One-point functions in defect CFT and integrability

By M. Leeuw, C. Kristjansen, K. Zarembo. Journal of High Energy Physics, 2015

146 citations recorded by the source corpus.

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 → ∞.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/97ea8193cef9433eebc0adad29d8de7c7e89a82f

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In Atomic and Molecular Physics, and Optics

  1. Edoardo Lauria
  2. M. Billò
  3. M. Meineri
  4. V. Gonçalves

In Nuclear and High Energy Physics

  1. M. Meineri
  2. Edoardo Lauria
  3. M. Billò
  4. V. Gonçalves
  5. C. Sleight
  6. Eric Perlmutter
  7. David Simmons-Duffin

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