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arXiv · hep-th/0109009

Twisted $sl(3, {\bf C})^{(2)}_k$ Current Algebra: Free Field Representation and Screening Currents

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

Motivated by applications of twisted current algebras in description of the entropy of $Ads_3$ black hole, we investigate the simplest twisted current algebra $sl(3,{\bf C})^{(2)}_k$. Free field representation of the twisted algebra and the corresponding twisted Sugawara energy-momentum tensor are obtained by using three $(β,γ)$ pairs and two scalar fields. Primary fields and two screening currents of the first kind are presented.

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Xiang-Mao Ding, Mark D. Gould, Yao-Zhong Zhang. 2001-11-15. Twisted $sl(3, {\bf C})^{(2)}_k$ Current Algebra: Free Field Representation and Screening Currents. https://doi.org/10.1016/s0370-2693(01)01361-2

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