| Autor: |
Garay, Anthonny F. Canazas, Correa, Diego H., Faraggi, Alberto, Silva, Guillermo A. |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
JHEP02(2023)146 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/JHEP02(2023)146 |
| Popis: |
We consider two instances of boundary conditions for massless scalars on $AdS_2$ that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $SL(2;\mathds{R})$ 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 $AdS_2\subset AdS_4\times\mathbb{CP}^3$ worldsheet, thus obtaining correlators of operators inserted along a $1$-dimensional defect in ${\cal N}=6$ 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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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