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Titlebook: New Dualities of Supersymmetric Gauge Theories; Jörg Teschner Book 2016 Springer International Publishing Switzerland 2016 Chern-Simons Th

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A Review on Instanton Counting and W-Algebras,oup on . to some detail, and indicate how it can be generalized to other gauge groups and to other spaces. This is part of a combined review on the recent developments on exact results on . supersymmetric gauge theories, edited by J. Teschner.
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,-Deformed Matrix Models and 2d/4d Correspondence,ories. The .-deformed matrix model equipped with the log-type potential is obtained as a free field (Dotsenko-Fateev) representation of the conformal block of chiral conformal algebra in two dimensions, with the precise choice of integration contours. After reviewing various matrix models related to
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Localization for , Supersymmetric Gauge Theories in Four Dimensions,g spinors. We review some known backgrounds and give examples of new geometries such as local .-bundle fibrations. We discuss in detail a topological four-sphere with generic .-invariant metric. This review is a contribution to the special volume on recent developments in . supersymmetric gauge theo
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Line Operators in Supersymmetric Gauge Theories and the 2d-4d Relation,tors. We also review the roles they play in the relation between four- and two-dimensional field theories, and explain how the two-dimensional CFT can be used to obtain the quantitative results for 4d line operators. This is a contribution to the special LMP volume on the 2d-4d relation, edited by J
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