72 citations · 100 across the 5 of their papers we have counts for
5 papers
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vladimir Rubtsov, Alexey Silantyev, Dmitri Talalaev
In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gl(n) Gaudin model. We realize it considering a commutative family corresponding to the Fel…
On the Bethe Ansatz for the Jaynes-Cummings-Gaudin model
Olivier Babelon, Dmitri Talalaev
We investigate the quantum Jaynes-Cummings model - a particular case of the Gaudin model with one of the spins being infinite. Starting from the Bethe equations we derive Baxter's…
Hitchin systems on singular curves II. Gluing subschemes
A. Chervov, D. Talalaev
In this paper we continue our studies of Hitchin systems on singular curves (started in hep-th/0303069). We consider a rather general class of curves which can be obtained from the…
Riemann bilinear form and Poisson structure in Hitchin-type systems
D. Talalaev
In this paper we reinterpret the Poisson structure of the Hitchin-type system in cohomological terms. The principal ingredient of a new interpretation in the case of the Beauville…
Hitchin system on singular curves I
A. Chervov, D. Talalaev
In this paper we study Hitchin system on singular curves. Some examples of such system were first considered by N. Nekrasov (hep-th/9503157), but our methods are different. We cons…