Fourier duality of quantum curves
Mathematical Physics
2015-12-11 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Quantum Algebra
Abstract
There are two different ways to deform a quantum curve along the flows of the KP hierarchy. We clarify the relation between the two KP orbits: In the framework of suitable connections attached to the quantum curve they are related by a local Fourier duality. As an application we give a conceptual proof of duality results in 2D quantum gravity.
Cite
@article{arxiv.1504.01582,
title = {Fourier duality of quantum curves},
author = {Martin Luu and Albert Schwarz},
journal= {arXiv preprint arXiv:1504.01582},
year = {2015}
}
Comments
Mathematical Research Letters, to appear