We work out the relation between automorphic forms on SO(2 + s, 2, Z) and gauge one–loop corrections of heterotic K3×T 2 string compactifications for the cases s = 0, 1. We find that one–loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one– loop gauge thresholds of N=1 (0, 2) hetero...

Some constructions in string theory are linked to noncommutative geometry. Non-geometric strings among such constructions. related a torus. In this article, we discuss some aspects of non-geometric heterotic strings. We review the construction eight-dimensional (8D) strings, proposed by Malmendier and Morrison, which do not allow for geometric interpretation. construction, $$\mathfrak {e}_8\opl...

the diallel cross design is frequently utilized to obtain information on genetic effects, estimates of general and specific combining ability (gca and sca) and to identify promising heterotic combinations as well as heterotic patterns. in the present study, heterotic crosses were identified for specific alkaloids in opium poppy (papaver somniferum l.) following yan’s gge biplot model by use of ...