Abstract
This paper gives a mathematically rigorous proof of the positive energy theorem using spinors. This completes and simplifies the original argument presented by Edward Witten. We clarify the geometric aspects of this argument and prove the necessary analytic theorems concerning the relevant Dirac operator.
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Communicated by A. Jaffe
Supported in part by the National Science Foundation under Grant PHY79-16812
Junior Fellow, Harvard University Society of Fellows
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Parker, T., Taubes, C.H. On Witten's proof of the positive energy theorem. Commun.Math. Phys. 84, 223–238 (1982). https://doi.org/10.1007/BF01208569
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DOI: https://doi.org/10.1007/BF01208569