BPS bounds in supersymmetric extensions of K field theories

TL;DR

This paper shows that supersymmetric extensions of generalized K field theories have a BPS energy bound, with soliton solutions saturating it, and suggests the bound appears as a central extension in the SUSY algebra.

Contribution

It demonstrates the existence of BPS bounds in supersymmetric K field theories and links these bounds to the SUSY algebra structure.

Findings

Static energy satisfies a BPS bound in each topological sector.

Soliton solutions saturate the BPS bound.

Indications of the BPS bound as a central extension in SUSY algebra.

Abstract

We demonstrate that in the supersymmetric extensions of a class of generalized (or K) field theories introduced recently, the static energy satisfies a BPS bound in each topological sector. Further, the corresponding soliton solutions saturate the bound. We also find strong indications that the BPS bound shows up in the SUSY algebra as a central extension, as is the case in the well-known supersymmetric field theories with standard kinetic terms.