pinecone/core-2020-05-10-deduplication huggingface dataset:
Fermion Actions extracted from Lattice Super Yang-Mills Theories

We revisit 2D $\mathcal{N}=(2,2)$ super Yang-Mills lattice formulation
(Sugino model) to investigate its fermion action with two (Majorana) fermion
flavors and exact chiral-$U(1)_{R}$ symmetry. We show that the reconcilement of
chiral symmetry and absence of further species-doubling originates in the 4D
clifford algebra structure of the action, where 2D two flavors are spuriously
treated as a single 4D four-spinor with four 4D gamma matrices introduced into
kinetic and Wilson terms. This fermion construction based on the
higher-dimensional clifford algebra is extended to four dimensions in two
manners: (1) pseudo-8D sixteen-spinor treatment of 4D four flavors with eight
8D gamma matrices, (2) pseudo-6D eight-spinor treatment of 4D two flavors with
five out of six 6D gamma matrices. We obtain 4D four-species and two-species
lattice fermions with unbroken subgroup of chiral symmetry and other essential
properties. We discuss their relations to staggered and Wilson twisted-mass
fermions. We also discuss their potential feedback to 4D super Yang-Mills
lattice formulations.Comment: 24 pages; references added, typos correcte
Linearized stability analysis of gravastars in noncommutative geometry

In this work, we find exact gravastar solutions in the context of
noncommutative geometry, and explore their physical properties and
characteristics. The energy density of these geometries is a smeared and
particle-like gravitational source, where the mass is diffused throughout a
region of linear dimension $\sqrt{(\alpha)}$ due to the intrinsic uncertainty
encoded in the coordinate commutator. These solutions are then matched to an
exterior Schwarzschild spacetime. We further explore the dynamical stability of
the transition layer of these gravastars, for the specific case of
$\beta=M^2/\alpha<1.9$, where M is the black hole mass, to linearized
spherically symmetric radial perturbations about static equilibrium solutions.
It is found that large stability regions exist and, in particular, located
sufficiently close to where the event horizon is expected to form.Comment: 6 pages, 3 figure
Natural Baryogenesis from Unnatural Supersymmetry

We demonstrate here that the mini-split version of the Minimal Supersymmetric
Standard Model (MSSM) including R-parity violating couplings naturally provides
all the necessary ingredients for a novel baryogenesis mechanism. The
baryogenesis is triggered by the late decay of a TeV scale bino after its
thermal freezeout. A \mu-term larger than the sfermion masses is necessary for
obtaining sufficient baryon asymmetry. Two example models of direct
baryogenesis and leptogenesis are proposed, with viable parameter spaces
presented. The cosmological conditions for the models--in particular, the
requirements of a long lifetime of bino and sufficient baryon asymmetry--point
towards the mini-split scale of $\sim$ 100-1000 TeV for the sfermion masses.
This provides an independent motivation for mini-split SUSY, along with the
constraints from flavor physics and Higgs mass measurement. We also discuss the
potential multi-pronged search for the signatures of such models, including
those at the Large Hadron Collider (LHC) and the low energy experiments at the
intensity frontier.Comment: 17 pages, 7 figure
One Loop Tests of Higher Spin AdS/CFT

Vasiliev's type A higher spin theories in AdS4 have been conjectured to be
dual to the U(N) or O(N) singlet sectors in 3-d conformal field theories with
N-component scalar fields. We compare the O(N^0) correction to the 3-sphere
free energy F in the CFTs with corresponding calculations in the higher spin
theories. This requires evaluating a regularized sum over one loop vacuum
energies of an infinite set of massless higher spin gauge fields in Euclidean
AdS4. For the Vasiliev theory including fields of all integer spin and a scalar
with Delta=1 boundary condition, we show that the regularized sum vanishes.
This is in perfect agreement with the vanishing of subleading corrections to F
in the U(N) singlet sector of the theory of N free complex scalar fields. For
the minimal Vasiliev theory including fields of only even spin, the regularized
sum remarkably equals the value of F for one free real scalar field. This
result may agree with the O(N) singlet sector of the theory of N real scalar
fields, provided the coupling constant in the Vasiliev theory is identified as
G_N ~ 1/(N-1). Similarly, consideration of the USp(N) singlet sector for N
complex scalar fields, which we conjecture to be dual to the husp(2;0|4)
Vasiliev theory, requires G_N ~ 1/(N+1). We also test the higher spin AdS3/CFT2
conjectures by calculating the regularized sum over one loop vacuum energies of
higher spin fields in AdS3. We match the result with the O(N^0) term in the
central charge of the W_N minimal models; this requires a certain truncation of
the CFT operator spectrum so that the bulk theory contains two real scalar
fields with the same boundary conditions.Comment: 20 pages. v3: minor corrections, version published in JHE
Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors

