{"title":"S1×S5 上 IIB 型超引力的 N=4 , D=4 一致截断","authors":"Adolfo Guarino, Colin Sterckx, Mario Trigiante","doi":"10.1103/physrevd.111.046019","DOIUrl":null,"url":null,"abstract":"Fetching techniques from generalized geometry and exceptional field theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group G</a:mi></a:mrow>S</a:mi></a:mrow></a:msub>⊂</a:mo>E</a:mi></a:mrow>7</a:mn>(</a:mo>7</a:mn>)</a:mo></a:mrow></a:msub></a:mrow></a:math> can define a consistent truncation, even when <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:msub><h:mi mathvariant=\"normal\">G</h:mi><h:mi mathvariant=\"normal\">S</h:mi></h:msub></h:math> is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msup><l:mi mathvariant=\"normal\">S</l:mi><l:mn>1</l:mn></l:msup><l:mo>×</l:mo><l:msup><l:mi mathvariant=\"normal\">S</l:mi><l:mn>5</l:mn></l:msup></l:math> is shown to admit a consistent truncation to pure <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi mathvariant=\"script\">N</p:mi><p:mo>=</p:mo><p:mn>4</p:mn></p:math>, <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>D</s:mi><s:mo>=</s:mo><s:mn>4</s:mn></s:math> gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu, and Pope 25 years ago. <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":"36 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Consistent N=4 , D=4 truncation of type IIB supergravity on S1×S5\",\"authors\":\"Adolfo Guarino, Colin Sterckx, Mario Trigiante\",\"doi\":\"10.1103/physrevd.111.046019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fetching techniques from generalized geometry and exceptional field theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group G</a:mi></a:mrow>S</a:mi></a:mrow></a:msub>⊂</a:mo>E</a:mi></a:mrow>7</a:mn>(</a:mo>7</a:mn>)</a:mo></a:mrow></a:msub></a:mrow></a:math> can define a consistent truncation, even when <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:msub><h:mi mathvariant=\\\"normal\\\">G</h:mi><h:mi mathvariant=\\\"normal\\\">S</h:mi></h:msub></h:math> is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on <l:math xmlns:l=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><l:msup><l:mi mathvariant=\\\"normal\\\">S</l:mi><l:mn>1</l:mn></l:msup><l:mo>×</l:mo><l:msup><l:mi mathvariant=\\\"normal\\\">S</l:mi><l:mn>5</l:mn></l:msup></l:math> is shown to admit a consistent truncation to pure <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:mi mathvariant=\\\"script\\\">N</p:mi><p:mo>=</p:mo><p:mn>4</p:mn></p:math>, <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mi>D</s:mi><s:mo>=</s:mo><s:mn>4</s:mn></s:math> gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu, and Pope 25 years ago. <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\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-02-21\",\"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.111.046019\",\"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.111.046019","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}
Consistent N=4 , D=4 truncation of type IIB supergravity on S1×S5
Fetching techniques from generalized geometry and exceptional field theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group GS⊂E7(7) can define a consistent truncation, even when GS is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on S1×S5 is shown to admit a consistent truncation to pure N=4, D=4 gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu, and Pope 25 years ago. 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.