Overlaps for matrix product states of arbitrary bond dimension in ABJM theory
Tamás Gombor, Charlotte Kristjansen
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.
Topics & Concepts
PhysicsDimension (graph theory)Scalar (mathematics)Eigenvalues and eigenvectorsProduct (mathematics)Matrix (chemical analysis)Mathematical physicsMatrix multiplicationTheoretical physicsQuantum mechanicsPure mathematicsGeometryMathematicsComposite materialMaterials scienceQuantumPhysics of Superconductivity and MagnetismQuantum many-body systemsBlack Holes and Theoretical Physics