Large N of Chern-Simons Matrix Model and Conformal Field Theory

Explore the emergence of 1+1 dimensional conformal field theory from the large N limit of 2+1 dimensional Chern-Simons matrix models in this 46-minute conference talk. Delve into the identification of observable algebra in Chern-Simons matrix models through commutation relation calculations. Discover how a Kac-Moody algebra and integrable representation arise in the large N limit, forming the Hilbert space of the matrix model. Examine the emergence of a disk and the formation of boundary states representing the current algebra. Gain insights into the natural occurrence of 1+1 dimensional CFT as a holographic dual to 2+1 dimensional Chern-Simons theory.

Sen Hu: Large N of Chern-Simons matrix model and conformal field theory #ICBS2024