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

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

1996-10-28

arxiv.org/abs/hep-th/9610224v1

Nucl.Phys. B491 (1997) 574-618

Physics

High Energy Physics

High Energy Physics - Theory

64 pages, phyzzx, no figures

Scientific paper

10.1016/S0550-3213(97)00052-7

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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