ICTS

The superconformal index of $1/2-BPS$ states of $N=4 U(N)$ super Yang-Mills theory has a known infinite q-series expression with successive terms suppressed by $q^N$, called the Giant Graviton Expansion. We derive a holographic bulk interpretation of this series by considering the corresponding functional integral in the dual $AdS5 \times S5$ at finite N.  I will discuss how the integral localizes to collections of maximal giants, i.e. D-branes wrapping a maximal 3-sphere inside the 5-sphere. The small fluctuations of the maximal giant is described by a supersymmetric version of the Landau problem. The supersymmetric index of this system and its matrix versions precisely reproduce the successive terms of the GGE. 

Zoom link: https://icts-res-in.zoom.us/j/88092766911?pwd=R3ZrVk9yeW96ZmQ4ZG9KRzVhenRKZz09
Meeting ID: 880 9276 6911
Passcode: 232322