Citation:
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)
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Ciencia, Innovación y Universidades (España)
Sponsor:
This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigacióon/FIS2017-84440-C2-2-P grant. Bogar Díıaz is supported by the CONACYT (Mexico) postdoctoral research fellowship No 371778. Juan Margalef-Bentabol is supported by 2017SGR932 AGAUR/Generalitat de Catalunya, MTM2015-69135-P/FEDER, MTM2015-65715-P. He is also supported in part by the Eberly Research Funds of Penn State, by the NSF grant PHY-1806356, and by the Urania Stott fund of Pittsburgh foundation UN2017-92945.
Project:
Gobierno de España. FIS2017-84440-C2-2-P
Keywords:
Classical theories of gravity
,
Gauge symmetry
,
Topological field theories
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 relativIn 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.[+][-]