English

Holomorphic Analogs of Topological Gauge Theories

High Energy Physics - Theory 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9909135,
  title  = {Holomorphic Analogs of Topological Gauge Theories},
  author = {Alexander D. Popov},
  journal= {arXiv preprint arXiv:hep-th/9909135},
  year   = {2009}
}

Comments

12 pages, LaTeX2e, shortened PLB version