Spin-2 Twisted Duality in (A)dS
Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2018-11-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2018.00129/full |
| _version_ | 1819211746132361216 |
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| author | Nicolas Boulanger Andrea Campoleoni Andrea Campoleoni Ignacio Cortese Lucas Traina |
| author_facet | Nicolas Boulanger Andrea Campoleoni Andrea Campoleoni Ignacio Cortese Lucas Traina |
| author_sort | Nicolas Boulanger |
| collection | DOAJ |
| description | Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In the massless case, this limit reproduces the gravitational twisted-duality relations previously known for Minkowski spacetime. In the partially-massless case, our twisted-duality relations preserve the number of degrees of freedom in the flat limit, in the sense that they split into a decoupled pair of dualities for spin-1 and spin-2 fields. Our results apply to spacetimes of any dimension greater than three. In four dimensions, the twisted-duality relations for partially massless fields that appeared in the literature are recovered by gauging away the Stueckelberg field. |
| first_indexed | 2024-12-23T06:31:58Z |
| format | Article |
| id | doaj.art-450cc74121cd47a0a78037c2ba9e5465 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-23T06:31:58Z |
| publishDate | 2018-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-450cc74121cd47a0a78037c2ba9e54652022-12-21T17:56:54ZengFrontiers Media S.A.Frontiers in Physics2296-424X2018-11-01610.3389/fphy.2018.00129413586Spin-2 Twisted Duality in (A)dSNicolas Boulanger0Andrea Campoleoni1Andrea Campoleoni2Ignacio Cortese3Lucas Traina4Service de Physique de l'Univers, Champs et Gravitation, Université de Mons, Mons, BelgiumService de Physique de l'Univers, Champs et Gravitation, Université de Mons, Mons, BelgiumInstitut für Theoretische Physik, ETH Zurich, Zurich, SwitzerlandDepartamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de Mèxico, Ciudad de México, MexicoService de Physique de l'Univers, Champs et Gravitation, Université de Mons, Mons, BelgiumStarting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In the massless case, this limit reproduces the gravitational twisted-duality relations previously known for Minkowski spacetime. In the partially-massless case, our twisted-duality relations preserve the number of degrees of freedom in the flat limit, in the sense that they split into a decoupled pair of dualities for spin-1 and spin-2 fields. Our results apply to spacetimes of any dimension greater than three. In four dimensions, the twisted-duality relations for partially massless fields that appeared in the literature are recovered by gauging away the Stueckelberg field.https://www.frontiersin.org/article/10.3389/fphy.2018.00129/fullelectric-magnetic dualitydual gravitonStueckelberg formalismconstant curvature spacetimespartially massless fields |
| spellingShingle | Nicolas Boulanger Andrea Campoleoni Andrea Campoleoni Ignacio Cortese Lucas Traina Spin-2 Twisted Duality in (A)dS Frontiers in Physics electric-magnetic duality dual graviton Stueckelberg formalism constant curvature spacetimes partially massless fields |
| title | Spin-2 Twisted Duality in (A)dS |
| title_full | Spin-2 Twisted Duality in (A)dS |
| title_fullStr | Spin-2 Twisted Duality in (A)dS |
| title_full_unstemmed | Spin-2 Twisted Duality in (A)dS |
| title_short | Spin-2 Twisted Duality in (A)dS |
| title_sort | spin 2 twisted duality in a ds |
| topic | electric-magnetic duality dual graviton Stueckelberg formalism constant curvature spacetimes partially massless fields |
| url | https://www.frontiersin.org/article/10.3389/fphy.2018.00129/full |
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