One-point functions in AdS/dCFT

Abstract

In this review we discuss recent advances in the computation of one-point functions in defect conformal field theories with holographic duals. We briefly review the appearance of integrable spin chains in N=4 super Yang--Mills theory and reformulate the problem of computing one-point functions to determining overlaps between Bethe states and a Matrix Product State. We will then demonstrate how these overlaps can be computed by determinant formulas. This work is based on lectures given at the Young Researchers Integrability School and Workshop 2018. To appear in a special issue of J. Phys. A.

arXiv commentNotes based on the lectures at Young Researchers in Integrability School. To appear in a special issue of J. Phys. A

References in corpus (36)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Review of AdS/CFT Integrability: An Overview
• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holography and Defect Conformal Field Theories
• The Bootstrap Program for Boundary CFT_d
• What is an integrable quench?
• The Noncommutative Bion Core
• Tailoring Three-Point Functions and Integrability
• One-point Functions in Defect CFT and Integrability
• A Shortcut to the Q-Operator
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• One-point Functions in AdS/dCFT from Matrix Product States
• Non-abelian Brane Intersections
• AdS/dCFT one-point functions of the SU(3) sector
• Longitudinal 5-branes as 4-spheres in Matrix theory
• Determinant formula for the six-vertex model with reflecting end
• Scalar one-point functions and matrix product states of AdS/dCFT
• Lectures on the Bethe Ansatz
• 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
• Overlaps of Partial Neel States and Bethe States
• Holographic Interface-Particle Potential
• Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
• A Quantum Check of AdS/dCFT
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• Circular Wilson loops in defect Conformal Field Theory
• Quark-antiquark potential in defect conformal field theory
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• One-point functions in $\beta$-deformed N = 4 SYM with defect

Cited by in corpus (18)

• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Introduction to classical and quantum integrability
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• String integrability of defect CFT and dynamical reflection matrices
• String integrability of the ABJM defect
• A non-integrable quench from AdS/dCFT
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Integrable spin chains and cellular automata with medium range interaction
• Holographic correlators of semiclassical states in defect CFTs
• B-type anomaly coefficients for the D3-D5 domain wall
• Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond $K=1$
• Exact solution of the quantum integrable model associated with the twisted $D_3^{(2)}$ algebra
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Majorana fermions solve the tetrahedron equations as well as higher simplex equations
• One-point functions for doubly-holographic BCFTs and backreacting defects
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Wilson Loops and Integrability
• B-type anomaly coefficients for the D3-D7 domain wall