Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories

Details Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories Deformed 2d CFT: Landau-Ginzburg Lagrangians and Toda theories

1994-12-21

arxiv.org/abs/hep-th/9412191v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages LaTeX. 2 PostScript figures (uuencoded tarred files)

Scientific paper

We consider the relation between affine Toda field theories (ATFT) and Landau-Ginzburg Lagrangians as alternative descriptions of deformed 2d CFT. First, we show that the two concrete implementations of the deformation are consistent once quantum corrections to the Landau-Ginzburg Lagrangian are taken into account. Second, inspired by Gepner's fusion potentials, we explore the possibility of a direct connection between both types of Lagrangians; namely, whether they can be transformed one into another by a change of variables. This direct connection exists in the one-variable case, namely, for the sine-Gordon model, but cannot be established in general. Nevertheless, we show that both potentials exhibit the same structure of extrema.

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