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arXiv · 2506.07222

Coulomb Branch and Integrability

Frank Coronado·Shota Komatsu·Konstantin Zarembo
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Abstract

We study one-point functions of non-BPS single-trace operators on the Coulomb branch of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holography relates them to overlaps between on-shell closed string states and a boundary state describing a probe D3-brane in $AdS_5\times S^{5}$. Assuming that the D-brane preserves integrability, we formulate and solve integrable bootstrap equations satisfied by the boundary state at finite 't Hooft coupling. This leads to a closed-form determinant expression for one-point functions at finite coupling, valid for sufficiently long operators. We test the result against direct field theory computations at tree level and one loop, finding perfect agreement.

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Frank Coronado, Shota Komatsu, Konstantin Zarembo. 2025-06-08. Coulomb Branch and Integrability. https://arxiv.org/abs/2506.07222

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