Weyl transformation

In theoretical physics, the Weyl transformation is a local rescaling of the metric tensor:

g_{ab}\rightarrow g_{ab} \exp(2\omega(x))

The invariance of a theory or an expression under this transformation is called the Weyl symmetry. It is an important symmetry in conformal field theory - for example a symmetry of the Polyakov action.

For more, see Weyl curvature.

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See also: Weyl transformation, Conformal field theory, Invariance, Mathematics, Metric tensor, Physics, Polyakov action, Symmetry