Instanton sums and five-dimensional gauge theories
Albion Lawrence, Nikita Nekrasov (Harvard U.)
TL;DR
This paper explores the relationship between worldsheet instanton corrections in type IIA string compactifications and one-loop effects in five-dimensional gauge theories, revealing a natural interpretation and duality mappings.
Contribution
It provides a novel interpretation of worldsheet instanton corrections as one-loop effects in five dimensions and discusses dualities with heterotic instantons.
Findings
Worldsheet instantons correspond to one-loop corrections in 5D
A natural relation between spacetime and worldsheet instantons is established
Duality map between type IIA and heterotic instantons is discussed
Abstract
We analyze the vector multiplet prepotential of d=4, N=2 type IIA compactifications. We find that the worldsheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension being compactified on a circle of radius . We argue that the relation between spacetime and worldsheet instantons is natural from this point of view. We also discuss the map between the type IIA worldsheet instantons and the spacetime instantons in the heterotic dual.
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