Unitary representations of
infinity algebras. (English) Zbl 0972.81554
Summary: We study the irreducible unitary highest weight representations, which are obtained from free field realizations, of infinity algebras with central charges . The characters of these representations are computed. We contruct a new extended superalgebra , whose bosonic sector is . Its representations obtained from a free field realization with central charge , are classified into two classes: continuous series and discrete series. For the former there exists a supersymmetry, but for the latter a supersymmetry exists only for .
|81R10||Infinite-dimensional groups and algebras motivated by physics|
|17B68||Virasoro and related algebras|
|81T40||Two-dimensional field theories, conformal field theories, etc.|