Twisted vertex algebras, bicharacter construction and boson-fermion correspondences

DOI10.1063/1.4842075zbMath1376.81035arXiv1206.4026OpenAlexW3103740259MaRDI QIDQ5412771

Iana I. Anguelova

Publication date: 28 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4026

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hopf algebras, quantum groups and related topics (16T99)

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Multilocal bosonization ⋮ Boson-fermion correspondence of type D-A and multi-local Virasoro representations on the Fock space $\mathit {F^{\otimes \frac{1}{2}}}$F⊗12 ⋮ The second bosonization of the CKP hierarchy ⋮ Multilocal fermionization ⋮ \(N\)-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras ⋮ The two bosonizations of the CKP hierarchy: Overview and character identities ⋮ Boson-Fermion Correspondence of Type B and Twisted Vertex Algebras ⋮ A universe field theory for JT gravity ⋮ Virasoro Structures in the Twisted Vertex Algebra of the Particle Correspondence of Type C

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