English

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

High Energy Physics - Theory 2009-11-07 v4 Mathematical Physics math.MP Quantum Algebra

Abstract

Motivated by applications of twisted current algebras in description of the entropy of Ads3Ads_3 black hole, we investigate the simplest twisted current algebra sl(3,C)k(2)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)(\beta,\gamma) pairs and two scalar fields. Primary fields and two screening currents of the first kind are presented.

Keywords

Cite

@article{arxiv.hep-th/0109009,
  title  = {Twisted $sl(3, {\bf C})^{(2)}_k$ Current Algebra: Free Field Representation and Screening Currents},
  author = {Xiang-Mao Ding and Mark D. Gould and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:hep-th/0109009},
  year   = {2009}
}

Comments

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