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The positivity of gravitational energy and global supersymmetry
Authors:C. M. Hull
Affiliation:1. Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW, Cambridge, England
Abstract:The concept of gravitational energy and the proof of its positivity are reviewed. The relationship between Witten's proof of the positivity of mass and supergravity is explained with reference to the group of global supersymmetries of a spacetime. A formula for the mass is given, in terms of the change of the supercharge under global supersymmetry, which has a simple positivity theorem and which reduces to Witten's expression. An interpretation of Witten's constraint on the spinors used in his proof is given.
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