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

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

2001-06-07

arxiv.org/abs/hep-th/0106061v2

JHEP 0107:012,2001

Physics

High Energy Physics

High Energy Physics - Theory

latex file, 26 pages no figures

Scientific paper

10.1088/1126-6708/2001/07/012

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.

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