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Constructing mirror Landau–Ginzburg models for general Fano manifolds

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

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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