Marginal deformations and 3-algebra structures

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 confo...

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Bibliographic Details
Published inNuclear physics. B Vol. 826; no. 3; pp. 456 - 489
Main Authors Akerblom, Nikolas, Sämann, Christian, Wolf, Martin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 21.02.2010
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Summary: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 β-deformations of the ABJM model are indeed marginal to the order we are considering.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2009.08.012