Supersymmetry in the Seiberg–Witten theory: a window into quantum field theory.
We take supersymmetry in the Seiberg–Witten theory as a case study of the uses of (super)symmetry arguments in studying the ontology of four-dimensional interacting quantum field theories. Together with a double expansion, supersymmetry is a via media that helps to bridge the gap between the ontolog...
| Publicado en: | Synthese Vol. 205; no. 2; pp. 1 - 25 |
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| Autores principales: | , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Feb2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=182805069&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 182805069 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Feb2025 vid: 205 iid: 2 pid: 237 pub: Springer Nature artinfo: ui: 182805069 10.1007/s11229-024-04882-8 ppf: 1 ppct: 24 formats: fmt: – @attributes: type: T – @attributes: type: P size: 1.9MB tig: atl: Supersymmetry in the Seiberg–Witten theory: a window into quantum field theory. aug: au: Vergouwen, Sanne De Haro, Sebastian affil: https://ror.org/04pp8hn57 Freudenthal Institute, Utrecht University, Utrecht, Netherlands https://ror.org/04dkp9463 Institute for Logic, Language and Computation and Institute of Physics, University of Amsterdam, Amsterdam, Netherlands sug: keyword: Mathematical Sciences Pure Mathematics ab: We take supersymmetry in the Seiberg–Witten theory as a case study of the uses of (super)symmetry arguments in studying the ontology of four-dimensional interacting quantum field theories. Together with a double expansion, supersymmetry is a via media that helps to bridge the gap between the ontologies of an exact quantum field theory and its semi-classical limit. We discuss a class of states that exist at any value of the coupling, and whose properties such as mass, electric and magnetic charges, and spin quantum numbers can be precisely characterised at low energies. The low-energy theory is best presented as a one-dimensional complex manifold, equipped with metric and other structures: namely, the space of low-energy vacua, covered by three open regions that are interpreted as macroscopic phases. We discuss two cases of emergence: the emergence of the low-energy regime and the emergence between models at low energies, thereby highlighting the significance of the topology of the space of vacua for such cases of emergence. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2025. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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