Interpolating Boundary Conditions on AdS2

G A SILVA; D H CORREA; A FARAGGI; A F CANAZAS-GARAY

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Lugar: Berlin; Año: 2023 vol. 02 p. 146 - 167

1126-6708

We consider 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 the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2 ⊂ AdS4 × CP3 worldsheet and identify the scalar field with one of the fluctuations in CP3 , thus obtaining correlators of excitations inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.