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| Original language | English |
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| Article number | rnx225 |
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| Pages (from-to) | 3376–3458 |
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| Number of pages | 83 |
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| Journal | International Mathematical Research Notices |
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| Volume | 2019 |
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| Issue | 11 |
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| Early online date | 25 Sep 2017 |
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| DOIs | |
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| Publication status | E-pub ahead of print - 25 Sep 2017 |
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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