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We consider the D1D5 CFT near the orbifold point and develop methods forcomputing the mixing of untwisted operators to first order by using the OPE onthe covering surface. We argue that the OPE on the cover encodes both thestructure constants for the orbifold CFT and the explicit form of the mixingoperators. We show this explicitly for some example operators. We start byconsidering a family of operators dual to supergravity modes, and show that theOPE implies that there is no shift in the anomalous dimension to first order,as expected. We specialize to the operator dual to the dilaton, and show thatthe leading order singularity in the OPE reproduces the correct structureconstant. Finally, we consider an unprotected operator of conformal dimension(2,2), and show that the leading order singularity and one of the subleadingsingularies both reproduce the correct structure constant. We check that theoperator produced at subleading order using the OPE method is correct bycalculating a number of three point functions using a Mathematica package wedeveloped. Further development of this OPE technique should lead to moreefficient calculations for the D1D5 CFT perturbed away from the orbifold point.

Operator mixing in deformed D1D5 CFT and the OPE on the cover