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Derivation of the Null Energy Condition

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abstract

We derive the null energy condition, understood as a constraint on the Einstein-frame Ricci tensor, from worldsheet string theory. For a closed bosonic string propagating in a curved geometry, the spacetime interpretation of the Virasoro constraint condition is precisely the null energy condition, to leading nontrivial order in the alpha-prime expansion. Thus the deepest origin of the null energy condition lies in worldsheet diffeomorphism invariance.

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2024 1

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  • Traversable wormhole for string, but not for particle hep-th · 2024-12-05 · reject · none · ref 59 · internal anchor

    A two-parameter NS-NS wormhole background admits chiral string solutions that cross the singular boundary surfaces that particles and ordinary strings cannot.