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Generalizations of the Pontryagin and Husain-Kuchar actions to manifolds with boundary

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URI: https://hdl.handle.net/10016/32259
ISSN: 1029-8479
DOI: https://doi.org/10.1007/JHEP10(2019)121
UXXI: AR/0000024019
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generalizations_JHEP_2019.pdf (277.86 KB)
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2019-10-09
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Springer
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In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchaˇr actions on manifolds with boundary. In some cases, they describe well known models — either at the boundary or in the bulk — such as 3-dimensional Euclidean general relativity with a cosmological constant or the Husain-Kuchaˇr model. We will use Hamiltonian methods in order to disentangle the physical and dynamical content of the systems that we discuss here. This will be done by relying on a geometric implementation of the Dirac algorithm in the presence of boundaries recently proposed by the authors.
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Classical theories of gravity, Gauge symmetry, Topological field theories
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Barbero G., J.F., Díaz, B., Margalef-Bentabol, J. et al. Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary. J. High Energ. Phys. 2019, 121 (2019)
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