In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.
The modular curve as the space of stability conditions of a CY3 algebra
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We prove that a connected component of the space of stability conditions of a CY3 triangulated category generated by an A_2 collection of 3-spherical objects is isomorphic to the universal cover of the C^*-bundle of non-zero holomorphic differentials on the moduli space of elliptic curves.
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K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line
In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.