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

作者：Yang Wen Li^*; Zhang Yao Zhong; Kault Samuel

来源：Nuclear Physics B, 2009, 823(3): 372-402.

DOI：10.1016/j.nuclphysb.2009.06.029

• Conformal field theory
• Affine current algebra
• Free field realization

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.

• 出版日期2009-12-21
• 单位西北大学