Abstract

We study in detail the structure of the Lorentz covariant, spacetime supersymmetric 11-dimensional supermembrane theory. We show that for a flat spacetime background, the spacetime supersymmetry becomes an N = 8 world volume (rigid) supersymmetry in a “physical” gauge; we also present the field equations and transformation rules in a “lightcone” gauge. We semiclassically quantize the closed torodial supermembrane on a spacetime ( Minkowski) 4 × ( flat 7-torus), and review some mathematical results that are relevant for path integral quantization.

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