Quantum Chiral Higher Spin Gravity

Skvortsov, Evgeny; Tran, Tung; Tsulaia, Mirian

doi:10.1103/physrevlett.121.031601

Cited by 93 publications

(105 citation statements)

References 57 publications

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“…Moreover, it turns out that the associated cubic vertices are crucial for consistency of higher-spin interactions in flat space [35,36] 1 . In particular, these are present in chiral higher-spin theories [40][41][42] -cubic theories of massless higher-spin fields, which are consistent to all orders in interactions [40], see also [43] for a related earlier result. At the same time, the AdS/CFT correspondence implies the existence of higher-spin theories in AdS space -holographic duals of free O(N ) vector models and similar simple theories [44,45] 2 .…”

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confidence: 52%

Spinor-Helicity Formalism for Massless Fields in AdS4

Nagaraj

Ponomarev

2019

Phys. Rev. Lett.

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In a recent letter we suggested a natural generalization of the flat-space spinorhelicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For lower-spin fields we also derive potentials associated with the previously found plane wave solutions for field strengths. We then employ these potentials to evaluate some three-point amplitudes. This analysis illustrates a typical computation of an amplitude without internal lines in our formalism.In recent years significant progress was achieved in amplitudes' computations as well as in understanding of various hidden structures underlying them. This is especially true for theories of massless particles in four dimensions. For these theories one can choose convenient kinematic variables that lead to what is known as the spinor-helicity formalism. This formalism allows to compute amplitudes efficiently and produces them in an extremely compact form. This is typically illustrated by the Parke-Taylor formula [1], which gives a single-term expression for a tree-level MHV n-point amplitude in the Yang-Mills theory. The spinor-helicity formalism also fits together nicely with other techniques used for amplitudes' computations. For review on modern amplitude methods and on the spinor-helicity formalism, see [2][3][4]. The success of the spinor-helicity formalism for theories of massless particles in four dimensions motivated its various extensions -to other dimensions [5][6][7][8][9] and to massive fields [10][11][12][13].Another line of research that lead to important developments in recent years is the AdS/CFT correspondence. It is a conjectured duality between gravitational theories in AdS space and conformal theories on its boundary [14][15][16]. The AdS/CFT correspondence provides us with new tools to address important problems of quantum gravity and strongly coupled systems. On the AdS side perturbative observables are computed by Witten diagrams, which can be regarded as the AdS counterpart of flat scattering amplitudes. These diagrams can be expressed in different representations: in terms of boundary coordinates that label external lines, in terms of the associated Fourier or Mellin space variables or presented in the form of the conformal block decomposition, see [17][18][19][20][21][22][23][24][25][26][27][28] for a far from complete list of references. Each of these representations has its own virtues and for each of them major progress was achieved in recent years. In particular, more efficient methods of computing Witten diagrams were developed, relations between the analytic structure of amplitudes and types of bulk processes were understood, it was found how take the flatspace limit of Witten diagrams, thus, reproducing the associated flat scattering amplitudes. Moreover, these results can be extended to dS space producing de Sitter space correlators, which, in turn, are closely related to inflationary correlators, see e.g. [29][30][31][32][33]. Despite these successes, ...

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supporting

confidence: 52%

Spinor-Helicity Formalism for Massless Fields in AdS4

Nagaraj

Ponomarev

2019

Phys. Rev. Lett.

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“…v) Quantum properties of bosonic higher-spin gauge field theories were studied in Refs. [62,63]. In Ref.…”

Section: Discussionmentioning

confidence: 99%

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space

Metsaev

2019

J. High Energ. Phys.

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N -extended massless arbitrary integer and half-integer spin supermultiplets in four dimensional flat space are studied in the framework of light-cone gauge formalism. For such multiplets, by using light-cone momentum superspace, we build unconstrained light-cone gauge superfield formulation. The superfield formulation is used to develop a superspace representation for all cubic interactions vertices of the N -extended massless supermultiplets. Our suitable treatment of the light-cone gauge superfields allows us to obtain attractively simple superspace representation for the cubic interaction vertices. Superspace realization of relativistic symmetries of the N -extended Poincaré superalgebra on space of interacting fields is also obtained.

