Effective Action for D-branes on SU(2)/U(1) Gauged WZW Model

Abstract

Dynamics of D-branes on SU(2)/U(1) gauged WZW model are investigated. We find the effective action for infinite k, where k is the level of WZW model. We also consider finite k correction to the effective action which is compatible with Fedosov's deformation quantization of the background.

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