Name: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
Price: 32.64 EUR
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Author: Keßler, Enno
ISBN: 9783030137571

portada Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

Type

Physical Book

Author

Enno Keßler

Publisher

Springer

Language

English

Pages

305

Format

Paperback

Dimensions

23.4 x 15.6 x 1.7 cm

Weight

0.45 kg.

ISBN13

9783030137571

Synopsis "Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional"

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 11.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 careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory.

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Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional - Keßler, Enno

Synopsis "Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional"

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