Flag manifold σ -models: The 1N -expansion and the anomaly two-form

Bykov, Dmitri  (Max-Planck-Institut für Physik, Föhringer Ring 6, Munich, D-80805, Germany) (Steklov Mathematical Institute of Russ. Acad. Sci., Gubkina str. 8, Moscow, 119991, Russia)

05 March 2019

Abstract: We construct a gauged linear sigma-model representation and develop a 1N -expansion for flag manifold σ -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.

Published in: Nuclear Physics B 941 (2019) 316-360
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.02.006
License: CC-BY-3.0

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