Massive Spinors and dS/CFT Correspondence

TL;DR

This paper explores the relationship between massless spinors in Minkowski space and massive spinors in de Sitter space, deriving boundary terms for the dS/CFT correspondence and examining the extension limits of this map.

Contribution

It introduces a specific map between spinors in Minkowski and de Sitter spaces and details the conditions under which this map can be extended to various theories.

Findings

Boundary term for spinors in dS/CFT derived

Map extension limited to theories with vertex ({ar heta} heta)^2 for d≥1

Extensions to scalar theories only possible for specific dimensions and vertices

Abstract

Using the map between free massless spinors on d+1 dimensional Minkowski spacetime and free massive spinors on $dS_{d+1}$, we obtain the boundary term that should be added to the standard Dirac action for spinors in the dS/CFT correspondence. It is shown that this map can be extended only to theories with vertex $({\bar\p}\p)^2$ but arbitrary $d\ge1$. In the case of scalar field theories such an extension can be made only for $d=2,3,5$ with vertices $\phi^6$, $\phi^4$ and $\phi^3$ respectively.