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 in part by National Natural Science Foundation of China under Grant No. 10971071the Outstanding Youth Fund of Henan Province under Grant No. 0512000100Innovation Fund of Colleges and Universities in Henan Province
文摘In this paper, we construct a new algebra structure 7-twisted atone Lie algebra sl(3,C)[θ] and study its vertex operator representations.
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.