Marginal Deformations and 3-Algebra Structures

Details Marginal Deformations and 3-Algebra Structures Marginal Deformations and 3-Algebra Structures

2009-06-09

arxiv.org/abs/0906.1705v3

Nucl.Phys.B826:456-489,2010

Physics

High Energy Physics

High Energy Physics - Theory

v3: 34 pages, typos fixed and minor clarifications added

Scientific paper

10.1016/j.nuclphysb.2009.08.012

We study marginal deformations of superconformal Chern-Simons matter theories that are based on 3-algebras. For this, we introduce the notion of an associated 3-product, which captures very general gauge invariant deformations of the superpotentials of the BLG and ABJM models. We also consider conformal multi-trace deformations preserving N=2 supersymmetry. We then use N=2 supergraph techniques to compute the two-loop beta functions of these deformations. Besides confirming conformal invariance of both the BLG and ABJM models, we also verify that the recently proposed beta-deformations of the ABJM model are indeed marginal to the order we are considering.

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