Abstract:
In the nonlinear σσ model, conserved tensor currents associated with the presence of
isometric, homothetic, and affine motions in the space of values of the chiral field VNVN
are constructed. New classes of exact solutions in the SO(3)SO(3)- and SO(5)SO(5)-invariant σσ
models are obtained using the connection between the groups of isometric and
homothetic motions of space-time and the isometric motions in VNVN. Some methods
for obtaining exact solutions in the four-dimensional σσ model with nontrivial
topological charge are considered.
Citation:
G. G. Ivanov, “Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model”, TMF, 62:1 (1985), 144–152; Theoret. and Math. Phys., 62:1 (1985), 95–101