2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185770We study the $A_{n-1}^{(1)}$ spin chain at the critical regime $|q|=1$. We give the free boson realizations of the type-I vertex operators and their duals. Using these free boson realizations, we give the integral representations for the correlation functions.LaTEX2e,19pagesExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryQuantum Algebratext