### On Free Field Realizations of -Modules

Abstract The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra at level zero as modules for the -algebra by using construction from [J. Pure Appl. Algebra 219(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight -module is irreducible as -module if and only if it has […]