Abstract
In this paper we propose the identification in AdS4 \( \mathcal{N} \) = 2 gauged supergravity of the coefficient τRR of 3D \( \mathcal{N} \) = 2 SCFTs. We constrain the structure of this function in supergravity by combining the results from unitarity, holography and localization. We show that our conjectured function is minimized by the exact R-charge, corresponding to a gravitational attractor for the scalars of special geometry. We identify this mechanism with the supergravity dual of τ RR -minimization. We check this proposal in ABJM model, comparing with expectations from localization and AdS/CFT duality. We comment also on possible relations with black hole microstates counting, recently obtained from application of localization techniques.
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Amariti, A., Gnecchi, A. 3D τ RR -minimization in AdS4 gauged supergravity. J. High Energ. Phys. 2016, 6 (2016). https://doi.org/10.1007/JHEP07(2016)006
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DOI: https://doi.org/10.1007/JHEP07(2016)006