ISING-MODEL AND N=2 SUPERSYMMETRIC THEORIES

Authors
Citation
S. Cecotti et C. Vafa, ISING-MODEL AND N=2 SUPERSYMMETRIC THEORIES, Communications in Mathematical Physics, 157(1), 1993, pp. 139-178
Citations number
81
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
157
Issue
1
Year of publication
1993
Pages
139 - 178
Database
ISI
SICI code
0010-3616(1993)157:1<139:IANST>2.0.ZU;2-8
Abstract
We establish a direct link between massive Ising model and arbitrary m assive 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 geo metry of vacua in N = 2 theories. The tau-function appearing in the Is ing model (i.e., the spin correlation function) is reinterpreted in th e 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 ge neralization of that to the loop space of Kahler manifolds.