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arXiv · 1207.6120

Branes, U-folds and hyperelliptic fibrations

Luca Martucci·Jose F. Morales·Daniel Ricci Pacifici
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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.

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Luca Martucci, Jose F. Morales, Daniel Ricci Pacifici. 2012-07-25. Branes, U-folds and hyperelliptic fibrations. https://doi.org/10.1007/jhep01(2013)145

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