Periodicity and integrability for the cube recurrence

Author(s)
Galashin, Pavel
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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.
Date issued
2021-04
URI
https://hdl.handle.net/1721.1/133098
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1432-1823
0025-5874
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