A note on field redefinitions and higher-spin equations

Taronna, Massimo

doi:10.1051/epjconf/201612505025

Cited by 10 publications

(7 citation statements)

References 21 publications

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“…Indeed, note that AdS HS amplitudes in Mellin space, which has been proposed as the AdS analogue of momentum space for flat space scattering amplitudes [71], are given by distributions -see e.g. [72,73]. 9 We note that the same question was also explored in a previous work [74].…”

Section: Introductionmentioning

confidence: 72%

Higher-Spin Gauge Theories and Bulk Locality

2018

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We present a no-go result on consistent Noether interactions among higher-spin gauge fields on anti-de Sitter space-times. We show that there is a non-local obstruction at the classical level to consistent interacting field theory descriptions of massless higher-spin particles that are described in the free limit by the free Fronsdal action, under the assumption that such theories arise from the gauging of a global higher-spin symmetry. Our result suggests that the Fronsdal programme for introducing interactions among higher-spin gauge fields cannot be completed without introducing new guiding principles, which could lie beyond the framework of classical field theory.

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Section: Introductionmentioning

confidence: 72%

Higher-Spin Gauge Theories and Bulk Locality

2018

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“…In this holographic picture, the main physical consistency requirement is the emergence of bulk locality, see e.g. [27,[29][30][31][32][33][34][35][36][37][38] for an incomplete list of works in this direction.…”

Section: Introductionmentioning

confidence: 99%

Spinning Witten diagrams

Sleight¹,

Taronna²

2017

J. High Energ. Phys.

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140

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We develop a systematic framework to compute the conformal partial wave expansions (CPWEs) of tree-level four-point Witten diagrams with totally symmetric external fields of arbitrary mass and integer spin in AdS d+1 . As an intermediate step, we identify convenient bases of three-point bulk and boundary structures to invert linear map between spinning three-point conformal structures and spinning cubic couplings in AdS. Given a CFT d , this provides the complete holographic reconstruction of all cubic couplings involving totally symmetric fields in the putative dual theory on AdS d+1 . Employing this framework, we determine the CPWE of a generic four-point exchange Witten diagram with spinning exchanged field. As a concrete application, we compute all four-point exchange Witten diagrams in the type A higher-spin gauge theory on AdS d+1 , which is conjectured to be dual to the free scalar O (N ) model.

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“…Being more circumspect, one can say that, for the Vasiliev's equations, the issues of locality and weak-field perturbative expansion around AdS 4 are subtle and require more investigations, see [23,24,25,26,18,27,28,21] for some preliminary works in that direction. In fact, taking a closer look at the deformed Fronsdal action, it is more reminiscent of an effective than a classical action.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields

Bonezzi

Boulanger

Filippi

et al. 2017

J. Phys. A: Math. Theor.

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Abstract. We first prove that, in Vasiliev's theory, the zero-form charges studied in 1103. 2360 and 1208.3880 are twisted open Wilson lines in the noncommutative Z space. This is shown by mapping Vasiliev's higher-spin model on noncommutative Yang-Mills theory. We then prove that, prior to Bose-symmetrising, the cyclically-symmetric higherspin invariants given by the leading order of these n-point zero-form charges are equal to corresponding cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the higher spin gravity side, our computation reproduces the results of 1210.7963 using an alternative method amenable to the computation of subleading corrections obtained by perturbation theory in normal order. On the free CFT side, our proof involves the explicit computation of the separate cyclic building blocks of the correlation functions of n conserved currents in arbitrary dimension d > 2 using polarization vectors, which is an original result. It is shown to agree, for d = 3 , with the results obtained in 1301.3123 in various dimensions and where polarization spinors were used.

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A note on field redefinitions and higher-spin equations

Cited by 10 publications

References 21 publications

Higher-Spin Gauge Theories and Bulk Locality

Higher-Spin Gauge Theories and Bulk Locality

Spinning Witten diagrams

Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields

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