pinecone/core-2020-05-10-deduplication huggingface dataset:
Bounds on 4D Conformal and Superconformal Field Theories

We derive general bounds on operator dimensions, central charges, and OPE
coefficients in 4D conformal and N=1 superconformal field theories. In any CFT
containing a scalar primary phi of dimension d we show that crossing symmetry
of <phi phi phi phi> implies a completely general lower bound on the central
charge c >= f_c(d). Similarly, in CFTs containing a complex scalar charged
under global symmetries, we bound a combination of symmetry current two-point
function coefficients tau^{IJ} and flavor charges. We extend these bounds to
N=1 superconformal theories by deriving the superconformal block expansions for
four-point functions of a chiral superfield Phi and its conjugate. In this case
we derive bounds on the OPE coefficients of scalar operators appearing in the
Phi x Phi* OPE, and show that there is an upper bound on the dimension of Phi*
Phi when dim(Phi) is close to 1. We also present even more stringent bounds on
c and tau^{IJ}. In supersymmetric gauge theories believed to flow to
superconformal fixed points one can use anomaly matching to explicitly check
whether these bounds are satisfied.Comment: 47 pages, 9 figures; V2: small corrections and clarification
Higher Spin Black Holes

We study classical solutions of three dimensional higher spin gravity in the
Chern-Simons formulation. We find solutions that generalize the BTZ black hole
and carry spin-3 charge. The black hole entropy formula yields a result for the
asymptotic growth of the partition function at finite spin-3 chemical
potential. Along the way, we develop technology for computing AdS/CFT
correlation functions involving higher spin operators.Comment: 28 pages, harvmac, no figures v4: corrected statement about
  asymptotic boundary behavior, new appendix with example of obtaining black
  hole thermodynamics from integrability v5: sign in eq 4.7 and 4.9 correcte
Two experiments for the price of one? -- The role of the second
  oscillation maximum in long baseline neutrino experiments

We investigate the quantitative impact that data from the second oscillation
maximum has on the performance of wide band beam neutrino oscillation
experiments. We present results for the physics sensitivities to standard three
flavor oscillation, as well as results for the sensitivity to non-standard
interactions. The quantitative study is performed using an experimental setup
similar to the Fermilab to DUSEL Long Baseline Neutrino Experiment (LBNE). We
find that, with the single exception of sensitivity to the mass hierarchy, the
second maximum plays only a marginal role due to the experimental difficulties
to obtain a statistically significant and sufficiently background-free event
sample at low energies. This conclusion is valid for both water Cherenkov and
liquid argon detectors. Moreover, we confirm that non-standard neutrino
interactions are very hard to distinguish experimentally from standard
three-flavor effects and can lead to a considerable loss of sensitivity to
\theta_{13}, the mass hierarchy and CP violation.Comment: RevTex 4.1, 23 pages, 10 figures; v2: Typos corrected, very minor
  clarifications; matches published version; v3: Fixed a typo in the first
  equation in sec. III
Intertwining Relations for the Deformed D1D5 CFT

The Higgs branch of the D1D5 system flows in the infrared to a
two-dimensional N=(4,4) SCFT. This system is believed to have an "orbifold
point" in its moduli space where the SCFT is a free sigma model with target
space the symmetric product of copies of four-tori; however, at the orbifold
point gravity is strongly coupled and to reach the supergravity point one needs
to turn on the four exactly marginal deformations corresponding to the blow-up
modes of the orbifold SCFT. Recently, technology has been developed for
studying these deformations and perturbing the D1D5 CFT off its orbifold point.
We present a new method for computing the general effect of a single
application of the deformation operators. The method takes the form of
intertwining relations that map operators in the untwisted sector before
application of the deformation operator to operators in the 2-twisted sector
after the application of the deformation operator. This method is
computationally more direct, and may be of theoretical interest. This line of
inquiry should ultimately have relevance for black hole physics.Comment: latex, 23 pages, 3 figure
Refined test of AdS4/CFT3 correspondence for N=2,3 theories

