Abstract
Let D be the Lie algebra of regular differential operators on , and
be the central extension of D. Let W
1+∞,minus;N
be the vertex algebra associated to the irreducible vacuum
-module with the central charge c = −N. We show that W
1+∞,−N
is a subalgebra of the Heisenberg vertex algebra M(1) with 2N generators, and construct 2N-dimensional family of irreducible W
1+∞,−N
-modules. Considering these modules as
-modules, we identify the corresponding highest weights.