Non-perturbative heterotic duals of M-theory on G2 orbifolds

By fibering the duality between the E-8 x E-8 heterotic string on T-3 and M-theory on K3, we study heterotic duals of M-theory compactified on G(2) orbifolds of the form T-7/Z(2)(3). While the heterotic compactification space is straightforward, the description of the gauge bundle is subtle, involving the physics of point-like instantons on orbifold singularities. By comparing the gauge groups of the dual theories, we deduce behavior of a half-G(2) limit, which is the M-theory analog of the stable degeneration limit of F-theory. The heterotic backgrounds exhibit point-like instantons that are localized on pairs of orbifold loci, similar to the gauge-locking phenomenon seen in Horava-Witten compactifications. In this way, the geometry of the G(2) orbifold is translated to bundle data in the heterotic background. While the instanton configuration looks surprising from the perspective of the E-8 x E-8 heterotic string, it may be understood as T-dual Spin(32)/ Z(2) instantons along with winding shifts originating in a dual Type I compactification.

Automated summary

The article discusses the duality between the E-8 x E-8 heterotic string and M-theory on K3, investigating the heterotic duals of M-theory compactified on G(2) orbifolds. By analyzing the gauge groups of the dual theories, the behavior of a half-G(2) limit is deduced, revealing point-like instantons localized on pairs of orbifold loci in the heterotic backgrounds.