New parafermion SU(2) coset and N=2 superconformal field theories - INSPIRE

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New parafermion SU(2) coset and N=2 superconformal field theories

Chang-rim Ahn
(
- Cornell U., LNS
)
,
Stephen-wei Chung
(
- Cornell U., LNS
)
,
S.H.Henry Tye
(
- Cornell U., LNS
)

Apr, 1991

50 pages

Published in:

Nucl.Phys.B 365 (1991) 191-240

Published: 1991

DOI:

10.1016/0550-3213(91)90611-Z

Report number:

CLNS-91-1053

View in:

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Abstract: (Elsevier)

In this paper we construct new parafermion theories, generalizing the Z L parafermion theory from integer L to rational L . These non-unitary parafermion theories (which are also defined as SL(2, R ) L /U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU (2) L × SU (2) K SU (2) K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

field theory: conformal
dimension: 2
supersymmetry
parastatistics
current algebra
symmetry: SU(2)
coset space

References(50)

Figures(0)

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