ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Various two-dimensional σ models enjoy an infinite set of infinitesimal transformations acting on their solution space. The action of these symmetries is investigated for the Euclidean projective and Grassmannian σ models. On the (anti-) self-dual sector of the latter, the algebra of symmetries is shown to collapse to a finite-dimensional algebra isomorphic to sl(n+1,C) for the models with fields in the Grassmannians Gn+1,p. The finite action obtained by exponentiation is given in a closed form. For CPn models, this result is extended to the whole space of finite action solutions and the structure of the algebra remains sl(n+1,C). Hence the action is not transitive on the solution space.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527941
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