Vasileios Basiouris, Miguel Crispim Romão, Stephen F. King, George K. Leontaris
{"title":"Modular family symmetry in fluxed GUTs","authors":"Vasileios Basiouris, Miguel Crispim Romão, Stephen F. King, George K. Leontaris","doi":"10.1103/physrevd.111.015012","DOIUrl":null,"url":null,"abstract":"We discuss modular family symmetry in effective theories based on generic properties of bottom-up local F-theory inspired grand unified theories (GUTs) broken by fluxes, which we refer to as fluxed GUTs. We argue that the Yukawa couplings will depend on the complex structure moduli of the matter curves in such a way that they can be modular forms associated with these symmetries. To illustrate the approach, we analyze in detail a concrete local fluxed S</a:mi>U</a:mi>(</a:mo>5</a:mn>)</a:mo></a:mrow></a:math> GUT with modular <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>S</e:mi><e:mn>4</e:mn></e:msub></e:math> family symmetry. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"37 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.015012","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We discuss modular family symmetry in effective theories based on generic properties of bottom-up local F-theory inspired grand unified theories (GUTs) broken by fluxes, which we refer to as fluxed GUTs. We argue that the Yukawa couplings will depend on the complex structure moduli of the matter curves in such a way that they can be modular forms associated with these symmetries. To illustrate the approach, we analyze in detail a concrete local fluxed SU(5) GUT with modular S4 family symmetry. Published by the American Physical Society2025
期刊介绍：
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
