Global anomalies & bordism of non-supersymmetric strings

The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been shown to be fully consistent; although local anomalies cancel due to versions of the Green-Schwarz mechanism, there could...

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Authors: Basile, I., Debray, A., Molina Delgado, M. Teresa, Montero, M.
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/408843
Online Access:http://hdl.handle.net/10261/408843
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185674128&doi=10.1007%2FJHEP02%282024%29092&partnerID=40&md5=32adf976f86c1377807da92c2dfd1b7b
Access Level:Open access
Keyword:String and Brane Phenomenology
Superstrings and Heterotic Strings
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spelling Global anomalies & bordism of non-supersymmetric stringsBasile, I.Debray, A.Molina Delgado, M. TeresaMontero, M.String and Brane PhenomenologySuperstrings and Heterotic StringsThe three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been shown to be fully consistent; although local anomalies cancel due to versions of the Green-Schwarz mechanism, there could be global anomalies, not cancelled by the Green-Schwarz mechanism, that could become fatal pathologies. We compute the twisted string bordism groups that control these anomalies via the Adams spectral sequence, showing that they vanish completely in two out of three cases (Sugimoto and SO(16)2) and showing a partial vanishing also in the third (Sagnotti 0’B model). We also compute lower-dimensional bordism groups of the non-supersymmetric string theories, which are of interest to the classification of branes in these theories via the Cobordism Conjecture. We propose a worldvolume content based on anomaly inflow for the SO(16)2 NS5-brane, and discuss subtleties related to the torsion part of the Bianchi identity. As a byproduct of our techniques and analysis, we also reprove that the outer ℤ<inf>2</inf> automorphism swapping the two E<inf>8</inf> factors in the supersymmetric heterotic string is also non-anomalous. © The Author(s) 2024.We are very thankful to Luis Alvarez-Gaume, Carlo Angelantonj, Alberto Castellano, Markus Dierigl, Dan Freed, Christian Kneisl, Giorgio Leone, Ignacio Ruiz, Cumrun Vafa, Angel Uranga, and Matthew Yu for many interesting discussions and insightful comments. We are particularly grateful to Yuji Tachikawa for explanations on equivariant topological modular forms. MM gratefully acknowledges the support and hospitality of KITP during the “Bootstrapping Quantum Gravity” Program, supported in part by the National Science Foundation under Grant No. NSF PHY-1748958, as well as the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-2210452, in the context of the program “Traversing the Particle Physics Peaks”. The travel of MM to ACP was supported by a grant of the Simons Foundation. During the early stages of this work, MM was supported by a grant from the Simons Foundation (602883,CV) and by the NSF grant PHY-2013858, by the Maria Zambrano Scholarship (UAM) CA3/RSUE/2021-00493, and currently by the Atraccion del Talento Fellowship 2022-T1/TIC-23956 from Comunidad de Madrid. The work of MD is supported by the FPI grant no. FPI SEV-2016-0597-19-3 from Spanish National Research Agency from the Ministry of Science and Innovation. MM and MD acknowledge the support of the grants CEX2020-001007-S and PID2021-123017NB-I00, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. Part of this work was completed while IB and AD participated in the “Geometry and the Swampland” conference at IFT in 2022; we thank the conference for support. MD also wishes to acknowledge the hospitality of the Arnold Sommerfeld Center for Theoretical Physics (ASC) at the Ludwig-Maximilians Universitat throughout a research visit during which part of this work was completed.Peer reviewedSpringer NatureMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/408843https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185674128&doi=10.1007%2FJHEP02%282024%29092&partnerID=40&md5=32adf976f86c1377807da92c2dfd1b7breponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1007/JHEP02(2024)092Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4088432026-05-22T06:33:51Z
dc.title.none.fl_str_mv Global anomalies & bordism of non-supersymmetric strings
title Global anomalies & bordism of non-supersymmetric strings
spellingShingle Global anomalies & bordism of non-supersymmetric strings
Basile, I.
String and Brane Phenomenology
Superstrings and Heterotic Strings
title_short Global anomalies & bordism of non-supersymmetric strings
title_full Global anomalies & bordism of non-supersymmetric strings
title_fullStr Global anomalies & bordism of non-supersymmetric strings
title_full_unstemmed Global anomalies & bordism of non-supersymmetric strings
title_sort Global anomalies & bordism of non-supersymmetric strings
dc.creator.none.fl_str_mv Basile, I.
Debray, A.
Molina Delgado, M. Teresa
Montero, M.
author Basile, I.
author_facet Basile, I.
Debray, A.
Molina Delgado, M. Teresa
Montero, M.
author_role author
author2 Debray, A.
Molina Delgado, M. Teresa
Montero, M.
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv String and Brane Phenomenology
Superstrings and Heterotic Strings
topic String and Brane Phenomenology
Superstrings and Heterotic Strings
description The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been shown to be fully consistent; although local anomalies cancel due to versions of the Green-Schwarz mechanism, there could be global anomalies, not cancelled by the Green-Schwarz mechanism, that could become fatal pathologies. We compute the twisted string bordism groups that control these anomalies via the Adams spectral sequence, showing that they vanish completely in two out of three cases (Sugimoto and SO(16)2) and showing a partial vanishing also in the third (Sagnotti 0’B model). We also compute lower-dimensional bordism groups of the non-supersymmetric string theories, which are of interest to the classification of branes in these theories via the Cobordism Conjecture. We propose a worldvolume content based on anomaly inflow for the SO(16)2 NS5-brane, and discuss subtleties related to the torsion part of the Bianchi identity. As a byproduct of our techniques and analysis, we also reprove that the outer ℤ<inf>2</inf> automorphism swapping the two E<inf>8</inf> factors in the supersymmetric heterotic string is also non-anomalous. © The Author(s) 2024.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/408843
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185674128&doi=10.1007%2FJHEP02%282024%29092&partnerID=40&md5=32adf976f86c1377807da92c2dfd1b7b
url http://hdl.handle.net/10261/408843
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185674128&doi=10.1007%2FJHEP02%282024%29092&partnerID=40&md5=32adf976f86c1377807da92c2dfd1b7b
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1007/JHEP02(2024)092
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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