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

Autor: Andreas Karch, David Tong, Carl Turner
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: SciPost Physics, Vol 7, Iss 1, p 007 (2019)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.7.1.007
Popis: 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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