Multi instanton tests of holography
F.Fucito, J. F. Morales, D. Ricci Pacifici
TL;DR
This paper explores the relationship between gauge theories on D7-branes and their holographic duals in IIB supergravity, using localization to connect eight-dimensional correlators with four-dimensional gauge couplings.
Contribution
It demonstrates that chiral correlators in eight-dimensional gauge theories determine the gauge coupling in four-dimensional N=2 supersymmetric theories via holography.
Findings
Localization computes gauge theory correlators.
Correlators determine four-dimensional gauge couplings.
Holographic relation between D7-brane theories and D3-brane probes.
Abstract
Gauge theories living on stacks of D7-branes are holographically related to IIB gravitational backgrounds with a varying axion-dilaton field (F-theory). The axion-dilaton field is generated by D7, O7 and D-instanton sources and can be written in terms of the chiral correlators of the eight dimensional gauge theory living on the D7-branes. Using localization techniques, we prove that the same correlators determine the gauge coupling of the four-dimensional N=2 supersymmetric SU(2) gauge theories living on the elementary D3-brane which probes the F-theory geometries.
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