Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory
A bstract We construct exceptional field theory for the duality group SL(3) × SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely...
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| Veröffentlicht in: | The journal of high energy physics 2015-04, Vol.2015 (4), p.1, Article 50 |
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| creator | Hohm, Olaf Wang, Yi-Nan |
| description | A
bstract
We construct exceptional field theory for the duality group SL(3) × SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full
D
= 11 or type IIB supergravity, respectively. |
| doi_str_mv | 10.1007/JHEP04(2015)050 |
| format | Article |
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bstract
We construct exceptional field theory for the duality group SL(3) × SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full
D
= 11 or type IIB supergravity, respectively.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP04(2015)050</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2015-04, Vol.2015 (4), p.1, Article 50</ispartof><rights>The Author(s) 2015</rights><rights>SISSA, Trieste, Italy 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3320-f960175c59a1bc41959afdd87842883ad58a7e75b85ff646bc2ee63a6a0bf4ae3</citedby><cites>FETCH-LOGICAL-c3320-f960175c59a1bc41959afdd87842883ad58a7e75b85ff646bc2ee63a6a0bf4ae3</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/JHEP04(2015)050$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP04(2015)050$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27924,27925,41120,42189,51576</link.rule.ids></links><search><creatorcontrib>Hohm, Olaf</creatorcontrib><creatorcontrib>Wang, Yi-Nan</creatorcontrib><title>Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We construct exceptional field theory for the duality group SL(3) × SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full
D
= 11 or type IIB supergravity, respectively.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kD1PwzAQhi0EEqUws1piaYfQc77sjKhqKagSSJSJwXKcc5sqJMVOJMof4Qfxx3AVhi5M9570vKfTQ8g1g1sGwCePi9kzxKMQWDKGBE7IgEGYBSLm2elRPicXzm3BUyyDAXlbYe0aSzclWmX1Zk9VXdA11n6tyi8s6FTZVtVUq0p3VedoWdOX5Sga05_vQwjHFD817tqyqVVFTYlVQdsNNnZ_Sc6Mqhxe_c0heZ3PVtNFsHy6f5jeLQMdRSEEJkuB8UQnmWK5jlnmgykKwUUcChGpIhGKI09ykRiTxmmuQ8Q0UqmC3MQKoyG56e_ubPPRoWvltums_8ZJxkFAyAXPPDXpKW0b5ywaubPlu7J7yUAeDMreoDwYlN6gb0DfcJ6s12iP7v5T-QU15XIY</recordid><startdate>20150401</startdate><enddate>20150401</enddate><creator>Hohm, Olaf</creator><creator>Wang, Yi-Nan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><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>20150401</creationdate><title>Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory</title><author>Hohm, Olaf ; Wang, Yi-Nan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3320-f960175c59a1bc41959afdd87842883ad58a7e75b85ff646bc2ee63a6a0bf4ae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hohm, Olaf</creatorcontrib><creatorcontrib>Wang, Yi-Nan</creatorcontrib><collection>Springer Nature OA Free Journals</collection><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</fulltext></delivery><addata><au>Hohm, Olaf</au><au>Wang, Yi-Nan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2015-04-01</date><risdate>2015</risdate><volume>2015</volume><issue>4</issue><spage>1</spage><pages>1-</pages><artnum>50</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We construct exceptional field theory for the duality group SL(3) × SL(2). The theory is defined on a space with 8 ‘external’ coordinates and 6 ‘internal’ coordinates in the (3, 2) fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full
D
= 11 or type IIB supergravity, respectively.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP04(2015)050</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Springer Nature OA Free Journals; Alma/SFX Local Collection |
| subjects | Classical and Quantum Gravitation Elementary Particles High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory |
| title | Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory |
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