Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories

Details Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories

1995-11-02

arxiv.org/abs/hep-th/9511008v1

Nucl.Phys. B464 (1996) 472-491

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Revtex

Scientific paper

10.1016/0550-3213(95)00649-4

We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories. Starting from the conjectured $S$-matrices for these theories, we develop the Thermodynamic Bethe Ansatz (TBA), where we use that the 2-particle $S$-matrices satisfy a free fermion condition. Our analysis proves a conjecture by E.~Melzer, who proposed that these $N\!=\!1$ supersymmetric TBA systems are ``folded'' versions of $N\!=\!2$ supersymmetric TBA systems that were first studied by P.~Fendley and K.~Intriligator.

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