Preprint/Internal Report

PUBDB-2015-06093

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantisation of super Teichmüller theory

Aghaei, N. (Corresponding author)DESY* ; Pawelkiewicz, M.DESY* ; Teschner, J.DESY*

2015

This record in other databases:  

Report No.: DESY-15-249; arXiv:1512.02617

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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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2015

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Aghaei, N. (Corresponding author)Extern* ; Pawelkiewicz, M.DESY* ; Teschner, J.DESY*
Quantisation of Super Teichmüller Theory
Communications in mathematical physics 353(2), 597 - 631 (2017) [10.1007/s00220-017-2883-0]2017     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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