Particle Theory Seminar: Adjoint QCD_2 on the Hamiltonian lattice and in the continuum. - Silviu Pufu, Princeton University

Adjoint QCD_2 on the Hamiltonian lattice and in the continuum.

Two-dimensional SU(N) gauge theory coupled to an adjoint Majorana fermion is a relatively tractable example of a gauge theory that exhibits some interesting phenomena.  For example, when the fermion is massless, the theory possesses non-invertible symmetries, and at a certain non-zero value of the fermion mass, one can show using light-cone quantization that the theory exhibits (1, 1) supersymmetry.  In this talk, I will primarily discuss two recent approaches.  I will first introduce a Hamiltonian lattice model that reproduces some of the anomalies of the continuum theory and that can be used to compute the low-lying spectrum and other observables.  The other approach involves studying the continuum theory on a small spatial circle, from which one can obtain more insight into the supersymmetry mentioned above.