Supergravity, Supermembrane and M(atrix) model on PP-Waves
نویسنده
چکیده
We study the back-reaction of large-N D0-brane charge on the maximally supersymmetric pp-wave background. This gives the type IIA geometry on which string theory is dual to the BMN Matrix model. We identify the energy scales where perturbation theory in this Matrix model is valid. We derive the supermembrane action on a general pp-wave background and through this, derive the Matrix model. At the present time, two concrete examples of the holographic principle are well known. One is AdS/CFT and the other is the M(atrix) model of M-theory [1]. The latter is conjectured to be the microscopic definition of 11 dimensional M-theory in the DLCQ description and its action is described by the large-N limit of dimensional reduction of U(N) gauge theory to 0 + 1 dimensions:
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