The exact MSSM spectrum from string theory

By Volker Braun, Yang-Hui He, B. Ovrut, T. Pantev. 2005

278 citations recorded by the source corpus.

We show the existence of realistic vacua in string theory whose observable sector has exactly the matter content of the MSSM. This is achieved by compactifying the E_8 x E_8 heterotic superstring on a smooth Calabi-Yau threefold with an SU(4) gauge instanton and a Z_3 x Z_3 Wilson line. Specifically, the observable sector is N=1 supersymmetric with gauge group SU(3)_C x SU(2)_L x U(1)_Y x U(1)_{B-L}, three families of quarks and leptons, each family with a right-handed neutrino, and one Higgs-Higgs conjugate pair. Importantly, there are no extra vector-like pairs and no exotic matter in the zero mode spectrum. There are, in addition, 6 geometric moduli and 13 gauge instanton moduli in the observable sector. The holomorphic SU(4) vector bundle of the observable sector is slope-stable.

Subfields: Nuclear and High Energy Physics, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/1c65f2293b6dcbd386e6b07aafb1d667c55c39d0

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Citations in the corpus

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds (2006, background): “Corresponding realistic models from SU(5) and SO(10) GUTs in this context have been provided in [8] and [9,10], respectively.”
Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds (2011, methodology): “Slope-stable bundles with SU(n) structure groups (for n = 3, 4, 5), unrelated to the tangent bundle, have been used in the attempt to build stringy standard models [2–12].”
Exploring positive monad bundles and a new heterotic standard model (2009, background): “In recent years, the focus has moved to a wider class of models based on general holomorphic vector bundles on the internal space which can lead to any of the three GUT groups mentioned above [5–16].”
GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, background): “Given the prominent role that the del Pezzo 9 surface has played in recent heterotic models such as [8,9], it would be interesting to study models based on such Dolgachev surfaces.”
Heterotic line bundle standard models (2012, methodology): “Previous model building attempts [6–18] have mostly focused on vector bundles V with a non-Abelian structure group.”
Proton stability in grand unified theories, in strings and in branes (2006, background): “[333] is not slope-stable which would require changing the hidden sector and will result in different phenomenological properties[333].”