Resonance transformations for the $$(2,2p+1)$$ minimal string via $$x-y$$ swap: a proof of Artemev’s conjecture

Abstract

Abstract This paper contains a proof of a recent conjecture of Artemev that connected the resonance transformations for the $$(2,2p+1)$$ ( 2 , 2 p + 1 ) minimal string to the $$x-y$$ x - y swap in the theory of topological recursion.