%0 Journal Article %1 Cecotti:1992vy %A Cecotti, Sergio %A Vafa, Cumrun %D 1993 %J Commun. Math. Phys. %K D2 IsingModel N2 Supersymmetry %P 139-178 %R 10.1007/BF02098023 %T Ising model and N=2 supersymmetric theories %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/9209085 %V 157 %X 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.

@article{Cecotti:1992vy, abstract = { 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 K\"ahler manifolds. }, added-at = {2009-04-16T13:54:06.000+0200}, archiveprefix = {arXiv}, author = {Cecotti, Sergio and Vafa, Cumrun}, biburl = {https://www.bibsonomy.org/bibtex/2e9c95fbe40ca6659d0d2f1c4180e514e/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-TH/9209085}, doi = {10.1007/BF02098023}, eprint = {hep-th/9209085}, interhash = {1db24b0fdd42a5d917d5df2c85cc49f6}, intrahash = {e9c95fbe40ca6659d0d2f1c4180e514e}, journal = {Commun. Math. Phys.}, keywords = {D2 IsingModel N2 Supersymmetry}, pages = {139-178}, slaccitation = {%%CITATION = HEP-TH/9209085;%%}, timestamp = {2009-04-16T13:54:06.000+0200}, title = {{Ising model and N=2 supersymmetric theories}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/9209085}, volume = 157, year = 1993 }