Non-perturbative effects on seven-brane Yukawa couplings

Details Non-perturbative effects on seven-brane Yukawa couplings Non-perturbative effects on seven-brane Yukawa couplings

2009-10-29

arxiv.org/abs/0910.5496v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages. v2: minor changes, footnotes and citations added. Version to be published in PRL

Scientific paper

We analyze non-perturbative corrections to the superpotential of seven-brane gauge theories on type IIB and F-theory warped Calabi-Yau compactifications. We show in particular that such corrections modify the holomorphic Yukawa couplings by an exponentially suppressed contribution, generically solving the Yukawa rank-one problem present in F-theory local models. We provide explicit expressions for the non-perturbative correction to the seven-brane superpotential, and check that it is related to a non-commutative deformation to the tree-level superpotential via the Seiberg-Witten map.

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