N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials

N. V. Borisov, K. N. Ilinski

Research output

11 Citations (Scopus)

Abstract

We construct N=2 supersymmetric quantum Hamiltonians with meromorphic superpotentials on compact Riemann surfaces and investigate the topological properties of these Hamiltonians. L2-cohomology groups for supercharge (a deformed {Mathematical expression} operator) are considered and the Witten index for the supersymmetric Hamiltonian with meromorphic superpotential is calculated in terms of Euler characteristic of the Riemann surface and the degree of a divisor of poles for the differential of the superpotential.

Original languageEnglish
Pages (from-to)177-194
Number of pages18
JournalCommunications in Mathematical Physics
Volume161
Issue number1
DOIs
Publication statusPublished - 1 Mar 1994

Fingerprint

Supersymmetric Quantum Mechanics
Meromorphic
Riemann Surface
quantum mechanics
homology
poles
Cohomology Group
Euler Characteristic
Topological Properties
operators
Divisor
Pole
Operator

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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