Differential operator realizations of superalgebras and free field representations of corresponding current algebras

Details Differential operator realizations of superalgebras and free field representations of corresponding current algebras Differential operator realizations of superalgebras and free field representations of corresponding current algebras

2008-10-21

arxiv.org/abs/0810.3719v2

Nucl.Phys.B823:372-402,2009

Physics

High Energy Physics

High Energy Physics - Theory

Latex file; 41 pages; V2, typos corrected

Scientific paper

10.1016/j.nuclphysb.2009.06.029

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 $osp(2r|2n)_k$ and $osp(2r+1|2n)_k$ 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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