On the Open TS/ST Correspondence

Matijn François, Alba Grassi · 2026

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Description

Matijn François and Alba Grassi extended a deep link between string theory and spectral theory into the open string sector. Their paper appeared in Communications in Mathematical Physics in 2026. The closed-string version of this correspondence matches topological strings on certain curved spaces with the energy spectra of quantized mirror curves. Open strings, which end on branes, were far less understood. The authors build full wavefunctions for one quantized mirror curve out of open string partition functions.

Their test case is a space whose mirror curve reproduces the Baxter equation of a two-particle relativistic Toda lattice, a classic integrable system. They then follow the construction into two four-dimensional limits of the theory. The result generalizes earlier work done only at a special self-dual point. It gives physicists a firmer grip on how open strings encode quantum spectral data exactly, beyond approximations.

Catalog record

CREATORMatijn François, Alba Grassi
YEAR2026
COLLECTIONPAPERS
FORMATTXT
FILE SIZE421 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC13242492

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