Four-Dimensional Avatars of Two-Dimensional RCFT

Details Four-Dimensional Avatars of Two-Dimensional RCFT Four-Dimensional Avatars of Two-Dimensional RCFT

1995-09-27

arxiv.org/abs/hep-th/9509151v2

Nucl.Phys.Proc.Suppl. 46 (1996) 130-145

Physics

High Energy Physics

High Energy Physics - Theory

28pp. harvmac l-mode, Talk presented at Strings 95 and at the Trieste Conference on S-Duality and Mirror Symmetry. References

Scientific paper

10.1016/0920-5632(96)00015-1

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.

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