
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.
10 pages, journal version
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 530, General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics
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