Note on the self-duality of gauge fields in topologically nontrivial spacetime
High Energy Physics - Theory
2016-06-21 v2 Mathematical Physics
math.MP
Abstract
We show the derivation of the self-duality relation of abelian higher-form gauge field strength in the topologically nontrivial spacetime background. The so-called Pasti-Sorokin-Tonin action for the self-dual abelian gauge field assumes that the spacetime topology is trivial to derive the self-duality relation using a gauge transformation of the action. In this paper we find a new gauge transformation of the same theory and show that this new gauge transformation enables us to derive the self-duality relation even in the topologically nontrivial spacetime background.
Keywords
Cite
@article{arxiv.1406.6023,
title = {Note on the self-duality of gauge fields in topologically nontrivial spacetime},
author = {Hiroshi Isono},
journal= {arXiv preprint arXiv:1406.6023},
year = {2016}
}
Comments
6 pages. No figure. v2: minor typos corrected