Abstract
We use holography and four-dimensional \( \mathcal{N} \) = 4 gauged supergravity to collect evidence for a large class of interconnected three-dimensional \( \mathcal{N} \) = 2 conformal field theories. On the gravity side, we construct a one-parameter family of ISO(3) × ISO(3) gaugings of half-maximal supergravity containing a rich structure of \( \mathcal{N} \) = 2 AdS4 solutions at fixed radius. By looking at excitations around these AdS4 solutions, the spectrum of low lying operators in the dual \( \mathcal{N} \) = 2 CFT3’s is computed and further arranged into 𝔬𝔰(2|4) supermultiplets. Upon suitable removal of gauge redundancies, we identify the Zamolodchikov metric on the conformal manifold dual to the AdS4 moduli space, and recover previous results in the S-fold literature. Two special points of \( \mathcal{N} \) = 4 supersymmetry enhancement occur. While one describes an S-fold CFT3 dual to a non-geometric type IIB twisted compactification, the string-theoretic realisation of the other, if any, is still lacking.
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Acknowledgments
We are grateful to Antón Faedo, Emanuel Malek, Carlos Núñez and Daniel Waldram for interesting conversations. The work of AG and MCh-B is partially supported by the Ministry of Science and Universities through the Spanish grant MCIU-22-PID2021-123021NB-I00 and by FICYT through the Asturian grant SV-PA-21-AYUD/2021/52177. CS is supported by IISN-Belgium (convention 4.4503.15) and is a Research Fellow of the F.R.S.-FNRS (Belgium).
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Chamorro-Burgos, M., Guarino, A. & Sterckx, C. \( \mathcal{N} \) = 2 CFT3’s from \( \mathcal{N} \) = 4 gauged supergravity. J. High Energ. Phys. 2023, 68 (2023). https://doi.org/10.1007/JHEP06(2023)068
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DOI: https://doi.org/10.1007/JHEP06(2023)068