Exact solutions of matrix models and string theories (Joao Rodrigues, Instituto Superior Técnico IST, Lisboa)

08.09.2025 11:00 – 13:00

Abstract:
Hermitian matrix models, together with their double-scaling limits, offer powerful frameworks for studying non-perturbative phenomena across string theory. Despite significant advances, exact global solutions remain elusive due to intricate analytic structures and complex phase behaviour. To address this, we construct local transseries solutions that capture both perturbative and non-perturbative contributions. Using a novel technique called diagonal framing, we reorganize transseries sectors to manifest background independence, improve convergence, and simplify resummation. These solutions deepen the understanding of non-perturbative effects by showing how transseries can be explicitly resummed into finite, fully non-perturbative results. Moreover, by determining all Stokes data, we promote the transseries to global exact solutions across all phases, laying the groundwork for studying phase transitions, dualities, and broader applications within string theory.

Lieu

Conseil Général 7-9, Room 1-05, Séminaire Physique Mathématique

entrée libre