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

TL;DR

This paper extends the AdS-CFT correspondence to matrix theory in the large N limit, showing a precise spectrum match and providing predictions for two-point functions, with implications for D-particle dynamics and the Matrix-theory conjecture.

Contribution

It demonstrates a detailed harmonic analysis and spectrum matching between supergravity fluctuations and Matrix theory operators, extending the AdS-CFT correspondence.

Findings

Spectrum of fluctuations matches Matrix theory operators

Two-point functions predict large N behavior

Discovery of anomalous scaling related to infinite momentum limit

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.