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2019

Effective gauge theories of superfluidity with topological order

Hirono, Yuji, Tanizaki, Yuya

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We discuss the low-energy dynamics of superfluidity with topological order in $(3+1)$ spacetime dimensions.

We generalize a topological $BF$ theory by introducing a non-square $K$ matrix, and this generalized $BF$ theory can describe massless Nambu-Goldstone bosons and anyonic statistics between vortices and quasiparticles.
We discuss the general structure of discrete and continuous higher-form symmetries in this theory, which can be used to classify quantum phases.
We describe how to identify the appearance of topological order in such systems and discuss its relation to a mixed 't Hooft anomaly between discrete higher-form symmetries.

Effective gauge theories of superfluidity with topological order · Around

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