ion/Representation Theory for heterotic physical computing. Phil. Trans. R. Soc. A 373: 20140224. http://dx.doi.org/10.1098/rsta.2014.0224 Accepted: 5 May 2015 One contribution of 13 to a Theo Murphy meeting issue ‘Heterotic computing: exploiting hybrid computational devices’.

Since T-duality has been proved only perturbatively and most of the heterotic states map into solitonic, non-perturbative, type II states, the 6-dimensional string-string duality between the heterotic string and the type II string is not sufficient to prove the S-duality of the former, in terms of the known T-duality of the latter. We nevertheless show in detail that the perturbative T-duality,...

We continue our study of heterotic/type-I duality in D < 10 dimensions. We consider the heterotic and type-I theories compactified on tori to lower dimensions. We calculate the special (" BPS-saturated ") F 4 and R 4 terms in the effective one-loop heterotic action. These terms are expected to be non-perturbatively exact for D > 4. The heterotic result is compared with the associated type-I res...

New heterotic modular invariants are found using the level-rank duality of affine Kac-Moody algebras. They provide strong evidence for the consistency of an infinite list of heterotic Wess-Zumino-Witten (WZW) conformal field theories. We call the basic construction the dual-flip, since it flips chirality (exchanges left and right movers) and takes the level-rank dual. We compare the dual-flip t...

We show that all three conditions for the cosmological relevance of heterotic cosmic strings, the right tension, stability and a production mechanism at the end of inflation, can be met in the strongly coupled M-theory regime. Whereas cosmic strings generated from weakly coupled heterotic strings have the well known problems posed by Witten in 1985, we show that strings arising from M5-branes w...

We discuss the mathematical properties of six–dimensional non–Kähler manifolds which occur in the context of N = 1 supersymmetric heterotic and type IIA string compactifications with non–vanishing background H–field. The intrinsic torsion of the associated SU(3) structures falls into five different classes. For heterotic compactifications we present an explicit dictionary between the supersymme...

The previously proposed generalized action principle approach to supersymmetric extended objects is considered in some details for the case of heterotic string in D = 3, 4, 6 and 10 space–time dimensions. The proof of the ’off–shell’ superdiffeomorphism invariance of the generalized action is presented. The doubly supersymmetric geometric approach to heterotic string is constructed on the basis...

Proper understanding of the mode gene action in open-pollinated varieties (OPVs) maize parents helps breeder choice appropriate breeding method to improve its genetic value. The objectives present study were determine controlling grain yield and other agronomic traits late maturing elite OPVs classify into heterotic groups. Ninety-one hybrids generated from 14 OPV using diallel mating design ev...

We compare the N = 1 F-theory compactification of Donagi, Grassi and Witten with modular superpotential-and some closely related models-to dual heterotic models. We read of the F-theory spectrum from the cohomol-ogy of the fourfold and discuss on the heterotic side the gauge bundle moduli sector (including the spectral surface) and the necessary fivebranes. Then we consider the N = 1 superpoten...

We test the conjectured Type I-Heterotic Duality in four dimensions by analyzing a given class of higher derivative F-terms of the form FgW 2g, with W the N = 2 gravitational superfield. We study a particular dual pair of theories, the O(2, 2) heterotic model and a type I model based on the K3 Z2 orbifold theory constructed by Gimon and Polchinski, further compactified on a torus. The Fg coupli...