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On osp(2|2) conformal field theories

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

We study the conformal field theories corresponding to current superalgebras $osp(2|2)^{(1)}_k$ and $osp(2|2)^{(2)}_k$. We construct the free field realizations, screen currents and primary fields of these current superalgebras at general level $k$. All the results for $osp(2|2)^{(2)}_k$ are new, and the results for the primary fields of $osp(2|2)^{(1)}_k$ 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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Xiang-Mao Ding, Mark D. Gould, Courtney J. Mewton, Yao-Zhong Zhang. 2003-03-21. On osp(2|2) conformal field theories. https://doi.org/10.1088/0305-4470%2F36%2F27%2F316

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