Fundamental Flavours, Fields and Fixed Points: A Brief Account

Abstract

In this article we report on a preliminary study, {\it via} Holography, of infrared fixed points in a putative strongly coupled SU$(N_c)$ gauge theory, with $N_f$ fundamental matter, in the presence of additional fields in the fundamental sector, e.g. density or a magnetic field. In an inherently {\it effective} or a {\it 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: AdS${}_m\times {\mathbb{R}}^n$--type, and AdS${}_m\times$EAdS${}_n$--type, where $m$ and $n$ are suitable integers. Both these classes of solutions are {\it non-perturbative} in back-reaction. The AdS${}_m\times$EAdS${}_n$--type contains examples of Bianchi type-V solutions. We also construct explicit numerical flows from an AdS${}_5$ ultraviolet to both an AdS${}_2$ and an AdS${}_3$ IR.

32 pages, 6 figures, references added, published version

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Cited by in corpus (3)

• Backreacted DBI Magnetotransport with Momentum Dissipation
• Flavours and Infra-red Instability in Holography
• Scale invariance with fundamental matters and anomaly: A holographic description