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Email: mphys10@ipb.ac.rs

Abstracts
Igor Salom
Generalized sl(2) Gaudin algebra and corresponding KnizhnikZamolodchikov 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 offshell Bethe vectors and the solutions of the corresponding KnizhnikZamolodchikov equations for the nonperiodic sl(2) Gaudin model. Next, I will derive the norm of the eigenvectors of the Gaudin Hamiltonians. Additionally, I will also provide a closedform expression for the scalar products of the offshell Bethe vectors. Finally, I will demonstrate an explicit closedform of the offshell Bethe vectors, together with a sketch of a proof of implementation of the algebraic Bethe ansatz in full generality.


Organizers:
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
Coorganizers:
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia
Institute of Nuclear Sciences "VinÄ¨a"
(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
SEENETMTP
(Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia
