Superconductors for superstrings on AdS_5 x T^{1,1}

TL;DR

This paper constructs a family of supergravity models dual to certain superstring configurations on AdS_5 x T^{1,1}, revealing a superconducting phase transition characterized by scalar condensation at low temperatures.

Contribution

It introduces a new one-parameter family of supergravity Lagrangians modeling superstrings on AdS_5 x T^{1,1} and explores their thermodynamic phases and scalar condensates.

Findings

Charged black holes with scalar hair dominate below a critical temperature.

The system exhibits a superconducting phase with scalar operator condensation.

The models are dual to specific operators in Klebanov-Witten superconformal theory.

Abstract

We construct a one-parameter family of five-dimensional N=2 supergravity Lagrangians with an SU(2,1) / U(2) hypermultiplet. For certain values of the parameter, these are argued to describe the dynamics of scalar modes of superstrings on AdS_5 x T^{1,1}, and therefore to be dual to specific chiral primary operators of Klebanov-Witten superconformal field theory. We demonstrate that, below a critical temperature, the thermodynamics is dominated by charged black holes with hair for the scalars that are dual to the operator of lowest conformal dimension 3/2. The system thus enters into a superconducting phase where <Tr[A_k B_l]> condenses.