pinecone/core-2020-05-10-deduplication huggingface dataset:
Gravitational couplings in ${\cal N}=2$ string compactifications and
  Mathieu Moonshine

We evaluate the low energy gravitational couplings, $F_g$ in the heterotic
$E_8\times E_8$ string theory compactified on orbifolds of $K3\times T^2$ by
$g'$ which acts as a $\mathbb{Z}_N$ automorphisim on $K3$ together with a $1/N$
shift along $T^2$. The orbifold $g'$ corresponds to the conjugacy classes of
the Mathieu group $M_{24}$. The holomorphic piece of $F_g$ is given in terms of
a polylogarithim with index $3-2g$ and predicts the Gopakumar-Vafa invariants
in the corresponding dual type II Calabi-Yau compactifications. We show that
low lying Gopakumar-Vafa invariants for each of these compactifications
including the twisted sectors are integers. We observe that the conifold
singularity for all these compactifications occurs only when states in the
twisted sectors become massless and the strength of the singularity is
determined by the genus zero Gopakumar-Vafa invariant at this point in the
moduli space.Comment: 54 pages, Mathematica code included in the source file, minor typos
  fixed, one reference adde
Domain walls and instantons in N=1, d=4 supergravity

We study the supersymmetric sources of (multi-) domain-wall and (multi-)
instanton solutions of generic N=1, d=4 supergravities, that is: the
worldvolume effective actions for said supersymmetric topological defects. The
domain-wall solutions naturally couple to the two 3-forms recently found as
part of the N=1, d=4 tensor hierarchy (i.e. they have two charges in general)
and their tension is the absolute value of the superpotential section L. The
introduction of sources (we study sources with finite and vanishing thickness)
is equivalent to the introduction of local coupling constants and results in
dramatic changes of the solutions. Our results call for a democratic
reformulation of N=1,d=4 supergravity in which coupling constants are,
off-shell, scalar fields. The effective actions for the instantons are always
proportional to the coordinate orthogonal to the twist-free embedding of the
null-geodesic (in the Wick-rotated scalar manifold) describing the instanton.
We show their supersymmetry and find the associated supersymmetric (multi-)
instanton solutions.Comment: 34 pages, 4 figures, references adde
HQET at order 1/m: I. Non-perturbative parameters in the quenched
  approximation

We determine non-perturbatively the parameters of the lattice HQET Lagrangian
and those of the time component of the heavy-light axial-vector current in the
quenched approximation. The HQET expansion includes terms of order 1/m. Our
results allow to compute, for example, the heavy-light spectrum and B-meson
decay constants in the static approximation and to order 1/m in HQET. The
determination of the parameters is separated into universal and non-universal
parts. The universal results can be used to determine the parameters for
various discretizations. The computation reported in this paper uses the
plaquette gauge action and the "HYP1/2" action for the b-quark described by
HQET. The parameters of the current also depend on the light-quark action, for
which we choose non-perturbatively O(a)-improved Wilson fermions.Comment: 31 pages (19 pages + technical appendices) pdflatex. Discussion of
  vector current removed. Replaced by the published version, references adde
Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes

We discuss monodromy relations between different color-ordered amplitudes in
gauge theories. We show that Jacobi-like relations of Bern, Carrasco and
Johansson can be introduced in a manner that is compatible with these monodromy
relations. The Jacobi-like relations are not the most general set of equations
that satisfy this criterion. Applications to supergravity amplitudes follow
straightforwardly through the KLT-relations. We explicitly show how the
tree-level relations give rise to non-trivial identities at loop level.Comment: 28 pages, 8 figures, JHEP
Cooper pairing near charged black holes

We show that a quartic contact interaction between charged fermions can lead
to Cooper pairing and a superconducting instability in the background of a
charged asymptotically Anti-de Sitter black hole. For a massless fermion we
obtain the zero mode analytically and compute the dependence of the critical
temperature T_c on the charge of the fermion. The instability we find occurs at
charges above a critical value, where the fermion dispersion relation near the
Fermi surface is linear. The critical temperature goes to zero as the marginal
Fermi liquid is approached, together with the density of states at the Fermi
surface. Besides the charge, the critical temperature is controlled by a four
point function of a fermionic operator in the dual strongly coupled field
theory.Comment: 1+33 pages, 4 figure
Holographic Lovelock Gravities and Black Holes

