×

Abelian subset of second class constraints. (English) Zbl 1008.22009

Summary: We show that after mapping each element of a set of second class constraints to the surface of the other ones, half of them form a subset of Abelian first class constraints. The explicit form of the map is obtained considering the most general Poisson structure. We also introduce a proper redefinition of second class constraints that makes their algebra symplectic.

MSC:

22E60 Lie algebras of Lie groups
22E70 Applications of Lie groups to the sciences; explicit representations
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Dirac, P. A.M., Lectures on Quantum Mechanics (1964), Yeshiva Univ. Press: Yeshiva Univ. Press New York · Zbl 0141.44603
[2] Henneaux, M.; Teitelboim, C., Quantization of Gauge System (1992), Princeton Univ. Press: Princeton Univ. Press Princeton, NJ · Zbl 0638.58041
[3] Henneaux, M., Phys. Rep., 126, 1 (1985)
[4] Loran, F., Phys. Lett. B, 547, 63 (2002)
[5] Batalin, I. A.; Marnelius, R., Mod. Phys. Lett. A, 16, 1505 (2001)
[6] Loran, F., Phys. Lett. B, 544, 199 (2002) · Zbl 0997.81123
[7] Berkovits, N., JHEP, 0109, 016 (2001)
[8] Batalin, I. A.; Fardkin, E. S.; Fradkina, T. A., Nucl. Phys. B, 314, 158 (1989)
[9] Vytheeswaran, A. S., Int. J. Mod. Phys. A, 13, 765 (1998)
[10] John, F., (Partial Differential Equations, 1 (1981), Springer-Verlag: Springer-Verlag New York)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.