Aghaei, Nezhla; Pawelkiewicz, Michal; Teschner, Jörg (2017). Quantisation of Super Teichmüller Theory. Communications in mathematical physics, 353(2), pp. 597-631. Springer 10.1007/s00220-017-2883-0
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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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Aghaei, Nezhla |
Subjects: |
500 Science > 530 Physics |
ISSN: |
0010-3616 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
30 Oct 2017 10:50 |
Last Modified: |
05 Dec 2022 15:06 |
Publisher DOI: |
10.1007/s00220-017-2883-0 |
BORIS DOI: |
10.7892/boris.102360 |
URI: |
https://boris.unibe.ch/id/eprint/102360 |
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