On the Heterotic/F-Theory Duality in Eight Dimensions
W. Lerche
TL;DR
This paper reviews tests of the duality between heterotic string theory on T^2 and F-theory on K3, focusing on matching one-loop threshold corrections with geometric data and exploring non-perturbative 7-brane interactions.
Contribution
It provides a detailed comparison of heterotic and F-theory duality in eight dimensions, emphasizing exact computations and geometric interpretations.
Findings
Successful matching of threshold corrections with K3 geometry
Insights into non-perturbative 7-brane interactions
Validation of heterotic/F-theory duality in specific compactifications
Abstract
We review quantitative tests on the duality between the heterotic string on T^2 and F-theory on K3. On the heterotic side, certain threshold corrections to the effective action can be exactly computed at one-loop order, and the issue is to reproduce these from geometric quantities pertaining to the K3 surface. In doing so we learn about certain non-perturbative interactions of 7-branes.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Particle physics theoretical and experimental studies