We study holographic implications of Lovelock gravities in AdS spacetimes.
For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate
the existence condition for asymptotically AdS black holes. We consider small
fluctuations around these black holes and determine the constraint on Lovelock
parameters by demanding causality of the boundary theory. For the case of cubic
Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl
anomaly and determine the three point functions of the stress energy tensor in
the boundary CFT. Remarkably, these correlators happen to satisfy the same
relation as the one imposed by supersymmetry. We then compute the energy flux;
requiring it to be positive is shown to be completely equivalent to requiring
causality of the finite temperature CFT dual to the black hole. These
constraints are not stringent enough to place any positive lower bound on the
value of viscosity. Finally, we conjecture an expression for the energy flux
valid for any Lovelock theory in arbitrary dimensions.Comment: 31 pages, 1 figure, harvmac, references added, calculation of
  viscosity/entropy ratio include
Exact Results in ABJM Theory from Topological Strings

Recently, Kapustin, Willett and Yaakov have found, by using localization
techniques, that vacuum expectation values of Wilson loops in ABJM theory can
be calculated with a matrix model. We show that this matrix model is closely
related to Chern-Simons theory on a lens space with a gauge supergroup. This
theory has a topological string large N dual, and this makes possible to solve
the matrix model exactly in the large N expansion. In particular, we find the
exact expression for the vacuum expectation value of a 1/6 BPS Wilson loop in
the ABJM theory, as a function of the 't Hooft parameters, and in the planar
limit. This expression gives an exact interpolating function between the weak
and the strong coupling regimes. The behavior at strong coupling is in precise
agreement with the prediction of the AdS string dual. We also give explicit
results for the 1/2 BPS Wilson loop recently constructed by Drukker and
TrancanelliComment: 18 pages, two figures, small misprints corrected and references
  added, final version to appear in JHE
Holographic Flavor Transport in Schroedinger Spacetime

We use gauge-gravity duality to study the transport properties of a finite
density of charge carriers in a strongly-coupled theory with non-relativistic
symmetry. The field theory is N=4 supersymmetric SU(Nc) Yang-Mills theory in
the limit of large Nc and with large 't Hooft coupling, deformed by an
irrelevant operator, coupled to a number Nf of massive N=2 supersymmetric
hypermultiplets in the fundamental representation of the gauge group, i.e.
flavor fields. The irrelevant deformation breaks the relativistic conformal
group down to the Schroedinger group, which has non-relativistic scale
invariance with dynamical exponent z=2. Introducing a finite baryon number
density of the flavor fields provides us with charge carriers. We compute the
associated DC and AC conductivities using the dual gravitational description of
probe D7-branes in an asymptotically Schroedinger spacetime. We generically
find that in the infrared the conductivity exhibits scaling with temperature or
frequency that is relativistic, while in the ultraviolet the scalings appear to
be non-relativistic with dynamical exponent z=2, as expected in the presence of
the irrelevant deformation.Comment: 32 pages; v2 minor corrections, added three references, version
  published in JHE
Two dimensional fermions in three dimensional YM

Dirac fermions in the fundamental representation of SU(N) live on the surface
of a cylinder embedded in $R^3$ and interact with a three dimensional SU(N)
Yang Mills vector potential preserving a global chiral symmetry at finite $N$.
As the circumference of the cylinder is varied from small to large, the chiral
symmetry gets spontaneously broken in the infinite $N$ limit at a typical bulk
scale. Replacing three dimensional YM by four dimensional YM introduces
non-trivial renormalization effects.Comment: 21 pages, 7 figures, 5 table
The extremal black hole bomb

We analyze the spectrum of massive scalar bound states in the background of
extremal Kerr black holes, focusing on modes in the superradiant regime, which
grow exponentially in time and quickly deplete the black hole's mass and spin.
Previous analytical estimates for the growth rate of this instability were
limited to the $\mu M\ll1$ and $\mu M\gg1$ regimes, where $\mu$ and $M$ denote
the scalar field and black hole masses, respectively. In this work, we discuss
an analytical method to compute the superradiant spectrum for generic values of
these parameters, namely in the phenomenologically interesting regime $\mu
M\sim 1$. To do this, we solve the radial mode equation in two overlapping
regions and match the solutions in their common domain of validity. We show
that matching the functional forms of these functions involves approximations
that are not valid for the whole range of scalar masses, exhibiting unphysical
poles that produce a large enhancement of the growth rate. Alternatively, we
match the functions at a single point and show that, despite the uncertainty in
the choice of the match point, this method eliminates the spurious poles and
agrees with previous numerical computations of the spectrum using a
continued-fraction method.Comment: 19 pages, 6 figures; version to appear in JHEP, added one figure,
  references and discussio
On the non-BPS string solutions in Sasaki-Einstein gauge/gravity duality

We present an extensive analysis on several string solutions in AdS_5 x Ypq
and find some interesting properties of their energy-spin relations. Their
energy depends always on the parameter a(p,q) which characterizes these
manifolds. The range of this parameter for the string solutions is constrained
by the Sasaki-Einstein constraints that the solutions should satisfy. Hence
some string solutions we find are not valid for the whole class of Ypq
manifolds. For some of our solutions, when the maximum allowed value of a(p,q)
corresponds to the string approaching the poles of the squashed sphere in Ypq,
their energy at this limit approaches the BPS one. Thus certain non-BPS string
solutions in the whole class of Sasaki-Einstein manifolds, can become BPS in
particular manifolds. For the solutions with this property we point out that
this behavior is independent of the string motion in the other directions on
the manifold. We expect that in the field theory the corresponding generic
operators to these semi-classical strings, become BPS at certain quivers.Comment: 35 pages, 9 figure
Lessons from giant gravitons on AdS5×T11

We implement Mikhailov's holomorphic curve construction to explore various properties of giant gravitons in type IIB string theory on AdS5×T11. By coloring the D-brane worldvolume, we are able to show how, in the string theory, the giant graviton factorizes at its maximal size into two dibaryons - topologically stable D-branes wrapping non-contractible cycles in the T11. This is related to the structure of the symmetry group of the emergent Klebanov-Witten gauge theory being a product - SU(N)×SU(N) instead of the canonical SU(N). Finally, we complete this study with a systematic and detailed construction of the spectrum of small fluctuations about the giant graviton configuration. Curiously, we find that the fluctuation spectrum depends on the size of the giant. The similarity of the operator structures in the Klebanov-Witten and ABJM theories leads us to believe that the D4-brane giant graviton in type IIA string theory on AdS4×CP3 factorizes into two CP2 dibaryons in a qualitatively similar way
Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT
  Correspondence

In this paper, we study the real-time correlators in Kerr/CFT, in the low
frequency limit of generic non-extremal Kerr(-Newman) black holes. From the low
frequency scattering of Kerr-Newman black holes, we show that for the uncharged
scalar scattering, there exists hidden conformal symmetry on the solution
space. Similar to Kerr case, this suggests that the Kerr-Newman black hole is
dual to a two-dimensional CFT with central charges $c_L=c_R=12J$ and
temperatures $T_L=\frac{(r_++r_-)-Q^2/M}{4\pi a}, T_R=\frac{r_+-r_-}{4\pi a}$.
Using the Minkowski prescription, we compute the real-time correlators of
charged scalar and find perfect match with CFT prediction. We further discuss
the low-frequency scattering of photons and gravitons by Kerr black hole and
find that their retarded Green's functions are in good agreement with CFT
prediction. Our study supports the idea that the hidden conformal symmetry in
the solution space is essential to Kerr/CFT correspondence.Comment: 15 pages, Latex; typos corrected, references updated; minor
  correction, published versio
A consistent truncation of IIB supergravity on manifolds admitting a
  Sasaki-Einstein structure

We present a consistent truncation of IIB supergravity on manifolds admitting
a Sasaki-Einstein structure, which keeps the metric and five real scalar
fields. This theory can be further truncated to a constrained one-parameter
family that depends on only the metric and one scalar, as well as to a theory
with a metric and three scalars. The reduced theory admits supersymmetric and
non-supersymmetric AdS_5 and AdS_4 x R solutions. We analyze the spectrum
around the AdS critical points and identify the dual operators.Comment: 21 pages; v2: references added and minor improvement
Radiative Electroweak Symmetry Breaking in a Little Higgs Model

