Refining the Elliptic Genus

Details Refining the Elliptic Genus Refining the Elliptic Genus

1994-03-07

arxiv.org/abs/hep-th/9403047v2

Phys.Lett.B329:53-60,1994

Physics

High Energy Physics

High Energy Physics - Theory

15pages, no figures, harvmac. preprint USC-94/002

Scientific paper

10.1016/0370-2693(94)90516-9

We show how special forms of an $N=2$ Landau-Ginzburg potential directly imply the presence of an $N=2$ super-$W$ algebra. If the Landau-Ginzburg model has a super-$W$ algebra, we show how the elliptic genus can be refined so as to give much more complete information about the structure of the model. We study the super-$W_3$ model in some detail, and present some results and conjectures about more general models.

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