Holographic Renormalization Group and Fermionic Boundary Data

TL;DR

This paper explores how holographic renormalization group equations are affected by fermions and form fields in the bulk, revealing new consistency conditions and a Ward identity in the dual quantum field theory.

Contribution

It introduces a framework for incorporating fermions and form fields into holographic RG equations, establishing new constraints and identities in the dual theory.

Findings

Derived consistency conditions on form field ranks and fermion-form couplings.

Established a novel Ward identity in the holographic dual.

Extended holographic RG formalism to include fermionic boundary data.

Abstract

We discuss Holographic Renormalization Group equations in the presence of fermions and form fields in the bulk. The existence of a holographically dual quantum field theory for a given bulk gravity theory imposes consistency conditions on the ranks of the form fields, the fermion - form field couplings, and leads to a novel Ward identity.