Generalized Bosonic Construction of Virasoro Algebras

Dunne, Gerald V.; Halliday, I.G.; Suranyi, P.

doi:10.1016/0370-2693(88)91014-3

Generalized Bosonic Construction of Virasoro Algebras

Jun, 1988

5 pages

Published in:

Phys.Lett.B 213 (1988) 139-143

Published: Oct 20, 1988

DOI:

10.1016/0370-2693(88)91014-3

Report number:

IMPERIAL/TP/87-88/25

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Abstract: (Elsevier)

Energy-momentum tensors of conformal field theories and some of their primary fields, including those of parafermionic theories based on simply-laced Lie algebras, are constructed from free bosons. The classification of such theories requires a generalisation of the root systems of Lie algebras. The complete list of such energy-momentum tensors, that can be constructed from two free bosons, includes those of the first four c <1 theories.

ALGEBRA: VIRASORO
ALGEBRA: REPRESENTATION
FIELD THEORY: CONFORMAL
TENSOR: ENERGY-MOMENTUM
OPERATOR: VERTEX

References(12)

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