An algorithm to systematically construct all Calabi-Yau elliptic fibrations
realized as hypersurfaces in a toric ambient space for a given base and gauge
group is described. This general method is applied to the particular question
of constructing SU(5) GUTs with multiple U(1) gauge factors. The basic data
consists of a top over each toric divisor in the base together with
compactification data giving the embedding into a reflexive polytope. The
allowed choices of compactification data are integral points in an auxiliary
polytope. In order to ensure the existence of a low-energy gauge theory, the
elliptic fibration must be flat, which is reformulated into conditions on the
top and its embedding. In particular, flatness of SU(5) fourfolds imposes
additional linear constraints on the auxiliary polytope of compactifications,
and is therefore non-generic. Abelian gauge symmetries arising in toric
F-theory compactifications are studied systematically. Associated to each top,
the toric Mordell-Weil group determining the minimal number of U(1) factors is
computed. Furthermore, all SU(5)-tops and their splitting types are determined
and used to infer the pattern of U(1) matter charges.Comment: 34 pages, 8 figures, 6 tables; v2: references added, improved U(1)
  sca
Quantum Quench and Double Trace Couplings

We consider quantum quench by a time dependent double trace coupling in a
strongly coupled large N field theory which has a gravity dual via the AdS/CFT
correspondence. The bulk theory contains a self coupled neutral scalar field
coupled to gravity with negative cosmological constant. We study the scalar
dynamics in the probe approximation in two backgrounds: AdS soliton and AdS
black brane. In either case we find that in equilibrium there is a critical
phase transition at a {\em negative} value of the double trace coupling
$\kappa$ below which the scalar condenses. For a slowly varying homogeneous
time dependent coupling crossing the critical point, we show that the dynamics
in the critical region is dominated by a single mode of the bulk field. This
mode satisfies a Landau-Ginsburg equation with a time dependent mass, and leads
to Kibble Zurek type scaling behavior. For the AdS soliton the system is
non-dissipative and has $z=1$, while for the black brane one has dissipative
$z=2$ dynamics. We also discuss the features of a holographic model which would
describe the non-equilibrium dynamics around quantum critical points with
arbitrary dynamical critical exponent $z$ and correlation length exponent
$\nu$. These analytical results are supported by direct numerical solutions.Comment: 29 pages, 7 figure
A Novel (2+1)-Dimensional Model of Chiral Symmetry Breaking

We propose a new model of flavour chiral symmetry breaking in a
(2+1)-dimensional defect gauge theory of strongly coupled fermions by
introducing probe D5/anti-D5-flavour branes on the conifold. After working out
the flavour brane embeddings at zero temperature, we thoroughly investigate the
spectra of small fluctuations on the world volume of the flavour branes (meson
spectrum) and conclude that they are free of tachyons. Thus the proposed probe
brane embedding is stable. Moreover, we introduce finite temperature and an
external magnetic field and study the thermodynamics of the resulting
configurations. Namely, we compute the free energies, entropies, heat
capacities and magnetisations. The results are used to establish a detailed
phase diagram of the model. We find that the effect of magnetic catalysis of
chiral symmetry breaking is realised in our model and show that the
meson-melting phase transition coincides with the chiral symmetry breaking
phase transition. Furthermore, we show that the model is in a diamagnetic
phase.Comment: 1+28 pages, 23 figures, PDFTeX, v2: comments and refs. added, version
  accepted for publication by JHE
Edge States: Topological Insulators, Superconductors and QCD Chiral Bags

The dynamics of the magnetic field in a superconducting phase is described by
an effective massive bosonic field theory. If the superconductor is confined in
a domain M with boundary \partial M, the boundary conditions of the
electromagnetic fields are predetermined by physics. They are time-reversal and
also parity invariant for adapted geometry. They lead to edge excitations while
in comparison, the bulk energies have a large gap. A similar phenomenon occurs
for topological insulators where appropriate boundary conditions for the Dirac
Hamiltonian also lead to similar edge states and an 'incompressible bulk'. They
give spin-momentum locking as well. In addition time-reversal and parity
invariance emerge for adapted geometry. Similar edge states appear in QCD bag
models with chiral boundary conditions.Comment: 29 pages, 7 figure
Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4
  Compactifications of String Theory

