Realization and stability of non-Abelian chiral quantum spin liquids via dimensional reduction

This work is concerned with the realization and stability of a non-Abelian chiral quantum spin liquid phase. To do so, we cast the problem in a quantum wires framework, which is a dimensional deconstruction framework that allows us to study the (2+1) dimensional spin liquids phase from a series of coupled (1+1) dimensional theories. The lower dimension grants us the ability to perform a bosonization procedure, which yields two different partition functions connected by a strong-weak duality transformation. This bosonization procedure is illuminating in that it makes the fixed point structure of the model unequivocal. Then, we proceed by studying the RG flow through the beta-functions, which we use to determine the phase structure. We find that the quantum spin liquid phase is realized and stable in the deep IR limit.