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

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

2000-01-16

arxiv.org/abs/hep-th/0001091v1

Int.J.Mod.Phys. A15 (2000) 3315-3340

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X00001060

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.

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