We associate a Jacobi form over a rank s lattice to N=2, D=4 heterotic string
compactifications which have s Wilson lines at a generic point in the vector
multiplet moduli space. Jacobi forms of index m=1 and m=2 have appeared earlier
in the context of threshold corrections to heterotic string couplings. We
emphasize that higher index Jacobi forms as well as Jacobi forms of several
variables over more generic even lattices also appear and construct models in
which they arise. In particular, we construct an orbifold model which can be
connected to models that give index m=3, 4 or 5 Jacobi forms through the
Higgsing process. Constraints from being a Jacobi form are then employed to get
threshold corrections using only partial information on the spectrum. We apply
this procedure for index m=3, 4 or 5 Jacobi form examples and also for Jacobi
forms over A_2 and A_3 root lattices. Examples with a single Wilson line are
examined in detail and we display the relation of Siegel forms over a
paramodular group \Gamma_m to these models, where \Gamma_m is associated with
the T-duality group of the models we study. Finally, results on the heterotic
string side are used to clarify the linear mapping of vector multiplet moduli
to Type IIA duals without using the one-loop cubic part of the prepotential on
the Type II side, and also to give predictions for the geometry of the dual
Calabi-Yau manifolds.Comment: 55 page
Very Light Charginos and Higgs Decays

We explore modifications to the loop-induced Higgs couplings h\gamma\gamma\
and h\gamma Z from light charginos in the Minimal Supersymmetric Standard
Model. When the lightest chargino mass is above the naive LEP bound of order
100 GeV the effects are modest, with deviations in the decay branching ratios
typically less than 15% from the Standard Model predictions. However, if the
charginos are lighter than 100 GeV, more dramatic alterations to these
couplings are possible as a consequence of the rise of the one loop form
factor. For example, the diphoton signal strength can be enhanced by as much as
70% compared to the Standard Model value. We scrutinize in detail the existing
LEP, Tevatron, and LHC searches and present a scenario in which a very light
chargino with a mass as light as half the Higgs mass is hidden at LEP and is
allowed by all direct collider constraints and electroweak precision tests. The
scenario has a sneutrino LSP with a macroscopic decay length of order 10-100
cm. We outline potential search strategies to test this scenario at the LHC.Comment: 14 pages, 7 figure
Electroweak and Conformal Symmetry Breaking by a Strongly Coupled Hidden
  Sector

The LHC and other experiments show so far no sign of new physics and
long-held beliefs about naturalness should be critically reexamined. We discuss
therefore in this paper a model with a combined breaking of conformal and
electroweak symmetry by a strongly coupled hidden sector. Even though the
conformal symmetry is anomalous, this may still provide an explanation of the
smallness of electroweak scale compared to the Planck scale. Specifically we
start from a classically conformal model, in which a strongly coupled hidden
sector undergoes spontaneous chiral symmetry breaking. A coupling via a real
scalar field transmits the breaking scale to the Standard Model Higgs and
triggers electroweak symmetry breaking. The model contains dark matter
candidates in the form of dark pions, whose stability is being guaranteed by
the flavor symmetry of hidden quark sector. We study its relic abundance and
direct detection prospects with the Nambu-Jona-Lasinio method and discuss the
phase transition in the dark sector as well as in the electroweak sector.Comment: 27 Pages, 13 Figures, DM-DM-S coupling is rescaled with wave function
  renormalization of DM. Changes in thermal average cross-section and to
  Figure.8. Phenomenology and conclusion remain the same. Matches published
  versio
All one-loop NMHV gluon amplitudes in N=1 SYM

We compute the next-to-maximally-helicity-violating one-loop n-gluon
amplitudes in N=1 super-Yang-Mills theory. These amplitudes contain three
negative-helicity gluons and an arbitrary number of positive-helicity gluons,
and constitute the first infinite series of amplitudes beyond the simplest,
MHV, amplitudes. We assemble ingredients from the N=4 NMHV tree super-amplitude
into previously unwritten double cuts and use the spinor integration technique
to calculate all bubble coefficients. We also derive the missing box
coefficients from quadruple cuts. Together with the known formula for
three-mass triangles, this completes the set of NMHV one-loop master integral
coefficients in N=1 SYM. To facilitate further use of our results, we provide
their Mathematica implementation.Comment: 49 pages, 12 figures, 2 Mathematica files attached: N1chiralAll.nb,
  Ammppmppp.nb; v2 minor corrections, journal versio
Implications of LHC search results on the W boson mass prediction in the
  MSSM

