# Schreiber ∞-Wess-Zumino-Witten theory

An article that we are preparing

• $\infty$-Wess-Zumino-Witten theory

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

• WZW terms in a cohesive $\infty$-topos ,

talk at Representation Theoretic and Categorical Structures in Quantum Geometry and Conformal Field Theory (2011)

• Urs Schreiber

Higher geometric prequantum theory and The brane bouquet

talk at Bayrischzell workshop 2013

# Contents

## Idea

In the context of differential cohomology in a cohesive topos, every characteristic map $\mathbf{c}$ induces – via ∞-Chern-Weil theory – the Lagrangian $CS_{\mathbf{c}}$ of an ∞-Chern-Simons theory. There is canonically a differentially twisted looking $WZW_{\mathbf{c}}$ of $CS_{\mathbf{c}}$. 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 February 23, 2015 18:00:50 by Urs Schreiber (89.204.138.150)