Supersymmetric K field theories and defect structures

TL;DR

This paper develops supersymmetric K field theories with nonstandard kinetic terms in low dimensions, exploring their potential for topological defect formation and extending to more general models with similar defect solutions.

Contribution

It introduces new supersymmetric K field theories with nonstandard kinetic terms and analyzes their capacity to support topological defects, expanding the scope of supersymmetric models.

Findings

Supersymmetric K field theories can support topological defects.

Existence of defects depends on specific model parameters.

Generalized models also admit defect solutions.

Abstract

We construct supersymmetric K field theories (i.e., theories with a non-standard kinetic term) in 1+1 and 2+1 dimensions such that the bosonic sector just consists of a nonstandard kinetic term plus a potential. Further, we study the possibility of topological defect formation in these supersymmetric models. Finally, we consider more general supersymmetric K field theories where, again, topological defects exist in some cases.