News from the Virasoro algebra

Abstract

It is shown that the local quantum field theory of the chiral energy- momentum tensor with central charge c=1 coincides with the gauge invariant subtheory of the chiral SU(2) current algebra at level 1, where the gauge group is the global SU(2) symmetry. At higher level, the same scheme gives rise to W-algebra extensions of the Virasoro algebra.

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