Abstract
ABSTRACT
We introduce a systematic way of constructing 3D exotic massive gravity theories in the first order formulation. Our method is based on truncating a single degree of freedom in the parity odd gravity models found earlier [1] and supplementing it with appropriate potential terms such that the resulting models have well-defined metric equations but their Bianchi identities are satisfied only on-shell. Hence, they are ‘third way’ consistent. We first re-derive two already known exotic theories using our approach and then construct an extended exotic massive gravity model whose metric field equation is sixth order in derivatives. We also explain how to check Bianchi identities using the first order formulation.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference37 articles.
1. H.R. Afshar, E.A. Bergshoeff and W. Merbis, Extended massive gravity in three dimensions, JHEP08 (2014) 115 [arXiv:1405.6213] [INSPIRE].
2. W. Li, W. Song and A. Strominger, Chiral gravity in three dimensions, JHEP04 (2008) 082 [arXiv:0801.4566] [INSPIRE].
3. O. Hohm, A. Routh, P.K. Townsend and B. Zhang, On the Hamiltonian form of 3D massive gravity, Phys. Rev.D 86 (2012) 084035 [arXiv:1208.0038] [INSPIRE].
4. E.A. Bergshoeff, O. Hohm, W. Merbis, A.J. Routh and P.K. Townsend, Chern-Simons-like gravity theories, Lect. Notes Phys.892 (2015) 181 [arXiv:1402.1688] [INSPIRE].
5. E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive gravity in three dimensions, Phys. Rev. Lett.102 (2009) 201301 [arXiv:0901.1766] [INSPIRE].
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献