ITMP Seminar "Gravity and TTbar flows in higher dimensions"

Title: Gravity and TTbar flows in higher dimensions

Abstract: We will discuss systems in arbitrary space-time dimensions where matter, deformed by TTbar-like irrelevant operators, is coupled to gravity in the Palatini formalism. We shall investigate the dynamically equivalent perspective, wherein the deformation transitions from the matter action to the gravitational one or vice versa. This alternative viewpoint leads to the emergence of Ricci-based gravity theories, thus providing a higher-dimensional generalisation of the well-known equivalence between 2d TTbar deformations and coupling to Jackiw-Teitelboim gravity. We shall examine this dynamical equivalence within the framework of the recently introduced Lagrangian flow equation, which has notably led to the discovery of a direct link between Nambu-Goto theory and TTbar and gave significant insights into nonlinear electrodynamics models in d=4. We will discuss explicit examples in four dimensions, incorporating and extending recent findings from cosmology-related literature associated with the concept of reframing.