On odd number of fermion zero modes on solitons in quantum field theory and string/M theory

Abstract

Abstract We argue that having an odd number of Majorana fermion zero modes on a dynamical point-like soliton signifies an inconsistency in a theory with 3+1 and higher dimensions. We check this statement in a couple of examples in field theory and in string/M theory.

Keywords

• Anomalies in Field and String Theories
• Solitons Monopoles and Instantons
• M-Theory
• Flux Compactifications