Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit

TL;DR

The paper addresses extending AdS-CFT to Matrix Theory in the large-$N$ limit by leveraging generalized conformal symmetry. It carries out a complete harmonic analysis of bosonic linearized fluctuations around a heavy D0-brane background in type IIA supergravity and demonstrates that the fluctuation spectrum precisely matches the spectrum of physical Matrix Theory operators. By applying the gravity-side prescription, it derives explicit two-point functions, predicting the large-$N$ scaling behavior of Matrix Theory under a special infrared cutoff and establishing a generalized conformal dimension $\Delta = -1 + \frac{10}{7}\nu$ for the dual operators. The results provide strong evidence for a generalized AdS-CFT correspondence in the D0-matrix setup, discuss implications for large-$N$ D-particle dynamics and the Matrix-theory conjecture, and reveal anomalous scaling and possible screening mechanisms in the infinite momentum frame. Limitations related to the region of validity (infrared cutoffs and coupling constraints) are discussed, with suggestions for how these findings inform (and cautions about) interpreting the Matrix theory as emergent from 11D M-theory in the IMF.

Abstract

Guided by the generalized conformal symmetry, we investigate the extension of AdS-CFT correspondence to the matrix model of D-particles in the large N limit. We perform a complete harmonic analysis of the bosonic linearized fluctuations around a heavy D-particle background in IIA supergravity in 10 dimensions and find that the spectrum precisely agrees with that of the physical operators of Matrix theory. The explicit forms of two-point functions give predictions for the large $N$ behavior of Matrix theory with some special cutoff. We discuss the possible implications of our results for the large N dynamics of D-particles and for the Matrix-theory conjecture. We find an anomalous scaling behavior with respect to the large N limit associated to the infinite momentum limit in 11 dimensions, suggesting the existence of a screening mechanism for the transverse extension of the system.