pinecone/core-2020-05-10-deduplication huggingface dataset:
Type IIB supergravity on squashed Sasaki-Einstein manifolds

We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity
on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction
ansatz keeps all and only the supergravity modes dual to the universal gauge
sector of the associated conformal theories, via the gauge/gravity
correspondence. The reduced 5-dimensional model displays remarkable features:
it includes both zero-modes as well as massive iterations of the Kaluza-Klein
operators on the internal manifold; it contains tensor fields dual to vectors
charged under a non-abelian gauge group; it has a scalar potential with a
non-supersymmetric AdS vacuum in addition to the supersymmetric one.Comment: 36 pages, 1 figure; v2: presentation slightly improved, typos
  corrected, a reference added; v3: minor change
Energy's and amplitudes' positivity

In QFT, the null energy condition (NEC) for a classical field configuration
is usually associated with that configuration's stability against small
perturbations, and with the sub-luminality of these. Here, we exhibit an
effective field theory that allows for stable NEC-violating solutions with
exactly luminal excitations only. The model is the recently introduced
`galileon', or more precisely its conformally invariant version. We show that
the theory's low-energy S-matrix obeys standard positivity as implied by
dispersion relations. However we also show that if the relevant NEC-violating
solution is inside the effective theory, then other (generic) solutions allow
for superluminal signal propagation. While the usual association between
sub-luminality and positivity is not obeyed by our example, that between NEC
and sub-luminality is, albeit in a less direct way than usual.Comment: 21 pages. v2: Typos in eq. (2.41) and (2.41) corrected; discussion of
  section 2.3 modified accordingly. Other sections and conclusions unchanged.
  Matches the Erratum published in JHE
General Messenger Gauge Mediation

We discuss theories of gauge mediation in which the hidden sector consists of
two subsectors which are weakly coupled to each other. One sector is made up of
messengers and the other breaks supersymmetry. Each sector by itself may be
strongly coupled. We provide a unifying framework for such theories and discuss
their predictions in different settings. We show how this framework
incorporates all known models of messengers. In the case of weakly-coupled
messengers interacting with spurions through the superpotential, we prove that
the sfermion mass-squared is positive, and furthermore, that there is a lower
bound on the ratio of the sfermion mass to the gaugino mass.Comment: 37 pages; minor change
Two Charge System Revisited: Small Black Holes or Horizonless Solutions?

A two charge system in string theory preserving eight supercharges can be
described as a small black hole that has zero entropy in the supergravity
approximation, but classical higher derivative corrections produce a finite
entropy in accordance with the prediction of microstate counting. On the other
hand for the same system one can construct smooth horizonless classical
solutions whose geometric quantization describes the individual microstates
which contribute to the entropy. In this note we point out that there is no
duality frame in which the system admits both these classical descriptions.
Thus in a given duality frame horizonless classical solutions and small black
holes are not alternate descriptions of the same system; their contributions
must be added to get a duality invariant result for the macroscopic degeneracy.
We discuss the significance of this observation for the macroscopic computation
of the degeneracy of BPS states for a general system. We also discuss the
relationship between the degeneracy and the index computation and address the
puzzle regarding absence of small black holes in toroidally compactified type
II string theory.Comment: LaTeX file, 28 page
Perturbation Theory From Automorphic Forms

Using our previous construction of Eisenstein-like automorphic forms we
derive formulae for the perturbative and non-perturbative parts for any group
and representation. The result is written in terms of the weights of the
representation and the derivation is largely group theoretical. Specialising to
the E_{n+1} groups relevant to type II string theory and the representation
associated with node n+1 of the E_{n+1} Dynkin diagram we explicitly find the
perturbative part in terms of String Theory variables, such as the string
coupling g_d and volume V_n. For dimensions seven and higher we find that the
perturbation theory involves only two terms. In six dimensions we construct the
SO(5,5) automorphic form using the vector representation. Although these
automorphic forms are generally compatible with String Theory, the one relevant
to R^4 involves terms with g_d^{-6} and so is problematic. We then study a
constrained SO(5,5) automorphic form, obtained by summing over null vectors,
and compute its perturbative part. We find that it is consistent with String
Theory and makes precise predictions for the perturbative results. We also
study the unconstrained automorphic forms for E_6 in the 27 representation and
E_7 in the 133 representation, giving their perturbative part and commenting on
their role in String Theory.Comment: Typos fixed and other minor corrections. A 'note added' include
A Spin Chain for the Symmetric Product CFT_2

