Ethan Dyer

Super-Rényi entropy & Wilson loops for N=4 SYM and their gravity duals

A bstractWe compute the supersymmetric Rényi entropies across a spherical entanglement surface in N=4

2D CFT Partition Functions at Late Times

\mathcal{N}=4

Spinning Geodesic Witten Diagrams

SU(N) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and λ and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of N=4+

Constraints on Flavored 2d CFT Partition Functions

\mathcal{N}={4}^{+}

An extremal

SU(2) × 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.

{\mathcal{N}}=2

A bstractWe derive an explicit bound on the dimension of the lightest charged state in two dimensional conformal field theories with a global abelian symmetry. We find that the bound scales with c and provide examples that parametrically saturate this bound. We also prove that any such theory must contain a state with charge-to-mass ratio above a minimal lower bound. We comment on the implications for charged states in three dimensional theories of gravity.