Proves the Gang-Kim-Yoon integrality conjecture for adjoint Reidemeister torsions of all torus knots by defining Verlinde numbers via the modular S-matrix and establishing their recursion relations.
M-theoretic Genesis of Topological Phases
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A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant than the standard 3D index.
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
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Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Proves the Gang-Kim-Yoon integrality conjecture for adjoint Reidemeister torsions of all torus knots by defining Verlinde numbers via the modular S-matrix and establishing their recursion relations.
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Refined 3D index
A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant than the standard 3D index.
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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.