Exotic prepotentials from D(-1)D7 dynamics

Abstract

We compute the partition functions of D(-1)D7 systems describing the multi-instanton dynamics of SO(N) gauge theories in eight dimensions. This is the simplest instance of the so called exotic instantons. In analogy with the Seiberg-Witten theory in four space-time dimensions, the prepotential and correlators in the chiral ring are derived via localization formulas and found to satisfy relations of the Matone type. Exotic prepotentials of SO(N) gauge theories with N=2 supersymmetries in four-dimensions are also discussed.

19 pages

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Cited by in corpus (31)

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• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Non-perturbative gauge/gravity correspondence in N=2 theories
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• Physics of Infinite Complex Structure Limits in eight Dimensions
• Stringy instanton corrections to N=2 gauge couplings
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• The exact 8d chiral ring from 4d recursion relations
• ADHM Construction of (Anti-)Self-dual Instantons in Eight Dimensions
• D-instanton and polyinstanton effects from type I' D0-brane loops
• On the D(-1)/D7-brane systems
• Holographic non-perturbative corrections to gauge couplings
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Torsion and Supersymmetry in Omega-background
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• Field Theory Interpretation of N=2 Stringy Instantons
• Stringy instanton effects in N=2 gauge theories
• Multi instanton tests of holography
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Stringy Instantons in SU(N) N=2 Non-Conformal Gauge Theories
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Octonionic instantons in eight dimensions
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Non-perturbative gauge couplings from holography
• Instanton corrections to the effective action of N=4 SYM
• Stringy Instanton Counting and Topological Strings
• Stringy instantons and dualities
• The chiral ring of gauge theories in eight dimensions
• Solitons and exotic instantons
• Exotic instantons in eight dimensions