Uniqueness of Bogomol'nyi equations and Born-Infeld like supersymmetric theories
H. R. Christiansen, C. Nuñez, F. A. Schaposnik
Abstract
We discuss Bogomol'nyi equations for general gauge theories (depending on the two Maxwell invariants Fμν Fμν and Fμν Fμν) coupled to Higgs scalars. By analysing their supersymmetric extension, we explicitly show why the resulting BPS structure is insensitive to the particular form of the gauge Lagrangian: Maxwell, Born-Infeld or more complicated non-polynomial Lagrangians all satisfy the same Bogomol'nyi equations and bounds which are dictated by the underlying supersymmetry algebra.
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