Fundamental flavours, fields and fixed points: a brief account

Abstract

In this article we report on a preliminary study, via Holography, of infrared fixed points in a putative strongly coupled SU(Nc) gauge theory, with Nf fundamental matter, in the presence of additional fields in the fundamental sector, e.g. density or a magnetic field. In an inherently effective or a bottom up approach, we work with a simple system: Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld (DBI) matter. We obtain a class of exact solutions, dual to candidate grounds states in the infrared (IR), with a scaling ansatz for various fields. These solutions are of two kinds: {mathrm{AdS}}_mtimes {mathrm{mathbb{R}}}^n -type, which has appeared in the literature before; and AdSm×EAdSn-type, where m and n are suitable integers. Both these classes of solutions are non-perturbative in back-reaction. The AdSm×EAdSn-type contains examples of Bianchi type-V solutions. We also construct explicit numerical flows from an AdS5 ultraviolet to both an AdS2 and an AdS3 IR.