Conformally covariant boundary correlation functions with a quantum group

Kalle Kytölä, Eveliina Peltola

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Particular boundary correlation functions of conformal field theory are needed to answer some questions related to random conformally invariant curves known as Schramm–Loewner evolutions (SLE). In this article, we introduce a correspondence and establish its fundamental properties, which are used in the companion articles [JJK16, KP16] to explicitly solve two such problems. The correspondence associates Coulomb gas type integrals to vectors in a tensor product representation of a quantum group, a q-deformation of the Lie algebra sl2. We show that the desired properties of the functions are guaranteed by natural representation-theoretical properties of the vectors.
Original languageEnglish
JournalJOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Early online date30 Aug 2019
DOIs
Publication statusE-pub ahead of print - 30 Aug 2019
MoE publication typeA1 Journal article-refereed

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