2025/09/22 by Deddo, Evan, Jayaprakash, Sabarenath, Liu, James T. +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2509.18252
We consider giant gravitons in the probe approximation when they are described by classical brane configurations in AdSp+2× Sq+2 wrapping a particular q-cycle and spinning in Sq+2. We quantize the full set of fluctuations of these configurations and show that they are sufficient to capture all the supersymmetric single-letter partition functions of the dual field theory. We explicitly discuss the cases of D3, M2 and M5 branes and reproduce the single-letter indices for all fractions of supersymmetry. We also provide a new derivation of the full finite-N half-BPS index by promoting certain fluctuations to matrix-valued fields. We elaborate on the obstructions for the general finite-N computations. Given that the single-letter partition functions are the building blocks of all supersymmetric enumerations, including for the black hole entropy, our work provides a direct gravitational counting of those degrees of freedom modulo finite-N obstacles due to non-Abelian effects.