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Coulomb Branch and Integrability

Frank Coronado, Shota Komatsu, Konstantin Zarembo

8/6/25 Published in : arXiv:2506.07222

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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Phase III direction(s)

  • Holography and bulk-boundary correspondence
  • From Field Theory to Geometry and Topology

Exact Three-Point Functions in Superconformal Field Theories: Integrability vs. Localization

Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge

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