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Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge

Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge

We give a microscopic derivation of the chiral Luttinger liquid theory $(\ensuremath{\chi}LL)$ for the Laughlin states. Starting from the wave function describing an arbitrary incompressibly deformed Laughlin state (IDLS) we quantize these deformations. In this way we obtain the low-energy projections of local microscopic operators and derive the quantum field …