The structure of generalized supersymmetry with mutually commuting involutions for the meromorphic supersymmetric quantum mechanics on the compact Riemann surface is introduced. For this purpose a Riemann surface is considered as a self‐conjugate complex manifold. On this basis the Witten index for the new involution is calculated.
REFERENCES
1.
N. V.
Borisov
, K. N.
Ilinski
, and V. M.
Uzdin
, Phys. Lett. A
169
, 422
(1992
).2.
A. D. Dolgallo and K. N. Ilinski, Ann. Phys. (to be published).
3.
A.
Jaffe
, A.
Lesniewski
, and M.
Lewenstein
, Ann. Phys.
178
, 313
(1987
).4.
A. Jaffe and A. Lesniewski, “Proceeding of the 1987 Cargese Summer School, edited by G. t’Hooft et al.
5.
6.
7.
8.
N. V. Borisov and K. N. Ilinski, Commun. Math. Phys. (to be published).
9.
N. V.
Borisov
, W.
Muller
, and R.
Schrader
, Commun. Math. Phys.
114
, 475
(1988
).10.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1969), Vol. 2.
11.
M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1978), Vols. 1–4.
This content is only available via PDF.
© 1994 American Institute of Physics.
1994
American Institute of Physics
You do not currently have access to this content.