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

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.

arXiv comment22 pages; typos corrected; updated discussion of DEC for p-form fields added; extra typos corrected

References in corpus (36)

• Hierarchies from Fluxes in String Compactifications
• Supergravity description of field theories on curved manifolds and a no go theorem
• M Theory, Orientifolds and G-Flux
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• Consistency Conditions for Orientifolds and D-Manifolds
• Spacelike Branes
• What if string theory has no de Sitter vacua?
• Thoughts on Tachyon Cosmology
• A Primer on Energy Conditions
• Energy conditions in general relativity and quantum field theory
• Energy conditions and their cosmological implications
• Constraining de Sitter Space in String Theory
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Dark Energy, Inflation and Extra Dimensions
• de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
• Energy conditions in arbitrary dimensions
• On Cosmological Constants from alpha'-Corrections
• de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
• de Sitter Vacua in the String Landscape
• S-brane to thermal non-singular string cosmology
• Ekpyrotic Cosmology with a Zero-Shear S-Brane
• Derivation of the Null Energy Condition
• Reheating after S-Brane Ekpyrosis
• Cosmological Perturbations Across an S-brane
• de Sitter Space as a Glauber-Sudarshan State: II
• Late-time Cosmic Acceleration from Compactification
• Dark Energy, Extra Dimensions, and the Swampland
• de Sitter Space as a Glauber-Sudarshan State
• Oxidised cosmic acceleration
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• Criteria for energy conditions
• Constraints and Horizons for de Sitter with Extra Dimensions
• A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models
• Snowmass White Paper: Cosmology at the Theory Frontier
• The four-dimensional null energy condition as a swampland conjecture

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• A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E_8 X E_8 Heterotic String Theories I: Formalisms
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