| 書目名稱 | Instanton Counting, Quantum Geometry and Algebra | | 編輯 | Taro Kimura | | 視頻video | http://file.papertrans.cn/468/467943/467943.mp4 | | 概述 | Focuses on algebraic aspects of supersymmetric gauge theories.Discusses geometrical and algebraic aspects of Nekrasov instanton calculus and some interesting generalizations of those calculus.Consists | | 叢書名稱 | Mathematical Physics Studies | | 圖書封面 |  | | 描述 | .This book pedagogically describes recent developments in gauge theory, in particular four-dimensional?N?= 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in four dimensions...In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg–Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the Ω-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introduci | | 出版日期 | Book 2021 | | 關(guān)鍵詞 | Supergroup Gauge Theory; Instanton Counting and Localization; Quiver Gauge Theory; Seiberg-Witten Geome | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-76190-5 | | isbn_softcover | 978-3-030-76192-9 | | isbn_ebook | 978-3-030-76190-5Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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