Twisted sl(3,C)(2)k current algebra: free field representation and screening currents

Motivated by application of twisted current algebra in description of the entropy of Ads3 black hole, we investigate the simplest twisted current algebra sl(3,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.