Classical and quantum conformal field theories

zbMATH Open1433.17037arXiv1402.2943MaRDI QIDQ4642087

Shintarou Yanagida

Publication date: 18 May 2018

Abstract: Following the formuation of Borcherds, we develop the theory of (quantum) vertex algebras, including several concrete examples. We also investigate the relationship between the vertex algebra and the chiral algebra due to Beilinson and Drinfeld.

Full work available at URL: https://arxiv.org/abs/1402.2943

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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