pinecone/core-2020-05-10-deduplication huggingface dataset:
Yukawa bound states of a large number of fermions

We consider the bound state problem for a field theory that contains a Dirac fermion χ that Yukawa couples to a (light) scalar field ϕ . We are interested in bound states with a large number N of χ particles. A Fermi gas model is used to numerically determine the dependence of the radius R of these bound states on N and also the dependence of the binding energy on N . Since scalar interactions with relativistic χ ’s are suppressed two regimes emerge. For modest values of N the state is composed of non-relativistic χ particles. In this regime as N increases R decreases. Eventually the core region becomes relativistic and the size of the state starts to increase as N increases. As a result, for fixed Yukawa coupling and χ mass, there is a minimum sized state that occurs roughly at the value of N where the core region first becomes relativistic. We also compute an elastic scattering form factor that can be relevant for direct detection if the dark matter is composed of such χ particles
Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits
  in ${\cal N}=4$ SYM and matrix models

We find new vacuum solutions of ${\cal N}=4$ super-Yang-Mills with totally
anti-symmetric cubic soft SUSY breaking terms, or equivalently solutions of the
IKKT matrix model of type $\mathbb{R}^4_\theta \times {\cal K}_N$ with flux
terms. The solutions can be understood in terms of 4- and 6- dimensional fuzzy
branes ${\cal K}_N$ in extra dimensions, describing self-intersecting
projections of compact flag manifolds of $SU(3)$. The 6-dimensional solutions
provide a 6-fold covering of the internal space near the origin, while the
4-dimensional branes have a triple self-intersections spanning all 6 internal
directions. The solutions have lower energy than the trivial vacuum, and we
prove that there are no negative modes. The massless modes are identified
explicitly. In particular there are chiral fermionic zero modes, linking the
coincident sheets with opposite flux at the origin. They have a $\mathbb{Z}_3$
family symmetry, originating from the Weyl group rotations.Comment: 28+8 pages, 2 figures. V2: improved discussion, published versio
6d Conformal matter.

A single M5-brane probing G, an ADE-type singularity, leads to a system which has G × G global symmetry and can be viewed as “bifundamental” (G, G) matter. For the A N series, this leads to the usual notion of bifundamental matter. For the other cases it corresponds to a strongly interacting (1, 0) superconformal system in six dimensions. Similarly, an ADE singularity intersecting the Hořava-Witten wall leads to a superconformal matter system with E 8 × G global symmetry. Using the F-theory realization of these theories, we elucidate the Coulomb/tensor branch of (G, G′) conformal matter. This leads to the notion of fractionalization of an M5-brane on an ADE singularity as well as fractionalization of the intersection point of the ADE singularity with the Hořava-Witten wall. Partial Higgsing of these theories leads to new 6d SCFTs in the infrared, which we also characterize. This generalizes the class of (1, 0) theories which can be perturbatively realized by suspended branes in IIA string theory. By reducing on a circle, we arrive at novel duals for 5d affine quiver theories. Introducing many M5-branes leads to large N gravity duals
Towards a Supersymmetric Description of the Fermi Galactic Center Excess

We attempt to build a model that describes the {\it Fermi} galactic gamma-ray
excess (FGCE) within a UV-complete Supersymmetric framework; we find this to be
highly non-trivial. At the very least a successful Supersymmetric explanation
must have several important ingredients in order to fit the data and satisfy
other theoretical and experimental constraints. Under the assumption that a
{\it single} annihilation mediator is responsible for both the observed relic
density as well as the FGCE, we show that the requirements are not easily
satisfied in many TeV-scale SUSY models, but can be met with some model
building effort in the general NMSSM with $\sim 10$ parameters beyond the MSSM.
We find that the data selects a particular region of the parameter space with a
mostly singlino lightest Supersymmetric particle and a relatively light CP-odd
Higgs boson that acts as the mediator for dark matter annihilation. We study
the predictions for various observables within this parameter space, and find
that searches for this light CP-odd state at the LHC, as well as searches for
the direct detection of dark matter, are likely to be quite challenging. It is
possible that a signature could be observed in the flavor sector; however,
indirect detection remains the best probe of this scenario.Comment: 43 pages, 16 figure
Stability and symmetry breaking in the general three-Higgs-doublet model

