Leinweber Seminar: Exactly Solvable 1+1d Chiral Lattice Gauge Theories. - Sahand Seifnashri, IAS

Is there a lattice formulation of chiral gauge theories such as the Standard Model? In this talk, we address this question for the case of abelian chiral gauge theories in 1+1 spacetime dimensions. Specifically, using the modified Villain lattice Hamiltonian formulation of the 1+1d compact boson theory, we construct exactly solvable 1+1d abelian chiral lattice gauge theories. As a concrete example, we derive an explicit quadratic lattice Hamiltonian for the "34-50" chiral gauge theory. We further show that N copies of the modified Villain theory realize the O(N,N;ℤ) T-duality transformations, which we then use to solve these lattice gauge theories.