Bosonization of Parafermionic Conformal Field Theories

Dunne, Gerald V.; Halliday, Ian; Suranyi, Peter

doi:10.1016/0550-3213(89)90465-3

Bosonization of Parafermionic Conformal Field Theories

Gerald V. Dunne
(
- MIT, LNS
)
,
Ian Halliday
(
- Imperial Coll., London
)
,
Peter Suranyi
(
- Cincinnati U.
)

Dec, 1988

31 pages

Published in:

Nucl.Phys.B 325 (1989) 526-556

Published: 1989

DOI:

10.1016/0550-3213(89)90465-3

Report number:

MIT-CTP-1663

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We present an explicit construction, in terms of Fubini-Veneziano bosons, of the energy-momentum tensor, parafermionic primary fields and parafermionic operator product algebra for the FateevZamolodchikov-Gepner parafermionic conformal field theories. Other primary fields, including the spin fields and Z k neutral fields, are related to certain momentum states of these bosons. We also show that this bosonization is a special case of a more general construction which associates a Virasoro generator with every (ordered) pair (g, g′) of simply-laced algebras.

FIELD THEORY: CONFORMAL
FERMION
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: BOSONIZATION
FIELD THEORY: OPERATOR PRODUCT EXPANSION
OPERATOR: ALGEBRA
ALGEBRA: VIRASORO
TENSOR: ENERGY-MOMENTUM
SYMMETRY: DISCRETE

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