172 research outputs found
Higher Spin AdS/CFT at One Loop
Following arXiv:1308.2337, we carry out one loop tests of higher spin
AdS/CFT correspondences for . The Vasiliev theories in
AdS, which contain each integer spin once, are related to the
singlet sector of the -dimensional CFT of free complex scalar fields;
the minimal theories containing each even spin once -- to the singlet
sector of the CFT of free real scalar fields. Using analytic continuation
of higher spin zeta functions, which naturally regulate the spin sums, we
calculate one loop vacuum energies in Euclidean AdS. In even we
compare the result with the correction to the -coefficient of the
Weyl anomaly; in odd -- with the correction to the free energy
on the -dimensional sphere. For the theories of integer spins, the
correction vanishes in agreement with the CFT of free complex scalars. For
the minimal theories, the correction always equals the contribution of one real
conformal scalar field in dimensions. As explained in arXiv:1308.2337, this
result may agree with the singlet sector of the theory of real
scalar fields, provided the coupling constant in the higher spin theory is
identified as . Our calculations in even are closely
related to finding the regularized -anomalies of conformal higher spin
theories. In each even we identify two such theories with vanishing
-anomaly: a theory of all integer spins, and a theory of all even spins
coupled to a complex conformal scalar. We also discuss an interacting UV fixed
point in obtained from the free scalar theory via an irrelevant
double-trace quartic interaction. This interacting large theory is dual to
the Vasiliev theory in AdS where the bulk scalar is quantized with the
alternate boundary condition.Comment: 35 pages. v2: minor improvement
Renyi Entropy and Geometry
Entanglement entropy in even dimensional conformal field theories (CFTs)
contains well-known universal terms arising from the conformal anomaly. Renyi
entropies are natural generalizations of the entanglement entropy that are much
less understood. Above two spacetime dimensions, the universal terms in the
Renyi entropies are unknown for general entangling geometries. We conjecture a
new structure in the dependence of the four-dimensional Renyi entropies on the
intrinsic and extrinsic geometry of the entangling surface. We provide evidence
for this conjecture by direct numerical computations in the free scalar and
fermion field theories. The computation involves relating the four-dimensional
free massless Renyi entropies across cylindrical entangling surfaces to
corresponding three-dimensional massive Renyi entropies across circular
entangling surfaces. Our numerical technique also allows us to directly probe
other interesting aspects of three-dimensional Renyi entropy, including the
massless renormalized Renyi entropy and calculable contributions to the
perimeter law.Comment: 16 pages, 3 figures; v2 refs added, minor improvement
Measuring Anisotropies in the Cosmic Neutrino Background
Neutrino capture on tritium has emerged as a promising method for detecting
the cosmic neutrino background (CvB). We show that relic neutrinos are captured
most readily when their spin vectors are anti-aligned with the polarization
axis of the tritium nuclei and when they approach along the direction of
polarization. As a result, CvB observatories may measure anisotropies in the
cosmic neutrino velocity and spin distributions by polarizing the tritium
targets. A small dipole anisotropy in the CvB is expected due to the peculiar
velocity of the lab frame with respect to the cosmic frame and due to late-time
gravitational effects. The PTOLEMY experiment, a tritium observatory currently
under construction, should observe a nearly isotropic background. This would
serve as a strong test of the cosmological origin of a potential signal. The
polarized-target measurements may also constrain non-standard neutrino
interactions that would induce larger anisotropies and help discriminate
between Majorana versus Dirac neutrinos.Comment: 7 pages, 2 figure
Dark-Matter Harmonics Beyond Annual Modulation
The count rate at dark-matter direct-detection experiments should modulate
annually due to the motion of the Earth around the Sun. We show that
higher-frequency modulations, including daily modulation, are also present and
in some cases are nearly as strong as the annual modulation. These higher-order
modes are particularly relevant if (i) the dark matter is light, O(10) GeV,
(ii) the scattering is inelastic, or (iii) velocity substructure is present;
for these cases, the higher-frequency modes are potentially observable at
current and ton-scale detectors. We derive simple expressions for the harmonic
modes as functions of the astrophysical and geophysical parameters describing
the Earth's orbit, using an updated expression for the Earth's velocity that
corrects a common error in the literature. For an isotropic halo velocity
distribution, certain ratios of the modes are approximately constant as a
function of nuclear recoil energy. Anisotropic distributions can also leave
observable features in the harmonic spectrum. Consequently, the higher-order
harmonic modes are a powerful tool for identifying a potential signal from
interactions with the Galactic dark-matter halo.Comment: 40 pages, 10 figures; v2 refs added, minor improvements; v3 refs
added, minor improvements, JCAP versio
Distinguishing Dark Matter from Unresolved Point Sources in the Inner Galaxy with Photon Statistics
Data from the Fermi Large Area Telescope suggests that there is an extended
excess of GeV gamma-ray photons in the Inner Galaxy. Identifying potential
astrophysical sources that contribute to this excess is an important step in
verifying whether the signal originates from annihilating dark matter. In this
paper, we focus on the potential contribution of unresolved point sources, such
as millisecond pulsars (MSPs). We propose that the statistics of the
photons---in particular, the flux probability density function (PDF) of the
photon counts below the point-source detection threshold---can potentially
distinguish between the dark-matter and point-source interpretations. We
calculate the flux PDF via the method of generating functions for these two
models of the excess. Working in the framework of Bayesian model comparison, we
then demonstrate that the flux PDF can potentially provide evidence for an
unresolved MSP-like point-source population.Comment: 27 pages, 8 figures; v2, reference added and other minor change
Renyi entropy, stationarity, and entanglement of the conformal scalar
We extend previous work on the perturbative expansion of the Renyi entropy,
, around for a spherical entangling surface in a general CFT.
Applied to conformal scalar fields in various spacetime dimensions, the results
appear to conflict with the known conformal scalar Renyi entropies. On the
other hand, the perturbative results agree with known Renyi entropies in a
variety of other theories, including theories of free fermions and vector
fields and theories with Einstein gravity duals. We propose a resolution
stemming from a careful consideration of boundary conditions near the
entangling surface. This is equivalent to a proper treatment of
total-derivative terms in the definition of the modular Hamiltonian. As a
corollary, we are able to resolve an outstanding puzzle in the literature
regarding the Renyi entropy of super-Yang-Mills near . A
related puzzle regards the question of stationarity of the renormalized
entanglement entropy (REE) across a circle for a (2+1)-dimensional massive
scalar field. We point out that the boundary contributions to the modular
Hamiltonian shed light on the previously-observed non-stationarity. Moreover,
IR divergences appear in perturbation theory about the massless fixed point
that inhibit our ability to reliably calculate the REE at small non-zero mass.Comment: 37 page
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