Mirror Symmetry and Partition Functions

Understand

Localization methods have produced explicit expressions for the sphere partition functions of (2,2) superconformal field theories.

• The mirror symmetry conjecture predicts an IR duality between pairs of Abelian gauged linear sigma models, a class of which describe families of Calabi-Yau manifolds realizable as complete intersections in toric varieties.
• We investigate this prediction for the sphere partition functions and find agreement between that of a model and its mirror up to the scheme-dependent ambiguities inherent in the definitions of these quantities.