The inheritance of energy conditions: Revisiting no-go theorems in string compactifications
Heliudson Bernardo, Suddhasattwa Brahma, Mir Mehedi Faruk
SciPost Phys. 15, 225 (2023) · published 5 December 2023
- doi: 10.21468/SciPostPhys.15.6.225
- Submissions/Reports
Abstract
One of the fundamental challenges in string theory is to derive realistic four-dimensional cosmological backgrounds from it despite strict consistency conditions that constrain its possible low-energy backgrounds. In this work, we focus on energy conditions as covariant and background-independent consistency requirements in order to classify possible backgrounds coming from low-energy string theory in two steps. Firstly, we show how supergravity actions obey many relevant energy conditions under some reasonable assumptions. Remarkably, we find that the energy conditions are satisfied even in the presence of objects which individually violate them due to the tadpole cancellation condition. Thereafter, we list a set of conditions for a higher-dimensional energy condition to imply the corresponding lower-dimensional one, thereby categorizing the allowed low-energy solutions. As for any no-go theorem, our aim is to highlight the assumptions that must be circumvented for deriving four-dimensional spacetimes that necessarily violate these energy conditions, with emphasis on cosmological backgrounds.
Cited by 3
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Heliudson Bernardo,
- 2 Suddhasatwa Brahma,
- 1 2 3 4 Mir Mehedi Faruk
- 1 McGill University
- 2 University of Edinburgh
- 3 Institute of Physics, University of Amsterdam [IoP, UvA]
- 4 Delta Institute for Theoretical Physics [Delta ITP]
- Fonds de Recherche du Québec - Nature et Technologies (through Organization: Fonds de Recherche du Québec – Nature et technologies [FRQNT])
- Conseil de Recherches en Sciences Naturelles et en Génie / Natural Sciences and Engineering Research Council [NSERC / CRSNG]
- Science and Technology Facilities Council [STFC]
- Universiteit van Amsterdam / University of Amsterdam [UvA]