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Partition function of beta-gamma systems on the orbifolds C^2/Z_N and C^3/Z_Mx Z_N are obtained as the invariant part of that on the respective affinespaces, by lifting the geometric action of the orbifold group to the fields.Interpreting the sum over roots of unity as an elementary contour integration,the partition function evaluates to an infinite series counting invariantmonomials composed of basic operators of the theory at each mass level.

Partition function of beta-gamma system on orbifolds