Super quantum Teichmueller spaces

par Nezhla Aghaei (DESY Hamburg)

jeudi 10 déc. 2015, 11:00 → 12:00 Europe/Paris

Petit Amphitheatre (Annecy-le-Vieux)

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 a generalization of the quantum Teichmueller theory which describes the quantum theory of the Teichmueller spaces of Super-Riemann surfaces. One can observe that the operators in the quantum Teichmueller theory can be build combinatorially from a simple quantum group, the Borel half of $U_q(sl(2))$. The idea is to replace the $U_q(sl(2))$ algebra by a suitable quantum superalgebra, $U_q(osp(1|2))$. We aim to demonstrate that the resulting quantum theory is nothing else but the quantum theory of the Teichmueller spaces of Super-Riemann surfaces.