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Quantization of Donaldson–Uhlenbeck–Yau theory

2007/05/24 by S. L. Lyakhovich, Alexey Sharapov, A. A. Sharapov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.09.029

published as Phys.Lett.B656:265-271,2007 · 13pages

arxiv created 2007/05/24 · openalex publication_date 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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