Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine s l 2 Gaudin model

Tommaso Franzini; Charles Young

doi:10.1088/1751-8121/acbacf

Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine s l 2 Gaudin model

Tommaso Franzini, Charles Young

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Abstract

In this work we will use a general procedure to construct higher local Hamiltonians for the affine sl2 Gaudin model. We focus on the first non-trivial example, the quartic Hamiltonians. We show by direct calculation that the quartic Hamiltonians commute amongst themselves and with the quadratic Hamiltonians which define the model. We go on to introduce a certain next-to-leading-order semi-classical limit of the model. In this limit, we are able to write down the full hierarchy of higher local Hamiltonians and prove that they commute.

Original language	English
Article number	105201
Pages (from-to)	1-25
Number of pages	25
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	56
Issue number	10
DOIs	https://doi.org/10.1088/1751-8121/acbacf
Publication status	Published - 21 Feb 2023

Keywords

Paper
Mathematical physics
integrable models
integrable systems
affine Gaudin models
Gaudin models
higher Hamiltonians
sl2 Gaudin model
higher Hamiltonians at leading order

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10.1088/1751-8121/acbacfLicence: CC BY

Final_Version
© 2023 The Author(s). Published by IOP Publishing Ltd. This is an open access article distributed under the Creative Commons Attribution License, to view a copy of the license, see: https://creativecommons.org/licenses/by/4.0/
Final published version, 292 KBLicence: CC BY

Cite this

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Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine s l 2 Gaudin model

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