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Conformal Field Theory - Nikhef

1.1.3 Conformal invariance A conformal transformation can now be de ned as a coordinate transformation which acts on the metric as a Weyl transformation. Consider a general coordinate transformation x!x0, such that x = f (x0 ). This has the following e ect on the metric g (x) !g0 (x 0) = @fˆ @x 0 @f˙ @x g ˆ˙(f(x0)) : (1.8)

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  Conformal, Invariance, Conformal invariance

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