pinecone/core-2020-05-10-deduplication huggingface dataset:
N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae

We compute the Nekrasov partition function of gauge theories on the (resolved) toric singularities C2/Γ in terms of blow-up formulae. We discuss the expansion of the partition function in the e1,e2 → 0 limit along with its modular properties and how to derive them from the M-theory perspective. On the two-dimensional conformal field theory side, our results can be interpreted in terms of representations of the direct sum of Heisenberg plus W_N -algebrae with suitable central charges, which can be computed from the fan of the resolved toric variety. We provide a check of this correspondence by computing the central charge of the two-dimensional theory from the anomaly polynomial of M5-brane theory. Upon using the AGT correspondence our results provide a candidate for the conformal blocks and three-point functions of a class of the two-dimensional CFTs which includes parafermionic theories
Massless hook field in AdS(d+1) from the holographic perspective

We systematically consider the AdS/CFT correspondence for a simplest
mixed-symmetry massless gauge field described by hook Young diagram. We
introduce the radial gauge fixing and explicitly solve the Dirichlet problem
for the hook field equations. Solution finding conveniently splits in two
steps. We first define an incomplete solution characterized by a functional
freedom and then impose the boundary conditions. The resulting complete
solution is fixed unambiguously up to boundary values. Two-point correlation
function of hook primary operators is found via the corresponding boundary
effective action computed separately in even and odd boundary dimensions. In
particular, the higher-derivative action for boundary conformal hook fields is
identified with a singular part of the effective action in even dimensions. The
bulk/boundary symmetry transmutation within the Dirichlet boundary problem is
explicitly studied. It is shown that traces of boundary fields are
Stueckelberg-like modes that can be algebraically gauged away so that boundary
fields are traceless.Comment: 41 pages; v2: minor corrections, refs adde
Charming CP Violation and Dipole Operators from RS Flavor Anarchy

Recently the LHCb collaboration reported evidence for direct CP violation in
charm decays. The value is sufficiently large that either substantially
enhanced Standard Model contributions or non-Standard Model physics is required
to explain it. In the latter case only a limited number of possibilities would
be consistent with other existing flavor-changing constraints. We show that
warped extra dimensional models that explain the quark spectrum through flavor
anarchy can naturally give rise to contributions of the size required to
explain the the LHCb result. The D meson asymmetry arises through a sizable
CP-violating contribution to a chromomagnetic dipole operator. This happens
naturally without introducing inconsistencies with existing constraints in the
up quark sector. We discuss some subtleties in the loop calculation that are
similar to those in Higgs to \gamma\gamma. Loop-induced dipole operators in
warped scenarios and their composite analogs exhibit non-trivial dependence on
the Higgs profile, with the contributions monotonically decreasing when the
Higgs is pushed away from the IR brane. We show that the size of the dipole
operator quickly saturates as the Higgs profile approaches the IR brane,
implying small dependence on the precise details of the Higgs profile when it
is quasi IR localized. We also explain why the calculation of the coefficient
of the lowest dimension 5D operator is guaranteed to be finite. This is true
not only in the charm sector but also with other radiative processes such as
electric dipole moments, b to s\gamma, \epsilon'/\epsilon_K and \mu\ to
e\gamma. We furthermore discuss the interpretation of this contribution within
the framework of partial compositeness in four dimensions and highlight some
qualitative differences between the generic result of composite models and that
obtained for dynamics that reproduces the warped scenario.Comment: 14 page
Jet coherence in QCD media: the antenna radiation spectrum

We study the radiation of a highly energetic partonic antenna in a colored
state traversing a dense QCD medium. Resumming multiple scatterings of all
involved constituents with the medium we derive the general gluon spectrum
which encompasses both longitudinal color coherence between scattering centers
in the medium, responsible for the well known Landau-Pomeranchuk-Migdal (LPM)
effect, and transverse color coherence between partons inside a jet, leading,
in vacuum, to angular ordering of the parton shower. We discuss shortly the
onset of transverse decoherence which is reached in opaque media. In this
regime, the spectrum consists of independent radiation off the antenna
constituents.Comment: 15 pages, 2 figures, paper shortened and partly rewritten, references
  added, results unchange
Instability of N=2 gauge theory in compact space with an isospin chemical potential.

