Supergeometry Super Riemann Surfaces and the Superconformal Action Functional is popular PDF and ePub book, written by Enno Keßler in 2019-08-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Supergeometry Super Riemann Surfaces and the Superconformal Action Functional can be Read Online from any device for your convenience.
Supergeometry Super Riemann Surfaces and the Superconformal Action Functional Book PDF Summary
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 deformations of 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 careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory.
Detail Book of Supergeometry Super Riemann Surfaces and the Superconformal Action Functional PDF
- Author : Enno Keßler
- Release : 28 August 2019
- Publisher : Springer Nature
- ISBN : 9783030137588
- Genre : Mathematics
- Total Page : 305 pages
- Language : English
- PDF File Size : 15,7 Mb
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