Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

Abstract

By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of $q$-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants.

arXiv comment33 pages, 1 figure, 7 tables

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Cited by in corpus (22)

• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• $\hat{Z}$ at large $N$: from curve counts to quantum modularity
• Rational $Q$-systems, Higgsing and Mirror Symmetry
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Branches, quivers, and ideals for knot complements
• Cobordism invariants from BPS q-series
• BPS Indices, Modularity and Perturbations in Quantum K-theory
• Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface
• A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
• Resurgent Analysis for Some 3-manifold Invariants
• Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs
• The ADO Invariants are a q-Holonomic Family
• Truncated affine Rozansky--Witten models as extended TQFTs
• Knot Complement, ADO-Invariants and their Deformations for Torus Knots
• A Cable Knot and BPS-Series
• Invariants of knots and links at roots of unity
• Rozansky-Witten theory, Localised then Tilted
• Support theory for Drinfeld doubles of some infinitesimal group schemes
• On knots, complements, and 6j-symbols
• Inverted state sums, inverted Habiro series, and indefinite theta functions
• A supergroup series for knot complements
• Non-Semisimple TQFT's and BPS $q$-Series