Branes, U-folds and hyperelliptic fibrations

Abstract

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.

49 pages, including 22 pages of Appendix, 2 figures. Minor changes

References in corpus (7)

• Non-perturbative gauge/gravity correspondence in N=2 theories
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• Generalized matrix models and AGT correspondence at all genera
• Geometries, Non-Geometries, and Fluxes
• Semi-Flatland
• Siegel Modular Forms
• M-theory/type IIA duality and K3 in the Gibbons-Hawking approximation

Cited by in corpus (21)

• Exotic Branes in String Theory
• Non-geometric backgrounds in string theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• Exceptional $\mathcal{N}=3$ theories
• Type IIB flux vacua from G-theory II
• Open-Closed Correspondence of K-theory and Cobordism
• Type IIB flux vacua from G-theory I
• Heterotic T-fects, 6D SCFTs, and F-Theory
• Resolving spacetime singularities in flux compactifications & KKLT
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• The monodromy of T-folds and T-fects
• Non-perturbative studies of N=2 conformal quiver gauge theories
• U-folds as K3 fibrations
• D-instanton probe and the enhançon mechanism from a quiver gauge theory
• M-theory on non-Kähler manifolds
• A note on T-folds and T3 fibrations
• Meromorphic Flux Compactification
• A class of non-geometric M-theory compactification backgrounds
• Generalised Geometry and Flux Vacua
• Holographic backgrounds from D-brane probes