English

The four-dimensional null energy condition as a swampland conjecture

High Energy Physics - Theory 2021-11-02 v2 General Relativity and Quantum Cosmology

Abstract

We analyze four-dimensional Friedmann-Lemaitre-Robertson-Walker cosmologies in type IIB, arising from a M-theory dual, and find that the null energy condition (NEC) has to be obeyed by them (except for the negatively curved case) in order for the M-theory action to have a Wilsonian effective description. However, this does not imply that the M-theory metric has to obey the 11d NEC. Thus, we propose a new swampland conjecture -- the 4d NEC is a consistency condition for any theory to have a completion within M-theory -- with an explicit derivation of it for cosmological backgrounds from a top-down perspective. We briefly discuss the cosmological consequences of such a condition derived from M-theory.

Cite

@article{arxiv.2107.06900,
  title  = {The four-dimensional null energy condition as a swampland conjecture},
  author = {Heliudson Bernardo and Suddhasattwa Brahma and Keshav Dasgupta and Mir Mehedi Faruk and Radu Tatar},
  journal= {arXiv preprint arXiv:2107.06900},
  year   = {2021}
}

Comments

14 pages (including an Appendix); comments welcome; v2: double-columned 8 pages (includes Supplementary Materials), matches published version

R2 v1 2026-06-24T04:12:11.536Z