Frame-like actions for massless mixed-symmetry fields in Minkowski space. Fermions

Skvortsov, Evgeny; Zinoviev, Yu. M.

doi:10.1016/j.nuclphysb.2010.10.012

Cited by 36 publications

(16 citation statements)

References 35 publications

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“…t 1 t 2 p ðkÞ! abjcd m ðqÞ Â nm pd 1 36 s 1 a s 2 b t 1 c q t 2 þ 4 3 t 1 a s 1 b t 2 c k s 2 þ 1 12 s 1 t 1 s 2 a t 2 b k c À s 1 t 1 s 2 a t 2 c p b þ Symmðm; a; bÞ : (48) This concludes the calculation of the 3-derivative part of the cubic vertex. Inclusion of the appropriate Chan-Paton's indices is straightforward and leads to vertices of the type considered in [20,73].…”

Section: Three-point Amplitude and 3-derivative Vertexmentioning

confidence: 54%

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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Section: Three-point Amplitude and 3-derivative Vertexmentioning

confidence: 54%

String amplitudes and framelike formalism for higher spins

Lee

Polyakov

2012

Phys. Rev. D

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“…As a matter of fact, vanishing of p ½c Ã ab -type insertions to correlators is just a particular example of a general property of S-matrix elements of s ¼ 3 vertex operators coupling 3-tensors with hooklike Young diagrams-It can be shown that such operators do not contribute to S-matrices, which is reminiscent of what happens in the framelike approach [11,42,[49][50][51], where contributions with hooklike symmetries are eliminated by algebraic constraints. Therefore, the correlators are invariant under shifting symmetric tensor H abc by symmetrized derivative of Ã, implying the gauge symmetry (6) in the field theory limit.…”

Section: Introductionmentioning

confidence: 98%

Higher spins and open strings: Quartic interactions

Polyakov

2011

Phys. Rev. D

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We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their 4-point amplitudes in superstring theory. The kinematic part of the quartic interactions of the higher spins is determined by the matter structure of their vertex operators; the nonlocality of the interactions is the consequence of the specific ghost structure of these operators. We compute explicitly the 4-point amplitude describing the complete gauge-invariant 1 À 1 À 3 À 3 quartic interaction (two massless spin 3 particles interacting with two photons) and comment on more general 1 À 1 À s À s cases, particularly pointing out the structure of 1 À 1 À 5 À 5 coupling.

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“…It seems that the frame-like approach contains more information about interactions even at the linear level. Another example of this phenomenon was observed in [57], where a simple argument prevents constructing Lagrangians for certain types of fermionic fields, which is highly nontrivial to see in the metric-like approach [58,59]. The gravitational interactions for fields that are described by forms of higher degree in the frame-like approach are severely constrained, see e.g.…”

Section: Discussionmentioning

confidence: 99%

Non-Abelian cubic vertices for higher-spin fields in AdS d

Boulanger

Ponomarev

Skvortsov

2013

J. High Energ. Phys.

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We use the Fradkin-Vasiliev procedure to construct the full set of non-abelian cubic vertices for totally symmetric higher spin gauge fields in AdS d space. The number of such vertices is given by a certain tensor-product multiplicity. We discuss the one-to-one relation between our result and the list of non-abelian gauge deformations in flat space obtained elsewhere via the cohomological approach. We comment about the uniqueness of Vasiliev's simplest higher-spin algebra in relation with the (non)associativity properties of the gauge algebras that we classified. The gravitational interactions for (partially)-massless (mixed)-symmetry fields are also discussed. We also argue that those mixed-symmetry and/or partially-massless fields that are described by one-form connections within the frame-like approach can have nonabelian interactions among themselves and again the number of nonabelian vertices should be given by tensor product multiplicities.

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Frame-like actions for massless mixed-symmetry fields in Minkowski space. Fermions

Abstract: A frame-like action for massless mixed-symmetry fermionic fields in Minkowski space is constructed. The action is uniquely determined by gauge invariance. * skvortsov@lpi.ru † yurii.zinoviev@ihep.ru

Cited by 36 publications

References 35 publications

String amplitudes and framelike formalism for higher spins

String amplitudes and framelike formalism for higher spins

Higher spins and open strings: Quartic interactions

Non-Abelian cubic vertices for higher-spin fields in AdS d

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