Twisted sl(3)**(2)(k) current algebra: Free field representation and screening currents

Sep, 2001
11 pages
Published in:
  • Phys.Lett.B 523 (2001) 367-376
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200120022003051
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.
Note:
  • 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) Subj-class: High Energy Physics - Theory; Quantum Algebra; Mathematical Physics
  • current algebra: SL(3)
  • tensor: energy-momentum
  • current: screening
  • current: affine