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N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials. / Borisov, N. V.; Ilinski, K. N.

In: Communications in Mathematical Physics, Vol. 161, No. 1, 01.03.1994, p. 177-194.

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Harvard

Borisov, NV & Ilinski, KN 1994, 'N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials', Communications in Mathematical Physics, vol. 161, no. 1, pp. 177-194. https://doi.org/10.1007/BF02099417

APA

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Author

Borisov, N. V. ; Ilinski, K. N. / N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials. In: Communications in Mathematical Physics. 1994 ; Vol. 161, No. 1. pp. 177-194.

BibTeX

@article{6972ae81b50043f08c67b43b12cb42da,
title = "N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials",
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.",
author = "Borisov, {N. V.} and Ilinski, {K. N.}",
year = "1994",
month = mar,
day = "1",
doi = "10.1007/BF02099417",
language = "English",
volume = "161",
pages = "177--194",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - N=2 supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials

AU - Borisov, N. V.

AU - Ilinski, K. N.

PY - 1994/3/1

Y1 - 1994/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=21344489503&partnerID=8YFLogxK

U2 - 10.1007/BF02099417

DO - 10.1007/BF02099417

M3 - Article

AN - SCOPUS:21344489503

VL - 161

SP - 177

EP - 194

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

ID: 39883055