A hyperbolic Kac-Moody Calogero model

DOI10.1007/JHEP06(2024)093MaRDI QIDQ6590788

Don Zagier, Olaf Lechtenfeld

Publication date: 21 August 2024

Published in: Journal of High Energy Physics (Search for Journal in Brave)

zbMATH Keywords

discrete symmetriesintegrable field theoriesdifferential and algebraic geometryscale and conformal symmetries

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx) Discontinuous groups and automorphic forms (11Fxx)

Cites Work

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• The quantum angular Calogero-Moser model
• Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\)
• Intertwining relations for the spherical parts of generalized Calogero operators
• Weyl group orbits on Kac–Moody root systems
• Lorentzian Toda field theories
• The physics and mathematics of Calogero particles
• The cuboctahedric Higgs oscillator from the rational Calogero model
• A Hyperbolic GCM Lie Algebra and the Fibonacci Numbers
• On the Hyperbolic Kac-Moody Lie Algebra HA (1) 1
• Cosmological billiards
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models
• Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models

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