TY - JOUR
T1 - Smallest 3d hyperbolic manifolds via simple 3d theories
AU - Gang, Dongmin
AU - Tachikawa, Yuji
AU - Yonekura, Kazuya
N1 - Funding Information:
The authors would like to thank M. Yamazaki for discussions. YT is partially supported in part by JSPS KAKENHI Grant-in-Aid (Wakate-A), No. 17H04837 and JSPS KAKENHI Grant-in-Aid (Kiban-S), No. 16H06335, and also supported in part by WPI Initiative, MEXT, Japan at IPMU, the University of Tokyo. The work of DG was supported by Samsung Science and Technology Foundation under Project No. SSTBA1402-08. The work of KY is supported in part by the WPI Research Center Initiative (MEXT, Japan), and also supported by JSPS KAKENHI Grant-in-Aid (No. 17K14265).
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/9/12
Y1 - 2017/9/12
N2 - We provide strong pieces of evidence that mathematics of three-dimensional hyperbolic manifolds of the first, second and third smallest volume are captured by the physics of three-dimensional theories composed of a complex boson and a Dirac fermion, both of a unit charge, coupled to a U(1) gauge field with the Chern-Simons levels -5/2, -7/2 and -3/2, respectively.
AB - We provide strong pieces of evidence that mathematics of three-dimensional hyperbolic manifolds of the first, second and third smallest volume are captured by the physics of three-dimensional theories composed of a complex boson and a Dirac fermion, both of a unit charge, coupled to a U(1) gauge field with the Chern-Simons levels -5/2, -7/2 and -3/2, respectively.
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U2 - 10.1103/PhysRevD.96.061701
DO - 10.1103/PhysRevD.96.061701
M3 - Article
AN - SCOPUS:85031695234
VL - 96
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 061701
ER -