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Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions

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arxiv 2210.10797 v2 pith:OGCHJ7Y7 submitted 2022-10-19 hep-th

Luca Martucci , Nicolo Risso , Timo Weigand This is my paper · ORCID
classification hep-th
keywords boundsquantumeffectivegravitytheoriesconstraintsgaugegravitational
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abstract

We propose quantum gravitational constraints on effective four-dimensional theories with N=1 supersymmetry. These Swampland constraints arise by demanding consistency of the worldsheet theory of a class of axionic, or EFT, strings whose existence follows from the Completeness Conjecture of quantum gravity. Modulo certain assumptions, we derive positivity bounds and quantization conditions for the axionic couplings to the gauge and gravitational sector at the two- and four-derivative level, respectively. We furthermore obtain general bounds on the rank of the gauge sector in terms of the gravitational couplings to the axions. We exemplify how these bounds rule out otherwise consistent effective supergravity theories as theories of quantum gravity. Our derivations of the quantum gravity bounds are tested and further motivated in concrete string theoretic settings. In particular, this leads to a sharper version of the bound on the gauge group rank in F-theory on elliptic four-folds with a smooth base, which improves the known geometrical Kodaira bounds. We furthermore provide a detailed derivation of the EFT string constraints in heterotic string compactifications including higher derivative corrections to the effective action and apply the bounds to M-theory compactifications on $G_2$ manifolds.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integral Scaling for EFT Strings from the Bottom-Up

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    Under brane-taxonomy axioms and an n_e≤7 homogeneity bound, integral scaling with w≤3 is an exhaustive finite consequence for all EFT string candidates in 4d N=1 moduli slices.

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    Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.

  3. Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape

    hep-th 2026-01 conditional novelty 7.0 of 10

    Effective field theories consistent with quantum gravity are conjectured to have uniformly bounded 'tame complexity', a quantitative measure of the information needed to specify them.

  4. Towards the Non-Perturbative Completion of 4d N=1 Effective Theories of Gravity

    hep-th 2025-10 conditional novelty 7.0 of 10

    Small-volume regimes of flop curves in 4d N=1 F-theory require non-perturbative states—blow-up moduli and D3-string excitations—to complete the locally enhanced N=2 spectrum.

  5. Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture

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  7. Non-invertible symmetries in the axiverse, and the imaginary wormholes

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    Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.

  8. EFT strings and dualities in 4d $\mathcal{N}=1$

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