1/N and Loop Corrections in Higher Spin AdS_4/CFT_3 Duality

Understand

We consider the question of loop corrections (i.e.

• 1/N) in the vector model/higher spin duality following the recent work of Giombi and Klebanov.
• The purpose of this paper is to gain further more precise comparison between the two sides of the duality.
• For CFTs given by 3d O(N) or U(N) vector models we evaluate the leading and one loop partition functions in a variety of geometries.