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Seed Seminar

Theoretical Physics

Matrix Model for Structure Constants of Huge Protected Operators in N=4 SYM Theory

by

Vladimir Kazakov

on  June-07-2024, 10:00 ! Livein  IHESfor  60min
Abstract:

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×S5 . 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.

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