Constructing mirror Landau–Ginzburg models for general Fano manifolds

Develop a general construction of a mirror Landau–Ginzburg model for an arbitrary Fano manifold.

Background

Much of the paper’s analysis leverages mirror Landau–Ginzburg models to relate spectral data and asymptotics to the Gamma class. While this is well-understood for toric Fano manifolds (and various cases admitting weak Landau–Ginzburg models), a general construction for arbitrary Fano manifolds is missing.

References

It is still unknown how to construct a mirror Landau-Ginzburg model for a general Fano manifold.

Revisiting Gamma conjecture I: counterexamples and modifications (2405.16979 - Galkin et al., 27 May 2024) in Section 1.4