Marginal Deformations and 3-Algebra Structures

Understand

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.