UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity

Abstract

We argue that accidental approximate scaling symmetries are robust predictions of weakly coupled string vacua, and show that their interplay with supersymmetry and other (generalised) internal symmetries underlies the ubiquitous appearance of no-scale supergravities in low-energy 4D EFTs. We identify 4 nested types of no-scale supergravities, and show how leading quantum corrections can break scale invariance while preserving some no-scale properties (including non-supersymmetric flat directions). We use these ideas to classify corrections to the low-energy 4D supergravity action in perturbative 10D string vacua, including both bulk and brane contributions. Our prediction for the Kähler potential at any fixed order in ${\alpha }^{\prime }$ and string loops agrees with all extant calculations. p-form fields play two important roles: they spawn many (generalised) shift symmetries; and space-filling 4-forms teach 4D physics about higher-dimensional phenomena like flux quantisation. We argue that these robust symmetry arguments suffice to understand obstructions to finding classical de Sitter vacua, and suggest how to get around them in UV complete models.

v2: matches published version

References in corpus (19)

• Cosmology and the Fate of Dilatation Symmetry
• Generalized Global Symmetries
• The Swampland: Introduction and Review
• A Natural Framework for Chaotic Inflation
• An Ignoble Approach to Large Field Inflation
• Moduli-Induced Gravitino Problem
• SUSY Breaking in Local String/F-Theory Models
• Inflationary Constraints on Type IIA String Theory
• Jumping Through Loops: On Soft Terms from Large Volume Compactifications
• Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
• Large Field Inflation and Double $\alpha$-Attractors
• Sequestered de Sitter String Scenarios: Soft-terms
• ${\alpha }^{\prime }$ Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives
• alpha'-Corrections to Heterotic Superstring Effective Action Revisited
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• Uber-naturalness: unexpectedly light scalars from supersymmetric extra dimensions
• Inflating with Large Effective Fields
• Axionic D3-D7 Inflation
• The Euler characteristic correction to the Kaehler potential - revisited

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