Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
Luca V. Delacrétaz, Alberto Nicolis, Riccardo Penco, Rachel A. Rosen
TL;DR
By relaxing certain assumptions about the symmetry group of fluids, the coset construction of low-energy effective actions is used to systematically derive Wess-Zumino (WZ) terms for fluid and isotropic solid systems in two, three, and four spacetime dimensions.
Abstract
We use the coset construction of low-energy effective actions to systematically derive Wess-Zumino (WZ) terms for fluid and isotropic solid systems in two, three and four spacetime dimensions. We recover the known WZ term for fluids in two dimensions as well as the very recently found WZ term for fluids in three dimensions. We find two new WZ terms for supersolids that have not previously appeared in the literature. In addition, by relaxing certain assumptions about the symmetry group of fluids we find a number of new WZ terms for fluids with and without charge, in all dimensions. We find no WZ terms for solids and superfluids.