Killing vector fields and harmonic superfield theories

DOI10.1063/1.4895464zbMath1310.81140arXiv1301.5474OpenAlexW3104597844MaRDI QIDQ2924907

Josua Groeger

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5474

zbMATH Keywords

Noether theoremsupermanifoldssupersymmetric sigma models

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Supermanifolds and graded manifolds (58A50) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (2)

Divergence theorems and the supersphere ⋮ Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields

Cites Work

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• The geodesic flow on a Riemannian supermanifold
• Riemannian supergeometry
• Orientations of supermanifolds
• Killing spinors are Killing vector fields in Riemannian supergeometry
• Supersymmetric Killing structures
• Existence and uniqueness of solutions to superdifferential equations
• Geometry of harmonic maps
• The exterior derivative as a Killing vector field
• Mathematical foundations of supersymmetry
• Supersymmetric harmonic maps into symmetric spaces
• Divergence theorems and the supersphere
• Parallel spinors and holonomy groups
• Holomorphic supercurves and supersymmetric sigma models
• Quotients in supergeometry
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

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