|
Résumé |
The superconformal index of N=4 U(N) super Yang-Mills theory has a q-series
expression with successive terms suppressed by q^N, called the Giant Graviton
Expansion (GGE). I will give some physical and mathematical context to the GGE,
and then discuss the derivation of the GGE in the holographic dual AdS5×S5.
In particular, I will discuss the quantization of the 1/2-BPS giants in the bulk
in the functional integral formalism. I will show how the corresponding integral
localizes to collections of maximal giants, i.e. D-branes wrapping a maximal 3-
sphere inside the 5-sphere. Interestingly, the small fluctuations of the maximal
giants are a described by a supersymmetric version of the Landau problem. I will
show how they precisely reproduce the successive terms of the GGE. |
