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Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models

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A bstractWe study Virasoro minimal-model 4-point conformal blocks on the sphere and 0-point conformal blocks on the torus (the Virasoro characters), as solutions of Zamolodchikov-type recursion relations. In particular, we… Click to show full abstract

A bstractWe study Virasoro minimal-model 4-point conformal blocks on the sphere and 0-point conformal blocks on the torus (the Virasoro characters), as solutions of Zamolodchikov-type recursion relations. In particular, we study the singularities due to resonances of the dimensions of conformal fields in minimal-model representations, that appear in the intermediate steps of solving the recursion relations, but cancel in the final results.

Keywords: type recursion; virasoro minimal; solutions zamolodchikov; zamolodchikov type; recursion relations; recursion

Journal Title: Journal of High Energy Physics
Year Published: 2018

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