Generalized Born--Infeld Actions and Projective Cubic Curves

Abstract

We investigate $U(1{)}^n$ 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.

arXiv comment17 pages, LaTeX, 1 eps figure. Comments added and misprints corrected. Final version to appear in Fortschritte der Physik - Progress of Physics

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• Doubly Self-Dual Actions in Various Dimensions
• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
• Some Pathways in non-Linear Supersymmetry: Special Geometry Born-Infeld's, Cosmology and dualities
• Two-Field Born-Infeld with Diverse Dualities
• Real weights, bound states and duality orbits
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Testing the FPS approach in d=1
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory