The Berkovits Method for Conformally Invariant Non-linear Sigma-models on G/H

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages

Scientific paper

10.1016/j.physletb.2006.06.042

We discuss 2-dimmensional non-linear sigma-models on the Kaehler manifold G/H
in the first order formalisim. Using the Berkovits method we explicitly
construct the G-symmetry currents and primaries, when G/H are irreducible. It
is a variant of the Wakimoto realization of the affine Lie algebra using a
particular reducible Kaehler manifold G/U(1)^r with r the rank of G.

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