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arXiv · 1512.02617

Quantisation of super Teichmueller theory

Nezhla Aghaei·Michal Pawelkiewicz·Joerg Teschner
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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.

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Nezhla Aghaei, Michal Pawelkiewicz, Joerg Teschner. 2015-12-08. Quantisation of super Teichmueller theory. https://arxiv.org/abs/1512.02617

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