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

James T. Liu; Leopoldo A. Pando Zayas; Zhenbin Yang

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

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arxiv 1401.0008 v2 pith:BFMP6FGQ submitted 2013-12-30 hep-th

James T. Liu , Leopoldo A. Pando Zayas , Zhenbin Yang This is my paper

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keywords spin-3dualequationfieldsfocusfunctionsmotionspectral

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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-Nordstr\"om-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.

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