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Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
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Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
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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.
Forward citations
Cited by 2 Pith papers
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Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations
Integrable chiral and achiral n-site boundary states of the ABJM spin chain are obtained by solving KT-relations for elementary blocks and K(u), with nontrivial solutions for even n and operator-valued 1-site Clifford pairs.
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Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations
A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.
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