Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-11
Nucl.Phys. B454 (1995) 427-448
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, latex
Scientific paper
10.1016/0550-3213(95)00455-2
This paper is a sequel to one in which we examined the affine symmetry algebras of arbitrary classical principal chiral models and symmetric space models in two dimensions. It examines the extension of those results in the presence of gravity. The main result is that even though the symmetry transformations of the fields depend on the gravitational background, the symmetry algebras of these classical theories are completely unchanged by the presence of arbitrary gravitational backgrounds. On the other hand, we are unable to generalize the Virasoro symmetries of the flat-space theories to theories with gravity.
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