Aspects of three-dimensional spin-4 gravity
A bstract We discuss some interesting holographical aspects of three dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, ) × SL(4, ) Chern-Simons theory. Using a recently found technique, we construct explicitly a solution that can be interpreted as spin-4...
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| creator | Tan, Hai Siong |
| description | A
bstract
We discuss some interesting holographical aspects of three dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4,
) × SL(4,
) Chern-Simons theory. Using a recently found technique, we construct explicitly a solution that can be interpreted as spin-4 generalization of the BTZ solution, and demonstrate how
symmetry and the higher-spin Ward identities arise from the bulk equations of motion coupled to spin-3 and spin-4 currents. We match the eigenvalues of a Wilson loop along the time-like direction of the BTZ to that of the spin-4 solution, and show that this yields remarkably consistent gravitational thermodynamics for the latter. This furnishes an important, concrete supporting example for a recent proposal to understand spacetime geometries in three-dimensional higher-spin gravity formulated via SL(N,
) × SL(N,
) Chern-Simons theories. |
| doi_str_mv | 10.1007/JHEP02(2012)035 |
| format | Article |
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bstract
We discuss some interesting holographical aspects of three dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4,
) × SL(4,
) Chern-Simons theory. Using a recently found technique, we construct explicitly a solution that can be interpreted as spin-4 generalization of the BTZ solution, and demonstrate how
symmetry and the higher-spin Ward identities arise from the bulk equations of motion coupled to spin-3 and spin-4 currents. We match the eigenvalues of a Wilson loop along the time-like direction of the BTZ to that of the spin-4 solution, and show that this yields remarkably consistent gravitational thermodynamics for the latter. This furnishes an important, concrete supporting example for a recent proposal to understand spacetime geometries in three-dimensional higher-spin gravity formulated via SL(N,
) × SL(N,
) Chern-Simons theories.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP02(2012)035</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algebra ; Black holes ; Classical and Quantum Gravitation ; Cosmological constant ; Eigenvalues ; Elementary Particles ; Equations of motion ; Field theory (physics) ; Gravitation ; Gravity ; High energy physics ; Identities ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quantum theory ; Relativity Theory ; Spacetime ; String Theory ; Symmetry</subject><ispartof>The journal of high energy physics, 2012-02, Vol.2012 (2), Article 35</ispartof><rights>SISSA, Trieste, Italy 2012</rights><rights>SISSA, Trieste, Italy 2012.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c356t-c6b63c366f221244421dc4b08113c28eb30ebd8deffc96644a04d74bb15aa9293</citedby><cites>FETCH-LOGICAL-c356t-c6b63c366f221244421dc4b08113c28eb30ebd8deffc96644a04d74bb15aa9293</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP02(2012)035$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/JHEP02(2012)035$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41120,41488,42189,42557,51319,51576</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP02(2012)035$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Tan, Hai Siong</creatorcontrib><title>Aspects of three-dimensional spin-4 gravity</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We discuss some interesting holographical aspects of three dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4,
) × SL(4,
) Chern-Simons theory. Using a recently found technique, we construct explicitly a solution that can be interpreted as spin-4 generalization of the BTZ solution, and demonstrate how
symmetry and the higher-spin Ward identities arise from the bulk equations of motion coupled to spin-3 and spin-4 currents. We match the eigenvalues of a Wilson loop along the time-like direction of the BTZ to that of the spin-4 solution, and show that this yields remarkably consistent gravitational thermodynamics for the latter. This furnishes an important, concrete supporting example for a recent proposal to understand spacetime geometries in three-dimensional higher-spin gravity formulated via SL(N,
) × SL(N,
) Chern-Simons theories.</description><subject>Algebra</subject><subject>Black holes</subject><subject>Classical and Quantum Gravitation</subject><subject>Cosmological constant</subject><subject>Eigenvalues</subject><subject>Elementary Particles</subject><subject>Equations of motion</subject><subject>Field theory (physics)</subject><subject>Gravitation</subject><subject>Gravity</subject><subject>High energy physics</subject><subject>Identities</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Quantum theory</subject><subject>Relativity Theory</subject><subject>Spacetime</subject><subject>String Theory</subject><subject>Symmetry</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kM9LwzAYhoMoOKdnrwUvisR9-dE0OY4xnTLQg55DkiazY2tr0g3239tRQS-evvfwPi8fD0LXBB4IQDF5WczfgN5SIPQOWH6CRgSowpIX6vRPPkcXKa0BSE4UjND9NLXedSlrQtZ9Ru9xWW19naqmNpsstVWNebaKZl91h0t0Fswm-aufO0Yfj_P32QIvX5-eZ9MldiwXHXbCCuaYEIFSQjnnlJSOW5CEMEeltwy8LWXpQ3BKCM4N8LLg1pLcGEUVG6ObYbeNzdfOp06vm13s_0maMiUZ5Xku-9ZkaLnYpBR90G2stiYeNAF9NKIHI_poRPdGegIGIvXNeuXj7-5_yDcz22Dg</recordid><startdate>20120201</startdate><enddate>20120201</enddate><creator>Tan, Hai Siong</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20120201</creationdate><title>Aspects of three-dimensional spin-4 gravity</title><author>Tan, Hai Siong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c356t-c6b63c366f221244421dc4b08113c28eb30ebd8deffc96644a04d74bb15aa9293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Algebra</topic><topic>Black holes</topic><topic>Classical and Quantum Gravitation</topic><topic>Cosmological constant</topic><topic>Eigenvalues</topic><topic>Elementary Particles</topic><topic>Equations of motion</topic><topic>Field theory (physics)</topic><topic>Gravitation</topic><topic>Gravity</topic><topic>High energy physics</topic><topic>Identities</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Quantum theory</topic><topic>Relativity Theory</topic><topic>Spacetime</topic><topic>String Theory</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tan, Hai Siong</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tan, Hai Siong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Aspects of three-dimensional spin-4 gravity</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2012-02-01</date><risdate>2012</risdate><volume>2012</volume><issue>2</issue><artnum>35</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We discuss some interesting holographical aspects of three dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4,
) × SL(4,
) Chern-Simons theory. Using a recently found technique, we construct explicitly a solution that can be interpreted as spin-4 generalization of the BTZ solution, and demonstrate how
symmetry and the higher-spin Ward identities arise from the bulk equations of motion coupled to spin-3 and spin-4 currents. We match the eigenvalues of a Wilson loop along the time-like direction of the BTZ to that of the spin-4 solution, and show that this yields remarkably consistent gravitational thermodynamics for the latter. This furnishes an important, concrete supporting example for a recent proposal to understand spacetime geometries in three-dimensional higher-spin gravity formulated via SL(N,
) × SL(N,
) Chern-Simons theories.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP02(2012)035</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| subjects | Algebra Black holes Classical and Quantum Gravitation Cosmological constant Eigenvalues Elementary Particles Equations of motion Field theory (physics) Gravitation Gravity High energy physics Identities Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quantum theory Relativity Theory Spacetime String Theory Symmetry |
| title | Aspects of three-dimensional spin-4 gravity |
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