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Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields

Giovanni Feverati, Paul A. Pearce

arXiv:hep-th/0211185Nuclear Physics BJun 21, 200319 citations

Braid matrices and structure constants for minimal conformal models

Giovanni Felder, J�rg Fr�hlich, G. Keller

Communications in Mathematical PhysicsDec 1, 1989109 citations

Boundary structure constants for the A-series Virasoro minimal models

Ingo Runkel B

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.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.

Jan 1, 199898 citations

Observables of boundary RG flows from string field theory

Jaroslav Scheinpflug, Martin Schnabl, Jakub Vošmera

A bstract We present simple explicit formulae for the change of the g -function, boundary state, boundary spectrum and structure constants between the endpoints of short boundary RG flows at next-to-leading order. The formulae are derived using open string field theory and tested on integrable RG flows between conformal boundary states in unitary Virasoro minimal models.

arXiv:2510.07155Journal of High Energy PhysicsApr 9, 20262 citations

A renormalization group study of asymmetrically coupled minimal models

Marc-André Lewis, Pascal Simon

arXiv:cond-mat/9805026Physics Letters BSep 1, 19984 citations

Representations of the Virasoro algebra from lattice models

W.M. Koo, Hubert Saleur

arXiv:hep-th/9312156Nuclear Physics BSep 1, 199489 citations

Boundary structure constants for the A-series Virasoro minimal models

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