University of Hertfordshire

By the same authors

Cubic hypergeometric integrals of motion in affine Gaudin models

Research output: Contribution to journalArticle

Documents

View graph of relations
Original languageEnglish
JournalAdvances in Theoretical and Mathematical Physics
Journal publication date17 May 2019
Publication statusAccepted/In press - 17 May 2019

Abstract

We construct cubic Hamiltonians for quantum Gaudin models of affine types $\hat{\mathfrak{sl}}_M$. They are given by hypergeometric integrals of a form we recently conjectured in arXiv:1804.01480. We prove that they commute amongst themselves and with the quadratic Hamiltonians. We prove that their vacuum eigenvalues, and their eigenvalues for one Bethe root, are given by certain hypergeometric functions on a space of affine opers.

Notes

24 pages, latex

ID: 17049682