On induced action for conformal higher spins in curved background
We continue the investigation of the structure of the action for a tower of conformal higher spin fields in non-trivial 4d background metric recently discussed in Grigoriev and Tseytlin (2016) [15]. The action is defined as an induced one from path integral of a conformal scalar field in curved back...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-06-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317301141 |
| _version_ | 1819097236457390080 |
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| author | Matteo Beccaria Arkady A. Tseytlin |
| author_facet | Matteo Beccaria Arkady A. Tseytlin |
| author_sort | Matteo Beccaria |
| collection | DOAJ |
| description | We continue the investigation of the structure of the action for a tower of conformal higher spin fields in non-trivial 4d background metric recently discussed in Grigoriev and Tseytlin (2016) [15]. The action is defined as an induced one from path integral of a conformal scalar field in curved background coupled to higher spin fields. We analyze in detail the dependence of the quadratic part of the induced action on the spin 1 and spin 3 fields, determining the presence of a curvature-dependent mixed spin 1–3 term. One consequence is that the pure spin 3 kinetic term cannot be gauge-invariant on its own beyond the leading term in small curvature expansion. We also compute the non-zero contribution of the 1–3 mixing term to the conformal anomaly c-coefficient. One is thus to determine all such mixing terms before addressing the question of possible vanishing of the total c-coefficient in the conformal higher spin theory. |
| first_indexed | 2024-12-22T00:11:53Z |
| format | Article |
| id | doaj.art-2799f37175664564ac06c8345955e4f1 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-22T00:11:53Z |
| publishDate | 2017-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-2799f37175664564ac06c8345955e4f12022-12-21T18:45:25ZengElsevierNuclear Physics B0550-32131873-15622017-06-01919C35938310.1016/j.nuclphysb.2017.03.022On induced action for conformal higher spins in curved backgroundMatteo Beccaria0Arkady A. Tseytlin1Dipartimento di Matematica e Fisica Ennio De Giorgi, Università del Salento & INFN, Via Arnesano, 73100 Lecce, ItalyThe Blackett Laboratory, Imperial College, London SW7 2AZ, UKWe continue the investigation of the structure of the action for a tower of conformal higher spin fields in non-trivial 4d background metric recently discussed in Grigoriev and Tseytlin (2016) [15]. The action is defined as an induced one from path integral of a conformal scalar field in curved background coupled to higher spin fields. We analyze in detail the dependence of the quadratic part of the induced action on the spin 1 and spin 3 fields, determining the presence of a curvature-dependent mixed spin 1–3 term. One consequence is that the pure spin 3 kinetic term cannot be gauge-invariant on its own beyond the leading term in small curvature expansion. We also compute the non-zero contribution of the 1–3 mixing term to the conformal anomaly c-coefficient. One is thus to determine all such mixing terms before addressing the question of possible vanishing of the total c-coefficient in the conformal higher spin theory.http://www.sciencedirect.com/science/article/pii/S0550321317301141 |
| spellingShingle | Matteo Beccaria Arkady A. Tseytlin On induced action for conformal higher spins in curved background Nuclear Physics B |
| title | On induced action for conformal higher spins in curved background |
| title_full | On induced action for conformal higher spins in curved background |
| title_fullStr | On induced action for conformal higher spins in curved background |
| title_full_unstemmed | On induced action for conformal higher spins in curved background |
| title_short | On induced action for conformal higher spins in curved background |
| title_sort | on induced action for conformal higher spins in curved background |
| url | http://www.sciencedirect.com/science/article/pii/S0550321317301141 |
| work_keys_str_mv | AT matteobeccaria oninducedactionforconformalhigherspinsincurvedbackground AT arkadyatseytlin oninducedactionforconformalhigherspinsincurvedbackground |