Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
Recently proposed exceptional field theories (EFTs) making manifest the duality En(n) symmetry, first observed as nonlinearly realized symmetries of the maximal d=3,4,...,9 supergravity (n=11âd) and containing 11D and type IIB supergravity as sectors, were formulated in enlarged spacetimes. In the c...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131730322X |
| _version_ | 1811224777666330624 |
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| author | Igor Bandos |
| author_facet | Igor Bandos |
| author_sort | Igor Bandos |
| collection | DOAJ |
| description | Recently proposed exceptional field theories (EFTs) making manifest the duality En(n) symmetry, first observed as nonlinearly realized symmetries of the maximal d=3,4,...,9 supergravity (n=11âd) and containing 11D and type IIB supergravity as sectors, were formulated in enlarged spacetimes. In the case of E7(7) EFT such an enlarged spacetime can be identified with the bosonic body of the d=4 central charge superspace Σ(60|32), the N=8 d=4 superspace completed by 56 additional bosonic coordinates associated to central charges of the maximal d=4 supersymmetry algebra.In this paper we show how the hypothesis on the relation of all the known En(n) EFTs, including n=8, with supersymmetry leads to the conjecture on existence of 11D exceptional field theory living in 11D tensorial central charge superspace Σ(528|32) and underlying all the En(n) EFTs with n=2,...,8, and probably the double field theory (DFT). We conjecture the possible form of the section conditions of such an 11D EFT and show that quite generic solutions of these can be generated by superparticle models the ground states of which preserve from one half to all but one supersymmetry. The properties of these superparticle models are briefly discussed. We argue that, upon quantization, their quantum states should describe free massless non-conformal higher spin fields in D=11. We also discuss some relevant representations of the M-theory superalgebra which, in the present context, describes supersymmetry of the 11D EFT. |
| first_indexed | 2024-04-12T08:54:46Z |
| format | Article |
| id | doaj.art-4c962f21cde640cfbbe1cc9d94826907 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-12T08:54:46Z |
| publishDate | 2017-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4c962f21cde640cfbbe1cc9d948269072022-12-22T03:39:25ZengElsevierNuclear Physics B0550-32132017-12-019252862Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theoriesIgor Bandos0Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain; IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain; Correspondence to: Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain.Recently proposed exceptional field theories (EFTs) making manifest the duality En(n) symmetry, first observed as nonlinearly realized symmetries of the maximal d=3,4,...,9 supergravity (n=11âd) and containing 11D and type IIB supergravity as sectors, were formulated in enlarged spacetimes. In the case of E7(7) EFT such an enlarged spacetime can be identified with the bosonic body of the d=4 central charge superspace Σ(60|32), the N=8 d=4 superspace completed by 56 additional bosonic coordinates associated to central charges of the maximal d=4 supersymmetry algebra.In this paper we show how the hypothesis on the relation of all the known En(n) EFTs, including n=8, with supersymmetry leads to the conjecture on existence of 11D exceptional field theory living in 11D tensorial central charge superspace Σ(528|32) and underlying all the En(n) EFTs with n=2,...,8, and probably the double field theory (DFT). We conjecture the possible form of the section conditions of such an 11D EFT and show that quite generic solutions of these can be generated by superparticle models the ground states of which preserve from one half to all but one supersymmetry. The properties of these superparticle models are briefly discussed. We argue that, upon quantization, their quantum states should describe free massless non-conformal higher spin fields in D=11. We also discuss some relevant representations of the M-theory superalgebra which, in the present context, describes supersymmetry of the 11D EFT.http://www.sciencedirect.com/science/article/pii/S055032131730322X |
| spellingShingle | Igor Bandos Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories Nuclear Physics B |
| title | Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories |
| title_full | Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories |
| title_fullStr | Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories |
| title_full_unstemmed | Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories |
| title_short | Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories |
| title_sort | exceptional field theories superparticles in an enlarged 11d superspace and higher spin theories |
| url | http://www.sciencedirect.com/science/article/pii/S055032131730322X |
| work_keys_str_mv | AT igorbandos exceptionalfieldtheoriessuperparticlesinanenlarged11dsuperspaceandhigherspintheories |