Gravity duals for logarithmic conformal field theories

TL;DR

This paper explores potential gravity duals for logarithmic conformal field theories, which are relevant for disordered systems, by proposing two candidate models involving three-dimensional massive gravity at a chiral point.

Contribution

It introduces two viable gravity dual models for logarithmic conformal field theories with vanishing central charge, expanding the holographic correspondence to these complex systems.

Findings

Proposes two candidate gravity duals involving massive gravity in three dimensions.

Establishes a connection between logarithmic CFTs and chiral point massive gravity.

Provides a framework for studying disordered systems via holography.

Abstract

Logarithmic conformal field theories with vanishing central charge describe systems with quenched disorder, percolation or dilute self-avoiding polymers. In these theories the energy momentum tensor acquires a logarithmic partner. In this talk we address the construction of possible gravity duals for these logarithmic conformal field theories and present two viable candidates for such duals, namely theories of massive gravity in three dimensions at a chiral point.