Abstract
Using the odd symplectic structure constructed over the tangent bundle of the symplectic manifold we construct the simple supergeneralization of an arbitrary Hamiltonian mechanics. In the case where the initial mechanics defines the Killing vector of some Riemannian metric, the corresponding supersymmetric mechanics can be reformulated in terms of the even symplectic structure on the supermanifold.
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References
F. A. Berezin — Introduction to Superanalysis., D. Reidel, Dordrecht, 1986.
T. Voronov — Geometric Integration Theory on Supermanifolds. Sov. Sci. Rev. C, Math.Phys., 9 (1992), 1.
D. A. Leites — Dokl. Akad. Nauk SSSR, 236(1977), 804.
V. N. Shander — Dokl. Akad. Nauk. Bulgaria 36 (1983), 309.
I. A. Batalin, G. A. Vilkovisky — Phys.Lett., 102B(1981), 27.
A. Batalin, G. A. Vilkovisky — Phys. Rev., D28(1983), 2567.
I. A. Batalin, P. M. Lavrov, I. V. Tyutin — J. Math. Phys., 31(1990) 1487.
A. Batalin, P. M. Lavrov, I. V. Tyutin — J. Math. Phys., 32(1991), 532.
A. Batalin, P. M. Lavrov, I. V. Tyutin — J. Math. Phys., 32(1991), 2513.
A. Batalin, I. V. Tyutin — Int. J. Mod. Phys., A8 (1993) 2333.
E. Witten — Mod. Phys. Lett., A5 (1990), 487; Phys. Rev., D46(1992), 5446.
D. V. Volkov — JETP Lett., 38(1983), 508.
D. V. Volkov, V. A. Soroka, V. I. Tkach — Sov. J. Nucl. Phys., 46 (1987), 110.
D. V. Volkov, V. A. Soroka, A. I. Pashnev, V. I. Tkach — JETP Lett., 44 (1986), 55.
O. M. Khudaverdian, A. P. Nersessian — Preprint YERPHI-1031(81)-1987; J. Math. Phys, 32 (1991), 1938; J. Math. Phys, 34 (1993), No. 11 (to appear).
O. M. Khudaverdian — J. Math. Phys, 32(1991), 1934.
A. P. Nersessian — Theor. Math. Phys., 96 (1993), 140.
M. Blau, E. Keski-Vakkuri, A. J. Niemi — Phys.Lett., B246(1990), 92.
A. Hietamaki, A. Yu. Morozov, A. J. Niemi, K. Palo — Phys. Lett. B263(1991), 417.
A. Yu. Morozov, A. J. Niemi, K. Palo — Nucl. Phys. B377(1992), 295; E. Witten — Preprint IASSNS-HEP-92/15.
A. J. Niemi, O. Tirkkonen — Preprint UU-ITP 3/93.
J. J. Duistermaat, G. J. Heckman — Inv. Math. 69 (1982), 259.
J. J. Duistermaat, G. J. Heckman — Inv. Math. 72(1983), 153.
M. F. Atiah, R. Bott — Topology, 23, No. 1 (1984), 1.
A.P. Nersessian — JETP Lett., 58 (1993), 64.
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Nersessian, A. (1994). Antibrackets and Supersymmetric Mechanics. In: Seimenis, J. (eds) Hamiltonian Mechanics. NATO ASI Series, vol 331. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0964-0_37
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DOI: https://doi.org/10.1007/978-1-4899-0964-0_37
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