Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models

Abstract

It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by the free energy of topological strings on the del Pezzo background with the symmetry broken. We study the symmetry breaking of the quantum cousin of the algebraic curve and reproduce the results in the super Chern-Simons matrix model.

arXiv comment33 pages, 9 figures

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Cited by in corpus (11)

• Spectral Theories and Topological Strings on del Pezzo Geometries
• Hanany-Witten Transition in Quantum Curves
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Fermi gas approach to general rank theories and quantum curves
• SU(N) q-Toda equations from mass deformed ABJM theory
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• New Chandrasekhar transformation in Kerr spacetime
• M2-branes and $\mathfrak{q}$-Painlevé equations
• Duality Cascades and Affine Weyl Groups
• Duality Cascades and Parallelotopes
• 3d dualities with decoupled sectors and brane transitions