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Boundary structure constants for the A-series Virasoro minimal models

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arxiv hep-th/9811178 v2 pith:LGCLBL4Q submitted 1998-11-19 hep-th

Boundary structure constants for the A-series Virasoro minimal models

classification hep-th
keywords constantsstructuregivena-seriesboundarybulkconstraintsform
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider A-series modular invariant Virasoro minimal models on the upper half plane. From Lewellen's sewing constraints a necessary form of the bulk and boundary structure constants is derived. Necessary means that any solution can be brought to the given form by rescaling of the fields. All constants are expressed essentially in terms of fusing (F-) matrix elements and the normalisations are chosen such that they are real and no square roots appear. It is not shown in this paper that the given structure constants solve the sewing constraints, however random numerical tests show no contradiction and agreement of the bulk structure constants with Dotsenko and Fateev. In order to facilitate numerical calculations a recursion relation for the F-matrices is given.

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Cited by 2 Pith papers

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  2. Fusion of Integrable Defects and the Defect $g$-Function

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    Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.