Toroidal Lie superalgebras and free field representations

preprint2013arXivOpen access

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 $D(m,n)$ .

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Toroidal Lie superalgebras and free field representations

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