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Mathematical Research at the University of Cambridge

 

Scalar fields are ubiquitous in string theory compactifications, arising both from geometric moduli and as descendants of higher-dimensional p-forms. In cosmology, they provide natural candidates to drive accelerated expansion, both during early (inflationary) and late (dark energy) time evolution of the Universe.
In single-field models, scalar potentials are typically too steep to sustain slow-roll evolution. However, in multifield scenarios, accelerated expansion can occur even for steep potentials, when the scalar fields move along strongly non-geodesic trajectories in field space. Such dynamics not only enable inflation or dark energy but can also evade recent quantum gravity swampland constraints.
In this talk, I will show how to extend the dynamical systems (DS) toolkit to include both kinetic and potential couplings between fields - features that naturally arise in string-theoretic constructions. Within this framework, I will present a compact and general expression for the non-geodesicity parameter, which offers a simple and transparent diagnostic of truly multifield evolution. I will also discuss connections with previous work on inflationary dynamics, where related mechanisms play a central role.

Further information

Time:

13Oct
Oct 13th 2025
13:00 to 14:00

Venue:

CMS, Pav. B, CTC Common Room (B1.19) [Potter Room]

Speaker:

Ivonne Zavala (Swansea U.)

Series:

Cosmology Lunch