Orientifolds, Mirror Symmetry and Superpotentials
Bobby Acharya, Mina Aganagic, Kentaro Hori, Cumrun Vafa
TL;DR
This paper explores how mirror symmetry can be used to compute superpotentials in orientifold compactifications of Calabi-Yau threefolds, focusing on contributions from specific worldsheet topologies.
Contribution
It demonstrates a method to sum worldsheet instanton contributions to superpotentials using mirror symmetry in orientifold settings.
Findings
Mirror symmetry relates Type IIA and Type IIB superstring superpotentials.
Worldsheet instanton contributions can be summed explicitly.
Disc and ${f RP^2}$ topologies are key in the analysis.
Abstract
We consider orientifolds of Calabi-Yau 3-folds in the context of Type IIA and Type IIB superstrings. We show how mirror symmetry can be used to sum up worldsheet instanton contributions to the superpotential for Type IIA superstrings. The relevant worldsheets have the topology of the disc and .
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometry and complex manifolds · Nonlinear Waves and Solitons