We present the currently most precise W boson mass (M_W) prediction in the
Minimal Supersymmetric Standard Model (MSSM) and discuss how it is affected by
recent results from the LHC. The evaluation includes the full one-loop result
and all known higher order corrections of SM and SUSY type. We show the MSSM
prediction in the M_W-m_t plane, taking into account constraints from Higgs and
SUSY searches. We point out that even if stops and sbottoms are heavy,
relatively large SUSY contributions to M_W are possible if either charginos,
neutralinos or sleptons are light. In particular we analyze the effect on the
M_W prediction of the Higgs signal at about 125.6 GeV, which within the MSSM
can in principle be interpreted as the light or the heavy CP-even Higgs boson.
For both interpretations the predicted MSSM region for M_W is in good agreement
with the experimental measurement. We furthermore discuss the impact of
possible future LHC results in the stop sector on the M_W prediction,
considering both the cases of improved limits and of the detection of a scalar
top quark.Comment: 28 pages, 8 figure
Critical Behaviour of the Fuzzy Sphere

We study a multi-matrix model whose low temperature phase is a fuzzy sphere
that undergoes an evaporation transition as the temperature is increased. We
investigate finite size scaling of the system as the limiting temperature of
stability of the fuzzy sphere phase is approached. We find on theoretical
grounds that the system should obey scaling with specific heat exponent
\alpha=1/2, shift exponent \bar \lambda=4/3 and that the peak in the specific
heat grows with exponent \bar \omega=2/3. Using hybrid Monte Carlo simulations
we find good collapse of specific heat data consistent with a scaling ansatz
which give our best estimates for the scaling exponents as \alpha=0.50 \pm
0.01,\bar \lambda=1.41 \pm 0.08 and \bar \omega=0.66 \pm 0.08 .Comment: 30 pages, 10 figure
A Holographic Model of the Kondo Effect

We propose a model of the Kondo effect based on the Anti-de Sitter/Conformal
Field Theory (AdS/CFT) correspondence, also known as holography. The Kondo
effect is the screening of a magnetic impurity coupled anti-ferromagnetically
to a bath of conduction electrons at low temperatures. In a (1+1)-dimensional
CFT description, the Kondo effect is a renormalization group flow triggered by
a marginally relevant (0+1)-dimensional operator between two fixed points with
the same Kac-Moody current algebra. In the large-N limit, with spin SU(N) and
charge U(1) symmetries, the Kondo effect appears as a (0+1)-dimensional
second-order mean-field transition in which the U(1) charge symmetry is
spontaneously broken. Our holographic model, which combines the CFT and large-N
descriptions, is a Chern-Simons gauge field in (2+1)-dimensional AdS space,
AdS3, dual to the Kac-Moody current, coupled to a holographic superconductor
along an AdS2 subspace. Our model exhibits several characteristic features of
the Kondo effect, including a dynamically generated scale, a resistivity with
power-law behavior in temperature at low temperatures, and a spectral flow
producing a phase shift. Our holographic Kondo model may be useful for studying
many open problems involving impurities, including for example the Kondo
lattice problem.Comment: 42 pages, 10 eps files in 6 figure
Kaluza-Klein reduction of relativistic fluids and their gravity duals

We study the hydrodynamics of relativistic fluids with several conserved
global charges (i.e., several species of particles) by performing a
Kaluza-Klein dimensional reduction of a neutral fluid on a N-torus. Via
fluid/gravity correspondence, this allows us to describe the long-wavelength
dynamics of black branes with several Kaluza-Klein charges. We obtain the
equation of state and transport coefficients of the charged fluid directly from
those of the higher-dimensional neutral fluid. We specialize these results for
the fluids dual to Kaluza-Klein black branes.Comment: v2, Important additions: (1) discussion of the first law for the
  reduced fluid, (2) transport coefficients in terms of the temperature and the
  chemical potentials. Some comments and references added. 24 page
Real-Virtual contributions to the inclusive Higgs cross-section at N3LO