We investigate the superconformal indices for the Chern-Simons-matter
theories proposed for M2-branes probing the cones over N^{010}/Z_k, Q^{111},
M^{32} with N=2,3 supersymmetries and compare them with the corresponding dual
gravity indices. For N^{010}, we find perfect agreements. In addition, for
N^{010}/Z_k, we also find an agreement with the gravity index including the
contributions from two types of D6-branes wrapping RP^3. For Q^{111}, we find
that the model obtained by adding fundamental flavors to the N=6 theory has the
right structure to be the correct model. For M^{32}, we find the matching with
the gravity index modulo contributions from peculiar saddle points.Comment: 35 pages, 1 figure, v2: added references and comment
Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in
  string theory

We consider IIA compactifications on solvmanifolds with O6/D6 branes and
study the conditions for obtaining de Sitter vacua in ten dimensions. While
this is a popular set-up for searching de Sitter vacua, we propose a new method
to include supersymmetry breaking sources. For space-time filling branes
preserving bulk supersymmetry, the energy density can easily be extremized with
respect to all fields, thanks to the replacement of the DBI action by a
pullback of a special form given by a pure spinor. For sources breaking bulk
supersymmetry, we propose to replace the DBI action by the pullback of a more
general polyform, which is no longer pure. This generalization provides
corrections to the energy-momentum tensor which give a positive contribution to
the cosmological constant. We find a de Sitter solution to all (bulk and
world-volume) equations derived from this action. We argue it solves the
equations derived from the standard source action. The paper also contains a
review of solvmanifolds.Comment: 57 pages, 3 figures. Important additions (concerning the validity of
  our solution in string theory); version to appear in JHE
Holographic Wilsonian RG Flow and Sliding Membrane Paradigm

We study the relations between two different approaches to the holographic
Renormalization Group (RG) flow at the dual gravity level: One is the radial
evolution of the classical equation of motion and the other is the flow
equation given by the holographic Wilsonian RG coming from the cut off
independence. Apparently, the two flows look different. We give general proofs
that the two flows are actually equivalent. The role of the momentum continuity
(MC) is essential. We show that MC together with cutoff independence gives the
evolution equation of the boundary values. Equivalence of conductivity flows in
two paradigm has been shown as an explicit example. We also get the connecting
formula of Green functions and AC conductivity at arbitrary slice in terms of
its value at horizon for various geometry backgrounds.Comment: 21pages, 9 figures, published version, minor change
$d+id$ Holographic Superconductors

A holographic model of $d+id$ superconductors based on the action proposed by
Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a
charged spin two field in an AdS black hole spacetime. Working in the probe
limit, the normalizable solution of the spin two field in the bulk gives rise
to a $d+id$ superconducting order parameter at the boundary of the AdS. We
calculate the fermion spectral function in this\ superconducting background and
confirm the existence of fermi arcs for non-vanishing Majorana couplings. By
changing the relative strength $\gamma $ of the $d$ and $id$ condensations, the
position and the size of the fermi arcs are changed. When $\gamma =1$, the
spectrum becomes isotropic and the spectral function is s-wave like. By
changing the fermion mass, the fermi momentum is changed. We also calculate the
conductivity for these holographic $d+id$ superconductors where time reversal
symmetry has been broken spontaneously. A non-vanishing Hall conductivity is
obtained even without an external magnetic field.Comment: 24 pages,17 figures, Add more discussions on hall conductivity, two
  new figures, Matched with published versio
Phenomenology of dark matter from A(4) flavor symmetry

We investigate a model in which Dark Matter is stabilized by means of a Z(2) parity that results from the same non-abelian discrete flavor symmetry which accounts for the observed patter of neutrino mixing. In our A(4) example the standard model is extended by three extra Higgs doublets and the Z(2) parity emerges as a remnant of the spontaneous breaking of A(4) after electroweak symmetry breaking. We perform an analysis of the parameter space of the model consistent with electroweak precision tests, collider searches and perturbativity. We determine the regions compatible with the observed relic dark matter density and we present prospects for detection in direct as well as indirect Dark Matter search experiments
On AGT Conjecture for Pure Super Yang-Mills and W-algebra

