Interacting Spinors-Scalars and AdS/CFT Correspondence

TL;DR

The paper extends the AdS/CFT correspondence to an interacting spinor-scalar theory on $AdS_{d+1}$ and computes boundary CFT correlators by evaluating the bulk on-shell action with a boundary spinor term. The authors show that quadratic spinor correlators originate from a surface term in the action, while higher-point spinor-scalar correlators can be obtained from bulk interactions, yielding explicit $(2n,0)$ and $(2n,m)$ correlators that respect conformal symmetry. At first order in the couplings, $(2n,m)$ correlators are generated entirely by the surface term, with higher-order terms contributing only multiplicative constants, implying no further bulk modifications are required. The results provide explicit, conformally invariant expressions for both pure and mixed spinor-scalar boundary correlators, supporting the holographic dictionary in this nontrivial interacting setting.

Abstract

By taking the interacting spinor-scalar theory on the $AdS_{d+1}$ space we calculate the boundary CFT correlation functions using AdS/CFT correspondence.