A Quantum Mechanical Model of Spherical Supermembranes

Details A Quantum Mechanical Model of Spherical Supermembranes A Quantum Mechanical Model of Spherical Supermembranes

2002-10-04

arxiv.org/abs/hep-th/0210049v2

JHEP 0301:070,2003

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/1126-6708/2003/01/070

We present a quantum mechanical model of spherical supermembranes. Using superfields to represent the cartesian coordinates of the membrane, we are able to exactly determine its supersymmetric vacua. We find there are two classical vacua, one corresponding to an extended membrane and one corresponding to a point-like membrane. For the ${\mathcal N} = 2$ case, instanton effects then lift these vacua to massive states. For the ${\mathcal N} = 4$ case, there is no instanton tunneling, and the vacua remain massless. Similarities to spherical supermembranes as giant gravitons and in Matrix theory on pp-waves is discussed.

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