2020
DOI: 10.1016/j.physletb.2019.135094
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Towards massless sector of tensionless strings on AdS5

Abstract: A Formal Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher spin algebra. A strong homotopy algebra encoding the interaction vertices then follows.We propose two different and novel realizations of the deformed higher spin algebra in the case of five dimensions: one in terms of the universal enveloping algebra of su(2, 2) and the… Show more

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Cited by 5 publications
(6 citation statements)
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References 76 publications
(165 reference statements)
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“…The general solution applicable to any higher spin (or arbitrary associative) algebra was proposed in [54]. There are a number of such and very similar models in the literature [29,[53][54][55][56][57][58][59][60][61][62].…”
Section: Jhep12(2020)190mentioning
confidence: 99%
See 1 more Smart Citation
“…The general solution applicable to any higher spin (or arbitrary associative) algebra was proposed in [54]. There are a number of such and very similar models in the literature [29,[53][54][55][56][57][58][59][60][61][62].…”
Section: Jhep12(2020)190mentioning
confidence: 99%
“…That all nonlinear terms in (3.8) follow, up to equivalence, in a simple way from a one-parameter family of associative algebras is an enormous simplification of the problem. There is a variety of nonlinear equations of type (3.8) in the literature that do not seem to use this structure at all [56,58,60], use it implicitly [29,53,55,57,59], and use it explicitly [54,61]. 23 There are some general methods to deform associative algebras in a constructive way, e.g.…”
Section: Jhep12(2020)190mentioning
confidence: 99%
“…• Within the formal deformation approach many higher spin gravity models have been constructed [9,[223][224][225][226][227][228][229][230][231], the problem was solved in full generality -it was shown how to construct formally consistent classical equations for any given higher spin algebra [232] -and turned out to be deeply related to deformation quantization, topological field theory and non-commutative geometry [81,225,228,[232][233][234].…”
Section: Recent Progress and State Of The Artmentioning
confidence: 99%
“…where we have use (57). Since it scales as Oprq, all of the Poisson brackets involving y 5 in the SCF limit can be neglected, i.e.…”
Section: Spinorial Representation For the Action Of The Ikkt Modelmentioning
confidence: 99%
“…The spinors λ, µ are also known as doubletons[68][69][70] 11. Note that any anti-symmetric combination of α and β reduces to xλ λy, which would have lower spin due to(57).…”
mentioning
confidence: 99%