Recently Alday, Gaiotto and Tachikawa have proposed relation between 2- and
4-dimensional conformal field theories. The relation implies that the Nekrasov
partition functions of N=2 superconformal gauge theories are equal to conformal
blocks associated with the conformal algebra. Likewise, a counterpart in pure
super Yang-Mills theory exists in conformal field theory. We propose a simple
relation between the Shapovalov matrix of the W_3-algebra and the Nekrasov
partition function of N=2 SU(3) Yang-Mills theory.Comment: 22 page
Unified framework for generalized and transverse-momentum dependent
  parton distributions within a 3Q light-cone picture of the nucleon

We present a systematic study of generalized transverse-momentum dependent
parton distributions (GTMDs). By taking specific limits or projections, these
GTMDs yield various transverse-momentum dependent and generalized parton
distributions, thus providing a unified framework to simultaneously model
different observables. We present such simultaneous modeling by considering a
light-cone wave function overlap representation of the GTMDs. We construct the
different quark-quark correlation functions from the 3-quark Fock components
within both the light-front constituent quark model as well as within the
chiral quark-soliton model. We provide a comparison with available data and
make predictions for different observables.Comment: version to appear in JHE
Closed flux tubes and their string description in D=2+1 SU(N) gauge
  theories

We carry out lattice calculations of the spectrum of confining flux tubes
that wind around a spatial torus of variable length l, in 2+1 dimensions. We
compare the energies of the lowest c.30 states to the free string Nambu-Goto
model and to recent results on the universal properties of effective string
actions. Our most useful calculations are in SU(6) at a small lattice spacing,
which we check is very close to the large-N continuum limit. We find that the
energies, En(l), are remarkably close to the predictions of the free string
Nambu-Goto model, even well below the critical length at which the expansion of
the Nambu-Goto energy in powers of 1/l diverges and the series needs to be
resummed. Our analysis of the ground state supports the universality of the
O(1/l) and the O(1/l^3) corrections to l.sigma, and we find that the deviations
from Nambu-Goto at small l prefer a leading correction that is O(1/l^7),
consistent with theoretical expectations. We find that the low-lying states
that contain a single phonon excitation are also consistent with the leading
O(1/l^7) correction dominating down to the smallest values of l. By contrast
our analysis of the other light excited states clearly shows that for these
states the corrections at smaller l resum to a much smaller effective power.
Finally, and in contrast to our recent calculations in D=3+1, we find no
evidence for the presence of any non-stringy states that could indicate the
excitation of massive flux tube modes.Comment: 71 pages, 31 figure
Some Field Theoretic Issues Regarding the Chiral Magnetic Effect

In this paper, we shall address some field theoretic issues regarding the
chiral magnetic effect. The general structure of the magnetic current
consistent with the electromagnetic gauge invariance is obtained and the impact
of the infrared divergence is examined. Some subtleties on the relation between
the chiral magnetic effect and the axial anomaly are clarified through a
careful examination of the infrared limit of the relevant thermal diagrams.Comment: 19 pages, 4 figures in Latex. Typos fixed, version accepted to be
  published in JHE
On the Perturbative Stability of Quantum Field Theories in de Sitter
  Space

We use a field theoretic generalization of the Wigner-Weisskopf method to
study the stability of the Bunch-Davies vacuum state for a massless,
conformally coupled interacting test field in de Sitter space. We find that in
$\lambda \phi^4$ theory the vacuum does {\em not} decay, while in
non-conformally invariant models, the vacuum decays as a consequence of a
vacuum wave function renormalization that depends \emph{singularly} on
(conformal) time and is proportional to the spatial volume. In a particular
regularization scheme the vacuum wave function renormalization is the same as
in Minkowski spacetime, but in terms of the \emph{physical volume}, which leads
to an interpretation of the decay. A simple example of the impact of vacuum
decay upon a non-gaussian correlation is discussed. Single particle excitations
also decay into two particle states, leading to particle production that
hastens the exiting of modes from the de Sitter horizon resulting in the
production of \emph{entangled superhorizon pairs} with a population consistent
with unitary evolution. We find a non-perturbative, self-consistent "screening"
mechanism that shuts off vacuum decay asymptotically, leading to a stationary
vacuum state in a manner not unlike the approach to a fixed point in the space
of states.Comment: 36 pages, 4 figures. Version to appear in JHEP, more explanation
A fixed point formula for the index of multi-centered N=2 black holes

