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Gauge theories on sphere and Killing vectors

2003/07/31 by Rabin Banerjee · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/j.aop.2003.12.003

published as Annals Phys. 311 (2004) 245-264 · 19 pages, LaTex errors fixed; marginal changes, To appear in Annals of Physics

arxiv created 2003/12/18 · openalex publication_date 2003/12/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a general method for studying manifestly O(n+1) covariant formulation of p-form gauge theories by stereographically projecting these theories, defined in flat Euclidean space, onto the surface of a hypersphere. The gauge fields in the two descriptions are mapped by conformal Killing vectors while conformal Killing spinors are necessary for the matter fields, allowing for a very transparent analysis and compact presentation of results. General expressions for these Killing vectors and spinors are given. The familiar results for a vector gauge theory are reproduced.

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