We consider "gauge invariant" operators in Sym^N T^4, the symmetric product
orbifold of N copies of the 2d supersymmetric sigma model with T^4 target. We
discuss a spin chain representation for single-cycle operators and study their
two point functions at large N. We perform systematic calculations at the
orbifold point ("tree level"), where non-trivial mixing is already present, and
some sample calculations to first order in the blow-up mode of the orbifold
("one loop").Comment: 52 pages, 10 figure
CP violation Beyond the MSSM: Baryogenesis and Electric Dipole Moments

We study electroweak baryogenesis and electric dipole moments in the presence
of the two leading-order, non-renormalizable operators in the Higgs sector of
the MSSM. Significant qualitative and quantitative differences from MSSM
baryogenesis arise due to the presence of new CP-violating phases and to the
relaxation of constraints on the supersymmetric spectrum (in particular, both
stops can be light). We find: (1) spontaneous baryogenesis, driven by a change
in the phase of the Higgs vevs across the bubble wall, becomes possible; (2)
the top and stop CP-violating sources can become effective; (3) baryogenesis is
viable in larger parts of parameter space, alleviating the well-known
fine-tuning associated with MSSM baryogenesis. Nevertheless, electric dipole
moments should be measured if experimental sensitivities are improved by about
one order of magnitude.Comment: 33 pages, 6 figure
Prompt Decays of General Neutralino NLSPs at the Tevatron

Recent theoretical developments have shown that gauge mediation has a much
larger parameter space of possible spectra and mixings than previously
considered. Motivated by this, we explore the collider phenomenology of gauge
mediation models where a general neutralino is the lightest MSSM superpartner
(the NLSP), focusing on the potential reach from existing and future Tevatron
searches. Promptly decaying general neutralino NLSPs can give rise to final
states involving missing energy plus photons, Zs, Ws and/or Higgses. We survey
the final states and determine those where the Tevatron should have the most
sensitivity. We then estimate the reach of existing Tevatron searches in these
final states and discuss new searches (or optimizations of existing ones) that
should improve the reach. Finally we comment on the potential for discovery at
the LHC.Comment: 41 pages, minor changes, added refs and discussion of previous
  literatur
Infrared Stability of N=2 Chern-Simons Matter Theories

According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons
matter theories should have a stable fixed point in the infrared. In order to
support this prediction we study RG flows of two-level Chern-Simons matter
theories with/without flavors induced by the most general marginal
superpotential compatible with N=2 supersymmetry. At two loops we determine the
complete spectrum of fixed points and study their IR stability. Our analysis
covers a large class of models including perturbations of the ABJM/ABJ theories
with and without flavors, N=2,3 theories with different CS levels corresponding
to turning on a Romans mass and beta-deformations. In all cases we find curves
(or surfaces) of fixed points which are globally IR stable but locally unstable
in the following sense: The system has only one direction of stability which in
the ABJM case coincides with the maximal global symmetry preserving
perturbation, whereas along any other direction it flows to a different fixed
point on the surface. The question of conformal invariance vs. finiteness is
also addressed: While in general vanishing beta-functions imply two-loop
finiteness, we find a particular set of flavored theories where this is no
longer true.Comment: 1+30 pages, 8 figures; v2: references adde
Stringy instanton corrections to N=2 gauge couplings

We discuss a string model where a conformal four-dimensional N=2 gauge theory
receives corrections to its gauge kinetic functions from "stringy" instantons.
These contributions are explicitly evaluated by exploiting the localization
properties of the integral over the stringy instanton moduli space. The model
we consider corresponds to a setup with D7/D3-branes in type I' theory
compactified on T4/Z2 x T2, and possesses a perturbatively computable heterotic
dual. In the heteoric side the corrections to the quadratic gauge couplings are
provided by a 1-loop threshold computation and, under the duality map, match
precisely the first few stringy instanton effects in the type I' setup. This
agreement represents a very non-trivial test of our approach to the exotic
instanton calculus.Comment: 63 pages, 5 figures. V2: final version with minor corrections
  published on JHEP05(2010)10
Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories

