Advances in Theoretical and Mathematical Physics
Volume 23 (2019)
Ring objects in the equivariant derived Satake category arising from Coulomb branches
Pages: 253 – 344
This is the second companion paper of [Part II]. We consider the morphism from the variety of triples introduced in [Part II] to the affine Grassmannian. The direct image of the dualizing complex is a ring object in the equivariant derived category on the affine Grassmannian (equivariant derived Satake category). We show that various constructions in [Part II] work for an arbitrary commutative ring object.
The second purpose of this paper is to study Coulomb branches associated with star shaped quivers, which are expected to be conjectural Higgs branches of $3d$ Sicilian theories in type $A$ by F. Benini, Y. Tachikawa, and D. Xie [“Mirrors of $3d$ Sicilian theories”, JHEP 1009 (2010), 63].
The author of Appendix B is Gus Lonergan.
Published 11 November 2019