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We analyse the inner products of edge state wavefunctions in the fractionalquantum Hall effect, specifically for the Laughlin and Moore-Read states. Weuse an effective description for these inner products given by a large-$N$expansion ansatz proposed in recent work by J. Dubail, N. Read and E. Rezayi,PRB 86, 245310 (2012). As noted by these authors, the terms in this ansatz canbe constrained using symmetry, a procedure we perform to high orders. We thencheck this conjecture by calculating the overlaps exactly for small systemsizes and compare the numerics with our high-order expansion. We find theeffective description to be very accurate.

On the Structure of Edge State Inner Products in the Fractional Quantum Hall Effect