Integrability of supergravity billiards and the generalized Toda lattice equations

DOI10.1016/j.nuclphysb.2005.10.030zbMath1119.83036arXivhep-th/0510156OpenAlexW2068398879MaRDI QIDQ877326

Pietro Giuseppe Fré, Alexander S. Sorin

Publication date: 20 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0510156

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (14)

Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits ⋮ Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras ⋮ The full integration of black hole solutions to symmetric supergravity theories ⋮ First order description of D=4 static black holes and the Hamilton-Jacobi equation ⋮ The integration algorithm of Lax equation for both generic Lax matrices and generic initial conditions ⋮ Multiexponential models of \((1+1)\)-dimensional dilaton gravity and Toda-Liouville integrable models ⋮ Dimensional reduction of gravity and relation between static states, cosmologies, and waves ⋮ REFLECTIONS ON THE HYPERBOLIC PLANE ⋮ Black holes in supergravity and integrability ⋮ Generating geodesic flows and supergravity solutions ⋮ The Weyl group and asymptotics: all supergravity billiards have a closed form general integral ⋮ Bruhat order in full symmetric Toda system ⋮ Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes ⋮ Three Lectures on the FGK Formalism and Beyond

Cites Work

• Unnamed Item
• Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes
• Exact solutions for Bianchi type cosmological metrics, Weyl orbits of \(E_{8(8)}\) subalgebras and \(p\)-branes
• Cosmic billiards with painted walls in non-maximal supergravities: a worked out example
• The general pattern of Kac-Moody extensions in supergravity and the issue of cosmic billiards
• R-R scalars, \(U\)-duality and solvable Lie algebras
• \(E_{7(7)}\) duality, BPS black-hole evolution and fixed scalars
• Iso-spectral deformations of general matrix and their reductions on Lie algebras
• Non-semisimple Gaugings of D = 5 N = 8 Supergravity
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
• Cosmological billiards
• String field theory in curved spacetime and the resolution of spacelike singularities
• The generating solution of regular N = 8 BPS black holes
• Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models

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