Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-14
Phys.Lett. B381 (1996) 97-104
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Latex, 3 figures
Scientific paper
10.1016/0370-2693(96)00578-3
In non-diagonal conformal models, the boundary fields are not directly related to the bulk spectrum. We illustrate some of their features by completing previous work of Lewellen on sewing constraints for conformal theories in the presence of boundaries. As a result, we include additional open sectors in the descendants of $D_{odd}$ $SU(2)$ WZW models. A new phenomenon emerges, the appearance of multiplicities and fixed-point ambiguities in the boundary algebra not inherited from the closed sector. We conclude by deriving a set of polynomial equations, similar to those satisfied by the fusion-rule coefficients $N_{ij}^k$, for a new tensor $A_{a b}^i$ that determines the open spectrum.
Pradisi Gianfranco
Sagnotti Augusto
Stanev Yassen S.
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