Note on holographic nonrelativistic Goldstone bosons

We consider a holographic setup where relativistic invariance is broken by a chemical potential, and anon-Abelian internal symmetry is broken spontaneously.We use the tool of holographic renormalization inorder to infer what can be learned purely by analytic boundary considerations. We find that the expectedWard identities are correctly reproduced. In particular, we obtain the identity which implies thenoncommutation of a pair of broken charges, which leads to the presence of Goldstone bosons withquadratic dispersion relations.SCOPUS: ar.j