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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Particle Physics and AdS/CFT

MP 3.4: Vortrag

Dienstag, 1. April 2025, 17:15–17:35, ZHG001

Three-dimensional gravity as Kodaira-Spencer theory — Johanna Erdmenger, Jonathan Karl, Jani Kastikainen, René Meyer, and •Henri Scheppach — Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, D-97074 Würzburg, Germany

Twisted holography provides a promising framework for exploring holographic dualities beyond the strict large N limit. However, a formulation of the duality in the traditional form is lacking. In this talk, I will present a construction to identify degrees of freedom of three-dimensional gravity in six-dimensional Kodaira-Spencer (KS) theory, featuring prominently in twisted holography. The construction works by embedding solutions of 3D gravity with a negative cosmological constant into a 6D manifold whose complex structure solves the KS equations of motion. This allows us to apply the well-understood holographic dictionary for 3D gravity and 2D conformal field theories to twisted holography. Furthermore, the construction allows for an embedding of black hole geometries into KS theory.

Keywords: Twisted holography; Kodaira-Spencer theory; Topological gravity