Higher spin fields with mixed symmetry

Aulakh, Charanjit S.; Koh, I.G.; Ouvry, Stéphane

doi:10.1016/0370-2693(86)90518-6

Cited by 102 publications

(155 citation statements)

References 8 publications

Supporting

Mentioning

154

Contrasting

Order By: Relevance

“…It is one of the reasons why the covariance can not be achieved in the E 8 generalised Lie derivative. Notice that the terms in the parenthesis of (3.30) are exactly the transformation predicted [50,51] for a tensor with a (1, 8) mixed symmetry, on a linearised background. This is not the end of the story, in the next section we will see that as long as the theory is defined on a generalised parallelisable manifold the transformation can be consistently defined in d = 8 and perhaps extended to d > 8.…”

Section: Jhep09(2015)153mentioning

confidence: 77%

“…where, in our case, 51) but in general the only that is required for (3.50) to hold is that C and C ′ are solutions of (3.19), which implies that the Leibniz property holds for any solution of the section condition. This identity has been proven in [41], also one can see that the identity is a consequence of the last line of (3.19) which can be proven from (3.12).…”

Section: Consistency Conditions and Compatibilitymentioning

confidence: 82%

See 1 more Smart Citation

On the exceptional generalised Lie derivative for d ≥ 7

Rosabal

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work we revisit the E 8 × R + generalised Lie derivative encoding the algebra of diffeomorphisms and gauge transformations of compactifications of M-theory on eight-dimensional manifolds, by extending certain features of the E 7 × R + one. Compared to its E d × R + , d ≤ 7 counterparts, a new term is needed for consistency. However, we find that no compensating parameters need to be introduced, but rather that the new term can be written in terms of the ordinary generalised gauge parameters by means of a connection. This implies that no further degrees of freedom, beyond those of the field content of the E 8 group, are needed to have a well defined theory. We discuss the implications of the structure of the E 8 × R + generalised transformation on the construction of the d = 8 generalised geometry. Finally, we suggest how to lift the generalised Lie derivative to eleven dimensions.

show abstract

Section: Jhep09(2015)153mentioning

confidence: 77%

Section: Consistency Conditions and Compatibilitymentioning

confidence: 82%

On the exceptional generalised Lie derivative for d ≥ 7

Rosabal

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…with (2) χ µ 1 ···µ k |ν 1 ···ν k−3 an arbitrary tensor field on M that exhibits the mixed symmetry (k, k − 3), then we find that the gauge transformed parameters (14) strongly vanish…”

Section: Lagrangian Formulation From the Principle Of Gauge Invariancementioning

confidence: 82%

COHOMOLOGICAL BRST ASPECTS OF THE MASSLESS TENSOR FIELD WITH THE MIXED SYMMETRY (k,k)

Ciobirca

Cioroianu

Saliu

2004

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

The main BRST cohomological properties of a free, massless tensor field that transforms in an irreducible representation of GL (D, R), corresponding to a rectangular, two-column Young diagram with k > 2 rows are studied in detail. In particular, it is shown that any nontrivial co-cycle from the local BRST cohomology group H (s|d) can be taken to stop either at antighost number (k + 1) or k, its last component belonging to the cohomology of the exterior longitudinal derivative H (γ) and containing non-trivial elements from the (invariant) characteristic cohomology H inv (δ|d).

show abstract

“…In order to indicate that the field now carries a specific Young-diagram symmetry, we denote it by D µ 1 ...µ D−3 |ν . The characteristics of those mixed Young tableaux fields have been studied independently in [11,23]. First of all, it transforms under two types of gauge transformations,…”

Section: Linearized Dual Gravitymentioning

confidence: 99%

Nonlinear parent action and dual gravity

2008

View full text Add to dashboard Cite

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a 'kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E 11 proposal. June 20081 nicolas.boulanger@sns.it; Work supported by a "Progetto Italia" fellowship. 2 o.hohm@rug.nl

show abstract

Higher spin fields with mixed symmetry

Cited by 102 publications

References 8 publications

On the exceptional generalised Lie derivative for d ≥ 7

On the exceptional generalised Lie derivative for d ≥ 7

COHOMOLOGICAL BRST ASPECTS OF THE MASSLESS TENSOR FIELD WITH THE MIXED SYMMETRY (k,k)

Nonlinear parent action and dual gravity

Contact Info

Product

Resources

About