%0 Journal Article %T Uniqueness of Bogomol'nyi equations and Born-Infeld like supersymmetric theories %A H. R. Christiansen %A C. Nu£żez %A F. A. Schaposnik %J Physics %D 1998 %I arXiv %R 10.1016/S0370-2693(98)01187-3 %X We discuss Bogomol'nyi equations for general gauge theories (depending on the two Maxwell invariants $F^{\mu \nu} F_{\mu \nu}$ and $\tilde F^{\mu \nu} F_{\mu \nu}$) 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. %U http://arxiv.org/abs/hep-th/9807197v1