English

K\"ahler-Chern-Simons Theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four- dimensional K\"ahler manifold. The phase space is the space of gauge potentials, the symplectic reduction of which by the constraints of antiself-duality leads to the moduli space of antiself-dula instantons. We outline the theory highlighting the symmetries, their canonical realization and some properties of the quantum wave functions. The relationship to integrable systems via dimensional reduction is briefly discussed.

Keywords

Cite

@article{arxiv.hep-th/9110042,
  title  = {K\"ahler-Chern-Simons Theory},
  author = {V. P. Nair},
  journal= {arXiv preprint arXiv:hep-th/9110042},
  year   = {2007}
}

Comments

10 pages. Invited talks at Strings and Symmetries 1991, Stonybrook, May 1991 and the XXth International Conference on Differential Geometric Methods in Theoretical Physics, New York, June 1991

R2 v1 2026-07-22T15:41:51.949Z