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A Web of 2d Dualities: ${\bf Z}_2$ Gauge Fields and Arf Invariants
Published 14 Feb 2019 in hep-th | (1902.05550v5)
Abstract: We describe a web of well-known dualities connecting quantum field theories in $d=1+1$ dimensions. The web is constructed by gauging ${\bf Z}_2$ 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.
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