
TL;DR
This paper explores the conformal limit of TBA equations related to N=2 gauge theories, revealing a connection to opers and solutions to the Schrödinger equation with rational potentials.
Contribution
It introduces a generalized oper submanifold in the space of flat connections via conformal TBA equations, linking gauge theory, geometry, and quantum mechanics.
Findings
Conformal TBA equations describe a generalized oper submanifold.
Solutions to Schrödinger equations with rational potentials are obtained.
The work connects gauge theory moduli spaces with quantum differential equations.
Abstract
In this note we study the "conformal limit" of the TBA equations which describe the geometry of the moduli space of four-dimensional N=2 gauge theories compactified on a circle. We argue that the resulting conformal TBA equations describe a generalization of the oper submanifold in the space of complex flat connections on a Riemann surface. In particular, the conformal TBA equations for theories in the A1 class produce solutions of the Schr\"odinger equation with a rational potential.
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
TopicsTheater, Performance, and Music History · Musicology and Musical Analysis
