Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited

2012/12/31 by E. A. Ivanov, B. M. Zupnik · 1 citation
Physics and Astronomy · #hep-th #msc:70S10 #msc:70S15

paper · pdf · doi:10.1103/physrevd.87.065023

published as Phys. Rev. D 87, 065023 (2013) · 0 + 24 pages, minor changes, acknowledgement added, v3: minor corrections in appendix A

arxiv created 2013/06/03 · arxiv updated 2013/06/04

Abstract

Motivated by a recent progress in studying the duality-symmetric models of nonlinear electrodynamics, we revert to the auxiliary tensorial (bispinor) field formulation of the O(2) duality proposed by us in arXiv:hep-th/0110074, arXiv:hep-th/0303192. In this approach, the entire information about the given duality-symmetric system is encoded in the O(2) invariant interaction Lagrangian which is a function of the auxiliary fields V_αβ, V _{α β}. We extend this setting to duality-symmetric systems with higher derivatives and show that the recently employed "nonlinear twisted self-duality constraints" amount to the equations of motion for the auxiliary tensorial fields in our approach. Some other related issues are briefly discussed and a few instructive examples are explicitly worked out.

Citations

• N=3 supersymmetric Born–Infeld theory
• New approach to nonlinear electrodynamics: Dualities as symmetries of interaction

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