We argue that a large class of N=2 Chern-Simons-matter theories in three
dimensions have a continuous family of exact IR fixed points described by
suitable quartic superpotentials, based on holomorphy. The entire family exists
in the perturbative regime. A nontrivial check is performed by computing the
4-loop beta function of the quartic couplings, in the 't Hooft limit, with a
large number of flavors. We find that the 4-loop beta function can only deform
the family of 2-loop fixed points, and does not change the dimension of this
family. We further present an explicit computation of a perturbative correction
to the Zamolodchikov metric on this space of three-dimensional superconformal
field theories.Comment: 27 pages, 108 figure
A supersymmetric model for graphene

In this work, we focus on the fermionic structure of the low-energy
excitations of graphene (a monolayer of carbon atoms) to propose a new
supersymmetric field-theoretic model for this physical system. In the current
literature, other proposals for describing graphene physics have been
contemplated at the level of supersymmetric quantum mechanics. Also, by
observing the inhomogeneities between neighbor carbon atoms, Jackiw {\it et
al.} have set up an interesting chiral Abelian gauge theory. We show in this
paper that our formulation encompasses models discussed previously as sectors
of an actually richer (supersymmetric) planar gauge model. Possible
interpretations for the fields involved in the present graphene model are
proposed and the question of supersymmetry breaking is discussed.Comment: 12 pages. Preprint format. Final version published in JHEP 1105
  (2011) 00
Analytical Computation of Critical Exponents in Several Holographic
  Superconductors

It is very interesting that all holographic superconductors, such as s-wave,
p-wave and d-wave holographic superconductors, show the universal mean-field
critical exponent 1/2 at the critical temperature, just like Gindzburg-Landau
(G-L) theory for second order phase transitions. Now it is believed that the
universal critical exponents appear because the dual gravity theory is classic
in the large $N$ limit. However, even in the large $N$ limit there is an
exception called "non-mean-field theory": an extension of the s-wave model with
a cubic term of the charged scalar field shows a different critical exponent 1.
In this paper, we try to use analytical methods to obtain the critical
exponents for these models to see how the properties of the gravity action
decides the appearance of the mean-field behaviors. It will be seen that just
like the G-L theory, it is the fundamental symmetries rather than the detailed
parameters of the bulk theory that lead to the universal properties of the
holographic superconducting phase transition. The feasibility of the called
"non-mean-field theory" is also discussed.Comment: 20 pages, accepted by JHEP, some interpretation adde
Holographic entanglement entropy: near horizon geometry and disconnected
  regions

We study the finite term of the holographic entanglement entropy for the
charged black hole in AdS(d+2) and other examples of black holes when the
spatial region in the boundary theory is given by one or two parallel strips.
For one large strip it scales like the width of the strip. The divergent term
of its expansion as the turning point of the minimal surface approaches the
horizon is determined by the near horizon geometry. Examples involving a
Lifshitz scaling are also considered. For two equal strips in the boundary we
study the transition of the mutual information given by the holographic
prescription. In the case of the charged black hole, when the width of the
strips becomes large this transition provides a characteristic finite distance
depending on the temperature.Comment: 29 pages, 7 figure
Footprints of SUSY GUTs in Flavour Physics

Supersymmetric (SUSY) Grand Unified theories (GUTs) generally predict FCNC
and CP violating processes to occur both in the leptonic and hadronic sectors.
Assuming an underlying SU(5) group plus right-handed neutrinos (RN), we perform
an extensive study of FCNC and CP violation, analyzing the correlations between
leptonic and hadronic processes like mu-> e gamma and K-Kbar mixing, tau->mu
gamma and b -> s transitions such as B_d -> phi K_s and Bs-Bsbar mixing.
Moreover, we examine the impact of the considered scenario on the UT analyses,
monitoring the low energy consequences implied by possible solutions to the
various tensions in the present UT analyses. We compare the phenomenological
implications of this NP scenario with the ones of supersymmetric flavour models
finding a few striking differences that could allow to distinguish these
different NP models.Comment: 15 pages, 4 figure
Holographic Approach to Regge Trajectory and Rotating D5 brane

