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Explore the cutting-edge research on quantum field theory of exotic systems in this lecture by Nathan Seiberg from the Institute for Advanced Study. Delve into the challenges posed by fracton phases of matter to the conventional understanding of low-energy/long-distance descriptions of lattice systems. Examine the relationship between lattice systems and their continuum field theory descriptions, with a focus on incorporating exotic global symmetries. Investigate a detailed model with U(1) subsystem symmetry in 2+1 dimensions and its associated gauge theory, featuring tensor gauge symmetry and probe particles with restricted mobility. Learn about the Higgs mechanism applied to U(1) tensor gauge symmetry and its implications for UV/IR mixing. While primarily focusing on 2+1 dimensional models, gain insights into the more complex 3+1 dimensional systems and their unique properties.
