Hidden Sp(1)-Symmetry and Brane Quantization on HyperKähler manifolds

NaiChung Conan Leung, YuTung Yau

For a fixed prequantum line bundle $L$ over a hyperKähler manifold $X$, we find a natural $\mathrm{Sp}(1)$-action on ${\Omega }^{\ast }(X,L)$ intertwining a twistor family of $\operatorna…