The spectra of heterotic standard model vacua

Abstract

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 double struck Z sign2, lead to low energy theories with standard model gauge group (SU(3)C × SU(2)L × U(1)Y)/double struck Z sign6 and three families of quarks and leptons. A methodology for determining the sheaf cohomology of these bundles and the representation of double struck Z sign2 on each cohomology group is given. Combining these results with the action of a double struck Z sign2 Wilson line, we compute, tabulate and discuss the massless spectrum. © SISSA 2005.