pinecone/core-2020-05-10-deduplication huggingface dataset:
Nahm equations in supersymmetric mechanics

We elaborate on a novel model of N=4 supersymmetric mechanics with extra spin variables. A dynamical linear (1,4,3) multiplet is coupled to a "semi-dynamical" linear (3,4,1) multiplet representing spin degrees of freedom in a Wess-Zumino action. The unique coupling of these two multiplets relates the dynamical bosonic variable to an arbitrary harmonic function of the SU(2) triplet of spin variables. As we prove at the classical and quantum level, N=4 supersymmetry is equivalent to the Nahm equations for the spin variables, with the dynamical boson as evolution parameter. We treat in detail the one- and two-monopole as well as some special multi-monopole configurations. While one monopole exhibits superconformal OSp(4|2) symmetry and was worked out previously, only N=4, d=1 Poincaré supersymmetry survives for multi-monopole configurations
The Two Faces of Anomaly Mediation

Anomaly mediation is a ubiquitous source of supersymmetry (SUSY) breaking
which appears in almost every theory of supergravity. In this paper, we show
that anomaly mediation really consists of two physically distinct phenomena,
which we dub "gravitino mediation" and "Kahler mediation". Gravitino mediation
arises from minimally uplifting SUSY anti-de Sitter (AdS) space to Minkowski
space, generating soft masses proportional to the gravitino mass. Kahler
mediation arises when visible sector fields have linear couplings to SUSY
breaking in the Kahler potential, generating soft masses proportional to beta
function coefficients. In the literature, these two phenomena are lumped
together under the name "anomaly mediation", but here we demonstrate that they
can be physically disentangled by measuring associated couplings to the
goldstino. In particular, we use the example of gaugino soft masses to show
that gravitino mediation generates soft masses without corresponding goldstino
couplings. This result naively violates the goldstino equivalence theorem but
is in fact necessary for supercurrent conservation in AdS space. Since
gravitino mediation persists even when the visible sector is sequestered from
SUSY breaking, we can use the absence of goldstino couplings as an unambiguous
definition of sequestering.Comment: 21 pages, 1 table; v2, references added, extended discussion in
  introduction and appendix; v3, JHEP versio
The CMB and the measure of the multiverse

In the context of eternal inflation, cosmological predictions depend on the
choice of measure to regulate the diverging spacetime volume. The spectrum of
inflationary perturbations is no exception, as we demonstrate by comparing the
predictions of the fat geodesic and causal patch measures. To highlight the
effect of the measure---as opposed to any effects related to a possible
landscape of vacua---we take the cosmological model, including the model of
inflation, to be fixed. We also condition on the average CMB temperature
accompanying the measurement. Both measures predict a 1-point expectation value
for the gauge-invariant Newtonian potential, which takes the form of a
(scale-dependent) monopole, in addition to a related contribution to the
3-point correlation function, with the detailed form of these quantities
differing between the measures. However, for both measures both effects are
well within cosmic variance. Our results make clear the theoretical relevance
of the measure, and at the same time validate the standard inflationary
predictions in the context of eternal inflation.Comment: 28 pages; v2: reference added, some clarification
Can we see quantum gravity? Photons in the asymptotic-safety scenario

In the search for a quantum theory of gravity it is crucial to find
experimental access to quantum gravitational effects. Since these are expected
to be very small at observationally accessible scales it is advantageous to
consider processes with no tree-level contribution in the Standard Model, such
as photon-photon scattering. We examine the implications of asymptotically safe
quantum gravity in a setting with extra dimensions for this case, and point out
that various near-future photon-collider setups, employing either electron or
muon colliders, or even a purely laser-based setup, could provide a first
observational window into the quantum gravity regime.Comment: 29 pages, 9 figures, matches journal version in JHE
NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and
  Drell-Yan production

Using the technology of the CAESAR approach to resummation, we examine the
jet-veto efficiency in Higgs-boson and Drell-Yan production at hadron colliders
and show that at next-to-leading logarithmic (NLL) accuracy the resummation
reduces to just a Sudakov form factor. Matching with NNLO calculations results
in stable predictions for the case of Drell-Yan production, but reveals
substantial uncertainties in gluon-fusion Higgs production, connected in part
with the poor behaviour of the perturbative series for the total cross section.
We compare our results to those from POWHEG with and without reweighting by
HqT, as used experimentally, and observe acceptable agreement. In an appendix
we derive the part of the NNLL resummation corrections associated with the
radius dependence of the jet algorithm.Comment: 30 pages, 8 figures; v2 as published in JHE
Deconstructing graviphoton from mass-deformed ABJM

