A non-integrable quench from AdS/dCFT

Abstract

We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfill a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

arXiv comment6 pages

References in corpus (23)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• What is an integrable quench?
• The Noncommutative Bion Core
• One-point Functions in Defect CFT and Integrability
• The KPZ equation with flat initial condition and the directed polymer with one free end
• One-point Functions in AdS/dCFT from Matrix Product States
• Quantum Hall Effect in a Holographic Model
• Non-abelian Brane Intersections
• Transport Properties of Holographic Defects
• AdS/dCFT one-point functions of the SU(3) sector
• Scalar one-point functions and matrix product states of AdS/dCFT
• One-loop one-point functions in gauge-gravity dualities with defects
• Asymptotic one-point functions in AdS/dCFT
• Exact solution for the quench dynamics of a nested integrable system
• Expectation values of chiral primary operators in holographic interface CFT
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• One-point functions in AdS/dCFT
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin

Cited by in corpus (7)

• Spin Chain Overlaps and the Twisted Yangian
• On exact overlaps in integrable spin chains
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz
• B-type anomaly coefficients for the D3-D5 domain wall
• Wilson lines in AdS/dCFT
• B-type anomaly coefficients for the D3-D7 domain wall