Redundancies in Explicitly Constructed Ten-Dimensional Heterotic String Models

Abstract

Using Baylor University's C++ software for construction of weakly coupled free fermionic heterotic string models, called the FF Framework, we explicitly construct the level 1 Kač-Moody ten dimensional heterotic string models with the aim of understanding the redundancies endemic to this construction method. We show that for models in any even number of large space-time dimensions with a massless left mover and an odd ordered right mover, the maximal number of space-time supersymmetries are present. We show that in order to produce all of the models for a given order, different basis vectors must be built; one cannot vary only the GSO coefficients. We also show that all combinations of two order-2 basis vectors do not produce the same models as all possible single order-4 basis vectors, implying the product of the orders used in a search does not necessarily determine the models built. We also show that to build all of the D=10 level-1 models the inputs must be: sets of single order-6 basis vectors, pairs of basis vectors with orders 3 and 2, or sets of three order-2 basis vectors.

Gauge Models in D Dimensions

“…In conformation with [52], we find two N max and six N = 0 b models in D = 10 with one gauge group, SO 32 , occurring with both possible SUSYs. The corresponding results for 0 to 6 compactifications is presented in Table I.…”

Initial systematic investigations of the landscape of low layer NAHE extensions

“…The coefficients generating the sectors from these basis vectors still range from 0 to 5, however. This has interesting effects on the fermion spectrum, which have been noted in [63]. Statistics will be presented for models of this type both with and without S.…”