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arxiv: 1206.5388 · v5 · pith:BRCAFGVVnew · submitted 2012-06-23 · ✦ hep-th

Coupling of the BLG theory to a conformal supergravity background

classification ✦ hep-th
keywords supergravitybackgroundconformalobtainedtheorycoupledlawslocal
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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.

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