FourDimensional Avatars of TwoDimensional RCFT
Abstract
We investigate a 4D analog of 2D WZW theory. The theory turns out to have surprising finiteness properties and an infinitedimensional current algebra symmetry. Some correlation functions are determined by this symmetry. One way to define the theory systematically proceeds by the quantization of moduli spaces of holomorphic vector bundles over algebraic surfaces. We outline how one can define vertex operators in the theories. Finally, we define fourdimensional "conformal blocks" and present an analog of the Verlinde formula.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 March 1996
 DOI:
 10.1016/09205632(96)000151
 arXiv:
 arXiv:hepth/9509151
 Bibcode:
 1996NuPhS..46..130L
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 28pp. harvmac lmode, Talk presented at Strings 95 and at the Trieste Conference on SDuality and Mirror Symmetry. References added, misprints corrected, improved discussion of the gauged action