SCATTERING AND THERMODYNAMICS IN INTEGRABLE N = 2 THEORIES

We study N = 2 supersymmetric integrable theories with spontaneously-broken Z(n) 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 A(n)-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 Z(n) N = 2 theories are given by the tensor product of the above basic N = 2 Z(n) scattering theory with various N = 0 theories. In particular, we consider integrable perturbations of N = 2 Kazama-Suzuki models described by generalized Chebyshev potentials, CP(n-1) sigma models, and N = 2 sine-Gordon and its affine Toda generalizations.