayerson",
"Daniel R.",
""
],
[
"Ripperda",
"Bart",
""
],
[
"Davelaar",
"Jordy",
""
],
[
"Olivares",
"Héctor",
""
],
[
"Hertog",
"Thomas",
""
],
[
"Vercnocke",
"Bert",
""
]
] | We study the physical properties of four-dimensional, string-theoretical, horizonless "fuzzball" geometries by imaging their shadows. Their microstructure traps light rays straying near the would-be horizon on long-lived, highly redshifted chaotic orbits. In fuzzballs sufficiently near the scaling limit this creates a shadow much like that of a black hole, while avoiding the paradoxes associated with an event horizon. Observations of the shadow size and residual glow can potentially discriminate between fuzzballs away from the scaling limit and alternative models of black compact objects. |
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