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

Abstract

Motivated by applications of twisted current algebras in description of the entropy of $Ad{s}_3$ black hole, we investigate the simplest twisted current algebra $sl(3,\mathbf{C}{)}_k^{(2)}$. 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.

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)

References in corpus (1)

• Wakimoto Modules for Twisted Affine Lie Algebras

Cited by in corpus (5)

• $gl(2|2)$ Current Superalgebra and Non-unitary Conformal Field Theory
• On osp(2|2) conformal field theories
• K-matrices for 2D conformal field theories
• Explicit description of twisted Wakimoto realizations of affine Lie algebras
• $A_2^{(2)}$ Parafermions: A New Conformal Field Theory