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 the Ray-Singer analytic torsion, and can be viewed as a generalization of that to the loop space of Kahler manifolds.

Ising model and N=2 supersymmetric theories / Cecotti, Sergio; Vafa, C.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 157:1(1993), pp. 139-178. [10.1007/BF02098023]

Ising model and N=2 supersymmetric theories

Cecotti, Sergio;
1993-01-01

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 the Ray-Singer analytic torsion, and can be viewed as a generalization of that to the loop space of Kahler manifolds.
1993
157
1
139
178
Cecotti, Sergio; Vafa, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13555
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