Schreiber
∞-Wess-Zumino-Witten theory

An article that we are preparing

on higher analogs of the WZW model and their holographic relation to ∞-Chern-Simons theory.

See

Exposition of this is in the following talk notes

Contents

Idea

In the context of differential cohomology in a cohesive topos, every characteristic map c\mathbf{c} induces – via ∞-Chern-Weil theory – the Lagrangian CS cCS_{\mathbf{c}} of an ∞-Chern-Simons theory. There is canonically a differentially twisted looking WZW cWZW_{\mathbf{c}} of CS cCS_{\mathbf{c}}. This generalizes the Lagrangian for the sigma-model called the Wess-Zumino-Witten model from Lie group target spaces to general smooth ∞-group target spaces.

Revised on December 18, 2013 11:22:29 by Urs Schreiber (89.204.130.190)