We investigate N=2 super-Yang-Mills theory on a three sphere in the presence of an isospin chemical potential at strong coupling using the AdS/CFT correspondence. This system exhibits an instability for sufficiently large values of the chemical potential. In contrast to other related models, the first excitation to condense is not a vector meson but rather a scalar charged under the global SO(4) symmetry group. Furthermore, the spectrum of fluctuations exhibits an interesting cross-over behaviour as a function of the dimensionless temperature. We construct the new ground state of the non-linear theory
Sommerfeld effect in heavy quark chemical equilibration

The chemical equilibration of heavy quarks in a quark-gluon plasma proceeds via annihilation or pair creation. For temperatures T much below the heavy quark mass M, when kinetically equilibrated heavy quarks move very slowly, the annihilation in the colour singlet channel is enhanced because the quark and antiquark attract each other which increases their probability to meet, whereas the octet contribution is suppressed. This is the so-called Sommerfeld effect. It has not been taken into account in previous calculations of the chemical equilibration rate, which are therefore incomplete for T ≲ α2sM . We compute the leading-order equilibration rate in this regime; there is a large enhancement in the singlet channel, but the rate is dominated by the octet channel, and therefore the total effect is small. In the course of the computation we demonstrate how operators that represent the annihilation of heavy quarks in non-relativistic QCD can be incorporated into the imaginary-time formalism
Fermionic impurities in the unquenched ABJM

We study, in a holographic setup, the effect of adding localized fermionic
impurities to the three-dimensional Chern-Simons-matter theories with
unquenched fields in the fundamental representation of the gauge group. The
impurities are introduced as probe D6-branes extending along the radial
direction and wrapping a five-dimensional submanifold inside a squashed CP^3.
We analyze the straight flux tube embeddings and study the corresponding
fluctuation modes of the D6-branes. The conformal dimensions of the operators
dual to such fluctuations depend non-trivially on the ratio of the flavor
number to the Chern-Simon level of the unquenched ABJM.Comment: 26 pages. v3: further corrections to match published version in JHE
Constraints on Superfluid Hydrodynamics from Equilibrium Partition
  Functions

Following up on recent work in the context of ordinary fluids, we study the
equilibrium partition function of a 3+1 dimensional superfluid on an arbitrary
stationary background spacetime, and with arbitrary stationary background gauge
fields, in the long wavelength expansion. We argue that this partition function
is generated by a 3 dimensional Euclidean effective action for the massless
Goldstone field. We parameterize the general form of this action at first order
in the derivative expansion. We demonstrate that the constitutive relations of
relativistic superfluid hydrodynamics are significantly constrained by the
requirement of consistency with such an effective action. At first order in the
derivative expansion we demonstrate that the resultant constraints on
constitutive relations coincide precisely with the equalities between
hydrodynamical transport coefficients recently derived from the second law of
thermodynamics.Comment: 46 page
Single Perturbative Splitting Diagrams in Double Parton Scattering

We present a detailed study of a specific class of graph that can potentially
contribute to the proton-proton double parton scattering (DPS) cross section.
These are the `2v1' or `single perturbative splitting' graphs, in which two
`nonperturbatively generated' (NP) ladders interact with two ladders that have
been generated via a perturbative 1->2 branching process. Using a detailed
calculation, we confirm the result first written down by Ryskin and Snigirev,
that 2v1 graphs in which the two NP ladders do not interact with one another do
contribute to the LO proton-proton DPS cross section, albeit with a different
geometrical prefactor to the one that applies to the `2v2'/`zero perturbative
splitting' graphs. We then show that 2v1 graphs in which the NP ladders
exchange partons with one another also contribute to the LO proton-proton DPS
cross section, provided that this `crosstalk' occurs at a lower scale than the
1->2 branching on the other side of the graph. Due to the preference in the 2v1
graphs for the x value at which the branching occurs/crosstalk ceases to be
much larger than x values at the hard scale, the effect of crosstalk
interactions is likely to be a decrease in the 2v1 cross section except at very
small x values (< 10^-6). At moderate x values ~10^-3 - 10^-2, the x value at
the splitting is in the region ~10^-1 where PDFs do not change much with scale,
and crosstalk effects are likely to be small. We give an explicit formula for
the contribution from the 2v1 graphs to the DPS cross section, and combine this
with the suggestion that `double perturbative splitting'/`1v1' graphs should be
removed from this cross section made in a previous publication, to obtain a
formula for the DPS cross section. We point out that there are two potentially
concerning features in this equation, that might indicate that our prescription
for handling the 1v1 graphs is not quite correct.Comment: 31 pages, 7 figures, 1 table. Added discussion about numerical impact
  of crosstalk, and modified abstract and conclusions accordingly. Published
  versio
Classification and stability of vacua in maximal gauged supergravity

