Coupling of the BLG theory to a conformal supergravity background
M. Nishimura, Y. Tanii
TL;DR
This paper develops a detailed coupling of the BLG theory to a conformal supergravity background, deriving transformation laws and the complete Lagrangian, and applies it to obtain the supercurrent multiplet in flat space.
Contribution
It provides the first explicit construction of the coupled BLG theory with an off-shell D=3, N=8 conformal supergravity background, including transformation laws and the Lagrangian.
Findings
Derived local transformation laws from D=4, N=8 supergravity.
Obtained the complete coupled Lagrangian.
Constructed the supercurrent multiplet in flat background.
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.
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