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)
Full text not currently available from Enlighten.
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 |
University Staff: Request a correction | Enlighten Editors: Update this record