Abstract
We compute, in the large N limit, the topologically twisted index of the 3d T[SU(N)] theory, namely the partition function on \( {\Sigma}_{\mathfrak{g}}\times {S}^1 \), with a topological twist on the Riemann surface \( {\Sigma}_{\mathfrak{g}} \). To provide an expression for this quantity, we take advantage of some recent results obtained for five dimensional quiver gauge theories. In case of a universal twist, we correctly reproduce the entropy of the universal black hole that can be embedded in the holographically dual solution.
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Coccia, L. Topologically twisted index of T[SU(N)] at large N. J. High Energ. Phys. 2021, 264 (2021). https://doi.org/10.1007/JHEP05(2021)264
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DOI: https://doi.org/10.1007/JHEP05(2021)264