General Relativity from a gauged WZW term

Abstract

In this paper two things are done. First it is shown how a four dimensional gauged Wess-Zumino-Witten term arises from the five dimensional Einstein-Hilbert plus Gauss-Bonnet lagrangian with a special choice of the coefficients. Second, the way in which the equations of motion of four-dimensional General Relativity arise is exhibited.

9 pages, 1 figure. v2: Minor changes in section 1 and 2. Section 3, rewritten

References in corpus (16)

• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Higher dimensional Chern-Simons supergravity
• The dynamical structure of higher dimensional Chern-Simons theory
• New Gauge Supergravity in Seven and Eleven Dimensions
• Finite action principle for Chern-Simons AdS gravity
• Transgression forms and extensions of Chern-Simons gauge theories
• Gauge Supergravities for all Odd Dimensions
• Dynamical Structure of Irregular Constrained Systems
• On boundary conditions in three-dimensional AdS gravity
• Degenerate Dynamical Systems
• Canonical sectors of five-dimensional Chern-Simons theories
• Lecture notes on Chern-Simons (super-)gravities. Second edition (February 2008)
• The Universe as a topological defect
• Transgression forms as unifying principle in field theory
• Boundary Dynamics of Higher Dimensional AdS Spacetime
• On the general structure of gauged Wess-Zumino-Witten terms

Cited by in corpus (18)

• Topological gravity and transgression holography
• Local supersymmetry without SUSY partners
• Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem
• Couplings between Chern-Simons gravities and 2p-branes
• The Universe as a topological defect
• Unconventional SUSY and Conventional Physics: A Pedagogical Review
• Sources for Chern-Simons theories
• Einstein-Gauss-Bonnet theory of gravity: The Gauss-Bonnet-Katz boundary term
• Accelerated FRW Solutions in Chern-Simons Gravity
• Topological gravity and Wess-Zumino-Witten term
• On Singleton Composites in Non-compact WZW Models
• Gauged WZW models for space-time groups and gravitational actions
• Some considerations on the Mac Dowell-Mansouri action
• Naked Singularities, Topological Defects and Brane Couplings
• AdS Chern-Simons Gravity induces Conformal Gravity
• Four dimensional topological supergravities from transgression field theory
• A note on the Hamiltonian structure of transgression forms
• On the equivalence of the SO(2,1) gauged WZW form and Liouville theory