Structure constants for the D-series Virasoro minimal models

Abstract

In this paper expressions are given for the bulk and boundary structure constants of D-series Virasoro minimal models on the upper half plane. It is the continuation of an earlier work on the A-series. The solution for the boundary theory is found first and then extended to the bulk. The modular invariant bulk field content is recovered as the maximal set of bulk fields consistent with the boundary theory. It is found that the structure constants are unique up to redefinition of the fields and in the chosen normalisation exhibit a manifest Z_2-symmetry associated to the D-diagram. The solution has been subjected to random numerical tests against the constraints it has to fulfill.

26 pages, LaTeX2e, uses amsmath,amsfonts,cite. Refs added, some points clarified, typos corrected, version as appeared in NPB (up to a typo in NPB eqn.(57))

References in corpus (4)

• Boundary structure constants for the A-series Virasoro minimal models
• On the Classification of Bulk and Boundary Conformal Field Theories
• A classifying algebra for boundary conditions
• Integrable Boundaries, Conformal Boundary Conditions and A-D-E Fusion Rules

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