Commutation relations Conformal symmetry

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in 2 dimensional spacetime, transformations of conformal group conformal transformations. there infinitely many of them.


in more 2 dimensions, euclidean conformal transformations map circles circles, , hyperspheres hyperspheres straight line considered degenerate circle , hyperplane degenerate hypercircle.


in more 2 lorentzian dimensions, conformal transformations map null rays null rays , light cones light cones null hyperplane being degenerate light cone.








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