Generalized conformal symmetry in D-brane matrix models - art. no. 066001

We study in detail the extension of the generalized conformal symmetry prop osed previously for D-particles to the case of supersymmetric Yang-Mills ma trix models of Dp-branes for general p. It is demonstrated that such a symm etry indeed exists both in Yang-Mills theory and in the corresponding super gravity backgrounds produced by Dp-branes. On the Yang-Mills side, we deriv e field-dependent special conformal transformations for the collective coor dinates of Dp-branes in the one-loop approximation, and show that they coin cide with transformations on the supergravity side. These transformations a re powerful in restricting the forms of the effective actions of probe D-br anes in the fixed backgrounds of source D-branes. Furthermore, our formalis m enables us to extend the concept of (generalized) conformal symmetry to a rbitrary configurations of D-branes, which can still be used to restrict th e dynamics of D-branes. For such general configurations, however, a simple classical space-time interpretation cannot be given at least in the static gauge adopted in the present formulation of D-branes. [S0556-2821(99)06904- 0].