More on the scalar-tensor B-F theory

TL;DR

This paper explores a supersymmetric membrane B-F theory, demonstrating its maximal supersymmetry, relation to L-BLG theory, and providing explicit fuzzy-sphere solutions with tensor field configurations.

Contribution

It introduces a supersymmetric extension of the membrane B-F theory with matter and Chern-Simons fields, establishing its maximal supersymmetry and connection to L-BLG theory.

Findings

The theory has maximal supersymmetry.

It is related to L-BLG theory via a field map.

Fuzzy-sphere solutions are constructed.

Abstract

This work is based on an earlier proposal \cite{hs} that the membrane B-F theory consists of matter fields alongwith Chern-Simons fields as well as the auxiliary pairs of scalar and tensor fields. We especially discuss the supersymmetry aspects of such a membrane theory. It is concluded that the theory possesses maximal supersymmetry and it is related to the L-BLG theory via a field map. We obtain fuzzy-sphere solution and corresponding tensor field configuration is given.