### Abstract

We construct N=2 supersymmetric quantum Hamiltonians with meromorphic superpotentials on compact Riemann surfaces and investigate the topological properties of these Hamiltonians. L_{2}-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 language | English |
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Pages (from-to) | 177-194 |

Number of pages | 18 |

Journal | Communications in Mathematical Physics |

Volume | 161 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Mar 1994 |

### Fingerprint

### Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*161*(1), 177-194. https://doi.org/10.1007/BF02099417

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*Communications in Mathematical Physics*, vol. 161, no. 1, pp. 177-194. https://doi.org/10.1007/BF02099417

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

Research output

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 -