Quantization of Donaldson-Uhlenbeck-Yau theory

摘要

A covariant path-integral quantization is proposed for the non-Lagrangian gauge theory described by the Donaldson-Uhlenbeck-Yau equation. The corresponding partition function is shown to admit a nice path-integral representation in terms of the gauged GIG Kahler WZW model. A relationship with the J-formulation of the anti-self-dual Yang-Mills theory is explored. (C) 2007 Elsevier B.V. All rights reserved.