Seminario Geometría, Mecánica y Control
String dualities and Yang-Baxter defects
Ponente: Saskia Demulder (Azraeli Fellow, Ben Gurion University of the Negev)Fecha: martes 10 de diciembre de 2024 - 11:00Lugar: Aula Naranja, ICMAT
Resumen:
In recent years, defects and boundaries have become central tools to generalise what we call a symmetry. Simultaneously, dualities, among which T-duality is pivotal, are of central importance in string theory for exploring the landscape of possible backgrounds. In this talk, I will first explain how the most general form of T-duality can be realised as a topological defect. Motivated by this result, I will show how we construct a large class of topological defects in Chern-Simons theory associated with a non-compact non-Abelian gauge group. These defects are characterised by an isotropic subalgebra and, in particular cases, can be identified with a solution to the modified classical Yang-Baxter equation. Relying on this algebraic structure, we derive the fusion algebra associated with these defects. If time permits, I will show how to apply our results to 3D gravity and higher-spin theory using a folding trick and deduce the corresponding holographic \(AdS_3\) boundary conditions.
