On quantum equivalence of dual sigma models: $SL(3)$ examples

Abstract

The equivalence of several $SL(3)$ sigma models and their special Abelian duals is investigated in the two loop order of perturbation theory. The investigation is based on extracting and comparing various $\beta$ functions of the original and dual models. The role of the discrete global symmetries is emphasized.

Plain TEX, 24 pages

References in corpus (5)

• On Non-Abelian Duality
• A Canonical Approach to Duality Transformations
• Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
• Non-Abelian Duality and Canonical Transformations
• Duality Transformations Away From Conformal Points

Cited by in corpus (4)

• Quantum equivalence of sigma models related by non Abelian Duality Transformations
• T-Duality and Conformal Invariance at Two Loops
• Quantum structure of T-dualized models with symmetry breaking
• A Two-loop Test of Buscher's T-duality I