We study the Regge trajectories of holographic mesons and baryons by
considering rotating strings and D5 brane, which is introduced as the baryon
vertex. Our model is based on the type IIB superstring theory with the
background of asymptotic $AdS_5\times S^5$. This background is dual to a
confining supersymmetric Yang-Mills theory (SYM) with gauge condensate,
$<F^2>$, which determines the tension of the linear potential between the quark
and anti-quark. Then the slope of the meson trajectory ($\alpha'_{M}$) is given
by this condensate as $\alpha'_{M}=1/\sqrt{\pi <F^2>}$ at large spin $J$. This
relation is compatible with the other theoretical results and experiments. For
the baryon, we show the importance of spinning baryon vertex to obtain a Regge
slope compatible with the one of $N$ and $\Delta$ series. In both cases, mesons
and baryons, the trajectories are shifted to large mass side with the same
slope for increasing current quark mass.Comment: 28 pages, 7 figure
Integration Over The u-Plane In Donaldson Theory With Surface Operators

We generalize the analysis by Moore and Witten in [arXiv:hep-th/9709193], and
consider integration over the u-plane in Donaldson theory with surface
operators on a smooth four-manifold X. Several novel aspects will be developed
in the process; like a physical interpretation of the "ramified" Donaldson and
Seiberg-Witten invariants, and the concept of curved surface operators which
are necessarily topological at the outset. Elegant physical proofs -- rooted in
R-anomaly cancellations and modular invariance over the u-plane -- of various
seminal results in four-dimensional geometric topology obtained by Kronheimer
and Mrowka [1,2] -- such as a universal formula relating the "ramified" and
ordinary Donaldson invariants, and a generalization of the celebrated Thom
conjecture -- will be furnished. Wall-crossing and blow-up formulas of these
"ramified" invariants which have not been computed in the mathematical
literature before, as well as a generalization and a Seiberg-Witten analog of
the universal formula as implied by an electric-magnetic duality of
trivially-embedded surface operators in X, will also be presented, among other
things.Comment: 114 pages. Published version; typos corrected. See also sequel
  arXiv:1006.331
Towards holographic walking from N=4 super Yang-Mills

We propose that a holographic description of `walking' behaviour, namely
quasi-conformal dynamics relevant for technicolor models, can be obtained from
relevant deformations of N=4 super Yang-Mills. We consider deformations which
drive the theory close to the N=1 Leigh-Strassler fixed point, eventually
deviating from it in the deep IR. We use the Pilch-Warner dual supergravity
description of the flow between the N=4 and the N=1 fixed points to focus on
observables that only require knowledge of the walking region. These include
large anomalous dimensions of quark bilinear operators, which we study via
probe D7-branes. We also make a first attempt at describing the theory beyond
the walking region by introducing an infrared cut-off, in the spirit of
hard-wall models. In this case we find a light, dilaton-like scalar state, but
whether this mode persists in the exact theory remains an open question.Comment: Latex, 53 page
Uber-naturalness: unexpectedly light scalars from supersymmetric extra
  dimensions

Standard lore asserts that quantum effects generically forbid the occurrence
of light (non-pseudo-Goldstone) scalars having masses smaller than the Kaluza
Klein scale, M_KK, in extra-dimensional models, or the gravitino mass, M_3/2,
in supersymmetric situations. We argue that a hidden assumption underlies this
lore: that the scale of gravitational physics, M_g, (e.g. the string scale,
M_s, in string theory) is of order the Planck mass, M_p = 10^18 GeV. We explore
sensitivity to this assumption using the spectrum of masses arising within the
specific framework of large-volume string compactifications, for which the
ultraviolet completion at the gravity scale is explicitly known to be a Type
IIB string theory. In such models the separation between M_g and M_p is
parameterized by the (large) size of the extra dimensional volume, V (in string
units), according to M_p: M_g: M_KK: M_3/2 = 1: V^{-1/2}: V^{-2/3}: V^{-1}. We
find that the generic size of quantum corrections to masses is of the order of
M_KK M_3/2 / M_p ~ M_p / V^{5/3}. The mass of the lighest modulus
(corresponding to the extra-dimensional volume) which at the classical level is
M_V ~ M_p/V^{3/2} << M_3/2 << M_KK is thus stable against quantum corrections.
This is possible because the couplings of this modulus to other forms of matter
in the low-energy theory are generically weaker than gravitational strength
(something that is also usually thought not to occur according to standard
lore). We discuss some phenomenological and cosmological implications of this
observation.Comment: 31 page
The Yangian of sl(n|m) and the universal R-matrix

