IAS Physics Group Meeting

Abstract: Using the modified Villain lattice Hamiltonian formulation of the 1+1d compact boson theory, we construct exactly solvable abelian chiral lattice gauge theories in two spacetime dimensions. 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 full O(N,N;ℤ) T-duality transformations, which we then use to solve and analyze these lattice gauge theories.