Description
Symmetries via Branes: To Infinity and Beyond
Abstract: We discuss some recent progress on the construction and study of defects and topological symmetry operators via top down (i.e., stringy) methods, including possibly non-trivial fusion rules (e.g., non-invertible symmetries). We explain how branes "wrapped at infinity" implement topological symmetry operators in a string-engineered quantum field theory (QFT), and then determine the consequences of coupling such QFTs to other QFTs as well as gravity. This leads to contributions "beyond infinity" which we systematically study via the associated extra-dimensional geometry. We also present an application of these methods to large N averaging in holography.