Berlin 2005 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 3: Supersymmetrie, SYM

GR 3.1: Talk

Friday, March 4, 2005, 11:45–12:00, TU BH262

Plane-wave matrix theory as toy model for N=4 Super-Yang-Mills — •Thomas Klose — Max-Planck-Institute für Gravitationsphysik, Am Mühlenberg 1, 14476 Potsdam

Plane-wave matrix theory (PWMT) is the conjectured microscopic definition of M-theory on a plane-wave, and an important and interesting theory in its very own right. In this talk, however, we look upon PWMT as toy model for N=4 supersymmetric Yang-Mills theory (SYM) and its role in the AdS/CFT correspondence.

We sketch how the PWMT is obtained as a consistent truncation of SYM on a three-sphere. Within their common domain, PWMT and SYM are classically completely equivalent and quantum mechanically to at least third order of perturbation theory. The recent interest in the spectrum of conformal dimensions and the conjectured integrability of SYM are issues which may now be easily studied within PWMT. The advantage of this approach is the computationally much simpler quantum mechanical nature of the matrix theory. We obtain novel 4-loop results of PWMT and hence are able to make new predictions for SYM.