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arXiv · 1511.08214

3D $τ_{RR}$-minimization in AdS$_4$ gauged supergravity

Antonio Amariti·Alessandra Gnecchi
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Abstract

In this paper we propose the identification in AdS4 N = 2 gauged supergravity of the coefficient $τ_{RR}$ of 3D N = 2 SCFTs. We constraint 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 in the special geometry. We identify this mechanism with the supergravity dual of the $τ_{RR}$-minimization. We check this proposal in the ABJM model, comparing with the expectations from localization and the AdS/CFT duality. We comment also on some possible relations with the black hole microstate counting, recently obtained from the application of localization techniques.

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Antonio Amariti, Alessandra Gnecchi. 2015-11-25. 3D $τ_{RR}$-minimization in AdS$_4$ gauged supergravity. https://doi.org/10.1007/jhep07(2016)006

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