1997/12/31 by Paul Zinn-Justin, P. Zinn-Justin · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1088/0305-4470/31/31/019
published as J.Phys.A31:6747-6770,1998 · 33 pages, TeX with lanlmac (revised: minor misprints corrected, some comments added, appendix slightly expanded revised 05/98: more misprints corrected, important refs added)
arxiv created 1998/05/03 · openalex publication_date 1998/08/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
A set of coupled nonlinear integral equations (NLIE) is derived for a class of models connected to the quantum group ( simply laced Lie algebra), which are solvable using the Bethe ansatz; these equations describe arbitrary excited states of a system with finite spatial length L . They generalize the simpler NLIE of the sine-Gordon/massive Thirring model to affine Toda field theory with imaginary coupling constant. As an application, the central charge and all the conformal weights of the UV conformal field theory are extracted in a straightforward manner. The quantum group truncation for q at a root of unity is discussed in detail; in the UV limit we recover through this procedure the RCFTs with extended conformal symmetry.