String Dualities and Compact Stars: From AGT Conjecture to Black Holes and Neutron Stars

Explore a physics lecture delving into string theory dualities and their applications to compact stars, covering three major areas: the AGT conjecture proof in 4D and 5D gauge theories, the Seiberg-Witten/Quasinormal Modes correspondence for black holes, and holographic QCD applications to neutron stars. Learn about the mathematical connection between 4D gauge theory and 2D conformal field theory through the AGT conjecture, including its higher-dimensional generalizations and proof at beta=1. Discover how the SW/QNM correspondence provides new analytical methods for calculating quasinormal mode frequencies in black holes and its extension to black hole superradiance. Examine the development of a theoretical equation of state for neutron stars derived from the Witten-Sakai-Sugimoto model, progressing from pointlike instantons to instanton gas considerations with chemical potential-dependent instanton width.