Anomalous propagation of gauge fields in conformally flat spaces

Deser, S.; Nepomechie, Rafael I.

doi:10.1016/0370-2693(83)90317-9

Cited by 146 publications

(280 citation statements)

References 16 publications

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“…The fact that the 2D conserved current housing super-translation KM charges in Mink 4 was found to be a ECFT 2 descendent operator of a partially conserved operator [36] suggests a role for partially massless gauge fields [92,93] in 3D, in turn coupled to partially conserved currents of a 3D holographic dual of Mink 4 QG.…”

Section: Minkmentioning

confidence: 99%

Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

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Asymptotic symmetries of AdS 4 quantum gravity and gauge theory are derived by coupling the holographically dual CFT 3 to Chern-Simons gauge theory and 3D gravity in a "probe" (large-level) limit. Despite the fact that the three-dimensional AdS 4 boundary as a whole is consistent with only finite-dimensional asymptotic symmetries, given by AdS isometries, infinite-dimensional symmetries are shown to arise in circumstances where one is restricted to boundary subspaces with effectively two-dimensional geometry. A canonical example of such a restriction occurs within the 4D subregion described by a Wheeler-DeWitt wavefunctional of AdS 4 quantum gravity. An AdS 4 analog of Minkowski "super-rotation" asymptotic symmetry is probed by 3D Einstein gravity, yielding CFT 2 structure (in a large central charge limit), via AdS 3 foliation of AdS 4 and the AdS 3 /CFT 2 correspondence. The maximal asymptotic symmetry is however probed by 3D conformal gravity. Both 3D gravities have Chern-Simons formulation, manifesting their topological character. Chern-Simons structure is also shown to be emergent in the Poincare patch of AdS 4 , as soft/boundary limits of 4D gauge theory, rather than "put in by hand" as an external probe. This results in a finite effective Chern-Simons level. Several of the considerations of asymptotic symmetry structure are found to be simpler for AdS 4 than for Mink 4 , such as non-zero 4D particle masses, 4D non-perturbative "hard" effects, and consistency with unitarity. The last of these in particular is greatly simplified because in some setups the time dimension is explicitly shared by each level of description: Lorentzian AdS 4 , CFT 3 and CFT 2 . Relatedly, the CFT 2 structure clarifies the sense in which the infinite asymptotic charges constitute a useful form of "hair" for black holes and other complex 4D states. An AdS 4 analog of Minkowski "memory" effects is derived, but with late-time memory of earlier events being replaced by (holographic) "shadow" effects. Lessons from AdS 4 provide hints for better understanding Minkowski asymptotic symmetries, the 3D structure of its soft limits, and Minkowski holography.

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Section: Minkmentioning

confidence: 99%

Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

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“…In addition, we also identify the Weyl tensor and its derivatives as the obstruction to factorization for spin s > 2 on generic backgrounds. Furthermore, we rediscover the well known factorization of the conformal wave operator for spin 2 on Einstein backgrounds [3][4][5][6], and extend it to arbitrary dimensions.…”

Section: Jhep06(2014)066mentioning

confidence: 99%

“…In particular, the actions of Weyl gravity and conformal supergravity, together with their corresponding wave equations, have been studied in great detail [1][2][3][4][5][6][7][8][9][10][11] as natural extensions of ordinary gravity and supergravity theories. Interest has been also devoted to the corresponding higher spin generalizations [12][13][14][15][16][17][18], not just because of the intriguing role of conformal symmetry.…”

Section: Introductionmentioning

confidence: 99%

On conformal higher spin wave operators

Nutma

Taronna

2014

J. High Energ. Phys.

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We analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general, and identify the Weyl tensor and its derivatives as the obstruction to factorization. We give a manifestly factorized form for them on (A)dS backgrounds for arbitrary spin and on Einstein backgrounds for spin 2. We are also able to fix the conformal wave operator in d = 4 for s = 3 up to linear order in the Riemann tensor on generic Bach-flat backgrounds.

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“…The corresponding HS algebras were studied in [87] for the simplest case = 2 (as the symmetry algebra of the Laplacian square, thereby generalising the previous characterisation of hs (d) 0 as the symmetry algebra of the Laplacian [88]) and for general values of in [89][90][91]. As we already mentionned, the interesting feature of such HS algebras is that their spectrum, i.e., the set of fields of the bulk theory, contains partially massless (totally symmetric) higher-spin fields [82] (introduced originally in [92][93][94][95], and whose free propagation was described in the unfolded formalism in [96]). Although non-unitary in AdS background, partially massless fields of arbitrary spin are unitary in de Sitter background [97], and hence constitute a particularly interesting generalisation of HS gauge fields to consider 7 .…”

mentioning

confidence: 71%

A Note on Rectangular Partially Massless Fields

Basile

2018

Universe

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Abstract:We study a class of non-unitary so(2, d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin singletons of higher order. It is shown that this class of so(2, d) modules obeys of natural generalisation of a couple of defining properties of unitary higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so(2, d − 1), these representations branch onto a sum of modules describing partially massless fields of various depths. Finally, their tensor product is worked out in the particular case of d = 4, where the appearance of a variety of mixed-symmetry partially massless fields in this decomposition is observed.

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Anomalous propagation of gauge fields in conformally flat spaces

Cited by 146 publications

References 16 publications

Asymptotic symmetries, holography and topological hair

Asymptotic symmetries, holography and topological hair

On conformal higher spin wave operators

A Note on Rectangular Partially Massless Fields

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