Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces

DOI10.1007/BF02101748zbMath0837.11032arXivhep-th/9302056MaRDI QIDQ1328228

Christian Grosche

Publication date: 20 May 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9302056

zbMATH Keywords

Selberg super zeta-functionsSelberg super-trace formulabordered super Riemann surfacessuper-determinants of Dirac-Laplace operators

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Riemann surfaces (30F99)

Related Items (2)

Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians ⋮ On the Geometry of Super Riemann Surfaces

Cites Work

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• Geometry of superconformal field theories in two dimensions
• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• The Polyakov path integral over bordered surfaces (the open string amplitudes)
• Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string
• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• Determinants of Dirac operators and Thirring model partition functions on Riemann surfaces with boundaries
• Determinants of Laplace-like operators on Riemann surfaces
• Global properties of supermanifolds
• Superstring theory
• On determinants of Laplacians on Riemann surfaces
• Theta functions, modular invariance, and strings
• Graded Riemann surfaces
• Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces
• Determinants of Laplacians on surfaces of finite volume
• Deformations of super Riemann surfaces
• Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions
• The Selberg trace formula and the Riemann zeta-function
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• The Selberg trace formula for bordered Riemann surfaces
• A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces
• The Structure of Supermanifolds
• Determinant Expression of Selberg Zeta Functions. I
• A superparticle on the super Riemann surface
• SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
• A global theory of supermanifolds
• BORDERED RIEMANN SURFACES, SCHOTTKY GROUPS AND OFF-SHELL STRING AMPLITUDES
• SOME STUDIES ON ARITHMETICAL CHAOS IN CLASSICAL AND QUANTUM MECHANICS
• Asymptotic distributions on super-Riemann surfaces
• Symmetric Fuchsian Groups
• Completeness relations for Maass Laplacians and heat kernels on the super Poincaré upper half-plane

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