Holomorphic Analogs of Topological Gauge Theories

Details Holomorphic Analogs of Topological Gauge Theories Holomorphic Analogs of Topological Gauge Theories

1999-09-20

arxiv.org/abs/hep-th/9909135v2

Phys.Lett. B473 (2000) 65-72

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX2e, shortened PLB version

Scientific paper

10.1016/S0370-2693(99)01464-1

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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