D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model

By G. Aldazabal, Luis E Ibáñez, F. Quevedo, A. Uranga. 2000

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We propose a bottom-up approach to the building of particle physics models from string theory. Our building blocks are Type II D-branes which we combine appropriately to reproduce desirable features of a particle theory model: 1) Chirality ; 2) Standard Model group ; 3) N =1 orN = 0 supersymmetry ; 4) Three quark-lepton generations. We start such a program by studying congurations of D = 10, Type IIB D3-branes located at singularities. We study in detail the case of ZZN N =1 ; 0 orbifold singularities leading to the SM group or some left-right symmetric extension. In general, tadpole cancellation conditions require the presence of additional branes, e.g. D7-branes. For the N =1s upersymmetric case the unique twist leading to three quark-lepton generations is ZZ3, predicting sin 2 W =3 =14 = 0:21. The models obtained are the simplest semirealistic string models ever built. In the non-supersymmetric case there is a three-generation model for each ZZN, N> 4, but the Weinberg angle is in general too small. One can obtain a large class of D =4 compact models by considering the above structure embedded into a Calabi Yau compactication. We explicitly construct examples of such compact models using ZZ3 toroidal orbifolds and orientifolds, and discuss their properties. In these examples, global cancellation of RR charge may be achieved by adding anti-branes stuck at the xed points, leading to models with hidden sector gravity-induced supersymmetry breaking. More general frameworks, like F-theory compactications, allow completely N = 1 supersymmetric embeddings of our local structures, as we show in an explicit example.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/407133435870f90c4e2ad1057656dc2a55045d95

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Citations in the corpus

MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “odels. Thus they have to arise as bifundamental 3-3 states. The hypercharge assignments for these are given by that of the anomaly free abelian charge (3.5). Keeping the above considerations in mind, [5] explored the possibility of constructing realistic models in this setting. It was not possible t”
D-brane Deconstructions in IIB Orientifolds (2008, background): “Rather general geometrical D-brane setups have been studied systematically in “bottom up”, local, noncompact Calabi-Yau varieties decoupled from gravity (for example in [17, 18, 26, 27, 28, 29, 30, 31, 32]).”
Intersecting Brane Models of Particle Physics and the Higgs Mechanism (2002, unknown): “Explicit models with branes at singularities have been built [2, 3]”
Exact standard model structures from intersecting D5-branes (2002, background): “In this talk, we will focused on the four stack GUT constructions of 4 as well the the five and six stack SM constructions of 6,7. aIn the absence of a dynamical mechanism that can select a particular string vacuum. bIn the context of intersecting branes.”
GUTs in Type IIB Orientifold Compactifications (2008, methodology): “This is precisely the regime, where for the local building the techniques of quiver gauge theories on dPr singularities are relevant [74, 75, 29, 30, 76].”
Standard Model at Intersecting D5-branes: Lowering the String Scale (2002, background): “(2.2) Such orientifold singularity will induce, as usual, a non-vanishing Klein-bottle amplitude, signaling the presence of an O5-plane in our configuration.”
Inflation in realistic D-brane models (2004, background): “First, the various tadpole conditions imply the existence of chiral fields and gauge interactions on the branes localized at the fixed-points, and these can contain gauge groups and matter fields which contain the Standard Model spectrum [34].”
Orientifolds, hypercharge embeddings and the Standard Model (2006, background): “Oriented configurations (although more complicated than the one shown above) were considered earlier in [26][5] in the context of type-II theories.”
D‐branes in Standard Model building, gravity and cosmology (2003, background): “4.1 Anomalies and symmetries in four dimensions 21 4.2 Anomalies in six dimensions 23 4.3 String calculation of anomalous U(1) masses 26 4.4 An example: anomalous U(1) masses in the Z ′6 orientifold 28 4.5 Physical axions 29”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “The bottom-up approach to string model building [2] is an intermediate step between conventional and string model building.”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “In spite of the difficulty of the task, the bottom-up approach to string model building [1] allows to address various requirements once at a time.”
Breaking GUT groups in $F$-theory (2008, background): “However the experimental fact of the hierarchy between the TeV scale and the Planck scale, as well as practical considerations, have led to the idea of local model building [6, 7, 8].”