1992/02/04 by P. Fendley, K. Intriligator · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/0550-3213(92)90523-e
published as Nucl.Phys. B380 (1992) 265-292 · 31 pages
arxiv created 1992/02/04 · arxiv updated 2009/11/30
We study N=2 supersymmetric integrable theories with spontaneously-broken \Zn symmetry. They have exact soliton masses given by the affine SU(n) Toda masses and fractional fermion numbers given by multiples of 1/n. The basic such N=2 integrable theory is the An-type N=2 minimal model perturbed by the most relevant operator. The soliton content and exact S-matrices are obtained using the Landau-Ginzburg description. We study the thermodynamics of these theories and calculate the ground-state energies exactly, verifying that they have the correct conformal limits. We conjecture that the soliton content and S-matrices in other integrable \Zn N=2 theories are given by the tensor product of the above basic N=2 \Zn scattering theory with various N=0 theories. In particular, we consider integrable perturbations of N=2 Kazama-Suzuki models described by generalized Chebyshev potentials, CPn-1 sigma models, and N=2 sine-Gordon and its affine Toda generalizations.