Comments on string theory backgrounds with non-relativistic conformal symmetry

TL;DR

This paper explores non-relativistic conformal quantum mechanics derived from field theories with gravity duals, analyzing their thermodynamics, string theory embeddings, and constructing finite temperature and density solutions.

Contribution

It provides explicit examples of gravity duals for non-relativistic conformal theories and develops consistent Kaluza-Klein truncations of type IIB supergravity.

Findings

Computed thermodynamic properties of non-relativistic conformal systems.

Constructed finite temperature and density solutions with non-relativistic symmetry.

Presented explicit gravity dual examples and string theory embeddings.

Abstract

We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal quantum mechanical theory can have a gravity dual description in a suitable finite temperature and finite density regime. Using this we compute the thermodynamic properties of the system. We give an explicit example where we display both the conformal quantum mechanical theory as well as the gravity dual. We also discuss the string theory embedding of certain backgrounds with non-relativistic conformal symmetry that were recently discussed. Using this, we construct finite temperature and finite density solutions, with asymptotic non-relativistic conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations of type IIB supergravity to a five dimensional theory with massive vector fields.