Infrared stability of ABJ-like theories
Abstract
We consider marginal deformations of the superconformal ABJM/ABJ models which preserve N=2 supersymmetry. We determine perturbatively the spectrum of fixed points and study their infrared stability. We find a closed line of fixed points which is IR stable. The fixed point corresponding to the ABJM/ABJ models is stable under marginal deformations which respect the original SU(2)xSU(2) invariance, while deformations which break this group destabilize the theory which then flows to a less symmetric fixed point. We discuss the addition of flavor degrees of freedom. We prove that in general a flavor marginal superpotential does not destabilize the system in the IR. An exception is represented by a marginal coupling which mixes matter charged under different gauge sectors. Finally, we consider the case of relevant deformations which should drive the system to a strongly coupled IR fixed point recently investigated in arXiv:0909.2036 [hep-th].
Keywords
Cite
@article{arxiv.0910.5200,
title = {Infrared stability of ABJ-like theories},
author = {Marco S. Bianchi and Silvia Penati and Massimo Siani},
journal= {arXiv preprint arXiv:0910.5200},
year = {2015}
}
Comments
1+11 pages, 4 figures; v2: minor corrections