CFT correlators, W $$ \mathcal{W} $$ -algebras and generalized Catalan numbers

Abstract In two spacetime dimensions the Virasoro heavy-heavy-light-light (HHLL) vacuum block in a certain limit is governed by the Catalan numbers. The equation for their generating function can be generalized to a differential equation which the logarithm of the block satisfies. We show that a sim...

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Bibliographic Details
Main Authors: Robin Karlsson, Manuela Kulaxizi, Gim Seng Ng, Andrei Parnachev, Petar Tadić
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2022)162