The Gravitino and the Swampland

Abstract

We propose a new swampland conjecture stating that the limit of vanishing gravitino mass corresponds to the massless limit of an infinite tower of states and to the consequent breakdown of the effective field theory. We test our proposal in large classes of models coming from compactification of string theory to four dimensions, where we identify the Kaluza-Klein nature of the tower of states becoming light. We point out a general relation between the gravitino mass and abelian gauge coupling in models with extended supersymmetry, which can survive also in examples with minimal supersymmetry. This allows us to connect our conjecture to other well established swampland conjectures, such as the weak gravity conjecture or the absence of global symmetries in quantum gravity. We discuss phenomenological implications of our conjecture in (quasi-)de Sitter backgrounds and extract a lower bound for the gravitino mass in terms of the Hubble parameter.

arXiv comment43 pages including 2 appendices, 1 figure; v2: figure, minor clarifications, note and refs added; v3: minor typos fixed. JHEP version

References in corpus (80)

• de Sitter Vacua in String Theory
• Planck 2018 results. X. Constraints on inflation
• Hierarchies from Fluxes in String Compactifications
• The Simons Observatory: Science goals and forecasts
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• Brane Inflation
• The Swampland: Introduction and Review
• Distance and de Sitter Conjectures on the Swampland
• The String Landscape and the Swampland
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Bounds on Slow Roll and the de Sitter Swampland
• De Sitter Space and the Swampland
• Black Holes and Large N Species Solution to the Hierarchy Problem
• CMB-S4 Science Book, First Edition
• Lectures on the Swampland Program in String Compactifications
• AdS and the Swampland
• Brane Supersymmetry Breaking
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Landscape, the Scale of SUSY Breaking, and Inflation
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• Trans-Planckian Censorship and the Swampland
• Perturbative Couplings of Vector Multiplets in $N=2$ Heterotic String Vacua
• Cosmology with Nilpotent Superfields
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• On the de Sitter swampland criterion
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Mass formulae and natural hierarchy in string effective supergravities
• de Sitter String Vacua from Kahler Uplifting
• Quantum Break-Time of de Sitter
• On Exclusion of Positive Cosmological Constant
• Volume Modulus Inflation and the Gravitino Mass Problem
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• Further refining the de Sitter swampland conjecture
• The web of swampland conjectures and the TCC bound
• Uplifting Runaways
• F-theory Flux, Destabilization of Orientifolds and Soft Terms on D7--Branes
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Quantum Breaking Bound on de Sitter and Swampland
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• Swampland Distance Conjecture, Inflation and $\alpha$-attractors
• Swampland Variations on a Theme by KKLT
• Conditions for (No) Eternal Inflation
• Supersymmetry reduction of N-extended supergravities in four dimensions
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• Brane/antibrane dynamics and KKLT stability
• Inflation from Nilpotent Kähler Corrections
• Quantum Log-Corrections to Swampland Conjectures
• A Gravitino Distance Conjecture
• Supersymmetric Protection and the Swampland
• Catastrophic Production of Slow Gravitinos
• Anti-D3 branes and moduli in non-linear supergravity
• Constrained superfields from an anti-D3-brane in KKLT
• A Spin-2 Conjecture on the Swampland
• Gravitino Problem in Minimal Supergravity Inflation
• de Sitter Vacua with a Nilpotent Superfield
• The supersymmetric anti-D3-brane action in KKLT
• Slow and Safe Gravitinos
• A Note on String Excitations and the Higuchi Bound
• Weak gravity versus de Sitter
• Fermions and the Swampland
• Inflation, Higher Spins and the Swampland
• Massive supermultiplets with spin 3/2
• String Regge trajectory in de Sitter space and implications for inflation
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• Minimal Supergravity Inflation without Slow Gravitino
• Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS
• Non-supersymmetric String Models from Anti-D3-/D7-branes in Strongly Warped Throats
• A new class of N=1 no-scale supergravity models
• Conifold dynamics and axion monodromies
• Three-forms and Fayet-Iliopoulos terms in Supergravity: Scanning Planck mass and BPS domain walls
• De Sitter Quantum Breaking, Swampland Conjectures and Thermal Strings
• Gravitino Problem in Inflation Driven by Inflaton-Polonyi Kähler Coupling
• Non-supersymmetric branes
• The Gravitino Swampland Conjecture
• Spiky strings in de Sitter space
• AdS Swampland Conjectures and Light Fermions
• Mass and spin for classical strings in $d{S}_3$

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