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Résumé |
The superconformal index of 1/2-BPS states of N=4 U(N) super Yang-Mills theory has a known infinite q-series expression, called the Giant Graviton Expansion, whose successive terms are suppressed by q^N thus suggesting an interpretation in terms of D-branes in the dual AdS5×S5.
We derive a holographic bulk interpretation of this series by considering the corresponding functional integral in the dual AdS5×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 are 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. |