We present a new Little Higgs model, motivated by the deconstruction of a
five-dimensional gauge-Higgs model. The approximate global symmetry is
$SO(5)_0\times SO(5)_1$, breaking to $SO(5)$, with a gauged subgroup of
$[SU(2)_{0L}\times U(1)_{0R}]\times O(4)_1$, breaking to $SU(2)_L \times
U(1)_Y$. Radiative corrections produce an additional small vacuum misalignment,
breaking the electroweak symmetry down to $U(1)_{EM}$. Novel features of this
model are: the only un-eaten pseudo-Goldstone boson in the effective theory is
the Higgs boson; the model contains a custodial symmetry, which ensures that
$\hat{T}=0$ at tree-level; and the potential for the Higgs boson is generated
entirely through one-loop radiative corrections. A small negative mass-squared
in the Higgs potential is obtained by a cancellation between the contribution
of two heavy partners of the top quark, which is readily achieved over much of
the parameter space. We can then obtain both a vacuum expectation value of
$v=246$ GeV and a light Higgs boson mass, which is strongly correlated with the
masses of the two heavy top quark partners. For a scale of the global symmetry
breaking of $f=1$ TeV and using a single cutoff for the fermion loops, the
Higgs boson mass satisfies 120 GeV $\lesssim M_H\lesssim150$ GeV over much of
the range of parameter space. For $f$ raised to 10 TeV, these values increase
by about 40 GeV. Effects at the ultraviolet cutoff scale may also raise the
predicted values of the Higgs boson mass, but the model still favors
$M_H\lesssim 200$ GeV.Comment: 32 pages, 10 figures, JHEP style. Version accepted for publication in
  JHEP. Includes additional discussion of sensitivity to UV effects and
  fine-tuning, revised Fig. 9, added appendix and additional references
The epsilon expansion at next-to-next-to-leading order with small
  imaginary chemical potential

We discuss chiral perturbation theory for two and three quark flavors in the
epsilon expansion at next-to-next-to-leading order (NNLO) including a small
imaginary chemical potential. We calculate finite-volume corrections to the
low-energy constants $\Sigma$ and $F$ and determine the non-universal
modifications of the theory, i.e., modifications that cannot be mapped to
random matrix theory (RMT). In the special case of two quark flavors in an
asymmetric box we discuss how to minimize the finite-volume corrections and
non-universal modifications by an optimal choice of the lattice geometry.
Furthermore we provide a detailed calculation of a special version of the
massless sunset diagram at finite volume.Comment: 21 pages, 5 figure
Searches for Long Lived Neutral Particles

An intriguing possibility for TeV scale physics is the existence of neutral
long lived particles (LOLIPs) that subsequently decay into SM states. Such
particles are many cases indistinguishable from missing transverse energy (MET)
at colliders. We propose new methods to search for these particles using
neutrino telescopes. We study their detection prospects, assuming production
either at the LHC or through dark matter (DM) annihilations in the Sun and the
Earth. We find that the sensitivity for LOLIPs produced at the LHC is limited
by luminosity and detection energy thresholds. On the other hand, in the case
of DM annihilation into LOLIPs, the sensitivity of neutrino telescopes is
promising and may extend beyond the reach of upcoming direct detection
experiments. In the context of low scale hidden sectors weakly coupled to the
SM, such indirect searches allow to probe couplings as small as 10^-15.Comment: 22 pages, 6 figure
Deforming the D1D5 CFT away from the orbifold point

The D1D5 brane bound state is believed to have an `orbifold point' in its
moduli space which is the analogue of the free Yang Mills theory for the D3
brane bound state. The supergravity geometry generated by D1 and D5 branes is
described by a different point in moduli space, and in moving towards this
point we have to deform the CFT by a marginal operator: the `twist' which links
together two copies of the CFT. In this paper we find the effect of this
deformation operator on the simplest physical state of the CFT -- the Ramond
vacuum. The twist deformation leads to a final state that is populated by pairs
of excitations like those in a squeezed state. We find the coefficients
characterizing the distribution of these particle pairs (for both bosons and
fermions) and thus write this final state in closed form.Comment: 30 pages, 4 figures, Late
Excitations in the deformed D1D5 CFT

