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Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
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We construct a gauged linear sigma-model representation and develop a 1/N-expansion for flag manifold sigma-models previously proposed by the author. Classically there exists a zero-curvature representation for the equations of motion of these models, which leads in particular to the existence of a conserved non-local charge. We show that at the quantum level this charge is no longer conserved and calculate explicitly the anomaly in its conservation law.
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Cited by 2 Pith papers
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Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets
Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.
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General Composite Non-Abelian Strings and Flag Manifold Sigma Models
The paper constructs BPS composite vortex strings whose worldsheet dynamics is a Flag manifold sigma model with couplings fixed by flux differences, and gives GLSM and NLSM formulations.
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