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“…so that thatΘαβ ∈ C 1 up to higher-spin corrections. More explicitly, the torsion tensor is 16 The role of torsion in a dimensionally reduced noncommutative gauge theory as related to gravity was already pointed out in [24], however the specifics are different. Torsion arises in (5.9) as derivative of the NC field strength, unlike in [24].…”

Section: Weitzenböck Connection and Torsionmentioning

confidence: 99%

“…Thus torsion encodes the quantum structure of space-time, and it is the semiclassical shadow of it. This is the key to understand the matrix model in terms of gravity 16 , and the equations of motion of the model will be re-formulated in terms of torsion below. For a perturbed cosmic background Zα = tα + Aα, we havê…”

Section: Weitzenböck Connection and Torsionmentioning

confidence: 99%

“…It turns out that torsion leads to a specific and very interesting modification of the Einstein equations in vacuum here, in contrast to LS or teleparallel gravity. At a more technical level, the present model can be viewed as a reformulation (rather than a 2 It may also be interesting to compare it with chiral higher spin gravity [15,16], where an action can be written in light-cone gauge. An action formulation is also possible for conformal higher spin gravity [17,18], notably in 3 dimensions [19][20][21].3 A somewhat related proposal was put forward in [22] where the matrices are interpreted as covariant derivatives, which formally leads to the Einstein equations.…”

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confidence: 99%

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Higher-spin gravity and torsion on quantized space-time in matrix models

Steinacker

2020

J. High Energ. Phys.

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A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model. The vacuum solutions are Ricci-flat up to an effective vacuum energy-momentum tensor quadratic in the torsion, which arises from a Weitzenböck-type higher spin connection. Torsion is expected to be significant only at cosmic scales and around very massive objects, and could behave like dark matter. A non-linear equation for the torsion tensor is found, which encodes the Yang-Mills equations of the matrix model. The metric and torsion transform covariantly under a higher-spin generalization of volume-preserving diffeomorphisms, which arises from the gauge invariance of the matrix model. known as UV/IR mixing [2][3][4]. They cancel only in the maximally supersymmetric IKKT matrix model [5], which should thus have the best chance to describe physics, leading to an unexpected link with string theory. However, it is not obvious how to obtain gravity from Yang-Mills-type matrix models such as the IKKT model. There are intriguing hints such as non-local gauge transformations and Ricci-flat propagating metric fluctuations [6][7][8], but the presence of an anti-symmetric tensor θ µν in space-time leads to a dangerous breaking of Lorentz invariance. This problem can be overcome by considering a higher-spin generalization, where θ µν is replaced by a twisted bundle of such tensors over space-time. This is realized in a simple solution of the IKKT model with a mass term interpreted as cosmological FLRW space-time M, based on the doubleton representations of so(4, 2) [9, 10], cf. [11]. It leads to a higher spin gauge theory which is invariant under a higher spin generalization of volume-preserving diffeomorphisms, ghost-free at the linearized level, and includes spin 2 gravitons. A linearized Schwarzschild-like solution was also found [12]. The theory has intriguing structural similarities with Vasilievs higherspin gravity [13,14], but also crucial differences 2 : it is defined through an action, both IR and UV scale parameters are present, and there are 5 propagating metric modes which could be interpreted as "would-be massive" gravitons. In the present paper, we study that higher-spin theory at the non-linear level. This is not straightforward because the model is of Yang-Mills type, there is no Einstein-Hilbert action, and everything is based on Poisson brackets (or commutators). The gauge symmetry corresponds to generalized diffeomorphisms rather than local Lorentz transformations 3 , hence it is not some reformulation of GR in the spirit of MacDowell-Mansouri [23]. A more appropriate approach can be found in a paper by Langmann and Szabo (LS) [24], who pointed out that a dimensional reduction of a gauge theory in 8-dimensional phase space with suitable constraints can be interpreted in terms of 4-dimensional teleparallel gravity through torsion. Although their setup does not provide a complete theory, a similar strategy provides a geometric unders...

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Quantum Chiral Higher Spin Gravity

Cited by 93 publications

References 57 publications

Spinor-Helicity Formalism for Massless Fields in AdS4

Spinor-Helicity Formalism for Massless Fields in AdS4

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space

Higher-spin gravity and torsion on quantized space-time in matrix models

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