Poisson geometry of sigma models with extended supersymmetry

by ZABZINE, Maxim (INFN Firenze)

Tuesday 14 Jan 2003, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

I will consider a general N=(2,2) non-linear sigma model
with a torsion. I will show that the consistency of N=(2,2)
supersymmetry implies that the target manifold is
necessary equipped with two (in general, different)
Poisson structures. Finally I will argue that the Poisson
geometry of the target space is a characteristic feature of
the sigma models with extended supersymmetry. If the
time will allow I will discuss some examples of these
geometries and will shortly comment about the possible
D-branes.