Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models

By Ralph Blumenhagen, M. Cvetič, T. Weigand. 2006

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Abstract We systematically investigate instanton corrections from wrapped Euclidean D-branes to the matter field superpotential of various classes of N = 1 supersymmetric D-brane models in four dimensions. Both gauge invariance and the counting of fermionic zero modes provide strong constraints on the allowed non-perturbative superpotential couplings. We outline how the complete instanton computation boils down to the computation of open string disc diagrams for boundary changing operators multiplied by a one-loop vacuum diagram. For concreteness we focus on E2-instanton effects in type IIA vacua with intersecting D6-branes, however the same structure emerges for type IIB and heterotic vacua. The instantons wrapping rigid cycles can potentially destabilise the vacuum or generate perturbatively absent matter couplings such as proton decay operators, μ-parameter or right-handed neutrino Majorana mass terms. The latter allow the realisation of the seesaw mechanism for MSSM like intersecting D-brane models.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/13d83505f6ab40002c3e5fff728e9a7ef5860ee2

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Citations in the corpus

Model building with $F$-theory (2008, background): “instanton with the background branes. The collective coordinates, including the localized ones, can be described using the concept of ‘Ganor strings’ [57]. This calculus has recently been clariﬁed in [58, 59, 60]. For ﬁnite string coupling, the presence of branch-cuts of the axio-dilaton seems to po”
GUTs in Type IIB Orientifold Compactifications (2008, background): “On the other hand, investigations of non-perturbative corrections for Type II orientifold models [25, 26, 27] have revealed that the 10 10 5H Yukawa coupling can be generated by Euclidean D-brane instantons wrapping suitable cycles Γ in the internal manifold with the right zero mode structure [28].”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “The number of E3 zero-modes in the fundamental representation of the hidden U(4) gauge group is [46, 54–56]:”
Global F-theory GUTs (2009, background): “In fact the generation of Majorana masses for ν R by Euclidean D3-branes in Type IIB [68, 69] has an analogue also in F-theory.”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, result): “Problems one faces include things like the description of RR fluxes in string theory, showing that the necessary nonperturbative effects actually can and do appear in a way consistent with other contributions to the potential (for progress in this direction, see [16, 17, 18, 19, 20, 21, 22, 23, 24, ”
GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, methodology): “Similar effects may also generate exponentially suppressed μ terms [54].”
d-Brane Instantons in Type II Orientifolds (2009, methodology): “Finally, there will generically be zero modes which arise at the intersection of the instanton E with the D-branes Da [20, 21, 22].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “A possible solution to this problem was given in [160–163] where it was shown that the coupling could be generated non-perturbatively with an O(1) E3-instanton.”
Stringy instantons and quiver gauge theories (2006, result): “While we were brooding over the selection rules implied by the R-anomaly, we also learned of the work [ 21 , 22], which has some overlap with ours.”
The Weak Gravity Conjecture in three dimensions (2016, background): “In theories with Chern-Simons terms and monopoles, gauge invariance requires [44–47] that any such monopole spits out N units of electric charge.”
Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra (2007, background): “Note also that the instanton amplitude contains a prefactor (which in general depends on closed and open string moduli) arising from the Gaussian path integral over (massive) fluctuations of the instanton (hence described by an open string annulus partition function, see [22, 23] for related work), ”
Sterile neutrino Dark Matter (2018, background): “cles in the loop, possibly accompanied by a seesaw-like suppression due to the heavy masses of the particles in the loop. More exotic explanations e.g. involve extra dimensions [79,80], string eects [81,82] or the gravitational anomaly [83]. c) Protecting symmetry: The physical neutrino mass squares”