Temperature states on loop groups, theta functions and the Luttinger model

DOI10.1016/0022-1236(87)90109-1zbMath0633.46068OpenAlexW1993100053MaRDI QIDQ1096148

Keith C. Hannabuss, Alan L. Carey

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90109-1

zbMATH Keywords

elliptic functionsLuttinger modelaffine Lie algebraBoson- Fermion correspondenceprojective representations of the loop group of U(N)temperature statesuniversal central extension of the loop group

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 selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie algebras of Lie groups (22E60) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

KMS states for reduced groups, theta functions and the Powers–Størmer construction ⋮ Complete integrability of relativistic Calogero-Moser systems and elliptic function identities ⋮ Infinite dimensional groups and Riemann surface field theories ⋮ Temperature states on loop groups, boson-fermion correspondence, and a determinant identity ⋮ Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality ⋮ Infinite complex spin groups ⋮ Unnamed Item ⋮ Unitary implementations of one-parameter squeezing groups

Cites Work

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• Quasi-free 'second quantization'
• Free states of the canonical anticommutation relations
• On quasifree states of CAR and Bogoliubov automorphisms

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