D-instanton probes of N=2 non-conformal geometries

Abstract

D-instanton calculus has proved to be able to probe the AdS near horizon geometry for $N$ D-branes systems which, when decoupled from gravity, yield four dimensional superconformal gauge theories with various matter content. In this work we extend previous analysis to encompass fractional brane models which give rise to non conformal N=2 Super Yang-Mills theories. Via D-instanton calculus we study the geometry of such models for finite $N$ and recover the $\beta$ function of the gauge coupling constants which is expected in non conformal gauge theories. We also give a topological matrix theory formulation for the D-instanton action of these theories. Finally, we revisit the related system where the D3-branes wrap a ${\real}^4/{\zet}_p$ orbifold singularity and the D(-1) branes are associated to instanton solutions of four-dimensional gauge theories in the blown down ALE space.

latex file, 26 pages no figures

Cited by in corpus (22)

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• Multi instanton calculus on ALE spaces
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• Instantons on Quivers and Orientifolds
• Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
• Exotic prepotentials from D(-1)D7 dynamics
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Stringy instanton corrections to N=2 gauge couplings
• Superlocalization formulas and supersymmetric Yang-Mills theories
• Supersymmetric 3-branes on smooth ALE manifolds with flux
• N=2 four-dimensional gauge theories from fractional branes
• The Stringy Instanton Partition Function
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• Instanton on toric singularities and black hole countings
• Walls from fluxes: An analytic RG-flow
• Microscopic quantum superpotential in N=1 gauge theories
• Glueball operators and the microscopic approach to N=1 gauge theories
• On the Chiral Ring of N=1 Supersymmetric Gauge Theories
• BPS D3-branes on smooth ALE manifolds