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Mirror Symmetry and Partition Functions

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abstract

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.

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hep-th 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

A toolkit for twisted chiral superfields

hep-th · 2019-08-16 · conditional · novelty 4.0

The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case is omitted.

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  • A toolkit for twisted chiral superfields hep-th · 2019-08-16 · conditional · none · ref 14 · internal anchor

    The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case is omitted.