Nonrelativistic Cousin of QCD

TL;DR

This paper constructs a holographic model linking nonrelativistic field theories to M-theory backgrounds derived from QCD, revealing geometric realizations of nonrelativistic dynamics.

Contribution

It introduces a new holographic construction connecting QCD duals to nonrelativistic geometries via M-theory compactification.

Findings

Derived a deformed Schrödinger geometry from QCD dual backgrounds.

Studied properties of the nonrelativistic field theory holographically.

Established a geometric realization of nonrelativistic dynamics in string/M-theory.

Abstract

Based on the uniqueness and universality of gravity, it is clear that theories with different dynamical exponents are related in the holographic approach. Concretely, we construct an M-theory background from pure QCD dual and show that a deformed $Sch_{6}^{4}$ geometry is obtained by compactification from the same background. The deformed $Sch_{6}^{4}$ geometry is considered as the geometrical realization of a four-dimensional nonrelativistic field theory. Several aspects of this nonrelativistic field theory are studied in the holographic picture.