Heterotic line bundle standard models

Abstract

In a previous publication, arXiv:1106.4804, we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate quotients by a discrete symmetry and introducing Wilson lines. In this paper, we construct the resulting standard models explicitly, compute their spectrum including Higgs multiplets, and analyze some of their basic properties. After removing redundancies we find about 400 downstairs models, each with the precise matter spectrum of the supersymmetric standard model, with one, two or three pairs of Higgs doublets and no exotics of any kind. In addition to the standard model gauge group, up to four Green-Schwarz anomalous U(1) symmetries are present in these models, which constrain the allowed operators in the four-dimensional effective supergravity. The vector bosons associated to these anomalous U(1) symmetries are massive. We explicitly compute the spectrum of allowed operators for each model and present the results, together with the defining data of the models, in a database of standard models accessible here. Based on these results we analyze elementary phenomenological properties. For example, for about 200 models all dimension four and five proton decay violating operators are forbidden by the additional U(1) symmetries.

Matter in transition

“…Matching these parameters gives a clear picture of the duality between these classes of models and illuminates many features such as the appearance of SCFTs at the transition points and the matching of constraints between the two pictures. We view this work as important first step into extending heterotic/F-theory duality to include more complex and phenomenologically relevant Calabi-Yau geometries and vector bundles (including, for example the geometries in [85][86][87][88] which involve bundles with reducible structure groups and Green-Schwarz massive U(1) symmetries).…”

The moduli space of heterotic line bundle models: a case study for the tetra-quadric

“…However, the fate of the three vectorlike 5 − 5 multiplets and, hence, the fate of the Higgs doublets is harder to decide. We begin with the second wedge power sequence 8) This means that h • ( V ⊗ VĪ ) = (0, 18, 6, 0) and, in terms of spaces, that…”

“…Recently, this situation has changed. In a series of publications [7][8][9][10], a promising class of E 8 × E 8 heterotic compactifications, based on line bundle sums, has been proposed and analysed. Line bundle sums have been previously considered as viable heterotic gauge backgrounds in [11][12][13][14].…”

“…However, only recently extensive scans over heterotic Calabi-Yau compactifications with line bundle sums could be envisaged [7][8][9][10]. The heterotic line bundle models considered in these publications are based on rank four or five Abelian vector bundles over smooth Calabi-Yau three-folds with non-trivial fundamental group.…”

Patterns in Calabi–Yau Distributions

“…e.g., [23][24][25][26]). One can see a somewhat pseudo-Voigt profile in these as well, even though there is no underlying polytope and the counting problem is dictated by certain Diophantine system.…”