Abstract
We use E8(8) Exceptional Field Theory to construct the consistent truncation of IIB supergravity on S3 × S3 × S1 to maximal 3-dimensional \( \mathcal{N} \) = 16 gauged supergravity containing the \( \mathcal{N} \) = (4, 4) AdS3 vacuum. We explain how to achieve this by adding a 7-form flux to the S1 reduction of the dyonic E7(7) truncation on S3 × S3 previously constructed in the literature. Our truncation Ansatz includes, in addition to the \( \mathcal{N} \) = (4, 4) vacuum, a host of moduli breaking some or all of the supersymmetries. We explicitly construct the uplift of a subset of these to construct new supersymmetric and non-supersymmetric AdS3 vacua of IIB string theory, which include a range of perturbatively stable non-supersymmetric 10-d vacua. Moreover, we show how the supersymmetric direction of the moduli space of AdS3 vacua of six-dimensional gauged supergravity studied in [1] is compactified upon lifting to 10 dimensions, and find evidence of T-duality playing a role in global aspects of the moduli space. Along the way, we also derive the form of 3-dimensional \( \mathcal{N} \) = 16 gauged supergravity in terms of the embedding tensor and rule out a 10-/11-dimensional origin of some 3-dimensional gauged supergravities.
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Acknowledgments
We are grateful to Nikolay Bobev, Adolfo Guarino, Gabriel Larios, Yolanda Lozano, Niall Macpherson, Michela Petrini, Colin Sterckx and Dan Waldram for useful discussions and correspondence. We thank the Mainz Institute for Theoretical Physics (MITP) of the DFG Cluster of Excellence PRISMA+ (Project ID 39083149) for hospitality during the workshop on “Higher Structures, Gravity and Fields”, where part of ths work was completed. CE is supported by the FWO-Vlaanderen through the project G006119N and by the Vrije Universiteit Brussel through the Strategic Research Program “High-Energy Physics”. MG and EM are supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the Emmy Noether program “Exploring the landscape of string theory flux vacua using exceptional field theory” (project number 426510644).
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Eloy, C., Galli, M. & Malek, E. Adding fluxes to consistent truncations: IIB supergravity on AdS3 × S3 × S3 × S1. J. High Energ. Phys. 2023, 49 (2023). https://doi.org/10.1007/JHEP11(2023)049
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DOI: https://doi.org/10.1007/JHEP11(2023)049