Hidden $\mathrm{Sp}(1)$-symmetry and brane quantization on hyperKähler manifolds

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Geometric quantization (53D50)

Cites Work

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From hypercomplex to holomorphic symplectic structures
Branes and quantization
Generalized complex geometry
Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy
Supersymmetries in Calabi-Yau geometry
The decomposition of forms and cohomology of generalized complex manifolds
Deformations of trianalytic subvarieties of hyperkähler manifolds
Remarks on A-branes, mirror symmetry, and the Fukaya category
Lagrangian submanifolds in hyper-Kähler manifolds, Legendre transformation
D-branes, $B$ fields, and ext groups
Hyper-Kähler manifolds with torsion, supersymmetry and Hodge theory.
Twistor space of a generalized quaternionic manifold
Brane quantization of toric Poisson varieties
On the blow-up formula of twisted de Rham Cohomology
Formality of derived intersections and the orbifold HKR isomorphism
Submanifolds of generalized complex manifolds
On higher rank coisotropic $A$-branes
Hard Lefschetz actions in Riemannian geometry with special holonomy
Open-string BRST cohomology for generalized complex branes
Hyperkähler manifolds
Lectures on mirror symmetry, derived categories, andD-branes
Generalized Calabi-Yau Manifolds
An analytic version of the Langlands correspondence for complex curves
Locality in the Fukaya category of a hyperkähler manifold
Generalized twistor spaces for hyperkähler manifolds
Quaternionic Dolbeault complex and vanishing theorems on hyperkähler manifolds
Note on Kodaira-Spencer's proof of Lefschetz theorems
Probing quantization via branes
$\operatorname{Sp}(1)$-symmetric hyperk\"ahler quantisation
Primitive decompositions of Dolbeault harmonic forms on compact almost-Kähler manifolds

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Hidden \(\mathrm{Sp}(1)\)-symmetry and brane quantization on hyperKähler manifolds