BibTex format
@article{Lin:2025:10.1007/JHEP03(2025)200,
author = {Lin, J and Skrzypek, T and Stelle, KS},
doi = {10.1007/JHEP03(2025)200},
journal = {Journal of High Energy Physics},
title = {Compactification on Calabi-Yau threefolds: consistent truncation to pure supergravity},
url = {http://dx.doi.org/10.1007/JHEP03(2025)200},
volume = {2025},
year = {2025}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - We study compactifications of eleven- and ten-dimensional maximal supergravity on Calabi-Yau threefolds. We explicitly construct truncations to pure supergravity with eight supercharges in five and four dimensions and show that they are consistent, i.e. that every solution of the lower-dimensional equations of motion fully solves the higher-dimensional ones. We furthermore match the supersymmetry transformations and demonstrate the consistency to full non-linear order in fermions. Our construction is independent of the choice of Calabi-Yau threefold and only involves the universal structures such as the Kähler form and the holomorphic three-form, in agreement with implicit constructions in the generalised geometry literature. As an immediate application, we embed four-dimensional extremal black holes in the higher-dimensional supergravities. We furthermore propose Ansätze for consistent truncations on all universal structures, leading to supergravities with additional matter multiples. An extensive list of equations of motion and supersymmetry transformations for various supergravity theories is provided in the appendix.
AU - Lin,J
AU - Skrzypek,T
AU - Stelle,KS
DO - 10.1007/JHEP03(2025)200
PY - 2025///
TI - Compactification on Calabi-Yau threefolds: consistent truncation to pure supergravity
T2 - Journal of High Energy Physics
UR - http://dx.doi.org/10.1007/JHEP03(2025)200
VL - 2025
ER -