A Note on Holographic Non-Relativistic Goldstone Bosons

Abstract

We consider a holographic set-up where relativistic invariance is broken by a chemical potential, and a non-abelian internal symmetry is broken spontaneously. We use the tool of holographic renormalization in order to infer what can be learned purely by analytic boundary considerations. We find that the expected Ward identities are correctly reproduced. In particular, we obtain the identity which implies the non-commutation of a pair of broken charges, which leads to the presence of Goldstone bosons with quadratic dispersion relations.

13+7 pages, no figures; v2: added clarification on vanishing chemical potential, version to appear in journal

References in corpus (4)

• Remarks on nonrelativistic Goldstone bosons
• Goldstone bosons in presence of charge density
• Holographic Type II Goldstone bosons
• The Holographic Goldstino

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• Gapped dilatons in scale invariant superfluids
• Geometry of Classical Nambu-Goldstone Fields