Mass-deformed ABJM theory has a maximally supersymmetric fuzzy two-sphere
vacuum solution where the scalar fields are proportional to the TGRVV matrices.
We construct these matrices using Schwinger oscillators. This shows that the
ABJM gauge group that corresponds to the fuzzy two-sphere geometry is
$U(N)\times U(N-1)$. We deconstruct the graviphoton term in the D4 brane
theory. The normalization of this term is fixed by topological reasons. This
gives us the correct normalization of the deconstructed U(1) gauge field and
fixes the Yang -Mills coupling constant to the value which corresponds to M5
brane compactified on $\mb{R}^ {1,2} \times S^3/{\mb{Z}_k}$. The graviphoton
term also enable us to show that the zero mode contributions to the partition
functions for the D4 and the M5 brane agree.Comment: 26 page
The Structure of the Non-SUSY Baryonic Branch of Klebanov-Strassler

We study the two-dimensional space of supergravity solutions corresponding to
non-supersymmetric deformations of the baryonic branch of Klebanov-Strassler.
By combining analytical methods with a numerical survey of the parameter space,
we find that this solution space includes as limits the softly-broken N=1
solutions of Gubser et al. and those of Dymarsky and Kuperstein. We also
identify a one-dimensional family of solutions corresponding to a natural
non-supersymmetric generalisation of Klebanov-Strassler, and one corresponding
to the limit in which supersymmetry is completely absent, even in the far UV.
For almost all of the parameter space we find indications that much of the
structure of the supersymmetric baryonic branch survives.Comment: 29 pages plus appendices, 11 figure
Half-maximal supergravity in three dimensions: supergeometry,
  differential forms and algebraic structure

The half-maximal supergravity theories in three dimensions, which have local
$SO(8)\xz SO(n)$ and rigid SO(8,n) symmetries, are discussed in a superspace
setting starting from the superconformal theory. The on-shell theory is
obtained by imposing further constraints; it is essentially a non-linear sigma
model that induces a Poincar\'e supergeometry. The deformations of the geometry
due to gauging are briefly discussed. The possible $p$-form field strengths are
studied using supersymmetry and SO(8,n) symmetry. The set of such forms obeying
consistent Bianchi identities constitutes a Lie super co-algebra while the
demand that these identities admit solutions places a further constraint on the
possible representations of SO(8,n) that the forms transform under which can be
easily understood using superspace cohomology. The dual Lie superalgebra can
then be identified as the positive sector of a Borcherds superalgebra that
extends the Lie algebra of the duality group. In addition to the known
$p=2,3,4$ forms, which we construct explicitly, there are five-forms that can
be non-zero in supergravity, while all forms with $p>5$ vanish. It is shown
that some six-forms can have non-trivial contributions at order $\a'$.Comment: 30 pages. References added. Some clarification of the tex
Fubini instantons in curved space

We study Fubini instantons of a self-gravitating scalar field. The Fubini
instanton describes the decay of a vacuum state under tunneling instead of
rolling in the presence of a tachyonic potential. The tunneling occurs from the
maximum of the potential, which is a vacuum state, to any arbitrary state,
belonging to the tunneling without any barrier. We consider two different types
of the tachyonic potential. One has only a quartic term. The other has both the
quartic and quadratic terms. We show that, there exist several kinds of new
O(4)-symmetric Fubini instanton solution, which are possible only if gravity is
taken into account. One type of them has the structure with $Z_2$ symmetry.
This type of the solution is possible only in the de Sitter background. We
discuss on the interpretation of the solutions with $Z_2$ symmetry.Comment: 28 pages, 9 figures. The section 3 was modified, references are
  added, and we discussed on the negative mode problem in the last sectio
Loops, Polytopes and Splines

