  In the bulk dual of holography, huge operators correspond to sources so heavy
that they fully backreact on the space-time geometry. Here we study the
correlation function of three such huge operators when they are given by $1/2$
BPS operators in $\mathcal{N}=4$ SYM theory, dual to IIB Strings in $AdS_5
\times S^5$. We unveil simple matrix model representations for these
correlators which we can sometimes solve analytically. For general huge
operators, we translate these matrix model expressions into a $1+1$ dimensional
hydrodynamical fluid problem. This fluid is integrable thus unveiling a novel
integrable sector of the $AdS/CFT$ duality in a full fledged gravitational
regime, very far from the usual free string planar regime where integrability
reigns supreme. We explain how an adiabatic deformation method can be developed
to yield the solution to an integrable discrete formulation of these fluids --
the rational Calogero-Moser Model -- so we can access the general three point
correlation functions of generic huge $1/2$-BPS operators. Everything will be
done on the gauge theory side of the duality. It would be fascinating to find
the holographic dual of these matrix models and fluids.
