Toroidal Lie superalgebras and free field representations

Abstract

A loop-algebraic presentation is given for toroidal Lie superalgebras of classical types. Based on the loop superalgebra presentation free field realizations of toroidal Lie superalgebras are constructed for types $A(m,n)$, $B(m,n)$, C(n) and $D(m,n)$.

23 pages

References in corpus (1)

• Fermionic realization of toroidal Lie algebras of classical types

Cited by in corpus (3)

• Vertex representations of toroidal special linear Lie superalgebras
• Bosonic free field realization of twisted 2-toroidal Lie algebras
• Bosonic vertex representations of the toroidal superalgebras in type D(m,n)