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Universality at large transverse spin in defect CFT

  • Regular Article - Theoretical Physics
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  • Published: 17 September 2018
  • Volume 2018, article number 91, (2018)
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Universality at large transverse spin in defect CFT
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  • Madalena Lemos  ORCID: orcid.org/0000-0001-7410-22511,
  • Pedro Liendo  ORCID: orcid.org/0000-0002-8752-66911,
  • Marco Meineri2 &
  • …
  • Sourav Sarkar  ORCID: orcid.org/0000-0001-9474-54573,4 

  • 610 Accesses

  • 60 Citations

  • 2 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function [1]. Analyticity of the formula in s implies that the scaling dimensions of the defect operators are aligned in Regge trajectories \( \widehat{\Delta}(s) \). These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large s spectrum in the spirit of the work of Alday and Maldacena [2].

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Authors and Affiliations

  1. DESY Hamburg, Theory Group, Notkestraße 85, D-22607, Hamburg, Germany

    Madalena Lemos & Pedro Liendo

  2. Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Rte de la Sorge, BSP 728, CH-1015, Lausanne, Switzerland

    Marco Meineri

  3. Institut für Physik und Institut für Mathematik, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, 12489, Berlin, Germany

    Sourav Sarkar

  4. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476, Potsdam, Germany

    Sourav Sarkar

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  1. Madalena Lemos
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Correspondence to Marco Meineri.

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ArXiv ePrint: 1712.08185

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Lemos, M., Liendo, P., Meineri, M. et al. Universality at large transverse spin in defect CFT. J. High Energ. Phys. 2018, 91 (2018). https://doi.org/10.1007/JHEP09(2018)091

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  • Received: 06 August 2018

  • Accepted: 05 September 2018

  • Published: 17 September 2018

  • DOI: https://doi.org/10.1007/JHEP09(2018)091

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Keywords

  • Conformal Field Theory
  • Boundary Quantum Field Theory
  • Wilson, ’t Hooft and Polyakov loops
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