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  • Open Access

Yang-Mills interaction from boundary vector model

Pavan Dharanipragada1,* and B. Sathiapalan2,3,4,†

  • *Contact author: pavan@physics.iitm.ac.in
  • †Contact author: bala@imsc.res.in
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Phys. Rev. D 112, 086004 – Published 8 October, 2025

DOI: https://doi.org/10.1103/3sy3-pqpw

Abstract

We construct a non-Abelian spin-1 gauge theory with a cubic interaction in AdS4 from the exact renormalization group (ERG) flow of a conformal field theory (CFT) in three dimensions. The latter is the USp(2N) singlet sector of the free field theory of 2N massless complex scalars. The quadratic and cubic terms in the bulk action are those of a gauge fixed version of a (local) gauge invariant action. By construction, this bulk action is the evolution operator for the ERG equation of the boundary theory and thus is guaranteed to reproduce the correct boundary correlators using the usual AdS/CFT prescription. This work expands on the program initiated by one of the authors [A holographic form for Wilson’s RG, Nucl. Phys. B924, 603 (2017)].

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Phys. Rev. D 112, 086004– Published 8 October, 2025
  • Received 6 May 2025
  • Accepted 4 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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