q-deformation of corner vertex operator algebras by Miura transformation

A bstract Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at corner brane intersection (corner vertex operator algebra). The algebra, denoted as Y L,M,N , is characterized three non-negative integers L, M, . It has manifest triality automorphism which interchanges can be obtained reduction 1+∞ with “pit” in plane partition representation. Later, Prochazka representation terms L + M free bosons Miura transformation, where they use fractional power differential operators. In this paper, we derive q -deformation transformation. gives field for -deformed quantum toroidal algebra. We find that version “simpler” structure than original one because Miki duality For instance, direct correspondence between operators transformation those Furthermore, show both algebras share same screening