Neutral particles and super Schwinger terms

DOI10.1063/1.533202zbMath0977.81022arXivhep-th/9903148OpenAlexW2047127141MaRDI QIDQ2737891

Christian Ekstrand

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9903148

zbMATH Keywords

CCRCARcanonical commutation algebraCSR\(\mathbb{Z}_2\)-graded Schwinger termcanonical anticommutation algebracanonical supercommutation relations algebraselfdual CAR

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) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Large N limit of SO(N) gauge theory of fermions and Bosons ⋮ Geometric quantization on the super-disk

Cites Work

• Index formulas for generalized Wiener-Hopf operators and Boson-Fermion correspondence in 2N dimensions
• Quasi-free 'second quantization'
• Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions
• \(\mathbb{Z}_2\)-graded cocycles in higher dimensions
• Supersymmetric quantum mechanics defined as sesquilinear forms
• Cocycles for boson and fermion Bogoliubov transformations
• On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation

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