Ring objects in the equivariant derived satake category arising from coulomb branches

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This is the second companion paper of [Part II]. We consider the morphism from the variety of triples introduced in [Part II] to the ane Grassmannian. The direct image of the dualizing complex is a ring object in the equivariant derived category on the ane 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 [BTX10].

Original languageEnglish
Pages (from-to)253-344
Number of pages92
JournalAdvances in Theoretical and Mathematical Physics
Volume23
Issue number2
DOIs
Publication statusPublished - 2019

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