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| Vertex Representations of Toroidal Special Linear Lie Superalgebras |
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Citation： |
Naihuan JING,Chongbin XU.Vertex Representations of Toroidal Special Linear Lie Superalgebras[J].Chinese Annals of Mathematics B,2015,36(3):427~436 |
| Page view： 1037
Net amount： 898 |
Authors： |
Naihuan JING; Chongbin XU; |
Foundation： |
supported by the National Natural Science Foundation of China (No. 11271138,
No. 11301393), the Simons Foundation (No. 198219) and the domestic visiting scholar professional
development project of colleges and Universities in Zhejiang Province (No. FX2014099). |
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| Abstract： |
Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, a free
field representation of toroidal Lie superalgebras of type A(m, n) is constructed using both
vertex operators and bosonic fields. |
Keywords： |
Toroidal Lie superalgebras, Vertex operators, Free fields |
Classification： |
17B60, 17B67, 17B69, 17A45, 81R10 |
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