Derivation of the Null Energy Condition

Jan Pieter van der Schaar; Maulik Parikh

Derivation of the Null Energy Condition

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arxiv 1406.5163 v2 pith:ZVJXRVSO submitted 2014-06-19 hep-th astro-ph.COgr-qc

Maulik Parikh , Jan Pieter van der Schaar This is my paper · ORCID

classification hep-thastro-ph.COgr-qc

keywords conditionenergynullconstraintstringworldsheetalpha-primebosonic

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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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Traversable wormhole for string, but not for particle
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A two-parameter NS-NS wormhole background admits chiral string solutions that cross the singular boundary surfaces that particles and ordinary strings cannot.

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