Fine Tuning, Sequestering, and the Swampland

Abstract

We conjecture and present evidence that any effective field theory coupled to gravity in flat space admits at most a finite number of fine tunings, depending on the amount of supersymmetry and spacetime dimension. In particular, this means that there are infinitely many non-trivial correlations between the allowed deformations of a given effective field theory in the gravitational context. Fine tuning of parameters allows us to obtain some consistent CFTs in the IR limit of gravitational theories. Related to finiteness of fine tunings, we conjecture that except for a finite number of CFTs, the rest cannot be consistently coupled to gravity and belong to the swampland. Moreover, we argue that even though matter sectors coupled to gravity may sometimes be partially sequestered, there is an irreducible level of mixing between them, correlating and coupling infinitely many operators between these sectors.

v3: 7 pages, typo corrected

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• The $F$-term Problem and other Challenges of Stringy Quintessence
• Towards a Swampland Global Symmetry Conjecture using Weak Gravity
• Shedding black hole light on the emergent string conjecture
• Special Geometry and the Swampland
• General Prescription for Global U(1)'s in 6D SCFTs
• Species scale, worldsheet CFTs and emergent geometry
• Thermal Dark Energy
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• Statistical coupling constants from hidden sector entanglement
• Dark energy, Ricci-nonflat spaces, and the Swampland
• A Note on the dS Swampland Conjecture, Non-BPS branes and K-theory
• Dark energy with the help of interacting dark sectors
• S-dual Inflation and the String Swampland
• On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$
• A Note on the Swampland Distance Conjecture
• Lectures in Quantum Gravity
• dS Spaces and Brane Worlds in Exotic String Theories
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Comments on Brane Recombination, Finite Flux Vacua, and the Swampland
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• A Tale of Two $U(1)$'s: Kinetic Mixing from Lattice WGC States