{"title":"物质耦合F(4)测量超重力的Janus和rg流界面","authors":"Parinya Karndumri","doi":"10.1103/physrevd.111.026013","DOIUrl":null,"url":null,"abstract":"We study supersymmetric Janus solutions from matter-coupled F</a:mi>(</a:mo>4</a:mn>)</a:mo></a:math> gauged supergravity coupled to three vector multiplets and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>4</e:mn><e:mo stretchy=\"false\">)</e:mo><e:mo>∼</e:mo><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>3</e:mn><e:mo stretchy=\"false\">)</e:mo><e:mo>×</e:mo><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>3</e:mn><e:mo stretchy=\"false\">)</e:mo></e:math> gauge group. There are two supersymmetric <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:msub><m:mi>AdS</m:mi><m:mn>6</m:mn></m:msub></m:math> vacua preserving all supersymmetries with <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>S</o:mi><o:mi>O</o:mi><o:mo stretchy=\"false\">(</o:mo><o:mn>3</o:mn><o:mo stretchy=\"false\">)</o:mo><o:mo>×</o:mo><o:mi>S</o:mi><o:mi>O</o:mi><o:mo stretchy=\"false\">(</o:mo><o:mn>3</o:mn><o:mo stretchy=\"false\">)</o:mo></o:math> and <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi>S</u:mi><u:mi>O</u:mi><u:mo stretchy=\"false\">(</u:mo><u:mn>3</u:mn><u:msub><u:mo stretchy=\"false\">)</u:mo><u:mrow><u:mi>diag</u:mi></u:mrow></u:msub></u:math> symmetries dual to <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi>N</y:mi><y:mo>=</y:mo><y:mn>2</y:mn></y:math> superconformal field theories (SCFTs) in five dimensions. We consider a truncation to S</ab:mi>O</ab:mi>(</ab:mo>2</ab:mn>)</ab:mo>diag</ab:mi></ab:mrow></ab:msub>⊂</ab:mo>S</ab:mi>O</ab:mi>(</ab:mo>3</ab:mn>)</ab:mo>diag</ab:mi></ab:mrow></ab:msub></ab:math> singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographically describe conformal interfaces within <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mi>N</gb:mi><gb:mo>=</gb:mo><gb:mn>2</gb:mn></gb:math> five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between <ib:math xmlns:ib=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ib:mi>S</ib:mi><ib:mi>O</ib:mi><ib:mo stretchy=\"false\">(</ib:mo><ib:mn>3</ib:mn><ib:mo stretchy=\"false\">)</ib:mo><ib:mo>×</ib:mo><ib:mi>S</ib:mi><ib:mi>O</ib:mi><ib:mo stretchy=\"false\">(</ib:mo><ib:mn>3</ib:mn><ib:mo stretchy=\"false\">)</ib:mo></ib:math> <ob:math xmlns:ob=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ob:msub><ob:mi>AdS</ob:mi><ob:mn>6</ob:mn></ob:msub></ob:math> vacua, some of the solutions have <qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:mi>S</qb:mi><qb:mi>O</qb:mi><qb:mo stretchy=\"false\">(</qb:mo><qb:mn>3</qb:mn><qb:msub><qb:mo stretchy=\"false\">)</qb:mo><qb:mrow><qb:mi>diag</qb:mi></qb:mrow></qb:msub></qb:math> <ub:math xmlns:ub=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ub:msub><ub:mi>AdS</ub:mi><ub:mn>6</ub:mn></ub:msub></ub:math> vacua generated by holographic renormalization group (RG) flows from the <wb:math xmlns:wb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><wb:mi>S</wb:mi><wb:mi>O</wb:mi><wb:mo stretchy=\"false\">(</wb:mo><wb:mn>3</wb:mn><wb:mo stretchy=\"false\">)</wb:mo><wb:mo>×</wb:mo><wb:mi>S</wb:mi><wb:mi>O</wb:mi><wb:mo stretchy=\"false\">(</wb:mo><wb:mn>3</wb:mn><wb:mo stretchy=\"false\">)</wb:mo></wb:math> phases on both sides. We also give evidence for solutions describing RG-flow interfaces with a <cc:math xmlns:cc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cc:mi>S</cc:mi><cc:mi>O</cc:mi><cc:mo stretchy=\"false\">(</cc:mo><cc:mn>3</cc:mn><cc:mo stretchy=\"false\">)</cc:mo><cc:mo>×</cc:mo><cc:mi>S</cc:mi><cc:mi>O</cc:mi><cc:mo stretchy=\"false\">(</cc:mo><cc:mn>3</cc:mn><cc:mo stretchy=\"false\">)</cc:mo></cc:math> <ic:math