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A<sc>bstract</sc> We consider the 𝒩 = (2, 2) AdS3/CFT2dualities proposed by Eberhardt, where the bulk geometry is AdS3× (S3×T4)/ℤk, and the CFT is a deformation of the symmetric orbifold of the supersymmetric sigma modelT4/ℤk(withk= 2, 3, 4, 6). The elliptic genera of the two sides vanish due to fermionic zero modes, so for microstate counting applications one must consider modified supersymmetric indices. In an analysis similar to that of Maldacena, Moore, and Strominger for the standard 𝒩 = (4, 4) case ofT4, we study the appropriate helicity-trace index of the boundary CFTs. We encounter a strange phenomenon where a saddle-point analysis of our indices reproduces only a fraction (respectively$$ \frac{1}{2} $$ ,$$ \frac{2}{3} $$ ,$$ \frac{3}{4} $$ ,$$ \frac{5}{6} $$ ) of the Bekenstein-Hawking entropy of the associated macroscopic black branes.more » « less