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The Spectra of Heterotic Standard Model Vacua
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A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with fundamental group Z_2, lead to low energy theories with standard model gauge group (SU(3)_C x SU(2)_L x U(1)_Y)/Z_6 and three families of quarks and leptons. A methodology for determining the sheaf cohomology of these bundles and the representation of Z_2 on each cohomology group is given. Combining these results with the action of a Z_2 Wilson line, we compute, tabulate and discuss the massless spectrum.
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Heterotic-$\mathbf{F}$-theory Duality with Wilson Line Symmetry-breaking
A new F-theory construction with two elliptic sections gives an MSSM spectrum with no vector-like exotics via Wilson line breaking.
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