This article presents a systematic study of critical points for the SL(8,
R)-type gauging in four dimensional maximal gauged supergravity. We determine
all the possible vacua for which the origin of the moduli space becomes a
critical point. We formulate a new tool which enables us to find analytically
the mass spectrum of the corresponding vacua in terms of eigenvalues of the
embedding tensor. When the cosmological constant is nonvanishing, it turns out
that many vacua obtained by the dyonic embedding admit a single deformation
parameter of the theory, in agreement with the results of the recent paper by
Dall'Agata, Inverso and Trigiante [arXiv:1209.0760]. Nevertheless, it is shown
that the resulting mass spectrum is independent of the deformation parameter
and can be classified according to the unbroken gauge symmetry at the vacua,
rather than the underlying gauging. We also show that the generic Minkowski
vacua exhibit instability.Comment: 26 pages, 2 tables; v2: improved arguments on vacuum classification,
  typos corrected; v3: final version to appear in JHE
On using Cold Baryogenesis to constrain the Two-Higgs Doublet Model

We consider the creation of the cosmological baryon asymmetry in the Two
Higgs Doublet Model. We imagine a situation where the masses of the five Higgs
particles and the two Higgs vevs are constrained by collider experiments, and
demonstrate how the requirement of successful baryogenesis can be used to
further constrain the remaining 4-dimensional parameter space of the model. We
numerically compute the asymmetry within the scenario of Cold Electroweak
Baryogenesis, which is particularly straightforward to simulate reliably.Comment: 16 pages, 7 figure
Classical and quantum integrability in AdS(2)/CFT(1)

We investigate the type IIA string on AdS(2)xS(2)xT(6) supported by RR-flux
which describes the gravitational side of the AdS(2)/CFT(1) correspondence.
While the four-dimensional part AdS(2)xS(2) can be realized as a supercoset,
the full superstring has both coset and non-coset excitations, the latter
giving rise to massless worldsheet modes, a somewhat novel feature in AdS/CFT.
The string is nevertheless known to be integrable at the classical level. In
this paper we perform several computations checking aspects of both classical
and quantum string integrability. At the classical level we compute energies
for the near BMN string and successfully match these against Bethe ansatz
predictions. Furthermore, integrability dictates a magnon dispersion relation
which we compare with the poles of loop corrected propagators, at both the one
and two-loop level. At one loop, where only tadpole diagrams contribute, we
find that the bosonic and fermionic contributions sum up to zero. Under the
assumption of worldsheet supersymmetry, we then compute the two-loop sunset
diagram in the near flat space limit. As in AdS(5)xS(5) we find that the result
fits nicely into the sine-square structure of the dispersion relation.Comment: 18 pages, 2 figures; v2: References adde
On NMHV form factors in N=4 SYM theory from generalized unitarity

In this paper a supersymmetric version of a generalized unitarity cut method
in application to MHV and NMHV for form factors of operators from the N=4 SYM
stress-tensor current supermultiplet $T^{AB}$ at one loop is discussed. The
explicit answers for 3 and 4 point NMHV form factors at tree and one loop level
are obtained. The general structure of n-point NMHV form factor at one loop is
discussed as well as the relation between form factor with super momentum equal
to zero and the logarithmic derivative of the superamplitude with respect to
the coupling constant.Comment: Latex, 43 pages, 11 figures; v3: JHEP ver., minor changes, typos
  corrected, ref. adde
Chern-Simons-Fermion Vector Model with Chemical Potential

