Quantisation of Super Teichmüller Theory

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:

26 Apr 2018 02:30

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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