The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Landau problem.
M Theory on AdS_p x S^{11-p} and Superconformal Field Theories
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We study the large N limit of the interacting superconformal field theories associated with N M5 branes or M2 branes using the recently proposed relation between these theories and M theory on AdS spaces. We first analyze the spectrum of chiral operators of the 6d (0,2) theory associated with M5 branes in flat space, and find full agreement with earlier results obtained using its DLCQ description as quantum mechanics on a moduli space of instantons. We then perform a similar analysis for the D_N type 6d (0,2) theories associated with M5 branes at an R^5/Z_2 singularity, and for the 3d N=8 superconformal field theories associated with M2 branes in flat space and at an R^8/Z_2 singularity respectively. Little is known about these three theories, and our study yields for the first time their spectrum of chiral operators (in the large N limit).
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Localization and wall-crossing of giant graviton expansions in AdS$_5$
The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Landau problem.