We uncover an unexpected connection between the physics of loop integrals and
the mathematics of spline functions. One loop integrands are Laplace transforms
of splines. This clarifies the geometry of the associated loop integrals, since
a $n$-node spline has support on an $n$-vertex polyhedral cone. One-loop
integrals are integrals of splines on a hyperbolic slice of the cone, yielding
polytopes in $AdS$ space. Splines thus give a geometrical counterpart to the
rational function identities at the level of the integrand. Spline technology
also allows for a clear, simple, algebraic decomposition of higher point loop
integrals in lower dimensional kinematics in terms of lower point integrals -
e.g. an hexagon integral in 2d kinematics can be written as a sum of scalar
boxes. Higher loops can also be understood directly in terms of splines - they
map onto spline convolutions, leading to an intriguing representation in terms
of hyperbolic simplices integrated over other hyperbolic simplices. We finish
with speculations on the interpretation of one-loop integrals as partition
functions, inspired by the use of splines in counting points in polytopes.Comment: 34 pages. Typos corrected, added reference
Effective state, Hawking radiation and quasi-normal modes for Kerr black
  holes

The non-strictly continuous character of the Hawking radiation spectrum
generates a natural correspondence between Hawking radiation and black hole
(BH) quasi-normal modes (QNM). In this work, we generalize recent results on
this important issue to the framework of Kerr BHs (KBH). We show that also for
the KBH, QNMs can be naturally interpreted in terms of quantum levels. Thus,
the emission or absorption of a particle is in turn interpreted in terms of a
transition between two different levels. At the end of the paper, we also
generalize some concepts concerning the "effective state" of a KBH.Comment: 10 pages, to appear in Journal of High Energy Physic
Rotating black hole hair.

A Kerr black hole sporting cosmic string hair is studied in the context of the abelian Higgs model vortex. It is shown that such a system displays much richer phenomenology than its static Schwarzschild or Reissner-Nordstrom cousins, for example, the rotation generates a near horizon ‘electric’ field. In the case of an extremal rotating black hole, two phases of the Higgs hair are possible: large black holes exhibit standard hair, with the vortex piercing the event horizon. Small black holes on the other hand, exhibit a flux-expelled solution, with the gauge and scalar field remaining identically in their false vacuum state on the event horizon. This solution however is extremely sensitive to confirm numerically, and we conjecture that it is unstable due to a supperradiant mechanism similar to the Kerr-adS instability. Finally, we compute the gravitational back reaction of the vortex, which turns out to be far more nuanced than a simple conical deficit. While the string produces a conical effect, it is conical with respect to a local co-rotating frame, not with respect to the static frame at infinity
Tate Form and Weak Coupling Limits in F-theory

We consider the weak coupling limit of F-theory in the presence of
non-Abelian gauge groups implemented using the traditional ansatz coming from
  Tate's algorithm. We classify the types of singularities that could appear in
the weak coupling limit and explain their resolution. In particular, the weak
coupling limit of SU(n) gauge groups leads to an orientifold theory which
suffers from conifold singulaties that do not admit a crepant resolution
compatible with the orientifold involution. We present a simple resolution to
this problem by introducing a new weak coupling regime that admits
singularities compatible with both a crepant resolution and an orientifold
symmetry. We also comment on possible applications of the new limit to model
building. We finally discuss other unexpected phenomena as for example the
existence of several non-equivalent directions to flow from strong to weak
coupling leading to different gauge groups.Comment: 34 page
Probing the two light Higgs scenario in the NMSSM with a low-mass pseudoscalar.

In this article we propose a simultaneous collider search strategy for a pair of scalar bosons in the NMSSM through the decays of a very light pseudoscalar. The massive scalar has a mass around 126 GeV while the lighter one can have a mass in the vicinity of 98 GeV (thus explaining an apparent LEP excess) or be much lighter. The successive decay of this scalar pair into two light pseudoscalars, followed by leptonic pseudoscalar decays, produces clean multi-lepton final states with small or no missing energy. Furthermore, this analysis offers an alternate leptonic probe for the 126 GeV scalar that can be comparable with the ZZ* search channel. We emphasize that a dedicated experimental search for multi-lepton final states can be an useful probe for this scenario and, in general, for the NMSSM Higgs sector. We illustrate our analysis with two representative benchmark points and show how the LHC configuration with 8 TeV center-of-mass energy and 25 fb−1 of integrated luminosity can start testing this scenario, providing a good determination of the light pseudoscalar mass and a relatively good estimation of the lightest scalar mass
New directions in bipartite field theories.