Stability, electroweak symmetry breaking, and the stationarity equations of
the general three-Higgs-doublet model (3HDM) where all doublets carry the same
hypercharge are discussed in detail. Employing the bilinear formalism the study
of the 3HDM potential turns out to be straightforward. For the case that the
potential leads to the physically relevant electroweak symmetry breaking we
present explicit formulae for the masses of the physical Higgs bosons.Comment: 21 pages. Revised version with errors corrected with respect to the
  stability and stationarity equations for the case of the bilinear's matrix of
  rank 1. Ensueing errors in Chapter 7 and appendix B are also correcte
A note on asymptotic symmetries and soft-photon theorem

We use the asymptotic data at conformal null-infinity to formulate Weinberg’s soft-photon theorem for Abelian gauge theories with massless charged particles. We show that the angle-dependent gauge transformations at are not merely a gauge redundancy, instead they are genuine symmetries of the radiative phase space. In the presence of these symmetries, Poisson bracket between gauge potentials is not well-defined. This does not pose an obstacle for the quantization of the radiative phase space, which proceeds by treating the conjugate electric field as the fundamental variable. Denoting by G + $$ {\mathcal{G}}_{+} $$ and G − $$ {\mathcal{G}}_{-} $$ as the group of gauge transformations at and respectively, Strominger has shown that a certain diagonal subgroup G diag ⊂ G + × G − $$ {\mathcal{G}}_{\mathrm{diag}}\subset {\mathcal{G}}_{+}\times {\mathcal{G}}_{-} $$ is the symmetry of the S-matrix and Weinberg’s soft-photon theorem is the corresponding Ward identity. We give a systematic derivation of this result for Abelian gauge theories with massless charged particles. Our derivation is a slight generalization of the existing derivations since it is applicable even when the bulk spacetime is not exactly flat, but is only “almost” Minkowskian
Enhancing $thj$ Production from Top-Higgs FCNC Couplings

In this paper, we study the single top and Higgs associated production $pp
\to thj$ in the presence of top-Higgs FCNC couplings($\kappa_{tqh}, q=u,c$) at
the LHC. Under the current constraints, we find that the cross section of $pp
\to thj$ can be sizably enhanced in comparison with the SM predictions at 8 and
14 TeV LHC. We also find that the full cross section of $pp \to thj$ with
$\kappa_{tch}$ is larger than the resonant cross section of $pp \to t\bar{t}
\to thj$ by a factor 1.16 at 8 TeV LHC and 1.12 at 14 TeV LHC, respectively. We
further explore the observability of top-Higgs FCNC couplings through $pp \to
t(\to b\ell^{+} \nu_{\ell}) h( \to \gamma\gamma) j$ and find that the branching
ratios $Br(t\to qh)$, $Br(t \to uh)$ and $Br(t \to ch)$ can be respectively
probed to $0.12\%,~0.23\%$ and $~0.26\%$ at $3\sigma$ sensitivity at 14 TeV LHC
with ${\cal L} =3000$ fb$^{-1}$.Comment: 15 pages, 7 figures, references and discussions added, accepted by
  JHE
NLO QCD corrections to Single Top and W associated production at the LHC
  with forward detector acceptances

In this paper we study the Single Top and W boson associated photoproduction
via the main reaction $\rm pp\rightarrow p\gamma p\rightarrow pW^{\pm}t+Y$ at
the 14 TeV Large Hadron Collider (LHC) up to next-to-leading order (NLO) QCD
level assuming a typical LHC multipurpose forward detector. We use the
Five-Flavor-Number Schemes (5FNS) with massless bottom quark assumption in the
whole calculation. Our results show that the QCD NLO corrections can reduce the
scale uncertainty. The typical K-factors are in the range of 1.15 to 1.2 which
lead to the QCD NLO corrections of 15$%$ to 20$%$ correspond to the
leading-order (LO) predictions with our chosen parameters.Comment: 41pages, 12figures. arXiv admin note: text overlap with
  arXiv:1106.2890 by other author
The Amplituhedron from Momentum Twistor Diagrams

