Hybrid breeding promises to boost yield and stability. The single most important element in implementing hybrid breeding is the recognition of a high-yielding heterotic pattern. We have developed a three-step strategy for identifying heterotic patterns for hybrid breeding comprising the following elements. First, the full hybrid performance matrix is compiled using genomic prediction. Second, a...

We study Little String Theories (LST) with N = (1, 0) supersymmetry arising, in a suitable double scaling limit, from 5-branes in heterotic string theory or in the heterotic-like type II/(−) F L × shift. The limit in question, previously studied in the type II case, is such that the resulting holographically dual pairs, i.e. bulk string theory and LST can be considered to be weakly coupled. In ...

We show that the heterotic supersymmetry (Killing spinor equations) and the anomaly cancellation imply the heterotic equations of motion in dimensions five, six, seven, eight if and only if the connection on the tangent bundle in the α corrections is an instanton. For heterotic compactifications in dimension six this fixes the choice of that connection to be the unique SU(3) instanton on a stab...

We study F-theory duals of six dimensional heterotic vacua in extreme regions of moduli space where the heterotic string is very strongly coupled. We demonstrate how to use orientifold limits of these F-theory duals to regain a perturbative string description. As an example, we reproduce the spectrum of a T /ZZ4 orientifold as an F-theory vacuum with a singular K3 fibration. We relate this vacu...

We use a D-instanton or physical gauge approach to re-derive the heterotic string worldsheet instanton contribution to the superpotential in Calabi-Yau compactification. We derive an analogous formula for worldsheet instanton corrections to the moduli space metric in heterotic string or Type I compactification on a K3 surface. In addition, we give a global analysis of the phase of the worldshee...

We obtain non-trivial approximate solutions to the heterotic G 2 \mathrm {G}_2</mm...

We construct the heterotic dual theory in four dimensions of eleven dimensional supergravity compactified on a particular Joyce manifold, J. In particular J is constructed from resolving fixed point singular-ities of orbifolds of the seven-torus in such a way that one is forced to consider a generalised orbifold compactification on the heterotic side. We conjecture that a heterotic dual exists ...

We derive a map relating the gauge symmetry groups of heterotic strings on $T^4$ to other components moduli space with rank reduction. This generalizes results for $T^2$ and $T^3$ which mirror singularity freezing mechanism K3 surfaces in F M-theory, respectively. The novel feature six dimensions is that explicitly involves topology groups, particular acting only non-simply-connected ones. rela...

In this paper, we present a formalism for computing the Yukawa couplings in heterotic standard models. This is accomplished by calculating the relevant triple products of cohomology groups, leading to terms proportional to QHu, QH̄d, LHν and LH̄e in the low energy superpotential. These interactions are subject to two very restrictive selection rules arising from the geometry of the Calabi-Yau man...