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 1|1. The fir...

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Κύριος συγγραφέας: Keßler, Enno (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Lecture Notes in Mathematics, 2230
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.