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

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

2001-09-03

arxiv.org/abs/hep-th/0109009v4

Phys.Lett. B523 (2001) 367-376

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file 12 pages; Final version for publication in Phys. Letts. B (a couple of typos on page 7 have been corrected in this

Scientific paper

10.1016/S0370-2693(01)01361-2

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 $(\beta,\gamma)$ pairs and two scalar fields. Primary fields and two screening currents of the first kind are presented.

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