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

Abstract

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 the differences with the SU(2) case and the challenges in extending the present formula beyond k=2.

arXiv comment6 pages

References in corpus (14)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Review of AdS/CFT Integrability: An Overview
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holography and Defect Conformal Field Theories
• The Noncommutative Bion Core
• Tailoring Three-Point Functions and Integrability
• One-point Functions in Defect CFT and Integrability
• One-point Functions in AdS/dCFT from Matrix Product States
• A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
• Néel-XXZ state overlaps: odd particle numbers and Lieb-Liniger scaling limit
• Overlaps of $q$-raised Néel states with XXZ Bethe states and their relation to the Lieb-Liniger Bose gas
• Overlaps of Partial Neel States and Bethe States
• Expectation values of chiral primary operators in holographic interface CFT
• Chiral primary one-point functions in the D3-D7 defect conformal field theory

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