English

BV-BFV approach to General Relativity: Palatini-Cartan-Holst action

Mathematical Physics 2020-05-19 v3 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP Symplectic Geometry

Abstract

We show that the Palatini--Cartan--Holst formulation of General Relativity in tetrad variables must be complemented with additional requirements on the fields when boundaries are taken into account for the associated BV theory to induce a compatible BFV theory on the boundary.

Keywords

Cite

@article{arxiv.1707.06328,
  title  = {BV-BFV approach to General Relativity: Palatini-Cartan-Holst action},
  author = {Alberto S. Cattaneo and Michele Schiavina},
  journal= {arXiv preprint arXiv:1707.06328},
  year   = {2020}
}

Comments

22 pages. Corrected typos in some formulae. Minor aesthetic fixes