Matrix Membranes and Emergent Spacetime - Day 4

Explore advanced theoretical physics concepts in this workshop recording featuring five expert presentations on matrix membranes and emergent spacetime theories. Begin with Bergfinnur Durhuus examining loop models on causal dynamical triangulations and their connection to height-coupled trees, providing foundational understanding of discrete geometric approaches to quantum gravity. Continue with Zechuan Zhen's analysis of bootstrap methods in the BFSS (Banks-Fischler-Shenker-Susskind) model, exploring non-perturbative techniques in matrix theory. Delve into Hikaru Kawai's comprehensive treatment of spacetime and general relativity within the IIB Matrix Model framework, investigating how classical gravitational physics emerges from matrix dynamics. Study Jens Hoppe's mathematical approach to solving double-commutator equations, essential for understanding matrix model dynamics and their physical interpretations. Conclude with Andrew Hone's presentation on special solutions of discrete Painlevé equations and their applications to quantum minimal surfaces, bridging integrable systems theory with quantum geometry. This workshop provides deep insights into cutting-edge research at the intersection of matrix models, quantum gravity, and emergent spacetime phenomena, suitable for researchers and advanced students in theoretical physics and mathematical physics.