 Date : 2022122 (Fri), 15:00 ~ 16:00
 Place : 127116 (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 WessZumino 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 superfield formalism to make the N=1 supersymmetry manifest. For a subclass 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 superfields.