University of Hertfordshire

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Original languageEnglish
Article numberrnx225
Number of pages83
JournalInternational Mathematical Research Notices
Journal publication date25 Sep 2017
Early online date25 Sep 2017
DOIs
Publication statusE-pub ahead of print - 25 Sep 2017

Abstract

Recently a new class of quantum integrable models, the cyclotomic Gaudin models, were described in arXiv:1409.6937, arXiv:1410.7664. Motivated by these, we identify a class of affine hyperplane arrangements that we call cyclotomic discriminantal arrangements. We establish correspondences between the flag and Aomoto complexes of such arrangements and chain complexes for nilpotent subalgebras of Kac-Moody type Lie algebras with diagram automorphisms. As a byproduct, we show that the Bethe vectors of cyclotomic Gaudin models associated to diagram automorphisms are nonzero.

Notes

This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematical Research Notices following peer review. Under embargo. Embargo end date: 25 September 2018. The version of record is available online at: https://doi.org/10.1093/imrn/rnx225.

ID: 10026164