AdS/CFT boundary conditions and multi-trace perturbations for fermions

TL;DR

This paper explores boundary conditions for fermionic fields in AdS/CFT, analyzing how double trace perturbations influence RG flow and lead to a shift in the central charge consistent with the c-theorem.

Contribution

It extends previous work by calculating RG flows induced by double trace perturbations for spinor fields in AdS/CFT, revealing a half-unit shift in the central charge.

Findings

RG flow for spinor fields is computed

Half-unit shift in central charge from UV to IR

Results align with the c-theorem

Abstract

Extending the results of a previous paper, we consider boundary conditions for spinor fields and other fields of non-zero spin in the AdS/CFT correspondence. We calculate the RG-flow induced by double trace perturbations dual to bulk spinor fields. For spinors there is a half-unit shift in the central charge in running from the UV to the IR, in accordance with the c-theorem.