Gauge Theories on Sphere and Killing Vectors
Rabin Banerjee
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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