A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings

DOI10.1007/BF01238904zbMath0624.58033WikidataQ124936337 ScholiaQ124936337MaRDI QIDQ578701

I. V. Frolov, A. M. Baranov, Yuri I. Manin, Albert S. Schwarz

Publication date: 1987

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

zbMATH Keywords

Selberg trace formulafermionic string measuremoduli superspace

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Path integrals in quantum mechanics (81S40)

Related Items (25)

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 ⋮ On the Geometry of Super Riemann Surfaces ⋮ Heat kernels and super-determinants of Laplace operators on super-Riemann surfaces ⋮ A superparticle on the super Riemann surface ⋮ Geometry of superconformal manifolds ⋮ Analysis on superspace: an overview ⋮ A contribution to nonstandard superanalysis ⋮ Hyperbolic superspaces and super-Riemann surfaces ⋮ Geometry of the superconformal moduli space ⋮ Twisted non-Abelian determinants on Riemann supersurfaces ⋮ RIEMANN SURFACES AND VERTEX OPERATOR ALGEBRAS ⋮ Deformations of super Riemann surfaces ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ Primary currents and Riemannian geometry in W algebras ⋮ Selberg trace formulae for heat and wave kernels of Maass Laplacians on compact forms of the complex hyperbolic space \(H^n(\mathbb C)\), \(n\geq 2\) ⋮ A note on the global structure of supermoduli spaces ⋮ On enlargability of infinite-dimensional Lie superalgebras ⋮ Adinkras, dessins, origami, and supersymmetry spectral triples ⋮ Graded Riemann surfaces and Krichever-Novikov algebras ⋮ Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string ⋮ Smooth coalgebras ⋮ On the notion of compactness in supergeometry ⋮ The super period matrix with Ramond punctures

Cites Work

• The real analytic theory of Teichmüller space
• Variational principle for equations integrable by the inverse problem method
• Supergravity, complex geometry and G-structures
• The geometry of the moduli space of Riemann surfaces
• Unnamed Item

This page was built for publication: A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings