We establish that in a large class of strongly coupled ($3+1$)-dimensional $\mathcal{N}=1$ 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 $\mathcal{O}=\lambda \lambda +\mathcal{W}$ condenses. Here $\lambda$ is a gluino and $\mathcal{W}$ 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.

• Received 3 August 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.141601