Boundary Terms, Spinors and Kerr/CFT

TL;DR

This paper determines the boundary term for spinors in Kerr/CFT, enabling the calculation of two-point functions that match those of a 2D conformal field theory, thus advancing the understanding of holographic dualities.

Contribution

It identifies the necessary boundary term for spinors in Kerr/CFT and computes the two-point function consistent with 2D CFT correlators.

Findings

Boundary term for spinors in Kerr/CFT derived.

Two-point function matches 2D CFT correlator.

Supports holographic duality in Kerr/CFT context.

Abstract

Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT. We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT. This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.