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.

arXiv comment7 pages

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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