
handle: 2108/49322
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.
19 pages, LATEX, 4 eps figures. Contribution to the Proceedings of the CERN Meeting on STU Dualities, Dec. 95
High Energy Physics - Theory, superstring theory, 1 superstring, Open-string theorie, 2 dimension, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, fusion rule, boundary, High Energy Physics - Theory (hep-th), orbifold, su(2) wzw model, planar duality, Settore MAT/07 - FISICA MATEMATICA, Open-string theories; su(2) wzw models; superstring theory; 1 superstrings; planar duality; fusion rules; 2 dimensions; symmetry; orbifolds; boundary, symmetry
High Energy Physics - Theory, superstring theory, 1 superstring, Open-string theorie, 2 dimension, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, fusion rule, boundary, High Energy Physics - Theory (hep-th), orbifold, su(2) wzw model, planar duality, Settore MAT/07 - FISICA MATEMATICA, Open-string theories; su(2) wzw models; superstring theory; 1 superstrings; planar duality; fusion rules; 2 dimensions; symmetry; orbifolds; boundary, symmetry
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