Quantization of Donaldson-Uhlenbeck-Yau theory
classification
✦ hep-th
keywords
theorydonaldson-uhlenbeck-yaupath-integralquantizationadmitahleranti-self-dualcorresponding
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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 G/G K\"ahler WZW model. A relationship with the $J$-formulation of the anti-self-dual Yang-Mills theory is explored.
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