Vertex representations of toroidal special linear Lie superalgebras

preprint2014arXivOpen access

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.

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Vertex representations of toroidal special linear Lie superalgebras

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