2007
DOI: 10.1088/1126-6708/2007/05/024
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Stringy instantons and quiver gauge theories

Abstract: We explore contributions to the 4D effective superpotential which arise from Euclidean D3 branes ("instantons") that intersect space-filling D-branes. These effects can perturb the effective field theory on the space-filling branes by nontrivial operators composed of charged matter fields, changing the vacuum structure in a qualitative way in some examples. Our considerations are exemplified throughout by a careful study of a fractional brane configuration on a del Pezzo surface.

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Cited by 188 publications
(354 citation statements)
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“…As a concrete example, consider placing multiple D-branes at the singular apex of a Calabi-Yau cone, leading to a supersymmetric gauge theory in four dimensions. Some of the resulting gauge theories have metastable vacua in which supersymmetry is dynamically broken [370][371][372][373][374][375][376], while in other cases, such as [377][378][379], there are runaway instabilities in directions parameterized by Kähler moduli [378,380,381]. But even if one finds a configuration of D-branes on a noncompact Calabi-Yau cone leading to a flat space gauge theory that dynamically breaks supersymmetry, establishing that metastability survives compactification is highly non-trivial (but see [374]).…”
Section: Uplifting To De Sittermentioning
confidence: 99%
“…As a concrete example, consider placing multiple D-branes at the singular apex of a Calabi-Yau cone, leading to a supersymmetric gauge theory in four dimensions. Some of the resulting gauge theories have metastable vacua in which supersymmetry is dynamically broken [370][371][372][373][374][375][376], while in other cases, such as [377][378][379], there are runaway instabilities in directions parameterized by Kähler moduli [378,380,381]. But even if one finds a configuration of D-branes on a noncompact Calabi-Yau cone leading to a flat space gauge theory that dynamically breaks supersymmetry, establishing that metastability survives compactification is highly non-trivial (but see [374]).…”
Section: Uplifting To De Sittermentioning
confidence: 99%
“…Actually, the non-perturbative gaugino condensate superpotential can be described in terms of 'fractional' 5 D3-brane instantons wrapped on the D7-brane 4-cycle (and with the same worldvolume gauge background). D3-brane instantons which do not have a gauge theory counterpart are dubbed exotic or stringy in the literature [23][24][25][26].…”
Section: Jhep08(2015)032mentioning
confidence: 99%
“…The relevant Euclidean D-branes in the latter case are those which intersect the space-filling D-branes of a given model, generating a non-perturbative superpotential for the chiral matter fields. The phenomenological consequences of these instanton effects have been recently analyzed in [155][156][157] (see also [158,159]), with the result that they provide new sources for moduli stabilization, generation of µ-terms and neutrino Majorana masses. Just like all the other developments described in this review, instantonic D-branes represent a piece of progress in approaching string theory to particle physics.…”
Section: Final Commentsmentioning
confidence: 99%