Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations
Name
1809.01735.pdf
Description
Submitted version
Size
576.28 KB
Format
Adobe PDF
Checksum (MD5)
cb45eb12f0c5de8a290caf36dca01be2
Author(s)
De Sole, Alberto
Kac, Victor G
Valeri, Daniele
Wakimoto, Minoru
Date Issued
2019
Journal
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Version
Original manuscript
Abstract
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-local, and their connections to the theory of integrable differential-difference Hamiltonian equations. We establish relations of these notions to q-deformed W-algebras and lattice Poisson algebras. We introduce the notion of Adler type pseudodifference operators and apply them to integrability of differential-difference Hamiltonian equations.
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/10.1007/S00220-019-03416-5