We propose a new diagrammatic formulation of the all-loop scattering
amplitudes/Wilson loops in planar N=4 SYM, dubbed the "momentum-twistor
diagrams". These are on-shell-diagrams obtained by gluing trivalent black and
white vertices defined in momentum twistor space, which, in the reduced diagram
case, are known to be related to diagrams in the original twistor space. The
new diagrams are manifestly Yangian invariant, and they naturally represent
factorization and forward-limit contributions in the all-loop BCFW recursion
relations in momentum twistor space, in a fashion that is completely different
from those in momentum space. We show how to construct and evaluate
momentum-twistor diagrams, and how to use them to obtain tree-level amplitudes
and loop-level integrands; in particular for the latter we identify an isolated
bubble-structure for each loop variable, arising from a forward limit, or
entangled removal of particles. From a given diagram one can directly read off
the C, D matrices via a generalized "boundary measurement"; this in turn
determines a cell in the amplituhedron associated with the amplitude, and our
diagrammatic representations of the amplitude can provide triangulations of the
amplituhedron with generally very intricate geometries. To demonstrate the
computational power of the formalism, we give explicit results for general
two-loop integrands, and the cells of the complete amplituhedron for two-loop
MHV amplitudes.Comment: 39 pages, 34 figure
Defect networks and supersymmetric loop operators.

We consider topological defect networks with junctions in A N − 1 Toda CFT and the connection to supersymmetric loop operators in   N=2  theories of class   S  on a four-sphere. Correlation functions in the presence of topological defect networks are computed by exploiting the monodromy of conformal blocks, generalising the notion of a Verlinde operator. Concentrating on a class of topological defects in A 2 Toda theory, we find that the Verlinde operators generate an algebra whose structure is determined by a set of generalised skein relations that encode the representation theory of a quantum group. In the second half of the paper, we explore the dictionary between topological defect networks and supersymmetric loop operators in the   N=2∗  theory by comparing to exact localisation computations. In this context, the the generalised skein relations are related to the operator product expansion of loop operators
Superconformal Quantum Mechanics and the Discrete Light-Cone
  Quantisation of N=4 SUSY Yang-Mills

We study the quantum mechanical sigma model arising in the discrete
light-cone quantisation of N=4 supersymmetric Yang-Mills theory. The target
space is a certain torus fibration over a scale-invariant special Kahler
manifold. We show that the expected SU(1,1|4) light-cone superconformal
invariance of the N=4 theory emerges in a limit where the volume of the fibre
goes to zero and give an explicit construction of the generators. The
construction given here yields a large new family of superconformal quantum
mechanical models with SU(1,1|4) invariance.Comment: 32 page
N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological
  Black Hole

We construct four-dimensional N=4 super-Yang-Mills theories on a conic sphere
with various background R-symmetry gauge fields. We study free energy and
supersymmetric Renyi entropy using heat kernel method as well as localization
technique. We find that the universal contribution to the partition function in
the free field limit is the same as that in the strong coupling limit, which
implies that it may be protected by supersymmetry. Based on the fact that, the
conic sphere can be conformally mapped to $S^1\times H^3$ and the R-symmetry
background fields can be supported by the R-charges of black hole, we propose
that the holographic dual of these theories are five-dimensional,
supersymmetric STU topological black holes. We demonstrate perfect agreement
between N=4 super-Yang-Mills theories in the planar limit and the STU
topological black holes.Comment: 1+48 pages, v2:typo fixed+references adde
Reduced modified Chaplygin gas cosmology

