English

Dual generalizations of sine-Gordon field theory and integrability submanifolds in parameter space

High Energy Physics - Theory 2014-11-18 v1

Abstract

The dual relationship between two n-1 parameter families of quantum field theories based on extended complex numbers is investigated in two dimensions. The non-local conserved charges approach is used. The lowest rank affine Toda field theories are generated and identified as integrability submanifolds in parameter space. A truncation of the model leads to a conformal field theory in extended complex space. Depending on the projection over usual complex space chosen, a parametrized central charge is calculated.

Keywords

Cite

@article{arxiv.hep-th/0001091,
  title  = {Dual generalizations of sine-Gordon field theory and integrability submanifolds in parameter space},
  author = {P. Baseilhac and D. Reynaud},
  journal= {arXiv preprint arXiv:hep-th/0001091},
  year   = {2014}
}

Comments

26 pages, LaTex file with amstex, epsfig, to appear in Int. J. Mod. Phys. A