Four-Dimensional Null Energy Condition as a Swampland Conjecture

Heliudson Bernardo (Department of Physics, McGill University, Montréal, Quebec H3A 2T8, Canada) ; Suddhasattwa Brahma (Department of Physics, McGill University, Montréal, Quebec H3A 2T8, Canada) ; Keshav Dasgupta (Department of Physics, McGill University, Montréal, Quebec H3A 2T8, Canada) ; Mir Mehedi Faruk (Department of Physics, McGill University, Montréal, Quebec H3A 2T8, Canada) ; Radu Tatar (Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, United Kingdom)

We analyze four-dimensional Friedmann-Lemaître-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.

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      "value": "We analyze four-dimensional Friedmann-Lema\u00eetre-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\u2014the 4D NEC is a consistency condition for any theory to have a completion within M theory\u2014with 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."
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Published on:
27 October 2021
Publisher:
APS
Published in:
Physical Review Letters , Volume 127 (2021)
Issue 18
DOI:
https://doi.org/10.1103/PhysRevLett.127.181301
arXiv:
2107.06900
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: