Scattering and Thermodynamics of Integrable N=2 Theories

Details Scattering and Thermodynamics of Integrable N=2 Theories Scattering and Thermodynamics of Integrable N=2 Theories

1992-02-04

arxiv.org/abs/hep-th/9202011v1

Nucl.Phys. B380 (1992) 265-292

Physics

High Energy Physics

High Energy Physics - Theory

31 pages

Scientific paper

10.1016/0550-3213(92)90523-E

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 $A_n$-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 \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, $CP^{n-1}$ sigma models, and $N$=2 sine-Gordon and its affine Toda generalizations.

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