Abstract
An explicit construction of a free and massless Majorana quantum field theory, which exists on a conformal superworld M is presented. Emphasis is placed on the investigation of the action of an infinite-dimensional group G of spacetime symmetries on M. Starting with a one-particle theory, this action induces a strongly continuous representation of Diffapproximately +(S1) on the single-particle Hilbert space. After second quantization the group of implementers turns out to be a non-trivial central extension of Diffapproximately +(S1) by U(1), and a Schwinger term occurs, which gives rise to the anomalous transformation law of the energy-momentum tensor of the theory. This transformation law is studied, and an interesting connection to geometry is established.
Published Version
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