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.
Non-extremal instantons and wormholes in string theory
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
We construct the most general non-extremal spherically symmetric instanton solution of a gravity-dilaton-axion system with $SL(2,R)$ symmetry, for arbitrary euclidean spacetime dimension $D\geq 3$. A subclass of these solutions describe completely regular wormhole geometries, whose size is determined by an invariant combination of the $SL(2,R)$ charges. Our results can be applied to four-dimensional effective actions of type II strings compactified on a Calabi-Yau manifold, and in particular to the universal hypermultiplet coupled to gravity. We show that these models contain regular wormhole solutions, supported by regular dilaton and RR scalar fields of the universal hypermultiplet.
citation-role summary
citation-polarity summary
fields
hep-th 6years
2026 6roles
background 2representative citing papers
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.
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 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.
Supergravity truncations admit real-metric wormhole solutions via imaginary scalar extensions whose holographic duals are pseudo-Hermitian and PT-symmetric, interpretable as entangled brane states.
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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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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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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Supergravity flows, wormholes and their pseudo-Hermitian holographic duals
Supergravity truncations admit real-metric wormhole solutions via imaginary scalar extensions whose holographic duals are pseudo-Hermitian and PT-symmetric, interpretable as entangled brane states.
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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.