Towards massless sector of tensionless strings on AdS5

Sharapov, A. A.; Skvortsov, Evgeny; Tran, Tung

doi:10.1016/j.physletb.2019.135094

Cited by 5 publications

(6 citation statements)

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%

“…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%

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Characteristic cohomology and observables in higher spin gravity

Sharapov

Skvortsov

2020

J. High Energ. Phys.

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We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

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Section: Jhep12(2020)190mentioning

confidence: 99%

Section: Jhep12(2020)190mentioning

confidence: 99%

Characteristic cohomology and observables in higher spin gravity

Sharapov

Skvortsov

2020

J. High Energ. Phys.

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“…• 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%

Snowmass White Paper: Higher Spin Gravity and Higher Spin symmetry

Bekaert¹,

Boulanger²,

Campoleoni³

et al. 2022

Preprint

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Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater than two. These extensions are expected to provide manageable models of quantum gravity thanks to the infinite-dimensional (higher spin) gauge symmetry constraining them. One of the key aspects of Higher Spin Gravity/Symmetry is the range and diversity of topics it embraces: (a) higher spin fields play a role in quantum gravity, AdS/CFT, string theory and are expected to have important consequences in cosmology and black hole physics; (b) higher spin symmetry finds applications in Conformal Field Theories, condensed matter systems and dualities therein; (c) these models often rely on tools developed in the study of the mathematical foundations of QFT or in pure mathematics: from deformation quantization and non-commutative geometry to conformal geometry, graded geometry (including BV-BRST quantization), and geometry of PDEs. Recent exciting applications also involve (d) modelling the coalescence of black hole binaries as scattering of massive higher spin particles.

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“…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).…”

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confidence: 99%

A Twistorial Description of the IKKT-Matrix Model

Steinacker¹,

Tran²

2022

Preprint

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We consider the fuzzy 4-sphere S 4N as a background in the IKKT matrix model, and explore the relation between S 4N and fuzzy twistor space in the semi-classical limit. A novel description for the IKKT-matrix model in terms of spinorial indices is given, which is reminiscent of N " 4 super-symmetric Yang-Mills (SYM) in 4d. On fuzzy twistor space, the interactions of the IKKT model are of gravitational type. The higher-spin (HS) gauge theory emerging in this limit from the IKKT model, denoted as HS-IKKT, on fuzzy twistor space is shown to be a higher-spin extension of N " 4 SYM, with vertices that have more than two derivatives. We obtain its (Euclidean) spacetime action using the Penrose transform. Although this is a gravitational theory, it shares many features with the higher-spin extensions of Yang-Mills in 4d flat space obtained in [1,2]. The tree-level amplitudes of the HS-IKKT are studied in the semi-classical flat limit. The self-dual gauge sector of the IKKT model is obtained by dropping some parts of the cubic-and the quartic interactions, which is shown to reduce to a BF -type action on commutative deformed projective twistor space.

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Towards massless sector of tensionless strings on AdS5

Cited by 5 publications

References 76 publications

Characteristic cohomology and observables in higher spin gravity

Characteristic cohomology and observables in higher spin gravity

Snowmass White Paper: Higher Spin Gravity and Higher Spin symmetry

A Twistorial Description of the IKKT-Matrix Model

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