Type IIB flux vacua from G-theory II
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 2, 188Article in journal (Refereed) Published
We find analytic solutions of type IIB supergravity on geometries that locally take the form Mink x M-4 x C with M-4 a generalised complex manifold. The solutions involve the metric, the dilaton, NSNS and RR flux potentials (oriented along the M-4) parametrised by functions varying only over C. Under this assumption, the supersymmetry equations are solved using the formalism of pure spinors in terms of a finite number of holomorphic functions. Alternatively, the solutions can be viewed as vacua of maximally supersymmetric supergravity in six dimensions with a set of scalar fields varying holomorphically over C. For a class of solutions characterised by up to five holomorphic functions, we outline how the local solutions can be completed to four-dimensional flux vacua of type IIB theory. A detailed study of this global completion for solutions with two holomorphic functions has been carried out in the companion paper . The fluxes of the global solutions are, as in F-theory, entirely codified in the geometry of an auxiliary K3 fibration over CP1. The results provide a geometric construction of fluxes in F-theory.
Place, publisher, year, edition, pages
2015. no 2, 188
Flux compactifications, Superstring Vacua, String Duality
Other Physics Topics
IdentifiersURN: urn:nbn:se:uu:diva-251523DOI: 10.1007/JHEP02(2015)188ISI: 000350696300003OAI: oai:DiVA.org:uu-251523DiVA: diva2:807170