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arXiv · 1212.6637

Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited

E. A. Ivanov·B. M. Zupnik
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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}, \bar V_{\dot α\dot 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.

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E. A. Ivanov, B. M. Zupnik. 2013-06-03. Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited. https://doi.org/10.1103/physrevd.87.065023

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