A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View

TL;DR

This paper explores a non-relativistic logarithmic conformal field theory emerging from a specific scalar field setup in a Lifshitz background, revealing logarithmic modes and boundary correlations through holographic methods.

Contribution

It introduces a novel non-relativistic logarithmic conformal field theory derived from a fourth-order scalar field in Lifshitz spacetime, using holography to analyze boundary correlations.

Findings

Logarithmic modes appear at a degenerate mass limit.

Two-point functions indicate a non-relativistic logarithmic CFT.

Holographic calculations support the boundary theory's structure.

Abstract

We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations. We specialize to the limit that the mass of the scalar field degenerates with that of the auxiliary field and show that logarithmic modes appear. Using non-relativistic holographic methods we calculate the two-point correlation functions of the boundary operators in this limit and find evidence for a non-relativistic logarithmic conformal field theory at the boundary.