Gauge Theory meets Cosmology

by Massimo Bianchi (Universita degli Studi di Roma Tor Vergata)

Tuesday 1 Jul 2025, 14:00 → 15:30 Europe/Zurich

4/2-037 - TH meeting room (CERN)

We present an analytic approach to the study of linear perturbations around general FLRW cosmological backgrounds, governed by generalized Heun equations. The method, that relies on (quantum) Seiberg-Witten curves for N = 2 supersymmetric gauge theories, has proven to be very effective in the analysis of black-Hole, fuzzball and ECO perturbations. Using the scale factor as 'time coordinate', we recover known analytic results for a single-component fluid and address linear perturbations of a flat ΛCDM universe described by a two-transient model. The transitions from radiation to matter and from matter to vacuum energy are governed by a Heun equation and a Hypergeometric equation, respectively.