In this paper we study Yangians of sl(n|m) superalgebras. We derive the
universal R-matrix and evaluate it on the fundamental representation obtaining
the standard Yang R-matrix with unitary dressing factors. For m=0, we directly
recover up to a CDD factor the well-known S-matrices for relativistic
integrable models with su(N) symmetry. Hence, the universal R-matrix found
provides an abstract plug-in formula, which leads to results obeying
fundamental physical constraints: crossing symmetry, unitrarity and the
Yang-Baxter equation. This implies that the Yangian double unifies all desired
symmetries into one algebraic structure. In particular, our analysis is valid
in the case of sl(n|n), where one has to extend the algebra by an additional
generator leading to the algebra gl(n|n). We find two-parameter families of
scalar factors in this case and provide a detailed study for gl(1|1).Comment: 24 pages, 2 figure
Constructing Lifshitz solutions from AdS

Under general assumptions, we show that a gravitational theory in d+1
dimensions admitting an AdS solution can be reduced to a d-dimensional theory
containing a Lifshitz solution with dynamical exponent z=2. Working in a d=4,
N=2 supergravity setup, we prove that if the AdS background is N=2
supersymmetric, then the Lifshitz geometry preserves 1/4 of the supercharges,
and we construct the corresponding Killing spinors. We illustrate these results
in examples from supersymmetric consistent truncations of type IIB
supergravity, enhancing the class of known 4-dimensional Lifshitz solutions of
string theory. As a byproduct, we find a new AdS4 x S1 x T(1,1) solution of
type IIB.Comment: 29 pages, no figures; v2 minor corrections, a reference adde
SUSY Gauge Theories on Squashed Three-Spheres

We study Euclidean 3D N=2 supersymmetric gauge theories on squashed
three-spheres preserving isometries SU(2) x U(1) or U(1) x U(1). We show that,
when a suitable background U(1) gauge field is turned on, these squashed
spheres support charged Killing spinors and therefore N=2 supersymmetric gauge
theories. We present the Lagrangian and supersymmetry rules for general gauge
theories. The partition functions are computed using localization principle,
and are expressed as integrals over Coulomb branch. For the squashed sphere
with U(1) x U(1) isometry, its measure and integrand are identified with the
building blocks of structure constants in Liouville or Toda conformal field
theories with b \neq 1.Comment: 1+21 pages, no figur
Supersymmetry enhancement by monopole operators

We describe a method which allows one to study hidden symmetries in a large
class of strongly coupled supersymmetric gauge theories in three dimensions. We
apply this method to the ABJM theory and to the infrared limit of N=4 SQCD with
adjoint and fundamental matter. We show that the U(N) ABJM model with
Chern-Simons level k=1 or k=2 has hidden N=8 supersymmetry. Hidden
supersymmetry is also shown to occur in N=4 d=3 SQCD with one fundamental and
one adjoint hypermultiplet. The latter theory, as well as the U(N) ABJM theory
at k=1, are shown to have a decoupled free sector. This provides evidence that
both models are dual to the infrared limit of N=8 U(N) super-Yang-Mills theory.Comment: 29 pages, late
The SU(2) Black Hole entropy revisited

We study the state-counting problem that arises in the SU(2) black hole
entropy calculation in loop quantum gravity. More precisely, we compute the
leading term and the logarithmic correction of both the spherically symmetric
and the distorted SU(2) black holes. Contrary to what has been done in previous
works, we have to take into account "quantum corrections" in our framework in
the sense that the level k of the Chern-Simons theory which describes the black
hole is finite and not sent to infinity. Therefore, the new results presented
here allow for the computation of the entropy in models where the quantum group
corrections are important.Comment: 31 pages, 8 figure