One-point functions in defect CFT and integrability

doi:10.1007/JHEP08(2015)098

One-point functions in defect CFT and integrability

2015-08-19

103

OA

AI

M

Marius de Leeuw *

C

Charlotte Kristjansen

K

Konstantin Zarembo

DOI：10.1007/JHEP08(2015)098

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Abstract

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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.

Keywords:

Bethe Ansatz

Lattice Integrable Models

AdS-CFT Correspondence

1/N Expansion

One-point functions in defect CFT and integrability

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