Calabi-Yau compactifications of non-supersymmetric heterotic string theory

Abstract

Phenomenological explorations of heterotic strings have conventionally focused primarily on the E 8 ×E 8 theory. We consider smooth compactifications of all three ten-dimensional heterotic theories to exhibit the many similarities between the non-supersymmetric SO(16)×SO(16) theory and the related supersymmetric E 8 ×E 8 and SO(32) theories. In particular, we exploit these similarities to determine the bosonic and fermionic spectra of Calabi-Yau compactifications with line bundles of the nonsupersymmetric string. We use elements of four-dimensional supersymmetric effective field theory to characterize the non-supersymmetric action at leading order and determine the Green-Schwarz induced axion couplings. Using these methods we construct a non-supersymmetric Standard Model(SM)-like theory. In addition, we show that it is possible to obtain SM-like models from the standard embedding using at least an order four Wilson line. Finally, we make a proposal of the states that live on five-branes in the SO(16)×SO(16) theory and find under certain assumptions the surprising result that anomaly factorization only admits at most a single brane solution.

GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings

“…[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]). This growing literature indicates an increasing interest in this subject, presumably motivated not only by the apparent experimental absence of supersymmetry at the Large Hadron Collider but also by the intrinsically different theoretical behavior of strings within this hitherto largely unexplored region of the string landscape.…”

(MS)SM‐like models on smooth Calabi‐Yau manifolds from all three heterotic string theories

“…In an accompanying paper [10] we have reviewed some useful formulae to obtain the relevant topological data, following the techniques described in [52]. A summary of the topological data, intersection numbers and second/third Chern classes of the CICYs studied in this paper can be found in Table 1.…”

“…The flux quantization conditions (10) imply that the entries of the Gram matrix are restricted such that…”

“…The model building potential of the non-supersymmetric SO(16)×SO(16) theory compactified on smooth Calabi-Yau geometries has not really been investigated so far; in [8,9] this option was at least mentioned. In particular, as explained in [9,10], one can avoid tachyons to leading order in α and g s when working in the large volume regime on smooth Calabi-Yaus.…”

“…The techniques that are used in this paper have been laid out in detail in the paper [10]. To make the presentation self-contained we review some of that material in this work.…”