Hyperbolic Kac–Moody algebra from intersecting p-branes

DOI10.1063/1.532944zbMath0969.81023arXivhep-th/9803006OpenAlexW2045271168MaRDI QIDQ4270402

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Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9803006

zbMATH Keywords

harmonic functionsearly universemultidimensional gravityintersecting \(p\)-branes\(D= 11\) supergravity related to hyperbolic Kac-Moody algebranon-Kasner power-law inflationthree Euclidean \(p\)-branes (one electric and two magnetic)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories in gravitational theory (83E30) Geometrodynamics and the holographic principle (83E05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization of the gravitational field (83C45) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (8)

A special class of rank 10 and 11 Coxeter groups ⋮ Black brane solutions related to non-singular Kac-Moody algebras ⋮ Solutions with intersecting p-branes related to Toda chains ⋮ On the billiard approach in multidimensional cosmological models ⋮ MULTIDIMENSIONAL COSMOLOGY AND FUNDAMENTAL CONSTANTS ⋮ On brane solutions with intersection rules related to Lie algebras ⋮ Sigma-model solutions and intersecting \(p\)-branes related to Lie algebras ⋮ \(D\)-dimensional \(p\)-brane cosmological models associated with a Lie algebra of the type \(A_m\)

Cites Work

• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• String dynamics at strong coupling
• Open \(p\)-branes
• Harmonic superpositions of \(M\)-branes
• Overlapping branes in M-theory
• Non-extreme black holes from non-extreme intersecting M-branes
• Multidimensional classical and quantum cosmology with intersecting p-branes
• Composite p -branes in diverse dimensions
• Sigma-model for generalized composite p -branes
• Majumdar-Papapetrou-type solutions in the sigma-model and intersecting p -branes
• The eleven-dimensional supermembrane revisited
• Supergravity in theory in 11 dimensions

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