Supersymmetry on noncompact manifolds and complex geometry

N. V. Borisov, K. N. Il'inskii

Research output

Abstract

Special properties of realizations of supersymmetry on noncompact manifolds are discussed. On the basis of the supersymrnetric scattering theory and the supersymmetric trace formulas, the absolute or relative Euler characteristic of a barrier in RN can be obtained from the scattering data for the Laplace operator on forms with absolute or relative boundary conditions. An analog of the Chern-Gauss-Bonnet theorem for noncompact manifolds is also obtained. The map from the stationary curve of an antiholomorphic involution on a compact Riemann surface to the real circle on the Riemann sphere, generated by a real meromorphic function is considered. An analytic expression for its topological index is obtained by using supersymmetric quantum mechanics with meromorphic superpotential on the klein surface.

Original languageEnglish
Pages (from-to)1605-1618
Number of pages14
JournalJournal of Mathematical Sciences
Volume85
Issue number1
DOIs
Publication statusPublished - 1 Jan 1997

Fingerprint

Supersymmetry
Noncompact Manifold
Complex Geometry
Klein Surface
Scattering
Supersymmetric Quantum Mechanics
Topological Index
Geometry
Trace Formula
Quantum theory
Scattering Theory
Meromorphic
Euler Characteristic
Laplace Operator
Meromorphic Function
Riemann Surface
Involution
Gauss
Mathematical operators
Circle

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

Cite this

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Supersymmetry on noncompact manifolds and complex geometry. / Borisov, N. V.; Il'inskii, K. N.

In: Journal of Mathematical Sciences , Vol. 85, No. 1, 01.01.1997, p. 1605-1618.

Research output

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