Announcing the annual workshop!
See you on 25/04/2025 at the Institut Pascal in Orsay for a day of talks resuming the three topics of this year.
Infos and registration: here
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.