Black holes in higher dimensions.
Cartan geometry, supergravity and group manifold approach
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry....
Duality-symmetric approach to general relativity and supergravity.
Hidden symmetries of -theory and its dynamical realization.
On brane solutions related to non-singular Kac-Moody algebras.
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Seven-dimensional considerations of Einstein's connection. II: The recurrence relations of the second and third kind in 7--UFT.
Seven-dimensional considerations of Einstein's connection. I: The recurrence relations of the first kind in --UFT.
Seven-dimensional considerations of Einstein'sconnection. III: The seven-dimensional Einstein's connection.
Six-dimensional considerations of Einstein's connection for the first two-classes. I: The recurrence relations in 6--UFT.
Spacelike singularities and hidden symmetries of gravity.
Spinors on in supergravity
The group structure of supergravity
Translation-invariant noncommutative renormalization.
Two supergeometries from fourfold gradings of superalgebras