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

publication date

  • October 2019

start page

  • 121


  • 10

International Standard Serial Number (ISSN)

  • 1029-8479

Electronic International Standard Serial Number (EISSN)

  • 1126-6708


  • In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchǎr 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-Kuchǎr 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.


  • Materials science and engineering


  • classical theories of gravity; gauge symmetry; topological field theories