Ising Model and $N=2$ Supersymmetric Theories

Abstract

We establish a direct link between massive Ising model and arbitrary massive $N=2$ supersymmetric QFT's in two dimensions. This explains why the equations which appear in the computation of spin-correlations in the non-critical Ising model are the same as those describing the geometry of vacua in $N=2$ theories. The tau-function appearing in the Ising model (i.e., the spin correlation function) is reinterpreted in the $N=2$ context as a new `index'. In special cases this new index is related to Ray-Singer analytic torsion, and can be viewed as a generalization of that to loop space of Kähler manifolds.

60 pages, HUTP-92/A044,SISSA-167/92/EP

References in corpus (1)

• Exact Results for Supersymmetric Sigma Models

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