The Weyl group and asymptotics: all supergravity billiards have a closed form general integral

DOI10.1016/j.nuclphysb.2009.01.011zbMath1194.83097OpenAlexW2041897484MaRDI QIDQ993229

Alexander S. Sorin, Pietro Giuseppe Fré

Publication date: 10 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2009.01.011

Mathematics Subject Classification ID

Related Items (9)

Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space ⋮ Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras ⋮ Explicit semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice ⋮ New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice ⋮ Phase portraits of the full symmetric Toda systems on rank-2 groups ⋮ Bruhat order in the Toda system on \(\mathfrak{so}(2, 4)\): an example of non-split real form ⋮ Black holes in supergravity and integrability ⋮ Bruhat order in full symmetric Toda system ⋮ Three Lectures on the FGK Formalism and Beyond

Cites Work

• Unnamed Item
• 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
• Integrability of supergravity billiards and the generalized Toda lattice equations
• 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
• Parameterization by polytopes of intersections of orbits by conjugation
• Iso-spectral deformations of general matrix and their reductions on Lie algebras
• REGULAR R–R AND NS–NS BPS BLACK HOLES
• Non-semisimple Gaugings of D = 5 N = 8 Supergravity
• Tits–Satake projections of homogeneous special geometries
• Cosmological billiards
• String field theory in curved spacetime and the resolution of spacelike singularities
• The generating solution of regular N = 8 BPS black holes
• Regular BPS black holes: Macroscopic and microscopic description of the generating solution
• Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models

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