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.
基金supported by the National Natural Science Foundation of China(No.11271138,No.11301393)the Simons Foundation(No.198219)the domestic visiting scholar professional development project of colleges and Universities in Zhejiang Province(No.FX2014099)
文摘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.
