General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Buchbinder, I. L.; Reshetnyak, A. A.

doi:10.48550/arxiv.2105.12030

Cited by 10 publications

(29 citation statements)

References 21 publications

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“…in the metric-like [26][27][28], and the framelike [29][30][31][32][33][34][35] formalisms. The most close to the light-cone classification results were obtained in the BRST-BV formalism [36] in terms of the reducible sets of fields (see, however, [37]).…”

Section: Introductionsupporting

confidence: 75%

On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

Khabarov,

Zinoviev

2021

Preprint

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In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well as its gravitational interaction. In the first case we show that the vertex can be reduced (by field redefinitions) to the set of the trivially gauge invariant terms. There are four such terms which are not equivalent om-shell and do not contain more than four derivatives. Moreover, one their particular combination reproduces the minimal (with no more than two derivatives) vertex. As for the gravitational vertex, we show that due to the presence of the massless spin 2 there exist two abelian vertices (besides the three trivially gauge invariant ones) which are not equivalent to any trivially gauge invariant terms and can not be removed by field redefinitions. Moreover, their existence appears to be crucial for the possibility to reproduce the minimal two derivatives vertex.

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Section: Introductionsupporting

confidence: 75%

On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

Khabarov,

Zinoviev

2021

Preprint

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“…This state space BRST operator is a reflection of the BRST symmetry of the target space fields as generated from the antibracket in the Lagrangian path integral formulation. Interestingly, similar state space BRST operators have been constructed to describe higher spin gauge fields [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. This is another indication of the close relation between higher spins and string theory.…”

Section: Introductionmentioning

confidence: 87%

Superspace BRST/BV operators of superfield gauge theories

Buchbinder¹,

Gates²,

Koutrolikos³

2021

Preprint

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We consider the superspace BRST and BV description of 4D, N = 1 Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the nilpotent superspace BRST symmetry transformation (s). After introducing an appropriate set of anti-superfields and define the superspace antibracket, we use it to construct the BV-BRST nilpotent differential operator (s) in terms of superspace covariant derivatives. The anti-superfield independent terms of s provide a superspace generalization of the Koszul-Tate resolution (δ).In the linearized limit, the set of superspace differential operators that appear in s satisfy a nonlinear algebra which can be used to construct a BRST charge Q without requiring pure spinor variables. Q acts on the Hilbert space of superfield states and its cohomology generates the expected superspace equations of motion.

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“…By using the light-cone formulation 2 , a classification of spin values and the number of derivatives of allowed cubic vertices for totally-symmetric bosonic and fermionic fields was given in [16,17]. In constructing interaction vertices explicitly, the Noether's procedure is used in [18][19][20][21], and the BRST approach to impose gauge invariances is used in [22][23][24][25][26][27][28][29] on flat spacetime and in [30,31] on AdS spaces (see [32,33] for review).…”

Section: Introductionmentioning

confidence: 99%

Interacting Higher-Spin Gauge Models in BRST-antifield Formalism

Fujii¹,

Kanehisa²,

Sakaguchi

et al. 2021

Preprint

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Interacting higher-spin gauge models including fermions are derived in the BRST-antifield formalism. We introduce massless totally-symmetric rank-n tensor-spinors, which is Dirac spinors in D-dimensional spacetime, as well as massless bosonic totally-symmetric tensors. By applying the BRST deformation scheme, the free higher-spin gauge theory is deformed such that the deformed action S would satisfy the master equation (S, S) = 0. We obtain interactions of two fermions and one boson, and those of a fermion and a boson in turn. They contain all orders in the deformation parameter and satisfy the master equation exactly. Employing the BRST deformation scheme built on AdS spaces, we derive interacting higher-spin gauge models including fermions on AdS spaces as well. We also consider the case that infinite series contained in our models are convergent.

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General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Cited by 10 publications

References 21 publications

On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case

Superspace BRST/BV operators of superfield gauge theories

Interacting Higher-Spin Gauge Models in BRST-antifield Formalism

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