Bi-local fields in AdS5 spacetime

  • Kenichi Aouda
  • Shigefumi Naka
  • Haruki Toyoda
Open Access
Regular Article - Theoretical Physics


Recently, the bi-local fields attract the interest in studying the duality between O(N) vector model and a higher-spin gauge theory in AdS spacetime. In those theories, the bi-local fields are realized as collective one’s of the O(N ) vector fields, which are the source of higher-spin bulk fields. Historically, the bi-local fields are introduced as a candidate of non-local fields by Yukawa. Today, Yukawa’s bi-local fields are understood from a viewpoint of relativistic two-particle bound systems, the bi-local systems. We study the relation between the bi-local collective fields out of higher-spin bulk fields and the fields out of the bi-local systems embedded in AdS5 spacetime with warped metric. It is shown that the effective spring constant of the bi-local system depends on the brane, on which the bi-local system is located. In particular, a bi-local system with vanishing spring constant, which is similar to the bi-local collective fields, can be realized on a low-energy IR brane.


AdS-CFT Correspondence Field Theories in Higher Dimensions Higher Spin Gravity 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of Physics, College of Science and TechnologyNihon UniversityTokyoJapan
  2. 2.Junior College, Funabashi CampusNihon UniversityFunabashiJapan

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