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arXiv · hep-th/0307296

Gauge Theories on Sphere and Killing Vectors

Rabin Banerjee
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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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Rabin Banerjee. 2003-12-18. Gauge Theories on Sphere and Killing Vectors. https://doi.org/10.1016/j.aop.2003.12.003

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