Group quantization of the affine field model for gravity and non-standard representations of the SU(1, 1)-Kac-Moody group

DOI10.1088/0264-9381/8/3/004zbMath0716.22010OpenAlexW1971565803MaRDI QIDQ3203238

John R. Klauder, Jose Navarro-Salas, Victor Aldaya

Publication date: 1991

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/8/3/004

zbMATH Keywords

central chargeirreducible representationscoherent stateexceptional representationsHamiltonian densityaffine field model for gravityquantum wavefunctionalsSU(1,1) Kac-Moody group

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie (super)algebras to physics, etc. (17B81) 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) Applications of Lie groups to the sciences; explicit representations (22E70)

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SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION

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