Periodicity and integrability for the cube recurrence
Name
209_2020_2667_ReferencePDF.pdf
Size
641.55 KB
Format
Adobe PDF
Checksum (MD5)
336b9d5c48015fff0cec55fe161e75ae
Author(s)
Galashin, Pavel
Date Issued
April 2021
Journal
Mathematische Zeitschrift
Publisher
Springer Berlin Heidelberg
Citation
Galashin, P. Periodicity and integrability for the cube recurrence. Math. Z. 299, 1533–1563 (2021)
Version
Author's final manuscript
Abstract
Abstract
Zamolodchikov periodicity is a property of T- and Y-systems, arising in the thermodynamic Bethe ansatz. Zamolodchikov integrability was recently considered as its affine analog in our joint work with P. Pylyavskyy. Here we prove periodicity and integrability for similar discrete dynamical systems based on the cube recurrence, also known as the discrete BKP equation. The periodicity part was conjectured by Henriques in 2007.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00209-020-02667-6
