Twist fields, the elliptic genus, and hidden symmetry.
We combine infinite dimensional analysis (in particular a priori estimates and twist positivity) with classical geometric structures, supersymmetry, and noncommutative geometry. We establish the existence of a family of examples of two-dimensional, twist quantum fields. We evaluate the elliptic genus in these examples. We demonstrate a hidden SL(2,Z) symmetry of the elliptic genus, as suggested by Witten.
Jaffe
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Harvard University, Cambridge, MA 02138, USA.