PIRSA:18110066

Inflation from spontaneously broken Weyl invariance in theories with torsion

APA

Lucat, S. (2018). Inflation from spontaneously broken Weyl invariance in theories with torsion. Perimeter Institute. https://pirsa.org/18110066

MLA

Lucat, Stefano. Inflation from spontaneously broken Weyl invariance in theories with torsion. Perimeter Institute, Nov. 20, 2018, https://pirsa.org/18110066

BibTex

          @misc{ pirsa_PIRSA:18110066,
            doi = {10.48660/18110066},
            url = {https://pirsa.org/18110066},
            author = {Lucat, Stefano},
            keywords = {Cosmology},
            language = {en},
            title = {Inflation from spontaneously broken Weyl invariance in theories  with torsion},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110066 see, \url{https://pirsa.org}}
          }
          

Stefano Lucat

Utrecht University

Talk number
PIRSA:18110066
Talk Type
Subject
Abstract

Introduction of the torsion tensor on the space-time manifold  leads to a Weyl invariant geometry, in which t e torsion trace acts as a "U(1)" compensating field for the conformal transformations. Such  symmetry can be extended to the whole matter sector included in the  standard model by coupling the Higgs scalar (and all other possible  fundamental scalars) to the torsion. A relevant question is then whether such framework can be used to describe cosmic inflation, as a spontaneous symmetry breaking phenomenon. It turns out that this is indeed possible because the Weyl invariance imposes a distinct field space geometry, which introduces a slow roll plateau in the otherwise  too steep quartic potential dictated by Weyl symmetry. The model can  have observable consequences that distinguish it from other inflationary scenarios, at least under some choices of initial conditions.