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Sekino, Yasuhiro; Yoneya, Tamiaki

Generalized AdS-CFT correspondence for Matrix theory in the large-\(N\) limit. (English) Zbl 0951.81057

Nucl. Phys., B 570, No. 1-2, 174-206 (2000).
Summary: 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.

Cited in 18 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

Keywords:

anomalous scaling behavior; large-\(N\) limit
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