22–26 Jul 2024
Europe/Lisbon timezone

The self dual action: Ashtekar variables without gauge fixing

24 Jul 2024, 12:00
20m
Auditorium C.1

Auditorium C.1

Department of Physics (University of Coimbra)

Speaker

Jesus Fernando Barbero Gonzalez (Instituto de Estructura de la Materia-CSIC)

Description

I will discuss how to use the GNH method to study the Hamiltonian formulation of the Euclidean self-dual action. This action can be used to arrive at the complex Ashtekar formulation for Lorentzian General Relativity or a real connection formulation for Euclidean General Relativity. I will show how one can get the Ashtekar formulation for Euclidean gravity without using any gauge fixing and compare this derivation with the one corresponding to the Holst action.

Authors

Prof. Eduardo Jesús Sánchez Villaseñor (Universidad Carlos III, Madrid) Jesus Fernando Barbero Gonzalez (Instituto de Estructura de la Materia-CSIC) Dr Marc Basquens Muñoz (KTH-Stockholm)

Presentation materials