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Veneziano amplitude of Vasiliev theory

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  • Published: 05 October 2018
  • Volume 2018, article number 34, (2018)
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Veneziano amplitude of Vasiliev theory
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  • Gustavo J. Turiaci1 &
  • Alexander Zhiboedov2 

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A preprint version of the article is available at arXiv.

Abstract

We compute the four-point function of scalar operators in CFTs with weakly broken higher spin symmetry at arbitrary ’t Hooft coupling. We use the known three-point functions in these theories, the Lorentzian OPE inversion formula and crossing to fix the result up to the addition of three functions of the cross ratios. These are given by contact Witten diagrams in AdS and manifest non-analyticity of the OPE data in spin. We use Schwinger-Dyson equations to provide strong numerical evidence that such terms are absent in the large N Chern-Simons matter theories. The result is that the OPE data is analytic in spin up to J = 0.

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  1. Department of Physics, Princeton University, Princeton, NJ, 08544, U.S.A.

    Gustavo J. Turiaci

  2. Department of Physics, Harvard University, Cambridge, MA, 02138, U.S.A.

    Alexander Zhiboedov

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  1. Gustavo J. Turiaci
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  2. Alexander Zhiboedov
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Correspondence to Gustavo J. Turiaci.

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ArXiv ePrint: 1802.04390

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Turiaci, G.J., Zhiboedov, A. Veneziano amplitude of Vasiliev theory. J. High Energ. Phys. 2018, 34 (2018). https://doi.org/10.1007/JHEP10(2018)034

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  • Received: 04 July 2018

  • Accepted: 01 October 2018

  • Published: 05 October 2018

  • DOI: https://doi.org/10.1007/JHEP10(2018)034

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Keywords

  • Chern-Simons Theories
  • Conformal Field Theory
  • Higher Spin Symmetry

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