A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants
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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.
2021 ◽
Vol 2105
(1)
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pp. 012002
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2009 ◽
Vol 24
(22)
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pp. 1721-1730
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1998 ◽
Vol 09
(02)
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pp. 129-152
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