Multi instanton tests of holography

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.

18 pages

References in corpus (5)

• Exotic instanton counting and heterotic/type I' duality
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• Exotic prepotentials from D(-1)D7 dynamics
• Stringy instanton corrections to N=2 gauge couplings
• Holographic non-perturbative corrections to gauge couplings

Cited by in corpus (8)

• Non-perturbative gauge/gravity correspondence in N=2 theories
• Unoriented Quivers with Flavour
• Branes, U-folds and hyperelliptic fibrations
• Examples of Emergent Type IIB Backgrounds from Matrices
• U-folds as K3 fibrations
• Non-perturbative gauge couplings from holography
• Non-perturbative aspects of gauge/gravity duality
• The chiral ring of gauge theories in eight dimensions