Gauge Theories on Sphere and Killing Vectors

Details Gauge Theories on Sphere and Killing Vectors Gauge Theories on Sphere and Killing Vectors

2003-07-31

arxiv.org/abs/hep-th/0307296v3

Annals Phys. 311 (2004) 245-264

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTex errors fixed; marginal changes, To appear in Annals of Physics

Scientific paper

10.1016/j.aop.2003.12.003

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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