A superparticle on the super Riemann surface

DOI10.1063/1.528882zbMath0702.58008OpenAlexW2010202160MaRDI QIDQ3480929

Yukinori Yasui, Shozo Uehara, Shuji Matsumoto

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528882

zbMATH Keywords

pathsperiodic orbitsheat kernelsuperparticleQuantum mechanicsGeodesicssuper Riemann surfacesuper Poincaré upper half-plane

Mathematics Subject Classification ID

Quantum chaos (81Q50) Supermanifolds and graded manifolds (58A50) Supersymmetry and quantum mechanics (81Q60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (6)

Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces ⋮ Chaotic system on the super Riemann surface ⋮ Supergroup structure of Jackiw-Teitelboim supergravity ⋮ On the symplectic geometry of the super Teichmüller space ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string

Cites Work

• Geometry of superconformal field theories in two dimensions
• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
• An analogue of the prime number theorem for closed orbits of Axiom A flows
• On the symplectic geometry of deformations of a hyperbolic surface
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces
• Quantum Mechanics of a Nonlinear System
• Super-Selberg trace formula from the chaotic model
• Periodic Orbits for Hyperbolic Flows
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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