Speaker:	Tiziano Gaibisso (Imperial College London)
Title:	Supersymmetry for brane diagrams and bow varieties
Date (JST):	Tue, Nov 04, 2025, 13:30 - 15:00
Place:	Seminar Room A
Abstract:	Bow varieties provide a framework that unifies and generalizes several interesting constructions. For instance, H. Nakajima and Y. Takayama proved that they include Nakajima’s quiver varieties and the Coulomb branches of affine type A quiver gauge theories (in the sense of Braverman–Finkelberg–Nakajima) as special cases. I will start from the notion of bow diagrams generalizing affine (and finite) type A quivers, with emphasis on their construction via Hanany–Witten brane configurations in string theory. Then, I will introduce bow varieties of type A as moduli spaces attached to such brane configurations, following Nakajima–Takayama's approach. This perspective reflects the interpretation of bow varieties as Higgs and Coulomb branches of Hanany–Witten systems. I will therefore recall how to recover Nakajima quiver varieties and Coulomb branches of type A as special cases of bow varieties. In the second part of the talk, I will present several characterizations of type A bow diagrams generating non-empty bow varieties, formulated in terms of supersymmetry for Hanany–Witten configuration

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