World-Sheet formulation of M theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages LATEX

Scientific paper

10.1142/S0217751X98002377

We first review the interpretation of world-sheet defects as $D$ branes described by a critical theory in 11 dimensions, that we interpret as $M$ theory. We then show that $D$-brane recoil induces dynamically an anti-de-Sitter (AdS) space-time background, with criticality restored by a twelfth time-like dimension described by a Liouville field. Local physics in the bulk of this AdS$_{11}$ may be described by an $Osp(1|32,R) \otimes Osp(1|32,R)$ topological gauge theory (TGT), with non-local boundary states in doubleton representations. We draw analogies with structures previously exhibited in two-dimensional black-hole models. Wilson loops of `matter' in the TGT may be described by an effective string action, and defect condensation may yield string tension and cause a space-time metric to appear.

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