Geometry from Donaldson-Thomas invariants

Tom Bridgeland

Geometry from Donaldson-Thomas invariants

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arxiv 1912.06504 v2 pith:7LM3Q2IH submitted 2019-12-13 math.AG hep-th

Tom Bridgeland This is my paper · ORCID

classification math.AGhep-th

keywords structurescategorydonaldson-thomasinvariantsjoyceanalogycalabi-yaucalculations

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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
hep-th 2025-01 accept novelty 7.0 of 10

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.

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