On spin three self interactions

Berends, F.A.; Burgers, Gerrit; Dam, H. van

doi:10.1007/bf01410362

Cited by 176 publications

(262 citation statements)

References 2 publications

Supporting

Mentioning

253

Contrasting

Order By: Relevance

“…We have thus proved by a new method that the spin-3 vertex of [6] is the only consistent nontrivial first-order deformation of the free spin-3 theory with at most 7 three derivatives in the Lagrangian, modulo deformationsā 0 of the latter that are gauge-invariant up to a total derivative, i.e. such that γā 0 + db 0 = 0 .…”

Section: Jhep01(2006)052mentioning

confidence: 99%

“…For example, spin-3 cubic vertices containing more than 3 derivatives were not considered in the otherwise very general analysis of [6]. This ansatz was too restrictive since another cubic vertex with five derivatives exists in dimensions higher than four (it is written explicitly in Appendix B).…”

Section: Jhep01(2006)052mentioning

confidence: 99%

“…The first-order covariant cubic deformation S bc a [h d µνρ ] is the Berends-Burgers-van Dam vertex [6] (reviewed for completeness in Appendix A) while the other cubic deformation…”

Section: Theoremmentioning

confidence: 99%

“…three and five derivatives. The first kind of deformation (three derivatives) was studied in [6], however the case with five derivatives has never explicitly been considered before in flat space-time analyzes.…”

Section: Jhep01(2006)052mentioning

confidence: 99%

See 3 more Smart Citations

Spin three gauge theory revisited

Bekaert

Boulanger

Cnockaert

2006

J. High Energy Phys.

105

View full text Add to dashboard Cite

Abstract:We study the problem of consistent interactions for spin-3 gauge fields in flat spacetime of arbitrary dimension n > 3. Under the sole assumptions of Poincaré and parity invariance, local and perturbative deformation of the free theory, we determine all nontrivial consistent deformations of the abelian gauge algebra and classify the corresponding deformations of the quadratic action, at first order in the deformation parameter. We prove that all such vertices are cubic, contain a total of either three or five derivatives and are uniquely characterized by a rank-three constant tensor (an internal algebra structure constant). The covariant cubic vertex containing three derivatives is the vertex discovered by Berends, Burgers and van Dam, which however leads to inconsistencies at second order in the deformation parameter. In dimensions n > 4 and for a completely antisymmetric structure constant tensor, another covariant cubic vertex exists, which contains five derivatives and passes the consistency test where the previous vertex failed.

show abstract

Section: Jhep01(2006)052mentioning

confidence: 99%

Section: Jhep01(2006)052mentioning

confidence: 99%

“…The first-order covariant cubic deformation S bc a [h d µνρ ] is the Berends-Burgers-van Dam vertex [6] (reviewed for completeness in Appendix A) while the other cubic deformation…”

Section: Theoremmentioning

confidence: 99%

Section: Jhep01(2006)052mentioning

confidence: 99%

See 2 more Smart Citations

Spin three gauge theory revisited

Bekaert

Boulanger

Cnockaert

2006

J. High Energy Phys.

105

View full text Add to dashboard Cite

show abstract

“…Theories involving one or several spin-two fields have raised a constant interest over the last thirty years, especially at the level of direct or intermediated graviton interactions [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]. In this context more results on the impossibility of consistent cross-couplings among different gravitons have been obtained, either without other fields [14] or in the presence of a scalar field [14], a Dirac spinor [15], or respectively of a massive Rarita-Schwinger field [16].…”

Section: Introductionmentioning

confidence: 99%

Interactions for a collection of spin-two fields intermediated by a massless p-form

et al. 2008

View full text Add to dashboard Cite

Under the general hypotheses of locality, smoothness of interactions in the coupling constant, Poincaré invariance, Lorentz covariance, and preservation of the number of derivatives on each field, we investigate the cross-couplings of one or several spin-two fields to a massless p-form. Two complementary cases arise. The first case is related to the standard interactions from General Relativity, but the second case describes a new, special type of couplings in D = p + 2 spacetime dimensions, which break the PT-invariance. Nevertheless, no consistent, indirect cross-interactions among different gravitons with a positively defined metric in internal space can be constructed.

show abstract