2012/07/31 by Luca Martucci, Jose F. Morales, Josè Francisco Morales +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Dilaton #Generalization #Genus #Geometry #Holomorphic function #Instanton #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Riemann surface #S-duality #String (physics) #String duality #String theory #Torus #hep-th
paper · pdf · doi:10.1007/jhep01(2013)145
49 pages, including 22 pages of Appendix, 2 figures. Minor changes
arxiv created 2012/10/18 · openalex publication_date 2013/01/01 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct a class of supersymmetric vacua of type IIB string theory describing systems of three- and seven-branes non-perturbatively completed by brane instantons. The vacua are specified by a set of holomorphic functions defined over a complex plane up to non-trivial U-duality monodromies around the brane locations. In the simplest setting, the solutions can be seen as a generalization of F-theory elliptic fibrations, where the torus fiber is replaced by a genus two Riemann surface with periods encoding the information on the axio-dilaton, the warp factor and the NS-NS and R-R fluxes.