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One-point functions in defect CFT and integrability

Journal of High Energy Physics, Springer Nature, ISSN 1126-6708

Volume 2015, 8, 2015

DOI:10.1007/jhep08(2015)098, Dimensions: pub.1039133703,


* Corresponding author



  1. (1) University of Copenhagen, grid.5254.6, KU
  2. (2) Stockholm University, grid.10548.38
  3. (3) Uppsala University, grid.8993.b







We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in the operator basis of Bethe eigenstates of the Heisenberg XXX1/2 spin chain we express the one-point functions as overlaps of these eigenstates with a matrix product state. For k = 2 we obtain a closed expression of determinant form for any number of excitations, and in the case of half-filling we find a relation with the Néel state. In addition, we present a number of results for the limiting case k → ∞.

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