Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace

TL;DR

This paper explores the gauge sector of the BLG theory in N=1 superspace, deriving higher-derivative supersymmetric terms through a novel Higgs mechanism, revealing their reducibility to SYM terms with derivatives.

Contribution

It introduces a method to derive higher-order supersymmetric gauge terms in BLG theory using a new Higgs mechanism, expanding understanding of its structure.

Findings

Higher-derivative terms contain anti-commutators of superfield strengths.

All derived terms reduce to SYM terms with higher derivatives.

The approach clarifies the gauge sector structure in N=1 superspace.

Abstract

We study the structure of the gauge sector of the Bagger-Lambert-Gustavsson (BLG) theory in the form proposed by van Raamsdonk, adapted to 3D, N=1 superspace. By using the novel Higgs mechanism proposed by Mukhi and Papageorgakis, we derive the manifestly N=1 supersymmetric higher-order terms (beyond the supersymmetric Yang-Mills action) that follow from the BLG theory in its expansion with respect to the inverse gauge coupling constant squared. We find that all those terms have at least one anti-commutator of the super-YM field strength superfields as a factor, and thus are reducible to the SYM terms with the higher (spacetime) derivatives.