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Vasiliev, Alexander; Zakharov, R. A.; Orlikovsky, A. A.; Horin, I. A.; Eindou, M.

doi:10.1023/a:1025513700102

Cited by 13 publications

(35 citation statements)

References 13 publications

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“…In this case, when the original description of the gauge fields in dimension D is in terms of totally symmetric tensors, dual theories in terms of mixed symmetry tensors corresponding to Young tableaux having one column with (D − 3) boxes plus (s − 1) columns with one box have been obtained [5]. A discussion of duality for massless spin two in arbitrary dimensions consistent with the Vasiliev formulation [6] has also been presented in Ref. [7].…”

Section: Introductionmentioning

confidence: 99%

“…This is precisely the subject of duality, which has been profusely studied along the years in many different contexts [3,4]. In the massless case, dual formulations of higher spin (s ≥ 2) fields in arbitrary dimensions have been derived from a first order parent action [5] based upon the Vasiliev action [6]. In this case, when the original description of the gauge fields in dimension D is in terms of totally symmetric tensors, dual theories in terms of mixed symmetry tensors corresponding to Young tableaux having one column with (D − 3) boxes plus (s − 1) columns with one box have been obtained [5].…”

Section: Introductionmentioning

confidence: 99%

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Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions

2008

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Using the parent Lagrangian method together with a dimensional reduction from D to (D − 1) dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor T A[A 1 A 2 ...A D−2 ] . Our starting point is the well studied massless parent action in dimension D. The resulting massive Stueckelberg-like parent actions in (D − 1) dimensions inherits all the gauge symmetries of the original massless action and can be gauge fixed in two alternative ways, yielding the possibility of having either a parent action with a symmetric or a non-symmetric Fierz-Pauli field eAB. Even though the dual sector in terms of the standard spin two field includes only the symmetrical part e {AB} in both cases, these two possibilities yield different results in terms of the alternative dual field. In particular, the non-symmetric case reproduces the Freund-Curtright action as the dual to the massive spin two field action in four dimensions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions

2008

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“…In this paper we address the question what is a frame-like formulation of the symmetric partially massless fields, that generalizes the frame-like formulation of ordinary symmetric massless fields elaborated in [16,17,18,19]. Such a reformulation operates in terms of a gauge field (connection), that takes values in some module of the (A)dS d algebra and makes gauge symmetries of the system manifest allowing to write down manifestly gauge invariant geometric actions.…”

Section: Introductionmentioning

confidence: 99%

Geometric formulation for partially massless fields

2006

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The manifestly gauge invariant formulation for free symmetric higher-spin partially massless fields in (A)dS d is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of (o(d−1, 2)) o(d, 1) described by two-row Young tableaux, in which the lengths of the first and second row are, respectively, associated with the spin and depth of partial masslessness.

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“…28) that counts the difference between the number of curvatures and the number of compensators V A in a basic form F (ω, R 1 |V, E). To explain the meaning of G recall that replacement of a connection by its curvature adds one derivative while addition of the compensator V A removes one derivative.…”

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confidence: 99%

Cubic vertices for symmetric higher-spin gauge fields in

2012

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Cubic vertices for symmetric higher-spin gauge fields of integer spins in (A)dS d are analyzed. (A)dS d generalization of the previously known action in AdS 4 , that describes cubic interactions of symmetric massless fields of all integer spins s ≥ 2, is found. A new cohomological formalism for the analysis of vertices of higher-spin fields of any symmetry and/or order of nonlinearity is proposed within the frame-like approach. Using examples of spins two and three it is demonstrated how nontrivial vertices in (A)dS d , including Einstein cubic vertex, can result from the AdS deformation of trivial Minkowski vertices. A set of higher-derivative cubic vertices for any three bosonic fields of spins s ≥ 2 is proposed, which is conjectured to describe all vertices in AdS d that can be constructed in terms of connection one-forms and curvature two-forms of symmetric higher-spin fields. A problem of reconstruction of a full nonlinear action starting from known unfolded equations is discussed. It is shown that the normalization of free higher-spin gauge fields compatible with the flat limit relates the noncommutativity parameter of the higher-spin algebra to the (A)dS radius. 10 Towards full nonlinear action 66 11 Conclusion 69 Appendix A. Frame-like derivation of the BBD vertex 71 Appendix B. On-shell identities 72 References 73

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Cited by 13 publications

References 13 publications

Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions

Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions

Geometric formulation for partially massless fields

Cubic vertices for symmetric higher-spin gauge fields in

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