Consistent deformations of [p,p]-type gauge field theories

Nicolas Boulanger; Sandrine Cnockaert

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Consistent deformations of [p,p]-type gauge field theories

Nicolas Boulanger, Sandrine Cnockaert

High Energy Physics - Theory · Submitted 23 Feb 2004

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The authors' main claim Under the assumptions of locality and Poincare invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations.

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Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1. Under the assumptions of locality and Poincare invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations. Adding the requirement that the deformation contains no more than two derivatives, the only possible deformation is a cosmological-constant-like term.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1.	contribution 0.97	0.94	0.04	asserted 0.84
s1	Under the assumptions of locality and Poincare invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations.	result 1.00	0.96	0.83	asserted 1.00
s2	Adding the requirement that the deformation contains no more than two derivatives, the only possible deformation is a cosmological-constant-like term.	result 1.00	0.91	0.22	asserted 1.00

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The paper

Original abstract

Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1. Under the assumptions of locality and Poincare invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations. Adding the requirement that the deformation contains no more than two derivatives, the only possible deformation is a cosmological-constant-like term.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
hep-th 2026-06 unverdicted novelty 6.5 of 10

Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.
Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
hep-th 2012-11 conditional novelty 6.0 of 10

Every non-abelian cubic coupling of totally symmetric higher-spin fields in anti-de Sitter space is counted by the tensor-product multiplicity of two-row Young diagrams, matching the flat-space classification.
Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
hep-th 2011-07 conditional novelty 6.0 of 10

Cubic interactions of tall-hook mixed-symmetry gauge fields with gravity and themselves in anti-de Sitter space follow from the even Clifford algebra, with all coupling coefficients fixed by consistency.

How the literature uses it

12 arXiv papers cite this in 16 sentences

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Papers citing it · 5 sentences without a confident label

Uses its method or tool 1 paper

In Section [ref], using the cohomological reformulation of the Nöther method [ref] and the results previously obtained in [ref] , we give the exhaustive list of cubic vertices in flat background corresponding to the set of fields used in Sections [ref] and [ref].

Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds · Introduction · 0.94

Cites it as background 8 papers

In flat space, the problem of the self-interactions for arbitrary type-$[p,q]$ gauge fields was thoroughly studied in [ref] via the cohomological reformulation [ref] of the Nöther procedure for constructing consistent interactions [ref] .

Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds · Gravitational interactions of type$$-$[2,1]$ field in flat space: metric-like Stückelberg formulation and BV-BRST approa · 0.81
As far as the problem of finding consistent interactions for mixed-symmetry fields is concerned, some analysis have been done in flat background [ref] , but in $$ background almost nothing has been achieved apart from the very recent works [ref] (see also the earlier works [ref] ) and [ref] .

Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime · Introduction · 0.92
There exists a number of works devoted to investigation of possible interactions for such fields [ref] , but till now most of them produce so called "no-go" results (note however light-cone results [ref] and recent work [ref] ).

On electromagnetic interactions for massive mixed symmetry field · Introduction · 0.96

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