2026-10-19 · arXiv Quantum Physics
arXiv:2610.22429v1 Announce Type: cross
Abstract: I determine the leading finite-radius correction to the two-boundary response of a charged axion wormhole near its BPS endpoint. With $\delta=a_*^2$, exact radial matching in a product axion--dilaton/saxion system gives a boundary eigenvalue that vanishes as $O(\delta)$ and an off-diagonal Hessian entry of order $O(\delta^2)$. Their combination produces a cross-boundary covariance linear in $\delta$, with a negative first sub-leading correction on the branch studied here. I determine the semiclassical range in which the quadratic approximation remains controlled and identify the first finite-radius angular resonance, $\delta^2\log(\delta/\delta_0)$. Under a uniform rescaling of all active charges, the coefficient of the linear cross-boundary response scales as the inverse square of the charge scale. I then average the inverse response over the chiral Gaussian ensemble describing the BPS endpoint. Boundary reduction preserves the hard-edge index. Multiplication by the matched BPS sector weight converts the normalized response into the leading finite-radius two-source coefficient.
原文链接:https://arxiv.org/abs/2610.22429
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