Interactions of massless higher spin fields from string theory

Polyakov, Dimitri

doi:10.1103/physrevd.82.066005

Cited by 43 publications

(40 citation statements)

References 54 publications

(94 reference statements)

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“…the variation of the Lagrangian (7.23) vanishes only up to some weird contributions of the form 24) JHEP04 (2017)068 where the presence of the double divergences points to the same mechanism of deformation of the constraint that we have already discussed in the flat case. In fact we can observe that, relaxing the transversality constraint on the parameter, the variation of the free Lagrangian reads: 25) from which it is apparent that we can exactly compensate the (D 2 2 + λT 2 )-terms appearing in δ 0 L 1 by means of an appropriate deformation of the transversality constraint.…”

Section: Deformation Of the Constraintmentioning

confidence: 99%

“…For this reason if we were to follow the standard Noether prescription in this setting and look for a solution of the same form as (4.22) above, 25) we would find that the contributionδ (0) 1 ϕ (s 1 ) to the deformation of the gauge transformation would be non-local. This is the reason why, in order to achieve gauge-invariance of the cubic vertex in a fully local setting, we have to resort to the possibility that the transversality constraint gets itself corrected by field-dependent terms.…”

Section: Deformation Of the Transversality Constraintmentioning

confidence: 99%

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Cubic interactions of Maxwell-like higher spins

Francia

Monaco

Mkrtchyan

2017

J. High Energ. Phys.

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We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings among different particles of various spins. The resulting vertices do not involve traces of the fields and in this sense are simpler than their Fronsdal counterparts. We propose an extension of both the free theory and of its cubic deformation to a more general class of partially reducible systems, that one can obtain from the original theory upon imposing trace constraints of various orders. The key to our results is a version of the Noether procedure allowing to systematically account for the deformations of the transversality conditions to be imposed on the gauge parameters at the free level.

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Section: Deformation Of the Constraintmentioning

confidence: 99%

Section: Deformation Of the Transversality Constraintmentioning

confidence: 99%

Cubic interactions of Maxwell-like higher spins

Francia

Monaco

Mkrtchyan

2017

J. High Energ. Phys.

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“…String theory appears to be a particularly efficient and natural framework to construct and analyze consistent gauge-invariant interactions of higher spins [4][5][6]21,22,34,36,37,[59][60][61][62][63][64][65][66][67][68].…”

Section: Introductionmentioning

confidence: 99%

String amplitudes and framelike formalism for higher spins

Lee

Polyakov

2012

Phys. Rev. D

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We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's framelike formalism and perform their extended Becchi-Rouet-Stora-Tyutin analysis. Gauge symmetry transformations, generalized zero torsion constraints relating extra fields to the dynamical framelike field, and the relation between the dynamical framelike field and fully symmetric Fronsdal's field for spin 3 are all realized in terms of Becchi-Rouet-Stora-Tyutin constraints on these vertex operators in string theory.Using the construction, we analyze the 3-point correlator for the spin 3 field and calculate Chern-Simons type cubic interactions described by the 3-derivative Berends-Burgers-Van Dam type vertex in the framelike formalism.

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“…and a large class of three-and four point scattering amplitudes was computed for states with higher spin content on the bosonic side of the heterotic string. Further interesting results on scattering of exotic massless higher spin states from a decoupled sector of superstring theory can be found in recent work [270,271].…”

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confidence: 88%

Scattering amplitudes in open superstring theory

Schlotterer

2011

Fortschritte der Physik

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This review is concerned with scattering amplitudes in open superstring theories. In particular, we introduce two different formalisms to compute tree level amplitudes – the Ramond Neveu Schwarz‐ (RNS‐) and the Pure Spinor (PS‐) formalism. The RNS approach proves to be flexible in describing compactifications from ten to four flat spacetime dimensions. We solve the technical problems due to the underlying interacting conformal field theory on the worldsheet. This is exploited to extract phenomenologically relevant scattering amplitudes of gluons and quarks as well as production‐ and decay rates of massive vibration modes which have already been identified as virtual exchange particles at the massless level. In case of a TeV string scale, string specific signatures in parton collisions might be observed at the LHC experiment in the near future and constitute the first experimental evidence for string theory. These statements apply to a wide class of string vacua and therefore bypass the so‐called landscape problem of string theory. The PS formalism allows for a manifestly supersymmetric treatment of scattering amplitudes in ten spacetime dimensions with sixteen supercharges. We introduce a family of superfields which arises in tree amplitudes of massless open string states and can be naturally identified with diagrams made of cubic vertices. We firstly achieve a compact superspace representation of multiparticle field theory amplitudes and moreover express the complete n point superstring amplitude as a minimal linear combination of partial field theory amplitudes and hypergeometric functions. The latter carry the stringy effects and are analyzed from different perspectives.

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Interactions of massless higher spin fields from string theory

Cited by 43 publications

References 54 publications

Cubic interactions of Maxwell-like higher spins

Cubic interactions of Maxwell-like higher spins

String amplitudes and framelike formalism for higher spins

Scattering amplitudes in open superstring theory

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