Bosonic realization of toroidal Lie algebras of classical types
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چکیده
Generalizing Feingold-Frenkel’s construction we use Weyl bosonic fields to construct toroidal Lie algebras of types An, Bn, Cn and Dn of level −1,−2,−1/2 and −2 respectively. In particular, our construction also gives new bosonic construction for the orthogonal Lie algebras in the cases of affine Lie algebras.
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تاریخ انتشار 2009