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.


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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