We study SU(N) level k Chern-Simons theories coupling to a fundamental
fermion with chemical potential for U(1) flavor symmetry. We solve this system
exactly in the 't Hooft limit, N,k\to\infty with \lambda = N/k fixed. The
solution exists up to |\lambda|=1 for a fixed value of chemical potential. We
study the system beyond |\lambda|=1 by considering U(N) gauge group and taking
the diagonal U(1) holonomy into account. The result suggests the system becomes
unstable and a phase transition happens at |\lambda|=1.Comment: 12 pages, 5 figures, v2: a note in Introduction, comments in Section
  4, a reference and acknowledgement adde
Top quark forward-backward asymmetry in R-parity violating supersymmetry

The interaction of bottom squark-mediated top quark pair production,
occurring in the R-parity violating minimal supersymmetric standard model
(MSSM), is proposed as an explanation of the anomalously large $t\bar{t}$
forward-backward asymmetry (FBA) observed at the Tevatron. We find that this
model can give a good fit to top quark data, both the inclusive and invariant
mass-dependent asymmetries, while remaining consistent (at the 2-$\sigma$
level) with the total and differential production cross-sections. The scenario
is challenged by strong constraints from atomic parity violation (APV), but we
point out an extra diagram for the effective down quark-Z vertex, involving the
same coupling constant as required for the FBA, which tends to weaken the APV
constraint, and which can nullify it for reasonable values of the top squark
masses and mixing angle. Large contributions to flavor-changing neutral
currents can be avoided if only the third generation of sparticles is light.Comment: 24 pages, 7 figures. v3: included LHC top production cross section
  data; model still consistent at 2 sigma leve
The six-point remainder function to all loop orders in the multi-Regge
  limit

We present an all-orders formula for the six-point amplitude of planar
maximally supersymmetric N=4 Yang-Mills theory in the leading-logarithmic
approximation of multi-Regge kinematics. In the MHV helicity configuration, our
results agree with an integral formula of Lipatov and Prygarin through at least
14 loops. A differential equation linking the MHV and NMHV helicity
configurations has a natural action in the space of functions relevant to this
problem---the single-valued harmonic polylogarithms introduced by Brown. These
functions depend on a single complex variable and its conjugate, w and w*,
which are quadratically related to the original kinematic variables. We
investigate the all-orders formula in the near-collinear limit, which is
approached as |w|->0. Up to power-suppressed terms, the resulting expansion may
be organized by powers of log|w|. The leading term of this expansion agrees
with the all-orders double-leading-logarithmic approximation of Bartels,
Lipatov, and Prygarin. The explicit form for the sub-leading powers of log|w|
is given in terms of modified Bessel functions.Comment: 25 pages, 1 figur
Refined Black Hole Ensembles and Topological Strings

We formulate a refined version of the Ooguri-Strominger-Vafa (OSV)
conjecture. The OSV conjecture that Z_{BH} = |Z_{top}|^2 relates the BPS black
hole partition function to the topological string partition function Z_{top}.
In the refined conjecture, Z_{BH} is the partition function of BPS black holes
counted with spin, or more precisely the protected spin character. Z_{top}
becomes the partition function of the refined topological string, which is
itself an index. Both the original and the refined conjecture are examples of
large N duality in the 't Hooft sense. The refined conjecture applies to
non-compact Calabi-Yau manifolds only, so the black holes are really BPS
particles with large entropy, of order N^2. The refined OSV conjecture states
that the refined BPS partition function has a large N dual which is captured by
the refined topological string. We provide evidence that the conjecture holds
by studying local Calabi-Yau threefolds consisting of line bundles over a genus
g Riemann surface. We show that the refined topological string partition
function on these geometries is computed by a two-dimensional TQFT. We also
study the refined black hole partition function arising from N D4 branes on the
Calabi-Yau, and argue that it reduces to a (q,t)-deformed version of
two-dimensional SU(N) Yang-Mills. Finally, we show that in the large N limit
this theory factorizes to the square of the refined topological string in
accordance with the refined OSV conjecture.Comment: 49+17 pages, 5 figure
Measurement of the ZZ production cross section and search for anomalous couplings in 2ℓ2ℓ′ final states in pp collisions at s√=7 TeV

