*Harvard* *Condensed Matter Theory Seminars*

**Vanishing bulk viscosities and conformal invariance of the unitary Fermi gas**

- By putting the unitary Fermi gas in an external gauge field and an external metric, one finds certain symmetries that would be difficult to see otherwise. These include a nonrelativistic version of the general coordinate invariance and a conformal invariance. The physical consequences of these symmmetries are explored. In particular we show that the bulk viscosity of the unitary Fermi gas vanishes in the normal phase. In the superfluid phase, two of the three bulk viscosities vanish, while the third one (zeta_3) can be nonzero.

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