Abstract
The interplay between symmetry and topology is one of the most exciting avenues of modern condensed matter research. Here, the authors propose a new and unified approach for describing the low-energy physics of two-dimensional spin-singlet superconductors, placing them in a class of topologically ordered states akin to quantum Hall fluids and spin liquids. Starting from a microscopic model of two-dimensional paired fermions with a dynamical electromagnetism (that is also confined to two spatial dimensions), the authors derive Chern-Simons theories for all spin-singlet gapped superconductors, including $s$-wave and chiral states. The topological field theories constructed here thus pave the way towards understanding superconductors as symmetry-enriched topological phases of matter.
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