Speaker
Nezhla Aghaei
(Desy)
Description
The quantization of the Teichmueller spaces of Riemann surfaces
has found important applications to conformal field theory
and N=2 supersymmetric gauge theories. The aim
of the talk is to construct generalizations of the
quantum Teichmueller theory which would, in particular,
describe the quantum theory of the Teichmueller spaces
of Super-Riemann surfaces.
The starting point of the project was the observation that
the quantum Teichm\"ueller theory can be build combinatorially
from a simple quantum group, a deformation of the Borel half of
SL(2). The idea is to replace the (quantum) group SL(2)
by a suitable quantum super-group. The result is
to demonstrate that the resulting quantum theory is
nothing but the quantum theory of the Teichmueller
spaces of Super-Riemann surfaces."
Primary author
Nezhla Aghaei
(Desy)
