String Study Group – Niels Bohr Institute - University of Copenhagen

Niels Bohr Institute > Calendar > 2010 > String Study Group

String Study Group

C. Meneghelli (MPI, Potsdam), Baxter Q-Operators and Representations of Yangians

 I will present a new approach to the construction of Baxter Q-operators
based on their intimate relation with the theory of Yangians.  New
solutions of the Yang-Baxter equation connected with harmonic oscillator
algebra serve as building blocks for other solutions via the standard
fusion procedure. This mechanism allows to derive the full hierarchy of
operatorial functional equations for all commuting transfer matrices and
Q-operators. The method is first applied to  sl(n|m) symmetric spin
chains with fundamental representation in quantum space but can be
generalized to any representation (including non-compact) in quantum
space. The present study is motivated  by the need of a better understanding of
AdS/CFT integrability.