Heterotic string compactifications on half-flat manifolds II

Abstract

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E 6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure. *

DWSB in heterotic flux compactifications

“…However, the problem of identifying the four-dimensional theory governing quite general heterotic flux compactifications has been investigated in several papers (see e.g. [46,47] and references therein) which, under suitable simplifying assumptions, arrived at precise expressions for the effective four-dimensional theory. One of these assumption is that all the scalar quantities in the internal spaces are assumed to be constant.…”

“…Note also that W 1 constant implies that θ = θ 0 is constant, and so without loss of generality we can set it to zero. This implies that our 'smeared' compactification manifoldM satisfies Im W 1 = Im W 2 = W 4 = W 5 = 0, or in other words that in such smeared limit 1 2 DWSB heterotic vacua reduce to compactifications in half-flat manifolds, like those studied in [46,[48][49][50][51].…”

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.…”

G-structures and domain walls in heterotic theories

“…This happens for heterotic Calabi-Yau compactifications with flux but also for more general heterotic compactifications on half-flat manifolds as studied in Refs. [7][8][9][10]. A stabilization of all moduli presumably requires some non-perturbative effects which are not normally included when studying 10-dimensional solutions of string theory.…”

“…This question will be answered using the G-structure formalism [11,12] (for a review see [13]) applied to the heterotic case [14], for the groups G 2 and SU (3), and this leads to a significant generalization of the class of manifolds found by Strominger. Secondly, we would like to show the consistency of certain heterotic compactifications on half-flat mirror manifolds [7][8][9] which has been carried out in the absence of a full 10-dimensional solution. This will be done by verifying that such half-flat mirror manifolds are allowed internal manifolds within our generalized setting and that the domain wall solutions in the associated four-dimensional N = 1 supergravity theories do indeed lift up to the correct 10-dimensional solutions.…”