Mirror Symmetry via Deformation of Bundles on K3 Surfaces
Eugene Perevalov, Govindan Rajesh
TL;DR
This paper explores mirror symmetry in F-theory compactifications on elliptic Calabi-Yau threefolds, revealing a transformation linking heterotic models on K3 surfaces with different bundle data, indicating a deep duality.
Contribution
It introduces a new perspective on mirror symmetry involving bundle deformations on K3 surfaces within F-theory and heterotic string dualities.
Findings
Evidence for a transformation linking heterotic models on K3 surfaces.
Identification of a mirror symmetry transformation involving bundle deformations.
Insights into nonperturbative equivalences between different string compactifications.
Abstract
We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively equivalent to some compactification of heterotic strings on a K3 surface S with certain bundle data E --> S. We find evidence for a transformation of S together with the bundle that takes one heterotic model to the other.
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