Positivity of gravitational path integral inner products requires non-perturbative instabilities in axion wormholes that break shift symmetry, implying a sharp axion weak gravity conjecture with precise constants.
Canonical reference
Reece, TASI Lectures: (No) Global Symmetries to Axion Physics , PoS TASI2022 (2024) 008, [2304.08512]
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Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
SU(2)_F bosons in a U(2)_F flavor model induce unsuppressed flavor-violating couplings, with K to pi X and mu to e X constraining the breaking scale v_phi to 10^11-10^12 GeV for light bosons and other processes constraining heavier states.
Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.
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.
The bound Λ_QG ≲ 2π √S f holds for C2 and C4 axions in Type IIB Calabi-Yau compactifications even near Kähler moduli space boundaries where co-scaling fails.
The paper verifies the bound fS/|n| ≤ (π/(2 κ_d)) sqrt((d-1)/(d-2)) for axion instantons and sharpens it to fS/|n| ≤ (1/κ_4) sqrt(7/2) for supersymmetric 4d instantons using three approaches in the string landscape.
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
Kinetic mixing between hidden-sector fluxes and QCD's topological sector shifts the effective theta angle and produces nonzero <G tilde G>.
Small bare fermion masses generate a bias via radiative corrections that triggers annihilation of multi-wall cosmic string networks in gravitationally broken global U(1) models, illustrated in a majoron framework with right-handed neutrinos.
citing papers explorer
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Positivity of the gravitational path integral implies the axionic weak gravity conjecture
Positivity of gravitational path integral inner products requires non-perturbative instabilities in axion wormholes that break shift symmetry, implying a sharp axion weak gravity conjecture with precise constants.
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Fine-Tuning Small Reasoning Models for Quantum Field Theory
Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
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Phenomenology of Non-Abelian Gauge and Goldstone Bosons in a U(2) Flavor Model
SU(2)_F bosons in a U(2)_F flavor model induce unsuppressed flavor-violating couplings, with K to pi X and mu to e X constraining the breaking scale v_phi to 10^11-10^12 GeV for light bosons and other processes constraining heavier states.
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Dyon Loops and Abelian Instantons
Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.
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Non-invertible symmetries in the axiverse, and the imaginary wormholes
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.
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Quantum Gravity Cutoff from Axions: A Type IIB Landscape Study
The bound Λ_QG ≲ 2π √S f holds for C2 and C4 axions in Type IIB Calabi-Yau compactifications even near Kähler moduli space boundaries where co-scaling fails.
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Sharpening the Supersymmetric Axion Weak Gravity Conjecture
The paper verifies the bound fS/|n| ≤ (π/(2 κ_d)) sqrt((d-1)/(d-2)) for axion instantons and sharpens it to fS/|n| ≤ (1/κ_4) sqrt(7/2) for supersymmetric 4d instantons using three approaches in the string landscape.
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Constraining F-theory Model Building with QCD Axions
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
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Flux Mixing and CP Violation in QCD
Kinetic mixing between hidden-sector fluxes and QCD's topological sector shifts the effective theta angle and produces nonzero <G tilde G>.
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A New Route to the Annihilation of Multi-Wall String Topological Configurations
Small bare fermion masses generate a bias via radiative corrections that triggers annihilation of multi-wall cosmic string networks in gravitationally broken global U(1) models, illustrated in a majoron framework with right-handed neutrinos.
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