Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras

  title={Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras},
  author={Paul Zinn-Justin},
  journal={Journal of Physics A},
  • P. Zinn-Justin
  • Published 23 December 1997
  • Mathematics
  • Journal of Physics A
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… 

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