Vladimir Kazakov - Matrix Model for Structure Constants of "Huge" Protected Operators in N=4 (...) 

Huge operators in N = 4 SYM theory correspond to sources so heavy that they fully backreact on the space-time geometry. Here we study the protected correlation function of three such huge operators when they are given by 1/2 BPS operators , dual to IIB Strings in AdS5 × S 5 . We unveil simple matrix model representations for these correlators which we can sometimes solve analytically. For general huge operators, we transform this matrix model into a 1 + 1 dimensional integrable hydrodynamics problem. A discrete counterpart of this system -- the rational Calogero-Moser Model - helps to numerically solve the problem for general huge operators.
Vladimir Kazakov (Laboratoire de Physique de l'École Normale Supérieure, Paris)
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