xmlns:ic=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ic:msub><ic:mi>AdS</ic:mi><ic:mn>6</ic:mn></ic:msub></ic:math> vacuum on one side and <kc:math xmlns:kc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><kc:mi>S</kc:mi><kc:mi>O</kc:mi><kc:mo stretchy=\"false\">(</kc:mo><kc:mn>3</kc:mn><kc:msub><kc:mo stretchy=\"false\">)</kc:mo><kc:mrow><kc:mi>diag</kc:mi></kc:mrow></kc:msub></kc:math> <oc:math xmlns:oc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><oc:msub><oc:mi>AdS</oc:mi><oc:mn>6</oc:mn></oc:msub></oc:math> vacuum on the other side. The solutions provide first examples of Janus solutions involving more than one <qc:math xmlns:qc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qc:msub><qc:mi>AdS</qc:mi><qc:mn>6</qc:mn></qc:msub></qc:math> vacuum in six-dimensional gauged supergravity. <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":"30 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity\",\"authors\":\"Parinya Karndumri\",\"doi\":\"10.1103/physrevd.111.026013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study supersymmetric Janus solutions from matter-coupled F</a:mi>(</a:mo>4</a:mn>)</a:mo></a:math> gauged supergravity coupled to three vector multiplets and <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>4</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo><e:mo>∼</e:mo><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>3</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo><e:mo>×</e:mo><e:mi>S</e:mi><e:mi>O</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>3</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo></e:math> gauge group. There are two supersymmetric <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:msub><m:mi>AdS</m:mi><m:mn>6</m:mn></m:msub></m:math> vacua preserving all supersymmetries with <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mi>S</o:mi><o:mi>O</o:mi><o:mo stretchy=\\\"false\\\">(</o:mo><o:mn>3</o:mn><o:mo stretchy=\\\"false\\\">)</o:mo><o:mo>×</o:mo><o:mi>S</o:mi><o:mi>O</o:mi><o:mo stretchy=\\\"false\\\">(</o:mo><o:mn>3</o:mn><o:mo stretchy=\\\"false\\\">)</o:mo></o:math> and <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:mi>S</u:mi><u:mi>O</u:mi><u:mo stretchy=\\\"false\\\">(</u:mo><u:mn>3</u:mn><u:msub><u:mo stretchy=\\\"false\\\">)</u:mo><u:mrow><u:mi>diag</u:mi></u:mrow></u:msub></u:math> symmetries dual to <y:math xmlns:y=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><y:mi>N</y:mi><y:mo>=</y:mo><y:mn>2</y:mn></y:math> superconformal field theories (SCFTs) in five dimensions. We consider a truncation to S</ab:mi>O</ab:mi>(</ab:mo>2</ab:mn>)</ab:mo>diag</ab:mi></ab:mrow></ab:msub>⊂</ab:mo>S</ab:mi>O</ab:mi>(</ab:mo>3</ab:mn>)</ab:mo>diag</ab:mi></ab:mrow></ab:msub></ab:math> singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographically describe conformal interfaces within <gb:math xmlns:gb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><gb:mi>N</gb:mi><gb:mo>=</gb:mo><gb:mn>2</gb:mn></gb:math> five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between <ib:math xmlns:ib=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ib:mi>S</ib:mi><ib:mi>O</ib:mi><ib:mo stretchy=\\\"false\\\">(</ib:mo><ib:mn>3</ib:mn><ib:mo stretchy=\\\"false\\\">)</ib:mo><ib:mo>×</ib:mo><ib:mi>S</ib:mi><ib:mi>O</ib:mi><ib:mo stretchy=\\\"false\\\">(</ib:mo><ib:mn>3</ib:mn><ib:mo stretchy=\\\"false\\\">)</ib:mo></ib:math> <ob:math xmlns:ob=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ob:msub><ob:mi>AdS</ob:mi><ob:mn>6</ob:mn></ob:msub></ob:math> vacua, some of the solutions have <qb:math xmlns:qb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><qb:mi>S</qb:mi><qb:mi>O</qb:mi><qb:mo