G-structures and domain walls in heterotic theories

Abstract

We consider heterotic string solutions based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold, preserving two supercharges. The constraints on the internal manifolds with SU (3) structure are derived. They are found to be generalized half-flat manifolds with a particular pattern of torsion classes and they include half-flat manifolds and Strominger's complex non-Kahler manifolds as special cases. We also verify that previous heterotic compactifications on half-flat mirror manifolds are based on this class of solutions.

Infinitesimal moduli of G2 holonomy manifolds with instanton bundles

“…However, to the best of our knowledge, the moduli space of the G 2 structure manifolds needed for heterotic BPS domain walls of [18][19][20][21][22][23][24][25][26] remains largely to be explored. 2 In this paper, we will focus on this topic.…”

Spin(7) compactifications and 1/4-BPS vacua in heterotic supergravity

“…The idea is that instead of looking for maximally symmetric perturbative vacua, one looks for perturbative vacua with less symmetry, e.g. domain walls [21][22][23][24][25][26], thus sidestepping the no-go theorem. Moreover, the compactifications thus considered also allow for torsion on the internal space, which behaves in a similar manner to an additional flux component and hence can play a role in stabilizing moduli.…”

“…Therefore, they constitute a generalization of the half-flat compactifications obtained from half-BPS flows [21].…”

“…Note that equations (B.1) are parametrically identical to the Killing spinor equations for the domain wall case described in [21], so we expect the solutions to take the same form but with the y-direction substituted for the ρ-coordinate.…”

“…However, another possibility suggested by the general structure of (3.14) and (3.15) is that there should also exist 1/2-BPS states other than the domain wall solution detailed in [21]. Such solutions will admit a G 2 structure in which the six-dimensional SU(3) structure is fibred over an interval that is not a Euclidean coordinate direction.…”