Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional için kapak resmi
Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
Başlık:
Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
Yazar:
Keßler, Enno. author.
ISBN:
9783030137588
Edisyon:
1st ed. 2019.
Fiziksel Niteleme:
XIII, 305 p. 51 illus. online resource.
Seri:
Lecture Notes in Mathematics, 2230
İçindekiler:
Introduction -- PART I Super Differential Geometry -- Linear Superalgebra -- Supermanifolds -- Vector Bundles -- Super Lie Groups -- Principal Fiber Bundles -- Complex Supermanifolds -- Integration -- PART II Super Riemann Surfaces -- Super Riemann Surfaces and Reductions of the Structure Group -- Connections on Super Riemann Surfaces -- Metrics and Gravitinos -- The Superconformal Action Functional -- Computations in Wess–Zumino Gauge.
Özet:
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