Abstract
We study the $\mathcal N=2$ field theory realized by D3-branes on the ${\mathbb C}^2/{\mathbb Z}_2$ orbifold. The dual supergravity solution exhibits a repulson singularity cured by the enhancon mechanism. By comparing the open and closed string descriptions of a probe D-instanton, we can compute the exact non-perturbative profile of the supergravity twisted field, which determines the supergravity background. We then show how the non-trivial IR physics of the field theory translates into the stringy effects that give rise to the enhancon mechanism and the associated excision procedure.
Highlights
Theory, which preserves N = 2 supersymmetry
We study the N = 2 field theory realized by D3-branes on the C2/Z2 orbifold
We show how the non-trivial IR physics of the field theory translates into the stringy effects that give rise to the enhancon mechanism and the associated excision procedure
Summary
Our setup is made up of a large number of parallel N regular and 2M fractional D3-branes in R4 × C × C2/Z2. Thinking of the fractional D3-branes as wrapped D5-branes, it is easy to understand that the reduction of the potentials C2 and B2 on the exceptional cycle Σ will give rise to non-zero twisted scalars c and b. These two fields can only depend on z, z, as the fractional D3-branes can only probe this plane, and are conveniently combined to form the complex field: γ. The profile of the twisted supergravity field is in turn solely determined by the positions of the fractional D3-branes. The distribution of branes is naturally related to the different vacua of the dual gauge theory, as we explain
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