Quantisation of super Teichmueller theory
High Energy Physics - Theory
2015-12-09 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We construct a quantisation of the Teichmueller spaces of super Riemann surfaces using coordinates associated to ideal triangulations of super Riemann surfaces. A new feature is the non-trivial dependence on the choice of a spin structure which can be encoded combinatorially in a certain refinement of the ideal triangulation. By constructing a projective unitary representation of the groupoid of changes of refined ideal triangulations we demonstrate that the dependence of the resulting quantum theory on the choice of a triangulation is inessential.
Cite
@article{arxiv.1512.02617,
title = {Quantisation of super Teichmueller theory},
author = {Nezhla Aghaei and Michal Pawelkiewicz and Joerg Teschner},
journal= {arXiv preprint arXiv:1512.02617},
year = {2015}
}
Comments
22 figures, 39 pages