One-loop corrections to Bagger-Lambert theory

Abstract

We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard Chern- Simons action coupled to matter. We use this action to compute self-energies and vertex corrections at one-loop order. Non-renormalization of the coupling constant comes out as a direct consequence of the Lie 3-algebra structure underlying the Lie algebra.

18 pages, v2: scalar and fermion fields contribute an equal amount to the gluon selfenergy and do not cancel

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