Machine learning the breakdown of tame effective theories

Stefano Lanza*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Effective field theories endowed with a nontrivial moduli space may be broken down by several, distinct effects as the energy scales that are probed increase. These may include the appearance of a finite number of new states, or the emergence of an infinite tower of states, as predicted by the Distance Conjecture. Consequently, the moduli space can be partitioned according to which kind of state first breaks down the effective description, and the effective-theory cutoff has to be regarded as a function of the moduli that may abruptly vary in form across the components of the partition. In this work we characterize such a slicing of the moduli space, induced by the diverse breakdown mechanisms, in a two-fold way. Firstly, employing the recently formulated Tameness Conjecture, we show that the partition of the moduli space so constructed is composed only of a finite number of distinct components. Secondly, we illustrate how this partition can be concretely constructed by means of supervised machine learning techniques, with minimal bottom-up information.
Original languageEnglish
Article number631
Number of pages21
JournalEuropean Physical Journal C
Volume84
Issue number6
DOIs
Publication statusPublished - 25 Jun 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Funding

I am deeply grateful to Thomas Grimm for continuous support and suggestions throughout the writing of this work, and to Mick van Vliet and Timo Weigand for precious comments on the draft. I would also like to thank Florent Baume, Cesar Fierro Cota and Jeroen Monnee for interesting discussions. This research is supported in part by Deutsche Forschungsgemeinschaft under Germany\u2019s Excellence Strategy EXC 2121 Quantum Universe 390833306 and by Deutsche Forschungsgemeinschaft through a German-Israeli Project Cooperation (DIP) grant \u201CHolography and the Swampland\u201D. During the initial stage of the project, this research was partly supported by the Dutch Research Council (NWO) via a Start-Up grant and a Vici grant.

FundersFunder number
DIP
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
German-Israeli Project Cooperation
Florent Baume
Deutsche Forschungsgemeinschaft390833306

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