Functional Representations for Fock Superalgebras

DOI10.1142/S0219025798000168zbMath0913.46059arXivhep-th/9708069MaRDI QIDQ4213958

J. Kupsch, O. G. Smolyanov

Publication date: 27 October 1998

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9708069

zbMATH Keywords

Mehler formulasuperalgebraOrnstein-Uhlenbeck semigroupBargmann-Fock representationalgebras of functions on a superspaceFock space of bosons and fermionsfunction spaces with a reproducing kernelGaussian integration on infinite-dimensional superspacesWick ordering on \(Z_2\)-graded algebrasWiener-segal representation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of functional analysis in quantum physics (46N50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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