Killing vector fields and harmonic superfield theories

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4895464· OSTI ID:22306042

Groeger, Josua ^[1]

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1. Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin (Germany)

The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, also referred to as harmonic, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing vector fields are infinitesimal supersymmetries of this harmonic action and prove three different Noether theorems in this context. En passant, we provide a homogeneous treatment of five characterisations of Killing vector fields on semi-Riemannian supermanifolds, thus filling a gap in the literature.

• OSTI ID: 22306042
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HIGH ENERGY PHYSICS
MATHEMATICAL MODELS
RIEMANN SPACE
SIGMA MODEL
SUPERSYMMETRY
VECTOR FIELDS