The Background Geometry of DLCQ Supergravity

Abstract

By following Seiberg's prescriptions on DLCQ of $M$ theory, we give the background geometries of DLCQ supergravity associated with $N$ sector of DLCQ of $M$ theory on $T^p$ with vanishingly small radii. Most of these are the product of anti-de Sitter spacetimes and spheres, which have been found as the spontaneous compactifications of eleven dimensional supergravity long time ago and also are revisited recently by Maldacena by considering the near horizon geometry of various D-branes in appropriate limit. Those geometries are maximally symmetric and have full 32 supersymmetries of eleven dimensional supergravity, which agrees with the number of supersymmetries of DLCQ of $M$ theory. This suggests that DLCQ of $M$ theory is the $M$/string theory on these nontrivial background.

14 pages, Revtex, no figures, issues clarified and errors corrected

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• Absorption of dilaton partial waves by D3-branes
• Supercurrents in Matrix theory and the generalized AdS/CFT correspondence
• Black Holes and Five-brane Thermodynamics
• Matrix Theory Reloaded: A BPS Road to Holography
• Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited
• Non-perturbative membrane spin-orbit couplings in M/IIA theory
• Ten Dimensional Black Hole and the D0-brane Threshold Bound State
• Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
• Are M-atrix theory and Maldacena's conjecture related?
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background
• Dynamical Aspects on Duality between SYM and NCOS from D2-F1 Bound State