A measurement is presented of the ZZ production cross section in the ZZ → 2ℓ2ℓ′ decay mode with ℓ = e, μ and ℓ′ = e, μ, τ in proton-proton collisions at s√=7 TeV with the CMS experiment at the LHC. Results are based on data corresponding to an integrated luminosity of 5.0 fb−1. The measured cross section σ(pp→ZZ)=6.24+0.86−0.80(stat.)+0.41−0.32(syst.)±0.14(lumi.)pb is consistent with the standard model predictions. The following limits on ZZZ and ZZγ anomalous trilinear gauge couplings are set at 95% confidence level: −0.011<fZ4<0.012,−0.012<fZ5<0.012,−0.013<f\upgamma4<0.015 , and −0.014<f\upgamma5<0.014
The gauge structure of generalised diffeomorphisms

We investigate the generalised diffeomorphisms in M-theory, which are gauge
transformations unifying diffeomorphisms and tensor gauge transformations.
After giving an En(n)-covariant description of the gauge transformations and
their commutators, we show that the gauge algebra is infinitely reducible,
i.e., the tower of ghosts for ghosts is infinite. The Jacobiator of generalised
diffeomorphisms gives such a reducibility transformation. We give a concrete
description of the ghost structure, and demonstrate that the infinite sums give
the correct (regularised) number of degrees of freedom. The ghost towers belong
to the sequences of rep- resentations previously observed appearing in tensor
hierarchies and Borcherds algebras. All calculations rely on the section
condition, which we reformulate as a linear condition on the cotangent
directions. The analysis holds for n < 8. At n = 8, where the dual gravity
field becomes relevant, the natural guess for the gauge parameter and its
reducibility still yields the correct counting of gauge parameters.Comment: 24 pp., plain tex, 1 figure. v2: minor changes, including a few added
  ref
Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

An elementary introduction to Khovanov construction of superpolynomials.
Despite its technical complexity, this method remains the only source of a
definition of superpolynomials from the first principles and therefore is
important for development and testing of alternative approaches. In this first
part of the review series we concentrate on the most transparent and
unambiguous part of the story: the unreduced Jones superpolynomials in the
fundamental representation and consider the 2-strand braids as the main
example. Already for the 5_1 knot the unreduced superpolynomial contains more
items than the ordinary Jones.Comment: 33 page
Higgs Bosons at 98 and 125 GeV at LEP and the LHC

We discuss NMSSM scenarios in which the lightest Higgs boson $h_1$ is
consistent with the small LEP excess at about 98 GeV in $e^+e^- \to Zh$ with
$h\to b\anti b$ and the heavier Higgs boson $h_2$ has the primary features of
the LHC Higgs-like signals at 125 GeV, including an enhanced $\gamma\gamma$
rate. Verification or falsification of the 98 GeV $h_1$ may be possible at the
LHC during the 14 TeV run. The detection of the other NMSSM Higgs bosons at the
LHC and future colliders is also discussed, as well as dark matter properties
of the scenario under consideration.Comment: 24 pages, 15 figures, minor corrections, figure improvements, final
  version as it will appear in the journa
Exploring Curved Superspace (II)

We extend our previous analysis of Riemannian four-manifolds M admitting
rigid supersymmetry to N=1 theories that do not possess a U(1)_R symmetry. With
one exception, we find that M must be a Hermitian manifold. However, the
presence of supersymmetry imposes additional restrictions. For instance, a
supercharge that squares to zero exists, if the canonical bundle of the
Hermitian manifold M admits a nowhere vanishing, holomorphic section. This
requirement can be slightly relaxed if M is a torus bundle over a Riemann
surface, in which case we obtain a supercharge that squares to a complex
Killing vector. We also analyze the conditions for the presence of more than
one supercharge. The exceptional case occurs when M is a warped product S^3 x
R, where the radius of the round S^3 is allowed to vary along R. Such manifolds
admit two supercharges that generate the superalgebra OSp(1|2). If the S^3
smoothly shrinks to zero at two points, we obtain a squashed four-sphere, which
is not a Hermitian manifold.Comment: 34 pages; reference adde