Differential operator realizations of superalgebras and free field representations of corresponding current algebras |
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Authors: | Wen-Li Yang Yao-Zhong Zhang Samuel Kault |
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Institution: | 1. Institute of Modern Physics, Northwest University, Xian 710069, PR China;2. The University of Queensland, School of Mathematics and Physics, Brisbane, QLD 4072, Australia |
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Abstract: | Based on the particular orderings introduced for the positive roots of finite-dimensional basic Lie superalgebras, we construct the explicit differential operator representations of the osp(2r|2n) and osp(2r+1|2n) superalgebras and the explicit free field realizations of the corresponding current superalgebras ospk(2r|2n) and ospk(2r+1|2n) at an arbitrary level k. The free field representations of the corresponding energy–momentum tensors and screening currents of the first kind are also presented. |
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Keywords: | 11 25 Hf |
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