Quantum Flag Manifold s-Models and Hermitian Ricci Flow

Bykov, Dmitri (2022): Quantum Flag Manifold s-Models and Hermitian Ricci Flow. In: Communications in Mathematical Physics, Bd. 401, Nr. 1: S. 1-32

Abstract

We show that flag manifold sigma-models (including CPn-1, Grassmannian models as special cases) and their deformed versions may be cast in the form of gauged bosonic Thirring/Gross-Neveu-type systems. Quantum mechanically the gauging is violated by chiral anomalies, which may be cancelled by adding fermions. We conjecture that such models are integrable and check on some examples that the trigonometrically deformed geometries satisfy the generalized Ricci flow equations.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0010-3616
• Sprache: Englisch