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A superversion of quasifree second quantization. I. Charged particles (1992)

Grosse, H. ; Langmann, E.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 1032-1046

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A formalism comprising and extending quasifree second quantization of charged bosons and fermions is presented. The second quantization of one-particle observables leads to current superalgebras, and a super-Schwinger term shows up. Anticommuting parameters are introduced in order to construct super-Bogoliubov transformations mixing bosons and fermions. As an application, representations of Lie superalgebras are given which are semidirect products of extensions of affine Kac–Moody algebras and the Virasoro algebra, and of the super-Virasoro algebra.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529765

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