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One-point functions in defect CFT and integrability
Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark..
Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Kth Royal Inst Technol, NORDITA, SE-10691 Stockholm, Sweden.;Stockholm Univ, SE-10691 Stockholm, Sweden..
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 098Article in journal (Refereed) Published
Abstract [en]

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 Neel state. In addition, we present a number of results for the limiting case k -> infinity.

Place, publisher, year, edition, pages
2015. no 8, 098
Keyword [en]
Bethe Ansatz, Lattice Integrable Models, AdS-CFT Correspondence, 1/N Expansion
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-267684DOI: 10.1007/JHEP08(2015)098ISI: 000363530000001OAI: diva2:873849
Swedish Research Council, 2013-4329EU, FP7, Seventh Framework Programme, 317089
Available from: 2015-11-25 Created: 2015-11-25 Last updated: 2015-11-25Bibliographically approved

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