School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


Igor Salom

Generalized sl(2) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation

The Gaudin model has been revisited many times, yet some important issues remained open. In this talk, I will present our recent results on this topic. In particular, I will discuss the relationship between the off-shell Bethe vectors and the solutions of the corresponding Knizhnik-Zamolodchikov equations for the non-periodic sl(2) Gaudin model. Next, I will derive the norm of the eigenvectors of the Gaudin Hamiltonians. Additionally, I will also provide a closed-form expression for the scalar products of the off-shell Bethe vectors. Finally, I will demonstrate an explicit closed-form of the off-shell Bethe vectors, together with a sketch of a proof of implementation of the algebraic Bethe ansatz in full generality.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia