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arXiv · hep-th/9909135

Holomorphic Analogs of Topological Gauge Theories

Alexander D. Popov
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Abstract

We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined on real manifolds. We introduce actions for different special holomorphic BF theories on complex, Kahler and Calabi-Yau manifolds and describe their gauge symmetries. Candidate observables, topological invariants and relations to integrable models are briefly discussed.

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Alexander D. Popov. 1999-12-28. Holomorphic Analogs of Topological Gauge Theories. https://doi.org/10.1016/s0370-2693(99)01464-1

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