Higher dimensional gravity invariant under the AdS group

Abstract

A higher dimensional gravity invariant both under local Lorentz rotations and under local Anti de Sitter boosts is constructed. It is shown that such a construction is possible both when odd dimensions and when even dimensions are considered. It is also proved that such actions have the same coefficients as those obtained by Troncoso and Zanelli.

5 pages, no figures; final version to appear in Phys. Lett. B

References in corpus (6)

• String Theory Dynamics In Various Dimensions
• The Power of M Theory
• D-instantons, Strings and M-theory
• Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
• Toward an Off - Shell 11D Supergravity Limit of M - Theory
• Higher dimensional gravity invariant under the Poincare group

Cited by in corpus (13)

• Standard General Relativity from Chern-Simons Gravity
• Finite action principle for Chern-Simons AdS gravity
• Topological gravity and transgression holography
• On Transgression Forms and Chern--Simons (Super)gravity
• Euler Chern Simons Gravity from Lovelock Born Infeld Gravity
• Topological gravity and Wess-Zumino-Witten term
• Even-dimensional topological gravity from Chern-Simons gravity
• Nonlinear realization of local symmetries of AdS space
• Some considerations on the Mac Dowell-Mansouri action
• Dynamics of (SUSY) AdS Space Isometry Breaking
• Four dimensional topological supergravities from transgression field theory
• Semigroup Expansion and M-Supergravity in Eleven Dimensions
• Extended Bargmann FDA and non-relativistic gravity