English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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

Cubic hypergeometric integrals of motion in affine Gaudin models