More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

Bianchi, Massimo; Heslop, Paul; Riccioni, Fabio

doi:10.1088/1126-6708/2005/08/088

Cited by 50 publications

(58 citation statements)

References 121 publications

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“…This result has already been obtained in [21] using N = 4 analytic superspace. Here we give an alternative derivation in terms of component fields instead of superfields.…”

Section: Twist-two Operators In the Free Theorysupporting

confidence: 77%

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On twist-two operators in SYM

Henn¹,

Jarczak²,

Sokatchev³

2005

Nuclear Physics B

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We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N = 4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the three-point functions of the operators and of the descendants with two protected half-BPS operators. These ratios are proportional to the anomalous dimension and can be evaluated at n − 1 loop in order to determine the anomalous dimension at n loops. We illustrate the method by reproducing the well-known one-loop result by doing only tree-level calculations. We work out the complete form of the first-generation descendants of the twist-two operators and the scalar sector of the second-generation descendants.

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“…This result has already been obtained in [21] using N = 4 analytic superspace. Here we give an alternative derivation in terms of component fields instead of superfields.…”

Section: Twist-two Operators In the Free Theorysupporting

confidence: 77%

“…Its applications in the context of the AdS/CFT correspondence were studied in [19,20] under the name La Grande Bouffe. In a recent paper [21] some details of the mechanism of decomposition of long twist-two multiplets into submultiplets were presented, and in particular, the creation of two generations of descendants described above.…”

Section: Introductionmentioning

confidence: 99%

On twist-two operators in SYM

Henn¹,

Jarczak²,

Sokatchev³

2005

Nuclear Physics B

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“…As an example we consider the set of higher-spin currents in N = 4, D = 4 super Yang-Mills theory which were constructed in [29]. The basic field is the minimal multiplet which we discuss below.…”

Section: Currents and Superconformal Killing Tensorsmentioning

confidence: 99%

“…(In [29] this formula was given for the (non-interacting) non-Abelian case where one has to take the trace over the Yang-Mills indices on W .) Note that for n odd this expression gives total derivatives.…”

Section: Currents and Superconformal Killing Tensorsmentioning

confidence: 99%

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Super-Laplacians and their symmetries

Howe

Lindström

2017

J. High Energ. Phys.

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A super-Laplacian is a set of differential operators in superspace whose highestdimensional component is given by the spacetime Laplacian. Symmetries of super-Laplacians are given by linear differential operators of arbitrary finite degree and are determined by superconformal Killing tensors. We investigate these in flat superspaces. The differential operators determining the symmetries give rise to algebras which can be identified in many cases with the tensor algebras of the relevant superconformal Lie algebras modulo certain ideals. They have applications to Higher Spin theories.

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Partially massless higher-spin theory

Brust

Hinterbichler

2017

J. High Energ. Phys.

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We study a generalization of the D-dimensional Vasiliev theory to include a tower of partially massless fields. This theory is obtained by replacing the usual higher-spin algebra of Killing tensors on (A)dS with a generalization that includes "third-order" Killing tensors. Gauging this algebra with the Vasiliev formalism leads to a fully non-linear theory which is expected to be UV complete, includes gravity, and can live on dS as well as AdS. The linearized spectrum includes three massive particles and an infinite tower of partially massless particles, in addition to the usual spectrum of particles present in the Vasiliev theory, in agreement with predictions from a putative dual CFT with the same symmetry algebra. We compute the masses of the particles which are not fixed by the massless or partially massless gauge symmetry, finding precise agreement with the CFT predictions. This involves computing several dozen of the lowest-lying terms in the expansion of the trilinear form of the enlarged higher-spin algebra. We also discuss nuances in the theory that occur in specific dimensions; in particular, the theory dramatically truncates in bulk dimensions D = 3, 5 and has non-diagonalizable mixings which occur in D = 4, 7.

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More on ``La Grande Bouffe'': towards higher spin symmetry breaking in AdS

Cited by 50 publications

References 121 publications

On twist-two operators in SYM

On twist-two operators in SYM

Super-Laplacians and their symmetries

Partially massless higher-spin theory

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