Twist fields, the elliptic genus, and hidden symmetry.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 10677476.
- Also identified by PMC identifier 26448.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
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.