Cite as: doi:10.26081/K6S05W

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We show that almost all extremal black holes in Einstein-Maxwell-AdS
theory develop diverging tidal forces at the horizon. This singularity
in five (and higher) dimensions implies that the near horizon geometry
of extreme Reissner-Nordstrom-AdS black holes are RG unstable under
small changes of the boundary conditions at infinity. We found an
infinite number of new one-parameter families of static extremal
horizons. Their cross-sections are highly deformed three-spheres with an
$SO(3)$ symmetry group. Numerical simulations show that generic boundary
conditions at infinity lead to horizons belonging to a particular
one-parameter family. Thus, this particular family is dual to new IR
fixed points for the dual gauge theory. These fixed points seem to be
stable under the RG flow, in contrast with the usual spherically
symmetric ones.
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