Interpolating boundary conditions on AdS 2

Anthonny F. Canazas Garay, Diego H. Correa, Alberto Faraggi, Guillermo A. Silva

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We consider two instances of boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; ℝ) conformal group is not immediate given their non-local nature. To further clarify this issue, we compute holographically 2- and 4-point correlation functions using the aforementioned boundary conditions and study their transformation properties. Concretely, motivated by the dual description of some multi-parametric families of Wilson loops in ABJM theory, we look at the excitations of an open string around an AdS2 ⊂ AdS4 × ℂℙ3 worldsheet, thus obtaining correlators of operators inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions analyzed, only one leads to the expected functional structure for conformal primaries; the other exhibits covariance under translations and rescalings but not under special conformal transformations.

Original languageEnglish
Article number146
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - Feb 2023


  • AdS-CFT Correspondence
  • Gauge-Gravity Correspondence
  • Scale and Conformal Symmetries
  • Wilson, ’t Hooft and Polyakov loops

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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