In this paper, we study cosmologies containing the reduced modified Chaplygin
gas (RMCG) fluid which is reduced from the modified Chaplygin gas
$p=A\rho-B\rho^{-\alpha}$ for the value of $\alpha=-1/2$. In this special case,
dark cosmological models can be realized for different values of model
parameter $A$. We investigate the viabilities of these dark cosmological models
by discussing the evolutions of cosmological quantities and using the currently
available cosmic observations. It is shown that the special RMCG model ($A=0$
or $A=1$) which unifies the dark matter and dark energy should be abandoned.
For $A=1/3$, RMCG which unifies the dark energy and dark radiation is the
favorite model according to the objective Akaike information criteria. In the
case of $A<0$, RMCG can achieve the features of the dynamical quintessence and
phantom models, where the evolution of the universe is not sensitive to the
variation of model parameters.Comment: 18 pages,9 figure
MFV reductions of MSSM parameter space

The 100+ free parameters of the minimal supersymmetric standard model (MSSM) make it computationally difficult to compare systematically with data, motivating the study of specific parameter reductions such as the cMSSM and pMSSM. Here we instead study the reductions of parameter space implied by using minimal flavour violation (MFV) to organise the R-parity conserving MSSM, with a view towards systematically building in constraints on flavour-violating physics. Within this framework the space of parameters is reduced by expanding soft supersymmetry-breaking terms in powers of the Cabibbo angle, leading to a 24-, 30- or 42-parameter framework (which we call MSSM-24, MSSM-30, and MSSM-42 respectively), depending on the order kept in the expansion. We provide a Bayesian global fit to data of the MSSM-30 parameter set to show that this is manageable with current tools. We compare the MFV reductions to the 19-parameter pMSSM choice and show that the pMSSM is not contained as a subset. The MSSM-30 analysis favours a relatively lighter TeV-scale pseudoscalar Higgs boson and tan β ∼ 10 with multi-TeV sparticles
Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N$^{3}$LO

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N$^{3}$LO) in perturbative QCD
Heterotic effective action and duality symmetries revisited

The dimensional reduction of heterotic supergravity with gauge fields truncated to the Cartan subalgebra exhibits a continuous O(d, d + 16; ℝ) global symmetry, related to the O(d, d + 16; ℤ) T-duality of heterotic strings on a d-torus. The O(d, d + 16; ℝ) symmetry is not present, however, if the supergravity reduction is done including the full set of E 8 × E 8 or SO(32) gauge fields. We analyze which duality symmetries are realized to all orders in α ′ in the proper effective field theories for the massless string states. We find a universal O(d, d; ℝ) symmetry, also predicted by double field theory. We confirm this by giving a novel formulation of the dimensionally reduced supergravity in terms of O(d, d) multiplets, and we discuss cases of symmetry enhancement.Deutsche Forschungsgemeinschaft (DFG Heisenberg fellowship)India. Dept. of Atomic Energy (DAE project 12-R&D-HRI-5.02-0303)India. Dept. of Science and Technology (J.C. Bose fellowship)United States. Dept. of Energy (Cooperative research agreement DE-FG02-05ER41360
Poincare Series, 3D Gravity and CFT Spectroscopy

Modular invariance strongly constrains the spectrum of states of two
dimensional conformal field theories. By summing over the images of the modular
group, we construct candidate CFT partition functions that are modular
invariant and have positive spectrum. This allows us to efficiently extract the
constraints on the CFT spectrum imposed by modular invariance, giving
information on the spectrum that goes beyond the Cardy growth of the asymptotic
density of states. Some of the candidate modular invariant partition functions
we construct have gaps of size (c-1)/12, proving that gaps of this size and
smaller are consistent with modular invariance. We also revisit the partition
function of pure Einstein gravity in AdS3 obtained by summing over geometries,
which has a spectrum with two unphysical features: it is continuous, and the
density of states is not positive definite. We show that both of these can be
resolved by adding corrections to the spectrum which are subleading in the
semi-classical (large central charge) limit.Comment: 36 pages, 2 figure
Journey to the Center of the Fuzzball

We study two-charge fuzzball geometries, with attention to the use of the
proper duality frame. For zero angular momentum there is an onion-like
structure, and the smooth D1-D5 geometries are not valid for typical states.
Rather, they are best approximated by geometries with stringy sources, or by a
free CFT. For non-zero angular momentum we find a regime where smooth fuzzball
solutions are the correct description. Our analysis rests on the comparison of
three radii: the typical fuzzball radius, the entropy radius determined by the
microscopic theory, and the breakdown radius where the curvature becomes large.
We attempt to draw more general lessons.Comment: 22 pages, 1 figur
Large-N transitions of the connectivity index.