stretchy=\\\"false\\\">(</qb:mo><qb:mn>3</qb:mn><qb:msub><qb:mo stretchy=\\\"false\\\">)</qb:mo><qb:mrow><qb:mi>diag</qb:mi></qb:mrow></qb:msub></qb:math> <ub:math xmlns:ub=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ub:msub><ub:mi>AdS</ub:mi><ub:mn>6</ub:mn></ub:msub></ub:math> vacua generated by holographic renormalization group (RG) flows from the <wb:math xmlns:wb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><wb:mi>S</wb:mi><wb:mi>O</wb:mi><wb:mo stretchy=\\\"false\\\">(</wb:mo><wb:mn>3</wb:mn><wb:mo stretchy=\\\"false\\\">)</wb:mo><wb:mo>×</wb:mo><wb:mi>S</wb:mi><wb:mi>O</wb:mi><wb:mo stretchy=\\\"false\\\">(</wb:mo><wb:mn>3</wb:mn><wb:mo stretchy=\\\"false\\\">)</wb:mo></wb:math> phases on both sides. We also give evidence for solutions describing RG-flow interfaces with a <cc:math xmlns:cc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><cc:mi>S</cc:mi><cc:mi>O</cc:mi><cc:mo stretchy=\\\"false\\\">(</cc:mo><cc:mn>3</cc:mn><cc:mo stretchy=\\\"false\\\">)</cc:mo><cc:mo>×</cc:mo><cc:mi>S</cc:mi><cc:mi>O</cc:mi><cc:mo stretchy=\\\"false\\\">(</cc:mo><cc:mn>3</cc:mn><cc:mo stretchy=\\\"false\\\">)</cc:mo></cc:math> <ic:math xmlns:ic=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ic:msub><ic:mi>AdS</ic:mi><ic:mn>6</ic:mn></ic:msub></ic:math> vacuum on one side and <kc:math xmlns:kc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><kc:mi>S</kc:mi><kc:mi>O</kc:mi><kc:mo stretchy=\\\"false\\\">(</kc:mo><kc:mn>3</kc:mn><kc:msub><kc:mo stretchy=\\\"false\\\">)</kc:mo><kc:mrow><kc:mi>diag</kc:mi></kc:mrow></kc:msub></kc:math> <oc:math xmlns:oc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><oc:msub><oc:mi>AdS</oc:mi><oc:mn>6</oc:mn></oc:msub></oc:math> vacuum on the other side. The solutions provide first examples of Janus solutions involving more than one <qc:math xmlns:qc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><qc:msub><qc:mi>AdS</qc:mi><qc:mn>6</qc:mn></qc:msub></qc:math> vacuum in six-dimensional gauged supergravity. <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\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-01-15\",\"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.111.026013\",\"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.111.026013","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}
Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
We study supersymmetric Janus solutions from matter-coupled F(4) gauged supergravity coupled to three vector multiplets and SO(4)∼SO(3)×SO(3) gauge group. There are two supersymmetric AdS6 vacua preserving all supersymmetries with SO(3)×SO(3) and SO(3)diag symmetries dual to N=2 superconformal field theories (SCFTs) in five dimensions. We consider a truncation to SO(2)diag⊂SO(3)diag singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographically describe conformal interfaces within N=2 five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between SO(3)×SO(3)AdS6 vacua, some of the solutions have SO(3)diagAdS6 vacua generated by holographic renormalization group (RG) flows from the SO(3)×SO(3) phases on both sides. We also give evidence for solutions describing RG-flow interfaces with a SO(3)×SO(3)AdS6 vacuum on one side and SO(3)diagAdS6 vacuum on the other side. The solutions provide first examples of Janus solutions involving more than one AdS6 vacuum in six-dimensional gauged supergravity. 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:
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Lattice field theories, lattice QCD,
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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.
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