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PreprintCC BY 4.0arXiv

Dilaton-Axion Wormhole Partition Function Away from the BPS Endpoint

  • Soo-Jong Rey
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Abstract

I determine the leading finite-radius correction to the two-boundary response of a charged axion wormhole near its BPS endpoint. With δ=a*2, exact radial matching in a product axion--dilaton/saxion system gives a boundary eigenvalue that vanishes as O(δ) and an off-diagonal Hessian entry of order O(δ2). Their combination produces a cross-boundary covariance linear in δ, 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, δ2log(δ/δ0). 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.

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Cite

BibTeXRIS
BibTeX
@misc{rey2026dilatonaxion,
  title = {{Dilaton-Axion Wormhole Partition Function Away from the BPS Endpoint}},
  author = {Soo-Jong Rey},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22429},
  eprint = {2610.22429},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22429},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dilaton-Axion Wormhole Partition Function Away from the BPS Endpoint
AU  - Soo-Jong Rey
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22429
UR  - https://arxiv.org/abs/2610.22429
AB  - I determine the leading finite-radius correction to the two-boundary response of a charged axion wormhole near its BPS endpoint. With δ=a_*^2, exact radial matching in a product axion--dilaton/saxion system gives a boundary eigenvalue that vanishes as O(δ) and an off-diagonal Hessian entry of order O(δ^2). Their combination produces a cross-boundary covariance linear in δ, 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, δ^2log(δ/δ_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.
ER  -