Infinite Dimensional Groups and Algebras in Quantum Physics

DOI10.1007/978-3-540-49141-5zbMath0848.22026OpenAlexW579587226MaRDI QIDQ4834179

Johnny Tom Ottesen

Publication date: 23 May 1995

Published in: Lecture Notes in Physics Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-49141-5

zbMATH Keywords

Kac-Moody algebrasLie algebraloop groupmetaplectic representationVirasoro algebraspin representationfermion algebraloop algebrasboson algebraFock Hilbert spaceinfinite-dimensional restricted orthogonal groupinfinite-dimensional restricted symplectic group

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Research exposition (monographs, survey articles) pertaining to topological groups (22-02)

Related Items (20)

State-space-based approach to quantum field theory for arbitrary observers in electromagnetic backgrounds ⋮ Fusion of implementers for spinors on the circle ⋮ Projective representations of the loop group and the Boson-Fermion correspondence ⋮ Born's rule from the principle of unitary equivalence ⋮ The Clifford algebra bundle on loop space ⋮ Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the \(\mathfrak{gl}(1|1)\) periodic spin chain, Howe duality and the interchiral algebra ⋮ QUANTUM STRINGS AND SUPERSTRINGS ⋮ Twisted \(K\)-theory constructions in the case of a decomposable Dixmier-Douady class. II: Topological and equivariant models ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Solitons and nonsmooth diffeomorphisms in conformal nets ⋮ Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate ⋮ Thermal states in conformal QFT. II ⋮ The phase of the scattering matrix ⋮ Bogolyubov transformations in Wiener-Segal-Fock space ⋮ Towards a Lie theory of locally convex groups ⋮ Book review of: A. Kosyak, Regular, quasi-regular and induced representations of infinite-dimensional groups ⋮ Ground state representations of some non-rational conformal nets ⋮ Analysis of twisted supercharge families on product manifolds ⋮ Boundedness properties of fermionic operators ⋮ Finite dimensional compact and unitary Lie superalgebras

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