Fluxed M5-instantons in F-theory

Kerstan, Max; Weigand, Timo

doi:10.1016/j.nuclphysb.2012.07.008

Cited by 36 publications

(211 citation statements)

References 97 publications

(371 reference statements)

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“…Here we essentially follow [21,52]. 2 For a single Euclidean D3-brane instanton to contribute to the superpotential it needs to carry the right zero-mode structure.…”

Section: Fluxed D3-brane Instantonsmentioning

confidence: 99%

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F-term stabilization of odd axions in LARGE volume scenario

Gao

Shukla

2014

Nuclear Physics B

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“…Here we essentially follow [21,52]. 2 For a single Euclidean D3-brane instanton to contribute to the superpotential it needs to carry the right zero-mode structure.…”

Section: Fluxed D3-brane Instantonsmentioning

confidence: 99%

“…The extra factor of two is due to the orientifold projection (see [52]). The two-cycles ω m are related to the pull-back two-cycles in…”

Section: Fluxed D3-brane Instantonsmentioning

confidence: 99%

F-term stabilization of odd axions in LARGE volume scenario

Gao

Shukla

2014

Nuclear Physics B

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“…Non-perturbative effects can solve this rank-one problem [112][113][114][115]. 12 The generation of charged operators via D3/M5-branes in F-theory along the lines of [28][29][30][31][32] has been studied recently in [71,116,[116][117][118][119][120][121], and related aspects of such instantons in F-theory appear in [122][123][124][125][126][127]. 13 The generation of such mass hierarchies in perturbative Type II MSSM quivers has been studied systematically in [38][39][40].…”

Section: Criteria For Standard Model Embeddingsmentioning

confidence: 99%

Towards the Standard Model in F-theory

2015

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This article explores possible embeddings of the Standard Model gauge group and its matter representations into F-theory. To this end we construct elliptic fibrations with gauge group SU (3) × SU (2) × U (1) × U (1) as suitable restrictions of a Bl 2 P 2 -fibration with rank-two MordellWeil group. We analyse the five inequivalent toric enhancements to gauge group SU (3) × SU (2) along two independent divisors W 3 and W 2 in the base. For each of the resulting smooth fibrations, the representation spectrum generically consists of a bifundamental (3, 2), three types of (1, 2) representations and five types of (3, 1) representations (plus conjugates), in addition to charged singlet states. The precise spectrum of zero-modes in these representations depends on the 3-form background. We analyse the geometrically realised Yukawa couplings among all these states and find complete agreement with field theoretic expectations based on their U (1) charges. We classify possible identifications of the found representations with the Standard Model field content extended by right-handed neutrinos and extra singlets. The linear combination of the two abelian gauge group factors orthogonal to hypercharge acts as a selection rule which, depending on the specific model, can forbid dangerous dimension-four and -five proton decay operators.

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“…[33,34]. A similar strategy has been also suggested in the construction of the non-perturbative N = 1 superpotential [35][36][37][38].…”

Section: One-loop Corrections and Theta-functionsmentioning

confidence: 99%

Shift-symmetries and gauge coupling functions in orientifolds and F-theory

Corvilain

Grimm

Regalado

2017

J. High Energ. Phys.

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Abstract:We investigate the field dependence of the gauge coupling functions of fourdimensional Type IIB orientifold and F-theory compactifications with space-time filling seven-branes. In particular, we analyze the constraints imposed by holomorphicity and covariance under shift-symmetries of the bulk and brane axions. This requires introducing quantum corrections that necessarily contain Riemann theta functions on the complex torus spanned by the D7-brane Wilson line moduli. Our findings hint towards a new underlying geometric structure for gauge coupling functions in string compactifications. We generalize this discussion to a genuine F-theory compactification on an elliptically fibered Calabi-Yau fourfold. We perform the first general dimensional reduction of eleven-dimensional supergravity and dualization to the F-theory frame. The resulting effective action is compared with the circle reduction of a four-dimensional N = 1 supergravity theory. The F-theory geometry elegantly unifies bulk and brane degrees of freedom and allows us to infer nontrivial results about holomorphicity and shift-symmetries. For instance, we gain new insight into kinetic mixing of bulk and brane gauge fields.

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Fluxed M5-instantons in F-theory

Cited by 36 publications

References 97 publications

F-term stabilization of odd axions in LARGE volume scenario

F-term stabilization of odd axions in LARGE volume scenario

Towards the Standard Model in F-theory

Shift-symmetries and gauge coupling functions in orientifolds and F-theory

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