Speaker
Description
It is known that the SU(2) Wess-Zumino-Witten model is dual to the free fermion theory in two dimensions via non-Abelian bosonization. Additionally, the SU(2) Wess-Zumino-Witten model is believed to be equivalent to the O(3) nonlinear sigma model with the theta term. In this work, we reexamine this duality through the lens of renormalization group (RG) flow. We analyze the RG flow structure of the O(3) nonlinear sigma model with the theta term in two dimensions using the functional renormalization group. Our results reveal a nontrivial fixed point with a nonzero value of the topological coupling. The scaling dimensions (critical exponents) at this fixed point suggest the realization of duality between the O(3) nonlinear sigma model with the theta term and the free fermion theory, indicating that these models belong to the same universality class.
