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Torus conformal blocks and Casimir equations in the necklace channelстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Alkalaev Konstantin, Mandrygin Semyon, Pavlov Mikhail
- Журнал: Journal of High Energy Physics
- Том: 2022
- Номер: 10
- Год издания: 2022
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- DOI: 10.1007/jhep10(2022)091
- Аннотация: We consider the conformal block decomposition in arbitrary exchange channels of a two-dimensional conformal field theory on a torus. The channels are described by diagrams built of a closed loop with external legs (a necklace sub-diagram) and trivalent vertices forming trivalent trees attached to the necklace. Then, the n-point torus conformal block in any channel can be obtained by acting with a number of OPE operators on the k-point torus block in the necklace channel at k = 1, …, n. Focusing on the necklace channel, we go to the large-c regime, where the Virasoro algebra truncates to the sl(2, ℝ) subalgebra, and obtain the system of the Casimir equations for the respective k-point global conformal block. In the plane limit, when the torus modular parameter q → 0, we explicitly find the Casimir equations on a plane which define the (k + 2)-point global conformal block in the comb channel. Finally, we formulate the general scheme to find Casimir equations for global torus blocks in arbitrary channels.
- Добавил в систему: Арыджан Юлия Абдуррахмановна