Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces

Details Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces

1993-02-13

arxiv.org/abs/hep-th/9302056v1

Commun. Math. Phys. 162 (1994) 591-632

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, amstex

Scientific paper

10.1007/BF02101748

This paper is the third in a sequel to develop a super-analogue of the classical Selberg trace formula, the Selberg supertrace formula. It deals with bordered super Riemann surfaces. The theory of bordered super Riemann surfaces is outlined, and the corresponding Selberg supertrace formula is developed. The analytic properties of the Selberg super zeta-functions on bordered super Riemann surfaces are discussed, and super-determinants of Dirac-Laplace operators on bordered super Riemann surfaces are calculated in terms of Selberg super zeta-functions.

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