Symmetries of Cosmological Cauchy Horizons with Non-Closed Orbits

Jared Speck
June 13, 2019
I will describe my recent works, some joint with M.\,Disconzi and J.\,Luk, on the compressible Euler equations and their relativistic analog. The works concern solutions with non-vanishing vorticity and entropy, under any equation of state.
The starting point is our new formulations of the equations exhibiting miraculous geo-analytic structures, including

Geometric Extremization for Supersymmetric $AdS_3$ and $AdS_2$ Solutions

Jerome Gauntlett
Imperial College London
June 5, 2019

We consider supersymmetric $AdS_3\times Y_7$ solutions of type IIB supergravity dual to N=(0,2) SCFTs in d=2, as well as  $AdS_2\times Y_9$ solutions of D=11 supergravity dual to N=2 supersymmetric quantum mechanics, some of which arise as the near horizon limit of supersymmetric, charged  black hole solutions in $AdS_4$. The geometry underlying these solutions was first identified in 2005-2007. Around that time infinite classes of explicit supergravity solutions were also found but, surprisingly, there was little progress in identifying the dual SCFTs.