Bethe Ansatz for Lattice Analogues of $N=2$ Superconformal Theories

Abstract

The critical Boltzmann weights for lattice analogues of the $N=2$ superconformal coset models $\frac{G_1\times SO(dim(G/H))}{H}$ were given in \cite{nick}. In this paper Bethe Ansatz methods are employed to calculate the spectrum of the transfer matrix obtained from these Boltzmann weights. {}From this the central charge and conformal weights are obtained by calculating finite-size corrections to the free energy per site. The results agree with those obtained from the superconformal model.

7 pages, preprint USC-93/019