Higher spins and open strings: Quartic interactions

Polyakov, Dimitri

doi:10.1103/physrevd.83.046005

Cited by 38 publications

(46 citation statements)

References 58 publications

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“…This approach is based on new physical [Becchi-Rouet-Stora-Tyutin (BRST) invariant and nontrivial] vertex operators that we analyzed in previous works (see, e.g., [66]) that are essentially coupled to the -system of superconformal ghosts in Ramond-Neveu-Schwarz formulation of superstring theory (RNS) formalism. This ghost coupling cannot be removed by picture-changing transformation and can be classified in terms of ghost cohomologies [66,67]. This class of vertex operators is ghost picture-dependent, distinguishing them from standard operators such as a photon or a graviton, which exist at any picture.…”

Section: Introductionmentioning

confidence: 99%

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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: Introductionmentioning

confidence: 99%

“…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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“…A preliminary step towards this goal would be to construct the most general consistent cubic couplings. 2 Among them, only a subset is expected to be compatible with higher-order interactions [31][32][33] and lead eventually to fully non-linear theories.…”

Section: Introductionmentioning

confidence: 99%

Generating functions of (partially-)massless higher-spin cubic interactions

Joung

López

Taronna

2013

J. High Energ. Phys.

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Generating functions encoding cubic interactions of (partially-)massless higherspin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their factorized form. We find that the number of consistent couplings increases whenever the squares of the field masses take some integer values (in units of the cosmological constant) and satisfy certain conditions. Moreover, it is shown that only the supplemental solutions can give rise to non-Abelian deformations of the gauge symmetries. The presence of these conditions on the masses is a distinctive feature of (A)dS interactions that has in general no direct counterpart in flat space.

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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: 97%

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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Higher spins and open strings: Quartic interactions

Cited by 38 publications

References 58 publications

String amplitudes and framelike formalism for higher spins

String amplitudes and framelike formalism for higher spins

Generating functions of (partially-)massless higher-spin cubic interactions

Scattering amplitudes in open superstring theory

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