We perform a detailed investigation of Bipartite Field Theories (BFTs), a general class of 4d N  = 1 gauge theories which are defined by bipartite graphs. This class of theories is considerably expanded by identifying a new way of assigning gauge symmetries to graphs. A new procedure is introduced in order to determine the toric Calabi-Yau moduli spaces of BFTs. For graphs on a disk, we show that the matroid polytope for the corresponding cell in the Grassmannian coincides with the toric diagram of the BFT moduli space. A systematic BFT prescription for determining graph reductions is presented. We illustrate our ideas in infinite classes of BFTs and introduce various operations for generating new theories from existing ones. Particular emphasis is given to theories associated to non-planar graphs
Effective hydrodynamics of black D3-branes.

The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion. We study the system on a fiducial ‘cutoff’ surface: the fluctuating geometry imprints its dynamics on the surface via an induced stress tensor whose conservation encapsulates the hydrodynamical description. For a generic non-extremal D3-brane, as we move our cutoff surface from the asymptotically flat near-boundary region to the near-horizon region, this hydrodynamical system interpolates between a non-conformal relativistic fluid and a non-relativistic incompressible fluid. We also consider the dependence on the deviation from extremality of the D3-branes. In the near-extremal case we recover the description in terms of a conformal relativistic fluid encountered in the AdS/CFT context. We argue that this system allows us therefore to explore the various connections that have hitherto been suggested relating the dynamics of gravitational systems and fluid dynamics. In particular, we go on to show that the blackfold effective field theory approach allows us to capture this hydrodynamical behaviour and moreover subsumes the constructions encountered in the fluid/gravity correspondence and the black hole membrane paradigm, providing thereby a universal language to explore the effective dynamics of black branes
Physics potential of neutrino oscillation experiment with a far detector
  in Oki Island along the T2K baseline

Oki Island is located between Japan and Korea along the Tokai-To-Kamioka
(T2K) baseline. The distance from J-PARC to Oki Island is about 653km, which is
twice that of the T2K experiment (L=295km). When the off-axis angle of the
neutrino beam from J-PARC is 3.0^\circ (2.0^\circ) at Super-Kamiokande (SK),
the off-axis beam (OAB) with 1.4^\circ (0.6^\circ) reaches at Oki Island. We
examine physics case of placing a far detector in Oki Island during the T2K
experimental period. We estimate the matter density profile along the
Tokai-to-Oki baseline by using recent seismological measurements. For a
detector of 100kton fiducial volume and 2.5x10^21 POT (protons on target)
exposure for both \nu_\mu and \bar{\nu}_\mu beams, we find that the mass
hierarchy pattern can be distinguished at 3\sigma level if sin^22theta_rct
\equiv 4|U_{e3}|^2(1-|U_{e3}|^2) \gsim 0.09, by observing the electron-like
CCQE (Charged-Current Quasi Elastic) events. The CP phase in the
Maki-Nakagawa-Sakata lepton flavor mixing matrix, \delta_mns, can be
constrained with \pm 20^\circ. As a reference, we repeat the same analysis by
placing the same detector in Korea at L=1000km and OAB=0.5^\circ (T2KK) and
also by placing it at the SK site (T2K_122). The Tokai-to-Kamioka-OKI (T2KO)
sensitivity to the mass hierarchy is about 1/3 (in \Delta \chi^2_min) of T2KK,
while the sensitivity to the phase \delta_mns is similar between T2KO and T2KK.
The T2K_122 option has almost no sensitivity to the mass hierarchy, and cannot
measure the CP phase except when \delta_mns \sim -90^\circ (90^\circ) for the
normal (inverted) hierarchy.Comment: 35 pages, 15 figure
Extended geometry and gauged maximal supergravity

International audienceWe consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E 7(7). Through the bein for the extended metric we derive dynamical (field-dependent) fluxes taking values in the representations allowed by supersymmetry, and obtain their quadratic constraints from gauge consistency conditions. A covariant generalized Ricci tensor is introduced, defined in terms of a connection for the generalized diffeomorphisms. We show that for any torsionless and metric-compatible generalized connection, the Ricci scalar reproduces the scalar potential of gauged maximal supergravity. We comment on how these results extend to other groups and dimensions
Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)

