Open Spin Chains from Determinant Like Operators in ABJM Theory

Abstract

We study the mixing problem of the determinant like operators in ABJM theory to two loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping a ${\mathbb{CP}}^2$ inside ${\mathbb{CP}}^3$ in our case. The anomalous dimension matrix of these operators can be regarded as an open spin chain Hamiltonian. We provide strong evidence of its integrability based on coordinate Bethe ansatz method and boundary Yang-Baxter equation.

arXiv comment11 pages, no figures; v2, typos corrected, references added, 11 pages, no figures; v3 typos fixed, 11 pages, no figures

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• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
• Three-Point Functions in ABJM and Bethe Ansatz
• Giant Gravitons Intersecting at Angles from Integrable Spin Chains
• Boundary bound states and integrable Wilson loops in ABJM