Emergent Geometry of KP Hierarchy. II
Jian Zhou
TL;DR
This paper develops a construction of quantum Landau-Ginzburg superpotentials linked to KP hierarchy tau-functions, explaining quantum curves in the quantum two-torus and applying it to Hurwitz numbers, topological vertex, and resolved conifold cases.
Contribution
It introduces a novel method to construct quantum spectral curves from KP tau-functions in the quantum two-torus setting, connecting to various enumerative geometry problems.
Findings
Quantum spectral curves are constructed for specific geometric cases.
The approach explains previous results on quantum curves in these contexts.
Provides a unified framework linking KP hierarchy and quantum geometry.
Abstract
We elaborate on a construction of quantum LG superpotential associated to a tau-function of the KP hierarchy in the case that resulting quantum spectral curve lies in the quantum two-torus. This construction is applied to Hurwitz numbers, one-legged topological vertex and resolved conifold with external D-brane to give a natural explanation of some earlier work on the relevant quantum curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMagnetism in coordination complexes · Organometallic Compounds Synthesis and Characterization · Organometallic Complex Synthesis and Catalysis