Some Pathways in non-Linear Supersymmetry: Special Geometry Born-Infeld's, Cosmology and dualities

Abstract

This review is devoted to some aspects of non-linear Supersymmetry in four dimensions that can be efficiently described via nilpotent superfields, in both rigid and curved Superspace. Our focus is mainly on the partial breaking of rigid $N=2$ Supersymmetry and on a class of generalized Born-Infeld systems that originate from Special Geometry and on some prototype cosmological models, starting from the Supergravity embedding of Starobinsky inflation. However, as an aside we also review briefly some interesting two-field extensions of the Born-Infeld Lagrangian whose field equations enjoy extended duality symmetries.

Contribution to the Proceedings of "Group Theory, Probability, and the Structure of Spacetime", A Conference on the Occasion of Professor V.S. Varadarajan's Retirement, UCLA Mathematics Department, November 7-9, 2014. To appear in a special issue of "p-Adic Numbers, Ultrametric Analysis and Applications". 35 pages LaTeX, 1 eps figure. Typos corrected, reference added

References in corpus (11)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Open strings and their symmetry groups
• On Climbing Scalars in String Theory
• N=2 Born-Infeld Attractors
• Generalized Born--Infeld Actions and Projective Cubic Curves
• On the dualization of Born-Infeld theories
• Observations on the Partial Breaking of $N=2$ Rigid Supersymmetry
• Massive Born--Infeld and Other Dual Pairs
• Doubly Self-Dual Actions in Various Dimensions

Cited by in corpus (4)

• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• String Theory Origin of Constrained Multiplets
• Cosmology and Supergravity
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory