2009/09/30 by Thomas W. Grimm, Tae-Won Ha, Albrecht Klemm +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Heterotic string theory #Instanton #Limit (mathematics) #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Space (punctuation) #Superpotential #Supersymmetry #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep04(2010)015
published as JHEP 1004:015,2010 · 75 pages, 1 figure; typos corrected, references added
arxiv created 2010/02/09 · openalex publication_date 2010/04/01 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In four-dimensional F-theory compactifications with N=1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau fourfold. We explicitly compute the flux superpotential in F-theory depending on all complex structure moduli, including the 7-brane deformations and the field corresponding to the dilaton-axion. Since fluxes on the 7-branes induce 5-brane charge, a local limit allows to effectively match the F-theory results to a D5-brane in a non-compact Calabi-Yau threefold with threeform fluxes. We analyze the classical and instanton contributions to the F-theory superpotential using mirror symmetry for Calabi-Yau fourfolds. The F-theory compactifications under consideration also admit heterotic dual descriptions and we discuss the identification of the moduli in this non-perturbative duality.