Generalized Born–Infeld Actions and Projective Cubic Curves
نویسنده
چکیده
We investigate U(1) supersymmetric Born–Infeld Lagrangians with a second non–linearly realized supersymmetry. The resulting non–linear structure is more complex than the square root present in the standard Born–Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties. ∗On leave of absence from Department of Physics and Astronomy, U.C.L.A., Los Angeles CA USA ∗∗On leave of absence from Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56126 Pisa ITALY
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