A bstractWe compute the topologically twisted index for general N=2$$ \mathcal{N}=2 $$ supersymmetric field theories on ℍ2×S1$$ {\mathrm{\mathbb{H}}}_2\times {S}^1 $$. We also discuss asymptotically AdS4 magnetically charged black holes with… Click to show full abstract
A bstractWe compute the topologically twisted index for general N=2$$ \mathcal{N}=2 $$ supersymmetric field theories on ℍ2×S1$$ {\mathrm{\mathbb{H}}}_2\times {S}^1 $$. We also discuss asymptotically AdS4 magnetically charged black holes with hyperbolic horizon, in four-dimensional N=2$$ \mathcal{N}=2 $$ 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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