Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions

Abstract

The shear viscosity, eta, of a fermi gas with non-relativistic conformal symmetry in two spatial dimensions is investigated. We find that eta/s, s being the entropy density, diverges as a gas of free particles in this system. It is in contrast to the eta/s=1/(4 pi) found using non-relativistic AdS/CFT correspondence, which requires a strongly interacting CFT. It implies the unitary fermi gas in two spatial dimensions is not likely to have a weakly interacting gravity dual.

6 pages, 1 figure; minor corrections and references added

References in corpus (4)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• On the spectrum of nonrelativistic AdS/CFT
• AdS/NRCFT for the (super) Calogero model

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