Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. More information will come soon.
Matrix Model for Structure Constants of Huge Protected Operators in N=4 SYM Theory
byVladimir Kazakov
Abstract:Huge operators in \( \mathcal{N} = 4\) 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 \(AdS_5 \times S^5\) . We unveil simple matrix model representations for these correlators which we can sometimes solve analytically. For general huge operators, we 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.