We calculate the colour-ordered form factor for chiral primary operators
built from J scalar fields of ABJ(M) theory to J scalar final states. We work
in the 't Hooft limit and show that the leading quantum correction is order
lambda squared, where lambda is the 't Hooft coupling. We evaluate this leading
correction using standard Feynman diagrams and dimensional regularization, and
find that the leading divergence is 1/epsilon^2 where the spacetime dimension
is d = 3 - 2 epsilon. We further find that the result respects maximal
transcendentality.Comment: 22 pages. v2 updated references. v3 minor improvements to text,
  version to appear in JHEP. v4 error in ABJ J=2 colour factor corrected. v5
  typos: signs in Feynman rules A.1 and A.2 corrected, typo in (2.15) correcte
Flavored Gauge Mediation, A Heavy Higgs, and Supersymmetric Alignment

We show that the messenger-matter couplings of Flavored Gauge Mediation
Models can generate substantial stop mixing, leading to Higgs masses around 126
GeV with colored superpartners below 2 TeV and even a TeV. These results are
largely independent of the messenger scale. We study the spectra of a few
examples with a single messenger pair coupling dominantly to the top, for
different messenger scales. Flavor constraints in these models are obeyed by
virtue of supersymmetric alignment: the same flavor symmetry that explains
fermion masses dictates the structure of the matter-messenger couplings, and
this structure is inherited by the soft terms. We also present the leading
1-loop and 2-loop contributions to the soft terms for general coupling matrices
in generation space.Comment: 30 pages, 4 figures. Allowed regions of the FGM parameter space
  modified based on corrected expressions for the superpartner masses at the
  messenger scale. A new appendix added with a detailed discussion of the
  derivation of the FGM formulas, based both on the analytic continuation
  method and an explicit two-loop calculation. References adde
Production of J/ψ and Υ mesons in pp collisions at s√=8 TeV

The production of J/ψ and Υ mesons in pp collisions at s√=8 TeV is studied with the LHCb detector. The J/ψ and Υ mesons are reconstructed in the μ + μ − decay mode and the signal yields are determined with a fit to the μ + μ − invariant mass distributions. The analysis is performed in the rapidity range 2. 0 < y < 4. 5 and transverse momentum range 0 < p T < 14 (15) GeV/c of the J/ψ (Υ) mesons. The J/ψ and Υ production cross-sections and the fraction of J/ψ mesons from b-hadron decays are measured as a function of the meson p T and y
Thermal Mass and Plasmino for Strongly Interacting Fermions

We investigate fermion self energy problem in the strongly coupled dense
medium in holographic approach. By working out bottom up models as well as top
down ones we showed that vanishing thermal mass and non-existence of
temperature generated plasmino mode is the universal feature of the strongly
interacting fermion system. We identified that the dual of the bulk Rashiba
effect, which was recently found by the Herzog et.al, is the presence of the
plasmino mode generated by the density.Comment: 20 pages, 14 figure
Dilaton Interactions and the Anomalous Breaking of Scale Invariance of
  the Standard Model

We discuss the main features of dilaton interactions for fundamental and
effective dilaton fields. In particular, we elaborate on the various ways in
which dilatons can couple to the Standard Model and on the role played by the
conformal anomaly as a way to characterize their interactions. In the case of a
dilaton derived from a metric compactification (graviscalar), we present the
structure of the radiative corrections to its decay into two photons, a photon
and a $Z$, two $Z$ gauge bosons and two gluons, together with their
renormalization properties. We prove that, in the electroweak sector, the
renormalization of the theory is guaranteed only if the Higgs is conformally
coupled. For such a dilaton, its coupling to the trace anomaly is quite
general, and determines, for instance, an enhancement of its decay rates into
two photons and two gluons. We then turn our attention to theories containing a
non-gravitational (effective) dilaton, which, in our perturbative analysis,
manifests as a pseudo-Nambu Goldstone mode of the dilatation current ($J_D$).
The infrared coupling of such a state to the two-photons and to the two-gluons
sector, and the corresponding anomaly enhancements of its decay rates in these
channels, is critically analyzed.Comment: Revised version, 42 pages, 5 figure