This review article provides a pedagogical introduction into various classes of chiral string
compactifications to four dimensions with D-branes and fluxes. The main concern is to …

We analyze the necessary and sufficient conditions for the preservation of supersymmetry
for bosonic geometries of the form R 1, 9− d× M d, in the common Neveu-Schwarz–Neveu …

We investigate compactifications with duality twists and their relation to orbifolds and
compactifications with fluxes. Inequivalent compactifications are classified by conjugacy …

We describe a new class of supersymmetric string compactifications to 4d Minkowski space.
These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau …

We discuss the mathematical properties of six-dimensional non-Kähler manifolds which
occur in the context of N= 1 supersymmetric heterotic and type IIA string compactifications …

We extend the KKLT approach to moduli stabilization by including the dilaton and the
complex structure moduli into the effective supergravity theory. Decoupling of the dilaton is …

We discuss mirror symmetry in generalized Calabi–Yau compactifications of type II string
theories with background NS-fluxes. Starting from type IIB compactified on Calabi–Yau …

We consider the E 8× E 8 heterotic string theory compactified on Calabi-Yau manifolds with
bundles containing abelian factors in their structure group. Generic low energy …

We study new compactifications of the SO (32) heterotic string theory on compact complex
non-Kähler manifolds. These manifolds have many interesting features like fewer moduli …

Compactifications of the heterotic string are a viable route to phenomenologically realistic
vacua and interesting new mathematics. While supergravity aspects of heterotic …