4.5 Article

A web of 2d dualities: Z2 gauge fields and Arf invariants

Journal

SCIPOST PHYSICS
Volume 7, Issue 1, Pages -

Publisher

SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.7.1.007

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Funding

  1. U.S. Department of Energy [DE-SC0011637]
  2. STFC [ST/P000681/1]
  3. Simons Investigator Award
  4. Junior Research Fellowship at Gonville & Caius College, Cambridge
  5. Wolfson Royal Society Research Merit Award
  6. STFC [ST/P000681/1] Funding Source: UKRI

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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(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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