Explore cutting-edge concepts in theoretical physics through this 41-minute conference talk by Clay Córdova from the University of Chicago. Delve into topics such as symmetry breaking, weak gravity, and their implications for quantum gravity and holography. Examine the interplay between conformal field theory (CFT) and holographic duality, focusing on how consistency conditions in quantum gravity relate to CFT principles. Investigate the role of large N bootstrap, gravitational effective field theory, and the structure of holographic CFTs dual to general relativity. Gain insights into symmetry constraints on gravitational path integrals, AdS vacua, and the connections between S-matrices and CFT correlators. Engage with discussions on quantum chaos, black holes, and low-dimensional holography as part of the broader exploration of modern field theory methods in holography.