Twenty-seven Lines on a Cubic Surface and Heterotic String Spacetimes

Lines on Del Pezzo surfaces and transfinite heterotic string spacetimes

It is pointed out that the hierarchy of fractal dimensions characterizing transfinite heterotic string spacetimes bears a striking resemblance to the sequence of the number of lines lying on Del Pezzo surfaces. Employing the notion and properties of the so-called Cantorian fractal space, E, El Naschie has recently demonstrated [1–5] that the transfinite heterotic spacetimes are endowed with the...

A Symmetric Representation of the Twenty- Seven Lines on a Cubic Surface by Lines in a Finite Geometry*

Non - critical Heterotic superstrings in Various Dimensions

We construct heterotic string theories on spacetimes of the form Rd−1,1×N = 2 linear dilaton, where d = 6, 4, 2, 0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories. These have gauge groups which are lower rank subgroups of E8×E8 and SO(32). On turning on a (2, 2) deformation which makes the two dimensional part a smooth SL...

String-Membrane Duality in Seven Dimensions

The conjectured equivalence of the heterotic string to a K3 compactified type IIA superstring is combined with the conjectured equivalence of the latter to a compactified 11-dimensional supermembrane to derive a string membrane duality in seven dimensions; the membrane is a soliton of the string theory and vice versa. A prediction of this duality is that the heterotic string is a K3 compactific...

Heterotic Yukawa couplings and continuous Wilson lines

Realistic heterotic string models require the presence of the Wilson lines. We study the effect of continuous Wilson lines on the heterotic Yukawa couplings and find that the presence of continuous Wilson lines affects the magnitude of the twisted Yukawa couplings resulting in their stronger hierarchy.