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Explicit Construction of Supercharges of Supersymmetric Nonlinear Sigma Models in 1 + 1 Spacetime Dimensions
Author(s) -
Wiedemann A.,
MüllerKirsten H. J. W.
Publication year - 1993
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190410504
Subject(s) - supersymmetry , superspace , noether's theorem , sigma model , spacetime , physics , sigma , connection (principal bundle) , mathematical physics , d term , nonlinear system , supercharge , supersymmetry algebra , f term , supermultiplet , theoretical physics , mathematics , quantum mechanics , geometry , supergravity , lagrangian
Considering the N = 1 supersymmetry transformations of supersymmetric nonlinear sigma models in 1 + 1 dimensions we construct explicitly conserved Noether currents associated with supersymmetry transformations and derive the associated conserved charges in terms of the basic fields. We compare this result with superspace calculations. Finally we review the connection between extended supersymmetry and the geometry of the target space and derive an explicit form of the supercharges for extended supersymmetry.