Speaker
Irene Amado
(Stockholm U.)
Description
A free O(N) vector model on a sphere has been conjectured to
be dual to a higher spin theory on an AdS background. It
displays an interesting thermal structure with a phase
transition at temperatures of order \sqrt{N}. We attempt to
shed further light on the nature of this phase transition by
considering thermal correlation functions of singlet
operators in the CFT. Above the transition an additional
length scale emerges, below which the behavior tracks that
of a free theory, exhibiting a characteristic logarithmic
scaling with distance. At larger distances, the scaling
returns to that of the low energy phase. We then provide a
first attempt at a geometrical interpretation of this
behavior and outline a method to reconstruct the dominant
bulk geometry from the behavior of the correlators.
