Bethe Ansatz and the spectral theory of affine Lie algebra-valued connections I. The simply-laced case

Masoero, D., Raimondo, A. and Valeri, D. (2016) Bethe Ansatz and the spectral theory of affine Lie algebra-valued connections I. The simply-laced case. Communications in Mathematical Physics, 344(3), pp. 719-750. (doi: 10.1007/s00220-016-2643-6)

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Abstract

We study the ODE/IM correspondence for ODE associated to gˆ-valued connections, for a simply-laced Lie algebra g. We prove that subdominant solutions to the ODE defined in different fundamental representations satisfy a set of quadratic equations called Ψ -system. This allows us to show that the generalized spectral determinants satisfy the Bethe Ansatz equations.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Valeri, Dr Daniele
Authors: Masoero, D., Raimondo, A., and Valeri, D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications in Mathematical Physics
Publisher:Springer
ISSN:0010-3616
ISSN (Online):1432-0916
Published Online:19 May 2016

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