Max Riegler

Entanglement entropy in Galilean conformal field theories and flat holography

We present the analytical calculation of entanglement entropy for a class of two-dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.

Non-AdS holography in 3-dimensional higher spin gravity — General recipe and example

A bstractWe present the general algorithm to establish the classical and quantum asymptotic symmetry algebra for non-AdS higher spin gravity and implement it for the specific example of spin-3 gravity in the non-principal embedding with Lobachevsky

Most general AdS3 boundary conditions

\left( {{{\mathbb{H}}^2}\times \mathbb{R}} \right)

BMS Modules in Three Dimensions

boundary conditions. The asymptotic symmetry algebra for this example consists of a quantum

Rotating higher spin partition functions and extended BMS symmetries

W_3^{(2) }

Unitarity in three-dimensional flat space higher spin theories

(Polyakov-Bershadsky) and an affine û(1) algebra. We show that unitary representations of the quantum

Semi-classical unitarity in three-dimensional higher spin gravity for non-principal embeddings

W_3^{(2) }

Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories

algebra exist only for two values of its central charge, the trivial c = 0 “theory” and the simple c = 1 theory.

Flat space limit of higher-spin Cardy formula

A bstractWe consider the most general asymptotically anti-de Sitter boundary conditions in three-dimensional Einstein gravity with negative cosmological constant. The metric contains in total twelve independent functions, six of which are interpreted as chemical potentials (or non-normalizable fluctuations) and the other half as canonical boundary charges (or normalizable fluctuations). Their presence modifies the usual Fefferman-Graham expansion. The asymptotic symmetry algebra consists of two sl2k