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AdS/dCFT one-point functions of the SU(3) sector

Physics Letters B, Elsevier, ISSN 1873-2445

Volume 763, 2016

DOI:10.1016/j.physletb.2016.10.044, Dimensions: pub.1003289559,

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  1. (1) University of Copenhagen, grid.5254.6, KU

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Denmark

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Europe

Description

We propose a closed formula for the tree-level one-point functions of non-protected operators belonging to an SU(3) sub-sector of the defect CFT dual to the D3–D5 probe brane system with background gauge field flux, k, valid for k=2. The formula passes a number of non-trivial analytical and numerical tests. Our proposal is based on expressing the one-point functions as an overlap between a Bethe eigenstate of the SU(3) spin chain and a certain matrix product state, deriving various factorization properties of the Gaudin norm and performing explicit computations for shorter spin chains. As its SU(2) counterpart, the one-point function formula for the SU(3) sub-sector is of determinant type. We discuss the differences with the SU(2) case and the challenges in extending the present formula beyond k=2.

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Times Cited: 33

Field Citation Ratio (FCR): 11.34

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