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A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants

Andreas Karch, David Tong, Carl Turner
2019 SciPost Physics  
We describe a web of well-known dualities connecting quantum field theories in d=1+1 dimensions. The web is constructed by gauging Z_2Z2 global symmetries and includes a number of perennial favourites such as the Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dirac fermion, and T-duality. There are also less-loved examples, such as non-modular invariant c=1 CFTs that depend on a background spin structure.
doi:10.21468/scipostphys.7.1.007 fatcat:rb35w5wtazcvlmthlspfqjio4q