<p>We study correlators of insertions along 1/2 BPS line defects in the holographic dual to type IIB string theory in <i>AdS</i><sub>3</sub> × <i>S</i><sup>3</sup> × <i>T</i><sup>4</sup> with mixed Ramond-Ramond and Neveu Schwarz-Neveu Schwarz three-form flux. These defects break the symmetries of the bulk CFT<sub>2</sub> as PSU(1<i>,</i> 1|2)<sup>2</sup> × SO(4) → PSU(1<i>,</i> 1|2) × SU(2), defining displacement and tilt supermultiplets. We focus on the two-, three- and four-point functions of these supermultiplets, which we compute using analytic conformal bootstrap up to next-to-leading order in their strong-coupling expansion. We obtain a bootstrap result that only depends on two OPE coefficients. We perform a Witten diagram check of the bootstrap result, obtaining an holographic interpretation of the two OPE coefficients that are not constrained by the bootstrap procedure.</p>

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Bootstrapping line defects in AdS3/CFT2

  • Gabriel Bliard,
  • Diego H. Correa,
  • Martín Lagares,
  • Ignacio Salazar Landea

摘要

We study correlators of insertions along 1/2 BPS line defects in the holographic dual to type IIB string theory in AdS3 × S3 × T4 with mixed Ramond-Ramond and Neveu Schwarz-Neveu Schwarz three-form flux. These defects break the symmetries of the bulk CFT2 as PSU(1, 1|2)2 × SO(4) → PSU(1, 1|2) × SU(2), defining displacement and tilt supermultiplets. We focus on the two-, three- and four-point functions of these supermultiplets, which we compute using analytic conformal bootstrap up to next-to-leading order in their strong-coupling expansion. We obtain a bootstrap result that only depends on two OPE coefficients. We perform a Witten diagram check of the bootstrap result, obtaining an holographic interpretation of the two OPE coefficients that are not constrained by the bootstrap procedure.