Characteristic cohomology ofp-form gauge theories

Henneaux, Marc; Knaepen, Bernard; Schomblond, Christiane

doi:10.1007/bf02885676

Cited by 57 publications

(112 citation statements)

References 43 publications

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“…In Minkowski spacetime g µν = η µν , χ = 0 and for a trivial bundle A, all these lower degree conserved forms are classified by the characteristic cohomology of p-form gauge theories [20]. These laws are generated in the exterior product by the forms ⋆H dual to the field strength [36].…”

Section: Conservation Lawsmentioning

confidence: 99%

Note on the first law withp-form potentials

Compère

2007

Phys. Rev. D

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The conserved charges for p-form gauge fields coupled to gravity are defined using Lagrangian methods. Our expression for the surface charges is compared with an earlier expression derived using covariant phase space methods. Additional properties of the surfaces charges are discussed.The proof of the first law for gauge fields that are regular when pulled-back on the future horizon is detailed and is shown to be valid on the bifurcation surface as well. The formalism is applied to black rings with dipole charges and is also used to provide a definition of energy in plane wave backgrounds.

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Section: Conservation Lawsmentioning

confidence: 99%

Note on the first law withp-form potentials

Compère

2007

Phys. Rev. D

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“…Since Y µνρ k+1 is symmetric in µ and ν, we have also on the symmetries of the curvature tensor K γβ|µν|αρ and calling the result Ψ γβ|µν|αρ k+1 which is of course invariant, we find after some rather lengthy algebra (which takes no time using Ricci [37]) 38) with…”

Section: Where [G] Denotes the Einstein Tensor And Its Derivatives Wmentioning

confidence: 99%

Spin three gauge theory revisited

Bekaert

Boulanger

Cnockaert

2006

J. High Energy Phys.

105

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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.

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“…Though lemma 3 is already known [20,6], the proof does never appear explicitely. We shall therefore give it here.…”

Section: Comments and Conclusionmentioning

confidence: 99%

Consistent deformations of [p,p]-type gauge field theories

Boulanger

Cnockaert

2004

J. High Energy Phys.

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Interactions of a single massless tensor field with the mixed symmetry (3,1) Abstract: Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p > 1. Under the assumptions of locality and Poincaré invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations. Adding the requirement that the deformation contains no more than two derivatives, the only possible deformation is a cosmological-constant-like term.

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Characteristic cohomology ofp-form gauge theories

Cited by 57 publications

References 43 publications

Note on the first law withp-form potentials

Note on the first law withp-form potentials

Spin three gauge theory revisited

Consistent deformations of [p,p]-type gauge field theories

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