Conformal Field Theories and Modular Invariant Partition Functions for Parafermion Field Theories

Qiu, Zong-an

doi:10.1016/0550-3213(88)90250-7

Conformal Field Theories and Modular Invariant Partition Functions for Parafermion Field Theories

Zong-an Qiu
(
- Princeton, Inst. Advanced Study
)

Aug, 1987

17 pages

Published in:

Nucl.Phys.B 295 (1988) 171-187

Published: 1988

DOI:

10.1016/0550-3213(88)90250-7

Report number:

IASSNS-HEP-87-36

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Abstract: (Elsevier)

Parafermion conformal field theories with D 2 N discrete symmetry are examined in detail. The structure of field space of parafermion field theories is studied with the help of a projection operator G . Characters of the representations of the twist sector of parafermion algebra and projected characters are given. A new class of modular invariant partition functions, therefore conformal field theories, for parafermion theories are found. We argue that the principal theories correspond to the generic critical SOS models of Andrew, Baxter and Forrest.

FIELD THEORY: CONFORMAL
FIELD THEORY: PARTITION FUNCTION
INVARIANCE: REPARAMETRIZATION
parastatistics
SYMMETRY: DISCRETE
ALGEBRA: REPRESENTATION
MODEL: POTTS

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