Phases of 2d Gauge Theories and Symmetric Mass Generation

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Abstract

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 I will review symmetric mass generation (SMG), whereby fermions are gapped while preserving a chiral but necessarily non- anomalous symmetry. A simple model of SMG will be described, which leverages strongly-coupled gauge dynamics. I will then use bosonisation and dualities to derive the phase diagrams of a series of 2d Abelian gauge theories, including the 2d SMG model, in doing show establishing its validity. I will finally comment on the application of such constructions to symmetry-preserving boundary conditions and fermion- monopole scattering in 4d gauge theory.