English

Poisson gauge theory: a review

High Energy Physics - Theory 2023-03-16 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

In this paper we overview the Poisson gauge theory focusing on the most recent developments. We discuss the general construction and its symplectic-geometric interpretation. We consider explicit realisations of the formalism for all non-commutativities of the Lie algebraic type. We discuss Seiberg-Witten maps between Poisson gauge field-theoretical models.

Keywords

Cite

@article{arxiv.2303.08168,
  title  = {Poisson gauge theory: a review},
  author = {M. A. Kurkov},
  journal= {arXiv preprint arXiv:2303.08168},
  year   = {2023}
}

Comments

9 pages, Proceedings of the "Workshop on Noncommutative and generalized geometry in string theory, gauge theory and related physical models", Corfu, Sep 18 - Sep 25, 2022

R2 v1 2026-06-28T09:17:16.481Z