Mathematical Physics and String Theory

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Towards metric-like higher spin gauge theories in three dimensions

Stefan Fredenhagen (Potsdam, Max Planck Inst.)

12.07.2012 at 16:15

Three dimensions provide a useful playground to study gravity and higher spin generalisations thereof. Black hole solutions and the corresponding entropy can be studied, and holographic aspects can be investigated. The known interacting higher spin gauge theories are formulated in a frame-like formalism using generalised vielbeins and spin connections, and standard tools from metric-like formulations like e.g. Wald's entropy formula cannot be applied. I will review recent progress in the metric-like formulation of a spin-3 field coupled to gravity that corresponds to an SL(3)xSL(3) Chern-Simons theory. At the end I will discuss how this can be used to compute corrections to the entropy of a higher spin black hole.

Arnold Sommerfeld Center
Theresienstrasse 37
Room 348/349