Quantisation of Super Teichmüller Theory
Publisher DOI
Abstract
We construct a quantisation of the Teichmüller 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.
Date Issued
2017-04-25
Publication Type
Article
Subject(s)
Language(s)
en
Author(s)
Pawelkiewicz, Michal | |
Teschner, Jörg |
Additional Credits
Journal
Communications in mathematical physics
Publisher
Springer
ISSN
0010-3616
Access(Rights)
open.access