We compute the topologically twisted index for general N=2 supersymmetric field theories on H₂× S¹ . We also discuss asymptotically AdS 4 magnetically charged black holes with hyperbolic horizon, in four-dimensional N=2 gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for ABJ M theories.
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Cabo-Bizet et al. (2017) studied this question.
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