Compactification of supermembranes

Supermembranes with Winding

We study supermembranes in the light-cone gauge in eleven flat dimensions with compact directions. The membrane states are subject to only the central charges associated with closed two-branes, which, in this case, are generated by the winding itself. We present arguments why this winding leaves the mass spectrum continuous. The lower bound on the mass spectrum is set by the winding number and ...

Compactification of κ-Frames

Supermembranes with Fewer Supersymmetries

The usual supermembrane solution ofD = 11 supergravity interpolates between R11 and AdS4× round S7, has symmetry P3×SO(8) and preserves 1/2 of the spacetime supersymmetries for either orientation of the round S7. Here we show that more general supermembrane solutions may be obtained by replacing the round S7 by any seven-dimensional Einstein space M7. These have symmetry P3 × G, where G is the ...

Supermembranes and Super Matrix Models

We review recent developments in the theory of supermembranes and their relation to matrix models. Lecture presented at the Corfu Workshop, September 20 26, 1998, of the TMR Project Quantum Aspects of Gauge Theories, Supersymmetry and Unification (ERBFMRXCT960045), to appear in the proceedings.

Supermembranes and Supermatrix Models

We briefly review recent developments in the theory of supermembranes and su-permatrix models. In a second part we discuss their interaction with background fields. In particular, we present the full background field coupling for the bosonic case. This is a short summary of the talk at the workshop. A more extended version will appear elsewhere. 1 Supermembranes and matrix models It has been kn...