The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
Nonlinear Self-Duality and Supersymmetry
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abstract
We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have to be satisfied by the action of any self-dual system, are found and solutions are discussed. One important example is the Born-Infeld action. We explain why the N = 2 supersymmetric actions proposed so far are not the correct world-volume actions for D3 branes in d = 6.
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Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.
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Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
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Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.