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.
Non-extremal instantons and wormholes in string theory
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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.
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background 2representative citing papers
Supergravity truncations admit real-metric wormhole and flow solutions via imaginary scalar extensions, interpreted as dual to pseudo-Hermitian PT-symmetric theories and entangled brane-antibrane states.
Wormhole effects in theories with imaginary massless scalars set an upper limit on analytic continuation of couplings to imaginary values, with string theory examples showing the low-energy theory breaks down at or before this bound.
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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Supergravity flows, wormholes and their pseudo-Hermitian holographic duals
Supergravity truncations admit real-metric wormhole and flow solutions via imaginary scalar extensions, interpreted as dual to pseudo-Hermitian PT-symmetric theories and entangled brane-antibrane states.
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Wormholes and the imaginary distance bound
Wormhole effects in theories with imaginary massless scalars set an upper limit on analytic continuation of couplings to imaginary values, with string theory examples showing the low-energy theory breaks down at or before this bound.