Massless mixed-symmetry bosonic free fields

Labastida, J.M.F.; Morris, Tim R.

doi:10.1016/0370-2693(86)90143-7

Cited by 89 publications

(161 citation statements)

References 13 publications

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“…[66]- [68]. v) Mixed-symmetry fields [69,70] have attracted considerable interest in recent time (see e.g. Refs.…”

Section: Discussionmentioning

confidence: 99%

Ordinary-derivative formulation of conformal low-spin fields

Metsaev

2012

J. High Energ. Phys.

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Conformal fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative formulation for spin 0, 1, 2 conformal bosonic fields and first-derivative formulation for spin 1/2, 3/2 conformal fermionic fields are developed. For the spin 1, 3/2, 2 conformal fields, we obtain gauge invariant Lagrangians and the corresponding gauge transformations. Gauge symmetries are realized by involving Stueckelberg fields and auxiliary fields. Realization of global conformal boost symmetries is obtained. Modified Lorentz and de Donder gauge conditions are introduced. Ordinary-derivative Lagrangian of interacting Weyl gravity in 4d is obtained. In our approach, the field content of Weyl gravity, in addition to conformal graviton field, includes one auxiliary rank-2 symmetric tensor field and one Stueckelberg vector field. With respect to the auxiliary tensor field, the Lagrangian contains, in addition to other terms, the Pauli-Fierz mass term. Using the ordinary-derivative Lagrangian of Weyl gravity, we discuss interrelation of Einstein AdS gravity and Weyl gravity via breaking conformal gauge symmetries. Also, we demonstrate use of the light-cone gauge for counting on-shell degrees of freedom in higher-derivative conformal field theories. *

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“…[66]- [68]. v) Mixed-symmetry fields [69,70] have attracted considerable interest in recent time (see e.g. Refs.…”

Section: Discussionmentioning

confidence: 99%

Ordinary-derivative formulation of conformal low-spin fields

Metsaev

2012

J. High Energ. Phys.

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“…. , 1) [40] and "two-column" diagrams (ℓ 1 , ℓ 2 ) [41,42] in approaches where trace constraints are imposed on the higher-spin fields. On the one hand, a decisive step towards the explicit completion of the Fierz-Pauli programme has been performed in the OSp(1, 1|2) formalism [18].…”

Section: Local Actionsmentioning

confidence: 99%

Tensor Gauge Fields in Arbitrary Representations of GL(D, $${\mathbb{R})}$$ : II. Quadratic Actions

Bekaert

Boulanger

2007

Commun. Math. Phys.

155

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Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulationà la MacDowell-Mansouri, without any trace constraint in the tangent indices.

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“…Irreducible gauge fields in Minkowski backgrounds transform with irreducible parameters obtained stripping one box from the corresponding tableau, in all admissible ways [50]. However, even in this case one can conveniently study the gauge variation of the 17 Considering counterterms involving exchanges of indices would not help.…”

Section: Mixed-symmetry 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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Massless mixed-symmetry bosonic free fields

Cited by 89 publications

References 13 publications

Ordinary-derivative formulation of conformal low-spin fields

Ordinary-derivative formulation of conformal low-spin fields

Tensor Gauge Fields in Arbitrary Representations of GL(D, $${\mathbb{R})}$$ : II. Quadratic Actions

Maxwell-like Lagrangians for higher spins

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