LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	510
Title	Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional (EB) / Enno Keßler
Author	Keßler, Enno
Publication	Cham : Springer , 2019
Physical Details	xiii, 278 pages : Online resource
Series	Lecture Notes in Mathematics ; 2230
ISBN	978-3-030-13758-8
Summary Note	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 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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	https://doi.org/10.1007/978-3-030-13758-8
Links to Related Works	Subject References: Riemann surfaces . Authors: Keßler, Enno . Series: Lecture Notes in Mathematics . Classification: 510 .

Catalogue Display

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

Reviews