Higher Derivative BLG: Lagrangian and Supersymmetry Transformations

TL;DR

This paper derives the four-derivative corrected Lagrangian and supersymmetry transformations for the Euclidean Bagger-Lambert-Gustavsson theory, confirming supersymmetry invariance and algebra closure at this order.

Contribution

It provides the explicit form of higher-derivative corrections and demonstrates supersymmetry invariance and algebra closure for the Euclidean BLG theory.

Findings

Supersymmetric invariance of the corrected Lagrangian established

All numerical coefficients in the corrections determined

Supersymmetry algebra closes on scalar and gauge fields

Abstract

Working to lowest non-trivial order in fermions, we consider the four-derivative order corrected Lagrangian and supersymmetry transformations of the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric invariance of the Lagrangian we determine all numerical coefficients in the system. In addition, the supersymmetry algebra is shown to close on the scalar and gauge fields. We also comment on the extension to Lorentzian and other non-Euclidean $\mathcal{N}=8$ 3-algebra theories.