Adjoint Reidemeister torsions from wrapped M5-branes

Abstract

We introduce a vanishing property of adjoint Reidemeister torsions of a cusped hyperbolic 3-manifold derived from the physics of wrapped M5-branes on the manifold. To support our physical observation, we present a rigorous proof for the figure-eight knot complement with respect to all slopes. We also present numerical verification for several knots.

References in corpus (8)

• SUSY Gauge Theories on Squashed Three-Spheres
• The complete superconformal index for N=6 Chern-Simons theory
• Comments on twisted indices in 3d supersymmetric gauge theories
• Fivebranes and 3-manifold homology
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• All-Order Volume Conjecture for Closed 3-Manifolds from Complex Chern-Simons Theory

Cited by in corpus (6)

• M-theoretic Genesis of Topological Phases
• Knots, Perturbative Series and Quantum Modularity
• Adjoint Reidemeister torsions of two-bridge knots
• Adjoint Reidemeister torsions of once-punctured torus bundles
• The adjoint Reidemeister torsion for the connected sum of knots
• Adjoint Reidemeister torsions of some 3-manifolds obtained by Dehn surgeries