Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2020)158
Keywords
AdS-CFT Correspondence; Black Holes in String Theory; Brane Dynamics in Gauge Theories
Categories
Funding
- National Research Foundation of Korea Grant NRF [2019R1A2C2004880, NRF-2017R1D1A1B06034369]
- Simons Foundation (Simons Collaboration on the Nonperturbative Bootstrap)
- INFN
- National Research Foundation of Korea [2019R1A2C2004880] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We study the twisted index of 4d N = 2 class S theories on a closed hyperbolic 3-manifold M-3. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the full perturbative 1/N expansion of the twisted index. The leading part nicely matches the Bekestein-Hawking entropy of a magnetically charged black hole in the holographic dual AdS(5) with AdS(2) x M-3 near-horizon.
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