A Wakimoto type realization of toroidal \(\mathfrak{sl}_{n+1}\). (English) Zbl 1294.17019
Summary: The authors construct a Wakimoto type realization of toroidal \(\mathfrak{sl}_{n+1}\). The representation constructed in this paper utilizes non-commuting differential operators acting on the tensor product of two polynomial rings in infinitely many commuting variables.
MSC:
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
| 17B69 | Vertex operators; vertex operator algebras and related structures |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
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