Abstract
A realization of the affine Lie algebra \({A^{(1)}_1}\) and the relevant \(Z\)-algebra at negative level \(-k\) is given in terms of parafermions. This generalizes the recent work on realization of the affine Lie algebra at the critical level.
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Dong, J., Jing, N. (2014). Realizations of Affine Lie Algebra \({A^{(1)}_1}\) at Negative Levels. In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_36
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DOI: https://doi.org/10.1007/978-3-642-55361-5_36
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