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Space-time uncertainty principle and conformal symmetry in D-particle dynamics. (English) Zbl 1080.81602

Summary: Motivated by the space-time uncertainty principle, we establish a conformal symmetry in the dynamics of D-particles. The conformal symmetry, combined with the supersymmetric non-renormalization theorem, uniquely determines the classical form of the effective action for a probe D-particle in the background of a heavy D-particle source, previously constructed by Becker-Becker-Polchinski-Tseytlin. Our results strengthen the conjecture proposed by Maldacena on the correspondence, in the case of D-particles, between the supergravity and the supersymmetric Yang-Mills matrix models in the large-\(N\) limit, the latter being the boundary conformal field theory of the former in the classical D-particle background in the near-horizon limit.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81Q60 Supersymmetry and quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
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[1] Gubser, S.; Klebanov, I.; Tseytlin, A., Nucl. Phys. B, 499, 217 (1997)
[5] Banks, T.; Fischler, W.; Shenker, S. H.; Susskind, L., Phys. Rev. D, 55, 5112 (1997)
[7] Yoneya, T., String theory and quantum gravity, (Kawamoto, N.; Kugo, T., Quantum String Theory (1988), Springer: Springer Berlin), 23, see also · Zbl 1376.81064
[8] Yoneya, T., Prog. Theor. Phys., 97, 949 (1997)
[10] Douglas, M. R.; Kabat, D.; Pouliot, P.; Shenker, S. H., Nucl. Phys. B, 485, 85 (1997)
[11] Li, M.; Yoneya, T., Phys. Rev. Lett., 78, 1219 (1997)
[12] Aichelburg, P. C.; Sexl, R. U., Gen. Rel. Grav., 2, 303 (1971)
[13] Witten, E., Nucl. Phys. B, 443, 85 (1995)
[16] Becker, K.; Becker, M., Phys. Rev. D, 57, 6464 (1998)
[17] Becker, K.; Becker, M.; Polchinski, J.; Tseytlin, A., Phys. Rev. D, 56, 3174 (1997)
[19] Bergman, O.; Zwiebach, B., Nucl. Phys. B, 441, 441 (1995)
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