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arXiv · hep-th/9610224

Structure constants for the osp(1|2) current algebra

I. P. Ennes·A. V. Ramallo·J. M. Sanchez de Santos
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Abstract

We study the free field realization of the two-dimensional osp(1|2) current algebra. We consider the case in which the level of the affine osp(1|2) symmetry is a positive integer. Using the Coulomb gas technique we obtain integral representations for the conformal blocks of the model. In particular, from the behaviour of the four-point function, we extract the structure constants for the product of two arbitrary primary operators of the theory. From this result we derive the fusion rules of the osp(1|2) conformal field theory and we explore the connections between the osp(1|2) affine symmetry and the N=1 superconformal field theories.

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I. P. Ennes, A. V. Ramallo, J. M. Sanchez de Santos. 1996-10-28. Structure constants for the osp(1|2) current algebra. https://doi.org/10.1016/s0550-3213(97)00052-7

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