The Affine Weyl Group and Modular Invariant Partition Functions

Altschuler, D.; Lacki, J.; Zaugg, P.

doi:10.1016/0370-2693(88)91664-4

The Affine Weyl Group and Modular Invariant Partition Functions

Nov, 1987

4 pages

Published in:

Phys.Lett.B 205 (1988) 281-284

Published: 1988

DOI:

10.1016/0370-2693(88)91664-4

Report number:

UGVA-DPT-1987/11-555

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Abstract: (Elsevier)

We give a method for constructing infinite series of modular invariant partition functions bilinear in affine Kac-Moody characters. We proceed by modifying the diagonal solution using a group of transformations related to the affine Weyl group. This group permutes the dominant highest weights of the same level. New series of solutions are for the algebras A , C , D and E .

FIELD THEORY: CONFORMAL
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: PARTITION FUNCTION
INVARIANCE: REPARAMETRIZATION
group: Weyl
ALGEBRA: KAC-MOODY
ALGEBRA: REPRESENTATION

References(7)

Figures(0)

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