Higher Spin Black Holes

Pérez, Alfredo; Tempo, David; Troncoso, Ricardo

doi:10.1007/978-3-319-10070-8_10

Cited by 18 publications

(26 citation statements)

References 83 publications

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“…Also, one cannot exclude that higher spin field theory is an effective theory for an underlying, so far unknown, more fundamental theory. Nevertheless, there are few examples of successful approaches to higher spin theory such as Vasiliev's theory [9,[26][27][28] (for reviews look in [29][30][31]) and the 3D Cherns-Simon higher spin-gravity formulation [32][33][34]. Despite their actual successes, these theories still appear very complicated.…”

Section: Introductionmentioning

confidence: 99%

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

2018

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Abstract:We investigate cubic interactions between a chiral superfield and higher spin superfields corresponding to irreducible representations of the 4D, N = 1 super-Poincaré algebra. We do this by demanding an invariance under the most general transformation, linear in the chiral superfield. Following Noether's method we construct an infinite tower of higher spin supercurrent multiplets which are quadratic in the chiral superfield and include higher derivatives. The results are that a single, massless, chiral superfield can couple only to the half-integer spin supermultiplets (s + 1, s + 1/2) and for every value of spin there is an appropriate improvement term that reduces the supercurrent multiplet to a minimal multiplet which matches that of superconformal higher spins. On the other hand a single, massive, chiral superfield can couple only to higher spin supermultiplets of type (2l + 2 , 2l + 3/2) (only odd values of s, s = 2l + 1) and there is no minimal multiplet. Furthermore, for the massless case we discuss the component level higher spin currents and provide explicit expressions for the integer and half-integer spin conserved currents together with a R-symmetry current.

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Section: Introductionmentioning

confidence: 99%

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

2018

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“…Another possible direction for research lies in the the construction of black hole solutions in supersymmetric Chern-Simons Lifshitz theories following the work on the bosonic case [13,30] A A review of sl(3|2)…”

Section: Discussionmentioning

confidence: 99%

Higher spin Chern–Simons theory and the super Boussinesq hierarchy

Gutperle

2018

Int. J. Mod. Phys. A

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In this paper we construct a map between a solution of supersymmetric Chern-Simons higher spin gravity based on the superalgebra sl(3|2) with Lifshitz scaling and the N = 2 super Boussinesq hierarchy. We show that under this map the time evolution equations of both theories coincide. In addition, we identify the Poisson structure of the Chern-Simons theory induced by gauge transformation with the second Hamiltonian structure of the super Boussinesq hierarchy.

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“…12 One can define a quasi-primary field of dimension 2, as a Virasoro subalgebra can be identified in (3.14), but the remaining generator can not be redefined in order to form a primary with respect to the Virasoro one. 13 However one should keep in mind the extra shift in the coordinate ρ → ρ − 1 2 log(µ3).…”

Section: Jhep03(2015)081mentioning

confidence: 99%

“…This dependence only affects implicitly the W (2) 3 algebra through field redefinitions. The hs(λ) ansätze introduced in [25], belong to (3.42) under (3.56) for the truncation to sl(3, R) via the limit λ = 3 13 . Thenceforth, in this case, the corresponding charges are not of higher spin character.…”

Section: Jhep03(2015)081mentioning

confidence: 99%

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About the phase space of SL(3) black holes

Cabo-Bizet

Giraldo-Rivera

2015

J. High Energ. Phys.

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In this note we address some issues of recent interest, related to the asymptotic symmetry algebra of higher spin black holes in sl(3, R) × sl(3, R) Chern Simons (CS) formulation. We compute the fixed time Dirac bracket algebra that acts on two different phase spaces. Both of these spaces contain black holes as zero modes. The result for one of these phase spaces is explicitly shown to be isomorphic to W

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Higher Spin Black Holes

Cited by 18 publications

References 83 publications

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

Higher spin Chern–Simons theory and the super Boussinesq hierarchy

About the phase space of SL(3) black holes

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