Boundary state bootstrap and asymptotic overlaps in AdS/dCFT

Abstract

We formulate and close the boundary state bootstrap for factorizing K-matrices in AdS/CFT. We found that there are no boundary degrees of freedom in the boundary bound states, merely the boundary parameters are shifted. We use this family of boundary bound states to describe the D3-D5 system for higher dimensional matrix product states and provide their asymptotic overlap formulas. In doing so we generalize the nesting for overlaps of matrix product states and Bethe states.

arXiv comment17 pages, some explanations and references added

References in corpus (29)

• Review of AdS/CFT Integrability: An Overview
• Time evolution of local observables after quenching to an integrable model
• What is an integrable quench?
• On String S-matrix, Bound States and TBA
• 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
• AdS/dCFT one-point functions of the SU(3) sector
• Scalar one-point functions and matrix product states of AdS/dCFT
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• One-loop one-point functions in gauge-gravity dualities with defects
• Néel-XXZ state overlaps: odd particle numbers and Lieb-Liniger scaling limit
• Asymptotic one-point functions in AdS/dCFT
• Spin Chain Overlaps and the Twisted Yangian
• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• Integrable Matrix Product States from boundary integrability
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions
• Integrable quenches in nested spin chains I: the exact steady states
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
• Coordinate Bethe Ansatz for the String S-Matrix
• Boundary TBA, trees and loops
• Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
• On exact overlaps in integrable spin chains
• On perturbative quantum field theory with boundary
• Functional Equations and Separation of Variables for Exact g-Function
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz

Cited by in corpus (12)

• Integrable domain walls in ABJM theory
• Crosscap States in Integrable Field Theories and Spin Chains
• Integrable quenches in the Hubbard model
• On exact overlaps for $\mathfrak{gl}(N)$ symmetric spin chains
• String integrability of defect CFT and dynamical reflection matrices
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• String integrability of the ABJM defect
• Wilson-loop One-point Functions in ABJM Theory
• Wrapping corrections for long range spin chains
• Holographic correlators of semiclassical states in defect CFTs
• A range three elliptic deformation of the Hubbard model
• Three-Point Functions in ABJM and Bethe Ansatz