Preprint/Report

PUBDB-2018-00213

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantisation conditions of the quantum Hitchin system and the real geometric Langlands correspondence

Teschner, J. (Corresponding author)DESY*

2017

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Please use a persistent id in citations: doi:10.3204/PUBDB-2018-00213

Report No.: arXiv:1707.07873

Abstract: Single-valuedness of the eigenfunctions of the quantised Hitchin Hamiltonians is proposed as a natural quantisation condition. Separation of Variables can be used to relate the classification of eigenstates to the classification of projective structures with Fuchsian holonomy. Using complex Fenchel-Nielsen coordinates one may reformulate the quantisation conditions in terms of the generating function for the variety of opers. These results are interpreted as a variant of the geometric Langlands correspondence.

Note: 30 pages

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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 2017

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