Smallest 3d hyperbolic manifolds via simple 3d theories

Dongmin Gang; Yuji Tachikawa; Kazuya Yonekura

doi:10.1103/PhysRevD.96.061701

Smallest 3d hyperbolic manifolds via simple 3d theories

Dongmin Gang, Yuji Tachikawa, Kazuya Yonekura

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Article number	061701
Journal	Physical Review D
Volume	96
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.96.061701
Publication status	Published - Sep 12 2017

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.96.061701

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