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Asymptotic distributions on super-Riemann surfaces



1996

21 pp. () [10.3204/PUBDB-2023-00064]  GO

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Report No.: DESY-96-032

Abstract: The Selberg supertrace formula for super-Riemann surfaces is used to derive asymptotic distributions for the number of eigenvalues of the Dirac - Laplace operator on super-Riemann surfaces, and for the number of the norms N of the hyperbolic conjugacy classes. In the case where the underlying Riemann surface is compact, we find that the Witten index is determined by the area of the Riemann surface.

Keyword(s): Riemann surface ; operator: Dirac-Laplace ; asymptotic behavior ; Witten index ; supersymmetry ; orbit ; bibliography

Classification:

Note: F-Bereich; Theorie

Contributing Institute(s):
  1. DESY Retrocat (DESY(-2012))
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)
Experiment(s):
  1. No specific instrument

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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article
Asymptotic distributions on super-Riemann surfaces
Classical and quantum gravity 13(9), 2329 - 2348 () [10.1088/0264-9381/13/9/001]  GO  Download fulltext Files BibTeX | EndNote: XML, Text | RIS


 Record created 2023-01-06, last modified 2023-01-06


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