Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces

DOI10.1007/BF01223373zbMath0659.58044MaRDI QIDQ1112406

Kenichiro Aoki

Publication date: 1988

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

zbMATH Keywords

superfieldsHeat kernels of Laplacianssuper- determinantssuper-Riemann surfacessuper-zeta function

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Analysis on supermanifolds or graded manifolds (58C50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (13)

Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces ⋮ Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians ⋮ Chaotic system on the super Riemann surface ⋮ A new invariant of superconformal OSp(n‖1) ⋮ A superparticle on the super Riemann surface ⋮ Two-loop superstrings and \(S\)-duality ⋮ Twisted non-Abelian determinants on Riemann supersurfaces ⋮ Fourier analysis on a hyperbolic supermanifold with constant curvature ⋮ Super-Selberg trace formula from the chaotic model ⋮ Deformations of super Riemann surfaces ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ Completeness relations for Maass Laplacians and heat kernels on the super Poincaré upper half-plane ⋮ Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string

Cites Work

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• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• On determinants of Laplacians on Riemann surfaces
• Determinants of Laplacians
• Analytic torsion and closed geodesics on hyperbolic manifolds
• Super Riemann surfaces: Uniformization and Teichmüller theory
• The Selberg trace formula and the Riemann zeta-function
• Analytic torsion for complex manifolds
• Fourier coefficients of the resolvent for a Fuchsian group.

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