Chern–Simons-Like Gravity Theories
A wide class of three-dimensional gravity models can be put into “Chern–Simons-like” form. We perform a Hamiltonian analysis of the general model and then specialise to Einstein-Cartan Gravity, General Massive Gravity, the recently proposed Zwei-Dreibein Gravity and a further parity violating generalisation combining the latter two.
KeywordsPoisson Bracket Constraint Function Massive Gravity Primary Constraint Local Degree
This paper is based upon lectures given by Eric Bergshoeff and Paul Townsend at the Seventh Aegean Summer School Beyond Einstein’s Theory of Gravity in Paros, Greece. Eric A. Bergshoeff, Wout Merbis, Alasdair J. Routh and Paul K. Townsend thank the organizers of the Paros School for providing an inspiring environment. We are also grateful to Joaquim Gomis and Marc Henneaux for discussions and correspondence on Hamiltonian methods.
- 2.E. Witten, (2+1)-Dimensional gravity as an exactly soluble system. Nucl. Phys. B 311, 46 (1988)Google Scholar
- 3.S. Deser, R. Jackiw, S. Templeton, Topologically massive Gauge theories. Ann. Phys. 140, 372 (1982) [Erratum Ann. Phys. 185, 406 (1988)]Google Scholar
- 4.E.A. Bergshoeff, O. Hohm, P.K. Townsend, Massive gravity in three dimensions. Phys. Rev. Lett. 102, 201301 (2009) [arXiv:0901.1766]; More on massive 3D gravity. Phys. Rev. D79, 124042 (2009) [arXiv:0905.1259]
- 9.P.A.M. Dirac, Lectures on Quantum Mechanics (Dover, New York, 2001)Google Scholar
- 13.H.R. Afshar, E.A. Bergshoeff, W. Merbis, Extended massive gravity in three dimensions JHEP 1408, 115 (2014) [arXiv:1405.6213]Google Scholar