Giacomo Cacciapaglia, Alan S. Cornell, Aldo Deandrea, Wanda Isnard, Roman Pasechnik, Anca Preda, Zhi-Wei Wang
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We consider <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>SU</g:mi><g:mo stretchy=\"false\">(</g:mo><g:mi>N</g:mi><g:mo stretchy=\"false\">)</g:mo></g:math>, <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>Sp</k:mi><k:mo stretchy=\"false\">(</k:mo><k:mi>N</k:mi><k:mo stretchy=\"false\">)</k:mo></k:math>, <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>SO</o:mi><o:mo stretchy=\"false\">(</o:mo><o:mn>2</o:mn><o:mi>N</o:mi><o:mo stretchy=\"false\">)</o:mo></o:math>, and <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>SO</s:mi><s:mo stretchy=\"false\">(</s:mo><s:mn>2</s:mn><s:mi>N</s:mi><s:mo>+</s:mo><s:mn>1</s:mn><s:mo stretchy=\"false\">)</s:mo></s:math> theories in the bulk, and provide an exhaustive classification of possible parity assignments that lead to stable orbifolds and of the corresponding symmetry breaking patterns. We use these results in the search for viable asymptotic grand unification theories (aGUT), testing the stability criteria on models based on SU(6) and SU(8). As a result, we identify two viable aGUTs: a unique SU(6) pathway down to the Standard Model, and one SU(8) model leading to an intermediate Pati-Salam partial unification. <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":"26 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General vacuum stability of orbifold gauge breaking and application to asymptotic grand unification\",\"authors\":\"Giacomo Cacciapaglia, Alan S. Cornell, Aldo Deandrea, Wanda Isnard, Roman Pasechnik, Anca Preda, Zhi-Wei Wang\",\"doi\":\"10.1103/physrevd.111.095013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We examine the vacuum stability of gauge symmetry breaking in five dimensions, compactified on the S</a:mi></a:mrow>1</a:mn></a:mrow></a:msub>/</a:mo>(</a:mo>Z</a:mi></a:mrow>2</a:mn></a:mrow></a:msub>×</a:mo>Z</a:mi></a:mrow>2</a:mn></a:mrow>′</a:mo></a:mrow></a:msubsup>)</a:mo></a:mrow></a:math> orbifold. We consider <g:math xmlns:g=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><g:mi>SU</g:mi><g:mo stretchy=\\\"false\\\">(</g:mo><g:mi>N</g:mi><g:mo stretchy=\\\"false\\\">)</g:mo></g:math>, <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>Sp</k:mi><k:mo stretchy=\\\"false\\\">(</k:mo><k:mi>N</k:mi><k:mo stretchy=\\\"false\\\">)</k:mo></k:math>, <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mi>SO</o:mi><o:mo stretchy=\\\"false\\\">(</o:mo><o:mn>2</o:mn><o:mi>N</o:mi><o:mo stretchy=\\\"false\\\">)</o:mo></o:math>, and <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mi>SO</s:mi><s:mo stretchy=\\\"false\\\">(</s:mo><s:mn>2</s:mn><s:mi>N</s:mi><s:mo>+</s:mo><s:mn>1</s:mn><s:mo stretchy=\\\"false\\\">)</s:mo></s:math> theories in the bulk, and provide an exhaustive classification of possible parity assignments that lead to stable orbifolds and of the corresponding symmetry breaking patterns. We use these results in the search for viable asymptotic grand unification theories (aGUT), testing the stability criteria on models based on SU(6) and SU(8). As a result, we identify two viable aGUTs: a unique SU(6) pathway down to the Standard Model, and one SU(8) model leading to an intermediate Pati-Salam partial unification. <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\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-05-12\",\"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.111.095013\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.095013","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}
General vacuum stability of orbifold gauge breaking and application to asymptotic grand unification
We examine the vacuum stability of gauge symmetry breaking in five dimensions, compactified on the S1/(Z2×Z2′) orbifold. We consider SU(N), Sp(N), SO(2N), and SO(2N+1) theories in the bulk, and provide an exhaustive classification of possible parity assignments that lead to stable orbifolds and of the corresponding symmetry breaking patterns. We use these results in the search for viable asymptotic grand unification theories (aGUT), testing the stability criteria on models based on SU(6) and SU(8). As a result, we identify two viable aGUTs: a unique SU(6) pathway down to the Standard Model, and one SU(8) model leading to an intermediate Pati-Salam partial unification. 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.