Taxonomy of Instanton Corrections in Infinite Distance Limits

Fuente: arXiv
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Main Authors: Artime, Manuel, Blumenhagen, Ralph, Leivadaros, Panagiotis
Format: Preprint
Published: 2026
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author Artime, Manuel
Blumenhagen, Ralph
Leivadaros, Panagiotis
author_facet Artime, Manuel
Blumenhagen, Ralph
Leivadaros, Panagiotis
contents Using the BPS-protected higher derivative $R^4$-term as an exactly solvable example, we analyze which instanton corrections are generated by a one-loop Schwinger integral over the light towers of states that arise in infinite distance limits in moduli space. We find that the Schwinger integral fully captures precisely those instantons whose action lies parametrically in the window $(Λ_{\rm sp}/M_{\rm light})^{-1}\le {\rm S}_{\rm inst}\le Λ_{\rm sp}/M_{\rm light}$, that is, instantons whose action is bounded by the ratio of the gravity cutoff and the mass scale of the lightest tower. This proposal is supported by considering the entire moduli space of toroidal compactifications in eight dimensions, together with a number of limits in seven dimensions. In each case, integrating out the light towers via the Schwinger integral reproduces the complete contribution of the instantons within the above window. We further recast the proposal in terms of the taxonomy classification, allowing us to determine the emergent instantonic spectrum associated with any infinite distance limit.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03005
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Taxonomy of Instanton Corrections in Infinite Distance Limits
Artime, Manuel
Blumenhagen, Ralph
Leivadaros, Panagiotis
High Energy Physics - Theory
Using the BPS-protected higher derivative $R^4$-term as an exactly solvable example, we analyze which instanton corrections are generated by a one-loop Schwinger integral over the light towers of states that arise in infinite distance limits in moduli space. We find that the Schwinger integral fully captures precisely those instantons whose action lies parametrically in the window $(Λ_{\rm sp}/M_{\rm light})^{-1}\le {\rm S}_{\rm inst}\le Λ_{\rm sp}/M_{\rm light}$, that is, instantons whose action is bounded by the ratio of the gravity cutoff and the mass scale of the lightest tower. This proposal is supported by considering the entire moduli space of toroidal compactifications in eight dimensions, together with a number of limits in seven dimensions. In each case, integrating out the light towers via the Schwinger integral reproduces the complete contribution of the instantons within the above window. We further recast the proposal in terms of the taxonomy classification, allowing us to determine the emergent instantonic spectrum associated with any infinite distance limit.
title Taxonomy of Instanton Corrections in Infinite Distance Limits
topic High Energy Physics - Theory
url https://arxiv.org/abs/2605.03005