On osp(2|2) conformal field theories

Xiang-Mao Ding; Mark D. Gould; Courtney J. Mewton; Yao-Zhong Zhang

doi:10.1088/0305-4470/36/27/316

paper

On osp(2|2) conformal field theories

arXiv:hep-th/0211235 · doi:10.1088/0305-4470/36/27/316

Abstract

We study the conformal field theories corresponding to current superalgebras $os p (2∣2)_{k}^{(1)}$ and $os p (2∣2)_{k}^{(2)}$ . We construct the free field realizations, screen currents and primary fields of these current superalgebras at general level $k$ . All the results for $os p (2∣2)_{k}^{(2)}$ are new, and the results for the primary fields of $os p (2∣2)_{k}^{(1)}$ also seem to be new. Our results are expected to be useful in the supersymmetric approach to Gaussian disordered systems such as random bond Ising model and Dirac model.

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