Coset constructions of conformal blocks

Takeshi Ikeda

doi:10.1142/S0217979297001180

Coset constructions of conformal blocks

Takeshi Ikeda^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

On the basis of the coset construction, we obtained canonical maps that relate the sheaf of conformal blocks of the Wess-Zumino-Witten model to those of the unitarizable Virasoro minimal model. We conjectured that the maps are isomorphisms. Making use of spinor realizations, we confirmed the conjecture for the case of the Ising model. We also discussed the coherency of the sheaf of conformal blocks for the Virasoro algebra.

Original language	English
Pages (from-to)	2311-2332
Number of pages	22
Journal	International Journal of Modern Physics B
Volume	11
Issue number	19
DOIs	https://doi.org/10.1142/S0217979297001180
Publication status	Published - 1997 Jul 30
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979297001180

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abstract = "On the basis of the coset construction, we obtained canonical maps that relate the sheaf of conformal blocks of the Wess-Zumino-Witten model to those of the unitarizable Virasoro minimal model. We conjectured that the maps are isomorphisms. Making use of spinor realizations, we confirmed the conjecture for the case of the Ising model. We also discussed the coherency of the sheaf of conformal blocks for the Virasoro algebra.",

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Coset constructions of conformal blocks

Abstract

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