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

Sekino, Yasuhiro; Yoneya, Tamiaki

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.

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

References:

[1]	Maldacena, J., Adv. Theor. Math. Phys., 2, 231 (1998)
[2]	Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M., Phys. Lett. B, 428, 105 (1998)
[3]	Witten, E., Adv. Theor. Math. Phys., 2, 505 (1998)
[4]	Jevicki, A.; Kazama, Y.; Yoneya, T., Phys. Rev. Lett., 81, 5072 (1998)
[8]	Jevicki, A.; Yoneya, T., Nucl. Phys. B, 535, 335 (1998)
[9]	Yoneya, T., Mod. Phys. Lett. A, 4, 1587 (1989)
[10]	Li, M.; Yoneya, T., Phys. Rev. Lett., 78, 1219 (1997)
[13]	Itzhaki, N.; Maldacena, J.; Sonnenshein, J.; Yankielowicz, S., Phys. Rev. D, 58, 046004 (1998)
[14]	Jevicki, A.; Kazama, Y.; Yoneya, T., Phys. Rev. D, 59, 066001 (1999)
[20]	Banks, T.; Fischler, W.; Shenker, S. H.; Susskind, L., Phys. Rev. D, 55, 5112 (1997)
[22]	Seiberg, N., Phys. Rev. Lett., 79, 3577 (1997)
[23]	Sen, A., Adv. Theor. Math. Phys., 2, 51 (1998)
[24]	Becker, K.; Becker, M.; Polchinski, J.; Tseytlin, A., Phys. Rev. D, 56, 3174 (1997)
[25]	Okawa, Y.; Yoneya, T., Nucl. Phys. B, 538, 67 (1998)
[26]	Okawa, Y.; Yoneya, T., Nucl. Phys. B, 541, 163 (1999)
[27]	Douglas, M.; Kabat, D.; Pouliot, P.; Shenker, S., Nucl. Phys. B, 485, 85 (1997)
[28]	Kim, H. J.; Romans, L. J.; van Nieuwenhuizen, P., Phys. Rev. D, 32, 389 (1985)
[29]	Yoneya, T., Phys. Rev. D, 16, 2567 (1977)
[30]	Kabat, D.; Taylor, W., Phys. Lett. B, 426, 297 (1998)
[31]	Taylor, W.; Van Raamsdonk, M., J. High Energy Phys., 9904, 013 (1999)
[38]	Maldacena, J., Phys. Rev. Lett., 80, 4859 (1998)
[41]	Hashimoto, A.; Itzhaki, N., Phys. Lett. B, 454, 235 (1999)
[42]	Awata, H.; Chaudhuri, S.; Li, M.; Minic, D., Phys. Rev. D, 57, 5303 (1998)
[44]	Rubin, M. A.; Ordońẽz, C. R., J. Math. Phys., 25, 2888 (1984)
[45]	Chodos, A.; Myers, E., Ann. Phys., 156, 412 (1984)