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A new proof of the positive energy theorem
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In the citing paper
“In the absence of further ingredients that modify the spin connection, the energy condition that needs to be violated is known as the Dominant Energy Condition, as already implied by the Positive Energy Theorem [25,26].”
From Nothing is certain in string compactifications (2020) · cites this paper as [26]
In the citing paper
“A vacuum preserving any supercharge must necessarily be stable, since the supercharge can be written as a boundary integral of the supercurrent [26,46].”
From Nothing is certain in string compactifications (2020) · cites this paper as [26]
In the citing paper
“Alas, at the classical level, this is not the case; the dynamical protection against decay is robustly built-in in Einstein's equations themselves, and is a consequence of the Positive Energy Theorem [26] and its generalization [47,48], which covers cases including compactifications.”
From Nothing is certain in string compactifications (2020) · cites this paper as [26]
In the citing paper
“in a supersymmetric theory there are no negative ADM mass solutions and the only zero solution is the vacuum; this is due to the fact that the energy operator is the square of the supercharge, which is itself a boundary integral of the supercurrents [26].”
From Nothing is certain in string compactifications (2020) · cites this paper as [26]
In the citing paper
“the positive energy theorem [43][44][45], which ensures the full stability of R 1,4 does not apply to R 1,3 × S 1 .”
From Nothing really matters (2020) · cites this paper as [45]
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Research works printed but not linked: 39
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Self-citation
Metadata
- Authors
- Witten, E.
- Venue
- Communications in Mathematical Physics
- Published
- 1981-09
- Volume
- 80
- Issue
- 3
- Pages
- 381-402
- ISSN
- 0010-3616
- 1432-0916
- Cited by
- 1,163
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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- CoChat. (2026). Citation check: A new proof of the positive energy theorem. https://app.cochat.ai/papers/10.1007/bf01208277
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- Witten, E. (1981). A new proof of the positive energy theorem. Communications in Mathematical Physics. https://doi.org/10.1007/bf01208277
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