We compute the contributions to the N3LO inclusive Higgs boson cross-section
from the square of one-loop amplitudes with a Higgs boson and three QCD partons
as external states. Our result is a Taylor expansion in the dimensional
regulator epsilon, where the coefficients of the expansion are analytic
functions of the ratio of the Higgs boson mass and the partonic center of mass
energy and they are valid for arbitrary values of this ratio. We also perform a
threshold expansion around the limit of soft-parton radiation in the final
state. The expressions for the coefficients of the threshold expansion are
valid for arbitrary values of the dimension. As a by-product of the threshold
expansion calculation, we have developed a soft expansion method at the
integrand level by identifying the relevant soft and collinear regions for the
loop-momentum.Comment: 46 page
Investigating the near-criticality of the Higgs boson

We extract from data the parameters of the Higgs potential, the top Yukawa
coupling and the electroweak gauge couplings with full 2-loop NNLO precision,
and we extrapolate the SM parameters up to large energies with full 3-loop NNLO
RGE precision. Then we study the phase diagram of the Standard Model in terms
of high-energy parameters, finding that the measured Higgs mass roughly
corresponds to the minimum values of the Higgs quartic and top Yukawa and the
maximum value of the gauge couplings allowed by vacuum metastability. We
discuss various theoretical interpretations of the near-criticality of the
Higgs mass.Comment: 43 pages, 7 figures. v3: updated with latest Higgs and top mass,
  corrected NNLO result for g2 and g
Search for the doubly charmed baryon Xi_cc^+

A search for the doubly charmed baryon Ξ+cc in the decay mode Ξ+cc→Λ+cK−π+ is performed with a data sample, corresponding to an integrated luminosity of 0.65 fb−1, of pp collisions recorded at a centre-of-mass energy of 7 TeV. No significant signal is found in the mass range 3300-3800 MeV/c 2. Upper limits at the 95% confidence level on the ratio of the Ξ+cc production cross-section times branching fraction to that of the Λ+c , R, are given as a function of the Ξ+cc mass and lifetime. The largest upper limits range from R < 1.5 × 10−2 for a lifetime of 100 fs to R < 3.9 × 10−4 for a lifetime of 400 fs
Breaking conformal invariance- Large N Chern-Simons theory coupled to
  massive fundamental fermions

We analyze the theory of massive fermions in the fundamental representation
coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large
N, large K limits where \lambda=N/K is kept fixed. Following arXiv:1110.4386 we
obtain the solution of a Schwinger-Dyson equation for the two point function,
the exact expression for the fermion propagator and the partition function at
finite temperature. We prove that in the large K limit there exists an infinite
set of classically conserved high spin currents also when a mass is introduced,
breaking the conformal invariance. In analogy to the seminal work of 't Hooft
on two dimensional QCD, we write down a Bethe-Salpeter equation for the wave
function of a "quark anti-quark" bound state. We show that unlike the two
dimensional QCD case, the three dimensional Chern-Simons theory does not admit
a confining spectrum.Comment: 17 pages,2 figures, comments and acknowledgements adde
BPS spectrum of Argyres-Douglas theory via spectral network

We study the BPS spectrum of four-dimensional $\mathcal{N}=2$ superconformal
field theory of Argyres-Douglas type, obtained via twisted compactification of
six-dimensional $A_{N-1}$ $(2,0)$ theory on a sphere with an irregular
puncture, by using spectral networks. We give strong evidence of the
equivalence of $\mathcal{N}=2$ superconformal field theories from
six-dimensional theories of different ranks by systematically comparing the
chamber structure and wall-crossing phenomena.Comment: 56 pages, 150+ color figures; v2: several minor change
The Nelson-Seiberg theorem revised

The well-accepted Nelson-Seiberg theorem relates R-symmetries to
supersymmetry (SUSY) breaking vacua, and provides a guideline for SUSY model
building which is the most promising physics beyond the Standard Model. In the
case of Wess-Zumino models with perturbative superpotentials, we revise the
theorem to a combined necessary and sufficient condition for SUSY breaking
which can be easily checked before solving the vacuum. The revised theorem
provides a powerful tool to construct either SUSY breaking or SUSY vacua, and
offers many practicable applications in low energy SUSY model building and
string phenomenology.Comment: 5 pages; v2: abstract and introduction revised; v3: condition of
  perturbative superpotentials added, JHEP published versio