Four-Dimensional Avatars of Two-Dimensional RCFT
High Energy Physics - Theory
2009-10-28 v2 alg-geom
Algebraic Geometry
Abstract
We investigate a 4D analog of 2D WZW theory. The theory turns out to have surprising finiteness properties and an infinite-dimensional 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 theory. Finally, we define four-dimensional ``conformal blocks'' and present an analog of the Verlinde formula.
Cite
@article{arxiv.hep-th/9509151,
title = {Four-Dimensional Avatars of Two-Dimensional RCFT},
author = {A. Losev and G. Moore and N. Nekrasov and S. Shatashvili},
journal= {arXiv preprint arXiv:hep-th/9509151},
year = {2009}
}
Comments
28pp. harvmac l-mode, Talk presented at Strings 95 and at the Trieste Conference on S-Duality and Mirror Symmetry. References added, misprints corrected, improved discussion of the gauged action