Wormhole solutions with imaginary scalars set an Imaginary Distance Bound on analytic continuation of couplings, enforced by stringy effects that coincide with WGC and KSW in special cases.
Witten,Duality and Axion Wormholes,2601.01587
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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.
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.
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 Type-IIB wormhole partition function in theta is the Fourier transform of charge-sector scalar coefficients W_ν[b], whose symmetry, positivity, and tail properties determine the partition function's analytic structure.
In the axion charge sector of Type IIB, the E=0 BPS instanton has a physical Hessian that factorizes as Q dagger Q, interpreted as an endpoint theorem beyond stability for E>0 wormholes, with separation of throat from multipole operator terms.
citing papers explorer
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Wormholes and the imaginary distance bound
Wormhole solutions with imaginary scalars set an Imaginary Distance Bound on analytic continuation of couplings, enforced by stringy effects that coincide with WGC and KSW in special cases.
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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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Lattice chiral symmetry from bosons in 3+1d
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
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Axions on de Sitter space
Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.
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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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Charge-Sector Construction of the Type-IIB Axion--Dilaton Wormhole Partition Function
The Type-IIB wormhole partition function in theta is the Fourier transform of charge-sector scalar coefficients W_ν[b], whose symmetry, positivity, and tail properties determine the partition function's analytic structure.
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Type IIB Axion--Dilaton Wormholes and the BPS Limit Hessian
In the axion charge sector of Type IIB, the E=0 BPS instanton has a physical Hessian that factorizes as Q dagger Q, interpreted as an endpoint theorem beyond stability for E>0 wormholes, with separation of throat from multipole operator terms.