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such changes signal a rearrangement of correlations of different degrees of freedom across spacetime and field theory space. In this paper we quantify such processes by studying the behavior of entanglement entropy in a specific example: the RG flow in the Coulomb branch of large-N superconformal field theories. We find evidence that the transition from the non-separable phase of the Higgsed gauge theory in the UV to the separable phase of deformed decoupled CFTs in the IR exhibits sharp features in the middle of the RG flow in the large-N limit. The entanglement entropy on a sphere with radius ℓ exhibits the formation of a separatrix on the co-dimension-two Ryu-Takayanagi surface in multi-centered brane geometries above a critical value of ℓ. We discuss how other measures of entanglement and separability based on the relative quantum entropy and quantum mutual information might detect such transitions between non-separable and separable phases and how they would help describe some of the key properties of the IR physics of such flows
1-loop Color structures and sunny diagrams

Recently the space of tree level color structures for gluon scattering was
determined in arXiv:1403.6837 together with its transformation properties under
permutations. Here we generalize the discussion to loops, demonstrating a
reduction of an arbitrary color diagram to its vacuum skeleton plus rays. For
1-loop there are no residual relations and we determine the space of color
structures both diagrammatically and algebraically in terms of certain sunny
diagrams. We present the generating function for the characteristic polynomials
and a list of irreducible representations for $3 \le n \le 9$ external legs.
Finally we present a new proof for the 1-loop shuffle relations based on the
cyclic shuffle and split operations.Comment: 12 pages, v2: typo corrected in Table
Mass-deformed T N as a linear quiver

Journal of High Energy Physics 2015.2 (2015): 089 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)The TN theory is a non-Lagrangian theory with SU(N)3 flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes TN −1 theory coupled to an SU(N −1) vector multiplet together with N fundamentals. This implies that when two of SU(N)’s are both broken to U(1)N −1, the theory becomes a linear quiver. We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general puncturesThe work of HH is supported by the REA grant agreement PCIG10-GA-2011-304023 from the People Programme of FP7 (Marie Curie Action), the grant FPA2012-32828 from the MINECO, the ERC Advanced Grant SPLE under contract ERC-2012-ADG-20120216-320421 and the grant SEV-2012-0249 of the “Centro de Excelencia Severo Ochoa” Programme. The work of YT is supported in part by JSPS Grant-in-Aid for Scientific Research No. 25870159, and in part by WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo. The work of KY is supported in part by NSF Grant PHY-096944
Partial Supergravity Breaking and the Effective Action of Consistent
  Truncations

We study vacua of N = 4 half-maximal gauged supergravity in five dimensions
and determine crucial properties of the effective theory around the vacuum. The
main focus is on configurations with exactly two broken supersymmetries, since
they frequently appear in consistent truncations of string theory and
supergravity. Evaluating one-loop corrections to the Chern-Simons terms we find
necessary conditions to ensure that a consistent truncation also gives rise to
a proper effective action of an underlying more fundamental theory. To obtain
concrete examples, we determine the N=4 action of M-theory on six-dimensional
SU(2)-structure manifolds with background fluxes. Calabi-Yau threefolds with
vanishing Euler number are examples of SU(2)-structure manifolds that yield N=2
Minkowski vacua. We find that that one-loop corrections to the Chern-Simons
terms vanish trivially and thus do not impose constraints on identifying
effective theories. This result is traced back to the absence of isometries on
these geometries. Examples with isometries arise from type IIB supergravity on
squashed Sasaki-Einstein manifolds. In this case the one-loop gauge
Chern-Simons terms vanish due to non-trivial cancellations, while the one-loop
gravitational Chern-Simons terms are non-zero.Comment: 44 pages, v2: minor changes, references adde