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Modular transformations of c > = to 1 Virasoro characters

Authors
  • Lacki, J.
  • Ruiz-Altaba, M.
  • Zaugg, P.
Publication Date
Jan 01, 1990
Identifiers
DOI: 10.1016/0370-2693(90)91891-E
OAI: oai:inspirehep.net:297031
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

Abstract

We study the action of the modular group on the unitary Virasoro characters when c ⩾1. In the case of a discrete distribution of primary fields, the characters cannot transform linearly unless pathological convergence properties are allowed. In the continuous case, a unique linear transformation exists, but the vacuum character falls outside the transformed spectrum except at c =1; in this case we explicitly construct a continuous modular-invariant partition function, identified with that of a free uncompactified boson. We discuss possible physical implications of our findings.

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