Small Treatise on Spin-3/2 Fields and their Dual Spectral Functions

Abstract

In this work we systematically study various aspects of spin-3/2 fields in a curved background. We mostly focus on a minimally coupled massive spin-3/2 field in arbitrary dimensions, and solve the equation of motion either explicitly or numerically in AdS, Schwarzschild-AdS and Reissner-Nordström-AdS backgrounds. Although not the main focus of this work, we also make a connection with the gravitino equation of motion in gauged supergravity. Motivated by the AdS/CFT correspondence, we emphasize calculational improvements and technical details of the dual spectral functions. We attempt to provide a coherent and comprehensive picture of the existing literature.

40 pages, 11 figures. V2: comments and references added

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Cited by in corpus (4)

• Pole-skipping and Rarita-Schwinger fields
• Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times
• Quasi-normal modes and absorption probabilities of spin-3/2 fields in $D$-dimensional Reissner-Nordström black hole spacetimes
• Master equations and Quasi-normal modes of spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes