Hidden diffeos in the Hamiltonian formulation of a background independent field theory

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Abstract
In this paper, we analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain–Kuchař model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that three-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries.
Funding Information
  • Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación (AEI/PID2020-116567GB-C22)
  • Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación (PID2021-128970OA-I00)
  • SECIHTI (371778)

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