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.

Masoero, D., Raimondo, A., 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), 719-750 [10.1007/s00220-016-2643-6].

Bethe Ansatz and the Spectral Theory of Affine Lie Algebra-Valued Connections I. The simply-laced Case

Raimondo A.;
2016

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.
Articolo in rivista - Articolo scientifico
Quantum Drinfeld-Sokolov, Bethe Ansatz, Kac-Moody algebras, ODE/IM correspondence
English
719
750
32
Masoero, D., Raimondo, A., 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), 719-750 [10.1007/s00220-016-2643-6].
File in questo prodotto:
File Dimensione Formato  
1501.07421.pdf

accesso aperto

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 431.03 kB
Formato Adobe PDF
431.03 kB Adobe PDF Visualizza/Apri
Masoero2016_Article_BetheAnsatzAndTheSpectralTheor.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 734.3 kB
Formato Adobe PDF
734.3 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/260738
Citazioni
  • Scopus 30
  • ???jsp.display-item.citation.isi??? 29
Social impact