2017/02/27 by Thomas W. Grimm, Kilian Mayer, Matthias Weissenbacher · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Focus (optics) #Noncommutative and Quantum Gravity Theories #Space (punctuation) #String (physics) #String theory #Supergravity #Type (biology) #hep-th
paper · pdf · doi:10.1007/jhep02(2018)127
48 pages
arxiv created 2017/02/27 · openalex created_date 2017/03/16 · openalex publication_date 2018/02/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
The four- and five-dimensional effective actions of Calabi-Yau threefold compactifications are derived with a focus on terms involving up to four space-time derivatives. The starting points for these reductions are the ten- and eleven-dimensional supergravity actions supplemented with the known eight-derivative corrections that have been inferred from Type II string amplitudes. The corrected background solutions are determined and the fluctuations of the Kähler structure of the compact space and the form-field back-ground are discussed. It is concluded that the two-derivative effective actions for these fluctuations only takes the expected supergravity form if certain additional ten- and eleven-dimensional higher-derivative terms for the form-fields are included. The main results on the four-derivative terms include a detailed treatment of higher-derivative gravity coupled to Kähler structure deformations. This is supplemented by a derivation of the vector sector in reductions to five dimensions. While the general result is only given as an expansion in the fluctuations, a complete treatment of the one-Kähler modulus case is presented for both Type II theories and M-theory.