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Operators and higher genus mirror curves
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We perform further tests of the correspondence between spectral theory and topological strings, focusing on mirror curves of genus greater than one with nontrivial mass parameters. In particular, we analyze the geometry relevant to the SU(3) relativistic Toda lattice, and the resolved C^3/Z_6 orbifold. Furthermore, we give evidence that the correspondence holds for arbitrary values of the mass parameters, where the quantization problem leads to resonant states. We also explore the relation between this correspondence and cluster integrable systems.
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Cited by 2 Pith papers
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Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves
The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.
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An Airy Tale at Large $N$
The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.
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