18–19 Dec 2019
Centre for Particle Theory, Durham
Europe/London timezone

Application of the eigenfunctions of the Dirac operator on spheres to de Sitter QFT

18 Dec 2019, 17:00
30m
CM107 (Department of Mathematical Sciences)

CM107

Department of Mathematical Sciences

Speaker

Mr Vasileios Letsios (speaker and author)

Description

Studying field theory in de Sitter spacetime is important because of its relevance to inflationary cosmology. N-dimensional de Sitter space can be obtained by analytic continuation of the N-sphere. In this talk, I will discuss how one can construct spinor fields in de Sitter spacetime by analytically continuing the eigenfunctions of the Dirac operator on the N-dimensional sphere. Furthermore, I will explain how to obtain mode expansions for the free Dirac field operator and discuss how these modes are connected with unitary SO(N,1) representations.

Primary author

Mr Vasileios Letsios (speaker and author)

Presentation materials