We perform some simple computations for the first order deformation of the
D1D5 CFT off its orbifold point. It had been shown earlier that under this
deformation the vacuum state changes to a squeezed state (with the further
action of a supercharge). We now start with states containing one or two
initial quanta and write down the corresponding states obtained under the
action of deformation operator. The result is relevant to the evolution of an
initial excitation in the CFT dual to the near extremal D1D5 black hole: when a
left and a right moving excitation collide in the CFT, the deformation operator
spreads their energy over a larger number of quanta, thus evolving the state
towards the infrared.Comment: 26 pages, Latex, 4 figure
New Penrose Limits and AdS/CFT

We find a new Penrose limit of AdS_5 x S^5 giving the maximally
supersymmetric pp-wave background with two explicit space-like isometries. This
is an important missing piece in studying the AdS/CFT correspondence in certain
subsectors. In particular whereas the Penrose limit giving one space-like
isometry is useful for the SU(2) sector of N=4 SYM, this new Penrose limit is
instead useful for studying the SU(2|3) and SU(1,2|3) sectors. In addition to
the new Penrose limit of AdS_5 x S^5 we also find a new Penrose limit of AdS_4
x CP^3.Comment: 30 page
Single-inclusive production of large-pT charged particles in hadronic
  collisions at TeV energies and perturbative QCD predictions

The single inclusive spectrum of charged particles with transverse momenta
pT=3-150 GeV/c measured at midrapidity by the CDF experiment in
proton-antiproton (p-pbar) collisions at sqrt(s)=1.96 TeV is compared to
next-to-leading order (NLO) perturbative QCD calculations using the most recent
parametrizations of the parton distributions and parton-to-hadron fragmentation
functions. Above pT~20 GeV/c, there is a very sizeable disagreement of the
Tevatron data compared to the NLO predictions and to xT-scaling expectations,
suggesting a problem in the experimental data. We also present the predictions
for the pT-differential charged hadron spectra and the associated theoretical
uncertainties for proton-proton (p-p) collisions at LHC energies
(sqrt(s)=0.9-14 TeV). Two procedures to estimate the charged hadron spectra at
LHC heavy-ion collision energies (sqrt(s)=2.76,5.5 TeV) from p-p measurements
are suggested.Comment: 23 pages, 9 figures. A few text additions. Accepted for publication
  in JHE
Regular Wilson loops and MHV amplitudes at weak and strong coupling

Traditionally, the duality between Wilson loops and amplitudes beyond one
loop in N=4 SYM is characterised by the remainder function. Because of the
perturbative origins of the BDS expression, the remainder function is more
natural at weak than at strong coupling. We advocate instead a more direct
approach, based on considering ratios of Wilson loops. This allows us to define
a manifestly finite, regularisation independent, conformally invariant
quantity. It does not make a direct reference to the BDS expression and the
definition is regularisation independent. It is a natural object at weak and at
strong coupling, and in the latter case is directly related to the free energy
of an auxiliary integrable system. We then compute these ratios for continuous
families of regular polygons for 6,8 and 10 points at one and two-loops. These
results are compared to expressions derived recently at strong coupling.Comment: v3 corrected discussion of octagon AdS3 kinematics. v2 extended
  discussion of multi-collinear limits, new figure, reference added. 23 pages,
  6 figure
Phenomenology of event shapes at hadron colliders

We present results for matched distributions of a range of dijet event shapes
at hadron colliders, combining next-to-leading logarithmic (NLL) accuracy in
the resummation exponent, next-to-next-to leading logarithmic (NNLL) accuracy
in its expansion and next-to-leading order (NLO) accuracy in a pure alpha_s
expansion. This is the first time that such a matching has been carried out for
hadronic final-state observables at hadron colliders. We compare our results to
Monte Carlo predictions, with and without matching to multi-parton tree-level
fixed-order calculations. These studies suggest that hadron-collider event
shapes have significant scope for constraining both perturbative and
non-perturbative aspects of hadron-collider QCD. The differences between
various calculational methods also highlight the limits of relying on
simultaneous variations of renormalisation and factorisation scale in making
reliable estimates of uncertainties in QCD predictions. We also discuss the
sensitivity of event shapes to the topology of multi-jet events, which are
expected to appear in many New Physics scenarios.Comment: 70 pages, 25 figures, additional material available from
  http://www.lpthe.jussieu.fr/~salam/pp-event-shapes