Space-time uncertainty principle and conformal symmetry in D-particle dynamics
Abstract
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.
- Publication:
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Nuclear Physics B
- Pub Date:
- December 1998
- DOI:
- 10.1016/S0550-3213(98)00578-1
- arXiv:
- arXiv:hep-th/9805069
- Bibcode:
- 1998NuPhB.535..335J
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 18 pages, no figures, final version to be published in Nucl. Phys. B, typos are corrected and a few sentences are added