Superconductors from Superstrings

TL;DR

This paper demonstrates that certain strongly coupled 3+1D N=1 quiver conformal field theories with gravity duals can exhibit superfluid states when a chemical potential for R-charge is introduced, leading to condensation of a specific chiral primary operator.

Contribution

It constructs a consistent truncation of type IIB supergravity including a U(1) gauge field and a complex scalar, establishing a link between supergravity and superfluid phases in dual field theories.

Findings

Superfluid states exist in the studied theories with R-charge chemical potential.

Condensation of a specific chiral primary operator occurs in these superfluid states.

The work provides a supergravity framework for analyzing superfluidity in strongly coupled field theories.

Abstract

We establish that in a large class of strongly coupled 3+1 dimensional N=1 quiver conformal field theories with gravity duals, adding a chemical potential for the R-charge leads to the existence of superfluid states in which a chiral primary operator of the schematic form O = \lambda\lambda + W condenses. Here \lambda is a gluino and W is the superpotential. Our argument is based on the construction of a consistent truncation of type IIB supergravity that includes a U(1) gauge field and a complex scalar.