4.3 Article

q-Virasoro/W algebra at root of unity and parafermions

Journal

NUCLEAR PHYSICS B
Volume 889, Issue -, Pages 25-35

Publisher

ELSEVIER
DOI: 10.1016/j.nuclphysb.2014.10.006

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Funding

  1. Ministry of Education, Science and Culture, Japan [23540316]
  2. Grants-in-Aid for Scientific Research [23540316] Funding Source: KAKEN

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We demonstrate that the parafermions appear in the r-th root of unity limit of q-Virasoro/W-n algebra. The proper value of the central charge of the coset model (sl) over cap (n)(r)circle plus(sl) over cap (n)(m-n)/(sl) over cap (n)(m-n+r) is given from the parafermion construction of the block in the limit. (C) 2014 The Authors. Published by Elsevier B.V.

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