3d N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document} minimal SCFTs from wrapped M5-branes

被引:0
作者
Jin-Beom Bae
Dongmin Gang
Jaehoon Lee
机构
[1] Korea Institute for Advanced Study,School of Physics
[2] University of Tokyo,Kavli Institute for the Physics and Mathematics of the Universe (WPI)
[3] University of British Columbia,Department of Physics and Astronomy
关键词
Chern-Simons Theories; M-Theory; Supersymmetric Gauge Theory;
D O I
10.1007/JHEP08(2017)118
中图分类号
学科分类号
摘要
We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a SL(2) Chern-Simons (CS) invariant on the 3-manifolds. After developing a state-integral model for the invariant, we numerically evaluate the central charges for several closed 3-manifolds with small hyperbolic volume. The computation suggests that the wrapped M5-brane systems give infinitely many discrete SCFTs with small central charges.
引用
收藏
相关论文
共 77 条
[1]  
Ponte P(2014)Emergence of supersymmetry on the surface of three dimensional topological insulators New J. Phys. 16 280-undefined
[2]  
Lee S-S(2014)Emergent space-time supersymmetry at the boundary of a topological phase Science 344 225-undefined
[3]  
Grover T(2011)Vortex counting and Lagrangian 3-manifolds Lett. Math. Phys. 98 135-undefined
[4]  
Sheng DN(2011)SL(2, R) Chern-Simons, Liouville and gauge theory on duality walls JHEP 08 109-undefined
[5]  
Vishwanath A(2013)Semiclassical analysis of the 3d/3d relation Phys. Rev. D 88 367-undefined
[6]  
Dimofte T(2013)Chern-Simons theory and S-duality JHEP 05 975-undefined
[7]  
Gukov S(2014)Gauge theories labelled by three-manifolds Commun. Math. Phys. 325 151-undefined
[8]  
Hollands L(2013)3-manifolds and 3d indices Adv. Theor. Math. Phys. 17 063-undefined
[9]  
Terashima Y(2016)K-decompositions and 3d gauge theories JHEP 11 017-undefined
[10]  
Yamazaki M(2014)Superconformal index and 3d-3d correspondence for mapping cylinder/torus JHEP 01 035-undefined