We study the ODE/IM correspondence for ODE associated to g^ -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.
(2016). Bethe Ansatz and the Spectral Theory of Affine Lie Algebra-Valued Connections I. The simply-laced Case [journal article - articolo]. In COMMUNICATIONS IN MATHEMATICAL PHYSICS. Retrieved from https://hdl.handle.net/10446/231055
Bethe Ansatz and the Spectral Theory of Affine Lie Algebra-Valued Connections I. The simply-laced Case
Raimondo, Andrea;
2016-01-01
Abstract
We study the ODE/IM correspondence for ODE associated to g^ -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.| File | Dimensione del file | Formato | |
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1501.07421.pdf
Open Access dal 19/05/2017
Descrizione: This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00220-016-2643-6
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