<p>The Coulomb branch of the <i>N</i> = 4 super-Yang-Mills theory is described by a D3-brane in the bulk of <i>AdS</i><sub>5</sub> × <i>S</i><sup>5</sup>. We show that the boundary conditions on the D-brane preserve integrability of the string sigma-model by constructing a dynamical and spectral parameter dependent reflection matrix that encodes an infinite number of conserved charges.</p>

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String integrability on the Coulomb branch

  • Ron Demjaha,
  • Konstantin Zarembo

摘要

The Coulomb branch of the N = 4 super-Yang-Mills theory is described by a D3-brane in the bulk of AdS5 × S5. We show that the boundary conditions on the D-brane preserve integrability of the string sigma-model by constructing a dynamical and spectral parameter dependent reflection matrix that encodes an infinite number of conserved charges.