Open Descendants in Conformal Field Theory

Details Open Descendants in Conformal Field Theory Open Descendants in Conformal Field Theory

1996-05-07

arxiv.org/abs/hep-th/9605042v1

Fortsch.Phys. 44 (1996) 585-596; Nucl.Phys.Proc.Suppl. 55B (1997) 200-209

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LATEX, 4 eps figures. Contribution to the Proceedings of the CERN Meeting on STU Dualities, Dec. 95

Scientific paper

10.1016/S0920-5632(97)00080-7

Open descendants extend Conformal Field Theory to unoriented surfaces with boundaries. The construction rests on two types of generalizations of the fusion algebra. The first is needed even in the relatively simple case of diagonal models. It leads to a new tensor that satisfies the fusion algebra, but whose entries are signed integers. The second is needed when dealing with non-diagonal models, where Cardy's ansatz does not apply. It leads to a new tensor with positive integer entries, that satisfies a set of polynomial equations and encodes the classification of the allowed boundary operators.

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