Gauge fields of any spin and symmetry

Ouvry, Stéphane; Stern, J.

doi:10.1016/0370-2693(86)90763-x

Cited by 127 publications

(174 citation statements)

References 16 publications

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“…Here we emphasize a crucial -though not completely uncontroversial -standpoint, namely that the string tension is a background dependent quantity determined by the solution, whereby tensionless limits [22,23,24,25] open windows into the Landscape which may ultimately turn out to be wider than those offered by traditional tensile strings and supergravity. 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]).…”

Section: Discussionmentioning

confidence: 95%

“…Indeed, the resemblance between the spectrum of massless fields (1.4) and the tensionless limit of the leading flat-space Regge trajectory [23,66,60,67] can be made into a more precise correspondence, which includes massive multi-singletons and higher trajectories, by using supersymmetry and holography arguments [68,69,37,40,70]. Clearly, this motivates establishing a more direct link between the phase-space approach and the tensionless limit of (bosonic) p-branes in anti-de Sitter spacetime.…”

Section: Higher-spin Gauge Theory and Singleton Stringsmentioning

confidence: 99%

“…22 Bosonization yields the integer as well as half-integer Fock spaces (3.61) and (3.62). 23 In D = 7, the stress tensor built from the total sp(2) current is trivial, while the pure matter current (2)) yields a contracted Virasoro algebra [23,108].…”

Section: The 7d Closed Singleton Stringmentioning

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: 95%

Section: Higher-spin Gauge Theory and Singleton Stringsmentioning

confidence: 99%

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Brane partons and singleton strings

2006

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“…As we will show in this work, they provide an alternative route to the description of massless higher spins in their full generality, finding their original inspiration in the so-called TDiff-invariant spin-2 theories originally considered in [40,41] and more recently in [42] in connection with unimodular gravity and with the cosmological constant problem. Moreover, in a number of cases one can relate transverse-invariant theories to the triplet Lagrangians emerging from the tensionless limit of the free open string [34,30,35], of which they effectively provide a simplified version retaining the same particle content.…”

Section: Symmetric Tensorsmentioning

confidence: 99%

Maxwell-like Lagrangians for higher spins

Campoleoni

Francia

2013

J. High Energ. Phys.

122

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We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless fields produce single-particle actions, while whenever trace constraints can be dispensed with the resulting Lagrangians display the same reducible, multi-particle spectra as those emerging from the tensionless limit of free open-string field theory. For all explored options the corresponding kinetic operators take essentially the same form as in the spin-one, Maxwell case.

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“…The BRST charge Q that results from this theory is of course precisely the one that produces an infinite tower of gauge fields with actions unified in Φ|Q|Φ [4,5,6,7] 1 .…”

Section: Constraintsmentioning

confidence: 99%