Quantization of Donaldson-Uhlenbeck-Yau theory

Abstract

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 Kähler WZW model. A relationship with the $J$-formulation of the anti-self-dual Yang-Mills theory is explored.

13pages

References in corpus (5)

• Lagrange structure and quantization
• BRST theory without Hamiltonian and Lagrangian
• Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
• Schwinger-Dyson equation for non-Lagrangian field theory
• Quantizing non-Lagrangian gauge theories: an augmentation method

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• Local BRST cohomology in (non-)Lagrangian field theory
• A remark on the Lagrange structure of the unfolded field theory
• Conservation Laws and Stability of Field Theories of Derived Type