Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation

Understand

We present a theory of Galilean-invariant conventional and chiral $p_x \pm ip_y$ fermionic superfluids at zero temperature in two spatial dimensions in terms of a dual gauge theory.

• Our formulation is general coordinate invariant.
• The parity-violating effects are encoded in the Wen-Zee term that gives rise to the Hall viscosity and edge current.
• We show that the relativistic superfluid with the Euler current reduces to the chiral superfluid in the limit $c\to\infty$.