Author

T. Schedler

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Preprint Oct 2026

The Lebrun--Salamon conjecture is true in dimension up to 56

We prove the LeBrun--Salamon conjecture for positive quaternionic K\"ahler manifolds of quaternionic dimension n<= 14. To do so, we first show that the isometry group Isom(M) of any minimal counterexample M has rank at most one, hence dimension at most three. On the other hand, we consider a characteristic number which...

Jordi Daura Serrano, Aron Gohr, Marie-Am'elie Lawn et al. · 0 citations

Preprint Aug 2026

New symplectic singularities from $SU(2)$ gauge theories

Families of $\mathrm{Sp}(1)\simeq\mathrm{SU}(2)$ gauge theories with eight supercharges are found to have a Higgs branch which is an isolated symplectic singularity. These are, in some sense, the most ``minimal''gauge theories as they only Higgs to a trivial theory. The matter content is $N$ fundamental half-hypermulti...

A. Hanany, Guhesh Kumaran, Deshuo Liu et al. · 0 citations