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

Understand

In this paper we propose the identification in AdS4 N = 2 gauged supergravity of the coefficient $\tau_{RR}$ 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 $\tau_{RR}$-minimization.