Announcements
Upcoming events
- Bethe-Colloquium by Gleb Arutyunov (Hamburg), 17th January, 2019
- Lecture Series "Black Holes in String Theory" by Iosif Bena (IPhT, Saclay), 25th February - 1st March, 2019
Further information will be given as soon as it is available.
Bethe Colloquium by Gleb Arutyunov
The first Bethe Colloquium in 2019 will take place on Thursday, January 17th, 2019, (4:15 pm) in Hörsaal I.
- Gleb Arutyunov (Hamburg University, II. Institute for Theoretical Physics)
- R-matrix Quantization of the Ruijsenaars-Schneider Models
- Hörsaal I, Physikalisches Institut
Abstract: I describe an algebraic scheme for quantizing the Ruijsenaars-Schneider models in the R-matrix formalism. It is based on a special parametrization of the cotangent bundle over GL(n,C). In new variables the standard symplectic structure is described by a classical (Frobenius) r-matrix and by a new dynamical \bar{r}-matrix. Quantizing these r-matrices, I will exhibit the quantum L-operator algebra and construct its particular representation corresponding to the Ruijsenaars-Schneider system. I will also indicate a couple of open problems.