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Paper detail

Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited: The U(N) Case

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.

preprint2013arXivOpen access
E. A. IvanovB. M. Zupnik
math-phmath.MPhep-th
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E. A. IvanovB. M. Zupnik

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