Abstract
Meta-conformal transformations of (1+d)-dimensional time-space are constructed as dynamical symmetries of the linear transport equation. They are a new kind of representations of the conformal Lie algebra for d = 1, while for d>1 their Lie algebra has a different structure. For d = 2 space dimensions, representations of infinite-dimensional meta-conformal Lie algebras can be constructed. These Lie algebras are isomorphic to the direct sum of three Virasoro algebras. Co-variant two-point correlators are derived and possible physical applications are discussed.
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