Quantum Non-abelian Toda Field Theories

Abstract

We derive an explicit, exactly conformally invariant form for the action for the non-abelian Toda field theory. We demonstrate that the conformal invariance conditions, expressed in terms of the $\beta$-functions of the theory, are satisfied to all orders, and we use our results to obtain a value for the central charge agreeing with previous calculations.

28pp, harvmac (choose "b" option)

References in corpus (3)

• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• Heterotic string solutions and coset conformal field theories
• The Space of Solutions of Toda Field Theory

Cited by in corpus (5)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Multidimensional Toda Lattices: Continuous and Discrete Time
• Non-abelian Toda theory on AdS${}_2$ and AdS${}_2$/CFT${}_2^{1/2}$ duality
• The Exact Tachyon Beta-Function for the Wess-Zumino-Witten Model