Marginal Deformations and 3-Algebra Structures
High Energy Physics - Theory
2010-02-09 v3
Abstract
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.
Cite
@article{arxiv.0906.1705,
title = {Marginal Deformations and 3-Algebra Structures},
author = {Nikolas Akerblom and Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:0906.1705},
year = {2010}
}
Comments
v3: 34 pages, typos fixed and minor clarifications added