Supersymmetry, parastatistics, and operator realizations of a Lie algebra

Biswas, S. N. ; Soni, S. K. (1988) Supersymmetry, parastatistics, and operator realizations of a Lie algebra Journal of Mathematical Physics, 29 (1). pp. 16-20. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v29/i1/p16_s1...

Related URL: http://dx.doi.org/10.1063/1.528170

Abstract

The algebraic structure of parastatistics has been generalized and it is found to be consistent with supersymmetric quantum mechanics with supercharges constructed out of the generalized para-Bose and para-Fermi operators. It is further shown that the operator algebra of generalized parastatistics offers a realization of the (graded) orthosymplectic group similar to that of orthogonal and symplectic groups using conventional parastatistics.

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