Black holes and large N complex saddles in 3D-3D correspondence

Journal of High Energy Physics

Dongmin Gang¹  Sunjin Choi²  Nakwoo Kim³ 

[1] Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, 08826, Seoul, Republic of Korea;Asia Pacific Center for Theoretical Physics (APCTP), 77 Cheongam-ro, 37673, Pohang, Republic of Korea;Department of Physics, Pohang University of Science and Technology (POSTECH), 77 Cheongam-ro, 37673, Pohang, Republic of Korea;Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, 08826, Seoul, Republic of Korea;School of Physics, Korea Institute of Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, 02455, Seoul, Republic of Korea;School of Physics, Korea Institute of Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, 02455, Seoul, Republic of Korea;Department of Physics and Research Institute of Basic Science, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, 02447, Seoul, Republic of Korea;

关键词: 1/N Expansion;    Black Holes in String Theory;    M-Theory;    Supersymmetry and Duality;   

DOI  :  10.1007/JHEP06(2021)078

来源: Springer

【 摘 要 】

We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions for the two Euclidean supergravity solutions, Bolt± with p = 0, which are Wick rotation of magnetically charged AdS4 black holes. The two solutions have the same imaginary part with opposite sign. The imaginary part comes from the F ∧ F-term in the supergravity and the coefficient is proportional to the Chern-Simons invariant of 3-manifold. Combining the holographic computation with 3D-3D relation for twisted indices, we propose a non-trivial mathematical conjecture regarding the phase factor of a twisted Reidemeister-Ray-Singer torsion on hyperbolic 3-manifold.

【 授权许可】

CC BY