Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string

DOI10.1007/BF02097005zbMath0715.11027MaRDI QIDQ752061

Christian Grosche

Publication date: 1990

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

zbMATH Keywords

eigenvaluesspectrumdeterminantssuper Riemann surfacesfermionic string theoryLaplace-Dirac operatorPolyakov functional integralSelberg super trace formulaSelberg super zeta-functionssuperconformal transformation

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Yang-Mills and other gauge theories in quantum field theory (81T13) Supermanifolds and graded manifolds (58A50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces ⋮ On the Geometry of Super Riemann Surfaces ⋮ Univalent functions and \(\mathrm{Diff}(S^1)/S^1\) ⋮ Deformations of super Riemann surfaces ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ A resolution of the integration region problem for the supermoduli space integral ⋮ EFFECTIVELY CLOSED INFINITE-GENUS SURFACES AND THE STRING COUPLING ⋮ Adinkras, dessins, origami, and supersymmetry spectral triples ⋮ Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string ⋮ The Selberg trace formula for bordered Riemann surfaces

Cites Work

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• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string
• Determinants of Laplace-like operators on Riemann surfaces
• Global properties of supermanifolds
• On determinants of Laplacians on Riemann surfaces
• Theta functions, modular invariance, and strings
• Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
• The path integral on the pseudosphere
• The path integral on the Poincaré upper half-plane with a magnetic field and for the Morse potential
• Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces
• The geometry of super Riemann surfaces
• On the periodic orbits of a strongly chaotic system
• Geometry of superconformal manifolds
• The Selberg trace formula and the Riemann zeta-function
• Zeta function regularization of path integrals in curved spacetime
• Chaotic system on the super Riemann surface
• Analytic torsion for complex manifolds
• Quantum Mechanics of a Nonlinear System
• A superparticle on the super Riemann surface
• Vortices and the prescribed curvature problem
• Super-Selberg trace formula from the chaotic model
• A global theory of supermanifolds
• Finite dimensional Teichmüller spaces and generalizations
• The Super Gaga Principle and Families of Super Riemann Surfaces
• Correction to: Silberg' trace formua as applied to a compact riemann surface by H. P. Mckean, comm. pure appl. math. 25, pp. 225‐246,1972