70 research outputs found
Super-R\'enyi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
We compute the supersymmetric R\'enyi entropies across a spherical
entanglement surface in N=4 SU(N) SYM theory using localization on the
four-dimensional ellipsoid. We extract the leading result at large N and
\lambda, and match its universal part to a gravity calculation involving a
hyperbolically sliced supersymmetric black hole solution of N=4+ SU(2) X U(1)
gauged supergravity in five dimensions. We repeat the analysis in the presence
of a Wilson loop insertion and find again a perfect match with the dual string
theory. Understanding the Wilson loop operator requires knowledge of the full
ten-dimensional IIB supergravity solution which we elaborate upon.Comment: 30+1 pages, 1 table; minor corrections, references added; matches
published version (JHEP
The Effects of Topical Dose Delivery of Corticosterone on the Development and Hatching Success of the Zebra Finch
The Australian Zebra Finch (Taeniopygia guttata) is an important animal model for vertebrate development and behavior. New research initiatives in the fields of epigenetics rely heavily on injecting hormones and environmental toxins directly into the eggs of different bird species such as zebra finches and other passerine songbirds to replicate the effects maternal condition on offspring. However, the widely used method of egg-injections does not accurately replicate physiological conditions, as the injected substances remain concentrated at the injection site for extended periods and do not diffuse into the developing tissues. Therefore, we propose an alternative method to injection protocols that takes advantage of the porous nature of eggs. Corticosterone (CORT), a major vertebrate stress hormone, dissolved in ethyl alcohol was applied to the surface of zebra finch eggs daily. The effect of this treatment on decreasing hatching success shows that topical hormonal treatments are a viable alternative to egg injection
Constraints on Flavored 2d CFT Partition Functions
We study the implications of modular invariance on 2d CFT partition functions
with abelian or non-abelian currents when chemical potentials for the charges
are turned on, i.e. when the partition functions are "flavored". We begin with
a new proof of the transformation law for the modular transformation of such
partition functions. Then we proceed to apply modular bootstrap techniques to
constrain the spectrum of charged states in the theory. We improve previous
upper bounds on the state with the greatest "mass-to-charge" ratio in such
theories, as well as upper bounds on the weight of the lightest charged state
and the charge of the weakest charged state in the theory. We apply the
extremal functional method to theories that saturate such bounds, and in
several cases we find the resulting prediction for the occupation numbers are
precisely integers. Because such theories sometimes do not saturate a bound on
the full space of states but do saturate a bound in the neutral sector of
states, we find that adding flavor allows the extremal functional method to
solve for some partition functions that would not be accessible to it
otherwise.Comment: 45 pages, 16 Figures v3: typos corrected, expanded appendix on
numeric implementatio
Spinning Geodesic Witten Diagrams
We present an expression for the four-point conformal blocks of symmetric
traceless operators of arbitrary spin as an integral over a pair of geodesics
in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of
Hijano et al [arXiv:1508.00501] to arbitrary spin. As an intermediate step in
the derivation, we identify a convenient basis of bulk three-point interaction
vertices which give rise to all possible boundary three point structures. We
highlight a direct connection between the representation of the conformal block
as a geodesic Witten diagram and the shadow operator formalism.Comment: 28+6 pages, 8 figure
The Most Irrational Rational Theories
We propose a two-parameter family of modular invariant partition functions of
two-dimensional conformal field theories (CFTs) holographically dual to pure
three-dimensional gravity in anti de Sitter space. Our two parameters control
the central charge, and the representation of . At large
central charge, the partition function has a gap to the first nontrivial
primary state of . As the representation
dimension gets large, the partition function exhibits some of the qualitative
features of an irrational CFT. This, for instance, is captured in the behavior
of the spectral form factor. As part of these analyses, we find similar
behavior in the minimal model spectral form factor as approaches .Comment: 25 pages plus appendices, 11 figure
Scaling dimensions of monopole operators in the theory in dimensions
We study monopole operators at the conformal critical point of the
theory in spacetime dimensions. Using the
state-operator correspondence and a saddle point approximation, we compute the
scaling dimensions of these operators to next-to-leading order in . We
find remarkable agreement between our results and numerical studies of quantum
antiferromagnets on two-dimensional lattices with SU() global symmetry,
using the mapping of the monopole operators to valence bond solid order
parameters of the lattice antiferromagnet.Comment: 29 pages + Appendices, 3 figures; v2 corrected an important minus
sign error and made various improvement
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