Asymptotic distributions on super-Riemann surfaces

Details Asymptotic distributions on super-Riemann surfaces Asymptotic distributions on super-Riemann surfaces

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.2329g&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 9, pp. 2329-2348 (1996).

Computer Science

Scientific paper

The Selberg supertrace formula for super-Riemann surfaces is used to derive asymptotic distributions for the number 0264-9381/13/9/001/img1 0264-9381/13/9/001/img2 of eigenvalues 0264-9381/13/9/001/img3 of the Dirac - Laplace operator 0264-9381/13/9/001/img5 on super-Riemann surfaces, and for the number 0264-9381/13/9/001/img6 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.

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