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The inheritance of energy conditions: Revisiting no-go theorems in string compactifications

by Heliudson Bernardo, Suddhasattwa Brahma, Mir Mehedi Faruk

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Submission summary

Authors (as registered SciPost users): Heliudson Bernardo · Suddhasatwa Brahma
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-11-10
Date submitted: 2023-10-25 17:55
Submitted by: Bernardo, Heliudson
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
Approach: Theoretical


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.

Author comments upon resubmission

Dear Editor,

We have added a footnote four on page 17 explaining how fluxes would affect our results. The comments are essentially a summary of the previous reply to the referee. We have also improved the discussion on DEC for p-forms at the end of section 2.1.

Heliudson Bernardo

List of changes

-Improved discussion on DEC for p-form fields added;

-Footnote four modified to explain how fluxes would affect our results.

Published as SciPost Phys. 15, 225 (2023)

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