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arXiv · 1308.2826

Toroidal Lie superalgebras and free field representations

Naihuan Jing·Chongbin Xu
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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 $D(m,n)$.

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Naihuan Jing, Chongbin Xu. 2013-08-13. Toroidal Lie superalgebras and free field representations. https://doi.org/10.1090/conm%2F623%2F12445

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