2018/08/13 by Dongmin Gang, Nakwoo Kim · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.99.021901
published as Phys. Rev. D 99, 021901 (2019) · 7 pages. v2: references added
arxiv created 2018/08/13 · arxiv updated 2019/01/30
We study the large N limit of twisted partition functions on Mg,p, the S1 bundle of degree p over a Riemann surface of genus g, for 3D N=2 superconformal field theories arising as low-energy limit of wrapped N M5-branes on hyperbolic 3-manifold M. We study contributions from two Bethe vacua which correspond to two canonical irreducible SL(N, ℂ) flat connections on M via 3D-3D correspondence. Using mathematical results on perturbtaive Chern-Simons invariants around the flat connections, we find universal expressions for the large N twisted partition functions contributed from the two Bethe vacua in term of the hyperbolic volume of M. The two large N partition functions perfectly match the on-shell actions for two Bolt-type solutions in the holographic dual AdS4 gravity respectively.