Abstract

Systems of D3-branes at orientifold singularities can receive non-perturbative D-brane instanton corrections, inducing field theory operators in the 4d effective theory. In certain non-chiral examples, these systems have been realized as the infrared endpoint of a Seiberg duality cascade, in which the D-brane instanton effects arise from strong gauge theory dynamics. We present the first UV duality cascade completion of chiral D3-brane theories, in which the D-brane instantons arise from gauge theory dynamics. Chiral examples are interesting because the instanton fermion zero mode sector is topologically protected, and therefore lead to more robust setups. As an application of our results, we provide a UV completion of certain D-brane orientifold systems recently claimed to produce conformal field theories with conformal invariance broken only by D-brane instantons.

Highlights

  • In some cases, when D-brane instantons sit on top of gauge D-branes, they can be interpreted as ordinary gauge instantons

  • In certain non-chiral examples, these systems have been realized as the infrared endpoint of a Seiberg duality cascade, in which the D-brane instanton effects arise from strong gauge theory dynamics

  • We present the first UV duality cascade completion of chiral D3brane theories, in which the D-brane instantons arise from gauge theory dynamics

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Summary

Cascading versus non-cascading geometries

It is convenient to classify IR theories according to whether they admit fractional branes, which trigger duality cascades, or not. All examples in the literature in which Dbrane instanton couplings have been UV completed by cascading geometries associated to to simultaneously include SO ones. Since the latter do not support interesting instantons in the IR, for notational simplicity we ignore the SO factors in the discussions. Since fractional branes are related to anomaly free rank assignments for gauge groups, non-cascading geometries can only arise when considering chiral theories. We consider the simpler case of chiral theories for cascading geometries

D-brane instanton couplings
The IR bottom of the cascade
A useful trick
The parent theory and its complex deformation
The orientifolded theory and its cascade
Basic step in the duality cascade
The instanton
Conclusions
A The SPP cascade and orientifolds thereof
Adding orbifolds
SPP with an orientifold line
Full Text
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