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Titlebook: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional; Enno Keßler Book 2019 The Author(s) 2019 Gravitino.Superco

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发表于 2025-3-21 18:52:12 | 显示全部楼层 |阅读模式
书目名称Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
编辑Enno Keßler
视频videohttp://file.papertrans.cn/882/881863/881863.mp4
概述Provides a detailed introduction to differential geometry on supermanifolds, including bundles, connections and integration.Focuses on super Riemann surfaces, supergeometric analogues of Riemann surfa
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional;  Enno Keßler Book 2019 The Author(s) 2019 Gravitino.Superco
描述.This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1..The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed..The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. The conserved currents of this action can be identified as infinitesimal deformationsof the super Riemann surface. This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them..This volume is aimed at both theoretical physicists interested in a caref
出版日期Book 2019
关键词Gravitino; Superconformal Action Functional; Supergeometry; Super Riemann Surfaces; Two-dimensional Non-
版次1
doihttps://doi.org/10.1007/978-3-030-13758-8
isbn_softcover978-3-030-13757-1
isbn_ebook978-3-030-13758-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Author(s) 2019
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发表于 2025-3-21 22:18:54 | 显示全部楼层
Metrics and Gravitinostriple (., ., .) on |.| is sufficient to reconstruct the super Riemann surface .. Supersymmetry of metric and gravitino are interpreted as an infinitesimal change of the embedding .. From this point of view we are able to give a description of the infinitesimal deformations of a super Riemann surface in terms of metric and gravitino.
发表于 2025-3-22 03:13:56 | 显示全部楼层
Book 2019 to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1..The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, sm
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Linear Superalgebraassed over another odd object, it acquires an additional factor − 1..The goal of this chapter is to describe the necessary pieces of linear superalgebra. A good understanding of linear superalgebra is necessary to understand the geometry to be treated in later chapters.
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Super Lie Groupsy of principal bundles in Chap. .. Super Lie groups are of interest to physics as symmetry groups. An early mathematically rigorous treatment of super Lie groups is presented in Kostant (Graded manifolds, graded Lie theory, and prequantization. In: Differential geometrical methods in mathematical ph
发表于 2025-3-23 03:28:51 | 显示全部楼层
Principal Fiber Bundlespal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure group of the frame bundle of the vector bundle. The theory of connections on principal bundles sh
发表于 2025-3-23 09:09:10 | 显示全部楼层
Complex Supermanifoldsatched by smooth families of holomorphic coordinate changes. Consequently, every smooth family of complex supermanifolds has an underlying (real) family of smooth supermanifolds with an almost complex structure. However, not every smooth family of supermanifolds with almost complex structure lead to
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