Stefan Fredenhagen

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

We discuss the emergence of

Asymptotic W-symmetries in three-dimensional higher-spin gauge theories

\mathcal{W} \mbox{-algebras}

Branes on group manifolds, gluon condensates, and twisted K-theory

as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) × SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical

Quantum mechanics of baryogenesis

{\mathcal{W}_3}\mbox{-algebra}

Towards metric-like higher-spin gauge theories in three dimensions

with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

D-branes in Coset Models

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of higher-spin gauge theories that can be considered as large N limits of SL(N) × SL(N) Chern-Simons theories, and we provide a closed formula for the structure constants of the resulting infinite-dimensional non-linear

Non-commutative gauge theory of twisted D-branes

\mathcal{W}

Bulk-induced boundary perturbations

-algebras. Along the way we provide a closed formula for the structure constants of all classical

Organizing boundary RG flows

{\mathcal{W}_N}

Generalised permutation branes

algebras. In both examples the higher-spin generators of the