Tuesday, January 1, 2013

1212.6637 (E. A. Ivanov et al.)

Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited    [PDF]

E. A. Ivanov, B. M. Zupnik
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 hep-th/0110074, 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_{\alpha\beta}, \bar V_{\dot \alpha\dot \beta}. 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.
View original: http://arxiv.org/abs/1212.6637

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