# Contents

## Idea

The 4-dimensional version of higher dimensional WZW theory, the boundary theory of the 5-dimensional Chern-Simons theory that is induced from the third Chern class. Also called Nair-Schiff theory or Kähler Chern-Simons theory .

## Properties

### Equations of motion

The Euler-Lagrange equations of the 4d WZW model are those of self-dual Yang-Mills theory.

### Finiteness

The model is finite at 1-loop (Ketov) and expected to be finite to all orders.

## References

• T. Inami, H. Kanno and T. Ueno, Mod. Phys. Lett. A12, 2757 (1997).

• J. Gegenberg , G. Kunstatter, Boundary Dynamics of Higher Dimensional AdS Spacetime (arXiv:hep-th/9905228)

• J. Gegenberg , G. Kunstatter, Boundary Dynamics of Higher Dimensional Chern-Simons Gravity (arXiv:hep-th/0010020)

Created on October 28, 2011 02:38:22 by Urs Schreiber (77.61.2.209)