Matches in SemOpenAlex for { <https://semopenalex.org/work/W3117819314> ?p ?o ?g. }
- W3117819314 abstract "The aim of this memoir for Habilitation `a Diriger des Recherches is to present quantum geometric and algebraic aspects of supersymmetric gauge theory, which emerge from non-perturbative nature of the vacuum structure induced by instantons. We start with a brief summary of the equivariant localization of the instanton moduli space, and show how to obtain the instanton partition function and its generalization to quiver gauge theory and supergroup gauge theory in three ways: the equivariant index formula, the contour integral formula, and the combinatorial formula. We then explore the geometric description of $mathcal{N} = 2$ gauge theory based on Seiberg-Witten geometry together with its string/M-theory perspective. Through its relation to integrable systems, we show how to quantize such a geometric structure via the $Omega$-deformation of gauge theory. We also discuss the underlying quantum algebraic structure arising from the supersymmetric vacua. We introduce the notion of quiver W-algebra constructed through double quantization of Seiberg-Witten geometry, and show its specific features: affine quiver W-algebras, fractional quiver W-algebras, and their elliptic deformations." @default.
- W3117819314 created "2021-01-05" @default.
- W3117819314 creator A5017457815 @default.
- W3117819314 date "2021-07-05" @default.
- W3117819314 modified "2023-09-26" @default.
- W3117819314 title "Instanton Counting, Quantum Geometry and Algebra" @default.
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