Poincaré duality and \(G^{+++}\) algebras

DOI10.1007/s00220-007-0309-0zbMath1220.83041arXivhep-th/0510212OpenAlexW2037929485MaRDI QIDQ2472488

Arjan Keurentjes

Publication date: 22 February 2008

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

Full work available at URL: https://arxiv.org/abs/hep-th/0510212

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Applications of global differential geometry to the sciences (53C80)

Related Items

Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras ⋮ Spacelike singularities and hidden symmetries of gravity ⋮ Generating geodesic flows and supergravity solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathcal G^{+++}\) invariant formulation of gravity and M-theories: exact BPS solutions
• A class of Lorentzian Kac-Moody algebras
• \(E_{11}\): sign of the times
• Killing spinor equations from nonlinear realisations
• \(G^{+++}\) and brane solutions
• 4-dimensional black holes from Kaluza-Klein theories
• Instability of the Kaluza-Klein vacuum
• \(E_{11}\), SL(32) and central charges
• Duality and moduli spaces for time-like reductions.
• Euclidean-signature supergravities, dualities and instantons.
• Branes, times and dualities
• Timelike T-duality, de Sitter space, large \(N\) gauge theories and topological field theory
• Duality and the signature of space-time
• The group theory of oxidation
• The group theory of oxidation II: cosets of non-split groups
• E ₁₁ and M theory
• KLEINIAN GEOMETRY AND THE N = 2 SUPERSTRING
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
• U-duality (sub-)groups and their topology
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• Fermionic subspaces of the bosonic string
• The topology of U-duality (sub)groups
• Very extended Kac–Moody algebras and their interpretation at low levels
• Supergravity in theory in 11 dimensions
• Hidden symmetries and Dirac fermions

This page was built for publication: Poincaré duality and \(G^{+++}\) algebras