Smallest 3d hyperbolic manifolds via simple 3d theories

Abstract

We provide strong pieces of evidence that the mathematics of the three-dimensional hyperbolic manifolds of the first, second and third smallest volume is captured by the physics of the three-dimensional theories composed of a complex boson and a Dirac fermion, both of unit charge, coupled to a U(1) gauge field with the Chern-Simons level $-5/2$, $-7/2$ and $-3/2$, respectively.

arXiv comment4 pages, 1 figure

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• A slow review of the AGT correspondence
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• S-duality resurgence in SL(2) Chern-Simons theory
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries
• Expanding 3d $\mathcal{N}=2$ Theories around the Round Sphere
• Five loop renormalization of the Wess-Zumino model