Abstract
We show that the relict of the Kramers-Wannier duality of lattice systems in the scaling limit is the dual algebra and its inequivalent representation. For the Z 2 dual algebra of the Ising field theory there are precisely two inequivalent representations corresponding to T≶T c . The T < T c representation contains a Z 2 “spurion” which is the remainder of a topological zero-momentum mode in the scaling limit. Our discussion of duality in the A 4 theory is less rigorous than for the Ising model.
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