Two-point Functions in Affine Current Algebra and Conjugate Weights

Abstract

The two-point functions in affine current algebras based on simple Lie algebras are constructed for all representations, integrable or non-integrable. The weight of the conjugate field to a primary field of arbitrary weight is immediately read off.

9 pages, LaTeX

References in corpus (2)

• Free Field Realizations of Affine Current Superalgebras, Screening Currents and Primary Fields
• Two-point Functions in Affine SL(N) Current Algebra

Cited by in corpus (5)

• On Principal Admissible Representations and Conformal Field Theory
• On the level-dependence of Wess-Zumino-Witten three-point functions
• On duality and extended chiral symmetry in the SL(2,R) WZW model
• Fusion in coset CFT from admissible singular-vector decoupling
• Higher-genus su(N) fusion multiplicities as polytope volumes