On the structure of quantum vertex algebras
Name
1906.05051.pdf
Description
Submitted version
Size
421.54 KB
Format
Adobe PDF
Checksum (MD5)
ccaddedafbdfe599e6bef0530f78aa82
Author(s)
De Sole, Alberto
Gardini, Matteo
Kac, Victor G
Date Issued
2020
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Version
Original manuscript
Abstract
© 2020 Author(s). A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and braided locality axioms. We develop a structure theory of quantum vertex algebras, parallel to that of vertex algebras. In particular, we introduce braided n-products for a braided state-field correspondence and prove for quantum vertex algebras a version of the Borcherds identity.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/1.5121626
