EVEN AND ODD SYMPLECTIC AND KAHLERIAN STRUCTURES ON PROJECTIVE SUPERSPACES

Authors
KHUDAVERDIAN OM NERSESSIAN AP
Citation
Om. Khudaverdian et Ap. Nersessian, EVEN AND ODD SYMPLECTIC AND KAHLERIAN STRUCTURES ON PROJECTIVE SUPERSPACES, Journal of mathematical physics, 34(12), 1993, pp. 5533-5548
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
12
Year of publication
1993
Pages
5533 - 5548
Database
ISI
SICI code
0022-2488(1993)34:12<5533:EAOSAK>2.0.ZU;2-Q
Abstract
Supergeneralization of CP(N) provided with even and odd Kahlerian stru ctures from Hamiltonian reduction are constructed. Operator DELTA, whi ch is used in Batalin-Vilkovisky quantization formalism and mechanics, which are bi-Hamiltonian under corresponding even and odd Poisson bra ckets, are considered.