Coupling of the BLG theory to a conformal supergravity background
arXiv:1206.5388 · doi:10.1007/JHEP01(2013)120
Abstract
The Bagger-Lambert-Gustavsson theory is coupled to an off-shell D=3, N=8 conformal supergravity background. Local transformation laws of the conformal supergravity multiplet are obtained from those of the D=4, N=8 SO(8) gauged supergravity. The complete Lagrangian and local transformation laws of the coupled theory are obtained. As an application the supercurrent multiplet in a flat background is obtained.
26 pages; v2: a reference added, minor corrections; v3: Introduction and Discussion expanded, a sign error in (3.5) corrected; v4: minor changes; v5: typos