Towards a field-theory interpretation of bottom-up holography

TL;DR

This paper explores how bottom-up holography results for conductivity and fermionic self-energy can be understood through field-theoretic derivations, aiming to clarify the holographic dictionary in condensed matter applications.

Contribution

It provides two field-theoretic derivations of holographic results and discusses how to compute conductivity consistent with Ward identities.

Findings

Two field-theoretic derivations of holographic results

Clarification of conductivity calculations with Ward identities

Potential insights into the holographic dictionary in AdS/CMT

Abstract

We investigate recent results for the electrical conductivity and the fermionic self-energy, obtained in a holographic bottom-up model for a relativistic charge-neutral conformal field theory. We present two possible field-theoretic derivations of these results, using either a semiholographic or a holographic point of view. In the semiholographic interpretation, we also show how, in general, the conductivity should be calculated in agreement with Ward identities. The resulting field-theory interpretation may lead to a better understanding of the holographic dictionary in applied AdS/CMT.