TL;DR
This paper explores the connection between singleton representations in AdS_3 and logarithmic operators in the boundary CFT_2, highlighting their roles in bulk gauge boson phenomena and the structure of logarithmic conformal field theories.
Contribution
It identifies new types of logarithmic operators in 2D CFTs beyond those linked to AdS singletons, expanding understanding of boundary-bulk correspondence.
Findings
Logarithmic operators can occur when primary field dimensions differ by an integer.
Such operators may be necessary to explain the greybody factor for gauge bosons.
Additional logarithmic operators exist beyond those associated with AdS_3 singletons.
Abstract
We discuss the relation between singletons in AdS_3 and logarithmic operators in the CFT on the boundary. In 2 dimensions there can be more logarithmic operators apart from those which correspond to singletons in AdS, because logarithmic operators can occur when the dimensions of primary fields differ by an integer instead of being equal. These operators may be needed to account for the greybody factor for gauge bosons in the bulk.
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