Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited: The U(N) Case
Abstract
We update and detail the formulation of the duality-invariant systems of N interacting abelian gauge fields with N auxiliary bispinor fields added. In this setting, the self-duality amounts to U(N) invariance of the nonlinear interaction of the auxiliary fields. The U(N) self-dual Lagrangians arise after solving the nonlinear equations of motion for the auxiliary fields. We also elaborate on a new extended version of the bispinor field formulation involving some additional scalar auxiliary fields and study U(N) invariant interactions with derivatives of the auxiliary bispinor fields. Such interactions generate higher-derivative U(N) self-dual theories.
Keywords
Cite
@article{arxiv.1304.1366,
title = {Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited: The U(N) Case},
author = {E. A. Ivanov and B. M. Zupnik},
journal= {arXiv preprint arXiv:1304.1366},
year = {2013}
}
Comments
1 + 17 pages, few references and clarifying comments added, Sections 1, 5 and Appendix revised; published version