• Date :  2022-12-2 (Fri), 15:00 ~ 16:00  
• Place :  127-116  (SNU)  

• Speaker :  Eric Ragoucy (LAPTh, CNRS)

• TiTle  :   N=2 supersymmetric W algebras from Hamiltonian reduction

• Abstract : 

I will review the formalism of classical Dirac brackets in the context of W algebras and superalgebras. Dirac brackets allow to deal with a Poisson bracket when constraints are imposed in the phase space. In the context of Wess-Zumino models, this amounts to consider an Hamiltonian reduction of the model, leading to Toda models and W algebras.  When considering a special class of Lie superalgebras, it leads to supersymmetric W algebras. In that case, one can introduce a super-field formalism to make the N=1 supersymmetry manifest. For a sub-class of these Lie superalgebras, it leads to N=2 supersymmetric W algebras. I will present these different cases, the last case opening the possibility of a procedure dealing with N=2 super-fields.