Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras

Abstract

Listen

Translate article

We introduce a class of Lie conformal superalgebra S(a, b), where a, b are complex parameters. These Lie conformal superalgebras can be viewed as the super deformation of Heisenberg-Virasoro type Lie conformal algebras. We classify the free conformal modules of rank over S(a, b) for all . Using a Cheng-Kac’s lemma, we also classify the finite irreducible conformal modules over S(a, b).