Vertex representations of toroidal special linear Lie superalgebras

Abstract

Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, free field representation of toroidal Lie superalgebras of type $A(m,n)$ is constructed using both vertex operators and bosonic fields.

14 pages

References in corpus (2)

• Fermionic realization of toroidal Lie algebras of classical types
• Toroidal Lie superalgebras and free field representations

Cited by in corpus (1)

• Bosonic vertex representations of the toroidal superalgebras in type D(m,n)