Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory

Abstract

We find a closed formula for the overlap of Bethe eigenstates of an alternating $SU(4)$ spin chain, describing the scalar sector of ABJM theory, and matrix product states of any bond dimension representing 1/2 BPS co-dimension one domain walls in the field theory. One point functions of the defect CFTs involved, being directly expressible in terms of these overlaps, are hence completely determined.

7 pages

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• What is an integrable quench?
• The all loop AdS4/CFT3 Bethe ansatz
• AdS/dCFT one-point functions of the SU(3) sector
• Integrable domain walls in ABJM theory
• Crosscap States in Integrable Field Theories and Spin Chains
• String integrability of the ABJM defect

Cited by in corpus (5)

• Wilson-loop One-point Functions in ABJM Theory
• Holographic correlators of semiclassical states in defect CFTs
• Integrable Crosscap States: From Spin Chains to 1D Bose Gas
• Integrable crosscaps in classical sigma models
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain