Marginal deformations and 3-algebra structures

Nikolas Akerblom, Christian Saemann, Martin Wolf

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)456–489
JournalNuclear Physics B
Issue number3
Early online date11 Aug 2009
Publication statusPublished - 21 Feb 2010


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