2016/05/31 by Juan Pablo Babaro, Gastón Giribet, Gaston Giribet +1
Mathematics · Physics and Astronomy · #Affine transformation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Field (mathematics) #Field theory (psychology) #Geometry #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1103/physrevd.94.086001
published as Phys. Rev. D 94, 086001 (2016) · 27 pages. Typos corrected. Discussion added
openalex created_date 2016/06/24 · arxiv created 2016/10/05 · openalex publication_date 2016/10/06 · arxiv updated 2016/10/12 · openalex updated_date 2026/08/05
We construct a set of nonrational conformal field theories that consist of deformations of Toda field theory for sl(n). In addition to preserving conformal invariance, the theories may still exhibit a remnant infinite-dimensional affine symmetry. The case n=3 is used to illustrate this phenomenon, together with further deformations that yield enhanced Kac-Moody symmetry algebras. For generic n we compute N-point correlation functions on the Riemann sphere and show that these can be expressed in terms of sl(n) Toda field theory ((N\ensuremath-2)n+2)-point correlation functions.