Group structure of hidden symmetry transformations for supersymmetric nonlinear sigma models

Journal Article · Sun Sep 01 04:00:00 EDT 1985 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01018268· OSTI ID:6930194

Zaikov, R P

The author investigates the group structure of the hidden symmetry transformations for classical two-dimensional supersymmetric generalized nonlinear sigma models. It is shown that the generators with positive and with negative index separately form infinite closed Lie algebras isomorphic to the algebra that is partially the Lie algebra of the subgroup G that leaves the initial data invariant and F(t) is the class of rational functions.

• Research Organization: Joint Institute for Nuclear Research, Dubna
• OSTI ID: 6930194
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 62:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GRADED LIE GROUPS
HIDDEN VARIABLES
LIE GROUPS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PARTICLE MODELS
SIGMA MODEL
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS