pinecone/core-2020-05-10-deduplication huggingface dataset:
Dynamic SU(2) Structure from Seven-branes

We obtain a family of supersymmetric solutions of type IIB supergravity with
dynamic SU(2) structure, which describe the local geometry near a stack of four
D7-branes and one O7-plane wrapping a rigid four-cycle. The deformation to a
generalized complex geometry is interpreted as a consequence of nonperturbative
effects in the seven-brane gauge theory. We formulate the problem for
seven-branes wrapping the base of an appropriate del Pezzo cone, and in the
near-stack limit in which the four-cycle is flat, we obtain an exact solution
in closed form. Our solutions serve to characterize the local geometry of
nonperturbatively-stabilized flux compactifications.Comment: 49 pages, 2 figures; v2: minor corrections, references adde
Lopsided Gauge Mediation

It has been recently pointed out that the unavoidable tuning among
supersymmetric parameters required to raise the Higgs boson mass beyond its
experimental limit opens up new avenues for dealing with the so called
$\mu$-$B_\mu$ problem of gauge mediation. In fact, it allows for accommodating,
with no further parameter tuning, large values of $B_\mu$ and of the other
Higgs-sector soft masses, as predicted in models where both $\mu$ and $B_\mu$
are generated at one-loop order. This class of models, called Lopsided Gauge
Mediation, offers an interesting alternative to conventional gauge mediation
and is characterized by a strikingly different phenomenology, with light
higgsinos, very large Higgs pseudoscalar mass, and moderately light sleptons.
We discuss general parametric relations involving the fine-tuning of the model
and various observables such as the chargino mass and the value of $\tan\beta$.
We build an explicit model and we study the constraints coming from LEP and
Tevatron. We show that in spite of new interactions between the Higgs and the
messenger superfields, the theory can remain perturbative up to very large
scales, thus retaining gauge coupling unification.Comment: 28 pages, 2 appendices, 10 figure
Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure
  Manifolds

We investigate the dynamics of space-time filling five-branes wrapped on
curves in heterotic and orientifold Calabi-Yau compactifications. We first
study the leading N=1 scalar potential on the infinite deformation space of the
brane-curve around a supersymmetric configuration. The higher order potential
is also determined by a brane superpotential which we compute for a subset of
light deformations. We argue that these deformations map to new complex
structure deformations of a non-Calabi-Yau manifold which is obtained by
blowing up the brane-curve into a four-cycle and by replacing the brane by
background fluxes. This translates the original brane-bulk system into a
unifying geometrical formulation. Using this blow-up geometry we compute the
complete set of open-closed Picard-Fuchs differential equations and identify
the brane superpotential at special points in the field space for five-branes
in toric Calabi-Yau hypersurfaces. This has an interpretation in open mirror
symmetry and enables us to list compact disk instanton invariants. As a first
step towards promoting the blow-up geometry to a supersymmetric heterotic
background we propose a non-Kaehler SU(3) structure and an identification of
the three-form flux.Comment: 95 pages, 4 figures; v2: Minor corrections, references update
Wilson loop remainder function for null polygons in the limit of
  self-crossing

The remainder function of Wilson loops for null polygons becomes divergent if
two vertices approach each other. We apply RG techniques to the limiting
configuration of a contour with self-intersection. As a result for the two loop
remainder we find a quadratic divergence in the logarithm of the distance
between the two approaching vertices. The divergence is multiplied by a factor,
which is given by a pure number plus the product of two logarithms of
cross-ratios characterising the conformal geometry of the self-crossing.Comment: 12 pages, 2 figures, typos corrected, references added, note adde
Black funnels and droplets in thermal equilibrium

It has recently been proposed that the strong coupling behaviour of quantum
field theories on a non-dynamical black hole background can be described, in
the context of the AdS/CFT correspondence, by a competition between two gravity
duals: a black funnel and a black droplet. We present here thermal equilibrium
solutions which represent such spacetimes, providing the first example where
the thermal competition between the gravity duals can be studied. The solutions
correspond to a special family of charged AdS C-metrics. We compute the
corresponding Euclidean actions and find that the black funnel always dominates
the canonical ensemble in our example, meaning that the field theory does not
undergo a phase transition.Comment: 37 pages, 12 figure
Conformal weights in the Kerr/CFT correspondence

It has been conjectured that a near-extreme Kerr black hole is described by a
2d CFT. Previous work has shown that CFT operators dual to axisymmetric
gravitational perturbations have integer conformal weights. In this paper, we
study the analogous problem in 5d. We consider the most general near-extreme
vacuum black hole with two rotational symmetries. This includes Myers-Perry
black holes, black rings and Kaluza-Klein black holes. We find that operators
dual to gravitational (or electromagnetic or massless scalar field)
perturbations preserving both rotational symmetries have integer conformal
weights, the same for all black holes considered.Comment: 19 page
Holographic superconductors in a model of non-relativistic gravity

We have studied holographic superconductors with spherical symmetry in the
Ho$\check{\textbf{r}}$ava-Lifshitz gravity by using a semi analytical method,
and also we have calculated the critical temperature and shown when the
condensation will appear in a similar pattern as in the Einstein-Gauss- Bonnet
gravity. We have computed the dependency of the conductivity as a function of
frequency in this new non-relativistic model of quantum gravity.Comment: 20pages,This version accepted for publication in JHE
Magnetic Phase Diagram of Dense Holographic Multiquarks in the
  Quark-gluon Plasma

We study phase diagram of the dense holographic gauge matter in the
Sakai-Sugimoto model in the presence of the magnetic field above the
deconfinement temperature. Even above the deconfinement, quarks could form
colour bound states through the remaining strong interaction if the density is
large. We demonstrate that in the presence of the magnetic field for a
sufficiently large baryon density, the multiquark-pion gradient
(MQ-$\mathcal{5}\phi$) phase is more thermodynamically preferred than the
chiral-symmetric quark-gluon plasma. The phase diagrams between the holographic
multiquark and the chiral-symmetric quark-gluon plasma phase are obtained at
finite temperature and magnetic field. In the mixed MQ-$\mathcal{5}\phi$ phase,
the pion gradient induced by the external magnetic field is found to be a
linear response for small and moderate field strengths. Its population ratio
decreases as the density is raised and thus the multiquarks dominate the phase.
Temperature dependence of the baryon chemical potential, the free energy and
the linear pion gradient response of the multiquark phase are well approximated
by a simple analytic function $\sqrt{1-\frac{T^{6}}{T^{6}_{0}}}$ inherited from
the metric of the holographic background.Comment: 20 pages, 7 figure
Constraining New Physics with a Positive or Negative Signal of
  Neutrino-less Double Beta Decay

We investigate numerically how accurately one could constrain the strengths
of different short-range contributions to neutrino-less double beta decay in
effective field theory. Depending on the outcome of near-future experiments
yielding information on the neutrino masses, the corresponding bounds or
estimates can be stronger or weaker. A particularly interesting case, resulting
in strong bounds, would be a positive signal of neutrino-less double beta decay
that is consistent with complementary information from neutrino oscillation
experiments, kinematical determinations of the neutrino mass, and measurements
of the sum of light neutrino masses from cosmological observations. The keys to
more robust bounds are improvements of the knowledge of the nuclear physics
involved and a better experimental accuracy.Comment: 23 pages, 3 figures. Minor changes. Matches version published in JHE
Eluding SUSY at every genus on stable closed string vacua

In closed string vacua, ergodicity of unipotent flows provide a key for
relating vacuum stability to the UV behavior of spectra and interactions.
Infrared finiteness at all genera in perturbation theory can be rephrased in
terms of cancelations involving only tree-level closed strings scattering
amplitudes. This provides quantitative results on the allowed deviations from
supersymmetry on perturbative stable vacua. From a mathematical perspective,
diagrammatic relations involving closed string amplitudes suggest a relevance
of unipotent flows dynamics for the Schottky problem and for the construction
of the superstring measure.Comment: v2, 17 pages, 8 figures, typos corrected, new figure added with 3
  modular images of long horocycles,(obtained with Mathematica
Lovelock theories, holography and the fate of the viscosity bound

We consider Lovelock theories of gravity in the context of AdS/CFT. We show
that, for these theories, causality violation on a black hole background can
occur well in the interior of the geometry, thus posing more stringent
constraints than were previously found in the literature. Also, we find that
instabilities of the geometry can appear for certain parameter values at any
point in the geometry, as well in the bulk as close to the horizon. These new
sources of causality violation and instability should be related to CFT
features that do not depend on the UV behavior. They solve a puzzle found
previously concerning unphysical negative values for the shear viscosity that
are not ruled out solely by causality restrictions. We find that, contrary to
previous expectations, causality violation is not always related to positivity
of energy. Furthermore, we compute the bound for the shear viscosity to entropy
density ratio of supersymmetric conformal field theories from d=4 till d=10 -
i.e., up to quartic Lovelock theory -, and find that it behaves smoothly as a
function of d. We propose an approximate formula that nicely fits these values
and has a nice asymptotic behavior when d goes to infinity for any Lovelock
gravity. We discuss in some detail the latter limit. We finally argue that it
is possible to obtain increasingly lower values for the shear viscosity to
entropy density ratio by the inclusion of more Lovelock terms.Comment: 42 pages, 17 figures, JHEP3.cls. v2: reference adde
ABJM Dibaryon Spectroscopy

We extend the proposal for a detailed map between wrapped D-branes in Anti-de
Sitter space and baryon-like operators in the associated dual conformal field
theory provided in hep-th/0202150 to the recently formulated AdS_4 \times
CP^3/ABJM correspondence. In this example, the role of the dibaryon operator of
the 3-dimensional CFT is played by a D4-brane wrapping a CP^2 \subset CP^3.
This topologically stable D-brane in the AdS_4 \times CP^3 is nothing but
one-half of the maximal giant graviton on CP^3.Comment: 26 page
The concept of quasi-integrability: a concrete example

We use the deformed sine-Gordon models recently presented by Bazeia et al to
discuss possible definitions of quasi-integrability. We present one such
definition and use it to calculate an infinite number of quasi-conserved
quantities through a modification of the usual techniques of integrable field
theories. Performing an expansion around the sine-Gordon theory we are able to
evaluate the charges and the anomalies of their conservation laws in a
perturbative power series in a small parameter which describes the "closeness"
to the integrable sine-Gordon model. Our results indicate that in the case of
the two-soliton scattering the charges are conserved asymptotically, i.e. their
values are the same in the distant past and future, when the solitons are well
separated. We back up our results with numerical simulations which also
demonstrate the existence of long lived breather-like and wobble-like states in
these models.Comment: 40 pages, 47 ps figure
RG Invariants, Unification and the Role of the Messenger Scale in
  General Gauge Mediation

In General Gauge Mediation (GGM) all MSSM soft sfermion masses at a high
scale M_mess can be parameterised by three a priori independent scales
\Lambda_{S;1,2,3}(M_mess). (Similarly the gaugino masses are given by
\Lambda_{G;1,2,3}(M_mess).) For the first two generations this parameterisation
in terms of a set of running \Lambda_{S;1,2,3}(\mu) -- conveniently obtained
from appropriate RG invariants -- continues to hold all the way down to the
electroweak scale. This is not the case for the third generation because of the
large Yukawa couplings. Together these two observations imply that the
messenger scale is an additional parameter of GGM models. In models where all
messengers are in complete GUT multiplets (without significant mass
splittings), all \Lambda_{S,r} are equal at M_mess. Starting from the
observable mass spectrum at the electroweak scale we present a strategy to
determine if this unification occurs and at which scale. This approach uses
data accessible at colliders to gain insight into high scale unification
physics beyond the unification of gauge couplings.Comment: 17 pages, 6 figures. v2: updated Fig.1, citations adde
Calculating the partition function of N=2 Gauge theories on $S^3$ and
  AdS/CFT correspondence

We test the AdS/CFT correspondence by computing the partition function of
some $\mathcal{N}=2$ quiver Chern-Simons-matter theories on three-sphere. The
M-theory backgrounds are of the Freund-Rubin type with the seven-dimensional
internal space given as Sasaki-Einstein manifolds $Q^{1,1,1}$ or $V^{5,2}$.
Localization technique reduces the exact path integral to a matrix model, and
we study the large-N behavior of the partition function. For simplicity we
consider only non-chiral models which have a real-valued partition function.
The result is in full agreement with the prediction of the gravity duals, i.e.
the free energy is proportional to $N^{3/2}$ and the coefficient matches
correctly the volume of $Q^{1,1,1}$ and $V^{5,2}$.Comment: v2. minor revision;v3. clarification on Z extremization, 23 pages, 9
  figure
The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory

The generalized symmetric space sine-Gordon theories are a series of
1+1-integrable field theories that are classically equivalent to superstrings
on symmetric space spacetimes F/G. They are formulated in terms of a
semi-symmetric space as a gauged WZW model with fermions and a potential term
to deform it away from the conformal fixed point. We consider in particular the
case of PSU(2,2|4)/Sp(2,2)xSp(4) which corresponds to AdS(5)xS(5). We argue
that the infinite tower of conserved charges of these theories includes an
exotic N=(8,8) supersymmetry that is realized in a mildy non-local way at the
Lagrangian level. The supersymmetry is associated to a double central extension
of the superalgebra psu(2|2)+psu(2|2) and includes a non-trivial R symmetry
algebra corresponding to global gauge transformations, as well as 2-dimensional
spacetime translations. We then explicitly construct soliton solutions and show
that they carry an internal moduli superspace CP(2|1)xCP(2|1) with both bosonic
and Grassmann collective coordinates. We show how to semi-classical quantize
the solitons by writing an effective quantum mechanical system on the moduli
space which takes the form of a co-adjoint orbit of SU(2|2)xSU(2|2). The
spectrum consists of a tower of massive states in the short, or atypical,
symmetric representations, just as the giant magnon states of the string world
sheet theory, although here the tower is truncated.Comment: 39 pages, references adde
A Comparative Note on Tunneling in AdS and in its Boundary Matrix Dual

For charged black hole, within the grand canonical ensemble, the decay rate
from thermal AdS to the black hole at a fixed high temperature increases with
the chemical potential. We check that this feature is well captured by a
phenomenological matrix model expected to describe its strongly coupled dual.
This comparison is made by explicitly constructing the kink and bounce
solutions around the de-confinement transition and evaluating the matrix model
effective potential on the solutions.Comment: 1+12 pages, 9 figure
The "tetrad only" theory space: Nonperturbative renormalization flow and
  Asymptotic Safety

We set up a nonperturbative gravitational coarse graining flow and the
corresponding functional renormalization group equation on the as to yet
unexplored "tetrad only" theory space. It comprises action functionals which
depend on the tetrad field (along with the related background and ghost fields)
and are invariant under the semi-direct product of spacetime diffeomorphisms
and local Lorentz transformations. This theory space differs from that of
Quantum Einstein Gravity (QEG) in that the tetrad rather than the metric
constitutes the fundamental variable and because of the additional symmetry
requirement of local Lorentz invariance. It also differs from "Quantum Einstein
Cartan Gravity" (QECG) investigated recently since the spin connection is not
an independent field variable now. We explicitly compute the renormalization
group flow on this theory space within the tetrad version of the
Einstein-Hilbert truncation. A detailed comparison with analog results in QEG
and QECG is performed in order to assess the impact the choice of a fundamental
field variable has on the renormalization behavior of the gravitational average
action, and the possibility of an asymptotically safe infinite cutoff limit is
investigated. Implications for nonperturbative studies of fermionic matter
coupled to quantum gravity are also discussed. It turns out that, in the
context of functional flow equations, the "hybrid calculations" proposed in the
literature (using the tetrad for fermionic diagrams only, and the metric in all
others) are unlikely to be quantitatively reliable. Moreover we find that,
unlike in perturbation theory, the non-propagating Faddeev-Popov ghosts related
to the local Lorentz transformations may not be discarded but rather contribute
quite significantly to the beta functions of Newton's constant and the
cosmological constant.Comment: 45 pages, 10 figure
Revisiting coupling selection rules in heterotic orbifold models

We study L-point couplings between twisted sector fields in heterotic orbifold compactifications, using conformal field theory. Selection rules provide an easy way to identify which couplings are non-vanishing. Those used in the current literature are gauge invariance, R-charge conservation and the space group selection rule, but they are not the whole story. We revive and refine a fourth selection rule, due to symmetries in the underlying torus lattice, and introduce a fifth one, due to the existence or not of classical worldsheet instanton solutions to mediate the couplings. We consider briefly the phenomenological consequences of the additional rules, in particular for recent orbifold constructions whose field content correspond to that of the MSSM. The structure of the exotic mass matrices is unaltered and many dimension-5 proton-decay operators vanish.Grant-in-Aid for Scientific ResearchGrant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence”Ministry of Education, Culture, Sports, Science and Technology of JapanGöran Gustafsson FoundationDFFG/EXC/Origin and Structure of the UniverseDFG/SFB/TR33EU/FP7/PITN-GA-2009-237920CONACyT/82291DGAPA/IA10181
Microstates at the boundary of AdS

The bound states of the D1D5 brane system have a known gravitational
description: flat asymptotics, an anti-de Sitter region, and a 'cap' ending the
AdS region. We construct perturbations that correspond to the action of chiral
algebra generators on Ramond ground states of D1D5 branes. Abstract arguments
in the literature suggest that the perturbation should be pure gauge in the AdS
region; our perturbation indeed has this structure, with the nontrivial
deformation of the geometry occurring at the 'neck' between the AdS region and
asymptotic infinity. This 'non-gauge' deformation is needed to provide the
nonzero energy and momentum carried by the perturbation. We also suggest
implications this structure may have for the majority of microstates which live
at the cap.Comment: 41 pages, 6 figures, v2: cross-check of results added, to appear in
  JHE
Naturally split supersymmetry

Nonobservation of superparticles till date, new Higgs mass limits from the
CMS and ATLAS experiments, WMAP constraints on relic density, various other low
energy data, and the naturalness consideration, all considered simultaneously
imply a paradigm shift of supersymmetric model building. In this paper we
perform, for the first time, a detailed numerical study of brane-world induced
supersymmetry breaking for both minimal and next-to-minimal scenarios. We
observe that a naturally hierarchical spectrum emerges through an interplay of
bulk, brane-localized and quasi-localized fields, which can gain more relevance
in the subsequent phases of the LHC run.Comment: 6 pages, 6 eps figures; v2: minor updates, to appear in JHE
Liouville theory, N=2 gauge theories and accessory parameters

The correspondence between the semiclassical limit of the DOZZ quantum
Liouville theory and the Nekrasov-Shatashvili limit of the N = 2
(Omega-deformed) U(2) super-Yang-Mills theories is used to calculate the
unknown accessory parameter of the Fuchsian uniformization of the 4-punctured
sphere. The computation is based on the saddle point method. This allows to
find an analytic expression for the N_f = 4, U(2) instanton twisted
superpotential and, in turn, to sum up the 4-point classical block. It is well
known that the critical value of the Liouville action functional is the
generating function of the accessory parameters. This statement and the
factorization property of the 4-point action allow to express the unknown
accessory parameter as the derivative of the 4-point classical block with
respect to the modular parameter of the 4-punctured sphere. It has been found
that this accessory parameter is related to the sum of all rescaled column
lengths of the so-called 'critical' Young diagram extremizing the instanton
'free energy'. It is shown that the sum over the 'critical' column lengths can
be rewritten in terms of a contour integral in which the integrand is built out
of certain special functions closely related to the ordinary Gamma function.Comment: 26 pages, published versio
Constraints on LVS Compactifications of IIB String Theory

We argue that once all theoretical and phenomenological constraints are
imposed on the different versions of the Large Volume Scenario (LVS)
compactifications of type IIB string theory, one particular version is favored.
This is essentially a sequestered one in which the soft terms are generated by
Weyl anomaly and RG running effects. We also show that arguments questioning
sequestering in LVS models are not relevant in this case.Comment: 14 pages, additional discussion of D7 brane case and mSUGRA,
  reference adde