Axion Wormholes and the AdS/CFT Factorization Problem

Fuente: arXiv
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Autores principales: Held, Jesse, Kaplan, Molly, Marolf, Donald, Wang, Zhencheng
Formato: Preprint
Publicado: 2026
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author Held, Jesse
Kaplan, Molly
Marolf, Donald
Wang, Zhencheng
author_facet Held, Jesse
Kaplan, Molly
Marolf, Donald
Wang, Zhencheng
contents This work investigates the relevance of Euclidean and complex axion wormholes to the AdS/CFT factorization problem. We use a framework that defines bulk gravitational path integrals by integrating over a real Lorentz-signature contour and then, as needed, perhaps further analytically continuing the resulting functions of boundary conditions. For technical reasons we focus on the case of 2+1 bulk dimensions. The AdS boundary conditions (in any dimension) require us to impose Dirichlet boundary conditions on the standard Euclidean axion $χ_E$. Fixing its asymptotic values on two boundary spheres to $\pm χ_{E,\infty}$, we find such wormholes to be subdominant to a UV-sensitive endpoint contribution for $χ_{E, \infty}$ near the real axis, and that (with our conventions) they become dominant only for $χ_{E, \infty}$ near the negative imgainary axis. Furthermore, such wormholes are irrelevant to our computation for ${\rm Im} χ_{E, \infty} >0$ (in the sense that the associated ascent contour fails to intersect the contour of integration). The relevance of the wormhole saddle for real positive $χ_{E, \infty}$ is in fact a matter of choice, as the saddle then lies on a Stokes' line at which the relevant intersection number changes from zero to one.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02507
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Axion Wormholes and the AdS/CFT Factorization Problem
Held, Jesse
Kaplan, Molly
Marolf, Donald
Wang, Zhencheng
High Energy Physics - Theory
This work investigates the relevance of Euclidean and complex axion wormholes to the AdS/CFT factorization problem. We use a framework that defines bulk gravitational path integrals by integrating over a real Lorentz-signature contour and then, as needed, perhaps further analytically continuing the resulting functions of boundary conditions. For technical reasons we focus on the case of 2+1 bulk dimensions. The AdS boundary conditions (in any dimension) require us to impose Dirichlet boundary conditions on the standard Euclidean axion $χ_E$. Fixing its asymptotic values on two boundary spheres to $\pm χ_{E,\infty}$, we find such wormholes to be subdominant to a UV-sensitive endpoint contribution for $χ_{E, \infty}$ near the real axis, and that (with our conventions) they become dominant only for $χ_{E, \infty}$ near the negative imgainary axis. Furthermore, such wormholes are irrelevant to our computation for ${\rm Im} χ_{E, \infty} >0$ (in the sense that the associated ascent contour fails to intersect the contour of integration). The relevance of the wormhole saddle for real positive $χ_{E, \infty}$ is in fact a matter of choice, as the saddle then lies on a Stokes' line at which the relevant intersection number changes from zero to one.
title Axion Wormholes and the AdS/CFT Factorization Problem
topic High Energy Physics - Theory
url https://arxiv.org/abs/2601.02507