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

Abstract

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 $Ad{S}_4\times S^7/Z_k$. 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.

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

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Cited by in corpus (8)

• The complete superconformal index for N=6 Chern-Simons theory
• Correlation functions of magnon and spike
• Correlation function of dyonic strings
• Finite size effect on the magnon's correlation functions
• Thermodynamics of black M-branes from SCFTs
• The Background Field Method for N = 2, d3 Super Chern-Simons-Matter Theories
• Membrane scattering from Bagger-Lambert theory
• Eight Fermion Terms in the Effective Action of the ABJM Model