Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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