Article open access publication

One-point functions of non-protected operators in the SO(5) symmetric D3–D7 dCFT

Journal of Physics A: Mathematical and Theoretical, IOP Publishing, ISSN 1751-8113

Volume 50, 25, 2017

DOI:10.1088/1751-8121/aa714b, Dimensions: pub.1085345918,



  1. (1) University of Copenhagen, grid.5254.6, KU
  2. (2) Author to whom any correspondence should be addressed.
  3. (3) Institute of Nuclear and Particle Physics, N.C.S.R., 'Demokritos', 153 10 Agia Paraskevi, Greece
  4. (4) National and Kapodistrian University of Athens, grid.5216.0
  5. (5) Submitted to Journal of Physics A: Mathematical and Theoretical: Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish







We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on SYM, which is dual to the SO(5) symmetric D3–D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU(2) and SU(3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.


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