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Mikhailov, Alexander S.; Михайлов, В. С.

doi:10.1023/a:1020053924735

Cited by 14 publications

(20 citation statements)

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“…Moreover, since excitations of strings and other extended objects carry general angular momenta, the unifying algebra must incorporate higher-spin symmetries [1,26,27,28,4,6,7,29] (see also [30]). The developments initiated by [31] later led to the appreciation that these symmetries play a natural role within holographic space-time reconstruction [32,28,33,4,6,35,34,36,37,38,39,40,41].…”

Section: Discussionmentioning

confidence: 99%

“…are the spin-boost generators defined in (A.8) and (A.9), then the scalar-singleton mass-shell condition L + r L + r |Ψ = 0 corresponding to the singular vector (A.16), yields Thus, acting in the large-spin sector, 35) while A − behaves classically 36) and decouples in the semi-classical limit via the mass-shell condition (2.34). In the normalcoordinate expansion, (E − M D−2,D−1 )/L is identified as the world-sheet Hamiltonian, although E and M D−2,D−1 are not quantized separately [81,82].…”

Section: Dilute-gas Approximationmentioning

confidence: 99%

“…Its elimination leaves the scalar singleton 36) containing the on-shell modes of the conformally coupled scalar on the conifold,…”

Section: )mentioning

confidence: 99%

“…This mode must be deleted from the pathintegral measure, which we define schematically as The so(D − 1, 2) current 36) in general has an anomaly, given by…”

Section: Brst Formulation and Truncation Of Tripletsmentioning

confidence: 99%

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Brane partons and singleton strings

2006

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We examine p-branes in AdS D in two limits where they exhibit partonic behavior: rotating branes with energy concentrated to cusp-like solitons; tensionless branes with energy distributed over singletonic partons on the Dirac hypercone. Evidence for a smooth transition from cusps to partons is found. First, each cusp yields D − 2 normal-coordinate bound states with protected frequencies (for p > 2 there are additional bound states); and can moreover be related to a short open p-brane whose tension diverges at the AdS boundary leading to a decoupled singular CFT at the "brane at the end-of-the-universe". Second, discretizing the closed p-brane and keeping the number N of discrete partons finite yields an sp(2N )-gauged phase-space sigma model giving rise to symmetrized Ntupletons of the minimal higher-spin algebra ho 0 (D − 1, 2) ⊃ so(D − 1, 2). The continuum limit leads to a 2d chiral sp(2)-gauged sigma model which is critical in D = 7; equivalentá la Bars-Vasiliev to an su(2)-gauged spinor string; and furthermore dual to a WZW model in turn containing a topological so(6, 2) −2 /( so(6) ⊕ so(2)) −2 coset model with a chiral ring generated by singleton-valued weight-0 spin fields. Moreover, the two-parton truncation can be linked via a reformulationá la Cattaneo-Felder-Kontsevich to a topological open string on the phase space of the D-dimensional Dirac hypercone. We present evidence that a suitable deformation of the open string leads to the Vasiliev equations based on vector oscillators and weak sp(2)-projection. Geometrically, the bi-locality reflects broken boundary-singleton worldlines, while Vasiliev's intertwiner κ can be seen to relate T and R-ordered deformations of the boundary and the bulk of the worldsheet, respectively.

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Section: Discussionmentioning

confidence: 99%

Section: Dilute-gas Approximationmentioning

confidence: 99%

“…Its elimination leaves the scalar singleton 36) containing the on-shell modes of the conformally coupled scalar on the conifold,…”

Section: )mentioning

confidence: 99%

“…This mode must be deleted from the pathintegral measure, which we define schematically as The so(D − 1, 2) current 36) in general has an anomaly, given by…”

Section: Brst Formulation and Truncation Of Tripletsmentioning

confidence: 99%

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Brane partons and singleton strings

2006

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“…This program has met with apparent success in the BMN limit [12,13,14], where the operators are very close to being BPS. It has also been successful, to a point, in the long wave-length limit, where the eigenvalues of the dilatation operator have been shown to match the string predictions at the one-loop level [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40], and in some cases up to two loop order [42,24,43,44,45], although there is a mismatch at three loop order [46,42,47,44]. Both the BMN limit and the long wave-length limit can be treated using a semiclassical analysis [48,49], with expansion parameter λ/L 2 , where λ is the 't Hooft parameter and quantum corrections are suppressed by 1/L.…”

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confidence: 96%

The SU(2) sector in AdS/CFT

Minahan

2005

Fortschritte der Physik

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In the large N limit of N = 4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the λ/L 2 expansion.To appear in proceedings of the RTN workshop, "The quantum structure of space-time and the geometric nature of fundamental interactions", Kolymbari, Crete, September 2004.

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Fermionic coset, critical level $ \mathcal{W}_4^{{(2)}} $ -algebra and higher spins

Creutzig

Gao²,

Linshaw³

2012

J. High Energ. Phys.

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The fermionic coset is a limit of the pure spinor formulation of the AdS 5 ×S 5 sigma model as well as a limit of a nonlinear topological A-model, introduced by Berkovits. We study the latter, especially its symmetries, and map them to higher spin algebras.We show the following. The linear A-model possesses affine pgl (4|4) 0 symmetry at critical level and its psl (4|4) 0 current-current perturbation is the nonlinear model. We find that the perturbation preserves W (2) 4 -algebra symmetry at critical level. There is a topological algebra associated to pgl (4|4) 0 with the properties that the perturbation is BRST-exact. Further, the BRST-cohomology contains world-sheet supersymmetric symplectic fermions and the non-trivial generators of the W (2) 4 -algebra. The Zhu functor maps the linear model to a higher spin theory. We analyze its psl (4|4) action and find finite dimensional short multiplets. *

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Cited by 14 publications

References 1 publication

Brane partons and singleton strings

Brane partons and singleton strings

The SU(2) sector in AdS/CFT

Fermionic coset, critical level $ \mathcal{W}_4^{{(2)}} $ -algebra and higher spins

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