Loop diagrams in AdS

For the student seminar of this week, and last one before the Christmas break, we will have Roman with a talk on loop diagrams in AdS. Details are below.

Abstract: QFT in AdS has a number of useful applications ranging from holography to conventional (flat space) QFT. In those applications, the need for more precision automatically leads to loop diagrams. In this talk, we want to highlight some work done in the field by presenting aspects of 1810.04185 for its beauty and originality. We will compute the scalar loop diagram in AdS. Using the exact solvability of large N O(N) model in AdS, we will compute a boundary 4-point function as a function of the loop integral. By then using consistency of the OPE on the boundary, we will reconstruct the same result and therefore bootstrap the result for the loop integral. In the end we will quickly go over the generalisation of such results to fermionic integral.