One-point functions in defect CFT and integrability
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 098Article in journal (Refereed) Published
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
Bethe Ansatz, Lattice Integrable Models, AdS-CFT Correspondence, 1/N Expansion
IdentifiersURN: urn:nbn:se:uu:diva-267684DOI: 10.1007/JHEP08(2015)098ISI: 000363530000001OAI: oai:DiVA.org:uu-267684DiVA: diva2:873849
FunderSwedish Research Council, 2013-4329EU, FP7, Seventh Framework Programme, 317089