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.
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Meeting ID: 880 9276 6911
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