Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.
Geometry from Donaldson-Thomas invariants
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We introduce geometric structures on the space of stability conditions of a three-dimensional Calabi-Yau category which encode the Donaldson-Thomas invariants of the category. We explain in detail a close analogy between these structures, which we call Joyce structures, and Frobenius structures. In the second half of the paper we give explicit calculations of Joyce structures in three interesting classes of examples.
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Twistorial chiral algebras in higher dimensions
Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.