Higher-Spin Theory and Space-Time Metamorphoses

Vasiliev, M. A.

doi:10.1007/978-3-319-10070-8_9

Cited by 42 publications

(34 citation statements)

References 137 publications

(145 reference statements)

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“…The analogy to the IKKT model (1) is obtained when φ " 1 and d " 1 in Label (22). The equations of motion are obtained from the property…”

Section: Deforming Schild Action (2) Results Inmentioning

confidence: 99%

“…The reader familiarized with HSGR will note already a similarity of Label (10) with the fields of HSGR. Actually, their equivalence is up to determination of the algebra U pYq, which, for higher spin gravity, it is typically a Weyl algebra of multiple oscillators and their products with Clifford algebras [18][19][20][21][22]. As in HSGR, we shall require local invariance of the matrix model in M-space, i.e., that the systems of constraints (9) must be constant with respect to a covariant derivative.…”

Section: From Matrix Models To Higher Spin Gravitymentioning

confidence: 99%

“…As it was shown in [33], the phase space monomials y αp2q (α " 1, ..., 2 rD{2s ), in the classical level, parametrize an algebraic variety (say M) whose coordinates are conveniently labeled by Lorentz multivectors in D dimensions. M admits a covariant non-commutative deformation (quantization), i.e., introducing the ›-product (22) in the algebra of functions in the space M, which is Lorentz covariant. Surprisingly enough, the coordinates of the non-commutative version of M will satisfy the constraints (26) and (27).…”

Section: Type Iib Higher Spin Matrix Models In D " 2 3 4 Modmentioning

confidence: 99%

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Higher Spin Matrix Models

Valenzuela

2017

Universe

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Abstract:We propose a hybrid class of theories for higher spin gravity and matrix models, i.e., which handle simultaneously higher spin gravity fields and matrix models. The construction is similar to Vasiliev's higher spin gravity, but part of the equations of motion are provided by the action principle of a matrix model. In particular, we construct a higher spin (gravity) matrix model related to type IIB matrix models/string theory that have a well defined classical limit, and which is compatible with higher spin gravity in AdS space. As it has been suggested that higher spin gravity should be related to string theory in a high energy (tensionless) regime, and, therefore to M-Theory, we expect that our construction will be useful to explore concrete connections.

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“…The analogy to the IKKT model (1) is obtained when φ " 1 and d " 1 in Label (22). The equations of motion are obtained from the property…”

Section: Deforming Schild Action (2) Results Inmentioning

confidence: 99%

Section: From Matrix Models To Higher Spin Gravitymentioning

confidence: 99%

Section: Type Iib Higher Spin Matrix Models In D " 2 3 4 Modmentioning

confidence: 99%

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Higher Spin Matrix Models

Valenzuela

2017

Universe

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“…Comparison regarding the origin of AdS space is of interest. At the level of gauge invariant Higher Spin equation on has the proposals of Vasiliev [45,50]. Relationships between all these approaches to Holography are of major interest.…”

Section: Jhep01(2015)055 6 Conclusionmentioning

confidence: 99%

Holography as a gauge phenomenon in Higher Spin duality

Koch

Jevicki

Rodrigues

et al. 2015

J. High Energ. Phys.

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Employing the world line spinning particle picture. We discuss the appearance of several different 'gauges' which we use to gain a deeper explanation of the Collective/Gravity identification. We discuss transformations and algebraic equivalences between them. For a bulk identification we develop a 'gauge independent' representation where all gauge constraints are eliminated. This 'gauge reduction' of Higher Spin Gravity demonstrates that the physical content of 4D AdS HS theory is represented by the dynamics of an unconstrained scalar field in 6d. It is in this gauge reduced form that HS Theory can be seen to be equivalent to a 3 + 3 dimensional bi-local collective representation of CFT 3 .

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“…the reviews [1][2][3][4][5][6][7][8]). In this paper we are going to study some aspects of the higher spin field theory related to constructing the massive supersymmetric higher spin models in three space-time dimensions.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time

Buchbinder

Snegirev

Zinoviev

2015

J. High Energ. Phys.

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We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d = 3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly constructed out of the appropriately chosen set of massless ones exactly in the same way as the gauge invariant description for the massive bosonic (fermionic) field with spin s can be obtained using a set of massless fields with spins s, s − 1, . . . , 0(1/2). Moreover, such construction for the massive supermultiplets turns out to be perfectly consistent with our previous results on the gauge invariant Lagrangian formulation for massive higher spin bosons and fermions in d = 3.

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Higher-Spin Theory and Space-Time Metamorphoses

Cited by 42 publications

References 137 publications

Higher Spin Matrix Models

Higher Spin Matrix Models

Holography as a gauge phenomenon in Higher Spin duality

Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time

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