TY - CHAP AU - Cortes, Vicente AU - Louis, Jan TI - Mathematical Aspects of String Compactifications CY - Hamburg PB - Verlag Deutsches Elektronen-Synchrotron M1 - PUBDB-2018-03588 SN - 9783945931219 SP - 57-68 PY - 2018 AB - In this report we summarize the research in mathematics and theoretical physics done in project A6 of the SFB 676. The main research directions include the study of internal spaces of string compactifications, geometry of scalar manifolds and moduli spaces, heterotic/type II string duality, partial breaking of supersymmetry and supersymmetric AdS backgrounds. Typical results are the construction of a wealth of new inhomogeneous complete quaternionic Kähler manifolds based on a combination of ideas from supergravity and perturbative string theory with new mathematical tools and the derivation of low energy effective actions in physically relevant situations, among other examples. LB - PUB:(DE-HGF)7 DO - DOI:10.3204/PUBDB-2018-00782/A6 UR - https://bib-pubdb1.desy.de/record/410406 ER -