Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory

Abstract

This review is devoted to highlight some aspects of the relevance of Majorana fermions in rigid supersymmetry breaking in four spacetime dimensions. After introducing some basic facts on spinors, and on their symmetries and reality properties, we consider Goldstino actions describing partial breaking of rigid supersymmetry, then focussing on Born-Infeld non-linear theory, its duality symmetry, and its supersymmetric extensions, also including multi-field generalizations exhibiting doubly self-duality.

1+27 pages, 1 Table. Contribution to the Proceedings of the Erice International School of Subnuclear Physics, 53rd Course : "The Future of Our Physics Including New Frontiers", and Celebration of the Triumph of Ettore Majorana, Erice, 24 June-3 July 2015. Dedicated to the memory of Guido Altarelli

References in corpus (9)

• From Linear SUSY to Constrained Superfields
• N=2 Born-Infeld Attractors
• On the dualization of Born-Infeld theories
• Generalized Born--Infeld Actions and Projective Cubic Curves
• Observations on the Partial Breaking of $N=2$ Rigid Supersymmetry
• Massive Born--Infeld and Other Dual Pairs
• Doubly Self-Dual Actions in Various Dimensions
• Some Pathways in non-Linear Supersymmetry: Special Geometry Born-Infeld's, Cosmology and dualities
• Observations on BI from $\mathcal{N}=2$ Supergravity and the General Ward Identity