We propose a formula for computing the (moduli-dependent) contribution of
multi-centered solutions to the total BPS index in terms of the
(moduli-independent) indices associated to single-centered solutions. The main
tool in our analysis is the computation of the refined index Tr(-y)^{2J_3} of
configurational degrees of freedom of multi-centered BPS black hole solutions
in N=2 supergravity by localization methods. When the charges carried by the
centers do not allow for scaling solutions (i.e. solutions where a subset of
the centers can come arbitrarily close to each other), the phase space of
classical BPS solutions is compact and the refined index localizes to a finite
set of isolated fixed points under rotations, corresponding to collinear
solutions. When the charges allow for scaling solutions, the phase space is
non-compact but appears to admit a compactification with finite volume and
additional non-isolated fixed points. We give a prescription for determining
the contributions of these fixed submanifolds by means of a `minimal
modification hypothesis', which we prove in the special case of dipole halo
configurations.Comment: 61 pages, 3 figure
Searching for an Attractive Force in Holographic Nuclear Physics

We are looking for a holographic explanation of nuclear forces, especially
the attractive forces. Recently, the repulsive hard core of a nucleon-nucleon
potential was obtained in the Sakai-Sugimoto model, and we show that a
generalized version of that model -- with an asymmetric configuration of the
flavor D8 branes -- also has an attractive potential. While the repulsive
potential stems from the Chern-Simons interactions of the U(2) flavor gauge
fields in 5D, the attractive potential is due to a coupling of the gauge fields
to a scalar field describing fluctuations of the flavor branes' geometry. At
intermediate distances r between baryons -- smaller than R_KK=O(1)/M_{omega
meson} but larger than the radius rho=R_KK/sqrt('t Hooft coupling) of the
instanton at the core of a baryon -- both the attractive and the repulsive
potentials behave as 1/r^2, but the attractive potential is weaker: Depending
on the geometry of the flavor D8 branes, the ratio C=-V_attr/V_rep ranges from
0 to 1/9. The 5D scalar fields also affect the isovector tensor and spin-spin
forces, and the overall effect is similar to the isoscalar central forces:
V(r)->(1-C)*V(r).
  At longer ranges $r\gtrsim R_{\rm KK}$, we find that the attractive potential
decays faster than the repulsive potential, so the net potential is always
repulsive. This unrealistic behavior may be peculiar to the Sakai-Sugimoto-like
models, or it could be a general problem of the large N_c limit inherent in
holography.Comment: 59 pages, 5 colored figures; v2 corrects the discussion of nuclear
  forces in the large Nc limit in section
Factorization Properties of Soft Graviton Amplitudes

We apply recently developed path integral resummation methods to perturbative
quantum gravity. In particular, we provide supporting evidence that eikonal
graviton amplitudes factorize into hard and soft parts, and confirm a recent
hypothesis that soft gravitons are modelled by vacuum expectation values of
products of certain Wilson line operators, which differ for massless and
massive particles. We also investigate terms which break this factorization,
and find that they are subleading with respect to the eikonal amplitude. The
results may help in understanding the connections between gravity and gauge
theories in more detail, as well as in studying gravitational radiation beyond
the eikonal approximation.Comment: 35 pages, 5 figure
Supersymmetric QCD: Exact Results and Strong Coupling

We revisit two longstanding puzzles in supersymmetric gauge theories. The
first concerns the question of the holomorphy of the coupling, and related to
this the possible definition of an exact (NSVZ) beta function. The second
concerns instantons in pure gluodynamics, which appear to give sensible, exact
results for certain correlation functions, which nonetheless differ from those
obtained using systematic weak coupling expansions. For the first question, we
extend an earlier proposal of Arkani-Hamed and Murayama, showing that if their
regulated action is written suitably, the holomorphy of the couplings is
manifest, and it is easy to determine the renormalization scheme for which the
NSVZ formula holds. This scheme, however, is seen to be one of an infinite
class of schemes, each leading to an exact beta function; the NSVZ scheme,
while simple, is not selected by any compelling physical consideration. For the
second question, we explain why the instanton computation in the pure
supersymmetric gauge theory is not reliable, even at short distances. The
semiclassical expansion about the instanton is purely formal; if infrared
divergences appear, they spoil arguments based on holomorphy. We demonstrate
that infrared divergences do not occur in the perturbation expansion about the
instanton, but explain that there is no reason to think this captures all
contributions from the sector with unit topological charge. That one expects
additional contributions is illustrated by dilute gas corrections. These are
infrared divergent, and so difficult to define, but if non-zero give order one,
holomorphic, corrections to the leading result. Exploiting an earlier analysis
of Davies et al, we demonstrate that in the theory compactified on a circle of
radius beta, due to infrared effects, finite contributions indeed arise which
are not visible in the formal limit that beta goes to infinity.Comment: 28 pages, two references added, one typo correcte
The Semi-Classical Spectrum of Solitons and Giant Magnons

In this note, we summarize recent progress in constructing and then
semi-classically quantizing solitons, or non-abelian Q-balls, in the symmetric
space sine-Gordon theories. We then consider the images of these solitons in
the related constrained sigma model, which are the dyonic giant magnons on the
string theory world-sheet. Focussing on the case of the symmetric space S^5, we
perform a semi-classical quantization of the solitons and magnons and show that
both lead to Chern-Simons quantum mechanics on the internal moduli space which
is a real Grassmannian SO(4)/SO(2)xSO(2) but---importantly---with a different
coupling constant. Quantizing this system shows that both the Q-balls and
magnons come in a tower of states transforming in symmetric representations of
the SO(4) symmetry group; however, the former come in a finite tower whereas
the latter come in the well-known infinite tower of dyonic giant magnons.Comment: 25 pages, additional references and small typos corrected. Final
  journal versio
Higgs Boson Masses in the MSSM with Heavy Majorana Neutrinos

We present a full diagrammatic computation of the one-loop corrections from
the neutrino/sneutrino sector to the renormalized neutral CP-even Higgs boson
self-energies and the lightest Higgs boson mass, Mh, within the context of the
so-called MSSM-seesaw scenario. This consists of the Minimal Supersymmetric
Standard Model with the addition of massive right handed Majorana neutrinos and
their supersymmetric partners, and where the seesaw mechanism is used for the
lightest neutrino mass generation. We explore the dependence on all the
parameters involved, with particular emphasis in the role played by the heavy
Majorana scale. We restrict ourselves to the case of one generation of
neutrinos/sneutrinos. For the numerical part of the study, we consider a very
wide range of values for all the parameters involved. We find sizeable
corrections to Mh, which are negative in the region where the Majorana scale is
large (10^{13}-10^{15} GeV) and the lightest neutrino mass is within a range
inspired by data (0.1-1 eV). For some regions of the MSSM-seesaw parameter
space, the corrections to Mh are substantially larger than the anticipated
Large Hadron Collider precision.Comment: Latex, 50 pages, 15 figures, 6 tables. Discussion improved. Comments
  and some new approximate formulae have been added. Published version on JHE
On Eling-Oz formula for the holographic bulk viscosity

Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of
holographic plasma. They argued that the formula is valid in the high
temperature (near-conformal) regime, but is expected to break down at low
temperatures. We point out that the formula is in perfect agreement with the
previous computations of the bulk viscosity of the cascading plasma [2,3], as
well as with the previous computations of the bulk viscosity of N=2^* plasma
[4,5]. In the latter case it correctly reproduces the critical behaviour of the
bulk viscosity in the vicinity of the critical point with the vanishing speed
of sound.Comment: 15 pages, 4 figures; v2: references update
Towards extending the Chern-Simons couplings at order $O(\alpha'^2)$

Using the compatibility of the anomalous Chern-Simons couplings on
D$_p$-branes with the linear T-duality and with the antisymmetric B-field gauge
transformations, some couplings have been recently found for $C^{(p-3)}$ at
order $O(\alpha'^2)$. We examine these couplings with the S-matrix element of
one RR and two antisymmetric B-field vertex operators. We find that the
S-matrix element reproduces these couplings as well as some other couplings.
Each of them is invariant under the linear T-duality and the B-field gauge
transformations.Comment: 30 pages, Latex file, one figure; the version appears in JHE