Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory

Details Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory

2008-12-09

arxiv.org/abs/0812.1772v2

Physics

High Energy Physics

High Energy Physics - Theory

23+1 pages, no figure, v2: typos corrected, references added

Scientific paper

We study the membrane scattering in the three-dimensional N=6 supersymmetric Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena and conjectured to be dual to M-theory on $AdS_4 \times S^7/Z_k$. We compute the one-loop effective action up to the $v^4$ terms in the derivative expansion and find exact agreement with the results from the supergravity computations. In particular, our results imply that the $v^2$ term is not renormalized and tree-level exact.

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